Subgroups — C₂×C₄×#88101 #16797188

Order 3328.

1358 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	C₂²×#88101	C₂	1	2	yes	maximal
2	C₂×C₄×C₄⋊#261	C₂	1	2	yes	maximal
3	C₄×#88101	C₂	1	8	yes	maximal, direct product factor
4	C₂×#11718265	C₂	1	2	yes	maximal
5	C₂×C₄×C₈×D₁₃	C₂	1	1	yes	maximal, characteristic
6	C₂²×C₄⋊#261	C₂²	1	4	yes	—
7	C₂²×C₄×#261	—	2	2	no	—
8	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
9	C₂²×C₈×D₁₃	C₂²	1	1	yes	characteristic
10	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
11	C₂×(C₂×#261)⋊C₄	—	2	2	no	—
12	C₂×#88101	C₄	1	16	yes	direct product factor
13	C₂×#88101	C₂²	1	8	yes	—
14	C₄×C₄⋊#261	—	2	4	no	—
15	C₄×C₄⋊#261	C₂²	1	8	yes	—
16	C₂×C₄×C₈×C₁₃	C₄	1	1	yes	characteristic, complemented
17	C₂×C₈×Dic₁₃	C₄	1	1	yes	characteristic, complemented
18	C₂×C₈×Dic₁₃	C₄	1	1	yes	characteristic, complemented
19	C₂×C₄×#1055	C₄	1	1	yes	characteristic, complemented
20	C₄×C₈×D₁₃	C₄	1	4	yes	complemented
21	C₄×C₈×D₁₃	C₂²	1	4	yes	—
22	#11718265	C₂²	1	8	yes	—
23	C₂³×#261	—	2	4	no	—
24	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
25	C₂²×C₄×D₁₃	D₄	1	1	yes	characteristic
26	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
27	C₂×C₄⋊#261	—	2	4	no	—
28	C₂×C₄⋊#261	—	2	8	no	—
29	C₂×C₄⋊#261	C₂×C₄	1	16	yes	—
30	C₂×C₄⋊#261	C₂³	1	8	yes	—
31	C₂×C₄×#261	—	2	8	no	—
32	C₂×C₄×#261	—	4	8	no	—
33	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
34	C₂²×C₈×C₁₃	C₂×C₄	1	1	yes	characteristic
35	C₂×C₄²×C₁₃	C₂×C₄	1	1	yes	characteristic
36	C₂×C₄×Dic₁₃	C₂×C₄	1	1	yes	characteristic
37	C₂×C₄×Dic₁₃	Q₈	1	1	yes	characteristic
38	C₂×C₄×Dic₁₃	Q₈	1	1	yes	characteristic
39	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
40	C₂²×#1055	C₂×C₄	1	1	yes	characteristic
41	C₂×C₈×D₁₃	—	2	4	no	—
42	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
43	C₂×C₈×D₁₃	C₂×C₄	1	2	yes	—
44	C₂×C₈×D₁₃	C₂×C₄	1	8	yes	—
45	C₂×C₈×D₁₃	C₂³	1	2	yes	—
46	C₂×C₈×D₁₃	C₂³	1	2	yes	—
47	C₄²×D₁₃	C₂×C₄	1	2	yes	—
48	C₄²×D₁₃	D₄	1	2	yes	—
49	C₄²×D₁₃	Q₈	1	2	yes	—
50	C₄²×D₁₃	C₂³	1	2	yes	—
51	(C₂×#261)⋊C₄	—	2	8	no	—
52	#88101	C₂×C₄	1	32	yes	direct product factor
53	C₄×C₈×C₁₃	C₂×C₄	1	4	yes	complemented
54	C₈×Dic₁₃	C₂×C₄	1	4	yes	complemented
55	C₈×Dic₁₃	C₂×C₄	1	4	yes	complemented
56	C₄×#1055	C₂×C₄	1	4	yes	complemented
57	C₂×C₄×#106	—	13	1	no	maximal, Sylow
58	C₂³×D₁₃	C₂×D₄	1	1	yes	characteristic
59	C₂²×#261	—	2	16	no	—
60	C₂²×#261	—	2	8	no	—
61	C₂²×#261	—	4	8	no	—
62	C₂²×#261	—	4	8	no	—
63	C₂²×C₄×C₁₃	C₄⋊C₄	1	1	yes	characteristic
64	C₂²×C₄×C₁₃	C₄⋊C₄	1	1	yes	characteristic
65	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
66	C₂²×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
67	C₂²×Dic₁₃	C₄⋊C₄	1	1	yes	characteristic
68	C₂²×Dic₁₃	C₂×Q₈	1	1	yes	characteristic
69	C₂×C₄×D₁₃	—	2	4	no	—
70	C₂×C₄×D₁₃	C₄⋊C₄	1	2	yes	—
71	C₂×C₄×D₁₃	C₄⋊C₄	1	2	yes	—
72	C₂×C₄×D₁₃	SD₁₆	1	8	yes	—
73	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
74	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
75	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
76	C₂×C₄×D₁₃	C₂×D₄	1	1	yes	characteristic
77	C₂×C₄×D₁₃	C₂×D₄	1	2	yes	—
78	C₂×C₄×D₁₃	C₂×Q₈	1	1	yes	characteristic
79	C₂×C₄×D₁₃	#41	1	4	yes	—
80	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
81	C₄⋊#261	—	2	16	no	—
82	C₄⋊#261	—	2	8	no	—
83	C₄⋊#261	C₂²×C₄	1	16	yes	—
84	C₄×#261	—	4	16	no	—
85	C₂×C₈×C₁₃	—	2	2	no	—
86	C₂×C₈×C₁₃	C₄²	1	4	yes	complemented
87	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
88	C₂×C₈×C₁₃	C₂²×C₄	1	2	yes	—
89	C₄²×C₁₃	C₄⋊C₄	1	2	yes	—
90	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
91	C₄×Dic₁₃	C₄⋊C₄	1	2	yes	—
92	C₄×Dic₁₃	C₄⋊C₄	1	2	yes	—
93	C₄×Dic₁₃	C₄⋊C₄	1	2	yes	—
94	C₄×Dic₁₃	C₂²×C₄	1	2	yes	—
95	C₄×Dic₁₃	C₂×Q₈	1	2	yes	—
96	C₄×Dic₁₃	C₂×Q₈	1	2	yes	—
97	C₂×#1055	—	2	2	no	—
98	C₂×#1055	C₄²	1	4	yes	complemented
99	C₂×#1055	C₂²×C₄	1	2	yes	—
100	C₂×#1055	C₂²×C₄	1	2	yes	—
101	C₈×D₁₃	—	2	4	no	—
102	C₈×D₁₃	—	2	4	no	—
103	C₈×D₁₃	C₄²	1	8	yes	complemented
104	C₈×D₁₃	C₂²×C₄	1	8	yes	—
105	C₂²×#106	—	13	2	no	—
106	C₂²×C₄×C₈	—	13	1	no	—
107	C₂×C₄×C₄⋊C₄	—	13	2	no	—
108	C₄×#106	—	13	8	no	—
109	C₂×#340	—	13	2	no	—
110	C₂³×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
111	C₂²×D₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
112	C₂²×D₁₃	C₄×D₄	1	4	yes	—
113	C₂²×D₁₃	C₂×SD₁₆	1	4	yes	—
114	C₂²×D₁₃	#135	1	4	yes	—
115	C₂²×D₁₃	C₂²×D₄	1	1	yes	characteristic
116	C₂×#261	—	2	16	no	—
117	C₂×#261	—	4	8	no	—
118	C₂×#261	—	4	8	no	—
119	C₂×#261	—	4	32	no	—
120	C₂×C₄×C₁₃	—	2	2	no	—
121	C₂×C₄×C₁₃	#106	1	4	yes	complemented
122	C₂×C₄×C₁₃	C₂×C₄²	1	2	yes	—
123	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
124	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
125	C₂×C₄×C₁₃	C₂×C₄⋊C₄	1	2	yes	—
126	C₂×C₄×C₁₃	#117	1	2	yes	—
127	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
128	C₂×Dic₁₃	—	2	2	no	—
129	C₂×Dic₁₃	#106	1	4	yes	complemented
130	C₂×Dic₁₃	C₂×C₄⋊C₄	1	2	yes	—
131	C₂×Dic₁₃	C₂×C₄⋊C₄	1	1	yes	characteristic
132	C₂×Dic₁₃	C₂×C₄⋊C₄	1	2	yes	—
133	C₂×Dic₁₃	C₄×Q₈	1	4	yes	—
134	C₂×Dic₁₃	C₂²×Q₈	1	1	yes	characteristic
135	C₄×D₁₃	—	2	4	no	—
136	C₄×D₁₃	—	2	4	no	—
137	C₄×D₁₃	#106	1	8	yes	complemented
138	C₄×D₁₃	C₂×C₄²	1	2	yes	—
139	C₄×D₁₃	#117	1	2	yes	—
140	C₄×D₁₃	C₄×D₄	1	4	yes	—
141	C₄×D₁₃	C₄×Q₈	1	4	yes	—
142	C₄×D₁₃	C₂×SD₁₆	1	8	yes	—
143	C₄×D₁₃	C₂³×C₄	1	2	yes	—
144	C₄×D₁₃	C₂×#41	1	2	yes	—
145	C₈×C₁₃	—	2	2	no	—
146	C₈×C₁₃	C₂×C₄²	1	4	yes	complemented
147	#1055	—	2	2	no	—
148	#1055	C₂×C₄²	1	4	yes	complemented
149	C₂³×C₈	—	13	1	no	—
150	C₂³×C₈	—	13	1	no	—
151	C₂²×C₄⋊C₄	—	13	4	no	—
152	C₂²×C₄²	—	13	1	no	—
153	C₂²×C₄²	—	26	2	no	—
154	C₂×#106	—	13	16	no	—
155	C₂×#106	—	13	8	no	—
156	C₂×C₄×C₈	—	13	1	no	—
157	C₂×C₄×C₈	—	13	1	no	—
158	C₂×C₄×C₈	—	13	1	no	—
159	C₂×C₄×C₈	—	13	4	no	—
160	C₂×C₄×C₈	—	13	4	no	—
161	C₂×C₄×C₈	#261	1	1	yes	characteristic, complemented
162	C₄×C₄⋊C₄	—	13	8	no	—
163	C₄×C₄⋊C₄	—	26	4	no	—
164	C₂×#95	—	26	2	no	—
165	#340	—	13	8	no	—
166	C₂²×C₁₃	C₄×C₄⋊C₄	1	2	yes	—
167	C₂²×C₁₃	C₂×#106	1	2	yes	—
168	C₂²×C₁₃	#427	1	2	yes	—
169	C₂²×C₁₃	C₂²×C₄⋊C₄	1	1	yes	characteristic
170	C₂×D₁₃	C₄×C₄⋊C₄	1	2	yes	—
171	C₂×D₁₃	C₂×#106	1	2	yes	—
172	C₂×D₁₃	#427	1	2	yes	—
173	C₂×D₁₃	C₄×SD₁₆	1	16	yes	—
174	C₂×D₁₃	C₂×C₄×D₄	1	2	yes	—
175	C₂×D₁₃	C₂²×SD₁₆	1	2	yes	—
176	C₂×D₁₃	C₂×#135	1	2	yes	—
177	#261	—	4	16	no	—
178	C₄×C₁₃	—	2	2	no	—
179	C₄×C₁₃	C₄×C₄⋊C₄	1	2	yes	—
180	C₄×C₁₃	C₂×#106	1	4	yes	complemented
181	C₄×C₁₃	C₂²×C₄²	1	1	yes	characteristic
182	C₄×C₁₃	C₂×#117	1	1	yes	characteristic
183	Dic₁₃	—	2	2	no	—
184	Dic₁₃	C₄×C₄⋊C₄	1	2	yes	—
185	Dic₁₃	C₂×#106	1	4	yes	complemented
186	Dic₁₃	C₂×C₄×Q₈	1	2	yes	—
187	C₂³×C₄	—	13	1	no	—
188	C₂³×C₄	—	13	1	no	—
189	C₂³×C₄	—	13	1	no	—
190	C₂³×C₄	—	26	4	no	—
191	C₂²×C₈	—	13	1	no	—
192	C₂²×C₈	—	13	8	no	—
193	C₂²×C₈	—	13	2	no	—
194	C₂²×C₈	—	13	2	no	—
195	C₂²×C₈	—	13	1	no	—
196	C₂²×C₈	—	13	2	no	—
197	C₂²×C₈	—	13	2	no	—
198	C₂²×C₈	—	26	4	no	—
199	C₂²×C₈	C₂×#261	1	1	yes	characteristic
200	C₂²×C₈	C₂×#261	1	1	yes	characteristic
201	C₂×C₄⋊C₄	—	13	8	no	—
202	C₂×C₄⋊C₄	—	13	16	no	—
203	C₂×C₄⋊C₄	—	26	4	no	—
204	C₂×C₄⋊C₄	—	26	8	no	—
205	C₂×C₄²	—	13	1	no	—
206	C₂×C₄²	—	13	1	no	—
207	C₂×C₄²	—	13	1	no	—
208	C₂×C₄²	—	13	2	no	—
209	C₂×C₄²	—	13	2	no	—
210	C₂×C₄²	—	13	2	no	—
211	C₂×C₄²	—	13	2	no	—
212	C₂×C₄²	—	26	8	no	—
213	C₂×C₄²	—	52	8	no	—
214	C₂×C₄²	C₂×#261	1	1	yes	characteristic
215	#106	—	13	32	no	—
216	C₄×C₈	—	13	4	no	—
217	C₄×C₈	—	13	4	no	—
218	C₄×C₈	—	13	4	no	—
219	C₄×C₈	C₂×#261	1	4	yes	complemented
220	#95	—	26	8	no	—
221	C₂×C₁₃	C₄×#106	1	4	yes	complemented
222	C₂×C₁₃	C₂×C₄×C₄⋊C₄	1	1	yes	characteristic
223	C₂×C₁₃	C₂²×#106	1	1	yes	characteristic
224	C₂×C₁₃	C₂×#427	1	1	yes	characteristic
225	D₁₃	C₄×#106	1	4	yes	complemented
226	D₁₃	C₂×C₄×SD₁₆	1	4	yes	—
227	C₂⁴	—	13	1	no	—
228	C₂²×C₄	—	13	1	no	—
229	C₂²×C₄	—	13	1	no	—
230	C₂²×C₄	—	13	8	no	—
231	C₂²×C₄	—	13	4	no	—
232	C₂²×C₄	—	13	2	no	—
233	C₂²×C₄	—	13	1	no	—
234	C₂²×C₄	—	13	2	no	—
235	C₂²×C₄	—	13	1	no	—
236	C₂²×C₄	—	13	4	no	—
237	C₂²×C₄	—	13	1	no	—
238	C₂²×C₄	—	13	1	no	—
239	C₂²×C₄	—	13	1	no	—
240	C₂²×C₄	—	13	2	no	—
241	C₂²×C₄	—	13	2	no	—
242	C₂²×C₄	—	26	4	no	—
243	C₂²×C₄	—	26	8	no	—
244	C₂²×C₄	—	26	16	no	—
245	C₂²×C₄	—	52	8	no	—
246	C₂²×C₄	—	52	8	no	—
247	C₂²×C₄	C₄⋊#261	1	1	yes	characteristic
248	C₂²×C₄	C₄⋊#261	1	1	yes	characteristic
249	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
250	C₂×C₈	—	2	2	no	—
251	C₂×C₈	—	13	4	no	—
252	C₂×C₈	—	13	2	no	—
253	C₂×C₈	—	13	8	no	—
254	C₂×C₈	—	13	8	no	—
255	C₂×C₈	—	13	2	no	—
256	C₂×C₈	—	26	4	no	—
257	C₂×C₈	—	26	4	no	—
258	C₂×C₈	—	26	2	no	—
259	C₂×C₈	C₄×#261	1	4	yes	complemented
260	C₂×C₈	C₂²×#261	1	2	yes	—
261	C₂×C₈	C₂²×#261	1	2	yes	—
262	C₄⋊C₄	—	13	16	no	—
263	C₄⋊C₄	—	26	16	no	—
264	C₄⋊C₄	—	26	8	no	—
265	C₄²	—	13	2	no	—
266	C₄²	—	13	2	no	—
267	C₄²	—	13	2	no	—
268	C₄²	—	13	2	no	—
269	C₄²	—	13	2	no	—
270	C₄²	—	13	2	no	—
271	C₄²	—	52	16	no	—
272	C₄²	C₄⋊#261	1	2	yes	—
273	C₄²	C₂²×#261	1	2	yes	—
274	C₁₃	C₂×C₄×#106	1	1	yes	characteristic, complemented, Sylow
275	C₂³	—	13	4	no	—
276	C₂³	—	13	4	no	—
277	C₂³	—	13	4	no	—
278	C₂³	—	13	1	no	—
279	C₂³	—	13	1	no	—
280	C₂³	C₂×C₄⋊#261	1	1	yes	characteristic
281	C₂×C₄	—	2	2	no	—
282	C₂×C₄	—	13	4	no	—
283	C₂×C₄	—	13	4	no	—
284	C₂×C₄	—	13	1	no	—
285	C₂×C₄	—	13	2	no	—
286	C₂×C₄	—	13	1	no	—
287	C₂×C₄	—	13	4	no	—
288	C₂×C₄	—	13	4	no	—
289	C₂×C₄	—	13	8	no	—
290	C₂×C₄	—	13	8	no	—
291	C₂×C₄	—	13	2	no	—
292	C₂×C₄	—	13	2	no	—
293	C₂×C₄	—	13	2	no	—
294	C₂×C₄	—	13	2	no	—
295	C₂×C₄	—	13	2	no	—
296	C₂×C₄	—	26	4	no	—
297	C₂×C₄	—	26	4	no	—
298	C₂×C₄	—	26	2	no	—
299	C₂×C₄	—	26	16	no	—
300	C₂×C₄	—	52	8	no	—
301	C₂×C₄	—	52	32	no	—
302	C₂×C₄	—	52	8	no	—
303	C₂×C₄	#88101	1	4	yes	direct product factor
304	C₂×C₄	C₂×C₄×#261	1	2	yes	—
305	C₂×C₄	C₂×C₄⋊#261	1	2	yes	—
306	C₂×C₄	C₂×C₄⋊#261	1	1	yes	characteristic
307	C₂×C₄	C₂×C₄⋊#261	1	2	yes	—
308	C₂×C₄	#88237	1	2	yes	—
309	C₂×C₄	C₂³×#261	1	1	yes	characteristic
310	C₈	—	2	2	no	—
311	C₈	—	13	4	no	—
312	C₈	—	26	2	no	—
313	C₈	C₂×C₄×#261	1	4	yes	complemented
314	C₂²	—	13	2	no	—
315	C₂²	—	13	2	no	—
316	C₂²	—	13	16	no	—
317	C₂²	—	13	2	no	—
318	C₂²	—	13	2	no	—
319	C₂²	—	13	2	no	—
320	C₂²	—	13	2	no	—
321	C₂²	C₄×C₄⋊#261	1	2	yes	—
322	C₂²	C₂×#88101	1	2	yes	—
323	C₂²	#11719092	1	2	yes	—
324	C₂²	C₂²×C₄⋊#261	1	1	yes	characteristic
325	C₄	—	2	2	no	—
326	C₄	—	13	2	no	—
327	C₄	—	13	2	no	—
328	C₄	—	13	4	no	—
329	C₄	—	26	2	no	—
330	C₄	—	52	16	no	—
331	C₄	C₄×C₄⋊#261	1	2	yes	—
332	C₄	C₂×#88101	1	4	yes	direct product factor
333	C₄	C₂²×C₄×#261	1	1	yes	characteristic
334	C₄	C₂×#88237	1	1	yes	characteristic
335	C₂	—	13	4	no	—
336	C₂	—	13	4	no	—
337	C₂	C₄×#88101	1	4	yes	direct product factor
338	C₂	C₂×C₄×C₄⋊#261	1	1	yes	characteristic
339	C₂	C₂²×#88101	1	1	yes	characteristic
340	C₂	C₂×#11719092	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₄⋊#261
commutator	C₄×C₁₃	C₂²×C₄²
Frattini	C₂×C₄	C₂³×#261
Fitting	C₂×C₄×C₈×C₁₃	C₄
socle	C₂³×C₁₃	C₂×C₄⋊C₄
prime radical	C₂³×D₁₃	C₂×D₄
cosocle	C₂×C₄×D₁₃	C₂⁴
hypercenter	C₂×C₄×C₈	#261
hypocenter	C₁₃	C₂×C₄×#106
LCS	G ▷ C₄×C₁₃ ▷ C₂×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ C₂×C₄×C₈

Complements

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

N	H ≅ G/N	type
3. C₄×#88101	C₂	direct (N × H)
12. C₂×#88101	C₄	direct (N × H)
16. C₂×C₄×C₈×C₁₃	C₄	semidirect
17. C₂×C₈×Dic₁₃	C₄	semidirect
18. C₂×C₈×Dic₁₃	C₄	semidirect
19. C₂×C₄×#1055	C₄	semidirect
20. C₄×C₈×D₁₃	C₄	semidirect
52. #88101	C₂×C₄	direct (N × H)
53. C₄×C₈×C₁₃	C₂×C₄	semidirect
54. C₈×Dic₁₃	C₂×C₄	semidirect
55. C₈×Dic₁₃	C₂×C₄	semidirect
56. C₄×#1055	C₂×C₄	semidirect
86. C₂×C₈×C₁₃	C₄²	semidirect
98. C₂×#1055	C₄²	semidirect
103. C₈×D₁₃	C₄²	semidirect
121. C₂×C₄×C₁₃	#106	semidirect
129. C₂×Dic₁₃	#106	semidirect
137. C₄×D₁₃	#106	semidirect
146. C₈×C₁₃	C₂×C₄²	semidirect
148. #1055	C₂×C₄²	semidirect
161. C₂×C₄×C₈	#261	semidirect
180. C₄×C₁₃	C₂×#106	semidirect
185. Dic₁₃	C₂×#106	semidirect
219. C₄×C₈	C₂×#261	semidirect
221. C₂×C₁₃	C₄×#106	semidirect
225. D₁₃	C₄×#106	semidirect
259. C₂×C₈	C₄×#261	semidirect
274. C₁₃	C₂×C₄×#106	semidirect
303. C₂×C₄	#88101	direct (N × H)
313. C₈	C₂×C₄×#261	semidirect
332. C₄	C₂×#88101	direct (N × H)
337. C₂	C₄×#88101	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#88101	2
C₂×C₄×C₄⋊#261	2
C₄×#88101	2
C₂×#11718265	2
C₂×C₄×C₈×D₁₃	2
C₂×C₄×#106	13

Subgroups — C2×C4×#88101 #16797188

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₄×#88101 #16797188