Subgroups — #37548003

Order 23168.

1032 conjugacy classes of subgroups.

The subgroup lattice has 980 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26042032	C₂	1	1	yes	maximal, characteristic, complemented
2	#26042030	C₂	1	1	yes	maximal, characteristic, complemented
3	#26042024	C₂	1	1	yes	maximal, characteristic, complemented
4	#26041998	C₂	1	1	yes	maximal, characteristic, complemented
5	#26041987	C₂	1	1	yes	maximal, characteristic, complemented
6	#26041985	C₂	1	1	yes	maximal, characteristic, complemented
7	#26041983	C₂	1	1	yes	maximal, characteristic, complemented
8	#26041976	C₂	1	1	yes	maximal, characteristic, complemented
9	#26041974	C₂	1	1	yes	maximal, characteristic, complemented
10	#26041974	C₂	1	1	yes	maximal, characteristic, complemented
11	#26041966	C₂	1	1	yes	maximal, characteristic, complemented
12	#26041942	C₂	1	1	yes	maximal, characteristic, complemented
13	#26041937	C₂	1	1	yes	maximal, characteristic, complemented
14	#26041935	C₂	1	1	yes	maximal, characteristic, complemented
15	#26041929	C₂	1	1	yes	maximal, characteristic, complemented
16	#26041902	C₂	1	1	yes	maximal, characteristic, complemented
17	#26041899	C₂	1	1	yes	maximal, characteristic, complemented
18	#26041893	C₂	1	1	yes	maximal, characteristic, complemented
19	#26041888	C₂	1	1	yes	maximal, characteristic, complemented
20	#26041875	C₂	1	1	yes	maximal, characteristic, complemented
21	#26041873	C₂	1	1	yes	maximal, characteristic, complemented
22	#26041865	C₂	1	1	yes	maximal, characteristic, complemented
23	#26041863	C₂	1	1	yes	maximal, characteristic, complemented
24	#26041861	C₂	1	1	yes	maximal, characteristic, complemented
25	#26041861	C₂	1	1	yes	maximal, characteristic, complemented
26	#26041856	C₂	1	1	yes	maximal, characteristic, complemented
27	#26041851	C₂	1	1	yes	maximal, characteristic, complemented
28	#26041789	C₂	1	1	yes	maximal, characteristic, complemented
29	#26041787	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂²⋊Q₈×D₁₈₁	C₂	1	1	yes	maximal, characteristic, complemented
31	#562×C₁₈₁	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#15668448	C₂²	1	1	yes	characteristic
33	C₂×#15668448	C₂²	1	1	yes	characteristic
34	C₂×#15668448	C₂²	1	1	yes	characteristic, complemented
35	C₂²×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
36	C₂×Q₈×D₁₈₁	C₂²	1	1	yes	characteristic
37	C₂²×C₄×D₁₈₁	C₂²	1	1	yes	characteristic
38	#19153815	C₂²	1	1	yes	characteristic, complemented
39	#19153815	C₂²	1	1	yes	characteristic, complemented
40	#19153815	C₂²	1	1	yes	characteristic, complemented
41	#19153815	C₂²	1	1	yes	characteristic, complemented
42	#19153814	C₂²	1	1	yes	characteristic, complemented
43	#19153814	C₂²	1	1	yes	characteristic, complemented
44	#19153811	C₂²	1	1	yes	characteristic
45	#19153811	C₂²	1	1	yes	characteristic
46	#19153811	C₂²	1	1	yes	characteristic
47	#19153811	C₂²	1	1	yes	characteristic, complemented
48	#19153811	C₂²	1	1	yes	characteristic, complemented
49	#19153810	C₂²	1	1	yes	characteristic
50	#19153809	C₂²	1	1	yes	characteristic
51	#19153809	C₂²	1	1	yes	characteristic
52	#19153809	C₂²	1	1	yes	characteristic
53	#19153809	C₂²	1	1	yes	characteristic
54	#19153809	C₂²	1	1	yes	characteristic, complemented
55	#19153809	C₂²	1	1	yes	characteristic, complemented
56	#19153809	C₂²	1	1	yes	characteristic, complemented
57	#19153809	C₂²	1	1	yes	characteristic, complemented
58	#19153807	C₂²	1	1	yes	characteristic, complemented
59	#19153807	C₂²	1	1	yes	characteristic, complemented
60	#19153806	C₂²	1	1	yes	characteristic, complemented
61	#19153806	C₂²	1	1	yes	characteristic, complemented
62	#19153806	C₂²	1	1	yes	characteristic, complemented
63	#19153806	C₂²	1	1	yes	characteristic, complemented
64	#19153806	C₂²	1	1	yes	characteristic, complemented
65	#19153806	C₂²	1	1	yes	characteristic, complemented
66	#19153805	C₂²	1	1	yes	characteristic
67	#19153803	C₂²	1	1	yes	characteristic
68	#19153803	C₂²	1	1	yes	characteristic
69	#19153802	C₂²	1	1	yes	characteristic
70	#19153802	C₂²	1	1	yes	characteristic
71	#19153802	C₂²	1	1	yes	characteristic
72	#19153802	C₂²	1	1	yes	characteristic
73	#19153802	C₂²	1	1	yes	characteristic, complemented
74	#19153802	C₂²	1	1	yes	characteristic, complemented
75	#19153801	C₂²	1	1	yes	characteristic
76	#19153800	C₂²	1	1	yes	characteristic
77	#19153799	C₂²	1	1	yes	characteristic
78	#19153799	C₂²	1	1	yes	characteristic
79	#19153799	C₂²	1	1	yes	characteristic
80	#19153798	C₂²	1	1	yes	characteristic
81	#19153798	C₂²	1	1	yes	characteristic
82	#19153798	C₂²	1	1	yes	characteristic
83	#19153798	C₂²	1	1	yes	characteristic, complemented
84	#19153798	C₂²	1	1	yes	characteristic, complemented
85	#19153797	C₂²	1	1	yes	characteristic
86	#19153797	C₂²	1	1	yes	characteristic
87	#19153797	C₂²	1	1	yes	characteristic, complemented
88	#19153797	C₂²	1	1	yes	characteristic, complemented
89	#19153796	C₂²	1	1	yes	characteristic
90	#19153796	C₂²	1	1	yes	characteristic
91	#19153796	C₂²	1	1	yes	characteristic
92	#19153796	C₂²	1	1	yes	characteristic, complemented
93	#19153795	C₂²	1	1	yes	characteristic
94	#19153795	C₂²	1	1	yes	characteristic
95	#19153794	C₂²	1	1	yes	characteristic
96	#19153794	C₂²	1	1	yes	characteristic
97	#19153794	C₂²	1	1	yes	characteristic
98	#19153794	C₂²	1	1	yes	characteristic
99	#19153794	C₂²	1	1	yes	characteristic
100	#19153794	C₂²	1	1	yes	characteristic
101	#19153794	C₂²	1	1	yes	characteristic, complemented
102	#19153794	C₂²	1	1	yes	characteristic, complemented
103	#19153793	C₂²	1	1	yes	characteristic
104	#19153793	C₂²	1	1	yes	characteristic
105	#19153793	C₂²	1	1	yes	characteristic, complemented
106	#19153793	C₂²	1	1	yes	characteristic, complemented
107	#19153793	C₂²	1	1	yes	characteristic, complemented
108	#19153793	C₂²	1	1	yes	characteristic, complemented
109	#19153793	C₂²	1	1	yes	characteristic, complemented
110	#19153793	C₂²	1	1	yes	characteristic, complemented
111	#19153793	C₂²	1	1	yes	characteristic, complemented
112	#19153793	C₂²	1	1	yes	characteristic, complemented
113	#19153792	C₂²	1	1	yes	characteristic
114	#19153792	C₂²	1	1	yes	characteristic
115	#19153792	C₂²	1	1	yes	characteristic, complemented
116	#19153790	C₂²	1	1	yes	characteristic
117	#19153789	C₂²	1	1	yes	characteristic
118	#19153789	C₂²	1	1	yes	characteristic
119	#19153789	C₂²	1	1	yes	characteristic
120	#19153789	C₂²	1	1	yes	characteristic
121	#19153789	C₂²	1	1	yes	characteristic
122	#19153788	C₂²	1	1	yes	characteristic
123	#19153788	C₂²	1	1	yes	characteristic
124	#19153788	C₂²	1	1	yes	characteristic
125	#19153788	C₂²	1	1	yes	characteristic, complemented
126	#19153788	C₂²	1	1	yes	characteristic, complemented
127	#19153787	C₂²	1	1	yes	characteristic
128	#19153787	C₂²	1	1	yes	characteristic
129	#19153787	C₂²	1	1	yes	characteristic
130	#19153787	C₂²	1	1	yes	characteristic
131	#19153786	C₂²	1	1	yes	characteristic
132	#19153784	C₂²	1	1	yes	characteristic
133	#19153784	C₂²	1	1	yes	characteristic
134	#19153784	C₂²	1	1	yes	characteristic
135	Q₈×Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
136	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
137	C₄×Dic₃₆₂	C₂²	1	1	yes	characteristic, complemented
138	#19153781	C₂²	1	1	yes	characteristic, complemented
139	#19153781	C₂²	1	1	yes	characteristic, complemented
140	C₄×D₇₂₄	C₂²	1	1	yes	characteristic
141	D₄×Dic₁₈₁	C₂²	1	1	yes	characteristic
142	D₄×Dic₁₈₁	C₂²	1	1	yes	characteristic
143	D₄×Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
144	#19153778	C₂²	1	1	yes	characteristic
145	#19153778	C₂²	1	1	yes	characteristic
146	#19153778	C₂²	1	1	yes	characteristic
147	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
148	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
149	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic
150	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₂²⋊D₁₈₁	C₂²	1	1	yes	characteristic, complemented
152	#19153776	C₂²	1	1	yes	characteristic
153	#19153776	C₂²	1	1	yes	characteristic
154	#19153776	C₂²	1	1	yes	characteristic
155	#19153776	C₂²	1	1	yes	characteristic
156	#19153776	C₂²	1	1	yes	characteristic
157	#19153776	C₂²	1	1	yes	characteristic
158	#19153776	C₂²	1	1	yes	characteristic
159	#19153775	C₂²	1	1	yes	characteristic, complemented
160	#19153774	C₂²	1	1	yes	characteristic
161	#19153772	C₂²	1	1	yes	characteristic
162	#19153772	C₂²	1	1	yes	characteristic, complemented
163	#19153772	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄⋊Dic₁₈₁	C₂²	1	1	yes	characteristic, complemented
165	C₂×#15668428	C₂²	1	1	yes	characteristic, complemented
166	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
167	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
168	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
169	C₄⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic, complemented
170	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
171	C₂²⋊C₄×D₁₈₁	C₂²	1	1	yes	characteristic
172	#125×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
173	#124×C₁₈₁	C₂²	1	1	yes	characteristic
174	#124×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
175	#123×C₁₈₁	C₂²	1	1	yes	characteristic
176	#123×C₁₈₁	C₂²	1	1	yes	characteristic
177	#123×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
178	#123×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
179	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic
180	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
181	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
182	C₂²⋊Q₈×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
183	#121×C₁₈₁	C₂²	1	1	yes	characteristic
184	#121×C₁₈₁	C₂²	1	1	yes	characteristic
185	#121×C₁₈₁	C₂²	1	1	yes	characteristic
186	#121×C₁₈₁	C₂²	1	1	yes	characteristic, complemented
187	C₂³×D₁₈₁	C₂³	1	1	yes	characteristic
188	#15668448	—	4	2	no	—
189	#15668448	—	4	2	no	—
190	#15668448	—	4	2	no	—
191	C₂×Dic₃₆₂	—	4	2	no	—
192	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
193	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
194	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
195	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
196	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
197	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
198	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
199	C₂×Dic₃₆₂	C₂³	1	1	yes	characteristic
200	Q₈×D₁₈₁	—	4	2	no	—
201	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
202	C₂×D₇₂₄	C₂³	1	1	yes	characteristic
203	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
204	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
205	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
206	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
207	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
208	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
209	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
210	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
211	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
212	C₂×C₂²⋊D₁₈₁	C₂³	1	1	yes	characteristic
213	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
214	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
215	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
216	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
217	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
218	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
219	C₂²×Dic₁₈₁	C₂³	1	1	yes	characteristic
220	C₂×C₄×D₁₈₁	—	4	2	no	—
221	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
222	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
223	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
224	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
225	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
226	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
227	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
228	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
229	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
230	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
231	C₂×C₄×D₁₈₁	C₂³	1	1	yes	characteristic
232	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
233	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
234	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
235	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
236	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
237	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
238	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
239	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
240	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
241	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
242	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
243	C₄⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
244	#15668428	C₂³	1	1	yes	characteristic
245	#15668428	C₂³	1	1	yes	characteristic
246	#15668428	C₂³	1	1	yes	characteristic
247	#15668428	C₂³	1	1	yes	characteristic
248	#15668428	C₂³	1	1	yes	characteristic
249	#15668428	C₂³	1	1	yes	characteristic
250	#15668428	C₂³	1	1	yes	characteristic
251	#15668428	C₂³	1	1	yes	characteristic
252	#15668428	C₂³	1	1	yes	characteristic
253	#15668428	C₂³	1	1	yes	characteristic
254	#15668428	C₂³	1	1	yes	characteristic
255	#15668428	C₂³	1	1	yes	characteristic
256	#15668428	C₂³	1	1	yes	characteristic
257	#15668428	C₂³	1	1	yes	characteristic
258	#15668428	C₂³	1	1	yes	characteristic
259	#15668428	C₂³	1	1	yes	characteristic
260	#15668428	C₂³	1	1	yes	characteristic
261	#15668428	C₂³	1	1	yes	characteristic
262	#15668428	C₂³	1	1	yes	characteristic
263	#15668428	C₂³	1	1	yes	characteristic
264	#15668428	C₂³	1	1	yes	characteristic
265	#15668428	C₂³	1	1	yes	characteristic
266	#15668428	C₂³	1	1	yes	characteristic
267	#15668428	C₂³	1	1	yes	characteristic
268	#15668428	C₂³	1	1	yes	characteristic
269	#15668428	C₂³	1	1	yes	characteristic
270	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
271	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
272	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
273	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
274	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
275	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
276	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
277	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
278	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
279	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
280	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
281	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
282	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
283	C₂²⋊Dic₁₈₁	C₂³	1	1	yes	characteristic
284	#15668426	C₂³	1	1	yes	characteristic
285	#15668426	C₂³	1	1	yes	characteristic
286	#15668426	C₂³	1	1	yes	characteristic
287	#15668426	C₂³	1	1	yes	characteristic
288	#15668426	C₂³	1	1	yes	characteristic
289	#15668426	C₂³	1	1	yes	characteristic
290	#15668426	C₂³	1	1	yes	characteristic
291	#15668426	C₂³	1	1	yes	characteristic
292	#15668426	C₂³	1	1	yes	characteristic
293	#15668426	C₂³	1	1	yes	characteristic
294	#15668426	C₂³	1	1	yes	characteristic
295	#15668426	C₂³	1	1	yes	characteristic
296	#15668426	C₂³	1	1	yes	characteristic
297	#15668426	C₂³	1	1	yes	characteristic
298	#15668426	C₂³	1	1	yes	characteristic
299	#15668426	C₂³	1	1	yes	characteristic
300	#15668426	C₂³	1	1	yes	characteristic
301	#15668426	C₂³	1	1	yes	characteristic
302	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
303	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
304	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
305	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
306	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
307	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
308	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
309	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
310	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
311	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
312	C₄×Dic₁₈₁	C₂³	1	1	yes	characteristic
313	C₂×Q₈×C₁₈₁	C₂³	1	1	yes	characteristic
314	C₂×Q₈×C₁₈₁	C₂³	1	1	yes	characteristic
315	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
316	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
317	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
318	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
319	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
320	C₂×D₄×C₁₈₁	C₂³	1	1	yes	characteristic
321	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
322	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
323	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
324	C₂²×C₄×C₁₈₁	C₂³	1	1	yes	characteristic
325	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
326	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
327	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
328	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
329	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
330	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
331	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
332	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
333	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
334	C₄⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
335	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
336	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
337	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
338	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
339	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
340	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
341	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
342	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
343	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
344	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
345	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
346	C₂²⋊C₄×C₁₈₁	C₂³	1	1	yes	characteristic
347	C₄²×C₁₈₁	C₂³	1	1	yes	characteristic
348	C₂²×D₁₈₁	—	2	2	no	—
349	C₂²×D₁₈₁	—	4	1	no	—
350	C₂²×D₁₈₁	—	4	1	no	—
351	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
352	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
353	C₂²×D₁₈₁	C₂⁴	1	1	yes	characteristic
354	Dic₃₆₂	—	2	2	no	—
355	Dic₃₆₂	—	2	2	no	—
356	Dic₃₆₂	—	2	2	no	—
357	Dic₃₆₂	—	4	1	no	—
358	Dic₃₆₂	—	4	1	no	—
359	Dic₃₆₂	—	4	1	no	—
360	Dic₃₆₂	—	4	1	no	—
361	Dic₃₆₂	—	4	1	no	—
362	D₇₂₄	—	2	2	no	—
363	D₇₂₄	—	4	1	no	—
364	C₂²⋊D₁₈₁	—	2	2	no	—
365	C₂²⋊D₁₈₁	—	2	2	no	—
366	C₂²⋊D₁₈₁	—	2	2	no	—
367	C₂²⋊D₁₈₁	—	2	2	no	—
368	C₂²⋊D₁₈₁	—	4	1	no	—
369	C₂²⋊D₁₈₁	—	4	1	no	—
370	C₂²⋊D₁₈₁	—	4	1	no	—
371	C₂²⋊D₁₈₁	—	4	1	no	—
372	C₂²⋊D₁₈₁	—	4	1	no	—
373	C₂²⋊D₁₈₁	—	4	1	no	—
374	C₂×Dic₁₈₁	—	2	2	no	—
375	C₂×Dic₁₈₁	—	2	2	no	—
376	C₂×Dic₁₈₁	—	2	2	no	—
377	C₂×Dic₁₈₁	—	4	1	no	—
378	C₂×Dic₁₈₁	—	4	1	no	—
379	C₂×Dic₁₈₁	—	4	1	no	—
380	C₂×Dic₁₈₁	—	4	1	no	—
381	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
382	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
383	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
384	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
385	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
386	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
387	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
388	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
389	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
390	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
391	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
392	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
393	C₂×Dic₁₈₁	C₂⁴	1	1	yes	characteristic
394	C₄×D₁₈₁	—	2	2	no	—
395	C₄×D₁₈₁	—	2	2	no	—
396	C₄×D₁₈₁	—	4	1	no	—
397	C₄×D₁₈₁	—	4	1	no	—
398	C₄×D₁₈₁	—	4	1	no	—
399	C₄×D₁₈₁	—	4	1	no	—
400	C₄×D₁₈₁	—	4	1	no	—
401	C₄×D₁₈₁	—	4	1	no	—
402	C₄×D₁₈₁	—	4	1	no	—
403	C₄×D₁₈₁	—	4	1	no	—
404	C₄×D₁₈₁	—	4	1	no	—
405	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
406	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
407	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
408	C₂³×C₁₈₁	C₂⁴	1	1	yes	characteristic
409	Q₈×C₁₈₁	—	4	1	no	—
410	Q₈×C₁₈₁	—	4	1	no	—
411	D₄×C₁₈₁	—	4	1	no	—
412	D₄×C₁₈₁	—	4	1	no	—
413	D₄×C₁₈₁	—	4	1	no	—
414	D₄×C₁₈₁	—	4	1	no	—
415	D₄×C₁₈₁	—	4	1	no	—
416	D₄×C₁₈₁	—	4	1	no	—
417	C₂×C₄×C₁₈₁	—	4	1	no	—
418	C₂×C₄×C₁₈₁	—	4	1	no	—
419	C₂×C₄×C₁₈₁	—	4	1	no	—
420	C₂×C₄×C₁₈₁	—	4	1	no	—
421	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
422	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
423	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
424	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
425	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
426	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
427	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
428	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
429	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
430	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
431	C₂×C₄×C₁₈₁	C₂⁴	1	1	yes	characteristic
432	C₂²×C₁₈₁	—	2	1	no	—
433	C₂²×C₁₈₁	—	2	1	no	—
434	C₂²×C₁₈₁	—	2	1	no	—
435	C₂²×C₁₈₁	—	2	1	no	—
436	C₂²×C₁₈₁	—	2	1	no	—
437	C₂²×C₁₈₁	—	2	1	no	—
438	C₂²×C₁₈₁	—	2	1	no	—
439	C₂²×C₁₈₁	—	2	1	no	—
440	C₂²×C₁₈₁	—	2	1	no	—
441	C₂²×C₁₈₁	—	2	1	no	—
442	C₂²×C₁₈₁	—	2	1	no	—
443	C₂²×C₁₈₁	—	2	1	no	—
444	C₂²×C₁₈₁	C₂⁵	1	1	yes	characteristic
445	C₂×D₁₈₁	—	2	1	no	—
446	C₂×D₁₈₁	—	2	1	no	—
447	C₂×D₁₈₁	—	2	1	no	—
448	C₂×D₁₈₁	—	2	1	no	—
449	C₂×D₁₈₁	—	2	1	no	—
450	C₂×D₁₈₁	—	2	1	no	—
451	C₂×D₁₈₁	—	2	1	no	—
452	C₂×D₁₈₁	—	2	1	no	—
453	C₂×D₁₈₁	—	4	4	no	—
454	C₂×D₁₈₁	2₋¹⁺⁴	1	2	yes	—
455	C₄×C₁₈₁	—	2	1	no	—
456	C₄×C₁₈₁	—	2	1	no	—
457	C₄×C₁₈₁	—	2	1	no	—
458	C₄×C₁₈₁	—	2	1	no	—
459	C₄×C₁₈₁	—	2	1	no	—
460	C₄×C₁₈₁	—	2	1	no	—
461	C₄×C₁₈₁	—	2	1	no	—
462	C₄×C₁₈₁	—	2	1	no	—
463	C₄×C₁₈₁	—	2	1	no	—
464	C₄×C₁₈₁	—	2	1	no	—
465	C₄×C₁₈₁	—	2	1	no	—
466	Dic₁₈₁	—	2	1	no	—
467	Dic₁₈₁	—	2	1	no	—
468	Dic₁₈₁	—	2	1	no	—
469	Dic₁₈₁	—	2	1	no	—
470	Dic₁₈₁	—	2	1	no	—
471	Dic₁₈₁	—	2	1	no	—
472	Dic₁₈₁	—	2	1	no	—
473	Dic₁₈₁	—	2	1	no	—
474	Dic₁₈₁	—	2	1	no	—
475	Dic₁₈₁	—	2	1	no	—
476	Dic₁₈₁	—	2	1	no	—
477	Dic₁₈₁	—	2	1	no	—
478	Dic₁₈₁	H(5,𝔽₂)	1	2	yes	—
479	C₂×C₁₈₁	—	4	1	no	—
480	C₂×C₁₈₁	—	4	1	no	—
481	C₂×C₁₈₁	—	4	1	no	—
482	C₂×C₁₈₁	—	4	1	no	—
483	C₂×C₁₈₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
484	C₂×C₁₈₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
485	C₂×C₁₈₁	#585	1	1	yes	characteristic
486	D₁₈₁	—	2	2	no	—
487	D₁₈₁	—	4	1	no	—
488	D₁₈₁	—	4	1	no	—
489	C₁₈₁	#3541	1	1	yes	characteristic, complemented, Sylow
490	#3541	—	181	1	no	maximal, Sylow
491	#563	—	181	1	no	—
492	#563	—	181	1	no	—
493	#562	—	181	1	no	—
494	#562	D₁₈₁	1	1	yes	characteristic, complemented
495	#556	—	181	1	no	—
496	#554	—	181	1	no	—
497	#554	—	181	1	no	—
498	#554	—	181	1	no	—
499	#553	—	181	1	no	—
500	#553	—	181	1	no	—
501	#553	—	181	1	no	—
502	#552	—	181	1	no	—
503	D₄×Q₈	—	181	1	no	—
504	#548	—	181	1	no	—
505	#548	—	181	1	no	—
506	#547	—	181	1	no	—
507	#542	—	181	1	no	—
508	#542	—	181	1	no	—
509	#542	—	181	1	no	—
510	#541	—	181	1	no	—
511	#539	—	181	1	no	—
512	#539	—	181	1	no	—
513	#538	—	181	1	no	—
514	#538	—	181	1	no	—
515	#538	—	181	1	no	—
516	#538	—	181	1	no	—
517	#537	—	181	1	no	—
518	#536	—	181	1	no	—
519	#525	—	181	1	no	—
520	#525	—	181	1	no	—
521	C₂×C₂²⋊Q₈	—	181	1	no	—
522	C₂×#41	—	181	1	no	—
523	C₂×#41	—	181	1	no	—
524	C₂×#41	—	181	1	no	—
525	C₂²×Q₈	—	181	1	no	—
526	C₂²×Q₈	—	181	1	no	—
527	C₂³×C₄	—	181	1	no	—
528	C₄⋊Q₈	—	181	1	no	—
529	C₄⋊Q₈	—	181	1	no	—
530	C₄⋊Q₈	—	181	1	no	—
531	C₄⋊Q₈	—	181	1	no	—
532	C₄⋊Q₈	—	181	1	no	—
533	C₄⋊Q₈	—	181	1	no	—
534	#126	—	181	1	no	—
535	#126	—	181	1	no	—
536	#126	—	181	1	no	—
537	#126	—	181	1	no	—
538	#126	—	181	1	no	—
539	#126	—	181	1	no	—
540	#126	—	181	1	no	—
541	#126	—	181	1	no	—
542	#126	—	181	1	no	—
543	#126	—	181	1	no	—
544	#126	—	181	1	no	—
545	#126	—	181	1	no	—
546	#126	—	181	1	no	—
547	#126	—	181	1	no	—
548	#125	—	181	1	no	—
549	#125	—	181	1	no	—
550	#125	—	181	1	no	—
551	#125	—	181	1	no	—
552	#125	—	181	1	no	—
553	#125	—	181	1	no	—
554	#125	—	181	1	no	—
555	#125	—	181	1	no	—
556	#125	C₂×D₁₈₁	1	1	yes	characteristic, complemented
557	#124	—	181	1	no	—
558	#124	—	181	1	no	—
559	#124	—	181	1	no	—
560	#124	—	181	1	no	—
561	#124	—	181	1	no	—
562	#124	—	181	1	no	—
563	#124	—	181	1	no	—
564	#124	—	181	1	no	—
565	#124	—	181	1	no	—
566	#124	C₂×D₁₈₁	1	1	yes	characteristic
567	#124	C₂×D₁₈₁	1	1	yes	characteristic, complemented
568	#123	—	181	1	no	—
569	#123	—	181	1	no	—
570	#123	—	181	1	no	—
571	#123	—	181	1	no	—
572	#123	—	181	1	no	—
573	#123	—	181	1	no	—
574	#123	—	181	1	no	—
575	#123	—	181	1	no	—
576	#123	—	181	1	no	—
577	#123	—	181	1	no	—
578	#123	—	181	1	no	—
579	#123	—	181	1	no	—
580	#123	—	181	1	no	—
581	#123	—	181	1	no	—
582	#123	C₂×D₁₈₁	1	1	yes	characteristic
583	#123	C₂×D₁₈₁	1	1	yes	characteristic
584	#123	C₂×D₁₈₁	1	1	yes	characteristic, complemented
585	#123	C₂×D₁₈₁	1	1	yes	characteristic, complemented
586	C₂²⋊Q₈	—	181	1	no	—
587	C₂²⋊Q₈	—	181	1	no	—
588	C₂²⋊Q₈	—	181	1	no	—
589	C₂²⋊Q₈	—	181	1	no	—
590	C₂²⋊Q₈	—	181	1	no	—
591	C₂²⋊Q₈	—	181	1	no	—
592	C₂²⋊Q₈	—	181	1	no	—
593	C₂²⋊Q₈	—	181	1	no	—
594	C₂²⋊Q₈	—	181	1	no	—
595	C₂²⋊Q₈	—	181	1	no	—
596	C₂²⋊Q₈	—	181	1	no	—
597	C₂²⋊Q₈	—	181	1	no	—
598	C₂²⋊Q₈	—	181	1	no	—
599	C₂²⋊Q₈	—	181	1	no	—
600	C₂²⋊Q₈	—	181	1	no	—
601	C₂²⋊Q₈	—	181	1	no	—
602	C₂²⋊Q₈	—	181	1	no	—
603	C₂²⋊Q₈	—	181	1	no	—
604	C₂²⋊Q₈	—	181	1	no	—
605	C₂²⋊Q₈	—	181	1	no	—
606	C₂²⋊Q₈	—	181	1	no	—
607	C₂²⋊Q₈	—	181	1	no	—
608	C₂²⋊Q₈	—	181	1	no	—
609	C₂²⋊Q₈	—	181	1	no	—
610	C₂²⋊Q₈	—	181	1	no	—
611	C₂²⋊Q₈	—	181	1	no	—
612	C₂²⋊Q₈	—	181	1	no	—
613	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic
614	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
615	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
616	C₂²⋊Q₈	C₂×D₁₈₁	1	1	yes	characteristic, complemented
617	#121	—	181	1	no	—
618	#121	—	181	1	no	—
619	#121	—	181	1	no	—
620	#121	—	181	1	no	—
621	#121	—	181	1	no	—
622	#121	—	181	1	no	—
623	#121	—	181	1	no	—
624	#121	—	181	1	no	—
625	#121	—	181	1	no	—
626	#121	—	181	1	no	—
627	#121	—	181	1	no	—
628	#121	—	181	1	no	—
629	#121	—	181	1	no	—
630	#121	—	181	1	no	—
631	#121	—	181	1	no	—
632	#121	C₂×D₁₈₁	1	1	yes	characteristic
633	#121	C₂×D₁₈₁	1	1	yes	characteristic
634	#121	C₂×D₁₈₁	1	1	yes	characteristic
635	#121	C₂×D₁₈₁	1	1	yes	characteristic, complemented
636	#120	—	181	1	no	—
637	#120	—	181	1	no	—
638	#120	—	181	1	no	—
639	#120	—	181	1	no	—
640	C₄×Q₈	—	181	1	no	—
641	C₄×Q₈	—	181	1	no	—
642	C₄×Q₈	—	181	1	no	—
643	C₄×Q₈	—	181	1	no	—
644	C₄×Q₈	—	181	1	no	—
645	C₄×D₄	—	181	1	no	—
646	C₄×D₄	—	181	1	no	—
647	C₄×D₄	—	181	1	no	—
648	C₄×D₄	—	181	1	no	—
649	C₄×D₄	—	181	1	no	—
650	C₄×D₄	—	181	1	no	—
651	C₄×D₄	—	181	1	no	—
652	C₄×D₄	—	181	1	no	—
653	C₄×D₄	—	181	1	no	—
654	C₄×D₄	—	181	1	no	—
655	C₄×D₄	—	181	1	no	—
656	C₄×D₄	—	181	1	no	—
657	C₄×D₄	—	181	1	no	—
658	C₄×D₄	—	181	1	no	—
659	C₄×D₄	—	181	1	no	—
660	C₄×D₄	—	181	1	no	—
661	C₄×D₄	—	181	1	no	—
662	C₄×D₄	—	181	1	no	—
663	C₄×D₄	—	181	1	no	—
664	#117	—	181	1	no	—
665	#117	—	181	1	no	—
666	#117	—	181	1	no	—
667	#117	—	181	1	no	—
668	#117	—	181	1	no	—
669	C₂×C₄⋊C₄	—	181	1	no	—
670	C₂×C₄⋊C₄	—	181	1	no	—
671	C₂×C₄⋊C₄	—	181	1	no	—
672	C₂×C₄⋊C₄	—	181	1	no	—
673	C₂×C₄⋊C₄	—	181	1	no	—
674	C₂×C₄⋊C₄	—	181	1	no	—
675	C₂×C₂²⋊C₄	—	181	1	no	—
676	C₂×C₂²⋊C₄	—	181	1	no	—
677	C₂⁴	—	181	1	no	—
678	#41	—	724	2	no	—
679	#41	—	724	2	no	—
680	#41	—	724	2	no	—
681	C₂×Q₈	—	181	1	no	—
682	C₂×Q₈	—	181	1	no	—
683	C₂×Q₈	—	181	1	no	—
684	C₂×Q₈	—	181	1	no	—
685	C₂×Q₈	—	181	1	no	—
686	C₂×Q₈	—	181	1	no	—
687	C₂×Q₈	—	181	1	no	—
688	C₂×Q₈	—	181	1	no	—
689	C₂×Q₈	—	724	2	no	—
690	C₂×Q₈	—	724	2	no	—
691	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
692	C₂×Q₈	C₂²×D₁₈₁	1	1	yes	characteristic
693	C₂×D₄	—	181	1	no	—
694	C₂×D₄	—	181	1	no	—
695	C₂×D₄	—	181	1	no	—
696	C₂×D₄	—	181	1	no	—
697	C₂×D₄	—	181	1	no	—
698	C₂×D₄	—	181	1	no	—
699	C₂×D₄	—	181	1	no	—
700	C₂×D₄	—	181	1	no	—
701	C₂×D₄	—	181	1	no	—
702	C₂×D₄	—	181	1	no	—
703	C₂×D₄	—	181	1	no	—
704	C₂×D₄	—	181	1	no	—
705	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
706	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
707	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
708	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
709	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
710	C₂×D₄	C₂²×D₁₈₁	1	1	yes	characteristic
711	C₂²×C₄	—	181	1	no	—
712	C₂²×C₄	—	181	1	no	—
713	C₂²×C₄	—	181	1	no	—
714	C₂²×C₄	—	181	1	no	—
715	C₂²×C₄	—	181	1	no	—
716	C₂²×C₄	—	181	1	no	—
717	C₂²×C₄	—	181	1	no	—
718	C₂²×C₄	—	181	1	no	—
719	C₂²×C₄	—	181	1	no	—
720	C₂²×C₄	—	181	1	no	—
721	C₂²×C₄	—	181	1	no	—
722	C₂²×C₄	—	181	1	no	—
723	C₂²×C₄	—	181	1	no	—
724	C₂²×C₄	—	181	1	no	—
725	C₂²×C₄	—	181	1	no	—
726	C₂²×C₄	—	181	1	no	—
727	C₂²×C₄	—	181	1	no	—
728	C₂²×C₄	—	181	1	no	—
729	C₂²×C₄	—	724	2	no	—
730	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
731	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
732	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
733	C₂²×C₄	C₂²×D₁₈₁	1	1	yes	characteristic
734	C₄⋊C₄	—	181	1	no	—
735	C₄⋊C₄	—	181	1	no	—
736	C₄⋊C₄	—	181	1	no	—
737	C₄⋊C₄	—	181	1	no	—
738	C₄⋊C₄	—	181	1	no	—
739	C₄⋊C₄	—	181	1	no	—
740	C₄⋊C₄	—	181	1	no	—
741	C₄⋊C₄	—	181	1	no	—
742	C₄⋊C₄	—	181	1	no	—
743	C₄⋊C₄	—	181	1	no	—
744	C₄⋊C₄	—	181	1	no	—
745	C₄⋊C₄	—	181	1	no	—
746	C₄⋊C₄	—	181	1	no	—
747	C₄⋊C₄	—	181	1	no	—
748	C₄⋊C₄	—	181	1	no	—
749	C₄⋊C₄	—	181	1	no	—
750	C₄⋊C₄	—	181	1	no	—
751	C₄⋊C₄	—	181	1	no	—
752	C₄⋊C₄	—	181	1	no	—
753	C₄⋊C₄	—	181	1	no	—
754	C₄⋊C₄	—	181	1	no	—
755	C₄⋊C₄	—	181	1	no	—
756	C₄⋊C₄	—	181	1	no	—
757	C₄⋊C₄	—	181	1	no	—
758	C₄⋊C₄	—	181	1	no	—
759	C₄⋊C₄	—	181	1	no	—
760	C₄⋊C₄	—	181	1	no	—
761	C₄⋊C₄	—	181	1	no	—
762	C₄⋊C₄	—	181	1	no	—
763	C₄⋊C₄	—	181	1	no	—
764	C₄⋊C₄	—	181	1	no	—
765	C₄⋊C₄	—	181	1	no	—
766	C₄⋊C₄	—	181	1	no	—
767	C₄⋊C₄	—	181	1	no	—
768	C₄⋊C₄	—	181	1	no	—
769	C₄⋊C₄	—	181	1	no	—
770	C₄⋊C₄	—	181	1	no	—
771	C₄⋊C₄	—	181	1	no	—
772	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
773	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
774	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
775	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
776	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
777	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
778	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
779	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
780	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
781	C₄⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
782	C₂²⋊C₄	—	181	1	no	—
783	C₂²⋊C₄	—	181	1	no	—
784	C₂²⋊C₄	—	181	1	no	—
785	C₂²⋊C₄	—	181	1	no	—
786	C₂²⋊C₄	—	181	1	no	—
787	C₂²⋊C₄	—	181	1	no	—
788	C₂²⋊C₄	—	181	1	no	—
789	C₂²⋊C₄	—	181	1	no	—
790	C₂²⋊C₄	—	181	1	no	—
791	C₂²⋊C₄	—	181	1	no	—
792	C₂²⋊C₄	—	181	1	no	—
793	C₂²⋊C₄	—	181	1	no	—
794	C₂²⋊C₄	—	181	1	no	—
795	C₂²⋊C₄	—	181	1	no	—
796	C₂²⋊C₄	—	181	1	no	—
797	C₂²⋊C₄	—	181	1	no	—
798	C₂²⋊C₄	—	181	1	no	—
799	C₂²⋊C₄	—	181	1	no	—
800	C₂²⋊C₄	—	181	1	no	—
801	C₂²⋊C₄	—	181	1	no	—
802	C₂²⋊C₄	—	181	1	no	—
803	C₂²⋊C₄	—	181	1	no	—
804	C₂²⋊C₄	—	181	1	no	—
805	C₂²⋊C₄	—	181	1	no	—
806	C₂²⋊C₄	—	181	1	no	—
807	C₂²⋊C₄	—	181	1	no	—
808	C₂²⋊C₄	—	181	1	no	—
809	C₂²⋊C₄	—	181	1	no	—
810	C₂²⋊C₄	—	181	1	no	—
811	C₂²⋊C₄	—	181	1	no	—
812	C₂²⋊C₄	—	181	1	no	—
813	C₂²⋊C₄	—	181	1	no	—
814	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
815	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
816	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
817	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
818	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
819	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
820	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
821	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
822	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
823	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
824	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
825	C₂²⋊C₄	C₂²×D₁₈₁	1	1	yes	characteristic
826	C₄²	—	181	1	no	—
827	C₄²	—	181	1	no	—
828	C₄²	—	181	1	no	—
829	C₄²	—	181	1	no	—
830	C₄²	—	181	1	no	—
831	C₄²	—	181	1	no	—
832	C₄²	—	181	1	no	—
833	C₄²	—	181	1	no	—
834	C₄²	—	181	1	no	—
835	C₄²	—	181	1	no	—
836	C₄²	—	181	1	no	—
837	C₄²	C₂²×D₁₈₁	1	1	yes	characteristic
838	C₂³	—	362	2	no	—
839	C₂³	—	181	1	no	—
840	C₂³	—	181	1	no	—
841	C₂³	—	181	1	no	—
842	C₂³	—	724	1	no	—
843	C₂³	—	724	1	no	—
844	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
845	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
846	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
847	C₂³	C₂³×D₁₈₁	1	1	yes	characteristic
848	Q₈	—	4	1	no	—
849	Q₈	—	4	1	no	—
850	Q₈	—	362	2	no	—
851	Q₈	—	362	2	no	—
852	Q₈	—	362	2	no	—
853	Q₈	—	724	1	no	—
854	Q₈	—	724	1	no	—
855	Q₈	—	724	1	no	—
856	Q₈	—	724	1	no	—
857	Q₈	—	724	1	no	—
858	D₄	—	4	1	no	—
859	D₄	—	4	1	no	—
860	D₄	—	4	1	no	—
861	D₄	—	4	1	no	—
862	D₄	—	4	1	no	—
863	D₄	—	4	1	no	—
864	D₄	—	362	2	no	—
865	D₄	—	362	2	no	—
866	D₄	—	362	2	no	—
867	D₄	—	362	2	no	—
868	D₄	—	362	2	no	—
869	D₄	—	724	1	no	—
870	D₄	—	724	1	no	—
871	D₄	—	724	1	no	—
872	D₄	—	724	1	no	—
873	D₄	—	724	1	no	—
874	D₄	—	724	1	no	—
875	D₄	—	724	1	no	—
876	C₂×C₄	—	4	1	no	—
877	C₂×C₄	—	4	1	no	—
878	C₂×C₄	—	4	1	no	—
879	C₂×C₄	—	4	1	no	—
880	C₂×C₄	—	362	2	no	—
881	C₂×C₄	—	362	2	no	—
882	C₂×C₄	—	362	2	no	—
883	C₂×C₄	—	362	2	no	—
884	C₂×C₄	—	362	2	no	—
885	C₂×C₄	—	181	1	no	—
886	C₂×C₄	—	181	1	no	—
887	C₂×C₄	—	181	1	no	—
888	C₂×C₄	—	181	1	no	—
889	C₂×C₄	—	181	1	no	—
890	C₂×C₄	—	181	1	no	—
891	C₂×C₄	—	181	1	no	—
892	C₂×C₄	—	181	1	no	—
893	C₂×C₄	—	181	1	no	—
894	C₂×C₄	—	181	1	no	—
895	C₂×C₄	—	181	1	no	—
896	C₂×C₄	—	181	1	no	—
897	C₂×C₄	—	181	1	no	—
898	C₂×C₄	—	724	1	no	—
899	C₂×C₄	—	724	1	no	—
900	C₂×C₄	—	724	1	no	—
901	C₂×C₄	—	724	1	no	—
902	C₂×C₄	—	724	1	no	—
903	C₂×C₄	—	724	1	no	—
904	C₂×C₄	—	724	1	no	—
905	C₂×C₄	—	724	1	no	—
906	C₂×C₄	—	724	1	no	—
907	C₂×C₄	—	724	1	no	—
908	C₂×C₄	—	724	1	no	—
909	C₂×C₄	—	724	1	no	—
910	C₂×C₄	—	724	1	no	—
911	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
912	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
913	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
914	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
915	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
916	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
917	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
918	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
919	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
920	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
921	C₂×C₄	C₂³×D₁₈₁	1	1	yes	characteristic
922	C₂²	—	2	1	no	—
923	C₂²	—	2	1	no	—
924	C₂²	—	2	1	no	—
925	C₂²	—	2	1	no	—
926	C₂²	—	2	1	no	—
927	C₂²	—	2	1	no	—
928	C₂²	—	2	1	no	—
929	C₂²	—	2	1	no	—
930	C₂²	—	2	1	no	—
931	C₂²	—	2	1	no	—
932	C₂²	—	2	1	no	—
933	C₂²	—	2	1	no	—
934	C₂²	—	362	1	no	—
935	C₂²	—	362	1	no	—
936	C₂²	—	362	1	no	—
937	C₂²	—	362	1	no	—
938	C₂²	—	362	1	no	—
939	C₂²	—	362	1	no	—
940	C₂²	—	362	1	no	—
941	C₂²	—	362	1	no	—
942	C₂²	—	181	2	no	—
943	C₂²	—	724	4	no	—
944	C₂²	C₂⁴×D₁₈₁	1	1	yes	characteristic
945	C₄	—	2	1	no	—
946	C₄	—	2	1	no	—
947	C₄	—	2	1	no	—
948	C₄	—	2	1	no	—
949	C₄	—	2	1	no	—
950	C₄	—	2	1	no	—
951	C₄	—	2	1	no	—
952	C₄	—	2	1	no	—
953	C₄	—	2	1	no	—
954	C₄	—	2	1	no	—
955	C₄	—	2	1	no	—
956	C₄	—	362	1	no	—
957	C₄	—	362	1	no	—
958	C₄	—	362	1	no	—
959	C₄	—	362	1	no	—
960	C₄	—	362	1	no	—
961	C₄	—	362	1	no	—
962	C₄	—	362	1	no	—
963	C₄	—	362	1	no	—
964	C₄	—	362	1	no	—
965	C₄	—	362	1	no	—
966	C₄	—	362	1	no	—
967	C₄	—	362	1	no	—
968	C₄	—	181	2	no	—
969	C₂	—	4	1	no	—
970	C₂	—	4	1	no	—
971	C₂	—	4	1	no	—
972	C₂	—	4	1	no	—
973	C₂	—	362	2	no	—
974	C₂	—	724	1	no	—
975	C₂	—	724	1	no	—
976	C₂	H(5,𝔽₂)×D₁₈₁	1	1	yes	characteristic
977	C₂	2₋¹⁺⁴×D₁₈₁	1	1	yes	characteristic
978	C₂	#26042114	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×D₁₈₁
commutator, socle, cosocle	C₂²×C₁₈₁	C₂⁵
Fitting	#562×C₁₈₁	C₂
hypercenter	#562	D₁₈₁
hypocenter	C₁₈₁	#3541
LCS	G ▷ C₂²×C₁₈₁ ▷ C₁₈₁
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
1. #26042032	C₂	semidirect
2. #26042030	C₂	semidirect
3. #26042024	C₂	semidirect
4. #26041998	C₂	semidirect
5. #26041987	C₂	semidirect
6. #26041985	C₂	semidirect
7. #26041983	C₂	semidirect
8. #26041976	C₂	semidirect
9. #26041974	C₂	semidirect
10. #26041974	C₂	semidirect
11. #26041966	C₂	semidirect
12. #26041942	C₂	semidirect
13. #26041937	C₂	semidirect
14. #26041935	C₂	semidirect
15. #26041929	C₂	semidirect
16. #26041902	C₂	semidirect
17. #26041899	C₂	semidirect
18. #26041893	C₂	semidirect
19. #26041888	C₂	semidirect
20. #26041875	C₂	semidirect
21. #26041873	C₂	semidirect
22. #26041865	C₂	semidirect
23. #26041863	C₂	semidirect
24. #26041861	C₂	semidirect
25. #26041861	C₂	semidirect
26. #26041856	C₂	semidirect
27. #26041851	C₂	semidirect
28. #26041789	C₂	semidirect
29. #26041787	C₂	semidirect
30. C₂²⋊Q₈×D₁₈₁	C₂	semidirect
31. #562×C₁₈₁	C₂	semidirect
34. C₂×#15668448	C₂²	semidirect
35. C₂²×Dic₃₆₂	C₂²	semidirect
38. #19153815	C₂²	semidirect
39. #19153815	C₂²	semidirect
40. #19153815	C₂²	semidirect
41. #19153815	C₂²	semidirect
42. #19153814	C₂²	semidirect
43. #19153814	C₂²	semidirect
47. #19153811	C₂²	semidirect
48. #19153811	C₂²	semidirect
54. #19153809	C₂²	semidirect
55. #19153809	C₂²	semidirect
56. #19153809	C₂²	semidirect
57. #19153809	C₂²	semidirect
58. #19153807	C₂²	semidirect
59. #19153807	C₂²	semidirect
60. #19153806	C₂²	semidirect
61. #19153806	C₂²	semidirect
62. #19153806	C₂²	semidirect
63. #19153806	C₂²	semidirect
64. #19153806	C₂²	semidirect
65. #19153806	C₂²	semidirect
73. #19153802	C₂²	semidirect
74. #19153802	C₂²	semidirect
83. #19153798	C₂²	semidirect
84. #19153798	C₂²	semidirect
87. #19153797	C₂²	semidirect
88. #19153797	C₂²	semidirect
92. #19153796	C₂²	semidirect
101. #19153794	C₂²	semidirect
102. #19153794	C₂²	semidirect
105. #19153793	C₂²	semidirect
106. #19153793	C₂²	semidirect
107. #19153793	C₂²	semidirect
108. #19153793	C₂²	semidirect
109. #19153793	C₂²	semidirect
110. #19153793	C₂²	semidirect
111. #19153793	C₂²	semidirect
112. #19153793	C₂²	semidirect
115. #19153792	C₂²	semidirect
125. #19153788	C₂²	semidirect
126. #19153788	C₂²	semidirect
135. Q₈×Dic₁₈₁	C₂²	semidirect
136. C₄×Dic₃₆₂	C₂²	semidirect
137. C₄×Dic₃₆₂	C₂²	semidirect
138. #19153781	C₂²	semidirect
139. #19153781	C₂²	semidirect
143. D₄×Dic₁₈₁	C₂²	semidirect
150. C₄×C₂²⋊D₁₈₁	C₂²	semidirect
151. C₄×C₂²⋊D₁₈₁	C₂²	semidirect
159. #19153775	C₂²	semidirect
162. #19153772	C₂²	semidirect
163. #19153772	C₂²	semidirect
164. C₂×C₄⋊Dic₁₈₁	C₂²	semidirect
165. C₂×#15668428	C₂²	semidirect
169. C₄⋊C₄×D₁₈₁	C₂²	semidirect
172. #125×C₁₈₁	C₂²	semidirect
174. #124×C₁₈₁	C₂²	semidirect
177. #123×C₁₈₁	C₂²	semidirect
178. #123×C₁₈₁	C₂²	semidirect
180. C₂²⋊Q₈×C₁₈₁	C₂²	semidirect
181. C₂²⋊Q₈×C₁₈₁	C₂²	semidirect
182. C₂²⋊Q₈×C₁₈₁	C₂²	semidirect
186. #121×C₁₈₁	C₂²	semidirect
489. C₁₈₁	#3541	semidirect
494. #562	D₁₈₁	semidirect
556. #125	C₂×D₁₈₁	semidirect
567. #124	C₂×D₁₈₁	semidirect
584. #123	C₂×D₁₈₁	semidirect
585. #123	C₂×D₁₈₁	semidirect
614. C₂²⋊Q₈	C₂×D₁₈₁	semidirect
615. C₂²⋊Q₈	C₂×D₁₈₁	semidirect
616. C₂²⋊Q₈	C₂×D₁₈₁	semidirect
635. #121	C₂×D₁₈₁	semidirect

Maximal subgroups

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

subgroup	index
#26042032	2
#26042030	2
#26042024	2
#26041998	2
#26041987	2
#26041985	2
#26041983	2
#26041976	2
#26041974	2
#26041966	2
#26041942	2
#26041937	2
#26041935	2
#26041929	2
#26041902	2
#26041899	2
#26041893	2
#26041888	2
#26041875	2
#26041873	2
#26041865	2
#26041863	2
#26041861	2
#26041856	2
#26041851	2
#26041789	2
#26041787	2
C₂²⋊Q₈×D₁₈₁	2
#562×C₁₈₁	2
#3541	181