Subgroups — C₂×C₈₉×#3245 #36438742

Order 22784.

2458 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#532×C₈₉	C₂	1	2	yes	maximal, complemented
2	C₈₉×#3245	C₂	1	16	yes	maximal, direct product factor
3	C₂×#474×C₈₉	C₂	1	4	yes	maximal, complemented
4	C₂×#466×C₈₉	C₂	1	4	yes	maximal, complemented
5	C₂×#459×C₈₉	C₂	1	4	yes	maximal, complemented
6	C₂²×C₄⋊C₈×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×#41×C₈₉	—	2	2	no	—
8	C₂²×D₈×C₈₉	C₂²	1	4	yes	—
9	C₂³×C₈×C₈₉	C₂²	1	2	yes	—
10	#532×C₈₉	—	2	8	no	—
11	#532×C₈₉	C₂²	1	16	yes	complemented
12	C₂×C₄⋊Q₈×C₈₉	C₂²	1	2	yes	—
13	C₂×#127×C₈₉	C₂²	1	2	yes	—
14	C₂×#124×C₈₉	—	2	2	no	—
15	C₂×#121×C₈₉	—	2	2	no	—
16	C₂×#121×C₈₉	C₂²	1	4	yes	—
17	C₂×C₄×D₄×C₈₉	—	2	2	no	—
18	C₂×C₄×D₄×C₈₉	C₂²	1	4	yes	—
19	C₂²×C₄²×C₈₉	C₂²	1	1	yes	characteristic
20	#474×C₈₉	C₂²	1	32	yes	complemented
21	#466×C₈₉	C₂²	1	32	yes	complemented
22	#459×C₈₉	C₂²	1	32	yes	complemented
23	C₂×#107×C₈₉	C₂²	1	4	yes	—
24	C₂×C₄⋊C₈×C₈₉	C₂²	1	4	yes	—
25	C₂×C₄⋊C₈×C₈₉	C₂²	1	8	yes	complemented
26	C₂×#102×C₈₉	C₂²	1	8	yes	—
27	C₂×#41×C₈₉	—	2	16	no	—
28	C₂×#41×C₈₉	—	4	16	no	—
29	C₂²×Q₈×C₈₉	—	2	2	no	—
30	C₂²×D₄×C₈₉	—	2	4	no	—
31	C₂²×D₄×C₈₉	—	2	2	no	—
32	C₂²×D₄×C₈₉	—	2	2	no	—
33	C₂²×D₄×C₈₉	C₂³	1	4	yes	—
34	C₂³×C₄×C₈₉	—	2	4	no	—
35	C₂³×C₄×C₈₉	D₄	1	1	yes	characteristic
36	C₂³×C₄×C₈₉	D₄	1	1	yes	characteristic
37	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
38	C₂×D₈×C₈₉	—	4	8	no	—
39	C₂×D₈×C₈₉	C₂³	1	16	yes	—
40	C₂²×C₈×C₈₉	—	4	4	no	—
41	C₂²×C₈×C₈₉	C₂³	1	4	yes	—
42	C₂²×C₈×C₈₉	C₂³	1	8	yes	—
43	C₄⋊Q₈×C₈₉	—	2	4	no	—
44	C₄⋊Q₈×C₈₉	C₂³	1	8	yes	—
45	#127×C₈₉	—	2	4	no	—
46	#127×C₈₉	C₂³	1	8	yes	—
47	#124×C₈₉	—	2	16	no	—
48	#121×C₈₉	—	2	16	no	—
49	#121×C₈₉	—	2	8	no	—
50	#121×C₈₉	C₂³	1	16	yes	—
51	C₄×D₄×C₈₉	—	2	16	no	—
52	C₄×D₄×C₈₉	—	2	8	no	—
53	C₄×D₄×C₈₉	C₂³	1	16	yes	—
54	C₂×C₄⋊C₄×C₈₉	—	2	2	no	—
55	C₂×C₄⋊C₄×C₈₉	C₂³	1	4	yes	—
56	C₂×C₂²⋊C₄×C₈₉	—	2	4	no	—
57	C₂×C₂²⋊C₄×C₈₉	—	2	4	no	—
58	C₂×C₄²×C₈₉	D₄	1	2	yes	—
59	C₂×C₄²×C₈₉	D₄	1	4	yes	—
60	C₂×C₄²×C₈₉	C₂³	1	2	yes	—
61	C₂×C₄²×C₈₉	C₂³	1	4	yes	—
62	#107×C₈₉	C₂³	1	16	yes	—
63	C₄⋊C₈×C₈₉	C₂³	1	16	yes	—
64	#102×C₈₉	C₂³	1	32	yes	—
65	C₂⁴×C₈₉	—	2	4	no	—
66	C₂⁴×C₈₉	C₂×D₄	1	1	yes	characteristic
67	#41×C₈₉	—	4	64	no	—
68	C₂×Q₈×C₈₉	—	2	8	no	—
69	C₂×Q₈×C₈₉	—	4	8	no	—
70	C₂×D₄×C₈₉	—	2	16	no	—
71	C₂×D₄×C₈₉	—	2	4	no	—
72	C₂×D₄×C₈₉	—	2	8	no	—
73	C₂×D₄×C₈₉	—	2	8	no	—
74	C₂×D₄×C₈₉	—	2	8	no	—
75	C₂×D₄×C₈₉	—	2	8	no	—
76	C₂×D₄×C₈₉	—	4	8	no	—
77	C₂×D₄×C₈₉	—	4	16	no	—
78	C₂×D₄×C₈₉	—	4	8	no	—
79	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
80	C₂²×C₄×C₈₉	—	2	2	no	—
81	C₂²×C₄×C₈₉	—	2	2	no	—
82	C₂²×C₄×C₈₉	—	2	4	no	—
83	C₂²×C₄×C₈₉	—	2	16	no	—
84	C₂²×C₄×C₈₉	—	4	2	no	—
85	C₂²×C₄×C₈₉	—	4	16	no	—
86	C₂²×C₄×C₈₉	D₈	1	8	yes	complemented
87	C₂²×C₄×C₈₉	C₂×D₄	1	2	yes	—
88	C₂²×C₄×C₈₉	C₂×D₄	1	1	yes	characteristic
89	C₂²×C₄×C₈₉	C₂×D₄	1	2	yes	—
90	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
91	C₂²×C₄×C₈₉	C₂×D₄	1	2	yes	—
92	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
93	C₂²×C₄×C₈₉	C₂⁴	1	2	yes	—
94	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
95	D₈×C₈₉	—	4	16	no	—
96	C₂×C₈×C₈₉	—	2	8	no	—
97	C₂×C₈×C₈₉	—	4	8	no	—
98	C₂×C₈×C₈₉	C₂⁴	1	8	yes	—
99	C₄⋊C₄×C₈₉	—	2	8	no	—
100	C₄⋊C₄×C₈₉	—	2	4	no	—
101	C₄⋊C₄×C₈₉	C₂⁴	1	8	yes	—
102	C₂²⋊C₄×C₈₉	—	2	16	no	—
103	C₂²⋊C₄×C₈₉	—	2	16	no	—
104	C₄²×C₈₉	C₂×D₄	1	8	yes	—
105	C₄²×C₈₉	C₂×D₄	1	4	yes	—
106	C₄²×C₈₉	C₂⁴	1	4	yes	—
107	C₂³×C₈₉	—	2	2	no	—
108	C₂³×C₈₉	—	2	2	no	—
109	C₂³×C₈₉	—	2	8	no	—
110	C₂³×C₈₉	—	4	8	no	—
111	C₂³×C₈₉	—	4	8	no	—
112	C₂³×C₈₉	—	4	8	no	—
113	C₂³×C₈₉	C₂×D₈	1	4	yes	—
114	C₂³×C₈₉	C₂²×D₄	1	2	yes	—
115	C₂³×C₈₉	C₂²×D₄	1	1	yes	characteristic
116	Q₈×C₈₉	—	4	16	no	—
117	D₄×C₈₉	—	2	8	no	—
118	D₄×C₈₉	—	2	8	no	—
119	D₄×C₈₉	—	4	16	no	—
120	D₄×C₈₉	—	4	32	no	—
121	D₄×C₈₉	—	4	8	no	—
122	D₄×C₈₉	—	4	16	no	—
123	C₂×C₄×C₈₉	—	2	2	no	—
124	C₂×C₄×C₈₉	—	2	4	no	—
125	C₂×C₄×C₈₉	—	2	4	no	—
126	C₂×C₄×C₈₉	—	2	2	no	—
127	C₂×C₄×C₈₉	—	2	2	no	—
128	C₂×C₄×C₈₉	—	2	8	no	—
129	C₂×C₄×C₈₉	—	4	4	no	—
130	C₂×C₄×C₈₉	—	4	8	no	—
131	C₂×C₄×C₈₉	—	4	32	no	—
132	C₂×C₄×C₈₉	C₂×D₈	1	8	yes	—
133	C₂×C₄×C₈₉	C₂×D₈	1	16	yes	complemented
134	C₂×C₄×C₈₉	C₂²×D₄	1	2	yes	—
135	C₂×C₄×C₈₉	C₂²×D₄	1	4	yes	—
136	C₂×C₄×C₈₉	C₂²×D₄	1	1	yes	characteristic
137	C₂×C₄×C₈₉	C₂²×D₄	1	4	yes	—
138	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
139	C₂×C₄×C₈₉	2₋¹⁺⁴	1	2	yes	—
140	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
141	C₈×C₈₉	—	2	8	no	—
142	C₂²×C₈₉	—	2	2	no	—
143	C₂²×C₈₉	—	2	8	no	—
144	C₂²×C₈₉	—	2	2	no	—
145	C₂²×C₈₉	—	4	8	no	—
146	C₂²×C₈₉	—	4	8	no	—
147	C₂²×C₈₉	—	4	8	no	—
148	C₂²×C₈₉	—	8	16	no	—
149	C₂²×C₈₉	#537	1	2	yes	—
150	C₂²×C₈₉	C₂²×D₈	1	4	yes	—
151	C₂²×C₈₉	C₂²×D₈	1	2	yes	—
152	C₂²×C₈₉	#575	1	2	yes	—
153	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
154	C₄×C₈₉	—	2	2	no	—
155	C₄×C₈₉	—	2	4	no	—
156	C₄×C₈₉	—	4	8	no	—
157	C₄×C₈₉	#537	1	2	yes	—
158	C₄×C₈₉	C₂²×D₈	1	8	yes	—
159	C₄×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
160	C₄×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
161	C₂×#3245	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
162	C₂×C₈₉	—	2	4	no	—
163	C₂×C₈₉	—	8	8	no	—
164	C₂×C₈₉	#3245	1	4	yes	direct product factor
165	C₂×C₈₉	C₂×#537	1	1	yes	characteristic
166	C₂×C₈₉	C₂³×D₈	1	1	yes	characteristic
167	C₂×C₈₉	C₂×#575	1	1	yes	characteristic
168	C₂×#532	C₂×C₈₉	1	2	yes	complemented
169	#3245	C₂×C₈₉	1	16	yes	direct product factor
170	C₂×#474	C₂×C₈₉	1	4	yes	complemented
171	C₂×#466	C₂×C₈₉	1	4	yes	complemented
172	C₂×#459	C₂×C₈₉	1	4	yes	complemented
173	C₂²×C₄⋊C₈	C₂×C₈₉	1	1	yes	characteristic, complemented
174	C₈₉	C₂×#3245	1	1	yes	characteristic, direct product factor, Sylow
175	C₂²×#41	—	2	2	no	—
176	C₂²×D₈	C₂²×C₈₉	1	4	yes	—
177	C₂³×C₈	C₂²×C₈₉	1	2	yes	—
178	#532	—	2	8	no	—
179	#532	C₂²×C₈₉	1	16	yes	complemented
180	C₂×C₄⋊Q₈	C₂²×C₈₉	1	2	yes	—
181	C₂×#127	C₂²×C₈₉	1	2	yes	—
182	C₂×#124	—	2	2	no	—
183	C₂×#121	—	2	2	no	—
184	C₂×#121	C₂²×C₈₉	1	4	yes	—
185	C₂×C₄×D₄	—	2	2	no	—
186	C₂×C₄×D₄	C₂²×C₈₉	1	4	yes	—
187	C₂²×C₄²	C₂²×C₈₉	1	1	yes	characteristic
188	#474	C₂²×C₈₉	1	32	yes	complemented
189	#466	C₂²×C₈₉	1	32	yes	complemented
190	#459	C₂²×C₈₉	1	32	yes	complemented
191	C₂×#107	C₂²×C₈₉	1	4	yes	—
192	C₂×C₄⋊C₈	C₂²×C₈₉	1	4	yes	—
193	C₂×C₄⋊C₈	C₂²×C₈₉	1	8	yes	complemented
194	C₂×#102	C₂²×C₈₉	1	8	yes	—
195	C₂×#41	—	2	16	no	—
196	C₂×#41	—	4	16	no	—
197	C₂²×Q₈	—	2	2	no	—
198	C₂²×D₄	—	2	4	no	—
199	C₂²×D₄	—	2	2	no	—
200	C₂²×D₄	—	2	2	no	—
201	C₂²×D₄	C₂³×C₈₉	1	4	yes	—
202	C₂³×C₄	—	2	4	no	—
203	C₂³×C₄	D₄×C₈₉	1	1	yes	characteristic
204	C₂³×C₄	D₄×C₈₉	1	1	yes	characteristic
205	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
206	C₂×D₈	—	4	8	no	—
207	C₂×D₈	C₂³×C₈₉	1	16	yes	—
208	C₂²×C₈	—	4	4	no	—
209	C₂²×C₈	C₂³×C₈₉	1	4	yes	—
210	C₂²×C₈	C₂³×C₈₉	1	8	yes	—
211	C₄⋊Q₈	—	2	4	no	—
212	C₄⋊Q₈	C₂³×C₈₉	1	8	yes	—
213	#127	—	2	4	no	—
214	#127	C₂³×C₈₉	1	8	yes	—
215	#124	—	2	16	no	—
216	#121	—	2	16	no	—
217	#121	—	2	8	no	—
218	#121	C₂³×C₈₉	1	16	yes	—
219	C₄×D₄	—	2	16	no	—
220	C₄×D₄	—	2	8	no	—
221	C₄×D₄	C₂³×C₈₉	1	16	yes	—
222	C₂×C₄⋊C₄	—	2	2	no	—
223	C₂×C₄⋊C₄	C₂³×C₈₉	1	4	yes	—
224	C₂×C₂²⋊C₄	—	2	4	no	—
225	C₂×C₂²⋊C₄	—	2	4	no	—
226	C₂×C₄²	D₄×C₈₉	1	2	yes	—
227	C₂×C₄²	D₄×C₈₉	1	4	yes	—
228	C₂×C₄²	C₂³×C₈₉	1	2	yes	—
229	C₂×C₄²	C₂³×C₈₉	1	4	yes	—
230	#107	C₂³×C₈₉	1	16	yes	—
231	C₄⋊C₈	C₂³×C₈₉	1	16	yes	—
232	#102	C₂³×C₈₉	1	32	yes	—
233	C₂⁴	—	2	4	no	—
234	C₂⁴	C₂×D₄×C₈₉	1	1	yes	characteristic
235	#41	—	4	64	no	—
236	C₂×Q₈	—	2	8	no	—
237	C₂×Q₈	—	4	8	no	—
238	C₂×D₄	—	2	16	no	—
239	C₂×D₄	—	2	4	no	—
240	C₂×D₄	—	2	8	no	—
241	C₂×D₄	—	2	8	no	—
242	C₂×D₄	—	2	8	no	—
243	C₂×D₄	—	2	8	no	—
244	C₂×D₄	—	4	8	no	—
245	C₂×D₄	—	4	16	no	—
246	C₂×D₄	—	4	8	no	—
247	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
248	C₂²×C₄	—	2	2	no	—
249	C₂²×C₄	—	2	2	no	—
250	C₂²×C₄	—	2	4	no	—
251	C₂²×C₄	—	2	16	no	—
252	C₂²×C₄	—	4	2	no	—
253	C₂²×C₄	—	4	16	no	—
254	C₂²×C₄	D₈×C₈₉	1	8	yes	complemented
255	C₂²×C₄	C₂×D₄×C₈₉	1	1	yes	characteristic
256	C₂²×C₄	C₂×D₄×C₈₉	1	2	yes	—
257	C₂²×C₄	C₂×D₄×C₈₉	1	2	yes	—
258	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
259	C₂²×C₄	C₂×D₄×C₈₉	1	2	yes	—
260	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
261	C₂²×C₄	C₂⁴×C₈₉	1	2	yes	—
262	C₂²×C₄	C₂⁴×C₈₉	1	1	yes	characteristic
263	D₈	—	4	16	no	—
264	C₂×C₈	—	2	8	no	—
265	C₂×C₈	—	4	8	no	—
266	C₂×C₈	C₂⁴×C₈₉	1	8	yes	—
267	C₄⋊C₄	—	2	8	no	—
268	C₄⋊C₄	—	2	4	no	—
269	C₄⋊C₄	C₂⁴×C₈₉	1	8	yes	—
270	C₂²⋊C₄	—	2	16	no	—
271	C₂²⋊C₄	—	2	16	no	—
272	C₄²	C₂×D₄×C₈₉	1	8	yes	—
273	C₄²	C₂×D₄×C₈₉	1	4	yes	—
274	C₄²	C₂⁴×C₈₉	1	4	yes	—
275	C₂³	—	2	2	no	—
276	C₂³	—	2	2	no	—
277	C₂³	—	2	8	no	—
278	C₂³	—	4	8	no	—
279	C₂³	—	4	8	no	—
280	C₂³	—	4	8	no	—
281	C₂³	C₂×D₈×C₈₉	1	4	yes	—
282	C₂³	C₂²×D₄×C₈₉	1	2	yes	—
283	C₂³	C₂²×D₄×C₈₉	1	1	yes	characteristic
284	Q₈	—	4	16	no	—
285	D₄	—	2	8	no	—
286	D₄	—	2	8	no	—
287	D₄	—	4	16	no	—
288	D₄	—	4	32	no	—
289	D₄	—	4	8	no	—
290	D₄	—	4	16	no	—
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	4	no	—
293	C₂×C₄	—	2	4	no	—
294	C₂×C₄	—	2	2	no	—
295	C₂×C₄	—	2	2	no	—
296	C₂×C₄	—	2	8	no	—
297	C₂×C₄	—	4	4	no	—
298	C₂×C₄	—	4	8	no	—
299	C₂×C₄	—	4	32	no	—
300	C₂×C₄	C₂×D₈×C₈₉	1	8	yes	—
301	C₂×C₄	C₂×D₈×C₈₉	1	16	yes	complemented
302	C₂×C₄	C₂²×D₄×C₈₉	1	2	yes	—
303	C₂×C₄	C₂²×D₄×C₈₉	1	4	yes	—
304	C₂×C₄	C₂²×D₄×C₈₉	1	1	yes	characteristic
305	C₂×C₄	C₂²×D₄×C₈₉	1	4	yes	—
306	C₂×C₄	H(5,𝔽₂)×C₈₉	1	2	yes	—
307	C₂×C₄	2₋¹⁺⁴×C₈₉	1	2	yes	—
308	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
309	C₈	—	2	8	no	—
310	C₂²	—	2	2	no	—
311	C₂²	—	2	2	no	—
312	C₂²	—	2	8	no	—
313	C₂²	—	4	8	no	—
314	C₂²	—	4	8	no	—
315	C₂²	—	4	8	no	—
316	C₂²	—	8	16	no	—
317	C₂²	#537×C₈₉	1	2	yes	—
318	C₂²	C₂²×D₈×C₈₉	1	4	yes	—
319	C₂²	C₂²×D₈×C₈₉	1	2	yes	—
320	C₂²	#575×C₈₉	1	2	yes	—
321	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
322	C₄	—	2	4	no	—
323	C₄	—	2	2	no	—
324	C₄	—	4	8	no	—
325	C₄	#537×C₈₉	1	2	yes	—
326	C₄	C₂²×D₈×C₈₉	1	8	yes	—
327	C₄	C₂×H(5,𝔽₂)×C₈₉	1	1	yes	characteristic
328	C₄	C₂×2₋¹⁺⁴×C₈₉	1	1	yes	characteristic
329	C₂	—	2	4	no	—
330	C₂	—	8	8	no	—
331	C₂	C₈₉×#3245	1	4	yes	direct product factor
332	C₂	C₂×#537×C₈₉	1	1	yes	characteristic
333	C₂	C₂³×D₈×C₈₉	1	1	yes	characteristic
334	C₂	C₂×#575×C₈₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₈₉	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₈₉ ◁ C₂²×C₄²×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#532×C₈₉	C₂	semidirect
2. C₈₉×#3245	C₂	direct (N × H)
3. C₂×#474×C₈₉	C₂	semidirect
4. C₂×#466×C₈₉	C₂	semidirect
5. C₂×#459×C₈₉	C₂	semidirect
6. C₂²×C₄⋊C₈×C₈₉	C₂	semidirect
11. #532×C₈₉	C₂²	semidirect
20. #474×C₈₉	C₂²	semidirect
21. #466×C₈₉	C₂²	semidirect
22. #459×C₈₉	C₂²	semidirect
25. C₂×C₄⋊C₈×C₈₉	C₂²	semidirect
86. C₂²×C₄×C₈₉	D₈	semidirect
133. C₂×C₄×C₈₉	C₂×D₈	semidirect
161. C₂×#3245	C₈₉	direct (N × H)
164. C₂×C₈₉	#3245	direct (N × H)
168. C₂×#532	C₂×C₈₉	semidirect
169. #3245	C₂×C₈₉	direct (N × H)
170. C₂×#474	C₂×C₈₉	semidirect
171. C₂×#466	C₂×C₈₉	semidirect
172. C₂×#459	C₂×C₈₉	semidirect
173. C₂²×C₄⋊C₈	C₂×C₈₉	semidirect
174. C₈₉	C₂×#3245	direct (N × H)
179. #532	C₂²×C₈₉	semidirect
188. #474	C₂²×C₈₉	semidirect
189. #466	C₂²×C₈₉	semidirect
190. #459	C₂²×C₈₉	semidirect
193. C₂×C₄⋊C₈	C₂²×C₈₉	semidirect
254. C₂²×C₄	D₈×C₈₉	semidirect
301. C₂×C₄	C₂×D₈×C₈₉	semidirect
331. C₂	C₈₉×#3245	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#532×C₈₉	2
C₈₉×#3245	2
C₂×#474×C₈₉	2
C₂×#466×C₈₉	2
C₂×#459×C₈₉	2
C₂²×C₄⋊C₈×C₈₉	2
C₂×#3245	89

Subgroups — C2×C89×#3245 #36438742

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₈₉×#3245 #36438742