Subgroups — #37584095

Order 24448.

472 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#20259355	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×Dic₇₆₄	C₂	1	1	yes	maximal, characteristic, complemented
3	D₄×Dic₃₈₂	C₂	1	1	yes	maximal, characteristic, complemented
4	#27133322	C₂	1	1	yes	maximal, characteristic
5	#27133057	C₂	1	1	yes	maximal, characteristic, complemented
6	#27132921	C₂	1	1	yes	maximal, characteristic, complemented
7	#27132892	C₂	1	1	yes	maximal, characteristic, complemented
8	#27132886	C₂	1	1	yes	maximal, characteristic, complemented
9	#27132874	C₂	1	1	yes	maximal, characteristic, complemented
10	#27132827	C₂	1	1	yes	maximal, characteristic, complemented
11	#27132821	C₂	1	1	yes	maximal, characteristic, complemented
12	#27132821	C₂	1	1	yes	maximal, characteristic, complemented
13	#27132804	C₂	1	1	yes	maximal, characteristic, complemented
14	#27132771	C₂	1	1	yes	maximal, characteristic, complemented
15	#435×C₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#15690287	C₂²	1	1	yes	characteristic
17	C₂²×Dic₃₈₂	C₂²	1	1	yes	characteristic
18	C₂²×Dic₃₈₂	C₂²	1	1	yes	characteristic
19	C₂²×Dic₃₈₂	C₂²	1	1	yes	characteristic
20	#20259355	—	2	4	no	—
21	C₂×Dic₇₆₄	—	2	4	no	—
22	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic
23	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic
24	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic
25	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic
26	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic
27	C₂×Dic₇₆₄	C₂²	1	1	yes	characteristic
28	C₂×#15690276	C₂²	1	1	yes	characteristic
29	C₂×#15690276	C₂²	1	1	yes	characteristic
30	C₂×#15690276	C₂²	1	1	yes	characteristic
31	#20259322	C₂²	1	1	yes	characteristic
32	#20259321	—	2	1	no	—
33	#20259310	C₂²	1	1	yes	characteristic
34	#20259308	—	2	1	no	—
35	#20259301	C₂²	1	1	yes	characteristic
36	#20259301	C₂²	1	1	yes	characteristic
37	#20259301	C₂²	1	1	yes	characteristic
38	#20259300	—	2	1	no	—
39	#20259299	—	2	1	no	—
40	#20259299	—	2	1	no	—
41	#20259296	C₂²	1	1	yes	characteristic
42	#20259294	—	2	1	no	—
43	C₄×Dic₃₈₂	C₂²	1	1	yes	characteristic
44	C₄×Dic₃₈₂	C₂²	1	1	yes	characteristic
45	D₄×Dic₁₉₁	—	2	1	no	—
46	(C₂²⋊D₁₉₁)⋊C₄	—	2	1	no	—
47	#20259254	C₂²	1	1	yes	characteristic
48	#20259247	C₂²	1	1	yes	characteristic
49	#20259247	C₂²	1	1	yes	characteristic
50	#20259247	C₂²	1	1	yes	characteristic
51	#20259247	C₂²	1	1	yes	characteristic
52	#20259247	C₂²	1	1	yes	characteristic
53	#20259244	C₂²	1	1	yes	characteristic
54	C₂×M₁₆×C₁₉₁	C₂²	1	1	yes	characteristic
55	C₂²×C₈×C₁₉₁	C₂²	1	1	yes	characteristic
56	C₄×D₄×C₁₉₁	C₂²	1	1	yes	characteristic
57	C₄⋊C₈×C₁₉₁	C₂²	1	1	yes	characteristic
58	C₂²⋊C₈×C₁₉₁	C₂²	1	1	yes	characteristic
59	C₂²⋊C₈×C₁₉₁	C₂²	1	1	yes	characteristic
60	#97×C₁₉₁	C₂²	1	1	yes	characteristic
61	#15690287	—	2	2	no	—
62	#15690287	—	4	1	no	—
63	C₂×Dic₃₈₂	—	2	2	no	—
64	C₂×Dic₃₈₂	—	2	2	no	—
65	C₂×Dic₃₈₂	—	2	2	no	—
66	C₂×Dic₃₈₂	—	2	1	no	—
67	C₂×Dic₃₈₂	—	2	1	no	—
68	C₂×Dic₃₈₂	—	2	1	no	—
69	C₂×Dic₃₈₂	—	4	1	no	—
70	C₂×Dic₃₈₂	—	4	1	no	—
71	C₂×Dic₃₈₂	—	4	1	no	—
72	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
73	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
74	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
75	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
76	C₂×Dic₃₈₂	C₂³	1	1	yes	characteristic
77	C₂×D₇₆₄	C₂³	1	1	yes	characteristic
78	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
79	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
80	C₂²×Dic₁₉₁	—	2	1	no	—
81	C₂²×Dic₁₉₁	—	2	1	no	—
82	C₂²×Dic₁₉₁	—	2	1	no	—
83	C₂×C₄×D₁₉₁	—	2	1	no	—
84	Dic₇₆₄	—	2	2	no	—
85	Dic₇₆₄	—	2	2	no	—
86	Dic₇₆₄	—	2	2	no	—
87	Dic₇₆₄	—	2	2	no	—
88	Dic₇₆₄	—	4	1	no	—
89	Dic₇₆₄	D₄	1	4	yes	complemented
90	#15690276	—	2	2	no	—
91	#15690276	—	2	2	no	—
92	#15690276	—	4	1	no	—
93	C₄⋊Dic₁₉₁	—	2	1	no	—
94	C₄⋊Dic₁₉₁	—	2	1	no	—
95	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
96	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
97	Dic₁₉₁⋊C₄	—	2	1	no	—
98	Dic₁₉₁⋊C₄	—	2	1	no	—
99	Dic₁₉₁⋊C₄	—	2	1	no	—
100	Dic₁₉₁⋊C₄	—	2	1	no	—
101	Dic₁₉₁⋊C₄	—	2	1	no	—
102	C₂²⋊Dic₁₉₁	—	2	1	no	—
103	C₂²⋊Dic₁₉₁	—	2	1	no	—
104	C₂²⋊Dic₁₉₁	—	2	1	no	—
105	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
106	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
107	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
108	C₄×Dic₁₉₁	—	2	1	no	—
109	C₄×Dic₁₉₁	—	2	1	no	—
110	C₂×D₄×C₁₉₁	D₄	1	1	yes	characteristic
111	C₂²×C₄×C₁₉₁	C₂³	1	1	yes	characteristic
112	C₂²×C₄×C₁₉₁	C₂³	1	1	yes	characteristic
113	M₁₆×C₁₉₁	—	2	2	no	—
114	C₂×C₈×C₁₉₁	—	2	2	no	—
115	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
116	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
117	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
118	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
119	C₄⋊C₄×C₁₉₁	D₄	1	1	yes	characteristic
120	C₂²⋊C₄×C₁₉₁	D₄	1	1	yes	characteristic
121	C₂²⋊C₄×C₁₉₁	D₄	1	1	yes	characteristic
122	C₄²×C₁₉₁	C₂³	1	1	yes	characteristic
123	C₂²×D₁₉₁	—	2	1	no	—
124	Dic₃₈₂	—	2	1	no	—
125	Dic₃₈₂	—	2	1	no	—
126	Dic₃₈₂	—	2	1	no	—
127	Dic₃₈₂	—	2	1	no	—
128	Dic₃₈₂	—	2	1	no	—
129	Dic₃₈₂	—	2	1	no	—
130	Dic₃₈₂	—	2	1	no	—
131	Dic₃₈₂	—	2	1	no	—
132	Dic₃₈₂	—	4	2	no	—
133	Dic₃₈₂	—	4	2	no	—
134	Dic₃₈₂	—	4	2	no	—
135	Dic₃₈₂	C₂×D₄	1	2	yes	—
136	Dic₃₈₂	C₂×D₄	1	2	yes	—
137	D₇₆₄	—	2	1	no	—
138	D₇₆₄	—	2	1	no	—
139	C₂²⋊D₁₉₁	—	4	2	no	—
140	C₂²⋊D₁₉₁	—	4	2	no	—
141	C₂×Dic₁₉₁	—	2	1	no	—
142	C₂×Dic₁₉₁	—	2	1	no	—
143	C₂×Dic₁₉₁	—	2	1	no	—
144	C₂×Dic₁₉₁	—	2	1	no	—
145	C₂×Dic₁₉₁	—	2	1	no	—
146	C₂×Dic₁₉₁	—	2	1	no	—
147	C₂×Dic₁₉₁	—	2	1	no	—
148	C₂×Dic₁₉₁	—	4	2	no	—
149	C₂×Dic₁₉₁	—	4	2	no	—
150	C₂×Dic₁₉₁	—	4	2	no	—
151	C₄×D₁₉₁	—	4	2	no	—
152	C₂³×C₁₉₁	C₂×D₄	1	1	yes	characteristic
153	C₂³×C₁₉₁	C₂×D₄	1	1	yes	characteristic
154	D₄×C₁₉₁	—	2	2	no	—
155	C₂×C₄×C₁₉₁	—	2	1	no	—
156	C₂×C₄×C₁₉₁	—	2	1	no	—
157	C₂×C₄×C₁₉₁	—	2	1	no	—
158	C₂×C₄×C₁₉₁	—	2	1	no	—
159	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
160	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
161	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
162	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
163	C₂×C₄×C₁₉₁	C₂⁴	1	1	yes	characteristic
164	C₈×C₁₉₁	—	2	1	no	—
165	C₈×C₁₉₁	—	2	1	no	—
166	C₈×C₁₉₁	—	2	1	no	—
167	C₈×C₁₉₁	C₂×D₄	1	2	yes	—
168	C₂²×C₁₉₁	—	2	1	no	—
169	C₂²×C₁₉₁	—	2	1	no	—
170	C₂²×C₁₉₁	—	2	1	no	—
171	C₂²×C₁₉₁	—	2	1	no	—
172	C₂²×C₁₉₁	—	2	1	no	—
173	C₂²×C₁₉₁	#137	1	2	yes	complemented
174	C₂²×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
175	C₂×D₁₉₁	—	4	1	no	—
176	C₂×D₁₉₁	—	4	1	no	—
177	C₂×D₁₉₁	—	4	1	no	—
178	C₄×C₁₉₁	—	2	1	no	—
179	C₄×C₁₉₁	—	2	1	no	—
180	C₄×C₁₉₁	—	2	1	no	—
181	C₄×C₁₉₁	—	2	1	no	—
182	C₄×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
183	C₄×C₁₉₁	H(5,𝔽₂)	1	1	yes	characteristic
184	Dic₁₉₁	—	2	2	no	—
185	Dic₁₉₁	—	2	2	no	—
186	Dic₁₉₁	—	4	1	no	—
187	Dic₁₉₁	—	4	1	no	—
188	Dic₁₉₁	—	4	1	no	—
189	Dic₁₉₁	—	4	1	no	—
190	Dic₁₉₁	—	4	1	no	—
191	C₂×C₁₉₁	—	2	2	no	—
192	C₂×C₁₉₁	—	4	1	no	—
193	C₂×C₁₉₁	D₄²	1	1	yes	characteristic
194	C₂×C₁₉₁	C₂×#137	1	1	yes	characteristic
195	C₂×C₁₉₁	#578	1	1	yes	characteristic
196	D₁₉₁	—	8	1	no	—
197	C₁₉₁	#3270	1	1	yes	characteristic, complemented, Sylow
198	#3270	—	191	1	no	maximal, Sylow
199	C₂×#137	—	191	1	no	—
200	C₂²×Q₁₆	—	191	1	no	—
201	D₄×Q₈	—	191	1	no	—
202	#548	—	191	1	no	—
203	#497	—	191	1	no	—
204	#470	—	191	1	no	—
205	#465	—	191	1	no	—
206	#464	—	191	1	no	—
207	#462	—	191	1	no	—
208	#452	—	191	1	no	—
209	#451	—	191	1	no	—
210	#451	—	191	1	no	—
211	#448	—	191	1	no	—
212	#441	—	191	1	no	—
213	#435	D₁₉₁	1	1	yes	characteristic, complemented
214	C₂×#41	—	191	1	no	—
215	C₂²×Q₈	—	191	1	no	—
216	C₂²×Q₈	—	191	1	no	—
217	C₂²×Q₈	—	191	1	no	—
218	#137	—	382	4	no	—
219	C₂×Q₁₆	—	382	4	no	—
220	C₂×Q₁₆	—	191	1	no	—
221	C₂×Q₁₆	—	191	1	no	—
222	C₂×Q₁₆	—	191	1	no	—
223	C₂×Q₁₆	—	191	1	no	—
224	C₂×Q₁₆	—	191	1	no	—
225	C₂×Q₁₆	—	191	1	no	—
226	C₂×SD₁₆	—	191	1	no	—
227	C₂×SD₁₆	—	191	1	no	—
228	C₂×SD₁₆	—	191	1	no	—
229	C₂×M₁₆	C₂×D₁₉₁	1	1	yes	characteristic
230	C₂²×C₈	C₂×D₁₉₁	1	1	yes	characteristic
231	C₄⋊Q₈	—	382	1	no	—
232	C₄⋊Q₈	—	191	1	no	—
233	#124	—	382	1	no	—
234	#124	—	191	1	no	—
235	C₂²⋊Q₈	—	382	1	no	—
236	C₂²⋊Q₈	—	382	1	no	—
237	C₂²⋊Q₈	—	382	1	no	—
238	C₂²⋊Q₈	—	191	1	no	—
239	C₂²⋊Q₈	—	191	1	no	—
240	C₂²⋊Q₈	—	191	1	no	—
241	#121	—	382	1	no	—
242	#121	—	191	1	no	—
243	C₄×Q₈	—	191	1	no	—
244	C₄×Q₈	—	191	1	no	—
245	C₄×D₄	—	382	1	no	—
246	C₄×D₄	—	382	1	no	—
247	C₄×D₄	C₂×D₁₉₁	1	1	yes	characteristic
248	#106	—	191	1	no	—
249	C₄⋊C₈	C₂×D₁₉₁	1	1	yes	characteristic
250	#103	—	191	1	no	—
251	#103	—	191	1	no	—
252	#103	—	191	1	no	—
253	#103	—	191	1	no	—
254	#103	—	191	1	no	—
255	#102	—	191	1	no	—
256	C₂²⋊C₈	C₂×D₁₉₁	1	1	yes	characteristic
257	C₂²⋊C₈	C₂×D₁₉₁	1	1	yes	characteristic
258	#97	C₂×D₁₉₁	1	1	yes	characteristic
259	#41	—	382	2	no	—
260	#41	—	764	1	no	—
261	C₂×Q₈	—	382	2	no	—
262	C₂×Q₈	—	382	2	no	—
263	C₂×Q₈	—	382	2	no	—
264	C₂×Q₈	—	382	1	no	—
265	C₂×Q₈	—	382	1	no	—
266	C₂×Q₈	—	382	1	no	—
267	C₂×Q₈	—	191	1	no	—
268	C₂×Q₈	—	191	1	no	—
269	C₂×Q₈	—	191	1	no	—
270	C₂×Q₈	—	191	1	no	—
271	C₂×Q₈	—	191	1	no	—
272	C₂×Q₈	—	764	1	no	—
273	C₂×Q₈	—	764	1	no	—
274	C₂×Q₈	—	764	1	no	—
275	C₂×D₄	—	382	1	no	—
276	C₂×D₄	—	382	1	no	—
277	C₂×D₄	—	191	1	no	—
278	C₂×D₄	D₇₆₄	1	1	yes	characteristic
279	C₂²×C₄	—	382	1	no	—
280	C₂²×C₄	—	382	1	no	—
281	C₂²×C₄	—	382	1	no	—
282	C₂²×C₄	—	382	1	no	—
283	C₂²×C₄	C₂²×D₁₉₁	1	1	yes	characteristic
284	C₂²×C₄	C₂²×D₁₉₁	1	1	yes	characteristic
285	Q₁₆	—	382	2	no	—
286	Q₁₆	—	382	2	no	—
287	Q₁₆	—	382	2	no	—
288	Q₁₆	—	382	2	no	—
289	Q₁₆	—	191	4	no	—
290	Q₁₆	—	764	1	no	—
291	SD₁₆	—	382	2	no	—
292	SD₁₆	—	382	2	no	—
293	SD₁₆	—	764	1	no	—
294	M₁₆	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
297	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
298	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
299	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
300	C₄⋊C₄	—	382	1	no	—
301	C₄⋊C₄	—	382	1	no	—
302	C₄⋊C₄	—	382	1	no	—
303	C₄⋊C₄	—	382	1	no	—
304	C₄⋊C₄	—	382	1	no	—
305	C₄⋊C₄	—	382	1	no	—
306	C₄⋊C₄	—	382	1	no	—
307	C₄⋊C₄	—	191	1	no	—
308	C₄⋊C₄	—	191	1	no	—
309	C₄⋊C₄	D₇₆₄	1	1	yes	characteristic
310	C₂²⋊C₄	—	382	1	no	—
311	C₂²⋊C₄	—	382	1	no	—
312	C₂²⋊C₄	—	382	1	no	—
313	C₂²⋊C₄	—	382	1	no	—
314	C₂²⋊C₄	—	382	1	no	—
315	C₂²⋊C₄	—	382	1	no	—
316	C₂²⋊C₄	D₇₆₄	1	1	yes	characteristic
317	C₂²⋊C₄	D₇₆₄	1	1	yes	characteristic
318	C₄²	—	382	1	no	—
319	C₄²	—	382	1	no	—
320	C₄²	C₂²×D₁₉₁	1	1	yes	characteristic
321	C₂³	—	382	1	no	—
322	C₂³	C₂×D₇₆₄	1	1	yes	characteristic
323	C₂³	C₂×D₇₆₄	1	1	yes	characteristic
324	Q₈	—	382	1	no	—
325	Q₈	—	382	1	no	—
326	Q₈	—	382	1	no	—
327	Q₈	—	382	1	no	—
328	Q₈	—	382	1	no	—
329	Q₈	—	382	1	no	—
330	Q₈	—	382	1	no	—
331	Q₈	—	382	1	no	—
332	Q₈	—	191	2	no	—
333	Q₈	—	191	2	no	—
334	Q₈	—	764	2	no	—
335	Q₈	—	764	2	no	—
336	Q₈	—	764	2	no	—
337	D₄	—	2	2	no	—
338	D₄	—	382	1	no	—
339	D₄	—	382	1	no	—
340	D₄	—	764	2	no	—
341	D₄	—	764	2	no	—
342	C₂×C₄	—	2	1	no	—
343	C₂×C₄	—	2	1	no	—
344	C₂×C₄	—	2	1	no	—
345	C₂×C₄	—	2	1	no	—
346	C₂×C₄	—	382	1	no	—
347	C₂×C₄	—	382	1	no	—
348	C₂×C₄	—	382	1	no	—
349	C₂×C₄	—	382	1	no	—
350	C₂×C₄	—	382	1	no	—
351	C₂×C₄	—	382	1	no	—
352	C₂×C₄	—	382	1	no	—
353	C₂×C₄	—	764	2	no	—
354	C₂×C₄	—	764	2	no	—
355	C₂×C₄	—	764	2	no	—
356	C₂×C₄	—	764	2	no	—
357	C₂×C₄	C₂×D₇₆₄	1	1	yes	characteristic
358	C₂×C₄	C₂×D₇₆₄	1	1	yes	characteristic
359	C₂×C₄	C₂×D₇₆₄	1	1	yes	characteristic
360	C₂×C₄	C₂×D₇₆₄	1	1	yes	characteristic
361	C₂×C₄	C₂³×D₁₉₁	1	1	yes	characteristic
362	C₈	—	2	1	no	—
363	C₈	—	2	1	no	—
364	C₈	—	2	1	no	—
365	C₈	D₄×D₁₉₁	1	2	yes	—
366	C₂²	—	2	1	no	—
367	C₂²	—	2	1	no	—
368	C₂²	—	2	1	no	—
369	C₂²	—	2	1	no	—
370	C₂²	—	2	1	no	—
371	C₂²	—	764	1	no	—
372	C₂²	—	764	1	no	—
373	C₂²	—	764	1	no	—
374	C₂²	#20259355	1	2	yes	complemented
375	C₂²	C₂²×D₇₆₄	1	1	yes	characteristic
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	2	1	no	—
379	C₄	—	2	1	no	—
380	C₄	—	382	2	no	—
381	C₄	—	382	2	no	—
382	C₄	—	764	1	no	—
383	C₄	—	764	1	no	—
384	C₄	—	764	1	no	—
385	C₄	—	764	1	no	—
386	C₄	—	764	1	no	—
387	C₄	C₂×D₄×D₁₉₁	1	1	yes	characteristic
388	C₄	#20259368	1	1	yes	characteristic
389	C₂	—	2	2	no	—
390	C₂	—	4	1	no	—
391	C₂	—	1528	1	no	—
392	C₂	D₄×D₇₆₄	1	1	yes	characteristic
393	C₂	C₂×#20259355	1	1	yes	characteristic
394	C₂	#27133480	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₇₆₄
commutator, cosocle	C₂×C₄×C₁₉₁	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉₁
Fitting	#435×C₁₉₁	C₂
socle	C₂²×C₁₉₁	C₂²×D₄
prime radical	#27133322	C₂
hypercenter	#435	D₁₉₁
hypocenter	C₁₉₁	#3270
LCS	G ▷ C₂×C₄×C₁₉₁ ▷ C₂×C₁₉₁ ▷ C₁₉₁
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #435

Complements

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

N	H ≅ G/N	type
1. C₂×#20259355	C₂	semidirect
2. C₂²×Dic₇₆₄	C₂	semidirect
3. D₄×Dic₃₈₂	C₂	semidirect
5. #27133057	C₂	semidirect
6. #27132921	C₂	semidirect
7. #27132892	C₂	semidirect
8. #27132886	C₂	semidirect
9. #27132874	C₂	semidirect
10. #27132827	C₂	semidirect
11. #27132821	C₂	semidirect
12. #27132821	C₂	semidirect
13. #27132804	C₂	semidirect
14. #27132771	C₂	semidirect
15. #435×C₁₉₁	C₂	semidirect
89. Dic₇₆₄	D₄	semidirect
173. C₂²×C₁₉₁	#137	semidirect
197. C₁₉₁	#3270	semidirect
213. #435	D₁₉₁	semidirect
374. C₂²	#20259355	semidirect

Maximal subgroups

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

subgroup	index
C₂×#20259355	2
C₂²×Dic₇₆₄	2
D₄×Dic₃₈₂	2
#27133322	2
#27133057	2
#27132921	2
#27132892	2
#27132886	2
#27132874	2
#27132827	2
#27132821	2
#27132804	2
#27132771	2
#435×C₁₉₁	2
#3270	191