Subgroups — C₅×#8014 #11930734

Order 1280.

850 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	C₂×C₅×#431	C₂	1	1	yes	maximal, characteristic
2	C₅×#2285	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×C₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
4	C₅×#1294	C₂	1	4	yes	maximal
5	C₂×C₅×#117	—	2	1	no	—
6	C₂²×C₅×C₄⋊C₄	—	2	1	no	—
7	C₂²×C₄²×C₅	—	2	1	no	—
8	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
9	C₅×#431	—	2	2	no	—
10	C₅×#431	C₄	1	4	yes	complemented
11	C₂×C₅×C₄⋊C₈	—	2	1	no	—
12	C₂×C₅×C₂²⋊C₈	C₂²	1	2	yes	—
13	C₂×C₄×C₅×C₈	—	2	1	no	—
14	C₅×#384	C₄	1	2	yes	complemented
15	C₅×#382	—	2	1	no	—
16	C₅×#380	—	2	1	no	—
17	C₅×#380	C₂²	1	2	yes	—
18	C₄×C₅×C₄⋊C₄	—	2	2	no	—
19	C₄×C₅×C₄⋊C₄	—	2	1	no	—
20	C₄×C₅×C₄⋊C₄	C₄	1	4	yes	complemented
21	C₄×C₅×C₄⋊C₄	C₄	1	2	yes	complemented
22	C₂×C₅×#95	C₂²	1	2	yes	—
23	#8014	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
24	C₂³×C₄×C₅	—	2	2	no	—
25	C₂³×C₄×C₅	D₄	1	1	yes	characteristic
26	C₂³×C₄×C₅	D₄	1	1	yes	characteristic
27	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
28	C₂²×C₅×C₈	—	2	2	no	—
29	C₅×#117	—	4	2	no	—
30	C₅×#117	—	4	2	no	—
31	C₂×C₅×C₄⋊C₄	—	2	8	no	—
32	C₂×C₅×C₄⋊C₄	—	2	4	no	—
33	C₂×C₅×C₄⋊C₄	—	2	2	no	—
34	C₂×C₅×C₄⋊C₄	—	2	2	no	—
35	C₂×C₅×C₄⋊C₄	C₂×C₄	1	4	yes	—
36	C₂×C₅×C₂²⋊C₄	—	2	2	no	—
37	C₂×C₄²×C₅	—	2	4	no	—
38	C₂×C₄²×C₅	—	2	2	no	—
39	C₂×C₄²×C₅	—	4	2	no	—
40	C₂×C₄²×C₅	—	4	2	no	—
41	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
42	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
43	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
44	C₂×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
45	C₂×C₄²×C₅	D₄	1	2	yes	—
46	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
47	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
48	C₂×C₄²×C₅	Q₈	1	2	yes	—
49	C₅×C₄⋊C₈	—	2	4	no	—
50	C₅×C₂²⋊C₈	—	2	2	no	—
51	C₅×C₂²⋊C₈	C₂×C₄	1	4	yes	—
52	C₄×C₅×C₈	—	2	4	no	—
53	C₅×#95	—	2	2	no	—
54	C₅×#95	—	2	2	no	—
55	C₅×#95	—	2	2	no	—
56	C₅×#95	C₂×C₄	1	4	yes	—
57	C₂×#431	C₂×C₅	1	1	yes	characteristic
58	#2285	C₂×C₅	1	1	yes	characteristic
59	C₂×C₄×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic
60	#1294	C₂×C₅	1	4	yes	—
61	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
62	C₂²×C₄×C₅	—	2	4	no	—
63	C₂²×C₄×C₅	—	2	8	no	—
64	C₂²×C₄×C₅	—	2	4	no	—
65	C₂²×C₄×C₅	—	2	4	no	—
66	C₂²×C₄×C₅	—	4	2	no	—
67	C₂²×C₄×C₅	—	4	4	no	—
68	C₂²×C₄×C₅	—	4	2	no	—
69	C₂²×C₄×C₅	—	4	2	no	—
70	C₂²×C₄×C₅	C₂²⋊C₄	1	2	yes	—
71	C₂²×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
72	C₂²×C₄×C₅	C₂²⋊C₄	1	2	yes	—
73	C₂²×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
74	C₂²×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
75	C₂²×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
76	C₂²×C₄×C₅	C₄⋊C₄	1	2	yes	—
77	C₂²×C₄×C₅	C₄⋊C₄	1	2	yes	—
78	C₂²×C₄×C₅	D₈	1	2	yes	—
79	C₂²×C₄×C₅	SD₁₆	1	2	yes	—
80	C₂²×C₄×C₅	SD₁₆	1	2	yes	—
81	C₂²×C₄×C₅	Q₁₆	1	2	yes	—
82	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
83	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
84	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
86	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
87	C₂²×C₄×C₅	C₂×Q₈	1	1	yes	characteristic
88	C₂×C₅×C₈	—	2	4	no	—
89	C₂×C₅×C₈	—	4	4	no	—
90	C₅×C₄⋊C₄	—	2	16	no	—
91	C₅×C₄⋊C₄	—	4	4	no	—
92	C₅×C₄⋊C₄	—	4	4	no	—
93	C₅×C₄⋊C₄	—	4	4	no	—
94	C₅×C₂²⋊C₄	—	4	2	no	—
95	C₅×C₂²⋊C₄	—	4	2	no	—
96	C₄²×C₅	—	4	8	no	—
97	C₄²×C₅	—	4	4	no	—
98	C₄²×C₅	C₄²	1	2	yes	—
99	C₄²×C₅	C₄²	1	2	yes	—
100	C₄²×C₅	C₂²⋊C₄	1	2	yes	—
101	C₄²×C₅	C₂²⋊C₄	1	2	yes	—
102	C₄²×C₅	C₄⋊C₄	1	2	yes	—
103	C₄²×C₅	C₄⋊C₄	1	2	yes	—
104	C₄²×C₅	C₄⋊C₄	1	2	yes	—
105	C₄²×C₅	C₄⋊C₄	1	2	yes	—
106	C₂×#117	—	2	1	no	—
107	C₂²×C₄⋊C₄	—	2	1	no	—
108	C₂²×C₄²	—	2	1	no	—
109	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
110	#431	—	2	2	no	—
111	#431	C₄×C₅	1	4	yes	complemented
112	C₂×C₄⋊C₈	—	2	1	no	—
113	C₂×C₂²⋊C₈	C₂²×C₅	1	2	yes	—
114	C₂×C₄×C₈	—	2	1	no	—
115	#384	C₄×C₅	1	2	yes	complemented
116	#382	—	2	1	no	—
117	#380	—	2	1	no	—
118	#380	C₂²×C₅	1	2	yes	—
119	C₄×C₄⋊C₄	—	2	2	no	—
120	C₄×C₄⋊C₄	—	2	1	no	—
121	C₄×C₄⋊C₄	C₄×C₅	1	2	yes	complemented
122	C₄×C₄⋊C₄	C₄×C₅	1	4	yes	complemented
123	C₂×#95	C₂²×C₅	1	2	yes	—
124	C₂³×C₅	—	2	2	no	—
125	C₂³×C₅	—	2	2	no	—
126	C₂³×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
127	C₂³×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
128	C₂³×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
129	C₂³×C₅	C₂×D₈	1	1	yes	characteristic
130	C₂³×C₅	C₂×SD₁₆	1	1	yes	characteristic
131	C₂³×C₅	C₂×SD₁₆	1	1	yes	characteristic
132	C₂³×C₅	C₂×Q₁₆	1	1	yes	characteristic
133	C₂×C₄×C₅	—	2	2	no	—
134	C₂×C₄×C₅	—	2	2	no	—
135	C₂×C₄×C₅	—	2	2	no	—
136	C₂×C₄×C₅	—	2	4	no	—
137	C₂×C₄×C₅	—	2	4	no	—
138	C₂×C₄×C₅	—	2	8	no	—
139	C₂×C₄×C₅	—	4	1	no	—
140	C₂×C₄×C₅	—	4	1	no	—
141	C₂×C₄×C₅	—	4	1	no	—
142	C₂×C₄×C₅	—	4	1	no	—
143	C₂×C₄×C₅	—	4	4	no	—
144	C₂×C₄×C₅	—	4	8	no	—
145	C₂×C₄×C₅	—	4	8	no	—
146	C₂×C₄×C₅	—	4	4	no	—
147	C₂×C₄×C₅	—	4	4	no	—
148	C₂×C₄×C₅	—	4	4	no	—
149	C₂×C₄×C₅	—	4	4	no	—
150	C₂×C₄×C₅	#95	1	2	yes	—
151	C₂×C₄×C₅	#95	1	2	yes	—
152	C₂×C₄×C₅	#95	1	2	yes	—
153	C₂×C₄×C₅	#95	1	2	yes	—
154	C₂×C₄×C₅	#102	1	4	yes	—
155	C₂×C₄×C₅	#102	1	2	yes	—
156	C₂×C₄×C₅	#102	1	2	yes	—
157	C₂×C₄×C₅	#103	1	4	yes	—
158	C₂×C₄×C₅	#103	1	2	yes	—
159	C₂×C₄×C₅	#103	1	2	yes	—
160	C₂×C₄×C₅	#104	1	4	yes	—
161	C₂×C₄×C₅	#106	1	4	yes	—
162	C₂×C₄×C₅	#107	1	4	yes	—
163	C₂×C₄×C₅	C₂×C₄²	1	1	yes	characteristic
164	C₂×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
165	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
166	C₂×C₄×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
167	C₅×C₈	—	4	4	no	—
168	C₂³×C₄	—	2	2	no	—
169	C₂³×C₄	C₅×D₄	1	1	yes	characteristic
170	C₂³×C₄	C₅×D₄	1	1	yes	characteristic
171	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
172	C₂²×C₈	—	2	2	no	—
173	#117	—	4	2	no	—
174	#117	—	4	2	no	—
175	C₂×C₄⋊C₄	—	2	8	no	—
176	C₂×C₄⋊C₄	—	2	4	no	—
177	C₂×C₄⋊C₄	—	2	2	no	—
178	C₂×C₄⋊C₄	—	2	2	no	—
179	C₂×C₄⋊C₄	C₂×C₄×C₅	1	4	yes	—
180	C₂×C₂²⋊C₄	—	2	2	no	—
181	C₂×C₄²	—	2	2	no	—
182	C₂×C₄²	—	2	4	no	—
183	C₂×C₄²	—	4	2	no	—
184	C₂×C₄²	—	4	2	no	—
185	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
186	C₂×C₄²	C₂×C₄×C₅	1	1	yes	characteristic
187	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
188	C₂×C₄²	C₂×C₄×C₅	1	1	yes	characteristic
189	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
190	C₂×C₄²	C₅×D₄	1	2	yes	—
191	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
192	C₂×C₄²	C₅×Q₈	1	2	yes	—
193	C₄⋊C₈	—	2	4	no	—
194	C₂²⋊C₈	—	2	2	no	—
195	C₂²⋊C₈	C₂×C₄×C₅	1	4	yes	—
196	C₄×C₈	—	2	4	no	—
197	#95	—	2	2	no	—
198	#95	—	2	2	no	—
199	#95	—	2	2	no	—
200	#95	C₂×C₄×C₅	1	4	yes	—
201	C₂²×C₅	—	2	1	no	—
202	C₂²×C₅	—	2	1	no	—
203	C₂²×C₅	—	2	1	no	—
204	C₂²×C₅	—	2	1	no	—
205	C₂²×C₅	—	2	2	no	—
206	C₂²×C₅	—	2	2	no	—
207	C₂²×C₅	—	2	2	no	—
208	C₂²×C₅	—	2	2	no	—
209	C₂²×C₅	C₂×#95	1	1	yes	characteristic
210	C₂²×C₅	#410	1	2	yes	—
211	C₂²×C₅	C₂×#102	1	1	yes	characteristic
212	C₂²×C₅	C₂×#102	1	1	yes	characteristic
213	C₂²×C₅	C₂×#103	1	1	yes	characteristic
214	C₂²×C₅	C₂×#103	1	1	yes	characteristic
215	C₂²×C₅	C₂×#104	1	2	yes	—
216	C₂²×C₅	C₂×#106	1	1	yes	characteristic
217	C₂²×C₅	C₂×#107	1	1	yes	characteristic
218	C₄×C₅	—	2	2	no	—
219	C₄×C₅	—	2	1	no	—
220	C₄×C₅	—	2	1	no	—
221	C₄×C₅	—	2	1	no	—
222	C₄×C₅	—	2	1	no	—
223	C₄×C₅	—	4	8	no	—
224	C₄×C₅	—	8	4	no	—
225	C₄×C₅	#339	1	4	yes	—
226	C₄×C₅	#340	1	4	yes	—
227	C₄×C₅	#340	1	4	yes	—
228	C₂⁴	C₂×C₅×D₄	1	1	yes	characteristic
229	C₂²×C₄	—	2	4	no	—
230	C₂²×C₄	—	2	8	no	—
231	C₂²×C₄	—	2	4	no	—
232	C₂²×C₄	—	2	4	no	—
233	C₂²×C₄	—	4	2	no	—
234	C₂²×C₄	—	4	4	no	—
235	C₂²×C₄	—	4	2	no	—
236	C₂²×C₄	—	4	2	no	—
237	C₂²×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
238	C₂²×C₄	C₅×C₂²⋊C₄	1	2	yes	—
239	C₂²×C₄	C₅×C₂²⋊C₄	1	2	yes	—
240	C₂²×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
241	C₂²×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
242	C₂²×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
243	C₂²×C₄	C₅×C₄⋊C₄	1	2	yes	—
244	C₂²×C₄	C₅×C₄⋊C₄	1	2	yes	—
245	C₂²×C₄	C₅×D₈	1	2	yes	—
246	C₂²×C₄	C₅×SD₁₆	1	2	yes	—
247	C₂²×C₄	C₅×SD₁₆	1	2	yes	—
248	C₂²×C₄	C₅×Q₁₆	1	2	yes	—
249	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
250	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
251	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
252	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
253	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
254	C₂²×C₄	C₂×C₅×Q₈	1	1	yes	characteristic
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	—	4	4	no	—
257	C₄⋊C₄	—	2	16	no	—
258	C₄⋊C₄	—	4	4	no	—
259	C₄⋊C₄	—	4	4	no	—
260	C₄⋊C₄	—	4	4	no	—
261	C₂²⋊C₄	—	4	2	no	—
262	C₂²⋊C₄	—	4	2	no	—
263	C₄²	—	4	8	no	—
264	C₄²	—	4	4	no	—
265	C₄²	C₄²×C₅	1	2	yes	—
266	C₄²	C₄²×C₅	1	2	yes	—
267	C₄²	C₅×C₂²⋊C₄	1	2	yes	—
268	C₄²	C₅×C₂²⋊C₄	1	2	yes	—
269	C₄²	C₅×C₄⋊C₄	1	2	yes	—
270	C₄²	C₅×C₄⋊C₄	1	2	yes	—
271	C₄²	C₅×C₄⋊C₄	1	2	yes	—
272	C₄²	C₅×C₄⋊C₄	1	2	yes	—
273	C₂×C₅	—	2	1	no	—
274	C₂×C₅	—	2	1	no	—
275	C₂×C₅	—	2	1	no	—
276	C₂×C₅	—	2	1	no	—
277	C₂×C₅	#1502	1	2	yes	—
278	C₂×C₅	#1503	1	2	yes	—
279	C₂×C₅	C₂×#339	1	1	yes	characteristic
280	C₂×C₅	C₂×#340	1	1	yes	characteristic
281	C₂×C₅	#1740	1	1	yes	characteristic
282	C₂³	—	2	2	no	—
283	C₂³	—	2	2	no	—
284	C₂³	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
285	C₂³	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
286	C₂³	C₂×C₅×C₄⋊C₄	1	1	yes	characteristic
287	C₂³	C₂×C₅×D₈	1	1	yes	characteristic
288	C₂³	C₂×C₅×SD₁₆	1	1	yes	characteristic
289	C₂³	C₂×C₅×SD₁₆	1	1	yes	characteristic
290	C₂³	C₂×C₅×Q₁₆	1	1	yes	characteristic
291	C₂×C₄	—	2	2	no	—
292	C₂×C₄	—	2	2	no	—
293	C₂×C₄	—	2	2	no	—
294	C₂×C₄	—	2	4	no	—
295	C₂×C₄	—	2	4	no	—
296	C₂×C₄	—	2	8	no	—
297	C₂×C₄	—	4	1	no	—
298	C₂×C₄	—	4	1	no	—
299	C₂×C₄	—	4	1	no	—
300	C₂×C₄	—	4	1	no	—
301	C₂×C₄	—	4	8	no	—
302	C₂×C₄	—	4	8	no	—
303	C₂×C₄	—	4	4	no	—
304	C₂×C₄	—	4	4	no	—
305	C₂×C₄	—	4	4	no	—
306	C₂×C₄	—	4	4	no	—
307	C₂×C₄	—	4	4	no	—
308	C₂×C₄	C₅×#95	1	2	yes	—
309	C₂×C₄	C₅×#95	1	2	yes	—
310	C₂×C₄	C₅×#95	1	2	yes	—
311	C₂×C₄	C₅×#95	1	2	yes	—
312	C₂×C₄	C₅×#102	1	4	yes	—
313	C₂×C₄	C₅×#102	1	2	yes	—
314	C₂×C₄	C₅×#102	1	2	yes	—
315	C₂×C₄	C₅×#103	1	4	yes	—
316	C₂×C₄	C₅×#103	1	2	yes	—
317	C₂×C₄	C₅×#103	1	2	yes	—
318	C₂×C₄	C₅×#104	1	4	yes	—
319	C₂×C₄	C₅×#106	1	4	yes	—
320	C₂×C₄	C₅×#107	1	4	yes	—
321	C₂×C₄	C₂×C₄²×C₅	1	1	yes	characteristic
322	C₂×C₄	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
323	C₂×C₄	C₂×C₅×C₄⋊C₄	1	1	yes	characteristic
324	C₂×C₄	C₂×C₅×C₄⋊C₄	1	1	yes	characteristic
325	C₈	—	4	4	no	—
326	C₅	#8014	1	1	yes	characteristic, direct product factor, Sylow
327	C₂²	—	2	2	no	—
328	C₂²	—	2	2	no	—
329	C₂²	—	2	2	no	—
330	C₂²	—	2	2	no	—
331	C₂²	—	2	1	no	—
332	C₂²	—	2	1	no	—
333	C₂²	—	2	1	no	—
334	C₂²	—	2	1	no	—
335	C₂²	C₂×C₅×#95	1	1	yes	characteristic
336	C₂²	C₅×#410	1	2	yes	—
337	C₂²	C₂×C₅×#102	1	1	yes	characteristic
338	C₂²	C₂×C₅×#102	1	1	yes	characteristic
339	C₂²	C₂×C₅×#103	1	1	yes	characteristic
340	C₂²	C₂×C₅×#103	1	1	yes	characteristic
341	C₂²	C₂×C₅×#104	1	2	yes	—
342	C₂²	C₂×C₅×#106	1	1	yes	characteristic
343	C₂²	C₂×C₅×#107	1	1	yes	characteristic
344	C₄	—	2	2	no	—
345	C₄	—	2	1	no	—
346	C₄	—	2	1	no	—
347	C₄	—	2	1	no	—
348	C₄	—	2	1	no	—
349	C₄	—	4	8	no	—
350	C₄	—	8	4	no	—
351	C₄	C₅×#339	1	4	yes	—
352	C₄	C₅×#340	1	4	yes	—
353	C₄	C₅×#340	1	4	yes	—
354	C₂	—	2	1	no	—
355	C₂	—	2	1	no	—
356	C₂	—	2	1	no	—
357	C₂	—	2	1	no	—
358	C₂	C₅×#1502	1	2	yes	—
359	C₂	C₅×#1503	1	2	yes	—
360	C₂	C₂×C₅×#339	1	1	yes	characteristic
361	C₂	C₂×C₅×#340	1	1	yes	characteristic
362	C₂	C₅×#1740	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₅	C₂²⋊C₄
commutator	C₂×C₄	C₂×C₄²×C₅
Frattini, cosocle	C₂³×C₄	C₂³×C₅
socle	C₂³×C₅	C₂×C₂²⋊C₄
prime radical	C₂⁴×C₅	C₂×D₄
LCS	G ▷ C₂×C₄ ▷ C₂² ▷ 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
10. C₅×#431	C₄	semidirect
14. C₅×#384	C₄	semidirect
20. C₄×C₅×C₄⋊C₄	C₄	semidirect
21. C₄×C₅×C₄⋊C₄	C₄	semidirect
23. #8014	C₅	direct (N × H)
111. #431	C₄×C₅	semidirect
115. #384	C₄×C₅	semidirect
121. C₄×C₄⋊C₄	C₄×C₅	semidirect
122. C₄×C₄⋊C₄	C₄×C₅	semidirect
326. C₅	#8014	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×#431	2
C₅×#2285	2
C₂×C₄×C₅×C₄⋊C₄	2
C₅×#1294	2
#8014	5

Subgroups — C5×#8014 #11930734

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#8014 #11930734