Subgroups — C₂×#19134132 #25079242

Order 11008.

702 conjugacy classes of subgroups.

The subgroup lattice has 390 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583191	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×#14583096	C₂	1	1	yes	maximal, characteristic
3	C₂×#14583029	C₂	1	1	yes	maximal, characteristic, complemented
4	#19134132	C₂	1	8	yes	maximal, direct product factor
5	C₂×#14582652	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14582648	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14582643	C₂	1	1	yes	maximal, characteristic
8	C₂×C₄₃×#486	C₂	1	1	yes	maximal, characteristic
9	C₂²×#10621883	—	2	1	no	—
10	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic
11	#14583191	—	2	2	no	—
12	#14583191	C₂²	1	4	yes	complemented
13	#14583096	—	2	2	no	—
14	#14583096	C₂²	1	4	yes	—
15	#14583029	—	2	2	no	—
16	#14583029	C₂²	1	4	yes	complemented
17	C₂×#13063258	—	2	1	no	—
18	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
19	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
20	C₂×C₄⋊(C₄₃⋊C₈)	C₂²	1	1	yes	characteristic
21	C₂×Dic₄₃⋊C₈	—	2	1	no	—
22	C₂×#13063248	—	2	1	no	—
23	C₂×#13063246	—	2	1	no	—
24	C₂×#13063235	—	2	1	no	—
25	#14582652	C₂²	1	4	yes	complemented
26	#14582648	C₂²	1	4	yes	complemented
27	#14582643	C₂²	1	4	yes	—
28	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic
29	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic
30	C₄₃×#486	—	2	2	no	—
31	C₄₃×#486	C₂²	1	4	yes	—
32	C₂×#102×C₄₃	—	2	1	no	—
33	C₂×#102×C₄₃	—	2	1	no	—
34	C₂×C₄×C₈×C₄₃	C₂²	1	1	yes	characteristic
35	C₂²×Dic₈₆	D₄	1	1	yes	characteristic
36	C₂×#10621883	—	2	4	no	—
37	C₂×#10621883	—	4	4	no	—
38	C₂²×C₄₃⋊C₈	—	2	1	no	—
39	C₂²×C₄₃⋊C₈	—	2	1	no	—
40	C₂²×C₄₃⋊C₈	—	2	1	no	—
41	C₄×Dic₈₆	—	2	1	no	—
42	C₄×Dic₈₆	—	2	1	no	—
43	C₄×Dic₈₆	D₄	1	2	yes	—
44	C₄×Dic₈₆	C₂³	1	2	yes	—
45	C₂×C₄⋊Dic₄₃	D₄	1	1	yes	characteristic
46	C₂×Dic₄₃⋊C₄	—	2	1	no	—
47	C₂×C₄×Dic₄₃	—	2	1	no	—
48	#13063258	—	2	4	no	—
49	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
50	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
51	C₄⋊(C₄₃⋊C₈)	—	2	1	no	—
52	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
53	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
54	C₄⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
55	Dic₄₃⋊C₈	—	2	4	no	—
56	#13063248	—	2	4	no	—
57	#13063246	—	2	4	no	—
58	#13063235	—	2	4	no	—
59	C₂²×Q₈×C₄₃	—	2	1	no	—
60	C₂²×D₄×C₄₃	—	2	1	no	—
61	C₂²×D₄×C₄₃	—	2	1	no	—
62	C₂²×D₄×C₄₃	—	2	1	no	—
63	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
64	C₂²×C₈×C₄₃	D₄	1	1	yes	characteristic
65	C₄⋊Q₈×C₄₃	—	2	1	no	—
66	C₄⋊Q₈×C₄₃	—	2	1	no	—
67	C₄⋊Q₈×C₄₃	—	2	1	no	—
68	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
69	#127×C₄₃	—	2	1	no	—
70	#127×C₄₃	—	2	1	no	—
71	#127×C₄₃	—	2	1	no	—
72	#127×C₄₃	C₂³	1	2	yes	—
73	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
74	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
75	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
76	#102×C₄₃	—	2	4	no	—
77	#102×C₄₃	—	2	4	no	—
78	C₄×C₈×C₄₃	D₄	1	2	yes	—
79	C₄×C₈×C₄₃	C₂³	1	2	yes	—
80	C₂⁴×C₄₃	—	4	1	no	—
81	C₂×Q₈×C₄₃	—	2	2	no	—
82	C₂×Q₈×C₄₃	—	4	1	no	—
83	C₂×Q₈×C₄₃	—	8	2	no	—
84	C₂×D₄×C₄₃	—	2	2	no	—
85	C₂×D₄×C₄₃	—	2	2	no	—
86	C₂×D₄×C₄₃	—	2	2	no	—
87	C₂×D₄×C₄₃	—	4	1	no	—
88	C₂×D₄×C₄₃	—	4	1	no	—
89	C₂×D₄×C₄₃	—	4	1	no	—
90	C₂×D₄×C₄₃	—	4	2	no	—
91	C₂×D₄×C₄₃	—	4	2	no	—
92	C₂×D₄×C₄₃	—	4	2	no	—
93	C₂×D₄×C₄₃	—	4	2	no	—
94	C₂×D₄×C₄₃	—	8	2	no	—
95	C₂²×C₄×C₄₃	—	4	1	no	—
96	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₄₃	#41	1	1	yes	characteristic
99	C₂²×Dic₄₃	—	2	1	no	—
100	C₂²×Dic₄₃	—	2	1	no	—
101	C₂×Dic₈₆	—	2	2	no	—
102	C₂×Dic₈₆	—	2	2	no	—
103	C₂×Dic₈₆	—	2	1	no	—
104	C₂×Dic₈₆	C₂×D₄	1	2	yes	—
105	C₂×C₈×C₄₃	—	2	2	no	—
106	C₂×C₈×C₄₃	—	2	2	no	—
107	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
108	C₂×C₈×C₄₃	C₂×D₄	1	2	yes	—
109	C₄⋊C₄×C₄₃	—	2	2	no	—
110	C₄⋊C₄×C₄₃	—	2	2	no	—
111	C₄⋊C₄×C₄₃	—	4	1	no	—
112	C₄⋊C₄×C₄₃	—	4	1	no	—
113	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
114	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
115	C₄²×C₄₃	#41	1	1	yes	characteristic
116	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
117	#10621883	—	4	8	no	—
118	C₄⋊Dic₄₃	—	2	1	no	—
119	C₄⋊Dic₄₃	C₂×D₄	1	2	yes	—
120	Dic₄₃⋊C₄	—	2	2	no	—
121	Dic₄₃⋊C₄	—	2	2	no	—
122	C₄×Dic₄₃	—	2	2	no	—
123	C₄×Dic₄₃	—	2	2	no	—
124	C₂×C₄₃⋊C₈	—	2	2	no	—
125	C₂×C₄₃⋊C₈	—	2	2	no	—
126	C₂×C₄₃⋊C₈	—	2	2	no	—
127	C₂×C₄₃⋊C₈	—	4	2	no	—
128	C₂×C₄₃⋊C₈	—	4	2	no	—
129	C₂×C₄₃⋊C₈	—	4	2	no	—
130	C₂³×C₄₃	—	4	2	no	—
131	C₂³×C₄₃	—	8	2	no	—
132	C₂³×C₄₃	—	8	2	no	—
133	C₂³×C₄₃	—	8	2	no	—
134	C₂³×C₄₃	#121	1	1	yes	characteristic
135	Q₈×C₄₃	—	8	2	no	—
136	Q₈×C₄₃	—	8	2	no	—
137	D₄×C₄₃	—	4	2	no	—
138	D₄×C₄₃	—	4	2	no	—
139	D₄×C₄₃	—	4	2	no	—
140	D₄×C₄₃	—	4	2	no	—
141	D₄×C₄₃	—	8	2	no	—
142	D₄×C₄₃	—	8	2	no	—
143	D₄×C₄₃	—	8	2	no	—
144	D₄×C₄₃	—	8	2	no	—
145	C₂×C₄×C₄₃	—	2	2	no	—
146	C₂×C₄×C₄₃	—	4	2	no	—
147	C₂×C₄×C₄₃	—	8	2	no	—
148	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
149	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
150	C₂×C₄×C₄₃	#121	1	1	yes	characteristic
151	C₂×C₄×C₄₃	#135	1	2	yes	—
152	C₂×C₄×C₄₃	AGL(1,ℤ/8)	1	2	yes	—
153	C₂×C₄×C₄₃	#137	1	2	yes	—
154	C₂×C₄×C₄₃	#137	1	2	yes	—
155	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
156	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
157	C₂×C₄×C₄₃	C₂×#41	1	1	yes	characteristic
158	C₂×Dic₄₃	—	2	2	no	—
159	C₂×Dic₄₃	—	2	2	no	—
160	C₂×Dic₄₃	—	4	2	no	—
161	C₂×Dic₄₃	—	4	2	no	—
162	Dic₈₆	—	2	2	no	—
163	Dic₈₆	—	2	2	no	—
164	Dic₈₆	—	4	2	no	—
165	C₈×C₄₃	—	2	2	no	—
166	C₈×C₄₃	—	2	2	no	—
167	C₄₃⋊C₈	—	4	2	no	—
168	C₄₃⋊C₈	—	4	2	no	—
169	C₄₃⋊C₈	—	4	2	no	—
170	C₂×#1698	—	43	1	no	maximal, Sylow
171	C₂²×C₄₃	—	8	2	no	—
172	C₂²×C₄₃	—	8	2	no	—
173	C₂²×C₄₃	—	8	2	no	—
174	C₂²×C₄₃	—	16	4	no	—
175	C₂²×C₄₃	#464	1	2	yes	—
176	C₂²×C₄₃	#468	1	2	yes	—
177	C₂²×C₄₃	#472	1	2	yes	—
178	C₂²×C₄₃	C₂×#121	1	1	yes	characteristic
179	C₄×C₄₃	—	2	1	no	—
180	C₄×C₄₃	—	2	1	no	—
181	C₄×C₄₃	—	8	2	no	—
182	C₄×C₄₃	#464	1	2	yes	—
183	C₄×C₄₃	#468	1	2	yes	—
184	C₄×C₄₃	C₂×#135	1	1	yes	characteristic
185	C₄×C₄₃	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
186	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
187	C₄×C₄₃	C₂×#137	1	1	yes	characteristic
188	Dic₄₃	—	4	2	no	—
189	Dic₄₃	—	4	2	no	—
190	C₂×#486	D₄₃	1	1	yes	characteristic
191	C₂×#477	—	43	1	no	—
192	C₂×#460	—	43	1	no	—
193	C₂×#446	—	43	1	no	—
194	#1698	—	43	8	no	—
195	C₂×#335	—	43	1	no	—
196	C₂×#333	—	43	1	no	—
197	C₂×#331	—	43	1	no	—
198	C₂×C₄₃	—	16	2	no	—
199	C₂×C₄₃	#1698	1	4	yes	complemented
200	C₂×C₄₃	C₂×#464	1	1	yes	characteristic
201	C₂×C₄₃	C₂×#468	1	1	yes	characteristic
202	C₂×C₄₃	C₂×#472	1	1	yes	characteristic
203	C₂²×SD₁₆	—	86	1	no	—
204	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic
205	C₂×#127	C₂×D₄₃	1	1	yes	characteristic
206	C₂×C₄×Q₈	—	43	1	no	—
207	#486	—	2	2	no	—
208	#486	C₂×D₄₃	1	4	yes	—
209	#477	—	43	4	no	—
210	#477	—	86	2	no	—
211	#460	—	43	4	no	—
212	#460	—	86	2	no	—
213	#446	—	43	4	no	—
214	#446	—	86	2	no	—
215	C₂×#107	—	86	1	no	—
216	C₂×C₄⋊C₈	—	43	1	no	—
217	C₂×C₄⋊C₈	—	43	1	no	—
218	C₂×C₄⋊C₈	—	43	1	no	—
219	C₂×C₄⋊C₈	—	86	1	no	—
220	C₂×#103	—	86	1	no	—
221	C₂×#102	—	2	1	no	—
222	C₂×#102	—	2	1	no	—
223	C₂×#102	—	86	1	no	—
224	C₂×#97	—	86	1	no	—
225	C₂×C₄×C₈	C₂×D₄₃	1	1	yes	characteristic
226	#335	—	43	4	no	—
227	#333	—	43	4	no	—
228	#331	—	43	4	no	—
229	C₄₃	C₂×#1698	1	1	yes	characteristic, complemented, Sylow
230	C₂²×Q₈	—	2	1	no	—
231	C₂²×Q₈	—	43	1	no	—
232	C₂²×D₄	—	2	1	no	—
233	C₂²×D₄	—	2	1	no	—
234	C₂²×D₄	—	2	1	no	—
235	C₂×SD₁₆	—	86	4	no	—
236	C₂×SD₁₆	—	172	4	no	—
237	C₂²×C₈	—	86	1	no	—
238	C₂²×C₈	—	86	1	no	—
239	C₂²×C₈	—	86	1	no	—
240	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
241	C₂²×C₈	C₂²⋊D₄₃	1	1	yes	characteristic
242	C₄⋊Q₈	—	2	1	no	—
243	C₄⋊Q₈	—	2	1	no	—
244	C₄⋊Q₈	—	2	1	no	—
245	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
246	#127	—	2	1	no	—
247	#127	—	2	1	no	—
248	#127	—	2	1	no	—
249	#127	C₂²×D₄₃	1	2	yes	—
250	C₄×Q₈	—	43	2	no	—
251	C₄×Q₈	—	43	2	no	—
252	C₄×Q₈	—	86	1	no	—
253	C₄×Q₈	—	86	1	no	—
254	C₂×C₄⋊C₄	—	2	1	no	—
255	C₂×C₄⋊C₄	—	2	1	no	—
256	C₂×C₄⋊C₄	—	43	1	no	—
257	C₂×C₄⋊C₄	—	86	1	no	—
258	C₂×C₄²	—	86	1	no	—
259	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
260	#107	—	86	4	no	—
261	C₄⋊C₈	—	43	2	no	—
262	C₄⋊C₈	—	43	2	no	—
263	C₄⋊C₈	—	43	2	no	—
264	C₄⋊C₈	—	86	4	no	—
265	C₄⋊C₈	—	86	1	no	—
266	C₄⋊C₈	—	86	1	no	—
267	C₄⋊C₈	—	86	1	no	—
268	#103	—	86	4	no	—
269	#102	—	2	4	no	—
270	#102	—	2	4	no	—
271	#102	—	86	4	no	—
272	#97	—	86	4	no	—
273	C₄×C₈	C₂²⋊D₄₃	1	2	yes	—
274	C₄×C₈	C₂²×D₄₃	1	2	yes	—
275	C₂⁴	—	4	1	no	—
276	C₂×Q₈	—	2	2	no	—
277	C₂×Q₈	—	4	1	no	—
278	C₂×Q₈	—	8	2	no	—
279	C₂×Q₈	—	43	2	no	—
280	C₂×Q₈	—	86	1	no	—
281	C₂×Q₈	—	86	2	no	—
282	C₂×Q₈	—	86	2	no	—
283	C₂×D₄	—	2	2	no	—
284	C₂×D₄	—	2	2	no	—
285	C₂×D₄	—	2	2	no	—
286	C₂×D₄	—	4	1	no	—
287	C₂×D₄	—	4	1	no	—
288	C₂×D₄	—	4	1	no	—
289	C₂×D₄	—	4	2	no	—
290	C₂×D₄	—	4	2	no	—
291	C₂×D₄	—	4	2	no	—
292	C₂×D₄	—	4	2	no	—
293	C₂×D₄	—	8	2	no	—
294	C₂²×C₄	—	4	1	no	—
295	C₂²×C₄	—	86	1	no	—
296	C₂²×C₄	—	86	1	no	—
297	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
298	C₂²×C₄	#10621900	1	1	yes	characteristic
299	C₂²×C₄	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
300	SD₁₆	—	172	8	no	—
301	C₂×C₈	—	2	2	no	—
302	C₂×C₈	—	2	2	no	—
303	C₂×C₈	—	86	2	no	—
304	C₂×C₈	—	86	2	no	—
305	C₂×C₈	—	86	2	no	—
306	C₂×C₈	—	172	2	no	—
307	C₂×C₈	—	172	2	no	—
308	C₂×C₈	—	172	2	no	—
309	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
310	C₂×C₈	C₂×C₂²⋊D₄₃	1	2	yes	—
311	C₄⋊C₄	—	2	2	no	—
312	C₄⋊C₄	—	2	2	no	—
313	C₄⋊C₄	—	4	1	no	—
314	C₄⋊C₄	—	4	1	no	—
315	C₄⋊C₄	—	43	2	no	—
316	C₄⋊C₄	—	86	1	no	—
317	C₄⋊C₄	—	86	2	no	—
318	C₄⋊C₄	—	86	2	no	—
319	C₄²	—	86	2	no	—
320	C₄²	—	86	2	no	—
321	C₄²	D₄×D₄₃	1	1	yes	characteristic
322	C₄²	#10621900	1	1	yes	characteristic
323	C₄²	C₂×C₂²⋊D₄₃	1	1	yes	characteristic
324	C₄²	C₂³×D₄₃	1	1	yes	characteristic
325	C₂³	—	4	2	no	—
326	C₂³	—	8	2	no	—
327	C₂³	—	8	2	no	—
328	C₂³	—	8	2	no	—
329	C₂³	#13063296	1	1	yes	characteristic
330	Q₈	—	8	2	no	—
331	Q₈	—	8	2	no	—
332	Q₈	—	86	2	no	—
333	Q₈	—	86	2	no	—
334	Q₈	—	172	2	no	—
335	D₄	—	4	2	no	—
336	D₄	—	4	2	no	—
337	D₄	—	4	2	no	—
338	D₄	—	4	2	no	—
339	D₄	—	8	2	no	—
340	D₄	—	8	2	no	—
341	D₄	—	8	2	no	—
342	D₄	—	8	2	no	—
343	C₂×C₄	—	2	2	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	8	2	no	—
346	C₂×C₄	—	86	2	no	—
347	C₂×C₄	—	86	2	no	—
348	C₂×C₄	—	172	2	no	—
349	C₂×C₄	—	172	2	no	—
350	C₂×C₄	#13063296	1	1	yes	characteristic
351	C₂×C₄	#13063296	1	1	yes	characteristic
352	C₂×C₄	#13063296	1	1	yes	characteristic
353	C₂×C₄	#13063345	1	2	yes	—
354	C₂×C₄	#13063352	1	2	yes	—
355	C₂×C₄	#13063354	1	2	yes	—
356	C₂×C₄	#13063355	1	2	yes	—
357	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
358	C₂×C₄	C₂²×C₂²⋊D₄₃	1	1	yes	characteristic
359	C₂×C₄	C₂×#10621900	1	1	yes	characteristic
360	C₈	—	2	2	no	—
361	C₈	—	2	2	no	—
362	C₈	—	172	2	no	—
363	C₈	—	172	2	no	—
364	C₈	—	172	2	no	—
365	C₂²	—	8	2	no	—
366	C₂²	—	8	2	no	—
367	C₂²	—	8	2	no	—
368	C₂²	—	16	4	no	—
369	C₂²	#14583118	1	2	yes	—
370	C₂²	#14583142	1	2	yes	—
371	C₂²	#14583166	1	2	yes	—
372	C₂²	C₂×#13063296	1	1	yes	characteristic
373	C₄	—	2	1	no	—
374	C₄	—	2	1	no	—
375	C₄	—	8	2	no	—
376	C₄	—	172	2	no	—
377	C₄	—	172	2	no	—
378	C₄	#14583118	1	2	yes	—
379	C₄	#14583142	1	2	yes	—
380	C₄	C₂×#13063345	1	1	yes	characteristic
381	C₄	C₂×#13063352	1	1	yes	characteristic
382	C₄	C₂×#13063354	1	1	yes	characteristic
383	C₄	C₂×#13063355	1	1	yes	characteristic
384	C₂	—	16	2	no	—
385	C₂	#19134132	1	4	yes	direct product factor
386	C₂	C₂×#14583118	1	1	yes	characteristic
387	C₂	C₂×#14583142	1	1	yes	characteristic
388	C₂	C₂×#14583166	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	#13063296
commutator, cosocle	C₄²×C₄₃	C₂⁴
Frattini	C₄²	C₂³×D₄₃
Fitting	C₂×C₄₃×#486	C₂
socle	C₂³×C₄₃	#121
prime radical	C₂×#127×C₄₃	C₂²
hypercenter	C₂×#486	D₄₃
hypocenter	C₄₃	C₂×#1698
LCS	G ▷ C₄²×C₄₃ ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×C₄² ◁ C₂×#486

Complements

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

N	H ≅ G/N	type
1. C₂×#14583191	C₂	semidirect
3. C₂×#14583029	C₂	semidirect
4. #19134132	C₂	direct (N × H)
5. C₂×#14582652	C₂	semidirect
6. C₂×#14582648	C₂	semidirect
12. #14583191	C₂²	semidirect
16. #14583029	C₂²	semidirect
25. #14582652	C₂²	semidirect
26. #14582648	C₂²	semidirect
199. C₂×C₄₃	#1698	semidirect
229. C₄₃	C₂×#1698	semidirect
385. C₂	#19134132	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×#14583191	2
C₂×#14583096	2
C₂×#14583029	2
#19134132	2
C₂×#14582652	2
C₂×#14582648	2
C₂×#14582643	2
C₂×C₄₃×#486	2
C₂×#1698	43

Subgroups — C2×#19134132 #25079242

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19134132 #25079242