Subgroups — C₂²×#460×C₈₉ #36438254

Order 22784.

3478 conjugacy classes of subgroups.

The subgroup lattice has 304 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×SD₁₆×C₈₉	C₂	1	2	yes	maximal, complemented
2	C₂²×#127×C₈₉	C₂	1	1	yes	maximal, characteristic
3	C₂²×C₄×Q₈×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#460×C₈₉	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₄⋊C₈×C₈₉	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×#102×C₈₉	C₂	1	2	yes	maximal, complemented
7	C₂³×Q₈×C₈₉	C₂²	1	1	yes	characteristic
8	C₂³×D₄×C₈₉	—	2	1	no	—
9	C₂³×D₄×C₈₉	—	2	1	no	—
10	C₂³×D₄×C₈₉	C₂²	1	2	yes	—
11	C₂²×SD₁₆×C₈₉	—	2	16	no	—
12	C₂²×SD₁₆×C₈₉	C₂²	1	24	yes	complemented
13	C₂³×C₈×C₈₉	C₂²	1	2	yes	—
14	C₂×#127×C₈₉	—	2	6	no	—
15	C₂×#127×C₈₉	C₂²	1	12	yes	—
16	C₂×C₄×Q₈×C₈₉	—	2	6	no	—
17	C₂×C₄×Q₈×C₈₉	C₂²	1	12	yes	complemented
18	C₂²×C₄⋊C₄×C₈₉	—	2	1	no	—
19	C₂²×C₄⋊C₄×C₈₉	C₂²	1	1	yes	characteristic
20	C₂²×C₄²×C₈₉	—	2	1	no	—
21	C₂²×C₄²×C₈₉	C₂²	1	1	yes	characteristic
22	#460×C₈₉	C₂²	1	64	yes	direct product factor
23	C₂×C₄⋊C₈×C₈₉	C₂²	1	12	yes	complemented
24	C₂×#102×C₈₉	C₂²	1	24	yes	complemented
25	C₂⁵×C₈₉	—	2	2	no	—
26	C₂²×Q₈×C₈₉	—	2	3	no	—
27	C₂²×Q₈×C₈₉	—	2	4	no	—
28	C₂²×Q₈×C₈₉	D₄	1	8	yes	complemented
29	C₂²×Q₈×C₈₉	C₂³	1	6	yes	—
30	C₂²×D₄×C₈₉	—	2	8	no	—
31	C₂²×D₄×C₈₉	—	2	6	no	—
32	C₂²×D₄×C₈₉	—	2	12	no	—
33	C₂²×D₄×C₈₉	—	2	12	no	—
34	C₂²×D₄×C₈₉	—	2	8	no	—
35	C₂²×D₄×C₈₉	—	4	8	no	—
36	C₂²×D₄×C₈₉	—	4	8	no	—
37	C₂²×D₄×C₈₉	C₂³	1	12	yes	—
38	C₂³×C₄×C₈₉	—	2	1	no	—
39	C₂³×C₄×C₈₉	—	2	1	no	—
40	C₂³×C₄×C₈₉	D₄	1	1	yes	characteristic
41	C₂³×C₄×C₈₉	D₄	1	1	yes	characteristic
42	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
43	C₂×SD₁₆×C₈₉	—	2	96	no	—
44	C₂×SD₁₆×C₈₉	C₂³	1	32	yes	complemented
45	C₂²×C₈×C₈₉	—	2	8	no	—
46	C₂²×C₈×C₈₉	C₂³	1	12	yes	—
47	#127×C₈₉	—	2	24	no	—
48	#127×C₈₉	C₂³	1	16	yes	—
49	C₄×Q₈×C₈₉	—	2	24	no	—
50	C₄×Q₈×C₈₉	C₂³	1	16	yes	complemented
51	C₂×C₄⋊C₄×C₈₉	—	2	12	no	—
52	C₂×C₄⋊C₄×C₈₉	—	2	3	no	—
53	C₂×C₄⋊C₄×C₈₉	C₂³	1	6	yes	—
54	C₂×C₄²×C₈₉	—	2	12	no	—
55	C₂×C₄²×C₈₉	D₄	1	6	yes	—
56	C₂×C₄²×C₈₉	C₂³	1	6	yes	—
57	C₄⋊C₈×C₈₉	C₂³	1	16	yes	complemented
58	#102×C₈₉	C₂³	1	32	yes	complemented
59	C₂⁴×C₈₉	—	2	12	no	—
60	C₂⁴×C₈₉	—	4	8	no	—
61	C₂⁴×C₈₉	—	4	8	no	—
62	C₂⁴×C₈₉	—	4	8	no	—
63	C₂⁴×C₈₉	C₂×D₄	1	1	yes	characteristic
64	C₂×Q₈×C₈₉	—	2	24	no	—
65	C₂×Q₈×C₈₉	—	2	6	no	—
66	C₂×Q₈×C₈₉	—	2	12	no	—
67	C₂×Q₈×C₈₉	C₂×D₄	1	24	yes	complemented
68	C₂×Q₈×C₈₉	C₂⁴	1	4	yes	—
69	C₂×D₄×C₈₉	—	2	24	no	—
70	C₂×D₄×C₈₉	—	2	12	no	—
71	C₂×D₄×C₈₉	—	2	16	no	—
72	C₂×D₄×C₈₉	—	2	16	no	—
73	C₂×D₄×C₈₉	—	2	24	no	—
74	C₂×D₄×C₈₉	—	4	48	no	—
75	C₂×D₄×C₈₉	—	4	24	no	—
76	C₂×D₄×C₈₉	—	4	48	no	—
77	C₂×D₄×C₈₉	C₂⁴	1	8	yes	—
78	C₂²×C₄×C₈₉	—	2	8	no	—
79	C₂²×C₄×C₈₉	—	2	4	no	—
80	C₂²×C₄×C₈₉	—	2	6	no	—
81	C₂²×C₄×C₈₉	—	2	6	no	—
82	C₂²×C₄×C₈₉	—	4	4	no	—
83	C₂²×C₄×C₈₉	SD₁₆	1	8	yes	complemented
84	C₂²×C₄×C₈₉	C₂×D₄	1	6	yes	—
85	C₂²×C₄×C₈₉	C₂×D₄	1	3	yes	—
86	C₂²×C₄×C₈₉	C₂×D₄	1	4	yes	—
87	C₂²×C₄×C₈₉	C₂×D₄	1	6	yes	—
88	C₂²×C₄×C₈₉	#41	1	4	yes	—
89	C₂²×C₄×C₈₉	C₂⁴	1	3	yes	—
90	SD₁₆×C₈₉	—	2	64	no	—
91	C₂×C₈×C₈₉	—	2	24	no	—
92	C₂×C₈×C₈₉	C₂⁴	1	8	yes	—
93	C₄⋊C₄×C₈₉	—	2	16	no	—
94	C₄⋊C₄×C₈₉	—	2	6	no	—
95	C₄⋊C₄×C₈₉	C₂⁴	1	4	yes	—
96	C₄²×C₈₉	—	2	16	no	—
97	C₄²×C₈₉	C₂×D₄	1	12	yes	—
98	C₄²×C₈₉	C₂⁴	1	4	yes	—
99	C₂³×C₈₉	—	2	8	no	—
100	C₂³×C₈₉	—	4	24	no	—
101	C₂³×C₈₉	—	4	24	no	—
102	C₂³×C₈₉	—	4	24	no	—
103	C₂³×C₈₉	—	8	32	no	—
104	C₂³×C₈₉	#121	1	4	yes	—
105	C₂³×C₈₉	C₂×SD₁₆	1	4	yes	—
106	C₂³×C₈₉	AGL(1,ℤ/8)	1	4	yes	—
107	C₂³×C₈₉	C₂²×D₄	1	3	yes	—
108	Q₈×C₈₉	—	2	24	no	—
109	Q₈×C₈₉	—	2	4	no	—
110	Q₈×C₈₉	C₂²×D₄	1	8	yes	complemented
111	D₄×C₈₉	—	2	8	no	—
112	D₄×C₈₉	—	2	8	no	—
113	D₄×C₈₉	—	4	32	no	—
114	D₄×C₈₉	—	4	24	no	—
115	D₄×C₈₉	—	4	32	no	—
116	C₂×C₄×C₈₉	—	2	24	no	—
117	C₂×C₄×C₈₉	—	2	12	no	—
118	C₂×C₄×C₈₉	—	2	4	no	—
119	C₂×C₄×C₈₉	—	2	4	no	—
120	C₂×C₄×C₈₉	—	4	12	no	—
121	C₂×C₄×C₈₉	#121	1	12	yes	—
122	C₂×C₄×C₈₉	C₂×SD₁₆	1	24	yes	complemented
123	C₂×C₄×C₈₉	C₂²×D₄	1	4	yes	—
124	C₂×C₄×C₈₉	C₂²×D₄	1	3	yes	—
125	C₂×C₄×C₈₉	C₂²×D₄	1	6	yes	—
126	C₂×C₄×C₈₉	C₂²×D₄	1	4	yes	—
127	C₂×C₄×C₈₉	C₂×#41	1	6	yes	—
128	C₂×C₄×C₈₉	C₂⁵	1	1	yes	characteristic
129	C₈×C₈₉	—	2	8	no	—
130	C₂²×C₈₉	—	4	8	no	—
131	C₂²×C₈₉	—	4	8	no	—
132	C₂²×C₈₉	—	4	8	no	—
133	C₂²×C₈₉	—	8	48	no	—
134	C₂²×C₈₉	#460	1	16	yes	direct product factor
135	C₂²×C₈₉	C₂×#121	1	6	yes	—
136	C₂²×C₈₉	C₂²×SD₁₆	1	6	yes	—
137	C₂²×C₈₉	C₂×AGL(1,ℤ/8)	1	6	yes	—
138	C₂²×C₈₉	C₂³×D₄	1	1	yes	characteristic
139	C₄×C₈₉	—	2	8	no	—
140	C₄×C₈₉	—	2	4	no	—
141	C₄×C₈₉	—	4	4	no	—
142	C₄×C₈₉	C₂×#121	1	6	yes	—
143	C₄×C₈₉	C₂²×SD₁₆	1	8	yes	complemented
144	C₄×C₈₉	C₂³×D₄	1	1	yes	characteristic
145	C₄×C₈₉	C₂²×#41	1	1	yes	characteristic
146	C₂²×#460	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
147	C₂×C₈₉	—	8	8	no	—
148	C₂×C₈₉	C₂×#460	1	12	yes	direct product factor
149	C₂×C₈₉	C₂²×#121	1	1	yes	characteristic
150	C₂×C₈₉	C₂³×SD₁₆	1	1	yes	characteristic
151	C₂×C₈₉	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
152	C₂³×SD₁₆	C₂×C₈₉	1	2	yes	complemented
153	C₂²×#127	C₂×C₈₉	1	1	yes	characteristic
154	C₂²×C₄×Q₈	C₂×C₈₉	1	1	yes	characteristic, complemented
155	C₂×#460	C₂×C₈₉	1	24	yes	direct product factor
156	C₂²×C₄⋊C₈	C₂×C₈₉	1	1	yes	characteristic, complemented
157	C₂²×#102	C₂×C₈₉	1	2	yes	complemented
158	C₈₉	C₂²×#460	1	1	yes	characteristic, direct product factor, Sylow
159	C₂³×Q₈	C₂²×C₈₉	1	1	yes	characteristic
160	C₂³×D₄	—	2	1	no	—
161	C₂³×D₄	—	2	1	no	—
162	C₂³×D₄	C₂²×C₈₉	1	2	yes	—
163	C₂²×SD₁₆	—	2	16	no	—
164	C₂²×SD₁₆	C₂²×C₈₉	1	24	yes	complemented
165	C₂³×C₈	C₂²×C₈₉	1	2	yes	—
166	C₂×#127	—	2	6	no	—
167	C₂×#127	C₂²×C₈₉	1	12	yes	—
168	C₂×C₄×Q₈	—	2	6	no	—
169	C₂×C₄×Q₈	C₂²×C₈₉	1	12	yes	complemented
170	C₂²×C₄⋊C₄	—	2	1	no	—
171	C₂²×C₄⋊C₄	C₂²×C₈₉	1	1	yes	characteristic
172	C₂²×C₄²	—	2	1	no	—
173	C₂²×C₄²	C₂²×C₈₉	1	1	yes	characteristic
174	#460	C₂²×C₈₉	1	64	yes	direct product factor
175	C₂×C₄⋊C₈	C₂²×C₈₉	1	12	yes	complemented
176	C₂×#102	C₂²×C₈₉	1	24	yes	complemented
177	C₂⁵	—	2	2	no	—
178	C₂²×Q₈	—	2	3	no	—
179	C₂²×Q₈	—	2	4	no	—
180	C₂²×Q₈	D₄×C₈₉	1	8	yes	complemented
181	C₂²×Q₈	C₂³×C₈₉	1	6	yes	—
182	C₂²×D₄	—	2	8	no	—
183	C₂²×D₄	—	2	6	no	—
184	C₂²×D₄	—	2	12	no	—
185	C₂²×D₄	—	2	12	no	—
186	C₂²×D₄	—	2	8	no	—
187	C₂²×D₄	—	4	8	no	—
188	C₂²×D₄	—	4	8	no	—
189	C₂²×D₄	C₂³×C₈₉	1	12	yes	—
190	C₂³×C₄	—	2	1	no	—
191	C₂³×C₄	—	2	1	no	—
192	C₂³×C₄	D₄×C₈₉	1	1	yes	characteristic
193	C₂³×C₄	D₄×C₈₉	1	1	yes	characteristic
194	C₂³×C₄	C₂³×C₈₉	1	1	yes	characteristic
195	C₂×SD₁₆	—	2	96	no	—
196	C₂×SD₁₆	C₂³×C₈₉	1	32	yes	complemented
197	C₂²×C₈	—	2	8	no	—
198	C₂²×C₈	C₂³×C₈₉	1	12	yes	—
199	#127	—	2	24	no	—
200	#127	C₂³×C₈₉	1	16	yes	—
201	C₄×Q₈	—	2	24	no	—
202	C₄×Q₈	C₂³×C₈₉	1	16	yes	complemented
203	C₂×C₄⋊C₄	—	2	12	no	—
204	C₂×C₄⋊C₄	—	2	3	no	—
205	C₂×C₄⋊C₄	C₂³×C₈₉	1	6	yes	—
206	C₂×C₄²	—	2	12	no	—
207	C₂×C₄²	D₄×C₈₉	1	6	yes	—
208	C₂×C₄²	C₂³×C₈₉	1	6	yes	—
209	C₄⋊C₈	C₂³×C₈₉	1	16	yes	complemented
210	#102	C₂³×C₈₉	1	32	yes	complemented
211	C₂⁴	—	2	12	no	—
212	C₂⁴	—	4	8	no	—
213	C₂⁴	—	4	8	no	—
214	C₂⁴	—	4	8	no	—
215	C₂⁴	C₂×D₄×C₈₉	1	1	yes	characteristic
216	C₂×Q₈	—	2	24	no	—
217	C₂×Q₈	—	2	6	no	—
218	C₂×Q₈	—	2	12	no	—
219	C₂×Q₈	C₂×D₄×C₈₉	1	24	yes	complemented
220	C₂×Q₈	C₂⁴×C₈₉	1	4	yes	—
221	C₂×D₄	—	2	24	no	—
222	C₂×D₄	—	2	12	no	—
223	C₂×D₄	—	2	16	no	—
224	C₂×D₄	—	2	16	no	—
225	C₂×D₄	—	2	24	no	—
226	C₂×D₄	—	4	48	no	—
227	C₂×D₄	—	4	24	no	—
228	C₂×D₄	—	4	48	no	—
229	C₂×D₄	C₂⁴×C₈₉	1	8	yes	—
230	C₂²×C₄	—	2	8	no	—
231	C₂²×C₄	—	2	4	no	—
232	C₂²×C₄	—	2	6	no	—
233	C₂²×C₄	—	2	6	no	—
234	C₂²×C₄	—	4	4	no	—
235	C₂²×C₄	SD₁₆×C₈₉	1	8	yes	complemented
236	C₂²×C₄	C₂×D₄×C₈₉	1	6	yes	—
237	C₂²×C₄	C₂×D₄×C₈₉	1	3	yes	—
238	C₂²×C₄	C₂×D₄×C₈₉	1	4	yes	—
239	C₂²×C₄	C₂×D₄×C₈₉	1	6	yes	—
240	C₂²×C₄	#41×C₈₉	1	4	yes	—
241	C₂²×C₄	C₂⁴×C₈₉	1	3	yes	—
242	SD₁₆	—	2	64	no	—
243	C₂×C₈	—	2	24	no	—
244	C₂×C₈	C₂⁴×C₈₉	1	8	yes	—
245	C₄⋊C₄	—	2	16	no	—
246	C₄⋊C₄	—	2	6	no	—
247	C₄⋊C₄	C₂⁴×C₈₉	1	4	yes	—
248	C₄²	—	2	16	no	—
249	C₄²	C₂×D₄×C₈₉	1	12	yes	—
250	C₄²	C₂⁴×C₈₉	1	4	yes	—
251	C₂³	—	2	8	no	—
252	C₂³	—	4	24	no	—
253	C₂³	—	4	24	no	—
254	C₂³	—	4	24	no	—
255	C₂³	—	8	32	no	—
256	C₂³	#121×C₈₉	1	4	yes	—
257	C₂³	C₂×SD₁₆×C₈₉	1	4	yes	—
258	C₂³	AGL(1,ℤ/8)×C₈₉	1	4	yes	—
259	C₂³	C₂²×D₄×C₈₉	1	3	yes	—
260	Q₈	—	2	24	no	—
261	Q₈	—	2	4	no	—
262	Q₈	C₂²×D₄×C₈₉	1	8	yes	complemented
263	D₄	—	2	8	no	—
264	D₄	—	2	8	no	—
265	D₄	—	4	32	no	—
266	D₄	—	4	24	no	—
267	D₄	—	4	32	no	—
268	C₂×C₄	—	2	24	no	—
269	C₂×C₄	—	2	12	no	—
270	C₂×C₄	—	2	4	no	—
271	C₂×C₄	—	2	4	no	—
272	C₂×C₄	—	4	12	no	—
273	C₂×C₄	#121×C₈₉	1	12	yes	—
274	C₂×C₄	C₂×SD₁₆×C₈₉	1	24	yes	complemented
275	C₂×C₄	C₂²×D₄×C₈₉	1	4	yes	—
276	C₂×C₄	C₂²×D₄×C₈₉	1	3	yes	—
277	C₂×C₄	C₂²×D₄×C₈₉	1	6	yes	—
278	C₂×C₄	C₂²×D₄×C₈₉	1	4	yes	—
279	C₂×C₄	C₂×#41×C₈₉	1	6	yes	—
280	C₂×C₄	C₂⁵×C₈₉	1	1	yes	characteristic
281	C₈	—	2	8	no	—
282	C₂²	—	4	8	no	—
283	C₂²	—	4	8	no	—
284	C₂²	—	4	8	no	—
285	C₂²	—	8	48	no	—
286	C₂²	#460×C₈₉	1	16	yes	direct product factor
287	C₂²	C₂×#121×C₈₉	1	6	yes	—
288	C₂²	C₂²×SD₁₆×C₈₉	1	6	yes	—
289	C₂²	C₂×AGL(1,ℤ/8)×C₈₉	1	6	yes	—
290	C₂²	C₂³×D₄×C₈₉	1	1	yes	characteristic
291	C₄	—	2	4	no	—
292	C₄	—	2	8	no	—
293	C₄	—	4	4	no	—
294	C₄	C₂×#121×C₈₉	1	6	yes	—
295	C₄	C₂²×SD₁₆×C₈₉	1	8	yes	complemented
296	C₄	C₂³×D₄×C₈₉	1	1	yes	characteristic
297	C₄	C₂²×#41×C₈₉	1	1	yes	characteristic
298	C₂	—	8	8	no	—
299	C₂	C₂×#460×C₈₉	1	12	yes	direct product factor
300	C₂	C₂²×#121×C₈₉	1	1	yes	characteristic
301	C₂	C₂³×SD₁₆×C₈₉	1	1	yes	characteristic
302	C₂	C₂²×AGL(1,ℤ/8)×C₈₉	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂⁴×C₈₉	C₂×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₈₉
prime radical	C₂²×#127×C₈₉	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂⁴×C₈₉ ◁ C₂²×C₄²×C₈₉ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂³×SD₁₆×C₈₉	C₂	semidirect
3. C₂²×C₄×Q₈×C₈₉	C₂	semidirect
4. C₂×#460×C₈₉	C₂	direct (N × H)
5. C₂²×C₄⋊C₈×C₈₉	C₂	semidirect
6. C₂²×#102×C₈₉	C₂	semidirect
12. C₂²×SD₁₆×C₈₉	C₂²	semidirect
17. C₂×C₄×Q₈×C₈₉	C₂²	semidirect
22. #460×C₈₉	C₂²	direct (N × H)
23. C₂×C₄⋊C₈×C₈₉	C₂²	semidirect
24. C₂×#102×C₈₉	C₂²	semidirect
28. C₂²×Q₈×C₈₉	D₄	semidirect
44. C₂×SD₁₆×C₈₉	C₂³	semidirect
50. C₄×Q₈×C₈₉	C₂³	semidirect
57. C₄⋊C₈×C₈₉	C₂³	semidirect
58. #102×C₈₉	C₂³	semidirect
67. C₂×Q₈×C₈₉	C₂×D₄	semidirect
83. C₂²×C₄×C₈₉	SD₁₆	semidirect
110. Q₈×C₈₉	C₂²×D₄	semidirect
122. C₂×C₄×C₈₉	C₂×SD₁₆	semidirect
134. C₂²×C₈₉	#460	direct (N × H)
143. C₄×C₈₉	C₂²×SD₁₆	semidirect
146. C₂²×#460	C₈₉	direct (N × H)
148. C₂×C₈₉	C₂×#460	direct (N × H)
152. C₂³×SD₁₆	C₂×C₈₉	semidirect
154. C₂²×C₄×Q₈	C₂×C₈₉	semidirect
155. C₂×#460	C₂×C₈₉	direct (N × H)
156. C₂²×C₄⋊C₈	C₂×C₈₉	semidirect
157. C₂²×#102	C₂×C₈₉	semidirect
158. C₈₉	C₂²×#460	direct (N × H)
164. C₂²×SD₁₆	C₂²×C₈₉	semidirect
169. C₂×C₄×Q₈	C₂²×C₈₉	semidirect
174. #460	C₂²×C₈₉	direct (N × H)
175. C₂×C₄⋊C₈	C₂²×C₈₉	semidirect
176. C₂×#102	C₂²×C₈₉	semidirect
180. C₂²×Q₈	D₄×C₈₉	semidirect
196. C₂×SD₁₆	C₂³×C₈₉	semidirect
202. C₄×Q₈	C₂³×C₈₉	semidirect
209. C₄⋊C₈	C₂³×C₈₉	semidirect
210. #102	C₂³×C₈₉	semidirect
219. C₂×Q₈	C₂×D₄×C₈₉	semidirect
235. C₂²×C₄	SD₁₆×C₈₉	semidirect
262. Q₈	C₂²×D₄×C₈₉	semidirect
274. C₂×C₄	C₂×SD₁₆×C₈₉	semidirect
286. C₂²	#460×C₈₉	direct (N × H)
295. C₄	C₂²×SD₁₆×C₈₉	semidirect
299. C₂	C₂×#460×C₈₉	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×SD₁₆×C₈₉	2
C₂²×#127×C₈₉	2
C₂²×C₄×Q₈×C₈₉	2
C₂×#460×C₈₉	2
C₂²×C₄⋊C₈×C₈₉	2
C₂²×#102×C₈₉	2
C₂²×#460	89

Subgroups — C22×#460×C89 #36438254

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#460×C₈₉ #36438254