Subgroups — C₅×#35319 #11958039

Order 1280.

2026 conjugacy classes of subgroups.

The subgroup lattice has 366 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#541	C₂	1	2	yes	maximal
2	C₅×#2868	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2859	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2857	C₂	1	2	yes	maximal
5	C₅×#2642	C₂	1	2	yes	maximal, complemented
6	C₅×#2621	C₂	1	2	yes	maximal
7	C₅×#2506	C₂	1	8	yes	maximal, complemented
8	C₅×#2496	C₂	1	8	yes	maximal
9	C₅×#2327	C₂	1	2	yes	maximal, complemented
10	C₄×C₅×C₄⋊Q₈	C₂	1	2	yes	maximal, complemented
11	C₄×C₅×#117	C₂	1	1	yes	maximal, characteristic
12	C₅×#541	—	2	16	no	—
13	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
14	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
15	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
16	C₂×C₅×#126	C₂²	1	8	yes	—
17	C₂×C₅×#125	C₂²	1	8	yes	—
18	C₂×C₅×#125	C₂²	1	2	yes	—
19	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
20	C₂×C₄×C₅×Q₈	C₂²	1	4	yes	—
21	C₂×C₅×#117	C₂²	1	1	yes	characteristic
22	C₂×C₅×#117	C₂²	1	1	yes	characteristic
23	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
24	C₅×#400	C₂²	1	16	yes	—
25	C₅×#398	C₂²	1	8	yes	—
26	C₅×#397	C₂²	1	8	yes	—
27	C₅×#391	C₂²	1	4	yes	—
28	C₅×#391	C₂²	1	4	yes	—
29	C₅×#389	C₂²	1	8	yes	—
30	C₅×#389	C₂²	1	8	yes	—
31	C₅×#389	C₂²	1	8	yes	—
32	C₅×#387	C₂²	1	16	yes	—
33	C₅×#384	C₂²	1	8	yes	—
34	C₅×#384	C₂²	1	2	yes	—
35	C₅×#382	C₂²	1	2	yes	—
36	C₅×#380	C₂²	1	8	yes	—
37	C₄×C₅×C₄⋊C₄	C₂²	1	8	yes	—
38	C₄×C₅×C₄⋊C₄	C₂²	1	4	yes	—
39	C₄×C₅×C₂²⋊C₄	C₂²	1	4	yes	—
40	C₅×#376	C₂²	1	1	yes	characteristic
41	C₅×#376	C₂²	1	1	yes	characteristic
42	C₄³×C₅	C₂²	1	1	yes	characteristic
43	C₄³×C₅	C₂²	1	1	yes	characteristic
44	#35319	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
45	C₂²×C₅×Q₈	C₂³	1	4	yes	—
46	C₂³×C₄×C₅	C₂³	1	2	yes	—
47	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
48	C₅×C₄⋊Q₈	—	2	8	no	—
49	C₅×C₄⋊Q₈	—	2	8	no	—
50	C₅×C₄⋊Q₈	—	2	8	no	—
51	C₅×#126	—	2	32	no	—
52	C₅×#125	—	2	32	no	—
53	C₅×#125	—	2	8	no	—
54	C₅×C₂²⋊Q₈	—	2	16	no	—
55	C₄×C₅×Q₈	—	2	16	no	—
56	C₅×#117	—	2	4	no	—
57	C₅×#117	D₄	1	8	yes	—
58	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
59	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
60	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
61	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
62	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
63	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
64	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
65	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
66	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	—
67	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
68	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
69	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
70	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
71	C₂×C₄²×C₅	—	2	4	no	—
72	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
73	C₂×C₄²×C₅	C₂³	1	4	yes	—
74	C₂×C₄²×C₅	C₂³	1	4	yes	—
75	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
76	C₂×C₄²×C₅	C₂³	1	8	yes	—
77	C₂×C₄²×C₅	C₂³	1	2	yes	—
78	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
79	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
80	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
81	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
82	C₅×#95	C₂³	1	4	yes	—
83	C₅×#95	C₂³	1	4	yes	—
84	C₅×#95	C₂³	1	16	yes	—
85	C₅×#95	C₂³	1	16	yes	—
86	C₅×#95	C₂³	1	8	yes	—
87	C₂×#541	C₂×C₅	1	2	yes	—
88	#2868	C₂×C₅	1	1	yes	characteristic, complemented
89	#2859	C₂×C₅	1	1	yes	characteristic, complemented
90	#2857	C₂×C₅	1	2	yes	—
91	#2642	C₂×C₅	1	2	yes	complemented
92	#2621	C₂×C₅	1	2	yes	—
93	#2506	C₂×C₅	1	8	yes	complemented
94	#2496	C₂×C₅	1	8	yes	—
95	#2327	C₂×C₅	1	2	yes	complemented
96	C₄×C₄⋊Q₈	C₂×C₅	1	2	yes	complemented
97	C₄×#117	C₂×C₅	1	1	yes	characteristic
98	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
99	C₂×C₅×Q₈	—	2	8	no	—
100	C₂×C₅×Q₈	—	2	8	no	—
101	C₂×C₅×Q₈	—	2	8	no	—
102	C₂²×C₄×C₅	—	2	2	no	—
103	C₂²×C₄×C₅	—	2	2	no	—
104	C₂²×C₄×C₅	—	2	4	no	—
105	C₂²×C₄×C₅	—	2	8	no	—
106	C₂²×C₄×C₅	C₂×D₄	1	4	yes	—
107	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
108	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
109	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
110	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
111	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
112	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
113	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
114	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
115	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
116	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
117	C₅×C₄⋊C₄	—	2	8	no	—
118	C₅×C₄⋊C₄	—	2	16	no	—
119	C₅×C₄⋊C₄	—	2	16	no	—
120	C₅×C₄⋊C₄	—	2	16	no	—
121	C₅×C₄⋊C₄	—	2	16	no	—
122	C₅×C₄⋊C₄	—	2	4	no	—
123	C₅×C₄⋊C₄	—	2	16	no	—
124	C₅×C₄⋊C₄	—	2	16	no	—
125	C₅×C₄⋊C₄	—	2	16	no	—
126	C₅×C₄⋊C₄	C₂×D₄	1	8	yes	—
127	C₅×C₂²⋊C₄	—	2	16	no	—
128	C₅×C₂²⋊C₄	—	2	4	no	—
129	C₅×C₂²⋊C₄	C₂×D₄	1	8	yes	—
130	C₄²×C₅	—	2	16	no	—
131	C₄²×C₅	—	2	4	no	—
132	C₄²×C₅	—	2	2	no	—
133	C₄²×C₅	—	2	2	no	—
134	C₄²×C₅	—	2	8	no	—
135	C₄²×C₅	—	2	8	no	—
136	C₄²×C₅	C₂×D₄	1	4	yes	—
137	C₄²×C₅	C₂×D₄	1	4	yes	—
138	C₄²×C₅	#41	1	4	yes	—
139	C₄²×C₅	#41	1	4	yes	—
140	#541	—	2	16	no	—
141	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
142	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
143	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
144	C₂×#126	C₂²×C₅	1	8	yes	—
145	C₂×#125	C₂²×C₅	1	2	yes	—
146	C₂×#125	C₂²×C₅	1	8	yes	—
147	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
148	C₂×C₄×Q₈	C₂²×C₅	1	4	yes	—
149	C₂×#117	C₂²×C₅	1	1	yes	characteristic
150	C₂×#117	C₂²×C₅	1	1	yes	characteristic
151	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
152	#400	C₂²×C₅	1	16	yes	—
153	#398	C₂²×C₅	1	8	yes	—
154	#397	C₂²×C₅	1	8	yes	—
155	#391	C₂²×C₅	1	4	yes	—
156	#391	C₂²×C₅	1	4	yes	—
157	#389	C₂²×C₅	1	8	yes	—
158	#389	C₂²×C₅	1	8	yes	—
159	#389	C₂²×C₅	1	8	yes	—
160	#387	C₂²×C₅	1	16	yes	—
161	#384	C₂²×C₅	1	2	yes	—
162	#384	C₂²×C₅	1	8	yes	—
163	#382	C₂²×C₅	1	2	yes	—
164	#380	C₂²×C₅	1	8	yes	—
165	C₄×C₄⋊C₄	C₂²×C₅	1	8	yes	—
166	C₄×C₄⋊C₄	C₂²×C₅	1	4	yes	—
167	C₄×C₂²⋊C₄	C₂²×C₅	1	4	yes	—
168	#376	C₂²×C₅	1	1	yes	characteristic
169	#376	C₂²×C₅	1	1	yes	characteristic
170	C₄³	C₂²×C₅	1	1	yes	characteristic
171	C₄³	C₂²×C₅	1	1	yes	characteristic
172	C₂³×C₅	—	2	1	no	—
173	C₂³×C₅	—	2	1	no	—
174	C₂³×C₅	—	2	4	no	—
175	C₂³×C₅	C₂²×D₄	1	2	yes	—
176	C₂³×C₅	C₂⁵	1	1	yes	characteristic
177	C₅×Q₈	—	4	16	no	—
178	C₂×C₄×C₅	—	2	1	no	—
179	C₂×C₄×C₅	—	2	1	no	—
180	C₂×C₄×C₅	—	2	4	no	—
181	C₂×C₄×C₅	—	2	4	no	—
182	C₂×C₄×C₅	—	2	4	no	—
183	C₂×C₄×C₅	—	2	8	no	—
184	C₂×C₄×C₅	—	2	8	no	—
185	C₂×C₄×C₅	—	2	8	no	—
186	C₂×C₄×C₅	—	2	2	no	—
187	C₂×C₄×C₅	—	2	2	no	—
188	C₂×C₄×C₅	—	2	8	no	—
189	C₂×C₄×C₅	—	2	8	no	—
190	C₂×C₄×C₅	—	2	4	no	—
191	C₂×C₄×C₅	—	2	16	no	—
192	C₂×C₄×C₅	—	2	4	no	—
193	C₂×C₄×C₅	—	4	8	no	—
194	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
195	C₂×C₄×C₅	C₂²×D₄	1	4	yes	—
196	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
197	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
198	C₂×C₄×C₅	C₂×#41	1	4	yes	—
199	C₂×C₄×C₅	C₂×#41	1	2	yes	—
200	C₂×C₄×C₅	C₂×#41	1	2	yes	—
201	C₂×C₄×C₅	C₂×#41	1	4	yes	—
202	C₂×C₄×C₅	2₋¹⁺⁴	1	8	yes	—
203	C₂²×Q₈	C₂³×C₅	1	4	yes	—
204	C₂³×C₄	C₂³×C₅	1	2	yes	—
205	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
206	C₄⋊Q₈	—	2	8	no	—
207	C₄⋊Q₈	—	2	8	no	—
208	C₄⋊Q₈	—	2	8	no	—
209	#126	—	2	32	no	—
210	#125	—	2	32	no	—
211	#125	—	2	8	no	—
212	C₂²⋊Q₈	—	2	16	no	—
213	C₄×Q₈	—	2	16	no	—
214	#117	—	2	4	no	—
215	#117	C₅×D₄	1	8	yes	—
216	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
217	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
218	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
219	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
220	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
221	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
222	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
223	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
224	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	—
225	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
226	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
227	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
228	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
229	C₂×C₄²	—	2	4	no	—
230	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
231	C₂×C₄²	C₂³×C₅	1	8	yes	—
232	C₂×C₄²	C₂³×C₅	1	4	yes	—
233	C₂×C₄²	C₂³×C₅	1	4	yes	—
234	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
235	C₂×C₄²	C₂³×C₅	1	2	yes	—
236	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
237	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
238	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
239	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
240	#95	C₂³×C₅	1	4	yes	—
241	#95	C₂³×C₅	1	4	yes	—
242	#95	C₂³×C₅	1	16	yes	—
243	#95	C₂³×C₅	1	16	yes	—
244	#95	C₂³×C₅	1	8	yes	—
245	C₂²×C₅	—	2	2	no	—
246	C₂²×C₅	—	2	4	no	—
247	C₂²×C₅	—	4	2	no	—
248	C₂²×C₅	—	4	2	no	—
249	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
250	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
251	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
252	C₂²×C₅	C₂×2₋¹⁺⁴	1	4	yes	—
253	C₄×C₅	—	2	2	no	—
254	C₄×C₅	—	2	4	no	—
255	C₄×C₅	—	2	4	no	—
256	C₄×C₅	—	2	4	no	—
257	C₄×C₅	—	4	8	no	—
258	C₄×C₅	—	4	2	no	—
259	C₄×C₅	—	4	8	no	—
260	C₄×C₅	—	4	2	no	—
261	C₄×C₅	#532	1	4	yes	—
262	C₄×C₅	#541	1	8	yes	complemented
263	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
264	C₂×Q₈	—	2	8	no	—
265	C₂×Q₈	—	2	8	no	—
266	C₂×Q₈	—	2	8	no	—
267	C₂²×C₄	—	2	2	no	—
268	C₂²×C₄	—	2	2	no	—
269	C₂²×C₄	—	2	4	no	—
270	C₂²×C₄	—	2	8	no	—
271	C₂²×C₄	C₂×C₅×D₄	1	4	yes	—
272	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
273	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
274	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
275	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
276	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
277	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
278	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
279	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
280	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
281	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
282	C₄⋊C₄	—	2	8	no	—
283	C₄⋊C₄	—	2	16	no	—
284	C₄⋊C₄	—	2	16	no	—
285	C₄⋊C₄	—	2	16	no	—
286	C₄⋊C₄	—	2	16	no	—
287	C₄⋊C₄	—	2	4	no	—
288	C₄⋊C₄	—	2	16	no	—
289	C₄⋊C₄	—	2	16	no	—
290	C₄⋊C₄	—	2	16	no	—
291	C₄⋊C₄	C₂×C₅×D₄	1	8	yes	—
292	C₂²⋊C₄	—	2	16	no	—
293	C₂²⋊C₄	—	2	4	no	—
294	C₂²⋊C₄	C₂×C₅×D₄	1	8	yes	—
295	C₄²	—	2	16	no	—
296	C₄²	—	2	4	no	—
297	C₄²	—	2	2	no	—
298	C₄²	—	2	2	no	—
299	C₄²	—	2	8	no	—
300	C₄²	—	2	8	no	—
301	C₄²	C₂×C₅×D₄	1	4	yes	—
302	C₄²	C₂×C₅×D₄	1	4	yes	—
303	C₄²	C₅×#41	1	4	yes	—
304	C₄²	C₅×#41	1	4	yes	—
305	C₂×C₅	—	4	2	no	—
306	C₂×C₅	C₂×#532	1	1	yes	characteristic
307	C₂×C₅	C₂×#541	1	2	yes	—
308	C₂×C₅	#3499	1	2	yes	—
309	C₂×C₅	#3509	1	2	yes	—
310	C₂³	—	2	1	no	—
311	C₂³	—	2	1	no	—
312	C₂³	—	2	4	no	—
313	C₂³	C₂²×C₅×D₄	1	2	yes	—
314	C₂³	C₂⁵×C₅	1	1	yes	characteristic
315	Q₈	—	4	16	no	—
316	C₂×C₄	—	2	1	no	—
317	C₂×C₄	—	2	1	no	—
318	C₂×C₄	—	2	4	no	—
319	C₂×C₄	—	2	4	no	—
320	C₂×C₄	—	2	4	no	—
321	C₂×C₄	—	2	8	no	—
322	C₂×C₄	—	2	8	no	—
323	C₂×C₄	—	2	8	no	—
324	C₂×C₄	—	2	2	no	—
325	C₂×C₄	—	2	2	no	—
326	C₂×C₄	—	2	8	no	—
327	C₂×C₄	—	2	8	no	—
328	C₂×C₄	—	2	4	no	—
329	C₂×C₄	—	2	16	no	—
330	C₂×C₄	—	2	4	no	—
331	C₂×C₄	—	4	8	no	—
332	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
333	C₂×C₄	C₂²×C₅×D₄	1	4	yes	—
334	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
335	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
336	C₂×C₄	C₂×C₅×#41	1	4	yes	—
337	C₂×C₄	C₂×C₅×#41	1	2	yes	—
338	C₂×C₄	C₂×C₅×#41	1	2	yes	—
339	C₂×C₄	C₂×C₅×#41	1	4	yes	—
340	C₂×C₄	C₅×2₋¹⁺⁴	1	8	yes	—
341	C₅	#35319	1	1	yes	characteristic, direct product factor, Sylow
342	C₂²	—	2	2	no	—
343	C₂²	—	2	4	no	—
344	C₂²	—	4	2	no	—
345	C₂²	—	4	2	no	—
346	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
347	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
348	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
349	C₂²	C₂×C₅×2₋¹⁺⁴	1	4	yes	—
350	C₄	—	2	2	no	—
351	C₄	—	2	4	no	—
352	C₄	—	2	4	no	—
353	C₄	—	2	4	no	—
354	C₄	—	4	8	no	—
355	C₄	—	4	2	no	—
356	C₄	—	4	8	no	—
357	C₄	—	4	2	no	—
358	C₄	C₅×#532	1	4	yes	—
359	C₄	C₅×#541	1	8	yes	complemented
360	C₂	—	4	2	no	—
361	C₂	C₂×C₅×#532	1	1	yes	characteristic
362	C₂	C₂×C₅×#541	1	2	yes	—
363	C₂	C₅×#3499	1	2	yes	—
364	C₂	C₅×#3509	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅
prime radical	C₂⁴×C₅	C₂⁴
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₅×#2868	C₂	semidirect
3. C₅×#2859	C₂	semidirect
5. C₅×#2642	C₂	semidirect
7. C₅×#2506	C₂	semidirect
9. C₅×#2327	C₂	semidirect
10. C₄×C₅×C₄⋊Q₈	C₂	semidirect
44. #35319	C₅	direct (N × H)
88. #2868	C₂×C₅	semidirect
89. #2859	C₂×C₅	semidirect
91. #2642	C₂×C₅	semidirect
93. #2506	C₂×C₅	semidirect
95. #2327	C₂×C₅	semidirect
96. C₄×C₄⋊Q₈	C₂×C₅	semidirect
262. C₄×C₅	#541	semidirect
341. C₅	#35319	direct (N × H)
359. C₄	C₅×#541	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×C₅×#541	2
C₅×#2868	2
C₅×#2859	2
C₅×#2857	2
C₅×#2642	2
C₅×#2621	2
C₅×#2506	2
C₅×#2496	2
C₅×#2327	2
C₄×C₅×C₄⋊Q₈	2
C₄×C₅×#117	2
#35319	5

Subgroups — C5×#35319 #11958039

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#35319 #11958039