Subgroups — C₅×#70432 #14284842

Order 1920.

520 conjugacy classes of subgroups.

The subgroup lattice has 364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#5477	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#4924	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#4486	C₂	1	2	yes	maximal, complemented
5	C₅×#4485	C₂	1	2	yes	maximal, complemented
6	C₅×#1547	—	3	1	no	maximal, Hall
7	C₂×C₅×#235	—	2	1	no	—
8	C₂²×C₃×C₅×C₈	—	2	1	no	—
9	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
10	C₅×#930	—	2	1	no	—
11	C₅×#930	C₄	1	2	yes	—
12	C₂×C₅×#208	—	2	1	no	—
13	C₅×#875	—	2	1	no	—
14	C₅×#874	C₂²	1	1	yes	characteristic
15	C₄×C₅×D₁₂	—	2	1	no	—
16	C₄×C₅×D₁₂	C₄	1	2	yes	—
17	C₅×#869	C₂²	1	1	yes	characteristic
18	C₃×C₅×C₄⋊C₈	—	2	1	no	—
19	C₃×C₅×C₄⋊C₈	C₂²	1	2	yes	—
20	C₅×C₄⋊(C₃⋊C₈)	—	2	1	no	—
21	C₅×C₄⋊(C₃⋊C₈)	C₂²	1	2	yes	—
22	#70432	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
23	C₅×#532	—	3	1	no	—
24	C₅×#423	—	3	1	no	—
25	C₂×C₅×C₄⋊C₈	D₃	1	1	yes	characteristic, complemented
26	C₅×#332	—	3	2	no	—
27	C₅×#331	—	3	2	no	—
28	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
29	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
30	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
31	C₂×C₅×#67	—	2	2	no	—
32	C₅×#235	—	4	2	no	—
33	C₅×#235	—	4	2	no	—
34	C₂×C₅×D₁₂	—	2	1	no	—
35	C₂×C₅×D₁₂	—	2	1	no	—
36	C₂×C₅×D₁₂	C₂×C₄	1	2	yes	—
37	C₂×C₄×C₅×D₃	—	2	2	no	—
38	C₂×C₅×Dic₆	—	2	1	no	—
39	C₂×C₃×C₅×C₈	—	2	2	no	—
40	C₂×C₃×C₅×C₈	—	4	2	no	—
41	C₃×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
42	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
43	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
44	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
45	C₅×(C₂×D₃)⋊C₄	—	2	2	no	—
46	C₅×(C₂×D₃)⋊C₄	—	2	2	no	—
47	C₅×C₄⋊Dic₃	—	2	1	no	—
48	C₅×C₄⋊Dic₃	C₂×C₄	1	2	yes	—
49	C₅×#208	—	4	2	no	—
50	C₂×C₅×C₃⋊C₈	—	2	2	no	—
51	#5477	C₂×C₅	1	1	yes	characteristic
52	C₂×C₃×C₄⋊C₈	C₂×C₅	1	1	yes	characteristic, complemented
53	#4924	C₂×C₅	1	1	yes	characteristic, complemented
54	#4486	C₂×C₅	1	2	yes	complemented
55	#4485	C₂×C₅	1	2	yes	complemented
56	C₂×C₅×#41	—	6	1	no	—
57	C₂×C₅×M₁₆	—	6	1	no	—
58	C₂²×C₅×C₈	—	2	1	no	—
59	C₅×C₄⋊Q₈	—	3	1	no	—
60	C₅×#127	—	3	1	no	—
61	C₅×#124	—	6	1	no	—
62	C₅×#121	—	3	2	no	—
63	C₅×#121	—	6	1	no	—
64	C₄×C₅×D₄	—	3	2	no	—
65	C₄×C₅×D₄	—	6	1	no	—
66	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic
67	C₅×C₄⋊C₈	—	2	1	no	—
68	C₅×C₄⋊C₈	—	3	2	no	—
69	C₅×C₄⋊C₈	—	6	1	no	—
70	C₅×C₄⋊C₈	C₂×D₃	1	2	yes	—
71	#1547	—	3	1	no	Sylow
72	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
73	C₂²×C₅×D₃	—	2	2	no	—
74	C₂×C₃×C₄×C₅	—	2	1	no	—
75	C₂×C₃×C₄×C₅	—	2	1	no	—
76	C₂×C₃×C₄×C₅	—	4	1	no	—
77	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
78	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
80	C₂×C₃×C₄×C₅	D₈	1	2	yes	—
81	C₂×C₃×C₄×C₅	SD₁₆	1	2	yes	—
82	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
83	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
84	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
85	C₅×#67	—	4	4	no	—
86	C₂×C₅×Dic₃	—	2	2	no	—
87	C₅×D₁₂	—	4	2	no	—
88	C₅×D₁₂	—	4	1	no	—
89	C₅×D₁₂	—	4	1	no	—
90	C₅×D₁₂	—	4	1	no	—
91	C₅×D₁₂	—	4	1	no	—
92	C₄×C₅×D₃	—	4	4	no	—
93	C₅×Dic₆	—	4	1	no	—
94	C₅×Dic₆	—	4	1	no	—
95	C₃×C₅×C₈	—	4	2	no	—
96	C₅×C₃⋊C₈	—	4	2	no	—
97	C₂×#235	—	2	1	no	—
98	C₂²×C₃×C₈	—	2	1	no	—
99	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
100	#930	—	2	1	no	—
101	#930	C₄×C₅	1	2	yes	—
102	C₂×#208	—	2	1	no	—
103	#875	—	2	1	no	—
104	#874	C₂²×C₅	1	1	yes	characteristic
105	C₄×D₁₂	—	2	1	no	—
106	C₄×D₁₂	C₄×C₅	1	2	yes	—
107	#869	C₂²×C₅	1	1	yes	characteristic
108	C₃×C₄⋊C₈	—	2	1	no	—
109	C₃×C₄⋊C₈	C₂²×C₅	1	2	yes	—
110	C₄⋊(C₃⋊C₈)	—	2	1	no	—
111	C₄⋊(C₃⋊C₈)	C₂²×C₅	1	2	yes	—
112	C₅×#41	—	12	2	no	—
113	C₅×#41	—	12	2	no	—
114	C₂×C₅×Q₈	—	6	1	no	—
115	C₂×C₅×D₄	—	3	2	no	—
116	C₂×C₅×D₄	—	6	2	no	—
117	C₂×C₅×D₄	—	6	1	no	—
118	C₂×C₅×D₄	—	6	1	no	—
119	C₂²×C₄×C₅	—	6	2	no	—
120	C₂²×C₄×C₅	C₄×D₃	1	1	yes	characteristic
121	C₂²×C₄×C₅	D₁₂	1	1	yes	characteristic
122	C₂²×C₄×C₅	#67	1	1	yes	characteristic
123	C₅×M₁₆	—	12	2	no	—
124	C₂×C₅×C₈	—	2	2	no	—
125	C₂×C₅×C₈	—	4	2	no	—
126	C₂×C₅×C₈	—	6	2	no	—
127	C₅×C₄⋊C₄	—	3	2	no	—
128	C₅×C₄⋊C₄	—	6	1	no	—
129	C₅×C₂²⋊C₄	—	6	2	no	—
130	C₅×C₂²⋊C₄	—	6	2	no	—
131	C₄²×C₅	C₄×D₃	1	1	yes	characteristic
132	C₄²×C₅	D₁₂	1	1	yes	characteristic
133	C₄²×C₅	#67	1	1	yes	characteristic
134	C₄²×C₅	C₂²×D₃	1	1	yes	characteristic
135	#532	—	3	1	no	—
136	#423	—	3	1	no	—
137	C₂×C₄⋊C₈	C₅×D₃	1	1	yes	characteristic, complemented
138	#332	—	3	2	no	—
139	#331	—	3	2	no	—
140	C₂²×C₃×C₅	—	2	1	no	—
141	C₂²×C₃×C₅	—	2	1	no	—
142	C₂²×C₃×C₅	#102	1	2	yes	—
143	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
144	C₂×C₅×D₃	—	4	2	no	—
145	C₂×C₅×D₃	—	4	2	no	—
146	C₂×C₅×D₃	—	4	2	no	—
147	C₃×C₄×C₅	—	2	1	no	—
148	C₃×C₄×C₅	—	2	1	no	—
149	C₃×C₄×C₅	—	2	1	no	—
150	C₃×C₄×C₅	#102	1	2	yes	—
151	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
152	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
153	C₃×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
154	C₃×C₄×C₅	#137	1	1	yes	characteristic
155	C₅×Dic₃	—	4	2	no	—
156	C₂²×C₃×C₄	C₂×C₄×C₅	1	1	yes	characteristic
157	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
158	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
159	C₂×#67	—	2	2	no	—
160	#235	—	4	2	no	—
161	#235	—	4	2	no	—
162	C₂×D₁₂	—	2	1	no	—
163	C₂×D₁₂	—	2	1	no	—
164	C₂×D₁₂	C₂×C₄×C₅	1	2	yes	—
165	C₂×C₄×D₃	—	2	2	no	—
166	C₂×Dic₆	—	2	1	no	—
167	C₂×C₃×C₈	—	2	2	no	—
168	C₂×C₃×C₈	—	4	2	no	—
169	C₃×C₄²	C₂×C₄×C₅	1	1	yes	characteristic
170	C₃×C₄²	C₅×D₄	1	1	yes	characteristic
171	C₃×C₄²	C₅×D₄	1	1	yes	characteristic
172	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
173	(C₂×D₃)⋊C₄	—	2	2	no	—
174	(C₂×D₃)⋊C₄	—	2	2	no	—
175	C₄⋊Dic₃	—	2	1	no	—
176	C₄⋊Dic₃	C₂×C₄×C₅	1	2	yes	—
177	#208	—	4	2	no	—
178	C₂×C₃⋊C₈	—	2	2	no	—
179	C₂³×C₅	—	6	2	no	—
180	C₂³×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
181	C₅×Q₈	—	12	1	no	—
182	C₅×Q₈	—	12	1	no	—
183	C₅×D₄	—	12	2	no	—
184	C₅×D₄	—	12	4	no	—
185	C₅×D₄	—	12	1	no	—
186	C₅×D₄	—	12	1	no	—
187	C₅×D₄	—	12	1	no	—
188	C₅×D₄	—	12	1	no	—
189	C₂×C₄×C₅	—	2	1	no	—
190	C₂×C₄×C₅	—	2	1	no	—
191	C₂×C₄×C₅	—	4	1	no	—
192	C₂×C₄×C₅	—	6	2	no	—
193	C₂×C₄×C₅	—	12	4	no	—
194	C₂×C₄×C₅	#204	1	2	yes	—
195	C₂×C₄×C₅	D₂₄	1	2	yes	—
196	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
197	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
198	C₂×C₄×C₅	(C₂×D₃)⋊C₄	1	1	yes	characteristic
199	C₂×C₄×C₅	C₂×C₄×D₃	1	1	yes	characteristic
200	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
201	C₂×C₄×C₅	C₂×#67	1	1	yes	characteristic
202	C₅×C₈	—	4	2	no	—
203	C₅×C₈	—	12	2	no	—
204	C₂×#41	—	6	1	no	—
205	C₂×M₁₆	—	6	1	no	—
206	C₂²×C₈	—	2	1	no	—
207	C₄⋊Q₈	—	3	1	no	—
208	#127	—	3	1	no	—
209	#124	—	6	1	no	—
210	#121	—	3	2	no	—
211	#121	—	6	1	no	—
212	C₄×D₄	—	3	2	no	—
213	C₄×D₄	—	6	1	no	—
214	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic
215	C₄⋊C₈	—	2	1	no	—
216	C₄⋊C₈	—	3	2	no	—
217	C₄⋊C₈	—	6	1	no	—
218	C₄⋊C₈	C₂×C₅×D₃	1	2	yes	—
219	C₂×C₃×C₅	—	2	2	no	—
220	C₂×C₃×C₅	#413	1	1	yes	characteristic
221	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
222	C₂×C₃×C₅	#417	1	1	yes	characteristic
223	C₅×D₃	—	8	2	no	—
224	C₂³×C₃	C₅×C₂²⋊C₄	1	1	yes	characteristic
225	C₂²×D₃	—	2	2	no	—
226	C₂×C₃×C₄	—	2	1	no	—
227	C₂×C₃×C₄	—	2	1	no	—
228	C₂×C₃×C₄	—	4	1	no	—
229	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
230	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
231	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
232	C₂×C₃×C₄	C₅×D₈	1	2	yes	—
233	C₂×C₃×C₄	C₅×SD₁₆	1	2	yes	—
234	C₂×C₃×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
235	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
236	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
237	#67	—	4	4	no	—
238	C₂×Dic₃	—	2	2	no	—
239	D₁₂	—	4	2	no	—
240	D₁₂	—	4	1	no	—
241	D₁₂	—	4	1	no	—
242	D₁₂	—	4	1	no	—
243	D₁₂	—	4	1	no	—
244	C₄×D₃	—	4	4	no	—
245	Dic₆	—	4	1	no	—
246	Dic₆	—	4	1	no	—
247	C₃×C₈	—	4	2	no	—
248	C₃⋊C₈	—	4	2	no	—
249	C₂²×C₅	—	2	1	no	—
250	C₂²×C₅	—	2	1	no	—
251	C₂²×C₅	—	12	2	no	—
252	C₂²×C₅	—	12	2	no	—
253	C₂²×C₅	—	12	2	no	—
254	C₂²×C₅	#821	1	2	yes	—
255	C₂²×C₅	C₂×(C₂×D₃)⋊C₄	1	1	yes	characteristic
256	C₄×C₅	—	2	1	no	—
257	C₄×C₅	—	2	1	no	—
258	C₄×C₅	—	2	1	no	—
259	C₄×C₅	—	12	2	no	—
260	C₄×C₅	#821	1	2	yes	—
261	C₄×C₅	C₂×#204	1	1	yes	characteristic
262	C₄×C₅	C₂×D₂₄	1	1	yes	characteristic
263	C₄×C₅	#932	1	1	yes	characteristic
264	C₄×C₅	#942	1	1	yes	characteristic
265	#41	—	12	2	no	—
266	#41	—	12	2	no	—
267	C₂×Q₈	—	6	1	no	—
268	C₂×D₄	—	3	2	no	—
269	C₂×D₄	—	6	2	no	—
270	C₂×D₄	—	6	1	no	—
271	C₂×D₄	—	6	1	no	—
272	C₂²×C₄	—	6	2	no	—
273	C₂²×C₄	C₄×C₅×D₃	1	1	yes	characteristic
274	C₂²×C₄	C₅×D₁₂	1	1	yes	characteristic
275	C₂²×C₄	C₅×#67	1	1	yes	characteristic
276	M₁₆	—	12	2	no	—
277	C₂×C₈	—	2	2	no	—
278	C₂×C₈	—	4	2	no	—
279	C₂×C₈	—	6	2	no	—
280	C₄⋊C₄	—	3	2	no	—
281	C₄⋊C₄	—	6	1	no	—
282	C₂²⋊C₄	—	6	2	no	—
283	C₂²⋊C₄	—	6	2	no	—
284	C₄²	C₄×C₅×D₃	1	1	yes	characteristic
285	C₄²	C₅×D₁₂	1	1	yes	characteristic
286	C₄²	C₅×#67	1	1	yes	characteristic
287	C₄²	C₂²×C₅×D₃	1	1	yes	characteristic
288	C₃×C₅	#1547	1	1	yes	characteristic, complemented, Hall
289	C₂²×C₃	—	2	1	no	—
290	C₂²×C₃	—	2	1	no	—
291	C₂²×C₃	C₅×#102	1	2	yes	—
292	C₂²×C₃	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
293	C₂×D₃	—	4	2	no	—
294	C₂×D₃	—	4	2	no	—
295	C₂×D₃	—	4	2	no	—
296	C₃×C₄	—	2	1	no	—
297	C₃×C₄	—	2	1	no	—
298	C₃×C₄	—	2	1	no	—
299	C₃×C₄	C₅×#102	1	2	yes	—
300	C₃×C₄	C₂×C₅×D₈	1	1	yes	characteristic
301	C₃×C₄	C₂×C₅×SD₁₆	1	1	yes	characteristic
302	C₃×C₄	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
303	C₃×C₄	C₅×#137	1	1	yes	characteristic
304	Dic₃	—	4	2	no	—
305	C₂×C₅	—	2	2	no	—
306	C₂×C₅	—	24	2	no	—
307	C₂×C₅	#4966	1	1	yes	characteristic
308	C₂×C₅	C₂×#821	1	1	yes	characteristic
309	C₂×C₅	#5132	1	1	yes	characteristic
310	C₂³	—	6	2	no	—
311	C₂³	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
312	Q₈	—	12	1	no	—
313	Q₈	—	12	1	no	—
314	D₄	—	12	2	no	—
315	D₄	—	12	4	no	—
316	D₄	—	12	1	no	—
317	D₄	—	12	1	no	—
318	D₄	—	12	1	no	—
319	D₄	—	12	1	no	—
320	C₂×C₄	—	2	1	no	—
321	C₂×C₄	—	2	1	no	—
322	C₂×C₄	—	4	1	no	—
323	C₂×C₄	—	6	2	no	—
324	C₂×C₄	—	12	4	no	—
325	C₂×C₄	C₅×#204	1	2	yes	—
326	C₂×C₄	C₅×D₂₄	1	2	yes	—
327	C₂×C₄	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
328	C₂×C₄	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
329	C₂×C₄	C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
330	C₂×C₄	C₂×C₄×C₅×D₃	1	1	yes	characteristic
331	C₂×C₄	C₂×C₅×D₁₂	1	1	yes	characteristic
332	C₂×C₄	C₂×C₅×#67	1	1	yes	characteristic
333	C₈	—	4	2	no	—
334	C₈	—	12	2	no	—
335	C₂×C₃	—	2	2	no	—
336	C₂×C₃	C₅×#413	1	1	yes	characteristic
337	C₂×C₃	C₂×C₅×#102	1	1	yes	characteristic
338	C₂×C₃	C₅×#417	1	1	yes	characteristic
339	D₃	—	8	2	no	—
340	C₅	#70432	1	1	yes	characteristic, direct product factor, Sylow
341	C₂²	—	2	1	no	—
342	C₂²	—	2	1	no	—
343	C₂²	—	12	2	no	—
344	C₂²	—	12	2	no	—
345	C₂²	—	12	2	no	—
346	C₂²	C₅×#821	1	2	yes	—
347	C₂²	C₂×C₅×(C₂×D₃)⋊C₄	1	1	yes	characteristic
348	C₄	—	2	1	no	—
349	C₄	—	2	1	no	—
350	C₄	—	2	1	no	—
351	C₄	—	12	2	no	—
352	C₄	C₅×#821	1	2	yes	—
353	C₄	C₂×C₅×#204	1	1	yes	characteristic
354	C₄	C₂×C₅×D₂₄	1	1	yes	characteristic
355	C₄	C₅×#932	1	1	yes	characteristic
356	C₄	C₅×#942	1	1	yes	characteristic
357	C₃	C₅×#1547	1	1	yes	characteristic, complemented, Sylow
358	C₂	—	2	2	no	—
359	C₂	—	24	2	no	—
360	C₂	C₅×#4966	1	1	yes	characteristic
361	C₂	C₂×C₅×#821	1	1	yes	characteristic
362	C₂	C₅×#5132	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₅	C₂×(C₂×D₃)⋊C₄
commutator	C₂×C₃×C₄	C₂²×C₄×C₅
Frattini	C₄²	C₂²×C₅×D₃
Fitting	C₂×C₃×C₅×C₄⋊C₈	C₂
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	C₅×#5477	C₂
cosocle	C₃×C₄²	C₂³×C₅
hypercenter	C₂×C₅×C₄⋊C₈	D₃
hypocenter	C₃	C₅×#1547
LCS	G ▷ C₂×C₃×C₄ ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₅ ◁ C₂×C₄²×C₅ ◁ C₂×C₅×C₄⋊C₈

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₅×C₄⋊C₈	C₂	semidirect
3. C₅×#4924	C₂	semidirect
4. C₅×#4486	C₂	semidirect
5. C₅×#4485	C₂	semidirect
22. #70432	C₅	direct (N × H)
25. C₂×C₅×C₄⋊C₈	D₃	semidirect
52. C₂×C₃×C₄⋊C₈	C₂×C₅	semidirect
53. #4924	C₂×C₅	semidirect
54. #4486	C₂×C₅	semidirect
55. #4485	C₂×C₅	semidirect
137. C₂×C₄⋊C₈	C₅×D₃	semidirect
288. C₃×C₅	#1547	semidirect
340. C₅	#70432	direct (N × H)
357. C₃	C₅×#1547	semidirect

Maximal subgroups

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

subgroup	index
C₅×#5477	2
C₂×C₃×C₅×C₄⋊C₈	2
C₅×#4924	2
C₅×#4486	2
C₅×#4485	2
C₅×#1547	3
#70432	5

Subgroups — C5×#70432 #14284842

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#70432 #14284842