Subgroups — C₂²×#540×C₈₃ #35290501

Order 21248.

8838 conjugacy classes of subgroups.

The subgroup lattice has 294 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#540×C₈₃	C₂	1	48	yes	maximal, direct product factor
2	C₂²×#127×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×#125×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×#123×C₈₃	C₂	1	4	yes	maximal, complemented
5	C₂²×#121×C₈₃	C₂	1	4	yes	maximal, complemented
6	C₂²×#121×C₈₃	C₂	1	2	yes	maximal, complemented
7	C₂²×C₄×D₄×C₈₃	C₂	1	2	yes	maximal, complemented
8	C₂²×#117×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂³×D₄×C₈₃	C₂²	1	2	yes	—
10	C₂³×D₄×C₈₃	C₂²	1	4	yes	—
11	C₂³×D₄×C₈₃	C₂²	1	4	yes	—
12	C₂⁴×C₄×C₈₃	C₂²	1	1	yes	characteristic
13	C₂⁴×C₄×C₈₃	C₂²	1	4	yes	—
14	#540×C₈₃	C₂²	1	256	yes	direct product factor
15	C₂×#127×C₈₃	C₂²	1	24	yes	complemented
16	C₂×#125×C₈₃	C₂²	1	24	yes	complemented
17	C₂×#123×C₈₃	C₂²	1	96	yes	complemented
18	C₂×#121×C₈₃	C₂²	1	96	yes	complemented
19	C₂×#121×C₈₃	C₂²	1	48	yes	complemented
20	C₂×C₄×D₄×C₈₃	C₂²	1	48	yes	complemented
21	C₂×#117×C₈₃	C₂²	1	24	yes	complemented
22	C₂²×C₄⋊C₄×C₈₃	C₂²	1	2	yes	—
23	C₂²×C₄⋊C₄×C₈₃	C₂²	1	2	yes	—
24	C₂²×C₄⋊C₄×C₈₃	C₂²	1	4	yes	—
25	C₂²×C₂²⋊C₄×C₈₃	C₂²	1	2	yes	—
26	C₂²×C₂²⋊C₄×C₈₃	C₂²	1	4	yes	—
27	C₂²×C₂²⋊C₄×C₈₃	C₂²	1	4	yes	—
28	C₂²×C₄²×C₈₃	C₂²	1	1	yes	characteristic
29	C₂²×C₄²×C₈₃	C₂²	1	1	yes	characteristic
30	C₂⁵×C₈₃	C₂³	1	1	yes	characteristic
31	C₂⁵×C₈₃	C₂³	1	4	yes	—
32	C₂²×D₄×C₈₃	—	2	16	no	—
33	C₂²×D₄×C₈₃	—	4	16	no	—
34	C₂²×D₄×C₈₃	—	4	16	no	—
35	C₂²×D₄×C₈₃	C₂³	1	24	yes	—
36	C₂²×D₄×C₈₃	C₂³	1	48	yes	—
37	C₂²×D₄×C₈₃	C₂³	1	48	yes	—
38	C₂³×C₄×C₈₃	—	2	8	no	—
39	C₂³×C₄×C₈₃	—	4	16	no	—
40	C₂³×C₄×C₈₃	C₂³	1	12	yes	—
41	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
42	C₂³×C₄×C₈₃	C₂³	1	2	yes	—
43	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
44	C₂³×C₄×C₈₃	C₂³	1	4	yes	—
45	C₂³×C₄×C₈₃	C₂³	1	48	yes	—
46	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
47	#127×C₈₃	C₂³	1	64	yes	complemented
48	#125×C₈₃	C₂³	1	64	yes	complemented
49	#123×C₈₃	C₂³	1	256	yes	complemented
50	#121×C₈₃	C₂³	1	256	yes	complemented
51	#121×C₈₃	C₂³	1	128	yes	complemented
52	C₄×D₄×C₈₃	C₂³	1	128	yes	complemented
53	#117×C₈₃	C₂³	1	64	yes	complemented
54	C₂×C₄⋊C₄×C₈₃	C₂³	1	24	yes	—
55	C₂×C₄⋊C₄×C₈₃	C₂³	1	24	yes	—
56	C₂×C₄⋊C₄×C₈₃	C₂³	1	48	yes	—
57	C₂×C₂²⋊C₄×C₈₃	C₂³	1	24	yes	—
58	C₂×C₂²⋊C₄×C₈₃	C₂³	1	48	yes	—
59	C₂×C₂²⋊C₄×C₈₃	C₂³	1	48	yes	—
60	C₂×C₄²×C₈₃	C₂³	1	12	yes	—
61	C₂×C₄²×C₈₃	C₂³	1	12	yes	—
62	C₂⁴×C₈₃	—	2	4	no	—
63	C₂⁴×C₈₃	—	2	16	no	—
64	C₂⁴×C₈₃	—	2	16	no	—
65	C₂⁴×C₈₃	—	2	8	no	—
66	C₂⁴×C₈₃	—	2	16	no	—
67	C₂⁴×C₈₃	C₂⁴	1	6	yes	—
68	C₂⁴×C₈₃	C₂⁴	1	24	yes	—
69	C₂⁴×C₈₃	C₂⁴	1	1	yes	characteristic
70	C₂×D₄×C₈₃	—	2	96	no	—
71	C₂×D₄×C₈₃	—	4	96	no	—
72	C₂×D₄×C₈₃	—	4	96	no	—
73	C₂×D₄×C₈₃	C₂⁴	1	32	yes	—
74	C₂×D₄×C₈₃	C₂⁴	1	64	yes	—
75	C₂×D₄×C₈₃	C₂⁴	1	64	yes	—
76	C₂²×C₄×C₈₃	—	2	4	no	—
77	C₂²×C₄×C₈₃	—	2	8	no	—
78	C₂²×C₄×C₈₃	—	2	16	no	—
79	C₂²×C₄×C₈₃	—	2	8	no	—
80	C₂²×C₄×C₈₃	—	2	48	no	—
81	C₂²×C₄×C₈₃	—	4	96	no	—
82	C₂²×C₄×C₈₃	#41	1	8	yes	—
83	C₂²×C₄×C₈₃	C₂⁴	1	12	yes	—
84	C₂²×C₄×C₈₃	C₂⁴	1	12	yes	—
85	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
86	C₂²×C₄×C₈₃	C₂⁴	1	24	yes	—
87	C₂²×C₄×C₈₃	C₂⁴	1	16	yes	—
88	C₂²×C₄×C₈₃	C₂⁴	1	64	yes	—
89	C₂²×C₄×C₈₃	C₂⁴	1	6	yes	—
90	C₄⋊C₄×C₈₃	C₂⁴	1	32	yes	—
91	C₄⋊C₄×C₈₃	C₂⁴	1	32	yes	—
92	C₄⋊C₄×C₈₃	C₂⁴	1	64	yes	—
93	C₂²⋊C₄×C₈₃	C₂⁴	1	32	yes	—
94	C₂²⋊C₄×C₈₃	C₂⁴	1	64	yes	—
95	C₂²⋊C₄×C₈₃	C₂⁴	1	64	yes	—
96	C₄²×C₈₃	C₂⁴	1	16	yes	—
97	C₄²×C₈₃	C₂⁴	1	16	yes	—
98	C₂³×C₈₃	—	2	12	no	—
99	C₂³×C₈₃	—	2	48	no	—
100	C₂³×C₈₃	—	2	48	no	—
101	C₂³×C₈₃	—	2	24	no	—
102	C₂³×C₈₃	—	2	48	no	—
103	C₂³×C₈₃	—	4	16	no	—
104	C₂³×C₈₃	—	4	64	no	—
105	C₂³×C₈₃	C₂×#41	1	4	yes	—
106	C₂³×C₈₃	H(5,𝔽₂)	1	8	yes	—
107	C₂³×C₈₃	C₂⁵	1	4	yes	—
108	C₂³×C₈₃	C₂⁵	1	16	yes	—
109	C₂³×C₈₃	C₂⁵	1	3	yes	—
110	D₄×C₈₃	—	2	64	no	—
111	D₄×C₈₃	—	4	64	no	—
112	D₄×C₈₃	—	4	64	no	—
113	C₂×C₄×C₈₃	—	2	12	no	—
114	C₂×C₄×C₈₃	—	2	24	no	—
115	C₂×C₄×C₈₃	—	2	48	no	—
116	C₂×C₄×C₈₃	—	2	24	no	—
117	C₂×C₄×C₈₃	—	2	32	no	—
118	C₂×C₄×C₈₃	—	4	64	no	—
119	C₂×C₄×C₈₃	C₂×#41	1	24	yes	—
120	C₂×C₄×C₈₃	C₂⁵	1	8	yes	—
121	C₂×C₄×C₈₃	C₂⁵	1	8	yes	—
122	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
123	C₂×C₄×C₈₃	C₂⁵	1	16	yes	—
124	C₂×C₄×C₈₃	C₂⁵	1	4	yes	—
125	C₂²×C₈₃	—	2	4	no	—
126	C₂²×C₈₃	—	2	16	no	—
127	C₂²×C₈₃	—	2	16	no	—
128	C₂²×C₈₃	—	2	8	no	—
129	C₂²×C₈₃	—	2	16	no	—
130	C₂²×C₈₃	—	4	24	no	—
131	C₂²×C₈₃	—	4	96	no	—
132	C₂²×C₈₃	#540	1	16	yes	direct product factor
133	C₂²×C₈₃	C₂²×#41	1	6	yes	—
134	C₂²×C₈₃	C₂×H(5,𝔽₂)	1	12	yes	—
135	C₂²×C₈₃	C₂⁶	1	1	yes	characteristic
136	C₄×C₈₃	—	2	4	no	—
137	C₄×C₈₃	—	2	8	no	—
138	C₄×C₈₃	—	2	16	no	—
139	C₄×C₈₃	—	2	8	no	—
140	C₄×C₈₃	C₂²×#41	1	8	yes	—
141	C₂²×#540	C₈₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
142	C₂×C₈₃	—	4	4	no	—
143	C₂×C₈₃	—	4	16	no	—
144	C₂×C₈₃	C₂×#540	1	12	yes	direct product factor
145	C₂×C₈₃	C₂³×#41	1	1	yes	characteristic
146	C₂×C₈₃	C₂²×H(5,𝔽₂)	1	2	yes	—
147	C₂×#540	C₂×C₈₃	1	48	yes	direct product factor
148	C₂²×#127	C₂×C₈₃	1	1	yes	characteristic, complemented
149	C₂²×#125	C₂×C₈₃	1	1	yes	characteristic, complemented
150	C₂²×#123	C₂×C₈₃	1	4	yes	complemented
151	C₂²×#121	C₂×C₈₃	1	4	yes	complemented
152	C₂²×#121	C₂×C₈₃	1	2	yes	complemented
153	C₂²×C₄×D₄	C₂×C₈₃	1	2	yes	complemented
154	C₂²×#117	C₂×C₈₃	1	1	yes	characteristic, complemented
155	C₈₃	C₂²×#540	1	1	yes	characteristic, direct product factor, Sylow
156	C₂³×D₄	C₂²×C₈₃	1	2	yes	—
157	C₂³×D₄	C₂²×C₈₃	1	4	yes	—
158	C₂³×D₄	C₂²×C₈₃	1	4	yes	—
159	C₂⁴×C₄	C₂²×C₈₃	1	1	yes	characteristic
160	C₂⁴×C₄	C₂²×C₈₃	1	4	yes	—
161	#540	C₂²×C₈₃	1	256	yes	direct product factor
162	C₂×#127	C₂²×C₈₃	1	24	yes	complemented
163	C₂×#125	C₂²×C₈₃	1	24	yes	complemented
164	C₂×#123	C₂²×C₈₃	1	96	yes	complemented
165	C₂×#121	C₂²×C₈₃	1	96	yes	complemented
166	C₂×#121	C₂²×C₈₃	1	48	yes	complemented
167	C₂×C₄×D₄	C₂²×C₈₃	1	48	yes	complemented
168	C₂×#117	C₂²×C₈₃	1	24	yes	complemented
169	C₂²×C₄⋊C₄	C₂²×C₈₃	1	2	yes	—
170	C₂²×C₄⋊C₄	C₂²×C₈₃	1	2	yes	—
171	C₂²×C₄⋊C₄	C₂²×C₈₃	1	4	yes	—
172	C₂²×C₂²⋊C₄	C₂²×C₈₃	1	2	yes	—
173	C₂²×C₂²⋊C₄	C₂²×C₈₃	1	4	yes	—
174	C₂²×C₂²⋊C₄	C₂²×C₈₃	1	4	yes	—
175	C₂²×C₄²	C₂²×C₈₃	1	1	yes	characteristic
176	C₂²×C₄²	C₂²×C₈₃	1	1	yes	characteristic
177	C₂⁵	C₂³×C₈₃	1	1	yes	characteristic
178	C₂⁵	C₂³×C₈₃	1	4	yes	—
179	C₂²×D₄	—	2	16	no	—
180	C₂²×D₄	—	4	16	no	—
181	C₂²×D₄	—	4	16	no	—
182	C₂²×D₄	C₂³×C₈₃	1	24	yes	—
183	C₂²×D₄	C₂³×C₈₃	1	48	yes	—
184	C₂²×D₄	C₂³×C₈₃	1	48	yes	—
185	C₂³×C₄	—	2	8	no	—
186	C₂³×C₄	—	4	16	no	—
187	C₂³×C₄	C₂³×C₈₃	1	1	yes	characteristic
188	C₂³×C₄	C₂³×C₈₃	1	2	yes	—
189	C₂³×C₄	C₂³×C₈₃	1	4	yes	—
190	C₂³×C₄	C₂³×C₈₃	1	2	yes	—
191	C₂³×C₄	C₂³×C₈₃	1	12	yes	—
192	C₂³×C₄	C₂³×C₈₃	1	48	yes	—
193	C₂³×C₄	C₂³×C₈₃	1	1	yes	characteristic
194	#127	C₂³×C₈₃	1	64	yes	complemented
195	#125	C₂³×C₈₃	1	64	yes	complemented
196	#123	C₂³×C₈₃	1	256	yes	complemented
197	#121	C₂³×C₈₃	1	256	yes	complemented
198	#121	C₂³×C₈₃	1	128	yes	complemented
199	C₄×D₄	C₂³×C₈₃	1	128	yes	complemented
200	#117	C₂³×C₈₃	1	64	yes	complemented
201	C₂×C₄⋊C₄	C₂³×C₈₃	1	24	yes	—
202	C₂×C₄⋊C₄	C₂³×C₈₃	1	24	yes	—
203	C₂×C₄⋊C₄	C₂³×C₈₃	1	48	yes	—
204	C₂×C₂²⋊C₄	C₂³×C₈₃	1	24	yes	—
205	C₂×C₂²⋊C₄	C₂³×C₈₃	1	48	yes	—
206	C₂×C₂²⋊C₄	C₂³×C₈₃	1	48	yes	—
207	C₂×C₄²	C₂³×C₈₃	1	12	yes	—
208	C₂×C₄²	C₂³×C₈₃	1	12	yes	—
209	C₂⁴	—	2	4	no	—
210	C₂⁴	—	2	16	no	—
211	C₂⁴	—	2	16	no	—
212	C₂⁴	—	2	8	no	—
213	C₂⁴	—	2	16	no	—
214	C₂⁴	C₂⁴×C₈₃	1	6	yes	—
215	C₂⁴	C₂⁴×C₈₃	1	24	yes	—
216	C₂⁴	C₂⁴×C₈₃	1	1	yes	characteristic
217	C₂×D₄	—	2	96	no	—
218	C₂×D₄	—	4	96	no	—
219	C₂×D₄	—	4	96	no	—
220	C₂×D₄	C₂⁴×C₈₃	1	32	yes	—
221	C₂×D₄	C₂⁴×C₈₃	1	64	yes	—
222	C₂×D₄	C₂⁴×C₈₃	1	64	yes	—
223	C₂²×C₄	—	2	4	no	—
224	C₂²×C₄	—	2	8	no	—
225	C₂²×C₄	—	2	16	no	—
226	C₂²×C₄	—	2	8	no	—
227	C₂²×C₄	—	2	48	no	—
228	C₂²×C₄	—	4	96	no	—
229	C₂²×C₄	#41×C₈₃	1	8	yes	—
230	C₂²×C₄	C₂⁴×C₈₃	1	12	yes	—
231	C₂²×C₄	C₂⁴×C₈₃	1	12	yes	—
232	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
233	C₂²×C₄	C₂⁴×C₈₃	1	24	yes	—
234	C₂²×C₄	C₂⁴×C₈₃	1	16	yes	—
235	C₂²×C₄	C₂⁴×C₈₃	1	64	yes	—
236	C₂²×C₄	C₂⁴×C₈₃	1	6	yes	—
237	C₄⋊C₄	C₂⁴×C₈₃	1	32	yes	—
238	C₄⋊C₄	C₂⁴×C₈₃	1	32	yes	—
239	C₄⋊C₄	C₂⁴×C₈₃	1	64	yes	—
240	C₂²⋊C₄	C₂⁴×C₈₃	1	32	yes	—
241	C₂²⋊C₄	C₂⁴×C₈₃	1	64	yes	—
242	C₂²⋊C₄	C₂⁴×C₈₃	1	64	yes	—
243	C₄²	C₂⁴×C₈₃	1	16	yes	—
244	C₄²	C₂⁴×C₈₃	1	16	yes	—
245	C₂³	—	2	12	no	—
246	C₂³	—	2	48	no	—
247	C₂³	—	2	48	no	—
248	C₂³	—	2	24	no	—
249	C₂³	—	2	48	no	—
250	C₂³	—	4	16	no	—
251	C₂³	—	4	64	no	—
252	C₂³	C₂×#41×C₈₃	1	4	yes	—
253	C₂³	H(5,𝔽₂)×C₈₃	1	8	yes	—
254	C₂³	C₂⁵×C₈₃	1	4	yes	—
255	C₂³	C₂⁵×C₈₃	1	16	yes	—
256	C₂³	C₂⁵×C₈₃	1	3	yes	—
257	D₄	—	2	64	no	—
258	D₄	—	4	64	no	—
259	D₄	—	4	64	no	—
260	C₂×C₄	—	2	12	no	—
261	C₂×C₄	—	2	24	no	—
262	C₂×C₄	—	2	48	no	—
263	C₂×C₄	—	2	24	no	—
264	C₂×C₄	—	2	32	no	—
265	C₂×C₄	—	4	64	no	—
266	C₂×C₄	C₂×#41×C₈₃	1	24	yes	—
267	C₂×C₄	C₂⁵×C₈₃	1	8	yes	—
268	C₂×C₄	C₂⁵×C₈₃	1	8	yes	—
269	C₂×C₄	C₂⁵×C₈₃	1	4	yes	—
270	C₂×C₄	C₂⁵×C₈₃	1	16	yes	—
271	C₂×C₄	C₂⁵×C₈₃	1	4	yes	—
272	C₂²	—	2	4	no	—
273	C₂²	—	2	16	no	—
274	C₂²	—	2	16	no	—
275	C₂²	—	2	8	no	—
276	C₂²	—	2	16	no	—
277	C₂²	—	4	24	no	—
278	C₂²	—	4	96	no	—
279	C₂²	#540×C₈₃	1	16	yes	direct product factor
280	C₂²	C₂²×#41×C₈₃	1	6	yes	—
281	C₂²	C₂×H(5,𝔽₂)×C₈₃	1	12	yes	—
282	C₂²	C₂⁶×C₈₃	1	1	yes	characteristic
283	C₄	—	2	4	no	—
284	C₄	—	2	8	no	—
285	C₄	—	2	16	no	—
286	C₄	—	2	8	no	—
287	C₄	C₂²×#41×C₈₃	1	8	yes	—
288	C₂	—	4	4	no	—
289	C₂	—	4	16	no	—
290	C₂	C₂×#540×C₈₃	1	12	yes	direct product factor
291	C₂	C₂³×#41×C₈₃	1	1	yes	characteristic
292	C₂	C₂²×H(5,𝔽₂)×C₈₃	1	2	yes	—

	subgroup	G/H
center, socle	C₂⁴×C₈₃	C₂⁴
commutator, Frattini, cosocle	C₂²	C₂⁶×C₈₃
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂⁴×C₈₃ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×#540×C₈₃	C₂	direct (N × H)
2. C₂²×#127×C₈₃	C₂	semidirect
3. C₂²×#125×C₈₃	C₂	semidirect
4. C₂²×#123×C₈₃	C₂	semidirect
5. C₂²×#121×C₈₃	C₂	semidirect
6. C₂²×#121×C₈₃	C₂	semidirect
7. C₂²×C₄×D₄×C₈₃	C₂	semidirect
8. C₂²×#117×C₈₃	C₂	semidirect
14. #540×C₈₃	C₂²	direct (N × H)
15. C₂×#127×C₈₃	C₂²	semidirect
16. C₂×#125×C₈₃	C₂²	semidirect
17. C₂×#123×C₈₃	C₂²	semidirect
18. C₂×#121×C₈₃	C₂²	semidirect
19. C₂×#121×C₈₃	C₂²	semidirect
20. C₂×C₄×D₄×C₈₃	C₂²	semidirect
21. C₂×#117×C₈₃	C₂²	semidirect
47. #127×C₈₃	C₂³	semidirect
48. #125×C₈₃	C₂³	semidirect
49. #123×C₈₃	C₂³	semidirect
50. #121×C₈₃	C₂³	semidirect
51. #121×C₈₃	C₂³	semidirect
52. C₄×D₄×C₈₃	C₂³	semidirect
53. #117×C₈₃	C₂³	semidirect
132. C₂²×C₈₃	#540	direct (N × H)
141. C₂²×#540	C₈₃	direct (N × H)
144. C₂×C₈₃	C₂×#540	direct (N × H)
147. C₂×#540	C₂×C₈₃	direct (N × H)
148. C₂²×#127	C₂×C₈₃	semidirect
149. C₂²×#125	C₂×C₈₃	semidirect
150. C₂²×#123	C₂×C₈₃	semidirect
151. C₂²×#121	C₂×C₈₃	semidirect
152. C₂²×#121	C₂×C₈₃	semidirect
153. C₂²×C₄×D₄	C₂×C₈₃	semidirect
154. C₂²×#117	C₂×C₈₃	semidirect
155. C₈₃	C₂²×#540	direct (N × H)
161. #540	C₂²×C₈₃	direct (N × H)
162. C₂×#127	C₂²×C₈₃	semidirect
163. C₂×#125	C₂²×C₈₃	semidirect
164. C₂×#123	C₂²×C₈₃	semidirect
165. C₂×#121	C₂²×C₈₃	semidirect
166. C₂×#121	C₂²×C₈₃	semidirect
167. C₂×C₄×D₄	C₂²×C₈₃	semidirect
168. C₂×#117	C₂²×C₈₃	semidirect
194. #127	C₂³×C₈₃	semidirect
195. #125	C₂³×C₈₃	semidirect
196. #123	C₂³×C₈₃	semidirect
197. #121	C₂³×C₈₃	semidirect
198. #121	C₂³×C₈₃	semidirect
199. C₄×D₄	C₂³×C₈₃	semidirect
200. #117	C₂³×C₈₃	semidirect
279. C₂²	#540×C₈₃	direct (N × H)
290. C₂	C₂×#540×C₈₃	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×#540×C₈₃	2
C₂²×#127×C₈₃	2
C₂²×#125×C₈₃	2
C₂²×#123×C₈₃	2
C₂²×#121×C₈₃	2
C₂²×C₄×D₄×C₈₃	2
C₂²×#117×C₈₃	2
C₂²×#540	83

Subgroups — C22×#540×C83 #35290501

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×#540×C₈₃ #35290501