Subgroups — #72340857

Order 2048.

At least 6831 conjugacy classes of subgroups; only the 446 normal subgroups are shown.

The subgroup lattice has 326 nodes (normal subgroups only) — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#72340841	C₂	1	2	yes	maximal, complemented
2	#72340833	C₂	1	2	yes	maximal, complemented
3	#72340803	C₂	1	1	yes	maximal, characteristic, complemented
4	#72286622	C₂	1	2	yes	maximal, complemented
5	#72286294	C₂	1	2	yes	maximal, complemented
6	#72279545	C₂	1	1	yes	maximal, characteristic, complemented
7	#72279504	C₂	1	1	yes	maximal, characteristic, complemented
8	#72279489	C₂	1	1	yes	maximal, characteristic, complemented
9	#72279427	C₂	1	1	yes	maximal, characteristic, complemented
10	#72261397	C₂	1	1	yes	maximal, characteristic
11	#72252021	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×#3498	C₂²	1	1	yes	characteristic
13	#10574840	C₄	1	1	yes	characteristic, complemented
14	C₂×#33359	C₂²	1	2	yes	—
15	#6437623	C₄	1	1	yes	characteristic, complemented
16	C₂×#23872	C₄	1	1	yes	characteristic, complemented
17	C₂×#23872	C₄	1	1	yes	characteristic, complemented
18	C₂×#23872	C₂²	1	1	yes	characteristic
19	C₂×#23872	C₂²	1	1	yes	characteristic
20	#6437437	C₂²	1	1	yes	characteristic
21	#6344053	C₂²	1	1	yes	characteristic
22	#6343804	C₂²	1	1	yes	characteristic
23	#512578	C₂²	1	2	yes	complemented
24	#512564	C₂²	1	2	yes	complemented
25	#493431	C₂²	1	2	yes	—
26	#493365	C₂²	1	1	yes	characteristic
27	#493365	C₂²	1	1	yes	characteristic
28	#392132	C₄	1	1	yes	characteristic, complemented
29	#359669	C₄	1	1	yes	characteristic, complemented
30	#359669	C₄	1	1	yes	characteristic, complemented
31	#359669	C₂²	1	1	yes	characteristic
32	#359669	C₂²	1	1	yes	characteristic
33	#359470	C₂²	1	1	yes	characteristic
34	#359444	C₄	1	1	yes	characteristic, complemented
35	#187081	C₂²	1	2	yes	—
36	#187081	C₂²	1	2	yes	—
37	#151816	C₂²	1	2	yes	complemented
38	#151814	C₂²	1	2	yes	complemented
39	#151806	C₂²	1	2	yes	complemented
40	#151794	C₂²	1	2	yes	complemented
41	#151784	C₂²	1	2	yes	complemented
42	#151782	C₂²	1	2	yes	complemented
43	C₂³×H(5,𝔽₂)	C₂×C₄	1	1	yes	characteristic
44	C₂³×H(5,𝔽₂)	D₄	1	1	yes	characteristic
45	C₂×#3585	C₂×C₄	1	1	yes	characteristic
46	C₂×#3585	C₂×C₄	1	1	yes	characteristic, complemented
47	#62811	C₂×C₄	1	1	yes	characteristic, complemented
48	C₂×#3498	C₂×C₄	1	1	yes	characteristic
49	C₂×#3498	C₂×C₄	1	1	yes	characteristic
50	C₂×#3498	D₄	1	1	yes	characteristic
51	C₂×#3498	D₄	1	1	yes	characteristic
52	C₂×#3498	D₄	1	1	yes	characteristic
53	C₂×#3498	D₄	1	1	yes	characteristic
54	C₂×#3498	C₂³	1	1	yes	characteristic
55	C₂×#3498	C₂³	1	1	yes	characteristic
56	C₂²×#535	C₂×C₄	1	1	yes	characteristic
57	C₂²×#535	D₄	1	1	yes	characteristic
58	C₂²×#532	C₂³	1	1	yes	characteristic
59	C₂³×#127	D₄	1	1	yes	characteristic
60	C₂²×C₄×#41	D₄	1	1	yes	characteristic
61	C₂×#3027	C₂×C₄	1	1	yes	characteristic
62	C₂×#3027	C₂×C₄	1	1	yes	characteristic, complemented
63	C₂×#3018	C₂×C₄	1	1	yes	characteristic, complemented
64	C₂×#3018	C₂³	1	1	yes	characteristic
65	#60087	C₂×C₄	1	1	yes	characteristic
66	#60087	C₂×C₄	1	1	yes	characteristic, complemented
67	#60064	C₂×C₄	1	1	yes	characteristic, complemented
68	C₂×#2126	C₂³	1	2	yes	—
69	C₂×#2126	C₂³	1	2	yes	—
70	C₂×#1914	C₂×C₄	1	1	yes	characteristic
71	C₂×#1914	C₂×C₄	1	1	yes	characteristic
72	C₂×#1914	C₂×C₄	1	1	yes	characteristic, complemented
73	C₂×#1914	C₂×C₄	1	1	yes	characteristic, complemented
74	#20961	C₂×C₄	1	1	yes	characteristic
75	#20961	C₂×C₄	1	1	yes	characteristic, complemented
76	#20952	C₂×C₄	1	1	yes	characteristic, complemented
77	#20952	C₂³	1	1	yes	characteristic
78	C₂×#1884	C₂×C₄	1	1	yes	characteristic, complemented
79	C₂×#1884	C₂×C₄	1	1	yes	characteristic, complemented
80	C₂×#1884	C₂³	1	1	yes	characteristic
81	C₂×#1884	C₂³	1	1	yes	characteristic
82	C₂×#1795	C₂×C₄	1	1	yes	characteristic
83	C₂×#1795	C₂×C₄	1	1	yes	characteristic
84	C₂×#1795	C₂×C₄	1	1	yes	characteristic, complemented
85	C₂×#1795	C₂×C₄	1	1	yes	characteristic, complemented
86	#20591	C₂×C₄	1	1	yes	characteristic, complemented
87	#20584	C₂×C₄	1	1	yes	characteristic, complemented
88	#17738	C₂³	1	2	yes	—
89	#17663	C₂³	1	2	yes	—
90	#12695	D₄	1	2	yes	complemented
91	#12695	D₄	1	2	yes	complemented
92	#12694	D₄	1	2	yes	complemented
93	#12693	D₄	1	2	yes	complemented
94	#8469	D₄	1	8	yes	complemented
95	C₂×#585	C₂²×C₄	1	1	yes	characteristic
96	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	1	yes	characteristic
97	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	1	yes	characteristic
98	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	1	yes	characteristic
99	C₂²×H(5,𝔽₂)	C₂²⋊C₄	1	1	yes	characteristic
100	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic
101	C₂²×H(5,𝔽₂)	C₂²×C₄	1	1	yes	characteristic
102	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
103	C₂²×H(5,𝔽₂)	C₂×D₄	1	1	yes	characteristic
104	C₂³×#41	C₂²⋊C₄	1	1	yes	characteristic
105	C₂³×#41	C₂²×C₄	1	1	yes	characteristic
106	C₂³×#41	C₂×D₄	1	1	yes	characteristic
107	C₂⁴×D₄	C₂²⋊C₄	1	1	yes	characteristic
108	C₂⁴×D₄	C₂²⋊C₄	1	1	yes	characteristic
109	C₂×#568	C₂²×C₄	1	1	yes	characteristic
110	C₂×#568	C₂²×C₄	1	1	yes	characteristic
111	#3498	C₂×D₄	1	4	yes	—
112	#3498	#41	1	4	yes	—
113	C₂×#535	C₂²⋊C₄	1	1	yes	characteristic
114	C₂×#535	C₂²⋊C₄	1	1	yes	characteristic
115	C₂×#535	C₂²⋊C₄	1	1	yes	characteristic
116	C₂×#535	C₂²⋊C₄	1	1	yes	characteristic
117	C₂×#535	C₂²×C₄	1	1	yes	characteristic
118	C₂×#535	C₂²×C₄	1	1	yes	characteristic
119	C₂×#535	C₂×D₄	1	1	yes	characteristic
120	C₂×#535	C₂×D₄	1	1	yes	characteristic
121	C₂×#532	C₂²×C₄	1	1	yes	characteristic
122	C₂×#532	C₂×D₄	1	1	yes	characteristic
123	C₂×#532	C₂×D₄	1	1	yes	characteristic
124	C₂×#532	C₂×D₄	1	1	yes	characteristic
125	C₂×#532	C₂×D₄	1	1	yes	characteristic
126	C₂×#532	#41	1	1	yes	characteristic
127	C₂×#532	#41	1	1	yes	characteristic
128	C₂×#532	C₂⁴	1	1	yes	characteristic
129	C₂²×C₄⋊Q₈	#41	1	1	yes	characteristic
130	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic
131	C₂²×#127	C₂²⋊C₄	1	1	yes	characteristic
132	C₂²×#127	C₂×D₄	1	1	yes	characteristic
133	C₂²×#127	C₂×D₄	1	1	yes	characteristic
134	C₂²×#127	C₂×D₄	1	1	yes	characteristic
135	C₂²×#124	C₂×D₄	1	1	yes	characteristic
136	C₂²×#124	#41	1	1	yes	characteristic
137	#3428	C₂²×C₄	1	1	yes	characteristic
138	C₂×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic
139	C₂×C₄×#41	C₂²⋊C₄	1	1	yes	characteristic
140	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
141	C₂×C₄×#41	C₂×D₄	1	1	yes	characteristic
142	C₂²×#117	C₂²⋊C₄	1	1	yes	characteristic
143	C₂³×C₄²	C₂×D₄	1	1	yes	characteristic
144	C₂×#413	C₂²×C₄	1	1	yes	characteristic
145	C₂×#413	C₂²×C₄	1	1	yes	characteristic
146	C₂×#410	C₂²×C₄	1	1	yes	characteristic
147	C₂×#410	C₂²×C₄	1	1	yes	characteristic
148	C₂×#354	C₂×D₄	1	4	yes	—
149	C₂×#353	C₂×D₄	1	4	yes	—
150	#1560	C₂×D₄	1	4	yes	—
151	#1525	C₂×D₄	1	4	yes	—
152	C₂⁶	#99	1	2	yes	—
153	C₂×H(5,𝔽₂)	C₄×D₄	1	4	yes	—
154	C₂×H(5,𝔽₂)	#121	1	4	yes	—
155	C₂²×#41	#99	1	1	yes	characteristic
156	C₂²×#41	#99	1	1	yes	characteristic
157	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
158	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
159	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
160	C₂²×#41	C₂×C₂²⋊C₄	1	1	yes	characteristic
161	C₂²×#41	C₄×D₄	1	1	yes	characteristic
162	C₂²×#41	C₄×D₄	1	1	yes	characteristic
163	C₂²×#41	#120	1	1	yes	characteristic
164	C₂²×#41	#123	1	1	yes	characteristic
165	C₂²×#41	C₂³×C₄	1	1	yes	characteristic
166	C₂²×#41	C₂²×D₄	1	1	yes	characteristic
167	C₂³×Q₈	#99	1	1	yes	characteristic
168	C₂³×Q₈	C₄×D₄	1	1	yes	characteristic
169	C₂³×Q₈	#123	1	1	yes	characteristic
170	C₂³×D₄	#99	1	1	yes	characteristic
171	C₂³×D₄	#99	1	2	yes	—
172	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
173	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
174	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
175	C₂³×D₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
176	C₂³×D₄	C₄×D₄	1	1	yes	characteristic
177	C₂³×D₄	#120	1	1	yes	characteristic
178	C₂⁴×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
179	#535	C₄×D₄	1	4	yes	—
180	#535	#121	1	4	yes	—
181	#532	C₂²×D₄	1	2	yes	—
182	#532	C₂×#41	1	2	yes	—
183	#532	H(5,𝔽₂)	1	2	yes	—
184	#532	H(5,𝔽₂)	1	2	yes	—
185	C₂×C₄⋊Q₈	C₄×D₄	1	1	yes	characteristic
186	C₂×C₄⋊Q₈	#121	1	1	yes	characteristic
187	C₂×C₄⋊Q₈	#123	1	1	yes	characteristic
188	C₂×C₄⋊Q₈	C₂×#41	1	1	yes	characteristic
189	C₂×#127	#99	1	2	yes	—
190	C₂×#127	#99	1	2	yes	—
191	C₂×#127	C₄×D₄	1	1	yes	characteristic
192	C₂×#127	#120	1	2	yes	—
193	C₂×#127	#120	1	1	yes	characteristic
194	C₂×#127	#121	1	1	yes	characteristic
195	C₂×#127	#123	1	2	yes	—
196	C₂×#127	C₂²×D₄	1	1	yes	characteristic
197	C₂×#124	C₄×D₄	1	1	yes	characteristic
198	C₂×#124	C₄×D₄	1	1	yes	characteristic
199	C₂×#124	#120	1	1	yes	characteristic
200	C₂×#124	#121	1	1	yes	characteristic
201	C₂×#124	#121	1	1	yes	characteristic
202	C₂×#124	#123	1	1	yes	characteristic
203	C₂×#124	C₂²×D₄	1	1	yes	characteristic
204	C₂×#124	C₂×#41	1	1	yes	characteristic
205	C₄×#41	#99	1	2	yes	—
206	C₄×#41	#99	1	2	yes	—
207	C₄×#41	#120	1	2	yes	—
208	C₄×#41	#123	1	2	yes	—
209	C₂×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
210	C₂×#117	C₂×C₂²⋊C₄	1	1	yes	characteristic
211	C₂²×C₄²	C₂×C₂²⋊C₄	1	1	yes	characteristic
212	C₂²×C₄²	#121	1	1	yes	characteristic
213	C₂²×C₄²	#121	1	1	yes	characteristic
214	C₂²×C₄²	#121	1	1	yes	characteristic
215	C₂²×C₄²	#121	1	1	yes	characteristic
216	C₂²×C₄²	C₂²×D₄	1	1	yes	characteristic
217	C₂⁵	C₂×#99	1	1	yes	characteristic
218	C₂⁵	C₂×#99	1	2	yes	—
219	C₂⁵	C₂×#99	1	2	yes	—
220	C₂×#41	AΣL(1,𝔽₁₆)	1	4	yes	—
221	C₂×#41	#386	1	2	yes	—
222	C₂×#41	C₂×#99	1	2	yes	—
223	C₂×#41	C₂×C₄×D₄	1	2	yes	—
224	C₂×#41	#518	1	2	yes	—
225	C₂×#41	C₂×#121	1	2	yes	—
226	C₂×#41	#534	1	2	yes	—
227	C₂²×Q₈	#386	1	1	yes	characteristic
228	C₂²×Q₈	#386	1	1	yes	characteristic
229	C₂²×Q₈	C₂×#99	1	1	yes	characteristic
230	C₂²×Q₈	C₂×#99	1	1	yes	characteristic
231	C₂²×Q₈	C₂×C₄×D₄	1	1	yes	characteristic
232	C₂²×Q₈	C₂×#123	1	1	yes	characteristic
233	C₂²×D₄	#386	1	1	yes	characteristic
234	C₂²×D₄	#386	1	1	yes	characteristic
235	C₂²×D₄	#386	1	2	yes	—
236	C₂²×D₄	#386	1	2	yes	—
237	C₂²×D₄	C₂×#99	1	2	yes	—
238	C₂²×D₄	C₂×#99	1	2	yes	—
239	C₂²×D₄	C₂×#99	1	1	yes	characteristic
240	C₂²×D₄	C₂×#99	1	1	yes	characteristic
241	C₂²×D₄	C₂×C₄×D₄	1	1	yes	characteristic
242	C₂²×D₄	C₂×#120	1	1	yes	characteristic
243	C₂³×C₄	#386	1	1	yes	characteristic
244	C₂³×C₄	#386	1	1	yes	characteristic
245	C₂³×C₄	C₂×#99	1	1	yes	characteristic
246	C₂³×C₄	C₂×#99	1	1	yes	characteristic
247	C₂³×C₄	C₂×#99	1	1	yes	characteristic
248	C₂³×C₄	C₂²×C₂²⋊C₄	1	1	yes	characteristic
249	C₄⋊Q₈	#546	1	2	yes	—
250	C₄⋊Q₈	#551	1	2	yes	—
251	#127	D₄²	1	2	yes	—
252	#127	#546	1	2	yes	—
253	#124	D₄²	1	2	yes	—
254	#124	#546	1	2	yes	—
255	#124	#546	1	2	yes	—
256	#124	#551	1	2	yes	—
257	#117	#386	1	2	yes	—
258	#117	C₂×#99	1	2	yes	—
259	C₂×C₄²	#386	1	1	yes	characteristic
260	C₂×C₄²	#386	1	1	yes	characteristic
261	C₂×C₄²	C₂×#99	1	1	yes	characteristic
262	C₂×C₄²	C₂×#99	1	1	yes	characteristic
263	C₂×C₄²	C₂×#99	1	1	yes	characteristic
264	C₂×C₄²	C₂×#99	1	1	yes	characteristic
265	C₂×C₄²	C₂×#120	1	1	yes	characteristic
266	C₂×C₄²	C₂×#121	1	1	yes	characteristic
267	C₂×C₄²	C₂×#121	1	1	yes	characteristic
268	C₂×C₄²	C₂×#123	1	1	yes	characteristic
269	C₂×C₄²	#534	1	1	yes	characteristic
270	C₂×C₄²	#534	1	1	yes	characteristic
271	C₂⁴	#1898	1	1	yes	characteristic
272	C₂⁴	#1898	1	1	yes	characteristic
273	C₂⁴	#1898	1	4	yes	—
274	C₂⁴	C₂²×#99	1	1	yes	characteristic
275	C₂×Q₈	#1898	1	2	yes	—
276	C₂×Q₈	C₂×AΣL(1,𝔽₁₆)	1	2	yes	—
277	C₂×Q₈	#2358	1	2	yes	—
278	C₂×Q₈	#2412	1	2	yes	—
279	C₂×D₄	#1898	1	2	yes	—
280	C₂×D₄	C₂×AΣL(1,𝔽₁₆)	1	2	yes	—
281	C₂×D₄	#2121	1	2	yes	—
282	C₂×D₄	#2121	1	2	yes	—
283	C₂×D₄	#2358	1	2	yes	—
284	C₂×D₄	#2410	1	2	yes	—
285	C₂²×C₄	#1898	1	1	yes	characteristic
286	C₂²×C₄	#1898	1	1	yes	characteristic
287	C₂²×C₄	C₂×AΣL(1,𝔽₁₆)	1	2	yes	—
288	C₂²×C₄	#2121	1	2	yes	—
289	C₂²×C₄	C₂×#386	1	1	yes	characteristic
290	C₂²×C₄	C₂×#386	1	1	yes	characteristic
291	C₂²×C₄	#2308	1	1	yes	characteristic
292	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
293	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
294	C₂²×C₄	C₂²×#99	1	1	yes	characteristic
295	C₄²	#1898	1	1	yes	characteristic
296	C₄²	#1898	1	1	yes	characteristic
297	C₄²	#1898	1	1	yes	characteristic
298	C₄²	#1898	1	1	yes	characteristic
299	C₄²	#2410	1	1	yes	characteristic
300	C₄²	#2410	1	1	yes	characteristic
301	C₄²	#2412	1	1	yes	characteristic
302	C₄²	#2412	1	1	yes	characteristic
303	C₂³	#13086	1	2	yes	—
304	C₂³	C₂×#1898	1	1	yes	characteristic
305	C₂³	C₂×#1898	1	1	yes	characteristic
306	C₂³	#21746	1	1	yes	characteristic
307	D₄	#13082	1	4	yes	—
308	C₂×C₄	#13086	1	2	yes	—
309	C₂×C₄	#14134	1	1	yes	characteristic
310	C₂×C₄	C₂×#1898	1	1	yes	characteristic
311	C₂×C₄	C₂×#1898	1	1	yes	characteristic
312	C₂×C₄	#21746	1	1	yes	characteristic
313	C₂×C₄	C₂²×AΣL(1,𝔽₁₆)	1	1	yes	characteristic
314	C₂×C₄	C₂×#2121	1	1	yes	characteristic
315	C₂×C₄	C₂×#2121	1	1	yes	characteristic
316	C₂×C₄	C₂×#2121	1	1	yes	characteristic
317	C₂²	#374022	1	1	yes	characteristic
318	C₂²	C₂×#13086	1	1	yes	characteristic
319	C₂²	#494695	1	1	yes	characteristic
320	C₄	C₂×#13082	1	1	yes	characteristic
321	C₄	#494677	1	1	yes	characteristic
322	C₄	#496225	1	1	yes	characteristic
323	C₄	#496231	1	1	yes	characteristic
324	C₂	#72340828	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#72340828
commutator	C₂²×#41	C₂³×C₄
Frattini, cosocle	C₂×#532	C₂⁴
prime radical	#72261397	C₂
LCS	G ▷ C₂²×#41 ▷ C₂×C₄ ▷ C₂² ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ C₂³×#41 ◁ C₂²×#3498 ◁ G
LECS	G ▷ C₂×#532 ▷ C₂×C₄ ▷ C₂² ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #72340841	C₂	semidirect
2. #72340833	C₂	semidirect
3. #72340803	C₂	semidirect
4. #72286622	C₂	semidirect
5. #72286294	C₂	semidirect
6. #72279545	C₂	semidirect
7. #72279504	C₂	semidirect
8. #72279489	C₂	semidirect
9. #72279427	C₂	semidirect
11. #72252021	C₂	semidirect
13. #10574840	C₄	semidirect
15. #6437623	C₄	semidirect
16. C₂×#23872	C₄	semidirect
17. C₂×#23872	C₄	semidirect
23. #512578	C₂²	semidirect
24. #512564	C₂²	semidirect
28. #392132	C₄	semidirect
29. #359669	C₄	semidirect
30. #359669	C₄	semidirect
34. #359444	C₄	semidirect
37. #151816	C₂²	semidirect
38. #151814	C₂²	semidirect
39. #151806	C₂²	semidirect
40. #151794	C₂²	semidirect
41. #151784	C₂²	semidirect
42. #151782	C₂²	semidirect
46. C₂×#3585	C₂×C₄	semidirect
47. #62811	C₂×C₄	semidirect
62. C₂×#3027	C₂×C₄	semidirect
63. C₂×#3018	C₂×C₄	semidirect
66. #60087	C₂×C₄	semidirect
67. #60064	C₂×C₄	semidirect
72. C₂×#1914	C₂×C₄	semidirect
73. C₂×#1914	C₂×C₄	semidirect
75. #20961	C₂×C₄	semidirect
76. #20952	C₂×C₄	semidirect
78. C₂×#1884	C₂×C₄	semidirect
79. C₂×#1884	C₂×C₄	semidirect
84. C₂×#1795	C₂×C₄	semidirect
85. C₂×#1795	C₂×C₄	semidirect
86. #20591	C₂×C₄	semidirect
87. #20584	C₂×C₄	semidirect
90. #12695	D₄	semidirect
91. #12695	D₄	semidirect
92. #12694	D₄	semidirect
93. #12693	D₄	semidirect
94. #8469	D₄	semidirect

Maximal subgroups

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

subgroup	index
#72340841	2
#72340833	2
#72340803	2
#72286622	2
#72286294	2
#72279545	2
#72279504	2
#72279489	2
#72279427	2
#72261397	2
#72252021	2