Subgroups — C₅×#20521 #11943241

Order 1280.

866 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#446	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×C₈×Q₈	C₂	1	1	yes	maximal, characteristic
3	C₅×#2295	C₂	1	1	yes	maximal, characteristic
4	C₅×#1771	C₂	1	2	yes	maximal
5	C₅×#1770	C₂	1	1	yes	maximal, characteristic
6	C₅×#1770	C₂	1	2	yes	maximal
7	C₅×C₈×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
8	C₅×#1768	C₂	1	2	yes	maximal
9	C₄×C₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
10	C₅×#1726	C₂	1	2	yes	maximal
11	C₄×C₅×#97	C₂	1	1	yes	maximal, characteristic
12	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
13	C₅×#446	C₄	1	8	yes	complemented
14	C₅×C₈×Q₈	C₄	1	8	yes	complemented
15	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
16	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₅×C₄⋊C₈	C₂²	1	2	yes	—
18	C₂×C₅×C₄⋊C₈	C₂²	1	2	yes	—
19	C₂×C₅×#97	C₂²	1	1	yes	characteristic
20	C₂×C₅×#97	C₂²	1	1	yes	characteristic
21	C₂×C₅×#97	C₂²	1	2	yes	—
22	C₂×C₅×#97	C₂²	1	1	yes	characteristic
23	C₂×C₅×#97	C₂²	1	2	yes	—
24	C₂×C₅×#97	C₂²	1	1	yes	characteristic
25	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
26	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
27	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
28	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
29	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
30	C₅×#391	C₄	1	2	yes	—
31	C₅×#389	C₄	1	2	yes	—
32	C₅×#387	C₄	1	4	yes	—
33	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₄×C₅×C₄⋊C₄	C₂²	1	2	yes	—
35	C₅×#376	C₂²	1	2	yes	—
36	C₄³×C₅	C₂²	1	1	yes	characteristic
37	C₅×#336	C₂²	1	2	yes	—
38	C₅×#336	C₂²	1	2	yes	—
39	C₅×#336	C₂²	1	2	yes	—
40	#20521	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
41	C₂²×C₅×Q₈	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₅×C₈	C₂³	1	2	yes	—
43	C₂²×C₅×C₈	C₂³	1	2	yes	—
44	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
45	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
46	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
47	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
48	C₄×C₅×Q₈	C₂×C₄	1	4	yes	—
49	C₄×C₅×Q₈	C₂×C₄	1	4	yes	—
50	C₂×C₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
51	C₂×C₅×C₄⋊C₄	C₂×C₄	1	4	yes	—
52	C₂×C₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
53	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
54	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
55	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
56	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
57	C₂×C₄²×C₅	C₂³	1	2	yes	—
58	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
59	C₂×C₄²×C₅	C₂³	1	2	yes	—
60	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
61	C₅×C₄⋊C₈	C₂×C₄	1	4	yes	—
62	C₅×C₄⋊C₈	C₂×C₄	1	8	yes	—
63	C₅×C₄⋊C₈	C₂×C₄	1	4	yes	—
64	C₅×C₄⋊C₈	C₂×C₄	1	8	yes	—
65	C₅×#97	—	2	2	no	—
66	C₅×#97	—	2	2	no	—
67	C₅×#97	—	2	4	no	—
68	C₅×#97	—	2	2	no	—
69	C₅×#97	C₂×C₄	1	8	yes	—
70	C₅×#97	Q₈	1	4	yes	complemented
71	C₄×C₅×C₈	—	2	4	no	—
72	C₄×C₅×C₈	—	2	4	no	—
73	C₄×C₅×C₈	C₂×C₄	1	4	yes	—
74	C₄×C₅×C₈	C₂×C₄	1	8	yes	—
75	C₄×C₅×C₈	C₂×C₄	1	4	yes	—
76	C₅×#95	C₂×C₄	1	4	yes	—
77	C₅×#95	C₂×C₄	1	4	yes	—
78	C₅×#95	C₂×C₄	1	2	yes	—
79	C₅×#95	C₂×C₄	1	4	yes	—
80	C₂×#446	C₂×C₅	1	1	yes	characteristic
81	C₂×C₈×Q₈	C₂×C₅	1	1	yes	characteristic
82	#2295	C₂×C₅	1	1	yes	characteristic
83	#1771	C₂×C₅	1	2	yes	—
84	#1770	C₂×C₅	1	2	yes	—
85	#1770	C₂×C₅	1	1	yes	characteristic
86	C₈×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic
87	#1768	C₂×C₅	1	2	yes	—
88	C₄×C₄⋊C₈	C₂×C₅	1	1	yes	characteristic
89	#1726	C₂×C₅	1	2	yes	—
90	C₄×#97	C₂×C₅	1	1	yes	characteristic
91	C₂×C₅×Q₈	—	2	4	no	—
92	C₂×C₅×Q₈	C₄²	1	4	yes	—
93	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
94	C₂²×C₄×C₅	C₂²×C₄	1	4	yes	—
95	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
96	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
97	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
98	C₂²×C₄×C₅	C₂²×C₄	1	2	yes	—
99	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
100	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
101	C₂×C₅×C₈	—	2	2	no	—
102	C₂×C₅×C₈	—	2	2	no	—
103	C₂×C₅×C₈	—	2	2	no	—
104	C₂×C₅×C₈	—	2	2	no	—
105	C₂×C₅×C₈	—	2	1	no	—
106	C₂×C₅×C₈	—	2	1	no	—
107	C₂×C₅×C₈	—	2	1	no	—
108	C₂×C₅×C₈	—	2	1	no	—
109	C₂×C₅×C₈	C₂²×C₄	1	4	yes	—
110	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
111	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
112	C₂×C₅×C₈	C₂²×C₄	1	4	yes	—
113	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
114	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
115	C₂×C₅×C₈	C₂×Q₈	1	2	yes	—
116	C₂×C₅×C₈	C₂×Q₈	1	2	yes	—
117	C₂×C₅×C₈	#41	1	2	yes	—
118	C₂×C₅×C₈	#41	1	2	yes	—
119	C₅×C₄⋊C₄	—	2	4	no	—
120	C₅×C₄⋊C₄	—	4	4	no	—
121	C₅×C₄⋊C₄	C₄²	1	8	yes	—
122	C₅×C₄⋊C₄	C₄²	1	4	yes	—
123	C₄²×C₅	—	2	4	no	—
124	C₄²×C₅	—	2	2	no	—
125	C₄²×C₅	—	2	1	no	—
126	C₄²×C₅	—	2	1	no	—
127	C₄²×C₅	—	2	2	no	—
128	C₄²×C₅	—	4	2	no	—
129	C₄²×C₅	C₂²×C₄	1	4	yes	—
130	C₄²×C₅	C₂²×C₄	1	2	yes	—
131	C₄²×C₅	C₂²×C₄	1	2	yes	—
132	C₄²×C₅	C₂²×C₄	1	4	yes	—
133	C₄²×C₅	C₂×Q₈	1	2	yes	—
134	C₄²×C₅	#41	1	2	yes	—
135	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
136	#446	C₄×C₅	1	8	yes	complemented
137	C₈×Q₈	C₄×C₅	1	8	yes	complemented
138	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
139	C₂×C₄⋊C₈	C₂²×C₅	1	2	yes	—
140	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
141	C₂×C₄⋊C₈	C₂²×C₅	1	2	yes	—
142	C₂×#97	C₂²×C₅	1	1	yes	characteristic
143	C₂×#97	C₂²×C₅	1	1	yes	characteristic
144	C₂×#97	C₂²×C₅	1	1	yes	characteristic
145	C₂×#97	C₂²×C₅	1	2	yes	—
146	C₂×#97	C₂²×C₅	1	2	yes	—
147	C₂×#97	C₂²×C₅	1	1	yes	characteristic
148	C₂×C₄×C₈	C₂²×C₅	1	2	yes	—
149	C₂×C₄×C₈	C₂²×C₅	1	2	yes	—
150	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
151	C₂×C₄×C₈	C₂²×C₅	1	2	yes	—
152	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
153	#391	C₄×C₅	1	2	yes	—
154	#389	C₄×C₅	1	2	yes	—
155	#387	C₄×C₅	1	4	yes	—
156	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
157	C₄×C₄⋊C₄	C₂²×C₅	1	2	yes	—
158	#376	C₂²×C₅	1	2	yes	—
159	C₄³	C₂²×C₅	1	1	yes	characteristic
160	#336	C₂²×C₅	1	2	yes	—
161	#336	C₂²×C₅	1	2	yes	—
162	#336	C₂²×C₅	1	2	yes	—
163	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
164	C₅×Q₈	—	2	8	no	—
165	C₂×C₄×C₅	—	2	2	no	—
166	C₂×C₄×C₅	—	2	4	no	—
167	C₂×C₄×C₅	—	2	2	no	—
168	C₂×C₄×C₅	—	2	2	no	—
169	C₂×C₄×C₅	—	2	4	no	—
170	C₂×C₄×C₅	—	2	4	no	—
171	C₂×C₄×C₅	—	2	2	no	—
172	C₂×C₄×C₅	—	2	2	no	—
173	C₂×C₄×C₅	—	2	4	no	—
174	C₂×C₄×C₅	—	2	2	no	—
175	C₂×C₄×C₅	—	2	4	no	—
176	C₂×C₄×C₅	C₂×C₄²	1	2	yes	—
177	C₂×C₄×C₅	C₂×C₄²	1	4	yes	—
178	C₂×C₄×C₅	C₂×C₄²	1	4	yes	—
179	C₂×C₄×C₅	C₂×C₄²	1	2	yes	—
180	C₂×C₄×C₅	C₄×Q₈	1	4	yes	—
181	C₂×C₄×C₅	#131	1	4	yes	—
182	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
183	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
184	C₂×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
185	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
186	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
187	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
188	C₅×C₈	—	2	4	no	—
189	C₅×C₈	—	2	4	no	—
190	C₅×C₈	—	2	2	no	—
191	C₅×C₈	—	2	2	no	—
192	C₅×C₈	C₄×Q₈	1	4	yes	—
193	C₅×C₈	C₄×Q₈	1	4	yes	—
194	C₂²×Q₈	C₂×C₄×C₅	1	1	yes	characteristic
195	C₂²×C₈	C₂³×C₅	1	2	yes	—
196	C₂²×C₈	C₂³×C₅	1	2	yes	—
197	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
198	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
199	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
200	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
201	C₄×Q₈	C₂×C₄×C₅	1	4	yes	—
202	C₄×Q₈	C₂×C₄×C₅	1	4	yes	—
203	C₂×C₄⋊C₄	C₂×C₄×C₅	1	2	yes	—
204	C₂×C₄⋊C₄	C₂×C₄×C₅	1	4	yes	—
205	C₂×C₄⋊C₄	C₂×C₄×C₅	1	2	yes	—
206	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
207	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
208	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
209	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
210	C₂×C₄²	C₂³×C₅	1	2	yes	—
211	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
212	C₂×C₄²	C₂³×C₅	1	2	yes	—
213	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
214	C₄⋊C₈	C₂×C₄×C₅	1	4	yes	—
215	C₄⋊C₈	C₂×C₄×C₅	1	8	yes	—
216	C₄⋊C₈	C₂×C₄×C₅	1	4	yes	—
217	C₄⋊C₈	C₂×C₄×C₅	1	8	yes	—
218	#97	—	2	2	no	—
219	#97	—	2	2	no	—
220	#97	—	2	4	no	—
221	#97	—	2	2	no	—
222	#97	C₂×C₄×C₅	1	8	yes	—
223	#97	C₅×Q₈	1	4	yes	complemented
224	C₄×C₈	—	2	4	no	—
225	C₄×C₈	—	2	4	no	—
226	C₄×C₈	C₂×C₄×C₅	1	4	yes	—
227	C₄×C₈	C₂×C₄×C₅	1	8	yes	—
228	C₄×C₈	C₂×C₄×C₅	1	4	yes	—
229	#95	C₂×C₄×C₅	1	4	yes	—
230	#95	C₂×C₄×C₅	1	4	yes	—
231	#95	C₂×C₄×C₅	1	2	yes	—
232	#95	C₂×C₄×C₅	1	4	yes	—
233	C₂²×C₅	C₂²×C₄²	1	1	yes	characteristic
234	C₂²×C₅	C₂×C₄×Q₈	1	1	yes	characteristic
235	C₂²×C₅	C₄×#41	1	1	yes	characteristic
236	C₂²×C₅	C₂×#131	1	2	yes	—
237	C₂²×C₅	#568	1	2	yes	—
238	C₄×C₅	—	2	4	no	—
239	C₄×C₅	—	2	2	no	—
240	C₄×C₅	—	2	4	no	—
241	C₄×C₅	—	2	4	no	—
242	C₄×C₅	—	4	2	no	—
243	C₄×C₅	—	4	4	no	—
244	C₄×C₅	#405	1	4	yes	—
245	C₄×C₅	C₂×C₄×Q₈	1	1	yes	characteristic
246	C₄×C₅	C₂×C₄×Q₈	1	1	yes	characteristic
247	C₄×C₅	C₄×#41	1	1	yes	characteristic
248	C₄×C₅	C₄×#41	1	1	yes	characteristic
249	C₂×Q₈	—	2	4	no	—
250	C₂×Q₈	C₄²×C₅	1	4	yes	—
251	C₂²×C₄	C₂²×C₄×C₅	1	4	yes	—
252	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
253	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
254	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
255	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
256	C₂²×C₄	C₂²×C₄×C₅	1	2	yes	—
257	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
258	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
259	C₂×C₈	—	2	2	no	—
260	C₂×C₈	—	2	2	no	—
261	C₂×C₈	—	2	2	no	—
262	C₂×C₈	—	2	2	no	—
263	C₂×C₈	—	2	1	no	—
264	C₂×C₈	—	2	1	no	—
265	C₂×C₈	—	2	1	no	—
266	C₂×C₈	—	2	1	no	—
267	C₂×C₈	C₂²×C₄×C₅	1	4	yes	—
268	C₂×C₈	C₂²×C₄×C₅	1	2	yes	—
269	C₂×C₈	C₂²×C₄×C₅	1	2	yes	—
270	C₂×C₈	C₂²×C₄×C₅	1	4	yes	—
271	C₂×C₈	C₂²×C₄×C₅	1	2	yes	—
272	C₂×C₈	C₂²×C₄×C₅	1	2	yes	—
273	C₂×C₈	C₂×C₅×Q₈	1	2	yes	—
274	C₂×C₈	C₂×C₅×Q₈	1	2	yes	—
275	C₂×C₈	C₅×#41	1	2	yes	—
276	C₂×C₈	C₅×#41	1	2	yes	—
277	C₄⋊C₄	—	2	4	no	—
278	C₄⋊C₄	—	4	4	no	—
279	C₄⋊C₄	C₄²×C₅	1	8	yes	—
280	C₄⋊C₄	C₄²×C₅	1	4	yes	—
281	C₄²	—	2	4	no	—
282	C₄²	—	2	2	no	—
283	C₄²	—	2	1	no	—
284	C₄²	—	2	1	no	—
285	C₄²	—	2	2	no	—
286	C₄²	—	4	2	no	—
287	C₄²	C₂²×C₄×C₅	1	4	yes	—
288	C₄²	C₂²×C₄×C₅	1	2	yes	—
289	C₄²	C₂²×C₄×C₅	1	2	yes	—
290	C₄²	C₂²×C₄×C₅	1	4	yes	—
291	C₄²	C₂×C₅×Q₈	1	2	yes	—
292	C₄²	C₅×#41	1	2	yes	—
293	C₂×C₅	C₄²×Q₈	1	1	yes	characteristic
294	C₂×C₅	C₂×#405	1	1	yes	characteristic
295	C₂×C₅	#2875	1	1	yes	characteristic
296	C₂×C₅	#2962	1	2	yes	—
297	C₂×C₅	#2969	1	2	yes	—
298	C₂³	C₂³×C₄×C₅	1	1	yes	characteristic
299	Q₈	—	2	8	no	—
300	C₂×C₄	—	2	2	no	—
301	C₂×C₄	—	2	4	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	2	4	no	—
305	C₂×C₄	—	2	4	no	—
306	C₂×C₄	—	2	2	no	—
307	C₂×C₄	—	2	2	no	—
308	C₂×C₄	—	2	4	no	—
309	C₂×C₄	—	2	2	no	—
310	C₂×C₄	—	2	4	no	—
311	C₂×C₄	C₂×C₄²×C₅	1	2	yes	—
312	C₂×C₄	C₂×C₄²×C₅	1	4	yes	—
313	C₂×C₄	C₂×C₄²×C₅	1	4	yes	—
314	C₂×C₄	C₂×C₄²×C₅	1	2	yes	—
315	C₂×C₄	C₄×C₅×Q₈	1	4	yes	—
316	C₂×C₄	C₅×#131	1	4	yes	—
317	C₂×C₄	C₂³×C₄×C₅	1	1	yes	characteristic
318	C₂×C₄	C₂³×C₄×C₅	1	1	yes	characteristic
319	C₂×C₄	C₂²×C₅×Q₈	1	1	yes	characteristic
320	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
321	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
322	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
323	C₈	—	2	4	no	—
324	C₈	—	2	4	no	—
325	C₈	—	2	2	no	—
326	C₈	—	2	2	no	—
327	C₈	C₄×C₅×Q₈	1	4	yes	—
328	C₈	C₄×C₅×Q₈	1	4	yes	—
329	C₅	#20521	1	1	yes	characteristic, direct product factor, Sylow
330	C₂²	C₂²×C₄²×C₅	1	1	yes	characteristic
331	C₂²	C₂×C₄×C₅×Q₈	1	1	yes	characteristic
332	C₂²	C₄×C₅×#41	1	1	yes	characteristic
333	C₂²	C₂×C₅×#131	1	2	yes	—
334	C₂²	C₅×#568	1	2	yes	—
335	C₄	—	2	4	no	—
336	C₄	—	2	2	no	—
337	C₄	—	2	4	no	—
338	C₄	—	2	4	no	—
339	C₄	—	4	2	no	—
340	C₄	—	4	4	no	—
341	C₄	C₅×#405	1	4	yes	—
342	C₄	C₂×C₄×C₅×Q₈	1	1	yes	characteristic
343	C₄	C₂×C₄×C₅×Q₈	1	1	yes	characteristic
344	C₄	C₄×C₅×#41	1	1	yes	characteristic
345	C₄	C₄×C₅×#41	1	1	yes	characteristic
346	C₂	C₄²×C₅×Q₈	1	1	yes	characteristic
347	C₂	C₂×C₅×#405	1	1	yes	characteristic
348	C₂	C₅×#2875	1	1	yes	characteristic
349	C₂	C₅×#2962	1	2	yes	—
350	C₂	C₅×#2969	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₅	C₂⁴
commutator	C₂²	C₂²×C₄²×C₅
Frattini, cosocle	C₂²×C₄	C₂⁴×C₅
socle, prime radical	C₂³×C₅	C₂³×C₄
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
13. C₅×#446	C₄	semidirect
14. C₅×C₈×Q₈	C₄	semidirect
40. #20521	C₅	direct (N × H)
70. C₅×#97	Q₈	semidirect
136. #446	C₄×C₅	semidirect
137. C₈×Q₈	C₄×C₅	semidirect
223. #97	C₅×Q₈	semidirect
329. C₅	#20521	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×#446	2
C₂×C₅×C₈×Q₈	2
C₅×#2295	2
C₅×#1771	2
C₅×#1770	2
C₅×C₈×C₄⋊C₄	2
C₅×#1768	2
C₄×C₅×C₄⋊C₈	2
C₅×#1726	2
C₄×C₅×#97	2
#20521	5

Subgroups — C5×#20521 #11943241

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#20521 #11943241