Subgroups — C₅×#10064 #11932784

Order 1280.

614 conjugacy classes of subgroups.

The subgroup lattice has 404 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×#461	C₂	1	1	yes	maximal, characteristic
3	C₅×#2563	C₂	1	1	yes	maximal, characteristic
4	C₅×#1988	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#333	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	C₂²×C₅×SD₁₆	—	2	1	no	—
9	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
10	C₂×C₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
11	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
12	C₅×#487	—	2	2	no	—
13	C₅×#487	—	2	2	no	—
14	C₅×#461	—	2	2	no	—
15	C₅×#461	—	2	2	no	—
16	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
18	C₂×C₅×#103	—	2	2	no	—
19	C₂×C₅×#103	—	2	1	no	—
20	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
21	C₅×#393	—	2	2	no	—
22	C₅×#390	—	2	1	no	—
23	C₅×#382	—	2	1	no	—
24	C₅×#380	—	2	2	no	—
25	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₅×#340	—	2	2	no	—
27	C₅×#333	—	2	2	no	—
28	C₅×D₄⋊C₈	—	2	2	no	—
29	#10064	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
30	C₂²×C₅×Q₈	—	2	1	no	—
31	C₂²×C₅×Q₈	D₄	1	2	yes	—
32	C₂²×C₅×D₄	D₄	1	1	yes	characteristic
33	C₂³×C₄×C₅	—	2	1	no	—
34	C₂×C₅×SD₁₆	—	2	4	no	—
35	C₂×C₅×SD₁₆	—	4	2	no	—
36	C₂×C₅×SD₁₆	—	4	2	no	—
37	C₂²×C₅×C₈	—	2	1	no	—
38	C₂²×C₅×C₈	—	2	1	no	—
39	C₂²×C₅×C₈	—	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	—	2	1	no	—
45	C₅×C₄⋊Q₈	—	2	1	no	—
46	C₅×C₄⋊Q₈	—	2	1	no	—
47	C₅×C₄⋊Q₈	D₄	1	2	yes	—
48	C₄×C₅×D₄	—	2	1	no	—
49	C₄×C₅×D₄	—	2	1	no	—
50	C₄×C₅×D₄	—	2	1	no	—
51	C₄×C₅×D₄	—	2	1	no	—
52	C₂×C₅×C₄⋊C₄	—	2	1	no	—
53	C₂×C₅×C₄⋊C₄	—	2	1	no	—
54	C₂×C₅×C₄⋊C₄	—	2	1	no	—
55	C₂×C₅×C₄⋊C₄	—	2	1	no	—
56	C₂×C₅×C₄⋊C₄	D₄	1	2	yes	—
57	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
58	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
59	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
60	C₂×C₄²×C₅	—	2	1	no	—
61	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
62	C₅×C₄⋊C₈	—	2	1	no	—
63	C₅×C₄⋊C₈	—	2	1	no	—
64	C₅×C₄⋊C₈	—	2	1	no	—
65	C₅×C₄⋊C₈	D₄	1	2	yes	—
66	C₅×#103	—	2	4	no	—
67	C₅×#103	—	2	8	no	—
68	C₄×C₅×C₈	—	2	1	no	—
69	C₄×C₅×C₈	D₄	1	2	yes	—
70	C₅×#95	—	2	4	no	—
71	C₅×#95	—	2	1	no	—
72	C₂×#487	C₂×C₅	1	1	yes	characteristic, complemented
73	C₂×#461	C₂×C₅	1	1	yes	characteristic
74	#2563	C₂×C₅	1	1	yes	characteristic
75	#1988	C₂×C₅	1	1	yes	characteristic, complemented
76	C₂×#333	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	—	2	2	no	—
82	C₂×C₅×Q₈	—	2	2	no	—
83	C₂×C₅×Q₈	—	4	4	no	—
84	C₂×C₅×Q₈	—	4	1	no	—
85	C₂×C₅×Q₈	—	4	1	no	—
86	C₂×C₅×Q₈	—	4	1	no	—
87	C₂×C₅×Q₈	—	4	1	no	—
88	C₂×C₅×Q₈	—	4	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	—	2	1	no	—
93	C₂×C₅×D₄	—	2	1	no	—
94	C₂×C₅×D₄	SD₁₆	1	2	yes	—
95	C₂²×C₄×C₅	—	2	2	no	—
96	C₂²×C₄×C₅	—	2	2	no	—
97	C₂²×C₄×C₅	—	2	1	no	—
98	C₂²×C₄×C₅	—	4	1	no	—
99	C₂²×C₄×C₅	—	4	1	no	—
100	C₂²×C₄×C₅	—	4	1	no	—
101	C₂²×C₄×C₅	—	4	2	no	—
102	C₂²×C₄×C₅	—	4	2	no	—
103	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
104	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
106	C₅×SD₁₆	—	4	8	no	—
107	C₂×C₅×C₈	—	2	2	no	—
108	C₂×C₅×C₈	—	2	2	no	—
109	C₂×C₅×C₈	—	4	2	no	—
110	C₂×C₅×C₈	—	4	1	no	—
111	C₂×C₅×C₈	—	4	1	no	—
112	C₂×C₅×C₈	—	4	1	no	—
113	C₂×C₅×C₈	—	4	2	no	—
114	C₅×C₄⋊C₄	—	2	2	no	—
115	C₅×C₄⋊C₄	—	2	1	no	—
116	C₅×C₄⋊C₄	—	2	2	no	—
117	C₅×C₄⋊C₄	—	2	1	no	—
118	C₅×C₄⋊C₄	—	2	2	no	—
119	C₅×C₄⋊C₄	—	2	2	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	—	4	1	no	—
124	C₅×C₄⋊C₄	—	4	1	no	—
125	C₅×C₄⋊C₄	—	4	1	no	—
126	C₅×C₂²⋊C₄	—	4	1	no	—
127	C₅×C₂²⋊C₄	—	4	1	no	—
128	C₅×C₂²⋊C₄	—	8	4	no	—
129	C₄²×C₅	—	4	1	no	—
130	C₄²×C₅	—	4	1	no	—
131	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
132	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
133	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
134	C₄²×C₅	#41	1	1	yes	characteristic
135	C₂²×SD₁₆	—	2	1	no	—
136	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
137	C₂×C₄⋊Q₈	C₂²×C₅	1	1	yes	characteristic
138	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
139	#487	—	2	2	no	—
140	#487	—	2	2	no	—
141	#461	—	2	2	no	—
142	#461	—	2	2	no	—
143	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
144	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
145	C₂×#103	—	2	2	no	—
146	C₂×#103	—	2	1	no	—
147	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
148	#393	—	2	2	no	—
149	#390	—	2	1	no	—
150	#382	—	2	1	no	—
151	#380	—	2	2	no	—
152	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
153	#340	—	2	2	no	—
154	#333	—	2	2	no	—
155	D₄⋊C₈	—	2	2	no	—
156	C₂³×C₅	—	2	2	no	—
157	C₂³×C₅	—	4	1	no	—
158	C₂³×C₅	—	4	1	no	—
159	C₂³×C₅	—	4	2	no	—
160	C₂³×C₅	—	4	2	no	—
161	C₂³×C₅	#120	1	1	yes	characteristic
162	C₅×Q₈	—	4	4	no	—
163	C₅×Q₈	—	4	2	no	—
164	C₅×Q₈	—	4	2	no	—
165	C₅×Q₈	—	8	2	no	—
166	C₅×Q₈	—	8	1	no	—
167	C₅×Q₈	—	8	1	no	—
168	C₅×D₄	—	2	2	no	—
169	C₅×D₄	—	2	2	no	—
170	C₅×D₄	—	4	1	no	—
171	C₅×D₄	—	4	1	no	—
172	C₂×C₄×C₅	—	2	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	2	no	—
177	C₂×C₄×C₅	—	4	2	no	—
178	C₂×C₄×C₅	—	4	2	no	—
179	C₂×C₄×C₅	—	4	2	no	—
180	C₂×C₄×C₅	—	4	4	no	—
181	C₂×C₄×C₅	—	8	1	no	—
182	C₂×C₄×C₅	—	8	1	no	—
183	C₂×C₄×C₅	—	8	2	no	—
184	C₂×C₄×C₅	—	8	1	no	—
185	C₂×C₄×C₅	—	8	1	no	—
186	C₂×C₄×C₅	#120	1	1	yes	characteristic
187	C₂×C₄×C₅	#120	1	1	yes	characteristic
188	C₂×C₄×C₅	#121	1	1	yes	characteristic
189	C₂×C₄×C₅	#121	1	1	yes	characteristic
190	C₂×C₄×C₅	#121	1	1	yes	characteristic
191	C₂×C₄×C₅	#127	1	1	yes	characteristic
192	C₂×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
193	C₂×C₄×C₅	#135	1	1	yes	characteristic
194	C₂×C₄×C₅	#135	1	2	yes	—
195	C₂×C₄×C₅	AGL(1,ℤ/8)	1	1	yes	characteristic
196	C₂×C₄×C₅	#137	1	1	yes	characteristic
197	C₂×C₄×C₅	#137	1	2	yes	—
198	C₅×C₈	—	4	2	no	—
199	C₅×C₈	—	4	2	no	—
200	C₅×C₈	—	8	1	no	—
201	C₂²×Q₈	—	2	1	no	—
202	C₂²×Q₈	C₅×D₄	1	2	yes	—
203	C₂²×D₄	C₅×D₄	1	1	yes	characteristic
204	C₂³×C₄	—	2	1	no	—
205	C₂×SD₁₆	—	2	4	no	—
206	C₂×SD₁₆	—	4	2	no	—
207	C₂×SD₁₆	—	4	2	no	—
208	C₂²×C₈	—	2	1	no	—
209	C₂²×C₈	—	2	1	no	—
210	C₂²×C₈	—	2	1	no	—
211	C₄⋊Q₈	—	2	1	no	—
212	C₄⋊Q₈	—	2	1	no	—
213	C₄⋊Q₈	—	2	1	no	—
214	C₄⋊Q₈	—	2	1	no	—
215	C₄⋊Q₈	—	2	1	no	—
216	C₄⋊Q₈	—	2	1	no	—
217	C₄⋊Q₈	—	2	1	no	—
218	C₄⋊Q₈	C₅×D₄	1	2	yes	—
219	C₄×D₄	—	2	1	no	—
220	C₄×D₄	—	2	1	no	—
221	C₄×D₄	—	2	1	no	—
222	C₄×D₄	—	2	1	no	—
223	C₂×C₄⋊C₄	—	2	1	no	—
224	C₂×C₄⋊C₄	—	2	1	no	—
225	C₂×C₄⋊C₄	—	2	1	no	—
226	C₂×C₄⋊C₄	—	2	1	no	—
227	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
228	C₂×C₄⋊C₄	C₅×D₄	1	2	yes	—
229	C₂×C₂²⋊C₄	—	2	1	no	—
230	C₂×C₂²⋊C₄	—	2	4	no	—
231	C₂×C₄²	—	2	1	no	—
232	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
233	C₄⋊C₈	—	2	1	no	—
234	C₄⋊C₈	—	2	1	no	—
235	C₄⋊C₈	—	2	1	no	—
236	C₄⋊C₈	C₅×D₄	1	2	yes	—
237	#103	—	2	4	no	—
238	#103	—	2	8	no	—
239	C₄×C₈	—	2	1	no	—
240	C₄×C₈	C₅×D₄	1	2	yes	—
241	#95	—	2	4	no	—
242	#95	—	2	1	no	—
243	C₂²×C₅	—	4	4	no	—
244	C₂²×C₅	—	4	2	no	—
245	C₂²×C₅	—	8	2	no	—
246	C₂²×C₅	—	8	1	no	—
247	C₂²×C₅	—	8	1	no	—
248	C₂²×C₅	#392	1	1	yes	characteristic
249	C₂²×C₅	#448	1	1	yes	characteristic
250	C₂²×C₅	#449	1	1	yes	characteristic
251	C₂²×C₅	#452	1	2	yes	—
252	C₂²×C₅	#455	1	2	yes	—
253	C₄×C₅	—	2	1	no	—
254	C₄×C₅	—	2	1	no	—
255	C₄×C₅	—	8	2	no	—
256	C₄×C₅	—	8	2	no	—
257	C₄×C₅	—	8	2	no	—
258	C₄×C₅	—	8	1	no	—
259	C₄×C₅	#450	1	1	yes	characteristic
260	C₄×C₅	#452	1	1	yes	characteristic
261	C₄×C₅	#464	1	2	yes	—
262	C₄×C₅	#465	1	1	yes	characteristic
263	C₄×C₅	#468	1	1	yes	characteristic
264	C₄×C₅	#495	1	1	yes	characteristic
265	C₄×C₅	#497	1	1	yes	characteristic
266	C₂⁴	—	2	1	no	—
267	C₂×Q₈	—	2	2	no	—
268	C₂×Q₈	—	2	2	no	—
269	C₂×Q₈	—	2	2	no	—
270	C₂×Q₈	—	4	4	no	—
271	C₂×Q₈	—	4	1	no	—
272	C₂×Q₈	—	4	1	no	—
273	C₂×Q₈	—	4	1	no	—
274	C₂×Q₈	—	4	1	no	—
275	C₂×Q₈	—	4	1	no	—
276	C₂×D₄	—	2	1	no	—
277	C₂×D₄	—	2	1	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	—	2	1	no	—
281	C₂×D₄	C₅×SD₁₆	1	2	yes	—
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	—	2	2	no	—
285	C₂²×C₄	—	4	1	no	—
286	C₂²×C₄	—	4	1	no	—
287	C₂²×C₄	—	4	1	no	—
288	C₂²×C₄	—	4	2	no	—
289	C₂²×C₄	—	4	2	no	—
290	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
291	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
292	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
293	SD₁₆	—	4	8	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	2	2	no	—
296	C₂×C₈	—	4	2	no	—
297	C₂×C₈	—	4	1	no	—
298	C₂×C₈	—	4	1	no	—
299	C₂×C₈	—	4	1	no	—
300	C₂×C₈	—	4	2	no	—
301	C₄⋊C₄	—	2	2	no	—
302	C₄⋊C₄	—	2	1	no	—
303	C₄⋊C₄	—	2	2	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	—	2	2	no	—
307	C₄⋊C₄	—	4	1	no	—
308	C₄⋊C₄	—	4	1	no	—
309	C₄⋊C₄	—	4	1	no	—
310	C₄⋊C₄	—	4	1	no	—
311	C₄⋊C₄	—	4	1	no	—
312	C₄⋊C₄	—	4	1	no	—
313	C₂²⋊C₄	—	4	1	no	—
314	C₂²⋊C₄	—	4	1	no	—
315	C₂²⋊C₄	—	8	4	no	—
316	C₄²	—	4	1	no	—
317	C₄²	—	4	1	no	—
318	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
319	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
320	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
321	C₄²	C₅×#41	1	1	yes	characteristic
322	C₂×C₅	—	8	2	no	—
323	C₂×C₅	#1643	1	2	yes	—
324	C₂×C₅	#1646	1	2	yes	—
325	C₂×C₅	#2000	1	1	yes	characteristic
326	C₂×C₅	#2004	1	1	yes	characteristic
327	C₂×C₅	#2015	1	1	yes	characteristic
328	C₂³	—	2	2	no	—
329	C₂³	—	4	1	no	—
330	C₂³	—	4	1	no	—
331	C₂³	—	4	2	no	—
332	C₂³	—	4	2	no	—
333	C₂³	C₅×#120	1	1	yes	characteristic
334	Q₈	—	4	4	no	—
335	Q₈	—	4	2	no	—
336	Q₈	—	4	2	no	—
337	Q₈	—	8	2	no	—
338	Q₈	—	8	1	no	—
339	Q₈	—	8	1	no	—
340	D₄	—	2	2	no	—
341	D₄	—	2	2	no	—
342	D₄	—	4	1	no	—
343	D₄	—	4	1	no	—
344	C₂×C₄	—	2	2	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	2	no	—
347	C₂×C₄	—	4	2	no	—
348	C₂×C₄	—	4	2	no	—
349	C₂×C₄	—	4	2	no	—
350	C₂×C₄	—	4	2	no	—
351	C₂×C₄	—	4	2	no	—
352	C₂×C₄	—	4	4	no	—
353	C₂×C₄	—	8	1	no	—
354	C₂×C₄	—	8	1	no	—
355	C₂×C₄	—	8	2	no	—
356	C₂×C₄	—	8	1	no	—
357	C₂×C₄	—	8	1	no	—
358	C₂×C₄	C₅×#120	1	1	yes	characteristic
359	C₂×C₄	C₅×#120	1	1	yes	characteristic
360	C₂×C₄	C₅×#121	1	1	yes	characteristic
361	C₂×C₄	C₅×#121	1	1	yes	characteristic
362	C₂×C₄	C₅×#121	1	1	yes	characteristic
363	C₂×C₄	C₅×#127	1	1	yes	characteristic
364	C₂×C₄	C₂×C₅×SD₁₆	1	1	yes	characteristic
365	C₂×C₄	C₅×#135	1	1	yes	characteristic
366	C₂×C₄	C₅×#135	1	2	yes	—
367	C₂×C₄	C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
368	C₂×C₄	C₅×#137	1	1	yes	characteristic
369	C₂×C₄	C₅×#137	1	2	yes	—
370	C₈	—	4	2	no	—
371	C₈	—	4	2	no	—
372	C₈	—	8	1	no	—
373	C₅	#10064	1	1	yes	characteristic, direct product factor, Sylow
374	C₂²	—	4	4	no	—
375	C₂²	—	4	2	no	—
376	C₂²	—	8	1	no	—
377	C₂²	—	8	2	no	—
378	C₂²	—	8	1	no	—
379	C₂²	C₅×#392	1	1	yes	characteristic
380	C₂²	C₅×#448	1	1	yes	characteristic
381	C₂²	C₅×#449	1	1	yes	characteristic
382	C₂²	C₅×#452	1	2	yes	—
383	C₂²	C₅×#455	1	2	yes	—
384	C₄	—	2	1	no	—
385	C₄	—	2	1	no	—
386	C₄	—	8	1	no	—
387	C₄	—	8	2	no	—
388	C₄	—	8	2	no	—
389	C₄	—	8	2	no	—
390	C₄	C₅×#450	1	1	yes	characteristic
391	C₄	C₅×#452	1	1	yes	characteristic
392	C₄	C₅×#464	1	2	yes	—
393	C₄	C₅×#465	1	1	yes	characteristic
394	C₄	C₅×#468	1	1	yes	characteristic
395	C₄	C₅×#495	1	1	yes	characteristic
396	C₄	C₅×#497	1	1	yes	characteristic
397	C₂	—	8	2	no	—
398	C₂	C₅×#1643	1	2	yes	—
399	C₂	C₅×#1646	1	2	yes	—
400	C₂	C₅×#2000	1	1	yes	characteristic
401	C₂	C₅×#2004	1	1	yes	characteristic
402	C₂	C₅×#2015	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×#1988	C₂	semidirect
5. C₂×C₅×#333	C₂	semidirect
7. C₅×#1279	C₂	semidirect
29. #10064	C₅	direct (N × H)
72. C₂×#487	C₂×C₅	semidirect
75. #1988	C₂×C₅	semidirect
76. C₂×#333	C₂×C₅	semidirect
78. #1279	C₂×C₅	semidirect
373. C₅	#10064	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×#461	2
C₅×#2563	2
C₅×#1988	2
C₂×C₅×#333	2
C₂×C₅×D₄⋊C₈	2
C₅×#1279	2
#10064	5

Subgroups — C5×#10064 #11932784

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#10064 #11932784