Subgroups — C₈₉×#29220 #36407068

Order 22784.

690 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#2859	C₂	1	1	yes	maximal, characteristic
2	C₄×C₄⋊Q₈×C₈₉	C₂	1	1	yes	maximal, characteristic
3	C₈₉×#2101	C₂	1	4	yes	maximal
4	C₈₉×#1990	C₂	1	1	yes	maximal, characteristic
5	C₈₉×#1990	C₂	1	1	yes	maximal, characteristic
6	C₈₉×#1989	C₂	1	4	yes	maximal
7	C₈₉×#1834	C₂	1	1	yes	maximal, characteristic
8	C₈₉×#1834	C₂	1	1	yes	maximal, characteristic
9	C₄×C₄⋊C₈×C₈₉	C₂	1	1	yes	maximal, characteristic
10	C₂×C₄⋊Q₈×C₈₉	C₂²	1	1	yes	characteristic
11	C₂×#125×C₈₉	C₂²	1	2	yes	—
12	C₂×C₄×Q₈×C₈₉	—	2	1	no	—
13	C₂×C₄⋊C₈×C₈₉	C₂²	1	2	yes	—
14	C₂×C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
15	C₂×C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
16	#391×C₈₉	—	2	1	no	—
17	#389×C₈₉	—	2	1	no	—
18	#389×C₈₉	—	2	1	no	—
19	#389×C₈₉	—	2	1	no	—
20	#389×C₈₉	—	2	1	no	—
21	#389×C₈₉	—	2	1	no	—
22	#389×C₈₉	C₂²	1	2	yes	—
23	#384×C₈₉	C₂²	1	1	yes	characteristic
24	#384×C₈₉	C₂²	1	1	yes	characteristic
25	#384×C₈₉	C₂²	1	1	yes	characteristic
26	#382×C₈₉	C₂²	1	2	yes	—
27	C₄×C₄⋊C₄×C₈₉	—	2	1	no	—
28	C₄×C₄⋊C₄×C₈₉	C₂²	1	2	yes	—
29	C₄³×C₈₉	C₂²	1	1	yes	characteristic
30	#340×C₈₉	C₂²	1	4	yes	—
31	#340×C₈₉	C₂²	1	4	yes	—
32	#340×C₈₉	C₂²	1	4	yes	—
33	#340×C₈₉	C₂²	1	4	yes	—
34	#336×C₈₉	C₂²	1	2	yes	—
35	C₂²×Q₈×C₈₉	—	2	1	no	—
36	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
37	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
38	C₄⋊Q₈×C₈₉	—	2	2	no	—
39	C₄⋊Q₈×C₈₉	Q₈	1	4	yes	—
40	#125×C₈₉	—	2	8	no	—
41	C₄×Q₈×C₈₉	—	4	4	no	—
42	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
43	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
44	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
45	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
46	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
47	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
48	C₂×C₄⋊C₄×C₈₉	—	2	1	no	—
49	C₂×C₄⋊C₄×C₈₉	—	2	2	no	—
50	C₂×C₄⋊C₄×C₈₉	—	2	2	no	—
51	C₂×C₄⋊C₄×C₈₉	—	2	2	no	—
52	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
53	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
54	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
55	C₂×C₄⋊C₄×C₈₉	C₂³	1	2	yes	—
56	C₂×C₄²×C₈₉	—	2	2	no	—
57	C₂×C₄²×C₈₉	D₄	1	1	yes	characteristic
58	C₂×C₄²×C₈₉	D₄	1	1	yes	characteristic
59	C₂×C₄²×C₈₉	D₄	1	1	yes	characteristic
60	C₂×C₄²×C₈₉	D₄	1	1	yes	characteristic
61	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
62	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
63	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
64	C₄⋊C₈×C₈₉	—	2	4	no	—
65	C₄×C₈×C₈₉	—	2	2	no	—
66	C₄×C₈×C₈₉	—	2	2	no	—
67	#95×C₈₉	—	2	2	no	—
68	#95×C₈₉	—	2	2	no	—
69	#95×C₈₉	—	2	2	no	—
70	#95×C₈₉	—	2	2	no	—
71	C₂×Q₈×C₈₉	—	2	4	no	—
72	C₂×Q₈×C₈₉	—	4	2	no	—
73	C₂×Q₈×C₈₉	—	4	2	no	—
74	C₂²×C₄×C₈₉	—	2	2	no	—
75	C₂²×C₄×C₈₉	—	2	2	no	—
76	C₂²×C₄×C₈₉	—	2	2	no	—
77	C₂²×C₄×C₈₉	—	2	2	no	—
78	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
79	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
81	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
82	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
83	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
84	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
85	C₂×C₈×C₈₉	—	2	2	no	—
86	C₂×C₈×C₈₉	—	2	2	no	—
87	C₂×C₈×C₈₉	—	2	2	no	—
88	C₂×C₈×C₈₉	—	2	2	no	—
89	C₂×C₈×C₈₉	—	2	2	no	—
90	C₂×C₈×C₈₉	—	2	2	no	—
91	C₄⋊C₄×C₈₉	—	2	4	no	—
92	C₄⋊C₄×C₈₉	—	2	2	no	—
93	C₄⋊C₄×C₈₉	—	2	4	no	—
94	C₄⋊C₄×C₈₉	—	2	4	no	—
95	C₄⋊C₄×C₈₉	—	2	4	no	—
96	C₄⋊C₄×C₈₉	—	4	4	no	—
97	C₄⋊C₄×C₈₉	—	4	4	no	—
98	C₄⋊C₄×C₈₉	—	4	4	no	—
99	C₄⋊C₄×C₈₉	—	4	2	no	—
100	C₄⋊C₄×C₈₉	—	4	2	no	—
101	C₄⋊C₄×C₈₉	—	4	2	no	—
102	C₄⋊C₄×C₈₉	—	4	2	no	—
103	C₄⋊C₄×C₈₉	—	4	2	no	—
104	C₄⋊C₄×C₈₉	—	4	2	no	—
105	C₄⋊C₄×C₈₉	C₂×Q₈	1	4	yes	—
106	C₄²×C₈₉	—	2	2	no	—
107	C₄²×C₈₉	—	2	2	no	—
108	C₄²×C₈₉	—	2	2	no	—
109	C₄²×C₈₉	—	2	2	no	—
110	C₄²×C₈₉	—	2	2	no	—
111	C₄²×C₈₉	—	4	4	no	—
112	C₄²×C₈₉	C₂×Q₈	1	2	yes	—
113	C₄²×C₈₉	#41	1	2	yes	—
114	C₄²×C₈₉	#41	1	4	yes	—
115	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
116	Q₈×C₈₉	—	4	8	no	—
117	C₂×C₄×C₈₉	—	2	1	no	—
118	C₂×C₄×C₈₉	—	2	1	no	—
119	C₂×C₄×C₈₉	—	2	1	no	—
120	C₂×C₄×C₈₉	—	2	1	no	—
121	C₂×C₄×C₈₉	—	2	4	no	—
122	C₂×C₄×C₈₉	—	2	1	no	—
123	C₂×C₄×C₈₉	—	2	1	no	—
124	C₂×C₄×C₈₉	—	2	1	no	—
125	C₂×C₄×C₈₉	—	2	1	no	—
126	C₂×C₄×C₈₉	—	2	1	no	—
127	C₂×C₄×C₈₉	—	2	1	no	—
128	C₂×C₄×C₈₉	—	4	2	no	—
129	C₂×C₄×C₈₉	—	4	2	no	—
130	C₂×C₄×C₈₉	—	4	2	no	—
131	C₂×C₄×C₈₉	—	4	2	no	—
132	C₂×C₄×C₈₉	—	4	2	no	—
133	C₂×C₄×C₈₉	—	4	2	no	—
134	C₂×C₄×C₈₉	—	4	2	no	—
135	C₂×C₄×C₈₉	—	4	2	no	—
136	C₂×C₄×C₈₉	—	4	2	no	—
137	C₂×C₄×C₈₉	—	4	2	no	—
138	C₂×C₄×C₈₉	—	4	2	no	—
139	C₂×C₄×C₈₉	C₂²⋊Q₈	1	2	yes	—
140	C₂×C₄×C₈₉	C₂²⋊Q₈	1	2	yes	—
141	C₂×C₄×C₈₉	#124	1	2	yes	—
142	C₂×C₄×C₈₉	#124	1	2	yes	—
143	C₂×C₄×C₈₉	#135	1	2	yes	—
144	C₂×C₄×C₈₉	#135	1	2	yes	—
145	C₂×C₄×C₈₉	AGL(1,ℤ/8)	1	2	yes	—
146	C₂×C₄×C₈₉	#137	1	2	yes	—
147	C₂×C₄×C₈₉	C₂²×Q₈	1	1	yes	characteristic
148	C₂×C₄×C₈₉	C₂×#41	1	1	yes	characteristic
149	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
150	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
151	C₈×C₈₉	—	4	2	no	—
152	C₈×C₈₉	—	4	2	no	—
153	C₂²×C₈₉	C₂×C₂²⋊Q₈	1	1	yes	characteristic
154	C₂²×C₈₉	C₂×#124	1	1	yes	characteristic
155	C₂²×C₈₉	#536	1	1	yes	characteristic
156	C₂²×C₈₉	C₂×#135	1	1	yes	characteristic
157	C₂²×C₈₉	C₂×#135	1	1	yes	characteristic
158	C₂²×C₈₉	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
159	C₂²×C₈₉	C₂×#137	1	1	yes	characteristic
160	C₄×C₈₉	—	2	2	no	—
161	C₄×C₈₉	—	2	2	no	—
162	C₄×C₈₉	—	4	4	no	—
163	C₄×C₈₉	—	4	1	no	—
164	C₄×C₈₉	—	4	1	no	—
165	C₄×C₈₉	—	8	2	no	—
166	C₄×C₈₉	—	8	2	no	—
167	C₄×C₈₉	—	8	2	no	—
168	C₄×C₈₉	#478	1	4	yes	—
169	C₄×C₈₉	#479	1	4	yes	—
170	C₄×C₈₉	#556	1	2	yes	—
171	C₄×C₈₉	#557	1	2	yes	—
172	#29220	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
173	C₂×C₈₉	#2568	1	1	yes	characteristic
174	C₂×C₈₉	C₂×#478	1	1	yes	characteristic
175	C₂×C₈₉	C₂×#479	1	1	yes	characteristic
176	C₂×C₈₉	#3131	1	1	yes	characteristic
177	C₂×C₈₉	#3141	1	1	yes	characteristic
178	C₂×C₈₉	#3228	1	1	yes	characteristic
179	C₂×C₈₉	#3231	1	1	yes	characteristic
180	#2859	C₂×C₈₉	1	1	yes	characteristic
181	C₄×C₄⋊Q₈	C₂×C₈₉	1	1	yes	characteristic
182	#2101	C₂×C₈₉	1	4	yes	—
183	#1990	C₂×C₈₉	1	1	yes	characteristic
184	#1990	C₂×C₈₉	1	1	yes	characteristic
185	#1989	C₂×C₈₉	1	4	yes	—
186	#1834	C₂×C₈₉	1	1	yes	characteristic
187	#1834	C₂×C₈₉	1	1	yes	characteristic
188	C₄×C₄⋊C₈	C₂×C₈₉	1	1	yes	characteristic
189	C₈₉	#29220	1	1	yes	characteristic, direct product factor, Sylow
190	C₂×C₄⋊Q₈	C₂²×C₈₉	1	1	yes	characteristic
191	C₂×#125	C₂²×C₈₉	1	2	yes	—
192	C₂×C₄×Q₈	—	2	1	no	—
193	C₂×C₄⋊C₈	C₂²×C₈₉	1	2	yes	—
194	C₂×C₄×C₈	C₂²×C₈₉	1	1	yes	characteristic
195	C₂×C₄×C₈	C₂²×C₈₉	1	1	yes	characteristic
196	#391	—	2	1	no	—
197	#389	—	2	1	no	—
198	#389	—	2	1	no	—
199	#389	—	2	1	no	—
200	#389	—	2	1	no	—
201	#389	—	2	1	no	—
202	#389	C₂²×C₈₉	1	2	yes	—
203	#384	C₂²×C₈₉	1	1	yes	characteristic
204	#384	C₂²×C₈₉	1	1	yes	characteristic
205	#384	C₂²×C₈₉	1	1	yes	characteristic
206	#382	C₂²×C₈₉	1	2	yes	—
207	C₄×C₄⋊C₄	—	2	1	no	—
208	C₄×C₄⋊C₄	C₂²×C₈₉	1	2	yes	—
209	C₄³	C₂²×C₈₉	1	1	yes	characteristic
210	#340	C₂²×C₈₉	1	4	yes	—
211	#340	C₂²×C₈₉	1	4	yes	—
212	#340	C₂²×C₈₉	1	4	yes	—
213	#340	C₂²×C₈₉	1	4	yes	—
214	#336	C₂²×C₈₉	1	2	yes	—
215	C₂²×Q₈	—	2	1	no	—
216	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
217	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
218	C₄⋊Q₈	—	2	2	no	—
219	C₄⋊Q₈	Q₈×C₈₉	1	4	yes	—
220	#125	—	2	8	no	—
221	C₄×Q₈	—	4	4	no	—
222	C₂×C₄⋊C₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	1	no	—
224	C₂×C₄⋊C₄	—	2	2	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	—	2	2	no	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	—	2	1	no	—
229	C₂×C₄⋊C₄	—	2	1	no	—
230	C₂×C₄⋊C₄	—	2	1	no	—
231	C₂×C₄⋊C₄	—	2	1	no	—
232	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
233	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
234	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
235	C₂×C₄⋊C₄	C₂³×C₈₉	1	2	yes	—
236	C₂×C₄²	—	2	2	no	—
237	C₂×C₄²	D₄×C₈₉	1	1	yes	characteristic
238	C₂×C₄²	D₄×C₈₉	1	1	yes	characteristic
239	C₂×C₄²	D₄×C₈₉	1	1	yes	characteristic
240	C₂×C₄²	D₄×C₈₉	1	1	yes	characteristic
241	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
242	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
243	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
244	C₄⋊C₈	—	2	4	no	—
245	C₄×C₈	—	2	2	no	—
246	C₄×C₈	—	2	2	no	—
247	#95	—	2	2	no	—
248	#95	—	2	2	no	—
249	#95	—	2	2	no	—
250	#95	—	2	2	no	—
251	C₂×Q₈	—	2	4	no	—
252	C₂×Q₈	—	4	2	no	—
253	C₂×Q₈	—	4	2	no	—
254	C₂²×C₄	—	2	2	no	—
255	C₂²×C₄	—	2	2	no	—
256	C₂²×C₄	—	2	2	no	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
259	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
260	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
261	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
262	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
263	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
264	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
265	C₂×C₈	—	2	2	no	—
266	C₂×C₈	—	2	2	no	—
267	C₂×C₈	—	2	2	no	—
268	C₂×C₈	—	2	2	no	—
269	C₂×C₈	—	2	2	no	—
270	C₂×C₈	—	2	2	no	—
271	C₄⋊C₄	—	2	4	no	—
272	C₄⋊C₄	—	2	2	no	—
273	C₄⋊C₄	—	2	4	no	—
274	C₄⋊C₄	—	2	4	no	—
275	C₄⋊C₄	—	2	4	no	—
276	C₄⋊C₄	—	4	4	no	—
277	C₄⋊C₄	—	4	4	no	—
278	C₄⋊C₄	—	4	4	no	—
279	C₄⋊C₄	—	4	2	no	—
280	C₄⋊C₄	—	4	2	no	—
281	C₄⋊C₄	—	4	2	no	—
282	C₄⋊C₄	—	4	2	no	—
283	C₄⋊C₄	—	4	2	no	—
284	C₄⋊C₄	—	4	2	no	—
285	C₄⋊C₄	C₂×Q₈×C₈₉	1	4	yes	—
286	C₄²	—	2	2	no	—
287	C₄²	—	2	2	no	—
288	C₄²	—	2	2	no	—
289	C₄²	—	2	2	no	—
290	C₄²	—	2	2	no	—
291	C₄²	—	4	4	no	—
292	C₄²	C₂×Q₈×C₈₉	1	2	yes	—
293	C₄²	#41×C₈₉	1	2	yes	—
294	C₄²	#41×C₈₉	1	4	yes	—
295	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
296	Q₈	—	4	8	no	—
297	C₂×C₄	—	2	1	no	—
298	C₂×C₄	—	2	1	no	—
299	C₂×C₄	—	2	1	no	—
300	C₂×C₄	—	2	1	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	1	no	—
303	C₂×C₄	—	2	1	no	—
304	C₂×C₄	—	2	1	no	—
305	C₂×C₄	—	2	1	no	—
306	C₂×C₄	—	2	1	no	—
307	C₂×C₄	—	2	1	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	4	2	no	—
310	C₂×C₄	—	4	2	no	—
311	C₂×C₄	—	4	2	no	—
312	C₂×C₄	—	4	2	no	—
313	C₂×C₄	—	4	2	no	—
314	C₂×C₄	—	4	2	no	—
315	C₂×C₄	—	4	2	no	—
316	C₂×C₄	—	4	2	no	—
317	C₂×C₄	—	4	2	no	—
318	C₂×C₄	—	4	2	no	—
319	C₂×C₄	C₂²⋊Q₈×C₈₉	1	2	yes	—
320	C₂×C₄	C₂²⋊Q₈×C₈₉	1	2	yes	—
321	C₂×C₄	#124×C₈₉	1	2	yes	—
322	C₂×C₄	#124×C₈₉	1	2	yes	—
323	C₂×C₄	#135×C₈₉	1	2	yes	—
324	C₂×C₄	#135×C₈₉	1	2	yes	—
325	C₂×C₄	AGL(1,ℤ/8)×C₈₉	1	2	yes	—
326	C₂×C₄	#137×C₈₉	1	2	yes	—
327	C₂×C₄	C₂²×Q₈×C₈₉	1	1	yes	characteristic
328	C₂×C₄	C₂×#41×C₈₉	1	1	yes	characteristic
329	C₂×C₄	C₂×#41×C₈₉	1	2	yes	—
330	C₂×C₄	2₋¹⁺⁴×C₈₉	1	2	yes	—
331	C₈	—	4	2	no	—
332	C₈	—	4	2	no	—
333	C₂²	C₂×C₂²⋊Q₈×C₈₉	1	1	yes	characteristic
334	C₂²	C₂×#124×C₈₉	1	1	yes	characteristic
335	C₂²	#536×C₈₉	1	1	yes	characteristic
336	C₂²	C₂×#135×C₈₉	1	1	yes	characteristic
337	C₂²	C₂×#135×C₈₉	1	1	yes	characteristic
338	C₂²	C₂×AGL(1,ℤ/8)×C₈₉	1	1	yes	characteristic
339	C₂²	C₂×#137×C₈₉	1	1	yes	characteristic
340	C₄	—	2	2	no	—
341	C₄	—	2	2	no	—
342	C₄	—	4	4	no	—
343	C₄	—	4	1	no	—
344	C₄	—	4	1	no	—
345	C₄	—	8	2	no	—
346	C₄	—	8	2	no	—
347	C₄	—	8	2	no	—
348	C₄	#478×C₈₉	1	4	yes	—
349	C₄	#479×C₈₉	1	4	yes	—
350	C₄	#556×C₈₉	1	2	yes	—
351	C₄	#557×C₈₉	1	2	yes	—
352	C₂	C₈₉×#2568	1	1	yes	characteristic
353	C₂	C₂×#478×C₈₉	1	1	yes	characteristic
354	C₂	C₂×#479×C₈₉	1	1	yes	characteristic
355	C₂	C₈₉×#3131	1	1	yes	characteristic
356	C₂	C₈₉×#3141	1	1	yes	characteristic
357	C₂	C₈₉×#3228	1	1	yes	characteristic
358	C₂	C₈₉×#3231	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₈₉	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₈₉
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₈₉ ◁ C₄³×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
172. #29220	C₈₉	direct (N × H)
189. C₈₉	#29220	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×#2859	2
C₄×C₄⋊Q₈×C₈₉	2
C₈₉×#2101	2
C₈₉×#1990	2
C₈₉×#1989	2
C₈₉×#1834	2
C₄×C₄⋊C₈×C₈₉	2
#29220	89

Subgroups — C89×#29220 #36407068

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#29220 #36407068