Subgroups — #72249481

Order 2048.

At least 6438 conjugacy classes of subgroups; only the 582 normal subgroups are shown.

The subgroup lattice has 329 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72249473	C₂	1	2	yes	maximal, complemented
2	#72249471	C₂	1	1	yes	maximal, characteristic, complemented
3	#72249463	C₂	1	2	yes	maximal, complemented
4	#72249460	C₂	1	2	yes	maximal, complemented
5	#72249458	C₂	1	2	yes	maximal, complemented
6	#72249449	C₂	1	2	yes	maximal, complemented
7	#72249447	C₂	1	1	yes	maximal, characteristic
8	#72249441	C₂	1	1	yes	maximal, characteristic, complemented
9	#72249439	C₂	1	2	yes	maximal, complemented
10	#72228242	C₂	1	1	yes	maximal, characteristic, complemented
11	#72228242	C₂	1	2	yes	maximal, complemented
12	#72228238	C₂	1	2	yes	maximal, complemented
13	#72228238	C₂	1	2	yes	maximal, complemented
14	#72228238	C₂	1	2	yes	maximal, complemented
15	#72228238	C₂	1	1	yes	maximal, characteristic, complemented
16	#72228238	C₂	1	2	yes	maximal, complemented
17	#72228237	C₂	1	1	yes	maximal, characteristic, complemented
18	#72228236	C₂	1	1	yes	maximal, characteristic, complemented
19	#72228233	C₂	1	2	yes	maximal
20	#10586796	C₂²	1	1	yes	characteristic
21	#6508692	C₂²	1	2	yes	—
22	#6508692	C₂²	1	2	yes	—
23	#6499868	C₂²	1	1	yes	characteristic
24	#6499868	C₂²	1	1	yes	characteristic
25	#5021144	C₂²	1	1	yes	characteristic
26	#5020757	C₂²	1	2	yes	complemented
27	#5020756	C₂²	1	1	yes	characteristic, complemented
28	#5020755	C₂²	1	1	yes	characteristic, complemented
29	#238078	C₂²	1	2	yes	complemented
30	#238078	C₂²	1	2	yes	complemented
31	#238078	C₂²	1	2	yes	complemented
32	#238078	C₂²	1	1	yes	characteristic, complemented
33	#238078	C₂²	1	2	yes	complemented
34	#238078	C₂²	1	2	yes	complemented
35	#238078	C₂²	1	2	yes	complemented
36	#238078	C₂²	1	2	yes	complemented
37	#238078	C₂²	1	1	yes	characteristic, complemented
38	#238078	C₂²	1	2	yes	complemented
39	#238077	C₂²	1	2	yes	complemented
40	#238077	C₂²	1	1	yes	characteristic, complemented
41	#238077	C₂²	1	2	yes	complemented
42	#238077	C₂²	1	1	yes	characteristic, complemented
43	#188062	C₂²	1	2	yes	—
44	#188062	C₂²	1	2	yes	—
45	#188062	C₂²	1	1	yes	characteristic
46	#187949	C₂²	1	2	yes	—
47	#187949	C₂²	1	1	yes	characteristic
48	#187949	C₂²	1	2	yes	—
49	#187949	C₂²	1	1	yes	characteristic
50	#187949	C₂²	1	2	yes	—
51	#187949	C₂²	1	2	yes	—
52	#187949	C₂²	1	2	yes	—
53	#187949	C₂²	1	2	yes	—
54	#187949	C₂²	1	2	yes	—
55	#187949	C₂²	1	2	yes	—
56	#187949	C₂²	1	2	yes	—
57	#187949	C₂²	1	2	yes	—
58	#187949	C₂²	1	2	yes	—
59	#187949	C₂²	1	2	yes	—
60	#187949	C₂²	1	2	yes	—
61	#187949	C₂²	1	2	yes	—
62	#119556	C₂²	1	2	yes	complemented
63	#119556	C₂²	1	2	yes	complemented
64	#119556	C₂²	1	2	yes	complemented
65	#119556	C₂²	1	2	yes	complemented
66	#119556	C₂²	1	2	yes	complemented
67	#119556	C₂²	1	2	yes	complemented
68	#119556	C₂²	1	2	yes	complemented
69	#119556	C₂²	1	2	yes	complemented
70	#119556	C₂²	1	2	yes	complemented
71	#119556	C₂²	1	2	yes	complemented
72	#119556	C₂²	1	2	yes	complemented
73	#119556	C₂²	1	2	yes	complemented
74	#119556	C₂²	1	2	yes	complemented
75	#119556	C₂²	1	2	yes	complemented
76	#119556	C₂²	1	2	yes	complemented
77	#119556	C₂²	1	2	yes	complemented
78	#119556	C₂²	1	2	yes	complemented
79	#119556	C₂²	1	2	yes	complemented
80	#115692	C₂²	1	2	yes	complemented
81	#115692	C₂²	1	2	yes	complemented
82	#115692	C₂²	1	1	yes	characteristic, complemented
83	#115692	C₂²	1	2	yes	complemented
84	#115692	C₂²	1	1	yes	characteristic, complemented
85	#115691	C₂²	1	2	yes	complemented
86	#115691	C₂²	1	2	yes	complemented
87	#115691	C₂²	1	2	yes	complemented
88	#115691	C₂²	1	2	yes	complemented
89	#115691	C₂²	1	2	yes	complemented
90	#115691	C₂²	1	2	yes	complemented
91	#115691	C₂²	1	2	yes	complemented
92	#115691	C₂²	1	2	yes	complemented
93	#110180	C₂²	1	2	yes	complemented
94	#110180	C₂²	1	2	yes	complemented
95	#110180	C₂²	1	1	yes	characteristic, complemented
96	#110180	C₂²	1	1	yes	characteristic, complemented
97	#110180	C₂²	1	2	yes	complemented
98	#110180	C₂²	1	2	yes	complemented
99	#110180	C₂²	1	2	yes	complemented
100	#110180	C₂²	1	2	yes	complemented
101	#110180	C₂²	1	2	yes	complemented
102	#110180	C₂²	1	2	yes	complemented
103	#110180	C₂²	1	1	yes	characteristic, complemented
104	#110180	C₂²	1	1	yes	characteristic, complemented
105	#110180	C₂²	1	2	yes	complemented
106	#110180	C₂²	1	2	yes	complemented
107	#62817	C₂³	1	1	yes	characteristic
108	#62817	C₂³	1	1	yes	characteristic
109	#62817	C₂³	1	2	yes	—
110	#62817	C₂³	1	2	yes	—
111	C₂²×H(3,𝔽₄)	C₂³	1	1	yes	characteristic
112	C₂×#2842	C₂³	1	1	yes	characteristic, complemented
113	C₂×#2842	C₂³	1	2	yes	complemented
114	C₂×#2840	C₂³	1	1	yes	characteristic, complemented
115	C₂×#2849	C₂³	1	1	yes	characteristic
116	C₂×#2849	C₂³	1	1	yes	characteristic
117	C₂×#2849	C₂³	1	2	yes	—
118	C₂×#2849	C₂³	1	1	yes	characteristic
119	C₂×#2849	C₂³	1	2	yes	—
120	#21746	C₂³	1	1	yes	characteristic
121	#21746	C₂³	1	1	yes	characteristic
122	#21746	C₂³	1	2	yes	—
123	#21746	C₂³	1	2	yes	—
124	#21746	C₂³	1	2	yes	—
125	#21746	C₂³	1	2	yes	—
126	#21746	C₂³	1	2	yes	—
127	#21746	C₂³	1	2	yes	—
128	#21746	C₂³	1	2	yes	—
129	#21746	C₂³	1	2	yes	—
130	#21746	C₂³	1	2	yes	—
131	#21746	C₂³	1	2	yes	—
132	#21746	C₂³	1	2	yes	—
133	#21746	C₂³	1	2	yes	—
134	#21746	C₂³	1	2	yes	—
135	#21746	C₂³	1	2	yes	—
136	#21746	C₂³	1	2	yes	—
137	#21746	C₂³	1	2	yes	—
138	#21746	C₂³	1	2	yes	—
139	#21746	C₂³	1	2	yes	—
140	#21746	C₂³	1	2	yes	—
141	#21746	C₂³	1	2	yes	—
142	#21746	C₂³	1	2	yes	—
143	#21746	C₂³	1	2	yes	—
144	#21746	C₂³	1	2	yes	—
145	#21746	C₂³	1	2	yes	—
146	#21746	C₂³	1	2	yes	—
147	#21746	C₂³	1	2	yes	—
148	#21746	C₂³	1	2	yes	—
149	#21746	C₂³	1	2	yes	—
150	#21746	C₂³	1	2	yes	—
151	#21746	C₂³	1	1	yes	characteristic
152	#21746	C₂³	1	1	yes	characteristic
153	#21746	C₂³	1	2	yes	—
154	#21746	C₂³	1	2	yes	—
155	#14681	C₂³	1	2	yes	complemented
156	#14681	C₂³	1	2	yes	complemented
157	#14681	C₂³	1	2	yes	complemented
158	#14681	C₂³	1	2	yes	complemented
159	#14657	C₂³	1	1	yes	characteristic
160	#14657	C₂³	1	2	yes	—
161	#14657	C₂³	1	2	yes	—
162	#14657	C₂³	1	2	yes	—
163	#14657	C₂³	1	2	yes	—
164	#14657	C₂³	1	2	yes	—
165	#13827	C₂³	1	1	yes	characteristic, complemented
166	#13827	C₂³	1	1	yes	characteristic, complemented
167	#13827	C₂³	1	2	yes	complemented
168	#8544	D₄	1	4	yes	—
169	#8544	D₄	1	2	yes	—
170	#8541	D₄	1	2	yes	—
171	#8101	C₂³	1	2	yes	complemented
172	#8101	C₂³	1	2	yes	complemented
173	#8101	C₂³	1	2	yes	complemented
174	#8101	C₂³	1	2	yes	complemented
175	#8101	C₂³	1	2	yes	complemented
176	#8101	C₂³	1	1	yes	characteristic, complemented
177	#8101	C₂³	1	1	yes	characteristic, complemented
178	#8101	C₂³	1	2	yes	complemented
179	#8101	C₂³	1	2	yes	complemented
180	#8101	C₂³	1	2	yes	complemented
181	#8101	C₂³	1	2	yes	complemented
182	#8101	C₂³	1	2	yes	complemented
183	#8101	C₂³	1	2	yes	complemented
184	#8101	C₂³	1	2	yes	complemented
185	#8101	C₂³	1	2	yes	complemented
186	#8101	C₂³	1	2	yes	complemented
187	#8101	C₂³	1	2	yes	complemented
188	#8101	C₂³	1	2	yes	complemented
189	#8101	C₂³	1	2	yes	complemented
190	#8101	C₂³	1	2	yes	complemented
191	#8101	C₂³	1	2	yes	complemented
192	#8101	C₂³	1	2	yes	complemented
193	#8101	C₂³	1	2	yes	complemented
194	#8101	C₂³	1	1	yes	characteristic, complemented
195	#8101	C₂³	1	2	yes	complemented
196	#8101	C₂³	1	1	yes	characteristic, complemented
197	C₂⁵×C₄	C₂⁴	1	1	yes	characteristic
198	C₂²×#124	C₂×D₄	1	1	yes	characteristic
199	C₂²×#124	C₂×D₄	1	2	yes	—
200	C₂²×#124	#41	1	2	yes	—
201	C₂²×#124	#41	1	2	yes	—
202	C₂²×#124	#41	1	2	yes	—
203	C₂²×#120	C₂×D₄	1	1	yes	characteristic
204	C₂²×#120	#41	1	2	yes	—
205	C₂²×#120	C₂⁴	1	1	yes	characteristic
206	C₂²×#120	C₂⁴	1	2	yes	—
207	C₂²×#120	C₂⁴	1	1	yes	characteristic
208	C₂²×#120	C₂⁴	1	1	yes	characteristic
209	C₂²×#120	C₂⁴	1	2	yes	—
210	C₂×#379	C₂⁴	1	2	yes	—
211	C₂×#379	C₂⁴	1	2	yes	—
212	C₂×#379	C₂⁴	1	2	yes	—
213	C₂×#379	C₂⁴	1	2	yes	—
214	C₂×#379	C₂⁴	1	1	yes	characteristic
215	C₂×#379	C₂⁴	1	2	yes	—
216	C₂×#379	C₂⁴	1	2	yes	—
217	C₂×#379	C₂⁴	1	2	yes	—
218	C₂×#379	C₂⁴	1	2	yes	—
219	C₂×#379	C₂⁴	1	2	yes	—
220	C₂×#379	C₂⁴	1	1	yes	characteristic
221	C₂×#379	C₂⁴	1	2	yes	—
222	C₂×#379	C₂⁴	1	1	yes	characteristic
223	#1819	C₂×D₄	1	4	yes	—
224	#1819	C₂×D₄	1	4	yes	—
225	#1819	C₂×D₄	1	2	yes	—
226	#1819	C₂×D₄	1	2	yes	—
227	#1781	C₂×D₄	1	2	yes	—
228	#1781	C₂×D₄	1	2	yes	—
229	#1781	C₂×D₄	1	4	yes	—
230	#1781	C₂×D₄	1	4	yes	—
231	C₂⁶	#124	1	1	yes	characteristic
232	C₂⁶	C₂⁵	1	1	yes	characteristic
233	C₂³×Q₈	#124	1	1	yes	characteristic
234	C₂³×Q₈	#124	1	2	yes	—
235	C₂³×D₄	C₂²×D₄	1	1	yes	characteristic
236	C₂³×D₄	C₂²×D₄	1	2	yes	—
237	C₂³×D₄	C₂×#41	1	2	yes	—
238	C₂³×D₄	C₂×#41	1	2	yes	—
239	C₂³×D₄	C₂×#41	1	2	yes	—
240	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
241	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
242	C₂³×D₄	H(5,𝔽₂)	1	1	yes	characteristic
243	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
244	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
245	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
246	C₂³×D₄	H(5,𝔽₂)	1	2	yes	—
247	C₂²×C₂²⋊C₄	#124	1	2	yes	—
248	C₂²×C₂²⋊C₄	#124	1	1	yes	characteristic
249	C₂²×C₂²⋊C₄	#124	1	2	yes	—
250	C₂²×C₂²⋊C₄	#124	1	2	yes	—
251	C₂²×C₂²⋊C₄	#124	1	2	yes	—
252	C₂²×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
253	C₂²×C₂²⋊C₄	C₂²×D₄	1	2	yes	—
254	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
255	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
256	C₂²×C₂²⋊C₄	C₂×#41	1	2	yes	—
257	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
258	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
259	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
260	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
261	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
262	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
263	C₂²×C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
264	C₂²×C₄²	#124	1	2	yes	—
265	C₂²×C₄²	#124	1	1	yes	characteristic
266	#379	C₂²×D₄	1	2	yes	—
267	#379	C₂²×D₄	1	4	yes	—
268	#379	C₂²×D₄	1	2	yes	—
269	C₂⁵	C₂×#124	1	1	yes	characteristic
270	C₂⁵	C₂×#124	1	2	yes	—
271	C₂⁵	H(3,𝔽₄)	1	1	yes	characteristic
272	C₂⁵	H(3,𝔽₄)	1	1	yes	characteristic
273	C₂⁵	H(3,𝔽₄)	1	2	yes	—
274	C₂⁵	C₂³×D₄	1	1	yes	characteristic
275	C₂⁵	C₂²×#41	1	2	yes	—
276	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
277	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
278	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
279	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
280	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
281	C₂⁵	C₂×H(5,𝔽₂)	1	2	yes	—
282	C₂⁵	C₂×H(5,𝔽₂)	1	1	yes	characteristic
283	C₂³×C₄	C₂×#124	1	2	yes	—
284	C₂³×C₄	C₂×#124	1	2	yes	—
285	C₂³×C₄	C₂×#124	1	2	yes	—
286	C₂³×C₄	C₂×#124	1	1	yes	characteristic
287	C₂³×C₄	C₂×#124	1	2	yes	—
288	C₂³×C₄	H(3,𝔽₄)	1	2	yes	—
289	C₂³×C₄	H(3,𝔽₄)	1	1	yes	characteristic
290	C₂³×C₄	H(3,𝔽₄)	1	1	yes	characteristic
291	C₂³×C₄	H(3,𝔽₄)	1	2	yes	—
292	C₂³×C₄	H(3,𝔽₄)	1	2	yes	—
293	C₂³×C₄	H(3,𝔽₄)	1	2	yes	—
294	C₂³×C₄	H(3,𝔽₄)	1	2	yes	—
295	C₂⁴	C₂²×#124	1	1	yes	characteristic
296	C₂⁴	#3484	1	1	yes	characteristic
297	C₂⁴	#3484	1	1	yes	characteristic
298	C₂⁴	#3484	1	2	yes	—
299	C₂⁴	#3484	1	2	yes	—
300	C₂⁴	#3490	1	2	yes	—
301	C₂⁴	#3490	1	2	yes	—
302	C₂⁴	#3490	1	2	yes	—
303	C₂⁴	#3490	1	2	yes	—
304	C₂⁴	#3490	1	2	yes	—
305	C₂⁴	#3490	1	2	yes	—
306	C₂⁴	C₂×H(3,𝔽₄)	1	1	yes	characteristic
307	C₂⁴	C₂×H(3,𝔽₄)	1	2	yes	—
308	C₂⁴	C₂×H(3,𝔽₄)	1	1	yes	characteristic
309	C₂⁴	#3532	1	2	yes	—
310	C₂⁴	#3532	1	2	yes	—
311	C₂⁴	#3532	1	2	yes	—
312	C₂⁴	#3532	1	2	yes	—
313	C₂⁴	#3532	1	1	yes	characteristic
314	C₂⁴	#3532	1	2	yes	—
315	C₂⁴	#3532	1	1	yes	characteristic
316	C₂³	#35367	1	1	yes	characteristic
317	C₂³	#35367	1	2	yes	—
318	C₂³	#45439	1	1	yes	characteristic
319	C₂³	#45439	1	2	yes	—
320	C₂³	#45439	1	1	yes	characteristic
321	C₂³	#45458	1	2	yes	—
322	C₂³	#45458	1	2	yes	—
323	C₂³	#45458	1	2	yes	—
324	C₂³	#45458	1	2	yes	—
325	C₂²	#5020751	1	1	yes	characteristic
326	C₂	#72210026	1	1	yes	characteristic
327	C₂	#72210037	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	#5020751
commutator, Frattini, cosocle	C₂⁶	C₂⁵
prime radical	#10586796	C₂²
LCS	G ▷ C₂⁶ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁶ ◁ G
LECS	G ▷ C₂⁶ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72249473	C₂	semidirect
2. #72249471	C₂	semidirect
3. #72249463	C₂	semidirect
4. #72249460	C₂	semidirect
5. #72249458	C₂	semidirect
6. #72249449	C₂	semidirect
8. #72249441	C₂	semidirect
9. #72249439	C₂	semidirect
10. #72228242	C₂	semidirect
11. #72228242	C₂	semidirect
12. #72228238	C₂	semidirect
13. #72228238	C₂	semidirect
14. #72228238	C₂	semidirect
15. #72228238	C₂	semidirect
16. #72228238	C₂	semidirect
17. #72228237	C₂	semidirect
18. #72228236	C₂	semidirect
26. #5020757	C₂²	semidirect
27. #5020756	C₂²	semidirect
28. #5020755	C₂²	semidirect
29. #238078	C₂²	semidirect
30. #238078	C₂²	semidirect
31. #238078	C₂²	semidirect
32. #238078	C₂²	semidirect
33. #238078	C₂²	semidirect
34. #238078	C₂²	semidirect
35. #238078	C₂²	semidirect
36. #238078	C₂²	semidirect
37. #238078	C₂²	semidirect
38. #238078	C₂²	semidirect
39. #238077	C₂²	semidirect
40. #238077	C₂²	semidirect
41. #238077	C₂²	semidirect
42. #238077	C₂²	semidirect
62. #119556	C₂²	semidirect
63. #119556	C₂²	semidirect
64. #119556	C₂²	semidirect
65. #119556	C₂²	semidirect
66. #119556	C₂²	semidirect
67. #119556	C₂²	semidirect
68. #119556	C₂²	semidirect
69. #119556	C₂²	semidirect
70. #119556	C₂²	semidirect
71. #119556	C₂²	semidirect
72. #119556	C₂²	semidirect
73. #119556	C₂²	semidirect
74. #119556	C₂²	semidirect
75. #119556	C₂²	semidirect
76. #119556	C₂²	semidirect
77. #119556	C₂²	semidirect
78. #119556	C₂²	semidirect
79. #119556	C₂²	semidirect
80. #115692	C₂²	semidirect
81. #115692	C₂²	semidirect
82. #115692	C₂²	semidirect
83. #115692	C₂²	semidirect
84. #115692	C₂²	semidirect
85. #115691	C₂²	semidirect
86. #115691	C₂²	semidirect
87. #115691	C₂²	semidirect
88. #115691	C₂²	semidirect
89. #115691	C₂²	semidirect
90. #115691	C₂²	semidirect
91. #115691	C₂²	semidirect
92. #115691	C₂²	semidirect
93. #110180	C₂²	semidirect
94. #110180	C₂²	semidirect
95. #110180	C₂²	semidirect
96. #110180	C₂²	semidirect
97. #110180	C₂²	semidirect
98. #110180	C₂²	semidirect
99. #110180	C₂²	semidirect
100. #110180	C₂²	semidirect
101. #110180	C₂²	semidirect
102. #110180	C₂²	semidirect
103. #110180	C₂²	semidirect
104. #110180	C₂²	semidirect
105. #110180	C₂²	semidirect
106. #110180	C₂²	semidirect
112. C₂×#2842	C₂³	semidirect
113. C₂×#2842	C₂³	semidirect
114. C₂×#2840	C₂³	semidirect
155. #14681	C₂³	semidirect
156. #14681	C₂³	semidirect
157. #14681	C₂³	semidirect
158. #14681	C₂³	semidirect
165. #13827	C₂³	semidirect
166. #13827	C₂³	semidirect
167. #13827	C₂³	semidirect
171. #8101	C₂³	semidirect
172. #8101	C₂³	semidirect
173. #8101	C₂³	semidirect
174. #8101	C₂³	semidirect
175. #8101	C₂³	semidirect
176. #8101	C₂³	semidirect
177. #8101	C₂³	semidirect
178. #8101	C₂³	semidirect
179. #8101	C₂³	semidirect
180. #8101	C₂³	semidirect
181. #8101	C₂³	semidirect
182. #8101	C₂³	semidirect
183. #8101	C₂³	semidirect
184. #8101	C₂³	semidirect
185. #8101	C₂³	semidirect
186. #8101	C₂³	semidirect
187. #8101	C₂³	semidirect
188. #8101	C₂³	semidirect
189. #8101	C₂³	semidirect
190. #8101	C₂³	semidirect
191. #8101	C₂³	semidirect
192. #8101	C₂³	semidirect
193. #8101	C₂³	semidirect
194. #8101	C₂³	semidirect
195. #8101	C₂³	semidirect
196. #8101	C₂³	semidirect

Maximal subgroups

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

subgroup	index
#72249473	2
#72249471	2
#72249463	2
#72249460	2
#72249458	2
#72249449	2
#72249447	2
#72249441	2
#72249439	2
#72228242	2
#72228238	2
#72228237	2
#72228236	2
#72228233	2