Subgroups — C₆₇×#29341 #30708592

Order 17152.

730 conjugacy classes of subgroups.

The subgroup lattice has 376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₇×#2621	C₂	1	1	yes	maximal, characteristic
2	C₆₇×#2316	C₂	1	1	yes	maximal, characteristic
3	C₆₇×#2101	C₂	1	2	yes	maximal, complemented
4	C₆₇×#2043	C₂	1	2	yes	maximal, complemented
5	C₆₇×#1935	C₂	1	2	yes	maximal, complemented
6	C₆₇×#1933	C₂	1	2	yes	maximal, complemented
7	C₆₇×#1873	C₂	1	2	yes	maximal
8	C₆₇×#1872	C₂	1	2	yes	maximal
9	C₆₇×#1750	C₂	1	1	yes	maximal, characteristic
10	C₂×C₄⋊Q₈×C₆₇	C₂²	1	1	yes	characteristic
11	C₂×C₂²⋊Q₈×C₆₇	C₂²	1	2	yes	—
12	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
13	C₂×#117×C₆₇	C₂²	1	1	yes	characteristic
14	C₂²×C₄⋊C₄×C₆₇	C₂²	1	1	yes	characteristic
15	C₂×#103×C₆₇	C₂²	1	2	yes	—
16	C₂×#103×C₆₇	C₂²	1	2	yes	—
17	C₂×#103×C₆₇	C₂²	1	2	yes	—
18	C₂×#103×C₆₇	C₂²	1	2	yes	—
19	C₂×C₂²⋊C₈×C₆₇	C₂²	1	2	yes	—
20	C₂×#97×C₆₇	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₈×C₆₇	C₂²	1	1	yes	characteristic
22	#398×C₆₇	—	2	2	no	—
23	#397×C₆₇	—	2	2	no	—
24	#391×C₆₇	C₂²	1	2	yes	—
25	#389×C₆₇	—	2	2	no	—
26	#389×C₆₇	C₂²	1	2	yes	—
27	#389×C₆₇	C₂²	1	2	yes	—
28	#382×C₆₇	C₂²	1	1	yes	characteristic
29	#380×C₆₇	—	2	2	no	—
30	#340×C₆₇	C₂²	1	2	yes	—
31	#340×C₆₇	C₂²	1	2	yes	—
32	#340×C₆₇	C₂²	1	2	yes	—
33	#340×C₆₇	C₂²	1	2	yes	—
34	#336×C₆₇	C₂²	1	2	yes	—
35	C₂²×Q₈×C₆₇	C₂³	1	2	yes	—
36	C₂³×C₄×C₆₇	—	2	1	no	—
37	C₂³×C₄×C₆₇	C₂³	1	1	yes	characteristic
38	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
39	C₂²×C₈×C₆₇	C₂³	1	2	yes	—
40	C₄⋊Q₈×C₆₇	—	4	1	no	—
41	C₄⋊Q₈×C₆₇	—	4	1	no	—
42	C₂²⋊Q₈×C₆₇	—	2	4	no	—
43	C₂²⋊Q₈×C₆₇	—	2	4	no	—
44	#117×C₆₇	—	4	1	no	—
45	#117×C₆₇	—	4	1	no	—
46	#117×C₆₇	—	4	1	no	—
47	#117×C₆₇	—	4	1	no	—
48	C₂×C₄⋊C₄×C₆₇	—	2	1	no	—
49	C₂×C₄⋊C₄×C₆₇	—	2	4	no	—
50	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
51	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
52	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
53	C₂×C₄⋊C₄×C₆₇	—	2	2	no	—
54	C₂×C₄⋊C₄×C₆₇	D₄	1	2	yes	—
55	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
56	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
57	C₂×C₄⋊C₄×C₆₇	C₂³	1	2	yes	—
58	C₂×C₂²⋊C₄×C₆₇	—	2	1	no	—
59	C₂×C₂²⋊C₄×C₆₇	—	2	2	no	—
60	C₂×C₂²⋊C₄×C₆₇	D₄	1	2	yes	—
61	C₂×C₄²×C₆₇	—	2	1	no	—
62	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₆₇	C₂³	1	1	yes	characteristic
64	#103×C₆₇	—	2	4	no	—
65	#103×C₆₇	—	2	4	no	—
66	#103×C₆₇	—	4	2	no	—
67	#103×C₆₇	—	4	2	no	—
68	C₂²⋊C₈×C₆₇	—	2	4	no	—
69	#97×C₆₇	—	4	1	no	—
70	C₄×C₈×C₆₇	—	4	1	no	—
71	#95×C₆₇	—	2	2	no	—
72	#95×C₆₇	—	2	2	no	—
73	#95×C₆₇	—	2	2	no	—
74	#95×C₆₇	—	2	4	no	—
75	C₂⁴×C₆₇	C₂×D₄	1	1	yes	characteristic
76	C₂×Q₈×C₆₇	—	2	2	no	—
77	C₂×Q₈×C₆₇	—	2	2	no	—
78	C₂×Q₈×C₆₇	—	2	2	no	—
79	C₂×Q₈×C₆₇	—	2	2	no	—
80	C₂×Q₈×C₆₇	—	2	2	no	—
81	C₂×Q₈×C₆₇	—	2	2	no	—
82	C₂²×C₄×C₆₇	—	2	2	no	—
83	C₂²×C₄×C₆₇	—	2	1	no	—
84	C₂²×C₄×C₆₇	—	2	1	no	—
85	C₂²×C₄×C₆₇	—	2	2	no	—
86	C₂²×C₄×C₆₇	—	2	4	no	—
87	C₂²×C₄×C₆₇	—	2	2	no	—
88	C₂²×C₄×C₆₇	—	2	2	no	—
89	C₂²×C₄×C₆₇	—	2	2	no	—
90	C₂²×C₄×C₆₇	—	8	2	no	—
91	C₂²×C₄×C₆₇	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₆₇	C₂×D₄	1	2	yes	—
93	C₂²×C₄×C₆₇	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₆₇	#41	1	4	yes	—
95	C₂²×C₄×C₆₇	C₂⁴	1	1	yes	characteristic
96	C₂×C₈×C₆₇	—	2	2	no	—
97	C₂×C₈×C₆₇	—	2	2	no	—
98	C₂×C₈×C₆₇	—	2	2	no	—
99	C₂×C₈×C₆₇	—	2	2	no	—
100	C₂×C₈×C₆₇	—	2	2	no	—
101	C₂×C₈×C₆₇	—	2	2	no	—
102	C₄⋊C₄×C₆₇	—	2	4	no	—
103	C₄⋊C₄×C₆₇	—	2	2	no	—
104	C₄⋊C₄×C₆₇	—	2	2	no	—
105	C₄⋊C₄×C₆₇	—	2	2	no	—
106	C₄⋊C₄×C₆₇	—	2	2	no	—
107	C₄⋊C₄×C₆₇	—	2	2	no	—
108	C₄⋊C₄×C₆₇	—	4	2	no	—
109	C₄⋊C₄×C₆₇	—	4	4	no	—
110	C₄⋊C₄×C₆₇	—	4	4	no	—
111	C₄⋊C₄×C₆₇	—	8	2	no	—
112	C₄⋊C₄×C₆₇	—	8	2	no	—
113	C₄⋊C₄×C₆₇	#41	1	4	yes	—
114	C₂²⋊C₄×C₆₇	—	4	2	no	—
115	C₂²⋊C₄×C₆₇	—	4	2	no	—
116	C₂²⋊C₄×C₆₇	—	4	4	no	—
117	C₄²×C₆₇	—	2	1	no	—
118	C₄²×C₆₇	—	2	1	no	—
119	C₄²×C₆₇	—	2	1	no	—
120	C₄²×C₆₇	—	2	1	no	—
121	C₄²×C₆₇	—	4	2	no	—
122	C₂³×C₆₇	—	2	1	no	—
123	C₂³×C₆₇	—	2	1	no	—
124	C₂³×C₆₇	—	2	2	no	—
125	C₂³×C₆₇	—	2	2	no	—
126	C₂³×C₆₇	#124	1	2	yes	—
127	C₂³×C₆₇	C₂²×D₄	1	1	yes	characteristic
128	Q₈×C₆₇	—	4	2	no	—
129	Q₈×C₆₇	—	4	2	no	—
130	Q₈×C₆₇	—	4	2	no	—
131	Q₈×C₆₇	—	4	2	no	—
132	C₂×C₄×C₆₇	—	2	1	no	—
133	C₂×C₄×C₆₇	—	2	1	no	—
134	C₂×C₄×C₆₇	—	2	4	no	—
135	C₂×C₄×C₆₇	—	2	4	no	—
136	C₂×C₄×C₆₇	—	2	4	no	—
137	C₂×C₄×C₆₇	—	2	2	no	—
138	C₂×C₄×C₆₇	—	2	2	no	—
139	C₂×C₄×C₆₇	—	2	2	no	—
140	C₂×C₄×C₆₇	—	2	2	no	—
141	C₂×C₄×C₆₇	—	2	2	no	—
142	C₂×C₄×C₆₇	—	2	2	no	—
143	C₂×C₄×C₆₇	—	4	2	no	—
144	C₂×C₄×C₆₇	—	4	2	no	—
145	C₂×C₄×C₆₇	—	4	2	no	—
146	C₂×C₄×C₆₇	—	4	2	no	—
147	C₂×C₄×C₆₇	—	4	2	no	—
148	C₂×C₄×C₆₇	—	4	2	no	—
149	C₂×C₄×C₆₇	—	4	2	no	—
150	C₂×C₄×C₆₇	—	4	2	no	—
151	C₂×C₄×C₆₇	—	4	2	no	—
152	C₂×C₄×C₆₇	—	4	2	no	—
153	C₂×C₄×C₆₇	—	4	2	no	—
154	C₂×C₄×C₆₇	—	8	4	no	—
155	C₂×C₄×C₆₇	#124	1	2	yes	—
156	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
157	C₂×C₄×C₆₇	C₂×#41	1	2	yes	—
158	C₂×C₄×C₆₇	H(5,𝔽₂)	1	1	yes	characteristic
159	C₂×C₄×C₆₇	H(5,𝔽₂)	1	1	yes	characteristic
160	C₈×C₆₇	—	4	2	no	—
161	C₈×C₆₇	—	4	2	no	—
162	C₂²×C₆₇	—	2	2	no	—
163	C₂²×C₆₇	—	2	4	no	—
164	C₂²×C₆₇	—	4	1	no	—
165	C₂²×C₆₇	—	4	1	no	—
166	C₂²×C₆₇	—	4	2	no	—
167	C₂²×C₆₇	#525	1	1	yes	characteristic
168	C₂²×C₆₇	C₂×#124	1	1	yes	characteristic
169	C₂²×C₆₇	#534	1	1	yes	characteristic
170	C₂²×C₆₇	#577	1	2	yes	—
171	C₂²×C₆₇	#578	1	2	yes	—
172	C₄×C₆₇	—	2	2	no	—
173	C₄×C₆₇	—	4	4	no	—
174	C₄×C₆₇	—	4	2	no	—
175	C₄×C₆₇	—	4	2	no	—
176	C₄×C₆₇	—	8	2	no	—
177	C₄×C₆₇	—	8	2	no	—
178	C₄×C₆₇	—	8	2	no	—
179	C₄×C₆₇	#553	1	2	yes	—
180	C₄×C₆₇	#553	1	2	yes	—
181	#29341	C₆₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
182	C₂×C₆₇	—	4	2	no	—
183	C₂×C₆₇	#2591	1	1	yes	characteristic
184	C₂×C₆₇	#3123	1	1	yes	characteristic
185	C₂×C₆₇	#3127	1	1	yes	characteristic
186	C₂×C₆₇	#3137	1	2	yes	—
187	C₂×C₆₇	#3201	1	2	yes	—
188	#2621	C₂×C₆₇	1	1	yes	characteristic
189	#2316	C₂×C₆₇	1	1	yes	characteristic
190	#2101	C₂×C₆₇	1	2	yes	complemented
191	#2043	C₂×C₆₇	1	2	yes	complemented
192	#1935	C₂×C₆₇	1	2	yes	complemented
193	#1933	C₂×C₆₇	1	2	yes	complemented
194	#1873	C₂×C₆₇	1	2	yes	—
195	#1872	C₂×C₆₇	1	2	yes	—
196	#1750	C₂×C₆₇	1	1	yes	characteristic
197	C₆₇	#29341	1	1	yes	characteristic, direct product factor, Sylow
198	C₂×C₄⋊Q₈	C₂²×C₆₇	1	1	yes	characteristic
199	C₂×C₂²⋊Q₈	C₂²×C₆₇	1	2	yes	—
200	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
201	C₂×#117	C₂²×C₆₇	1	1	yes	characteristic
202	C₂²×C₄⋊C₄	C₂²×C₆₇	1	1	yes	characteristic
203	C₂×#103	C₂²×C₆₇	1	2	yes	—
204	C₂×#103	C₂²×C₆₇	1	2	yes	—
205	C₂×#103	C₂²×C₆₇	1	2	yes	—
206	C₂×#103	C₂²×C₆₇	1	2	yes	—
207	C₂×C₂²⋊C₈	C₂²×C₆₇	1	2	yes	—
208	C₂×#97	C₂²×C₆₇	1	1	yes	characteristic
209	C₂×C₄×C₈	C₂²×C₆₇	1	1	yes	characteristic
210	#398	—	2	2	no	—
211	#397	—	2	2	no	—
212	#391	C₂²×C₆₇	1	2	yes	—
213	#389	—	2	2	no	—
214	#389	C₂²×C₆₇	1	2	yes	—
215	#389	C₂²×C₆₇	1	2	yes	—
216	#382	C₂²×C₆₇	1	1	yes	characteristic
217	#380	—	2	2	no	—
218	#340	C₂²×C₆₇	1	2	yes	—
219	#340	C₂²×C₆₇	1	2	yes	—
220	#340	C₂²×C₆₇	1	2	yes	—
221	#340	C₂²×C₆₇	1	2	yes	—
222	#336	C₂²×C₆₇	1	2	yes	—
223	C₂²×Q₈	C₂³×C₆₇	1	2	yes	—
224	C₂³×C₄	—	2	1	no	—
225	C₂³×C₄	C₂³×C₆₇	1	1	yes	characteristic
226	C₂²×C₈	C₂³×C₆₇	1	2	yes	—
227	C₂²×C₈	C₂³×C₆₇	1	2	yes	—
228	C₄⋊Q₈	—	4	1	no	—
229	C₄⋊Q₈	—	4	1	no	—
230	C₂²⋊Q₈	—	2	4	no	—
231	C₂²⋊Q₈	—	2	4	no	—
232	#117	—	4	1	no	—
233	#117	—	4	1	no	—
234	#117	—	4	1	no	—
235	#117	—	4	1	no	—
236	C₂×C₄⋊C₄	—	2	1	no	—
237	C₂×C₄⋊C₄	—	2	4	no	—
238	C₂×C₄⋊C₄	—	2	2	no	—
239	C₂×C₄⋊C₄	—	2	2	no	—
240	C₂×C₄⋊C₄	—	2	2	no	—
241	C₂×C₄⋊C₄	—	2	2	no	—
242	C₂×C₄⋊C₄	D₄×C₆₇	1	2	yes	—
243	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
244	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
245	C₂×C₄⋊C₄	C₂³×C₆₇	1	2	yes	—
246	C₂×C₂²⋊C₄	—	2	1	no	—
247	C₂×C₂²⋊C₄	—	2	2	no	—
248	C₂×C₂²⋊C₄	D₄×C₆₇	1	2	yes	—
249	C₂×C₄²	—	2	1	no	—
250	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
251	C₂×C₄²	C₂³×C₆₇	1	1	yes	characteristic
252	#103	—	2	4	no	—
253	#103	—	2	4	no	—
254	#103	—	4	2	no	—
255	#103	—	4	2	no	—
256	C₂²⋊C₈	—	2	4	no	—
257	#97	—	4	1	no	—
258	C₄×C₈	—	4	1	no	—
259	#95	—	2	2	no	—
260	#95	—	2	2	no	—
261	#95	—	2	2	no	—
262	#95	—	2	4	no	—
263	C₂⁴	C₂×D₄×C₆₇	1	1	yes	characteristic
264	C₂×Q₈	—	2	2	no	—
265	C₂×Q₈	—	2	2	no	—
266	C₂×Q₈	—	2	2	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	2	2	no	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	—	2	1	no	—
272	C₂²×C₄	—	2	1	no	—
273	C₂²×C₄	—	2	2	no	—
274	C₂²×C₄	—	2	4	no	—
275	C₂²×C₄	—	2	2	no	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	8	2	no	—
279	C₂²×C₄	C₂×D₄×C₆₇	1	2	yes	—
280	C₂²×C₄	C₂×D₄×C₆₇	1	2	yes	—
281	C₂²×C₄	C₂×D₄×C₆₇	1	1	yes	characteristic
282	C₂²×C₄	#41×C₆₇	1	4	yes	—
283	C₂²×C₄	C₂⁴×C₆₇	1	1	yes	characteristic
284	C₂×C₈	—	2	2	no	—
285	C₂×C₈	—	2	2	no	—
286	C₂×C₈	—	2	2	no	—
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	2	2	no	—
290	C₄⋊C₄	—	2	4	no	—
291	C₄⋊C₄	—	2	2	no	—
292	C₄⋊C₄	—	2	2	no	—
293	C₄⋊C₄	—	2	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	4	2	no	—
297	C₄⋊C₄	—	4	4	no	—
298	C₄⋊C₄	—	4	4	no	—
299	C₄⋊C₄	—	8	2	no	—
300	C₄⋊C₄	—	8	2	no	—
301	C₄⋊C₄	#41×C₆₇	1	4	yes	—
302	C₂²⋊C₄	—	4	2	no	—
303	C₂²⋊C₄	—	4	2	no	—
304	C₂²⋊C₄	—	4	4	no	—
305	C₄²	—	2	1	no	—
306	C₄²	—	2	1	no	—
307	C₄²	—	2	1	no	—
308	C₄²	—	2	1	no	—
309	C₄²	—	4	2	no	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	1	no	—
312	C₂³	—	2	2	no	—
313	C₂³	—	2	2	no	—
314	C₂³	#124×C₆₇	1	2	yes	—
315	C₂³	C₂²×D₄×C₆₇	1	1	yes	characteristic
316	Q₈	—	4	2	no	—
317	Q₈	—	4	2	no	—
318	Q₈	—	4	2	no	—
319	Q₈	—	4	2	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	2	4	no	—
324	C₂×C₄	—	2	4	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	2	no	—
327	C₂×C₄	—	2	2	no	—
328	C₂×C₄	—	2	2	no	—
329	C₂×C₄	—	2	2	no	—
330	C₂×C₄	—	2	2	no	—
331	C₂×C₄	—	4	2	no	—
332	C₂×C₄	—	4	2	no	—
333	C₂×C₄	—	4	2	no	—
334	C₂×C₄	—	4	2	no	—
335	C₂×C₄	—	4	2	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	2	no	—
342	C₂×C₄	—	8	4	no	—
343	C₂×C₄	#124×C₆₇	1	2	yes	—
344	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
345	C₂×C₄	C₂×#41×C₆₇	1	2	yes	—
346	C₂×C₄	H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
347	C₂×C₄	H(5,𝔽₂)×C₆₇	1	1	yes	characteristic
348	C₈	—	4	2	no	—
349	C₈	—	4	2	no	—
350	C₂²	—	2	2	no	—
351	C₂²	—	2	4	no	—
352	C₂²	—	4	1	no	—
353	C₂²	—	4	1	no	—
354	C₂²	—	4	2	no	—
355	C₂²	#525×C₆₇	1	1	yes	characteristic
356	C₂²	C₂×#124×C₆₇	1	1	yes	characteristic
357	C₂²	#534×C₆₇	1	1	yes	characteristic
358	C₂²	#577×C₆₇	1	2	yes	—
359	C₂²	#578×C₆₇	1	2	yes	—
360	C₄	—	2	2	no	—
361	C₄	—	4	4	no	—
362	C₄	—	4	2	no	—
363	C₄	—	4	2	no	—
364	C₄	—	8	2	no	—
365	C₄	—	8	2	no	—
366	C₄	—	8	2	no	—
367	C₄	#553×C₆₇	1	2	yes	—
368	C₄	#553×C₆₇	1	2	yes	—
369	C₂	—	4	2	no	—
370	C₂	C₆₇×#2591	1	1	yes	characteristic
371	C₂	C₆₇×#3123	1	1	yes	characteristic
372	C₂	C₆₇×#3127	1	1	yes	characteristic
373	C₂	C₆₇×#3137	1	2	yes	—
374	C₂	C₆₇×#3201	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₆₇	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₆₇
prime radical	C₂⁴×C₆₇	C₂×D₄
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₆₇ ◁ C₂×#117×C₆₇ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₆₇×#2101	C₂	semidirect
4. C₆₇×#2043	C₂	semidirect
5. C₆₇×#1935	C₂	semidirect
6. C₆₇×#1933	C₂	semidirect
181. #29341	C₆₇	direct (N × H)
190. #2101	C₂×C₆₇	semidirect
191. #2043	C₂×C₆₇	semidirect
192. #1935	C₂×C₆₇	semidirect
193. #1933	C₂×C₆₇	semidirect
197. C₆₇	#29341	direct (N × H)

Maximal subgroups

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

subgroup	index
C₆₇×#2621	2
C₆₇×#2316	2
C₆₇×#2101	2
C₆₇×#2043	2
C₆₇×#1935	2
C₆₇×#1933	2
C₆₇×#1873	2
C₆₇×#1872	2
C₆₇×#1750	2
#29341	67

Subgroups — C67×#29341 #30708592

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₆₇×#29341 #30708592