Subgroups — Q₃₂×C₂²⋊D₄₃ #25253321

Order 11008.

664 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×Q₃₂×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
2	Q₁₆×C₂²⋊D₄₃	C₂	1	2	yes	maximal
3	#19136846	C₂	1	1	yes	maximal, characteristic, complemented
4	#19136686	C₂	1	1	yes	maximal, characteristic, complemented
5	#19136683	C₂	1	1	yes	maximal, characteristic, complemented
6	#19136643	C₂	1	2	yes	maximal, complemented
7	#19136529	C₂	1	2	yes	maximal, complemented
8	#19136527	C₂	1	2	yes	maximal, complemented
9	Q₃₂×Dic₄₃	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₆×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic
11	C₂²×Q₃₂×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×Q₁₆×D₄₃	C₂²	1	2	yes	—
13	Q₈×C₂²⋊D₄₃	—	2	2	no	—
14	C₂×Dic₃₄₄	C₂²	1	1	yes	characteristic
15	C₂×#13063271	C₂²	1	2	yes	—
16	C₂×#13063271	C₂²	1	2	yes	—
17	Q₃₂×D₄₃	—	2	4	no	—
18	C₂×C₁₆×D₄₃	C₂²	1	1	yes	characteristic
19	#14583277	C₂²	1	2	yes	—
20	#14583140	C₂²	1	2	yes	—
21	#14583137	C₂²	1	2	yes	—
22	#14583107	—	2	2	no	—
23	#14583055	—	2	2	no	—
24	#14583053	—	2	2	no	—
25	Q₁₆×Dic₄₃	C₂²	1	2	yes	—
26	C₈×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
27	#14582725	C₂²	1	1	yes	characteristic
28	Dic₄₃⋊C₁₆	C₂²	1	1	yes	characteristic
29	#14582704	C₂²	1	2	yes	—
30	#14582703	C₂²	1	2	yes	—
31	#14582703	C₂²	1	2	yes	—
32	C₂²⋊(C₄₃⋊C₁₆)	C₂²	1	1	yes	characteristic
33	(C₂×D₄₃)⋊C₁₆	C₂²	1	1	yes	characteristic
34	C₁₆×Dic₄₃	C₂²	1	1	yes	characteristic
35	C₂²×Q₁₆×C₄₃	C₂²	1	2	yes	—
36	C₂×Q₃₂×C₄₃	—	2	4	no	—
37	C₂×Q₃₂×C₄₃	C₂²	1	2	yes	—
38	C₂×Q₃₂×C₄₃	C₂²	1	1	yes	characteristic
39	C₂×Q₃₂×C₄₃	C₂²	1	1	yes	characteristic
40	C₂²×C₁₆×C₄₃	C₂²	1	1	yes	characteristic
41	C₂×Q₈×D₄₃	—	2	2	no	—
42	C₂×Dic₁₇₂	C₂³	1	2	yes	—
43	C₂×#10621885	—	2	2	no	—
44	C₂×#10621885	—	2	2	no	—
45	Q₁₆×D₄₃	—	2	4	no	—
46	Q₁₆×D₄₃	—	4	2	no	—
47	C₂×C₈×D₄₃	C₂³	1	1	yes	characteristic
48	#13063323	—	2	2	no	—
49	#13063323	—	4	2	no	—
50	#13063304	—	2	2	no	—
51	#13063304	—	4	2	no	—
52	#13063301	—	2	2	no	—
53	#13063301	—	4	2	no	—
54	Q₈×Dic₄₃	—	2	2	no	—
55	C₄×C₂²⋊D₄₃	—	4	2	no	—
56	C₄×C₂²⋊D₄₃	D₄	1	1	yes	characteristic
57	Dic₃₄₄	—	2	2	no	—
58	#13063271	—	2	4	no	—
59	#13063271	—	4	2	no	—
60	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
61	C₂×C₄₃⋊C₁₆	C₂³	1	1	yes	characteristic
62	C₁₆×D₄₃	—	2	2	no	—
63	#13063259	C₂³	1	2	yes	—
64	Dic₄₃⋊C₈	D₄	1	1	yes	characteristic
65	#13063250	—	2	2	no	—
66	#13063249	—	2	2	no	—
67	#13063249	—	2	2	no	—
68	C₂²⋊(C₄₃⋊C₈)	D₄	1	1	yes	characteristic
69	(C₂×D₄₃)⋊C₈	D₄	1	1	yes	characteristic
70	C₈×Dic₄₃	C₂³	1	1	yes	characteristic
71	C₂²×Q₈×C₄₃	—	2	2	no	—
72	C₂×Q₁₆×C₄₃	—	2	4	no	—
73	C₂×Q₁₆×C₄₃	—	2	2	no	—
74	C₂×Q₁₆×C₄₃	—	4	2	no	—
75	C₂×Q₁₆×C₄₃	C₂³	1	2	yes	—
76	C₂×Q₁₆×C₄₃	C₂³	1	2	yes	—
77	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
78	Q₃₂×C₄₃	—	2	4	no	—
79	Q₃₂×C₄₃	—	2	2	no	—
80	Q₃₂×C₄₃	D₄	1	4	yes	complemented
81	C₂×C₁₆×C₄₃	—	2	2	no	—
82	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
83	C₂×C₁₆×C₄₃	C₂³	1	1	yes	characteristic
84	C₂×Q₈×C₄₃	—	2	2	no	—
85	C₂×Q₈×C₄₃	—	2	2	no	—
86	C₂×Q₈×C₄₃	—	4	4	no	—
87	C₂×Q₈×C₄₃	—	4	2	no	—
88	C₂×Q₈×C₄₃	—	8	2	no	—
89	C₂²×C₄×C₄₃	—	4	2	no	—
90	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
91	C₂×C₂²⋊D₄₃	D₈	1	1	yes	characteristic
92	Q₈×D₄₃	—	4	4	no	—
93	Q₈×D₄₃	—	8	2	no	—
94	C₂×C₄×D₄₃	—	4	2	no	—
95	C₂×C₄×D₄₃	C₂×D₄	1	1	yes	characteristic
96	C₂×Dic₈₆	—	2	2	no	—
97	C₂×Dic₈₆	—	4	2	no	—
98	Q₁₆×C₄₃	—	2	2	no	—
99	Q₁₆×C₄₃	—	2	2	no	—
100	Q₁₆×C₄₃	—	2	2	no	—
101	Q₁₆×C₄₃	—	4	4	no	—
102	Q₁₆×C₄₃	C₂×D₄	1	4	yes	—
103	C₂×C₈×C₄₃	—	2	1	no	—
104	C₂×C₈×C₄₃	—	2	1	no	—
105	C₂×C₈×C₄₃	C₂×D₄	1	1	yes	characteristic
106	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
107	C₂²⋊Dic₄₃	—	4	2	no	—
108	C₂²⋊Dic₄₃	D₈	1	1	yes	characteristic
109	#10621885	—	4	4	no	—
110	#10621885	—	8	2	no	—
111	(C₂×D₄₃)⋊C₄	—	4	2	no	—
112	(C₂×D₄₃)⋊C₄	D₈	1	1	yes	characteristic
113	C₄⋊Dic₄₃	—	2	2	no	—
114	C₄⋊Dic₄₃	—	4	2	no	—
115	Dic₄₃⋊C₄	—	4	2	no	—
116	Dic₄₃⋊C₄	—	4	2	no	—
117	Dic₄₃⋊C₄	—	4	2	no	—
118	Dic₄₃⋊C₄	—	4	2	no	—
119	Dic₄₃⋊C₄	D₈	1	1	yes	characteristic
120	C₄×Dic₄₃	—	4	2	no	—
121	C₄×Dic₄₃	C₂×D₄	1	1	yes	characteristic
122	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
123	C₂×C₄₃⋊C₈	C₂×D₄	1	1	yes	characteristic
124	Dic₁₇₂	—	2	2	no	—
125	Dic₁₇₂	—	2	2	no	—
126	C₈×D₄₃	—	2	1	no	—
127	C₈×D₄₃	—	2	1	no	—
128	C₁₆×C₄₃	—	2	1	no	—
129	C₁₆×C₄₃	C₂×D₄	1	2	yes	—
130	C₄₃⋊C₁₆	—	2	1	no	—
131	C₄₃⋊C₁₆	—	2	1	no	—
132	C₂³×C₄₃	C₂×D₈	1	1	yes	characteristic
133	C₂²×D₄₃	C₂×D₈	1	1	yes	characteristic
134	Q₈×C₄₃	—	2	4	no	—
135	Q₈×C₄₃	—	4	2	no	—
136	Q₈×C₄₃	—	4	2	no	—
137	Q₈×C₄₃	—	4	2	no	—
138	Q₈×C₄₃	—	8	4	no	—
139	C₂×C₄×C₄₃	—	2	1	no	—
140	C₂×C₄×C₄₃	—	2	1	no	—
141	C₂×C₄×C₄₃	—	4	2	no	—
142	C₂×C₄×C₄₃	—	4	2	no	—
143	C₂×C₄×C₄₃	—	8	4	no	—
144	C₂×C₄×C₄₃	C₂×D₈	1	1	yes	characteristic
145	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
146	C₂²⋊D₄₃	Q₃₂	1	4	yes	direct product factor
147	C₂×Dic₄₃	—	4	2	no	—
148	C₂×Dic₄₃	—	4	2	no	—
149	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
150	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
151	C₂×Dic₄₃	C₂×D₈	1	1	yes	characteristic
152	C₄×D₄₃	—	2	1	no	—
153	C₄×D₄₃	—	2	1	no	—
154	C₄×D₄₃	—	8	4	no	—
155	Dic₈₆	—	4	2	no	—
156	Dic₈₆	—	4	2	no	—
157	Dic₈₆	—	8	4	no	—
158	C₈×C₄₃	—	2	1	no	—
159	C₈×C₄₃	C₂²×D₄	1	1	yes	characteristic
160	C₈×C₄₃	H(5,𝔽₂)	1	1	yes	characteristic
161	C₄₃⋊C₈	—	2	1	no	—
162	C₄₃⋊C₈	—	2	1	no	—
163	D₄×Q₃₂	—	43	1	no	maximal, Sylow
164	C₂²×C₄₃	—	2	1	no	—
165	C₂²×C₄₃	—	2	1	no	—
166	C₂²×C₄₃	C₂×Q₃₂	1	2	yes	complemented
167	C₂²×C₄₃	C₂²×D₈	1	1	yes	characteristic
168	C₂×D₄₃	—	2	1	no	—
169	C₂×D₄₃	—	2	1	no	—
170	C₂×D₄₃	C₂×Q₃₂	1	2	yes	complemented
171	C₄×C₄₃	—	2	1	no	—
172	C₄×C₄₃	—	4	4	no	—
173	C₄×C₄₃	—	8	2	no	—
174	C₄×C₄₃	D₄²	1	1	yes	characteristic
175	C₄×C₄₃	#576	1	1	yes	characteristic
176	Dic₄₃	—	2	1	no	—
177	Dic₄₃	—	2	1	no	—
178	Dic₄₃	—	8	2	no	—
179	Dic₄₃	—	8	2	no	—
180	Dic₄₃	C₂×Q₃₂	1	2	yes	complemented
181	C₂²×Q₃₂	—	43	1	no	—
182	C₂²×Q₃₂	D₄₃	1	1	yes	characteristic, complemented
183	D₄×Q₁₆	—	43	2	no	—
184	#2247	—	43	1	no	—
185	#2216	—	43	1	no	—
186	#2216	—	43	1	no	—
187	#2209	—	43	2	no	—
188	#2188	—	43	2	no	—
189	#2188	—	43	2	no	—
190	C₄×Q₃₂	—	43	1	no	—
191	D₄×C₁₆	—	43	1	no	—
192	C₂×C₄₃	—	2	2	no	—
193	C₂×C₄₃	D₄×D₈	1	1	yes	characteristic
194	C₂×C₄₃	C₂²×Q₃₂	1	1	yes	characteristic
195	C₂×C₄₃	#3417	1	1	yes	characteristic
196	D₄₃	—	2	2	no	—
197	C₂²×Q₁₆	—	43	2	no	—
198	C₂²×Q₁₆	C₂×D₄₃	1	2	yes	—
199	D₄×Q₈	—	86	2	no	—
200	C₂×Q₃₂	—	2	4	no	—
201	C₂×Q₃₂	—	43	2	no	—
202	C₂×Q₃₂	—	43	2	no	—
203	C₂×Q₃₂	—	43	1	no	—
204	C₂×Q₃₂	—	86	4	no	—
205	C₂×Q₃₂	C₂×D₄₃	1	2	yes	—
206	C₂×Q₃₂	C₂×D₄₃	1	1	yes	characteristic
207	C₂×Q₃₂	C₂×D₄₃	1	1	yes	characteristic
208	C₂²×C₁₆	—	43	1	no	—
209	C₂²×C₁₆	C₂×D₄₃	1	1	yes	characteristic
210	#494	—	43	2	no	—
211	#467	—	43	2	no	—
212	#467	—	43	2	no	—
213	#462	—	86	2	no	—
214	#451	—	86	2	no	—
215	#451	—	86	2	no	—
216	C₄×Q₁₆	—	43	2	no	—
217	C₈×D₄	—	43	1	no	—
218	#366	—	43	1	no	—
219	C₄⋊C₁₆	—	43	1	no	—
220	#358	—	43	2	no	—
221	#358	—	43	2	no	—
222	#358	—	43	2	no	—
223	C₂²⋊C₁₆	—	43	1	no	—
224	C₂²⋊C₁₆	—	43	1	no	—
225	C₄×C₁₆	—	43	1	no	—
226	C₄₃	D₄×Q₃₂	1	1	yes	characteristic, complemented, Sylow
227	C₂²×Q₈	—	2	2	no	—
228	C₂²×Q₈	—	86	2	no	—
229	C₂×Q₁₆	—	2	4	no	—
230	C₂×Q₁₆	—	2	2	no	—
231	C₂×Q₁₆	—	4	2	no	—
232	C₂×Q₁₆	—	43	2	no	—
233	C₂×Q₁₆	—	86	2	no	—
234	C₂×Q₁₆	—	86	2	no	—
235	C₂×Q₁₆	—	86	4	no	—
236	C₂×Q₁₆	—	172	2	no	—
237	C₂×Q₁₆	C₂²×D₄₃	1	2	yes	—
238	C₂×Q₁₆	C₂²×D₄₃	1	2	yes	—
239	C₂²×C₈	—	43	1	no	—
240	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
241	C₄⋊Q₈	—	86	2	no	—
242	C₄⋊Q₈	—	172	2	no	—
243	C₂²⋊Q₈	—	86	2	no	—
244	C₂²⋊Q₈	—	86	2	no	—
245	C₂²⋊Q₈	—	172	2	no	—
246	C₂²⋊Q₈	—	172	2	no	—
247	C₄×Q₈	—	86	2	no	—
248	C₄×D₄	—	43	1	no	—
249	C₄×D₄	—	172	2	no	—
250	Q₃₂	—	2	4	no	—
251	Q₃₂	—	2	2	no	—
252	Q₃₂	—	86	4	no	—
253	Q₃₂	—	86	2	no	—
254	Q₃₂	—	172	2	no	—
255	Q₃₂	C₂²⋊D₄₃	1	4	yes	direct product factor
256	C₂×C₁₆	—	2	2	no	—
257	C₂×C₁₆	—	43	1	no	—
258	C₂×C₁₆	—	43	1	no	—
259	C₂×C₁₆	—	86	2	no	—
260	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
261	C₂×C₁₆	C₂²×D₄₃	1	1	yes	characteristic
262	#107	—	43	2	no	—
263	C₄⋊C₈	—	43	1	no	—
264	#103	—	86	2	no	—
265	#103	—	86	2	no	—
266	#103	—	86	2	no	—
267	C₂²⋊C₈	—	43	1	no	—
268	C₂²⋊C₈	—	43	1	no	—
269	C₄×C₈	—	43	1	no	—
270	C₂×Q₈	—	2	2	no	—
271	C₂×Q₈	—	2	2	no	—
272	C₂×Q₈	—	4	4	no	—
273	C₂×Q₈	—	4	2	no	—
274	C₂×Q₈	—	8	2	no	—
275	C₂×Q₈	—	86	2	no	—
276	C₂×Q₈	—	344	2	no	—
277	C₂×Q₈	—	172	2	no	—
278	C₂×Q₈	—	172	4	no	—
279	C₂×D₄	—	43	1	no	—
280	C₂²×C₄	—	4	2	no	—
281	C₂²×C₄	—	43	1	no	—
282	C₂²×C₄	—	172	2	no	—
283	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
284	Q₁₆	—	2	2	no	—
285	Q₁₆	—	2	2	no	—
286	Q₁₆	—	2	2	no	—
287	Q₁₆	—	4	4	no	—
288	Q₁₆	—	86	2	no	—
289	Q₁₆	—	86	2	no	—
290	Q₁₆	—	344	2	no	—
291	Q₁₆	—	172	4	no	—
292	Q₁₆	C₂×C₂²⋊D₄₃	1	4	yes	—
293	C₂×C₈	—	2	1	no	—
294	C₂×C₈	—	2	1	no	—
295	C₂×C₈	—	43	1	no	—
296	C₂×C₈	—	43	1	no	—
297	C₂×C₈	—	86	1	no	—
298	C₂×C₈	—	86	1	no	—
299	C₂×C₈	D₄×D₄₃	1	1	yes	characteristic
300	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
301	C₄⋊C₄	—	43	1	no	—
302	C₄⋊C₄	—	86	2	no	—
303	C₄⋊C₄	—	172	2	no	—
304	C₄⋊C₄	—	172	2	no	—
305	C₄⋊C₄	—	172	2	no	—
306	C₄⋊C₄	—	172	2	no	—
307	C₄⋊C₄	—	172	2	no	—
308	C₂²⋊C₄	—	43	1	no	—
309	C₂²⋊C₄	—	43	1	no	—
310	C₂²⋊C₄	—	172	2	no	—
311	C₂²⋊C₄	—	172	2	no	—
312	C₄²	—	43	1	no	—
313	C₄²	—	172	2	no	—
314	C₁₆	—	2	1	no	—
315	C₁₆	—	86	1	no	—
316	C₁₆	—	86	1	no	—
317	C₁₆	C₂×C₂²⋊D₄₃	1	2	yes	—
318	C₂³	—	43	1	no	—
319	C₂³	D₈×D₄₃	1	1	yes	characteristic
320	Q₈	—	2	4	no	—
321	Q₈	—	4	2	no	—
322	Q₈	—	4	2	no	—
323	Q₈	—	4	2	no	—
324	Q₈	—	8	4	no	—
325	Q₈	—	344	4	no	—
326	Q₈	—	172	2	no	—
327	Q₈	—	172	2	no	—
328	D₄	—	43	4	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	8	4	no	—
334	C₂×C₄	—	43	1	no	—
335	C₂×C₄	—	43	1	no	—
336	C₂×C₄	—	43	1	no	—
337	C₂×C₄	—	86	1	no	—
338	C₂×C₄	—	86	1	no	—
339	C₂×C₄	—	344	4	no	—
340	C₂×C₄	—	172	2	no	—
341	C₂×C₄	—	172	2	no	—
342	C₂×C₄	D₈×D₄₃	1	1	yes	characteristic
343	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
344	C₈	—	2	1	no	—
345	C₈	—	86	1	no	—
346	C₈	—	86	1	no	—
347	C₈	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
348	C₈	#13063370	1	1	yes	characteristic
349	C₂²	—	2	1	no	—
350	C₂²	—	2	1	no	—
351	C₂²	—	43	2	no	—
352	C₂²	—	86	1	no	—
353	C₂²	—	86	1	no	—
354	C₂²	Q₃₂×D₄₃	1	2	yes	complemented
355	C₂²	C₂×D₈×D₄₃	1	1	yes	characteristic
356	C₄	—	2	1	no	—
357	C₄	—	4	4	no	—
358	C₄	—	8	2	no	—
359	C₄	—	43	2	no	—
360	C₄	—	86	1	no	—
361	C₄	—	86	1	no	—
362	C₄	—	344	2	no	—
363	C₄	—	344	2	no	—
364	C₄	D₄×C₂²⋊D₄₃	1	1	yes	characteristic
365	C₄	#14583700	1	1	yes	characteristic
366	C₂	—	2	2	no	—
367	C₂	—	86	2	no	—
368	C₂	D₈×C₂²⋊D₄₃	1	1	yes	characteristic
369	C₂	C₂×Q₃₂×D₄₃	1	1	yes	characteristic
370	C₂	#19147744	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂×D₈×D₄₃
commutator, cosocle	C₂×C₈×C₄₃	C₂⁴
Frattini	C₂×C₈	C₂³×D₄₃
Fitting	C₂²×Q₃₂×C₄₃	C₂
socle	C₂²×C₄₃	C₂²×D₈
prime radical	C₂×C₂²⋊D₄₃	D₈
hypercenter	C₂²×Q₃₂	D₄₃
hypocenter	C₄₃	D₄×Q₃₂
LCS	G ▷ C₂×C₈×C₄₃ ▷ C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂²×C₄ ◁ C₂²×C₈ ◁ C₂²×Q₃₂

Complements

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

N	H ≅ G/N	type
1. C₂×Q₃₂×D₄₃	C₂	semidirect
3. #19136846	C₂	semidirect
4. #19136686	C₂	semidirect
5. #19136683	C₂	semidirect
6. #19136643	C₂	semidirect
7. #19136529	C₂	semidirect
8. #19136527	C₂	semidirect
9. Q₃₂×Dic₄₃	C₂	semidirect
11. C₂²×Q₃₂×C₄₃	C₂	semidirect
80. Q₃₂×C₄₃	D₄	semidirect
146. C₂²⋊D₄₃	Q₃₂	direct (N × H)
166. C₂²×C₄₃	C₂×Q₃₂	semidirect
170. C₂×D₄₃	C₂×Q₃₂	semidirect
180. Dic₄₃	C₂×Q₃₂	semidirect
182. C₂²×Q₃₂	D₄₃	semidirect
226. C₄₃	D₄×Q₃₂	semidirect
255. Q₃₂	C₂²⋊D₄₃	direct (N × H)
354. C₂²	Q₃₂×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×Q₃₂×D₄₃	2
Q₁₆×C₂²⋊D₄₃	2
#19136846	2
#19136686	2
#19136683	2
#19136643	2
#19136529	2
#19136527	2
Q₃₂×Dic₄₃	2
C₁₆×C₂²⋊D₄₃	2
C₂²×Q₃₂×C₄₃	2
D₄×Q₃₂	43

Subgroups — Q32×C22⋊D43 #25253321

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — Q₃₂×C₂²⋊D₄₃ #25253321