Subgroups — #72262433

Order 4096.

At least 20587 conjugacy classes of subgroups; only the 379 normal subgroups are shown.

The subgroup lattice has 327 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72262408	C₂	1	1	yes	maximal, characteristic, complemented
2	#72262390	C₂	1	1	yes	maximal, characteristic, complemented
3	#72262369	C₂	1	1	yes	maximal, characteristic, complemented
4	#72262369	C₂	1	1	yes	maximal, characteristic, complemented
5	#72262345	C₂	1	1	yes	maximal, characteristic, complemented
6	#72262333	C₂	1	1	yes	maximal, characteristic, complemented
7	#72262254	C₂	1	1	yes	maximal, characteristic, complemented
8	#72256392	C₂	1	1	yes	maximal, characteristic, complemented
9	#72251582	C₂	1	1	yes	maximal, characteristic, complemented
10	#72251581	C₂²	1	1	yes	characteristic, complemented
11	#72251577	C₂²	1	1	yes	characteristic, complemented
12	#72251570	C₂²	1	1	yes	characteristic
13	#72251569	C₂²	1	1	yes	characteristic
14	#72249438	C₂	1	1	yes	maximal, characteristic
15	#72249434	C₂²	1	1	yes	characteristic
16	#72249407	C₄	1	2	yes	complemented
17	#72249397	C₄	1	2	yes	complemented
18	#72249377	C₄	1	2	yes	complemented
19	#72237013	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#213906	C₂²	1	1	yes	characteristic
21	#72236923	C₂	1	1	yes	maximal, characteristic, complemented
22	#72236921	C₂	1	1	yes	maximal, characteristic, complemented
23	#72236901	C₂²	1	1	yes	characteristic, complemented
24	#72236901	C₂²	1	1	yes	characteristic, complemented
25	#72236898	C₂²	1	1	yes	characteristic
26	#72236898	C₂²	1	1	yes	characteristic
27	#72236875	C₂²	1	1	yes	characteristic, complemented
28	#72236875	C₂²	1	1	yes	characteristic, complemented
29	#72236837	C₂²	1	1	yes	characteristic
30	#72236837	C₂²	1	1	yes	characteristic
31	#72236816	C₂²	1	1	yes	characteristic, complemented
32	#72236814	C₂²	1	1	yes	characteristic, complemented
33	#72236754	C₂²	1	1	yes	characteristic, complemented
34	#72235948	C₂	1	1	yes	maximal, characteristic, complemented
35	#72235933	C₂²	1	1	yes	characteristic, complemented
36	#72235932	C₂²	1	1	yes	characteristic
37	#72235909	C₂	1	1	yes	maximal, characteristic, complemented
38	#72235881	C₂²	1	1	yes	characteristic, complemented
39	#72235865	C₂²	1	1	yes	characteristic, complemented
40	#72235865	C₂²	1	1	yes	characteristic, complemented
41	#72235854	C₂²	1	1	yes	characteristic, complemented
42	#72235848	C₂²	1	1	yes	characteristic
43	#72231822	C₂²	1	1	yes	characteristic, complemented
44	#72231810	C₂²	1	1	yes	characteristic
45	#72226038	C₂²	1	1	yes	characteristic
46	#72226038	C₂²	1	1	yes	characteristic
47	#72225873	C₂²	1	1	yes	characteristic, complemented
48	#72225733	C₂²	1	1	yes	characteristic
49	#72219532	C₄	1	2	yes	complemented
50	#72219034	C₂²	1	1	yes	characteristic
51	#72219034	C₂²	1	1	yes	characteristic
52	#72219034	C₂²	1	1	yes	characteristic
53	#72219034	C₂²	1	1	yes	characteristic
54	C₂×#245225	C₂²	1	1	yes	characteristic
55	C₂×#62652	D₄	1	1	yes	characteristic, complemented
56	#8934496	C₂×C₄	1	1	yes	characteristic, complemented
57	#8934400	C₂×C₄	1	1	yes	characteristic, complemented
58	#8934400	C₂×C₄	1	1	yes	characteristic, complemented
59	#8934377	C₂×C₄	1	1	yes	characteristic, complemented
60	#7642273	C₂³	1	1	yes	characteristic
61	#7642273	C₂³	1	1	yes	characteristic
62	C₂×#35346	C₂³	1	1	yes	characteristic
63	C₂×#35346	C₂³	1	1	yes	characteristic
64	C₂×#32898	D₄	1	1	yes	characteristic
65	C₂×#32898	D₄	1	1	yes	characteristic
66	C₂×#20585	D₄	1	1	yes	characteristic, complemented
67	#555894	C₂³	1	1	yes	characteristic
68	#515285	C₂³	1	1	yes	characteristic
69	#515285	C₂³	1	1	yes	characteristic
70	#417896	C₂×C₄	1	2	yes	complemented
71	#417824	C₂×C₄	1	2	yes	complemented
72	#382422	C₂³	1	1	yes	characteristic
73	#382422	C₂³	1	1	yes	characteristic
74	#379754	D₄	1	1	yes	characteristic, complemented
75	#379754	D₄	1	1	yes	characteristic, complemented
76	#353314	D₄	1	1	yes	characteristic, complemented
77	#353314	D₄	1	1	yes	characteristic, complemented
78	#249331	C₂×C₄	1	2	yes	complemented
79	#249319	C₂×C₄	1	2	yes	complemented
80	#245225	C₂×C₄	1	2	yes	—
81	#245225	C₂×C₄	1	2	yes	—
82	#245225	D₄	1	2	yes	—
83	#245225	D₄	1	2	yes	—
84	C₂×#9497	D₄	1	1	yes	characteristic, complemented
85	C₂×#9497	D₄	1	1	yes	characteristic, complemented
86	C₂×#9495	D₄	1	1	yes	characteristic
87	C₂×#9495	D₄	1	1	yes	characteristic
88	C₂×#8547	C₂³	1	1	yes	characteristic
89	C₂×#8547	C₂³	1	1	yes	characteristic
90	C₂×#8547	C₂³	1	1	yes	characteristic
91	C₂×#8547	C₂³	1	1	yes	characteristic
92	C₂×#8541	C₂³	1	1	yes	characteristic
93	C₂×#8541	C₂³	1	1	yes	characteristic
94	#185255	D₄	1	2	yes	complemented
95	#185255	D₄	1	2	yes	complemented
96	#134025	C₂×C₄	1	2	yes	complemented
97	#133970	C₂×C₄	1	2	yes	complemented
98	#133291	C₂×C₄	1	2	yes	complemented
99	#133290	C₂×C₄	1	2	yes	complemented
100	#133278	C₂×C₄	1	2	yes	complemented
101	#133278	C₂×C₄	1	2	yes	complemented
102	#106326	D₄	1	2	yes	complemented
103	#106326	D₄	1	2	yes	complemented
104	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
105	C₂³×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
106	C₂×#3490	C₂×D₄	1	1	yes	characteristic
107	C₂×#3490	C₂×D₄	1	1	yes	characteristic
108	C₂³×#120	C₂⁴	1	1	yes	characteristic
109	C₂²×#518	C₂×D₄	1	1	yes	characteristic
110	C₂²×#518	C₂×D₄	1	1	yes	characteristic
111	#35390	C₂²×C₄	1	1	yes	characteristic
112	#35390	C₂²×C₄	1	1	yes	characteristic
113	#35390	#41	1	1	yes	characteristic
114	#35390	#41	1	1	yes	characteristic
115	#35367	C₂²×C₄	1	1	yes	characteristic
116	#35367	C₂²×C₄	1	1	yes	characteristic
117	#35367	#41	1	1	yes	characteristic
118	#35367	#41	1	1	yes	characteristic
119	#35346	C₂²×C₄	1	2	yes	—
120	#35346	C₂²×C₄	1	1	yes	characteristic
121	#35346	C₂²×C₄	1	1	yes	characteristic
122	#35346	C₂×D₄	1	2	yes	—
123	#35346	C₂×D₄	1	1	yes	characteristic
124	#35346	C₂×D₄	1	1	yes	characteristic
125	#35346	#41	1	1	yes	characteristic
126	#35346	#41	1	1	yes	characteristic
127	#35346	#41	1	1	yes	characteristic
128	#35346	#41	1	1	yes	characteristic
129	C₂×#2403	C₂×D₄	1	1	yes	characteristic
130	C₂×#2403	C₂×D₄	1	1	yes	characteristic
131	C₂×#2403	C₂×D₄	1	1	yes	characteristic
132	C₂×#2403	C₂×D₄	1	1	yes	characteristic
133	#34176	C₂×D₄	1	1	yes	characteristic
134	#34176	C₂×D₄	1	1	yes	characteristic
135	C₂×#2309	C₂×D₄	1	1	yes	characteristic
136	C₂×#2308	C₂×D₄	1	1	yes	characteristic
137	C₂×#2308	C₂×D₄	1	1	yes	characteristic
138	C₂×#2308	C₂×D₄	1	1	yes	characteristic
139	C₂×#2308	C₂×D₄	1	1	yes	characteristic
140	C₂×#2308	C₂×D₄	1	1	yes	characteristic
141	#32898	C₂²⋊C₄	1	2	yes	—
142	#32898	C₂²⋊C₄	1	2	yes	—
143	#32898	C₂²⋊C₄	1	2	yes	—
144	#32898	C₂²⋊C₄	1	2	yes	—
145	C₂×#1781	C₂×D₄	1	1	yes	characteristic
146	C₂×#1781	C₂×D₄	1	1	yes	characteristic
147	C₂×#1781	C₂×D₄	1	1	yes	characteristic
148	C₂×#1781	C₂×D₄	1	1	yes	characteristic
149	C₂×#1462	C₂×D₄	1	2	yes	—
150	C₂×#1462	C₂×D₄	1	2	yes	—
151	#13868	C₂×D₄	1	2	yes	—
152	#13868	C₂×D₄	1	2	yes	—
153	#10965	C₂²×C₄	1	2	yes	—
154	#9495	C₂²⋊C₄	1	2	yes	—
155	#9495	C₂²⋊C₄	1	2	yes	—
156	#9495	C₂²⋊C₄	1	2	yes	—
157	#9495	C₂²⋊C₄	1	2	yes	—
158	#8547	C₂²×C₄	1	2	yes	—
159	#8541	C₂²×C₄	1	2	yes	—
160	#8541	C₂×D₄	1	2	yes	—
161	C₂⁷	H(5,𝔽₂)	1	1	yes	characteristic
162	C₂²×H(5,𝔽₂)	C₂×C₂²⋊C₄	1	2	yes	—
163	C₂²×H(5,𝔽₂)	C₄×D₄	1	1	yes	characteristic
164	C₂²×H(5,𝔽₂)	C₄×D₄	1	1	yes	characteristic
165	C₂²×H(5,𝔽₂)	#121	1	1	yes	characteristic
166	C₂²×H(5,𝔽₂)	#121	1	1	yes	characteristic
167	C₂⁴×D₄	#120	1	1	yes	characteristic
168	C₂⁴×D₄	#120	1	1	yes	characteristic
169	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
170	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
171	C₂⁴×D₄	C₂²×D₄	1	1	yes	characteristic
172	C₂×#543	C₄×D₄	1	1	yes	characteristic, complemented
173	C₂×#543	C₄×D₄	1	1	yes	characteristic, complemented
174	C₂×#534	C₄×D₄	1	1	yes	characteristic, complemented
175	C₂×#534	C₄×D₄	1	1	yes	characteristic, complemented
176	C₂²×#120	C₂³×C₄	1	1	yes	characteristic
177	C₂²×#120	C₂²×D₄	1	1	yes	characteristic
178	C₂²×#120	C₂×#41	1	1	yes	characteristic
179	C₂²×#120	C₂×#41	1	1	yes	characteristic
180	C₂²×#120	C₂×#41	1	1	yes	characteristic
181	C₂²×#120	C₂×#41	1	1	yes	characteristic
182	C₂²×#120	H(5,𝔽₂)	1	1	yes	characteristic
183	C₂²×#120	H(5,𝔽₂)	1	1	yes	characteristic
184	C₂²×#117	#120	1	2	yes	—
185	C₂³×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
186	C₂³×C₂²⋊C₄	C₂²×D₄	1	1	yes	characteristic
187	C₂³×C₂²⋊C₄	H(5,𝔽₂)	1	1	yes	characteristic
188	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
189	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
190	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
191	#2403	C₂×C₂²⋊C₄	1	1	yes	characteristic
192	#2403	C₄×D₄	1	1	yes	characteristic
193	#2403	C₄×D₄	1	1	yes	characteristic
194	#2403	C₄×D₄	1	1	yes	characteristic
195	#2403	C₄×D₄	1	1	yes	characteristic
196	#2403	#121	1	1	yes	characteristic
197	#2403	#121	1	1	yes	characteristic
198	#2403	#121	1	1	yes	characteristic
199	#2403	#121	1	1	yes	characteristic
200	#2403	#123	1	1	yes	characteristic
201	#2403	#123	1	1	yes	characteristic
202	#2403	#123	1	1	yes	characteristic
203	#2403	#123	1	1	yes	characteristic
204	#2308	C₂×C₂²⋊C₄	1	2	yes	—
205	#2308	C₄×D₄	1	1	yes	characteristic
206	#2308	C₄×D₄	1	1	yes	characteristic
207	#2308	#121	1	1	yes	characteristic
208	#2308	#121	1	1	yes	characteristic
209	C₂×#381	#120	1	2	yes	—
210	C₂×#379	#120	1	1	yes	characteristic
211	C₂×#379	#120	1	1	yes	characteristic
212	#2273	C₄×D₄	1	1	yes	characteristic, complemented
213	#2273	C₄×D₄	1	1	yes	characteristic, complemented
214	#2273	C₄×D₄	1	1	yes	characteristic, complemented
215	#2273	C₄×D₄	1	1	yes	characteristic, complemented
216	#1781	C₂×C₂²⋊C₄	1	2	yes	—
217	#1781	C₂×C₂²⋊C₄	1	2	yes	—
218	C₂⁶	B(4,𝔽₂)	1	1	yes	characteristic
219	C₂⁶	B(4,𝔽₂)	1	1	yes	characteristic
220	C₂⁶	#518	1	1	yes	characteristic
221	C₂⁶	C₂×#120	1	1	yes	characteristic
222	C₂⁶	#534	1	1	yes	characteristic
223	C₂⁶	#538	1	1	yes	characteristic
224	C₂⁶	D₄²	1	1	yes	characteristic
225	C₂⁶	D₄²	1	1	yes	characteristic
226	C₂⁶	#546	1	1	yes	characteristic
227	C₂⁶	#551	1	1	yes	characteristic
228	C₂³×D₄	#386	1	1	yes	characteristic
229	C₂³×D₄	#386	1	1	yes	characteristic
230	C₂³×D₄	#386	1	1	yes	characteristic
231	C₂³×D₄	#386	1	1	yes	characteristic
232	C₂³×D₄	B(4,𝔽₂)	1	1	yes	characteristic
233	C₂³×D₄	B(4,𝔽₂)	1	1	yes	characteristic
234	C₂³×D₄	B(4,𝔽₂)	1	1	yes	characteristic
235	C₂³×D₄	B(4,𝔽₂)	1	1	yes	characteristic
236	C₂³×D₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
237	C₂³×D₄	C₂×C₄×D₄	1	1	yes	characteristic
238	C₂³×D₄	C₂×C₄×D₄	1	1	yes	characteristic
239	C₂³×D₄	C₂×#121	1	1	yes	characteristic
240	C₂³×D₄	C₂×#121	1	1	yes	characteristic
241	C₂³×D₄	C₂×#123	1	1	yes	characteristic
242	C₂³×D₄	#525	1	1	yes	characteristic
243	C₂³×D₄	#535	1	1	yes	characteristic
244	C₂³×D₄	#546	1	1	yes	characteristic
245	C₂³×D₄	#546	1	1	yes	characteristic
246	C₂³×D₄	#546	1	1	yes	characteristic
247	C₂³×D₄	#546	1	1	yes	characteristic
248	C₂⁴×C₄	B(4,𝔽₂)	1	1	yes	characteristic
249	C₂⁴×C₄	B(4,𝔽₂)	1	1	yes	characteristic
250	C₂⁴×C₄	C₂×#120	1	1	yes	characteristic
251	C₂⁴×C₄	D₄²	1	1	yes	characteristic
252	C₂⁴×C₄	D₄²	1	1	yes	characteristic
253	C₂²×C₂²⋊C₄	C₂×C₄×D₄	1	1	yes	characteristic
254	C₂²×C₂²⋊C₄	C₂×C₄×D₄	1	1	yes	characteristic
255	C₂²×C₂²⋊C₄	#518	1	1	yes	characteristic
256	C₂²×C₂²⋊C₄	#525	1	1	yes	characteristic
257	C₂²×C₂²⋊C₄	#525	1	1	yes	characteristic
258	C₂²×C₂²⋊C₄	#538	1	1	yes	characteristic
259	C₂²×C₂²⋊C₄	D₄²	1	1	yes	characteristic
260	C₂²×C₂²⋊C₄	D₄²	1	1	yes	characteristic
261	C₂²×C₂²⋊C₄	#546	1	1	yes	characteristic
262	C₂²×C₂²⋊C₄	#546	1	1	yes	characteristic
263	C₂²×C₂²⋊C₄	#546	1	1	yes	characteristic
264	C₂²×C₂²⋊C₄	#551	1	1	yes	characteristic
265	C₂²×C₄²	B(4,𝔽₂)	1	2	yes	—
266	C₂²×C₄²	B(4,𝔽₂)	1	2	yes	—
267	#379	#386	1	1	yes	characteristic
268	#379	#386	1	1	yes	characteristic
269	#379	#386	1	1	yes	characteristic
270	#379	#386	1	1	yes	characteristic
271	C₂⁵	#1889	1	1	yes	characteristic
272	C₂⁵	#1889	1	1	yes	characteristic
273	C₂⁵	#1889	1	1	yes	characteristic
274	C₂⁵	#1889	1	1	yes	characteristic
275	C₂⁵	C₂×#386	1	1	yes	characteristic
276	C₂⁵	#2321	1	1	yes	characteristic
277	C₂⁵	D₄×C₂²⋊C₄	1	1	yes	characteristic
278	C₂⁵	#2358	1	1	yes	characteristic
279	C₂⁵	#2403	1	1	yes	characteristic
280	C₂⁵	#2404	1	1	yes	characteristic
281	C₂⁵	#2418	1	1	yes	characteristic
282	C₂⁵	#2424	1	1	yes	characteristic
283	C₂⁵	#2534	1	1	yes	characteristic
284	C₂⁵	C₂×B(4,𝔽₂)	1	1	yes	characteristic
285	C₂⁵	C₂×B(4,𝔽₂)	1	1	yes	characteristic
286	C₂⁵	C₂×B(4,𝔽₂)	1	1	yes	characteristic
287	C₂⁵	C₂×B(4,𝔽₂)	1	1	yes	characteristic
288	C₂³×C₄	#1889	1	1	yes	characteristic
289	C₂³×C₄	#1889	1	1	yes	characteristic
290	C₂³×C₄	#1889	1	1	yes	characteristic
291	C₂³×C₄	#1889	1	1	yes	characteristic
292	C₂³×C₄	C₄×#120	1	1	yes	characteristic
293	C₂³×C₄	D₄×C₂²⋊C₄	1	1	yes	characteristic
294	C₂³×C₄	#2358	1	1	yes	characteristic
295	C₂³×C₄	#2408	1	1	yes	characteristic
296	C₂³×C₄	#2418	1	1	yes	characteristic
297	C₂³×C₄	#2424	1	1	yes	characteristic
298	C₂³×C₄	C₂×B(4,𝔽₂)	1	2	yes	—
299	C₂³×C₄	#3025	1	2	yes	—
300	C₂⁴	#13967	1	1	yes	characteristic
301	C₂⁴	C₂×#1889	1	1	yes	characteristic
302	C₂⁴	C₂×#1889	1	1	yes	characteristic
303	C₂⁴	#23895	1	1	yes	characteristic
304	C₂⁴	#23896	1	1	yes	characteristic
305	C₂⁴	#23900	1	1	yes	characteristic
306	C₂⁴	#23900	1	1	yes	characteristic
307	C₂⁴	#23900	1	1	yes	characteristic
308	C₂⁴	#23902	1	1	yes	characteristic
309	C₂⁴	#23984	1	1	yes	characteristic
310	C₂⁴	#23984	1	1	yes	characteristic
311	C₂²×C₄	C₄×B(4,𝔽₂)	1	2	yes	—
312	C₂²×C₄	#24260	1	2	yes	—
313	C₂³	#245225	1	1	yes	characteristic
314	C₂³	#245227	1	1	yes	characteristic
315	C₂³	#245229	1	1	yes	characteristic
316	C₂³	#245231	1	1	yes	characteristic
317	C₂³	#364410	1	1	yes	characteristic
318	C₂³	#364500	1	1	yes	characteristic
319	C₂³	#364513	1	1	yes	characteristic
320	C₂²	#72209844	1	1	yes	characteristic
321	C₂²	#72237355	1	1	yes	characteristic
322	C₂²	#72237497	1	1	yes	characteristic
323	C₂	#72251083	1	1	yes	characteristic
324	C₂	#72251580	1	1	yes	characteristic
325	C₂	#72251672	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	#72237497
commutator	C₂²×#120	C₂³×C₄
Frattini, cosocle	C₂³×#120	C₂⁴
prime radical	#72249438	C₂
LCS	G ▷ C₂²×#120 ▷ C₂⁴ ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂⁵ ◁ C₂³×#120 ◁ G
LECS	G ▷ C₂³×#120 ▷ C₂⁴ ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72262408	C₂	semidirect
2. #72262390	C₂	semidirect
3. #72262369	C₂	semidirect
4. #72262369	C₂	semidirect
5. #72262345	C₂	semidirect
6. #72262333	C₂	semidirect
7. #72262254	C₂	semidirect
8. #72256392	C₂	semidirect
9. #72251582	C₂	semidirect
10. #72251581	C₂²	semidirect
11. #72251577	C₂²	semidirect
16. #72249407	C₄	semidirect
17. #72249397	C₄	semidirect
18. #72249377	C₄	semidirect
19. #72237013	C₂	semidirect
21. #72236923	C₂	semidirect
22. #72236921	C₂	semidirect
23. #72236901	C₂²	semidirect
24. #72236901	C₂²	semidirect
27. #72236875	C₂²	semidirect
28. #72236875	C₂²	semidirect
31. #72236816	C₂²	semidirect
32. #72236814	C₂²	semidirect
33. #72236754	C₂²	semidirect
34. #72235948	C₂	semidirect
35. #72235933	C₂²	semidirect
37. #72235909	C₂	semidirect
38. #72235881	C₂²	semidirect
39. #72235865	C₂²	semidirect
40. #72235865	C₂²	semidirect
41. #72235854	C₂²	semidirect
43. #72231822	C₂²	semidirect
47. #72225873	C₂²	semidirect
49. #72219532	C₄	semidirect
55. C₂×#62652	D₄	semidirect
56. #8934496	C₂×C₄	semidirect
57. #8934400	C₂×C₄	semidirect
58. #8934400	C₂×C₄	semidirect
59. #8934377	C₂×C₄	semidirect
66. C₂×#20585	D₄	semidirect
70. #417896	C₂×C₄	semidirect
71. #417824	C₂×C₄	semidirect
74. #379754	D₄	semidirect
75. #379754	D₄	semidirect
76. #353314	D₄	semidirect
77. #353314	D₄	semidirect
78. #249331	C₂×C₄	semidirect
79. #249319	C₂×C₄	semidirect
84. C₂×#9497	D₄	semidirect
85. C₂×#9497	D₄	semidirect
94. #185255	D₄	semidirect
95. #185255	D₄	semidirect
96. #134025	C₂×C₄	semidirect
97. #133970	C₂×C₄	semidirect
98. #133291	C₂×C₄	semidirect
99. #133290	C₂×C₄	semidirect
100. #133278	C₂×C₄	semidirect
101. #133278	C₂×C₄	semidirect
102. #106326	D₄	semidirect
103. #106326	D₄	semidirect
172. C₂×#543	C₄×D₄	semidirect
173. C₂×#543	C₄×D₄	semidirect
174. C₂×#534	C₄×D₄	semidirect
175. C₂×#534	C₄×D₄	semidirect
212. #2273	C₄×D₄	semidirect
213. #2273	C₄×D₄	semidirect
214. #2273	C₄×D₄	semidirect
215. #2273	C₄×D₄	semidirect

Maximal subgroups

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

subgroup	index
#72262408	2
#72262390	2
#72262369	2
#72262345	2
#72262333	2
#72262254	2
#72256392	2
#72251582	2
#72249438	2
#72237013	2
#72236923	2
#72236921	2
#72235948	2
#72235909	2