Subgroups — #28266486

Order 13568.

1840 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288659	C₂	1	1	yes	maximal, characteristic, complemented
2	#20287711	C₂	1	1	yes	maximal, characteristic, complemented
3	#20287586	C₂	1	1	yes	maximal, characteristic, complemented
4	#20287536	C₂	1	1	yes	maximal, characteristic, complemented
5	#20287483	C₂	1	1	yes	maximal, characteristic, complemented
6	#20287094	C₂	1	1	yes	maximal, characteristic, complemented
7	#20287088	C₂	1	1	yes	maximal, characteristic, complemented
8	#20287066	C₂	1	1	yes	maximal, characteristic, complemented
9	#20286968	C₂	1	1	yes	maximal, characteristic, complemented
10	#20286925	C₂	1	1	yes	maximal, characteristic, complemented
11	#20286850	C₂	1	1	yes	maximal, characteristic, complemented
12	#20286790	C₂	1	1	yes	maximal, characteristic, complemented
13	#20286766	C₂	1	1	yes	maximal, characteristic, complemented
14	#20286706	C₂	1	1	yes	maximal, characteristic, complemented
15	#20286423	C₂	1	1	yes	maximal, characteristic, complemented
16	#20286423	C₂	1	1	yes	maximal, characteristic, complemented
17	D₄×#11719924	C₂	1	1	yes	maximal, characteristic, complemented
18	#20285344	C₂	1	1	yes	maximal, characteristic, complemented
19	#20285326	C₂	1	1	yes	maximal, characteristic, complemented
20	#20285279	C₂	1	1	yes	maximal, characteristic, complemented
21	#20284944	C₂	1	1	yes	maximal, characteristic, complemented
22	#20284923	C₂	1	1	yes	maximal, characteristic, complemented
23	#20284914	C₂	1	1	yes	maximal, characteristic, complemented
24	#20284893	C₂	1	1	yes	maximal, characteristic, complemented
25	#20284886	C₂	1	1	yes	maximal, characteristic, complemented
26	#20284849	C₂	1	1	yes	maximal, characteristic, complemented
27	#20283691	C₂	1	1	yes	maximal, characteristic, complemented
28	#20283596	C₂	1	1	yes	maximal, characteristic, complemented
29	#20283574	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×#11719924	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3516	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13133237	C₂²	1	1	yes	characteristic
33	C₂²×#11719924	C₂²	1	1	yes	characteristic
34	C₂²×#11719924	C₂²	1	1	yes	characteristic
35	#16811358	C₂²	1	1	yes	characteristic
36	#16811333	C₂²	1	1	yes	characteristic
37	#16811324	—	2	1	no	—
38	#16811319	C₂²	1	1	yes	characteristic
39	#16811313	C₂²	1	1	yes	characteristic
40	#16811300	—	2	1	no	—
41	#16811298	—	2	1	no	—
42	#16811277	C₂²	1	1	yes	characteristic
43	#16811269	C₂²	1	1	yes	characteristic
44	#16811269	C₂²	1	1	yes	characteristic
45	#16811262	—	2	1	no	—
46	D₄×D₂₁₂	C₂²	1	1	yes	characteristic
47	#16811244	C₂²	1	1	yes	characteristic
48	#16811228	C₂²	1	1	yes	characteristic
49	#16811221	—	2	1	no	—
50	#16811207	—	2	1	no	—
51	#16811157	C₂²	1	1	yes	characteristic
52	#16811131	—	2	1	no	—
53	#123×D₅₃	—	2	1	no	—
54	#16811103	C₂²	1	1	yes	characteristic
55	#16811097	C₂²	1	1	yes	characteristic
56	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic
57	#16811022	C₂²	1	1	yes	characteristic, complemented
58	#16811022	C₂²	1	1	yes	characteristic, complemented
59	#16811019	C₂²	1	1	yes	characteristic, complemented
60	#16811005	C₂²	1	1	yes	characteristic, complemented
61	#16811005	C₂²	1	1	yes	characteristic, complemented
62	#16810997	C₂²	1	1	yes	characteristic
63	#16810991	C₂²	1	1	yes	characteristic, complemented
64	#16810989	C₂²	1	1	yes	characteristic
65	#16810985	C₂²	1	1	yes	characteristic, complemented
66	#16810982	C₂²	1	1	yes	characteristic, complemented
67	#16810980	C₂²	1	1	yes	characteristic, complemented
68	#16810977	C₂²	1	1	yes	characteristic, complemented
69	#16810964	C₂²	1	1	yes	characteristic, complemented
70	#16810961	C₂²	1	1	yes	characteristic, complemented
71	#16810958	C₂²	1	1	yes	characteristic, complemented
72	#16810956	C₂²	1	1	yes	characteristic, complemented
73	#16810951	C₂²	1	1	yes	characteristic, complemented
74	#16810951	C₂²	1	1	yes	characteristic, complemented
75	#16810947	C₂²	1	1	yes	characteristic
76	#16810944	C₂²	1	1	yes	characteristic, complemented
77	#16810941	C₂²	1	1	yes	characteristic
78	#16810941	C₂²	1	1	yes	characteristic, complemented
79	#16810936	C₂²	1	1	yes	characteristic, complemented
80	#16810934	C₂²	1	1	yes	characteristic, complemented
81	#16810930	C₂²	1	1	yes	characteristic, complemented
82	#16810930	C₂²	1	1	yes	characteristic, complemented
83	#16810930	C₂²	1	1	yes	characteristic, complemented
84	#16810927	C₂²	1	1	yes	characteristic, complemented
85	#16810923	C₂²	1	1	yes	characteristic, complemented
86	#16810920	C₂²	1	1	yes	characteristic
87	#16810920	C₂²	1	1	yes	characteristic
88	#16810920	C₂²	1	1	yes	characteristic, complemented
89	#16810918	C₂²	1	1	yes	characteristic, complemented
90	#16810910	C₂²	1	1	yes	characteristic, complemented
91	#16810908	C₂²	1	1	yes	characteristic, complemented
92	#16810900	C₂²	1	1	yes	characteristic
93	#16810879	C₂²	1	1	yes	characteristic, complemented
94	#16810874	C₂²	1	1	yes	characteristic
95	#16810871	C₂²	1	1	yes	characteristic, complemented
96	#16810871	C₂²	1	1	yes	characteristic, complemented
97	#16810862	C₂²	1	1	yes	characteristic, complemented
98	#16810857	C₂²	1	1	yes	characteristic
99	#16810854	C₂²	1	1	yes	characteristic
100	#16810854	C₂²	1	1	yes	characteristic
101	#16810854	C₂²	1	1	yes	characteristic, complemented
102	#16810854	C₂²	1	1	yes	characteristic, complemented
103	#16810850	C₂²	1	1	yes	characteristic, complemented
104	#16810850	C₂²	1	1	yes	characteristic, complemented
105	#16810845	C₂²	1	1	yes	characteristic, complemented
106	#16810845	C₂²	1	1	yes	characteristic, complemented
107	#16810845	C₂²	1	1	yes	characteristic, complemented
108	#16810845	C₂²	1	1	yes	characteristic, complemented
109	#16810835	C₂²	1	1	yes	characteristic
110	#16810835	C₂²	1	1	yes	characteristic
111	#16810835	C₂²	1	1	yes	characteristic, complemented
112	#16810835	C₂²	1	1	yes	characteristic, complemented
113	#16810830	C₂²	1	1	yes	characteristic, complemented
114	#16810825	C₂²	1	1	yes	characteristic
115	#16810823	C₂²	1	1	yes	characteristic
116	#16810818	C₂²	1	1	yes	characteristic
117	#16810783	C₂²	1	1	yes	characteristic
118	#16810783	C₂²	1	1	yes	characteristic
119	#16810779	C₂²	1	1	yes	characteristic, complemented
120	#16810779	C₂²	1	1	yes	characteristic, complemented
121	#16810773	C₂²	1	1	yes	characteristic
122	#16810773	C₂²	1	1	yes	characteristic
123	#16810768	C₂²	1	1	yes	characteristic, complemented
124	#16810768	C₂²	1	1	yes	characteristic, complemented
125	#16810762	C₂²	1	1	yes	characteristic
126	#16810762	C₂²	1	1	yes	characteristic
127	#16810756	C₂²	1	1	yes	characteristic
128	#16810756	C₂²	1	1	yes	characteristic
129	#16810754	C₂²	1	1	yes	characteristic, complemented
130	Q₈×#88322	C₂²	1	1	yes	characteristic, complemented
131	#16810733	C₂²	1	1	yes	characteristic
132	#16810733	C₂²	1	1	yes	characteristic
133	#16810733	C₂²	1	1	yes	characteristic, complemented
134	#16810728	C₂²	1	1	yes	characteristic, complemented
135	#16810728	C₂²	1	1	yes	characteristic, complemented
136	#16810728	C₂²	1	1	yes	characteristic, complemented
137	#16810721	C₂²	1	1	yes	characteristic
138	#16810721	C₂²	1	1	yes	characteristic
139	#16810721	C₂²	1	1	yes	characteristic, complemented
140	#16810721	C₂²	1	1	yes	characteristic, complemented
141	#16810721	C₂²	1	1	yes	characteristic, complemented
142	#16810721	C₂²	1	1	yes	characteristic, complemented
143	C₄×#11719925	C₂²	1	1	yes	characteristic, complemented
144	C₄×#11719924	C₂²	1	1	yes	characteristic
145	C₄×#11719924	C₂²	1	1	yes	characteristic
146	C₄×#11719924	C₂²	1	1	yes	characteristic
147	C₄×#11719924	C₂²	1	1	yes	characteristic
148	C₄×#11719924	C₂²	1	1	yes	characteristic
149	C₄×#11719924	C₂²	1	1	yes	characteristic
150	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
151	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
152	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
153	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
154	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
155	C₄×#11719924	C₂²	1	1	yes	characteristic, complemented
156	C₄×#11719923	C₂²	1	1	yes	characteristic, complemented
157	C₄×#11719923	C₂²	1	1	yes	characteristic, complemented
158	C₄×#11719922	C₂²	1	1	yes	characteristic, complemented
159	#16810701	C₂²	1	1	yes	characteristic, complemented
160	#16810695	C₂²	1	1	yes	characteristic
161	#16810695	C₂²	1	1	yes	characteristic, complemented
162	D₄×#88322	C₂²	1	1	yes	characteristic
163	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
164	D₄×#88322	C₂²	1	1	yes	characteristic, complemented
165	#16810684	C₂²	1	1	yes	characteristic, complemented
166	#16810684	C₂²	1	1	yes	characteristic, complemented
167	#16810680	C₂²	1	1	yes	characteristic, complemented
168	#16810659	C₂²	1	1	yes	characteristic, complemented
169	C₂×#13133148	C₂²	1	1	yes	characteristic, complemented
170	C₂×#13133148	C₂²	1	1	yes	characteristic, complemented
171	#16810632	C₂²	1	1	yes	characteristic, complemented
172	#16810627	C₂²	1	1	yes	characteristic
173	#16810624	C₂²	1	1	yes	characteristic, complemented
174	#16810622	C₂²	1	1	yes	characteristic
175	C₂×#13133141	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133137	C₂²	1	1	yes	characteristic
177	#16810579	C₂²	1	1	yes	characteristic, complemented
178	#16810579	C₂²	1	1	yes	characteristic, complemented
179	C₂×C₄×#88322	C₂²	1	1	yes	characteristic, complemented
180	C₅₃×#557	C₂²	1	1	yes	characteristic, complemented
181	C₅₃×#556	—	2	1	no	—
182	C₅₃×#556	C₂²	1	1	yes	characteristic, complemented
183	C₅₃×#554	—	2	1	no	—
184	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
185	C₅₃×#553	—	2	1	no	—
186	C₅₃×#553	C₂²	1	1	yes	characteristic
187	C₅₃×#552	—	2	1	no	—
188	C₅₃×#552	C₂²	1	1	yes	characteristic, complemented
189	D₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic
190	C₅₃×#548	C₂²	1	1	yes	characteristic, complemented
191	C₅₃×#548	C₂²	1	1	yes	characteristic, complemented
192	C₅₃×#542	—	2	1	no	—
193	C₅₃×#542	C₂²	1	1	yes	characteristic, complemented
194	C₅₃×#541	—	2	1	no	—
195	C₅₃×#541	C₂²	1	1	yes	characteristic, complemented
196	C₅₃×#529	—	2	1	no	—
197	C₅₃×#529	—	2	1	no	—
198	C₅₃×#529	C₂²	1	1	yes	characteristic
199	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
200	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
201	C₅₃×#519	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11719945	C₂³	1	1	yes	characteristic
204	C₂×#11719947	—	2	1	no	—
205	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
206	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅₃	—	2	1	no	—
208	C₂²×C₄×D₅₃	—	2	1	no	—
209	#13133237	—	2	4	no	—
210	C₂×#11719925	C₂³	1	1	yes	characteristic
211	C₂×#11719925	C₂³	1	1	yes	characteristic
212	C₂×#11719925	C₂³	1	1	yes	characteristic
213	C₂×#11719923	C₂³	1	1	yes	characteristic
214	C₂×#11719924	—	2	4	no	—
215	C₂×#11719924	—	2	4	no	—
216	C₂×#11719924	C₂³	1	1	yes	characteristic
217	C₂×#11719924	C₂³	1	1	yes	characteristic
218	C₂×#11719924	C₂³	1	1	yes	characteristic
219	C₂×#11719924	C₂³	1	1	yes	characteristic
220	C₂×#11719924	C₂³	1	1	yes	characteristic
221	C₂×#11719924	C₂³	1	1	yes	characteristic
222	C₂×#11719924	C₂³	1	1	yes	characteristic
223	C₂×#11719924	C₂³	1	1	yes	characteristic
224	C₂×#11719924	C₂³	1	1	yes	characteristic
225	C₂×#11719922	C₂³	1	1	yes	characteristic
226	C₂×#11719922	C₂³	1	1	yes	characteristic
227	C₂×#11719922	C₂³	1	1	yes	characteristic
228	C₂×#11719917	C₂³	1	1	yes	characteristic
229	C₂×#11719917	C₂³	1	1	yes	characteristic
230	C₂²×#88322	C₂³	1	1	yes	characteristic
231	C₂²×#88322	C₂³	1	1	yes	characteristic
232	C₂²×#88322	C₂³	1	1	yes	characteristic
233	C₂²×#88322	C₂³	1	1	yes	characteristic
234	#13133217	C₂³	1	1	yes	characteristic
235	#13133214	C₂³	1	1	yes	characteristic
236	#13133212	—	2	1	no	—
237	#13133212	—	2	1	no	—
238	#13133211	—	2	1	no	—
239	#13133210	—	2	1	no	—
240	#13133209	C₂³	1	1	yes	characteristic
241	#13133209	C₂³	1	1	yes	characteristic
242	#13133207	—	2	1	no	—
243	#13133206	—	2	1	no	—
244	#13133205	C₂³	1	1	yes	characteristic
245	#13133205	C₂³	1	1	yes	characteristic
246	#13133203	—	2	1	no	—
247	#13133202	—	2	1	no	—
248	#13133202	—	2	1	no	—
249	#13133202	—	2	1	no	—
250	#13133202	—	2	1	no	—
251	#13133202	—	2	1	no	—
252	#13133202	—	2	1	no	—
253	#13133201	—	2	1	no	—
254	#13133201	—	2	1	no	—
255	#13133200	—	2	1	no	—
256	#13133199	—	2	1	no	—
257	#13133199	—	2	1	no	—
258	#13133198	—	2	1	no	—
259	#13133197	—	2	1	no	—
260	#13133196	C₂³	1	1	yes	characteristic
261	#13133196	C₂³	1	1	yes	characteristic
262	#13133195	—	2	1	no	—
263	#13133195	—	2	1	no	—
264	#13133195	—	2	1	no	—
265	#13133193	—	2	1	no	—
266	#13133192	—	2	1	no	—
267	#13133191	C₂³	1	1	yes	characteristic
268	#13133191	C₂³	1	1	yes	characteristic
269	#13133191	C₂³	1	1	yes	characteristic
270	#13133191	C₂³	1	1	yes	characteristic
271	#13133190	—	2	1	no	—
272	#13133190	—	2	1	no	—
273	#13133190	—	2	1	no	—
274	#13133190	—	2	1	no	—
275	#13133189	—	2	1	no	—
276	#13133187	—	2	1	no	—
277	#13133187	—	2	1	no	—
278	#13133185	—	2	1	no	—
279	#13133185	—	2	1	no	—
280	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
281	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic
282	C₄×D₂₁₂	—	2	1	no	—
283	C₄×D₂₁₂	—	2	1	no	—
284	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
285	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
286	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
287	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
288	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
289	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
290	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
291	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
292	#13133179	—	2	1	no	—
293	#13133179	—	2	1	no	—
294	#13133179	—	2	1	no	—
295	C₄×C₂²⋊D₅₃	—	2	1	no	—
296	#13133177	—	2	1	no	—
297	#13133177	—	2	1	no	—
298	#13133177	—	2	1	no	—
299	#13133176	C₂³	1	1	yes	characteristic
300	#13133175	—	2	1	no	—
301	#13133174	—	2	1	no	—
302	#13133173	—	2	1	no	—
303	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
305	C₄⋊C₄×D₅₃	—	2	1	no	—
306	C₄⋊C₄×D₅₃	—	2	1	no	—
307	C₂×#11719921	—	2	1	no	—
308	C₂²⋊C₄×D₅₃	—	2	1	no	—
309	C₂²⋊C₄×D₅₃	—	2	1	no	—
310	C₂²⋊C₄×D₅₃	—	2	1	no	—
311	C₂²⋊C₄×D₅₃	—	2	1	no	—
312	#13133150	C₂³	1	1	yes	characteristic
313	#13133150	C₂³	1	1	yes	characteristic
314	#13133150	C₂³	1	1	yes	characteristic
315	#13133150	C₂³	1	1	yes	characteristic
316	#13133150	C₂³	1	1	yes	characteristic
317	#13133150	C₂³	1	1	yes	characteristic
318	#13133148	C₂³	1	1	yes	characteristic
319	#13133148	C₂³	1	1	yes	characteristic
320	#13133148	C₂³	1	1	yes	characteristic
321	#13133148	C₂³	1	1	yes	characteristic
322	#13133148	C₂³	1	1	yes	characteristic
323	#13133148	C₂³	1	1	yes	characteristic
324	#13133148	C₂³	1	1	yes	characteristic
325	#13133148	C₂³	1	1	yes	characteristic
326	#13133148	C₂³	1	1	yes	characteristic
327	#13133148	C₂³	1	1	yes	characteristic
328	C₄⋊#88322	C₂³	1	1	yes	characteristic
329	C₄⋊#88322	C₂³	1	1	yes	characteristic
330	C₄⋊#88322	C₂³	1	1	yes	characteristic
331	C₄⋊#88322	C₂³	1	1	yes	characteristic
332	C₄⋊#88322	C₂³	1	1	yes	characteristic
333	C₄⋊#88322	C₂³	1	1	yes	characteristic
334	#13133141	C₂³	1	1	yes	characteristic
335	#13133141	C₂³	1	1	yes	characteristic
336	#13133141	C₂³	1	1	yes	characteristic
337	#13133141	C₂³	1	1	yes	characteristic
338	#13133141	C₂³	1	1	yes	characteristic
339	#13133141	C₂³	1	1	yes	characteristic
340	#13133141	C₂³	1	1	yes	characteristic
341	#13133141	C₂³	1	1	yes	characteristic
342	#13133141	C₂³	1	1	yes	characteristic
343	#13133141	C₂³	1	1	yes	characteristic
344	#13133141	C₂³	1	1	yes	characteristic
345	#13133141	C₂³	1	1	yes	characteristic
346	#13133140	C₂³	1	1	yes	characteristic
347	#13133140	C₂³	1	1	yes	characteristic
348	#13133140	C₂³	1	1	yes	characteristic
349	#13133140	C₂³	1	1	yes	characteristic
350	#13133138	C₂³	1	1	yes	characteristic
351	#13133138	C₂³	1	1	yes	characteristic
352	#13133138	C₂³	1	1	yes	characteristic
353	#13133138	C₂³	1	1	yes	characteristic
354	#13133137	C₂³	1	1	yes	characteristic
355	#13133137	C₂³	1	1	yes	characteristic
356	#13133137	C₂³	1	1	yes	characteristic
357	#13133137	C₂³	1	1	yes	characteristic
358	#13133137	C₂³	1	1	yes	characteristic
359	#13133137	C₂³	1	1	yes	characteristic
360	#13133137	C₂³	1	1	yes	characteristic
361	#13133137	C₂³	1	1	yes	characteristic
362	#13133137	C₂³	1	1	yes	characteristic
363	#13133137	C₂³	1	1	yes	characteristic
364	#13133137	C₂³	1	1	yes	characteristic
365	#13133137	C₂³	1	1	yes	characteristic
366	C₂²⋊#88322	C₂³	1	1	yes	characteristic
367	C₂²⋊#88322	C₂³	1	1	yes	characteristic
368	C₂²⋊#88322	C₂³	1	1	yes	characteristic
369	C₂²⋊#88322	C₂³	1	1	yes	characteristic
370	C₂²⋊#88322	C₂³	1	1	yes	characteristic
371	C₂²⋊#88322	C₂³	1	1	yes	characteristic
372	#13133128	C₂³	1	1	yes	characteristic
373	#13133128	C₂³	1	1	yes	characteristic
374	#13133128	C₂³	1	1	yes	characteristic
375	#13133128	C₂³	1	1	yes	characteristic
376	C₄×#88322	C₂³	1	1	yes	characteristic
377	C₄×#88322	C₂³	1	1	yes	characteristic
378	C₄×#88322	C₂³	1	1	yes	characteristic
379	C₄×#88322	C₂³	1	1	yes	characteristic
380	C₄×#88322	C₂³	1	1	yes	characteristic
381	C₄×#88322	C₂³	1	1	yes	characteristic
382	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
383	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
384	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic
385	C₄⋊Q₈×C₅₃	—	2	1	no	—
386	C₄⋊Q₈×C₅₃	—	2	1	no	—
387	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
388	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
389	#126×C₅₃	—	2	1	no	—
390	#126×C₅₃	—	2	1	no	—
391	#126×C₅₃	—	2	1	no	—
392	#126×C₅₃	—	2	1	no	—
393	#126×C₅₃	—	2	1	no	—
394	#126×C₅₃	—	2	1	no	—
395	#126×C₅₃	—	2	1	no	—
396	#126×C₅₃	—	2	1	no	—
397	#126×C₅₃	D₄	1	1	yes	characteristic
398	#126×C₅₃	D₄	1	1	yes	characteristic
399	#125×C₅₃	—	2	1	no	—
400	#125×C₅₃	—	2	1	no	—
401	#125×C₅₃	—	2	1	no	—
402	#125×C₅₃	—	2	1	no	—
403	#125×C₅₃	—	2	1	no	—
404	#125×C₅₃	—	2	1	no	—
405	#125×C₅₃	D₄	1	1	yes	characteristic
406	#125×C₅₃	C₂³	1	1	yes	characteristic
407	#125×C₅₃	C₂³	1	1	yes	characteristic
408	#124×C₅₃	—	2	1	no	—
409	#124×C₅₃	—	2	1	no	—
410	#124×C₅₃	—	2	1	no	—
411	#124×C₅₃	D₄	1	1	yes	characteristic
412	#124×C₅₃	C₂³	1	1	yes	characteristic
413	#124×C₅₃	C₂³	1	1	yes	characteristic
414	#123×C₅₃	—	2	1	no	—
415	#123×C₅₃	—	2	1	no	—
416	#123×C₅₃	—	2	1	no	—
417	#123×C₅₃	—	2	1	no	—
418	#123×C₅₃	D₄	1	1	yes	characteristic
419	#123×C₅₃	D₄	1	1	yes	characteristic
420	C₂²⋊Q₈×C₅₃	—	2	1	no	—
421	C₂²⋊Q₈×C₅₃	—	2	1	no	—
422	C₂²⋊Q₈×C₅₃	—	2	1	no	—
423	C₂²⋊Q₈×C₅₃	—	2	1	no	—
424	C₂²⋊Q₈×C₅₃	—	2	1	no	—
425	C₂²⋊Q₈×C₅₃	—	2	1	no	—
426	C₂²⋊Q₈×C₅₃	—	2	1	no	—
427	C₂²⋊Q₈×C₅₃	—	2	1	no	—
428	C₂²⋊Q₈×C₅₃	D₄	1	1	yes	characteristic
429	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
430	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
431	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
432	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic
433	#121×C₅₃	—	2	1	no	—
434	#121×C₅₃	—	2	1	no	—
435	#121×C₅₃	—	2	1	no	—
436	#121×C₅₃	D₄	1	1	yes	characteristic
437	#121×C₅₃	C₂³	1	1	yes	characteristic
438	#121×C₅₃	C₂³	1	1	yes	characteristic
439	C₄×Q₈×C₅₃	—	2	1	no	—
440	C₄×Q₈×C₅₃	—	2	1	no	—
441	C₄×Q₈×C₅₃	—	2	1	no	—
442	C₄×Q₈×C₅₃	—	2	1	no	—
443	C₄×Q₈×C₅₃	—	2	1	no	—
444	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
445	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
446	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
447	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
448	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
449	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
450	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
451	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
452	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic
453	C₄×D₄×C₅₃	—	2	1	no	—
454	C₄×D₄×C₅₃	—	2	1	no	—
455	C₄×D₄×C₅₃	—	2	1	no	—
456	C₄×D₄×C₅₃	—	2	1	no	—
457	C₄×D₄×C₅₃	—	2	1	no	—
458	C₄×D₄×C₅₃	—	2	1	no	—
459	C₄×D₄×C₅₃	—	2	1	no	—
460	C₄×D₄×C₅₃	—	2	1	no	—
461	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
462	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
463	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
464	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
465	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
466	#117×C₅₃	—	2	1	no	—
467	#117×C₅₃	—	2	1	no	—
468	#117×C₅₃	—	2	1	no	—
469	#117×C₅₃	—	2	1	no	—
470	#117×C₅₃	—	2	1	no	—
471	#117×C₅₃	—	2	1	no	—
472	#117×C₅₃	C₂³	1	1	yes	characteristic
473	#117×C₅₃	C₂³	1	1	yes	characteristic
474	#117×C₅₃	C₂³	1	1	yes	characteristic
475	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
476	C₂×C₄⋊C₄×C₅₃	—	2	1	no	—
477	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
478	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
479	C₂×C₄²×C₅₃	—	2	1	no	—
480	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic
481	C₂³×D₅₃	—	2	1	no	—
482	C₂³×D₅₃	—	2	1	no	—
483	#41×C₅₃	—	2	2	no	—
484	#41×C₅₃	—	4	1	no	—
485	C₂×Q₈×C₅₃	—	2	1	no	—
486	C₂×Q₈×C₅₃	—	2	1	no	—
487	C₂×Q₈×C₅₃	—	2	1	no	—
488	C₂×Q₈×C₅₃	—	2	2	no	—
489	C₂×Q₈×C₅₃	—	2	2	no	—
490	C₂×Q₈×C₅₃	—	4	1	no	—
491	C₂×Q₈×C₅₃	—	4	1	no	—
492	C₂×Q₈×C₅₃	C₂×D₄	1	1	yes	characteristic
493	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
494	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
495	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
496	C₂×D₄×C₅₃	—	2	1	no	—
497	C₂×D₄×C₅₃	—	2	1	no	—
498	C₂×D₄×C₅₃	—	2	1	no	—
499	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
500	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
501	C₂×D₄×C₅₃	C₂×D₄	1	1	yes	characteristic
502	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₅₃	—	2	1	no	—
504	C₂²×C₄×C₅₃	—	2	1	no	—
505	C₂²×C₄×C₅₃	—	2	1	no	—
506	C₂²×C₄×C₅₃	—	2	1	no	—
507	C₂²×C₄×C₅₃	—	2	1	no	—
508	C₂²×C₄×C₅₃	—	2	1	no	—
509	C₂²×C₄×C₅₃	—	2	1	no	—
510	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
511	C₂²×C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
512	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
515	C₂×C₂²⋊D₅₃	—	2	1	no	—
516	C₂×C₂²⋊D₅₃	—	2	1	no	—
517	C₂×C₂²⋊D₅₃	—	2	1	no	—
518	C₂×C₂²⋊D₅₃	—	2	1	no	—
519	C₂×C₂²⋊D₅₃	—	2	1	no	—
520	C₂²×Dic₅₃	—	2	1	no	—
521	C₂²×Dic₅₃	—	2	1	no	—
522	#11719947	—	8	2	no	—
523	D₄×D₅₃	—	8	2	no	—
524	#11719945	—	2	2	no	—
525	#11719945	—	4	1	no	—
526	C₂×D₂₁₂	—	2	2	no	—
527	C₂×D₂₁₂	—	2	2	no	—
528	C₂×D₂₁₂	—	2	1	no	—
529	C₂×D₂₁₂	—	2	1	no	—
530	C₂×D₂₁₂	—	2	1	no	—
531	C₂×D₂₁₂	—	2	1	no	—
532	C₂×D₂₁₂	—	4	1	no	—
533	C₂×D₂₁₂	—	4	1	no	—
534	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
535	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
536	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₅₃	—	2	1	no	—
538	C₂×C₄×D₅₃	—	2	1	no	—
539	C₂×C₄×D₅₃	—	2	1	no	—
540	C₂×C₄×D₅₃	—	2	1	no	—
541	C₂×C₄×D₅₃	—	2	1	no	—
542	C₂×C₄×D₅₃	—	2	1	no	—
543	C₂×C₄×D₅₃	—	2	1	no	—
544	C₂×C₄×D₅₃	—	2	1	no	—
545	C₂×C₄×D₅₃	—	2	1	no	—
546	C₂×C₄×D₅₃	—	8	2	no	—
547	C₂×Dic₁₀₆	—	2	1	no	—
548	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
549	C₄⋊C₄×C₅₃	—	2	1	no	—
550	C₄⋊C₄×C₅₃	—	2	1	no	—
551	C₄⋊C₄×C₅₃	—	2	1	no	—
552	C₄⋊C₄×C₅₃	—	2	1	no	—
553	C₄⋊C₄×C₅₃	—	2	1	no	—
554	C₄⋊C₄×C₅₃	—	2	1	no	—
555	C₄⋊C₄×C₅₃	—	2	1	no	—
556	C₄⋊C₄×C₅₃	—	2	1	no	—
557	C₄⋊C₄×C₅₃	—	2	1	no	—
558	C₄⋊C₄×C₅₃	—	2	1	no	—
559	C₄⋊C₄×C₅₃	—	2	1	no	—
560	C₄⋊C₄×C₅₃	—	2	1	no	—
561	C₄⋊C₄×C₅₃	—	2	1	no	—
562	C₄⋊C₄×C₅₃	—	2	1	no	—
563	C₄⋊C₄×C₅₃	—	2	1	no	—
564	C₄⋊C₄×C₅₃	—	2	1	no	—
565	C₄⋊C₄×C₅₃	—	2	1	no	—
566	C₄⋊C₄×C₅₃	—	2	1	no	—
567	C₄⋊C₄×C₅₃	—	2	1	no	—
568	C₄⋊C₄×C₅₃	—	2	1	no	—
569	C₄⋊C₄×C₅₃	—	2	1	no	—
570	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
571	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
572	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
573	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
574	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
575	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
576	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
577	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
578	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
579	C₄⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
580	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
581	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
582	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
583	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
584	C₂²⋊C₄×C₅₃	—	2	1	no	—
585	C₂²⋊C₄×C₅₃	—	2	1	no	—
586	C₂²⋊C₄×C₅₃	—	2	1	no	—
587	C₂²⋊C₄×C₅₃	—	2	1	no	—
588	C₂²⋊C₄×C₅₃	—	2	1	no	—
589	C₂²⋊C₄×C₅₃	—	2	1	no	—
590	C₂²⋊C₄×C₅₃	—	2	1	no	—
591	C₂²⋊C₄×C₅₃	—	2	1	no	—
592	C₂²⋊C₄×C₅₃	—	2	1	no	—
593	C₂²⋊C₄×C₅₃	—	2	1	no	—
594	C₂²⋊C₄×C₅₃	—	2	1	no	—
595	C₂²⋊C₄×C₅₃	—	2	1	no	—
596	C₂²⋊C₄×C₅₃	—	2	1	no	—
597	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
598	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
599	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
600	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
601	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
602	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
603	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
604	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
605	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
606	C₂²⋊C₄×C₅₃	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₅₃	—	2	1	no	—
608	C₄²×C₅₃	—	2	1	no	—
609	C₄²×C₅₃	—	2	1	no	—
610	C₄²×C₅₃	—	2	1	no	—
611	C₄²×C₅₃	—	2	1	no	—
612	C₄²×C₅₃	—	2	1	no	—
613	C₄²×C₅₃	—	2	1	no	—
614	C₄²×C₅₃	—	2	1	no	—
615	C₄²×C₅₃	—	2	1	no	—
616	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₅₃	C₂×D₄	1	1	yes	characteristic
618	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
619	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
620	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
621	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
622	C₂²⋊Dic₅₃	—	2	1	no	—
623	C₂²⋊Dic₅₃	—	2	1	no	—
624	C₂²⋊Dic₅₃	—	2	1	no	—
625	#11719925	—	2	2	no	—
626	#11719925	—	4	1	no	—
627	#11719925	—	4	1	no	—
628	#11719924	—	2	2	no	—
629	#11719924	—	2	2	no	—
630	#11719924	—	2	2	no	—
631	#11719924	—	2	2	no	—
632	#11719924	—	2	2	no	—
633	#11719924	—	2	2	no	—
634	#11719924	—	4	1	no	—
635	#11719924	—	4	1	no	—
636	#11719924	#41	1	4	yes	complemented
637	#11719923	—	2	2	no	—
638	#11719922	—	2	2	no	—
639	#11719922	—	4	1	no	—
640	#11719922	—	4	1	no	—
641	#11719921	—	2	1	no	—
642	#11719921	—	2	1	no	—
643	#11719921	—	2	1	no	—
644	#11719921	—	2	1	no	—
645	#11719921	—	2	1	no	—
646	#11719921	—	2	1	no	—
647	#11719921	—	2	1	no	—
648	#11719921	—	2	1	no	—
649	#11719921	—	2	1	no	—
650	#11719921	—	2	1	no	—
651	#11719921	—	2	1	no	—
652	#11719921	—	2	1	no	—
653	#11719921	—	2	1	no	—
654	#11719921	—	2	1	no	—
655	#11719921	—	2	1	no	—
656	#11719921	—	2	1	no	—
657	C₄⋊Dic₅₃	—	2	1	no	—
658	C₄⋊Dic₅₃	—	2	1	no	—
659	C₄⋊Dic₅₃	—	2	1	no	—
660	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
663	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
664	#11719919	—	2	1	no	—
665	#11719919	—	2	1	no	—
666	#11719919	—	2	1	no	—
667	#11719919	—	2	1	no	—
668	#11719919	—	2	1	no	—
669	#11719919	—	2	1	no	—
670	#11719919	—	2	1	no	—
671	#11719919	—	2	1	no	—
672	C₄×Dic₅₃	—	2	1	no	—
673	C₄×Dic₅₃	—	2	1	no	—
674	C₄×Dic₅₃	—	2	1	no	—
675	#11719917	—	4	1	no	—
676	#11719917	—	4	1	no	—
677	C₂×#88322	—	2	2	no	—
678	C₂×#88322	—	2	2	no	—
679	C₂×#88322	—	2	2	no	—
680	C₂×#88322	—	4	1	no	—
681	C₂×#88322	C₂⁴	1	1	yes	characteristic
682	C₂×#88322	C₂⁴	1	1	yes	characteristic
683	C₂×#88322	C₂⁴	1	1	yes	characteristic
684	C₂×#88322	C₂⁴	1	1	yes	characteristic
685	C₂×#88322	C₂⁴	1	1	yes	characteristic
686	C₂×#88322	C₂⁴	1	1	yes	characteristic
687	C₂×#88322	C₂⁴	1	1	yes	characteristic
688	C₂×#88322	C₂⁴	1	1	yes	characteristic
689	C₂³×C₅₃	—	2	1	no	—
690	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
691	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
692	C₂³×C₅₃	C₂²×D₄	1	1	yes	characteristic
693	C₂²×D₅₃	—	2	1	no	—
694	C₂²×D₅₃	—	2	1	no	—
695	C₂²×D₅₃	—	2	1	no	—
696	C₂²×D₅₃	—	4	2	no	—
697	C₂²×D₅₃	—	4	2	no	—
698	C₂²×D₅₃	—	4	2	no	—
699	C₂²×D₅₃	—	8	1	no	—
700	C₂²×D₅₃	—	8	1	no	—
701	C₂²×D₅₃	—	8	1	no	—
702	Q₈×C₅₃	—	2	1	no	—
703	Q₈×C₅₃	—	2	1	no	—
704	Q₈×C₅₃	—	2	1	no	—
705	Q₈×C₅₃	—	2	1	no	—
706	Q₈×C₅₃	—	2	1	no	—
707	Q₈×C₅₃	—	4	1	no	—
708	Q₈×C₅₃	—	4	2	no	—
709	Q₈×C₅₃	—	4	2	no	—
710	Q₈×C₅₃	—	8	1	no	—
711	Q₈×C₅₃	C₂×#41	1	2	yes	—
712	D₄×C₅₃	—	2	2	no	—
713	D₄×C₅₃	—	2	2	no	—
714	D₄×C₅₃	—	2	1	no	—
715	D₄×C₅₃	—	2	1	no	—
716	D₄×C₅₃	—	4	1	no	—
717	D₄×C₅₃	—	4	2	no	—
718	D₄×C₅₃	—	4	2	no	—
719	D₄×C₅₃	—	8	1	no	—
720	C₂×C₄×C₅₃	—	2	2	no	—
721	C₂×C₄×C₅₃	—	2	1	no	—
722	C₂×C₄×C₅₃	—	2	1	no	—
723	C₂×C₄×C₅₃	—	2	1	no	—
724	C₂×C₄×C₅₃	—	2	1	no	—
725	C₂×C₄×C₅₃	—	2	1	no	—
726	C₂×C₄×C₅₃	—	2	1	no	—
727	C₂×C₄×C₅₃	—	2	1	no	—
728	C₂×C₄×C₅₃	—	2	1	no	—
729	C₂×C₄×C₅₃	—	2	1	no	—
730	C₂×C₄×C₅₃	—	2	1	no	—
731	C₂×C₄×C₅₃	—	2	1	no	—
732	C₂×C₄×C₅₃	—	2	1	no	—
733	C₂×C₄×C₅₃	—	2	1	no	—
734	C₂×C₄×C₅₃	—	4	1	no	—
735	C₂×C₄×C₅₃	—	4	2	no	—
736	C₂×C₄×C₅₃	—	4	2	no	—
737	C₂×C₄×C₅₃	—	4	2	no	—
738	C₂×C₄×C₅₃	—	8	1	no	—
739	C₂×C₄×C₅₃	—	8	1	no	—
740	C₂×C₄×C₅₃	—	8	1	no	—
741	C₂×C₄×C₅₃	—	8	1	no	—
742	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
743	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
744	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
745	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
746	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
747	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
748	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
749	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
750	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
751	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
752	C₂×C₄×C₅₃	C₂²×D₄	1	1	yes	characteristic
753	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
754	C₂²⋊D₅₃	—	4	2	no	—
755	C₂²⋊D₅₃	—	4	2	no	—
756	C₂²⋊D₅₃	—	8	1	no	—
757	C₂²⋊D₅₃	—	8	1	no	—
758	C₂²⋊D₅₃	—	8	1	no	—
759	C₂×Dic₅₃	—	2	1	no	—
760	C₂×Dic₅₃	—	2	1	no	—
761	C₂×Dic₅₃	—	2	1	no	—
762	C₂×Dic₅₃	—	2	1	no	—
763	C₂×Dic₅₃	—	2	1	no	—
764	C₂×Dic₅₃	—	4	2	no	—
765	C₂×Dic₅₃	—	8	1	no	—
766	D₂₁₂	—	2	1	no	—
767	D₂₁₂	—	2	1	no	—
768	D₂₁₂	—	2	1	no	—
769	D₂₁₂	—	2	1	no	—
770	D₂₁₂	—	2	1	no	—
771	D₂₁₂	—	4	2	no	—
772	D₂₁₂	—	4	2	no	—
773	D₂₁₂	—	8	1	no	—
774	D₂₁₂	—	8	1	no	—
775	D₂₁₂	C₂×#41	1	2	yes	—
776	C₄×D₅₃	—	4	2	no	—
777	C₄×D₅₃	—	8	1	no	—
778	C₄×D₅₃	—	8	1	no	—
779	C₄×D₅₃	—	8	1	no	—
780	C₄×D₅₃	—	8	1	no	—
781	C₄×D₅₃	—	8	1	no	—
782	C₄×D₅₃	—	8	1	no	—
783	C₄×D₅₃	—	8	1	no	—
784	C₄×D₅₃	—	8	1	no	—
785	Dic₁₀₆	—	2	1	no	—
786	Dic₁₀₆	—	2	1	no	—
787	Dic₁₀₆	—	8	1	no	—
788	#88322	—	2	1	no	—
789	#88322	—	2	1	no	—
790	#88322	—	2	1	no	—
791	#88322	—	2	1	no	—
792	#88322	—	2	1	no	—
793	#88322	—	2	1	no	—
794	#88322	—	2	1	no	—
795	#88322	C₂×#41	1	2	yes	—
796	#61472	—	53	1	no	maximal, Sylow
797	C₂²×C₅₃	—	2	1	no	—
798	C₂²×C₅₃	—	2	1	no	—
799	C₂²×C₅₃	—	2	1	no	—
800	C₂²×C₅₃	—	2	1	no	—
801	C₂²×C₅₃	—	2	1	no	—
802	C₂²×C₅₃	—	2	1	no	—
803	C₂²×C₅₃	—	2	1	no	—
804	C₂²×C₅₃	—	2	1	no	—
805	C₂²×C₅₃	—	4	1	no	—
806	C₂²×C₅₃	—	4	1	no	—
807	C₂²×C₅₃	—	4	1	no	—
808	C₂²×C₅₃	#577	1	2	yes	—
809	C₂²×C₅₃	C₂³×D₄	1	1	yes	characteristic
810	C₂×D₅₃	—	2	2	no	—
811	C₂×D₅₃	—	4	1	no	—
812	C₂×D₅₃	—	4	1	no	—
813	C₂×D₅₃	—	4	1	no	—
814	C₂×D₅₃	—	4	1	no	—
815	C₂×D₅₃	—	4	1	no	—
816	C₂×D₅₃	—	4	1	no	—
817	C₂×D₅₃	—	4	1	no	—
818	C₂×D₅₃	—	4	1	no	—
819	C₂×D₅₃	—	8	4	no	—
820	C₂×D₅₃	—	16	2	no	—
821	C₄×C₅₃	—	2	1	no	—
822	C₄×C₅₃	—	2	1	no	—
823	C₄×C₅₃	—	2	1	no	—
824	C₄×C₅₃	—	2	1	no	—
825	C₄×C₅₃	—	2	1	no	—
826	C₄×C₅₃	—	2	1	no	—
827	C₄×C₅₃	—	2	1	no	—
828	C₄×C₅₃	—	2	2	no	—
829	C₄×C₅₃	—	2	1	no	—
830	C₄×C₅₃	—	2	1	no	—
831	C₄×C₅₃	—	2	1	no	—
832	C₄×C₅₃	—	2	1	no	—
833	C₄×C₅₃	—	4	1	no	—
834	C₄×C₅₃	—	4	1	no	—
835	C₄×C₅₃	—	4	1	no	—
836	C₄×C₅₃	—	4	1	no	—
837	C₄×C₅₃	—	4	1	no	—
838	C₄×C₅₃	—	4	1	no	—
839	C₄×C₅₃	C₂²×#41	1	1	yes	characteristic
840	C₄×C₅₃	#585	1	1	yes	characteristic
841	Dic₅₃	—	4	1	no	—
842	Dic₅₃	—	4	1	no	—
843	Dic₅₃	—	4	1	no	—
844	Dic₅₃	—	4	1	no	—
845	Dic₅₃	—	4	1	no	—
846	#3516	D₅₃	1	1	yes	characteristic, complemented
847	#3513	—	53	1	no	—
848	#3394	—	53	1	no	—
849	#3381	—	53	1	no	—
850	#3376	—	53	1	no	—
851	#3371	—	53	1	no	—
852	#3337	—	53	1	no	—
853	#3337	—	53	1	no	—
854	#3335	—	53	1	no	—
855	#3326	—	53	1	no	—
856	#3323	—	53	1	no	—
857	#3318	—	53	1	no	—
858	#3314	—	53	1	no	—
859	#3312	—	53	1	no	—
860	#3308	—	53	1	no	—
861	#3282	—	53	1	no	—
862	#3282	—	53	1	no	—
863	D₄×SD₁₆	—	53	1	no	—
864	#3174	—	53	1	no	—
865	#3173	—	53	1	no	—
866	#3168	—	53	1	no	—
867	#3121	—	53	1	no	—
868	#3120	—	53	1	no	—
869	#3119	—	53	1	no	—
870	#3118	—	53	1	no	—
871	#3117	—	53	1	no	—
872	#3114	—	53	1	no	—
873	#2966	—	53	1	no	—
874	#2952	—	53	1	no	—
875	#2949	—	53	1	no	—
876	C₂×C₄×SD₁₆	—	53	1	no	—
877	C₂×C₅₃	—	2	2	no	—
878	C₂×C₅₃	—	4	1	no	—
879	C₂×C₅₃	—	4	1	no	—
880	C₂×C₅₃	—	8	1	no	—
881	C₂×C₅₃	D₄×#41	1	1	yes	characteristic
882	C₂×C₅₃	C₂×#577	1	1	yes	characteristic
883	C₂×C₅₃	#3584	1	1	yes	characteristic
884	D₅₃	—	4	2	no	—
885	D₅₃	—	8	1	no	—
886	D₅₃	—	8	1	no	—
887	C₂×#135	—	53	1	no	—
888	C₂²×SD₁₆	—	53	1	no	—
889	C₂²×SD₁₆	—	53	1	no	—
890	#559	—	53	1	no	—
891	#557	C₂×D₅₃	1	1	yes	characteristic, complemented
892	#556	—	2	1	no	—
893	#556	C₂×D₅₃	1	1	yes	characteristic, complemented
894	#554	—	2	1	no	—
895	#554	—	53	1	no	—
896	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
897	#553	—	2	1	no	—
898	#553	—	53	1	no	—
899	#553	—	106	1	no	—
900	#553	C₂×D₅₃	1	1	yes	characteristic
901	#552	—	2	1	no	—
902	#552	—	53	1	no	—
903	#552	C₂×D₅₃	1	1	yes	characteristic, complemented
904	#551	—	106	1	no	—
905	#551	—	106	1	no	—
906	D₄×Q₈	C₂×D₅₃	1	1	yes	characteristic
907	#548	C₂×D₅₃	1	1	yes	characteristic, complemented
908	#548	C₂×D₅₃	1	1	yes	characteristic, complemented
909	#547	—	53	1	no	—
910	#546	—	53	1	no	—
911	#546	—	53	1	no	—
912	#546	—	106	1	no	—
913	D₄²	—	53	1	no	—
914	#542	—	2	1	no	—
915	#542	—	53	1	no	—
916	#542	C₂×D₅₃	1	1	yes	characteristic, complemented
917	#541	—	2	1	no	—
918	#541	C₂×D₅₃	1	1	yes	characteristic, complemented
919	#540	—	53	1	no	—
920	#539	—	106	1	no	—
921	#538	—	106	1	no	—
922	#529	—	2	1	no	—
923	#529	—	2	1	no	—
924	#529	—	53	1	no	—
925	#529	C₂×D₅₃	1	1	yes	characteristic
926	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
927	#525	—	106	1	no	—
928	C₂×#123	—	106	1	no	—
929	#520	—	53	1	no	—
930	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
931	#519	C₂×D₅₃	1	1	yes	characteristic, complemented
932	#518	—	53	1	no	—
933	C₂×C₄×Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
934	C₂×C₄×D₄	—	53	1	no	—
935	#499	—	53	1	no	—
936	#499	—	53	1	no	—
937	#498	—	53	1	no	—
938	#495	—	53	1	no	—
939	#495	—	53	1	no	—
940	#492	—	53	1	no	—
941	#491	—	53	1	no	—
942	#490	—	53	1	no	—
943	#489	—	53	1	no	—
944	#489	—	53	1	no	—
945	#488	—	53	1	no	—
946	#488	—	53	1	no	—
947	#485	—	53	1	no	—
948	#485	—	53	1	no	—
949	#484	—	53	1	no	—
950	#484	—	53	1	no	—
951	#483	—	53	1	no	—
952	#483	—	53	1	no	—
953	#482	—	53	1	no	—
954	#482	—	53	1	no	—
955	#481	—	53	1	no	—
956	#481	—	53	1	no	—
957	#480	—	53	1	no	—
958	#480	—	53	1	no	—
959	#479	—	53	1	no	—
960	#479	—	53	1	no	—
961	#479	—	53	1	no	—
962	#479	—	53	1	no	—
963	#478	—	53	1	no	—
964	#478	—	53	1	no	—
965	#478	—	53	1	no	—
966	#478	—	53	1	no	—
967	#477	—	53	1	no	—
968	#476	—	53	1	no	—
969	#475	—	53	1	no	—
970	#474	—	53	1	no	—
971	#470	—	53	1	no	—
972	#469	—	53	1	no	—
973	#468	—	53	1	no	—
974	#468	—	53	1	no	—
975	#467	—	53	1	no	—
976	#466	—	53	1	no	—
977	#465	—	53	1	no	—
978	#465	—	53	1	no	—
979	#465	—	53	1	no	—
980	#465	—	53	1	no	—
981	#465	—	53	1	no	—
982	#465	—	53	1	no	—
983	#464	—	53	1	no	—
984	#464	—	53	1	no	—
985	#464	—	53	1	no	—
986	#464	—	53	1	no	—
987	#463	—	53	1	no	—
988	#463	—	53	1	no	—
989	#463	—	53	1	no	—
990	#463	—	53	1	no	—
991	#462	—	53	1	no	—
992	#461	—	53	1	no	—
993	#460	—	53	1	no	—
994	#459	—	53	1	no	—
995	#452	—	53	1	no	—
996	#452	—	53	1	no	—
997	#451	—	53	1	no	—
998	#451	—	53	1	no	—
999	#450	—	53	1	no	—
1000	#450	—	53	1	no	—
1001	#449	—	53	1	no	—
1002	#449	—	53	1	no	—
1003	#448	—	53	1	no	—
1004	#448	—	53	1	no	—
1005	#447	—	53	1	no	—
1006	#447	—	53	1	no	—
1007	#446	—	53	1	no	—
1008	C₈×Q₈	—	53	1	no	—
1009	#442	—	53	1	no	—
1010	#442	—	53	1	no	—
1011	#442	—	53	1	no	—
1012	#441	—	53	1	no	—
1013	#441	—	53	1	no	—
1014	#441	—	53	1	no	—
1015	#440	—	53	1	no	—
1016	#440	—	53	1	no	—
1017	#440	—	53	1	no	—
1018	#440	—	53	1	no	—
1019	#440	—	53	1	no	—
1020	#440	—	53	1	no	—
1021	C₄×Q₁₆	—	53	1	no	—
1022	C₄×SD₁₆	—	53	1	no	—
1023	C₄×SD₁₆	—	53	1	no	—
1024	C₄×SD₁₆	—	53	1	no	—
1025	C₄×SD₁₆	—	53	1	no	—
1026	C₄×SD₁₆	—	53	1	no	—
1027	C₄×SD₁₆	—	53	1	no	—
1028	C₄×SD₁₆	—	53	1	no	—
1029	C₄×SD₁₆	—	53	1	no	—
1030	C₄×SD₁₆	—	53	1	no	—
1031	C₄×SD₁₆	—	53	1	no	—
1032	C₄×SD₁₆	—	53	1	no	—
1033	C₄×SD₁₆	—	53	1	no	—
1034	C₄×SD₁₆	—	53	1	no	—
1035	C₄×SD₁₆	—	53	1	no	—
1036	C₄×D₈	—	53	1	no	—
1037	#436	—	53	1	no	—
1038	#435	—	53	1	no	—
1039	#435	—	53	1	no	—
1040	C₈×D₄	—	53	1	no	—
1041	C₈×D₄	—	53	1	no	—
1042	C₈×D₄	—	53	1	no	—
1043	#433	—	53	1	no	—
1044	#433	—	53	1	no	—
1045	#432	—	53	1	no	—
1046	#427	—	53	1	no	—
1047	C₂×#106	—	53	1	no	—
1048	C₂×#106	—	53	1	no	—
1049	#419	—	53	1	no	—
1050	#418	—	53	1	no	—
1051	#417	—	53	1	no	—
1052	#417	—	53	1	no	—
1053	C₂×#103	—	53	1	no	—
1054	C₂×#102	—	53	1	no	—
1055	#405	—	53	1	no	—
1056	#405	—	53	1	no	—
1057	C₂×C₄×C₈	—	53	1	no	—
1058	C₅₃	#61472	1	1	yes	characteristic, complemented, Sylow
1059	C₂×#41	—	53	1	no	—
1060	C₂×#41	—	106	1	no	—
1061	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1062	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1063	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1064	C₂²×D₄	—	53	1	no	—
1065	C₂²×D₄	—	53	1	no	—
1066	C₂²×D₄	—	106	1	no	—
1067	C₂³×C₄	—	106	1	no	—
1068	#135	—	106	4	no	—
1069	C₂×Q₁₆	—	53	1	no	—
1070	C₂×Q₁₆	—	53	1	no	—
1071	C₂×Q₁₆	—	53	1	no	—
1072	C₂×SD₁₆	—	53	1	no	—
1073	C₂×SD₁₆	—	53	1	no	—
1074	C₂×SD₁₆	—	53	1	no	—
1075	C₂×SD₁₆	—	53	1	no	—
1076	C₂×SD₁₆	—	53	1	no	—
1077	C₂×SD₁₆	—	53	1	no	—
1078	C₂×SD₁₆	—	53	1	no	—
1079	C₂×SD₁₆	—	53	1	no	—
1080	C₂×SD₁₆	—	53	1	no	—
1081	C₂×SD₁₆	—	53	1	no	—
1082	C₂×SD₁₆	—	106	4	no	—
1083	C₂×SD₁₆	—	106	4	no	—
1084	C₂×D₈	—	53	1	no	—
1085	C₂×D₈	—	53	1	no	—
1086	C₂×D₈	—	53	1	no	—
1087	C₂×M₁₆	—	53	1	no	—
1088	C₂×M₁₆	—	53	1	no	—
1089	C₂²×C₈	—	53	1	no	—
1090	C₂²×C₈	—	53	1	no	—
1091	C₂²×C₈	—	53	1	no	—
1092	C₂²×C₈	—	53	1	no	—
1093	C₄⋊Q₈	—	2	1	no	—
1094	C₄⋊Q₈	—	2	1	no	—
1095	C₄⋊Q₈	—	53	1	no	—
1096	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1097	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1098	#127	—	53	1	no	—
1099	#126	—	2	1	no	—
1100	#126	—	2	1	no	—
1101	#126	—	2	1	no	—
1102	#126	—	2	1	no	—
1103	#126	—	2	1	no	—
1104	#126	—	2	1	no	—
1105	#126	—	2	1	no	—
1106	#126	—	2	1	no	—
1107	#126	—	106	1	no	—
1108	#126	—	106	1	no	—
1109	#126	—	106	1	no	—
1110	#126	—	106	1	no	—
1111	#126	C₂²⋊D₅₃	1	1	yes	characteristic
1112	#126	C₂²⋊D₅₃	1	1	yes	characteristic
1113	#125	—	2	1	no	—
1114	#125	—	2	1	no	—
1115	#125	—	2	1	no	—
1116	#125	—	2	1	no	—
1117	#125	—	2	1	no	—
1118	#125	—	2	1	no	—
1119	#125	—	53	1	no	—
1120	#125	—	53	1	no	—
1121	#125	—	106	1	no	—
1122	#125	C₂²⋊D₅₃	1	1	yes	characteristic
1123	#125	C₂²×D₅₃	1	1	yes	characteristic
1124	#125	C₂²×D₅₃	1	1	yes	characteristic
1125	#124	—	2	1	no	—
1126	#124	—	2	1	no	—
1127	#124	—	2	1	no	—
1128	#124	—	53	1	no	—
1129	#124	—	53	1	no	—
1130	#124	—	106	1	no	—
1131	#124	—	106	1	no	—
1132	#124	C₂²⋊D₅₃	1	1	yes	characteristic
1133	#124	C₂²×D₅₃	1	1	yes	characteristic
1134	#124	C₂²×D₅₃	1	1	yes	characteristic
1135	#123	—	2	1	no	—
1136	#123	—	2	1	no	—
1137	#123	—	2	1	no	—
1138	#123	—	2	1	no	—
1139	#123	—	106	1	no	—
1140	#123	—	106	1	no	—
1141	#123	—	106	1	no	—
1142	#123	—	106	1	no	—
1143	#123	—	106	1	no	—
1144	#123	—	106	1	no	—
1145	#123	—	106	1	no	—
1146	#123	—	106	1	no	—
1147	#123	—	106	1	no	—
1148	#123	—	106	1	no	—
1149	#123	—	106	1	no	—
1150	#123	—	106	1	no	—
1151	#123	C₂²⋊D₅₃	1	1	yes	characteristic
1152	#123	C₂²⋊D₅₃	1	1	yes	characteristic
1153	C₂²⋊Q₈	—	2	1	no	—
1154	C₂²⋊Q₈	—	2	1	no	—
1155	C₂²⋊Q₈	—	2	1	no	—
1156	C₂²⋊Q₈	—	2	1	no	—
1157	C₂²⋊Q₈	—	2	1	no	—
1158	C₂²⋊Q₈	—	2	1	no	—
1159	C₂²⋊Q₈	—	2	1	no	—
1160	C₂²⋊Q₈	—	2	1	no	—
1161	C₂²⋊Q₈	—	53	1	no	—
1162	C₂²⋊Q₈	—	53	1	no	—
1163	C₂²⋊Q₈	—	106	1	no	—
1164	C₂²⋊Q₈	—	106	1	no	—
1165	C₂²⋊Q₈	—	106	1	no	—
1166	C₂²⋊Q₈	—	106	1	no	—
1167	C₂²⋊Q₈	—	106	1	no	—
1168	C₂²⋊Q₈	C₂²⋊D₅₃	1	1	yes	characteristic
1169	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1170	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1172	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	53	1	no	—
1177	#121	—	53	1	no	—
1178	#121	—	53	1	no	—
1179	#121	—	53	1	no	—
1180	#121	—	106	1	no	—
1181	#121	—	106	1	no	—
1182	#121	—	106	1	no	—
1183	#121	—	106	1	no	—
1184	#121	—	106	1	no	—
1185	#121	—	106	1	no	—
1186	#121	C₂²⋊D₅₃	1	1	yes	characteristic
1187	#121	C₂²×D₅₃	1	1	yes	characteristic
1188	#121	C₂²×D₅₃	1	1	yes	characteristic
1189	#120	—	106	1	no	—
1190	#120	—	106	1	no	—
1191	#120	—	106	1	no	—
1192	#120	—	106	1	no	—
1193	C₄×Q₈	—	2	1	no	—
1194	C₄×Q₈	—	2	1	no	—
1195	C₄×Q₈	—	2	1	no	—
1196	C₄×Q₈	—	2	1	no	—
1197	C₄×Q₈	—	2	1	no	—
1198	C₄×Q₈	—	53	1	no	—
1199	C₄×Q₈	—	53	1	no	—
1200	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1201	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1202	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1203	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1204	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1205	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1206	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1207	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1208	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic
1209	C₄×D₄	—	2	1	no	—
1210	C₄×D₄	—	2	1	no	—
1211	C₄×D₄	—	2	1	no	—
1212	C₄×D₄	—	2	1	no	—
1213	C₄×D₄	—	2	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	2	1	no	—
1216	C₄×D₄	—	2	1	no	—
1217	C₄×D₄	—	53	1	no	—
1218	C₄×D₄	—	53	1	no	—
1219	C₄×D₄	—	53	1	no	—
1220	C₄×D₄	—	53	1	no	—
1221	C₄×D₄	—	53	1	no	—
1222	C₄×D₄	—	53	1	no	—
1223	C₄×D₄	—	53	1	no	—
1224	C₄×D₄	—	53	1	no	—
1225	C₄×D₄	—	106	1	no	—
1226	C₄×D₄	—	106	1	no	—
1227	C₄×D₄	—	106	1	no	—
1228	C₄×D₄	—	106	1	no	—
1229	C₄×D₄	—	106	1	no	—
1230	C₄×D₄	—	106	1	no	—
1231	C₄×D₄	—	106	1	no	—
1232	C₄×D₄	—	106	1	no	—
1233	C₄×D₄	—	106	1	no	—
1234	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1235	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1236	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1237	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1238	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
1239	#117	—	2	1	no	—
1240	#117	—	2	1	no	—
1241	#117	—	2	1	no	—
1242	#117	—	2	1	no	—
1243	#117	—	2	1	no	—
1244	#117	—	2	1	no	—
1245	#117	—	53	1	no	—
1246	#117	—	106	1	no	—
1247	#117	—	106	1	no	—
1248	#117	—	106	1	no	—
1249	#117	C₂²×D₅₃	1	1	yes	characteristic
1250	#117	C₂²×D₅₃	1	1	yes	characteristic
1251	#117	C₂²×D₅₃	1	1	yes	characteristic
1252	C₂×C₄⋊C₄	—	2	1	no	—
1253	C₂×C₄⋊C₄	—	2	1	no	—
1254	C₂×C₄⋊C₄	—	53	1	no	—
1255	C₂×C₄⋊C₄	—	53	1	no	—
1256	C₂×C₄⋊C₄	—	106	1	no	—
1257	C₂×C₄⋊C₄	—	106	1	no	—
1258	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1259	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
1260	C₂×C₂²⋊C₄	—	106	1	no	—
1261	C₂×C₂²⋊C₄	—	106	1	no	—
1262	C₂×C₂²⋊C₄	—	106	1	no	—
1263	C₂×C₂²⋊C₄	—	106	1	no	—
1264	C₂×C₂²⋊C₄	—	106	1	no	—
1265	C₂×C₄²	—	2	1	no	—
1266	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic
1267	#107	—	53	1	no	—
1268	#107	—	53	1	no	—
1269	#107	—	53	1	no	—
1270	#107	—	53	1	no	—
1271	#107	—	53	1	no	—
1272	#107	—	53	1	no	—
1273	#106	—	53	1	no	—
1274	#106	—	53	1	no	—
1275	#106	—	53	1	no	—
1276	#106	—	53	1	no	—
1277	#106	—	53	1	no	—
1278	#106	—	53	1	no	—
1279	#106	—	53	1	no	—
1280	#106	—	53	1	no	—
1281	#106	—	53	1	no	—
1282	#106	—	53	1	no	—
1283	C₄⋊C₈	—	53	1	no	—
1284	C₄⋊C₈	—	53	1	no	—
1285	C₄⋊C₈	—	53	1	no	—
1286	C₄⋊C₈	—	53	1	no	—
1287	C₄⋊C₈	—	53	1	no	—
1288	C₄⋊C₈	—	53	1	no	—
1289	#103	—	53	1	no	—
1290	#103	—	53	1	no	—
1291	#103	—	53	1	no	—
1292	#103	—	53	1	no	—
1293	#103	—	53	1	no	—
1294	#103	—	53	1	no	—
1295	#103	—	53	1	no	—
1296	#103	—	53	1	no	—
1297	#103	—	53	1	no	—
1298	#103	—	53	1	no	—
1299	#103	—	53	1	no	—
1300	#103	—	53	1	no	—
1301	#103	—	53	1	no	—
1302	#103	—	53	1	no	—
1303	#103	—	53	1	no	—
1304	#103	—	53	1	no	—
1305	#102	—	53	1	no	—
1306	#102	—	53	1	no	—
1307	#102	—	53	1	no	—
1308	#102	—	53	1	no	—
1309	#102	—	53	1	no	—
1310	#102	—	53	1	no	—
1311	#102	—	53	1	no	—
1312	#102	—	53	1	no	—
1313	#102	—	53	1	no	—
1314	#102	—	53	1	no	—
1315	#102	—	53	1	no	—
1316	#102	—	53	1	no	—
1317	#102	—	53	1	no	—
1318	#102	—	53	1	no	—
1319	#102	—	53	1	no	—
1320	#102	—	53	1	no	—
1321	C₂²⋊C₈	—	53	1	no	—
1322	C₂²⋊C₈	—	53	1	no	—
1323	C₂²⋊C₈	—	53	1	no	—
1324	C₂²⋊C₈	—	53	1	no	—
1325	C₂²⋊C₈	—	53	1	no	—
1326	C₂²⋊C₈	—	53	1	no	—
1327	#97	—	53	1	no	—
1328	#97	—	53	1	no	—
1329	#97	—	53	1	no	—
1330	#97	—	53	1	no	—
1331	C₄×C₈	—	53	1	no	—
1332	C₄×C₈	—	53	1	no	—
1333	C₄×C₈	—	53	1	no	—
1334	C₄×C₈	—	53	1	no	—
1335	C₄×C₈	—	53	1	no	—
1336	C₄×C₈	—	53	1	no	—
1337	C₂⁴	—	106	1	no	—
1338	C₂⁴	—	106	1	no	—
1339	#41	—	2	2	no	—
1340	#41	—	4	1	no	—
1341	#41	—	106	2	no	—
1342	#41	—	424	2	no	—
1343	#41	—	212	1	no	—
1344	C₂×Q₈	—	2	1	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	2	no	—
1348	C₂×Q₈	—	2	2	no	—
1349	C₂×Q₈	—	4	1	no	—
1350	C₂×Q₈	—	4	1	no	—
1351	C₂×Q₈	—	53	1	no	—
1352	C₂×Q₈	—	106	1	no	—
1353	C₂×Q₈	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1354	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1355	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1356	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
1357	C₂×D₄	—	2	1	no	—
1358	C₂×D₄	—	2	1	no	—
1359	C₂×D₄	—	2	1	no	—
1360	C₂×D₄	—	53	1	no	—
1361	C₂×D₄	—	53	1	no	—
1362	C₂×D₄	—	53	1	no	—
1363	C₂×D₄	—	106	2	no	—
1364	C₂×D₄	—	106	2	no	—
1365	C₂×D₄	—	106	1	no	—
1366	C₂×D₄	—	106	1	no	—
1367	C₂×D₄	—	106	1	no	—
1368	C₂×D₄	—	106	1	no	—
1369	C₂×D₄	—	106	1	no	—
1370	C₂×D₄	—	106	1	no	—
1371	C₂×D₄	—	106	1	no	—
1372	C₂×D₄	—	106	1	no	—
1373	C₂×D₄	—	106	1	no	—
1374	C₂×D₄	—	424	2	no	—
1375	C₂×D₄	—	212	1	no	—
1376	C₂×D₄	—	212	1	no	—
1377	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1378	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1379	C₂×D₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1380	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
1381	C₂²×C₄	—	2	1	no	—
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	2	1	no	—
1387	C₂²×C₄	—	2	1	no	—
1388	C₂²×C₄	—	106	1	no	—
1389	C₂²×C₄	—	106	1	no	—
1390	C₂²×C₄	—	106	1	no	—
1391	C₂²×C₄	—	106	1	no	—
1392	C₂²×C₄	—	106	1	no	—
1393	C₂²×C₄	—	106	1	no	—
1394	C₂²×C₄	—	106	1	no	—
1395	C₂²×C₄	—	106	1	no	—
1396	C₂²×C₄	—	106	1	no	—
1397	C₂²×C₄	—	106	1	no	—
1398	C₂²×C₄	—	106	1	no	—
1399	C₂²×C₄	—	424	2	no	—
1400	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1401	C₂²×C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1402	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1403	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1404	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
1405	Q₁₆	—	106	2	no	—
1406	Q₁₆	—	212	1	no	—
1407	Q₁₆	—	212	1	no	—
1408	SD₁₆	—	53	4	no	—
1409	SD₁₆	—	106	2	no	—
1410	SD₁₆	—	106	2	no	—
1411	SD₁₆	—	106	2	no	—
1412	SD₁₆	—	106	2	no	—
1413	SD₁₆	—	106	2	no	—
1414	SD₁₆	—	106	2	no	—
1415	SD₁₆	—	106	2	no	—
1416	SD₁₆	—	212	1	no	—
1417	SD₁₆	—	212	1	no	—
1418	D₈	—	106	2	no	—
1419	D₈	—	212	1	no	—
1420	D₈	—	212	1	no	—
1421	M₁₆	—	212	1	no	—
1422	M₁₆	—	212	1	no	—
1423	C₂×C₈	—	53	1	no	—
1424	C₂×C₈	—	53	1	no	—
1425	C₂×C₈	—	53	1	no	—
1426	C₂×C₈	—	53	1	no	—
1427	C₂×C₈	—	53	1	no	—
1428	C₂×C₈	—	53	1	no	—
1429	C₂×C₈	—	53	1	no	—
1430	C₂×C₈	—	53	1	no	—
1431	C₂×C₈	—	106	2	no	—
1432	C₂×C₈	—	106	2	no	—
1433	C₂×C₈	—	106	2	no	—
1434	C₂×C₈	—	212	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	2	1	no	—
1448	C₄⋊C₄	—	2	1	no	—
1449	C₄⋊C₄	—	2	1	no	—
1450	C₄⋊C₄	—	2	1	no	—
1451	C₄⋊C₄	—	2	1	no	—
1452	C₄⋊C₄	—	2	1	no	—
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	53	1	no	—
1457	C₄⋊C₄	—	53	1	no	—
1458	C₄⋊C₄	—	53	1	no	—
1459	C₄⋊C₄	—	53	1	no	—
1460	C₄⋊C₄	—	106	1	no	—
1461	C₄⋊C₄	—	106	1	no	—
1462	C₄⋊C₄	—	106	1	no	—
1463	C₄⋊C₄	—	106	1	no	—
1464	C₄⋊C₄	—	106	1	no	—
1465	C₄⋊C₄	—	106	1	no	—
1466	C₄⋊C₄	—	106	1	no	—
1467	C₄⋊C₄	—	106	1	no	—
1468	C₄⋊C₄	—	106	1	no	—
1469	C₄⋊C₄	—	106	1	no	—
1470	C₄⋊C₄	—	106	1	no	—
1471	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1472	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1473	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1474	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1475	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1476	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1477	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1478	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1479	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1480	C₄⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1481	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1482	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1483	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
1485	C₂²⋊C₄	—	2	1	no	—
1486	C₂²⋊C₄	—	2	1	no	—
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	2	1	no	—
1494	C₂²⋊C₄	—	2	1	no	—
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	106	1	no	—
1499	C₂²⋊C₄	—	106	1	no	—
1500	C₂²⋊C₄	—	106	1	no	—
1501	C₂²⋊C₄	—	106	1	no	—
1502	C₂²⋊C₄	—	106	1	no	—
1503	C₂²⋊C₄	—	106	1	no	—
1504	C₂²⋊C₄	—	106	1	no	—
1505	C₂²⋊C₄	—	106	1	no	—
1506	C₂²⋊C₄	—	106	1	no	—
1507	C₂²⋊C₄	—	106	1	no	—
1508	C₂²⋊C₄	—	106	1	no	—
1509	C₂²⋊C₄	—	106	1	no	—
1510	C₂²⋊C₄	—	106	1	no	—
1511	C₂²⋊C₄	—	106	1	no	—
1512	C₂²⋊C₄	—	106	1	no	—
1513	C₂²⋊C₄	—	106	1	no	—
1514	C₂²⋊C₄	—	106	1	no	—
1515	C₂²⋊C₄	—	106	1	no	—
1516	C₂²⋊C₄	—	106	1	no	—
1517	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1518	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1519	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1520	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1521	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1522	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1523	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1524	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1525	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1526	C₂²⋊C₄	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	2	1	no	—
1532	C₄²	—	2	1	no	—
1533	C₄²	—	2	1	no	—
1534	C₄²	—	2	1	no	—
1535	C₄²	—	2	1	no	—
1536	C₄²	—	106	1	no	—
1537	C₄²	—	106	1	no	—
1538	C₄²	—	106	1	no	—
1539	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1540	C₄²	C₂×C₂²⋊D₅₃	1	1	yes	characteristic
1541	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1542	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1543	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1544	C₄²	C₂³×D₅₃	1	1	yes	characteristic
1545	C₂³	—	2	1	no	—
1546	C₂³	—	106	1	no	—
1547	C₂³	—	106	1	no	—
1548	C₂³	—	106	1	no	—
1549	C₂³	—	424	1	no	—
1550	C₂³	—	424	1	no	—
1551	C₂³	—	424	1	no	—
1552	C₂³	—	212	2	no	—
1553	C₂³	—	212	2	no	—
1554	C₂³	—	212	2	no	—
1555	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1556	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1557	C₂³	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1558	Q₈	—	2	1	no	—
1559	Q₈	—	2	1	no	—
1560	Q₈	—	2	1	no	—
1561	Q₈	—	2	1	no	—
1562	Q₈	—	2	1	no	—
1563	Q₈	—	4	1	no	—
1564	Q₈	—	4	2	no	—
1565	Q₈	—	4	2	no	—
1566	Q₈	—	8	1	no	—
1567	Q₈	—	106	1	no	—
1568	Q₈	—	106	1	no	—
1569	Q₈	—	424	1	no	—
1570	Q₈	#41×D₅₃	1	2	yes	—
1571	D₄	—	2	2	no	—
1572	D₄	—	2	2	no	—
1573	D₄	—	2	1	no	—
1574	D₄	—	2	1	no	—
1575	D₄	—	4	1	no	—
1576	D₄	—	4	2	no	—
1577	D₄	—	4	2	no	—
1578	D₄	—	8	1	no	—
1579	D₄	—	53	2	no	—
1580	D₄	—	106	1	no	—
1581	D₄	—	106	1	no	—
1582	D₄	—	106	1	no	—
1583	D₄	—	106	1	no	—
1584	D₄	—	106	1	no	—
1585	D₄	—	424	1	no	—
1586	D₄	—	424	1	no	—
1587	D₄	—	424	1	no	—
1588	D₄	—	424	1	no	—
1589	D₄	—	424	1	no	—
1590	D₄	—	212	2	no	—
1591	D₄	—	212	2	no	—
1592	D₄	—	212	2	no	—
1593	D₄	—	212	2	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	1	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	4	1	no	—
1609	C₂×C₄	—	4	2	no	—
1610	C₂×C₄	—	4	2	no	—
1611	C₂×C₄	—	4	2	no	—
1612	C₂×C₄	—	8	1	no	—
1613	C₂×C₄	—	8	1	no	—
1614	C₂×C₄	—	8	1	no	—
1615	C₂×C₄	—	8	1	no	—
1616	C₂×C₄	—	106	1	no	—
1617	C₂×C₄	—	106	1	no	—
1618	C₂×C₄	—	106	1	no	—
1619	C₂×C₄	—	106	1	no	—
1620	C₂×C₄	—	106	1	no	—
1621	C₂×C₄	—	424	1	no	—
1622	C₂×C₄	—	424	1	no	—
1623	C₂×C₄	—	424	1	no	—
1624	C₂×C₄	—	424	1	no	—
1625	C₂×C₄	—	424	1	no	—
1626	C₂×C₄	—	424	1	no	—
1627	C₂×C₄	—	424	1	no	—
1628	C₂×C₄	—	424	1	no	—
1629	C₂×C₄	—	424	1	no	—
1630	C₂×C₄	—	212	2	no	—
1631	C₂×C₄	—	212	2	no	—
1632	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1633	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1634	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1635	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1636	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1637	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1638	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1639	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1640	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1641	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1642	C₂×C₄	C₂²×C₂²⋊D₅₃	1	1	yes	characteristic
1643	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
1644	C₈	—	53	2	no	—
1645	C₈	—	106	1	no	—
1646	C₈	—	106	1	no	—
1647	C₈	—	106	1	no	—
1648	C₈	—	106	1	no	—
1649	C₈	—	106	1	no	—
1650	C₈	—	106	1	no	—
1651	C₈	—	106	1	no	—
1652	C₂²	—	2	1	no	—
1653	C₂²	—	2	1	no	—
1654	C₂²	—	2	1	no	—
1655	C₂²	—	2	1	no	—
1656	C₂²	—	2	1	no	—
1657	C₂²	—	2	1	no	—
1658	C₂²	—	2	1	no	—
1659	C₂²	—	2	1	no	—
1660	C₂²	—	4	1	no	—
1661	C₂²	—	4	1	no	—
1662	C₂²	—	4	1	no	—
1663	C₂²	—	848	2	no	—
1664	C₂²	—	106	2	no	—
1665	C₂²	—	424	4	no	—
1666	C₂²	—	212	1	no	—
1667	C₂²	—	212	1	no	—
1668	C₂²	—	212	1	no	—
1669	C₂²	—	212	1	no	—
1670	C₂²	—	212	1	no	—
1671	C₂²	—	212	1	no	—
1672	C₂²	—	212	1	no	—
1673	C₂²	—	212	1	no	—
1674	C₂²	#16811431	1	2	yes	—
1675	C₂²	C₂³×C₂²⋊D₅₃	1	1	yes	characteristic
1676	C₄	—	2	1	no	—
1677	C₄	—	2	1	no	—
1678	C₄	—	2	1	no	—
1679	C₄	—	2	1	no	—
1680	C₄	—	2	1	no	—
1681	C₄	—	2	1	no	—
1682	C₄	—	2	1	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	2	1	no	—
1685	C₄	—	2	1	no	—
1686	C₄	—	2	1	no	—
1687	C₄	—	2	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	212	1	no	—
1695	C₄	—	212	1	no	—
1696	C₄	—	212	1	no	—
1697	C₄	—	212	1	no	—
1698	C₄	—	212	1	no	—
1699	C₄	C₂×#41×D₅₃	1	1	yes	characteristic
1700	C₄	#16811459	1	1	yes	characteristic
1701	C₂	—	2	2	no	—
1702	C₂	—	4	1	no	—
1703	C₂	—	4	1	no	—
1704	C₂	—	8	1	no	—
1705	C₂	—	424	1	no	—
1706	C₂	—	424	1	no	—
1707	C₂	—	212	2	no	—
1708	C₂	#41×C₂²⋊D₅₃	1	1	yes	characteristic
1709	C₂	C₂×#16811431	1	1	yes	characteristic
1710	C₂	#20289486	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₅₃
commutator, cosocle	C₂×C₄×C₅₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅₃
Fitting	C₅₃×#3516	C₂
socle	C₂²×C₅₃	C₂³×D₄
hypercenter	#3516	D₅₃
hypocenter	C₅₃	#61472
LCS	G ▷ C₂×C₄×C₅₃ ▷ C₂×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3516

Complements

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

N	H ≅ G/N	type
1. #20288659	C₂	semidirect
2. #20287711	C₂	semidirect
3. #20287586	C₂	semidirect
4. #20287536	C₂	semidirect
5. #20287483	C₂	semidirect
6. #20287094	C₂	semidirect
7. #20287088	C₂	semidirect
8. #20287066	C₂	semidirect
9. #20286968	C₂	semidirect
10. #20286925	C₂	semidirect
11. #20286850	C₂	semidirect
12. #20286790	C₂	semidirect
13. #20286766	C₂	semidirect
14. #20286706	C₂	semidirect
15. #20286423	C₂	semidirect
16. #20286423	C₂	semidirect
17. D₄×#11719924	C₂	semidirect
18. #20285344	C₂	semidirect
19. #20285326	C₂	semidirect
20. #20285279	C₂	semidirect
21. #20284944	C₂	semidirect
22. #20284923	C₂	semidirect
23. #20284914	C₂	semidirect
24. #20284893	C₂	semidirect
25. #20284886	C₂	semidirect
26. #20284849	C₂	semidirect
27. #20283691	C₂	semidirect
28. #20283596	C₂	semidirect
29. #20283574	C₂	semidirect
30. C₂×C₄×#11719924	C₂	semidirect
31. C₅₃×#3516	C₂	semidirect
57. #16811022	C₂²	semidirect
58. #16811022	C₂²	semidirect
59. #16811019	C₂²	semidirect
60. #16811005	C₂²	semidirect
61. #16811005	C₂²	semidirect
63. #16810991	C₂²	semidirect
65. #16810985	C₂²	semidirect
66. #16810982	C₂²	semidirect
67. #16810980	C₂²	semidirect
68. #16810977	C₂²	semidirect
69. #16810964	C₂²	semidirect
70. #16810961	C₂²	semidirect
71. #16810958	C₂²	semidirect
72. #16810956	C₂²	semidirect
73. #16810951	C₂²	semidirect
74. #16810951	C₂²	semidirect
76. #16810944	C₂²	semidirect
78. #16810941	C₂²	semidirect
79. #16810936	C₂²	semidirect
80. #16810934	C₂²	semidirect
81. #16810930	C₂²	semidirect
82. #16810930	C₂²	semidirect
83. #16810930	C₂²	semidirect
84. #16810927	C₂²	semidirect
85. #16810923	C₂²	semidirect
88. #16810920	C₂²	semidirect
89. #16810918	C₂²	semidirect
90. #16810910	C₂²	semidirect
91. #16810908	C₂²	semidirect
93. #16810879	C₂²	semidirect
95. #16810871	C₂²	semidirect
96. #16810871	C₂²	semidirect
97. #16810862	C₂²	semidirect
101. #16810854	C₂²	semidirect
102. #16810854	C₂²	semidirect
103. #16810850	C₂²	semidirect
104. #16810850	C₂²	semidirect
105. #16810845	C₂²	semidirect
106. #16810845	C₂²	semidirect
107. #16810845	C₂²	semidirect
108. #16810845	C₂²	semidirect
111. #16810835	C₂²	semidirect
112. #16810835	C₂²	semidirect
113. #16810830	C₂²	semidirect
119. #16810779	C₂²	semidirect
120. #16810779	C₂²	semidirect
123. #16810768	C₂²	semidirect
124. #16810768	C₂²	semidirect
129. #16810754	C₂²	semidirect
130. Q₈×#88322	C₂²	semidirect
133. #16810733	C₂²	semidirect
134. #16810728	C₂²	semidirect
135. #16810728	C₂²	semidirect
136. #16810728	C₂²	semidirect
139. #16810721	C₂²	semidirect
140. #16810721	C₂²	semidirect
141. #16810721	C₂²	semidirect
142. #16810721	C₂²	semidirect
143. C₄×#11719925	C₂²	semidirect
150. C₄×#11719924	C₂²	semidirect
151. C₄×#11719924	C₂²	semidirect
152. C₄×#11719924	C₂²	semidirect
153. C₄×#11719924	C₂²	semidirect
154. C₄×#11719924	C₂²	semidirect
155. C₄×#11719924	C₂²	semidirect
156. C₄×#11719923	C₂²	semidirect
157. C₄×#11719923	C₂²	semidirect
158. C₄×#11719922	C₂²	semidirect
159. #16810701	C₂²	semidirect
161. #16810695	C₂²	semidirect
163. D₄×#88322	C₂²	semidirect
164. D₄×#88322	C₂²	semidirect
165. #16810684	C₂²	semidirect
166. #16810684	C₂²	semidirect
167. #16810680	C₂²	semidirect
168. #16810659	C₂²	semidirect
169. C₂×#13133148	C₂²	semidirect
170. C₂×#13133148	C₂²	semidirect
171. #16810632	C₂²	semidirect
173. #16810624	C₂²	semidirect
175. C₂×#13133141	C₂²	semidirect
177. #16810579	C₂²	semidirect
178. #16810579	C₂²	semidirect
179. C₂×C₄×#88322	C₂²	semidirect
180. C₅₃×#557	C₂²	semidirect
182. C₅₃×#556	C₂²	semidirect
184. C₅₃×#554	C₂²	semidirect
188. C₅₃×#552	C₂²	semidirect
190. C₅₃×#548	C₂²	semidirect
191. C₅₃×#548	C₂²	semidirect
193. C₅₃×#542	C₂²	semidirect
195. C₅₃×#541	C₂²	semidirect
199. C₅₃×#529	C₂²	semidirect
200. C₅₃×#520	C₂²	semidirect
201. C₅₃×#519	C₂²	semidirect
202. C₂×C₄×Q₈×C₅₃	C₂²	semidirect
636. #11719924	#41	semidirect
846. #3516	D₅₃	semidirect
891. #557	C₂×D₅₃	semidirect
893. #556	C₂×D₅₃	semidirect
896. #554	C₂×D₅₃	semidirect
903. #552	C₂×D₅₃	semidirect
907. #548	C₂×D₅₃	semidirect
908. #548	C₂×D₅₃	semidirect
916. #542	C₂×D₅₃	semidirect
918. #541	C₂×D₅₃	semidirect
926. #529	C₂×D₅₃	semidirect
930. #520	C₂×D₅₃	semidirect
931. #519	C₂×D₅₃	semidirect
933. C₂×C₄×Q₈	C₂×D₅₃	semidirect
1058. C₅₃	#61472	semidirect

Maximal subgroups

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

subgroup	index
#20288659	2
#20287711	2
#20287586	2
#20287536	2
#20287483	2
#20287094	2
#20287088	2
#20287066	2
#20286968	2
#20286925	2
#20286850	2
#20286790	2
#20286766	2
#20286706	2
#20286423	2
D₄×#11719924	2
#20285344	2
#20285326	2
#20285279	2
#20284944	2
#20284923	2
#20284914	2
#20284893	2
#20284886	2
#20284849	2
#20283691	2
#20283596	2
#20283574	2
C₂×C₄×#11719924	2
C₅₃×#3516	2
#61472	53