Subgroups — C₅×#17936 #11940656

Order 1280.

650 conjugacy classes of subgroups.

The subgroup lattice has 380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3103	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#446	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#2931	C₂	1	1	yes	maximal, characteristic
4	C₅×#1592	C₂	1	4	yes	maximal, complemented
5	C₅×#1585	C₂	1	4	yes	maximal, complemented
6	C₅×#1571	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#1487	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#1480	C₂	1	1	yes	maximal, characteristic
9	C₅×#1452	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₅×#131	—	2	1	no	—
11	C₅×#532	C₂²	1	1	yes	characteristic
12	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
13	C₅×#481	C₄	1	2	yes	—
14	C₅×#475	C₄	1	2	yes	—
15	C₅×#460	C₄	1	2	yes	—
16	C₅×#448	C₄	1	2	yes	—
17	C₅×#446	—	2	1	no	—
18	C₅×#446	—	2	1	no	—
19	C₅×#446	C₂²	1	2	yes	—
20	C₅×#446	C₂²	1	2	yes	—
21	C₄×C₅×SD₁₆	C₂²	1	4	yes	—
22	C₅×#436	—	2	1	no	—
23	C₅×#436	C₂²	1	2	yes	—
24	C₅×C₈×D₄	—	2	1	no	—
25	C₅×C₈×D₄	C₂²	1	2	yes	—
26	C₅×#431	C₂²	1	1	yes	characteristic
27	C₅×#431	C₂²	1	1	yes	characteristic
28	C₅×#423	C₂²	1	1	yes	characteristic
29	C₂×C₅×C₄⋊C₈	—	2	1	no	—
30	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
31	C₅×#408	—	2	1	no	—
32	C₂×C₅×#97	—	2	1	no	—
33	C₂×C₄×C₅×C₈	C₂²	1	1	yes	characteristic
34	C₅×#335	C₂²	1	4	yes	—
35	C₅×Q₈⋊C₈	C₂²	1	4	yes	—
36	C₅×D₄⋊C₈	C₂²	1	4	yes	—
37	C₅×#322	C₂²	1	2	yes	—
38	C₅×#322	C₂²	1	2	yes	—
39	#17936	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
40	C₂×C₅×#41	—	2	1	no	—
41	C₂²×C₅×Q₈	C₂×C₄	1	1	yes	characteristic
42	C₂×C₅×SD₁₆	C₂×C₄	1	4	yes	—
43	C₅×#131	—	4	4	no	—
44	C₂×C₅×M₁₆	—	2	1	no	—
45	C₂×C₅×M₁₆	—	2	2	no	—
46	C₂²×C₅×C₈	—	2	1	no	—
47	C₂²×C₅×C₈	—	2	2	no	—
48	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
49	C₂²×C₅×C₈	D₄	1	1	yes	characteristic
50	C₅×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
51	C₅×#127	C₂×C₄	1	1	yes	characteristic
52	C₅×#124	—	2	1	no	—
53	C₅×#121	—	2	1	no	—
54	C₅×#121	C₂×C₄	1	2	yes	—
55	C₄×C₅×Q₈	—	2	1	no	—
56	C₄×C₅×Q₈	—	2	1	no	—
57	C₄×C₅×Q₈	C₂×C₄	1	2	yes	—
58	C₄×C₅×Q₈	C₂³	1	2	yes	—
59	C₄×C₅×D₄	—	2	1	no	—
60	C₄×C₅×D₄	C₂³	1	2	yes	—
61	C₂×C₅×C₄⋊C₄	—	2	1	no	—
62	C₂×C₅×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
63	C₂×C₄²×C₅	—	2	1	no	—
64	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
65	C₅×#106	C₂×C₄	1	4	yes	—
66	C₅×C₄⋊C₈	—	2	2	no	—
67	C₅×C₄⋊C₈	—	2	2	no	—
68	C₅×C₄⋊C₈	—	2	1	no	—
69	C₅×C₄⋊C₈	—	2	1	no	—
70	C₅×C₄⋊C₈	—	2	1	no	—
71	C₅×C₄⋊C₈	C₂×C₄	1	2	yes	—
72	C₅×C₄⋊C₈	C₂³	1	2	yes	—
73	C₅×C₄⋊C₈	C₂³	1	2	yes	—
74	C₅×#103	C₂×C₄	1	4	yes	—
75	C₅×#102	C₂×C₄	1	4	yes	—
76	C₅×C₂²⋊C₈	—	2	1	no	—
77	C₅×C₂²⋊C₈	—	2	2	no	—
78	C₅×C₂²⋊C₈	—	2	2	no	—
79	C₅×C₂²⋊C₈	C₂×C₄	1	2	yes	—
80	C₅×#97	—	2	2	no	—
81	C₅×#97	—	2	2	no	—
82	C₄×C₅×C₈	D₄	1	1	yes	characteristic
83	C₄×C₅×C₈	D₄	1	1	yes	characteristic
84	C₄×C₅×C₈	C₂³	1	2	yes	—
85	C₄×C₅×C₈	C₂³	1	2	yes	—
86	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
87	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
88	#3103	C₂×C₅	1	1	yes	characteristic
89	C₂×#446	C₂×C₅	1	1	yes	characteristic, complemented
90	#2931	C₂×C₅	1	1	yes	characteristic
91	#1592	C₂×C₅	1	4	yes	complemented
92	#1585	C₂×C₅	1	4	yes	complemented
93	#1571	C₂×C₅	1	1	yes	characteristic, complemented
94	#1487	C₂×C₅	1	1	yes	characteristic, complemented
95	#1480	C₂×C₅	1	1	yes	characteristic
96	#1452	C₂×C₅	1	1	yes	characteristic, complemented
97	C₅×#41	—	4	2	no	—
98	C₅×#41	—	4	2	no	—
99	C₂×C₅×Q₈	—	2	1	no	—
100	C₂×C₅×Q₈	—	2	1	no	—
101	C₂×C₅×Q₈	—	4	2	no	—
102	C₂×C₅×Q₈	C₂²×C₄	1	2	yes	—
103	C₂×C₅×D₄	—	2	2	no	—
104	C₂×C₅×D₄	—	2	1	no	—
105	C₂×C₅×D₄	—	2	1	no	—
106	C₂×C₅×D₄	C₂²×C₄	1	2	yes	—
107	C₂²×C₄×C₅	—	2	1	no	—
108	C₂²×C₄×C₅	—	2	1	no	—
109	C₂²×C₄×C₅	—	2	2	no	—
110	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
111	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
112	C₂²×C₄×C₅	#41	1	1	yes	characteristic
113	C₅×SD₁₆	—	4	4	no	—
114	C₅×M₁₆	—	4	4	no	—
115	C₅×M₁₆	—	4	2	no	—
116	C₂×C₅×C₈	—	2	2	no	—
117	C₂×C₅×C₈	—	2	2	no	—
118	C₂×C₅×C₈	—	2	2	no	—
119	C₂×C₅×C₈	—	2	2	no	—
120	C₂×C₅×C₈	—	2	2	no	—
121	C₂×C₅×C₈	—	4	4	no	—
122	C₂×C₅×C₈	—	4	2	no	—
123	C₂×C₅×C₈	C₂²×C₄	1	4	yes	—
124	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
125	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
126	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
127	C₂×C₅×C₈	C₂×D₄	1	1	yes	characteristic
128	C₅×C₄⋊C₄	—	2	2	no	—
129	C₅×C₄⋊C₄	—	2	1	no	—
130	C₅×C₄⋊C₄	—	2	1	no	—
131	C₅×C₄⋊C₄	—	2	2	no	—
132	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
133	C₅×C₄⋊C₄	C₂²×C₄	1	2	yes	—
134	C₅×C₂²⋊C₄	—	2	2	no	—
135	C₅×C₂²⋊C₄	—	2	2	no	—
136	C₄²×C₅	—	2	2	no	—
137	C₄²×C₅	—	2	2	no	—
138	C₄²×C₅	C₂²×C₄	1	1	yes	characteristic
139	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
140	C₄²×C₅	#41	1	1	yes	characteristic
141	C₄²×C₅	C₂⁴	1	1	yes	characteristic
142	C₂×#131	—	2	1	no	—
143	#532	C₂²×C₅	1	1	yes	characteristic
144	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
145	#481	C₄×C₅	1	2	yes	—
146	#475	C₄×C₅	1	2	yes	—
147	#460	C₄×C₅	1	2	yes	—
148	#448	C₄×C₅	1	2	yes	—
149	#446	—	2	1	no	—
150	#446	—	2	1	no	—
151	#446	C₂²×C₅	1	2	yes	—
152	#446	C₂²×C₅	1	2	yes	—
153	C₄×SD₁₆	C₂²×C₅	1	4	yes	—
154	#436	—	2	1	no	—
155	#436	C₂²×C₅	1	2	yes	—
156	C₈×D₄	—	2	1	no	—
157	C₈×D₄	C₂²×C₅	1	2	yes	—
158	#431	C₂²×C₅	1	1	yes	characteristic
159	#431	C₂²×C₅	1	1	yes	characteristic
160	#423	C₂²×C₅	1	1	yes	characteristic
161	C₂×C₄⋊C₈	—	2	1	no	—
162	C₂×C₄⋊C₈	C₂²×C₅	1	1	yes	characteristic
163	#408	—	2	1	no	—
164	C₂×#97	—	2	1	no	—
165	C₂×C₄×C₈	C₂²×C₅	1	1	yes	characteristic
166	#335	C₂²×C₅	1	4	yes	—
167	Q₈⋊C₈	C₂²×C₅	1	4	yes	—
168	D₄⋊C₈	C₂²×C₅	1	4	yes	—
169	#322	C₂²×C₅	1	2	yes	—
170	#322	C₂²×C₅	1	2	yes	—
171	C₂³×C₅	—	2	2	no	—
172	C₂³×C₅	C₄×D₄	1	1	yes	characteristic
173	C₅×Q₈	—	2	2	no	—
174	C₅×Q₈	—	2	2	no	—
175	C₅×Q₈	—	4	2	no	—
176	C₅×Q₈	—	4	2	no	—
177	C₅×D₄	—	2	4	no	—
178	C₅×D₄	—	4	2	no	—
179	C₅×D₄	—	4	4	no	—
180	C₅×D₄	—	4	2	no	—
181	C₂×C₄×C₅	—	2	2	no	—
182	C₂×C₄×C₅	—	2	2	no	—
183	C₂×C₄×C₅	—	2	2	no	—
184	C₂×C₄×C₅	—	2	2	no	—
185	C₂×C₄×C₅	—	4	1	no	—
186	C₂×C₄×C₅	—	4	2	no	—
187	C₂×C₄×C₅	—	4	2	no	—
188	C₂×C₄×C₅	—	4	2	no	—
189	C₂×C₄×C₅	—	4	2	no	—
190	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
191	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
192	C₂×C₄×C₅	C₄×D₄	1	1	yes	characteristic
193	C₂×C₄×C₅	AGL(1,ℤ/8)	1	2	yes	—
194	C₂×C₄×C₅	#137	1	2	yes	—
195	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
196	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
197	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
198	C₅×C₈	—	2	4	no	—
199	C₅×C₈	—	2	1	no	—
200	C₅×C₈	—	2	1	no	—
201	C₅×C₈	—	2	1	no	—
202	C₅×C₈	—	2	1	no	—
203	C₅×C₈	—	4	2	no	—
204	C₅×C₈	—	4	2	no	—
205	C₅×C₈	—	4	2	no	—
206	C₂×#41	—	2	1	no	—
207	C₂²×Q₈	C₂×C₄×C₅	1	1	yes	characteristic
208	C₂×SD₁₆	C₂×C₄×C₅	1	4	yes	—
209	#131	—	4	4	no	—
210	C₂×M₁₆	—	2	1	no	—
211	C₂×M₁₆	—	2	2	no	—
212	C₂²×C₈	—	2	1	no	—
213	C₂²×C₈	—	2	2	no	—
214	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
215	C₂²×C₈	C₅×D₄	1	1	yes	characteristic
216	C₄⋊Q₈	C₂×C₄×C₅	1	1	yes	characteristic
217	#127	C₂×C₄×C₅	1	1	yes	characteristic
218	#124	—	2	1	no	—
219	#121	—	2	1	no	—
220	#121	C₂×C₄×C₅	1	2	yes	—
221	C₄×Q₈	—	2	1	no	—
222	C₄×Q₈	—	2	1	no	—
223	C₄×Q₈	C₂×C₄×C₅	1	2	yes	—
224	C₄×Q₈	C₂³×C₅	1	2	yes	—
225	C₄×D₄	—	2	1	no	—
226	C₄×D₄	C₂³×C₅	1	2	yes	—
227	C₂×C₄⋊C₄	—	2	1	no	—
228	C₂×C₄⋊C₄	C₂×C₄×C₅	1	1	yes	characteristic
229	C₂×C₄²	—	2	1	no	—
230	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
231	#106	C₂×C₄×C₅	1	4	yes	—
232	C₄⋊C₈	—	2	2	no	—
233	C₄⋊C₈	—	2	2	no	—
234	C₄⋊C₈	—	2	1	no	—
235	C₄⋊C₈	—	2	1	no	—
236	C₄⋊C₈	—	2	1	no	—
237	C₄⋊C₈	C₂×C₄×C₅	1	2	yes	—
238	C₄⋊C₈	C₂³×C₅	1	2	yes	—
239	C₄⋊C₈	C₂³×C₅	1	2	yes	—
240	#103	C₂×C₄×C₅	1	4	yes	—
241	#102	C₂×C₄×C₅	1	4	yes	—
242	C₂²⋊C₈	—	2	1	no	—
243	C₂²⋊C₈	—	2	2	no	—
244	C₂²⋊C₈	—	2	2	no	—
245	C₂²⋊C₈	C₂×C₄×C₅	1	2	yes	—
246	#97	—	2	2	no	—
247	#97	—	2	2	no	—
248	C₄×C₈	C₅×D₄	1	1	yes	characteristic
249	C₄×C₈	C₅×D₄	1	1	yes	characteristic
250	C₄×C₈	C₂³×C₅	1	2	yes	—
251	C₄×C₈	C₂³×C₅	1	2	yes	—
252	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
253	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
254	C₂²×C₅	—	2	1	no	—
255	C₂²×C₅	—	2	1	no	—
256	C₂²×C₅	—	4	2	no	—
257	C₂²×C₅	—	4	2	no	—
258	C₂²×C₅	—	4	2	no	—
259	C₂²×C₅	#440	1	2	yes	—
260	C₂²×C₅	C₂×C₄×D₄	1	1	yes	characteristic
261	C₄×C₅	—	2	1	no	—
262	C₄×C₅	—	2	1	no	—
263	C₄×C₅	—	2	1	no	—
264	C₄×C₅	—	4	2	no	—
265	C₄×C₅	—	4	2	no	—
266	C₄×C₅	—	4	2	no	—
267	C₄×C₅	#440	1	2	yes	—
268	C₄×C₅	#568	1	2	yes	—
269	C₄×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
270	C₄×C₅	C₂×#137	1	1	yes	characteristic
271	#41	—	4	2	no	—
272	#41	—	4	2	no	—
273	C₂×Q₈	—	2	1	no	—
274	C₂×Q₈	—	2	1	no	—
275	C₂×Q₈	—	4	2	no	—
276	C₂×Q₈	C₂²×C₄×C₅	1	2	yes	—
277	C₂×D₄	—	2	2	no	—
278	C₂×D₄	—	2	1	no	—
279	C₂×D₄	—	2	1	no	—
280	C₂×D₄	C₂²×C₄×C₅	1	2	yes	—
281	C₂²×C₄	—	2	1	no	—
282	C₂²×C₄	—	2	1	no	—
283	C₂²×C₄	—	2	2	no	—
284	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
285	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
286	C₂²×C₄	C₅×#41	1	1	yes	characteristic
287	SD₁₆	—	4	4	no	—
288	M₁₆	—	4	4	no	—
289	M₁₆	—	4	2	no	—
290	C₂×C₈	—	2	2	no	—
291	C₂×C₈	—	2	2	no	—
292	C₂×C₈	—	2	2	no	—
293	C₂×C₈	—	2	2	no	—
294	C₂×C₈	—	2	2	no	—
295	C₂×C₈	—	4	4	no	—
296	C₂×C₈	—	4	2	no	—
297	C₂×C₈	C₂²×C₄×C₅	1	4	yes	—
298	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
299	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
300	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
301	C₂×C₈	C₂×C₅×D₄	1	1	yes	characteristic
302	C₄⋊C₄	—	2	2	no	—
303	C₄⋊C₄	—	2	1	no	—
304	C₄⋊C₄	—	2	1	no	—
305	C₄⋊C₄	—	2	2	no	—
306	C₄⋊C₄	C₂²×C₄×C₅	1	2	yes	—
307	C₄⋊C₄	C₂²×C₄×C₅	1	2	yes	—
308	C₂²⋊C₄	—	2	2	no	—
309	C₂²⋊C₄	—	2	2	no	—
310	C₄²	—	2	2	no	—
311	C₄²	—	2	2	no	—
312	C₄²	C₂²×C₄×C₅	1	1	yes	characteristic
313	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
314	C₄²	C₅×#41	1	1	yes	characteristic
315	C₄²	C₂⁴×C₅	1	1	yes	characteristic
316	C₂×C₅	—	2	2	no	—
317	C₂×C₅	—	8	2	no	—
318	C₂×C₅	#2930	1	1	yes	characteristic
319	C₂×C₅	C₂×#440	1	1	yes	characteristic
320	C₂×C₅	#2955	1	1	yes	characteristic
321	C₂³	—	2	2	no	—
322	C₂³	C₄×C₅×D₄	1	1	yes	characteristic
323	Q₈	—	2	2	no	—
324	Q₈	—	2	2	no	—
325	Q₈	—	4	2	no	—
326	Q₈	—	4	2	no	—
327	D₄	—	2	4	no	—
328	D₄	—	4	2	no	—
329	D₄	—	4	4	no	—
330	D₄	—	4	2	no	—
331	C₂×C₄	—	2	2	no	—
332	C₂×C₄	—	2	2	no	—
333	C₂×C₄	—	2	2	no	—
334	C₂×C₄	—	2	2	no	—
335	C₂×C₄	—	4	1	no	—
336	C₂×C₄	—	4	2	no	—
337	C₂×C₄	—	4	2	no	—
338	C₂×C₄	—	4	2	no	—
339	C₂×C₄	—	4	2	no	—
340	C₂×C₄	C₄×C₅×D₄	1	1	yes	characteristic
341	C₂×C₄	C₄×C₅×D₄	1	1	yes	characteristic
342	C₂×C₄	C₄×C₅×D₄	1	1	yes	characteristic
343	C₂×C₄	C₅×AGL(1,ℤ/8)	1	2	yes	—
344	C₂×C₄	C₅×#137	1	2	yes	—
345	C₂×C₄	C₂³×C₄×C₅	1	1	yes	characteristic
346	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
347	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
348	C₈	—	2	4	no	—
349	C₈	—	2	1	no	—
350	C₈	—	2	1	no	—
351	C₈	—	2	1	no	—
352	C₈	—	2	1	no	—
353	C₈	—	4	2	no	—
354	C₈	—	4	2	no	—
355	C₈	—	4	2	no	—
356	C₅	#17936	1	1	yes	characteristic, direct product factor, Sylow
357	C₂²	—	2	1	no	—
358	C₂²	—	2	1	no	—
359	C₂²	—	4	2	no	—
360	C₂²	—	4	2	no	—
361	C₂²	—	4	2	no	—
362	C₂²	C₅×#440	1	2	yes	—
363	C₂²	C₂×C₄×C₅×D₄	1	1	yes	characteristic
364	C₄	—	2	1	no	—
365	C₄	—	2	1	no	—
366	C₄	—	2	1	no	—
367	C₄	—	4	2	no	—
368	C₄	—	4	2	no	—
369	C₄	—	4	2	no	—
370	C₄	C₅×#440	1	2	yes	—
371	C₄	C₅×#568	1	2	yes	—
372	C₄	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
373	C₄	C₂×C₅×#137	1	1	yes	characteristic
374	C₂	—	2	2	no	—
375	C₂	—	8	2	no	—
376	C₂	C₅×#2930	1	1	yes	characteristic
377	C₂	C₂×C₅×#440	1	1	yes	characteristic
378	C₂	C₅×#2955	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅	C₂²×D₄
commutator	C₂×C₄	C₂³×C₄×C₅
Frattini, cosocle	C₄²	C₂⁴×C₅
socle	C₂²×C₅	C₂×C₄×D₄
prime radical	C₅×#532	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₂×C₄×C₅×C₈ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₅×#446	C₂	semidirect
4. C₅×#1592	C₂	semidirect
5. C₅×#1585	C₂	semidirect
6. C₅×#1571	C₂	semidirect
7. C₅×#1487	C₂	semidirect
9. C₅×#1452	C₂	semidirect
39. #17936	C₅	direct (N × H)
89. C₂×#446	C₂×C₅	semidirect
91. #1592	C₂×C₅	semidirect
92. #1585	C₂×C₅	semidirect
93. #1571	C₂×C₅	semidirect
94. #1487	C₂×C₅	semidirect
96. #1452	C₂×C₅	semidirect
356. C₅	#17936	direct (N × H)

Maximal subgroups

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

subgroup	index
C₅×#3103	2
C₂×C₅×#446	2
C₅×#2931	2
C₅×#1592	2
C₅×#1585	2
C₅×#1571	2
C₅×#1487	2
C₅×#1480	2
C₅×#1452	2
#17936	5

Subgroups — C5×#17936 #11940656

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#17936 #11940656