Subgroups — C₅×#10060 #11932780

Order 1280.

638 conjugacy classes of subgroups.

The subgroup lattice has 396 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#487	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×#476	C₂	1	1	yes	maximal, characteristic
3	C₅×#2542	C₂	1	1	yes	maximal, characteristic
4	C₅×#1987	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#332	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₅×D₄⋊C₈	C₂	1	1	yes	maximal, characteristic
7	C₅×#1279	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
9	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₅×C₂²⋊Q₈	—	2	2	no	—
11	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
12	C₅×#487	—	2	2	no	—
13	C₅×#487	—	2	2	no	—
14	C₅×#476	—	2	2	no	—
15	C₅×#476	—	2	2	no	—
16	C₂×C₅×#106	—	2	1	no	—
17	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
19	C₂×C₅×#103	—	2	2	no	—
20	C₂×C₅×#102	—	2	1	no	—
21	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
22	C₅×#399	—	2	2	no	—
23	C₅×#390	—	2	1	no	—
24	C₅×#384	—	2	1	no	—
25	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₅×#340	—	2	2	no	—
27	C₅×#332	—	2	2	no	—
28	C₅×D₄⋊C₈	—	2	2	no	—
29	#10060	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
30	C₂²×C₅×Q₈	—	2	1	no	—
31	C₂²×C₅×Q₈	—	2	1	no	—
32	C₂²×C₅×D₄	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₅	—	2	1	no	—
34	C₂²×C₅×C₈	—	2	1	no	—
35	C₂²×C₅×C₈	—	2	1	no	—
36	C₂²×C₅×C₈	—	2	1	no	—
37	C₅×C₄⋊Q₈	—	2	1	no	—
38	C₅×C₄⋊Q₈	—	2	1	no	—
39	C₅×C₄⋊Q₈	—	2	1	no	—
40	C₅×C₄⋊Q₈	—	2	1	no	—
41	C₅×C₄⋊Q₈	—	2	1	no	—
42	C₅×C₄⋊Q₈	—	2	1	no	—
43	C₅×C₄⋊Q₈	—	2	1	no	—
44	C₅×C₄⋊Q₈	D₄	1	2	yes	—
45	C₅×C₂²⋊Q₈	—	4	4	no	—
46	C₅×C₂²⋊Q₈	—	4	4	no	—
47	C₄×C₅×D₄	—	2	1	no	—
48	C₄×C₅×D₄	—	2	1	no	—
49	C₄×C₅×D₄	—	2	1	no	—
50	C₄×C₅×D₄	—	2	1	no	—
51	C₂×C₅×C₄⋊C₄	—	2	1	no	—
52	C₂×C₅×C₄⋊C₄	—	2	1	no	—
53	C₂×C₅×C₄⋊C₄	—	2	4	no	—
54	C₂×C₅×C₄⋊C₄	—	2	1	no	—
55	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
56	C₂×C₅×C₄⋊C₄	D₄	1	2	yes	—
57	C₂×C₅×C₄⋊C₄	D₄	1	2	yes	—
58	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
59	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
60	C₂×C₄²×C₅	—	2	1	no	—
61	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
62	C₅×#106	—	2	4	no	—
63	C₅×C₄⋊C₈	—	2	1	no	—
64	C₅×C₄⋊C₈	—	2	1	no	—
65	C₅×C₄⋊C₈	—	2	1	no	—
66	C₅×C₄⋊C₈	D₄	1	2	yes	—
67	C₅×#103	—	2	8	no	—
68	C₅×#102	—	2	4	no	—
69	C₄×C₅×C₈	—	2	1	no	—
70	C₄×C₅×C₈	D₄	1	2	yes	—
71	C₅×#95	—	2	1	no	—
72	C₂×#487	C₂×C₅	1	1	yes	characteristic, complemented
73	C₂×#476	C₂×C₅	1	1	yes	characteristic
74	#2542	C₂×C₅	1	1	yes	characteristic
75	#1987	C₂×C₅	1	1	yes	characteristic, complemented
76	C₂×#332	C₂×C₅	1	1	yes	characteristic, complemented
77	C₂×D₄⋊C₈	C₂×C₅	1	1	yes	characteristic
78	#1279	C₂×C₅	1	1	yes	characteristic, complemented
79	C₂⁴×C₅	—	2	1	no	—
80	C₂×C₅×Q₈	—	2	2	no	—
81	C₂×C₅×Q₈	—	4	4	no	—
82	C₂×C₅×Q₈	—	4	1	no	—
83	C₂×C₅×Q₈	—	4	1	no	—
84	C₂×C₅×Q₈	—	4	1	no	—
85	C₂×C₅×Q₈	—	4	2	no	—
86	C₂×C₅×Q₈	—	4	2	no	—
87	C₂×C₅×D₄	—	2	1	no	—
88	C₂×C₅×D₄	—	2	1	no	—
89	C₂×C₅×D₄	—	2	1	no	—
90	C₂×C₅×D₄	—	2	1	no	—
91	C₂×C₅×D₄	—	2	1	no	—
92	C₂×C₅×D₄	Q₁₆	1	2	yes	—
93	C₂²×C₄×C₅	—	2	2	no	—
94	C₂²×C₄×C₅	—	2	2	no	—
95	C₂²×C₄×C₅	—	2	1	no	—
96	C₂²×C₄×C₅	—	4	1	no	—
97	C₂²×C₄×C₅	—	4	1	no	—
98	C₂²×C₄×C₅	—	4	1	no	—
99	C₂²×C₄×C₅	—	4	2	no	—
100	C₂²×C₄×C₅	—	4	2	no	—
101	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
102	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
103	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
104	C₂×C₅×C₈	—	2	2	no	—
105	C₂×C₅×C₈	—	2	2	no	—
106	C₂×C₅×C₈	—	4	2	no	—
107	C₂×C₅×C₈	—	4	1	no	—
108	C₂×C₅×C₈	—	4	1	no	—
109	C₂×C₅×C₈	—	4	1	no	—
110	C₂×C₅×C₈	—	4	2	no	—
111	C₅×C₄⋊C₄	—	2	2	no	—
112	C₅×C₄⋊C₄	—	2	2	no	—
113	C₅×C₄⋊C₄	—	2	1	no	—
114	C₅×C₄⋊C₄	—	2	2	no	—
115	C₅×C₄⋊C₄	—	2	2	no	—
116	C₅×C₄⋊C₄	—	2	1	no	—
117	C₅×C₄⋊C₄	—	2	2	no	—
118	C₅×C₄⋊C₄	—	4	8	no	—
119	C₅×C₄⋊C₄	—	4	1	no	—
120	C₅×C₄⋊C₄	—	4	1	no	—
121	C₅×C₄⋊C₄	—	4	1	no	—
122	C₅×C₄⋊C₄	—	4	1	no	—
123	C₅×C₄⋊C₄	SD₁₆	1	4	yes	—
124	C₅×C₂²⋊C₄	—	4	8	no	—
125	C₅×C₂²⋊C₄	—	4	1	no	—
126	C₅×C₂²⋊C₄	—	4	1	no	—
127	C₄²×C₅	—	4	1	no	—
128	C₄²×C₅	—	4	1	no	—
129	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
130	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
131	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₅	#41	1	1	yes	characteristic
133	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
134	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
135	C₂×C₂²⋊Q₈	—	2	2	no	—
136	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
137	#487	—	2	2	no	—
138	#487	—	2	2	no	—
139	#476	—	2	2	no	—
140	#476	—	2	2	no	—
141	C₂×#106	—	2	1	no	—
142	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
143	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
144	C₂×#103	—	2	2	no	—
145	C₂×#102	—	2	1	no	—
146	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
147	#399	—	2	2	no	—
148	#390	—	2	1	no	—
149	#384	—	2	1	no	—
150	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
151	#340	—	2	2	no	—
152	#332	—	2	2	no	—
153	D₄⋊C₈	—	2	2	no	—
154	C₂³×C₅	—	2	2	no	—
155	C₂³×C₅	—	4	1	no	—
156	C₂³×C₅	—	4	2	no	—
157	C₂³×C₅	—	4	1	no	—
158	C₂³×C₅	—	4	2	no	—
159	C₂³×C₅	#120	1	1	yes	characteristic
160	C₅×Q₈	—	4	4	no	—
161	C₅×Q₈	—	8	2	no	—
162	C₅×Q₈	—	8	2	no	—
163	C₅×Q₈	—	8	1	no	—
164	C₅×Q₈	—	8	1	no	—
165	C₅×D₄	—	2	2	no	—
166	C₅×D₄	—	2	2	no	—
167	C₅×D₄	—	4	1	no	—
168	C₅×D₄	—	4	1	no	—
169	C₂×C₄×C₅	—	2	2	no	—
170	C₂×C₄×C₅	—	2	4	no	—
171	C₂×C₄×C₅	—	4	2	no	—
172	C₂×C₄×C₅	—	4	2	no	—
173	C₂×C₄×C₅	—	4	1	no	—
174	C₂×C₄×C₅	—	4	2	no	—
175	C₂×C₄×C₅	—	4	2	no	—
176	C₂×C₄×C₅	—	4	4	no	—
177	C₂×C₄×C₅	—	4	2	no	—
178	C₂×C₄×C₅	—	8	2	no	—
179	C₂×C₄×C₅	—	8	2	no	—
180	C₂×C₄×C₅	—	8	1	no	—
181	C₂×C₄×C₅	—	8	1	no	—
182	C₂×C₄×C₅	#120	1	1	yes	characteristic
183	C₂×C₄×C₅	#120	1	1	yes	characteristic
184	C₂×C₄×C₅	#121	1	1	yes	characteristic
185	C₂×C₄×C₅	#121	1	1	yes	characteristic
186	C₂×C₄×C₅	#121	1	1	yes	characteristic
187	C₂×C₄×C₅	#127	1	1	yes	characteristic
188	C₂×C₄×C₅	C₂×SD₁₆	1	2	yes	—
189	C₂×C₄×C₅	C₂×Q₁₆	1	1	yes	characteristic
190	C₂×C₄×C₅	#135	1	1	yes	characteristic
191	C₂×C₄×C₅	AGL(1,ℤ/8)	1	2	yes	—
192	C₂×C₄×C₅	#137	1	1	yes	characteristic
193	C₂×C₄×C₅	#137	1	1	yes	characteristic
194	C₅×C₈	—	4	2	no	—
195	C₅×C₈	—	4	2	no	—
196	C₅×C₈	—	8	1	no	—
197	C₂²×Q₈	—	2	1	no	—
198	C₂²×Q₈	—	2	1	no	—
199	C₂²×D₄	C₅×D₄	1	1	yes	characteristic
200	C₂³×C₄	—	2	1	no	—
201	C₂²×C₈	—	2	1	no	—
202	C₂²×C₈	—	2	1	no	—
203	C₂²×C₈	—	2	1	no	—
204	C₄⋊Q₈	—	2	1	no	—
205	C₄⋊Q₈	—	2	1	no	—
206	C₄⋊Q₈	—	2	1	no	—
207	C₄⋊Q₈	—	2	1	no	—
208	C₄⋊Q₈	—	2	1	no	—
209	C₄⋊Q₈	—	2	1	no	—
210	C₄⋊Q₈	—	2	1	no	—
211	C₄⋊Q₈	C₅×D₄	1	2	yes	—
212	C₂²⋊Q₈	—	4	4	no	—
213	C₂²⋊Q₈	—	4	4	no	—
214	C₄×D₄	—	2	1	no	—
215	C₄×D₄	—	2	1	no	—
216	C₄×D₄	—	2	1	no	—
217	C₄×D₄	—	2	1	no	—
218	C₂×C₄⋊C₄	—	2	1	no	—
219	C₂×C₄⋊C₄	—	2	1	no	—
220	C₂×C₄⋊C₄	—	2	4	no	—
221	C₂×C₄⋊C₄	—	2	1	no	—
222	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
223	C₂×C₄⋊C₄	C₅×D₄	1	2	yes	—
224	C₂×C₄⋊C₄	C₅×D₄	1	2	yes	—
225	C₂×C₂²⋊C₄	—	2	4	no	—
226	C₂×C₂²⋊C₄	—	2	1	no	—
227	C₂×C₄²	—	2	1	no	—
228	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
229	#106	—	2	4	no	—
230	C₄⋊C₈	—	2	1	no	—
231	C₄⋊C₈	—	2	1	no	—
232	C₄⋊C₈	—	2	1	no	—
233	C₄⋊C₈	C₅×D₄	1	2	yes	—
234	#103	—	2	8	no	—
235	#102	—	2	4	no	—
236	C₄×C₈	—	2	1	no	—
237	C₄×C₈	C₅×D₄	1	2	yes	—
238	#95	—	2	1	no	—
239	C₂²×C₅	—	4	4	no	—
240	C₂²×C₅	—	4	2	no	—
241	C₂²×C₅	—	8	2	no	—
242	C₂²×C₅	—	8	1	no	—
243	C₂²×C₅	—	8	1	no	—
244	C₂²×C₅	#392	1	1	yes	characteristic
245	C₂²×C₅	#450	1	2	yes	—
246	C₂²×C₅	#451	1	1	yes	characteristic
247	C₂²×C₅	#452	1	1	yes	characteristic
248	C₂²×C₅	#454	1	2	yes	—
249	C₄×C₅	—	2	1	no	—
250	C₄×C₅	—	2	1	no	—
251	C₄×C₅	—	4	4	no	—
252	C₄×C₅	—	8	2	no	—
253	C₄×C₅	—	8	1	no	—
254	C₄×C₅	—	8	2	no	—
255	C₄×C₅	#451	1	1	yes	characteristic
256	C₄×C₅	#452	1	1	yes	characteristic
257	C₄×C₅	#460	1	2	yes	—
258	C₄×C₅	#467	1	1	yes	characteristic
259	C₄×C₅	#470	1	1	yes	characteristic
260	C₄×C₅	#492	1	1	yes	characteristic
261	C₄×C₅	#496	1	1	yes	characteristic
262	C₂⁴	—	2	1	no	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×Q₈	—	4	4	no	—
265	C₂×Q₈	—	4	1	no	—
266	C₂×Q₈	—	4	1	no	—
267	C₂×Q₈	—	4	1	no	—
268	C₂×Q₈	—	4	2	no	—
269	C₂×Q₈	—	4	2	no	—
270	C₂×D₄	—	2	1	no	—
271	C₂×D₄	—	2	1	no	—
272	C₂×D₄	—	2	1	no	—
273	C₂×D₄	—	2	1	no	—
274	C₂×D₄	—	2	1	no	—
275	C₂×D₄	C₅×Q₁₆	1	2	yes	—
276	C₂²×C₄	—	2	2	no	—
277	C₂²×C₄	—	2	2	no	—
278	C₂²×C₄	—	2	1	no	—
279	C₂²×C₄	—	4	1	no	—
280	C₂²×C₄	—	4	1	no	—
281	C₂²×C₄	—	4	1	no	—
282	C₂²×C₄	—	4	2	no	—
283	C₂²×C₄	—	4	2	no	—
284	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
285	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
286	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
287	C₂×C₈	—	2	2	no	—
288	C₂×C₈	—	2	2	no	—
289	C₂×C₈	—	4	2	no	—
290	C₂×C₈	—	4	1	no	—
291	C₂×C₈	—	4	1	no	—
292	C₂×C₈	—	4	1	no	—
293	C₂×C₈	—	4	2	no	—
294	C₄⋊C₄	—	2	2	no	—
295	C₄⋊C₄	—	2	2	no	—
296	C₄⋊C₄	—	2	2	no	—
297	C₄⋊C₄	—	2	1	no	—
298	C₄⋊C₄	—	2	2	no	—
299	C₄⋊C₄	—	2	1	no	—
300	C₄⋊C₄	—	2	2	no	—
301	C₄⋊C₄	—	4	8	no	—
302	C₄⋊C₄	—	4	1	no	—
303	C₄⋊C₄	—	4	1	no	—
304	C₄⋊C₄	—	4	1	no	—
305	C₄⋊C₄	—	4	1	no	—
306	C₄⋊C₄	C₅×SD₁₆	1	4	yes	—
307	C₂²⋊C₄	—	4	8	no	—
308	C₂²⋊C₄	—	4	1	no	—
309	C₂²⋊C₄	—	4	1	no	—
310	C₄²	—	4	1	no	—
311	C₄²	—	4	1	no	—
312	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
313	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
314	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
315	C₄²	C₅×#41	1	1	yes	characteristic
316	C₂×C₅	—	8	2	no	—
317	C₂×C₅	#1635	1	2	yes	—
318	C₂×C₅	#1637	1	2	yes	—
319	C₂×C₅	#2001	1	1	yes	characteristic
320	C₂×C₅	#2003	1	1	yes	characteristic
321	C₂×C₅	#2014	1	1	yes	characteristic
322	C₂³	—	2	2	no	—
323	C₂³	—	4	1	no	—
324	C₂³	—	4	2	no	—
325	C₂³	—	4	1	no	—
326	C₂³	—	4	2	no	—
327	C₂³	C₅×#120	1	1	yes	characteristic
328	Q₈	—	4	4	no	—
329	Q₈	—	8	2	no	—
330	Q₈	—	8	2	no	—
331	Q₈	—	8	1	no	—
332	Q₈	—	8	1	no	—
333	D₄	—	2	2	no	—
334	D₄	—	2	2	no	—
335	D₄	—	4	1	no	—
336	D₄	—	4	1	no	—
337	C₂×C₄	—	2	2	no	—
338	C₂×C₄	—	2	4	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	—	4	2	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	2	no	—
343	C₂×C₄	—	4	2	no	—
344	C₂×C₄	—	4	4	no	—
345	C₂×C₄	—	4	2	no	—
346	C₂×C₄	—	8	2	no	—
347	C₂×C₄	—	8	2	no	—
348	C₂×C₄	—	8	1	no	—
349	C₂×C₄	—	8	1	no	—
350	C₂×C₄	C₅×#120	1	1	yes	characteristic
351	C₂×C₄	C₅×#120	1	1	yes	characteristic
352	C₂×C₄	C₅×#121	1	1	yes	characteristic
353	C₂×C₄	C₅×#121	1	1	yes	characteristic
354	C₂×C₄	C₅×#121	1	1	yes	characteristic
355	C₂×C₄	C₅×#127	1	1	yes	characteristic
356	C₂×C₄	C₂×C₅×SD₁₆	1	2	yes	—
357	C₂×C₄	C₂×C₅×Q₁₆	1	1	yes	characteristic
358	C₂×C₄	C₅×#135	1	1	yes	characteristic
359	C₂×C₄	C₅×AGL(1,ℤ/8)	1	2	yes	—
360	C₂×C₄	C₅×#137	1	1	yes	characteristic
361	C₂×C₄	C₅×#137	1	1	yes	characteristic
362	C₈	—	4	2	no	—
363	C₈	—	4	2	no	—
364	C₈	—	8	1	no	—
365	C₅	#10060	1	1	yes	characteristic, direct product factor, Sylow
366	C₂²	—	4	4	no	—
367	C₂²	—	4	2	no	—
368	C₂²	—	8	1	no	—
369	C₂²	—	8	2	no	—
370	C₂²	—	8	1	no	—
371	C₂²	C₅×#392	1	1	yes	characteristic
372	C₂²	C₅×#450	1	2	yes	—
373	C₂²	C₅×#451	1	1	yes	characteristic
374	C₂²	C₅×#452	1	1	yes	characteristic
375	C₂²	C₅×#454	1	2	yes	—
376	C₄	—	2	1	no	—
377	C₄	—	2	1	no	—
378	C₄	—	4	4	no	—
379	C₄	—	8	1	no	—
380	C₄	—	8	2	no	—
381	C₄	—	8	2	no	—
382	C₄	C₅×#451	1	1	yes	characteristic
383	C₄	C₅×#452	1	1	yes	characteristic
384	C₄	C₅×#460	1	2	yes	—
385	C₄	C₅×#467	1	1	yes	characteristic
386	C₄	C₅×#470	1	1	yes	characteristic
387	C₄	C₅×#492	1	1	yes	characteristic
388	C₄	C₅×#496	1	1	yes	characteristic
389	C₂	—	8	2	no	—
390	C₂	C₅×#1635	1	2	yes	—
391	C₂	C₅×#1637	1	2	yes	—
392	C₂	C₅×#2001	1	1	yes	characteristic
393	C₂	C₅×#2003	1	1	yes	characteristic
394	C₂	C₅×#2014	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	#120
commutator, Frattini, cosocle	C₂×C₄²	C₂³×C₅
prime radical	C₂²×C₅×D₄	D₄
LCS	G ▷ C₂×C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ C₂×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#487	C₂	semidirect
4. C₅×#1987	C₂	semidirect
5. C₂×C₅×#332	C₂	semidirect
7. C₅×#1279	C₂	semidirect
29. #10060	C₅	direct (N × H)
72. C₂×#487	C₂×C₅	semidirect
75. #1987	C₂×C₅	semidirect
76. C₂×#332	C₂×C₅	semidirect
78. #1279	C₂×C₅	semidirect
365. C₅	#10060	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×#487	2
C₂×C₅×#476	2
C₅×#2542	2
C₅×#1987	2
C₂×C₅×#332	2
C₂×C₅×D₄⋊C₈	2
C₅×#1279	2
#10060	5

Subgroups — C5×#10060 #11932780

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#10060 #11932780