Subgroups — #149467

Order 512.

710 conjugacy classes of subgroups.

The subgroup lattice has 441 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#3164	C₂	1	1	yes	maximal, characteristic
2	C₂×#1387	C₂	1	1	yes	maximal, characteristic
3	C₂×#1382	C₂	1	1	yes	maximal, characteristic
4	#12557	C₂	1	1	yes	maximal, characteristic
5	C₂×#1380	C₂	1	1	yes	maximal, characteristic
6	C₂×#1379	C₂	1	1	yes	maximal, characteristic
7	#10870	C₂	1	1	yes	maximal, characteristic
8	C₂×#544	—	2	1	no	—
9	C₂²×M₃₂	C₂²	1	1	yes	characteristic
10	C₂³×C₁₆	C₂²	1	1	yes	characteristic
11	#3164	—	2	2	no	—
12	#3164	—	2	2	no	—
13	#3164	—	2	2	no	—
14	#3164	C₄	1	4	yes	complemented
15	C₂×#501	—	2	2	no	—
16	C₂×#500	—	2	1	no	—
17	C₂×#499	—	2	1	no	—
18	C₂²×#108	C₂²	1	1	yes	characteristic
19	C₂×#428	—	2	1	no	—
20	C₂×#427	C₂²	1	1	yes	characteristic
21	C₂²×#107	C₂²	1	1	yes	characteristic
22	C₂²×#107	C₂²	1	1	yes	characteristic
23	C₂×#405	C₂²	1	1	yes	characteristic
24	C₂×#343	—	2	1	no	—
25	#1736	—	2	1	no	—
26	#1387	—	2	2	no	—
27	#1382	—	2	2	no	—
28	#1380	—	2	2	no	—
29	#1380	—	2	1	no	—
30	#1380	—	2	1	no	—
31	#1379	—	2	2	no	—
32	C₂²×M₁₆	—	2	1	no	—
33	C₂²×M₁₆	D₄	1	1	yes	characteristic
34	C₂³×C₈	C₂³	1	1	yes	characteristic
35	#544	—	2	4	no	—
36	#544	—	2	4	no	—
37	#544	—	4	2	no	—
38	#544	—	4	2	no	—
39	C₂×C₄⋊Q₈	—	2	2	no	—
40	C₂×C₄⋊Q₈	—	4	1	no	—
41	C₂×#125	—	2	2	no	—
42	C₂×#125	—	4	1	no	—
43	C₂×C₂²⋊Q₈	—	4	2	no	—
44	C₂×#117	—	2	1	no	—
45	C₂×#117	D₄	1	1	yes	characteristic
46	C₂²×C₄⋊C₄	—	2	1	no	—
47	C₂²×C₄⋊C₄	—	2	1	no	—
48	C₂×M₃₂	—	2	1	no	—
49	C₂×M₃₂	—	2	1	no	—
50	C₂×M₃₂	—	2	1	no	—
51	C₂×M₃₂	—	2	1	no	—
52	C₂×M₃₂	—	2	1	no	—
53	C₂×M₃₂	Q₈	1	2	yes	complemented
54	C₂²×C₁₆	—	2	1	no	—
55	C₂²×C₁₆	—	2	1	no	—
56	C₂²×C₁₆	—	2	1	no	—
57	C₂²×C₁₆	—	2	1	no	—
58	C₂²×C₁₆	—	2	1	no	—
59	C₂²×C₁₆	—	2	1	no	—
60	C₂²×C₁₆	—	2	1	no	—
61	C₂²×C₁₆	Q₈	1	2	yes	complemented
62	#501	—	2	8	no	—
63	#501	—	2	8	no	—
64	#500	—	2	4	no	—
65	#500	—	2	4	no	—
66	#499	—	2	4	no	—
67	#499	—	2	4	no	—
68	C₂×#108	—	2	1	no	—
69	C₂×#108	—	2	1	no	—
70	C₂×#108	—	2	1	no	—
71	C₂×#108	—	2	1	no	—
72	C₂×#108	—	2	1	no	—
73	C₂×#108	Q₈	1	2	yes	complemented
74	#428	—	2	4	no	—
75	#428	—	2	4	no	—
76	#427	—	2	1	no	—
77	#427	—	2	1	no	—
78	#427	C₂×C₄	1	2	yes	—
79	#427	D₄	1	2	yes	—
80	C₂×#107	—	2	2	no	—
81	C₂×#107	—	2	1	no	—
82	C₂×#107	—	2	1	no	—
83	C₂×#107	—	2	1	no	—
84	C₂×#107	—	2	1	no	—
85	C₂×#107	—	2	1	no	—
86	C₂×#107	—	2	1	no	—
87	C₂×#107	—	2	1	no	—
88	C₂×#107	—	2	1	no	—
89	C₂×#107	C₂×C₄	1	2	yes	—
90	C₂×#107	D₄	1	1	yes	characteristic
91	C₂×#107	D₄	1	1	yes	characteristic
92	C₂×#107	D₄	1	2	yes	—
93	C₂×#107	D₄	1	2	yes	—
94	C₂×#107	Q₈	1	2	yes	complemented
95	C₂×#106	—	2	2	no	—
96	C₂×#106	—	2	1	no	—
97	#405	—	2	1	no	—
98	#405	—	2	1	no	—
99	#405	C₂×C₄	1	2	yes	—
100	#405	D₄	1	2	yes	—
101	C₂×#97	—	2	1	no	—
102	C₂×C₄×C₈	—	2	1	no	—
103	#343	—	4	2	no	—
104	#340	—	4	1	no	—
105	#340	—	4	1	no	—
106	C₂²×Q₈	—	4	2	no	—
107	C₂³×C₄	—	4	1	no	—
108	C₂³×C₄	—	4	1	no	—
109	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
110	C₂×M₁₆	—	2	1	no	—
111	C₂×M₁₆	—	2	1	no	—
112	C₂×M₁₆	—	2	1	no	—
113	C₂×M₁₆	—	2	2	no	—
114	C₂×M₁₆	—	4	1	no	—
115	C₂×M₁₆	—	4	1	no	—
116	C₂×M₁₆	—	4	1	no	—
117	C₂×M₁₆	—	4	1	no	—
118	C₂×M₁₆	—	4	1	no	—
119	C₂×M₁₆	C₂²⋊C₄	1	2	yes	—
120	C₂×M₁₆	SD₁₆	1	2	yes	—
121	C₂×M₁₆	Q₁₆	1	2	yes	—
122	C₂²×C₈	—	2	1	no	—
123	C₂²×C₈	—	4	1	no	—
124	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
125	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
126	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
127	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
128	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
129	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
130	C₂²×C₈	C₂×Q₈	1	1	yes	characteristic
131	C₂²×C₈	C₂×Q₈	1	1	yes	characteristic
132	C₂²×C₈	C₂×Q₈	1	1	yes	characteristic
133	C₂²×C₈	C₂×Q₈	1	1	yes	characteristic
134	C₂²×C₈	#41	1	1	yes	characteristic
135	C₂²×C₈	#41	1	1	yes	characteristic
136	C₂²×C₈	#41	1	1	yes	characteristic
137	C₂²×C₈	#41	1	1	yes	characteristic
138	C₄⋊Q₈	—	2	8	no	—
139	C₄⋊Q₈	—	4	4	no	—
140	C₄⋊Q₈	—	4	4	no	—
141	C₄⋊Q₈	—	4	4	no	—
142	#125	—	2	8	no	—
143	#125	—	4	4	no	—
144	#125	—	4	4	no	—
145	#125	—	4	4	no	—
146	C₂²⋊Q₈	—	4	8	no	—
147	C₂²⋊Q₈	—	4	8	no	—
148	#117	—	2	1	no	—
149	#117	—	2	1	no	—
150	#117	—	2	2	no	—
151	#117	—	2	2	no	—
152	#117	—	4	1	no	—
153	#117	—	4	1	no	—
154	#117	C₂²⋊C₄	1	2	yes	—
155	#117	SD₁₆	1	2	yes	—
156	C₂×C₄⋊C₄	—	2	2	no	—
157	C₂×C₄⋊C₄	—	2	2	no	—
158	C₂×C₄⋊C₄	—	2	2	no	—
159	C₂×C₄⋊C₄	—	2	1	no	—
160	C₂×C₄⋊C₄	—	2	1	no	—
161	C₂×C₄⋊C₄	—	2	2	no	—
162	C₂×C₄⋊C₄	—	4	2	no	—
163	C₂×C₄⋊C₄	—	4	2	no	—
164	C₂×C₄⋊C₄	—	4	2	no	—
165	C₂×C₄⋊C₄	—	4	1	no	—
166	C₂×C₄⋊C₄	—	4	1	no	—
167	C₂×C₄⋊C₄	—	4	1	no	—
168	C₂×C₄⋊C₄	—	4	1	no	—
169	C₂×C₄⋊C₄	—	4	1	no	—
170	C₂×C₄⋊C₄	—	4	1	no	—
171	C₂×C₄⋊C₄	—	4	1	no	—
172	C₂×C₄⋊C₄	—	4	1	no	—
173	C₂×C₄⋊C₄	D₈	1	1	yes	characteristic
174	C₂×C₄⋊C₄	D₈	1	1	yes	characteristic
175	C₂×C₂²⋊C₄	—	2	1	no	—
176	C₂×C₂²⋊C₄	—	4	1	no	—
177	C₂×C₄²	—	2	1	no	—
178	C₂×C₄²	—	4	1	no	—
179	M₃₂	—	2	2	no	—
180	M₃₂	—	2	2	no	—
181	M₃₂	—	4	1	no	—
182	M₃₂	—	4	1	no	—
183	C₂×C₁₆	—	2	2	no	—
184	C₂×C₁₆	—	2	2	no	—
185	C₂×C₁₆	—	2	2	no	—
186	C₂×C₁₆	—	2	2	no	—
187	C₂×C₁₆	—	4	1	no	—
188	C₂×C₁₆	—	4	1	no	—
189	C₂×C₁₆	—	4	1	no	—
190	C₂×C₁₆	—	4	1	no	—
191	C₂×C₁₆	—	4	1	no	—
192	C₂×C₁₆	—	4	1	no	—
193	#108	—	2	2	no	—
194	#108	—	2	2	no	—
195	#108	—	4	1	no	—
196	#108	—	4	1	no	—
197	#107	—	2	8	no	—
198	#107	—	2	2	no	—
199	#107	—	2	2	no	—
200	#107	—	2	2	no	—
201	#107	—	2	1	no	—
202	#107	—	2	1	no	—
203	#107	—	2	2	no	—
204	#107	—	2	2	no	—
205	#107	—	4	1	no	—
206	#107	—	4	1	no	—
207	#107	C₂²⋊C₄	1	4	yes	—
208	#107	C₂²⋊C₄	1	2	yes	—
209	#107	C₂²⋊C₄	1	2	yes	—
210	#106	—	2	8	no	—
211	#106	—	2	2	no	—
212	#106	—	2	2	no	—
213	#97	—	2	2	no	—
214	#97	—	2	2	no	—
215	C₄×C₈	—	2	2	no	—
216	C₄×C₈	—	2	2	no	—
217	C₂⁴	AGL(1,ℤ/8)	1	1	yes	characteristic
218	C₂×Q₈	—	4	8	no	—
219	C₂×Q₈	—	16	2	no	—
220	C₂×Q₈	—	16	2	no	—
221	C₂²×C₄	—	2	1	no	—
222	C₂²×C₄	—	2	1	no	—
223	C₂²×C₄	—	4	1	no	—
224	C₂²×C₄	—	4	1	no	—
225	C₂²×C₄	—	4	2	no	—
226	C₂²×C₄	—	4	2	no	—
227	C₂²×C₄	—	4	2	no	—
228	C₂²×C₄	—	4	2	no	—
229	C₂²×C₄	—	8	1	no	—
230	C₂²×C₄	—	8	1	no	—
231	C₂²×C₄	—	16	1	no	—
232	C₂²×C₄	—	16	1	no	—
233	C₂²×C₄	—	16	1	no	—
234	C₂²×C₄	—	16	1	no	—
235	C₂²×C₄	C₂×C₂²⋊C₄	1	1	yes	characteristic
236	C₂²×C₄	#120	1	1	yes	characteristic
237	C₂²×C₄	#120	1	1	yes	characteristic
238	C₂²×C₄	C₂²⋊Q₈	1	1	yes	characteristic
239	C₂²×C₄	C₂²⋊Q₈	1	1	yes	characteristic
240	C₂²×C₄	#124	1	1	yes	characteristic
241	C₂²×C₄	C₄⋊Q₈	1	1	yes	characteristic
242	C₂²×C₄	C₂×D₈	1	1	yes	characteristic
243	C₂²×C₄	C₂×SD₁₆	1	1	yes	characteristic
244	C₂²×C₄	C₂×SD₁₆	1	1	yes	characteristic
245	C₂²×C₄	C₂×Q₁₆	1	1	yes	characteristic
246	C₂²×C₄	AGL(1,ℤ/8)	1	1	yes	characteristic
247	C₂²×C₄	#137	1	1	yes	characteristic
248	C₂²×C₄	#137	1	1	yes	characteristic
249	M₁₆	—	2	2	no	—
250	M₁₆	—	2	2	no	—
251	M₁₆	—	2	2	no	—
252	M₁₆	—	4	2	no	—
253	M₁₆	—	4	2	no	—
254	M₁₆	—	8	1	no	—
255	M₁₆	—	8	1	no	—
256	M₁₆	#103	1	4	yes	—
257	C₂×C₈	—	2	2	no	—
258	C₂×C₈	—	2	2	no	—
259	C₂×C₈	—	2	2	no	—
260	C₂×C₈	—	4	2	no	—
261	C₂×C₈	—	8	1	no	—
262	C₂×C₈	—	8	1	no	—
263	C₂×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
264	C₂×C₈	C₂×C₂²⋊C₄	1	1	yes	characteristic
265	C₂×C₈	C₄×Q₈	1	1	yes	characteristic
266	C₂×C₈	C₄×Q₈	1	1	yes	characteristic
267	C₂×C₈	C₄×Q₈	1	1	yes	characteristic
268	C₂×C₈	C₄×Q₈	1	1	yes	characteristic
269	C₂×C₈	#120	1	1	yes	characteristic
270	C₂×C₈	#120	1	1	yes	characteristic
271	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
272	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
273	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
274	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
275	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
276	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
277	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
278	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
279	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
280	C₂×C₈	C₂²⋊Q₈	1	1	yes	characteristic
281	C₂×C₈	#124	1	1	yes	characteristic
282	C₂×C₈	#124	1	1	yes	characteristic
283	C₂×C₈	#124	1	1	yes	characteristic
284	C₂×C₈	#124	1	1	yes	characteristic
285	C₂×C₈	#124	1	1	yes	characteristic
286	C₂×C₈	C₄⋊Q₈	1	1	yes	characteristic
287	C₂×C₈	C₄⋊Q₈	1	1	yes	characteristic
288	C₂×C₈	C₄⋊Q₈	1	1	yes	characteristic
289	C₂×C₈	C₄⋊Q₈	1	1	yes	characteristic
290	C₂×C₈	C₄⋊Q₈	1	1	yes	characteristic
291	C₄⋊C₄	—	2	1	no	—
292	C₄⋊C₄	—	2	1	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	4	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	4	8	no	—
297	C₄⋊C₄	—	4	8	no	—
298	C₄⋊C₄	—	4	8	no	—
299	C₄⋊C₄	—	4	2	no	—
300	C₄⋊C₄	—	4	2	no	—
301	C₄⋊C₄	—	4	2	no	—
302	C₄⋊C₄	—	4	1	no	—
303	C₄⋊C₄	—	4	1	no	—
304	C₄⋊C₄	—	4	2	no	—
305	C₄⋊C₄	—	4	2	no	—
306	C₄⋊C₄	—	8	1	no	—
307	C₄⋊C₄	—	8	1	no	—
308	C₄⋊C₄	#102	1	2	yes	—
309	C₄⋊C₄	#102	1	2	yes	—
310	C₂²⋊C₄	—	2	2	no	—
311	C₂²⋊C₄	—	2	2	no	—
312	C₂²⋊C₄	—	4	2	no	—
313	C₂²⋊C₄	—	4	2	no	—
314	C₄²	—	2	2	no	—
315	C₄²	—	2	2	no	—
316	C₄²	—	4	2	no	—
317	C₄²	—	4	2	no	—
318	C₁₆	—	4	2	no	—
319	C₁₆	—	4	2	no	—
320	C₂³	—	2	1	no	—
321	C₂³	—	2	1	no	—
322	C₂³	—	2	1	no	—
323	C₂³	—	2	1	no	—
324	C₂³	#418	1	1	yes	characteristic
325	C₂³	#447	1	1	yes	characteristic
326	C₂³	#450	1	1	yes	characteristic
327	C₂³	#476	1	1	yes	characteristic
328	C₂³	#477	1	1	yes	characteristic
329	C₂³	#489	1	1	yes	characteristic
330	C₂³	#501	1	1	yes	characteristic
331	Q₈	—	16	8	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	4	1	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	1	no	—
337	C₂×C₄	—	4	1	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	4	no	—
341	C₂×C₄	—	8	2	no	—
342	C₂×C₄	—	8	1	no	—
343	C₂×C₄	—	8	1	no	—
344	C₂×C₄	—	8	2	no	—
345	C₂×C₄	—	8	1	no	—
346	C₂×C₄	—	8	1	no	—
347	C₂×C₄	—	8	2	no	—
348	C₂×C₄	—	16	2	no	—
349	C₂×C₄	—	16	2	no	—
350	C₂×C₄	—	16	2	no	—
351	C₂×C₄	—	16	1	no	—
352	C₂×C₄	—	16	1	no	—
353	C₂×C₄	—	16	2	no	—
354	C₂×C₄	#379	1	1	yes	characteristic
355	C₂×C₄	#391	1	1	yes	characteristic
356	C₂×C₄	#391	1	1	yes	characteristic
357	C₂×C₄	#393	1	1	yes	characteristic
358	C₂×C₄	#393	1	1	yes	characteristic
359	C₂×C₄	#395	1	1	yes	characteristic
360	C₂×C₄	#395	1	1	yes	characteristic
361	C₂×C₄	C₂×#102	1	1	yes	characteristic
362	C₂×C₄	C₂×#103	1	1	yes	characteristic
363	C₂×C₄	#419	1	1	yes	characteristic
364	C₂×C₄	#447	1	1	yes	characteristic
365	C₂×C₄	#448	1	1	yes	characteristic
366	C₂×C₄	#448	1	1	yes	characteristic
367	C₂×C₄	#450	1	1	yes	characteristic
368	C₂×C₄	#451	1	1	yes	characteristic
369	C₂×C₄	#451	1	1	yes	characteristic
370	C₂×C₄	#474	1	1	yes	characteristic
371	C₂×C₄	#474	1	1	yes	characteristic
372	C₂×C₄	#475	1	1	yes	characteristic
373	C₂×C₄	#475	1	1	yes	characteristic
374	C₂×C₄	#476	1	1	yes	characteristic
375	C₂×C₄	#477	1	1	yes	characteristic
376	C₂×C₄	#486	1	1	yes	characteristic
377	C₂×C₄	#487	1	1	yes	characteristic
378	C₂×C₄	#489	1	1	yes	characteristic
379	C₂×C₄	#498	1	1	yes	characteristic
380	C₂×C₄	#500	1	1	yes	characteristic
381	C₂×C₄	#501	1	1	yes	characteristic
382	C₈	—	2	4	no	—
383	C₈	—	8	2	no	—
384	C₈	#391	1	1	yes	characteristic
385	C₈	#391	1	1	yes	characteristic
386	C₈	#391	1	1	yes	characteristic
387	C₈	#391	1	1	yes	characteristic
388	C₈	#393	1	1	yes	characteristic
389	C₈	#393	1	1	yes	characteristic
390	C₈	#395	1	1	yes	characteristic
391	C₈	#395	1	1	yes	characteristic
392	C₂²	—	2	1	no	—
393	C₂²	—	2	1	no	—
394	C₂²	—	2	1	no	—
395	C₂²	—	2	1	no	—
396	C₂²	—	2	1	no	—
397	C₂²	—	2	1	no	—
398	C₂²	—	2	1	no	—
399	C₂²	—	2	1	no	—
400	C₂²	—	2	1	no	—
401	C₂²	—	2	1	no	—
402	C₂²	—	2	1	no	—
403	C₂²	—	2	1	no	—
404	C₂²	#1786	1	1	yes	characteristic
405	C₂²	#1987	1	1	yes	characteristic
406	C₂²	#1993	1	1	yes	characteristic
407	C₂²	#2023	1	1	yes	characteristic
408	C₂²	#2024	1	1	yes	characteristic
409	C₂²	#2057	1	1	yes	characteristic
410	C₂²	#2058	1	1	yes	characteristic
411	C₂²	#2192	1	1	yes	characteristic
412	C₂²	#2193	1	1	yes	characteristic
413	C₂²	#2194	1	1	yes	characteristic
414	C₂²	#2195	1	1	yes	characteristic
415	C₄	—	4	2	no	—
416	C₄	—	4	2	no	—
417	C₄	—	8	4	no	—
418	C₄	—	8	2	no	—
419	C₄	—	8	2	no	—
420	C₄	—	16	2	no	—
421	C₄	#1446	1	1	yes	characteristic
422	C₄	#1787	1	1	yes	characteristic
423	C₄	#1988	1	1	yes	characteristic
424	C₄	#1990	1	1	yes	characteristic
425	C₄	#2023	1	1	yes	characteristic
426	C₄	#2024	1	1	yes	characteristic
427	C₄	#2057	1	1	yes	characteristic
428	C₄	#2058	1	1	yes	characteristic
429	C₂	—	2	1	no	—
430	C₂	—	2	1	no	—
431	C₂	—	2	1	no	—
432	C₂	—	2	1	no	—
433	C₂	#11384	1	1	yes	characteristic
434	C₂	#12748	1	1	yes	characteristic
435	C₂	#12749	1	1	yes	characteristic
436	C₂	#13369	1	1	yes	characteristic
437	C₂	#13370	1	1	yes	characteristic
438	C₂	#13455	1	1	yes	characteristic
439	C₂	#13456	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	#447
commutator	C₂²×C₈	C₂²×C₄
Frattini, cosocle	C₂³×C₈	C₂³
prime radical	C₂⁴	AGL(1,ℤ/8)
LCS	G ▷ C₂²×C₈ ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₂³×C₄ ◁ C₂×#405 ◁ G
LECS	G ▷ C₂³×C₈ ▷ C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
14. #3164	C₄	semidirect
53. C₂×M₃₂	Q₈	semidirect
61. C₂²×C₁₆	Q₈	semidirect
73. C₂×#108	Q₈	semidirect
94. C₂×#107	Q₈	semidirect

Maximal subgroups

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

subgroup	index
C₂×#3164	2
C₂×#1387	2
C₂×#1382	2
#12557	2
C₂×#1380	2
C₂×#1379	2
#10870	2