Subgroups — C₈₉×#60401 #36438249

Order 22784.

4854 conjugacy classes of subgroups.

The subgroup lattice has 330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₉×H(7,𝔽₂)	C₂	1	1	yes	maximal, characteristic, complemented
2	C₈₉×#3485	C₂	1	3	yes	maximal, complemented
3	C₈₉×#3028	C₂	1	4	yes	maximal, complemented
4	C₈₉×#3026	C₂	1	8	yes	maximal, complemented
5	C₈₉×#3025	C₂	1	4	yes	maximal, complemented
6	C₂×#458×C₈₉	C₂	1	8	yes	maximal, complemented
7	C₈₉×#2883	C₂	1	3	yes	maximal, complemented
8	#585×C₈₉	—	2	12	no	—
9	#585×C₈₉	C₂²	1	4	yes	—
10	C₂×H(5,𝔽₂)×C₈₉	—	2	12	no	—
11	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	8	yes	—
12	C₂×H(5,𝔽₂)×C₈₉	C₂²	1	3	yes	—
13	C₂²×#41×C₈₉	C₂²	1	1	yes	characteristic, complemented
14	#547×C₈₉	—	2	12	no	—
15	#546×C₈₉	—	2	12	no	—
16	#536×C₈₉	C₂²	1	6	yes	complemented
17	#534×C₈₉	C₂²	1	12	yes	complemented
18	#525×C₈₉	C₂²	1	6	yes	complemented
19	C₂×#123×C₈₉	C₂²	1	12	yes	complemented
20	#518×C₈₉	C₂²	1	3	yes	complemented
21	#458×C₈₉	C₂²	1	16	yes	complemented
22	#458×C₈₉	C₂²	1	32	yes	complemented
23	B(4,𝔽₂)×C₈₉	C₂²	1	16	yes	complemented
24	#410×C₈₉	C₂²	1	12	yes	complemented
25	C₂×#99×C₈₉	C₂²	1	24	yes	complemented
26	2₋¹⁺⁴×C₈₉	—	2	16	no	—
27	2₋¹⁺⁴×C₈₉	—	2	12	no	—
28	H(5,𝔽₂)×C₈₉	—	2	48	no	—
29	H(5,𝔽₂)×C₈₉	—	2	12	no	—
30	H(5,𝔽₂)×C₈₉	—	2	48	no	—
31	H(5,𝔽₂)×C₈₉	—	2	24	no	—
32	H(5,𝔽₂)×C₈₉	C₂³	1	16	yes	—
33	C₂×#41×C₈₉	—	2	48	no	—
34	C₂×#41×C₈₉	—	2	12	no	—
35	C₂×#41×C₈₉	—	2	24	no	—
36	C₂×#41×C₈₉	—	2	24	no	—
37	C₂×#41×C₈₉	D₄	1	12	yes	complemented
38	C₂×#41×C₈₉	C₂³	1	6	yes	—
39	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic, complemented
40	C₂²×D₄×C₈₉	—	2	16	no	—
41	C₂²×D₄×C₈₉	—	2	24	no	—
42	C₂²×D₄×C₈₉	D₄	1	12	yes	complemented
43	C₂²×D₄×C₈₉	C₂³	1	12	yes	—
44	C₂²×D₄×C₈₉	C₂³	1	1	yes	characteristic
45	C₂²×D₄×C₈₉	C₂³	1	2	yes	complemented
46	C₂³×C₄×C₈₉	C₂³	1	2	yes	complemented
47	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic, complemented
48	C₄⋊Q₈×C₈₉	—	2	6	no	—
49	#124×C₈₉	—	2	6	no	—
50	#123×C₈₉	—	2	24	no	—
51	#123×C₈₉	—	2	12	no	—
52	#123×C₈₉	C₂³	1	12	yes	complemented
53	#123×C₈₉	C₂³	1	24	yes	complemented
54	C₂²⋊Q₈×C₈₉	—	2	6	no	—
55	C₂²⋊Q₈×C₈₉	—	2	12	no	—
56	#121×C₈₉	—	2	6	no	—
57	#121×C₈₉	—	2	24	no	—
58	#120×C₈₉	—	2	12	no	—
59	#120×C₈₉	C₂³	1	12	yes	complemented
60	C₄×D₄×C₈₉	—	2	12	no	—
61	C₄×D₄×C₈₉	—	2	12	no	—
62	#117×C₈₉	C₂³	1	6	yes	complemented
63	C₂×C₄⋊C₄×C₈₉	—	2	12	no	—
64	C₂×C₂²⋊C₄×C₈₉	—	2	12	no	—
65	C₂×C₂²⋊C₄×C₈₉	C₂³	1	12	yes	complemented
66	#99×C₈₉	C₂³	1	48	yes	complemented
67	C₂⁴×C₈₉	—	2	8	no	—
68	C₂⁴×C₈₉	C₂×D₄	1	12	yes	—
69	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
70	C₂⁴×C₈₉	C₂⁴	1	2	yes	—
71	#41×C₈₉	—	2	96	no	—
72	#41×C₈₉	—	2	48	no	—
73	#41×C₈₉	—	2	16	no	—
74	#41×C₈₉	—	2	48	no	—
75	#41×C₈₉	—	2	48	no	—
76	#41×C₈₉	—	2	24	no	—
77	#41×C₈₉	—	4	16	no	—
78	C₂×Q₈×C₈₉	—	2	24	no	—
79	C₂×Q₈×C₈₉	—	2	8	no	—
80	C₂×Q₈×C₈₉	—	2	6	no	—
81	C₂×Q₈×C₈₉	C₂×D₄	1	6	yes	—
82	C₂×D₄×C₈₉	—	2	96	no	—
83	C₂×D₄×C₈₉	—	2	24	no	—
84	C₂×D₄×C₈₉	—	2	24	no	—
85	C₂×D₄×C₈₉	—	2	48	no	—
86	C₂×D₄×C₈₉	—	2	48	no	—
87	C₂×D₄×C₈₉	—	2	48	no	—
88	C₂×D₄×C₈₉	—	2	12	no	—
89	C₂×D₄×C₈₉	—	2	12	no	—
90	C₂×D₄×C₈₉	C₂×D₄	1	24	yes	—
91	C₂×D₄×C₈₉	C₂×D₄	1	6	yes	—
92	C₂×D₄×C₈₉	C₂×D₄	1	12	yes	—
93	C₂×D₄×C₈₉	C₂⁴	1	12	yes	—
94	C₂²×C₄×C₈₉	—	2	24	no	—
95	C₂²×C₄×C₈₉	—	2	16	no	—
96	C₂²×C₄×C₈₉	—	2	12	no	—
97	C₂²×C₄×C₈₉	—	2	12	no	—
98	C₂²×C₄×C₈₉	—	2	6	no	—
99	C₂²×C₄×C₈₉	C₂×D₄	1	12	yes	—
100	C₂²×C₄×C₈₉	C₂×D₄	1	12	yes	—
101	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
102	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
103	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
104	C₄⋊C₄×C₈₉	—	2	12	no	—
105	C₄⋊C₄×C₈₉	—	2	24	no	—
106	C₄⋊C₄×C₈₉	—	2	6	no	—
107	C₂²⋊C₄×C₈₉	—	2	12	no	—
108	C₂²⋊C₄×C₈₉	—	2	24	no	—
109	C₂²⋊C₄×C₈₉	—	2	12	no	—
110	C₂²⋊C₄×C₈₉	—	2	12	no	—
111	C₂²⋊C₄×C₈₉	C₂⁴	1	12	yes	—
112	C₄²×C₈₉	—	2	6	no	—
113	C₂³×C₈₉	—	2	16	no	—
114	C₂³×C₈₉	—	2	24	no	—
115	C₂³×C₈₉	—	2	3	no	—
116	C₂³×C₈₉	—	8	2	no	—
117	C₂³×C₈₉	—	8	1	no	—
118	C₂³×C₈₉	—	8	12	no	—
119	C₂³×C₈₉	—	16	8	no	—
120	C₂³×C₈₉	C₂²×D₄	1	12	yes	—
121	C₂³×C₈₉	C₂²×D₄	1	12	yes	—
122	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
123	Q₈×C₈₉	—	2	16	no	—
124	Q₈×C₈₉	—	2	12	no	—
125	Q₈×C₈₉	—	4	4	no	—
126	D₄×C₈₉	—	2	48	no	—
127	D₄×C₈₉	—	2	48	no	—
128	D₄×C₈₉	—	2	24	no	—
129	D₄×C₈₉	—	2	12	no	—
130	D₄×C₈₉	—	4	8	no	—
131	D₄×C₈₉	—	8	12	no	—
132	D₄×C₈₉	#120	1	16	yes	—
133	C₂×C₄×C₈₉	—	2	48	no	—
134	C₂×C₄×C₈₉	—	2	24	no	—
135	C₂×C₄×C₈₉	—	2	24	no	—
136	C₂×C₄×C₈₉	—	2	12	no	—
137	C₂×C₄×C₈₉	—	2	3	no	—
138	C₂×C₄×C₈₉	—	2	6	no	—
139	C₂×C₄×C₈₉	—	4	8	no	—
140	C₂×C₄×C₈₉	—	4	4	no	—
141	C₂×C₄×C₈₉	—	8	12	no	—
142	C₂×C₄×C₈₉	C₂²×D₄	1	12	yes	—
143	C₂×C₄×C₈₉	C₂²×D₄	1	6	yes	—
144	C₂²×C₈₉	—	2	12	no	—
145	C₂²×C₈₉	—	4	12	no	—
146	C₂²×C₈₉	—	4	1	no	—
147	C₂²×C₈₉	—	4	12	no	—
148	C₂²×C₈₉	—	4	6	no	—
149	C₂²×C₈₉	—	4	1	no	—
150	C₂²×C₈₉	—	8	24	no	—
151	C₂²×C₈₉	—	8	16	no	—
152	C₂²×C₈₉	C₂×#120	1	8	yes	—
153	C₂²×C₈₉	C₂³×D₄	1	3	yes	—
154	C₄×C₈₉	—	2	12	no	—
155	C₄×C₈₉	—	4	12	no	—
156	C₄×C₈₉	—	4	1	no	—
157	C₄×C₈₉	—	4	2	no	—
158	C₄×C₈₉	C₂×#120	1	4	yes	—
159	#60401	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
160	C₂×C₈₉	—	2	3	no	—
161	C₂×C₈₉	—	2	8	no	—
162	C₂×C₈₉	—	4	12	no	—
163	C₂×C₈₉	—	8	1	no	—
164	C₂×C₈₉	C₂²×#120	1	1	yes	characteristic
165	H(7,𝔽₂)	C₂×C₈₉	1	1	yes	characteristic, complemented
166	#3485	C₂×C₈₉	1	3	yes	complemented
167	#3028	C₂×C₈₉	1	4	yes	complemented
168	#3026	C₂×C₈₉	1	8	yes	complemented
169	#3025	C₂×C₈₉	1	4	yes	complemented
170	C₂×#458	C₂×C₈₉	1	8	yes	complemented
171	#2883	C₂×C₈₉	1	3	yes	complemented
172	C₈₉	#60401	1	1	yes	characteristic, direct product factor, Sylow
173	#585	—	2	12	no	—
174	#585	C₂²×C₈₉	1	4	yes	—
175	C₂×H(5,𝔽₂)	—	2	12	no	—
176	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	8	yes	—
177	C₂×H(5,𝔽₂)	C₂²×C₈₉	1	3	yes	—
178	C₂²×#41	C₂²×C₈₉	1	1	yes	characteristic, complemented
179	#547	—	2	12	no	—
180	#546	—	2	12	no	—
181	#536	C₂²×C₈₉	1	6	yes	complemented
182	#534	C₂²×C₈₉	1	12	yes	complemented
183	#525	C₂²×C₈₉	1	6	yes	complemented
184	C₂×#123	C₂²×C₈₉	1	12	yes	complemented
185	#518	C₂²×C₈₉	1	3	yes	complemented
186	#458	C₂²×C₈₉	1	16	yes	complemented
187	#458	C₂²×C₈₉	1	32	yes	complemented
188	B(4,𝔽₂)	C₂²×C₈₉	1	16	yes	complemented
189	#410	C₂²×C₈₉	1	12	yes	complemented
190	C₂×#99	C₂²×C₈₉	1	24	yes	complemented
191	2₋¹⁺⁴	—	2	16	no	—
192	2₋¹⁺⁴	—	2	12	no	—
193	H(5,𝔽₂)	—	2	48	no	—
194	H(5,𝔽₂)	—	2	12	no	—
195	H(5,𝔽₂)	—	2	48	no	—
196	H(5,𝔽₂)	—	2	24	no	—
197	H(5,𝔽₂)	C₂³×C₈₉	1	16	yes	—
198	C₂×#41	—	2	48	no	—
199	C₂×#41	—	2	12	no	—
200	C₂×#41	—	2	24	no	—
201	C₂×#41	—	2	24	no	—
202	C₂×#41	D₄×C₈₉	1	12	yes	complemented
203	C₂×#41	C₂³×C₈₉	1	6	yes	—
204	C₂²×Q₈	C₂³×C₈₉	1	1	yes	characteristic, complemented
205	C₂²×D₄	—	2	16	no	—
206	C₂²×D₄	—	2	24	no	—
207	C₂²×D₄	D₄×C₈₉	1	12	yes	complemented
208	C₂²×D₄	C₂³×C₈₉	1	12	yes	—
209	C₂²×D₄	C₂³×C₈₉	1	1	yes	characteristic
210	C₂²×D₄	C₂³×C₈₉	1	2	yes	complemented
211	C₂³×C₄	C₂³×C₈₉	1	2	yes	complemented
212	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic, complemented
213	C₄⋊Q₈	—	2	6	no	—
214	#124	—	2	6	no	—
215	#123	—	2	24	no	—
216	#123	—	2	12	no	—
217	#123	C₂³×C₈₉	1	12	yes	complemented
218	#123	C₂³×C₈₉	1	24	yes	complemented
219	C₂²⋊Q₈	—	2	6	no	—
220	C₂²⋊Q₈	—	2	12	no	—
221	#121	—	2	6	no	—
222	#121	—	2	24	no	—
223	#120	—	2	12	no	—
224	#120	C₂³×C₈₉	1	12	yes	complemented
225	C₄×D₄	—	2	12	no	—
226	C₄×D₄	—	2	12	no	—
227	#117	C₂³×C₈₉	1	6	yes	complemented
228	C₂×C₄⋊C₄	—	2	12	no	—
229	C₂×C₂²⋊C₄	—	2	12	no	—
230	C₂×C₂²⋊C₄	C₂³×C₈₉	1	12	yes	complemented
231	#99	C₂³×C₈₉	1	48	yes	complemented
232	C₂⁴	—	2	8	no	—
233	C₂⁴	C₂×D₄×C₈₉	1	12	yes	—
234	C₂⁴	C₂⁴×C₈₉	1	1	yes	characteristic
235	C₂⁴	C₂⁴×C₈₉	1	2	yes	—
236	#41	—	2	96	no	—
237	#41	—	2	48	no	—
238	#41	—	2	16	no	—
239	#41	—	2	48	no	—
240	#41	—	2	48	no	—
241	#41	—	2	24	no	—
242	#41	—	4	16	no	—
243	C₂×Q₈	—	2	24	no	—
244	C₂×Q₈	—	2	8	no	—
245	C₂×Q₈	—	2	6	no	—
246	C₂×Q₈	C₂×D₄×C₈₉	1	6	yes	—
247	C₂×D₄	—	2	96	no	—
248	C₂×D₄	—	2	24	no	—
249	C₂×D₄	—	2	24	no	—
250	C₂×D₄	—	2	48	no	—
251	C₂×D₄	—	2	48	no	—
252	C₂×D₄	—	2	48	no	—
253	C₂×D₄	—	2	12	no	—
254	C₂×D₄	—	2	12	no	—
255	C₂×D₄	C₂×D₄×C₈₉	1	24	yes	—
256	C₂×D₄	C₂×D₄×C₈₉	1	6	yes	—
257	C₂×D₄	C₂×D₄×C₈₉	1	12	yes	—
258	C₂×D₄	C₂⁴×C₈₉	1	12	yes	—
259	C₂²×C₄	—	2	24	no	—
260	C₂²×C₄	—	2	16	no	—
261	C₂²×C₄	—	2	12	no	—
262	C₂²×C₄	—	2	12	no	—
263	C₂²×C₄	—	2	6	no	—
264	C₂²×C₄	C₂×D₄×C₈₉	1	12	yes	—
265	C₂²×C₄	C₂×D₄×C₈₉	1	12	yes	—
266	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
267	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
268	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
269	C₄⋊C₄	—	2	12	no	—
270	C₄⋊C₄	—	2	24	no	—
271	C₄⋊C₄	—	2	6	no	—
272	C₂²⋊C₄	—	2	12	no	—
273	C₂²⋊C₄	—	2	24	no	—
274	C₂²⋊C₄	—	2	12	no	—
275	C₂²⋊C₄	—	2	12	no	—
276	C₂²⋊C₄	C₂⁴×C₈₉	1	12	yes	—
277	C₄²	—	2	6	no	—
278	C₂³	—	2	16	no	—
279	C₂³	—	2	24	no	—
280	C₂³	—	2	3	no	—
281	C₂³	—	8	2	no	—
282	C₂³	—	8	1	no	—
283	C₂³	—	8	12	no	—
284	C₂³	—	16	8	no	—
285	C₂³	C₂²×D₄×C₈₉	1	12	yes	—
286	C₂³	C₂²×D₄×C₈₉	1	12	yes	—
287	C₂³	C₂⁵×C₈₉	1	1	yes	characteristic
288	Q₈	—	2	16	no	—
289	Q₈	—	2	12	no	—
290	Q₈	—	4	4	no	—
291	D₄	—	2	48	no	—
292	D₄	—	2	48	no	—
293	D₄	—	2	24	no	—
294	D₄	—	2	12	no	—
295	D₄	—	4	8	no	—
296	D₄	—	8	12	no	—
297	D₄	#120×C₈₉	1	16	yes	—
298	C₂×C₄	—	2	48	no	—
299	C₂×C₄	—	2	24	no	—
300	C₂×C₄	—	2	24	no	—
301	C₂×C₄	—	2	12	no	—
302	C₂×C₄	—	2	3	no	—
303	C₂×C₄	—	2	6	no	—
304	C₂×C₄	—	4	8	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	8	12	no	—
307	C₂×C₄	C₂²×D₄×C₈₉	1	12	yes	—
308	C₂×C₄	C₂²×D₄×C₈₉	1	6	yes	—
309	C₂²	—	2	12	no	—
310	C₂²	—	4	12	no	—
311	C₂²	—	4	1	no	—
312	C₂²	—	4	12	no	—
313	C₂²	—	4	6	no	—
314	C₂²	—	4	1	no	—
315	C₂²	—	8	24	no	—
316	C₂²	—	8	16	no	—
317	C₂²	C₂×#120×C₈₉	1	8	yes	—
318	C₂²	C₂³×D₄×C₈₉	1	3	yes	—
319	C₄	—	2	12	no	—
320	C₄	—	4	12	no	—
321	C₄	—	4	1	no	—
322	C₄	—	4	2	no	—
323	C₄	C₂×#120×C₈₉	1	4	yes	—
324	C₂	—	2	3	no	—
325	C₂	—	2	8	no	—
326	C₂	—	4	12	no	—
327	C₂	—	8	1	no	—
328	C₂	C₂²×#120×C₈₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂×C₈₉	C₂²×#120
commutator, Frattini, cosocle	C₂³	C₂⁵×C₈₉
LCS	G ▷ C₂³ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₈₉ ◁ C₂²×D₄×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₈₉×H(7,𝔽₂)	C₂	semidirect
2. C₈₉×#3485	C₂	semidirect
3. C₈₉×#3028	C₂	semidirect
4. C₈₉×#3026	C₂	semidirect
5. C₈₉×#3025	C₂	semidirect
6. C₂×#458×C₈₉	C₂	semidirect
7. C₈₉×#2883	C₂	semidirect
13. C₂²×#41×C₈₉	C₂²	semidirect
16. #536×C₈₉	C₂²	semidirect
17. #534×C₈₉	C₂²	semidirect
18. #525×C₈₉	C₂²	semidirect
19. C₂×#123×C₈₉	C₂²	semidirect
20. #518×C₈₉	C₂²	semidirect
21. #458×C₈₉	C₂²	semidirect
22. #458×C₈₉	C₂²	semidirect
23. B(4,𝔽₂)×C₈₉	C₂²	semidirect
24. #410×C₈₉	C₂²	semidirect
25. C₂×#99×C₈₉	C₂²	semidirect
37. C₂×#41×C₈₉	D₄	semidirect
39. C₂²×Q₈×C₈₉	C₂³	semidirect
42. C₂²×D₄×C₈₉	D₄	semidirect
45. C₂²×D₄×C₈₉	C₂³	semidirect
46. C₂³×C₄×C₈₉	C₂³	semidirect
47. C₂³×C₄×C₈₉	C₂³	semidirect
52. #123×C₈₉	C₂³	semidirect
53. #123×C₈₉	C₂³	semidirect
59. #120×C₈₉	C₂³	semidirect
62. #117×C₈₉	C₂³	semidirect
65. C₂×C₂²⋊C₄×C₈₉	C₂³	semidirect
66. #99×C₈₉	C₂³	semidirect
159. #60401	C₈₉	direct (N × H)
165. H(7,𝔽₂)	C₂×C₈₉	semidirect
166. #3485	C₂×C₈₉	semidirect
167. #3028	C₂×C₈₉	semidirect
168. #3026	C₂×C₈₉	semidirect
169. #3025	C₂×C₈₉	semidirect
170. C₂×#458	C₂×C₈₉	semidirect
171. #2883	C₂×C₈₉	semidirect
172. C₈₉	#60401	direct (N × H)
178. C₂²×#41	C₂²×C₈₉	semidirect
181. #536	C₂²×C₈₉	semidirect
182. #534	C₂²×C₈₉	semidirect
183. #525	C₂²×C₈₉	semidirect
184. C₂×#123	C₂²×C₈₉	semidirect
185. #518	C₂²×C₈₉	semidirect
186. #458	C₂²×C₈₉	semidirect
187. #458	C₂²×C₈₉	semidirect
188. B(4,𝔽₂)	C₂²×C₈₉	semidirect
189. #410	C₂²×C₈₉	semidirect
190. C₂×#99	C₂²×C₈₉	semidirect
202. C₂×#41	D₄×C₈₉	semidirect
204. C₂²×Q₈	C₂³×C₈₉	semidirect
207. C₂²×D₄	D₄×C₈₉	semidirect
210. C₂²×D₄	C₂³×C₈₉	semidirect
211. C₂³×C₄	C₂³×C₈₉	semidirect
212. C₂³×C₄	C₂³×C₈₉	semidirect
217. #123	C₂³×C₈₉	semidirect
218. #123	C₂³×C₈₉	semidirect
224. #120	C₂³×C₈₉	semidirect
227. #117	C₂³×C₈₉	semidirect
230. C₂×C₂²⋊C₄	C₂³×C₈₉	semidirect
231. #99	C₂³×C₈₉	semidirect

Maximal subgroups

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

subgroup	index
C₈₉×H(7,𝔽₂)	2
C₈₉×#3485	2
C₈₉×#3028	2
C₈₉×#3026	2
C₈₉×#3025	2
C₂×#458×C₈₉	2
C₈₉×#2883	2
#60401	89

Subgroups — C89×#60401 #36438249

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₈₉×#60401 #36438249