Subgroups — #27591687

Order 13568.

2146 conjugacy classes of subgroups.

The subgroup lattice has 1602 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20283002	C₂	1	1	yes	maximal, characteristic, complemented
2	#20282657	C₂	1	1	yes	maximal, characteristic, complemented
3	#20282414	C₂	1	1	yes	maximal, characteristic, complemented
4	#20282412	C₂	1	1	yes	maximal, characteristic, complemented
5	#20282363	C₂	1	1	yes	maximal, characteristic, complemented
6	#20282361	C₂	1	1	yes	maximal, characteristic, complemented
7	#20282359	C₂	1	1	yes	maximal, characteristic, complemented
8	#20282358	C₂	1	1	yes	maximal, characteristic, complemented
9	#20281925	C₂	1	1	yes	maximal, characteristic, complemented
10	#20281924	C₂	1	1	yes	maximal, characteristic, complemented
11	#20281734	C₂	1	1	yes	maximal, characteristic, complemented
12	#20281730	C₂	1	1	yes	maximal, characteristic, complemented
13	#20281214	C₂	1	1	yes	maximal, characteristic, complemented
14	#20281211	C₂	1	1	yes	maximal, characteristic, complemented
15	#20281207	C₂	1	1	yes	maximal, characteristic, complemented
16	#20281205	C₂	1	1	yes	maximal, characteristic, complemented
17	#20281085	C₂	1	1	yes	maximal, characteristic, complemented
18	#20280524	C₂	1	1	yes	maximal, characteristic, complemented
19	#20280524	C₂	1	1	yes	maximal, characteristic, complemented
20	#20278397	C₂	1	1	yes	maximal, characteristic, complemented
21	#20278395	C₂	1	1	yes	maximal, characteristic, complemented
22	#20278389	C₂	1	1	yes	maximal, characteristic, complemented
23	#20278387	C₂	1	1	yes	maximal, characteristic, complemented
24	#20278383	C₂	1	1	yes	maximal, characteristic, complemented
25	#20278380	C₂	1	1	yes	maximal, characteristic, complemented
26	#20278379	C₂	1	1	yes	maximal, characteristic, complemented
27	#20278378	C₂	1	1	yes	maximal, characteristic, complemented
28	#20277296	C₂	1	1	yes	maximal, characteristic
29	#20277291	C₂	1	1	yes	maximal, characteristic
30	C₂×#16810502	C₂	1	1	yes	maximal, characteristic
31	C₅₃×#2848	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic
33	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13133196	C₂²	1	1	yes	characteristic
35	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
36	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13133195	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13133194	C₂²	1	1	yes	characteristic
40	C₂×#13133194	C₂²	1	1	yes	characteristic
41	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13133173	C₂²	1	1	yes	characteristic
43	C₂×#13133173	C₂²	1	1	yes	characteristic
44	C₂²×C₂²⋊Dic₅₃	C₂²	1	1	yes	characteristic
45	C₂²×#11719921	C₂²	1	1	yes	characteristic
46	C₂²×#11719921	C₂²	1	1	yes	characteristic
47	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
48	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
49	#16810564	C₂²	1	1	yes	characteristic, complemented
50	#16810564	C₂²	1	1	yes	characteristic, complemented
51	#16810563	C₂²	1	1	yes	characteristic, complemented
52	#16810561	C₂²	1	1	yes	characteristic, complemented
53	#16810560	C₂²	1	1	yes	characteristic, complemented
54	#16810559	C₂²	1	1	yes	characteristic, complemented
55	#16810559	C₂²	1	1	yes	characteristic, complemented
56	#16810559	C₂²	1	1	yes	characteristic, complemented
57	#16810559	C₂²	1	1	yes	characteristic, complemented
58	#16810558	C₂²	1	1	yes	characteristic, complemented
59	#16810558	C₂²	1	1	yes	characteristic, complemented
60	#16810558	C₂²	1	1	yes	characteristic, complemented
61	#16810557	C₂²	1	1	yes	characteristic, complemented
62	#16810557	C₂²	1	1	yes	characteristic, complemented
63	#16810556	C₂²	1	1	yes	characteristic, complemented
64	#16810556	C₂²	1	1	yes	characteristic, complemented
65	#16810554	C₂²	1	1	yes	characteristic, complemented
66	#16810554	C₂²	1	1	yes	characteristic, complemented
67	#16810553	C₂²	1	1	yes	characteristic, complemented
68	#16810553	C₂²	1	1	yes	characteristic, complemented
69	#16810547	C₂²	1	1	yes	characteristic, complemented
70	#16810547	C₂²	1	1	yes	characteristic, complemented
71	#16810546	C₂²	1	1	yes	characteristic, complemented
72	#16810546	C₂²	1	1	yes	characteristic, complemented
73	#16810546	C₂²	1	1	yes	characteristic, complemented
74	#16810546	C₂²	1	1	yes	characteristic, complemented
75	#16810546	C₂²	1	1	yes	characteristic, complemented
76	#16810546	C₂²	1	1	yes	characteristic, complemented
77	#16810546	C₂²	1	1	yes	characteristic, complemented
78	#16810546	C₂²	1	1	yes	characteristic, complemented
79	#16810545	C₂²	1	1	yes	characteristic, complemented
80	#16810545	C₂²	1	1	yes	characteristic, complemented
81	#16810545	C₂²	1	1	yes	characteristic, complemented
82	#16810545	C₂²	1	1	yes	characteristic, complemented
83	#16810545	C₂²	1	1	yes	characteristic, complemented
84	#16810545	C₂²	1	1	yes	characteristic, complemented
85	#16810544	C₂²	1	1	yes	characteristic, complemented
86	#16810543	C₂²	1	1	yes	characteristic, complemented
87	#16810543	C₂²	1	1	yes	characteristic, complemented
88	#16810542	C₂²	1	1	yes	characteristic, complemented
89	#16810536	C₂²	1	1	yes	characteristic, complemented
90	#16810536	C₂²	1	1	yes	characteristic, complemented
91	#16810536	C₂²	1	1	yes	characteristic, complemented
92	#16810535	C₂²	1	1	yes	characteristic, complemented
93	#16810535	C₂²	1	1	yes	characteristic, complemented
94	#16810535	C₂²	1	1	yes	characteristic, complemented
95	#16810535	C₂²	1	1	yes	characteristic, complemented
96	#16810534	C₂²	1	1	yes	characteristic, complemented
97	#16810530	C₂²	1	1	yes	characteristic, complemented
98	#16810528	C₂²	1	1	yes	characteristic, complemented
99	#16810527	C₂²	1	1	yes	characteristic, complemented
100	#16810527	C₂²	1	1	yes	characteristic, complemented
101	#16810523	C₂²	1	1	yes	characteristic
102	#16810523	C₂²	1	1	yes	characteristic
103	#16810523	C₂²	1	1	yes	characteristic
104	#16810523	C₂²	1	1	yes	characteristic
105	#16810523	C₂²	1	1	yes	characteristic
106	#16810523	C₂²	1	1	yes	characteristic
107	#16810523	C₂²	1	1	yes	characteristic
108	#16810523	C₂²	1	1	yes	characteristic
109	#16810522	C₂²	1	1	yes	characteristic, complemented
110	#16810519	C₂²	1	1	yes	characteristic, complemented
111	#16810518	C₂²	1	1	yes	characteristic, complemented
112	#16810518	C₂²	1	1	yes	characteristic, complemented
113	#16810509	C₂²	1	1	yes	characteristic, complemented
114	#16810509	C₂²	1	1	yes	characteristic, complemented
115	#16810508	C₂²	1	1	yes	characteristic, complemented
116	#16810508	C₂²	1	1	yes	characteristic, complemented
117	#16810505	C₂²	1	1	yes	characteristic, complemented
118	#16810505	C₂²	1	1	yes	characteristic, complemented
119	#16810504	C₂²	1	1	yes	characteristic, complemented
120	#16810504	C₂²	1	1	yes	characteristic, complemented
121	#16810502	C₂²	1	1	yes	characteristic
122	#16810502	C₂²	1	1	yes	characteristic
123	#16810502	C₂²	1	1	yes	characteristic
124	#16810502	C₂²	1	1	yes	characteristic
125	#16810502	C₂²	1	1	yes	characteristic
126	#16810502	C₂²	1	1	yes	characteristic
127	#16810502	C₂²	1	1	yes	characteristic
128	#16810502	C₂²	1	1	yes	characteristic
129	#16810499	C₂²	1	1	yes	characteristic
130	#16810499	C₂²	1	1	yes	characteristic
131	#16810499	C₂²	1	1	yes	characteristic
132	#16810499	C₂²	1	1	yes	characteristic
133	#16810499	C₂²	1	1	yes	characteristic
134	#16810499	C₂²	1	1	yes	characteristic
135	#16810499	C₂²	1	1	yes	characteristic
136	#16810499	C₂²	1	1	yes	characteristic
137	#16810498	C₂²	1	1	yes	characteristic
138	#16810498	C₂²	1	1	yes	characteristic
139	#16810497	C₂²	1	1	yes	characteristic, complemented
140	#16810497	C₂²	1	1	yes	characteristic, complemented
141	#16810497	C₂²	1	1	yes	characteristic, complemented
142	#16810497	C₂²	1	1	yes	characteristic, complemented
143	#16810496	C₂²	1	1	yes	characteristic
144	#16810496	C₂²	1	1	yes	characteristic
145	#16810496	C₂²	1	1	yes	characteristic, complemented
146	#16810496	C₂²	1	1	yes	characteristic, complemented
147	#16810496	C₂²	1	1	yes	characteristic, complemented
148	#16810496	C₂²	1	1	yes	characteristic, complemented
149	#16810495	C₂²	1	1	yes	characteristic
150	#16810495	C₂²	1	1	yes	characteristic
151	#16810494	C₂²	1	1	yes	characteristic, complemented
152	#16810494	C₂²	1	1	yes	characteristic, complemented
153	#16810494	C₂²	1	1	yes	characteristic, complemented
154	#16810494	C₂²	1	1	yes	characteristic, complemented
155	#16810484	C₂²	1	1	yes	characteristic
156	#16810484	C₂²	1	1	yes	characteristic
157	#16810483	C₂²	1	1	yes	characteristic
158	#16810483	C₂²	1	1	yes	characteristic, complemented
159	#16810483	C₂²	1	1	yes	characteristic, complemented
160	#16810482	C₂²	1	1	yes	characteristic, complemented
161	#16810482	C₂²	1	1	yes	characteristic, complemented
162	#16810481	C₂²	1	1	yes	characteristic
163	#16810481	C₂²	1	1	yes	characteristic
164	#16810480	C₂²	1	1	yes	characteristic, complemented
165	#16810480	C₂²	1	1	yes	characteristic, complemented
166	#16810479	C₂²	1	1	yes	characteristic
167	#16810479	C₂²	1	1	yes	characteristic
168	#16810478	C₂²	1	1	yes	characteristic
169	#16810478	C₂²	1	1	yes	characteristic
170	C₂×#13133124	C₂²	1	1	yes	characteristic
171	C₂×#13133124	C₂²	1	1	yes	characteristic
172	C₂⁴×C₄×C₅₃	C₂²	1	1	yes	characteristic
173	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic
174	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
175	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
176	C₅₃×#385	C₂²	1	1	yes	characteristic
177	C₅₃×#385	C₂²	1	1	yes	characteristic
178	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
179	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#385	C₂²	1	1	yes	characteristic, complemented
182	C₅₃×#380	C₂²	1	1	yes	characteristic
183	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
184	C₅₃×#380	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#379	C₂²	1	1	yes	characteristic
186	C₅₃×#379	C₂²	1	1	yes	characteristic
187	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
188	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
189	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
190	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₅₃	—	4	2	no	—
192	C₂²×C₂²⋊D₅₃	—	4	2	no	—
193	C₂²×C₂²⋊D₅₃	Q₈	1	8	yes	complemented
194	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
199	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
200	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
205	#13133197	—	4	2	no	—
206	#13133196	—	4	2	no	—
207	#13133196	—	4	2	no	—
208	#13133196	—	4	2	no	—
209	#13133195	—	4	2	no	—
210	#13133195	—	4	2	no	—
211	#13133194	—	4	2	no	—
212	#13133194	—	4	2	no	—
213	#13133193	—	4	2	no	—
214	#13133173	—	4	2	no	—
215	#13133173	—	4	2	no	—
216	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
217	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
220	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
225	C₂×#11719919	C₂³	1	1	yes	characteristic
226	C₂×#11719919	C₂³	1	1	yes	characteristic
227	C₂×#11719919	C₂³	1	1	yes	characteristic
228	C₂×#11719919	C₂³	1	1	yes	characteristic
229	C₂×#11719919	C₂³	1	1	yes	characteristic
230	C₂×#11719919	C₂³	1	1	yes	characteristic
231	C₂×#11719919	C₂³	1	1	yes	characteristic
232	C₂×#11719919	C₂³	1	1	yes	characteristic
233	C₂×#11719919	C₂³	1	1	yes	characteristic
234	C₂×#11719919	C₂³	1	1	yes	characteristic
235	C₂×#11719919	C₂³	1	1	yes	characteristic
236	C₂×#11719919	C₂³	1	1	yes	characteristic
237	C₂×#11719919	C₂³	1	1	yes	characteristic
238	C₂×#11719919	C₂³	1	1	yes	characteristic
239	C₂×#11719919	C₂³	1	1	yes	characteristic
240	C₂×#11719919	C₂³	1	1	yes	characteristic
241	C₂×#11719919	C₂³	1	1	yes	characteristic
242	C₂×#11719919	C₂³	1	1	yes	characteristic
243	C₂×#11719919	C₂³	1	1	yes	characteristic
244	C₂×#11719919	C₂³	1	1	yes	characteristic
245	C₂×#11719919	C₂³	1	1	yes	characteristic
246	C₂×#11719919	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₅₃	—	4	2	no	—
248	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
264	C₂×#11719921	—	4	2	no	—
265	C₂×#11719921	—	4	2	no	—
266	C₂×#11719921	C₂³	1	1	yes	characteristic
267	C₂×#11719921	C₂³	1	1	yes	characteristic
268	C₂×#11719921	C₂³	1	1	yes	characteristic
269	C₂×#11719921	C₂³	1	1	yes	characteristic
270	C₂×#11719921	C₂³	1	1	yes	characteristic
271	C₂×#11719921	C₂³	1	1	yes	characteristic
272	C₂×#11719921	C₂³	1	1	yes	characteristic
273	C₂×#11719921	C₂³	1	1	yes	characteristic
274	C₂×#11719921	C₂³	1	1	yes	characteristic
275	C₂×#11719921	C₂³	1	1	yes	characteristic
276	C₂×#11719921	C₂³	1	1	yes	characteristic
277	C₂×#11719921	C₂³	1	1	yes	characteristic
278	C₂×#11719921	C₂³	1	1	yes	characteristic
279	C₂×#11719921	C₂³	1	1	yes	characteristic
280	C₂×#11719921	C₂³	1	1	yes	characteristic
281	C₂×#11719921	C₂³	1	1	yes	characteristic
282	C₂×#11719921	C₂³	1	1	yes	characteristic
283	C₂×#11719921	C₂³	1	1	yes	characteristic
284	C₂×#11719921	C₂³	1	1	yes	characteristic
285	C₂×#11719921	C₂³	1	1	yes	characteristic
286	C₂²⋊C₄×D₅₃	—	4	2	no	—
287	C₂²⋊C₄×D₅₃	—	4	2	no	—
288	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic
292	#13133124	C₂³	1	1	yes	characteristic
293	#13133124	C₂³	1	1	yes	characteristic
294	#13133124	C₂³	1	1	yes	characteristic
295	#13133124	C₂³	1	1	yes	characteristic
296	#13133124	C₂³	1	1	yes	characteristic
297	#13133124	C₂³	1	1	yes	characteristic
298	#13133124	C₂³	1	1	yes	characteristic
299	#13133124	C₂³	1	1	yes	characteristic
300	#13133124	C₂³	1	1	yes	characteristic
301	#13133124	C₂³	1	1	yes	characteristic
302	#13133124	C₂³	1	1	yes	characteristic
303	#13133124	C₂³	1	1	yes	characteristic
304	#13133124	C₂³	1	1	yes	characteristic
305	#13133124	C₂³	1	1	yes	characteristic
306	#13133124	C₂³	1	1	yes	characteristic
307	#13133124	C₂³	1	1	yes	characteristic
308	#13133124	C₂³	1	1	yes	characteristic
309	#13133124	C₂³	1	1	yes	characteristic
310	#13133124	C₂³	1	1	yes	characteristic
311	#13133124	C₂³	1	1	yes	characteristic
312	#13133124	C₂³	1	1	yes	characteristic
313	#13133124	C₂³	1	1	yes	characteristic
314	#13133124	C₂³	1	1	yes	characteristic
315	#13133124	C₂³	1	1	yes	characteristic
316	#13133124	C₂³	1	1	yes	characteristic
317	#13133124	C₂³	1	1	yes	characteristic
318	#13133124	C₂³	1	1	yes	characteristic
319	#13133124	C₂³	1	1	yes	characteristic
320	#13133124	C₂³	1	1	yes	characteristic
321	#13133124	C₂³	1	1	yes	characteristic
322	#13133124	C₂³	1	1	yes	characteristic
323	#13133124	C₂³	1	1	yes	characteristic
324	#13133124	C₂³	1	1	yes	characteristic
325	#13133124	C₂³	1	1	yes	characteristic
326	C₂⁵×C₅₃	C₂³	1	1	yes	characteristic
327	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₅₃	—	4	2	no	—
329	C₂³×C₄×C₅₃	—	4	2	no	—
330	C₂³×C₄×C₅₃	—	4	2	no	—
331	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
337	C₂²⋊Q₈×C₅₃	—	4	2	no	—
338	C₂²⋊Q₈×C₅₃	—	4	2	no	—
339	C₂²⋊Q₈×C₅₃	—	4	2	no	—
340	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
347	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
361	#95×C₅₃	C₂³	1	1	yes	characteristic
362	#95×C₅₃	C₂³	1	1	yes	characteristic
363	#95×C₅₃	C₂³	1	1	yes	characteristic
364	#95×C₅₃	C₂³	1	1	yes	characteristic
365	#95×C₅₃	C₂³	1	1	yes	characteristic
366	#95×C₅₃	C₂³	1	1	yes	characteristic
367	C₂⁴×C₅₃	—	2	2	no	—
368	C₂⁴×C₅₃	—	2	2	no	—
369	C₂⁴×C₅₃	—	4	1	no	—
370	C₂⁴×C₅₃	—	4	1	no	—
371	C₂⁴×C₅₃	—	4	1	no	—
372	C₂⁴×C₅₃	—	4	1	no	—
373	C₂⁴×C₅₃	C₂×Q₈	1	4	yes	—
374	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
375	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
377	C₂³×D₅₃	—	2	2	no	—
378	C₂³×D₅₃	—	2	2	no	—
379	C₂³×D₅₃	—	4	1	no	—
380	C₂³×D₅₃	—	4	1	no	—
381	C₂³×D₅₃	—	4	1	no	—
382	C₂³×D₅₃	—	4	1	no	—
383	C₂³×D₅₃	C₂×Q₈	1	4	yes	—
384	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
385	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
386	C₂×Q₈×C₅₃	—	2	2	no	—
387	C₂×Q₈×C₅₃	—	4	1	no	—
388	C₂×Q₈×C₅₃	—	4	1	no	—
389	C₂²×C₄×C₅₃	—	2	2	no	—
390	C₂²×C₄×C₅₃	—	2	2	no	—
391	C₂²×C₄×C₅₃	—	2	2	no	—
392	C₂²×C₄×C₅₃	—	2	2	no	—
393	C₂²×C₄×C₅₃	—	2	2	no	—
394	C₂²×C₄×C₅₃	—	2	2	no	—
395	C₂²×C₄×C₅₃	—	2	2	no	—
396	C₂²×C₄×C₅₃	—	2	2	no	—
397	C₂²×C₄×C₅₃	—	4	1	no	—
398	C₂²×C₄×C₅₃	—	4	1	no	—
399	C₂²×C₄×C₅₃	—	4	1	no	—
400	C₂²×C₄×C₅₃	—	4	1	no	—
401	C₂²×C₄×C₅₃	—	4	1	no	—
402	C₂²×C₄×C₅₃	—	4	1	no	—
403	C₂²×C₄×C₅₃	—	4	1	no	—
404	C₂²×C₄×C₅₃	—	4	1	no	—
405	C₂²×C₄×C₅₃	—	4	1	no	—
406	C₂²×C₄×C₅₃	—	4	1	no	—
407	C₂²×C₄×C₅₃	—	4	16	no	—
408	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
420	C₂×C₂²⋊D₅₃	—	4	16	no	—
421	C₂×C₂²⋊D₅₃	—	4	1	no	—
422	C₂×C₂²⋊D₅₃	—	4	1	no	—
423	C₂×C₂²⋊D₅₃	—	4	1	no	—
424	C₂×C₂²⋊D₅₃	—	4	1	no	—
425	C₂×C₂²⋊D₅₃	—	4	1	no	—
426	C₂×C₂²⋊D₅₃	—	4	1	no	—
427	C₂×C₂²⋊D₅₃	—	4	1	no	—
428	C₂×C₂²⋊D₅₃	—	4	1	no	—
429	C₂×C₂²⋊D₅₃	C₂×Q₈	1	4	yes	—
430	C₂×C₂²⋊D₅₃	C₂×Q₈	1	4	yes	—
431	C₂×C₂²⋊D₅₃	C₂×Q₈	1	4	yes	—
432	C₂×C₂²⋊D₅₃	C₂×Q₈	1	4	yes	—
433	C₂²×Dic₅₃	—	2	2	no	—
434	C₂²×Dic₅₃	—	2	2	no	—
435	C₂²×Dic₅₃	—	2	2	no	—
436	C₂²×Dic₅₃	—	2	2	no	—
437	C₂²×Dic₅₃	—	4	1	no	—
438	C₂²×Dic₅₃	—	4	1	no	—
439	C₂²×Dic₅₃	—	4	1	no	—
440	C₂²×Dic₅₃	—	4	1	no	—
441	C₂²×Dic₅₃	C₂×Q₈	1	4	yes	—
442	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×D₅₃	—	4	1	no	—
457	C₂×C₄×D₅₃	—	4	1	no	—
458	C₂×C₄×D₅₃	—	4	1	no	—
459	C₂×C₄×D₅₃	—	4	1	no	—
460	C₂×C₄×D₅₃	—	4	1	no	—
461	C₂×C₄×D₅₃	—	4	1	no	—
462	C₂×C₄×D₅₃	—	4	1	no	—
463	C₂×C₄×D₅₃	—	4	1	no	—
464	C₂×C₄×D₅₃	—	4	1	no	—
465	C₂×C₄×D₅₃	—	4	1	no	—
466	C₂×C₄×D₅₃	—	4	1	no	—
467	C₂×C₄×D₅₃	—	4	1	no	—
468	C₂×Dic₁₀₆	—	2	2	no	—
469	C₂×Dic₁₀₆	—	4	1	no	—
470	C₂×Dic₁₀₆	—	4	1	no	—
471	C₂×Dic₁₀₆	—	4	1	no	—
472	C₂×Dic₁₀₆	—	4	1	no	—
473	C₂×Dic₁₀₆	—	4	1	no	—
474	C₂×Dic₁₀₆	—	4	1	no	—
475	C₂×Dic₁₀₆	—	4	1	no	—
476	C₂×Dic₁₀₆	—	4	1	no	—
477	C₄⋊C₄×C₅₃	—	2	2	no	—
478	C₄⋊C₄×C₅₃	—	2	2	no	—
479	C₄⋊C₄×C₅₃	—	2	2	no	—
480	C₄⋊C₄×C₅₃	—	4	1	no	—
481	C₄⋊C₄×C₅₃	—	4	1	no	—
482	C₄⋊C₄×C₅₃	—	4	1	no	—
483	C₄⋊C₄×C₅₃	—	4	1	no	—
484	C₄⋊C₄×C₅₃	—	4	1	no	—
485	C₄⋊C₄×C₅₃	—	4	1	no	—
486	C₂²⋊C₄×C₅₃	—	2	2	no	—
487	C₂²⋊C₄×C₅₃	—	2	2	no	—
488	C₂²⋊C₄×C₅₃	—	2	2	no	—
489	C₂²⋊C₄×C₅₃	—	2	2	no	—
490	C₂²⋊C₄×C₅₃	—	4	1	no	—
491	C₂²⋊C₄×C₅₃	—	4	1	no	—
492	C₂²⋊C₄×C₅₃	—	4	1	no	—
493	C₂²⋊C₄×C₅₃	—	4	1	no	—
494	C₂²⋊C₄×C₅₃	—	4	1	no	—
495	C₂²⋊C₄×C₅₃	—	4	1	no	—
496	C₂²⋊C₄×C₅₃	—	4	1	no	—
497	C₂²⋊C₄×C₅₃	—	4	1	no	—
498	C₂²⋊Dic₅₃	—	2	2	no	—
499	C₂²⋊Dic₅₃	—	2	2	no	—
500	C₂²⋊Dic₅₃	—	2	2	no	—
501	C₂²⋊Dic₅₃	—	2	2	no	—
502	C₂²⋊Dic₅₃	—	4	1	no	—
503	C₂²⋊Dic₅₃	—	4	1	no	—
504	C₂²⋊Dic₅₃	—	4	1	no	—
505	C₂²⋊Dic₅₃	—	4	1	no	—
506	C₂²⋊Dic₅₃	—	4	1	no	—
507	C₂²⋊Dic₅₃	—	4	1	no	—
508	C₂²⋊Dic₅₃	—	4	1	no	—
509	C₂²⋊Dic₅₃	—	4	1	no	—
510	C₂²⋊Dic₅₃	—	4	1	no	—
511	C₂²⋊Dic₅₃	—	4	1	no	—
512	C₂²⋊Dic₅₃	—	4	1	no	—
513	C₂²⋊Dic₅₃	—	4	1	no	—
514	#11719921	—	2	2	no	—
515	#11719921	—	2	2	no	—
516	#11719921	—	2	2	no	—
517	#11719921	—	2	2	no	—
518	#11719921	—	4	1	no	—
519	#11719921	—	4	1	no	—
520	#11719921	—	4	1	no	—
521	#11719921	—	4	1	no	—
522	#11719921	—	4	1	no	—
523	#11719921	—	4	1	no	—
524	#11719921	—	4	1	no	—
525	#11719921	—	4	1	no	—
526	#11719921	—	4	1	no	—
527	#11719921	—	4	1	no	—
528	#11719921	—	4	1	no	—
529	#11719921	—	4	1	no	—
530	#11719921	—	4	1	no	—
531	#11719921	—	4	1	no	—
532	#11719921	—	4	1	no	—
533	#11719921	—	4	1	no	—
534	C₄⋊Dic₅₃	—	2	2	no	—
535	C₄⋊Dic₅₃	—	4	1	no	—
536	C₄⋊Dic₅₃	—	4	1	no	—
537	C₄⋊Dic₅₃	—	4	1	no	—
538	C₄⋊Dic₅₃	—	4	1	no	—
539	C₄⋊Dic₅₃	—	4	1	no	—
540	C₄⋊Dic₅₃	—	4	1	no	—
541	C₄⋊Dic₅₃	—	4	1	no	—
542	C₄⋊Dic₅₃	—	4	1	no	—
543	#11719919	—	2	2	no	—
544	#11719919	—	2	2	no	—
545	#11719919	—	4	1	no	—
546	#11719919	—	4	1	no	—
547	#11719919	—	4	1	no	—
548	#11719919	—	4	1	no	—
549	#11719919	—	4	1	no	—
550	#11719919	—	4	1	no	—
551	#11719919	—	4	1	no	—
552	#11719919	—	4	1	no	—
553	#11719919	—	4	1	no	—
554	#11719919	—	4	1	no	—
555	#11719919	—	4	1	no	—
556	#11719919	—	4	1	no	—
557	#11719919	—	4	1	no	—
558	#11719919	—	4	1	no	—
559	#11719919	—	4	1	no	—
560	#11719919	—	4	1	no	—
561	#11719919	—	4	1	no	—
562	#11719919	—	4	1	no	—
563	#11719919	—	4	1	no	—
564	#11719919	—	4	1	no	—
565	C₄×Dic₅₃	—	4	1	no	—
566	C₄×Dic₅₃	—	4	1	no	—
567	C₄×Dic₅₃	—	4	1	no	—
568	C₄×Dic₅₃	—	4	1	no	—
569	C₂³×C₅₃	—	2	1	no	—
570	C₂³×C₅₃	—	2	1	no	—
571	C₂³×C₅₃	—	2	1	no	—
572	C₂³×C₅₃	—	2	1	no	—
573	C₂³×C₅₃	—	2	8	no	—
574	C₂³×C₅₃	—	2	1	no	—
575	C₂³×C₅₃	—	2	1	no	—
576	C₂³×C₅₃	—	2	1	no	—
577	C₂³×C₅₃	—	2	1	no	—
578	C₂³×C₅₃	—	2	1	no	—
579	C₂³×C₅₃	—	2	1	no	—
580	C₂³×C₅₃	—	2	1	no	—
581	C₂³×C₅₃	—	2	1	no	—
582	C₂³×C₅₃	—	2	1	no	—
583	C₂³×C₅₃	—	2	1	no	—
584	C₂³×C₅₃	—	2	1	no	—
585	C₂³×C₅₃	—	2	1	no	—
586	C₂³×C₅₃	—	4	4	no	—
587	C₂³×C₅₃	—	4	4	no	—
588	C₂³×C₅₃	—	4	4	no	—
589	C₂³×C₅₃	—	4	4	no	—
590	C₂³×C₅₃	—	4	4	no	—
591	C₂³×C₅₃	—	4	4	no	—
592	C₂³×C₅₃	C₂²×Q₈	1	2	yes	—
593	C₂³×C₅₃	C₂²×Q₈	1	2	yes	—
594	C₂³×C₅₃	C₂²×Q₈	1	2	yes	—
595	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
596	C₂³×C₅₃	H(5,𝔽₂)	1	2	yes	—
597	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
598	C₂²×D₅₃	—	2	1	no	—
599	C₂²×D₅₃	—	2	1	no	—
600	C₂²×D₅₃	—	2	1	no	—
601	C₂²×D₅₃	—	2	1	no	—
602	C₂²×D₅₃	—	2	1	no	—
603	C₂²×D₅₃	—	2	1	no	—
604	C₂²×D₅₃	—	2	1	no	—
605	C₂²×D₅₃	—	2	1	no	—
606	C₂²×D₅₃	—	2	1	no	—
607	C₂²×D₅₃	—	2	1	no	—
608	C₂²×D₅₃	—	2	1	no	—
609	C₂²×D₅₃	—	2	1	no	—
610	C₂²×D₅₃	—	2	8	no	—
611	C₂²×D₅₃	—	4	4	no	—
612	C₂²×D₅₃	—	4	4	no	—
613	C₂²×D₅₃	—	8	2	no	—
614	C₂²×D₅₃	—	8	2	no	—
615	C₂²×D₅₃	—	8	2	no	—
616	C₂²×D₅₃	—	8	2	no	—
617	C₂²×D₅₃	C₂²×Q₈	1	2	yes	—
618	C₂²×D₅₃	C₂²×Q₈	1	2	yes	—
619	Q₈×C₅₃	—	8	2	no	—
620	C₂×C₄×C₅₃	—	2	1	no	—
621	C₂×C₄×C₅₃	—	2	1	no	—
622	C₂×C₄×C₅₃	—	2	1	no	—
623	C₂×C₄×C₅₃	—	2	1	no	—
624	C₂×C₄×C₅₃	—	2	1	no	—
625	C₂×C₄×C₅₃	—	2	1	no	—
626	C₂×C₄×C₅₃	—	2	1	no	—
627	C₂×C₄×C₅₃	—	2	1	no	—
628	C₂×C₄×C₅₃	—	2	1	no	—
629	C₂×C₄×C₅₃	—	2	1	no	—
630	C₂×C₄×C₅₃	—	2	1	no	—
631	C₂×C₄×C₅₃	—	2	1	no	—
632	C₂×C₄×C₅₃	—	2	1	no	—
633	C₂×C₄×C₅₃	—	2	1	no	—
634	C₂×C₄×C₅₃	—	2	1	no	—
635	C₂×C₄×C₅₃	—	2	1	no	—
636	C₂×C₄×C₅₃	—	2	1	no	—
637	C₂×C₄×C₅₃	—	2	1	no	—
638	C₂×C₄×C₅₃	—	2	1	no	—
639	C₂×C₄×C₅₃	—	2	1	no	—
640	C₂×C₄×C₅₃	—	2	1	no	—
641	C₂×C₄×C₅₃	—	2	1	no	—
642	C₂×C₄×C₅₃	—	2	1	no	—
643	C₂×C₄×C₅₃	—	2	1	no	—
644	C₂×C₄×C₅₃	—	2	1	no	—
645	C₂×C₄×C₅₃	—	2	1	no	—
646	C₂×C₄×C₅₃	—	2	1	no	—
647	C₂×C₄×C₅₃	—	2	1	no	—
648	C₂×C₄×C₅₃	—	2	1	no	—
649	C₂×C₄×C₅₃	—	2	1	no	—
650	C₂×C₄×C₅₃	—	2	1	no	—
651	C₂×C₄×C₅₃	—	2	1	no	—
652	C₂×C₄×C₅₃	—	2	1	no	—
653	C₂×C₄×C₅₃	—	2	1	no	—
654	C₂×C₄×C₅₃	—	4	4	no	—
655	C₂×C₄×C₅₃	—	4	4	no	—
656	C₂×C₄×C₅₃	—	4	4	no	—
657	C₂×C₄×C₅₃	—	4	4	no	—
658	C₂×C₄×C₅₃	—	4	4	no	—
659	C₂×C₄×C₅₃	—	4	4	no	—
660	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
661	C₂×C₄×C₅₃	H(5,𝔽₂)	1	2	yes	—
662	C₂²⋊D₅₃	—	4	4	no	—
663	C₂²⋊D₅₃	—	4	4	no	—
664	C₂²⋊D₅₃	—	4	4	no	—
665	C₂²⋊D₅₃	—	4	4	no	—
666	C₂×Dic₅₃	—	2	8	no	—
667	C₂×Dic₅₃	—	2	1	no	—
668	C₂×Dic₅₃	—	2	1	no	—
669	C₂×Dic₅₃	—	2	1	no	—
670	C₂×Dic₅₃	—	2	1	no	—
671	C₂×Dic₅₃	—	2	1	no	—
672	C₂×Dic₅₃	—	2	1	no	—
673	C₂×Dic₅₃	—	2	1	no	—
674	C₂×Dic₅₃	—	2	1	no	—
675	C₂×Dic₅₃	—	2	1	no	—
676	C₂×Dic₅₃	—	2	1	no	—
677	C₂×Dic₅₃	—	2	1	no	—
678	C₂×Dic₅₃	—	2	1	no	—
679	C₂×Dic₅₃	—	2	1	no	—
680	C₂×Dic₅₃	—	2	1	no	—
681	C₂×Dic₅₃	—	2	1	no	—
682	C₂×Dic₅₃	—	2	1	no	—
683	C₂×Dic₅₃	—	2	1	no	—
684	C₂×Dic₅₃	—	2	1	no	—
685	C₂×Dic₅₃	—	2	1	no	—
686	C₂×Dic₅₃	—	2	1	no	—
687	C₂×Dic₅₃	—	2	1	no	—
688	C₂×Dic₅₃	—	2	1	no	—
689	C₂×Dic₅₃	—	2	1	no	—
690	C₂×Dic₅₃	—	2	1	no	—
691	C₂×Dic₅₃	—	2	1	no	—
692	C₂×Dic₅₃	—	2	1	no	—
693	C₂×Dic₅₃	—	2	1	no	—
694	C₂×Dic₅₃	—	2	1	no	—
695	C₂×Dic₅₃	—	2	1	no	—
696	C₂×Dic₅₃	—	2	1	no	—
697	C₂×Dic₅₃	—	2	1	no	—
698	C₂×Dic₅₃	—	2	1	no	—
699	C₂×Dic₅₃	—	2	1	no	—
700	C₂×Dic₅₃	—	2	1	no	—
701	C₂×Dic₅₃	—	2	1	no	—
702	C₂×Dic₅₃	—	2	1	no	—
703	C₂×Dic₅₃	—	2	1	no	—
704	C₂×Dic₅₃	—	2	1	no	—
705	C₂×Dic₅₃	—	2	1	no	—
706	C₂×Dic₅₃	—	2	1	no	—
707	C₂×Dic₅₃	—	8	2	no	—
708	C₂×Dic₅₃	—	8	2	no	—
709	C₂×Dic₅₃	C₂²×Q₈	1	2	yes	—
710	C₂×Dic₅₃	C₂²×Q₈	1	2	yes	—
711	C₄×D₅₃	—	8	2	no	—
712	C₄×D₅₃	—	8	2	no	—
713	C₄×D₅₃	—	8	2	no	—
714	C₄×D₅₃	—	8	2	no	—
715	Dic₁₀₆	—	8	2	no	—
716	Dic₁₀₆	—	8	2	no	—
717	Dic₁₀₆	—	8	2	no	—
718	#36747	—	53	1	no	maximal, Sylow
719	C₂²×C₅₃	—	2	2	no	—
720	C₂²×C₅₃	—	2	2	no	—
721	C₂²×C₅₃	—	2	2	no	—
722	C₂²×C₅₃	—	2	2	no	—
723	C₂²×C₅₃	—	2	2	no	—
724	C₂²×C₅₃	—	2	2	no	—
725	C₂²×C₅₃	—	2	2	no	—
726	C₂²×C₅₃	—	2	2	no	—
727	C₂²×C₅₃	—	2	2	no	—
728	C₂²×C₅₃	—	2	2	no	—
729	C₂²×C₅₃	—	2	2	no	—
730	C₂²×C₅₃	—	2	2	no	—
731	C₂²×C₅₃	—	4	16	no	—
732	C₂²×C₅₃	—	4	1	no	—
733	C₂²×C₅₃	—	4	1	no	—
734	C₂²×C₅₃	—	4	1	no	—
735	C₂²×C₅₃	—	4	1	no	—
736	C₂²×C₅₃	—	4	1	no	—
737	C₂²×C₅₃	—	4	1	no	—
738	C₂²×C₅₃	—	4	1	no	—
739	C₂²×C₅₃	—	4	1	no	—
740	C₂²×C₅₃	#543	1	4	yes	—
741	C₂²×C₅₃	C₂³×Q₈	1	1	yes	characteristic
742	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
743	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
744	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
745	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
746	C₂²×C₅₃	#585	1	1	yes	characteristic
747	C₂²×C₅₃	#585	1	1	yes	characteristic
748	C₂×D₅₃	—	2	2	no	—
749	C₂×D₅₃	—	2	2	no	—
750	C₂×D₅₃	—	2	2	no	—
751	C₂×D₅₃	—	2	2	no	—
752	C₂×D₅₃	—	2	2	no	—
753	C₂×D₅₃	—	2	2	no	—
754	C₂×D₅₃	—	4	1	no	—
755	C₂×D₅₃	—	4	1	no	—
756	C₂×D₅₃	—	4	1	no	—
757	C₂×D₅₃	—	4	1	no	—
758	C₂×D₅₃	—	4	1	no	—
759	C₂×D₅₃	—	4	1	no	—
760	C₂×D₅₃	—	4	1	no	—
761	C₂×D₅₃	—	4	1	no	—
762	C₂×D₅₃	—	8	8	no	—
763	C₄×C₅₃	—	2	2	no	—
764	C₄×C₅₃	—	2	2	no	—
765	C₄×C₅₃	—	4	1	no	—
766	C₄×C₅₃	—	4	1	no	—
767	C₄×C₅₃	—	4	1	no	—
768	C₄×C₅₃	—	4	1	no	—
769	C₄×C₅₃	—	4	1	no	—
770	C₄×C₅₃	—	4	1	no	—
771	C₄×C₅₃	—	4	1	no	—
772	C₄×C₅₃	—	4	1	no	—
773	C₄×C₅₃	—	4	1	no	—
774	C₄×C₅₃	—	4	1	no	—
775	Dic₅₃	—	2	2	no	—
776	Dic₅₃	—	2	2	no	—
777	Dic₅₃	—	4	1	no	—
778	Dic₅₃	—	4	1	no	—
779	Dic₅₃	—	4	1	no	—
780	Dic₅₃	—	4	1	no	—
781	Dic₅₃	—	4	1	no	—
782	Dic₅₃	—	4	1	no	—
783	Dic₅₃	—	4	1	no	—
784	Dic₅₃	—	4	1	no	—
785	Dic₅₃	—	4	1	no	—
786	Dic₅₃	—	4	1	no	—
787	Dic₅₃	—	4	1	no	—
788	Dic₅₃	—	4	1	no	—
789	#2848	—	53	1	no	—
790	#2848	D₅₃	1	1	yes	characteristic, complemented
791	#2804	—	53	1	no	—
792	#2784	—	53	1	no	—
793	#2784	—	53	1	no	—
794	#2780	—	53	1	no	—
795	#2780	—	53	1	no	—
796	#2780	—	53	1	no	—
797	#2780	—	53	1	no	—
798	#2748	—	53	1	no	—
799	#2748	—	53	1	no	—
800	#2732	—	53	1	no	—
801	#2732	—	53	1	no	—
802	#2692	—	53	1	no	—
803	#2692	—	53	1	no	—
804	#2692	—	53	1	no	—
805	#2692	—	53	1	no	—
806	#2683	—	53	1	no	—
807	#2626	—	53	1	no	—
808	#2626	—	53	1	no	—
809	#2438	—	53	1	no	—
810	#2438	—	53	1	no	—
811	#2438	—	53	1	no	—
812	#2438	—	53	1	no	—
813	#2437	—	53	1	no	—
814	#2437	—	53	1	no	—
815	#2437	—	53	1	no	—
816	#2437	—	53	1	no	—
817	#2309	—	53	1	no	—
818	#2308	—	53	1	no	—
819	C₂×#386	—	53	1	no	—
820	C₂×C₅₃	—	2	4	no	—
821	C₂×C₅₃	—	4	2	no	—
822	C₂×C₅₃	—	4	2	no	—
823	C₂×C₅₃	C₂×#543	1	1	yes	characteristic
824	C₂×C₅₃	#3501	1	1	yes	characteristic
825	C₂×C₅₃	#3501	1	1	yes	characteristic
826	C₂×C₅₃	#3532	1	1	yes	characteristic
827	C₂×C₅₃	#3533	1	1	yes	characteristic
828	C₂×C₅₃	#3542	1	1	yes	characteristic
829	C₂×C₅₃	#3542	1	1	yes	characteristic
830	D₅₃	—	4	2	no	—
831	D₅₃	—	4	2	no	—
832	C₂³×D₄	—	53	1	no	—
833	C₂⁴×C₄	C₂×D₅₃	1	1	yes	characteristic
834	C₂×C₂²⋊Q₈	—	53	1	no	—
835	C₂×C₂²⋊Q₈	—	53	1	no	—
836	C₂×C₂²⋊Q₈	—	53	1	no	—
837	C₂×C₂²⋊Q₈	—	53	1	no	—
838	C₂×C₂²⋊Q₈	—	53	1	no	—
839	C₂×C₂²⋊Q₈	—	53	1	no	—
840	C₂×C₂²⋊Q₈	—	53	1	no	—
841	C₂×C₂²⋊Q₈	—	53	1	no	—
842	C₂×C₂²⋊Q₈	—	53	1	no	—
843	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic
844	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
845	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
846	C₂×#117	—	53	1	no	—
847	C₂×#117	—	53	1	no	—
848	C₂²×C₂²⋊C₄	—	53	1	no	—
849	C₂²×C₂²⋊C₄	—	53	1	no	—
850	C₂²×C₂²⋊C₄	—	53	1	no	—
851	C₂²×C₂²⋊C₄	—	53	1	no	—
852	C₂²×C₂²⋊C₄	—	53	1	no	—
853	#400	—	53	1	no	—
854	#400	—	53	1	no	—
855	#400	—	53	1	no	—
856	#400	—	53	1	no	—
857	#399	—	53	1	no	—
858	#399	—	53	1	no	—
859	#399	—	53	1	no	—
860	#399	—	53	1	no	—
861	#399	—	53	1	no	—
862	#399	—	53	1	no	—
863	#399	—	53	1	no	—
864	#399	—	53	1	no	—
865	#398	—	53	1	no	—
866	#398	—	53	1	no	—
867	#398	—	53	1	no	—
868	#398	—	53	1	no	—
869	#398	—	53	1	no	—
870	#398	—	53	1	no	—
871	#398	—	53	1	no	—
872	#398	—	53	1	no	—
873	#396	—	53	1	no	—
874	#396	—	53	1	no	—
875	#396	—	53	1	no	—
876	#396	—	53	1	no	—
877	#396	—	53	1	no	—
878	#396	—	53	1	no	—
879	#396	—	53	1	no	—
880	#396	—	53	1	no	—
881	#396	—	53	1	no	—
882	#396	—	53	1	no	—
883	#396	—	53	1	no	—
884	#396	—	53	1	no	—
885	#396	—	53	1	no	—
886	#396	—	53	1	no	—
887	#396	—	53	1	no	—
888	#396	—	53	1	no	—
889	#395	—	53	1	no	—
890	#395	—	53	1	no	—
891	#395	—	53	1	no	—
892	#395	—	53	1	no	—
893	#393	—	53	1	no	—
894	#393	—	53	1	no	—
895	#393	—	53	1	no	—
896	#393	—	53	1	no	—
897	#393	—	53	1	no	—
898	#393	—	53	1	no	—
899	#393	—	53	1	no	—
900	#393	—	53	1	no	—
901	#391	—	53	1	no	—
902	#391	—	53	1	no	—
903	#391	—	53	1	no	—
904	#391	—	53	1	no	—
905	#390	—	53	1	no	—
906	#390	—	53	1	no	—
907	#390	—	53	1	no	—
908	#390	—	53	1	no	—
909	#390	—	53	1	no	—
910	#390	—	53	1	no	—
911	#390	—	53	1	no	—
912	#390	—	53	1	no	—
913	#389	—	53	1	no	—
914	#389	—	53	1	no	—
915	#389	—	53	1	no	—
916	#389	—	53	1	no	—
917	#387	—	53	1	no	—
918	#387	—	53	1	no	—
919	#387	—	53	1	no	—
920	#387	—	53	1	no	—
921	#387	—	53	1	no	—
922	#387	—	53	1	no	—
923	#387	—	53	1	no	—
924	#387	—	53	1	no	—
925	#386	—	53	1	no	—
926	#386	—	53	1	no	—
927	#386	—	53	1	no	—
928	#386	—	53	1	no	—
929	#386	—	53	1	no	—
930	#386	—	53	1	no	—
931	#386	—	53	1	no	—
932	#386	—	53	1	no	—
933	#386	—	53	1	no	—
934	#386	—	53	1	no	—
935	#386	—	53	1	no	—
936	#386	—	53	1	no	—
937	#386	—	53	1	no	—
938	#386	—	53	1	no	—
939	#386	—	53	1	no	—
940	#386	—	53	1	no	—
941	#385	—	53	1	no	—
942	#385	—	53	1	no	—
943	#385	—	53	1	no	—
944	#385	—	53	1	no	—
945	#385	—	53	1	no	—
946	#385	—	53	1	no	—
947	#385	—	53	1	no	—
948	#385	—	53	1	no	—
949	#385	—	53	1	no	—
950	#385	—	53	1	no	—
951	#385	—	53	1	no	—
952	#385	—	53	1	no	—
953	#385	—	53	1	no	—
954	#385	—	53	1	no	—
955	#385	—	53	1	no	—
956	#385	—	53	1	no	—
957	#385	—	53	1	no	—
958	#385	—	53	1	no	—
959	#385	C₂×D₅₃	1	1	yes	characteristic
960	#385	C₂×D₅₃	1	1	yes	characteristic
961	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
962	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
963	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
964	#385	C₂×D₅₃	1	1	yes	characteristic, complemented
965	#381	—	53	1	no	—
966	#381	—	53	1	no	—
967	#380	—	53	1	no	—
968	#380	—	53	1	no	—
969	#380	—	53	1	no	—
970	#380	—	53	1	no	—
971	#380	—	53	1	no	—
972	#380	—	53	1	no	—
973	#380	—	53	1	no	—
974	#380	—	53	1	no	—
975	#380	—	53	1	no	—
976	#380	C₂×D₅₃	1	1	yes	characteristic
977	#380	C₂×D₅₃	1	1	yes	characteristic, complemented
978	#380	C₂×D₅₃	1	1	yes	characteristic, complemented
979	#379	—	53	1	no	—
980	#379	—	53	1	no	—
981	#379	—	53	1	no	—
982	#379	—	53	1	no	—
983	#379	C₂×D₅₃	1	1	yes	characteristic
984	#379	C₂×D₅₃	1	1	yes	characteristic
985	C₂×#95	—	53	1	no	—
986	C₂×#95	—	53	1	no	—
987	C₅₃	#36747	1	1	yes	characteristic, complemented, Sylow
988	C₂⁵	—	53	1	no	—
989	C₂⁵	C₂²×D₅₃	1	1	yes	characteristic
990	C₂²×Q₈	—	53	1	no	—
991	C₂²×Q₈	—	53	1	no	—
992	C₂²×Q₈	—	53	1	no	—
993	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
994	C₂²×D₄	—	53	8	no	—
995	C₂²×D₄	—	53	1	no	—
996	C₂²×D₄	—	53	1	no	—
997	C₂²×D₄	—	53	1	no	—
998	C₂²×D₄	—	53	1	no	—
999	C₂²×D₄	—	212	2	no	—
1000	C₂²×D₄	—	212	2	no	—
1001	C₂³×C₄	—	4	2	no	—
1002	C₂³×C₄	—	4	2	no	—
1003	C₂³×C₄	—	4	2	no	—
1004	C₂³×C₄	—	53	1	no	—
1005	C₂³×C₄	—	53	1	no	—
1006	C₂³×C₄	—	53	1	no	—
1007	C₂³×C₄	—	53	1	no	—
1008	C₂³×C₄	—	53	1	no	—
1009	C₂³×C₄	—	53	1	no	—
1010	C₂³×C₄	—	53	1	no	—
1011	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1012	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1013	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1014	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1015	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1016	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1017	C₂²⋊Q₈	—	4	2	no	—
1018	C₂²⋊Q₈	—	4	2	no	—
1019	C₂²⋊Q₈	—	4	2	no	—
1020	C₂²⋊Q₈	—	212	2	no	—
1021	C₂²⋊Q₈	—	212	2	no	—
1022	C₂²⋊Q₈	—	212	2	no	—
1023	C₂²⋊Q₈	—	212	2	no	—
1024	C₂²⋊Q₈	—	212	2	no	—
1025	C₂²⋊Q₈	—	212	2	no	—
1026	C₂²⋊Q₈	—	212	2	no	—
1027	C₂²⋊Q₈	—	212	2	no	—
1028	C₂²⋊Q₈	—	212	2	no	—
1029	#117	—	212	2	no	—
1030	#117	—	212	2	no	—
1031	C₂×C₄⋊C₄	—	53	1	no	—
1032	C₂×C₄⋊C₄	—	53	1	no	—
1033	C₂×C₄⋊C₄	—	53	1	no	—
1034	C₂×C₄⋊C₄	—	53	1	no	—
1035	C₂×C₄⋊C₄	—	53	1	no	—
1036	C₂×C₄⋊C₄	—	53	1	no	—
1037	C₂×C₄⋊C₄	—	53	1	no	—
1038	C₂×C₄⋊C₄	—	53	1	no	—
1039	C₂×C₄⋊C₄	—	53	1	no	—
1040	C₂×C₄⋊C₄	—	53	1	no	—
1041	C₂×C₄⋊C₄	—	53	1	no	—
1042	C₂×C₄⋊C₄	—	53	1	no	—
1043	C₂×C₄⋊C₄	—	53	1	no	—
1044	C₂×C₄⋊C₄	—	53	1	no	—
1045	C₂×C₄⋊C₄	—	53	1	no	—
1046	C₂×C₄⋊C₄	—	53	1	no	—
1047	C₂×C₄⋊C₄	—	53	1	no	—
1048	C₂×C₄⋊C₄	—	53	1	no	—
1049	C₂×C₄⋊C₄	—	53	1	no	—
1050	C₂×C₄⋊C₄	—	53	1	no	—
1051	C₂×C₄⋊C₄	—	53	1	no	—
1052	C₂×C₄⋊C₄	—	53	1	no	—
1053	C₂×C₄⋊C₄	—	53	1	no	—
1054	C₂×C₄⋊C₄	—	53	1	no	—
1055	C₂×C₄⋊C₄	—	53	1	no	—
1056	C₂×C₄⋊C₄	—	53	1	no	—
1057	C₂×C₄⋊C₄	—	53	1	no	—
1058	C₂×C₄⋊C₄	—	53	1	no	—
1059	C₂×C₄⋊C₄	—	53	1	no	—
1060	C₂×C₄⋊C₄	—	53	1	no	—
1061	C₂×C₄⋊C₄	—	53	1	no	—
1062	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1063	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1066	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1067	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1069	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1070	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	—	53	1	no	—
1072	C₂×C₂²⋊C₄	—	53	1	no	—
1073	C₂×C₂²⋊C₄	—	53	1	no	—
1074	C₂×C₂²⋊C₄	—	53	1	no	—
1075	C₂×C₂²⋊C₄	—	53	1	no	—
1076	C₂×C₂²⋊C₄	—	53	1	no	—
1077	C₂×C₂²⋊C₄	—	53	1	no	—
1078	C₂×C₂²⋊C₄	—	53	1	no	—
1079	C₂×C₂²⋊C₄	—	53	1	no	—
1080	C₂×C₂²⋊C₄	—	53	1	no	—
1081	C₂×C₂²⋊C₄	—	53	1	no	—
1082	C₂×C₂²⋊C₄	—	53	1	no	—
1083	C₂×C₂²⋊C₄	—	53	1	no	—
1084	C₂×C₂²⋊C₄	—	53	1	no	—
1085	C₂×C₂²⋊C₄	—	53	1	no	—
1086	C₂×C₂²⋊C₄	—	53	1	no	—
1087	C₂×C₂²⋊C₄	—	53	1	no	—
1088	C₂×C₂²⋊C₄	—	53	1	no	—
1089	C₂×C₂²⋊C₄	—	53	1	no	—
1090	C₂×C₂²⋊C₄	—	53	1	no	—
1091	C₂×C₂²⋊C₄	—	53	1	no	—
1092	C₂×C₂²⋊C₄	—	53	1	no	—
1093	C₂×C₂²⋊C₄	—	53	1	no	—
1094	C₂×C₂²⋊C₄	—	53	1	no	—
1095	C₂×C₂²⋊C₄	—	53	1	no	—
1096	C₂×C₂²⋊C₄	—	53	1	no	—
1097	C₂×C₂²⋊C₄	—	53	1	no	—
1098	C₂×C₂²⋊C₄	—	53	1	no	—
1099	C₂×C₂²⋊C₄	—	53	1	no	—
1100	C₂×C₂²⋊C₄	—	53	1	no	—
1101	C₂×C₂²⋊C₄	—	53	1	no	—
1102	C₂×C₂²⋊C₄	—	53	1	no	—
1103	C₂×C₂²⋊C₄	—	53	1	no	—
1104	C₂×C₂²⋊C₄	—	53	1	no	—
1105	C₂×C₂²⋊C₄	—	53	1	no	—
1106	C₂×C₂²⋊C₄	—	53	1	no	—
1107	C₂×C₂²⋊C₄	—	212	2	no	—
1108	C₂×C₂²⋊C₄	—	212	2	no	—
1109	C₂×C₂²⋊C₄	—	212	2	no	—
1110	C₂×C₂²⋊C₄	—	212	2	no	—
1111	C₂×C₂²⋊C₄	—	212	2	no	—
1112	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1113	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1114	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1115	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1116	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1117	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1118	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1119	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1120	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1121	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1122	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1123	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1124	C₂×C₄²	—	53	1	no	—
1125	C₂×C₄²	—	53	1	no	—
1126	C₂×C₄²	—	53	1	no	—
1127	C₂×C₄²	—	53	1	no	—
1128	#95	—	53	1	no	—
1129	#95	—	53	1	no	—
1130	#95	—	53	1	no	—
1131	#95	—	53	1	no	—
1132	#95	—	53	1	no	—
1133	#95	—	53	1	no	—
1134	#95	—	53	1	no	—
1135	#95	—	53	1	no	—
1136	#95	—	53	1	no	—
1137	#95	—	53	1	no	—
1138	#95	—	53	1	no	—
1139	#95	—	53	1	no	—
1140	#95	—	53	1	no	—
1141	#95	—	53	1	no	—
1142	#95	—	53	1	no	—
1143	#95	—	53	1	no	—
1144	#95	—	53	1	no	—
1145	#95	—	53	1	no	—
1146	#95	—	53	1	no	—
1147	#95	—	53	1	no	—
1148	#95	—	53	1	no	—
1149	#95	—	53	1	no	—
1150	#95	—	53	1	no	—
1151	#95	—	53	1	no	—
1152	#95	—	53	1	no	—
1153	#95	—	53	1	no	—
1154	#95	—	53	1	no	—
1155	#95	—	53	1	no	—
1156	#95	—	53	1	no	—
1157	#95	—	53	1	no	—
1158	#95	—	53	1	no	—
1159	#95	—	53	1	no	—
1160	#95	—	53	1	no	—
1161	#95	—	53	1	no	—
1162	#95	C₂²×D₅₃	1	1	yes	characteristic
1163	#95	C₂²×D₅₃	1	1	yes	characteristic
1164	#95	C₂²×D₅₃	1	1	yes	characteristic
1165	#95	C₂²×D₅₃	1	1	yes	characteristic
1166	#95	C₂²×D₅₃	1	1	yes	characteristic
1167	#95	C₂²×D₅₃	1	1	yes	characteristic
1168	C₂⁴	—	2	2	no	—
1169	C₂⁴	—	2	2	no	—
1170	C₂⁴	—	4	1	no	—
1171	C₂⁴	—	4	1	no	—
1172	C₂⁴	—	4	1	no	—
1173	C₂⁴	—	4	1	no	—
1174	C₂⁴	—	53	1	no	—
1175	C₂⁴	—	53	1	no	—
1176	C₂⁴	—	53	4	no	—
1177	C₂⁴	—	106	2	no	—
1178	C₂⁴	—	106	2	no	—
1179	C₂⁴	—	212	1	no	—
1180	C₂⁴	—	212	1	no	—
1181	C₂⁴	—	212	1	no	—
1182	C₂⁴	—	212	1	no	—
1183	C₂⁴	Q₈×D₅₃	1	4	yes	—
1184	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1185	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1186	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
1187	C₂×Q₈	—	2	2	no	—
1188	C₂×Q₈	—	4	1	no	—
1189	C₂×Q₈	—	4	1	no	—
1190	C₂×Q₈	—	106	2	no	—
1191	C₂×Q₈	—	212	1	no	—
1192	C₂×Q₈	—	212	1	no	—
1193	C₂×Q₈	—	212	1	no	—
1194	C₂×Q₈	—	212	1	no	—
1195	C₂×Q₈	—	212	1	no	—
1196	C₂×Q₈	—	212	1	no	—
1197	C₂×Q₈	—	212	1	no	—
1198	C₂×Q₈	—	212	1	no	—
1199	C₂×D₄	—	53	4	no	—
1200	C₂×D₄	—	53	4	no	—
1201	C₂×D₄	—	53	4	no	—
1202	C₂×D₄	—	53	4	no	—
1203	C₂×D₄	—	212	1	no	—
1204	C₂×D₄	—	212	1	no	—
1205	C₂×D₄	—	212	1	no	—
1206	C₂×D₄	—	212	1	no	—
1207	C₂×D₄	—	212	1	no	—
1208	C₂×D₄	—	212	1	no	—
1209	C₂×D₄	—	212	1	no	—
1210	C₂×D₄	—	212	1	no	—
1211	C₂×D₄	—	212	16	no	—
1212	C₂²×C₄	—	2	2	no	—
1213	C₂²×C₄	—	2	2	no	—
1214	C₂²×C₄	—	2	2	no	—
1215	C₂²×C₄	—	2	2	no	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	1	no	—
1225	C₂²×C₄	—	4	1	no	—
1226	C₂²×C₄	—	4	1	no	—
1227	C₂²×C₄	—	4	1	no	—
1228	C₂²×C₄	—	4	1	no	—
1229	C₂²×C₄	—	4	1	no	—
1230	C₂²×C₄	—	4	16	no	—
1231	C₂²×C₄	—	53	4	no	—
1232	C₂²×C₄	—	53	1	no	—
1233	C₂²×C₄	—	53	1	no	—
1234	C₂²×C₄	—	53	1	no	—
1235	C₂²×C₄	—	53	1	no	—
1236	C₂²×C₄	—	53	1	no	—
1237	C₂²×C₄	—	53	1	no	—
1238	C₂²×C₄	—	53	1	no	—
1239	C₂²×C₄	—	53	1	no	—
1240	C₂²×C₄	—	53	1	no	—
1241	C₂²×C₄	—	53	1	no	—
1242	C₂²×C₄	—	53	1	no	—
1243	C₂²×C₄	—	53	1	no	—
1244	C₂²×C₄	—	53	1	no	—
1245	C₂²×C₄	—	53	1	no	—
1246	C₂²×C₄	—	106	2	no	—
1247	C₂²×C₄	—	106	2	no	—
1248	C₂²×C₄	—	106	2	no	—
1249	C₂²×C₄	—	106	2	no	—
1250	C₂²×C₄	—	212	1	no	—
1251	C₂²×C₄	—	212	1	no	—
1252	C₂²×C₄	—	212	1	no	—
1253	C₂²×C₄	—	212	1	no	—
1254	C₂²×C₄	—	212	1	no	—
1255	C₂²×C₄	—	212	1	no	—
1256	C₂²×C₄	—	212	1	no	—
1257	C₂²×C₄	—	212	1	no	—
1258	C₂²×C₄	—	212	1	no	—
1259	C₂²×C₄	—	212	1	no	—
1260	C₂²×C₄	—	212	1	no	—
1261	C₂²×C₄	—	212	1	no	—
1262	C₂²×C₄	—	212	1	no	—
1263	C₂²×C₄	—	212	1	no	—
1264	C₂²×C₄	—	212	1	no	—
1265	C₂²×C₄	—	212	1	no	—
1266	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1267	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1268	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1269	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1270	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1271	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1272	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1273	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1274	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1275	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1276	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1277	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1278	C₄⋊C₄	—	2	2	no	—
1279	C₄⋊C₄	—	2	2	no	—
1280	C₄⋊C₄	—	2	2	no	—
1281	C₄⋊C₄	—	4	1	no	—
1282	C₄⋊C₄	—	4	1	no	—
1283	C₄⋊C₄	—	4	1	no	—
1284	C₄⋊C₄	—	4	1	no	—
1285	C₄⋊C₄	—	4	1	no	—
1286	C₄⋊C₄	—	4	1	no	—
1287	C₄⋊C₄	—	106	2	no	—
1288	C₄⋊C₄	—	106	2	no	—
1289	C₄⋊C₄	—	106	2	no	—
1290	C₄⋊C₄	—	212	1	no	—
1291	C₄⋊C₄	—	212	1	no	—
1292	C₄⋊C₄	—	212	1	no	—
1293	C₄⋊C₄	—	212	1	no	—
1294	C₄⋊C₄	—	212	1	no	—
1295	C₄⋊C₄	—	212	1	no	—
1296	C₄⋊C₄	—	212	1	no	—
1297	C₄⋊C₄	—	212	1	no	—
1298	C₄⋊C₄	—	212	1	no	—
1299	C₄⋊C₄	—	212	1	no	—
1300	C₄⋊C₄	—	212	1	no	—
1301	C₄⋊C₄	—	212	1	no	—
1302	C₄⋊C₄	—	212	1	no	—
1303	C₄⋊C₄	—	212	1	no	—
1304	C₄⋊C₄	—	212	1	no	—
1305	C₄⋊C₄	—	212	1	no	—
1306	C₄⋊C₄	—	212	1	no	—
1307	C₄⋊C₄	—	212	1	no	—
1308	C₄⋊C₄	—	212	1	no	—
1309	C₄⋊C₄	—	212	1	no	—
1310	C₄⋊C₄	—	212	1	no	—
1311	C₄⋊C₄	—	212	1	no	—
1312	C₄⋊C₄	—	212	1	no	—
1313	C₄⋊C₄	—	212	1	no	—
1314	C₄⋊C₄	—	212	1	no	—
1315	C₄⋊C₄	—	212	1	no	—
1316	C₄⋊C₄	—	212	1	no	—
1317	C₄⋊C₄	—	212	1	no	—
1318	C₂²⋊C₄	—	2	2	no	—
1319	C₂²⋊C₄	—	2	2	no	—
1320	C₂²⋊C₄	—	2	2	no	—
1321	C₂²⋊C₄	—	2	2	no	—
1322	C₂²⋊C₄	—	4	1	no	—
1323	C₂²⋊C₄	—	4	1	no	—
1324	C₂²⋊C₄	—	4	1	no	—
1325	C₂²⋊C₄	—	4	1	no	—
1326	C₂²⋊C₄	—	4	1	no	—
1327	C₂²⋊C₄	—	4	1	no	—
1328	C₂²⋊C₄	—	4	1	no	—
1329	C₂²⋊C₄	—	4	1	no	—
1330	C₂²⋊C₄	—	106	2	no	—
1331	C₂²⋊C₄	—	106	2	no	—
1332	C₂²⋊C₄	—	106	2	no	—
1333	C₂²⋊C₄	—	106	2	no	—
1334	C₂²⋊C₄	—	106	2	no	—
1335	C₂²⋊C₄	—	106	2	no	—
1336	C₂²⋊C₄	—	106	2	no	—
1337	C₂²⋊C₄	—	106	2	no	—
1338	C₂²⋊C₄	—	212	1	no	—
1339	C₂²⋊C₄	—	212	1	no	—
1340	C₂²⋊C₄	—	212	1	no	—
1341	C₂²⋊C₄	—	212	1	no	—
1342	C₂²⋊C₄	—	212	1	no	—
1343	C₂²⋊C₄	—	212	1	no	—
1344	C₂²⋊C₄	—	212	1	no	—
1345	C₂²⋊C₄	—	212	1	no	—
1346	C₂²⋊C₄	—	212	1	no	—
1347	C₂²⋊C₄	—	212	1	no	—
1348	C₂²⋊C₄	—	212	1	no	—
1349	C₂²⋊C₄	—	212	1	no	—
1350	C₂²⋊C₄	—	212	1	no	—
1351	C₂²⋊C₄	—	212	1	no	—
1352	C₂²⋊C₄	—	212	1	no	—
1353	C₂²⋊C₄	—	212	1	no	—
1354	C₂²⋊C₄	—	212	1	no	—
1355	C₂²⋊C₄	—	212	1	no	—
1356	C₂²⋊C₄	—	212	1	no	—
1357	C₂²⋊C₄	—	212	1	no	—
1358	C₂²⋊C₄	—	212	1	no	—
1359	C₂²⋊C₄	—	212	1	no	—
1360	C₂²⋊C₄	—	212	1	no	—
1361	C₂²⋊C₄	—	212	1	no	—
1362	C₂²⋊C₄	—	212	1	no	—
1363	C₂²⋊C₄	—	212	1	no	—
1364	C₂²⋊C₄	—	212	1	no	—
1365	C₂²⋊C₄	—	212	1	no	—
1366	C₄²	—	212	1	no	—
1367	C₄²	—	212	1	no	—
1368	C₄²	—	212	1	no	—
1369	C₄²	—	212	1	no	—
1370	C₂³	—	2	1	no	—
1371	C₂³	—	2	1	no	—
1372	C₂³	—	2	1	no	—
1373	C₂³	—	2	1	no	—
1374	C₂³	—	2	1	no	—
1375	C₂³	—	2	1	no	—
1376	C₂³	—	2	1	no	—
1377	C₂³	—	2	1	no	—
1378	C₂³	—	2	1	no	—
1379	C₂³	—	2	1	no	—
1380	C₂³	—	2	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	1	no	—
1386	C₂³	—	2	8	no	—
1387	C₂³	—	4	4	no	—
1388	C₂³	—	4	4	no	—
1389	C₂³	—	4	4	no	—
1390	C₂³	—	4	4	no	—
1391	C₂³	—	4	4	no	—
1392	C₂³	—	4	4	no	—
1393	C₂³	—	53	2	no	—
1394	C₂³	—	53	2	no	—
1395	C₂³	—	106	8	no	—
1396	C₂³	—	106	1	no	—
1397	C₂³	—	106	1	no	—
1398	C₂³	—	106	1	no	—
1399	C₂³	—	106	1	no	—
1400	C₂³	—	106	1	no	—
1401	C₂³	—	106	1	no	—
1402	C₂³	—	106	1	no	—
1403	C₂³	—	106	1	no	—
1404	C₂³	—	106	1	no	—
1405	C₂³	—	106	1	no	—
1406	C₂³	—	106	1	no	—
1407	C₂³	—	106	1	no	—
1408	C₂³	—	424	2	no	—
1409	C₂³	—	424	2	no	—
1410	C₂³	—	424	2	no	—
1411	C₂³	—	424	2	no	—
1412	C₂³	—	212	4	no	—
1413	C₂³	—	212	4	no	—
1414	C₂³	C₂×Q₈×D₅₃	1	2	yes	—
1415	C₂³	C₂×Q₈×D₅₃	1	2	yes	—
1416	C₂³	C₂×Q₈×D₅₃	1	2	yes	—
1417	C₂³	#13133262	1	2	yes	—
1418	C₂³	#13133263	1	2	yes	—
1419	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
1420	Q₈	—	8	2	no	—
1421	Q₈	—	424	2	no	—
1422	Q₈	—	424	2	no	—
1423	Q₈	—	424	2	no	—
1424	D₄	—	212	4	no	—
1425	D₄	—	212	4	no	—
1426	D₄	—	212	4	no	—
1427	D₄	—	212	4	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	4	4	no	—
1466	C₂×C₄	—	4	4	no	—
1467	C₂×C₄	—	4	4	no	—
1468	C₂×C₄	—	53	2	no	—
1469	C₂×C₄	—	53	2	no	—
1470	C₂×C₄	—	106	1	no	—
1471	C₂×C₄	—	106	1	no	—
1472	C₂×C₄	—	106	1	no	—
1473	C₂×C₄	—	106	1	no	—
1474	C₂×C₄	—	106	8	no	—
1475	C₂×C₄	—	106	1	no	—
1476	C₂×C₄	—	106	1	no	—
1477	C₂×C₄	—	106	1	no	—
1478	C₂×C₄	—	106	1	no	—
1479	C₂×C₄	—	106	1	no	—
1480	C₂×C₄	—	106	1	no	—
1481	C₂×C₄	—	106	1	no	—
1482	C₂×C₄	—	106	1	no	—
1483	C₂×C₄	—	106	1	no	—
1484	C₂×C₄	—	106	1	no	—
1485	C₂×C₄	—	106	1	no	—
1486	C₂×C₄	—	106	1	no	—
1487	C₂×C₄	—	106	1	no	—
1488	C₂×C₄	—	106	1	no	—
1489	C₂×C₄	—	106	1	no	—
1490	C₂×C₄	—	106	1	no	—
1491	C₂×C₄	—	106	1	no	—
1492	C₂×C₄	—	106	1	no	—
1493	C₂×C₄	—	106	1	no	—
1494	C₂×C₄	—	106	1	no	—
1495	C₂×C₄	—	106	1	no	—
1496	C₂×C₄	—	106	1	no	—
1497	C₂×C₄	—	106	1	no	—
1498	C₂×C₄	—	106	1	no	—
1499	C₂×C₄	—	106	1	no	—
1500	C₂×C₄	—	106	1	no	—
1501	C₂×C₄	—	106	1	no	—
1502	C₂×C₄	—	106	1	no	—
1503	C₂×C₄	—	106	1	no	—
1504	C₂×C₄	—	106	1	no	—
1505	C₂×C₄	—	106	1	no	—
1506	C₂×C₄	—	106	1	no	—
1507	C₂×C₄	—	106	1	no	—
1508	C₂×C₄	—	106	1	no	—
1509	C₂×C₄	—	106	1	no	—
1510	C₂×C₄	—	106	1	no	—
1511	C₂×C₄	—	424	2	no	—
1512	C₂×C₄	—	424	2	no	—
1513	C₂×C₄	—	424	2	no	—
1514	C₂×C₄	—	424	2	no	—
1515	C₂×C₄	—	424	2	no	—
1516	C₂×C₄	—	424	2	no	—
1517	C₂×C₄	#13133262	1	2	yes	—
1518	C₂×C₄	#13133262	1	2	yes	—
1519	C₂²	—	2	2	no	—
1520	C₂²	—	2	2	no	—
1521	C₂²	—	2	2	no	—
1522	C₂²	—	2	2	no	—
1523	C₂²	—	2	2	no	—
1524	C₂²	—	2	2	no	—
1525	C₂²	—	2	2	no	—
1526	C₂²	—	2	2	no	—
1527	C₂²	—	2	2	no	—
1528	C₂²	—	2	2	no	—
1529	C₂²	—	2	2	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	4	16	no	—
1532	C₂²	—	4	1	no	—
1533	C₂²	—	4	1	no	—
1534	C₂²	—	4	1	no	—
1535	C₂²	—	4	1	no	—
1536	C₂²	—	4	1	no	—
1537	C₂²	—	4	1	no	—
1538	C₂²	—	4	1	no	—
1539	C₂²	—	4	1	no	—
1540	C₂²	—	106	2	no	—
1541	C₂²	—	106	2	no	—
1542	C₂²	—	106	2	no	—
1543	C₂²	—	106	2	no	—
1544	C₂²	—	106	2	no	—
1545	C₂²	—	106	2	no	—
1546	C₂²	—	424	8	no	—
1547	C₂²	—	212	1	no	—
1548	C₂²	—	212	1	no	—
1549	C₂²	—	212	1	no	—
1550	C₂²	—	212	1	no	—
1551	C₂²	—	212	1	no	—
1552	C₂²	—	212	1	no	—
1553	C₂²	—	212	1	no	—
1554	C₂²	—	212	1	no	—
1555	C₂²	#16811248	1	4	yes	—
1556	C₂²	C₂²×Q₈×D₅₃	1	1	yes	characteristic
1557	C₂²	C₂×#13133262	1	1	yes	characteristic
1558	C₂²	C₂×#13133262	1	1	yes	characteristic
1559	C₂²	C₂×#13133262	1	1	yes	characteristic
1560	C₂²	C₂×#13133263	1	1	yes	characteristic
1561	C₂²	#16811459	1	1	yes	characteristic
1562	C₂²	#16811459	1	1	yes	characteristic
1563	C₄	—	2	2	no	—
1564	C₄	—	2	2	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	106	2	no	—
1576	C₄	—	106	2	no	—
1577	C₄	—	212	1	no	—
1578	C₄	—	212	1	no	—
1579	C₄	—	212	1	no	—
1580	C₄	—	212	1	no	—
1581	C₄	—	212	1	no	—
1582	C₄	—	212	1	no	—
1583	C₄	—	212	1	no	—
1584	C₄	—	212	1	no	—
1585	C₄	—	212	1	no	—
1586	C₄	—	212	1	no	—
1587	C₄	—	212	1	no	—
1588	C₄	—	212	1	no	—
1589	C₂	—	2	4	no	—
1590	C₂	—	4	2	no	—
1591	C₂	—	4	2	no	—
1592	C₂	—	212	2	no	—
1593	C₂	—	212	2	no	—
1594	C₂	C₂×#16811248	1	1	yes	characteristic
1595	C₂	#20288511	1	1	yes	characteristic
1596	C₂	#20288511	1	1	yes	characteristic
1597	C₂	#20288870	1	1	yes	characteristic
1598	C₂	#20288879	1	1	yes	characteristic
1599	C₂	#20289023	1	1	yes	characteristic
1600	C₂	#20289031	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅₃
commutator, socle, cosocle	C₂³×C₅₃	C₂⁵
Fitting	C₅₃×#2848	C₂
prime radical	C₂³×C₂²⋊D₅₃	C₂²
hypercenter	#2848	D₅₃
hypocenter	C₅₃	#36747
LCS	G ▷ C₂³×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂³ ◁ #2848

Complements

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

N	H ≅ G/N	type
1. #20283002	C₂	semidirect
2. #20282657	C₂	semidirect
3. #20282414	C₂	semidirect
4. #20282412	C₂	semidirect
5. #20282363	C₂	semidirect
6. #20282361	C₂	semidirect
7. #20282359	C₂	semidirect
8. #20282358	C₂	semidirect
9. #20281925	C₂	semidirect
10. #20281924	C₂	semidirect
11. #20281734	C₂	semidirect
12. #20281730	C₂	semidirect
13. #20281214	C₂	semidirect
14. #20281211	C₂	semidirect
15. #20281207	C₂	semidirect
16. #20281205	C₂	semidirect
17. #20281085	C₂	semidirect
18. #20280524	C₂	semidirect
19. #20280524	C₂	semidirect
20. #20278397	C₂	semidirect
21. #20278395	C₂	semidirect
22. #20278389	C₂	semidirect
23. #20278387	C₂	semidirect
24. #20278383	C₂	semidirect
25. #20278380	C₂	semidirect
26. #20278379	C₂	semidirect
27. #20278378	C₂	semidirect
31. C₅₃×#2848	C₂	semidirect
33. C₂×#13133197	C₂²	semidirect
35. C₂×#13133196	C₂²	semidirect
36. C₂×#13133196	C₂²	semidirect
37. C₂×#13133195	C₂²	semidirect
38. C₂×#13133195	C₂²	semidirect
41. C₂×#13133193	C₂²	semidirect
49. #16810564	C₂²	semidirect
50. #16810564	C₂²	semidirect
51. #16810563	C₂²	semidirect
52. #16810561	C₂²	semidirect
53. #16810560	C₂²	semidirect
54. #16810559	C₂²	semidirect
55. #16810559	C₂²	semidirect
56. #16810559	C₂²	semidirect
57. #16810559	C₂²	semidirect
58. #16810558	C₂²	semidirect
59. #16810558	C₂²	semidirect
60. #16810558	C₂²	semidirect
61. #16810557	C₂²	semidirect
62. #16810557	C₂²	semidirect
63. #16810556	C₂²	semidirect
64. #16810556	C₂²	semidirect
65. #16810554	C₂²	semidirect
66. #16810554	C₂²	semidirect
67. #16810553	C₂²	semidirect
68. #16810553	C₂²	semidirect
69. #16810547	C₂²	semidirect
70. #16810547	C₂²	semidirect
71. #16810546	C₂²	semidirect
72. #16810546	C₂²	semidirect
73. #16810546	C₂²	semidirect
74. #16810546	C₂²	semidirect
75. #16810546	C₂²	semidirect
76. #16810546	C₂²	semidirect
77. #16810546	C₂²	semidirect
78. #16810546	C₂²	semidirect
79. #16810545	C₂²	semidirect
80. #16810545	C₂²	semidirect
81. #16810545	C₂²	semidirect
82. #16810545	C₂²	semidirect
83. #16810545	C₂²	semidirect
84. #16810545	C₂²	semidirect
85. #16810544	C₂²	semidirect
86. #16810543	C₂²	semidirect
87. #16810543	C₂²	semidirect
88. #16810542	C₂²	semidirect
89. #16810536	C₂²	semidirect
90. #16810536	C₂²	semidirect
91. #16810536	C₂²	semidirect
92. #16810535	C₂²	semidirect
93. #16810535	C₂²	semidirect
94. #16810535	C₂²	semidirect
95. #16810535	C₂²	semidirect
96. #16810534	C₂²	semidirect
97. #16810530	C₂²	semidirect
98. #16810528	C₂²	semidirect
99. #16810527	C₂²	semidirect
100. #16810527	C₂²	semidirect
109. #16810522	C₂²	semidirect
110. #16810519	C₂²	semidirect
111. #16810518	C₂²	semidirect
112. #16810518	C₂²	semidirect
113. #16810509	C₂²	semidirect
114. #16810509	C₂²	semidirect
115. #16810508	C₂²	semidirect
116. #16810508	C₂²	semidirect
117. #16810505	C₂²	semidirect
118. #16810505	C₂²	semidirect
119. #16810504	C₂²	semidirect
120. #16810504	C₂²	semidirect
139. #16810497	C₂²	semidirect
140. #16810497	C₂²	semidirect
141. #16810497	C₂²	semidirect
142. #16810497	C₂²	semidirect
145. #16810496	C₂²	semidirect
146. #16810496	C₂²	semidirect
147. #16810496	C₂²	semidirect
148. #16810496	C₂²	semidirect
151. #16810494	C₂²	semidirect
152. #16810494	C₂²	semidirect
153. #16810494	C₂²	semidirect
154. #16810494	C₂²	semidirect
158. #16810483	C₂²	semidirect
159. #16810483	C₂²	semidirect
160. #16810482	C₂²	semidirect
161. #16810482	C₂²	semidirect
164. #16810480	C₂²	semidirect
165. #16810480	C₂²	semidirect
174. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
175. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
178. C₅₃×#385	C₂²	semidirect
179. C₅₃×#385	C₂²	semidirect
180. C₅₃×#385	C₂²	semidirect
181. C₅₃×#385	C₂²	semidirect
183. C₅₃×#380	C₂²	semidirect
184. C₅₃×#380	C₂²	semidirect
193. C₂²×C₂²⋊D₅₃	Q₈	semidirect
790. #2848	D₅₃	semidirect
844. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
845. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
961. #385	C₂×D₅₃	semidirect
962. #385	C₂×D₅₃	semidirect
963. #385	C₂×D₅₃	semidirect
964. #385	C₂×D₅₃	semidirect
977. #380	C₂×D₅₃	semidirect
978. #380	C₂×D₅₃	semidirect
987. C₅₃	#36747	semidirect

Maximal subgroups

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

subgroup	index
#20283002	2
#20282657	2
#20282414	2
#20282412	2
#20282363	2
#20282361	2
#20282359	2
#20282358	2
#20281925	2
#20281924	2
#20281734	2
#20281730	2
#20281214	2
#20281211	2
#20281207	2
#20281205	2
#20281085	2
#20280524	2
#20278397	2
#20278395	2
#20278389	2
#20278387	2
#20278383	2
#20278380	2
#20278379	2
#20278378	2
#20277296	2
#20277291	2
C₂×#16810502	2
C₅₃×#2848	2
#36747	53