Subgroups — C₅×#10834 #11933554

Order 1280.

1062 conjugacy classes of subgroups.

The subgroup lattice has 346 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₄×C₅×C₈	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
4	C₂×C₅×#336	C₂	1	4	yes	maximal
5	C₂³×C₅×C₈	C₂²	1	2	yes	—
6	C₂³×C₅×C₈	C₂²	1	2	yes	—
7	C₂²×C₅×C₄⋊C₄	C₄	1	2	yes	—
8	C₂²×C₄²×C₅	C₂²	1	2	yes	—
9	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
10	C₂×C₅×C₄⋊C₈	—	2	2	no	—
11	C₂×C₅×C₄⋊C₈	—	2	2	no	—
12	C₂×C₅×C₄⋊C₈	C₄	1	4	yes	complemented
13	C₂×C₄×C₅×C₈	—	2	2	no	—
14	C₂×C₄×C₅×C₈	—	2	2	no	—
15	C₂×C₄×C₅×C₈	C₄	1	4	yes	complemented
16	C₄×C₅×C₄⋊C₄	—	2	2	no	—
17	C₄×C₅×C₄⋊C₄	—	2	2	no	—
18	C₂×C₅×#95	C₄	1	2	yes	—
19	C₅×#336	—	2	8	no	—
20	#10834	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
21	C₂³×C₄×C₅	C₂×C₄	1	4	yes	—
22	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
23	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
24	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
25	C₂²×C₅×C₈	—	2	2	no	—
26	C₂²×C₅×C₈	—	2	2	no	—
27	C₂²×C₅×C₈	—	2	2	no	—
28	C₂²×C₅×C₈	—	2	2	no	—
29	C₂²×C₅×C₈	—	2	4	no	—
30	C₂²×C₅×C₈	—	2	2	no	—
31	C₂²×C₅×C₈	—	2	2	no	—
32	C₂²×C₅×C₈	—	2	4	no	—
33	C₂²×C₅×C₈	C₂×C₄	1	4	yes	—
34	C₂²×C₅×C₈	C₂×C₄	1	4	yes	—
35	C₂²×C₅×C₈	D₄	1	4	yes	—
36	C₂²×C₅×C₈	Q₈	1	4	yes	—
37	C₂×C₅×C₄⋊C₄	—	2	4	no	—
38	C₂×C₅×C₄⋊C₄	—	2	4	no	—
39	C₂×C₅×C₄⋊C₄	C₈	1	8	yes	complemented
40	C₂×C₄²×C₅	—	2	2	no	—
41	C₂×C₄²×C₅	—	2	2	no	—
42	C₂×C₄²×C₅	—	2	4	no	—
43	C₂×C₄²×C₅	—	2	4	no	—
44	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
46	C₂×C₄²×C₅	D₄	1	2	yes	—
47	C₂×C₄²×C₅	D₄	1	2	yes	—
48	C₂×C₄²×C₅	D₄	1	2	yes	—
49	C₂×C₄²×C₅	Q₈	1	2	yes	—
50	C₅×C₄⋊C₈	—	2	8	no	—
51	C₄×C₅×C₈	—	2	8	no	—
52	C₅×#95	—	2	4	no	—
53	C₂²×C₄⋊C₈	C₂×C₅	1	1	yes	characteristic
54	C₂²×C₄×C₈	C₂×C₅	1	1	yes	characteristic
55	C₂×C₄×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic
56	C₂×#336	C₂×C₅	1	4	yes	—
57	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
58	C₂²×C₄×C₅	—	2	4	no	—
59	C₂²×C₄×C₅	—	2	4	no	—
60	C₂²×C₄×C₅	—	2	8	no	—
61	C₂²×C₄×C₅	—	2	4	no	—
62	C₂²×C₄×C₅	—	2	8	no	—
63	C₂²×C₄×C₅	C₄²	1	2	yes	—
64	C₂²×C₄×C₅	C₄²	1	2	yes	—
65	C₂²×C₄×C₅	C₂²⋊C₄	1	2	yes	—
66	C₂²×C₄×C₅	C₂²⋊C₄	1	2	yes	—
67	C₂²×C₄×C₅	C₄⋊C₄	1	2	yes	—
68	C₂²×C₄×C₅	C₄⋊C₄	1	2	yes	—
69	C₂²×C₄×C₅	C₂×C₈	1	8	yes	—
70	C₂²×C₄×C₅	C₂×C₈	1	4	yes	—
71	C₂²×C₄×C₅	M₁₆	1	4	yes	—
72	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
75	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
76	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
77	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
78	C₂²×C₄×C₅	C₂×Q₈	1	1	yes	characteristic
79	C₂²×C₄×C₅	C₂×Q₈	1	2	yes	—
80	C₂²×C₄×C₅	#41	1	2	yes	—
81	C₂²×C₄×C₅	#41	1	2	yes	—
82	C₂×C₅×C₈	—	2	4	no	—
83	C₂×C₅×C₈	—	2	4	no	—
84	C₂×C₅×C₈	—	2	4	no	—
85	C₂×C₅×C₈	—	2	4	no	—
86	C₂×C₅×C₈	—	2	4	no	—
87	C₂×C₅×C₈	—	2	4	no	—
88	C₂×C₅×C₈	—	2	4	no	—
89	C₂×C₅×C₈	—	2	8	no	—
90	C₂×C₅×C₈	—	4	4	no	—
91	C₂×C₅×C₈	—	4	2	no	—
92	C₂×C₅×C₈	—	4	2	no	—
93	C₂×C₅×C₈	C₄⋊C₄	1	8	yes	complemented
94	C₅×C₄⋊C₄	—	2	16	no	—
95	C₄²×C₅	—	4	4	no	—
96	C₄²×C₅	—	4	2	no	—
97	C₄²×C₅	—	4	2	no	—
98	C₄²×C₅	C₂²⋊C₄	1	4	yes	—
99	C₄²×C₅	C₂²⋊C₄	1	4	yes	—
100	C₄²×C₅	C₄⋊C₄	1	4	yes	—
101	C₄²×C₅	C₄⋊C₄	1	4	yes	—
102	C₂³×C₈	C₂²×C₅	1	2	yes	—
103	C₂³×C₈	C₂²×C₅	1	2	yes	—
104	C₂²×C₄⋊C₄	C₄×C₅	1	2	yes	—
105	C₂²×C₄²	C₂²×C₅	1	2	yes	—
106	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
107	C₂×C₄⋊C₈	—	2	2	no	—
108	C₂×C₄⋊C₈	—	2	2	no	—
109	C₂×C₄⋊C₈	C₄×C₅	1	4	yes	complemented
110	C₂×C₄×C₈	—	2	2	no	—
111	C₂×C₄×C₈	—	2	2	no	—
112	C₂×C₄×C₈	C₄×C₅	1	4	yes	complemented
113	C₄×C₄⋊C₄	—	2	2	no	—
114	C₄×C₄⋊C₄	—	2	2	no	—
115	C₂×#95	C₄×C₅	1	2	yes	—
116	#336	—	2	8	no	—
117	C₂³×C₅	C₂×C₄²	1	1	yes	characteristic
118	C₂³×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
119	C₂³×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
120	C₂³×C₅	C₄×D₄	1	2	yes	—
121	C₂³×C₅	C₄×Q₈	1	2	yes	—
122	C₂³×C₅	C₂²×C₈	1	2	yes	—
123	C₂³×C₅	C₂×M₁₆	1	2	yes	—
124	C₂³×C₅	#131	1	4	yes	—
125	C₂×C₄×C₅	—	2	4	no	—
126	C₂×C₄×C₅	—	2	4	no	—
127	C₂×C₄×C₅	—	2	4	no	—
128	C₂×C₄×C₅	—	2	8	no	—
129	C₂×C₄×C₅	—	2	16	no	—
130	C₂×C₄×C₅	—	4	4	no	—
131	C₂×C₄×C₅	—	4	4	no	—
132	C₂×C₄×C₅	—	4	8	no	—
133	C₂×C₄×C₅	#95	1	4	yes	—
134	C₂×C₄×C₅	#95	1	4	yes	—
135	C₂×C₄×C₅	C₄×C₈	1	4	yes	—
136	C₂×C₄×C₅	#97	1	4	yes	—
137	C₂×C₄×C₅	C₂²⋊C₈	1	8	yes	—
138	C₂×C₄×C₅	C₄⋊C₈	1	8	yes	—
139	C₂×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
140	C₂×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
141	C₂×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
142	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
143	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
144	C₂×C₄×C₅	#117	1	2	yes	—
145	C₂×C₄×C₅	C₄×D₄	1	2	yes	—
146	C₂×C₄×C₅	C₄×Q₈	1	2	yes	—
147	C₂×C₄×C₅	#121	1	2	yes	—
148	C₂×C₄×C₅	#121	1	2	yes	—
149	C₂×C₄×C₅	C₂²⋊Q₈	1	2	yes	—
150	C₂×C₄×C₅	C₂²⋊Q₈	1	2	yes	—
151	C₂×C₄×C₅	#124	1	1	yes	characteristic
152	C₂×C₄×C₅	#124	1	1	yes	characteristic
153	C₂×C₄×C₅	#125	1	2	yes	—
154	C₂×C₄×C₅	#127	1	1	yes	characteristic
155	C₂×C₄×C₅	C₄⋊Q₈	1	2	yes	—
156	C₂×C₄×C₅	C₄⋊Q₈	1	1	yes	characteristic
157	C₅×C₈	—	2	8	no	—
158	C₅×C₈	—	4	4	no	—
159	C₂³×C₄	C₂×C₄×C₅	1	4	yes	—
160	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
161	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
162	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
163	C₂²×C₈	—	2	2	no	—
164	C₂²×C₈	—	2	2	no	—
165	C₂²×C₈	—	2	2	no	—
166	C₂²×C₈	—	2	2	no	—
167	C₂²×C₈	—	2	4	no	—
168	C₂²×C₈	—	2	2	no	—
169	C₂²×C₈	—	2	2	no	—
170	C₂²×C₈	—	2	4	no	—
171	C₂²×C₈	C₂×C₄×C₅	1	4	yes	—
172	C₂²×C₈	C₂×C₄×C₅	1	4	yes	—
173	C₂²×C₈	C₅×D₄	1	4	yes	—
174	C₂²×C₈	C₅×Q₈	1	4	yes	—
175	C₂×C₄⋊C₄	—	2	4	no	—
176	C₂×C₄⋊C₄	—	2	4	no	—
177	C₂×C₄⋊C₄	C₅×C₈	1	8	yes	complemented
178	C₂×C₄²	—	2	4	no	—
179	C₂×C₄²	—	2	2	no	—
180	C₂×C₄²	—	2	2	no	—
181	C₂×C₄²	—	2	4	no	—
182	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
183	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
184	C₂×C₄²	C₅×D₄	1	2	yes	—
185	C₂×C₄²	C₅×D₄	1	2	yes	—
186	C₂×C₄²	C₅×D₄	1	2	yes	—
187	C₂×C₄²	C₅×Q₈	1	2	yes	—
188	C₄⋊C₈	—	2	8	no	—
189	C₄×C₈	—	2	8	no	—
190	#95	—	2	4	no	—
191	C₂²×C₅	C₂×#95	1	1	yes	characteristic
192	C₂²×C₅	C₄×C₄⋊C₄	1	2	yes	—
193	C₂²×C₅	#389	1	2	yes	—
194	C₂²×C₅	#390	1	1	yes	characteristic
195	C₂²×C₅	#391	1	1	yes	characteristic
196	C₂²×C₅	C₂×C₄×C₈	1	1	yes	characteristic
197	C₂²×C₅	C₂×#97	1	1	yes	characteristic
198	C₂²×C₅	#405	1	2	yes	—
199	C₂²×C₅	C₂×C₂²⋊C₈	1	2	yes	—
200	C₂²×C₅	#408	1	2	yes	—
201	C₂²×C₅	C₂×C₄⋊C₈	1	2	yes	—
202	C₂²×C₅	#424	1	2	yes	—
203	C₂²×C₅	C₈×D₄	1	4	yes	—
204	C₂²×C₅	#436	1	4	yes	—
205	C₂²×C₅	C₈×Q₈	1	4	yes	—
206	C₂²×C₅	#446	1	4	yes	—
207	C₄×C₅	—	2	4	no	—
208	C₄×C₅	—	4	8	no	—
209	C₄×C₅	#336	1	8	yes	complemented
210	C₄×C₅	#380	1	2	yes	—
211	C₄×C₅	#382	1	1	yes	characteristic
212	C₄×C₅	#384	1	1	yes	characteristic
213	C₄×C₅	#389	1	2	yes	—
214	C₄×C₅	#390	1	1	yes	characteristic
215	C₄×C₅	#391	1	1	yes	characteristic
216	C₂⁴	C₂²×C₄×C₅	1	1	yes	characteristic
217	C₂²×C₄	—	2	4	no	—
218	C₂²×C₄	—	2	4	no	—
219	C₂²×C₄	—	2	8	no	—
220	C₂²×C₄	—	2	4	no	—
221	C₂²×C₄	—	2	8	no	—
222	C₂²×C₄	C₄²×C₅	1	2	yes	—
223	C₂²×C₄	C₄²×C₅	1	2	yes	—
224	C₂²×C₄	C₅×C₂²⋊C₄	1	2	yes	—
225	C₂²×C₄	C₅×C₂²⋊C₄	1	2	yes	—
226	C₂²×C₄	C₅×C₄⋊C₄	1	2	yes	—
227	C₂²×C₄	C₅×C₄⋊C₄	1	2	yes	—
228	C₂²×C₄	C₂×C₅×C₈	1	8	yes	—
229	C₂²×C₄	C₂×C₅×C₈	1	4	yes	—
230	C₂²×C₄	C₅×M₁₆	1	4	yes	—
231	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
232	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
233	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
234	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
235	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
236	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
237	C₂²×C₄	C₂×C₅×Q₈	1	1	yes	characteristic
238	C₂²×C₄	C₂×C₅×Q₈	1	2	yes	—
239	C₂²×C₄	C₅×#41	1	2	yes	—
240	C₂²×C₄	C₅×#41	1	2	yes	—
241	C₂×C₈	—	2	4	no	—
242	C₂×C₈	—	2	4	no	—
243	C₂×C₈	—	2	4	no	—
244	C₂×C₈	—	2	4	no	—
245	C₂×C₈	—	2	4	no	—
246	C₂×C₈	—	2	4	no	—
247	C₂×C₈	—	2	4	no	—
248	C₂×C₈	—	2	8	no	—
249	C₂×C₈	—	4	4	no	—
250	C₂×C₈	—	4	2	no	—
251	C₂×C₈	—	4	2	no	—
252	C₂×C₈	C₅×C₄⋊C₄	1	8	yes	complemented
253	C₄⋊C₄	—	2	16	no	—
254	C₄²	—	4	4	no	—
255	C₄²	—	4	2	no	—
256	C₄²	—	4	2	no	—
257	C₄²	C₅×C₂²⋊C₄	1	4	yes	—
258	C₄²	C₅×C₂²⋊C₄	1	4	yes	—
259	C₄²	C₅×C₄⋊C₄	1	4	yes	—
260	C₄²	C₅×C₄⋊C₄	1	4	yes	—
261	C₂×C₅	C₄⋊#95	1	1	yes	characteristic
262	C₂×C₅	C₂×#336	1	1	yes	characteristic
263	C₂×C₅	#1729	1	1	yes	characteristic
264	C₂×C₅	C₈×C₄⋊C₄	1	2	yes	—
265	C₂×C₅	#1770	1	2	yes	—
266	C₂×C₅	#1939	1	4	yes	—
267	C₂×C₅	#1954	1	2	yes	—
268	C₂×C₅	#1984	1	2	yes	—
269	C₂³	C₂×C₄²×C₅	1	1	yes	characteristic
270	C₂³	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
271	C₂³	C₂×C₅×C₄⋊C₄	1	1	yes	characteristic
272	C₂³	C₄×C₅×D₄	1	2	yes	—
273	C₂³	C₄×C₅×Q₈	1	2	yes	—
274	C₂³	C₂²×C₅×C₈	1	2	yes	—
275	C₂³	C₂×C₅×M₁₆	1	2	yes	—
276	C₂³	C₅×#131	1	4	yes	—
277	C₂×C₄	—	2	4	no	—
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	2	4	no	—
280	C₂×C₄	—	2	8	no	—
281	C₂×C₄	—	2	16	no	—
282	C₂×C₄	—	4	4	no	—
283	C₂×C₄	—	4	4	no	—
284	C₂×C₄	—	4	8	no	—
285	C₂×C₄	C₅×#95	1	4	yes	—
286	C₂×C₄	C₅×#95	1	4	yes	—
287	C₂×C₄	C₄×C₅×C₈	1	4	yes	—
288	C₂×C₄	C₅×#97	1	4	yes	—
289	C₂×C₄	C₅×C₂²⋊C₈	1	8	yes	—
290	C₂×C₄	C₅×C₄⋊C₈	1	8	yes	—
291	C₂×C₄	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
292	C₂×C₄	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
293	C₂×C₄	C₂×C₅×C₄⋊C₄	1	2	yes	—
294	C₂×C₄	C₂×C₅×C₄⋊C₄	1	1	yes	characteristic
295	C₂×C₄	C₂×C₅×C₄⋊C₄	1	1	yes	characteristic
296	C₂×C₄	C₅×#117	1	2	yes	—
297	C₂×C₄	C₄×C₅×D₄	1	2	yes	—
298	C₂×C₄	C₄×C₅×Q₈	1	2	yes	—
299	C₂×C₄	C₅×#121	1	2	yes	—
300	C₂×C₄	C₅×#121	1	2	yes	—
301	C₂×C₄	C₅×C₂²⋊Q₈	1	2	yes	—
302	C₂×C₄	C₅×C₂²⋊Q₈	1	2	yes	—
303	C₂×C₄	C₅×#124	1	1	yes	characteristic
304	C₂×C₄	C₅×#124	1	1	yes	characteristic
305	C₂×C₄	C₅×#125	1	2	yes	—
306	C₂×C₄	C₅×#127	1	1	yes	characteristic
307	C₂×C₄	C₅×C₄⋊Q₈	1	2	yes	—
308	C₂×C₄	C₅×C₄⋊Q₈	1	1	yes	characteristic
309	C₈	—	2	8	no	—
310	C₈	—	4	4	no	—
311	C₅	#10834	1	1	yes	characteristic, direct product factor, Sylow
312	C₂²	C₂×C₅×#95	1	1	yes	characteristic
313	C₂²	C₄×C₅×C₄⋊C₄	1	2	yes	—
314	C₂²	C₅×#389	1	2	yes	—
315	C₂²	C₅×#390	1	1	yes	characteristic
316	C₂²	C₅×#391	1	1	yes	characteristic
317	C₂²	C₂×C₄×C₅×C₈	1	1	yes	characteristic
318	C₂²	C₂×C₅×#97	1	1	yes	characteristic
319	C₂²	C₅×#405	1	2	yes	—
320	C₂²	C₂×C₅×C₂²⋊C₈	1	2	yes	—
321	C₂²	C₅×#408	1	2	yes	—
322	C₂²	C₂×C₅×C₄⋊C₈	1	2	yes	—
323	C₂²	C₅×#424	1	2	yes	—
324	C₂²	C₅×C₈×D₄	1	4	yes	—
325	C₂²	C₅×#436	1	4	yes	—
326	C₂²	C₅×C₈×Q₈	1	4	yes	—
327	C₂²	C₅×#446	1	4	yes	—
328	C₄	—	2	4	no	—
329	C₄	—	4	8	no	—
330	C₄	C₅×#336	1	8	yes	complemented
331	C₄	C₅×#380	1	2	yes	—
332	C₄	C₅×#382	1	1	yes	characteristic
333	C₄	C₅×#384	1	1	yes	characteristic
334	C₄	C₅×#389	1	2	yes	—
335	C₄	C₅×#390	1	1	yes	characteristic
336	C₄	C₅×#391	1	1	yes	characteristic
337	C₂	C₅×C₄⋊#95	1	1	yes	characteristic
338	C₂	C₂×C₅×#336	1	1	yes	characteristic
339	C₂	C₅×#1729	1	1	yes	characteristic
340	C₂	C₅×C₈×C₄⋊C₄	1	2	yes	—
341	C₂	C₅×#1770	1	2	yes	—
342	C₂	C₅×#1939	1	4	yes	—
343	C₂	C₅×#1954	1	2	yes	—
344	C₂	C₅×#1984	1	2	yes	—

	subgroup	G/H
center	C₂³×C₄×C₅	C₂³
commutator	C₂²	C₂×C₄×C₅×C₈
Frattini, cosocle	C₂³×C₄	C₂³×C₅
socle, prime radical	C₂⁴×C₅	C₂²×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
12. C₂×C₅×C₄⋊C₈	C₄	semidirect
15. C₂×C₄×C₅×C₈	C₄	semidirect
20. #10834	C₅	direct (N × H)
39. C₂×C₅×C₄⋊C₄	C₈	semidirect
93. C₂×C₅×C₈	C₄⋊C₄	semidirect
109. C₂×C₄⋊C₈	C₄×C₅	semidirect
112. C₂×C₄×C₈	C₄×C₅	semidirect
177. C₂×C₄⋊C₄	C₅×C₈	semidirect
209. C₄×C₅	#336	semidirect
252. C₂×C₈	C₅×C₄⋊C₄	semidirect
311. C₅	#10834	direct (N × H)
330. C₄	C₅×#336	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₅×C₄⋊C₈	2
C₂²×C₄×C₅×C₈	2
C₂×C₄×C₅×C₄⋊C₄	2
C₂×C₅×#336	2
#10834	5

Subgroups — C5×#10834 #11933554

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#10834 #11933554