Subgroups — C₂×C₅×#3131 #11983325

Order 1280.

2222 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×#532	C₂	1	1	yes	maximal, characteristic
3	C₅×#3131	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₅×#488	C₂	1	4	yes	maximal, complemented
5	C₂×C₅×#487	C₂	1	2	yes	maximal, complemented
6	C₂×C₅×#486	C₂	1	2	yes	maximal, complemented
7	C₂×C₅×#416	C₂	1	4	yes	maximal, complemented
8	C₂²×C₄×C₅×C₈	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×C₅×#41	C₂²	1	2	yes	—
10	C₂³×C₅×C₈	C₂²	1	2	yes	—
11	C₅×#533	—	2	4	no	—
12	C₅×#533	C₂²	1	8	yes	complemented
13	C₅×#532	—	2	4	no	—
14	C₅×#532	C₂²	1	8	yes	—
15	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
16	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
17	C₂×C₅×#127	C₂²	1	1	yes	characteristic
18	C₂×C₅×#125	C₂²	1	2	yes	—
19	C₂×C₅×#124	C₂²	1	2	yes	—
20	C₂×C₅×C₂²⋊Q₈	—	2	2	no	—
21	C₂×C₅×#121	—	2	2	no	—
22	C₂×C₄×C₅×Q₈	—	2	2	no	—
23	C₂×C₄×C₅×D₄	—	2	2	no	—
24	C₂×C₅×#117	C₂²	1	2	yes	—
25	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
26	C₅×#488	C₂²	1	32	yes	complemented
27	C₅×#487	C₂²	1	16	yes	complemented
28	C₅×#486	C₂²	1	16	yes	complemented
29	C₅×#416	C₂²	1	32	yes	complemented
30	C₂×C₅×#103	C₂²	1	8	yes	—
31	C₂×C₅×#102	C₂²	1	8	yes	—
32	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
33	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
34	C₂×C₄×C₅×C₈	C₂²	1	8	yes	complemented
35	C₂×#3131	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
36	C₂×C₅×#41	—	2	4	no	—
37	C₂×C₅×#41	—	2	16	no	—
38	C₂×C₅×#41	C₂³	1	8	yes	—
39	C₂²×C₅×Q₈	—	2	2	no	—
40	C₂²×C₅×Q₈	C₂³	1	2	yes	—
41	C₂²×C₅×D₄	—	2	2	no	—
42	C₂²×C₅×D₄	—	2	2	no	—
43	C₂²×C₅×D₄	C₂³	1	2	yes	—
44	C₂³×C₄×C₅	—	2	2	no	—
45	C₂³×C₄×C₅	D₄	1	2	yes	—
46	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
47	C₂²×C₅×C₈	—	2	8	no	—
48	C₂²×C₅×C₈	C₂³	1	4	yes	—
49	C₂²×C₅×C₈	C₂³	1	8	yes	—
50	C₅×C₄⋊Q₈	—	2	2	no	—
51	C₅×C₄⋊Q₈	—	2	4	no	—
52	C₅×C₄⋊Q₈	C₂³	1	4	yes	—
53	C₅×C₄⋊Q₈	C₂³	1	8	yes	—
54	C₅×#127	—	2	2	no	—
55	C₅×#127	C₂³	1	4	yes	—
56	C₅×#125	—	2	4	no	—
57	C₅×#125	C₂³	1	8	yes	—
58	C₅×#124	—	2	4	no	—
59	C₅×#124	C₂³	1	8	yes	—
60	C₅×C₂²⋊Q₈	—	2	16	no	—
61	C₅×#121	—	2	16	no	—
62	C₄×C₅×Q₈	—	2	16	no	—
63	C₄×C₅×D₄	—	2	16	no	—
64	C₅×#117	—	2	4	no	—
65	C₅×#117	C₂³	1	8	yes	—
66	C₂×C₅×C₄⋊C₄	—	2	2	no	—
67	C₂×C₅×C₄⋊C₄	—	2	4	no	—
68	C₂×C₅×C₄⋊C₄	—	2	2	no	—
69	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
70	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
71	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
72	C₂×C₄²×C₅	—	2	2	no	—
73	C₂×C₄²×C₅	D₄	1	4	yes	—
74	C₂×C₄²×C₅	D₄	1	2	yes	—
75	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
76	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
77	C₂×C₄²×C₅	C₂³	1	4	yes	—
78	C₅×#103	C₂³	1	32	yes	—
79	C₅×#102	C₂³	1	32	yes	—
80	C₄×C₅×C₈	C₂³	1	8	yes	—
81	C₄×C₅×C₈	C₂³	1	8	yes	—
82	C₂×#533	C₂×C₅	1	1	yes	characteristic, complemented
83	C₂×#532	C₂×C₅	1	1	yes	characteristic
84	#3131	C₂×C₅	1	16	yes	direct product factor
85	C₂×#488	C₂×C₅	1	4	yes	complemented
86	C₂×#487	C₂×C₅	1	2	yes	complemented
87	C₂×#486	C₂×C₅	1	2	yes	complemented
88	C₂×#416	C₂×C₅	1	4	yes	complemented
89	C₂²×C₄×C₈	C₂×C₅	1	1	yes	characteristic, complemented
90	C₂⁴×C₅	—	2	2	no	—
91	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
92	C₅×#41	—	2	32	no	—
93	C₅×#41	—	4	16	no	—
94	C₂×C₅×Q₈	—	2	8	no	—
95	C₂×C₅×Q₈	—	2	2	no	—
96	C₂×C₅×Q₈	—	2	8	no	—
97	C₂×C₅×Q₈	—	4	8	no	—
98	C₂×C₅×Q₈	C₂⁴	1	4	yes	—
99	C₂×C₅×D₄	—	2	8	no	—
100	C₂×C₅×D₄	—	2	8	no	—
101	C₂×C₅×D₄	—	2	2	no	—
102	C₂×C₅×D₄	—	2	8	no	—
103	C₂×C₅×D₄	—	4	8	no	—
104	C₂×C₅×D₄	—	4	8	no	—
105	C₂×C₅×D₄	C₂⁴	1	4	yes	—
106	C₂²×C₄×C₅	—	2	8	no	—
107	C₂²×C₄×C₅	—	2	4	no	—
108	C₂²×C₄×C₅	—	2	2	no	—
109	C₂²×C₄×C₅	—	2	8	no	—
110	C₂²×C₄×C₅	—	4	8	no	—
111	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
112	C₂²×C₄×C₅	C₂×D₄	1	8	yes	—
113	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
114	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
115	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
116	C₂²×C₄×C₅	#41	1	8	yes	—
117	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
118	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
119	C₂×C₅×C₈	—	2	8	no	—
120	C₂×C₅×C₈	—	2	16	no	—
121	C₂×C₅×C₈	C₂⁴	1	8	yes	—
122	C₅×C₄⋊C₄	—	2	8	no	—
123	C₅×C₄⋊C₄	—	2	16	no	—
124	C₅×C₄⋊C₄	—	2	8	no	—
125	C₅×C₄⋊C₄	—	2	4	no	—
126	C₅×C₄⋊C₄	C₂⁴	1	8	yes	—
127	C₅×C₂²⋊C₄	—	2	8	no	—
128	C₅×C₂²⋊C₄	—	2	16	no	—
129	C₄²×C₅	—	2	8	no	—
130	C₄²×C₅	C₂×D₄	1	8	yes	—
131	C₄²×C₅	C₂×D₄	1	2	yes	—
132	C₄²×C₅	C₂×D₄	1	2	yes	—
133	C₄²×C₅	C₂⁴	1	2	yes	—
134	C₄²×C₅	C₂⁴	1	2	yes	—
135	C₂²×#41	C₂²×C₅	1	2	yes	—
136	C₂³×C₈	C₂²×C₅	1	2	yes	—
137	#533	—	2	4	no	—
138	#533	C₂²×C₅	1	8	yes	complemented
139	#532	—	2	4	no	—
140	#532	C₂²×C₅	1	8	yes	—
141	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
142	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
143	C₂×#127	C₂²×C₅	1	1	yes	characteristic
144	C₂×#125	C₂²×C₅	1	2	yes	—
145	C₂×#124	C₂²×C₅	1	2	yes	—
146	C₂×C₂²⋊Q₈	—	2	2	no	—
147	C₂×#121	—	2	2	no	—
148	C₂×C₄×Q₈	—	2	2	no	—
149	C₂×C₄×D₄	—	2	2	no	—
150	C₂×#117	C₂²×C₅	1	2	yes	—
151	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
152	#488	C₂²×C₅	1	32	yes	complemented
153	#487	C₂²×C₅	1	16	yes	complemented
154	#486	C₂²×C₅	1	16	yes	complemented
155	#416	C₂²×C₅	1	32	yes	complemented
156	C₂×#103	C₂²×C₅	1	8	yes	—
157	C₂×#102	C₂²×C₅	1	8	yes	—
158	C₂×C₄×C₈	C₂²×C₅	1	2	yes	—
159	C₂×C₄×C₈	C₂²×C₅	1	2	yes	—
160	C₂×C₄×C₈	C₂²×C₅	1	8	yes	complemented
161	C₂³×C₅	—	2	4	no	—
162	C₂³×C₅	—	2	4	no	—
163	C₂³×C₅	—	4	4	no	—
164	C₂³×C₅	—	4	8	no	—
165	C₂³×C₅	#124	1	4	yes	—
166	C₂³×C₅	C₂²×D₄	1	2	yes	—
167	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
168	C₅×Q₈	—	2	8	no	—
169	C₅×Q₈	—	4	4	no	—
170	C₅×Q₈	—	4	16	no	—
171	C₅×D₄	—	2	8	no	—
172	C₅×D₄	—	4	16	no	—
173	C₅×D₄	—	4	4	no	—
174	C₅×D₄	—	4	16	no	—
175	C₂×C₄×C₅	—	2	4	no	—
176	C₂×C₄×C₅	—	2	16	no	—
177	C₂×C₄×C₅	—	2	8	no	—
178	C₂×C₄×C₅	—	2	4	no	—
179	C₂×C₄×C₅	—	4	4	no	—
180	C₂×C₄×C₅	—	4	8	no	—
181	C₂×C₄×C₅	—	4	16	no	—
182	C₂×C₄×C₅	#124	1	4	yes	—
183	C₂×C₄×C₅	#124	1	8	yes	—
184	C₂×C₄×C₅	#135	1	8	yes	—
185	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
186	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
187	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
188	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
189	C₂×C₄×C₅	C₂×#41	1	4	yes	—
190	C₂×C₄×C₅	C₂×#41	1	8	yes	—
191	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
192	C₅×C₈	—	2	8	no	—
193	C₂×#41	—	2	4	no	—
194	C₂×#41	—	2	16	no	—
195	C₂×#41	C₂³×C₅	1	8	yes	—
196	C₂²×Q₈	—	2	2	no	—
197	C₂²×Q₈	C₂³×C₅	1	2	yes	—
198	C₂²×D₄	—	2	2	no	—
199	C₂²×D₄	—	2	2	no	—
200	C₂²×D₄	C₂³×C₅	1	2	yes	—
201	C₂³×C₄	—	2	2	no	—
202	C₂³×C₄	C₅×D₄	1	2	yes	—
203	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
204	C₂²×C₈	—	2	8	no	—
205	C₂²×C₈	C₂³×C₅	1	4	yes	—
206	C₂²×C₈	C₂³×C₅	1	8	yes	—
207	C₄⋊Q₈	—	2	2	no	—
208	C₄⋊Q₈	—	2	4	no	—
209	C₄⋊Q₈	C₂³×C₅	1	4	yes	—
210	C₄⋊Q₈	C₂³×C₅	1	8	yes	—
211	#127	—	2	2	no	—
212	#127	C₂³×C₅	1	4	yes	—
213	#125	—	2	4	no	—
214	#125	C₂³×C₅	1	8	yes	—
215	#124	—	2	4	no	—
216	#124	C₂³×C₅	1	8	yes	—
217	C₂²⋊Q₈	—	2	16	no	—
218	#121	—	2	16	no	—
219	C₄×Q₈	—	2	16	no	—
220	C₄×D₄	—	2	16	no	—
221	#117	—	2	4	no	—
222	#117	C₂³×C₅	1	8	yes	—
223	C₂×C₄⋊C₄	—	2	2	no	—
224	C₂×C₄⋊C₄	—	2	4	no	—
225	C₂×C₄⋊C₄	—	2	2	no	—
226	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
227	C₂×C₂²⋊C₄	—	2	2	no	—
228	C₂×C₂²⋊C₄	—	2	4	no	—
229	C₂×C₄²	—	2	2	no	—
230	C₂×C₄²	C₅×D₄	1	2	yes	—
231	C₂×C₄²	C₅×D₄	1	4	yes	—
232	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
233	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
234	C₂×C₄²	C₂³×C₅	1	4	yes	—
235	#103	C₂³×C₅	1	32	yes	—
236	#102	C₂³×C₅	1	32	yes	—
237	C₄×C₈	C₂³×C₅	1	8	yes	—
238	C₄×C₈	C₂³×C₅	1	8	yes	—
239	C₂²×C₅	—	2	8	no	—
240	C₂²×C₅	—	2	4	no	—
241	C₂²×C₅	—	4	4	no	—
242	C₂²×C₅	—	4	8	no	—
243	C₂²×C₅	—	8	8	no	—
244	C₂²×C₅	C₂×#124	1	4	yes	—
245	C₂²×C₅	C₂×#124	1	2	yes	—
246	C₂²×C₅	C₂×#135	1	4	yes	—
247	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
248	C₄×C₅	—	2	4	no	—
249	C₄×C₅	—	4	4	no	—
250	C₄×C₅	—	4	8	no	—
251	C₄×C₅	C₂×#124	1	4	yes	—
252	C₄×C₅	C₂×#124	1	2	yes	—
253	C₄×C₅	C₂×#135	1	8	yes	—
254	C₄×C₅	C₂²×#41	1	2	yes	—
255	C₂⁴	—	2	2	no	—
256	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
257	#41	—	2	32	no	—
258	#41	—	4	16	no	—
259	C₂×Q₈	—	2	8	no	—
260	C₂×Q₈	—	2	2	no	—
261	C₂×Q₈	—	2	8	no	—
262	C₂×Q₈	—	4	8	no	—
263	C₂×Q₈	C₂⁴×C₅	1	4	yes	—
264	C₂×D₄	—	2	8	no	—
265	C₂×D₄	—	2	8	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂×D₄	—	2	8	no	—
268	C₂×D₄	—	4	8	no	—
269	C₂×D₄	—	4	8	no	—
270	C₂×D₄	C₂⁴×C₅	1	4	yes	—
271	C₂²×C₄	—	2	8	no	—
272	C₂²×C₄	—	2	4	no	—
273	C₂²×C₄	—	2	2	no	—
274	C₂²×C₄	—	2	8	no	—
275	C₂²×C₄	—	4	8	no	—
276	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
277	C₂²×C₄	C₂×C₅×D₄	1	8	yes	—
278	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
279	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
280	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
281	C₂²×C₄	C₅×#41	1	8	yes	—
282	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
283	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
284	C₂×C₈	—	2	8	no	—
285	C₂×C₈	—	2	16	no	—
286	C₂×C₈	C₂⁴×C₅	1	8	yes	—
287	C₄⋊C₄	—	2	8	no	—
288	C₄⋊C₄	—	2	16	no	—
289	C₄⋊C₄	—	2	8	no	—
290	C₄⋊C₄	—	2	4	no	—
291	C₄⋊C₄	C₂⁴×C₅	1	8	yes	—
292	C₂²⋊C₄	—	2	8	no	—
293	C₂²⋊C₄	—	2	16	no	—
294	C₄²	—	2	8	no	—
295	C₄²	C₂×C₅×D₄	1	8	yes	—
296	C₄²	C₂×C₅×D₄	1	2	yes	—
297	C₄²	C₂×C₅×D₄	1	2	yes	—
298	C₄²	C₂⁴×C₅	1	2	yes	—
299	C₄²	C₂⁴×C₅	1	2	yes	—
300	C₂×C₅	—	2	4	no	—
301	C₂×C₅	—	8	4	no	—
302	C₂×C₅	#3131	1	4	yes	direct product factor
303	C₂×C₅	C₂²×#124	1	1	yes	characteristic
304	C₂×C₅	C₂²×#135	1	2	yes	—
305	C₂³	—	2	4	no	—
306	C₂³	—	2	4	no	—
307	C₂³	—	4	4	no	—
308	C₂³	—	4	8	no	—
309	C₂³	C₅×#124	1	4	yes	—
310	C₂³	C₂²×C₅×D₄	1	2	yes	—
311	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
312	Q₈	—	2	8	no	—
313	Q₈	—	4	4	no	—
314	Q₈	—	4	16	no	—
315	D₄	—	2	8	no	—
316	D₄	—	4	16	no	—
317	D₄	—	4	4	no	—
318	D₄	—	4	16	no	—
319	C₂×C₄	—	2	4	no	—
320	C₂×C₄	—	2	16	no	—
321	C₂×C₄	—	2	8	no	—
322	C₂×C₄	—	2	4	no	—
323	C₂×C₄	—	4	4	no	—
324	C₂×C₄	—	4	8	no	—
325	C₂×C₄	—	4	16	no	—
326	C₂×C₄	C₅×#124	1	4	yes	—
327	C₂×C₄	C₅×#124	1	8	yes	—
328	C₂×C₄	C₅×#135	1	8	yes	—
329	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
330	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
331	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
332	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
333	C₂×C₄	C₂×C₅×#41	1	4	yes	—
334	C₂×C₄	C₂×C₅×#41	1	8	yes	—
335	C₂×C₄	C₂⁵×C₅	1	1	yes	characteristic
336	C₈	—	2	8	no	—
337	C₅	C₂×#3131	1	1	yes	characteristic, direct product factor, Sylow
338	C₂²	—	2	8	no	—
339	C₂²	—	2	4	no	—
340	C₂²	—	4	4	no	—
341	C₂²	—	4	8	no	—
342	C₂²	—	8	8	no	—
343	C₂²	C₂×C₅×#124	1	4	yes	—
344	C₂²	C₂×C₅×#124	1	2	yes	—
345	C₂²	C₂×C₅×#135	1	4	yes	—
346	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
347	C₄	—	2	4	no	—
348	C₄	—	4	4	no	—
349	C₄	—	4	8	no	—
350	C₄	C₂×C₅×#124	1	4	yes	—
351	C₄	C₂×C₅×#124	1	2	yes	—
352	C₄	C₂×C₅×#135	1	8	yes	—
353	C₄	C₂²×C₅×#41	1	2	yes	—
354	C₂	—	2	4	no	—
355	C₂	—	8	4	no	—
356	C₂	C₅×#3131	1	4	yes	direct product factor
357	C₂	C₂²×C₅×#124	1	1	yes	characteristic
358	C₂	C₂²×C₅×#135	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₅	C₂×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₅
socle	C₂³×C₅	C₂²×D₄
prime radical	C₂×C₅×#532	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₅ ◁ C₂²×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#533	C₂	semidirect
3. C₅×#3131	C₂	direct (N × H)
4. C₂×C₅×#488	C₂	semidirect
5. C₂×C₅×#487	C₂	semidirect
6. C₂×C₅×#486	C₂	semidirect
7. C₂×C₅×#416	C₂	semidirect
8. C₂²×C₄×C₅×C₈	C₂	semidirect
12. C₅×#533	C₂²	semidirect
26. C₅×#488	C₂²	semidirect
27. C₅×#487	C₂²	semidirect
28. C₅×#486	C₂²	semidirect
29. C₅×#416	C₂²	semidirect
34. C₂×C₄×C₅×C₈	C₂²	semidirect
35. C₂×#3131	C₅	direct (N × H)
82. C₂×#533	C₂×C₅	semidirect
84. #3131	C₂×C₅	direct (N × H)
85. C₂×#488	C₂×C₅	semidirect
86. C₂×#487	C₂×C₅	semidirect
87. C₂×#486	C₂×C₅	semidirect
88. C₂×#416	C₂×C₅	semidirect
89. C₂²×C₄×C₈	C₂×C₅	semidirect
138. #533	C₂²×C₅	semidirect
152. #488	C₂²×C₅	semidirect
153. #487	C₂²×C₅	semidirect
154. #486	C₂²×C₅	semidirect
155. #416	C₂²×C₅	semidirect
160. C₂×C₄×C₈	C₂²×C₅	semidirect
302. C₂×C₅	#3131	direct (N × H)
337. C₅	C₂×#3131	direct (N × H)
356. C₂	C₅×#3131	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×C₅×#533	2
C₂×C₅×#532	2
C₅×#3131	2
C₂×C₅×#488	2
C₂×C₅×#487	2
C₂×C₅×#486	2
C₂×C₅×#416	2
C₂²×C₄×C₅×C₈	2
C₂×#3131	5

Subgroups — C2×C5×#3131 #11983325

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#3131 #11983325