Subgroups — #72266380

Order 4096.

Only the 441 normal subgroups are shown; non-normal subgroups are omitted.

The subgroup lattice has 312 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72266379	C₂	1	1	yes	maximal, characteristic, complemented
2	#72266377	C₂	1	1	yes	maximal, characteristic, complemented
3	#72266374	C₂	1	1	yes	maximal, characteristic, complemented
4	#72266373	C₂	1	1	yes	maximal, characteristic, complemented
5	#72266372	C₂	1	1	yes	maximal, characteristic, complemented
6	#72259009	C₂	1	1	yes	maximal, characteristic, complemented
7	#72259004	C₂²	1	1	yes	characteristic, complemented
8	#72258401	C₂	1	1	yes	maximal, characteristic, complemented
9	#72258393	C₂²	1	1	yes	characteristic, complemented
10	#72258218	C₂	1	1	yes	maximal, characteristic, complemented
11	#72258111	C₂	1	1	yes	maximal, characteristic, complemented
12	#72258080	C₂	1	1	yes	maximal, characteristic, complemented
13	#72240420	C₂	1	1	yes	maximal, characteristic, complemented
14	#72236528	C₂	1	1	yes	maximal, characteristic, complemented
15	#72236440	C₂²	1	1	yes	characteristic, complemented
16	#72235165	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂²×#23895	C₂²	1	1	yes	characteristic
18	C₂²×#23895	C₂²	1	1	yes	characteristic, complemented
19	#72234718	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂²×#60399	C₂²	1	1	yes	characteristic
21	#72226367	C₂	1	1	yes	maximal, characteristic, complemented
22	#72225808	C₂²	1	1	yes	characteristic, complemented
23	#72225673	C₂²	1	1	yes	characteristic, complemented
24	#72225649	C₂²	1	1	yes	characteristic, complemented
25	#72225622	C₂²	1	1	yes	characteristic
26	#72225622	C₂²	1	1	yes	characteristic, complemented
27	#72219457	C₂²	1	1	yes	characteristic, complemented
28	#72219423	C₂²	1	1	yes	characteristic, complemented
29	#72219418	C₂²	1	1	yes	characteristic, complemented
30	#72219414	C₂²	1	1	yes	characteristic, complemented
31	#72219301	C₂²	1	1	yes	characteristic
32	#72219296	C₂²	1	1	yes	characteristic, complemented
33	#72219294	C₂²	1	1	yes	characteristic, complemented
34	#72219280	C₂²	1	1	yes	characteristic
35	#72219245	C₂²	1	1	yes	characteristic, complemented
36	#72218467	C₂²	1	1	yes	characteristic
37	#72218467	C₂²	1	1	yes	characteristic, complemented
38	#72218467	C₂²	1	1	yes	characteristic, complemented
39	#72218381	C₂²	1	1	yes	characteristic, complemented
40	#72218306	C₂²	1	1	yes	characteristic
41	#72218306	C₂²	1	1	yes	characteristic, complemented
42	#72218057	C₂²	1	1	yes	characteristic, complemented
43	#72214832	C₂²	1	1	yes	characteristic
44	#72214832	C₂²	1	1	yes	characteristic
45	#72214832	C₂²	1	1	yes	characteristic, complemented
46	#72213862	C₂²	1	1	yes	characteristic
47	#72213862	C₂²	1	1	yes	characteristic
48	#72210555	C₂²	1	1	yes	characteristic, complemented
49	#72210555	C₂²	1	1	yes	characteristic, complemented
50	#72210511	C₂²	1	1	yes	characteristic, complemented
51	C₂²×H(7,𝔽₂)	D₄	1	1	yes	characteristic, complemented
52	C₂×#62817	D₄	1	1	yes	characteristic, complemented
53	C₂²×#3484	C₂³	1	1	yes	characteristic
54	C₂²×#3484	C₂³	1	1	yes	characteristic
55	C₂²×#3484	C₂³	1	1	yes	characteristic
56	C₂²×#3484	C₂³	1	1	yes	characteristic
57	C₂²×#3026	D₄	1	2	yes	complemented
58	C₂²×#2883	D₄	1	1	yes	characteristic, complemented
59	C₂²×#2883	D₄	1	1	yes	characteristic, complemented
60	C₂²×#2883	D₄	1	1	yes	characteristic, complemented
61	#7642245	D₄	1	1	yes	characteristic, complemented
62	#7642244	D₄	1	1	yes	characteristic, complemented
63	#7630939	C₂³	1	1	yes	characteristic
64	C₂²×#2403	C₂³	1	1	yes	characteristic
65	#7626243	D₄	1	1	yes	characteristic, complemented
66	C₂×#23895	D₄	1	2	yes	complemented
67	#6437621	D₄	1	2	yes	complemented
68	C₂×#23900	D₄	1	2	yes	complemented
69	C₂×#21776	D₄	1	2	yes	complemented
70	C₂²×#1913	D₄	1	2	yes	complemented
71	C₂²×#1781	C₂³	1	1	yes	characteristic
72	C₂²×#1781	C₂³	1	1	yes	characteristic
73	#612424	D₄	1	2	yes	complemented
74	C₂×#13867	C₂³	1	1	yes	characteristic
75	C₂×#12705	D₄	1	4	yes	complemented
76	#392113	C₂³	1	1	yes	characteristic
77	#392109	C₂³	1	1	yes	characteristic
78	#392109	C₂³	1	1	yes	characteristic
79	#392109	C₂³	1	1	yes	characteristic
80	#392109	C₂³	1	1	yes	characteristic
81	#382434	D₄	1	2	yes	complemented
82	#359552	D₄	1	2	yes	complemented
83	#359549	D₄	1	2	yes	complemented
84	#359442	D₄	1	2	yes	complemented
85	#359428	D₄	1	2	yes	complemented
86	C₂×#10965	D₄	1	2	yes	complemented
87	#154195	D₄	1	2	yes	complemented
88	#154094	C₂³	1	1	yes	characteristic
89	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
90	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
91	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
92	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic, complemented
93	C₂⁵×D₄	C₂×D₄	1	1	yes	characteristic
94	C₂⁵×D₄	C₂⁴	1	1	yes	characteristic
95	C₂×#3484	C₂×D₄	1	2	yes	—
96	C₂×#3484	C₂×D₄	1	2	yes	—
97	C₂×#3484	C₂×D₄	1	1	yes	characteristic
98	C₂×#3484	C₂×D₄	1	1	yes	characteristic
99	C₂×#3484	C₂×D₄	1	1	yes	characteristic
100	C₂×#3484	C₂×D₄	1	1	yes	characteristic
101	C₂×#3484	C₂×D₄	1	1	yes	characteristic
102	C₂×#3484	C₂×D₄	1	1	yes	characteristic
103	C₂×#3484	C₂×D₄	1	1	yes	characteristic
104	C₂×#3484	C₂×D₄	1	2	yes	—
105	C₂×#3484	#41	1	2	yes	—
106	C₂²×#534	C₂×D₄	1	2	yes	—
107	C₂²×#534	C₂×D₄	1	2	yes	—
108	C₂³×#120	C₂×D₄	1	2	yes	—
109	C₂³×#120	C₂×D₄	1	2	yes	—
110	C₂³×#120	C₂×D₄	1	1	yes	characteristic
111	C₂³×#120	C₂×D₄	1	1	yes	characteristic
112	C₂²×#518	C₂×D₄	1	1	yes	characteristic
113	C₂²×#518	C₂×D₄	1	1	yes	characteristic
114	C₂²×#518	C₂×D₄	1	1	yes	characteristic
115	C₂²×#518	C₂×D₄	1	1	yes	characteristic, complemented
116	C₂⁴×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic, complemented
117	C₂³×#99	C₂×D₄	1	2	yes	complemented
118	#34171	C₂×D₄	1	1	yes	characteristic
119	#34171	C₂×D₄	1	1	yes	characteristic
120	#34171	C₂×D₄	1	1	yes	characteristic
121	C₂²×#386	C₂×D₄	1	1	yes	characteristic
122	C₂²×#386	C₂×D₄	1	1	yes	characteristic
123	C₂²×#379	C₂×D₄	1	1	yes	characteristic
124	C₂²×#379	C₂×D₄	1	1	yes	characteristic, complemented
125	C₂²×#379	C₂×D₄	1	2	yes	complemented
126	C₂×#1783	C₂×D₄	1	2	yes	complemented
127	C₂×#1781	C₂×D₄	1	2	yes	—
128	C₂×#1781	C₂×D₄	1	2	yes	—
129	C₂×#1781	C₂×D₄	1	2	yes	—
130	C₂×#1781	C₂×D₄	1	2	yes	—
131	C₂×#1781	C₂×D₄	1	2	yes	—
132	C₂×#1781	C₂×D₄	1	2	yes	complemented
133	#14679	C₂×D₄	1	2	yes	—
134	C₂⁷	#120	1	1	yes	characteristic, complemented
135	C₂⁷	C₂²×D₄	1	1	yes	characteristic
136	C₂⁷	C₂²×D₄	1	1	yes	characteristic
137	C₂²×H(5,𝔽₂)	#120	1	1	yes	characteristic
138	C₂²×H(5,𝔽₂)	#120	1	1	yes	characteristic
139	C₂²×H(5,𝔽₂)	#120	1	2	yes	—
140	C₂²×H(5,𝔽₂)	#120	1	1	yes	characteristic, complemented
141	C₂²×H(5,𝔽₂)	#121	1	2	yes	—
142	C₂⁴×D₄	#120	1	2	yes	—
143	C₂⁴×D₄	#120	1	2	yes	—
144	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
145	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
146	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
147	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
148	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
149	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
150	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
151	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
152	C₂⁴×D₄	C₂×#41	1	1	yes	characteristic
153	C₂⁴×D₄	H(5,𝔽₂)	1	1	yes	characteristic
154	C₂⁴×D₄	H(5,𝔽₂)	1	1	yes	characteristic
155	C₂⁴×D₄	H(5,𝔽₂)	1	1	yes	characteristic
156	C₂⁵×C₄	#120	1	1	yes	characteristic, complemented
157	C₂⁵×C₄	H(5,𝔽₂)	1	1	yes	characteristic
158	C₂×#534	#120	1	2	yes	—
159	C₂×#534	#120	1	2	yes	—
160	C₂×#534	#121	1	2	yes	—
161	C₂×#534	#121	1	2	yes	—
162	C₂²×#120	#121	1	2	yes	—
163	C₂²×#120	#121	1	2	yes	—
164	C₂²×#120	#127	1	2	yes	—
165	C₂²×#120	#127	1	2	yes	—
166	C₂×#518	#120	1	1	yes	characteristic
167	C₂×#518	#120	1	1	yes	characteristic
168	C₂×#518	#120	1	2	yes	—
169	C₂×#518	#120	1	1	yes	characteristic, complemented
170	C₂×#518	#120	1	1	yes	characteristic, complemented
171	C₂×#518	#120	1	1	yes	characteristic, complemented
172	C₂×#518	#121	1	2	yes	—
173	C₂³×C₂²⋊C₄	#120	1	2	yes	—
174	C₂³×C₂²⋊C₄	#120	1	2	yes	—
175	C₂³×C₂²⋊C₄	#120	1	1	yes	characteristic, complemented
176	C₂³×C₂²⋊C₄	#120	1	1	yes	characteristic, complemented
177	C₂²×#99	#120	1	4	yes	complemented
178	C₂×#379	#120	1	4	yes	complemented
179	C₂⁶	B(4,𝔽₂)	1	2	yes	—
180	C₂⁶	B(4,𝔽₂)	1	2	yes	—
181	C₂⁶	C₂×#120	1	1	yes	characteristic
182	C₂⁶	C₂×#120	1	1	yes	characteristic
183	C₂⁶	C₂×#120	1	1	yes	characteristic
184	C₂⁶	C₂×#120	1	1	yes	characteristic
185	C₂⁶	C₂×#121	1	1	yes	characteristic
186	C₂⁶	C₂×#127	1	1	yes	characteristic
187	C₂⁶	D₄²	1	1	yes	characteristic
188	C₂⁶	D₄²	1	1	yes	characteristic
189	C₂⁶	D₄²	1	1	yes	characteristic
190	C₂⁶	D₄²	1	1	yes	characteristic
191	C₂⁶	D₄²	1	1	yes	characteristic
192	C₂⁶	D₄²	1	1	yes	characteristic
193	C₂⁶	#546	1	1	yes	characteristic
194	C₂×H(5,𝔽₂)	B(4,𝔽₂)	1	4	yes	—
195	C₂×H(5,𝔽₂)	B(4,𝔽₂)	1	4	yes	—
196	C₂³×D₄	#392	1	2	yes	—
197	C₂³×D₄	#392	1	2	yes	—
198	C₂³×D₄	B(4,𝔽₂)	1	2	yes	—
199	C₂³×D₄	B(4,𝔽₂)	1	2	yes	—
200	C₂³×D₄	C₂×#120	1	1	yes	characteristic
201	C₂³×D₄	C₂×#120	1	1	yes	characteristic
202	C₂³×D₄	C₂×#120	1	1	yes	characteristic
203	C₂³×D₄	C₂×#120	1	1	yes	characteristic
204	C₂³×D₄	C₂×#120	1	1	yes	characteristic
205	C₂³×D₄	C₂×#121	1	1	yes	characteristic
206	C₂³×D₄	C₂×#121	1	1	yes	characteristic
207	C₂³×D₄	#534	1	1	yes	characteristic
208	C₂³×D₄	#534	1	1	yes	characteristic
209	C₂³×D₄	#535	1	1	yes	characteristic
210	C₂³×D₄	D₄²	1	1	yes	characteristic
211	C₂³×D₄	D₄²	1	1	yes	characteristic
212	C₂³×D₄	D₄²	1	1	yes	characteristic
213	C₂³×D₄	D₄²	1	1	yes	characteristic
214	C₂³×D₄	#546	1	1	yes	characteristic
215	C₂³×D₄	#546	1	1	yes	characteristic
216	C₂⁴×C₄	B(4,𝔽₂)	1	2	yes	—
217	C₂⁴×C₄	B(4,𝔽₂)	1	2	yes	—
218	C₂⁴×C₄	#534	1	1	yes	characteristic
219	C₂⁴×C₄	#534	1	1	yes	characteristic
220	C₂⁴×C₄	#535	1	1	yes	characteristic
221	C₂⁴×C₄	D₄²	1	1	yes	characteristic
222	C₂⁴×C₄	D₄²	1	1	yes	characteristic
223	C₂⁴×C₄	#546	1	1	yes	characteristic
224	#534	B(4,𝔽₂)	1	8	yes	—
225	C₂²×C₂²⋊C₄	#392	1	2	yes	—
226	C₂²×C₂²⋊C₄	#392	1	2	yes	—
227	C₂⁵	#2021	1	2	yes	—
228	C₂⁵	#2021	1	2	yes	—
229	C₂⁵	C₂×#392	1	1	yes	characteristic
230	C₂⁵	#2403	1	1	yes	characteristic
231	C₂⁵	#2403	1	1	yes	characteristic
232	C₂⁵	#2403	1	1	yes	characteristic
233	C₂⁵	#2408	1	1	yes	characteristic
234	C₂⁵	#2410	1	1	yes	characteristic
235	C₂⁵	#2410	1	1	yes	characteristic
236	C₂⁵	#2410	1	1	yes	characteristic
237	C₂⁵	#2433	1	1	yes	characteristic
238	C₂⁵	#2433	1	1	yes	characteristic
239	C₂⁵	#2846	1	1	yes	characteristic
240	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
241	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
242	C₂⁵	C₂×B(4,𝔽₂)	1	2	yes	—
243	C₂⁵	#3026	1	2	yes	—
244	C₂²×D₄	#2021	1	4	yes	—
245	C₂²×D₄	#2021	1	4	yes	—
246	C₂²×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
247	C₂²×D₄	C₂×B(4,𝔽₂)	1	4	yes	—
248	C₂²×D₄	C₂×B(4,𝔽₂)	1	2	yes	—
249	C₂²×D₄	#3026	1	2	yes	—
250	C₂²×D₄	#3026	1	2	yes	—
251	C₂³×C₄	#2021	1	2	yes	—
252	C₂³×C₄	#2021	1	2	yes	—
253	C₂³×C₄	#2403	1	1	yes	characteristic
254	C₂³×C₄	#2408	1	1	yes	characteristic
255	C₂³×C₄	#2410	1	1	yes	characteristic
256	C₂³×C₄	#2613	1	1	yes	characteristic
257	C₂×C₂²⋊C₄	#2021	1	4	yes	—
258	C₂⁴	#10336	1	4	yes	complemented
259	C₂⁴	#14715	1	1	yes	characteristic
260	C₂⁴	C₂×#2021	1	1	yes	characteristic
261	C₂⁴	C₂×#2021	1	2	yes	—
262	C₂⁴	C₂×#2021	1	2	yes	—
263	C₂⁴	#23444	1	1	yes	characteristic
264	C₂⁴	#23895	1	2	yes	—
265	C₂⁴	#23895	1	1	yes	characteristic
266	C₂⁴	#23895	1	1	yes	characteristic
267	C₂⁴	#23900	1	2	yes	—
268	C₂⁴	#23900	1	2	yes	—
269	C₂⁴	#23900	1	1	yes	characteristic
270	C₂⁴	#23900	1	1	yes	characteristic
271	C₂⁴	#23900	1	1	yes	characteristic
272	C₂⁴	#23900	1	1	yes	characteristic
273	C₂⁴	#23903	1	1	yes	characteristic
274	C₂⁴	#23903	1	1	yes	characteristic
275	C₂⁴	#24404	1	2	yes	—
276	C₂⁴	#32898	1	2	yes	—
277	C₂⁴	#32898	1	2	yes	—
278	C₂⁴	#32898	1	2	yes	—
279	C₂²×C₄	#10336	1	4	yes	complemented
280	C₂²×C₄	#23900	1	2	yes	—
281	C₂²×C₄	#24404	1	2	yes	—
282	C₂²×C₄	#29634	1	2	yes	—
283	C₂³	C₂×#10336	1	2	yes	—
284	C₂³	#233541	1	2	yes	—
285	C₂³	#245225	1	2	yes	—
286	C₂³	#245225	1	1	yes	characteristic
287	C₂³	#245225	1	1	yes	characteristic
288	C₂³	#245246	1	2	yes	—
289	C₂³	#245246	1	1	yes	characteristic
290	C₂³	#245246	1	1	yes	characteristic
291	C₂³	#347042	1	4	yes	—
292	C₂³	#393929	1	1	yes	characteristic
293	C₂³	#394058	1	1	yes	characteristic
294	C₂³	#394058	1	1	yes	characteristic
295	C₂³	#394064	1	1	yes	characteristic
296	C₂³	#394064	1	1	yes	characteristic
297	C₂³	#394066	1	1	yes	characteristic
298	C₂³	#394066	1	1	yes	characteristic
299	C₂²	B(5,𝔽₂)	1	1	yes	characteristic
300	C₂²	#72210600	1	1	yes	characteristic
301	C₂²	#72210600	1	1	yes	characteristic
302	C₂²	#72214549	1	1	yes	characteristic
303	C₂²	#72219240	1	1	yes	characteristic
304	C₂²	#72225609	1	1	yes	characteristic
305	C₂²	#72225609	1	1	yes	characteristic
306	C₂²	#72225610	1	1	yes	characteristic
307	C₂²	#72233445	1	1	yes	characteristic
308	C₂	#72225611	1	1	yes	characteristic
309	C₂	#72258791	1	1	yes	characteristic
310	C₂	#72265936	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#72225609
commutator, Frattini, cosocle	C₂⁵×D₄	C₂⁴
LCS	G ▷ C₂⁵×D₄ ▷ C₂⁴ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁵ ◁ C₂⁵×D₄ ◁ G
LECS	G ▷ C₂⁵×D₄ ▷ C₂⁴ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72266379	C₂	semidirect
2. #72266377	C₂	semidirect
3. #72266374	C₂	semidirect
4. #72266373	C₂	semidirect
5. #72266372	C₂	semidirect
6. #72259009	C₂	semidirect
7. #72259004	C₂²	semidirect
8. #72258401	C₂	semidirect
9. #72258393	C₂²	semidirect
10. #72258218	C₂	semidirect
11. #72258111	C₂	semidirect
12. #72258080	C₂	semidirect
13. #72240420	C₂	semidirect
14. #72236528	C₂	semidirect
15. #72236440	C₂²	semidirect
16. #72235165	C₂	semidirect
18. C₂²×#23895	C₂²	semidirect
19. #72234718	C₂	semidirect
21. #72226367	C₂	semidirect
22. #72225808	C₂²	semidirect
23. #72225673	C₂²	semidirect
24. #72225649	C₂²	semidirect
26. #72225622	C₂²	semidirect
27. #72219457	C₂²	semidirect
28. #72219423	C₂²	semidirect
29. #72219418	C₂²	semidirect
30. #72219414	C₂²	semidirect
32. #72219296	C₂²	semidirect
33. #72219294	C₂²	semidirect
35. #72219245	C₂²	semidirect
37. #72218467	C₂²	semidirect
38. #72218467	C₂²	semidirect
39. #72218381	C₂²	semidirect
41. #72218306	C₂²	semidirect
42. #72218057	C₂²	semidirect
45. #72214832	C₂²	semidirect
48. #72210555	C₂²	semidirect
49. #72210555	C₂²	semidirect
50. #72210511	C₂²	semidirect
51. C₂²×H(7,𝔽₂)	D₄	semidirect
52. C₂×#62817	D₄	semidirect
57. C₂²×#3026	D₄	semidirect
58. C₂²×#2883	D₄	semidirect
59. C₂²×#2883	D₄	semidirect
60. C₂²×#2883	D₄	semidirect
61. #7642245	D₄	semidirect
62. #7642244	D₄	semidirect
65. #7626243	D₄	semidirect
66. C₂×#23895	D₄	semidirect
67. #6437621	D₄	semidirect
68. C₂×#23900	D₄	semidirect
69. C₂×#21776	D₄	semidirect
70. C₂²×#1913	D₄	semidirect
73. #612424	D₄	semidirect
75. C₂×#12705	D₄	semidirect
81. #382434	D₄	semidirect
82. #359552	D₄	semidirect
83. #359549	D₄	semidirect
84. #359442	D₄	semidirect
85. #359428	D₄	semidirect
86. C₂×#10965	D₄	semidirect
87. #154195	D₄	semidirect
92. C₂³×H(5,𝔽₂)	C₂×D₄	semidirect
115. C₂²×#518	C₂×D₄	semidirect
116. C₂⁴×C₂²⋊C₄	C₂×D₄	semidirect
117. C₂³×#99	C₂×D₄	semidirect
124. C₂²×#379	C₂×D₄	semidirect
125. C₂²×#379	C₂×D₄	semidirect
126. C₂×#1783	C₂×D₄	semidirect
132. C₂×#1781	C₂×D₄	semidirect
134. C₂⁷	#120	semidirect
140. C₂²×H(5,𝔽₂)	#120	semidirect
156. C₂⁵×C₄	#120	semidirect
169. C₂×#518	#120	semidirect
170. C₂×#518	#120	semidirect
171. C₂×#518	#120	semidirect
175. C₂³×C₂²⋊C₄	#120	semidirect
176. C₂³×C₂²⋊C₄	#120	semidirect
177. C₂²×#99	#120	semidirect
178. C₂×#379	#120	semidirect
258. C₂⁴	#10336	semidirect
279. C₂²×C₄	#10336	semidirect

Maximal subgroups

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

subgroup	index
#72266379	2
#72266377	2
#72266374	2
#72266373	2
#72266372	2
#72259009	2
#72258401	2
#72258218	2
#72258111	2
#72258080	2
#72240420	2
#72236528	2
#72235165	2
#72234718	2
#72226367	2