Subgroups — C₈₉×#60715 #36438563

Order 22784.

1830 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×#3509	C₂	1	2	yes	maximal
2	C₈₉×#3185	C₂	1	4	yes	maximal, complemented
3	C₈₉×#3177	C₂	1	8	yes	maximal, complemented
4	C₈₉×#3170	C₂	1	4	yes	maximal, complemented
5	C₈₉×#3160	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#494×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
7	C₈₉×#3139	C₂	1	2	yes	maximal, complemented
8	C₈₉×#3059	C₂	1	4	yes	maximal
9	C₈₉×#2950	C₂	1	4	yes	maximal, complemented
10	C₄×#131×C₈₉	C₂	1	1	yes	maximal, characteristic
11	C₂²×Q₁₆×C₈₉	C₂²	1	4	yes	—
12	C₂×#131×C₈₉	C₂²	1	2	yes	—
13	#557×C₈₉	—	2	4	no	—
14	#556×C₈₉	—	2	4	no	—
15	#552×C₈₉	—	2	8	no	—
16	#541×C₈₉	C₂²	1	8	yes	—
17	#536×C₈₉	C₂²	1	4	yes	—
18	#533×C₈₉	C₂²	1	8	yes	—
19	#533×C₈₉	C₂²	1	2	yes	—
20	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	—
21	#519×C₈₉	C₂²	1	4	yes	—
22	C₄×#41×C₈₉	C₂²	1	1	yes	characteristic
23	#500×C₈₉	C₂²	1	2	yes	—
24	#499×C₈₉	C₂²	1	4	yes	—
25	#498×C₈₉	C₂²	1	2	yes	—
26	#494×C₈₉	C₂²	1	2	yes	—
27	#494×C₈₉	C₂²	1	4	yes	—
28	#494×C₈₉	C₂²	1	2	yes	—
29	#491×C₈₉	C₂²	1	8	yes	—
30	#487×C₈₉	C₂²	1	8	yes	—
31	#470×C₈₉	C₂²	1	16	yes	—
32	#467×C₈₉	C₂²	1	16	yes	—
33	#441×C₈₉	C₂²	1	16	yes	—
34	C₄×Q₁₆×C₈₉	C₂²	1	16	yes	—
35	#427×C₈₉	C₂²	1	4	yes	—
36	#419×C₈₉	C₂²	1	8	yes	—
37	#405×C₈₉	C₂²	1	4	yes	—
38	#405×C₈₉	C₂²	1	2	yes	—
39	C₄×M₁₆×C₈₉	C₂²	1	1	yes	characteristic
40	C₄×M₁₆×C₈₉	C₂²	1	2	yes	—
41	C₂×C₄×C₈×C₈₉	C₂²	1	1	yes	characteristic
42	C₂×C₄×C₈×C₈₉	C₂²	1	2	yes	—
43	C₂×#41×C₈₉	C₂³	1	1	yes	characteristic
44	C₂²×Q₈×C₈₉	C₂³	1	4	yes	—
45	C₂×Q₁₆×C₈₉	—	2	16	no	—
46	C₂×Q₁₆×C₈₉	C₂³	1	8	yes	—
47	C₂×Q₁₆×C₈₉	C₂³	1	8	yes	—
48	#131×C₈₉	—	2	8	no	—
49	C₂×M₁₆×C₈₉	C₂³	1	2	yes	—
50	C₂×M₁₆×C₈₉	C₂³	1	4	yes	—
51	C₂²×C₈×C₈₉	C₂³	1	4	yes	—
52	C₂²×C₈×C₈₉	C₂³	1	2	yes	—
53	C₄⋊Q₈×C₈₉	—	2	4	no	—
54	C₄⋊Q₈×C₈₉	—	2	4	no	—
55	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
56	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
57	C₄⋊Q₈×C₈₉	C₂³	1	4	yes	—
58	#126×C₈₉	—	2	16	no	—
59	#125×C₈₉	—	2	16	no	—
60	#125×C₈₉	—	2	8	no	—
61	#125×C₈₉	C₂³	1	4	yes	—
62	#124×C₈₉	—	2	4	no	—
63	#123×C₈₉	—	2	8	no	—
64	C₂²⋊Q₈×C₈₉	—	2	4	no	—
65	C₂²⋊Q₈×C₈₉	—	2	8	no	—
66	C₂²⋊Q₈×C₈₉	C₂³	1	16	yes	—
67	C₄×Q₈×C₈₉	—	2	8	no	—
68	C₄×Q₈×C₈₉	—	2	8	no	—
69	C₄×Q₈×C₈₉	—	2	4	no	—
70	C₄×Q₈×C₈₉	D₄	1	2	yes	—
71	C₄×Q₈×C₈₉	C₂³	1	16	yes	—
72	C₄×D₄×C₈₉	D₄	1	4	yes	—
73	C₄×D₄×C₈₉	D₄	1	2	yes	—
74	#117×C₈₉	—	2	8	no	—
75	#117×C₈₉	—	2	8	no	—
76	#117×C₈₉	C₂³	1	4	yes	—
77	#117×C₈₉	C₂³	1	1	yes	characteristic
78	#117×C₈₉	C₂³	1	2	yes	—
79	C₂×C₄⋊C₄×C₈₉	—	2	4	no	—
80	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
81	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
82	#107×C₈₉	C₂³	1	8	yes	—
83	#106×C₈₉	C₂³	1	8	yes	—
84	#103×C₈₉	C₂³	1	32	yes	—
85	#97×C₈₉	C₂³	1	4	yes	—
86	#97×C₈₉	C₂³	1	2	yes	—
87	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
88	C₄×C₈×C₈₉	C₂³	1	2	yes	—
89	C₄×C₈×C₈₉	C₂³	1	1	yes	characteristic
90	C₄×C₈×C₈₉	C₂³	1	4	yes	—
91	C₄×C₈×C₈₉	C₂³	1	2	yes	—
92	#41×C₈₉	—	2	4	no	—
93	C₂×Q₈×C₈₉	—	2	4	no	—
94	C₂×Q₈×C₈₉	—	2	4	no	—
95	C₂×Q₈×C₈₉	—	2	16	no	—
96	C₂×Q₈×C₈₉	C₂×D₄	1	1	yes	characteristic
97	C₂×Q₈×C₈₉	C₂⁴	1	8	yes	—
98	C₂×D₄×C₈₉	C₂×D₄	1	2	yes	—
99	C₂×D₄×C₈₉	C₂×D₄	1	1	yes	characteristic
100	C₂²×C₄×C₈₉	—	2	4	no	—
101	C₂²×C₄×C₈₉	C₂×D₄	1	2	yes	—
102	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
103	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
104	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
105	Q₁₆×C₈₉	—	2	16	no	—
106	Q₁₆×C₈₉	—	2	16	no	—
107	M₁₆×C₈₉	—	2	4	no	—
108	M₁₆×C₈₉	—	2	8	no	—
109	C₂×C₈×C₈₉	—	2	8	no	—
110	C₂×C₈×C₈₉	#41	1	8	yes	—
111	C₂×C₈×C₈₉	C₂⁴	1	4	yes	—
112	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
113	C₂×C₈×C₈₉	C₂⁴	1	2	yes	—
114	C₄⋊C₄×C₈₉	—	2	8	no	—
115	C₄⋊C₄×C₈₉	—	2	8	no	—
116	C₄⋊C₄×C₈₉	—	2	4	no	—
117	C₄⋊C₄×C₈₉	—	2	16	no	—
118	C₄⋊C₄×C₈₉	—	2	8	no	—
119	C₄⋊C₄×C₈₉	—	2	16	no	—
120	C₄⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
121	C₄⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
122	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
123	C₂²⋊C₄×C₈₉	—	2	4	no	—
124	C₂²⋊C₄×C₈₉	—	2	16	no	—
125	C₂²⋊C₄×C₈₉	C₂×D₄	1	2	yes	—
126	C₂²⋊C₄×C₈₉	C₂×D₄	1	4	yes	—
127	C₄²×C₈₉	—	2	16	no	—
128	C₄²×C₈₉	—	2	4	no	—
129	C₄²×C₈₉	C₂×D₄	1	4	yes	—
130	C₄²×C₈₉	C₂×D₄	1	2	yes	—
131	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
132	C₄²×C₈₉	C₂⁴	1	2	yes	—
133	C₄²×C₈₉	C₂⁴	1	1	yes	characteristic
134	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
135	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
136	Q₈×C₈₉	—	2	2	no	—
137	Q₈×C₈₉	—	2	16	no	—
138	Q₈×C₈₉	—	4	8	no	—
139	Q₈×C₈₉	—	4	8	no	—
140	D₄×C₈₉	—	2	4	no	—
141	D₄×C₈₉	—	2	2	no	—
142	C₂×C₄×C₈₉	—	2	4	no	—
143	C₂×C₄×C₈₉	—	2	8	no	—
144	C₂×C₄×C₈₉	—	2	4	no	—
145	C₂×C₄×C₈₉	—	2	8	no	—
146	C₂×C₄×C₈₉	—	2	8	no	—
147	C₂×C₄×C₈₉	—	4	8	no	—
148	C₂×C₄×C₈₉	C₂²×D₄	1	4	yes	—
149	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
150	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
151	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
152	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
153	C₂×C₄×C₈₉	C₂×#41	1	4	yes	—
154	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
155	C₈×C₈₉	—	2	4	no	—
156	C₈×C₈₉	C₂×#41	1	4	yes	—
157	C₈×C₈₉	C₂×#41	1	4	yes	—
158	C₂²×C₈₉	—	2	2	no	—
159	C₂²×C₈₉	—	2	2	no	—
160	C₂²×C₈₉	—	2	4	no	—
161	C₂²×C₈₉	#532	1	2	yes	—
162	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
163	C₄×C₈₉	—	2	2	no	—
164	C₄×C₈₉	—	2	4	no	—
165	C₄×C₈₉	—	2	2	no	—
166	C₄×C₈₉	—	4	8	no	—
167	C₄×C₈₉	—	4	8	no	—
168	C₄×C₈₉	#532	1	2	yes	—
169	C₄×C₈₉	#578	1	4	yes	—
170	C₄×C₈₉	C₂²×#41	1	2	yes	—
171	#60715	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
172	C₂×C₈₉	—	2	2	no	—
173	C₂×C₈₉	—	4	2	no	—
174	C₂×C₈₉	C₂×#532	1	1	yes	characteristic
175	C₂×C₈₉	C₂×#578	1	2	yes	—
176	#3509	C₂×C₈₉	1	2	yes	—
177	#3185	C₂×C₈₉	1	4	yes	complemented
178	#3177	C₂×C₈₉	1	8	yes	complemented
179	#3170	C₂×C₈₉	1	4	yes	complemented
180	#3160	C₂×C₈₉	1	1	yes	characteristic, complemented
181	C₂×#494	C₂×C₈₉	1	1	yes	characteristic, complemented
182	#3139	C₂×C₈₉	1	2	yes	complemented
183	#3059	C₂×C₈₉	1	4	yes	—
184	#2950	C₂×C₈₉	1	4	yes	complemented
185	C₄×#131	C₂×C₈₉	1	1	yes	characteristic
186	C₈₉	#60715	1	1	yes	characteristic, direct product factor, Sylow
187	C₂²×Q₁₆	C₂²×C₈₉	1	4	yes	—
188	C₂×#131	C₂²×C₈₉	1	2	yes	—
189	#557	—	2	4	no	—
190	#556	—	2	4	no	—
191	#552	—	2	8	no	—
192	#541	C₂²×C₈₉	1	8	yes	—
193	#536	C₂²×C₈₉	1	4	yes	—
194	#533	C₂²×C₈₉	1	8	yes	—
195	#533	C₂²×C₈₉	1	2	yes	—
196	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	—
197	#519	C₂²×C₈₉	1	4	yes	—
198	C₄×#41	C₂²×C₈₉	1	1	yes	characteristic
199	#500	C₂²×C₈₉	1	2	yes	—
200	#499	C₂²×C₈₉	1	4	yes	—
201	#498	C₂²×C₈₉	1	2	yes	—
202	#494	C₂²×C₈₉	1	2	yes	—
203	#494	C₂²×C₈₉	1	4	yes	—
204	#494	C₂²×C₈₉	1	2	yes	—
205	#491	C₂²×C₈₉	1	8	yes	—
206	#487	C₂²×C₈₉	1	8	yes	—
207	#470	C₂²×C₈₉	1	16	yes	—
208	#467	C₂²×C₈₉	1	16	yes	—
209	#441	C₂²×C₈₉	1	16	yes	—
210	C₄×Q₁₆	C₂²×C₈₉	1	16	yes	—
211	#427	C₂²×C₈₉	1	4	yes	—
212	#419	C₂²×C₈₉	1	8	yes	—
213	#405	C₂²×C₈₉	1	4	yes	—
214	#405	C₂²×C₈₉	1	2	yes	—
215	C₄×M₁₆	C₂²×C₈₉	1	1	yes	characteristic
216	C₄×M₁₆	C₂²×C₈₉	1	2	yes	—
217	C₂×C₄×C₈	C₂²×C₈₉	1	1	yes	characteristic
218	C₂×C₄×C₈	C₂²×C₈₉	1	2	yes	—
219	C₂×#41	C₂³×C₈₉	1	1	yes	characteristic
220	C₂²×Q₈	C₂³×C₈₉	1	4	yes	—
221	C₂×Q₁₆	—	2	16	no	—
222	C₂×Q₁₆	C₂³×C₈₉	1	8	yes	—
223	C₂×Q₁₆	C₂³×C₈₉	1	8	yes	—
224	#131	—	2	8	no	—
225	C₂×M₁₆	C₂³×C₈₉	1	2	yes	—
226	C₂×M₁₆	C₂³×C₈₉	1	4	yes	—
227	C₂²×C₈	C₂³×C₈₉	1	4	yes	—
228	C₂²×C₈	C₂³×C₈₉	1	2	yes	—
229	C₄⋊Q₈	—	2	4	no	—
230	C₄⋊Q₈	—	2	4	no	—
231	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
232	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
233	C₄⋊Q₈	C₂³×C₈₉	1	4	yes	—
234	#126	—	2	16	no	—
235	#125	—	2	16	no	—
236	#125	—	2	8	no	—
237	#125	C₂³×C₈₉	1	4	yes	—
238	#124	—	2	4	no	—
239	#123	—	2	8	no	—
240	C₂²⋊Q₈	—	2	4	no	—
241	C₂²⋊Q₈	—	2	8	no	—
242	C₂²⋊Q₈	C₂³×C₈₉	1	16	yes	—
243	C₄×Q₈	—	2	8	no	—
244	C₄×Q₈	—	2	8	no	—
245	C₄×Q₈	—	2	4	no	—
246	C₄×Q₈	D₄×C₈₉	1	2	yes	—
247	C₄×Q₈	C₂³×C₈₉	1	16	yes	—
248	C₄×D₄	D₄×C₈₉	1	4	yes	—
249	C₄×D₄	D₄×C₈₉	1	2	yes	—
250	#117	—	2	8	no	—
251	#117	—	2	8	no	—
252	#117	C₂³×C₈₉	1	4	yes	—
253	#117	C₂³×C₈₉	1	1	yes	characteristic
254	#117	C₂³×C₈₉	1	2	yes	—
255	C₂×C₄⋊C₄	—	2	4	no	—
256	C₂×C₄²	C₂³×C₈₉	1	1	yes	characteristic
257	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
258	#107	C₂³×C₈₉	1	8	yes	—
259	#106	C₂³×C₈₉	1	8	yes	—
260	#103	C₂³×C₈₉	1	32	yes	—
261	#97	C₂³×C₈₉	1	4	yes	—
262	#97	C₂³×C₈₉	1	2	yes	—
263	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
264	C₄×C₈	C₂³×C₈₉	1	2	yes	—
265	C₄×C₈	C₂³×C₈₉	1	1	yes	characteristic
266	C₄×C₈	C₂³×C₈₉	1	4	yes	—
267	C₄×C₈	C₂³×C₈₉	1	2	yes	—
268	#41	—	2	4	no	—
269	C₂×Q₈	—	2	4	no	—
270	C₂×Q₈	—	2	4	no	—
271	C₂×Q₈	—	2	16	no	—
272	C₂×Q₈	C₂×D₄×C₈₉	1	1	yes	characteristic
273	C₂×Q₈	C₂⁴×C₈₉	1	8	yes	—
274	C₂×D₄	C₂×D₄×C₈₉	1	2	yes	—
275	C₂×D₄	C₂×D₄×C₈₉	1	1	yes	characteristic
276	C₂²×C₄	—	2	4	no	—
277	C₂²×C₄	C₂×D₄×C₈₉	1	2	yes	—
278	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
279	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
280	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
281	Q₁₆	—	2	16	no	—
282	Q₁₆	—	2	16	no	—
283	M₁₆	—	2	4	no	—
284	M₁₆	—	2	8	no	—
285	C₂×C₈	—	2	8	no	—
286	C₂×C₈	#41×C₈₉	1	8	yes	—
287	C₂×C₈	C₂⁴×C₈₉	1	4	yes	—
288	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
289	C₂×C₈	C₂⁴×C₈₉	1	2	yes	—
290	C₄⋊C₄	—	2	8	no	—
291	C₄⋊C₄	—	2	8	no	—
292	C₄⋊C₄	—	2	4	no	—
293	C₄⋊C₄	—	2	16	no	—
294	C₄⋊C₄	—	2	8	no	—
295	C₄⋊C₄	—	2	16	no	—
296	C₄⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
297	C₄⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
298	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
299	C₂²⋊C₄	—	2	4	no	—
300	C₂²⋊C₄	—	2	16	no	—
301	C₂²⋊C₄	C₂×D₄×C₈₉	1	2	yes	—
302	C₂²⋊C₄	C₂×D₄×C₈₉	1	4	yes	—
303	C₄²	—	2	16	no	—
304	C₄²	—	2	4	no	—
305	C₄²	C₂×D₄×C₈₉	1	4	yes	—
306	C₄²	C₂×D₄×C₈₉	1	2	yes	—
307	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
308	C₄²	C₂⁴×C₈₉	1	2	yes	—
309	C₄²	C₂⁴×C₈₉	1	1	yes	characteristic
310	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
311	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
312	Q₈	—	2	2	no	—
313	Q₈	—	2	16	no	—
314	Q₈	—	4	8	no	—
315	Q₈	—	4	8	no	—
316	D₄	—	2	4	no	—
317	D₄	—	2	2	no	—
318	C₂×C₄	—	2	4	no	—
319	C₂×C₄	—	2	8	no	—
320	C₂×C₄	—	2	4	no	—
321	C₂×C₄	—	2	8	no	—
322	C₂×C₄	—	2	8	no	—
323	C₂×C₄	—	4	8	no	—
324	C₂×C₄	C₂²×D₄×C₈₉	1	4	yes	—
325	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
326	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
327	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
328	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
329	C₂×C₄	C₂×#41×C₈₉	1	4	yes	—
330	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
331	C₈	—	2	4	no	—
332	C₈	C₂×#41×C₈₉	1	4	yes	—
333	C₈	C₂×#41×C₈₉	1	4	yes	—
334	C₂²	—	2	2	no	—
335	C₂²	—	2	4	no	—
336	C₂²	—	2	2	no	—
337	C₂²	#532×C₈₉	1	2	yes	—
338	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
339	C₄	—	2	4	no	—
340	C₄	—	2	2	no	—
341	C₄	—	2	2	no	—
342	C₄	—	4	8	no	—
343	C₄	—	4	8	no	—
344	C₄	#532×C₈₉	1	2	yes	—
345	C₄	#578×C₈₉	1	4	yes	—
346	C₄	C₂²×#41×C₈₉	1	2	yes	—
347	C₂	—	2	2	no	—
348	C₂	—	4	2	no	—
349	C₂	C₂×#532×C₈₉	1	1	yes	characteristic
350	C₂	C₂×#578×C₈₉	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₈₉	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
prime radical	C₂×#41×C₈₉	C₂³
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₈₉ ◁ C₄×#41×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₈₉×#3185	C₂	semidirect
3. C₈₉×#3177	C₂	semidirect
4. C₈₉×#3170	C₂	semidirect
5. C₈₉×#3160	C₂	semidirect
6. C₂×#494×C₈₉	C₂	semidirect
7. C₈₉×#3139	C₂	semidirect
9. C₈₉×#2950	C₂	semidirect
171. #60715	C₈₉	direct (N × H)
177. #3185	C₂×C₈₉	semidirect
178. #3177	C₂×C₈₉	semidirect
179. #3170	C₂×C₈₉	semidirect
180. #3160	C₂×C₈₉	semidirect
181. C₂×#494	C₂×C₈₉	semidirect
182. #3139	C₂×C₈₉	semidirect
184. #2950	C₂×C₈₉	semidirect
186. C₈₉	#60715	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×#3509	2
C₈₉×#3185	2
C₈₉×#3177	2
C₈₉×#3170	2
C₈₉×#3160	2
C₂×#494×C₈₉	2
C₈₉×#3139	2
C₈₉×#3059	2
C₈₉×#2950	2
C₄×#131×C₈₉	2
#60715	89

Subgroups — C89×#60715 #36438563

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#60715 #36438563