Subgroups — #37582459

Order 24448.

462 conjugacy classes of subgroups.

The subgroup lattice has 386 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#121×D₁₉₁	C₂	1	1	yes	maximal, characteristic
2	#117×D₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
3	#27132988	C₂	1	1	yes	maximal, characteristic, complemented
4	#27132987	C₂	1	1	yes	maximal, characteristic, complemented
5	#27132984	C₂	1	1	yes	maximal, characteristic, complemented
6	#27132983	C₂	1	1	yes	maximal, characteristic, complemented
7	#27132980	C₂	1	1	yes	maximal, characteristic, complemented
8	#27132978	C₂	1	1	yes	maximal, characteristic, complemented
9	#27132975	C₂	1	1	yes	maximal, characteristic, complemented
10	#27132704	C₂	1	1	yes	maximal, characteristic, complemented
11	#27132702	C₂	1	1	yes	maximal, characteristic, complemented
12	#27132666	C₂	1	1	yes	maximal, characteristic, complemented
13	#27132666	C₂	1	1	yes	maximal, characteristic, complemented
14	#27132625	C₂	1	1	yes	maximal, characteristic, complemented
15	#482×C₁₉₁	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×D₄×D₁₉₁	—	2	1	no	—
17	C₂×D₄×D₁₉₁	C₂²	1	1	yes	characteristic
18	C₂²×C₄×D₁₉₁	C₂²	1	1	yes	characteristic
19	C₂×#15690270	C₂²	1	1	yes	characteristic
20	C₂×#15690270	C₂²	1	1	yes	characteristic
21	#20259297	C₂²	1	1	yes	characteristic
22	#20259296	C₂²	1	1	yes	characteristic
23	#20259295	—	2	1	no	—
24	#20259294	—	2	1	no	—
25	#20259293	C₂²	1	1	yes	characteristic
26	#20259281	C₂²	1	1	yes	characteristic, complemented
27	#20259280	C₂²	1	1	yes	characteristic
28	#20259280	C₂²	1	1	yes	characteristic
29	#20259279	—	2	1	no	—
30	#20259278	—	2	1	no	—
31	C₄⋊C₄×D₁₉₁	C₂²	1	1	yes	characteristic
32	C₄⋊C₄×D₁₉₁	C₂²	1	1	yes	characteristic, complemented
33	C₄⋊C₄×D₁₉₁	C₂²	1	1	yes	characteristic, complemented
34	C₂²⋊C₄×D₁₉₁	—	2	1	no	—
35	C₂²⋊C₄×D₁₉₁	—	2	1	no	—
36	C₄²×D₁₉₁	—	2	1	no	—
37	#20259256	C₂²	1	1	yes	characteristic, complemented
38	#20259255	C₂²	1	1	yes	characteristic, complemented
39	#20259255	C₂²	1	1	yes	characteristic, complemented
40	#20259254	C₂²	1	1	yes	characteristic, complemented
41	#20259253	C₂²	1	1	yes	characteristic, complemented
42	#20259253	C₂²	1	1	yes	characteristic, complemented
43	#20259244	C₂²	1	1	yes	characteristic, complemented
44	#20259244	C₂²	1	1	yes	characteristic, complemented
45	#20259243	C₂²	1	1	yes	characteristic, complemented
46	#20259243	C₂²	1	1	yes	characteristic, complemented
47	#20259242	C₂²	1	1	yes	characteristic, complemented
48	#20259242	C₂²	1	1	yes	characteristic, complemented
49	C₂²⋊(C₁₉₁⋊C₈)	C₂²	1	1	yes	characteristic, complemented
50	(C₂×D₁₉₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
51	(C₂×D₁₉₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
52	#121×C₁₉₁	C₂²	1	1	yes	characteristic
53	#117×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
54	#107×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
55	#106×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
56	#102×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
57	#102×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
58	C₂²⋊C₈×C₁₉₁	C₂²	1	1	yes	characteristic, complemented
59	C₂³×D₁₉₁	—	2	1	no	—
60	C₂³×D₁₉₁	D₄	1	1	yes	characteristic
61	C₂×D₇₆₄	—	2	1	no	—
62	C₂×D₇₆₄	C₂³	1	1	yes	characteristic
63	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
64	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
65	C₂×C₂²⋊D₁₉₁	—	2	1	no	—
66	D₄×D₁₉₁	—	2	2	no	—
67	D₄×D₁₉₁	—	2	2	no	—
68	D₄×D₁₉₁	—	4	4	no	—
69	C₂²×Dic₁₉₁	D₄	1	1	yes	characteristic
70	C₂×C₄×D₁₉₁	—	2	2	no	—
71	C₂×C₄×D₁₉₁	—	2	2	no	—
72	C₂×C₄×D₁₉₁	—	2	1	no	—
73	C₂×C₄×D₁₉₁	—	2	1	no	—
74	C₂×C₄×D₁₉₁	—	2	1	no	—
75	C₂×C₄×D₁₉₁	D₄	1	1	yes	characteristic
76	C₂×C₄×D₁₉₁	D₄	1	1	yes	characteristic
77	C₂×C₄×D₁₉₁	C₂³	1	1	yes	characteristic
78	C₂×C₄×D₁₉₁	C₂³	1	1	yes	characteristic
79	#15690270	—	2	2	no	—
80	#15690270	—	2	2	no	—
81	C₂×C₁₉₁⋊C₈	C₂³	1	1	yes	characteristic
82	C₂×C₁₉₁⋊C₈	C₂³	1	1	yes	characteristic
83	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
84	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
85	C₄⋊Dic₁₉₁	C₂³	1	1	yes	characteristic
86	Dic₁₉₁⋊C₄	—	2	1	no	—
87	Dic₁₉₁⋊C₄	—	2	1	no	—
88	Dic₁₉₁⋊C₄	—	2	1	no	—
89	C₂²⋊Dic₁₉₁	—	2	1	no	—
90	C₂²⋊Dic₁₉₁	—	2	1	no	—
91	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
92	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
93	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
94	(C₂×D₁₉₁)⋊C₄	—	2	1	no	—
95	C₄×Dic₁₉₁	—	2	1	no	—
96	C₄×Dic₁₉₁	—	2	1	no	—
97	C₄×Dic₁₉₁	—	2	1	no	—
98	C₂×D₄×C₁₉₁	—	2	1	no	—
99	C₂×D₄×C₁₉₁	C₂³	1	1	yes	characteristic
100	C₂²×C₄×C₁₉₁	C₂³	1	1	yes	characteristic
101	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
102	C₂×C₈×C₁₉₁	C₂³	1	1	yes	characteristic
103	C₄⋊C₄×C₁₉₁	C₂³	1	1	yes	characteristic
104	C₄⋊C₄×C₁₉₁	C₂³	1	1	yes	characteristic
105	C₄⋊C₄×C₁₉₁	C₂³	1	1	yes	characteristic
106	C₂²⋊C₄×C₁₉₁	—	2	1	no	—
107	C₂²⋊C₄×C₁₉₁	—	2	1	no	—
108	C₄²×C₁₉₁	—	2	1	no	—
109	C₂²×D₁₉₁	—	2	2	no	—
110	C₂²×D₁₉₁	—	2	2	no	—
111	C₂²×D₁₉₁	—	2	1	no	—
112	C₂²×D₁₉₁	—	4	1	no	—
113	C₂²×D₁₉₁	—	4	2	no	—
114	C₂²×D₁₉₁	—	4	2	no	—
115	C₂²×D₁₉₁	—	4	2	no	—
116	C₂²×D₁₉₁	C₂×D₄	1	1	yes	characteristic
117	C₂²×D₁₉₁	C₂×D₄	1	1	yes	characteristic
118	D₇₆₄	—	2	1	no	—
119	D₇₆₄	—	2	1	no	—
120	D₇₆₄	—	4	2	no	—
121	C₂²⋊D₁₉₁	—	4	2	no	—
122	C₂²⋊D₁₉₁	—	4	2	no	—
123	C₂²⋊D₁₉₁	—	4	2	no	—
124	C₂×Dic₁₉₁	—	2	2	no	—
125	C₂×Dic₁₉₁	—	2	1	no	—
126	C₂×Dic₁₉₁	—	2	1	no	—
127	C₂×Dic₁₉₁	—	2	1	no	—
128	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
129	C₂×Dic₁₉₁	C₂×D₄	1	1	yes	characteristic
130	C₄×D₁₉₁	—	2	2	no	—
131	C₄×D₁₉₁	—	2	1	no	—
132	C₄×D₁₉₁	—	2	1	no	—
133	C₄×D₁₉₁	—	2	2	no	—
134	C₄×D₁₉₁	—	4	2	no	—
135	C₄×D₁₉₁	—	4	2	no	—
136	C₄×D₁₉₁	—	4	2	no	—
137	C₄×D₁₉₁	#41	1	2	yes	—
138	C₄×D₁₉₁	#41	1	2	yes	—
139	C₁₉₁⋊C₈	—	2	1	no	—
140	C₁₉₁⋊C₈	—	2	1	no	—
141	C₂³×C₁₉₁	—	2	1	no	—
142	C₂³×C₁₉₁	C₂×D₄	1	1	yes	characteristic
143	D₄×C₁₉₁	—	2	1	no	—
144	D₄×C₁₉₁	—	2	1	no	—
145	D₄×C₁₉₁	—	4	2	no	—
146	C₂×C₄×C₁₉₁	—	2	1	no	—
147	C₂×C₄×C₁₉₁	—	2	1	no	—
148	C₂×C₄×C₁₉₁	—	2	1	no	—
149	C₂×C₄×C₁₉₁	—	2	1	no	—
150	C₂×C₄×C₁₉₁	—	2	1	no	—
151	C₂×C₄×C₁₉₁	C₂×D₄	1	1	yes	characteristic
152	C₂×C₄×C₁₉₁	C₂⁴	1	1	yes	characteristic
153	C₈×C₁₉₁	—	2	1	no	—
154	C₈×C₁₉₁	—	2	1	no	—
155	C₂²×C₁₉₁	—	2	1	no	—
156	C₂²×C₁₉₁	—	2	1	no	—
157	C₂²×C₁₉₁	—	2	1	no	—
158	C₂²×C₁₉₁	—	4	1	no	—
159	C₂²×C₁₉₁	—	4	1	no	—
160	C₂²×C₁₉₁	—	4	1	no	—
161	C₂²×C₁₉₁	C₂²×D₄	1	1	yes	characteristic
162	C₂×D₁₉₁	—	2	1	no	—
163	C₂×D₁₉₁	—	2	1	no	—
164	C₂×D₁₉₁	—	2	1	no	—
165	C₂×D₁₉₁	—	2	1	no	—
166	C₂×D₁₉₁	—	4	4	no	—
167	C₂×D₁₉₁	—	4	1	no	—
168	C₂×D₁₉₁	—	4	1	no	—
169	C₂×D₁₉₁	—	4	1	no	—
170	C₂×D₁₉₁	—	8	4	no	—
171	C₂×D₁₉₁	#123	1	2	yes	—
172	C₂×D₁₉₁	AGL(1,ℤ/8)	1	2	yes	—
173	C₄×C₁₉₁	—	2	1	no	—
174	C₄×C₁₉₁	—	4	1	no	—
175	C₄×C₁₉₁	—	4	1	no	—
176	C₄×C₁₉₁	—	4	1	no	—
177	C₄×C₁₉₁	C₂×#41	1	1	yes	characteristic
178	C₄×C₁₉₁	C₂×#41	1	1	yes	characteristic
179	Dic₁₉₁	—	2	1	no	—
180	Dic₁₉₁	—	4	1	no	—
181	Dic₁₉₁	—	4	1	no	—
182	Dic₁₉₁	—	4	1	no	—
183	Dic₁₉₁	#123	1	2	yes	—
184	C₂×C₁₉₁	—	4	1	no	—
185	C₂×C₁₉₁	—	8	1	no	—
186	C₂×C₁₉₁	C₂×#123	1	1	yes	characteristic
187	C₂×C₁₉₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
188	C₂×C₁₉₁	#575	1	1	yes	characteristic
189	D₁₉₁	—	2	2	no	—
190	D₁₉₁	—	2	2	no	—
191	D₁₉₁	—	8	1	no	—
192	C₁₉₁	#3094	1	1	yes	characteristic, complemented, Sylow
193	#3094	—	191	1	no	maximal, Sylow
194	C₂×#121	—	191	1	no	—
195	C₂×#117	—	191	1	no	—
196	#482	—	191	1	no	—
197	#482	—	191	1	no	—
198	#482	—	191	1	no	—
199	#482	D₁₉₁	1	1	yes	characteristic, complemented
200	#481	—	191	1	no	—
201	#481	—	191	1	no	—
202	#480	—	191	1	no	—
203	#480	—	191	1	no	—
204	#428	—	191	1	no	—
205	#428	—	191	1	no	—
206	#418	—	191	1	no	—
207	#418	—	191	1	no	—
208	#407	—	191	1	no	—
209	C₂²×D₄	—	382	1	no	—
210	C₂²×D₄	—	191	1	no	—
211	C₂³×C₄	—	191	1	no	—
212	C₂×M₁₆	—	191	1	no	—
213	C₂×M₁₆	—	191	1	no	—
214	#121	—	382	1	no	—
215	#121	—	382	1	no	—
216	#121	—	191	1	no	—
217	#121	—	191	1	no	—
218	#121	—	191	1	no	—
219	#121	C₂×D₁₉₁	1	1	yes	characteristic
220	#117	—	382	1	no	—
221	#117	—	382	1	no	—
222	#117	—	191	1	no	—
223	#117	—	191	1	no	—
224	#117	—	191	1	no	—
225	#117	C₂×D₁₉₁	1	1	yes	characteristic, complemented
226	C₂×C₄⋊C₄	—	191	1	no	—
227	C₂×C₄⋊C₄	—	191	1	no	—
228	C₂×C₄⋊C₄	—	191	1	no	—
229	C₂×C₂²⋊C₄	—	382	1	no	—
230	C₂×C₂²⋊C₄	—	382	1	no	—
231	C₂×C₄²	—	382	1	no	—
232	#107	—	191	1	no	—
233	#107	—	191	1	no	—
234	#107	—	191	1	no	—
235	#107	C₂×D₁₉₁	1	1	yes	characteristic, complemented
236	#106	—	191	1	no	—
237	#106	—	191	1	no	—
238	#106	—	191	1	no	—
239	#106	C₂×D₁₉₁	1	1	yes	characteristic, complemented
240	#102	—	191	1	no	—
241	#102	—	191	1	no	—
242	#102	—	191	1	no	—
243	#102	—	191	1	no	—
244	#102	—	191	1	no	—
245	#102	—	191	1	no	—
246	#102	C₂×D₁₉₁	1	1	yes	characteristic, complemented
247	#102	C₂×D₁₉₁	1	1	yes	characteristic, complemented
248	C₂²⋊C₈	—	191	1	no	—
249	C₂²⋊C₈	—	191	1	no	—
250	C₂²⋊C₈	—	191	1	no	—
251	C₂²⋊C₈	C₂×D₁₉₁	1	1	yes	characteristic, complemented
252	C₂⁴	—	382	1	no	—
253	C₂⁴	—	191	1	no	—
254	C₂×D₄	—	2	1	no	—
255	C₂×D₄	—	382	1	no	—
256	C₂×D₄	—	382	1	no	—
257	C₂×D₄	—	382	1	no	—
258	C₂×D₄	—	382	2	no	—
259	C₂×D₄	—	382	2	no	—
260	C₂×D₄	—	382	1	no	—
261	C₂×D₄	—	191	1	no	—
262	C₂×D₄	—	764	4	no	—
263	C₂×D₄	C₂²×D₁₉₁	1	1	yes	characteristic
264	C₂²×C₄	—	382	2	no	—
265	C₂²×C₄	—	382	2	no	—
266	C₂²×C₄	—	382	1	no	—
267	C₂²×C₄	—	382	1	no	—
268	C₂²×C₄	—	382	1	no	—
269	C₂²×C₄	—	191	1	no	—
270	C₂²×C₄	—	191	1	no	—
271	C₂²×C₄	—	191	1	no	—
272	C₂²×C₄	—	191	1	no	—
273	C₂²×C₄	—	191	1	no	—
274	C₂²×C₄	C₂²×D₁₉₁	1	1	yes	characteristic
275	M₁₆	—	382	2	no	—
276	M₁₆	—	382	2	no	—
277	C₂×C₈	—	191	1	no	—
278	C₂×C₈	—	191	1	no	—
279	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
280	C₂×C₈	C₂²×D₁₉₁	1	1	yes	characteristic
281	C₄⋊C₄	—	382	1	no	—
282	C₄⋊C₄	—	382	1	no	—
283	C₄⋊C₄	—	382	1	no	—
284	C₄⋊C₄	—	191	1	no	—
285	C₄⋊C₄	—	191	1	no	—
286	C₄⋊C₄	—	191	1	no	—
287	C₄⋊C₄	C₂²×D₁₉₁	1	1	yes	characteristic
288	C₄⋊C₄	C₂²×D₁₉₁	1	1	yes	characteristic
289	C₄⋊C₄	C₂²×D₁₉₁	1	1	yes	characteristic
290	C₂²⋊C₄	—	2	1	no	—
291	C₂²⋊C₄	—	2	1	no	—
292	C₂²⋊C₄	—	382	1	no	—
293	C₂²⋊C₄	—	382	1	no	—
294	C₂²⋊C₄	—	382	1	no	—
295	C₂²⋊C₄	—	382	1	no	—
296	C₂²⋊C₄	—	382	1	no	—
297	C₂²⋊C₄	—	382	1	no	—
298	C₄²	—	2	1	no	—
299	C₄²	—	382	1	no	—
300	C₄²	—	382	1	no	—
301	C₄²	—	382	1	no	—
302	C₂³	—	2	1	no	—
303	C₂³	—	382	2	no	—
304	C₂³	—	382	2	no	—
305	C₂³	—	382	1	no	—
306	C₂³	—	191	1	no	—
307	C₂³	—	191	1	no	—
308	C₂³	—	764	1	no	—
309	C₂³	—	764	2	no	—
310	C₂³	—	764	2	no	—
311	C₂³	—	764	2	no	—
312	C₂³	D₄×D₁₉₁	1	1	yes	characteristic
313	D₄	—	2	1	no	—
314	D₄	—	2	1	no	—
315	D₄	—	4	2	no	—
316	D₄	—	382	1	no	—
317	D₄	—	382	1	no	—
318	D₄	—	764	2	no	—
319	D₄	—	764	2	no	—
320	D₄	—	764	2	no	—
321	D₄	—	764	2	no	—
322	C₂×C₄	—	2	1	no	—
323	C₂×C₄	—	2	1	no	—
324	C₂×C₄	—	2	1	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	382	2	no	—
328	C₂×C₄	—	382	2	no	—
329	C₂×C₄	—	382	2	no	—
330	C₂×C₄	—	382	1	no	—
331	C₂×C₄	—	382	1	no	—
332	C₂×C₄	—	382	1	no	—
333	C₂×C₄	—	382	1	no	—
334	C₂×C₄	—	382	1	no	—
335	C₂×C₄	—	191	1	no	—
336	C₂×C₄	—	191	1	no	—
337	C₂×C₄	—	191	2	no	—
338	C₂×C₄	—	191	2	no	—
339	C₂×C₄	—	764	2	no	—
340	C₂×C₄	—	764	2	no	—
341	C₂×C₄	—	764	2	no	—
342	C₂×C₄	D₄×D₁₉₁	1	1	yes	characteristic
343	C₂×C₄	C₂³×D₁₉₁	1	1	yes	characteristic
344	C₈	—	2	1	no	—
345	C₈	—	2	1	no	—
346	C₈	—	382	1	no	—
347	C₈	—	382	1	no	—
348	C₂²	—	2	1	no	—
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	4	1	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	382	1	no	—
355	C₂²	—	382	1	no	—
356	C₂²	—	382	1	no	—
357	C₂²	—	382	1	no	—
358	C₂²	—	191	2	no	—
359	C₂²	—	191	2	no	—
360	C₂²	—	1528	4	no	—
361	C₂²	—	764	4	no	—
362	C₂²	—	764	1	no	—
363	C₂²	—	764	1	no	—
364	C₂²	—	764	1	no	—
365	C₂²	C₂×D₄×D₁₉₁	1	1	yes	characteristic
366	C₄	—	2	1	no	—
367	C₄	—	4	1	no	—
368	C₄	—	4	1	no	—
369	C₄	—	4	1	no	—
370	C₄	—	382	1	no	—
371	C₄	—	191	2	no	—
372	C₄	—	764	1	no	—
373	C₄	—	764	1	no	—
374	C₄	—	764	1	no	—
375	C₄	#41×D₁₉₁	1	1	yes	characteristic
376	C₄	#41×D₁₉₁	1	1	yes	characteristic
377	C₂	—	4	1	no	—
378	C₂	—	8	1	no	—
379	C₂	—	382	2	no	—
380	C₂	—	382	2	no	—
381	C₂	—	1528	1	no	—
382	C₂	#123×D₁₉₁	1	1	yes	characteristic
383	C₂	AGL(1,ℤ/8)×D₁₉₁	1	1	yes	characteristic
384	C₂	#27133460	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₄×D₁₉₁
commutator, cosocle	C₂×C₄×C₁₉₁	C₂⁴
Frattini	C₂×C₄	C₂³×D₁₉₁
Fitting	#482×C₁₉₁	C₂
socle	C₂²×C₁₉₁	C₂²×D₄
prime radical	#121×D₁₉₁	C₂
hypercenter	#482	D₁₉₁
hypocenter	C₁₉₁	#3094
LCS	G ▷ C₂×C₄×C₁₉₁ ▷ C₂×C₁₉₁ ▷ C₁₉₁
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ #482

Complements

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

N	H ≅ G/N	type
2. #117×D₁₉₁	C₂	semidirect
3. #27132988	C₂	semidirect
4. #27132987	C₂	semidirect
5. #27132984	C₂	semidirect
6. #27132983	C₂	semidirect
7. #27132980	C₂	semidirect
8. #27132978	C₂	semidirect
9. #27132975	C₂	semidirect
10. #27132704	C₂	semidirect
11. #27132702	C₂	semidirect
12. #27132666	C₂	semidirect
13. #27132666	C₂	semidirect
14. #27132625	C₂	semidirect
15. #482×C₁₉₁	C₂	semidirect
26. #20259281	C₂²	semidirect
32. C₄⋊C₄×D₁₉₁	C₂²	semidirect
33. C₄⋊C₄×D₁₉₁	C₂²	semidirect
37. #20259256	C₂²	semidirect
38. #20259255	C₂²	semidirect
39. #20259255	C₂²	semidirect
40. #20259254	C₂²	semidirect
41. #20259253	C₂²	semidirect
42. #20259253	C₂²	semidirect
43. #20259244	C₂²	semidirect
44. #20259244	C₂²	semidirect
45. #20259243	C₂²	semidirect
46. #20259243	C₂²	semidirect
47. #20259242	C₂²	semidirect
48. #20259242	C₂²	semidirect
49. C₂²⋊(C₁₉₁⋊C₈)	C₂²	semidirect
50. (C₂×D₁₉₁)⋊C₈	C₂²	semidirect
51. (C₂×D₁₉₁)⋊C₈	C₂²	semidirect
53. #117×C₁₉₁	C₂²	semidirect
54. #107×C₁₉₁	C₂²	semidirect
55. #106×C₁₉₁	C₂²	semidirect
56. #102×C₁₉₁	C₂²	semidirect
57. #102×C₁₉₁	C₂²	semidirect
58. C₂²⋊C₈×C₁₉₁	C₂²	semidirect
192. C₁₉₁	#3094	semidirect
199. #482	D₁₉₁	semidirect
225. #117	C₂×D₁₉₁	semidirect
235. #107	C₂×D₁₉₁	semidirect
239. #106	C₂×D₁₉₁	semidirect
246. #102	C₂×D₁₉₁	semidirect
247. #102	C₂×D₁₉₁	semidirect
251. C₂²⋊C₈	C₂×D₁₉₁	semidirect

Maximal subgroups

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

subgroup	index
#121×D₁₉₁	2
#117×D₁₉₁	2
#27132988	2
#27132987	2
#27132984	2
#27132983	2
#27132980	2
#27132978	2
#27132975	2
#27132704	2
#27132702	2
#27132666	2
#27132625	2
#482×C₁₉₁	2
#3094	191