Subgroups — Q₈×#14556503 #33102497

Order 18688.

1356 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₄×Q₈×D₇₃	C₂	1	1	yes	maximal, characteristic
2	C₂×Q₈×#10596831	C₂	1	1	yes	maximal, characteristic, complemented
3	#22610867	C₂	1	3	yes	maximal, complemented
4	#22610866	C₂	1	3	yes	maximal, complemented
5	#22609908	C₂	1	3	yes	maximal
6	C₄×#14556503	C₂	1	3	yes	maximal
7	C₂×C₈×Q₈×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂²×Q₈×D₇₃	C₄	1	1	yes	characteristic
9	C₂×Q₈×Dic₇₃	C₄	1	1	yes	characteristic
10	C₂×C₄×Dic₁₄₆	C₂²	1	3	yes	—
11	C₂×#14556556	C₄	1	3	yes	—
12	C₄×Q₈×D₇₃	—	2	4	no	—
13	C₄×Q₈×D₇₃	—	2	4	no	—
14	C₂×C₄⋊C₄×D₇₃	C₄	1	3	yes	—
15	C₂×C₄²×D₇₃	C₂²	1	3	yes	—
16	Q₈×#10596831	—	2	4	no	—
17	C₂×C₄⋊#10596831	C₂²	1	3	yes	—
18	C₂×#14556503	C₂²	1	3	yes	—
19	C₂×#14556503	C₂²	1	1	yes	characteristic
20	C₂×C₄×#10596831	C₂²	1	3	yes	—
21	#17988341	C₂²	1	3	yes	—
22	#17988341	C₂²	1	3	yes	—
23	#17988341	C₂²	1	6	yes	—
24	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
25	C₈×Q₈×C₇₃	—	2	4	no	—
26	C₂×C₄⋊C₈×C₇₃	C₂²	1	3	yes	—
27	C₂×C₄×C₈×C₇₃	C₂²	1	3	yes	—
28	C₂²×Dic₁₄₆	C₂×C₄	1	3	yes	—
29	C₂×Q₈×D₇₃	—	2	4	no	—
30	C₂×Q₈×D₇₃	—	2	4	no	—
31	C₂×Q₈×D₇₃	C₈	1	8	yes	complemented
32	C₂²×C₄×D₇₃	C₂×C₄	1	3	yes	—
33	C₂²×C₄×D₇₃	C₂×C₄	1	3	yes	—
34	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
35	C₂²×#10596831	C₂³	1	3	yes	—
36	C₂²×#10596831	C₂³	1	1	yes	characteristic
37	Q₈×Dic₇₃	—	2	4	no	—
38	C₄×Dic₁₄₆	—	2	6	no	—
39	C₄×Dic₁₄₆	—	2	6	no	—
40	#14556556	—	2	12	no	—
41	C₂×C₄⋊Dic₇₃	C₂×C₄	1	3	yes	—
42	C₂×#11924007	C₂×C₄	1	6	yes	—
43	C₄⋊C₄×D₇₃	—	2	12	no	—
44	C₂×C₄×Dic₇₃	C₂×C₄	1	3	yes	—
45	C₂×C₄×Dic₇₃	C₂×C₄	1	3	yes	—
46	C₂×C₄×Dic₇₃	C₂³	1	3	yes	—
47	C₄²×D₇₃	—	2	6	no	—
48	C₄²×D₇₃	—	2	6	no	—
49	C₄⋊#10596831	—	2	6	no	—
50	#14556503	—	2	6	no	—
51	#14556503	Q₈	1	4	yes	direct product factor
52	C₄×#10596831	—	2	6	no	—
53	C₂²×Q₈×C₇₃	C₂×C₄	1	1	yes	characteristic
54	C₂²×C₈×C₇₃	C₂³	1	3	yes	—
55	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
56	C₄×Q₈×C₇₃	D₄	1	4	yes	—
57	C₄×Q₈×C₇₃	D₄	1	4	yes	—
58	C₂×C₄⋊C₄×C₇₃	C₂×C₄	1	3	yes	—
59	C₂×C₄²×C₇₃	C₂³	1	3	yes	—
60	C₄⋊C₈×C₇₃	—	2	6	no	—
61	C₄×C₈×C₇₃	—	2	6	no	—
62	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
63	C₂×Dic₁₄₆	—	2	6	no	—
64	C₂×Dic₁₄₆	—	2	6	no	—
65	C₂×Dic₁₄₆	C₂×C₈	1	12	yes	—
66	Q₈×D₇₃	—	2	32	no	—
67	C₂²×Dic₇₃	C₂²×C₄	1	3	yes	—
68	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
69	C₂²×Dic₇₃	C₂²×C₄	1	3	yes	—
70	C₂×C₄×D₇₃	—	2	6	no	—
71	C₂×C₄×D₇₃	—	2	6	no	—
72	C₂×C₄×D₇₃	—	2	1	no	—
73	C₂×C₄×D₇₃	—	2	1	no	—
74	C₂×C₄×D₇₃	—	2	1	no	—
75	C₂×C₄×D₇₃	—	2	1	no	—
76	C₂×C₄×D₇₃	—	2	6	no	—
77	C₂×C₄×D₇₃	—	2	6	no	—
78	C₂×C₄×D₇₃	—	4	3	no	—
79	C₂×C₄×D₇₃	C₂×C₈	1	12	yes	—
80	C₂×C₄×D₇₃	C₂×Q₈	1	2	yes	—
81	C₂×C₄×D₇₃	#41	1	2	yes	—
82	C₂×#10596831	—	2	1	no	—
83	C₂×#10596831	—	2	1	no	—
84	C₂×#10596831	—	2	3	no	—
85	C₂×#10596831	—	2	3	no	—
86	C₂×#10596831	—	2	3	no	—
87	C₂×#10596831	C₂×Q₈	1	2	yes	complemented
88	C₄⋊Dic₇₃	—	2	6	no	—
89	#11924007	—	2	12	no	—
90	C₄×Dic₇₃	—	2	6	no	—
91	C₄×Dic₇₃	—	2	6	no	—
92	C₄×Dic₇₃	—	2	3	no	—
93	C₄×Dic₇₃	—	2	3	no	—
94	C₂×Q₈×C₇₃	C₂²⋊C₄	1	4	yes	—
95	C₂×Q₈×C₇₃	C₂×C₈	1	4	yes	—
96	C₂×Q₈×C₇₃	M₁₆	1	4	yes	—
97	C₂²×C₄×C₇₃	C₂²×C₄	1	3	yes	—
98	C₂²×C₄×C₇₃	C₂²×C₄	1	3	yes	—
99	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
100	C₂×C₈×C₇₃	—	2	1	no	—
101	C₂×C₈×C₇₃	—	2	1	no	—
102	C₂×C₈×C₇₃	—	2	3	no	—
103	C₂×C₈×C₇₃	—	2	3	no	—
104	C₂×C₈×C₇₃	—	2	3	no	—
105	C₂×C₈×C₇₃	C₂×Q₈	1	2	yes	complemented
106	C₄⋊C₄×C₇₃	C₂²⋊C₄	1	12	yes	—
107	C₄²×C₇₃	C₂×D₄	1	6	yes	—
108	C₄²×C₇₃	C₂×D₄	1	6	yes	—
109	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
110	C₂²×D₇₃	—	2	1	no	—
111	C₂²×D₇₃	—	2	1	no	—
112	C₂²×D₇₃	—	2	1	no	—
113	C₂²×D₇₃	—	2	1	no	—
114	C₂²×D₇₃	C₄×Q₈	1	2	yes	—
115	C₂²×D₇₃	C₂²×C₈	1	2	yes	—
116	C₂²×D₇₃	#131	1	2	yes	—
117	Q₈×C₇₃	C₂²⋊C₈	1	16	yes	complemented
118	C₂×C₄×C₇₃	—	2	3	no	—
119	C₂×C₄×C₇₃	—	2	3	no	—
120	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	6	yes	—
121	C₂×C₄×C₇₃	C₂×C₂²⋊C₄	1	6	yes	—
122	C₂×C₄×C₇₃	C₂²×C₈	1	6	yes	—
123	C₂×C₄×C₇₃	C₂×M₁₆	1	6	yes	—
124	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
125	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
126	C₂×C₄×C₇₃	C₂²×Q₈	1	1	yes	characteristic
127	C₂×C₄×C₇₃	C₂×#41	1	1	yes	characteristic
128	C₂×C₄×C₇₃	2₋¹⁺⁴	1	1	yes	characteristic
129	C₂×C₄×C₇₃	2₋¹⁺⁴	1	1	yes	characteristic
130	C₂×Dic₇₃	—	2	1	no	—
131	C₂×Dic₇₃	—	2	3	no	—
132	C₂×Dic₇₃	—	2	1	no	—
133	C₂×Dic₇₃	—	2	3	no	—
134	C₂×Dic₇₃	—	2	3	no	—
135	C₂×Dic₇₃	—	2	3	no	—
136	C₂×Dic₇₃	—	2	3	no	—
137	C₂×Dic₇₃	C₄×Q₈	1	2	yes	—
138	C₂×Dic₇₃	C₂²×C₈	1	6	yes	—
139	C₄×D₇₃	—	2	2	no	—
140	C₄×D₇₃	—	2	2	no	—
141	C₄×D₇₃	—	2	2	no	—
142	C₄×D₇₃	—	2	2	no	—
143	C₄×D₇₃	—	2	24	no	—
144	C₄×D₇₃	—	4	12	no	—
145	Dic₁₄₆	—	2	24	no	—
146	C₈×C₇₃	—	2	2	no	—
147	C₈×C₇₃	—	4	3	no	—
148	#10596831	—	2	2	no	—
149	#10596831	—	4	3	no	—
150	C₂²×C₇₃	C₂²×C₂²⋊C₄	1	1	yes	characteristic
151	C₂²×C₇₃	C₂×C₄×Q₈	1	1	yes	characteristic
152	C₂²×C₇₃	#519	1	1	yes	characteristic
153	C₂²×C₇₃	C₂³×C₈	1	1	yes	characteristic
154	C₂²×C₇₃	C₂²×M₁₆	1	1	yes	characteristic
155	C₂²×C₇₃	C₂×#131	1	1	yes	characteristic
156	C₂²×C₇₃	#568	1	1	yes	characteristic
157	C₂×D₇₃	—	2	2	no	—
158	C₂×D₇₃	—	2	2	no	—
159	C₂×D₇₃	—	2	2	no	—
160	C₂×D₇₃	—	2	2	no	—
161	C₂×D₇₃	—	2	2	no	—
162	C₂×D₇₃	—	2	2	no	—
163	C₂×D₇₃	C₈×Q₈	1	4	yes	complemented
164	C₄×C₇₃	—	2	6	no	—
165	C₄×C₇₃	C₂×C₂²⋊C₈	1	12	yes	—
166	C₄×C₇₃	#548	1	1	yes	characteristic
167	C₄×C₇₃	#548	1	1	yes	characteristic
168	C₄×C₇₃	D₄×Q₈	1	1	yes	characteristic
169	C₄×C₇₃	D₄×Q₈	1	1	yes	characteristic
170	Dic₇₃	—	2	2	no	—
171	Dic₇₃	—	2	6	no	—
172	Dic₇₃	—	4	3	no	—
173	Q₈×C₂²⋊C₈	—	73	1	no	maximal, Sylow
174	C₂×C₇₃	Q₈×C₂²⋊C₄	1	1	yes	characteristic
175	C₂×C₇₃	C₂²×C₂²⋊C₈	1	1	yes	characteristic
176	C₂×C₇₃	#2880	1	1	yes	characteristic
177	C₂×C₇₃	C₂×C₈×Q₈	1	1	yes	characteristic
178	C₂×C₇₃	Q₈×M₁₆	1	1	yes	characteristic
179	C₂×C₇₃	#2982	1	1	yes	characteristic
180	C₂×C₇₃	#2984	1	1	yes	characteristic
181	D₇₃	—	2	4	no	—
182	C₂²×C₄×Q₈	—	73	1	no	—
183	C₂×C₈×Q₈	—	73	1	no	—
184	C₂×C₈×Q₈	D₇₃	1	1	yes	characteristic, complemented
185	#1984	—	73	3	no	—
186	#1984	—	73	3	no	—
187	#1797	—	73	3	no	—
188	C₄×C₂²⋊C₈	—	73	3	no	—
189	C₇₃	Q₈×C₂²⋊C₈	1	1	yes	characteristic, complemented, Sylow
190	C₂³×Q₈	—	73	1	no	—
191	C₂×C₄×Q₈	—	73	1	no	—
192	C₂×C₄×Q₈	—	73	3	no	—
193	C₂×C₄×Q₈	—	73	3	no	—
194	C₂×C₄×Q₈	—	146	4	no	—
195	C₂×C₄×Q₈	—	146	4	no	—
196	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic
197	C₂²×C₄⋊C₄	—	73	3	no	—
198	C₂²×C₄²	—	73	3	no	—
199	C₈×Q₈	—	2	4	no	—
200	C₈×Q₈	—	146	4	no	—
201	C₂×C₄⋊C₈	—	73	3	no	—
202	C₂×C₄⋊C₈	C₂×D₇₃	1	3	yes	—
203	C₂×C₂²⋊C₈	—	73	1	no	—
204	C₂×C₂²⋊C₈	—	73	3	no	—
205	C₂×C₄×C₈	—	73	3	no	—
206	C₂×C₄×C₈	C₂×D₇₃	1	3	yes	—
207	#336	—	73	6	no	—
208	#336	—	73	3	no	—
209	#336	—	73	3	no	—
210	C₂²×Q₈	—	73	8	no	—
211	C₂²×Q₈	—	73	3	no	—
212	C₂²×Q₈	—	146	4	no	—
213	C₂²×Q₈	—	146	4	no	—
214	C₂²×Q₈	C₄×D₇₃	1	1	yes	characteristic
215	C₂³×C₄	—	73	3	no	—
216	C₂³×C₄	—	73	3	no	—
217	C₂³×C₄	—	73	1	no	—
218	C₂²×C₈	—	73	1	no	—
219	C₂²×C₈	—	73	3	no	—
220	C₂²×C₈	C₂²×D₇₃	1	3	yes	—
221	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
222	C₄×Q₈	—	146	4	no	—
223	C₄×Q₈	—	146	12	no	—
224	C₄×Q₈	—	146	6	no	—
225	C₄×Q₈	—	146	6	no	—
226	C₄×Q₈	D₂₉₂	1	4	yes	—
227	C₄×Q₈	C₂²⋊D₇₃	1	4	yes	—
228	C₂×C₄⋊C₄	—	73	6	no	—
229	C₂×C₄⋊C₄	—	73	3	no	—
230	C₂×C₄⋊C₄	—	146	12	no	—
231	C₂×C₄⋊C₄	C₄×D₇₃	1	3	yes	—
232	C₂×C₄²	—	73	3	no	—
233	C₂×C₄²	—	73	3	no	—
234	C₂×C₄²	—	73	3	no	—
235	C₂×C₄²	—	146	6	no	—
236	C₂×C₄²	—	146	6	no	—
237	C₂×C₄²	C₂²×D₇₃	1	3	yes	—
238	C₄⋊C₈	—	2	6	no	—
239	C₄⋊C₈	—	146	6	no	—
240	C₂²⋊C₈	—	73	4	no	—
241	C₂²⋊C₈	—	146	6	no	—
242	C₄×C₈	—	2	6	no	—
243	C₄×C₈	—	146	6	no	—
244	C₂⁴	—	73	1	no	—
245	C₂×Q₈	—	73	12	no	—
246	C₂×Q₈	—	146	32	no	—
247	C₂×Q₈	—	146	6	no	—
248	C₂×Q₈	—	146	6	no	—
249	C₂×Q₈	#11924005	1	4	yes	—
250	C₂×Q₈	C₈×D₇₃	1	4	yes	—
251	C₂×Q₈	#11924011	1	4	yes	—
252	C₂²×C₄	—	292	3	no	—
253	C₂²×C₄	—	73	1	no	—
254	C₂²×C₄	—	73	3	no	—
255	C₂²×C₄	—	73	12	no	—
256	C₂²×C₄	—	73	2	no	—
257	C₂²×C₄	—	73	2	no	—
258	C₂²×C₄	—	73	3	no	—
259	C₂²×C₄	—	146	6	no	—
260	C₂²×C₄	—	146	6	no	—
261	C₂²×C₄	—	146	6	no	—
262	C₂²×C₄	—	146	6	no	—
263	C₂²×C₄	—	146	1	no	—
264	C₂²×C₄	—	146	1	no	—
265	C₂²×C₄	—	146	1	no	—
266	C₂²×C₄	—	146	1	no	—
267	C₂²×C₄	C₂×C₄×D₇₃	1	3	yes	—
268	C₂²×C₄	C₂×C₄×D₇₃	1	3	yes	—
269	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
270	C₂×C₈	—	2	1	no	—
271	C₂×C₈	—	2	1	no	—
272	C₂×C₈	—	2	3	no	—
273	C₂×C₈	—	2	3	no	—
274	C₂×C₈	—	2	3	no	—
275	C₂×C₈	—	73	2	no	—
276	C₂×C₈	—	146	3	no	—
277	C₂×C₈	—	146	3	no	—
278	C₂×C₈	—	146	3	no	—
279	C₂×C₈	—	146	1	no	—
280	C₂×C₈	—	146	1	no	—
281	C₂×C₈	Q₈×D₇₃	1	2	yes	complemented
282	C₄⋊C₄	—	146	12	no	—
283	C₄⋊C₄	—	146	6	no	—
284	C₄⋊C₄	#11924005	1	12	yes	—
285	C₄²	—	146	6	no	—
286	C₄²	—	146	6	no	—
287	C₄²	—	146	3	no	—
288	C₄²	—	146	3	no	—
289	C₄²	C₂×C₂²⋊D₇₃	1	6	yes	—
290	C₄²	C₂×D₂₉₂	1	6	yes	—
291	C₂³	—	73	2	no	—
292	C₂³	—	73	2	no	—
293	C₂³	—	73	2	no	—
294	C₂³	—	146	1	no	—
295	C₂³	—	146	1	no	—
296	C₂³	—	146	1	no	—
297	C₂³	—	146	1	no	—
298	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
299	Q₈	—	146	24	no	—
300	Q₈	#14556503	1	16	yes	direct product factor
301	C₂×C₄	—	2	3	no	—
302	C₂×C₄	—	2	3	no	—
303	C₂×C₄	—	292	12	no	—
304	C₂×C₄	—	73	2	no	—
305	C₂×C₄	—	73	6	no	—
306	C₂×C₄	—	146	3	no	—
307	C₂×C₄	—	146	3	no	—
308	C₂×C₄	—	146	3	no	—
309	C₂×C₄	—	146	1	no	—
310	C₂×C₄	—	146	3	no	—
311	C₂×C₄	—	146	1	no	—
312	C₂×C₄	—	146	3	no	—
313	C₂×C₄	—	146	2	no	—
314	C₂×C₄	—	146	2	no	—
315	C₂×C₄	—	146	2	no	—
316	C₂×C₄	—	146	2	no	—
317	C₂×C₄	—	146	24	no	—
318	C₂×C₄	C₂×#11924005	1	6	yes	—
319	C₂×C₄	C₂×#11924005	1	6	yes	—
320	C₂×C₄	C₂×C₈×D₇₃	1	6	yes	—
321	C₂×C₄	C₂×#11924011	1	6	yes	—
322	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
323	C₂×C₄	C₂²×D₂₉₂	1	1	yes	characteristic
324	C₂×C₄	C₂×Q₈×D₇₃	1	1	yes	characteristic
325	C₂×C₄	#41×D₇₃	1	1	yes	characteristic
326	C₂×C₄	#14556638	1	1	yes	characteristic
327	C₂×C₄	#14556639	1	1	yes	characteristic
328	C₈	—	2	2	no	—
329	C₈	—	4	3	no	—
330	C₈	—	292	3	no	—
331	C₈	—	146	2	no	—
332	C₂²	—	73	4	no	—
333	C₂²	—	146	2	no	—
334	C₂²	—	146	2	no	—
335	C₂²	—	146	2	no	—
336	C₂²	—	146	2	no	—
337	C₂²	—	146	2	no	—
338	C₂²	—	146	2	no	—
339	C₂²	C₂²×#11924005	1	1	yes	characteristic
340	C₂²	C₄×Q₈×D₇₃	1	1	yes	characteristic
341	C₂²	#17989063	1	1	yes	characteristic
342	C₂²	C₂²×C₈×D₇₃	1	1	yes	characteristic
343	C₂²	C₂²×#11924011	1	1	yes	characteristic
344	C₂²	#131×D₇₃	1	1	yes	characteristic
345	C₂²	#17989352	1	1	yes	characteristic
346	C₄	—	2	6	no	—
347	C₄	—	292	3	no	—
348	C₄	—	146	2	no	—
349	C₄	—	146	6	no	—
350	C₄	C₂×#14556503	1	12	yes	—
351	C₄	#17989244	1	1	yes	characteristic
352	C₄	#17989249	1	1	yes	characteristic
353	C₄	Q₈×C₂²⋊D₇₃	1	1	yes	characteristic
354	C₄	Q₈×D₂₉₂	1	1	yes	characteristic
355	C₂	—	146	4	no	—
356	C₂	Q₈×#11924005	1	1	yes	characteristic
357	C₂	C₂²×#14556503	1	1	yes	characteristic
358	C₂	#22618378	1	1	yes	characteristic
359	C₂	C₈×Q₈×D₇₃	1	1	yes	characteristic
360	C₂	Q₈×#11924011	1	1	yes	characteristic
361	C₂	#22619010	1	1	yes	characteristic
362	C₂	#22619019	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²×C₄	C₂³×D₇₃
commutator	C₂²×C₇₃	C₂³×C₈
Fitting	C₂×C₈×Q₈×C₇₃	C₂
socle	C₂³×C₇₃	C₂³×C₄
prime radical	C₂³×D₇₃	C₂²×C₄
cosocle	C₂²×C₄×C₇₃	C₂⁴
hypercenter	C₂×C₈×Q₈	D₇₃
hypocenter	C₇₃	Q₈×C₂²⋊C₈
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₈×Q₈

Complements

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

N	H ≅ G/N	type
2. C₂×Q₈×#10596831	C₂	semidirect
3. #22610867	C₂	semidirect
4. #22610866	C₂	semidirect
7. C₂×C₈×Q₈×C₇₃	C₂	semidirect
31. C₂×Q₈×D₇₃	C₈	semidirect
51. #14556503	Q₈	direct (N × H)
87. C₂×#10596831	C₂×Q₈	semidirect
105. C₂×C₈×C₇₃	C₂×Q₈	semidirect
117. Q₈×C₇₃	C₂²⋊C₈	semidirect
163. C₂×D₇₃	C₈×Q₈	semidirect
184. C₂×C₈×Q₈	D₇₃	semidirect
189. C₇₃	Q₈×C₂²⋊C₈	semidirect
281. C₂×C₈	Q₈×D₇₃	semidirect
300. Q₈	#14556503	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₄×Q₈×D₇₃	2
C₂×Q₈×#10596831	2
#22610867	2
#22610866	2
#22609908	2
C₄×#14556503	2
C₂×C₈×Q₈×C₇₃	2
Q₈×C₂²⋊C₈	73

Subgroups — Q8×#14556503 #33102497

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — Q₈×#14556503 #33102497