Subgroups — C₂×#3506 #62769

Order 256.

3997 conjugacy classes of subgroups.

The subgroup lattice has 342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#3506	C₂	1	32	yes	maximal, direct product factor
2	C₂×#559	C₂	1	4	yes	maximal, complemented
3	C₂×#556	C₂	1	2	yes	maximal, complemented
4	C₂×#555	C₂	1	2	yes	maximal, complemented
5	C₂×#553	C₂	1	4	yes	maximal, complemented
6	C₂×#550	C₂	1	2	yes	maximal, complemented
7	C₂×#547	C₂	1	2	yes	maximal, complemented
8	C₂×#538	C₂	1	4	yes	maximal, complemented
9	C₂×#535	C₂	1	2	yes	maximal, complemented
10	C₂×#533	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#532	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#525	C₂	1	4	yes	maximal, complemented
13	C₂×#520	C₂	1	2	yes	maximal, complemented
14	C₂²×C₄×D₄	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂²×#41	C₂²	1	2	yes	—
16	C₂²×#41	C₂²	1	4	yes	complemented
17	C₂³×D₄	C₂²	1	1	yes	characteristic
18	C₂⁴×C₄	C₂²	1	2	yes	—
19	#559	C₂²	1	64	yes	complemented
20	#556	C₂²	1	32	yes	complemented
21	#555	C₂²	1	32	yes	complemented
22	#553	C₂²	1	64	yes	complemented
23	#550	C₂²	1	32	yes	complemented
24	#547	C₂²	1	32	yes	complemented
25	#538	C₂²	1	64	yes	complemented
26	#535	C₂²	1	32	yes	complemented
27	#533	C₂²	1	16	yes	complemented
28	#532	C₂²	1	16	yes	complemented
29	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
32	C₂×#127	C₂²	1	4	yes	—
33	C₂×#127	C₂²	1	1	yes	characteristic, complemented
34	C₂×#126	C₂²	1	8	yes	complemented
35	C₂×#125	C₂²	1	2	yes	complemented
36	C₂×#124	C₂²	1	4	yes	—
37	C₂×#124	C₂²	1	2	yes	complemented
38	C₂×#124	C₂²	1	8	yes	complemented
39	#525	C₂²	1	64	yes	complemented
40	C₂×#123	C₂²	1	8	yes	complemented
41	C₂×#123	C₂²	1	8	yes	complemented
42	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
43	C₂×C₂²⋊Q₈	C₂²	1	2	yes	—
44	C₂×C₂²⋊Q₈	C₂²	1	4	yes	complemented
45	C₂×#121	C₂²	1	2	yes	—
46	C₂×#121	C₂²	1	2	yes	—
47	C₂×#121	C₂²	1	4	yes	—
48	C₂×#121	C₂²	1	4	yes	—
49	C₂×#121	C₂²	1	4	yes	complemented
50	C₂×#121	C₂²	1	8	yes	complemented
51	C₂×#120	C₂²	1	8	yes	—
52	#520	C₂²	1	32	yes	complemented
53	C₂×C₄×Q₈	C₂²	1	4	yes	complemented
54	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
55	C₂×C₄×Q₈	C₂²	1	2	yes	complemented
56	C₂×C₄×D₄	C₂²	1	2	yes	—
57	C₂×C₄×D₄	C₂²	1	2	yes	—
58	C₂×C₄×D₄	C₂²	1	2	yes	—
59	C₂×C₄×D₄	C₂²	1	2	yes	—
60	C₂×C₄×D₄	C₂²	1	8	yes	—
61	C₂×C₄×D₄	C₂²	1	16	yes	complemented
62	C₂×C₄×D₄	C₂²	1	4	yes	complemented
63	C₂×C₄×D₄	C₂²	1	8	yes	complemented
64	C₂×C₄×D₄	C₂²	1	2	yes	complemented
65	C₂×C₄×D₄	C₂²	1	2	yes	complemented
66	C₂×#117	C₂²	1	2	yes	—
67	C₂×#117	C₂²	1	4	yes	complemented
68	C₂×#117	C₂²	1	4	yes	complemented
69	C₂²×C₄⋊C₄	C₂²	1	1	yes	characteristic
70	C₂²×C₄⋊C₄	C₂²	1	4	yes	complemented
71	C₂²×C₂²⋊C₄	C₂²	1	2	yes	—
72	C₂²×C₄²	C₂²	1	1	yes	characteristic
73	C₂⁵	C₂³	1	2	yes	—
74	C₂×#41	—	2	16	no	—
75	C₂×#41	—	4	16	no	—
76	C₂×#41	C₂³	1	16	yes	—
77	C₂×#41	C₂³	1	32	yes	complemented
78	C₂²×Q₈	C₂³	1	2	yes	—
79	C₂²×Q₈	C₂³	1	2	yes	—
80	C₂²×Q₈	C₂³	1	2	yes	—
81	C₂²×D₄	—	2	8	no	—
82	C₂²×D₄	C₂³	1	4	yes	—
83	C₂²×D₄	C₂³	1	2	yes	—
84	C₂²×D₄	C₂³	1	2	yes	—
85	C₂²×D₄	C₂³	1	2	yes	—
86	C₂²×D₄	C₂³	1	8	yes	—
87	C₂²×D₄	C₂³	1	2	yes	—
88	C₂²×D₄	C₂³	1	8	yes	—
89	C₂²×D₄	C₂³	1	2	yes	—
90	C₂²×D₄	C₂³	1	8	yes	—
91	C₂³×C₄	—	4	8	no	—
92	C₂³×C₄	C₂³	1	4	yes	—
93	C₂³×C₄	C₂³	1	4	yes	—
94	C₂³×C₄	C₂³	1	1	yes	characteristic
95	C₂³×C₄	C₂³	1	1	yes	characteristic
96	C₂³×C₄	C₂³	1	2	yes	—
97	C₂³×C₄	C₂³	1	8	yes	—
98	C₂³×C₄	C₂³	1	4	yes	—
99	C₂³×C₄	C₂³	1	16	yes	—
100	C₂³×C₄	C₂³	1	1	yes	characteristic
101	C₄⋊Q₈	C₂³	1	8	yes	complemented
102	C₄⋊Q₈	C₂³	1	8	yes	complemented
103	C₄⋊Q₈	C₂³	1	8	yes	complemented
104	#127	C₂³	1	32	yes	—
105	#127	C₂³	1	8	yes	complemented
106	#126	C₂³	1	64	yes	complemented
107	#125	C₂³	1	16	yes	complemented
108	#124	C₂³	1	32	yes	—
109	#124	C₂³	1	16	yes	complemented
110	#124	C₂³	1	64	yes	complemented
111	#123	C₂³	1	64	yes	complemented
112	#123	C₂³	1	64	yes	complemented
113	C₂²⋊Q₈	C₂³	1	16	yes	—
114	C₂²⋊Q₈	C₂³	1	16	yes	—
115	C₂²⋊Q₈	C₂³	1	32	yes	complemented
116	#121	C₂³	1	16	yes	—
117	#121	C₂³	1	16	yes	—
118	#121	C₂³	1	32	yes	—
119	#121	C₂³	1	32	yes	—
120	#121	C₂³	1	32	yes	complemented
121	#121	C₂³	1	64	yes	complemented
122	#120	C₂³	1	64	yes	—
123	C₄×Q₈	C₂³	1	32	yes	complemented
124	C₄×Q₈	C₂³	1	16	yes	complemented
125	C₄×Q₈	C₂³	1	16	yes	complemented
126	C₄×D₄	C₂³	1	16	yes	—
127	C₄×D₄	C₂³	1	16	yes	—
128	C₄×D₄	C₂³	1	16	yes	—
129	C₄×D₄	C₂³	1	16	yes	—
130	C₄×D₄	C₂³	1	64	yes	—
131	C₄×D₄	C₂³	1	32	yes	complemented
132	C₄×D₄	C₂³	1	64	yes	complemented
133	C₄×D₄	C₂³	1	16	yes	complemented
134	C₄×D₄	C₂³	1	16	yes	complemented
135	#117	C₂³	1	16	yes	—
136	#117	C₂³	1	32	yes	complemented
137	#117	C₂³	1	32	yes	complemented
138	C₂×C₄⋊C₄	C₂³	1	2	yes	—
139	C₂×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₄⋊C₄	C₂³	1	8	yes	—
141	C₂×C₄⋊C₄	C₂³	1	2	yes	—
142	C₂×C₄⋊C₄	C₂³	1	8	yes	—
143	C₂×C₄⋊C₄	C₂³	1	2	yes	—
144	C₂×C₄⋊C₄	C₂³	1	2	yes	—
145	C₂×C₄⋊C₄	C₂³	1	2	yes	—
146	C₂×C₄⋊C₄	C₂³	1	4	yes	—
147	C₂×C₄⋊C₄	C₂³	1	2	yes	—
148	C₂×C₄⋊C₄	C₂³	1	4	yes	—
149	C₂×C₄⋊C₄	C₂³	1	2	yes	—
150	C₂×C₄⋊C₄	C₂³	1	32	yes	complemented
151	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
152	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
153	C₂×C₂²⋊C₄	C₂³	1	16	yes	—
154	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
155	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
156	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
157	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
158	C₂×C₂²⋊C₄	C₂³	1	8	yes	—
159	C₂×C₂²⋊C₄	C₂³	1	4	yes	—
160	C₂×C₄²	C₂³	1	4	yes	—
161	C₂×C₄²	C₂³	1	8	yes	—
162	C₂×C₄²	C₂³	1	1	yes	characteristic
163	C₂×C₄²	C₂³	1	1	yes	characteristic
164	C₂×C₄²	C₂³	1	1	yes	characteristic
165	C₂×C₄²	C₂³	1	1	yes	characteristic
166	C₂×C₄²	C₂³	1	8	yes	—
167	C₂⁴	—	2	8	no	—
168	C₂⁴	—	4	4	no	—
169	C₂⁴	—	4	4	no	—
170	C₂⁴	C₂⁴	1	4	yes	—
171	C₂⁴	C₂⁴	1	4	yes	—
172	C₂⁴	C₂⁴	1	1	yes	characteristic
173	C₂⁴	C₂⁴	1	8	yes	—
174	#41	—	2	64	no	—
175	#41	—	4	64	no	—
176	C₂×Q₈	—	2	8	no	—
177	C₂×Q₈	—	2	8	no	—
178	C₂×Q₈	—	4	4	no	—
179	C₂×Q₈	C₂⁴	1	8	yes	—
180	C₂×Q₈	C₂⁴	1	8	yes	—
181	C₂×Q₈	C₂⁴	1	8	yes	—
182	C₂×D₄	—	2	16	no	—
183	C₂×D₄	—	2	8	no	—
184	C₂×D₄	—	2	8	no	—
185	C₂×D₄	—	2	8	no	—
186	C₂×D₄	—	2	32	no	—
187	C₂×D₄	—	2	8	no	—
188	C₂×D₄	—	4	4	no	—
189	C₂×D₄	—	4	16	no	—
190	C₂×D₄	—	4	16	no	—
191	C₂×D₄	C₂⁴	1	16	yes	—
192	C₂×D₄	C₂⁴	1	8	yes	—
193	C₂×D₄	C₂⁴	1	8	yes	—
194	C₂×D₄	C₂⁴	1	8	yes	—
195	C₂×D₄	C₂⁴	1	8	yes	—
196	C₂×D₄	C₂⁴	1	32	yes	—
197	C₂×D₄	C₂⁴	1	8	yes	—
198	C₂×D₄	C₂⁴	1	32	yes	—
199	C₂²×C₄	—	2	16	no	—
200	C₂²×C₄	—	2	4	no	—
201	C₂²×C₄	—	2	16	no	—
202	C₂²×C₄	—	4	32	no	—
203	C₂²×C₄	—	4	4	no	—
204	C₂²×C₄	—	4	8	no	—
205	C₂²×C₄	—	4	2	no	—
206	C₂²×C₄	—	4	16	no	—
207	C₂²×C₄	#41	1	8	yes	complemented
208	C₂²×C₄	C₂⁴	1	4	yes	—
209	C₂²×C₄	C₂⁴	1	16	yes	—
210	C₂²×C₄	C₂⁴	1	16	yes	—
211	C₂²×C₄	C₂⁴	1	4	yes	—
212	C₂²×C₄	C₂⁴	1	1	yes	characteristic
213	C₂²×C₄	C₂⁴	1	4	yes	—
214	C₂²×C₄	C₂⁴	1	1	yes	characteristic
215	C₂²×C₄	C₂⁴	1	4	yes	—
216	C₂²×C₄	C₂⁴	1	1	yes	characteristic
217	C₂²×C₄	C₂⁴	1	4	yes	—
218	C₂²×C₄	C₂⁴	1	4	yes	—
219	C₂²×C₄	C₂⁴	1	8	yes	—
220	C₂²×C₄	C₂⁴	1	32	yes	—
221	C₂²×C₄	C₂⁴	1	16	yes	—
222	C₂²×C₄	C₂⁴	1	1	yes	characteristic
223	C₂²×C₄	C₂⁴	1	1	yes	characteristic
224	C₂²×C₄	C₂⁴	1	4	yes	—
225	C₂²×C₄	C₂⁴	1	1	yes	characteristic
226	C₄⋊C₄	C₂⁴	1	8	yes	—
227	C₄⋊C₄	C₂⁴	1	8	yes	—
228	C₄⋊C₄	C₂⁴	1	8	yes	—
229	C₄⋊C₄	C₂⁴	1	32	yes	—
230	C₄⋊C₄	C₂⁴	1	8	yes	—
231	C₄⋊C₄	C₂⁴	1	8	yes	—
232	C₄⋊C₄	C₂⁴	1	8	yes	—
233	C₄⋊C₄	C₂⁴	1	16	yes	—
234	C₄⋊C₄	C₂⁴	1	8	yes	—
235	C₄⋊C₄	C₂⁴	1	16	yes	—
236	C₄⋊C₄	C₂⁴	1	8	yes	—
237	C₂²⋊C₄	C₂⁴	1	16	yes	—
238	C₂²⋊C₄	C₂⁴	1	16	yes	—
239	C₂²⋊C₄	C₂⁴	1	16	yes	—
240	C₂²⋊C₄	C₂⁴	1	32	yes	—
241	C₂²⋊C₄	C₂⁴	1	32	yes	—
242	C₂²⋊C₄	C₂⁴	1	16	yes	—
243	C₂²⋊C₄	C₂⁴	1	32	yes	—
244	C₂²⋊C₄	C₂⁴	1	16	yes	—
245	C₄²	C₂⁴	1	4	yes	—
246	C₄²	C₂⁴	1	4	yes	—
247	C₄²	C₂⁴	1	4	yes	—
248	C₄²	C₂⁴	1	4	yes	—
249	C₄²	C₂⁴	1	16	yes	—
250	C₄²	C₂⁴	1	32	yes	—
251	C₂³	—	2	2	no	—
252	C₂³	—	2	2	no	—
253	C₂³	—	2	8	no	—
254	C₂³	—	2	16	no	—
255	C₂³	—	2	8	no	—
256	C₂³	—	2	8	no	—
257	C₂³	—	2	8	no	—
258	C₂³	—	2	8	no	—
259	C₂³	—	2	8	no	—
260	C₂³	—	4	8	no	—
261	C₂³	—	4	8	no	—
262	C₂³	—	4	32	no	—
263	C₂³	C₂×#41	1	4	yes	—
264	C₂³	C₂⁵	1	8	yes	—
265	C₂³	C₂⁵	1	8	yes	—
266	C₂³	C₂⁵	1	2	yes	—
267	C₂³	C₂⁵	1	1	yes	characteristic
268	Q₈	—	2	16	no	—
269	Q₈	—	2	16	no	—
270	Q₈	—	4	8	no	—
271	D₄	—	2	32	no	—
272	D₄	—	2	16	no	—
273	D₄	—	2	16	no	—
274	D₄	—	2	16	no	—
275	D₄	—	2	16	no	—
276	D₄	—	4	8	no	—
277	D₄	—	4	32	no	—
278	D₄	—	4	32	no	—
279	C₂×C₄	—	2	8	no	—
280	C₂×C₄	—	2	2	no	—
281	C₂×C₄	—	2	8	no	—
282	C₂×C₄	—	2	8	no	—
283	C₂×C₄	—	2	2	no	—
284	C₂×C₄	—	2	2	no	—
285	C₂×C₄	—	2	8	no	—
286	C₂×C₄	—	2	32	no	—
287	C₂×C₄	—	2	8	no	—
288	C₂×C₄	—	2	32	no	—
289	C₂×C₄	—	4	8	no	—
290	C₂×C₄	—	4	16	no	—
291	C₂×C₄	—	4	4	no	—
292	C₂×C₄	—	4	32	no	—
293	C₂×C₄	C₂×#41	1	4	yes	—
294	C₂×C₄	C₂×#41	1	4	yes	—
295	C₂×C₄	C₂×#41	1	16	yes	complemented
296	C₂×C₄	H(5,𝔽₂)	1	4	yes	—
297	C₂×C₄	C₂⁵	1	8	yes	—
298	C₂×C₄	C₂⁵	1	2	yes	—
299	C₂×C₄	C₂⁵	1	8	yes	—
300	C₂×C₄	C₂⁵	1	2	yes	—
301	C₂×C₄	C₂⁵	1	2	yes	—
302	C₂×C₄	C₂⁵	1	8	yes	—
303	C₂×C₄	C₂⁵	1	8	yes	—
304	C₂×C₄	C₂⁵	1	2	yes	—
305	C₂×C₄	C₂⁵	1	2	yes	—
306	C₂×C₄	C₂⁵	1	2	yes	—
307	C₂²	—	2	2	no	—
308	C₂²	—	2	2	no	—
309	C₂²	—	2	8	no	—
310	C₂²	—	2	8	no	—
311	C₂²	—	2	8	no	—
312	C₂²	—	2	8	no	—
313	C₂²	—	2	8	no	—
314	C₂²	—	2	8	no	—
315	C₂²	—	2	8	no	—
316	C₂²	—	4	32	no	—
317	C₂²	—	4	16	no	—
318	C₂²	—	4	16	no	—
319	C₂²	C₂²×#41	1	4	yes	—
320	C₂²	C₂²×#41	1	2	yes	—
321	C₂²	C₂×H(5,𝔽₂)	1	2	yes	—
322	C₂²	#585	1	2	yes	—
323	C₂²	C₂⁶	1	1	yes	characteristic
324	C₄	—	2	8	no	—
325	C₄	—	2	2	no	—
326	C₄	—	2	8	no	—
327	C₄	—	2	8	no	—
328	C₄	—	2	2	no	—
329	C₄	—	2	2	no	—
330	C₄	—	2	8	no	—
331	C₄	C₂²×#41	1	4	yes	—
332	C₄	C₂²×#41	1	4	yes	—
333	C₄	C₂×H(5,𝔽₂)	1	4	yes	—
334	C₂	—	2	4	no	—
335	C₂	—	4	8	no	—
336	C₂	—	4	8	no	—
337	C₂	#3506	1	4	yes	direct product factor
338	C₂	C₂³×#41	1	1	yes	characteristic
339	C₂	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
340	C₂	C₂×#585	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³ ◁ G
LECS	G ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #3506	C₂	direct (N × H)
2. C₂×#559	C₂	semidirect
3. C₂×#556	C₂	semidirect
4. C₂×#555	C₂	semidirect
5. C₂×#553	C₂	semidirect
6. C₂×#550	C₂	semidirect
7. C₂×#547	C₂	semidirect
8. C₂×#538	C₂	semidirect
9. C₂×#535	C₂	semidirect
10. C₂×#533	C₂	semidirect
11. C₂×#532	C₂	semidirect
12. C₂×#525	C₂	semidirect
13. C₂×#520	C₂	semidirect
14. C₂²×C₄×D₄	C₂	semidirect
16. C₂²×#41	C₂²	semidirect
19. #559	C₂²	semidirect
20. #556	C₂²	semidirect
21. #555	C₂²	semidirect
22. #553	C₂²	semidirect
23. #550	C₂²	semidirect
24. #547	C₂²	semidirect
25. #538	C₂²	semidirect
26. #535	C₂²	semidirect
27. #533	C₂²	semidirect
28. #532	C₂²	semidirect
29. C₂×C₄⋊Q₈	C₂²	semidirect
30. C₂×C₄⋊Q₈	C₂²	semidirect
31. C₂×C₄⋊Q₈	C₂²	semidirect
33. C₂×#127	C₂²	semidirect
34. C₂×#126	C₂²	semidirect
35. C₂×#125	C₂²	semidirect
37. C₂×#124	C₂²	semidirect
38. C₂×#124	C₂²	semidirect
39. #525	C₂²	semidirect
40. C₂×#123	C₂²	semidirect
41. C₂×#123	C₂²	semidirect
44. C₂×C₂²⋊Q₈	C₂²	semidirect
49. C₂×#121	C₂²	semidirect
50. C₂×#121	C₂²	semidirect
52. #520	C₂²	semidirect
53. C₂×C₄×Q₈	C₂²	semidirect
54. C₂×C₄×Q₈	C₂²	semidirect
55. C₂×C₄×Q₈	C₂²	semidirect
61. C₂×C₄×D₄	C₂²	semidirect
62. C₂×C₄×D₄	C₂²	semidirect
63. C₂×C₄×D₄	C₂²	semidirect
64. C₂×C₄×D₄	C₂²	semidirect
65. C₂×C₄×D₄	C₂²	semidirect
67. C₂×#117	C₂²	semidirect
68. C₂×#117	C₂²	semidirect
70. C₂²×C₄⋊C₄	C₂²	semidirect
77. C₂×#41	C₂³	semidirect
101. C₄⋊Q₈	C₂³	semidirect
102. C₄⋊Q₈	C₂³	semidirect
103. C₄⋊Q₈	C₂³	semidirect
105. #127	C₂³	semidirect
106. #126	C₂³	semidirect
107. #125	C₂³	semidirect
109. #124	C₂³	semidirect
110. #124	C₂³	semidirect
111. #123	C₂³	semidirect
112. #123	C₂³	semidirect
115. C₂²⋊Q₈	C₂³	semidirect
120. #121	C₂³	semidirect
121. #121	C₂³	semidirect
123. C₄×Q₈	C₂³	semidirect
124. C₄×Q₈	C₂³	semidirect
125. C₄×Q₈	C₂³	semidirect
131. C₄×D₄	C₂³	semidirect
132. C₄×D₄	C₂³	semidirect
133. C₄×D₄	C₂³	semidirect
134. C₄×D₄	C₂³	semidirect
136. #117	C₂³	semidirect
137. #117	C₂³	semidirect
150. C₂×C₄⋊C₄	C₂³	semidirect
207. C₂²×C₄	#41	semidirect
295. C₂×C₄	C₂×#41	semidirect
337. C₂	#3506	direct (N × H)

Maximal subgroups

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

subgroup	index
#3506	2
C₂×#559	2
C₂×#556	2
C₂×#555	2
C₂×#553	2
C₂×#550	2
C₂×#547	2
C₂×#538	2
C₂×#535	2
C₂×#533	2
C₂×#532	2
C₂×#525	2
C₂×#520	2
C₂²×C₄×D₄	2

Subgroups — C2×#3506 #62769

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#3506 #62769