Subgroups — C₅×#19442 #11942162

Order 1280.

578 conjugacy classes of subgroups.

The subgroup lattice has 406 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3228	C₂	1	1	yes	maximal, characteristic
2	C₅×#3112	C₂	1	1	yes	maximal, characteristic
3	C₅×#3104	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#2983	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1702	C₂	1	2	yes	maximal, complemented
6	C₅×#1698	C₂	1	2	yes	maximal, complemented
7	C₅×#1696	C₂	1	2	yes	maximal, complemented
8	C₅×#1692	C₂	1	2	yes	maximal, complemented
9	C₅×#1572	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#1554	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#1543	C₂	1	1	yes	maximal, characteristic
12	C₅×#533	C₂²	1	1	yes	characteristic
13	C₅×#532	C₂²	1	1	yes	characteristic
14	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
15	C₅×#500	C₂²	1	1	yes	characteristic
16	C₅×#498	C₂²	1	1	yes	characteristic
17	C₅×#486	C₂²	1	1	yes	characteristic
18	C₅×#486	C₂²	1	1	yes	characteristic
19	C₅×#484	—	2	1	no	—
20	C₅×#482	—	2	2	no	—
21	C₅×#480	—	2	1	no	—
22	C₅×#478	—	2	2	no	—
23	C₅×#477	C₂²	1	2	yes	—
24	C₅×#477	C₂²	1	2	yes	—
25	C₅×#462	C₂²	1	2	yes	—
26	C₅×#460	C₂²	1	2	yes	—
27	C₅×#451	—	2	1	no	—
28	C₅×#448	—	2	1	no	—
29	C₅×#446	—	2	2	no	—
30	C₅×#446	C₂²	1	2	yes	—
31	C₅×#446	C₂²	1	2	yes	—
32	C₅×#440	—	2	2	no	—
33	C₄×C₅×Q₁₆	—	2	2	no	—
34	C₅×#432	—	2	2	no	—
35	C₅×#432	C₂²	1	1	yes	characteristic
36	C₅×#431	C₂²	1	1	yes	characteristic
37	C₅×#431	C₂²	1	1	yes	characteristic
38	C₅×#431	C₂²	1	1	yes	characteristic
39	C₅×#335	C₂²	1	2	yes	—
40	C₅×#334	C₂²	1	2	yes	—
41	C₅×#333	C₂²	1	2	yes	—
42	C₅×#333	C₂²	1	2	yes	—
43	C₅×#332	C₂²	1	2	yes	—
44	C₅×#331	C₂²	1	2	yes	—
45	#19442	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
46	C₂×C₅×#41	—	2	1	no	—
47	C₂²×C₅×Q₈	D₄	1	1	yes	characteristic
48	C₂×C₅×Q₁₆	—	2	2	no	—
49	C₂×C₅×SD₁₆	—	2	2	no	—
50	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
51	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
52	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
53	C₅×#127	C₂³	1	1	yes	characteristic
54	C₅×#125	—	2	1	no	—
55	C₅×#124	—	2	1	no	—
56	C₅×C₂²⋊Q₈	—	2	1	no	—
57	C₅×C₂²⋊Q₈	—	2	1	no	—
58	C₅×#121	—	2	1	no	—
59	C₅×#121	—	2	1	no	—
60	C₄×C₅×Q₈	—	2	1	no	—
61	C₄×C₅×Q₈	—	2	1	no	—
62	C₄×C₅×Q₈	—	2	1	no	—
63	C₄×C₅×Q₈	—	2	1	no	—
64	C₄×C₅×Q₈	D₄	1	2	yes	—
65	C₄×C₅×Q₈	C₂³	1	2	yes	—
66	C₄×C₅×D₄	—	2	1	no	—
67	C₄×C₅×D₄	—	2	1	no	—
68	C₅×#117	—	2	1	no	—
69	C₂×C₅×C₄⋊C₄	—	2	1	no	—
70	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
71	C₂×C₄²×C₅	—	2	1	no	—
72	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
73	C₅×#107	—	2	2	no	—
74	C₅×#107	—	2	2	no	—
75	C₅×#107	—	2	2	no	—
76	C₅×#106	—	2	2	no	—
77	C₅×C₄⋊C₈	—	2	2	no	—
78	C₅×C₄⋊C₈	—	2	2	no	—
79	C₅×C₄⋊C₈	D₄	1	2	yes	—
80	C₅×C₄⋊C₈	C₂³	1	2	yes	—
81	C₅×C₄⋊C₈	C₂³	1	2	yes	—
82	C₅×C₄⋊C₈	C₂³	1	2	yes	—
83	C₅×#103	—	2	2	no	—
84	C₅×#103	—	2	2	no	—
85	C₅×#103	—	2	2	no	—
86	C₅×#102	—	2	2	no	—
87	C₅×#102	—	2	2	no	—
88	C₅×#102	—	2	2	no	—
89	C₅×C₂²⋊C₈	—	2	1	no	—
90	C₅×C₂²⋊C₈	—	2	1	no	—
91	C₅×C₂²⋊C₈	—	2	1	no	—
92	C₅×C₂²⋊C₈	D₄	1	2	yes	—
93	C₅×#97	—	2	2	no	—
94	C₅×#97	—	2	2	no	—
95	C₅×#97	—	2	1	no	—
96	C₄×C₅×C₈	—	2	1	no	—
97	C₄×C₅×C₈	—	2	1	no	—
98	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
99	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
100	#3228	C₂×C₅	1	1	yes	characteristic
101	#3112	C₂×C₅	1	1	yes	characteristic
102	#3104	C₂×C₅	1	1	yes	characteristic, complemented
103	#2983	C₂×C₅	1	1	yes	characteristic, complemented
104	#1702	C₂×C₅	1	2	yes	complemented
105	#1698	C₂×C₅	1	2	yes	complemented
106	#1696	C₂×C₅	1	2	yes	complemented
107	#1692	C₂×C₅	1	2	yes	complemented
108	#1572	C₂×C₅	1	1	yes	characteristic, complemented
109	#1554	C₂×C₅	1	1	yes	characteristic, complemented
110	#1543	C₂×C₅	1	1	yes	characteristic
111	C₅×#41	—	8	2	no	—
112	C₂×C₅×Q₈	—	2	1	no	—
113	C₂×C₅×Q₈	—	2	1	no	—
114	C₂×C₅×Q₈	—	2	1	no	—
115	C₂×C₅×Q₈	—	2	1	no	—
116	C₂×C₅×Q₈	—	4	2	no	—
117	C₂×C₅×Q₈	C₂×D₄	1	2	yes	—
118	C₂×C₅×D₄	—	2	1	no	—
119	C₂×C₅×D₄	—	2	1	no	—
120	C₂×C₅×D₄	—	2	1	no	—
121	C₂×C₅×D₄	—	4	1	no	—
122	C₂²×C₄×C₅	—	2	1	no	—
123	C₂²×C₄×C₅	—	2	1	no	—
124	C₂²×C₄×C₅	—	4	1	no	—
125	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
126	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
127	C₂²×C₄×C₅	#41	1	1	yes	characteristic
128	C₅×Q₁₆	—	4	4	no	—
129	C₅×SD₁₆	—	4	4	no	—
130	C₂×C₅×C₈	—	2	2	no	—
131	C₂×C₅×C₈	—	2	2	no	—
132	C₂×C₅×C₈	—	2	2	no	—
133	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
134	C₂×C₅×C₈	C₂×D₄	1	2	yes	—
135	C₅×C₄⋊C₄	—	2	2	no	—
136	C₅×C₄⋊C₄	—	2	1	no	—
137	C₅×C₄⋊C₄	—	2	2	no	—
138	C₅×C₄⋊C₄	—	2	1	no	—
139	C₅×C₄⋊C₄	—	2	1	no	—
140	C₅×C₄⋊C₄	—	2	1	no	—
141	C₅×C₄⋊C₄	—	2	1	no	—
142	C₅×C₄⋊C₄	—	2	1	no	—
143	C₅×C₄⋊C₄	—	2	1	no	—
144	C₅×C₄⋊C₄	—	4	1	no	—
145	C₅×C₄⋊C₄	—	4	1	no	—
146	C₅×C₄⋊C₄	C₂×D₄	1	2	yes	—
147	C₅×C₂²⋊C₄	—	4	1	no	—
148	C₅×C₂²⋊C₄	—	4	1	no	—
149	C₅×C₂²⋊C₄	—	4	1	no	—
150	C₄²×C₅	—	2	2	no	—
151	C₄²×C₅	—	2	2	no	—
152	C₄²×C₅	—	4	1	no	—
153	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
154	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
155	C₄²×C₅	#41	1	1	yes	characteristic
156	C₄²×C₅	C₂⁴	1	1	yes	characteristic
157	#533	C₂²×C₅	1	1	yes	characteristic
158	#532	C₂²×C₅	1	1	yes	characteristic
159	C₂×C₄×Q₈	C₂²×C₅	1	1	yes	characteristic
160	#500	C₂²×C₅	1	1	yes	characteristic
161	#498	C₂²×C₅	1	1	yes	characteristic
162	#486	C₂²×C₅	1	1	yes	characteristic
163	#486	C₂²×C₅	1	1	yes	characteristic
164	#484	—	2	1	no	—
165	#482	—	2	2	no	—
166	#480	—	2	1	no	—
167	#478	—	2	2	no	—
168	#477	C₂²×C₅	1	2	yes	—
169	#477	C₂²×C₅	1	2	yes	—
170	#462	C₂²×C₅	1	2	yes	—
171	#460	C₂²×C₅	1	2	yes	—
172	#451	—	2	1	no	—
173	#448	—	2	1	no	—
174	#446	—	2	2	no	—
175	#446	C₂²×C₅	1	2	yes	—
176	#446	C₂²×C₅	1	2	yes	—
177	#440	—	2	2	no	—
178	C₄×Q₁₆	—	2	2	no	—
179	#432	—	2	2	no	—
180	#432	C₂²×C₅	1	1	yes	characteristic
181	#431	C₂²×C₅	1	1	yes	characteristic
182	#431	C₂²×C₅	1	1	yes	characteristic
183	#431	C₂²×C₅	1	1	yes	characteristic
184	#335	C₂²×C₅	1	2	yes	—
185	#334	C₂²×C₅	1	2	yes	—
186	#333	C₂²×C₅	1	2	yes	—
187	#333	C₂²×C₅	1	2	yes	—
188	#332	C₂²×C₅	1	2	yes	—
189	#331	C₂²×C₅	1	2	yes	—
190	C₂³×C₅	—	4	1	no	—
191	C₂³×C₅	#121	1	1	yes	characteristic
192	C₅×Q₈	—	2	2	no	—
193	C₅×Q₈	—	2	2	no	—
194	C₅×Q₈	—	4	2	no	—
195	C₅×Q₈	—	4	2	no	—
196	C₅×Q₈	—	8	1	no	—
197	C₅×Q₈	—	8	1	no	—
198	C₅×D₄	—	4	2	no	—
199	C₅×D₄	—	4	2	no	—
200	C₅×D₄	—	8	1	no	—
201	C₅×D₄	—	8	2	no	—
202	C₂×C₄×C₅	—	2	2	no	—
203	C₂×C₄×C₅	—	2	2	no	—
204	C₂×C₄×C₅	—	2	2	no	—
205	C₂×C₄×C₅	—	2	2	no	—
206	C₂×C₄×C₅	—	4	1	no	—
207	C₂×C₄×C₅	—	4	2	no	—
208	C₂×C₄×C₅	—	4	1	no	—
209	C₂×C₄×C₅	—	4	1	no	—
210	C₂×C₄×C₅	—	4	1	no	—
211	C₂×C₄×C₅	—	8	2	no	—
212	C₂×C₄×C₅	—	8	1	no	—
213	C₂×C₄×C₅	#121	1	1	yes	characteristic
214	C₂×C₄×C₅	#121	1	1	yes	characteristic
215	C₂×C₄×C₅	#121	1	1	yes	characteristic
216	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
217	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
218	C₂×C₄×C₅	C₂×#41	1	1	yes	characteristic
219	C₅×C₈	—	2	2	no	—
220	C₅×C₈	—	2	2	no	—
221	C₅×C₈	—	4	2	no	—
222	C₅×C₈	—	4	2	no	—
223	C₅×C₈	—	4	2	no	—
224	C₂×#41	—	2	1	no	—
225	C₂²×Q₈	C₅×D₄	1	1	yes	characteristic
226	C₂×Q₁₆	—	2	2	no	—
227	C₂×SD₁₆	—	2	2	no	—
228	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
229	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
230	C₄⋊Q₈	C₂³×C₅	1	1	yes	characteristic
231	#127	C₂³×C₅	1	1	yes	characteristic
232	#125	—	2	1	no	—
233	#124	—	2	1	no	—
234	C₂²⋊Q₈	—	2	1	no	—
235	C₂²⋊Q₈	—	2	1	no	—
236	#121	—	2	1	no	—
237	#121	—	2	1	no	—
238	C₄×Q₈	—	2	1	no	—
239	C₄×Q₈	—	2	1	no	—
240	C₄×Q₈	—	2	1	no	—
241	C₄×Q₈	—	2	1	no	—
242	C₄×Q₈	C₅×D₄	1	2	yes	—
243	C₄×Q₈	C₂³×C₅	1	2	yes	—
244	C₄×D₄	—	2	1	no	—
245	C₄×D₄	—	2	1	no	—
246	#117	—	2	1	no	—
247	C₂×C₄⋊C₄	—	2	1	no	—
248	C₂×C₄⋊C₄	C₅×D₄	1	1	yes	characteristic
249	C₂×C₄²	—	2	1	no	—
250	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
251	#107	—	2	2	no	—
252	#107	—	2	2	no	—
253	#107	—	2	2	no	—
254	#106	—	2	2	no	—
255	C₄⋊C₈	—	2	2	no	—
256	C₄⋊C₈	—	2	2	no	—
257	C₄⋊C₈	C₅×D₄	1	2	yes	—
258	C₄⋊C₈	C₂³×C₅	1	2	yes	—
259	C₄⋊C₈	C₂³×C₅	1	2	yes	—
260	C₄⋊C₈	C₂³×C₅	1	2	yes	—
261	#103	—	2	2	no	—
262	#103	—	2	2	no	—
263	#103	—	2	2	no	—
264	#102	—	2	2	no	—
265	#102	—	2	2	no	—
266	#102	—	2	2	no	—
267	C₂²⋊C₈	—	2	1	no	—
268	C₂²⋊C₈	—	2	1	no	—
269	C₂²⋊C₈	—	2	1	no	—
270	C₂²⋊C₈	C₅×D₄	1	2	yes	—
271	#97	—	2	2	no	—
272	#97	—	2	2	no	—
273	#97	—	2	1	no	—
274	C₄×C₈	—	2	1	no	—
275	C₄×C₈	—	2	1	no	—
276	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
277	C₄×C₈	C₂³×C₅	1	1	yes	characteristic
278	C₂²×C₅	—	2	1	no	—
279	C₂²×C₅	—	2	1	no	—
280	C₂²×C₅	—	2	1	no	—
281	C₂²×C₅	—	8	1	no	—
282	C₂²×C₅	—	8	1	no	—
283	C₂²×C₅	—	8	1	no	—
284	C₂²×C₅	C₂×#121	1	1	yes	characteristic
285	C₄×C₅	—	2	1	no	—
286	C₄×C₅	—	2	1	no	—
287	C₄×C₅	—	2	1	no	—
288	C₄×C₅	—	2	1	no	—
289	C₄×C₅	—	4	2	no	—
290	C₄×C₅	—	4	2	no	—
291	C₄×C₅	—	8	1	no	—
292	C₄×C₅	—	8	1	no	—
293	C₄×C₅	—	8	1	no	—
294	C₄×C₅	#575	1	2	yes	—
295	C₄×C₅	#578	1	2	yes	—
296	#41	—	8	2	no	—
297	C₂×Q₈	—	2	1	no	—
298	C₂×Q₈	—	2	1	no	—
299	C₂×Q₈	—	2	1	no	—
300	C₂×Q₈	—	2	1	no	—
301	C₂×Q₈	—	4	2	no	—
302	C₂×Q₈	C₂×C₅×D₄	1	2	yes	—
303	C₂×D₄	—	2	1	no	—
304	C₂×D₄	—	2	1	no	—
305	C₂×D₄	—	2	1	no	—
306	C₂×D₄	—	4	1	no	—
307	C₂²×C₄	—	2	1	no	—
308	C₂²×C₄	—	2	1	no	—
309	C₂²×C₄	—	4	1	no	—
310	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
311	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
312	C₂²×C₄	C₅×#41	1	1	yes	characteristic
313	Q₁₆	—	4	4	no	—
314	SD₁₆	—	4	4	no	—
315	C₂×C₈	—	2	2	no	—
316	C₂×C₈	—	2	2	no	—
317	C₂×C₈	—	2	2	no	—
318	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
319	C₂×C₈	C₂×C₅×D₄	1	2	yes	—
320	C₄⋊C₄	—	2	2	no	—
321	C₄⋊C₄	—	2	1	no	—
322	C₄⋊C₄	—	2	2	no	—
323	C₄⋊C₄	—	2	1	no	—
324	C₄⋊C₄	—	2	1	no	—
325	C₄⋊C₄	—	2	1	no	—
326	C₄⋊C₄	—	2	1	no	—
327	C₄⋊C₄	—	2	1	no	—
328	C₄⋊C₄	—	2	1	no	—
329	C₄⋊C₄	—	4	1	no	—
330	C₄⋊C₄	—	4	1	no	—
331	C₄⋊C₄	C₂×C₅×D₄	1	2	yes	—
332	C₂²⋊C₄	—	4	1	no	—
333	C₂²⋊C₄	—	4	1	no	—
334	C₂²⋊C₄	—	4	1	no	—
335	C₄²	—	2	2	no	—
336	C₄²	—	2	2	no	—
337	C₄²	—	4	1	no	—
338	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
339	C₄²	C₂×C₅×D₄	1	1	yes	characteristic
340	C₄²	C₅×#41	1	1	yes	characteristic
341	C₄²	C₂⁴×C₅	1	1	yes	characteristic
342	C₂×C₅	—	4	1	no	—
343	C₂×C₅	—	16	1	no	—
344	C₂×C₅	#3044	1	1	yes	characteristic
345	C₂×C₅	#3054	1	1	yes	characteristic
346	C₂×C₅	#3068	1	1	yes	characteristic
347	C₂³	—	4	1	no	—
348	C₂³	C₅×#121	1	1	yes	characteristic
349	Q₈	—	2	2	no	—
350	Q₈	—	2	2	no	—
351	Q₈	—	4	2	no	—
352	Q₈	—	4	2	no	—
353	Q₈	—	8	1	no	—
354	Q₈	—	8	1	no	—
355	D₄	—	4	2	no	—
356	D₄	—	4	2	no	—
357	D₄	—	8	1	no	—
358	D₄	—	8	2	no	—
359	C₂×C₄	—	2	2	no	—
360	C₂×C₄	—	2	2	no	—
361	C₂×C₄	—	2	2	no	—
362	C₂×C₄	—	2	2	no	—
363	C₂×C₄	—	4	1	no	—
364	C₂×C₄	—	4	2	no	—
365	C₂×C₄	—	4	1	no	—
366	C₂×C₄	—	4	1	no	—
367	C₂×C₄	—	4	1	no	—
368	C₂×C₄	—	8	2	no	—
369	C₂×C₄	—	8	1	no	—
370	C₂×C₄	C₅×#121	1	1	yes	characteristic
371	C₂×C₄	C₅×#121	1	1	yes	characteristic
372	C₂×C₄	C₅×#121	1	1	yes	characteristic
373	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
374	C₂×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
375	C₂×C₄	C₂×C₅×#41	1	1	yes	characteristic
376	C₈	—	2	2	no	—
377	C₈	—	2	2	no	—
378	C₈	—	4	2	no	—
379	C₈	—	4	2	no	—
380	C₈	—	4	2	no	—
381	C₅	#19442	1	1	yes	characteristic, direct product factor, Sylow
382	C₂²	—	2	1	no	—
383	C₂²	—	2	1	no	—
384	C₂²	—	2	1	no	—
385	C₂²	—	8	1	no	—
386	C₂²	—	8	1	no	—
387	C₂²	—	8	1	no	—
388	C₂²	C₂×C₅×#121	1	1	yes	characteristic
389	C₄	—	2	1	no	—
390	C₄	—	2	1	no	—
391	C₄	—	2	1	no	—
392	C₄	—	2	1	no	—
393	C₄	—	4	2	no	—
394	C₄	—	4	2	no	—
395	C₄	—	8	1	no	—
396	C₄	—	8	1	no	—
397	C₄	—	8	1	no	—
398	C₄	C₅×#575	1	2	yes	—
399	C₄	C₅×#578	1	2	yes	—
400	C₂	—	4	1	no	—
401	C₂	—	16	1	no	—
402	C₂	C₅×#3044	1	1	yes	characteristic
403	C₂	C₅×#3054	1	1	yes	characteristic
404	C₂	C₅×#3068	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₅	C₂×#121
commutator, Frattini, cosocle	C₄²	C₂⁴×C₅
prime radical	C₅×#532	C₂²
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂²×C₅ ◁ C₂×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
3. C₅×#3104	C₂	semidirect
4. C₅×#2983	C₂	semidirect
5. C₅×#1702	C₂	semidirect
6. C₅×#1698	C₂	semidirect
7. C₅×#1696	C₂	semidirect
8. C₅×#1692	C₂	semidirect
9. C₅×#1572	C₂	semidirect
10. C₅×#1554	C₂	semidirect
45. #19442	C₅	direct (N × H)
102. #3104	C₂×C₅	semidirect
103. #2983	C₂×C₅	semidirect
104. #1702	C₂×C₅	semidirect
105. #1698	C₂×C₅	semidirect
106. #1696	C₂×C₅	semidirect
107. #1692	C₂×C₅	semidirect
108. #1572	C₂×C₅	semidirect
109. #1554	C₂×C₅	semidirect
381. C₅	#19442	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×#3228	2
C₅×#3112	2
C₅×#3104	2
C₅×#2983	2
C₅×#1702	2
C₅×#1698	2
C₅×#1696	2
C₅×#1692	2
C₅×#1572	2
C₅×#1554	2
C₅×#1543	2
#19442	5

Subgroups — C5×#19442 #11942162

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#19442 #11942162