Subgroups — C₈₉×#29387 #36407235

Order 22784.

646 conjugacy classes of subgroups.

The subgroup lattice has 382 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#2956	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#2923	C₂	1	1	yes	maximal, characteristic, complemented
3	C₈₉×#2103	C₂	1	1	yes	maximal, characteristic, complemented
4	C₈₉×#2098	C₂	1	1	yes	maximal, characteristic, complemented
5	C₈₉×#2053	C₂	1	1	yes	maximal, characteristic, complemented
6	C₈₉×#2017	C₂	1	1	yes	maximal, characteristic
7	C₈₉×#1938	C₂	1	2	yes	maximal, complemented
8	C₈₉×#1906	C₂	1	2	yes	maximal, complemented
9	C₈₉×#1881	C₂	1	2	yes	maximal, complemented
10	C₈₉×#1868	C₂	1	2	yes	maximal, complemented
11	C₈₉×#1841	C₂	1	1	yes	maximal, characteristic, complemented
12	#575×C₈₉	C₂²	1	1	yes	characteristic
13	#575×C₈₉	C₂²	1	2	yes	—
14	#568×C₈₉	C₂²	1	2	yes	—
15	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
16	#444×C₈₉	—	2	2	no	—
17	#443×C₈₉	—	2	2	no	—
18	#433×C₈₉	—	2	2	no	—
19	#432×C₈₉	—	2	2	no	—
20	#430×C₈₉	C₂²	1	1	yes	characteristic
21	#424×C₈₉	C₂²	1	1	yes	characteristic
22	#424×C₈₉	C₂²	1	1	yes	characteristic
23	#424×C₈₉	C₂²	1	2	yes	—
24	#421×C₈₉	C₂²	1	2	yes	—
25	C₂×#104×C₈₉	C₂²	1	2	yes	—
26	#416×C₈₉	C₂²	1	2	yes	—
27	#410×C₈₉	C₂²	1	2	yes	—
28	#408×C₈₉	C₂²	1	1	yes	characteristic
29	#408×C₈₉	C₂²	1	1	yes	characteristic
30	#408×C₈₉	C₂²	1	2	yes	—
31	C₄×M₁₆×C₈₉	C₂²	1	1	yes	characteristic
32	C₂×#97×C₈₉	C₂²	1	1	yes	characteristic
33	#344×C₈₉	C₂²	1	2	yes	—
34	#344×C₈₉	C₂²	1	2	yes	—
35	#341×C₈₉	C₂²	1	2	yes	—
36	#339×C₈₉	C₂²	1	2	yes	—
37	#338×C₈₉	C₂²	1	1	yes	characteristic
38	H(3,ℤ/4)×C₈₉	C₂²	1	1	yes	characteristic
39	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
40	C₂×#41×C₈₉	C₂³	1	2	yes	—
41	#137×C₈₉	—	2	2	no	—
42	#137×C₈₉	—	2	2	no	—
43	#137×C₈₉	—	2	2	no	—
44	AGL(1,ℤ/8)×C₈₉	—	2	2	no	—
45	AGL(1,ℤ/8)×C₈₉	—	2	2	no	—
46	AGL(1,ℤ/8)×C₈₉	—	2	2	no	—
47	#135×C₈₉	—	2	2	no	—
48	#135×C₈₉	—	4	2	no	—
49	#131×C₈₉	—	2	4	no	—
50	#131×C₈₉	—	4	2	no	—
51	C₂×M₁₆×C₈₉	—	4	2	no	—
52	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
53	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
54	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
55	C₂×M₁₆×C₈₉	C₂³	1	1	yes	characteristic
56	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
57	C₂²×C₈×C₈₉	C₂³	1	1	yes	characteristic
58	C₄×Q₈×C₈₉	—	2	1	no	—
59	C₄×D₄×C₈₉	—	2	1	no	—
60	C₄×D₄×C₈₉	—	2	2	no	—
61	#117×C₈₉	—	2	1	no	—
62	#117×C₈₉	C₂³	1	2	yes	—
63	#117×C₈₉	C₂³	1	1	yes	characteristic
64	C₂×C₄²×C₈₉	—	2	1	no	—
65	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
66	#108×C₈₉	—	2	2	no	—
67	C₄⋊C₈×C₈₉	—	2	2	no	—
68	C₄⋊C₈×C₈₉	—	2	2	no	—
69	C₄⋊C₈×C₈₉	—	4	2	no	—
70	#104×C₈₉	—	2	2	no	—
71	#104×C₈₉	—	2	2	no	—
72	#104×C₈₉	—	4	2	no	—
73	#103×C₈₉	—	2	2	no	—
74	#102×C₈₉	—	2	2	no	—
75	#99×C₈₉	—	2	4	no	—
76	C₂²⋊C₈×C₈₉	—	2	2	no	—
77	C₂²⋊C₈×C₈₉	—	2	2	no	—
78	C₂²⋊C₈×C₈₉	—	4	2	no	—
79	#97×C₈₉	—	2	1	no	—
80	#97×C₈₉	—	2	1	no	—
81	#97×C₈₉	D₄	1	2	yes	—
82	C₄×C₈×C₈₉	D₄	1	2	yes	—
83	#41×C₈₉	—	2	2	no	—
84	#41×C₈₉	—	2	2	no	—
85	#41×C₈₉	—	2	2	no	—
86	#41×C₈₉	—	2	2	no	—
87	#41×C₈₉	—	2	2	no	—
88	#41×C₈₉	—	2	2	no	—
89	C₂×Q₈×C₈₉	#41	1	2	yes	—
90	C₂×Q₈×C₈₉	#41	1	1	yes	characteristic
91	C₂×D₄×C₈₉	—	2	2	no	—
92	C₂×D₄×C₈₉	—	2	1	no	—
93	C₂×D₄×C₈₉	#41	1	2	yes	—
94	C₂×D₄×C₈₉	#41	1	1	yes	characteristic
95	C₂²×C₄×C₈₉	—	2	2	no	—
96	C₂²×C₄×C₈₉	—	2	1	no	—
97	C₂²×C₄×C₈₉	—	2	1	no	—
98	C₂²×C₄×C₈₉	—	2	2	no	—
99	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
100	Q₁₆×C₈₉	—	2	2	no	—
101	Q₁₆×C₈₉	—	4	2	no	—
102	SD₁₆×C₈₉	—	2	4	no	—
103	SD₁₆×C₈₉	—	4	2	no	—
104	SD₁₆×C₈₉	—	4	2	no	—
105	D₈×C₈₉	—	2	2	no	—
106	D₈×C₈₉	—	4	2	no	—
107	M₁₆×C₈₉	—	2	2	no	—
108	M₁₆×C₈₉	—	2	2	no	—
109	M₁₆×C₈₉	—	2	2	no	—
110	M₁₆×C₈₉	—	2	2	no	—
111	M₁₆×C₈₉	—	2	2	no	—
112	M₁₆×C₈₉	—	2	2	no	—
113	M₁₆×C₈₉	—	4	4	no	—
114	C₂×C₈×C₈₉	—	2	1	no	—
115	C₂×C₈×C₈₉	—	2	1	no	—
116	C₂×C₈×C₈₉	—	2	2	no	—
117	C₂×C₈×C₈₉	—	2	2	no	—
118	C₂×C₈×C₈₉	—	2	2	no	—
119	C₂×C₈×C₈₉	—	2	2	no	—
120	C₂×C₈×C₈₉	—	4	4	no	—
121	C₂×C₈×C₈₉	C₂×D₄	1	2	yes	—
122	C₂×C₈×C₈₉	C₂×D₄	1	2	yes	—
123	C₄⋊C₄×C₈₉	—	2	2	no	—
124	C₄⋊C₄×C₈₉	—	2	1	no	—
125	C₄⋊C₄×C₈₉	—	2	2	no	—
126	C₂²⋊C₄×C₈₉	—	2	2	no	—
127	C₂²⋊C₄×C₈₉	—	2	2	no	—
128	C₂²⋊C₄×C₈₉	#41	1	2	yes	—
129	C₄²×C₈₉	—	2	2	no	—
130	C₄²×C₈₉	—	2	1	no	—
131	C₄²×C₈₉	—	2	1	no	—
132	C₄²×C₈₉	—	2	2	no	—
133	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₈₉	C₂×D₄	1	1	yes	characteristic
135	C₂³×C₈₉	—	2	1	no	—
136	C₂³×C₈₉	—	2	2	no	—
137	C₂³×C₈₉	C₂×#41	1	1	yes	characteristic
138	Q₈×C₈₉	—	2	2	no	—
139	Q₈×C₈₉	—	2	2	no	—
140	Q₈×C₈₉	—	2	2	no	—
141	D₄×C₈₉	—	2	2	no	—
142	D₄×C₈₉	—	2	2	no	—
143	D₄×C₈₉	—	2	2	no	—
144	D₄×C₈₉	—	4	2	no	—
145	D₄×C₈₉	—	4	2	no	—
146	D₄×C₈₉	—	4	2	no	—
147	C₂×C₄×C₈₉	—	2	1	no	—
148	C₂×C₄×C₈₉	—	2	2	no	—
149	C₂×C₄×C₈₉	—	2	1	no	—
150	C₂×C₄×C₈₉	—	2	1	no	—
151	C₂×C₄×C₈₉	—	2	2	no	—
152	C₂×C₄×C₈₉	—	4	1	no	—
153	C₂×C₄×C₈₉	—	4	2	no	—
154	C₂×C₄×C₈₉	—	4	1	no	—
155	C₂×C₄×C₈₉	—	4	2	no	—
156	C₂×C₄×C₈₉	—	4	2	no	—
157	C₂×C₄×C₈₉	—	8	1	no	—
158	C₂×C₄×C₈₉	—	8	2	no	—
159	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
160	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
161	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
162	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
163	C₈×C₈₉	—	2	2	no	—
164	C₈×C₈₉	—	2	2	no	—
165	C₈×C₈₉	—	4	1	no	—
166	C₈×C₈₉	—	4	1	no	—
167	C₈×C₈₉	—	4	2	no	—
168	C₈×C₈₉	—	4	2	no	—
169	C₂²×C₈₉	—	4	1	no	—
170	C₂²×C₈₉	—	4	2	no	—
171	C₂²×C₈₉	—	4	1	no	—
172	C₂²×C₈₉	—	4	2	no	—
173	C₂²×C₈₉	—	8	2	no	—
174	C₂²×C₈₉	#525	1	1	yes	characteristic
175	C₂²×C₈₉	#553	1	2	yes	—
176	C₄×C₈₉	—	4	2	no	—
177	C₄×C₈₉	—	4	1	no	—
178	C₄×C₈₉	—	4	1	no	—
179	C₄×C₈₉	—	4	1	no	—
180	C₄×C₈₉	—	4	2	no	—
181	C₄×C₈₉	—	8	2	no	—
182	C₄×C₈₉	#525	1	1	yes	characteristic
183	C₄×C₈₉	#535	1	1	yes	characteristic
184	C₄×C₈₉	#551	1	2	yes	—
185	#29387	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
186	C₂×C₈₉	—	2	1	no	—
187	C₂×C₈₉	—	2	2	no	—
188	C₂×C₈₉	—	8	1	no	—
189	C₂×C₈₉	—	8	2	no	—
190	C₂×C₈₉	#2598	1	1	yes	characteristic
191	#2956	C₂×C₈₉	1	1	yes	characteristic, complemented
192	#2923	C₂×C₈₉	1	1	yes	characteristic, complemented
193	#2103	C₂×C₈₉	1	1	yes	characteristic, complemented
194	#2098	C₂×C₈₉	1	1	yes	characteristic, complemented
195	#2053	C₂×C₈₉	1	1	yes	characteristic, complemented
196	#2017	C₂×C₈₉	1	1	yes	characteristic
197	#1938	C₂×C₈₉	1	2	yes	complemented
198	#1906	C₂×C₈₉	1	2	yes	complemented
199	#1881	C₂×C₈₉	1	2	yes	complemented
200	#1868	C₂×C₈₉	1	2	yes	complemented
201	#1841	C₂×C₈₉	1	1	yes	characteristic, complemented
202	C₈₉	#29387	1	1	yes	characteristic, direct product factor, Sylow
203	#575	C₂²×C₈₉	1	1	yes	characteristic
204	#575	C₂²×C₈₉	1	2	yes	—
205	#568	C₂²×C₈₉	1	2	yes	—
206	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
207	#444	—	2	2	no	—
208	#443	—	2	2	no	—
209	#433	—	2	2	no	—
210	#432	—	2	2	no	—
211	#430	C₂²×C₈₉	1	1	yes	characteristic
212	#424	C₂²×C₈₉	1	1	yes	characteristic
213	#424	C₂²×C₈₉	1	1	yes	characteristic
214	#424	C₂²×C₈₉	1	2	yes	—
215	#421	C₂²×C₈₉	1	2	yes	—
216	C₂×#104	C₂²×C₈₉	1	2	yes	—
217	#416	C₂²×C₈₉	1	2	yes	—
218	#410	C₂²×C₈₉	1	2	yes	—
219	#408	C₂²×C₈₉	1	1	yes	characteristic
220	#408	C₂²×C₈₉	1	1	yes	characteristic
221	#408	C₂²×C₈₉	1	2	yes	—
222	C₄×M₁₆	C₂²×C₈₉	1	1	yes	characteristic
223	C₂×#97	C₂²×C₈₉	1	1	yes	characteristic
224	#344	C₂²×C₈₉	1	2	yes	—
225	#344	C₂²×C₈₉	1	2	yes	—
226	#341	C₂²×C₈₉	1	2	yes	—
227	#339	C₂²×C₈₉	1	2	yes	—
228	#338	C₂²×C₈₉	1	1	yes	characteristic
229	H(3,ℤ/4)	C₂²×C₈₉	1	1	yes	characteristic
230	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
231	C₂×#41	C₂³×C₈₉	1	2	yes	—
232	#137	—	2	2	no	—
233	#137	—	2	2	no	—
234	#137	—	2	2	no	—
235	AGL(1,ℤ/8)	—	2	2	no	—
236	AGL(1,ℤ/8)	—	2	2	no	—
237	AGL(1,ℤ/8)	—	2	2	no	—
238	#135	—	2	2	no	—
239	#135	—	4	2	no	—
240	#131	—	2	4	no	—
241	#131	—	4	2	no	—
242	C₂×M₁₆	—	4	2	no	—
243	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
244	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
245	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
246	C₂×M₁₆	C₂³×C₈₉	1	1	yes	characteristic
247	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
248	C₂²×C₈	C₂³×C₈₉	1	1	yes	characteristic
249	C₄×Q₈	—	2	1	no	—
250	C₄×D₄	—	2	1	no	—
251	C₄×D₄	—	2	2	no	—
252	#117	—	2	1	no	—
253	#117	C₂³×C₈₉	1	2	yes	—
254	#117	C₂³×C₈₉	1	1	yes	characteristic
255	C₂×C₄²	—	2	1	no	—
256	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
257	#108	—	2	2	no	—
258	C₄⋊C₈	—	2	2	no	—
259	C₄⋊C₈	—	2	2	no	—
260	C₄⋊C₈	—	4	2	no	—
261	#104	—	2	2	no	—
262	#104	—	2	2	no	—
263	#104	—	4	2	no	—
264	#103	—	2	2	no	—
265	#102	—	2	2	no	—
266	#99	—	2	4	no	—
267	C₂²⋊C₈	—	2	2	no	—
268	C₂²⋊C₈	—	2	2	no	—
269	C₂²⋊C₈	—	4	2	no	—
270	#97	—	2	1	no	—
271	#97	—	2	1	no	—
272	#97	D₄×C₈₉	1	2	yes	—
273	C₄×C₈	D₄×C₈₉	1	2	yes	—
274	#41	—	2	2	no	—
275	#41	—	2	2	no	—
276	#41	—	2	2	no	—
277	#41	—	2	2	no	—
278	#41	—	2	2	no	—
279	#41	—	2	2	no	—
280	C₂×Q₈	#41×C₈₉	1	2	yes	—
281	C₂×Q₈	#41×C₈₉	1	1	yes	characteristic
282	C₂×D₄	—	2	2	no	—
283	C₂×D₄	—	2	1	no	—
284	C₂×D₄	#41×C₈₉	1	2	yes	—
285	C₂×D₄	#41×C₈₉	1	1	yes	characteristic
286	C₂²×C₄	—	2	2	no	—
287	C₂²×C₄	—	2	1	no	—
288	C₂²×C₄	—	2	1	no	—
289	C₂²×C₄	—	2	2	no	—
290	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
291	Q₁₆	—	2	2	no	—
292	Q₁₆	—	4	2	no	—
293	SD₁₆	—	2	4	no	—
294	SD₁₆	—	4	2	no	—
295	SD₁₆	—	4	2	no	—
296	D₈	—	2	2	no	—
297	D₈	—	4	2	no	—
298	M₁₆	—	2	2	no	—
299	M₁₆	—	2	2	no	—
300	M₁₆	—	2	2	no	—
301	M₁₆	—	2	2	no	—
302	M₁₆	—	2	2	no	—
303	M₁₆	—	2	2	no	—
304	M₁₆	—	4	4	no	—
305	C₂×C₈	—	2	1	no	—
306	C₂×C₈	—	2	1	no	—
307	C₂×C₈	—	2	2	no	—
308	C₂×C₈	—	2	2	no	—
309	C₂×C₈	—	2	2	no	—
310	C₂×C₈	—	2	2	no	—
311	C₂×C₈	—	4	4	no	—
312	C₂×C₈	C₂×D₄×C₈₉	1	2	yes	—
313	C₂×C₈	C₂×D₄×C₈₉	1	2	yes	—
314	C₄⋊C₄	—	2	2	no	—
315	C₄⋊C₄	—	2	1	no	—
316	C₄⋊C₄	—	2	2	no	—
317	C₂²⋊C₄	—	2	2	no	—
318	C₂²⋊C₄	—	2	2	no	—
319	C₂²⋊C₄	#41×C₈₉	1	2	yes	—
320	C₄²	—	2	2	no	—
321	C₄²	—	2	1	no	—
322	C₄²	—	2	1	no	—
323	C₄²	—	2	2	no	—
324	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
325	C₄²	C₂×D₄×C₈₉	1	1	yes	characteristic
326	C₂³	—	2	1	no	—
327	C₂³	—	2	2	no	—
328	C₂³	C₂×#41×C₈₉	1	1	yes	characteristic
329	Q₈	—	2	2	no	—
330	Q₈	—	2	2	no	—
331	Q₈	—	2	2	no	—
332	D₄	—	2	2	no	—
333	D₄	—	2	2	no	—
334	D₄	—	2	2	no	—
335	D₄	—	4	2	no	—
336	D₄	—	4	2	no	—
337	D₄	—	4	2	no	—
338	C₂×C₄	—	2	1	no	—
339	C₂×C₄	—	2	2	no	—
340	C₂×C₄	—	2	1	no	—
341	C₂×C₄	—	2	1	no	—
342	C₂×C₄	—	2	2	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	2	no	—
350	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
351	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
352	C₂×C₄	C₂×#41×C₈₉	1	1	yes	characteristic
353	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
354	C₈	—	2	2	no	—
355	C₈	—	2	2	no	—
356	C₈	—	4	1	no	—
357	C₈	—	4	1	no	—
358	C₈	—	4	2	no	—
359	C₈	—	4	2	no	—
360	C₂²	—	4	1	no	—
361	C₂²	—	4	2	no	—
362	C₂²	—	4	1	no	—
363	C₂²	—	4	2	no	—
364	C₂²	—	8	2	no	—
365	C₂²	#525×C₈₉	1	1	yes	characteristic
366	C₂²	#553×C₈₉	1	2	yes	—
367	C₄	—	4	1	no	—
368	C₄	—	4	2	no	—
369	C₄	—	4	1	no	—
370	C₄	—	4	1	no	—
371	C₄	—	4	2	no	—
372	C₄	—	8	2	no	—
373	C₄	#525×C₈₉	1	1	yes	characteristic
374	C₄	#535×C₈₉	1	1	yes	characteristic
375	C₄	#551×C₈₉	1	2	yes	—
376	C₂	—	2	1	no	—
377	C₂	—	2	2	no	—
378	C₂	—	8	1	no	—
379	C₂	—	8	2	no	—
380	C₂	C₈₉×#2598	1	1	yes	characteristic

	subgroup	G/H
center	C₄×C₈₉	#535
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₈₉
socle	C₂×C₈₉	#2598
prime radical	C₈₉×#2017	C₂
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₄×C₈₉ ◁ C₂²×C₄×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×#2956	C₂	semidirect
2. C₈₉×#2923	C₂	semidirect
3. C₈₉×#2103	C₂	semidirect
4. C₈₉×#2098	C₂	semidirect
5. C₈₉×#2053	C₂	semidirect
7. C₈₉×#1938	C₂	semidirect
8. C₈₉×#1906	C₂	semidirect
9. C₈₉×#1881	C₂	semidirect
10. C₈₉×#1868	C₂	semidirect
11. C₈₉×#1841	C₂	semidirect
185. #29387	C₈₉	direct (N × H)
191. #2956	C₂×C₈₉	semidirect
192. #2923	C₂×C₈₉	semidirect
193. #2103	C₂×C₈₉	semidirect
194. #2098	C₂×C₈₉	semidirect
195. #2053	C₂×C₈₉	semidirect
197. #1938	C₂×C₈₉	semidirect
198. #1906	C₂×C₈₉	semidirect
199. #1881	C₂×C₈₉	semidirect
200. #1868	C₂×C₈₉	semidirect
201. #1841	C₂×C₈₉	semidirect
202. C₈₉	#29387	direct (N × H)

Maximal subgroups

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

subgroup	index
C₈₉×#2956	2
C₈₉×#2923	2
C₈₉×#2103	2
C₈₉×#2098	2
C₈₉×#2053	2
C₈₉×#2017	2
C₈₉×#1938	2
C₈₉×#1906	2
C₈₉×#1881	2
C₈₉×#1868	2
C₈₉×#1841	2
#29387	89

Subgroups — C89×#29387 #36407235

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#29387 #36407235