Subgroups — #28292112

Order 13568.

7998 conjugacy classes of subgroups.

The subgroup lattice has 2632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288758	C₂	1	2	yes	maximal, complemented
2	#20288752	C₂	1	2	yes	maximal, complemented
3	#20288741	C₂	1	2	yes	maximal, complemented
4	#20288735	C₂	1	2	yes	maximal, complemented
5	#20288647	C₂	1	4	yes	maximal, complemented
6	#20288641	C₂	1	4	yes	maximal, complemented
7	#20288558	C₂	1	2	yes	maximal, complemented
8	#20288556	C₂	1	1	yes	maximal, characteristic, complemented
9	#20288549	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288543	C₂	1	2	yes	maximal, complemented
11	#20288511	C₂	1	1	yes	maximal, characteristic, complemented
12	#20288472	C₂	1	1	yes	maximal, characteristic, complemented
13	#20288416	C₂	1	2	yes	maximal, complemented
14	#20288402	C₂	1	2	yes	maximal, complemented
15	#20288398	C₂	1	2	yes	maximal, complemented
16	#20288344	C₂	1	2	yes	maximal, complemented
17	#20288319	C₂	1	4	yes	maximal, complemented
18	#20288317	C₂	1	4	yes	maximal, complemented
19	#20288275	C₂	1	2	yes	maximal, complemented
20	#20288269	C₂	1	2	yes	maximal, complemented
21	#41×C₂²⋊D₅₃	C₂	1	2	yes	maximal, complemented
22	#20288198	C₂	1	2	yes	maximal, complemented
23	#20288133	C₂	1	2	yes	maximal, complemented
24	#20288124	C₂	1	2	yes	maximal, complemented
25	#20288122	C₂	1	2	yes	maximal, complemented
26	#20288007	C₂	1	2	yes	maximal, complemented
27	C₂×#16811134	C₂	1	1	yes	maximal, characteristic, complemented
28	#525×D₅₃	C₂	1	2	yes	maximal, complemented
29	C₄×#13133262	C₂	1	2	yes	maximal, complemented
30	C₂²×C₄×C₂²⋊D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₅₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133262	C₂²	1	2	yes	—
33	C₂²×#11719945	C₂²	1	1	yes	characteristic, complemented
34	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
35	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
36	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
37	#16811357	C₂²	1	4	yes	complemented
38	#16811356	C₂²	1	4	yes	complemented
39	#16811344	C₂²	1	2	yes	complemented
40	#16811341	C₂²	1	2	yes	complemented
41	#16811337	C₂²	1	2	yes	complemented
42	#16811336	C₂²	1	2	yes	complemented
43	#16811332	C₂²	1	4	yes	complemented
44	#16811331	C₂²	1	2	yes	complemented
45	#16811328	C₂²	1	2	yes	complemented
46	#16811328	C₂²	1	4	yes	complemented
47	#16811327	C₂²	1	4	yes	complemented
48	#16811327	C₂²	1	4	yes	complemented
49	#16811325	C₂²	1	2	yes	complemented
50	#16811323	C₂²	1	4	yes	complemented
51	#16811322	C₂²	1	4	yes	complemented
52	#16811322	C₂²	1	4	yes	complemented
53	#16811321	C₂²	1	2	yes	complemented
54	#16811321	C₂²	1	4	yes	complemented
55	#16811320	C₂²	1	2	yes	complemented
56	#16811318	C₂²	1	4	yes	complemented
57	#16811318	C₂²	1	4	yes	complemented
58	#16811317	C₂²	1	2	yes	complemented
59	#16811316	C₂²	1	4	yes	complemented
60	#16811316	C₂²	1	4	yes	complemented
61	#16811315	C₂²	1	2	yes	complemented
62	#16811312	C₂²	1	2	yes	complemented
63	#16811310	C₂²	1	4	yes	complemented
64	#16811308	C₂²	1	2	yes	complemented
65	#16811307	C₂²	1	2	yes	complemented
66	#16811306	C₂²	1	4	yes	complemented
67	#16811304	C₂²	1	4	yes	complemented
68	#16811304	C₂²	1	4	yes	complemented
69	#16811302	C₂²	1	4	yes	complemented
70	#16811302	C₂²	1	4	yes	complemented
71	#16811301	C₂²	1	4	yes	complemented
72	#16811300	C₂²	1	4	yes	complemented
73	#16811300	C₂²	1	4	yes	complemented
74	#16811299	C₂²	1	4	yes	complemented
75	#16811299	C₂²	1	4	yes	complemented
76	#16811299	C₂²	1	4	yes	complemented
77	#16811297	C₂²	1	4	yes	complemented
78	#16811296	C₂²	1	4	yes	complemented
79	#16811292	C₂²	1	2	yes	complemented
80	#16811291	C₂²	1	2	yes	complemented
81	Q₈×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
82	#16811286	C₂²	1	2	yes	complemented
83	#16811284	C₂²	1	2	yes	complemented
84	#16811283	C₂²	1	2	yes	complemented
85	#16811280	C₂²	1	2	yes	complemented
86	#16811279	C₂²	1	2	yes	complemented
87	#16811275	C₂²	1	2	yes	complemented
88	#16811274	C₂²	1	2	yes	complemented
89	#16811273	C₂²	1	2	yes	complemented
90	#16811272	C₂²	1	4	yes	complemented
91	#16811272	C₂²	1	2	yes	complemented
92	#16811271	C₂²	1	4	yes	complemented
93	#16811270	C₂²	1	2	yes	complemented
94	#16811268	C₂²	1	4	yes	complemented
95	#16811267	C₂²	1	4	yes	complemented
96	#16811267	C₂²	1	4	yes	complemented
97	#16811267	C₂²	1	2	yes	complemented
98	#16811265	C₂²	1	4	yes	complemented
99	#16811264	C₂²	1	2	yes	complemented
100	#16811263	C₂²	1	4	yes	complemented
101	#16811263	C₂²	1	4	yes	complemented
102	#16811263	C₂²	1	4	yes	complemented
103	#16811262	C₂²	1	4	yes	complemented
104	#16811262	C₂²	1	4	yes	complemented
105	#16811261	C₂²	1	4	yes	complemented
106	#16811261	C₂²	1	2	yes	complemented
107	#16811260	C₂²	1	4	yes	complemented
108	#16811260	C₂²	1	4	yes	complemented
109	#16811260	C₂²	1	4	yes	complemented
110	#16811260	C₂²	1	4	yes	complemented
111	#16811257	C₂²	1	2	yes	complemented
112	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
113	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
114	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
115	#16811255	C₂²	1	4	yes	complemented
116	#16811255	C₂²	1	4	yes	complemented
117	#16811252	C₂²	1	2	yes	complemented
118	#16811249	C₂²	1	2	yes	complemented
119	#16811248	C₂²	1	2	yes	complemented
120	#16811243	C₂²	1	4	yes	complemented
121	#16811241	C₂²	1	4	yes	complemented
122	#16811225	C₂²	1	4	yes	complemented
123	#16811223	C₂²	1	4	yes	complemented
124	#16811222	C₂²	1	2	yes	complemented
125	#16811220	C₂²	1	4	yes	complemented
126	#16811219	C₂²	1	4	yes	complemented
127	#16811218	C₂²	1	2	yes	complemented
128	#16811216	C₂²	1	4	yes	complemented
129	#16811215	C₂²	1	4	yes	complemented
130	#16811215	C₂²	1	4	yes	complemented
131	#16811213	C₂²	1	2	yes	complemented
132	#16811211	C₂²	1	4	yes	complemented
133	#16811210	C₂²	1	2	yes	complemented
134	#16811209	C₂²	1	4	yes	complemented
135	#16811208	C₂²	1	4	yes	complemented
136	#16811208	C₂²	1	4	yes	complemented
137	#16811206	C₂²	1	4	yes	complemented
138	#16811206	C₂²	1	4	yes	complemented
139	#16811205	C₂²	1	4	yes	complemented
140	#16811200	C₂²	1	2	yes	complemented
141	#16811188	C₂²	1	4	yes	complemented
142	#16811185	C₂²	1	2	yes	complemented
143	#16811183	C₂²	1	4	yes	complemented
144	#16811182	C₂²	1	2	yes	complemented
145	#16811182	C₂²	1	2	yes	complemented
146	#16811181	C₂²	1	2	yes	complemented
147	#16811176	C₂²	1	2	yes	complemented
148	#16811175	C₂²	1	2	yes	complemented
149	#16811175	C₂²	1	2	yes	complemented
150	#16811170	C₂²	1	4	yes	complemented
151	#16811169	C₂²	1	2	yes	complemented
152	#16811169	C₂²	1	4	yes	complemented
153	#16811168	C₂²	1	2	yes	complemented
154	#16811168	C₂²	1	2	yes	complemented
155	#16811159	C₂²	1	2	yes	complemented
156	#16811159	C₂²	1	2	yes	complemented
157	#16811157	C₂²	1	4	yes	complemented
158	#16811155	C₂²	1	4	yes	complemented
159	#16811154	C₂²	1	2	yes	complemented
160	#16811154	C₂²	1	2	yes	complemented
161	#16811153	C₂²	1	4	yes	complemented
162	#16811153	C₂²	1	4	yes	complemented
163	#16811153	C₂²	1	4	yes	complemented
164	#16811153	C₂²	1	4	yes	complemented
165	#16811151	C₂²	1	4	yes	complemented
166	#16811151	C₂²	1	4	yes	complemented
167	#16811150	C₂²	1	4	yes	complemented
168	#16811150	C₂²	1	4	yes	complemented
169	#16811136	C₂²	1	2	yes	complemented
170	#16811136	C₂²	1	2	yes	complemented
171	#16811135	C₂²	1	2	yes	complemented
172	#16811134	C₂²	1	2	yes	complemented
173	#16811134	C₂²	1	2	yes	complemented
174	#16811134	C₂²	1	2	yes	complemented
175	#16811134	C₂²	1	2	yes	complemented
176	#16811134	C₂²	1	2	yes	complemented
177	#16811134	C₂²	1	2	yes	complemented
178	#16811134	C₂²	1	2	yes	complemented
179	#16811134	C₂²	1	2	yes	complemented
180	#16811134	C₂²	1	4	yes	complemented
181	#16811133	C₂²	1	2	yes	complemented
182	#16811133	C₂²	1	2	yes	complemented
183	#16811132	C₂²	1	4	yes	complemented
184	#16811132	C₂²	1	4	yes	complemented
185	#16811132	C₂²	1	4	yes	complemented
186	#16811132	C₂²	1	4	yes	complemented
187	#16811131	C₂²	1	4	yes	complemented
188	#16811130	C₂²	1	2	yes	complemented
189	#16811130	C₂²	1	4	yes	complemented
190	#16811129	C₂²	1	4	yes	complemented
191	#16811129	C₂²	1	4	yes	complemented
192	#16811129	C₂²	1	4	yes	complemented
193	C₂×#13133200	C₂²	1	2	yes	complemented
194	#123×D₅₃	C₂²	1	4	yes	complemented
195	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
196	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
197	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
198	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
199	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
200	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
201	#121×D₅₃	C₂²	1	2	yes	complemented
202	#121×D₅₃	C₂²	1	2	yes	complemented
203	C₂×#13133186	C₂²	1	2	yes	complemented
204	#120×D₅₃	C₂²	1	4	yes	complemented
205	#16811104	C₂²	1	4	yes	complemented
206	#16811102	C₂²	1	4	yes	complemented
207	#16811102	C₂²	1	4	yes	complemented
208	#16811098	C₂²	1	2	yes	complemented
209	#16811096	C₂²	1	2	yes	—
210	#16811096	C₂²	1	2	yes	complemented
211	#16811096	C₂²	1	4	yes	complemented
212	#16811095	C₂²	1	4	yes	complemented
213	#16811095	C₂²	1	4	yes	complemented
214	#41×Dic₅₃	C₂²	1	2	yes	complemented
215	C₄×#11719945	C₂²	1	4	yes	complemented
216	#16811091	C₂²	1	2	yes	complemented
217	C₄×#11719947	C₂²	1	4	yes	complemented
218	C₄×#11719947	C₂²	1	4	yes	complemented
219	C₄×#11719947	C₂²	1	4	yes	complemented
220	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
221	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
222	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
223	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
224	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
225	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
226	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
227	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
228	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
229	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
230	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
231	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
232	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
233	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
234	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
235	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
236	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
237	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
238	C₂×C₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
239	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
240	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
241	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
242	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
243	#117×D₅₃	C₂²	1	2	yes	complemented
244	C₂²×#11719919	C₂²	1	1	yes	characteristic, complemented
245	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic, complemented
246	C₂²×#11719921	C₂²	1	1	yes	characteristic, complemented
247	C₂²×C₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
248	C₂²×#41×C₅₃	C₂²	1	1	yes	characteristic, complemented
249	C₂⁴×C₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
250	C₅₃×#525	C₂²	1	2	yes	complemented
251	C₅₃×#525	C₂²	1	2	yes	complemented
252	C₅₃×#525	C₂²	1	2	yes	complemented
253	C₅₃×#525	C₂²	1	2	yes	complemented
254	C₅₃×#525	C₂²	1	2	yes	complemented
255	C₅₃×#525	C₂²	1	2	yes	complemented
256	C₅₃×#525	C₂²	1	2	yes	complemented
257	C₅₃×#525	C₂²	1	2	yes	complemented
258	C₂×#123×C₅₃	C₂²	1	2	yes	complemented
259	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
260	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
261	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
262	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
263	C₂×#120×C₅₃	C₂²	1	2	yes	complemented
264	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
265	C₂×C₄×D₄×C₅₃	C₂²	1	2	yes	complemented
266	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
268	#13133262	—	2	16	no	—
269	C₂×#11719949	C₂³	1	2	yes	complemented
270	C₂×#11719945	—	4	4	no	—
271	C₂×#11719945	C₂³	1	4	yes	—
272	C₂×#11719945	C₂³	1	2	yes	—
273	C₂×#11719945	C₂³	1	2	yes	—
274	C₂×#11719945	C₂³	1	2	yes	complemented
275	C₂×#11719945	C₂³	1	4	yes	complemented
276	C₂×#11719945	C₂³	1	2	yes	complemented
277	C₂×#11719947	C₂³	1	4	yes	—
278	C₂×#11719947	C₂³	1	4	yes	—
279	C₂×#11719947	C₂³	1	4	yes	—
280	C₂×#11719947	C₂³	1	4	yes	—
281	C₂×#11719947	C₂³	1	2	yes	complemented
282	#41×D₅₃	—	4	8	no	—
283	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
284	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
285	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
286	C₂²×C₂²⋊D₅₃	—	2	8	no	—
287	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
289	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
290	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
291	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
292	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
293	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
294	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
295	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
296	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
297	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
298	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
299	C₂×D₄×D₅₃	C₂³	1	4	yes	—
300	C₂×D₄×D₅₃	C₂³	1	4	yes	—
301	C₂×D₄×D₅₃	C₂³	1	4	yes	—
302	C₂×D₄×D₅₃	C₂³	1	4	yes	—
303	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
304	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
305	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
306	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
307	C₂²×C₄×D₅₃	—	4	4	no	—
308	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
309	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
310	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
311	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
312	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
313	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
314	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
315	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
316	C₂²×C₄×D₅₃	C₂³	1	4	yes	complemented
317	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
318	#13133216	C₂³	1	4	yes	complemented
319	#13133216	C₂³	1	2	yes	complemented
320	#13133216	C₂³	1	2	yes	complemented
321	#13133215	C₂³	1	2	yes	complemented
322	#13133215	C₂³	1	4	yes	complemented
323	#13133213	C₂³	1	4	yes	—
324	#13133213	C₂³	1	4	yes	—
325	#13133213	C₂³	1	2	yes	complemented
326	#13133212	C₂³	1	4	yes	complemented
327	#13133212	C₂³	1	4	yes	complemented
328	#13133212	C₂³	1	4	yes	complemented
329	#13133212	C₂³	1	4	yes	complemented
330	#13133212	C₂³	1	4	yes	complemented
331	#13133212	C₂³	1	4	yes	complemented
332	#13133211	C₂³	1	4	yes	complemented
333	#13133211	C₂³	1	4	yes	complemented
334	#13133210	C₂³	1	4	yes	complemented
335	#13133210	C₂³	1	4	yes	complemented
336	#13133210	C₂³	1	4	yes	complemented
337	#13133210	C₂³	1	4	yes	complemented
338	#13133210	C₂³	1	4	yes	complemented
339	#13133210	C₂³	1	4	yes	complemented
340	#13133210	C₂³	1	4	yes	complemented
341	#13133210	C₂³	1	4	yes	complemented
342	#13133209	C₂³	1	4	yes	complemented
343	#13133208	C₂³	1	2	yes	complemented
344	#13133208	C₂³	1	4	yes	complemented
345	#13133208	C₂³	1	2	yes	complemented
346	#13133207	C₂³	1	4	yes	complemented
347	#13133207	C₂³	1	4	yes	complemented
348	#13133207	C₂³	1	4	yes	complemented
349	#13133207	C₂³	1	4	yes	complemented
350	#13133207	C₂³	1	4	yes	complemented
351	#13133207	C₂³	1	4	yes	complemented
352	#13133206	C₂³	1	2	yes	complemented
353	#13133206	C₂³	1	4	yes	complemented
354	#13133205	C₂³	1	4	yes	complemented
355	#13133204	C₂³	1	2	yes	complemented
356	#13133204	C₂³	1	4	yes	complemented
357	#13133204	C₂³	1	4	yes	complemented
358	#13133203	C₂³	1	4	yes	—
359	#13133203	C₂³	1	4	yes	—
360	#13133203	C₂³	1	4	yes	complemented
361	#13133203	C₂³	1	4	yes	complemented
362	#13133203	C₂³	1	4	yes	complemented
363	#13133203	C₂³	1	4	yes	complemented
364	#13133203	C₂³	1	4	yes	complemented
365	#13133203	C₂³	1	4	yes	complemented
366	#13133202	C₂³	1	4	yes	complemented
367	#13133202	C₂³	1	4	yes	complemented
368	#13133202	C₂³	1	4	yes	complemented
369	#13133202	C₂³	1	4	yes	complemented
370	#13133202	C₂³	1	4	yes	complemented
371	#13133202	C₂³	1	4	yes	complemented
372	#13133201	C₂³	1	4	yes	—
373	#13133201	C₂³	1	4	yes	—
374	#13133201	C₂³	1	4	yes	—
375	#13133201	C₂³	1	4	yes	—
376	#13133201	C₂³	1	4	yes	complemented
377	#13133200	C₂³	1	4	yes	—
378	#13133200	C₂³	1	4	yes	—
379	#13133200	C₂³	1	4	yes	—
380	#13133200	C₂³	1	4	yes	complemented
381	#13133200	C₂³	1	4	yes	complemented
382	#13133200	C₂³	1	4	yes	complemented
383	#13133200	C₂³	1	4	yes	complemented
384	#13133200	C₂³	1	4	yes	complemented
385	#13133199	C₂³	1	4	yes	—
386	#13133199	C₂³	1	4	yes	—
387	#13133199	C₂³	1	4	yes	complemented
388	#13133199	C₂³	1	4	yes	complemented
389	#13133199	C₂³	1	4	yes	complemented
390	#13133199	C₂³	1	4	yes	complemented
391	#13133199	C₂³	1	4	yes	complemented
392	#13133199	C₂³	1	4	yes	complemented
393	#13133198	C₂³	1	4	yes	—
394	#13133198	C₂³	1	4	yes	—
395	#13133198	C₂³	1	4	yes	—
396	#13133198	C₂³	1	4	yes	complemented
397	#13133198	C₂³	1	4	yes	complemented
398	#13133198	C₂³	1	4	yes	complemented
399	#13133198	C₂³	1	4	yes	complemented
400	#13133197	C₂³	1	4	yes	complemented
401	#13133197	C₂³	1	2	yes	complemented
402	#13133197	C₂³	1	2	yes	complemented
403	#13133196	C₂³	1	2	yes	—
404	#13133196	C₂³	1	2	yes	—
405	#13133196	C₂³	1	2	yes	—
406	#13133196	C₂³	1	2	yes	—
407	#13133196	C₂³	1	4	yes	complemented
408	#13133196	C₂³	1	2	yes	complemented
409	#13133196	C₂³	1	4	yes	complemented
410	#13133196	C₂³	1	4	yes	complemented
411	#13133196	C₂³	1	2	yes	complemented
412	#13133196	C₂³	1	2	yes	complemented
413	#13133196	C₂³	1	2	yes	complemented
414	#13133195	C₂³	1	4	yes	complemented
415	#13133195	C₂³	1	4	yes	complemented
416	#13133195	C₂³	1	4	yes	complemented
417	#13133195	C₂³	1	4	yes	complemented
418	#13133195	C₂³	1	4	yes	complemented
419	#13133195	C₂³	1	4	yes	complemented
420	#13133194	C₂³	1	4	yes	—
421	#13133194	C₂³	1	4	yes	—
422	#13133194	C₂³	1	4	yes	—
423	#13133194	C₂³	1	4	yes	—
424	#13133194	C₂³	1	4	yes	—
425	#13133194	C₂³	1	4	yes	—
426	#13133194	C₂³	1	4	yes	complemented
427	#13133194	C₂³	1	4	yes	complemented
428	#13133194	C₂³	1	4	yes	complemented
429	#13133194	C₂³	1	4	yes	complemented
430	#13133193	C₂³	1	4	yes	complemented
431	#13133193	C₂³	1	2	yes	complemented
432	#13133193	C₂³	1	4	yes	complemented
433	#13133193	C₂³	1	2	yes	complemented
434	#13133192	C₂³	1	4	yes	complemented
435	#13133192	C₂³	1	2	yes	complemented
436	#13133192	C₂³	1	2	yes	complemented
437	#13133191	C₂³	1	2	yes	—
438	#13133191	C₂³	1	4	yes	—
439	#13133191	C₂³	1	4	yes	—
440	#13133191	C₂³	1	2	yes	—
441	#13133191	C₂³	1	2	yes	—
442	#13133191	C₂³	1	2	yes	—
443	#13133191	C₂³	1	4	yes	complemented
444	#13133191	C₂³	1	2	yes	complemented
445	#13133191	C₂³	1	2	yes	complemented
446	#13133191	C₂³	1	2	yes	complemented
447	#13133191	C₂³	1	2	yes	complemented
448	#13133190	C₂³	1	4	yes	—
449	#13133190	C₂³	1	4	yes	—
450	#13133190	C₂³	1	4	yes	—
451	#13133190	C₂³	1	4	yes	—
452	#13133190	C₂³	1	4	yes	complemented
453	#13133190	C₂³	1	4	yes	complemented
454	#13133190	C₂³	1	4	yes	complemented
455	#13133190	C₂³	1	4	yes	complemented
456	#13133189	C₂³	1	4	yes	—
457	#13133189	C₂³	1	4	yes	—
458	#13133189	C₂³	1	4	yes	—
459	#13133189	C₂³	1	4	yes	—
460	#13133189	C₂³	1	4	yes	—
461	#13133189	C₂³	1	4	yes	—
462	#13133189	C₂³	1	4	yes	—
463	#13133189	C₂³	1	4	yes	—
464	#13133189	C₂³	1	4	yes	—
465	#13133189	C₂³	1	4	yes	—
466	#13133189	C₂³	1	4	yes	complemented
467	#13133189	C₂³	1	4	yes	complemented
468	#13133189	C₂³	1	4	yes	complemented
469	#13133189	C₂³	1	4	yes	complemented
470	#13133188	C₂³	1	4	yes	—
471	#13133188	C₂³	1	4	yes	—
472	#13133188	C₂³	1	4	yes	complemented
473	#13133188	C₂³	1	4	yes	complemented
474	#13133188	C₂³	1	2	yes	complemented
475	#13133188	C₂³	1	2	yes	complemented
476	#13133187	C₂³	1	4	yes	—
477	#13133187	C₂³	1	4	yes	—
478	#13133187	C₂³	1	4	yes	—
479	#13133187	C₂³	1	4	yes	—
480	#13133187	C₂³	1	4	yes	complemented
481	#13133186	C₂³	1	4	yes	—
482	#13133186	C₂³	1	4	yes	—
483	#13133186	C₂³	1	4	yes	—
484	#13133186	C₂³	1	4	yes	—
485	#13133186	C₂³	1	4	yes	—
486	#13133186	C₂³	1	4	yes	complemented
487	#13133185	C₂³	1	4	yes	—
488	#13133185	C₂³	1	4	yes	—
489	#13133185	C₂³	1	4	yes	—
490	#13133185	C₂³	1	4	yes	—
491	#13133185	C₂³	1	4	yes	—
492	#13133185	C₂³	1	4	yes	complemented
493	#13133185	C₂³	1	4	yes	complemented
494	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
495	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
496	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
497	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
498	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
499	#13133182	C₂³	1	2	yes	complemented
500	#13133182	C₂³	1	2	yes	complemented
501	#13133182	C₂³	1	4	yes	complemented
502	#13133182	C₂³	1	4	yes	complemented
503	#13133182	C₂³	1	4	yes	complemented
504	C₄×D₂₁₂	C₂³	1	4	yes	complemented
505	C₄×D₂₁₂	C₂³	1	4	yes	complemented
506	C₄×D₂₁₂	C₂³	1	4	yes	complemented
507	D₄×Dic₅₃	C₂³	1	4	yes	—
508	D₄×Dic₅₃	C₂³	1	4	yes	—
509	D₄×Dic₅₃	C₂³	1	4	yes	—
510	D₄×Dic₅₃	C₂³	1	4	yes	—
511	D₄×Dic₅₃	C₂³	1	4	yes	—
512	D₄×Dic₅₃	C₂³	1	4	yes	—
513	D₄×Dic₅₃	C₂³	1	2	yes	complemented
514	D₄×Dic₅₃	C₂³	1	2	yes	complemented
515	D₄×Dic₅₃	C₂³	1	4	yes	complemented
516	D₄×Dic₅₃	C₂³	1	4	yes	complemented
517	#13133179	C₂³	1	2	yes	complemented
518	#13133179	C₂³	1	4	yes	complemented
519	#13133179	C₂³	1	2	yes	complemented
520	#13133179	C₂³	1	4	yes	complemented
521	#13133179	C₂³	1	4	yes	complemented
522	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
523	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
524	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
525	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
526	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
527	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
528	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
529	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
530	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
531	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
532	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
533	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
534	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
535	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
536	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
537	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
538	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
539	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
540	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
541	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
542	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
543	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
544	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
545	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
546	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
547	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
548	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
549	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
550	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
551	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
552	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
553	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
554	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
555	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
556	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
557	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
558	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
559	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
560	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
561	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
562	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
563	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
564	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
565	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
566	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
567	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
568	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
569	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
570	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
571	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
572	#13133177	C₂³	1	4	yes	—
573	#13133177	C₂³	1	4	yes	—
574	#13133177	C₂³	1	4	yes	—
575	#13133177	C₂³	1	4	yes	—
576	#13133177	C₂³	1	4	yes	—
577	#13133177	C₂³	1	4	yes	—
578	#13133177	C₂³	1	4	yes	—
579	#13133177	C₂³	1	4	yes	—
580	#13133177	C₂³	1	4	yes	complemented
581	#13133177	C₂³	1	4	yes	complemented
582	#13133177	C₂³	1	4	yes	complemented
583	#13133177	C₂³	1	4	yes	complemented
584	#13133177	C₂³	1	4	yes	complemented
585	#13133177	C₂³	1	4	yes	complemented
586	#13133176	C₂³	1	2	yes	—
587	#13133176	C₂³	1	2	yes	—
588	#13133176	C₂³	1	4	yes	complemented
589	#13133176	C₂³	1	2	yes	complemented
590	#13133176	C₂³	1	2	yes	complemented
591	#13133176	C₂³	1	4	yes	complemented
592	#13133175	C₂³	1	4	yes	complemented
593	#13133175	C₂³	1	4	yes	complemented
594	#13133175	C₂³	1	2	yes	complemented
595	#13133175	C₂³	1	2	yes	complemented
596	#13133175	C₂³	1	4	yes	complemented
597	#13133174	C₂³	1	4	yes	complemented
598	#13133174	C₂³	1	4	yes	complemented
599	#13133174	C₂³	1	4	yes	complemented
600	#13133174	C₂³	1	4	yes	complemented
601	#13133173	C₂³	1	4	yes	—
602	#13133173	C₂³	1	4	yes	—
603	#13133173	C₂³	1	4	yes	—
604	#13133173	C₂³	1	4	yes	complemented
605	#13133173	C₂³	1	4	yes	complemented
606	#13133173	C₂³	1	4	yes	complemented
607	#13133173	C₂³	1	4	yes	complemented
608	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
609	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
610	C₂×#11719919	C₂³	1	2	yes	—
611	C₂×#11719919	C₂³	1	2	yes	—
612	C₂×#11719919	C₂³	1	2	yes	—
613	C₂×#11719919	C₂³	1	2	yes	—
614	C₂×#11719919	C₂³	1	1	yes	characteristic
615	C₂×#11719919	C₂³	1	1	yes	characteristic
616	C₂×#11719919	C₂³	1	1	yes	characteristic
617	C₂×#11719919	C₂³	1	1	yes	characteristic
618	C₂×#11719919	C₂³	1	4	yes	complemented
619	C₂×#11719919	C₂³	1	2	yes	complemented
620	C₂×#11719919	C₂³	1	2	yes	complemented
621	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
622	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
623	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
624	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
625	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
626	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
627	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
628	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
629	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
630	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
631	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
632	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
633	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
634	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
635	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
636	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
637	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
638	C₂×#11719921	C₂³	1	2	yes	—
639	C₂×#11719921	C₂³	1	2	yes	—
640	C₂×#11719921	C₂³	1	2	yes	—
641	C₂×#11719921	C₂³	1	2	yes	—
642	C₂×#11719921	C₂³	1	1	yes	characteristic
643	C₂×#11719921	C₂³	1	1	yes	characteristic
644	C₂×#11719921	C₂³	1	1	yes	characteristic
645	C₂×#11719921	C₂³	1	1	yes	characteristic
646	C₂×#11719921	C₂³	1	4	yes	complemented
647	C₂×#11719921	C₂³	1	2	yes	complemented
648	C₂×#11719921	C₂³	1	2	yes	complemented
649	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
650	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
651	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
652	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
653	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
654	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
655	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
656	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
657	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
658	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
659	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
660	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
661	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
662	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
663	C₂×C₄×Dic₅₃	C₂³	1	2	yes	—
664	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
665	C₂×C₄×Dic₅₃	C₂³	1	4	yes	complemented
666	C₄²×D₅₃	C₂³	1	4	yes	complemented
667	C₄²×D₅₃	C₂³	1	4	yes	complemented
668	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
669	C₂×#41×C₅₃	—	4	4	no	—
670	C₂×#41×C₅₃	C₂³	1	2	yes	—
671	C₂×#41×C₅₃	C₂³	1	2	yes	—
672	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
673	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
674	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
675	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
676	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
677	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
678	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
679	C₂³×C₄×C₅₃	—	4	4	no	—
680	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
681	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
682	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
683	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
684	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
685	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
686	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
687	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
688	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
689	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
690	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
691	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
692	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
693	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
694	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
695	#123×C₅₃	C₂³	1	4	yes	—
696	#123×C₅₃	C₂³	1	4	yes	—
697	#123×C₅₃	C₂³	1	4	yes	complemented
698	#123×C₅₃	C₂³	1	4	yes	complemented
699	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
700	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
701	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
702	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	—
703	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
704	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
705	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
706	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
707	#121×C₅₃	C₂³	1	2	yes	—
708	#121×C₅₃	C₂³	1	2	yes	—
709	#121×C₅₃	C₂³	1	2	yes	—
710	#121×C₅₃	C₂³	1	2	yes	—
711	#121×C₅₃	C₂³	1	2	yes	complemented
712	#121×C₅₃	C₂³	1	2	yes	complemented
713	#121×C₅₃	C₂³	1	2	yes	complemented
714	#121×C₅₃	C₂³	1	2	yes	complemented
715	#120×C₅₃	C₂³	1	4	yes	—
716	#120×C₅₃	C₂³	1	4	yes	—
717	#120×C₅₃	C₂³	1	4	yes	—
718	#120×C₅₃	C₂³	1	4	yes	—
719	C₄×D₄×C₅₃	C₂³	1	4	yes	—
720	C₄×D₄×C₅₃	C₂³	1	4	yes	—
721	C₄×D₄×C₅₃	C₂³	1	4	yes	—
722	C₄×D₄×C₅₃	C₂³	1	4	yes	—
723	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
724	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
725	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
726	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
727	#117×C₅₃	C₂³	1	2	yes	—
728	#117×C₅₃	C₂³	1	2	yes	—
729	#117×C₅₃	C₂³	1	2	yes	complemented
730	#117×C₅₃	C₂³	1	2	yes	complemented
731	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
732	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
733	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
734	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
735	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
736	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
737	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
738	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
739	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
740	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
741	C₂⁴×C₅₃	—	2	4	no	—
742	C₂⁴×C₅₃	—	4	2	no	—
743	C₂⁴×C₅₃	—	4	2	no	—
744	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
745	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
746	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
747	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
748	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
749	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
750	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
751	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
752	C₂³×D₅₃	—	2	4	no	—
753	C₂³×D₅₃	—	4	2	no	—
754	C₂³×D₅₃	—	4	2	no	—
755	C₂³×D₅₃	C₂⁴	1	2	yes	—
756	C₂³×D₅₃	C₂⁴	1	2	yes	—
757	C₂³×D₅₃	C₂⁴	1	4	yes	—
758	C₂³×D₅₃	C₂⁴	1	2	yes	—
759	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
760	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
761	#41×C₅₃	—	2	8	no	—
762	#41×C₅₃	—	4	4	no	—
763	#41×C₅₃	—	4	4	no	—
764	#41×C₅₃	—	4	4	no	—
765	C₂×Q₈×C₅₃	—	4	2	no	—
766	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
767	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
768	C₂×D₄×C₅₃	—	2	8	no	—
769	C₂×D₄×C₅₃	—	4	2	no	—
770	C₂×D₄×C₅₃	—	4	4	no	—
771	C₂×D₄×C₅₃	—	4	4	no	—
772	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
780	C₂²×C₄×C₅₃	—	2	4	no	—
781	C₂²×C₄×C₅₃	—	2	4	no	—
782	C₂²×C₄×C₅₃	—	2	4	no	—
783	C₂²×C₄×C₅₃	—	4	2	no	—
784	C₂²×C₄×C₅₃	—	4	2	no	—
785	C₂²×C₄×C₅₃	—	4	2	no	—
786	C₂²×C₄×C₅₃	—	4	2	no	—
787	C₂²×C₄×C₅₃	—	4	2	no	—
788	C₂²×C₄×C₅₃	—	4	2	no	—
789	C₂²×C₄×C₅₃	—	4	2	no	—
790	C₂²×C₄×C₅₃	—	4	2	no	—
791	C₂²×C₄×C₅₃	—	4	4	no	—
792	C₂²×C₄×C₅₃	—	4	2	no	—
793	C₂²×C₄×C₅₃	—	4	2	no	—
794	C₂²×C₄×C₅₃	—	4	2	no	—
795	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
796	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
797	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
798	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
799	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
800	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
801	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
802	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
803	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
804	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
805	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
806	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
807	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
808	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
809	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
810	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
811	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
812	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
813	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
814	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
815	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
816	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
817	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
818	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
819	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
820	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
821	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
822	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
823	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
824	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
825	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
826	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
827	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
828	C₂×C₂²⋊D₅₃	—	2	4	no	—
829	C₂×C₂²⋊D₅₃	—	2	8	no	—
830	C₂×C₂²⋊D₅₃	—	2	4	no	—
831	C₂×C₂²⋊D₅₃	—	2	8	no	—
832	C₂×C₂²⋊D₅₃	—	2	8	no	—
833	C₂×C₂²⋊D₅₃	—	2	8	no	—
834	C₂×C₂²⋊D₅₃	—	2	8	no	—
835	C₂×C₂²⋊D₅₃	—	2	16	no	—
836	C₂×C₂²⋊D₅₃	—	2	4	no	—
837	C₂×C₂²⋊D₅₃	—	4	4	no	—
838	C₂×C₂²⋊D₅₃	—	4	4	no	—
839	C₂×C₂²⋊D₅₃	#41	1	8	yes	complemented
840	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
841	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
842	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
843	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
844	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
845	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
846	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
847	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
848	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
849	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
850	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
851	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
852	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
853	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
854	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
855	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
856	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
857	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
858	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
859	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
860	C₂²×Dic₅₃	—	2	4	no	—
861	C₂²×Dic₅₃	—	4	2	no	—
862	C₂²×Dic₅₃	—	4	2	no	—
863	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
864	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
865	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
866	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
867	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
868	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
869	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
870	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
871	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
872	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
873	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
874	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
875	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
876	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
877	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
878	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
879	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
880	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
881	#11719949	—	4	4	no	—
882	Q₈×D₅₃	—	4	4	no	—
883	#11719947	—	2	16	no	—
884	#11719947	—	2	16	no	—
885	#11719947	—	4	4	no	—
886	#11719947	—	4	8	no	—
887	#11719947	—	4	8	no	—
888	D₄×D₅₃	—	2	16	no	—
889	D₄×D₅₃	—	2	16	no	—
890	D₄×D₅₃	—	4	4	no	—
891	D₄×D₅₃	—	4	8	no	—
892	D₄×D₅₃	—	4	8	no	—
893	#11719945	—	2	8	no	—
894	#11719945	—	2	16	no	—
895	#11719945	—	4	4	no	—
896	#11719945	—	4	8	no	—
897	#11719945	—	4	4	no	—
898	#11719945	—	4	4	no	—
899	C₂×D₂₁₂	—	4	2	no	—
900	C₂×D₂₁₂	C₂⁴	1	4	yes	—
901	C₂×D₂₁₂	C₂⁴	1	2	yes	—
902	C₂×D₂₁₂	C₂⁴	1	4	yes	—
903	C₂×D₂₁₂	C₂⁴	1	4	yes	—
904	C₂×D₂₁₂	C₂⁴	1	2	yes	—
905	C₂×C₄×D₅₃	—	2	8	no	—
906	C₂×C₄×D₅₃	—	4	2	no	—
907	C₂×C₄×D₅₃	—	4	4	no	—
908	C₂×C₄×D₅₃	—	4	2	no	—
909	C₂×C₄×D₅₃	—	4	2	no	—
910	C₂×C₄×D₅₃	—	4	4	no	—
911	C₂×C₄×D₅₃	—	4	2	no	—
912	C₂×C₄×D₅₃	—	4	8	no	—
913	C₂×C₄×D₅₃	—	4	4	no	—
914	C₂×C₄×D₅₃	—	4	4	no	—
915	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
916	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
917	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
918	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
919	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
920	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
921	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
922	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
923	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
924	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
925	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
926	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
927	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
928	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
929	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
930	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
931	C₂×Dic₁₀₆	—	4	2	no	—
932	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
933	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
934	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
935	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
936	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
937	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
938	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
939	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
940	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
941	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
942	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
943	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
944	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
945	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
946	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
947	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
948	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
949	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
950	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
951	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
952	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
953	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
954	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
955	C₄²×C₅₃	C₂⁴	1	4	yes	—
956	C₄²×C₅₃	C₂⁴	1	4	yes	—
957	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
958	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
959	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
960	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
961	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
962	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
963	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
964	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
965	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
966	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
967	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
968	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
969	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
970	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
971	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
972	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
973	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
974	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
975	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
976	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
977	#11719921	C₂⁴	1	4	yes	—
978	#11719921	C₂⁴	1	4	yes	—
979	#11719921	C₂⁴	1	4	yes	—
980	#11719921	C₂⁴	1	4	yes	—
981	#11719921	C₂⁴	1	4	yes	—
982	#11719921	C₂⁴	1	4	yes	—
983	#11719921	C₂⁴	1	2	yes	—
984	#11719921	C₂⁴	1	4	yes	—
985	#11719921	C₂⁴	1	4	yes	—
986	#11719921	C₂⁴	1	4	yes	—
987	#11719921	C₂⁴	1	4	yes	—
988	#11719921	C₂⁴	1	4	yes	—
989	#11719921	C₂⁴	1	2	yes	—
990	#11719921	C₂⁴	1	2	yes	—
991	#11719921	C₂⁴	1	2	yes	—
992	#11719921	C₂⁴	1	2	yes	—
993	#11719921	C₂⁴	1	2	yes	—
994	#11719921	C₂⁴	1	2	yes	—
995	#11719921	C₂⁴	1	2	yes	—
996	#11719921	C₂⁴	1	4	yes	—
997	#11719921	C₂⁴	1	4	yes	—
998	#11719921	C₂⁴	1	4	yes	—
999	#11719921	C₂⁴	1	4	yes	—
1000	#11719921	C₂⁴	1	4	yes	—
1001	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1002	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1003	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1004	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1005	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1006	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1007	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1008	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1009	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1010	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1011	#11719919	C₂⁴	1	2	yes	—
1012	#11719919	C₂⁴	1	4	yes	—
1013	#11719919	C₂⁴	1	4	yes	—
1014	#11719919	C₂⁴	1	4	yes	—
1015	#11719919	C₂⁴	1	4	yes	—
1016	#11719919	C₂⁴	1	4	yes	—
1017	#11719919	C₂⁴	1	4	yes	—
1018	#11719919	C₂⁴	1	4	yes	—
1019	#11719919	C₂⁴	1	2	yes	—
1020	#11719919	C₂⁴	1	2	yes	—
1021	#11719919	C₂⁴	1	2	yes	—
1022	#11719919	C₂⁴	1	2	yes	—
1023	#11719919	C₂⁴	1	2	yes	—
1024	#11719919	C₂⁴	1	2	yes	—
1025	#11719919	C₂⁴	1	2	yes	—
1026	#11719919	C₂⁴	1	4	yes	—
1027	#11719919	C₂⁴	1	4	yes	—
1028	#11719919	C₂⁴	1	4	yes	—
1029	#11719919	C₂⁴	1	4	yes	—
1030	#11719919	C₂⁴	1	4	yes	—
1031	#11719919	C₂⁴	1	4	yes	—
1032	#11719919	C₂⁴	1	4	yes	—
1033	#11719919	C₂⁴	1	4	yes	—
1034	#11719919	C₂⁴	1	4	yes	—
1035	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1036	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1037	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1038	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1039	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1040	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1041	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1042	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1043	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1044	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1045	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1046	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1047	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1048	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1049	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1050	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1051	C₂³×C₅₃	—	2	2	no	—
1052	C₂³×C₅₃	—	2	2	no	—
1053	C₂³×C₅₃	—	2	2	no	—
1054	C₂³×C₅₃	—	2	2	no	—
1055	C₂³×C₅₃	—	2	2	no	—
1056	C₂³×C₅₃	—	2	2	no	—
1057	C₂³×C₅₃	—	2	2	no	—
1058	C₂³×C₅₃	—	2	2	no	—
1059	C₂³×C₅₃	—	2	2	no	—
1060	C₂³×C₅₃	—	2	2	no	—
1061	C₂³×C₅₃	—	2	2	no	—
1062	C₂³×C₅₃	—	2	2	no	—
1063	C₂³×C₅₃	—	2	4	no	—
1064	C₂³×C₅₃	—	4	1	no	—
1065	C₂³×C₅₃	—	4	1	no	—
1066	C₂³×C₅₃	—	4	1	no	—
1067	C₂³×C₅₃	—	4	1	no	—
1068	C₂³×C₅₃	—	4	1	no	—
1069	C₂³×C₅₃	—	4	1	no	—
1070	C₂³×C₅₃	—	4	1	no	—
1071	C₂³×C₅₃	—	4	1	no	—
1072	C₂³×C₅₃	—	4	2	no	—
1073	C₂³×C₅₃	—	4	2	no	—
1074	C₂³×C₅₃	—	4	16	no	—
1075	C₂³×C₅₃	C₂×#41	1	4	yes	complemented
1076	C₂³×C₅₃	C₂⁵	1	4	yes	—
1077	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1078	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1079	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1080	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1081	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1082	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1083	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1084	C₂²×D₅₃	—	2	2	no	—
1085	C₂²×D₅₃	—	2	4	no	—
1086	C₂²×D₅₃	—	2	4	no	—
1087	C₂²×D₅₃	—	2	4	no	—
1088	C₂²×D₅₃	—	2	4	no	—
1089	C₂²×D₅₃	—	2	4	no	—
1090	C₂²×D₅₃	—	2	8	no	—
1091	C₂²×D₅₃	—	4	1	no	—
1092	C₂²×D₅₃	—	4	2	no	—
1093	C₂²×D₅₃	—	4	1	no	—
1094	C₂²×D₅₃	—	4	1	no	—
1095	C₂²×D₅₃	—	4	2	no	—
1096	C₂²×D₅₃	—	4	1	no	—
1097	C₂²×D₅₃	—	4	2	no	—
1098	C₂²×D₅₃	—	4	4	no	—
1099	C₂²×D₅₃	—	4	4	no	—
1100	C₂²×D₅₃	—	4	2	no	—
1101	C₂²×D₅₃	—	4	16	no	—
1102	C₂²×D₅₃	C₂×#41	1	4	yes	complemented
1103	C₂²×D₅₃	C₂⁵	1	4	yes	—
1104	C₂²×D₅₃	C₂⁵	1	2	yes	—
1105	C₂²×D₅₃	C₂⁵	1	2	yes	—
1106	Q₈×C₅₃	—	2	4	no	—
1107	Q₈×C₅₃	—	4	2	no	—
1108	D₄×C₅₃	—	2	8	no	—
1109	D₄×C₅₃	—	2	8	no	—
1110	D₄×C₅₃	—	2	8	no	—
1111	D₄×C₅₃	—	2	8	no	—
1112	D₄×C₅₃	—	2	4	no	—
1113	D₄×C₅₃	—	4	4	no	—
1114	D₄×C₅₃	—	4	4	no	—
1115	D₄×C₅₃	—	4	2	no	—
1116	C₂×C₄×C₅₃	—	2	4	no	—
1117	C₂×C₄×C₅₃	—	2	2	no	—
1118	C₂×C₄×C₅₃	—	2	2	no	—
1119	C₂×C₄×C₅₃	—	2	2	no	—
1120	C₂×C₄×C₅₃	—	2	2	no	—
1121	C₂×C₄×C₅₃	—	2	2	no	—
1122	C₂×C₄×C₅₃	—	2	2	no	—
1123	C₂×C₄×C₅₃	—	2	2	no	—
1124	C₂×C₄×C₅₃	—	2	2	no	—
1125	C₂×C₄×C₅₃	—	2	2	no	—
1126	C₂×C₄×C₅₃	—	2	8	no	—
1127	C₂×C₄×C₅₃	—	2	2	no	—
1128	C₂×C₄×C₅₃	—	2	2	no	—
1129	C₂×C₄×C₅₃	—	2	2	no	—
1130	C₂×C₄×C₅₃	—	2	2	no	—
1131	C₂×C₄×C₅₃	—	2	2	no	—
1132	C₂×C₄×C₅₃	—	2	2	no	—
1133	C₂×C₄×C₅₃	—	4	1	no	—
1134	C₂×C₄×C₅₃	—	4	1	no	—
1135	C₂×C₄×C₅₃	—	4	1	no	—
1136	C₂×C₄×C₅₃	—	4	1	no	—
1137	C₂×C₄×C₅₃	—	4	1	no	—
1138	C₂×C₄×C₅₃	—	4	1	no	—
1139	C₂×C₄×C₅₃	—	4	1	no	—
1140	C₂×C₄×C₅₃	—	4	1	no	—
1141	C₂×C₄×C₅₃	—	4	1	no	—
1142	C₂×C₄×C₅₃	—	4	1	no	—
1143	C₂×C₄×C₅₃	—	4	1	no	—
1144	C₂×C₄×C₅₃	—	4	1	no	—
1145	C₂×C₄×C₅₃	—	4	2	no	—
1146	C₂×C₄×C₅₃	—	4	4	no	—
1147	C₂×C₄×C₅₃	—	4	2	no	—
1148	C₂×C₄×C₅₃	H(5,𝔽₂)	1	4	yes	complemented
1149	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1150	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1151	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1152	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1153	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1154	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1155	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1156	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1157	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1158	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1159	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1160	C₂²⋊D₅₃	—	2	8	no	—
1161	C₂²⋊D₅₃	—	2	8	no	—
1162	C₂²⋊D₅₃	—	2	4	no	—
1163	C₂²⋊D₅₃	—	2	4	no	—
1164	C₂²⋊D₅₃	—	2	8	no	—
1165	C₂²⋊D₅₃	—	2	8	no	—
1166	C₂²⋊D₅₃	—	2	8	no	—
1167	C₂²⋊D₅₃	—	2	4	no	—
1168	C₂²⋊D₅₃	—	2	4	no	—
1169	C₂²⋊D₅₃	—	2	8	no	—
1170	C₂²⋊D₅₃	—	2	4	no	—
1171	C₂²⋊D₅₃	—	2	4	no	—
1172	C₂²⋊D₅₃	—	4	4	no	—
1173	C₂²⋊D₅₃	—	4	4	no	—
1174	C₂²⋊D₅₃	—	4	4	no	—
1175	C₂²⋊D₅₃	—	4	4	no	—
1176	C₂²⋊D₅₃	—	4	4	no	—
1177	C₂²⋊D₅₃	—	4	4	no	—
1178	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1179	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1180	C₂×Dic₅₃	—	2	4	no	—
1181	C₂×Dic₅₃	—	2	2	no	—
1182	C₂×Dic₅₃	—	2	4	no	—
1183	C₂×Dic₅₃	—	2	4	no	—
1184	C₂×Dic₅₃	—	2	8	no	—
1185	C₂×Dic₅₃	—	2	4	no	—
1186	C₂×Dic₅₃	—	2	4	no	—
1187	C₂×Dic₅₃	—	4	2	no	—
1188	C₂×Dic₅₃	—	4	1	no	—
1189	C₂×Dic₅₃	—	4	2	no	—
1190	C₂×Dic₅₃	—	4	1	no	—
1191	C₂×Dic₅₃	—	4	4	no	—
1192	C₂×Dic₅₃	—	4	4	no	—
1193	C₂×Dic₅₃	—	4	1	no	—
1194	C₂×Dic₅₃	—	4	2	no	—
1195	C₂×Dic₅₃	—	4	1	no	—
1196	C₂×Dic₅₃	—	4	2	no	—
1197	C₂×Dic₅₃	C₂×#41	1	4	yes	complemented
1198	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1199	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1200	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1201	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1202	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1203	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1204	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1205	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1206	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1207	D₂₁₂	—	2	8	no	—
1208	D₂₁₂	—	2	4	no	—
1209	D₂₁₂	—	4	2	no	—
1210	D₂₁₂	—	4	4	no	—
1211	D₂₁₂	—	4	4	no	—
1212	C₄×D₅₃	—	2	8	no	—
1213	C₄×D₅₃	—	2	4	no	—
1214	C₄×D₅₃	—	2	4	no	—
1215	C₄×D₅₃	—	2	4	no	—
1216	C₄×D₅₃	—	2	4	no	—
1217	C₄×D₅₃	—	2	8	no	—
1218	C₄×D₅₃	—	2	8	no	—
1219	C₄×D₅₃	—	4	2	no	—
1220	C₄×D₅₃	—	4	2	no	—
1221	C₄×D₅₃	—	4	2	no	—
1222	C₄×D₅₃	—	4	2	no	—
1223	C₄×D₅₃	—	4	4	no	—
1224	C₄×D₅₃	—	4	4	no	—
1225	C₄×D₅₃	—	4	4	no	—
1226	C₄×D₅₃	—	4	4	no	—
1227	C₄×D₅₃	—	4	4	no	—
1228	Dic₁₀₆	—	2	4	no	—
1229	Dic₁₀₆	—	2	8	no	—
1230	Dic₁₀₆	—	4	2	no	—
1231	Dic₁₀₆	—	4	4	no	—
1232	Dic₁₀₆	—	4	4	no	—
1233	#62773	—	53	1	no	maximal, Sylow
1234	C₂²×C₅₃	—	2	8	no	—
1235	C₂²×C₅₃	—	2	1	no	—
1236	C₂²×C₅₃	—	2	1	no	—
1237	C₂²×C₅₃	—	2	1	no	—
1238	C₂²×C₅₃	—	2	1	no	—
1239	C₂²×C₅₃	—	2	1	no	—
1240	C₂²×C₅₃	—	2	1	no	—
1241	C₂²×C₅₃	—	2	1	no	—
1242	C₂²×C₅₃	—	2	1	no	—
1243	C₂²×C₅₃	—	2	1	no	—
1244	C₂²×C₅₃	—	2	1	no	—
1245	C₂²×C₅₃	—	2	4	no	—
1246	C₂²×C₅₃	—	2	1	no	—
1247	C₂²×C₅₃	—	2	1	no	—
1248	C₂²×C₅₃	—	2	4	no	—
1249	C₂²×C₅₃	—	2	1	no	—
1250	C₂²×C₅₃	—	2	1	no	—
1251	C₂²×C₅₃	—	2	4	no	—
1252	C₂²×C₅₃	—	2	1	no	—
1253	C₂²×C₅₃	—	2	1	no	—
1254	C₂²×C₅₃	—	4	4	no	—
1255	C₂²×C₅₃	—	4	4	no	—
1256	C₂²×C₅₃	—	4	4	no	—
1257	C₂²×C₅₃	—	4	4	no	—
1258	C₂²×C₅₃	—	4	4	no	—
1259	C₂²×C₅₃	—	4	4	no	—
1260	C₂²×C₅₃	—	8	4	no	—
1261	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1262	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1263	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1264	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1265	C₂²×C₅₃	#585	1	2	yes	—
1266	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1267	C₂×D₅₃	—	2	2	no	—
1268	C₂×D₅₃	—	2	2	no	—
1269	C₂×D₅₃	—	2	4	no	—
1270	C₂×D₅₃	—	2	2	no	—
1271	C₂×D₅₃	—	2	2	no	—
1272	C₂×D₅₃	—	2	4	no	—
1273	C₂×D₅₃	—	2	4	no	—
1274	C₂×D₅₃	—	2	2	no	—
1275	C₂×D₅₃	—	4	4	no	—
1276	C₂×D₅₃	—	4	8	no	—
1277	C₂×D₅₃	—	4	8	no	—
1278	C₂×D₅₃	—	4	4	no	—
1279	C₂×D₅₃	—	8	8	no	—
1280	C₂×D₅₃	—	8	4	no	—
1281	C₂×D₅₃	C₂²×#41	1	4	yes	—
1282	C₄×C₅₃	—	2	4	no	—
1283	C₄×C₅₃	—	2	1	no	—
1284	C₄×C₅₃	—	2	4	no	—
1285	C₄×C₅₃	—	2	1	no	—
1286	C₄×C₅₃	—	2	1	no	—
1287	C₄×C₅₃	—	2	1	no	—
1288	C₄×C₅₃	—	2	1	no	—
1289	C₄×C₅₃	—	2	1	no	—
1290	C₄×C₅₃	—	2	4	no	—
1291	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1292	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1293	Dic₅₃	—	2	4	no	—
1294	Dic₅₃	—	2	2	no	—
1295	Dic₅₃	—	2	4	no	—
1296	Dic₅₃	—	2	2	no	—
1297	Dic₅₃	—	2	2	no	—
1298	Dic₅₃	—	2	2	no	—
1299	Dic₅₃	—	2	4	no	—
1300	Dic₅₃	—	2	2	no	—
1301	Dic₅₃	C₂²×#41	1	4	yes	—
1302	#3520	—	53	2	no	—
1303	#3520	—	53	2	no	—
1304	#3519	—	53	2	no	—
1305	#3519	—	53	2	no	—
1306	#3513	—	53	4	no	—
1307	#3513	—	53	4	no	—
1308	#3506	—	53	2	no	—
1309	#3505	—	53	2	no	—
1310	#3505	—	53	1	no	—
1311	#3505	—	53	1	no	—
1312	#3501	—	53	1	no	—
1313	#3496	—	53	1	no	—
1314	#3492	—	53	2	no	—
1315	#3490	—	53	2	no	—
1316	#3490	—	53	2	no	—
1317	#3484	—	53	2	no	—
1318	#3481	—	53	4	no	—
1319	#3481	—	53	4	no	—
1320	#3475	—	53	2	no	—
1321	#3475	—	53	2	no	—
1322	D₄×#41	—	53	2	no	—
1323	D₄×#41	—	53	2	no	—
1324	#3460	—	53	2	no	—
1325	#3459	—	53	2	no	—
1326	#3459	—	53	2	no	—
1327	#3444	—	53	2	no	—
1328	C₂×#525	—	53	1	no	—
1329	C₂×#525	—	53	2	no	—
1330	C₂×#525	D₅₃	1	1	yes	characteristic, complemented
1331	C₄×H(5,𝔽₂)	—	53	2	no	—
1332	C₂²×C₄×D₄	—	53	1	no	—
1333	C₂×C₅₃	—	2	2	no	—
1334	C₂×C₅₃	—	2	2	no	—
1335	C₂×C₅₃	—	2	2	no	—
1336	C₂×C₅₃	—	2	2	no	—
1337	C₂×C₅₃	—	2	2	no	—
1338	C₂×C₅₃	—	4	4	no	—
1339	C₂×C₅₃	—	4	1	no	—
1340	C₂×C₅₃	—	4	1	no	—
1341	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1342	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1343	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1344	D₅₃	—	2	4	no	—
1345	D₅₃	—	4	2	no	—
1346	D₅₃	—	4	4	no	—
1347	C₂×H(5,𝔽₂)	—	53	2	no	—
1348	C₂²×#41	—	53	2	no	—
1349	C₂²×#41	—	53	1	no	—
1350	C₂²×#41	C₂×D₅₃	1	1	yes	characteristic, complemented
1351	C₂³×D₄	—	53	1	no	—
1352	C₂⁴×C₄	—	53	1	no	—
1353	C₂⁴×C₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1354	#559	—	53	4	no	—
1355	#559	—	53	4	no	—
1356	#556	—	53	2	no	—
1357	#556	—	53	2	no	—
1358	#555	—	53	2	no	—
1359	#555	—	53	2	no	—
1360	#554	—	53	4	no	—
1361	#554	—	53	4	no	—
1362	#554	—	53	2	no	—
1363	#554	—	53	4	no	—
1364	#554	—	53	2	no	—
1365	#554	—	53	4	no	—
1366	#553	—	53	4	no	—
1367	#553	—	53	4	no	—
1368	#553	—	53	4	no	—
1369	#553	—	53	4	no	—
1370	#553	—	53	2	no	—
1371	#553	—	53	2	no	—
1372	#553	—	53	4	no	—
1373	#553	—	53	4	no	—
1374	#553	—	53	4	no	—
1375	#553	—	53	2	no	—
1376	#553	—	53	2	no	—
1377	#553	—	53	4	no	—
1378	#552	—	53	4	no	—
1379	#552	—	53	2	no	—
1380	#552	—	53	2	no	—
1381	#552	—	53	4	no	—
1382	#552	—	53	2	no	—
1383	#552	—	53	2	no	—
1384	#551	—	53	4	no	—
1385	#551	—	53	4	no	—
1386	#551	—	53	4	no	—
1387	#551	—	53	4	no	—
1388	#551	—	53	4	no	—
1389	#551	—	53	4	no	—
1390	#551	—	53	4	no	—
1391	#551	—	53	4	no	—
1392	#551	—	53	4	no	—
1393	#551	—	53	4	no	—
1394	#551	—	53	4	no	—
1395	#551	—	53	4	no	—
1396	#550	—	53	2	no	—
1397	#550	—	53	2	no	—
1398	D₄×Q₈	—	53	2	no	—
1399	D₄×Q₈	—	53	2	no	—
1400	#548	—	53	2	no	—
1401	#548	—	53	2	no	—
1402	#548	—	53	2	no	—
1403	#548	—	53	2	no	—
1404	#547	—	53	4	no	—
1405	#547	—	53	2	no	—
1406	#547	—	53	4	no	—
1407	#547	—	53	2	no	—
1408	#547	—	53	2	no	—
1409	#547	—	53	2	no	—
1410	#546	—	53	4	no	—
1411	#546	—	53	2	no	—
1412	#546	—	53	4	no	—
1413	#546	—	53	4	no	—
1414	#546	—	53	2	no	—
1415	#546	—	53	4	no	—
1416	#546	—	53	2	no	—
1417	#546	—	53	4	no	—
1418	#546	—	53	2	no	—
1419	#546	—	53	4	no	—
1420	#546	—	53	4	no	—
1421	#546	—	53	4	no	—
1422	#546	—	53	4	no	—
1423	#546	—	53	4	no	—
1424	#546	—	53	4	no	—
1425	#546	—	53	4	no	—
1426	#546	—	53	4	no	—
1427	#546	—	53	4	no	—
1428	D₄²	—	53	4	no	—
1429	D₄²	—	53	4	no	—
1430	D₄²	—	53	2	no	—
1431	D₄²	—	53	2	no	—
1432	D₄²	—	53	4	no	—
1433	D₄²	—	53	4	no	—
1434	#544	—	53	2	no	—
1435	#543	—	53	2	no	—
1436	#543	—	53	2	no	—
1437	#542	—	53	4	no	—
1438	#542	—	53	4	no	—
1439	#540	—	53	4	no	—
1440	#540	—	53	4	no	—
1441	#539	—	53	4	no	—
1442	#539	—	53	2	no	—
1443	#539	—	53	4	no	—
1444	#539	—	53	2	no	—
1445	#539	—	53	4	no	—
1446	#539	—	53	4	no	—
1447	#539	—	53	4	no	—
1448	#538	—	53	4	no	—
1449	#538	—	53	2	no	—
1450	#538	—	53	2	no	—
1451	#538	—	53	4	no	—
1452	#538	—	53	4	no	—
1453	#538	—	53	4	no	—
1454	#538	—	53	4	no	—
1455	#538	—	53	4	no	—
1456	#538	—	53	4	no	—
1457	#537	—	53	2	no	—
1458	#535	—	53	4	no	—
1459	#534	—	53	2	no	—
1460	#534	—	53	2	no	—
1461	#534	—	53	2	no	—
1462	#534	—	53	4	no	—
1463	#534	—	53	2	no	—
1464	#533	—	53	2	no	—
1465	#533	—	53	2	no	—
1466	#533	—	53	2	no	—
1467	#532	—	53	2	no	—
1468	#532	—	53	4	no	—
1469	#532	—	53	2	no	—
1470	#532	—	53	2	no	—
1471	#532	—	53	4	no	—
1472	#529	—	53	4	no	—
1473	#529	—	53	4	no	—
1474	#529	—	53	2	no	—
1475	#529	—	53	2	no	—
1476	#529	—	53	2	no	—
1477	#529	—	53	2	no	—
1478	#529	—	53	4	no	—
1479	#529	—	53	4	no	—
1480	#529	—	53	4	no	—
1481	#529	—	53	4	no	—
1482	#529	—	53	4	no	—
1483	#529	—	53	4	no	—
1484	#529	—	53	4	no	—
1485	#529	—	53	4	no	—
1486	#525	—	53	2	no	—
1487	#525	—	53	4	no	—
1488	#525	—	53	2	no	—
1489	#525	—	53	2	no	—
1490	#525	—	53	2	no	—
1491	#525	—	53	2	no	—
1492	#525	—	53	2	no	—
1493	#525	—	53	2	no	—
1494	#525	—	53	2	no	—
1495	#525	—	53	2	no	—
1496	#525	—	53	4	no	—
1497	#525	—	53	4	no	—
1498	#525	—	53	2	no	—
1499	#525	—	53	2	no	—
1500	#525	—	53	2	no	—
1501	#525	—	53	2	no	—
1502	#525	—	53	4	no	—
1503	#525	—	53	4	no	—
1504	#525	—	53	4	no	—
1505	#525	—	53	4	no	—
1506	#525	—	53	4	no	—
1507	#525	—	53	4	no	—
1508	#525	—	53	4	no	—
1509	#525	—	53	2	no	—
1510	#525	C₂×D₅₃	1	2	yes	complemented
1511	#525	C₂×D₅₃	1	2	yes	complemented
1512	#525	C₂×D₅₃	1	2	yes	complemented
1513	#525	C₂×D₅₃	1	2	yes	complemented
1514	#525	C₂×D₅₃	1	2	yes	complemented
1515	#525	C₂×D₅₃	1	2	yes	complemented
1516	#525	C₂×D₅₃	1	2	yes	complemented
1517	#525	C₂×D₅₃	1	2	yes	complemented
1518	C₂×#123	—	53	2	no	—
1519	C₂×#123	—	53	4	no	—
1520	C₂×#123	C₂×D₅₃	1	2	yes	complemented
1521	C₂×C₂²⋊Q₈	—	53	1	no	—
1522	C₂×C₂²⋊Q₈	—	53	1	no	—
1523	C₂×C₂²⋊Q₈	—	53	2	no	—
1524	C₂×C₂²⋊Q₈	—	53	2	no	—
1525	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1526	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1527	C₂×#121	—	53	1	no	—
1528	C₂×#121	—	53	1	no	—
1529	C₂×#121	—	53	2	no	—
1530	C₂×#121	—	53	2	no	—
1531	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1532	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1533	C₂×#120	—	53	2	no	—
1534	C₂×#120	—	53	4	no	—
1535	C₂×#120	C₂×D₅₃	1	2	yes	complemented
1536	#520	—	53	4	no	—
1537	#520	—	53	4	no	—
1538	#520	—	53	4	no	—
1539	#518	—	53	2	no	—
1540	#518	—	53	4	no	—
1541	#518	—	53	4	no	—
1542	#518	—	53	2	no	—
1543	#518	—	53	2	no	—
1544	#518	—	53	4	no	—
1545	C₄×#41	—	53	2	no	—
1546	C₄×#41	—	53	4	no	—
1547	C₄×#41	—	53	4	no	—
1548	C₄×#41	—	53	4	no	—
1549	C₄×#41	—	53	2	no	—
1550	C₄×#41	—	53	4	no	—
1551	C₂×C₄×D₄	—	53	1	no	—
1552	C₂×C₄×D₄	—	53	1	no	—
1553	C₂×C₄×D₄	—	53	1	no	—
1554	C₂×C₄×D₄	—	53	1	no	—
1555	C₂×C₄×D₄	—	53	1	no	—
1556	C₂×C₄×D₄	—	53	2	no	—
1557	C₂×C₄×D₄	—	53	2	no	—
1558	C₂×C₄×D₄	—	53	2	no	—
1559	C₂×C₄×D₄	—	53	2	no	—
1560	C₂×C₄×D₄	—	53	1	no	—
1561	C₂×C₄×D₄	—	53	1	no	—
1562	C₂×C₄×D₄	—	53	1	no	—
1563	C₂×C₄×D₄	—	53	2	no	—
1564	C₂×C₄×D₄	—	53	2	no	—
1565	C₂×C₄×D₄	—	53	2	no	—
1566	C₂×C₄×D₄	—	53	2	no	—
1567	C₂×C₄×D₄	—	53	2	no	—
1568	C₂×C₄×D₄	—	53	2	no	—
1569	C₂×C₄×D₄	—	53	4	no	—
1570	C₂×C₄×D₄	—	53	4	no	—
1571	C₂×C₄×D₄	—	53	4	no	—
1572	C₂×C₄×D₄	—	53	4	no	—
1573	C₂×C₄×D₄	C₂×D₅₃	1	2	yes	complemented
1574	C₂×C₄×D₄	C₂×D₅₃	1	2	yes	complemented
1575	C₂×#117	—	53	1	no	—
1576	C₂×#117	—	53	2	no	—
1577	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1578	C₂²×C₄⋊C₄	—	53	1	no	—
1579	C₂²×C₂²⋊C₄	—	53	1	no	—
1580	C₂²×C₂²⋊C₄	—	53	1	no	—
1581	C₂²×C₄²	—	53	1	no	—
1582	C₅₃	#62773	1	1	yes	characteristic, complemented, Sylow
1583	C₂⁵	—	53	1	no	—
1584	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
1585	H(5,𝔽₂)	—	106	16	no	—
1586	C₂×#41	—	4	4	no	—
1587	C₂×#41	—	53	2	no	—
1588	C₂×#41	—	53	4	no	—
1589	C₂×#41	—	53	4	no	—
1590	C₂×#41	—	53	4	no	—
1591	C₂×#41	—	53	4	no	—
1592	C₂×#41	—	53	2	no	—
1593	C₂×#41	—	53	4	no	—
1594	C₂×#41	—	53	2	no	—
1595	C₂×#41	—	53	2	no	—
1596	C₂×#41	—	53	4	no	—
1597	C₂×#41	—	53	2	no	—
1598	C₂×#41	—	53	2	no	—
1599	C₂×#41	—	212	4	no	—
1600	C₂×#41	—	212	8	no	—
1601	C₂×#41	C₂²×D₅₃	1	2	yes	—
1602	C₂×#41	C₂²×D₅₃	1	2	yes	—
1603	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1604	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1605	C₂²×Q₈	—	53	2	no	—
1606	C₂²×Q₈	—	53	1	no	—
1607	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1608	C₂²×D₄	—	53	1	no	—
1609	C₂²×D₄	—	53	1	no	—
1610	C₂²×D₄	—	53	1	no	—
1611	C₂²×D₄	—	53	1	no	—
1612	C₂²×D₄	—	53	2	no	—
1613	C₂²×D₄	—	53	2	no	—
1614	C₂²×D₄	—	53	2	no	—
1615	C₂²×D₄	—	53	2	no	—
1616	C₂²×D₄	—	53	2	no	—
1617	C₂²×D₄	—	53	4	no	—
1618	C₂²×D₄	—	53	2	no	—
1619	C₂²×D₄	—	53	2	no	—
1620	C₂²×D₄	—	53	4	no	—
1621	C₂²×D₄	—	53	4	no	—
1622	C₂²×D₄	—	53	4	no	—
1623	C₂²×D₄	—	53	4	no	—
1624	C₂²×D₄	—	53	2	no	—
1625	C₂²×D₄	—	53	1	no	—
1626	C₂²×D₄	—	106	8	no	—
1627	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1628	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1629	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1630	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1631	C₂³×C₄	—	4	4	no	—
1632	C₂³×C₄	—	53	1	no	—
1633	C₂³×C₄	—	53	1	no	—
1634	C₂³×C₄	—	53	1	no	—
1635	C₂³×C₄	—	53	2	no	—
1636	C₂³×C₄	—	53	1	no	—
1637	C₂³×C₄	—	53	2	no	—
1638	C₂³×C₄	—	53	2	no	—
1639	C₂³×C₄	—	53	4	no	—
1640	C₂³×C₄	—	53	1	no	—
1641	C₂³×C₄	—	53	2	no	—
1642	C₂³×C₄	—	53	2	no	—
1643	C₂³×C₄	—	53	1	no	—
1644	C₂³×C₄	—	53	1	no	—
1645	C₂³×C₄	—	212	4	no	—
1646	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1647	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1648	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1649	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1650	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1651	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1652	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1653	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1654	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1655	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1656	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1657	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1658	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1659	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1660	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
1661	C₄⋊Q₈	—	53	2	no	—
1662	C₄⋊Q₈	—	53	4	no	—
1663	C₄⋊Q₈	—	53	2	no	—
1664	C₄⋊Q₈	—	53	2	no	—
1665	C₄⋊Q₈	—	53	4	no	—
1666	#127	—	53	2	no	—
1667	#127	—	53	4	no	—
1668	#127	—	53	4	no	—
1669	#126	—	53	4	no	—
1670	#126	—	53	4	no	—
1671	#126	—	53	4	no	—
1672	#126	—	53	4	no	—
1673	#126	—	53	4	no	—
1674	#126	—	53	4	no	—
1675	#126	—	53	4	no	—
1676	#126	—	53	4	no	—
1677	#126	—	53	4	no	—
1678	#126	—	53	4	no	—
1679	#126	—	53	4	no	—
1680	#126	—	53	4	no	—
1681	#126	—	53	4	no	—
1682	#126	—	53	4	no	—
1683	#126	—	53	4	no	—
1684	#126	—	53	4	no	—
1685	#125	—	53	4	no	—
1686	#125	—	53	2	no	—
1687	#125	—	53	2	no	—
1688	#125	—	53	4	no	—
1689	#125	—	53	4	no	—
1690	#125	—	53	4	no	—
1691	#125	—	53	4	no	—
1692	#125	—	53	4	no	—
1693	#125	—	53	4	no	—
1694	#125	—	53	4	no	—
1695	#124	—	53	2	no	—
1696	#124	—	53	4	no	—
1697	#124	—	53	2	no	—
1698	#124	—	53	4	no	—
1699	#124	—	53	4	no	—
1700	#124	—	53	4	no	—
1701	#124	—	53	4	no	—
1702	#124	—	53	4	no	—
1703	#124	—	53	4	no	—
1704	#124	—	53	4	no	—
1705	#124	—	53	4	no	—
1706	#124	—	53	4	no	—
1707	#124	—	53	4	no	—
1708	#124	—	53	4	no	—
1709	#123	—	53	4	no	—
1710	#123	—	53	4	no	—
1711	#123	—	53	4	no	—
1712	#123	—	53	4	no	—
1713	#123	—	53	4	no	—
1714	#123	—	53	4	no	—
1715	#123	—	53	4	no	—
1716	#123	—	53	4	no	—
1717	#123	—	53	4	no	—
1718	#123	—	53	4	no	—
1719	#123	—	53	4	no	—
1720	#123	—	53	4	no	—
1721	#123	—	53	4	no	—
1722	#123	—	53	4	no	—
1723	#123	—	53	4	no	—
1724	#123	—	53	4	no	—
1725	#123	—	53	4	no	—
1726	#123	—	53	4	no	—
1727	#123	—	53	4	no	—
1728	#123	—	53	4	no	—
1729	#123	—	53	4	no	—
1730	#123	—	53	4	no	—
1731	#123	—	53	4	no	—
1732	#123	—	53	4	no	—
1733	#123	—	53	4	no	—
1734	#123	—	53	4	no	—
1735	#123	—	53	4	no	—
1736	#123	—	53	4	no	—
1737	#123	—	53	4	no	—
1738	#123	—	53	4	no	—
1739	#123	—	53	4	no	—
1740	#123	—	53	4	no	—
1741	#123	—	53	4	no	—
1742	#123	—	53	4	no	—
1743	#123	C₂²×D₅₃	1	4	yes	—
1744	#123	C₂²×D₅₃	1	4	yes	—
1745	#123	C₂²×D₅₃	1	4	yes	complemented
1746	#123	C₂²×D₅₃	1	4	yes	complemented
1747	C₂²⋊Q₈	—	53	2	no	—
1748	C₂²⋊Q₈	—	53	2	no	—
1749	C₂²⋊Q₈	—	53	4	no	—
1750	C₂²⋊Q₈	—	53	4	no	—
1751	C₂²⋊Q₈	—	53	2	no	—
1752	C₂²⋊Q₈	—	53	2	no	—
1753	C₂²⋊Q₈	—	53	2	no	—
1754	C₂²⋊Q₈	—	53	2	no	—
1755	C₂²⋊Q₈	—	53	2	no	—
1756	C₂²⋊Q₈	—	53	2	no	—
1757	C₂²⋊Q₈	—	53	2	no	—
1758	C₂²⋊Q₈	—	53	2	no	—
1759	C₂²⋊Q₈	—	53	4	no	—
1760	C₂²⋊Q₈	—	53	4	no	—
1761	C₂²⋊Q₈	—	53	4	no	—
1762	C₂²⋊Q₈	—	53	4	no	—
1763	C₂²⋊Q₈	—	53	2	no	—
1764	C₂²⋊Q₈	—	53	2	no	—
1765	C₂²⋊Q₈	—	53	4	no	—
1766	C₂²⋊Q₈	—	53	4	no	—
1767	C₂²⋊Q₈	—	53	4	no	—
1768	C₂²⋊Q₈	—	53	4	no	—
1769	C₂²⋊Q₈	—	53	4	no	—
1770	C₂²⋊Q₈	—	53	4	no	—
1771	C₂²⋊Q₈	—	53	4	no	—
1772	C₂²⋊Q₈	—	53	4	no	—
1773	C₂²⋊Q₈	—	53	4	no	—
1774	C₂²⋊Q₈	—	53	4	no	—
1775	C₂²⋊Q₈	—	53	4	no	—
1776	C₂²⋊Q₈	—	53	4	no	—
1777	C₂²⋊Q₈	—	53	4	no	—
1778	C₂²⋊Q₈	—	53	4	no	—
1779	C₂²⋊Q₈	—	53	4	no	—
1780	C₂²⋊Q₈	—	53	4	no	—
1781	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1782	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1783	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1784	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	—
1785	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1786	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1787	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1788	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1789	#121	—	53	4	no	—
1790	#121	—	53	2	no	—
1791	#121	—	53	4	no	—
1792	#121	—	53	2	no	—
1793	#121	—	53	4	no	—
1794	#121	—	53	4	no	—
1795	#121	—	53	4	no	—
1796	#121	—	53	4	no	—
1797	#121	—	53	4	no	—
1798	#121	—	53	4	no	—
1799	#121	—	53	4	no	—
1800	#121	—	53	4	no	—
1801	#121	—	53	4	no	—
1802	#121	—	53	4	no	—
1803	#121	—	53	4	no	—
1804	#121	—	53	4	no	—
1805	#121	—	53	4	no	—
1806	#121	—	53	4	no	—
1807	#121	—	53	4	no	—
1808	#121	—	53	4	no	—
1809	#121	—	53	2	no	—
1810	#121	—	53	2	no	—
1811	#121	—	53	2	no	—
1812	#121	—	53	2	no	—
1813	#121	—	53	2	no	—
1814	#121	—	53	2	no	—
1815	#121	—	53	2	no	—
1816	#121	—	53	2	no	—
1817	#121	—	53	4	no	—
1818	#121	—	53	4	no	—
1819	#121	—	53	4	no	—
1820	#121	—	53	2	no	—
1821	#121	—	53	2	no	—
1822	#121	—	53	4	no	—
1823	#121	—	53	4	no	—
1824	#121	—	53	4	no	—
1825	#121	—	53	4	no	—
1826	#121	—	53	4	no	—
1827	#121	—	53	4	no	—
1828	#121	—	53	4	no	—
1829	#121	—	53	4	no	—
1830	#121	—	53	4	no	—
1831	#121	C₂²×D₅₃	1	2	yes	—
1832	#121	C₂²×D₅₃	1	2	yes	—
1833	#121	C₂²×D₅₃	1	2	yes	—
1834	#121	C₂²×D₅₃	1	2	yes	—
1835	#121	C₂²×D₅₃	1	2	yes	complemented
1836	#121	C₂²×D₅₃	1	2	yes	complemented
1837	#121	C₂²×D₅₃	1	2	yes	complemented
1838	#121	C₂²×D₅₃	1	2	yes	complemented
1839	#120	—	53	4	no	—
1840	#120	—	53	4	no	—
1841	#120	—	53	4	no	—
1842	#120	—	53	4	no	—
1843	#120	—	53	4	no	—
1844	#120	—	53	4	no	—
1845	#120	—	53	4	no	—
1846	#120	—	53	4	no	—
1847	#120	—	53	4	no	—
1848	#120	—	53	4	no	—
1849	#120	—	53	4	no	—
1850	#120	—	53	4	no	—
1851	#120	—	53	4	no	—
1852	#120	—	53	4	no	—
1853	#120	—	53	4	no	—
1854	#120	—	53	4	no	—
1855	#120	—	53	4	no	—
1856	#120	—	53	4	no	—
1857	#120	C₂²×D₅₃	1	4	yes	—
1858	#120	C₂²×D₅₃	1	4	yes	—
1859	#120	C₂²×D₅₃	1	4	yes	—
1860	#120	C₂²×D₅₃	1	4	yes	—
1861	C₄×Q₈	—	53	2	no	—
1862	C₄×Q₈	—	53	2	no	—
1863	C₄×Q₈	—	53	4	no	—
1864	C₄×Q₈	—	53	4	no	—
1865	C₄×Q₈	—	53	2	no	—
1866	C₄×Q₈	—	53	2	no	—
1867	C₄×Q₈	—	53	4	no	—
1868	C₄×Q₈	—	53	4	no	—
1869	C₄×Q₈	—	53	4	no	—
1870	C₄×Q₈	—	53	4	no	—
1871	C₄×D₄	—	53	4	no	—
1872	C₄×D₄	—	53	4	no	—
1873	C₄×D₄	—	53	4	no	—
1874	C₄×D₄	—	53	4	no	—
1875	C₄×D₄	—	53	4	no	—
1876	C₄×D₄	—	53	4	no	—
1877	C₄×D₄	—	53	4	no	—
1878	C₄×D₄	—	53	4	no	—
1879	C₄×D₄	—	53	2	no	—
1880	C₄×D₄	—	53	2	no	—
1881	C₄×D₄	—	53	2	no	—
1882	C₄×D₄	—	53	2	no	—
1883	C₄×D₄	—	53	2	no	—
1884	C₄×D₄	—	53	2	no	—
1885	C₄×D₄	—	53	2	no	—
1886	C₄×D₄	—	53	2	no	—
1887	C₄×D₄	—	53	2	no	—
1888	C₄×D₄	—	53	2	no	—
1889	C₄×D₄	—	53	2	no	—
1890	C₄×D₄	—	53	2	no	—
1891	C₄×D₄	—	53	2	no	—
1892	C₄×D₄	—	53	2	no	—
1893	C₄×D₄	—	53	2	no	—
1894	C₄×D₄	—	53	2	no	—
1895	C₄×D₄	—	53	2	no	—
1896	C₄×D₄	—	53	2	no	—
1897	C₄×D₄	—	53	2	no	—
1898	C₄×D₄	—	53	2	no	—
1899	C₄×D₄	—	53	2	no	—
1900	C₄×D₄	—	53	2	no	—
1901	C₄×D₄	—	53	2	no	—
1902	C₄×D₄	—	53	2	no	—
1903	C₄×D₄	—	53	2	no	—
1904	C₄×D₄	—	53	2	no	—
1905	C₄×D₄	—	53	2	no	—
1906	C₄×D₄	—	53	2	no	—
1907	C₄×D₄	—	53	2	no	—
1908	C₄×D₄	—	53	2	no	—
1909	C₄×D₄	—	53	2	no	—
1910	C₄×D₄	—	53	2	no	—
1911	C₄×D₄	—	53	2	no	—
1912	C₄×D₄	—	53	2	no	—
1913	C₄×D₄	—	53	4	no	—
1914	C₄×D₄	—	53	4	no	—
1915	C₄×D₄	—	53	4	no	—
1916	C₄×D₄	—	53	4	no	—
1917	C₄×D₄	—	53	4	no	—
1918	C₄×D₄	—	53	4	no	—
1919	C₄×D₄	—	53	4	no	—
1920	C₄×D₄	—	53	4	no	—
1921	C₄×D₄	—	53	4	no	—
1922	C₄×D₄	—	53	4	no	—
1923	C₄×D₄	—	53	4	no	—
1924	C₄×D₄	—	53	4	no	—
1925	C₄×D₄	—	53	4	no	—
1926	C₄×D₄	—	53	4	no	—
1927	C₄×D₄	—	53	4	no	—
1928	C₄×D₄	—	53	4	no	—
1929	C₄×D₄	—	53	4	no	—
1930	C₄×D₄	—	53	4	no	—
1931	C₄×D₄	—	53	4	no	—
1932	C₄×D₄	—	53	4	no	—
1933	C₄×D₄	—	53	4	no	—
1934	C₄×D₄	—	53	2	no	—
1935	C₄×D₄	—	53	2	no	—
1936	C₄×D₄	—	53	4	no	—
1937	C₄×D₄	—	53	4	no	—
1938	C₄×D₄	—	53	4	no	—
1939	C₄×D₄	—	53	4	no	—
1940	C₄×D₄	—	53	4	no	—
1941	C₄×D₄	—	53	4	no	—
1942	C₄×D₄	—	53	4	no	—
1943	C₄×D₄	—	53	4	no	—
1944	C₄×D₄	—	53	4	no	—
1945	C₄×D₄	—	53	4	no	—
1946	C₄×D₄	—	53	4	no	—
1947	C₄×D₄	—	53	4	no	—
1948	C₄×D₄	—	53	4	no	—
1949	C₄×D₄	—	53	4	no	—
1950	C₄×D₄	—	53	4	no	—
1951	C₄×D₄	—	53	4	no	—
1952	C₄×D₄	—	53	4	no	—
1953	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1954	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1955	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1956	C₄×D₄	C₂²×D₅₃	1	4	yes	—
1957	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1958	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1959	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1960	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1961	#117	—	53	2	no	—
1962	#117	—	53	2	no	—
1963	#117	—	53	2	no	—
1964	#117	—	53	2	no	—
1965	#117	—	53	4	no	—
1966	#117	—	53	4	no	—
1967	#117	—	53	2	no	—
1968	#117	—	53	2	no	—
1969	#117	—	53	4	no	—
1970	#117	—	53	4	no	—
1971	#117	—	53	4	no	—
1972	#117	—	53	4	no	—
1973	#117	—	53	4	no	—
1974	#117	—	53	4	no	—
1975	#117	—	53	4	no	—
1976	#117	—	53	4	no	—
1977	#117	—	53	4	no	—
1978	#117	—	53	4	no	—
1979	#117	—	53	4	no	—
1980	#117	—	53	4	no	—
1981	#117	—	53	4	no	—
1982	#117	—	53	4	no	—
1983	#117	C₂²×D₅₃	1	2	yes	—
1984	#117	C₂²×D₅₃	1	2	yes	—
1985	#117	C₂²×D₅₃	1	2	yes	complemented
1986	#117	C₂²×D₅₃	1	2	yes	complemented
1987	C₂×C₄⋊C₄	—	53	1	no	—
1988	C₂×C₄⋊C₄	—	53	1	no	—
1989	C₂×C₄⋊C₄	—	53	1	no	—
1990	C₂×C₄⋊C₄	—	53	1	no	—
1991	C₂×C₄⋊C₄	—	53	2	no	—
1992	C₂×C₄⋊C₄	—	53	2	no	—
1993	C₂×C₄⋊C₄	—	53	2	no	—
1994	C₂×C₄⋊C₄	—	53	2	no	—
1995	C₂×C₄⋊C₄	—	53	1	no	—
1996	C₂×C₄⋊C₄	—	53	1	no	—
1997	C₂×C₄⋊C₄	—	53	2	no	—
1998	C₂×C₄⋊C₄	—	53	4	no	—
1999	C₂×C₄⋊C₄	—	53	2	no	—
2000	C₂×C₄⋊C₄	—	53	2	no	—
2001	C₂×C₄⋊C₄	—	53	2	no	—
2002	C₂×C₄⋊C₄	—	53	4	no	—
2003	C₂×C₄⋊C₄	—	53	4	no	—
2004	C₂×C₄⋊C₄	—	53	4	no	—
2005	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2006	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2007	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2008	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2009	C₂×C₂²⋊C₄	—	53	1	no	—
2010	C₂×C₂²⋊C₄	—	53	1	no	—
2011	C₂×C₂²⋊C₄	—	53	1	no	—
2012	C₂×C₂²⋊C₄	—	53	1	no	—
2013	C₂×C₂²⋊C₄	—	53	2	no	—
2014	C₂×C₂²⋊C₄	—	53	2	no	—
2015	C₂×C₂²⋊C₄	—	53	2	no	—
2016	C₂×C₂²⋊C₄	—	53	2	no	—
2017	C₂×C₂²⋊C₄	—	53	2	no	—
2018	C₂×C₂²⋊C₄	—	53	2	no	—
2019	C₂×C₂²⋊C₄	—	53	4	no	—
2020	C₂×C₂²⋊C₄	—	53	2	no	—
2021	C₂×C₂²⋊C₄	—	53	1	no	—
2022	C₂×C₂²⋊C₄	—	53	1	no	—
2023	C₂×C₂²⋊C₄	—	53	1	no	—
2024	C₂×C₂²⋊C₄	—	53	1	no	—
2025	C₂×C₂²⋊C₄	—	53	2	no	—
2026	C₂×C₂²⋊C₄	—	53	2	no	—
2027	C₂×C₂²⋊C₄	—	53	2	no	—
2028	C₂×C₂²⋊C₄	—	53	2	no	—
2029	C₂×C₂²⋊C₄	—	53	2	no	—
2030	C₂×C₂²⋊C₄	—	53	4	no	—
2031	C₂×C₂²⋊C₄	—	53	2	no	—
2032	C₂×C₂²⋊C₄	—	53	4	no	—
2033	C₂×C₂²⋊C₄	—	53	4	no	—
2034	C₂×C₂²⋊C₄	—	53	4	no	—
2035	C₂×C₂²⋊C₄	—	53	4	no	—
2036	C₂×C₂²⋊C₄	—	53	4	no	—
2037	C₂×C₂²⋊C₄	—	53	4	no	—
2038	C₂×C₂²⋊C₄	—	53	4	no	—
2039	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2040	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2041	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2042	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2043	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2044	C₂×C₄²	—	53	2	no	—
2045	C₂×C₄²	—	53	1	no	—
2046	C₂×C₄²	—	53	2	no	—
2047	C₂×C₄²	—	53	2	no	—
2048	C₂×C₄²	—	53	2	no	—
2049	C₂×C₄²	—	53	1	no	—
2050	C₂×C₄²	—	53	1	no	—
2051	C₂×C₄²	—	53	2	no	—
2052	C₂×C₄²	—	53	1	no	—
2053	C₂×C₄²	—	53	4	no	—
2054	C₂×C₄²	—	53	4	no	—
2055	C₂×C₄²	—	53	4	no	—
2056	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2057	C₂⁴	—	2	4	no	—
2058	C₂⁴	—	4	2	no	—
2059	C₂⁴	—	4	2	no	—
2060	C₂⁴	—	53	1	no	—
2061	C₂⁴	—	53	2	no	—
2062	C₂⁴	—	53	2	no	—
2063	C₂⁴	—	53	4	no	—
2064	C₂⁴	—	53	2	no	—
2065	C₂⁴	—	53	1	no	—
2066	C₂⁴	—	106	4	no	—
2067	C₂⁴	—	212	2	no	—
2068	C₂⁴	—	212	2	no	—
2069	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2070	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2071	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2072	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2073	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2074	C₂⁴	C₂³×D₅₃	1	2	yes	—
2075	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2076	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2077	#41	—	2	8	no	—
2078	#41	—	4	4	no	—
2079	#41	—	4	4	no	—
2080	#41	—	4	4	no	—
2081	#41	—	106	16	no	—
2082	#41	—	106	16	no	—
2083	#41	—	106	16	no	—
2084	#41	—	106	8	no	—
2085	#41	—	212	4	no	—
2086	#41	—	212	8	no	—
2087	#41	—	212	4	no	—
2088	#41	—	212	4	no	—
2089	#41	—	212	8	no	—
2090	#41	—	212	8	no	—
2091	#41	—	212	4	no	—
2092	#41	—	212	4	no	—
2093	C₂×Q₈	—	4	2	no	—
2094	C₂×Q₈	—	53	4	no	—
2095	C₂×Q₈	—	53	2	no	—
2096	C₂×Q₈	—	53	4	no	—
2097	C₂×Q₈	—	53	2	no	—
2098	C₂×Q₈	—	53	4	no	—
2099	C₂×Q₈	—	212	2	no	—
2100	C₂×Q₈	—	212	4	no	—
2101	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2102	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2103	C₂×D₄	—	2	8	no	—
2104	C₂×D₄	—	4	2	no	—
2105	C₂×D₄	—	4	4	no	—
2106	C₂×D₄	—	4	4	no	—
2107	C₂×D₄	—	53	8	no	—
2108	C₂×D₄	—	53	2	no	—
2109	C₂×D₄	—	53	2	no	—
2110	C₂×D₄	—	53	4	no	—
2111	C₂×D₄	—	53	4	no	—
2112	C₂×D₄	—	53	4	no	—
2113	C₂×D₄	—	53	4	no	—
2114	C₂×D₄	—	53	2	no	—
2115	C₂×D₄	—	53	2	no	—
2116	C₂×D₄	—	53	2	no	—
2117	C₂×D₄	—	53	2	no	—
2118	C₂×D₄	—	53	2	no	—
2119	C₂×D₄	—	53	2	no	—
2120	C₂×D₄	—	53	4	no	—
2121	C₂×D₄	—	53	4	no	—
2122	C₂×D₄	—	53	4	no	—
2123	C₂×D₄	—	53	4	no	—
2124	C₂×D₄	—	53	4	no	—
2125	C₂×D₄	—	53	4	no	—
2126	C₂×D₄	—	53	4	no	—
2127	C₂×D₄	—	53	4	no	—
2128	C₂×D₄	—	53	4	no	—
2129	C₂×D₄	—	53	2	no	—
2130	C₂×D₄	—	53	4	no	—
2131	C₂×D₄	—	53	4	no	—
2132	C₂×D₄	—	53	2	no	—
2133	C₂×D₄	—	106	4	no	—
2134	C₂×D₄	—	106	16	no	—
2135	C₂×D₄	—	106	16	no	—
2136	C₂×D₄	—	106	8	no	—
2137	C₂×D₄	—	106	8	no	—
2138	C₂×D₄	—	106	8	no	—
2139	C₂×D₄	—	106	8	no	—
2140	C₂×D₄	—	106	16	no	—
2141	C₂×D₄	—	106	4	no	—
2142	C₂×D₄	—	106	4	no	—
2143	C₂×D₄	—	106	8	no	—
2144	C₂×D₄	—	212	2	no	—
2145	C₂×D₄	—	212	4	no	—
2146	C₂×D₄	—	212	8	no	—
2147	C₂×D₄	—	212	8	no	—
2148	C₂×D₄	—	212	4	no	—
2149	C₂×D₄	—	212	4	no	—
2150	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2151	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2152	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2153	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2154	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2155	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2156	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2157	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2158	C₂²×C₄	—	2	4	no	—
2159	C₂²×C₄	—	2	4	no	—
2160	C₂²×C₄	—	2	4	no	—
2161	C₂²×C₄	—	4	2	no	—
2162	C₂²×C₄	—	4	2	no	—
2163	C₂²×C₄	—	4	2	no	—
2164	C₂²×C₄	—	4	2	no	—
2165	C₂²×C₄	—	4	2	no	—
2166	C₂²×C₄	—	4	2	no	—
2167	C₂²×C₄	—	4	2	no	—
2168	C₂²×C₄	—	4	2	no	—
2169	C₂²×C₄	—	4	4	no	—
2170	C₂²×C₄	—	4	2	no	—
2171	C₂²×C₄	—	4	2	no	—
2172	C₂²×C₄	—	4	2	no	—
2173	C₂²×C₄	—	53	1	no	—
2174	C₂²×C₄	—	53	2	no	—
2175	C₂²×C₄	—	53	2	no	—
2176	C₂²×C₄	—	53	2	no	—
2177	C₂²×C₄	—	53	1	no	—
2178	C₂²×C₄	—	53	2	no	—
2179	C₂²×C₄	—	53	4	no	—
2180	C₂²×C₄	—	53	2	no	—
2181	C₂²×C₄	—	53	1	no	—
2182	C₂²×C₄	—	53	2	no	—
2183	C₂²×C₄	—	53	1	no	—
2184	C₂²×C₄	—	53	2	no	—
2185	C₂²×C₄	—	53	4	no	—
2186	C₂²×C₄	—	53	1	no	—
2187	C₂²×C₄	—	53	2	no	—
2188	C₂²×C₄	—	53	2	no	—
2189	C₂²×C₄	—	53	1	no	—
2190	C₂²×C₄	—	53	4	no	—
2191	C₂²×C₄	—	53	4	no	—
2192	C₂²×C₄	—	53	4	no	—
2193	C₂²×C₄	—	53	2	no	—
2194	C₂²×C₄	—	53	2	no	—
2195	C₂²×C₄	—	53	2	no	—
2196	C₂²×C₄	—	53	4	no	—
2197	C₂²×C₄	—	53	2	no	—
2198	C₂²×C₄	—	53	4	no	—
2199	C₂²×C₄	—	53	4	no	—
2200	C₂²×C₄	—	53	2	no	—
2201	C₂²×C₄	—	53	2	no	—
2202	C₂²×C₄	—	53	4	no	—
2203	C₂²×C₄	—	53	4	no	—
2204	C₂²×C₄	—	53	4	no	—
2205	C₂²×C₄	—	53	2	no	—
2206	C₂²×C₄	—	53	2	no	—
2207	C₂²×C₄	—	106	4	no	—
2208	C₂²×C₄	—	106	8	no	—
2209	C₂²×C₄	—	212	2	no	—
2210	C₂²×C₄	—	212	4	no	—
2211	C₂²×C₄	—	212	2	no	—
2212	C₂²×C₄	—	212	4	no	—
2213	C₂²×C₄	—	212	2	no	—
2214	C₂²×C₄	—	212	2	no	—
2215	C₂²×C₄	—	212	4	no	—
2216	C₂²×C₄	—	212	8	no	—
2217	C₂²×C₄	—	212	4	no	—
2218	C₂²×C₄	—	212	2	no	—
2219	C₂²×C₄	—	212	2	no	—
2220	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2221	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2222	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2223	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2224	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2225	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2226	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2227	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2228	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2229	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2230	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2231	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2232	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2233	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2234	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2235	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2236	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2237	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2238	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2239	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2240	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2241	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2242	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2243	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2244	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2245	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2246	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2247	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2248	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2249	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2250	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2251	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2252	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2253	C₄⋊C₄	—	53	2	no	—
2254	C₄⋊C₄	—	53	2	no	—
2255	C₄⋊C₄	—	53	2	no	—
2256	C₄⋊C₄	—	53	2	no	—
2257	C₄⋊C₄	—	53	2	no	—
2258	C₄⋊C₄	—	53	2	no	—
2259	C₄⋊C₄	—	53	2	no	—
2260	C₄⋊C₄	—	53	2	no	—
2261	C₄⋊C₄	—	53	2	no	—
2262	C₄⋊C₄	—	53	2	no	—
2263	C₄⋊C₄	—	53	4	no	—
2264	C₄⋊C₄	—	53	4	no	—
2265	C₄⋊C₄	—	53	4	no	—
2266	C₄⋊C₄	—	53	4	no	—
2267	C₄⋊C₄	—	53	4	no	—
2268	C₄⋊C₄	—	53	4	no	—
2269	C₄⋊C₄	—	53	4	no	—
2270	C₄⋊C₄	—	53	4	no	—
2271	C₄⋊C₄	—	53	2	no	—
2272	C₄⋊C₄	—	53	2	no	—
2273	C₄⋊C₄	—	53	4	no	—
2274	C₄⋊C₄	—	53	4	no	—
2275	C₄⋊C₄	—	53	4	no	—
2276	C₄⋊C₄	—	53	4	no	—
2277	C₄⋊C₄	—	53	4	no	—
2278	C₄⋊C₄	—	53	4	no	—
2279	C₄⋊C₄	—	53	4	no	—
2280	C₄⋊C₄	—	53	4	no	—
2281	C₄⋊C₄	—	53	4	no	—
2282	C₄⋊C₄	—	53	4	no	—
2283	C₄⋊C₄	—	53	4	no	—
2284	C₄⋊C₄	—	53	4	no	—
2285	C₄⋊C₄	—	53	4	no	—
2286	C₄⋊C₄	—	53	4	no	—
2287	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2288	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2289	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2290	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2291	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2292	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2293	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2294	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2295	C₂²⋊C₄	—	53	2	no	—
2296	C₂²⋊C₄	—	53	2	no	—
2297	C₂²⋊C₄	—	53	2	no	—
2298	C₂²⋊C₄	—	53	2	no	—
2299	C₂²⋊C₄	—	53	2	no	—
2300	C₂²⋊C₄	—	53	2	no	—
2301	C₂²⋊C₄	—	53	2	no	—
2302	C₂²⋊C₄	—	53	2	no	—
2303	C₂²⋊C₄	—	53	4	no	—
2304	C₂²⋊C₄	—	53	4	no	—
2305	C₂²⋊C₄	—	53	4	no	—
2306	C₂²⋊C₄	—	53	4	no	—
2307	C₂²⋊C₄	—	53	4	no	—
2308	C₂²⋊C₄	—	53	4	no	—
2309	C₂²⋊C₄	—	53	4	no	—
2310	C₂²⋊C₄	—	53	4	no	—
2311	C₂²⋊C₄	—	53	4	no	—
2312	C₂²⋊C₄	—	53	4	no	—
2313	C₂²⋊C₄	—	53	4	no	—
2314	C₂²⋊C₄	—	53	4	no	—
2315	C₂²⋊C₄	—	53	2	no	—
2316	C₂²⋊C₄	—	53	2	no	—
2317	C₂²⋊C₄	—	53	2	no	—
2318	C₂²⋊C₄	—	53	2	no	—
2319	C₂²⋊C₄	—	53	2	no	—
2320	C₂²⋊C₄	—	53	2	no	—
2321	C₂²⋊C₄	—	53	2	no	—
2322	C₂²⋊C₄	—	53	2	no	—
2323	C₂²⋊C₄	—	53	4	no	—
2324	C₂²⋊C₄	—	53	4	no	—
2325	C₂²⋊C₄	—	53	4	no	—
2326	C₂²⋊C₄	—	53	4	no	—
2327	C₂²⋊C₄	—	53	4	no	—
2328	C₂²⋊C₄	—	53	4	no	—
2329	C₂²⋊C₄	—	53	4	no	—
2330	C₂²⋊C₄	—	53	4	no	—
2331	C₂²⋊C₄	—	53	4	no	—
2332	C₂²⋊C₄	—	53	4	no	—
2333	C₂²⋊C₄	—	53	4	no	—
2334	C₂²⋊C₄	—	53	4	no	—
2335	C₂²⋊C₄	—	53	4	no	—
2336	C₂²⋊C₄	—	53	4	no	—
2337	C₂²⋊C₄	—	53	4	no	—
2338	C₂²⋊C₄	—	53	4	no	—
2339	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2340	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2341	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2342	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2343	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2344	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2345	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2346	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2347	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2348	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2349	C₄²	—	53	2	no	—
2350	C₄²	—	53	2	no	—
2351	C₄²	—	53	2	no	—
2352	C₄²	—	53	2	no	—
2353	C₄²	—	53	2	no	—
2354	C₄²	—	53	2	no	—
2355	C₄²	—	53	4	no	—
2356	C₄²	—	53	4	no	—
2357	C₄²	—	53	4	no	—
2358	C₄²	—	53	4	no	—
2359	C₄²	—	53	4	no	—
2360	C₄²	—	53	4	no	—
2361	C₄²	—	53	4	no	—
2362	C₄²	—	53	2	no	—
2363	C₄²	—	53	2	no	—
2364	C₄²	—	53	4	no	—
2365	C₄²	C₂³×D₅₃	1	4	yes	—
2366	C₄²	C₂³×D₅₃	1	4	yes	—
2367	C₂³	—	2	2	no	—
2368	C₂³	—	2	2	no	—
2369	C₂³	—	2	2	no	—
2370	C₂³	—	2	2	no	—
2371	C₂³	—	2	2	no	—
2372	C₂³	—	2	2	no	—
2373	C₂³	—	2	2	no	—
2374	C₂³	—	2	2	no	—
2375	C₂³	—	2	2	no	—
2376	C₂³	—	2	2	no	—
2377	C₂³	—	2	2	no	—
2378	C₂³	—	2	2	no	—
2379	C₂³	—	2	4	no	—
2380	C₂³	—	4	1	no	—
2381	C₂³	—	4	1	no	—
2382	C₂³	—	4	1	no	—
2383	C₂³	—	4	1	no	—
2384	C₂³	—	4	1	no	—
2385	C₂³	—	4	1	no	—
2386	C₂³	—	4	1	no	—
2387	C₂³	—	4	1	no	—
2388	C₂³	—	4	2	no	—
2389	C₂³	—	4	2	no	—
2390	C₂³	—	4	16	no	—
2391	C₂³	—	53	2	no	—
2392	C₂³	—	53	4	no	—
2393	C₂³	—	53	2	no	—
2394	C₂³	—	53	4	no	—
2395	C₂³	—	106	8	no	—
2396	C₂³	—	106	4	no	—
2397	C₂³	—	106	4	no	—
2398	C₂³	—	106	4	no	—
2399	C₂³	—	106	2	no	—
2400	C₂³	—	106	4	no	—
2401	C₂³	—	106	4	no	—
2402	C₂³	—	212	2	no	—
2403	C₂³	—	212	4	no	—
2404	C₂³	—	212	2	no	—
2405	C₂³	—	212	4	no	—
2406	C₂³	—	212	1	no	—
2407	C₂³	—	212	2	no	—
2408	C₂³	—	212	1	no	—
2409	C₂³	—	212	1	no	—
2410	C₂³	—	212	2	no	—
2411	C₂³	—	212	1	no	—
2412	C₂³	—	212	16	no	—
2413	C₂³	#41×D₅₃	1	4	yes	complemented
2414	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2415	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2416	C₂³	C₂⁴×D₅₃	1	4	yes	—
2417	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2418	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2419	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2420	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2421	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2422	Q₈	—	2	4	no	—
2423	Q₈	—	4	2	no	—
2424	Q₈	—	106	8	no	—
2425	Q₈	—	106	4	no	—
2426	Q₈	—	212	2	no	—
2427	Q₈	—	212	4	no	—
2428	Q₈	—	212	4	no	—
2429	D₄	—	2	8	no	—
2430	D₄	—	2	8	no	—
2431	D₄	—	2	8	no	—
2432	D₄	—	2	8	no	—
2433	D₄	—	2	4	no	—
2434	D₄	—	4	4	no	—
2435	D₄	—	4	2	no	—
2436	D₄	—	4	4	no	—
2437	D₄	—	53	8	no	—
2438	D₄	—	53	8	no	—
2439	D₄	—	106	8	no	—
2440	D₄	—	106	4	no	—
2441	D₄	—	106	4	no	—
2442	D₄	—	106	8	no	—
2443	D₄	—	106	4	no	—
2444	D₄	—	106	4	no	—
2445	D₄	—	106	8	no	—
2446	D₄	—	106	4	no	—
2447	D₄	—	106	4	no	—
2448	D₄	—	106	8	no	—
2449	D₄	—	106	8	no	—
2450	D₄	—	106	8	no	—
2451	D₄	—	106	8	no	—
2452	D₄	—	106	4	no	—
2453	D₄	—	212	4	no	—
2454	D₄	—	212	2	no	—
2455	D₄	—	212	4	no	—
2456	D₄	—	212	4	no	—
2457	D₄	—	212	4	no	—
2458	D₄	—	212	4	no	—
2459	D₄	—	212	4	no	—
2460	D₄	—	212	4	no	—
2461	D₄	—	212	4	no	—
2462	C₂×C₄	—	2	4	no	—
2463	C₂×C₄	—	2	2	no	—
2464	C₂×C₄	—	2	2	no	—
2465	C₂×C₄	—	2	2	no	—
2466	C₂×C₄	—	2	2	no	—
2467	C₂×C₄	—	2	2	no	—
2468	C₂×C₄	—	2	2	no	—
2469	C₂×C₄	—	2	2	no	—
2470	C₂×C₄	—	2	2	no	—
2471	C₂×C₄	—	2	2	no	—
2472	C₂×C₄	—	2	2	no	—
2473	C₂×C₄	—	2	2	no	—
2474	C₂×C₄	—	2	2	no	—
2475	C₂×C₄	—	2	2	no	—
2476	C₂×C₄	—	2	2	no	—
2477	C₂×C₄	—	2	2	no	—
2478	C₂×C₄	—	2	8	no	—
2479	C₂×C₄	—	4	1	no	—
2480	C₂×C₄	—	4	1	no	—
2481	C₂×C₄	—	4	1	no	—
2482	C₂×C₄	—	4	1	no	—
2483	C₂×C₄	—	4	1	no	—
2484	C₂×C₄	—	4	1	no	—
2485	C₂×C₄	—	4	1	no	—
2486	C₂×C₄	—	4	1	no	—
2487	C₂×C₄	—	4	1	no	—
2488	C₂×C₄	—	4	1	no	—
2489	C₂×C₄	—	4	1	no	—
2490	C₂×C₄	—	4	1	no	—
2491	C₂×C₄	—	4	2	no	—
2492	C₂×C₄	—	4	4	no	—
2493	C₂×C₄	—	4	2	no	—
2494	C₂×C₄	—	53	4	no	—
2495	C₂×C₄	—	53	2	no	—
2496	C₂×C₄	—	53	2	no	—
2497	C₂×C₄	—	53	2	no	—
2498	C₂×C₄	—	53	4	no	—
2499	C₂×C₄	—	53	4	no	—
2500	C₂×C₄	—	53	2	no	—
2501	C₂×C₄	—	53	2	no	—
2502	C₂×C₄	—	53	4	no	—
2503	C₂×C₄	—	53	2	no	—
2504	C₂×C₄	—	106	8	no	—
2505	C₂×C₄	—	106	8	no	—
2506	C₂×C₄	—	106	4	no	—
2507	C₂×C₄	—	106	4	no	—
2508	C₂×C₄	—	106	8	no	—
2509	C₂×C₄	—	106	2	no	—
2510	C₂×C₄	—	106	4	no	—
2511	C₂×C₄	—	106	4	no	—
2512	C₂×C₄	—	106	4	no	—
2513	C₂×C₄	—	106	4	no	—
2514	C₂×C₄	—	106	4	no	—
2515	C₂×C₄	—	106	4	no	—
2516	C₂×C₄	—	106	4	no	—
2517	C₂×C₄	—	106	8	no	—
2518	C₂×C₄	—	212	2	no	—
2519	C₂×C₄	—	212	2	no	—
2520	C₂×C₄	—	212	2	no	—
2521	C₂×C₄	—	212	2	no	—
2522	C₂×C₄	—	212	4	no	—
2523	C₂×C₄	—	212	4	no	—
2524	C₂×C₄	—	212	4	no	—
2525	C₂×C₄	—	212	4	no	—
2526	C₂×C₄	—	212	4	no	—
2527	C₂×C₄	—	212	1	no	—
2528	C₂×C₄	—	212	2	no	—
2529	C₂×C₄	—	212	1	no	—
2530	C₂×C₄	—	212	1	no	—
2531	C₂×C₄	—	212	2	no	—
2532	C₂×C₄	—	212	1	no	—
2533	C₂×C₄	—	212	2	no	—
2534	C₂×C₄	—	212	4	no	—
2535	C₂×C₄	—	212	2	no	—
2536	C₂×C₄	—	212	4	no	—
2537	C₂×C₄	#13133262	1	4	yes	complemented
2538	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2539	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2540	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2541	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2542	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2543	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2544	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2545	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2546	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2547	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2548	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2549	C₂²	—	2	8	no	—
2550	C₂²	—	2	1	no	—
2551	C₂²	—	2	1	no	—
2552	C₂²	—	2	1	no	—
2553	C₂²	—	2	1	no	—
2554	C₂²	—	2	1	no	—
2555	C₂²	—	2	1	no	—
2556	C₂²	—	2	1	no	—
2557	C₂²	—	2	1	no	—
2558	C₂²	—	2	1	no	—
2559	C₂²	—	2	1	no	—
2560	C₂²	—	2	4	no	—
2561	C₂²	—	2	1	no	—
2562	C₂²	—	2	1	no	—
2563	C₂²	—	2	1	no	—
2564	C₂²	—	2	1	no	—
2565	C₂²	—	2	4	no	—
2566	C₂²	—	2	4	no	—
2567	C₂²	—	2	1	no	—
2568	C₂²	—	2	1	no	—
2569	C₂²	—	4	4	no	—
2570	C₂²	—	4	4	no	—
2571	C₂²	—	4	4	no	—
2572	C₂²	—	4	4	no	—
2573	C₂²	—	4	4	no	—
2574	C₂²	—	4	4	no	—
2575	C₂²	—	8	4	no	—
2576	C₂²	—	53	4	no	—
2577	C₂²	—	106	2	no	—
2578	C₂²	—	106	2	no	—
2579	C₂²	—	106	4	no	—
2580	C₂²	—	106	2	no	—
2581	C₂²	—	106	2	no	—
2582	C₂²	—	106	4	no	—
2583	C₂²	—	106	4	no	—
2584	C₂²	—	106	2	no	—
2585	C₂²	—	424	4	no	—
2586	C₂²	—	424	8	no	—
2587	C₂²	—	212	4	no	—
2588	C₂²	—	212	8	no	—
2589	C₂²	—	212	8	no	—
2590	C₂²	—	212	4	no	—
2591	C₂²	C₂×#41×D₅₃	1	2	yes	—
2592	C₂²	C₂×#41×D₅₃	1	2	yes	—
2593	C₂²	C₂×#41×D₅₃	1	2	yes	—
2594	C₂²	C₂×#13133262	1	2	yes	—
2595	C₂²	#16811459	1	2	yes	—
2596	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2597	C₄	—	2	4	no	—
2598	C₄	—	2	1	no	—
2599	C₄	—	2	1	no	—
2600	C₄	—	2	1	no	—
2601	C₄	—	2	1	no	—
2602	C₄	—	2	1	no	—
2603	C₄	—	2	1	no	—
2604	C₄	—	2	4	no	—
2605	C₄	—	2	4	no	—
2606	C₄	—	53	4	no	—
2607	C₄	—	106	2	no	—
2608	C₄	—	106	4	no	—
2609	C₄	—	106	2	no	—
2610	C₄	—	106	2	no	—
2611	C₄	—	106	4	no	—
2612	C₄	—	106	2	no	—
2613	C₄	—	106	2	no	—
2614	C₄	—	106	4	no	—
2615	C₄	C₂×#13133262	1	2	yes	—
2616	C₄	C₂×#13133262	1	2	yes	—
2617	C₂	—	2	2	no	—
2618	C₂	—	2	2	no	—
2619	C₂	—	2	2	no	—
2620	C₂	—	2	2	no	—
2621	C₂	—	2	2	no	—
2622	C₂	—	4	1	no	—
2623	C₂	—	4	1	no	—
2624	C₂	—	4	4	no	—
2625	C₂	—	106	4	no	—
2626	C₂	—	212	4	no	—
2627	C₂	—	212	2	no	—
2628	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2629	C₂	C₂²×#13133262	1	1	yes	characteristic
2630	C₂	C₂×#16811459	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂⁴×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Frattini	C₂²	C₂⁵×D₅₃
Fitting	C₂×C₅₃×#525	C₂
hypercenter	C₂×#525	D₅₃
hypocenter	C₅₃	#62773
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#525

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288758	C₂	semidirect
2. #20288752	C₂	semidirect
3. #20288741	C₂	semidirect
4. #20288735	C₂	semidirect
5. #20288647	C₂	semidirect
6. #20288641	C₂	semidirect
7. #20288558	C₂	semidirect
8. #20288556	C₂	semidirect
9. #20288549	C₂	semidirect
10. #20288543	C₂	semidirect
11. #20288511	C₂	semidirect
12. #20288472	C₂	semidirect
13. #20288416	C₂	semidirect
14. #20288402	C₂	semidirect
15. #20288398	C₂	semidirect
16. #20288344	C₂	semidirect
17. #20288319	C₂	semidirect
18. #20288317	C₂	semidirect
19. #20288275	C₂	semidirect
20. #20288269	C₂	semidirect
21. #41×C₂²⋊D₅₃	C₂	semidirect
22. #20288198	C₂	semidirect
23. #20288133	C₂	semidirect
24. #20288124	C₂	semidirect
25. #20288122	C₂	semidirect
26. #20288007	C₂	semidirect
27. C₂×#16811134	C₂	semidirect
28. #525×D₅₃	C₂	semidirect
29. C₄×#13133262	C₂	semidirect
30. C₂²×C₄×C₂²⋊D₅₃	C₂	semidirect
31. C₂×C₅₃×#525	C₂	semidirect
33. C₂²×#11719945	C₂²	semidirect
34. C₂×#41×D₅₃	C₂²	semidirect
36. C₂³×C₄×D₅₃	C₂²	semidirect
37. #16811357	C₂²	semidirect
38. #16811356	C₂²	semidirect
39. #16811344	C₂²	semidirect
40. #16811341	C₂²	semidirect
41. #16811337	C₂²	semidirect
42. #16811336	C₂²	semidirect
43. #16811332	C₂²	semidirect
44. #16811331	C₂²	semidirect
45. #16811328	C₂²	semidirect
46. #16811328	C₂²	semidirect
47. #16811327	C₂²	semidirect
48. #16811327	C₂²	semidirect
49. #16811325	C₂²	semidirect
50. #16811323	C₂²	semidirect
51. #16811322	C₂²	semidirect
52. #16811322	C₂²	semidirect
53. #16811321	C₂²	semidirect
54. #16811321	C₂²	semidirect
55. #16811320	C₂²	semidirect
56. #16811318	C₂²	semidirect
57. #16811318	C₂²	semidirect
58. #16811317	C₂²	semidirect
59. #16811316	C₂²	semidirect
60. #16811316	C₂²	semidirect
61. #16811315	C₂²	semidirect
62. #16811312	C₂²	semidirect
63. #16811310	C₂²	semidirect
64. #16811308	C₂²	semidirect
65. #16811307	C₂²	semidirect
66. #16811306	C₂²	semidirect
67. #16811304	C₂²	semidirect
68. #16811304	C₂²	semidirect
69. #16811302	C₂²	semidirect
70. #16811302	C₂²	semidirect
71. #16811301	C₂²	semidirect
72. #16811300	C₂²	semidirect
73. #16811300	C₂²	semidirect
74. #16811299	C₂²	semidirect
75. #16811299	C₂²	semidirect
76. #16811299	C₂²	semidirect
77. #16811297	C₂²	semidirect
78. #16811296	C₂²	semidirect
79. #16811292	C₂²	semidirect
80. #16811291	C₂²	semidirect
81. Q₈×C₂²⋊D₅₃	C₂²	semidirect
82. #16811286	C₂²	semidirect
83. #16811284	C₂²	semidirect
84. #16811283	C₂²	semidirect
85. #16811280	C₂²	semidirect
86. #16811279	C₂²	semidirect
87. #16811275	C₂²	semidirect
88. #16811274	C₂²	semidirect
89. #16811273	C₂²	semidirect
90. #16811272	C₂²	semidirect
91. #16811272	C₂²	semidirect
92. #16811271	C₂²	semidirect
93. #16811270	C₂²	semidirect
94. #16811268	C₂²	semidirect
95. #16811267	C₂²	semidirect
96. #16811267	C₂²	semidirect
97. #16811267	C₂²	semidirect
98. #16811265	C₂²	semidirect
99. #16811264	C₂²	semidirect
100. #16811263	C₂²	semidirect
101. #16811263	C₂²	semidirect
102. #16811263	C₂²	semidirect
103. #16811262	C₂²	semidirect
104. #16811262	C₂²	semidirect
105. #16811261	C₂²	semidirect
106. #16811261	C₂²	semidirect
107. #16811260	C₂²	semidirect
108. #16811260	C₂²	semidirect
109. #16811260	C₂²	semidirect
110. #16811260	C₂²	semidirect
111. #16811257	C₂²	semidirect
112. D₄×C₂²⋊D₅₃	C₂²	semidirect
113. D₄×C₂²⋊D₅₃	C₂²	semidirect
114. D₄×C₂²⋊D₅₃	C₂²	semidirect
115. #16811255	C₂²	semidirect
116. #16811255	C₂²	semidirect
117. #16811252	C₂²	semidirect
118. #16811249	C₂²	semidirect
119. #16811248	C₂²	semidirect
120. #16811243	C₂²	semidirect
121. #16811241	C₂²	semidirect
122. #16811225	C₂²	semidirect
123. #16811223	C₂²	semidirect
124. #16811222	C₂²	semidirect
125. #16811220	C₂²	semidirect
126. #16811219	C₂²	semidirect
127. #16811218	C₂²	semidirect
128. #16811216	C₂²	semidirect
129. #16811215	C₂²	semidirect
130. #16811215	C₂²	semidirect
131. #16811213	C₂²	semidirect
132. #16811211	C₂²	semidirect
133. #16811210	C₂²	semidirect
134. #16811209	C₂²	semidirect
135. #16811208	C₂²	semidirect
136. #16811208	C₂²	semidirect
137. #16811206	C₂²	semidirect
138. #16811206	C₂²	semidirect
139. #16811205	C₂²	semidirect
140. #16811200	C₂²	semidirect
141. #16811188	C₂²	semidirect
142. #16811185	C₂²	semidirect
143. #16811183	C₂²	semidirect
144. #16811182	C₂²	semidirect
145. #16811182	C₂²	semidirect
146. #16811181	C₂²	semidirect
147. #16811176	C₂²	semidirect
148. #16811175	C₂²	semidirect
149. #16811175	C₂²	semidirect
150. #16811170	C₂²	semidirect
151. #16811169	C₂²	semidirect
152. #16811169	C₂²	semidirect
153. #16811168	C₂²	semidirect
154. #16811168	C₂²	semidirect
155. #16811159	C₂²	semidirect
156. #16811159	C₂²	semidirect
157. #16811157	C₂²	semidirect
158. #16811155	C₂²	semidirect
159. #16811154	C₂²	semidirect
160. #16811154	C₂²	semidirect
161. #16811153	C₂²	semidirect
162. #16811153	C₂²	semidirect
163. #16811153	C₂²	semidirect
164. #16811153	C₂²	semidirect
165. #16811151	C₂²	semidirect
166. #16811151	C₂²	semidirect
167. #16811150	C₂²	semidirect
168. #16811150	C₂²	semidirect
169. #16811136	C₂²	semidirect
170. #16811136	C₂²	semidirect
171. #16811135	C₂²	semidirect
172. #16811134	C₂²	semidirect
173. #16811134	C₂²	semidirect
174. #16811134	C₂²	semidirect
175. #16811134	C₂²	semidirect
176. #16811134	C₂²	semidirect
177. #16811134	C₂²	semidirect
178. #16811134	C₂²	semidirect
179. #16811134	C₂²	semidirect
180. #16811134	C₂²	semidirect
181. #16811133	C₂²	semidirect
182. #16811133	C₂²	semidirect
183. #16811132	C₂²	semidirect
184. #16811132	C₂²	semidirect
185. #16811132	C₂²	semidirect
186. #16811132	C₂²	semidirect
187. #16811131	C₂²	semidirect
188. #16811130	C₂²	semidirect
189. #16811130	C₂²	semidirect
190. #16811129	C₂²	semidirect
191. #16811129	C₂²	semidirect
192. #16811129	C₂²	semidirect
193. C₂×#13133200	C₂²	semidirect
194. #123×D₅₃	C₂²	semidirect
195. C₂×#13133196	C₂²	semidirect
196. C₂×#13133196	C₂²	semidirect
197. C₂²⋊Q₈×D₅₃	C₂²	semidirect
198. C₂²⋊Q₈×D₅₃	C₂²	semidirect
199. C₂×#13133191	C₂²	semidirect
200. C₂×#13133191	C₂²	semidirect
201. #121×D₅₃	C₂²	semidirect
202. #121×D₅₃	C₂²	semidirect
203. C₂×#13133186	C₂²	semidirect
204. #120×D₅₃	C₂²	semidirect
205. #16811104	C₂²	semidirect
206. #16811102	C₂²	semidirect
207. #16811102	C₂²	semidirect
208. #16811098	C₂²	semidirect
210. #16811096	C₂²	semidirect
211. #16811096	C₂²	semidirect
212. #16811095	C₂²	semidirect
213. #16811095	C₂²	semidirect
214. #41×Dic₅₃	C₂²	semidirect
215. C₄×#11719945	C₂²	semidirect
216. #16811091	C₂²	semidirect
217. C₄×#11719947	C₂²	semidirect
218. C₄×#11719947	C₂²	semidirect
219. C₄×#11719947	C₂²	semidirect
222. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
223. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
224. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
225. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
226. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
227. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
228. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
229. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
230. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
231. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
232. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
233. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
234. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
235. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
236. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
237. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
238. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
239. C₄×D₄×D₅₃	C₂²	semidirect
240. C₄×D₄×D₅₃	C₂²	semidirect
241. C₄×D₄×D₅₃	C₂²	semidirect
242. C₂×#13133176	C₂²	semidirect
243. #117×D₅₃	C₂²	semidirect
244. C₂²×#11719919	C₂²	semidirect
245. C₂²×C₂²⋊Dic₅₃	C₂²	semidirect
246. C₂²×#11719921	C₂²	semidirect
247. C₂²×C₄×Dic₅₃	C₂²	semidirect
248. C₂²×#41×C₅₃	C₂²	semidirect
249. C₂⁴×C₄×C₅₃	C₂²	semidirect
250. C₅₃×#525	C₂²	semidirect
251. C₅₃×#525	C₂²	semidirect
252. C₅₃×#525	C₂²	semidirect
253. C₅₃×#525	C₂²	semidirect
254. C₅₃×#525	C₂²	semidirect
255. C₅₃×#525	C₂²	semidirect
256. C₅₃×#525	C₂²	semidirect
257. C₅₃×#525	C₂²	semidirect
258. C₂×#123×C₅₃	C₂²	semidirect
259. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
260. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
261. C₂×#121×C₅₃	C₂²	semidirect
262. C₂×#121×C₅₃	C₂²	semidirect
263. C₂×#120×C₅₃	C₂²	semidirect
264. C₂×C₄×D₄×C₅₃	C₂²	semidirect
265. C₂×C₄×D₄×C₅₃	C₂²	semidirect
266. C₂×#117×C₅₃	C₂²	semidirect
269. C₂×#11719949	C₂³	semidirect
274. C₂×#11719945	C₂³	semidirect
275. C₂×#11719945	C₂³	semidirect
276. C₂×#11719945	C₂³	semidirect
281. C₂×#11719947	C₂³	semidirect
283. C₂²×Dic₁₀₆	C₂³	semidirect
284. C₂×Q₈×D₅₃	C₂³	semidirect
285. C₂²×D₂₁₂	C₂³	semidirect
303. C₂×D₄×D₅₃	C₂³	semidirect
316. C₂²×C₄×D₅₃	C₂³	semidirect
317. C₂²×C₄×D₅₃	C₂³	semidirect
318. #13133216	C₂³	semidirect
319. #13133216	C₂³	semidirect
320. #13133216	C₂³	semidirect
321. #13133215	C₂³	semidirect
322. #13133215	C₂³	semidirect
325. #13133213	C₂³	semidirect
326. #13133212	C₂³	semidirect
327. #13133212	C₂³	semidirect
328. #13133212	C₂³	semidirect
329. #13133212	C₂³	semidirect
330. #13133212	C₂³	semidirect
331. #13133212	C₂³	semidirect
332. #13133211	C₂³	semidirect
333. #13133211	C₂³	semidirect
334. #13133210	C₂³	semidirect
335. #13133210	C₂³	semidirect
336. #13133210	C₂³	semidirect
337. #13133210	C₂³	semidirect
338. #13133210	C₂³	semidirect
339. #13133210	C₂³	semidirect
340. #13133210	C₂³	semidirect
341. #13133210	C₂³	semidirect
342. #13133209	C₂³	semidirect
343. #13133208	C₂³	semidirect
344. #13133208	C₂³	semidirect
345. #13133208	C₂³	semidirect
346. #13133207	C₂³	semidirect
347. #13133207	C₂³	semidirect
348. #13133207	C₂³	semidirect
349. #13133207	C₂³	semidirect
350. #13133207	C₂³	semidirect
351. #13133207	C₂³	semidirect
352. #13133206	C₂³	semidirect
353. #13133206	C₂³	semidirect
354. #13133205	C₂³	semidirect
355. #13133204	C₂³	semidirect
356. #13133204	C₂³	semidirect
357. #13133204	C₂³	semidirect
360. #13133203	C₂³	semidirect
361. #13133203	C₂³	semidirect
362. #13133203	C₂³	semidirect
363. #13133203	C₂³	semidirect
364. #13133203	C₂³	semidirect
365. #13133203	C₂³	semidirect
366. #13133202	C₂³	semidirect
367. #13133202	C₂³	semidirect
368. #13133202	C₂³	semidirect
369. #13133202	C₂³	semidirect
370. #13133202	C₂³	semidirect
371. #13133202	C₂³	semidirect
376. #13133201	C₂³	semidirect
380. #13133200	C₂³	semidirect
381. #13133200	C₂³	semidirect
382. #13133200	C₂³	semidirect
383. #13133200	C₂³	semidirect
384. #13133200	C₂³	semidirect
387. #13133199	C₂³	semidirect
388. #13133199	C₂³	semidirect
389. #13133199	C₂³	semidirect
390. #13133199	C₂³	semidirect
391. #13133199	C₂³	semidirect
392. #13133199	C₂³	semidirect
396. #13133198	C₂³	semidirect
397. #13133198	C₂³	semidirect
398. #13133198	C₂³	semidirect
399. #13133198	C₂³	semidirect
400. #13133197	C₂³	semidirect
401. #13133197	C₂³	semidirect
402. #13133197	C₂³	semidirect
407. #13133196	C₂³	semidirect
408. #13133196	C₂³	semidirect
409. #13133196	C₂³	semidirect
410. #13133196	C₂³	semidirect
411. #13133196	C₂³	semidirect
412. #13133196	C₂³	semidirect
413. #13133196	C₂³	semidirect
414. #13133195	C₂³	semidirect
415. #13133195	C₂³	semidirect
416. #13133195	C₂³	semidirect
417. #13133195	C₂³	semidirect
418. #13133195	C₂³	semidirect
419. #13133195	C₂³	semidirect
426. #13133194	C₂³	semidirect
427. #13133194	C₂³	semidirect
428. #13133194	C₂³	semidirect
429. #13133194	C₂³	semidirect
430. #13133193	C₂³	semidirect
431. #13133193	C₂³	semidirect
432. #13133193	C₂³	semidirect
433. #13133193	C₂³	semidirect
434. #13133192	C₂³	semidirect
435. #13133192	C₂³	semidirect
436. #13133192	C₂³	semidirect
443. #13133191	C₂³	semidirect
444. #13133191	C₂³	semidirect
445. #13133191	C₂³	semidirect
446. #13133191	C₂³	semidirect
447. #13133191	C₂³	semidirect
452. #13133190	C₂³	semidirect
453. #13133190	C₂³	semidirect
454. #13133190	C₂³	semidirect
455. #13133190	C₂³	semidirect
466. #13133189	C₂³	semidirect
467. #13133189	C₂³	semidirect
468. #13133189	C₂³	semidirect
469. #13133189	C₂³	semidirect
472. #13133188	C₂³	semidirect
473. #13133188	C₂³	semidirect
474. #13133188	C₂³	semidirect
475. #13133188	C₂³	semidirect
480. #13133187	C₂³	semidirect
486. #13133186	C₂³	semidirect
492. #13133185	C₂³	semidirect
493. #13133185	C₂³	semidirect
494. Q₈×Dic₅₃	C₂³	semidirect
495. Q₈×Dic₅₃	C₂³	semidirect
496. C₄×Dic₁₀₆	C₂³	semidirect
497. C₄×Dic₁₀₆	C₂³	semidirect
498. C₄×Dic₁₀₆	C₂³	semidirect
499. #13133182	C₂³	semidirect
500. #13133182	C₂³	semidirect
501. #13133182	C₂³	semidirect
502. #13133182	C₂³	semidirect
503. #13133182	C₂³	semidirect
504. C₄×D₂₁₂	C₂³	semidirect
505. C₄×D₂₁₂	C₂³	semidirect
506. C₄×D₂₁₂	C₂³	semidirect
513. D₄×Dic₅₃	C₂³	semidirect
514. D₄×Dic₅₃	C₂³	semidirect
515. D₄×Dic₅₃	C₂³	semidirect
516. D₄×Dic₅₃	C₂³	semidirect
517. #13133179	C₂³	semidirect
518. #13133179	C₂³	semidirect
519. #13133179	C₂³	semidirect
520. #13133179	C₂³	semidirect
521. #13133179	C₂³	semidirect
560. C₄×C₂²⋊D₅₃	C₂³	semidirect
561. C₄×C₂²⋊D₅₃	C₂³	semidirect
562. C₄×C₂²⋊D₅₃	C₂³	semidirect
563. C₄×C₂²⋊D₅₃	C₂³	semidirect
564. C₄×C₂²⋊D₅₃	C₂³	semidirect
565. C₄×C₂²⋊D₅₃	C₂³	semidirect
566. C₄×C₂²⋊D₅₃	C₂³	semidirect
567. C₄×C₂²⋊D₅₃	C₂³	semidirect
568. C₄×C₂²⋊D₅₃	C₂³	semidirect
569. C₄×C₂²⋊D₅₃	C₂³	semidirect
570. C₄×C₂²⋊D₅₃	C₂³	semidirect
571. C₄×C₂²⋊D₅₃	C₂³	semidirect
580. #13133177	C₂³	semidirect
581. #13133177	C₂³	semidirect
582. #13133177	C₂³	semidirect
583. #13133177	C₂³	semidirect
584. #13133177	C₂³	semidirect
585. #13133177	C₂³	semidirect
588. #13133176	C₂³	semidirect
589. #13133176	C₂³	semidirect
590. #13133176	C₂³	semidirect
591. #13133176	C₂³	semidirect
592. #13133175	C₂³	semidirect
593. #13133175	C₂³	semidirect
594. #13133175	C₂³	semidirect
595. #13133175	C₂³	semidirect
596. #13133175	C₂³	semidirect
597. #13133174	C₂³	semidirect
598. #13133174	C₂³	semidirect
599. #13133174	C₂³	semidirect
600. #13133174	C₂³	semidirect
604. #13133173	C₂³	semidirect
605. #13133173	C₂³	semidirect
606. #13133173	C₂³	semidirect
607. #13133173	C₂³	semidirect
608. C₂×C₄⋊Dic₅₃	C₂³	semidirect
609. C₂×C₄⋊Dic₅₃	C₂³	semidirect
618. C₂×#11719919	C₂³	semidirect
619. C₂×#11719919	C₂³	semidirect
620. C₂×#11719919	C₂³	semidirect
621. C₄⋊C₄×D₅₃	C₂³	semidirect
622. C₄⋊C₄×D₅₃	C₂³	semidirect
623. C₄⋊C₄×D₅₃	C₂³	semidirect
624. C₄⋊C₄×D₅₃	C₂³	semidirect
625. C₄⋊C₄×D₅₃	C₂³	semidirect
637. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
646. C₂×#11719921	C₂³	semidirect
647. C₂×#11719921	C₂³	semidirect
648. C₂×#11719921	C₂³	semidirect
652. C₂²⋊C₄×D₅₃	C₂³	semidirect
653. C₂²⋊C₄×D₅₃	C₂³	semidirect
654. C₂²⋊C₄×D₅₃	C₂³	semidirect
655. C₂²⋊C₄×D₅₃	C₂³	semidirect
664. C₂×C₄×Dic₅₃	C₂³	semidirect
665. C₂×C₄×Dic₅₃	C₂³	semidirect
666. C₄²×D₅₃	C₂³	semidirect
667. C₄²×D₅₃	C₂³	semidirect
672. C₂×#41×C₅₃	C₂³	semidirect
673. C₂×#41×C₅₃	C₂³	semidirect
674. C₂²×Q₈×C₅₃	C₂³	semidirect
678. C₂²×D₄×C₅₃	C₂³	semidirect
694. C₂³×C₄×C₅₃	C₂³	semidirect
697. #123×C₅₃	C₂³	semidirect
698. #123×C₅₃	C₂³	semidirect
703. C₂²⋊Q₈×C₅₃	C₂³	semidirect
704. C₂²⋊Q₈×C₅₃	C₂³	semidirect
705. C₂²⋊Q₈×C₅₃	C₂³	semidirect
706. C₂²⋊Q₈×C₅₃	C₂³	semidirect
711. #121×C₅₃	C₂³	semidirect
712. #121×C₅₃	C₂³	semidirect
713. #121×C₅₃	C₂³	semidirect
714. #121×C₅₃	C₂³	semidirect
723. C₄×D₄×C₅₃	C₂³	semidirect
724. C₄×D₄×C₅₃	C₂³	semidirect
725. C₄×D₄×C₅₃	C₂³	semidirect
726. C₄×D₄×C₅₃	C₂³	semidirect
729. #117×C₅₃	C₂³	semidirect
730. #117×C₅₃	C₂³	semidirect
731. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
732. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
733. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
734. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
739. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
740. C₂×C₄²×C₅₃	C₂³	semidirect
839. C₂×C₂²⋊D₅₃	#41	semidirect
1075. C₂³×C₅₃	C₂×#41	semidirect
1102. C₂²×D₅₃	C₂×#41	semidirect
1148. C₂×C₄×C₅₃	H(5,𝔽₂)	semidirect
1178. C₂²⋊D₅₃	C₂×#41	semidirect
1179. C₂²⋊D₅₃	C₂×#41	semidirect
1197. C₂×Dic₅₃	C₂×#41	semidirect
1330. C₂×#525	D₅₃	semidirect
1350. C₂²×#41	C₂×D₅₃	semidirect
1353. C₂⁴×C₄	C₂×D₅₃	semidirect
1510. #525	C₂×D₅₃	semidirect
1511. #525	C₂×D₅₃	semidirect
1512. #525	C₂×D₅₃	semidirect
1513. #525	C₂×D₅₃	semidirect
1514. #525	C₂×D₅₃	semidirect
1515. #525	C₂×D₅₃	semidirect
1516. #525	C₂×D₅₃	semidirect
1517. #525	C₂×D₅₃	semidirect
1520. C₂×#123	C₂×D₅₃	semidirect
1525. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1526. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1531. C₂×#121	C₂×D₅₃	semidirect
1532. C₂×#121	C₂×D₅₃	semidirect
1535. C₂×#120	C₂×D₅₃	semidirect
1573. C₂×C₄×D₄	C₂×D₅₃	semidirect
1574. C₂×C₄×D₄	C₂×D₅₃	semidirect
1577. C₂×#117	C₂×D₅₃	semidirect
1582. C₅₃	#62773	semidirect
1603. C₂×#41	C₂²×D₅₃	semidirect
1604. C₂×#41	C₂²×D₅₃	semidirect
1607. C₂²×Q₈	C₂²×D₅₃	semidirect
1630. C₂²×D₄	C₂²×D₅₃	semidirect
1660. C₂³×C₄	C₂²×D₅₃	semidirect
1745. #123	C₂²×D₅₃	semidirect
1746. #123	C₂²×D₅₃	semidirect
1785. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1786. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1787. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1788. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1835. #121	C₂²×D₅₃	semidirect
1836. #121	C₂²×D₅₃	semidirect
1837. #121	C₂²×D₅₃	semidirect
1838. #121	C₂²×D₅₃	semidirect
1957. C₄×D₄	C₂²×D₅₃	semidirect
1958. C₄×D₄	C₂²×D₅₃	semidirect
1959. C₄×D₄	C₂²×D₅₃	semidirect
1960. C₄×D₄	C₂²×D₅₃	semidirect
1985. #117	C₂²×D₅₃	semidirect
1986. #117	C₂²×D₅₃	semidirect
2005. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2006. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2007. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2008. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2042. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2043. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2056. C₂×C₄²	C₂²×D₅₃	semidirect
2413. C₂³	#41×D₅₃	semidirect
2537. C₂×C₄	#13133262	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288758	2
#20288752	2
#20288741	2
#20288735	2
#20288647	2
#20288641	2
#20288558	2
#20288556	2
#20288549	2
#20288543	2
#20288511	2
#20288472	2
#20288416	2
#20288402	2
#20288398	2
#20288344	2
#20288319	2
#20288317	2
#20288275	2
#20288269	2
#41×C₂²⋊D₅₃	2
#20288198	2
#20288133	2
#20288124	2
#20288122	2
#20288007	2
C₂×#16811134	2
#525×D₅₃	2
C₄×#13133262	2
C₂²×C₄×C₂²⋊D₅₃	2
C₂×C₅₃×#525	2
#62773	53