Subgroups — C₅×#23122 #11945842

Order 1280.

950 conjugacy classes of subgroups.

The subgroup lattice has 746 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#436	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×C₈×D₄	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2392	C₂	1	1	yes	maximal, characteristic
4	C₅×#1924	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1923	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#1916	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#1916	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#1870	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#1870	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#1869	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#1869	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#1753	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×C₈×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#1750	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#1729	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₅×M₁₆	C₂²	1	1	yes	characteristic
17	C₂²×C₅×M₁₆	C₂²	1	1	yes	characteristic
18	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
19	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
20	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
21	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
22	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
23	C₂×C₅×#117	C₂²	1	1	yes	characteristic
24	C₅×#436	—	2	4	no	—
25	C₅×C₈×D₄	—	2	4	no	—
26	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
27	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
28	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
29	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
30	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
31	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
32	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
33	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
34	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
35	C₂×C₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
36	C₂×C₅×#97	C₂²	1	1	yes	characteristic
37	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
40	C₅×#398	C₄	1	1	yes	characteristic
41	C₅×#397	C₄	1	1	yes	characteristic
42	C₅×#396	C₄	1	1	yes	characteristic
43	C₅×#396	C₄	1	1	yes	characteristic
44	C₅×#394	C₄	1	1	yes	characteristic
45	C₅×#394	C₄	1	1	yes	characteristic
46	C₅×#394	C₄	1	1	yes	characteristic
47	C₅×#392	C₄	1	1	yes	characteristic
48	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
50	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
51	C₅×#336	C₂²	1	1	yes	characteristic
52	C₅×#336	C₂²	1	1	yes	characteristic
53	C₅×#336	C₂²	1	1	yes	characteristic
54	C₅×#336	C₂²	1	1	yes	characteristic
55	C₅×#336	C₂²	1	1	yes	characteristic
56	C₅×#336	C₂²	1	1	yes	characteristic
57	C₅×#336	C₂²	1	1	yes	characteristic
58	C₅×#336	C₂²	1	1	yes	characteristic
59	C₅×#336	C₂²	1	1	yes	characteristic
60	C₅×#336	C₂²	1	1	yes	characteristic
61	#23122	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
62	C₂²×C₅×D₄	C₂×C₄	1	1	yes	characteristic
63	C₂²×C₅×D₄	C₂×C₄	1	1	yes	characteristic
64	C₂²×C₅×D₄	C₂×C₄	1	1	yes	characteristic
65	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
66	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
67	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
68	C₂×C₅×M₁₆	—	2	2	no	—
69	C₂×C₅×M₁₆	—	2	2	no	—
70	C₂×C₅×M₁₆	—	2	2	no	—
71	C₂×C₅×M₁₆	—	2	2	no	—
72	C₂×C₅×M₁₆	—	4	1	no	—
73	C₂×C₅×M₁₆	—	4	1	no	—
74	C₂²×C₅×C₈	—	2	2	no	—
75	C₂²×C₅×C₈	—	2	2	no	—
76	C₂²×C₅×C₈	—	2	2	no	—
77	C₂²×C₅×C₈	—	2	2	no	—
78	C₂²×C₅×C₈	—	4	1	no	—
79	C₂²×C₅×C₈	—	4	1	no	—
80	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
81	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
82	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
83	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
84	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
85	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
86	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
87	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
88	C₄×C₅×D₄	—	2	2	no	—
89	C₄×C₅×D₄	—	2	2	no	—
90	C₄×C₅×D₄	—	2	2	no	—
91	C₄×C₅×D₄	—	2	2	no	—
92	C₄×C₅×D₄	—	4	1	no	—
93	C₄×C₅×D₄	—	4	1	no	—
94	C₅×#117	—	4	1	no	—
95	C₅×#117	—	4	1	no	—
96	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
97	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
98	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
99	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
100	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
101	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
102	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
103	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
104	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
105	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
106	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
107	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
108	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
109	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
110	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
111	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
112	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
113	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
114	C₂×C₅×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
115	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
116	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
117	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
118	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
119	C₅×C₄⋊C₈	—	2	2	no	—
120	C₅×C₄⋊C₈	—	2	2	no	—
121	C₅×C₂²⋊C₈	—	2	2	no	—
122	C₅×C₂²⋊C₈	—	2	2	no	—
123	C₅×C₂²⋊C₈	—	2	2	no	—
124	C₅×C₂²⋊C₈	—	2	2	no	—
125	C₅×C₂²⋊C₈	—	2	2	no	—
126	C₅×C₂²⋊C₈	—	4	1	no	—
127	C₅×C₂²⋊C₈	—	4	1	no	—
128	C₅×C₂²⋊C₈	D₄	1	4	yes	complemented
129	C₅×#97	—	4	1	no	—
130	C₄×C₅×C₈	—	2	2	no	—
131	C₄×C₅×C₈	—	2	2	no	—
132	C₄×C₅×C₈	—	4	1	no	—
133	C₅×#95	C₂×C₄	1	1	yes	characteristic
134	C₅×#95	C₂×C₄	1	1	yes	characteristic
135	C₅×#95	C₂×C₄	1	1	yes	characteristic
136	C₅×#95	C₂×C₄	1	1	yes	characteristic
137	C₅×#95	C₂×C₄	1	1	yes	characteristic
138	C₅×#95	C₂×C₄	1	1	yes	characteristic
139	C₂×#436	C₂×C₅	1	1	yes	characteristic, complemented
140	C₂×C₈×D₄	C₂×C₅	1	1	yes	characteristic, complemented
141	#2392	C₂×C₅	1	1	yes	characteristic
142	#1924	C₂×C₅	1	1	yes	characteristic, complemented
143	#1923	C₂×C₅	1	1	yes	characteristic, complemented
144	#1916	C₂×C₅	1	1	yes	characteristic, complemented
145	#1916	C₂×C₅	1	1	yes	characteristic, complemented
146	#1870	C₂×C₅	1	1	yes	characteristic, complemented
147	#1870	C₂×C₅	1	1	yes	characteristic, complemented
148	#1869	C₂×C₅	1	1	yes	characteristic, complemented
149	#1869	C₂×C₅	1	1	yes	characteristic, complemented
150	#1753	C₂×C₅	1	1	yes	characteristic, complemented
151	C₈×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
152	#1750	C₂×C₅	1	1	yes	characteristic, complemented
153	#1729	C₂×C₅	1	1	yes	characteristic, complemented
154	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
155	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
156	C₂⁴×C₅	C₂²×C₄	1	1	yes	characteristic
157	C₂×C₅×D₄	—	2	2	no	—
158	C₂×C₅×D₄	—	2	2	no	—
159	C₂×C₅×D₄	—	2	2	no	—
160	C₂×C₅×D₄	—	2	2	no	—
161	C₂×C₅×D₄	—	2	2	no	—
162	C₂×C₅×D₄	—	2	2	no	—
163	C₂×C₅×D₄	—	4	1	no	—
164	C₂×C₅×D₄	—	4	1	no	—
165	C₂×C₅×D₄	—	4	1	no	—
166	C₂²×C₄×C₅	—	2	1	no	—
167	C₂²×C₄×C₅	—	2	1	no	—
168	C₂²×C₄×C₅	—	2	1	no	—
169	C₂²×C₄×C₅	—	2	1	no	—
170	C₂²×C₄×C₅	—	2	1	no	—
171	C₂²×C₄×C₅	—	2	1	no	—
172	C₂²×C₄×C₅	—	2	1	no	—
173	C₂²×C₄×C₅	—	2	1	no	—
174	C₂²×C₄×C₅	—	2	1	no	—
175	C₂²×C₄×C₅	—	2	1	no	—
176	C₂²×C₄×C₅	—	2	1	no	—
177	C₂²×C₄×C₅	—	2	1	no	—
178	C₂²×C₄×C₅	—	2	1	no	—
179	C₂²×C₄×C₅	—	2	1	no	—
180	C₂²×C₄×C₅	—	2	1	no	—
181	C₂²×C₄×C₅	—	2	1	no	—
182	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
183	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
184	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
185	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
186	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
187	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
188	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
189	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
190	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
191	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
192	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
193	C₂²×C₄×C₅	C₂×D₄	1	2	yes	—
194	C₂²×C₄×C₅	#41	1	2	yes	—
195	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
196	C₅×M₁₆	—	4	4	no	—
197	C₅×M₁₆	—	4	4	no	—
198	C₂×C₅×C₈	—	2	1	no	—
199	C₂×C₅×C₈	—	2	1	no	—
200	C₂×C₅×C₈	—	2	1	no	—
201	C₂×C₅×C₈	—	2	1	no	—
202	C₂×C₅×C₈	—	2	1	no	—
203	C₂×C₅×C₈	—	2	1	no	—
204	C₂×C₅×C₈	—	2	1	no	—
205	C₂×C₅×C₈	—	2	1	no	—
206	C₂×C₅×C₈	—	2	1	no	—
207	C₂×C₅×C₈	—	2	1	no	—
208	C₂×C₅×C₈	—	2	1	no	—
209	C₂×C₅×C₈	—	2	1	no	—
210	C₂×C₅×C₈	—	2	1	no	—
211	C₂×C₅×C₈	—	2	1	no	—
212	C₂×C₅×C₈	—	2	1	no	—
213	C₂×C₅×C₈	—	2	1	no	—
214	C₂×C₅×C₈	—	2	1	no	—
215	C₂×C₅×C₈	—	2	1	no	—
216	C₂×C₅×C₈	—	2	1	no	—
217	C₂×C₅×C₈	—	2	1	no	—
218	C₂×C₅×C₈	—	4	4	no	—
219	C₂×C₅×C₈	—	4	4	no	—
220	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
221	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
222	C₂×C₅×C₈	#41	1	2	yes	—
223	C₂×C₅×C₈	#41	1	2	yes	—
224	C₅×C₄⋊C₄	—	2	2	no	—
225	C₅×C₄⋊C₄	—	2	2	no	—
226	C₅×C₄⋊C₄	—	2	2	no	—
227	C₅×C₄⋊C₄	—	2	2	no	—
228	C₅×C₄⋊C₄	—	4	1	no	—
229	C₅×C₄⋊C₄	—	4	1	no	—
230	C₅×C₄⋊C₄	—	4	1	no	—
231	C₅×C₂²⋊C₄	—	2	2	no	—
232	C₅×C₂²⋊C₄	—	2	2	no	—
233	C₅×C₂²⋊C₄	—	2	2	no	—
234	C₅×C₂²⋊C₄	—	2	2	no	—
235	C₅×C₂²⋊C₄	—	2	2	no	—
236	C₅×C₂²⋊C₄	—	2	2	no	—
237	C₅×C₂²⋊C₄	—	2	2	no	—
238	C₅×C₂²⋊C₄	—	4	1	no	—
239	C₅×C₂²⋊C₄	—	4	1	no	—
240	C₅×C₂²⋊C₄	—	4	1	no	—
241	C₅×C₂²⋊C₄	—	4	1	no	—
242	C₅×C₂²⋊C₄	—	4	1	no	—
243	C₄²×C₅	—	2	1	no	—
244	C₄²×C₅	—	2	1	no	—
245	C₄²×C₅	—	2	1	no	—
246	C₄²×C₅	—	2	1	no	—
247	C₄²×C₅	—	2	1	no	—
248	C₄²×C₅	—	2	1	no	—
249	C₄²×C₅	—	2	1	no	—
250	C₄²×C₅	—	2	1	no	—
251	C₂²×M₁₆	C₂²×C₅	1	1	yes	characteristic
252	C₂²×M₁₆	C₂²×C₅	1	1	yes	characteristic
253	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
254	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
255	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
256	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
257	C₂×C₄×D₄	C₂²×C₅	1	1	yes	characteristic
258	C₂×#117	C₂²×C₅	1	1	yes	characteristic
259	#436	—	2	4	no	—
260	C₈×D₄	—	2	4	no	—
261	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
262	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
263	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
264	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
265	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
266	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
267	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
268	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
269	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
270	C₂×C₂²⋊C₈	C₂²×C₅	1	1	yes	characteristic
271	C₂×#97	C₂²×C₅	1	1	yes	characteristic
272	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
273	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
274	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
275	#398	C₄×C₅	1	1	yes	characteristic
276	#397	C₄×C₅	1	1	yes	characteristic
277	#396	C₄×C₅	1	1	yes	characteristic
278	#396	C₄×C₅	1	1	yes	characteristic
279	#394	C₄×C₅	1	1	yes	characteristic
280	#394	C₄×C₅	1	1	yes	characteristic
281	#394	C₄×C₅	1	1	yes	characteristic
282	#392	C₄×C₅	1	1	yes	characteristic
283	C₄×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
284	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
285	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
286	#336	C₂²×C₅	1	1	yes	characteristic
287	#336	C₂²×C₅	1	1	yes	characteristic
288	#336	C₂²×C₅	1	1	yes	characteristic
289	#336	C₂²×C₅	1	1	yes	characteristic
290	#336	C₂²×C₅	1	1	yes	characteristic
291	#336	C₂²×C₅	1	1	yes	characteristic
292	#336	C₂²×C₅	1	1	yes	characteristic
293	#336	C₂²×C₅	1	1	yes	characteristic
294	#336	C₂²×C₅	1	1	yes	characteristic
295	#336	C₂²×C₅	1	1	yes	characteristic
296	C₂³×C₅	—	2	1	no	—
297	C₂³×C₅	—	2	1	no	—
298	C₂³×C₅	—	2	1	no	—
299	C₂³×C₅	—	2	1	no	—
300	C₂³×C₅	—	2	1	no	—
301	C₂³×C₅	—	2	1	no	—
302	C₂³×C₅	—	2	1	no	—
303	C₂³×C₅	—	2	1	no	—
304	C₂³×C₅	—	2	1	no	—
305	C₂³×C₅	—	2	1	no	—
306	C₂³×C₅	—	2	1	no	—
307	C₂³×C₅	—	2	1	no	—
308	C₂³×C₅	—	2	1	no	—
309	C₂³×C₅	—	2	1	no	—
310	C₂³×C₅	—	2	1	no	—
311	C₂³×C₅	—	2	1	no	—
312	C₂³×C₅	—	2	1	no	—
313	C₂³×C₅	—	2	1	no	—
314	C₂³×C₅	—	2	1	no	—
315	C₂³×C₅	C₄×D₄	1	2	yes	—
316	C₂³×C₅	#131	1	2	yes	—
317	C₂³×C₅	C₂³×C₄	1	1	yes	characteristic
318	C₅×D₄	—	2	8	no	—
319	C₅×D₄	—	4	4	no	—
320	C₅×D₄	—	4	4	no	—
321	C₂×C₄×C₅	—	2	1	no	—
322	C₂×C₄×C₅	—	2	1	no	—
323	C₂×C₄×C₅	—	2	1	no	—
324	C₂×C₄×C₅	—	2	1	no	—
325	C₂×C₄×C₅	—	2	1	no	—
326	C₂×C₄×C₅	—	2	1	no	—
327	C₂×C₄×C₅	—	2	2	no	—
328	C₂×C₄×C₅	—	2	2	no	—
329	C₂×C₄×C₅	—	2	2	no	—
330	C₂×C₄×C₅	—	2	2	no	—
331	C₂×C₄×C₅	—	2	1	no	—
332	C₂×C₄×C₅	—	2	1	no	—
333	C₂×C₄×C₅	—	2	1	no	—
334	C₂×C₄×C₅	—	2	1	no	—
335	C₂×C₄×C₅	—	2	1	no	—
336	C₂×C₄×C₅	—	2	1	no	—
337	C₂×C₄×C₅	—	2	1	no	—
338	C₂×C₄×C₅	—	2	1	no	—
339	C₂×C₄×C₅	—	2	1	no	—
340	C₂×C₄×C₅	—	2	1	no	—
341	C₂×C₄×C₅	—	2	1	no	—
342	C₂×C₄×C₅	—	2	1	no	—
343	C₂×C₄×C₅	—	2	1	no	—
344	C₂×C₄×C₅	—	2	1	no	—
345	C₂×C₄×C₅	—	2	1	no	—
346	C₂×C₄×C₅	—	2	1	no	—
347	C₂×C₄×C₅	—	2	1	no	—
348	C₂×C₄×C₅	—	2	1	no	—
349	C₂×C₄×C₅	—	2	1	no	—
350	C₂×C₄×C₅	—	2	1	no	—
351	C₂×C₄×C₅	—	2	1	no	—
352	C₂×C₄×C₅	—	2	1	no	—
353	C₂×C₄×C₅	—	2	1	no	—
354	C₂×C₄×C₅	—	2	1	no	—
355	C₂×C₄×C₅	—	4	1	no	—
356	C₂×C₄×C₅	—	4	1	no	—
357	C₂×C₄×C₅	—	4	1	no	—
358	C₂×C₄×C₅	—	4	1	no	—
359	C₂×C₄×C₅	—	4	1	no	—
360	C₂×C₄×C₅	—	4	1	no	—
361	C₂×C₄×C₅	—	4	1	no	—
362	C₂×C₄×C₅	—	4	1	no	—
363	C₂×C₄×C₅	C₄×D₄	1	2	yes	—
364	C₂×C₄×C₅	#131	1	2	yes	—
365	C₂×C₄×C₅	#131	1	2	yes	—
366	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
367	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
368	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
369	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
370	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
371	C₂×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
372	C₅×C₈	—	2	2	no	—
373	C₅×C₈	—	2	2	no	—
374	C₅×C₈	—	2	2	no	—
375	C₅×C₈	—	2	2	no	—
376	C₅×C₈	—	4	1	no	—
377	C₅×C₈	—	4	1	no	—
378	C₅×C₈	—	4	1	no	—
379	C₅×C₈	—	4	1	no	—
380	C₂²×D₄	C₂×C₄×C₅	1	1	yes	characteristic
381	C₂²×D₄	C₂×C₄×C₅	1	1	yes	characteristic
382	C₂²×D₄	C₂×C₄×C₅	1	1	yes	characteristic
383	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
384	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
385	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
386	C₂×M₁₆	—	2	2	no	—
387	C₂×M₁₆	—	2	2	no	—
388	C₂×M₁₆	—	2	2	no	—
389	C₂×M₁₆	—	2	2	no	—
390	C₂×M₁₆	—	4	1	no	—
391	C₂×M₁₆	—	4	1	no	—
392	C₂²×C₈	—	2	2	no	—
393	C₂²×C₈	—	2	2	no	—
394	C₂²×C₈	—	2	2	no	—
395	C₂²×C₈	—	2	2	no	—
396	C₂²×C₈	—	4	1	no	—
397	C₂²×C₈	—	4	1	no	—
398	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
399	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
400	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
401	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
402	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
403	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
404	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
405	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
406	C₄×D₄	—	2	2	no	—
407	C₄×D₄	—	2	2	no	—
408	C₄×D₄	—	2	2	no	—
409	C₄×D₄	—	2	2	no	—
410	C₄×D₄	—	4	1	no	—
411	C₄×D₄	—	4	1	no	—
412	#117	—	4	1	no	—
413	#117	—	4	1	no	—
414	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
415	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
416	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
417	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
418	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
419	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
420	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
421	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
422	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
423	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
424	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
425	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
426	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
427	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
428	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
429	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
430	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
431	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
432	C₂×C₂²⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
433	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
434	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
435	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
436	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
437	C₄⋊C₈	—	2	2	no	—
438	C₄⋊C₈	—	2	2	no	—
439	C₂²⋊C₈	—	2	2	no	—
440	C₂²⋊C₈	—	2	2	no	—
441	C₂²⋊C₈	—	2	2	no	—
442	C₂²⋊C₈	—	2	2	no	—
443	C₂²⋊C₈	—	2	2	no	—
444	C₂²⋊C₈	—	4	1	no	—
445	C₂²⋊C₈	—	4	1	no	—
446	C₂²⋊C₈	C₅×D₄	1	4	yes	complemented
447	#97	—	4	1	no	—
448	C₄×C₈	—	2	2	no	—
449	C₄×C₈	—	2	2	no	—
450	C₄×C₈	—	4	1	no	—
451	#95	C₂×C₄×C₅	1	1	yes	characteristic
452	#95	C₂×C₄×C₅	1	1	yes	characteristic
453	#95	C₂×C₄×C₅	1	1	yes	characteristic
454	#95	C₂×C₄×C₅	1	1	yes	characteristic
455	#95	C₂×C₄×C₅	1	1	yes	characteristic
456	#95	C₂×C₄×C₅	1	1	yes	characteristic
457	C₂²×C₅	—	2	2	no	—
458	C₂²×C₅	—	2	2	no	—
459	C₂²×C₅	—	2	2	no	—
460	C₂²×C₅	—	2	2	no	—
461	C₂²×C₅	—	2	2	no	—
462	C₂²×C₅	—	2	2	no	—
463	C₂²×C₅	—	4	1	no	—
464	C₂²×C₅	—	4	1	no	—
465	C₂²×C₅	—	4	1	no	—
466	C₂²×C₅	—	4	1	no	—
467	C₂²×C₅	—	4	1	no	—
468	C₂²×C₅	—	4	1	no	—
469	C₂²×C₅	—	4	1	no	—
470	C₂²×C₅	—	4	1	no	—
471	C₂²×C₅	—	4	1	no	—
472	C₂²×C₅	—	4	1	no	—
473	C₂²×C₅	—	4	1	no	—
474	C₂²×C₅	—	4	1	no	—
475	C₂²×C₅	—	4	1	no	—
476	C₂²×C₅	—	4	1	no	—
477	C₂²×C₅	—	4	1	no	—
478	C₂²×C₅	C₂×C₄×D₄	1	1	yes	characteristic
479	C₂²×C₅	C₄×#41	1	1	yes	characteristic
480	C₂²×C₅	#518	1	1	yes	characteristic
481	C₂²×C₅	C₂×#131	1	1	yes	characteristic
482	C₂²×C₅	C₂×#131	1	1	yes	characteristic
483	C₂²×C₅	C₂×#131	1	1	yes	characteristic
484	C₂²×C₅	#568	1	1	yes	characteristic
485	C₄×C₅	—	2	2	no	—
486	C₄×C₅	—	2	2	no	—
487	C₄×C₅	—	2	2	no	—
488	C₄×C₅	—	4	1	no	—
489	C₄×C₅	—	4	1	no	—
490	C₄×C₅	—	4	1	no	—
491	C₄×C₅	—	4	1	no	—
492	C₄×C₅	—	4	1	no	—
493	C₄×C₅	—	4	1	no	—
494	C₄×C₅	—	4	1	no	—
495	C₄×C₅	—	4	1	no	—
496	C₄×C₅	#546	1	1	yes	characteristic
497	C₄×C₅	#546	1	1	yes	characteristic
498	C₄×C₅	#553	1	1	yes	characteristic
499	C₄×C₅	#553	1	1	yes	characteristic
500	C₂⁴	C₂²×C₄×C₅	1	1	yes	characteristic
501	C₂⁴	C₂²×C₄×C₅	1	1	yes	characteristic
502	C₂⁴	C₂²×C₄×C₅	1	1	yes	characteristic
503	C₂×D₄	—	2	2	no	—
504	C₂×D₄	—	2	2	no	—
505	C₂×D₄	—	2	2	no	—
506	C₂×D₄	—	2	2	no	—
507	C₂×D₄	—	2	2	no	—
508	C₂×D₄	—	2	2	no	—
509	C₂×D₄	—	4	1	no	—
510	C₂×D₄	—	4	1	no	—
511	C₂×D₄	—	4	1	no	—
512	C₂²×C₄	—	2	1	no	—
513	C₂²×C₄	—	2	1	no	—
514	C₂²×C₄	—	2	1	no	—
515	C₂²×C₄	—	2	1	no	—
516	C₂²×C₄	—	2	1	no	—
517	C₂²×C₄	—	2	1	no	—
518	C₂²×C₄	—	2	1	no	—
519	C₂²×C₄	—	2	1	no	—
520	C₂²×C₄	—	2	1	no	—
521	C₂²×C₄	—	2	1	no	—
522	C₂²×C₄	—	2	1	no	—
523	C₂²×C₄	—	2	1	no	—
524	C₂²×C₄	—	2	1	no	—
525	C₂²×C₄	—	2	1	no	—
526	C₂²×C₄	—	2	1	no	—
527	C₂²×C₄	—	2	1	no	—
528	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
529	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
530	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
531	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
532	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
533	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
534	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
535	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
536	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
537	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
538	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
539	C₂²×C₄	C₂×C₅×D₄	1	2	yes	—
540	C₂²×C₄	C₅×#41	1	2	yes	—
541	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
542	M₁₆	—	4	4	no	—
543	M₁₆	—	4	4	no	—
544	C₂×C₈	—	2	1	no	—
545	C₂×C₈	—	2	1	no	—
546	C₂×C₈	—	2	1	no	—
547	C₂×C₈	—	2	1	no	—
548	C₂×C₈	—	2	1	no	—
549	C₂×C₈	—	2	1	no	—
550	C₂×C₈	—	2	1	no	—
551	C₂×C₈	—	2	1	no	—
552	C₂×C₈	—	2	1	no	—
553	C₂×C₈	—	2	1	no	—
554	C₂×C₈	—	2	1	no	—
555	C₂×C₈	—	2	1	no	—
556	C₂×C₈	—	2	1	no	—
557	C₂×C₈	—	2	1	no	—
558	C₂×C₈	—	2	1	no	—
559	C₂×C₈	—	2	1	no	—
560	C₂×C₈	—	2	1	no	—
561	C₂×C₈	—	2	1	no	—
562	C₂×C₈	—	2	1	no	—
563	C₂×C₈	—	2	1	no	—
564	C₂×C₈	—	4	4	no	—
565	C₂×C₈	—	4	4	no	—
566	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
567	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
568	C₂×C₈	C₅×#41	1	2	yes	—
569	C₂×C₈	C₅×#41	1	2	yes	—
570	C₄⋊C₄	—	2	2	no	—
571	C₄⋊C₄	—	2	2	no	—
572	C₄⋊C₄	—	2	2	no	—
573	C₄⋊C₄	—	2	2	no	—
574	C₄⋊C₄	—	4	1	no	—
575	C₄⋊C₄	—	4	1	no	—
576	C₄⋊C₄	—	4	1	no	—
577	C₂²⋊C₄	—	2	2	no	—
578	C₂²⋊C₄	—	2	2	no	—
579	C₂²⋊C₄	—	2	2	no	—
580	C₂²⋊C₄	—	2	2	no	—
581	C₂²⋊C₄	—	2	2	no	—
582	C₂²⋊C₄	—	2	2	no	—
583	C₂²⋊C₄	—	2	2	no	—
584	C₂²⋊C₄	—	4	1	no	—
585	C₂²⋊C₄	—	4	1	no	—
586	C₂²⋊C₄	—	4	1	no	—
587	C₂²⋊C₄	—	4	1	no	—
588	C₂²⋊C₄	—	4	1	no	—
589	C₄²	—	2	1	no	—
590	C₄²	—	2	1	no	—
591	C₄²	—	2	1	no	—
592	C₄²	—	2	1	no	—
593	C₄²	—	2	1	no	—
594	C₄²	—	2	1	no	—
595	C₄²	—	2	1	no	—
596	C₄²	—	2	1	no	—
597	C₂×C₅	—	4	2	no	—
598	C₂×C₅	—	4	2	no	—
599	C₂×C₅	—	8	1	no	—
600	C₂×C₅	#2364	1	1	yes	characteristic
601	C₂×C₅	#2929	1	1	yes	characteristic
602	C₂×C₅	#2933	1	1	yes	characteristic
603	C₂×C₅	#2966	1	1	yes	characteristic
604	C₂×C₅	#2969	1	1	yes	characteristic
605	C₂×C₅	#2976	1	1	yes	characteristic
606	C₂×C₅	#2979	1	1	yes	characteristic
607	C₂³	—	2	1	no	—
608	C₂³	—	2	1	no	—
609	C₂³	—	2	1	no	—
610	C₂³	—	2	1	no	—
611	C₂³	—	2	1	no	—
612	C₂³	—	2	1	no	—
613	C₂³	—	2	1	no	—
614	C₂³	—	2	1	no	—
615	C₂³	—	2	1	no	—
616	C₂³	—	2	1	no	—
617	C₂³	—	2	1	no	—
618	C₂³	—	2	1	no	—
619	C₂³	—	2	1	no	—
620	C₂³	—	2	1	no	—
621	C₂³	—	2	1	no	—
622	C₂³	—	2	1	no	—
623	C₂³	—	2	1	no	—
624	C₂³	—	2	1	no	—
625	C₂³	—	2	1	no	—
626	C₂³	C₄×C₅×D₄	1	2	yes	—
627	C₂³	C₅×#131	1	2	yes	—
628	C₂³	C₂³×C₄×C₅	1	1	yes	characteristic
629	D₄	—	2	8	no	—
630	D₄	—	4	4	no	—
631	D₄	—	4	4	no	—
632	C₂×C₄	—	2	1	no	—
633	C₂×C₄	—	2	1	no	—
634	C₂×C₄	—	2	1	no	—
635	C₂×C₄	—	2	1	no	—
636	C₂×C₄	—	2	1	no	—
637	C₂×C₄	—	2	1	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	2	no	—
641	C₂×C₄	—	2	2	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	2	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	2	1	no	—
652	C₂×C₄	—	2	1	no	—
653	C₂×C₄	—	2	1	no	—
654	C₂×C₄	—	2	1	no	—
655	C₂×C₄	—	2	1	no	—
656	C₂×C₄	—	2	1	no	—
657	C₂×C₄	—	2	1	no	—
658	C₂×C₄	—	2	1	no	—
659	C₂×C₄	—	2	1	no	—
660	C₂×C₄	—	2	1	no	—
661	C₂×C₄	—	2	1	no	—
662	C₂×C₄	—	2	1	no	—
663	C₂×C₄	—	2	1	no	—
664	C₂×C₄	—	2	1	no	—
665	C₂×C₄	—	2	1	no	—
666	C₂×C₄	—	4	1	no	—
667	C₂×C₄	—	4	1	no	—
668	C₂×C₄	—	4	1	no	—
669	C₂×C₄	—	4	1	no	—
670	C₂×C₄	—	4	1	no	—
671	C₂×C₄	—	4	1	no	—
672	C₂×C₄	—	4	1	no	—
673	C₂×C₄	—	4	1	no	—
674	C₂×C₄	C₄×C₅×D₄	1	2	yes	—
675	C₂×C₄	C₅×#131	1	2	yes	—
676	C₂×C₄	C₅×#131	1	2	yes	—
677	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
678	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
679	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
680	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
681	C₂×C₄	C₅×H(5,𝔽₂)	1	1	yes	characteristic
682	C₂×C₄	C₅×H(5,𝔽₂)	1	1	yes	characteristic
683	C₈	—	2	2	no	—
684	C₈	—	2	2	no	—
685	C₈	—	2	2	no	—
686	C₈	—	2	2	no	—
687	C₈	—	4	1	no	—
688	C₈	—	4	1	no	—
689	C₈	—	4	1	no	—
690	C₈	—	4	1	no	—
691	C₅	#23122	1	1	yes	characteristic, direct product factor, Sylow
692	C₂²	—	2	2	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	4	1	no	—
699	C₂²	—	4	1	no	—
700	C₂²	—	4	1	no	—
701	C₂²	—	4	1	no	—
702	C₂²	—	4	1	no	—
703	C₂²	—	4	1	no	—
704	C₂²	—	4	1	no	—
705	C₂²	—	4	1	no	—
706	C₂²	—	4	1	no	—
707	C₂²	—	4	1	no	—
708	C₂²	—	4	1	no	—
709	C₂²	—	4	1	no	—
710	C₂²	—	4	1	no	—
711	C₂²	—	4	1	no	—
712	C₂²	—	4	1	no	—
713	C₂²	C₂×C₄×C₅×D₄	1	1	yes	characteristic
714	C₂²	C₄×C₅×#41	1	1	yes	characteristic
715	C₂²	C₅×#518	1	1	yes	characteristic
716	C₂²	C₂×C₅×#131	1	1	yes	characteristic
717	C₂²	C₂×C₅×#131	1	1	yes	characteristic
718	C₂²	C₂×C₅×#131	1	1	yes	characteristic
719	C₂²	C₅×#568	1	1	yes	characteristic
720	C₄	—	2	2	no	—
721	C₄	—	2	2	no	—
722	C₄	—	2	2	no	—
723	C₄	—	4	1	no	—
724	C₄	—	4	1	no	—
725	C₄	—	4	1	no	—
726	C₄	—	4	1	no	—
727	C₄	—	4	1	no	—
728	C₄	—	4	1	no	—
729	C₄	—	4	1	no	—
730	C₄	—	4	1	no	—
731	C₄	C₅×#546	1	1	yes	characteristic
732	C₄	C₅×#546	1	1	yes	characteristic
733	C₄	C₅×#553	1	1	yes	characteristic
734	C₄	C₅×#553	1	1	yes	characteristic
735	C₂	—	4	2	no	—
736	C₂	—	4	2	no	—
737	C₂	—	8	1	no	—
738	C₂	C₅×#2364	1	1	yes	characteristic
739	C₂	C₅×#2929	1	1	yes	characteristic
740	C₂	C₅×#2933	1	1	yes	characteristic
741	C₂	C₅×#2966	1	1	yes	characteristic
742	C₂	C₅×#2969	1	1	yes	characteristic
743	C₂	C₅×#2976	1	1	yes	characteristic
744	C₂	C₅×#2979	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₅	C₂⁴
commutator	C₂³	C₂³×C₄×C₅
Frattini, cosocle	C₂²×C₄	C₂⁴×C₅
socle	C₂³×C₅	C₂³×C₄
prime radical	C₅×#392	C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#436	C₂	semidirect
2. C₂×C₅×C₈×D₄	C₂	semidirect
4. C₅×#1924	C₂	semidirect
5. C₅×#1923	C₂	semidirect
6. C₅×#1916	C₂	semidirect
7. C₅×#1916	C₂	semidirect
8. C₅×#1870	C₂	semidirect
9. C₅×#1870	C₂	semidirect
10. C₅×#1869	C₂	semidirect
11. C₅×#1869	C₂	semidirect
12. C₅×#1753	C₂	semidirect
13. C₅×C₈×C₂²⋊C₄	C₂	semidirect
14. C₅×#1750	C₂	semidirect
15. C₅×#1729	C₂	semidirect
61. #23122	C₅	direct (N × H)
128. C₅×C₂²⋊C₈	D₄	semidirect
139. C₂×#436	C₂×C₅	semidirect
140. C₂×C₈×D₄	C₂×C₅	semidirect
142. #1924	C₂×C₅	semidirect
143. #1923	C₂×C₅	semidirect
144. #1916	C₂×C₅	semidirect
145. #1916	C₂×C₅	semidirect
146. #1870	C₂×C₅	semidirect
147. #1870	C₂×C₅	semidirect
148. #1869	C₂×C₅	semidirect
149. #1869	C₂×C₅	semidirect
150. #1753	C₂×C₅	semidirect
151. C₈×C₂²⋊C₄	C₂×C₅	semidirect
152. #1750	C₂×C₅	semidirect
153. #1729	C₂×C₅	semidirect
446. C₂²⋊C₈	C₅×D₄	semidirect
691. C₅	#23122	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×#436	2
C₂×C₅×C₈×D₄	2
C₅×#2392	2
C₅×#1924	2
C₅×#1923	2
C₅×#1916	2
C₅×#1870	2
C₅×#1869	2
C₅×#1753	2
C₅×C₈×C₂²⋊C₄	2
C₅×#1750	2
C₅×#1729	2
#23122	5

Subgroups — C5×#23122 #11945842

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#23122 #11945842