Subgroups — #35153251

Order 20224.

1702 conjugacy classes of subgroups.

The subgroup lattice has 348 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#23772506	C₂	1	4	yes	maximal, complemented
2	#23772502	C₂	1	4	yes	maximal, complemented
3	#23772495	C₂	1	8	yes	maximal, complemented
4	Q₈×#11929608	C₂	1	8	yes	maximal, complemented
5	#23772038	C₂	1	4	yes	maximal
6	#23772033	C₂	1	2	yes	maximal
7	C₂×#533×C₇₉	C₂	1	1	yes	maximal, characteristic
8	#19098694	C₂²	1	16	yes	complemented
9	#19098694	C₂²	1	32	yes	complemented
10	Q₈×C₇₉⋊C₈	C₂²	1	16	yes	complemented
11	#19098624	C₂²	1	16	yes	—
12	#19098624	C₂²	1	16	yes	—
13	#19098620	C₂²	1	4	yes	—
14	#19098620	C₂²	1	4	yes	—
15	#19098616	C₂²	1	4	yes	—
16	#19098616	C₂²	1	4	yes	—
17	#19098587	C₂²	1	4	yes	—
18	#19098587	C₂²	1	8	yes	—
19	#19098527	C₂²	1	4	yes	—
20	C₄×#11929608	C₂²	1	4	yes	—
21	C₄×#11929608	C₂²	1	8	yes	—
22	#533×C₇₉	C₄	1	2	yes	—
23	#533×C₇₉	C₄	1	4	yes	—
24	#533×C₇₉	C₄	1	2	yes	—
25	#533×C₇₉	C₂²	1	4	yes	—
26	#533×C₇₉	C₂²	1	2	yes	—
27	#533×C₇₉	C₂²	1	2	yes	—
28	C₂×C₄⋊Q₈×C₇₉	C₄	1	2	yes	—
29	C₂×#125×C₇₉	C₄	1	2	yes	—
30	C₂×C₂²⋊Q₈×C₇₉	C₄	1	4	yes	—
31	C₂×C₄×Q₈×C₇₉	C₂²	1	4	yes	—
32	C₂×#117×C₇₉	C₂²	1	2	yes	—
33	C₂²×C₄²×C₇₉	C₂²	1	1	yes	characteristic
34	C₂×#11929608	C₂³	1	8	yes	—
35	C₄⋊(C₇₉⋊C₈)	C₂³	1	32	yes	—
36	C₄⋊(C₇₉⋊C₈)	C₂³	1	8	yes	—
37	C₄⋊(C₇₉⋊C₈)	C₂³	1	8	yes	—
38	C₂²⋊(C₇₉⋊C₈)	C₂³	1	8	yes	—
39	C₂²⋊(C₇₉⋊C₈)	C₂³	1	8	yes	—
40	#14579072	C₂³	1	16	yes	—
41	#14579072	C₂³	1	8	yes	—
42	C₄×C₇₉⋊C₈	C₂³	1	16	yes	—
43	C₄×C₇₉⋊C₈	C₂³	1	8	yes	—
44	C₂²×Q₈×C₇₉	C₂×C₄	1	4	yes	—
45	C₂³×C₄×C₇₉	C₂×C₄	1	2	yes	—
46	C₂³×C₄×C₇₉	C₂³	1	1	yes	characteristic
47	C₄⋊Q₈×C₇₉	C₂×C₄	1	4	yes	—
48	C₄⋊Q₈×C₇₉	C₂×C₄	1	4	yes	—
49	C₄⋊Q₈×C₇₉	C₂×C₄	1	4	yes	—
50	C₄⋊Q₈×C₇₉	C₂×C₄	1	4	yes	—
51	#125×C₇₉	C₂×C₄	1	8	yes	—
52	#125×C₇₉	C₂×C₄	1	4	yes	—
53	#125×C₇₉	C₂×C₄	1	4	yes	—
54	C₂²⋊Q₈×C₇₉	C₂×C₄	1	8	yes	—
55	C₂²⋊Q₈×C₇₉	C₂×C₄	1	8	yes	—
56	C₂²⋊Q₈×C₇₉	C₂×C₄	1	8	yes	—
57	C₂²⋊Q₈×C₇₉	C₂×C₄	1	8	yes	—
58	C₄×Q₈×C₇₉	C₂×C₄	1	8	yes	—
59	C₄×Q₈×C₇₉	C₂×C₄	1	8	yes	—
60	C₄×Q₈×C₇₉	C₂³	1	8	yes	—
61	C₄×Q₈×C₇₉	C₂³	1	8	yes	—
62	#117×C₇₉	C₂×C₄	1	4	yes	—
63	#117×C₇₉	C₂×C₄	1	4	yes	—
64	#117×C₇₉	C₂³	1	4	yes	—
65	#117×C₇₉	C₂³	1	4	yes	—
66	C₂×C₄⋊C₄×C₇₉	C₂×C₄	1	4	yes	—
67	C₂×C₄⋊C₄×C₇₉	C₂×C₄	1	8	yes	—
68	C₂×C₄⋊C₄×C₇₉	C₂×C₄	1	4	yes	—
69	C₂×C₂²⋊C₄×C₇₉	C₂×C₄	1	4	yes	—
70	C₂×C₄²×C₇₉	C₂×C₄	1	1	yes	characteristic
71	C₂×C₄²×C₇₉	C₂×C₄	1	1	yes	characteristic
72	C₂×C₄²×C₇₉	C₂×C₄	1	1	yes	characteristic
73	C₂×C₄²×C₇₉	C₂×C₄	1	2	yes	—
74	C₂×C₄²×C₇₉	C₂×C₄	1	1	yes	characteristic
75	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
76	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
77	C₂×C₄²×C₇₉	C₂³	1	2	yes	—
78	C₂×C₄²×C₇₉	C₂³	1	1	yes	characteristic
79	C₂×C₄²×C₇₉	C₂³	1	4	yes	—
80	#11929608	—	2	16	no	—
81	C₂×C₇₉⋊C₈	C₂⁴	1	16	yes	—
82	C₂⁴×C₇₉	C₂²×C₄	1	1	yes	characteristic
83	C₂×Q₈×C₇₉	—	4	8	no	—
84	C₂×Q₈×C₇₉	C₂²×C₄	1	8	yes	—
85	C₂×Q₈×C₇₉	C₂²×C₄	1	8	yes	—
86	C₂²×C₄×C₇₉	—	2	4	no	—
87	C₂²×C₄×C₇₉	—	4	4	no	—
88	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
90	C₂²×C₄×C₇₉	C₂²×C₄	1	1	yes	characteristic
91	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
92	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
93	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
94	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
95	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
96	C₂²×C₄×C₇₉	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₇₉	C₂²×C₄	1	8	yes	—
98	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
99	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
100	C₂²×C₄×C₇₉	C₂⁴	1	1	yes	characteristic
101	C₄⋊C₄×C₇₉	C₂²×C₄	1	8	yes	—
102	C₄⋊C₄×C₇₉	C₂²×C₄	1	8	yes	—
103	C₄⋊C₄×C₇₉	C₂²×C₄	1	16	yes	—
104	C₄⋊C₄×C₇₉	C₂²×C₄	1	16	yes	—
105	C₄⋊C₄×C₇₉	C₂²×C₄	1	8	yes	—
106	C₄⋊C₄×C₇₉	C₂²×C₄	1	8	yes	—
107	C₂²⋊C₄×C₇₉	C₂²×C₄	1	8	yes	—
108	C₂²⋊C₄×C₇₉	C₂²×C₄	1	8	yes	—
109	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
110	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
111	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
112	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
113	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
114	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
115	C₄²×C₇₉	C₂²×C₄	1	2	yes	—
116	C₄²×C₇₉	C₂²×C₄	1	1	yes	characteristic
117	C₄²×C₇₉	C₂²×C₄	1	8	yes	—
118	C₄²×C₇₉	C₂⁴	1	2	yes	—
119	C₄²×C₇₉	C₂⁴	1	2	yes	—
120	C₄²×C₇₉	C₂⁴	1	8	yes	—
121	C₂³×C₇₉	—	2	2	no	—
122	C₂³×C₇₉	—	4	2	no	—
123	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
124	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
125	C₂³×C₇₉	C₂³×C₄	1	1	yes	characteristic
126	Q₈×C₇₉	—	2	16	no	—
127	Q₈×C₇₉	—	4	8	no	—
128	C₂×C₄×C₇₉	—	2	2	no	—
129	C₂×C₄×C₇₉	—	2	2	no	—
130	C₂×C₄×C₇₉	—	2	2	no	—
131	C₂×C₄×C₇₉	—	2	4	no	—
132	C₂×C₄×C₇₉	—	2	4	no	—
133	C₂×C₄×C₇₉	—	2	4	no	—
134	C₂×C₄×C₇₉	—	2	2	no	—
135	C₂×C₄×C₇₉	—	2	2	no	—
136	C₂×C₄×C₇₉	—	4	2	no	—
137	C₂×C₄×C₇₉	—	4	2	no	—
138	C₂×C₄×C₇₉	—	4	2	no	—
139	C₂×C₄×C₇₉	—	4	8	no	—
140	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
141	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
142	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
143	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
144	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
145	C₂×C₄×C₇₉	C₂³×C₄	1	16	yes	—
146	C₂×C₄×C₇₉	C₂³×C₄	1	1	yes	characteristic
147	C₂×C₄×C₇₉	C₂³×C₄	1	2	yes	—
148	C₂×C₄×C₇₉	2₋¹⁺⁴	1	4	yes	—
149	C₂×C₄×C₇₉	C₂⁵	1	1	yes	characteristic
150	C₇₉⋊C₈	—	2	16	no	—
151	C₂²×C₇₉	—	2	2	no	—
152	C₂²×C₇₉	—	2	1	no	—
153	C₂²×C₇₉	—	2	1	no	—
154	C₂²×C₇₉	—	2	2	no	—
155	C₂²×C₇₉	—	2	2	no	—
156	C₂²×C₇₉	—	4	4	no	—
157	C₂²×C₇₉	#519	1	2	yes	—
158	C₂²×C₇₉	C₂⁴×C₄	1	1	yes	characteristic
159	C₄×C₇₉	—	2	1	no	—
160	C₄×C₇₉	—	2	1	no	—
161	C₄×C₇₉	—	2	2	no	—
162	C₄×C₇₉	—	2	2	no	—
163	C₄×C₇₉	—	2	2	no	—
164	C₄×C₇₉	—	2	16	no	—
165	C₄×C₇₉	#519	1	2	yes	—
166	C₄×C₇₉	#568	1	4	yes	—
167	C₄×C₇₉	C₂×2₋¹⁺⁴	1	2	yes	—
168	#60249	—	79	1	no	maximal, Sylow
169	C₂×C₇₉	—	2	2	no	—
170	C₂×C₇₉	—	4	1	no	—
171	C₂×C₇₉	—	4	1	no	—
172	C₂×C₇₉	C₂×#519	1	1	yes	characteristic
173	C₂×C₇₉	C₂×#568	1	2	yes	—
174	C₂×#533	D₇₉	1	1	yes	characteristic
175	#2987	—	79	4	no	—
176	#2986	—	79	4	no	—
177	#2985	—	79	8	no	—
178	Q₈×M₁₆	—	79	8	no	—
179	#2921	—	79	4	no	—
180	#2920	—	79	2	no	—
181	C₇₉	#60249	1	1	yes	characteristic, complemented, Sylow
182	#533	Dic₇₉	1	2	yes	—
183	#533	Dic₇₉	1	4	yes	—
184	#533	Dic₇₉	1	2	yes	—
185	#533	C₂×D₇₉	1	4	yes	—
186	#533	C₂×D₇₉	1	2	yes	—
187	#533	C₂×D₇₉	1	2	yes	—
188	C₂×C₄⋊Q₈	Dic₇₉	1	2	yes	—
189	C₂×#125	Dic₇₉	1	2	yes	—
190	C₂×C₂²⋊Q₈	Dic₇₉	1	4	yes	—
191	C₂×C₄×Q₈	C₂×D₇₉	1	4	yes	—
192	C₂×#117	C₂×D₇₉	1	2	yes	—
193	C₂²×C₄²	C₂×D₇₉	1	1	yes	characteristic
194	#446	—	79	16	no	—
195	#446	—	79	32	no	—
196	C₈×Q₈	—	79	16	no	—
197	#433	—	79	16	no	—
198	#433	—	79	16	no	—
199	#432	—	79	4	no	—
200	#432	—	79	4	no	—
201	#431	—	79	4	no	—
202	#431	—	79	4	no	—
203	#423	—	79	4	no	—
204	#423	—	79	8	no	—
205	#407	—	79	4	no	—
206	C₄×M₁₆	—	79	4	no	—
207	C₄×M₁₆	—	79	8	no	—
208	C₂²×Q₈	C₂×Dic₇₉	1	4	yes	—
209	C₂³×C₄	C₂×Dic₇₉	1	2	yes	—
210	C₂³×C₄	C₂²×D₇₉	1	1	yes	characteristic
211	C₂×M₁₆	—	79	8	no	—
212	C₄⋊Q₈	C₂×Dic₇₉	1	4	yes	—
213	C₄⋊Q₈	C₂×Dic₇₉	1	4	yes	—
214	C₄⋊Q₈	C₂×Dic₇₉	1	4	yes	—
215	C₄⋊Q₈	C₂×Dic₇₉	1	4	yes	—
216	#125	C₂×Dic₇₉	1	8	yes	—
217	#125	C₂×Dic₇₉	1	4	yes	—
218	#125	C₂×Dic₇₉	1	4	yes	—
219	C₂²⋊Q₈	C₂×Dic₇₉	1	8	yes	—
220	C₂²⋊Q₈	C₂×Dic₇₉	1	8	yes	—
221	C₂²⋊Q₈	C₂×Dic₇₉	1	8	yes	—
222	C₂²⋊Q₈	C₂×Dic₇₉	1	8	yes	—
223	C₄×Q₈	C₂×Dic₇₉	1	8	yes	—
224	C₄×Q₈	C₂×Dic₇₉	1	8	yes	—
225	C₄×Q₈	C₂²×D₇₉	1	8	yes	—
226	C₄×Q₈	C₂²×D₇₉	1	8	yes	—
227	#117	C₂×Dic₇₉	1	4	yes	—
228	#117	C₂×Dic₇₉	1	4	yes	—
229	#117	C₂²×D₇₉	1	4	yes	—
230	#117	C₂²×D₇₉	1	4	yes	—
231	C₂×C₄⋊C₄	C₂×Dic₇₉	1	4	yes	—
232	C₂×C₄⋊C₄	C₂×Dic₇₉	1	8	yes	—
233	C₂×C₄⋊C₄	C₂×Dic₇₉	1	4	yes	—
234	C₂×C₂²⋊C₄	C₂×Dic₇₉	1	4	yes	—
235	C₂×C₄²	C₂×Dic₇₉	1	1	yes	characteristic
236	C₂×C₄²	C₂×Dic₇₉	1	1	yes	characteristic
237	C₂×C₄²	C₂×Dic₇₉	1	1	yes	characteristic
238	C₂×C₄²	C₂×Dic₇₉	1	2	yes	—
239	C₂×C₄²	C₂×Dic₇₉	1	1	yes	characteristic
240	C₂×C₄²	C₂²×D₇₉	1	4	yes	—
241	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
242	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
243	C₂×C₄²	C₂²×D₇₉	1	2	yes	—
244	C₂×C₄²	C₂²×D₇₉	1	1	yes	characteristic
245	C₄⋊C₈	—	79	8	no	—
246	C₄⋊C₈	—	79	8	no	—
247	C₄⋊C₈	—	79	32	no	—
248	C₂²⋊C₈	—	79	8	no	—
249	C₂²⋊C₈	—	79	8	no	—
250	#97	—	79	8	no	—
251	#97	—	79	16	no	—
252	C₄×C₈	—	79	8	no	—
253	C₄×C₈	—	79	16	no	—
254	C₂⁴	C₂²×Dic₇₉	1	1	yes	characteristic
255	C₂×Q₈	—	4	8	no	—
256	C₂×Q₈	C₂²×Dic₇₉	1	8	yes	—
257	C₂×Q₈	C₂²×Dic₇₉	1	8	yes	—
258	C₂²×C₄	—	2	4	no	—
259	C₂²×C₄	—	4	4	no	—
260	C₂²×C₄	C₂²×Dic₇₉	1	2	yes	—
261	C₂²×C₄	C₂²×Dic₇₉	1	2	yes	—
262	C₂²×C₄	C₂²×Dic₇₉	1	2	yes	—
263	C₂²×C₄	C₂²×Dic₇₉	1	1	yes	characteristic
264	C₂²×C₄	C₂²×Dic₇₉	1	1	yes	characteristic
265	C₂²×C₄	C₂²×Dic₇₉	1	1	yes	characteristic
266	C₂²×C₄	C₂²×Dic₇₉	1	2	yes	—
267	C₂²×C₄	C₂²×Dic₇₉	1	2	yes	—
268	C₂²×C₄	C₂²×Dic₇₉	1	2	yes	—
269	C₂²×C₄	C₂²×Dic₇₉	1	8	yes	—
270	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
271	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
272	C₂²×C₄	C₂³×D₇₉	1	1	yes	characteristic
273	M₁₆	—	158	16	no	—
274	C₂×C₈	—	79	16	no	—
275	C₄⋊C₄	C₂²×Dic₇₉	1	8	yes	—
276	C₄⋊C₄	C₂²×Dic₇₉	1	8	yes	—
277	C₄⋊C₄	C₂²×Dic₇₉	1	16	yes	—
278	C₄⋊C₄	C₂²×Dic₇₉	1	16	yes	—
279	C₄⋊C₄	C₂²×Dic₇₉	1	8	yes	—
280	C₄⋊C₄	C₂²×Dic₇₉	1	8	yes	—
281	C₂²⋊C₄	C₂²×Dic₇₉	1	8	yes	—
282	C₂²⋊C₄	C₂²×Dic₇₉	1	8	yes	—
283	C₄²	C₂²×Dic₇₉	1	2	yes	—
284	C₄²	C₂²×Dic₇₉	1	2	yes	—
285	C₄²	C₂²×Dic₇₉	1	1	yes	characteristic
286	C₄²	C₂²×Dic₇₉	1	2	yes	—
287	C₄²	C₂²×Dic₇₉	1	1	yes	characteristic
288	C₄²	C₂²×Dic₇₉	1	1	yes	characteristic
289	C₄²	C₂²×Dic₇₉	1	2	yes	—
290	C₄²	C₂²×Dic₇₉	1	1	yes	characteristic
291	C₄²	C₂²×Dic₇₉	1	8	yes	—
292	C₄²	C₂³×D₇₉	1	2	yes	—
293	C₄²	C₂³×D₇₉	1	8	yes	—
294	C₄²	C₂³×D₇₉	1	2	yes	—
295	C₂³	—	2	2	no	—
296	C₂³	—	4	2	no	—
297	C₂³	C₂³×Dic₇₉	1	1	yes	characteristic
298	C₂³	C₂³×Dic₇₉	1	1	yes	characteristic
299	C₂³	C₂³×Dic₇₉	1	1	yes	characteristic
300	Q₈	—	2	16	no	—
301	Q₈	—	4	8	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	2	no	—
305	C₂×C₄	—	2	2	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	4	no	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	2	4	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	4	2	no	—
313	C₂×C₄	—	4	8	no	—
314	C₂×C₄	C₂³×Dic₇₉	1	1	yes	characteristic
315	C₂×C₄	C₂³×Dic₇₉	1	1	yes	characteristic
316	C₂×C₄	C₂³×Dic₇₉	1	2	yes	—
317	C₂×C₄	C₂³×Dic₇₉	1	2	yes	—
318	C₂×C₄	C₂³×Dic₇₉	1	2	yes	—
319	C₂×C₄	C₂³×Dic₇₉	1	16	yes	—
320	C₂×C₄	C₂³×Dic₇₉	1	1	yes	characteristic
321	C₂×C₄	C₂³×Dic₇₉	1	2	yes	—
322	C₂×C₄	#14579209	1	4	yes	—
323	C₂×C₄	C₂⁴×D₇₉	1	1	yes	characteristic
324	C₈	—	158	16	no	—
325	C₂²	—	2	2	no	—
326	C₂²	—	2	2	no	—
327	C₂²	—	2	2	no	—
328	C₂²	—	2	1	no	—
329	C₂²	—	2	1	no	—
330	C₂²	—	4	4	no	—
331	C₂²	#19099041	1	2	yes	—
332	C₂²	C₂⁴×Dic₇₉	1	1	yes	characteristic
333	C₄	—	2	2	no	—
334	C₄	—	2	2	no	—
335	C₄	—	2	2	no	—
336	C₄	—	2	16	no	—
337	C₄	—	2	1	no	—
338	C₄	—	2	1	no	—
339	C₄	#19099041	1	2	yes	—
340	C₄	#19099330	1	4	yes	—
341	C₄	C₂×#14579209	1	2	yes	—
342	C₂	—	2	2	no	—
343	C₂	—	4	1	no	—
344	C₂	—	4	1	no	—
345	C₂	C₂×#19099041	1	1	yes	characteristic
346	C₂	C₂×#19099330	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₉
commutator, socle	C₂²×C₇₉	C₂⁴×C₄
Fitting	C₂×#533×C₇₉	C₂
prime radical	C₂⁴×C₇₉	C₂²×C₄
cosocle	C₂×C₄×C₇₉	C₂⁵
hypercenter	C₂×#533	D₇₉
hypocenter	C₇₉	#60249
LCS	G ▷ C₂²×C₇₉ ▷ C₇₉
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#533

Complements

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

N	H ≅ G/N	type
1. #23772506	C₂	semidirect
2. #23772502	C₂	semidirect
3. #23772495	C₂	semidirect
4. Q₈×#11929608	C₂	semidirect
8. #19098694	C₂²	semidirect
9. #19098694	C₂²	semidirect
10. Q₈×C₇₉⋊C₈	C₂²	semidirect
181. C₇₉	#60249	semidirect

Maximal subgroups

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

subgroup	index
#23772506	2
#23772502	2
#23772495	2
Q₈×#11929608	2
#23772038	2
#23772033	2
C₂×#533×C₇₉	2
#60249	79