Table A.1.

Relevant information about the full sample of galaxy clusters. Columns: (1) galaxy cluster name; (2-3) right ascension and declination in J2000; (4) redshift; (5) characteristic magnitude in the r-band; (6) R₂₀₀ in Mpc; (7) M₂₀₀ in 10⁴⁴M/M_⊙ units; (8) cluster member galaxies using photometric redshifts; (9) concentration; (10) centroid shift; (11) power ratio; (12) morphological parameter; (13) BCG/X-ray peak offset in kpc; (14) BCG/X-ray centroid offset in kpc; (15) dynamical state.

Name	RA	Dec	z	$m_r^{\ast }$	R200	M200	N	log(c)	log(ω)	log(P3/P0)	δ	$D_{BCG-X_P}$	$D_{BCG-X_C}$	Dynamical state
(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)	(10)	(11)	(12)	(13)	(14)	(15)
Abell 2715	0.6792	-34.6622	0.116	16.89	1.24	3.08	39	-0.76 ± 0.01	-1.52 ± 0.01	-5.64 ± 0.03	1.51 ± 0.01	24	83	Disturbed
Abell 2697	0.8004	-6.0937	0.248	18.75	1.56	6.12	154	-0.66 ± 0.02	-2.38 ± 0.02	-6.67 ± 0.13	-0.27 ± 0.01	40	57	Relaxed
Abell 2744	3.5800	-30.3922	0.308	19.31	1.95	11.91	146	-1.01 ± 0.03	-1.54 ± 0.01	-6.19 ± 0.11	0.71 ± 0.01	155	336	Disturbed
CL0019.6+0336	4.9101	3.6022	0.269	18.95	1.81	9.48	148	-0.70 ± 0.01	-1.78 ± 0.01	-6.26 ± 0.09	0.49 ± 0.01	45	139	Disturbed
Abell S67	10.2523	-44.4871	0.324	19.44	1.79	9.22	125	-0.71 ± 0.02	-2.75 ± 0.05	-4.66 ± 0.04	1.37 ± 0.01	41	33	Intermediate
Abell 2811	10.5310	-28.5360	0.108	16.72	1.42	4.59	134	-0.61 ± 0.01	-2.39 ± 0.01	-7.10 ± 0.09	-0.10 ± 0.01	37	40	Relaxed
Abell 2813	10.8532	-20.6246	0.292	19.17	1.95	11.83	99	-0.67 ± 0.02	-2.26 ± 0.04	-7.32 ± 0.33	0.09 ± 0.01	122	108	Intermediate
Abell S84	12.3461	-29.5203	0.108	16.72	1.53	5.69	107	-0.46 ± 0.01	-3.16 ± 0.05	-9.05 ± 0.51	-0.56 ± 0.01	4	5	Relaxed
Abell 122	14.3450	-26.2826	0.114	16.84	1.37	4.07	23	-0.66 ± 0.01	-2.40 ± 0.01	-8.54 ± 0.33	0.26 ± 0.01	10	31	Relaxed
WHL J010455.4+000336	16.2303	0.0605	0.277	19.02	1.76	8.73	172	-0.87 ± 0.01	-1.62 ± 0.01	-6.67 ± 0.04	1.36 ± 0.01	8	121	Disturbed
Abell 141	16.3870	-24.6453	0.230	18.55	1.85	10.12	40	-0.92 ± 0.02	-1.29 ± 0.01	-5.34 ± 0.06	1.53 ± 0.01	517	368	Disturbed
SPT-CLJ0106-5943	16.6184	-59.7206	0.348	19.63	1.49	5.24	186	-0.54 ± 0.01	-2.62 ± 0.01	-7.03 ± 0.03	0.27 ± 0.01	14	35	Relaxed
Z348	16.7062	1.0558	0.251	18.78	1.27	3.24	72	-0.19 ± 0.01	-3.84 ± 0.01	-7.51 ± 0.02	-0.34 ± 0.01	207	207	Intermediate
RXC J0117.8-5455	19.4642	-54.9224	0.251	18.77	1.16	2.47	119	-0.40 ± 0.01	-4.16 ± 0.01	-5.59 ± 0.02	-0.01 ± 0.01	4	4	Relaxed
Abell 2895	19.5476	-26.9669	0.227	18.52	1.56	6.04	74	-0.87 ± 0.02	-1.68 ± 0.01	-6.42 ± 0.09	0.77 ± 0.01	43	60	Disturbed
PSZ1G295.60-51.95	23.3620	-64.5695	0.333	19.51	1.50	5.41	66	-1.14 ± 0.03	-1.77 ± 0.08	-5.41 ± 0.08	1.69 ± 0.01	864	534	Disturbed
Abell 222	24.3920	-12.9918	0.213	18.35	1.73	8.26	111	-0.89 ± 0.02	-1.90 ± 0.02	-6.81 ± 0.24	0.98 ± 0.01	5	110	Disturbed
Abell 223	24.4832	-12.8216	0.207	18.28	1.86	10.33	42	-0.63 ± 0.01	-2.71 ± 0.02	-6.92 ± 0.09	0.30 ± 0.01	25	24	Relaxed
RXC J0138.0-2155	24.5161	-21.9260	0.338	19.55	1.65	7.20	182	-0.29 ± 0.01	-3.51 ± 0.01	-7.91 ± 0.15	-0.42 ± 0.01	11	16	Relaxed
Abell 2941	26.2360	-53.0185	0.118	16.93	1.54	5.85	118	-0.89 ± 0.01	-1.61 ± 0.01	-7.05 ± 0.10	1.01 ± 0.01	139	92	Disturbed
ZGX J015223-140420	28.0901	-14.0881	0.330	19.49	1.27	3.28	133	-0.90 ± 0.02	-1.81 ± 0.04	-6.14 ± 0.16	1.15 ± 0.01	66	75	Disturbed
MACS J0152.5-2852	28.1443	-28.8939	0.341	19.58	1.68	7.63	162	-0.52 ± 0.03	-2.85 ± 0.07	-6.53 ± 0.05	0.52 ± 0.01	322	276	Intermediate
Abell 267	28.1759	1.0099	0.233	18.58	1.44	4.72	113	-0.58 ± 0.01	-2.17 ± 0.01	-9.28 ± 0.34	-0.04 ± 0.01	40	9	Relaxed
RXC J0153.5-0118	28.3934	-1.3022	0.244	18.70	1.33	3.72	92	-0.80 ± 0.02	-2.39 ± 0.03	-6.17 ± 0.13	0.57 ± 0.01	6	66	Intermediate
Abell 286	29.6108	-1.7782	0.160	17.65	1.38	4.21	95	-0.77 ± 0.02	-1.95 ± 0.02	-6.57 ± 0.09	0.71 ± 0.01	28	53	Intermediate
GMBCG J030.1+00.7	30.1278	0.7409	0.345	19.61	1.07	1.98	49	-0.31 ± 0.01	-3.36 ± 0.01	-4.95 ± 0.03	0.31 ± 0.01	19	18	Intermediate
WHL J020046-064230	30.1921	-6.7081	0.338	19.55	1.24	3.08	86	-0.71 ± 0.02	-2.85 ± 0.06	-5.98 ± 0.16	1.13 ± 0.01	4	51	Intermediate
Abell 291	30.4300	-2.1973	0.197	18.16	1.32	3.69	97	-0.31 ± 0.01	-3.72 ± 0.26	-9.20 ± 0.56	-0.60 ± 0.01	9	5	Relaxed
ACT-CLJ0217-5245	34.2794	-52.7494	0.343	19.59	1.45	4.84	58	-1.07 ± 0.01	-0.75 ± 0.05	-6.92 ± 0.41	1.46 ± 0.01	399	190	Disturbed
RXC J0220.9-3829	35.2359	-38.4808	0.228	18.53	1.34	3.84	67	-0.37 ± 0.01	-3.72 ± 0.01	-7.84 ± 0.06	-0.45 ± 0.01	11	13	Relaxed
PLCKESZG256.4-65	36.3556	-42.0147	0.220	18.44	1.51	5.49	164	-0.58 ± 0.01	-2.99 ± 0.05	-6.97 ± 0.18	0.25 ± 0.01	25	45	Relaxed
WHL J022544-031233	36.4286	-3.2094	0.141	17.35	1.30	3.52	53	-0.99 ± 0.01	-0.82 ± 0.01	-6.08 ± 0.02	1.09 ± 0.01	77	286	Disturbed
Abell 3017	36.4714	-41.9167	0.220	18.43	1.66	7.30	73	-0.48 ± 0.02	-3.13 ± 0.08	-5.87 ± 0.10	0.22 ± 0.01	28	56	Intermediate
Abell 362	37.9199	-4.8862	0.184	17.99	1.75	8.59	54	-0.94 ± 0.01	-1.27 ± 0.01	-6.64 ± 0.14	0.80 ± 0.01	44	79	Disturbed
SPT-CLJ0232-4421	38.0789	-44.3469	0.284	19.09	1.73	8.30	133	-0.51 ± 0.01	-2.89 ± 0.06	-6.65 ± 0.15	0.55 ± 0.01	119	104	Intermediate
ACT-CLJ0235-5121	38.9377	-51.3530	0.278	19.04	1.56	6.01	137	-0.82 ± 0.01	-1.36 ± 0.01	-6.23 ± 0.10	0.65 ± 0.01	27	115	Disturbed
Abell 368	39.3658	-26.5082	0.220	18.44	1.52	5.64	110	-0.38 ± 0.01	-3.26 ± 0.01	-7.72 ± 0.04	-0.21 ± 0.01	2	14	Relaxed
Abell 3038	39.4993	-52.4136	0.135	17.24	1.29	3.43	138	-0.59 ± 0.01	-2.00 ± 0.01	-6.26 ± 0.02	0.80 ± 0.01	8	56	Intermediate
WHL J023941-012812	39.9306	-1.4682	0.325	19.44	1.31	3.57	129	-0.95 ± 0.03	-1.62 ± 0.04	-5.20 ± 0.05	1.32 ± 0.01	122	45	Disturbed
Abell 3041	40.3412	-28.6540	0.235	18.61	1.90	10.93	110	-0.90 ± 0.02	-1.25 ± 0.01	-5.76 ± 0.05	1.31 ± 0.01	107	136	Disturbed
MCXC J0244.1-2611	41.0526	-26.1748	0.136	17.26	1.57	6.15	81	-0.97 ± 0.01	-1.74 ± 0.02	-6.22 ± 0.08	1.35 ± 0.01	7	79	Disturbed
Abell S295	41.3625	-53.0291	0.300	19.24	1.48	5.19	198	-0.80 ± 0.01	-0.90 ± 0.01	-7.02 ± 0.06	1.12 ± 0.01	88	256	Disturbed
Abell 3048	41.4935	-20.4882	0.309	19.31	1.37	4.07	65	-0.64 ± 0.02	-2.57 ± 0.04	-6.25 ± 0.14	0.35 ± 0.01	22	37	Intermediate
PLCKG205.0-63.0	41.6076	-20.5556	0.310	19.32	1.71	7.95	97	-1.03 ± 0.02	-1.60 ± 0.02	-6.28 ± 0.24	1.21 ± 0.01	48	37	Disturbed
Abell 383	42.0146	-3.5291	0.190	18.07	1.50	5.39	45	-0.27 ± 0.01	-3.68 ± 0.03	-8.18 ± 0.04	-0.59 ± 0.01	4	6	Relaxed
Abell 384	42.0498	-2.2765	0.236	18.61	1.63	6.87	119	-0.73 ± 0.02	-2.13 ± 0.02	-7.10 ± 0.24	0.23 ± 0.01	203	202	Intermediate
Abell 402	44.4229	-22.1556	0.322	19.43	1.96	11.94	26	-0.47 ± 0.01	-2.56 ± 0.01	-6.39 ± 0.01	0.26 ± 0.01	28	28	Intermediate
WHL J025932+001354	44.8850	0.2311	0.201	18.21	1.24	3.01	66	-0.69 ± 0.02	-1.75 ± 0.03	-6.43 ± 0.12	0.97 ± 0.01	11	39	Intermediate
Abell 3088	46.7590	-28.6666	0.253	18.8	1.57	6.22	77	-0.46 ± 0.02	-2.71 ± 0.03	-8.22 ± 0.56	-0.70 ± 0.01	10	7	Relaxed
MCXC J0320.6-4311	50.1552	-43.1972	0.149	17.48	1.38	4.20	47	-0.67 ± 0.01	-2.24 ± 0.04	-5.89 ± 0.03	0.79 ± 0.01	13	13	Intermediate
MCXC J0336.8-2804	54.2103	-28.0829	0.105	16.66	1.53	5.69	35	-0.85 ± 0.01	-2.36 ± 0.02	-6.07 ± 0.04	0.98 ± 0.01	27	28	Intermediate
SPT-CLJ0348-4514	57.0706	-45.2492	0.325	19.45	1.70	7.87	151	-0.68 ± 0.01	-1.94 ± 0.01	-6.38 ± 0.03	0.43 ± 0.01	14	1	Intermediate
Abell 3213	61.0708	-27.0935	0.250	18.76	1.77	8.84	149	-0.56 ± 0.01	-2.56 ± 0.01	-5.04 ± 0.02	2.19 ± 0.01	2	53	Intermediate
WHY J040650-565840	61.7102	-56.9786	0.226	18.51	1.18	2.65	149	-0.68 ± 0.02	-2.10 ± 0.07	-6.51 ± 0.12	1.59 ± 0.01	16	42	Intermediate
RXC J0439.2-4600	69.8091	-46.0146	0.340	19.57	1.26	3.18	26	-0.40 ± 0.01	-3.06 ± 0.01	-7.96 ± 0.12	0.06 ± 0.01	21	25	Relaxed
Abell S506	75.2857	-24.4208	0.320	19.41	1.52	5.59	41	-0.93 ± 0.02	-1.58 ± 0.02	-5.98 ± 0.11	0.77 ± 0.01	38	44	Intermediate
Abell 3322	77.5695	-45.3200	0.200	18.20	1.64	7.06	123	-0.65 ± 0.02	-2.60 ± 0.05	-7.02 ± 0.11	0.53 ± 0.01	36	33	Relaxed
Abell S520	79.1508	-54.5021	0.295	19.19	1.77	8.89	83	-1.03 ± 0.02	-1.37 ± 0.01	-6.73 ± 0.45	1.57 ± 0.01	51	312	Disturbed
SPT-CLJ0522-4818	80.5664	-48.3056	0.296	19.20	1.33	3.75	137	-0.44 ± 0.01	-3.00 ± 0.05	-6.38 ± 0.02	0.03 ± 0.01	20	38	Intermediate
Abell 3343	81.4546	-47.2528	0.191	18.09	1.52	5.62	47	-0.55 ± 0.01	-3.16 ± 0.01	-6.73 ± 0.01	-0.07 ± 0.01	0	21	Relaxed
RXC J0528.2-2942	82.0622	-29.7215	0.158	17.62	1.39	4.31	122	-0.62 ± 0.01	-3.17 ± 0.03	-7.35 ± 0.04	0.34 ± 0.01	40	33	Relaxed
MCXC J0528.9-3927	82.2215	-39.4719	0.263	18.89	1.55	5.92	117	-0.62 ± 0.01	-2.28 ± 0.01	-7.36 ± 0.36	0.29 ± 0.01	6	65	Relaxed
RXC J0532.9-3701	83.2323	-37.0273	0.275	19.01	1.88	10.58	82	-0.53 ± 0.01	-2.56 ± 0.03	-7.02 ± 0.03	-0.28 ± 0.01	10	12	Relaxed
Abell 3364	86.9093	-31.8709	0.148	17.47	1.61	6.65	50	-0.68 ± 0.01	-2.09 ± 0.02	-7.96 ± 0.28	0.16 ± 0.01	28	38	Relaxed
Abell 3378	91.4753	-35.3029	0.141	17.35	1.33	3.78	76	-0.34 ± 0.01	-3.74 ± 0.01	-6.83 ± 0.01	-0.36 ± 0.01	6	12	Relaxed
Abell S579	94.1357	-39.7998	0.152	17.53	1.30	3.47	210	-0.75 ± 0.01	-2.14 ± 0.03	-6.71 ± 0.12	0.83 ± 0.01	23	69	Intermediate
RXC J2011.3-5725	302.8642	-57.4201	0.279	19.04	1.15	2.40	33	-0.38 ± 0.01	-2.96 ± 0.11	-7.08 ± 0.12	-0.19 ± 0.01	16	20	Relaxed
RXC J2023.4-5535	305.8407	-55.5967	0.232	18.57	2.01	12.98	130	-0.94 ± 0.01	-1.26 ± 0.01	-6.16 ± 0.06	1.10 ± 0.01	28	160	Disturbed
SPTCL J2031-4037	307.9709	-40.6238	0.342	19.58	1.50	5.36	84	-0.63 ± 0.01	-1.77 ± 0.01	-6.25 ± 0.01	0.95 ± 0.01	27	95	Intermediate
SPTCL J2032-5627	308.1194	-56.4836	0.284	19.09	1.52	5.62	203	-1.07 ± 0.02	-0.82 ± 0.01	-5.74 ± 0.13	1.27 ± 0.01	896	432	Disturbed
PLCKG334.8-38.0A	313.0701	-61.2088	0.350	19.65	1.12	2.24	85	-0.56 ± 0.01	-3.05 ± 0.04	-7.41 ± 0.44	0.36 ± 0.01	9	31	Relaxed
PLCKG334.8-38.0B	313.2791	-61.1880	0.350	19.65	1.30	3.55	74	-1.00 ± 0.01	-0.93 ± 0.03	-7.24 ± 0.41	1.57 ± 0.01	12	39	Intermediate
Abell 3718	313.9832	-54.9268	0.139	17.31	1.52	5.64	82	-0.31 ± 0.01	-3.01 ± 0.05	-7.53 ± 0.10	0.19 ± 0.01	30	8	Relaxed
Abell 3739	316.0792	-41.3459	0.165	17.73	1.50	5.44	74	-0.70 ± 0.01	-2.46 ± 0.05	-7.63 ± 0.41	0.22 ± 0.01	10	21	Intermediate
RM J2118.8+0033	319.7382	0.5479	0.270	18.96	1.80	9.24	54	-1.00 ± 0.01	-0.86 ± 0.01	-4.93 ± 0.02	1.50 ± 0.28	526	452	Disturbed
RBS1748	322.4171	0.0883	0.235	18.6	1.51	5.52	141	-0.36 ± 0.01	-2.99 ± 0.03	-7.78 ± 0.19	-0.29 ± 0.01	13	23	Relaxed
WHL J213004-002108	322.5165	-0.3526	0.243	18.69	1.42	4.59	172	-0.56 ± 0.02	-2.55 ± 0.02	-6.00 ± 0.06	0.32 ± 0.01	6	21	Intermediate
WHL J213027-000024	322.6115	-0.0096	0.143	17.38	1.28	3.34	42	-0.96 ± 0.02	-1.77 ± 0.02	-5.81 ± 0.05	1.85 ± 0.01	27	20	Intermediate
SPT-CLJ2130-6458	322.7347	-64.9796	0.316	19.37	1.28	3.36	40	-0.63 ± 0.01	-2.50 ± 0.05	-7.00 ± 0.19	0.44 ± 0.01	28	21	Relaxed
Abell 3783	323.5031	-42.6477	0.196	18.14	1.95	11.85	86	-0.69 ± 0.01	-2.28 ± 0.04	-7.58 ± 0.38	0.12 ± 0.01	5	32	Relaxed
SPT-CLJ2138-6007	324.5053	-60.1328	0.319	19.40	1.80	9.38	40	-0.68 ± 0.02	-2.42 ± 0.04	-6.56 ± 0.20	-0.09 ± 0.01	23	31	Relaxed
Abell 3827	330.4739	-59.9464	0.099	16.51	1.62	6.77	136	-0.67 ± 0.01	-2.82 ± 0.03	-7.45 ± 0.26	-0.55 ± 0.01	8	9	Relaxed
Abell 3830	330.9509	-61.6008	0.211	18.33	1.26	3.23	61	-0.47 ± 0.02	-2.81 ± 0.03	-5.59 ± 0.02	0.44 ± 0.01	13	46	Intermediate
Abell S1063	342.1853	-44.5311	0.348	19.63	1.86	10.25	45	-0.57 ± 0.01	-1.76 ± 0.03	-8.02 ± 0.72	0.04 ± 0.01	27	73	Intermediate
Abell 2537	347.0922	-2.1928	0.297	19.21	1.98	12.48	69	-0.51 ± 0.01	-2.79 ± 0.03	-7.42 ± 0.05	-0.26 ± 0.01	11	23	Relaxed
Abell 2631	354.4076	0.2671	0.273	18.99	1.60	6.56	90	-0.88 ± 0.03	-1.68 ± 0.02	-6.46 ± 0.17	0.87 ± 0.01	138	34	Disturbed
ZwCl2341.1+0000	355.8981	0.3313	0.270	18.96	1.78	8.94	42	-1.25 ± 0.04	-0.75 ± 0.01	-6.74 ± 0.40	1.50 ± 0.01	9	322	Disturbed