Subgroups — C₅×#32834 #11955554

Order 1280.

720 conjugacy classes of subgroups.

The subgroup lattice has 394 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#2868	C₂	1	1	yes	maximal, characteristic, complemented
2	C₅×#2860	C₂	1	1	yes	maximal, characteristic
3	C₅×#2099	C₂	1	2	yes	maximal, complemented
4	C₅×#2093	C₂	1	2	yes	maximal
5	C₅×#2083	C₂	1	2	yes	maximal, complemented
6	C₅×#2071	C₂	1	2	yes	maximal
7	C₅×#2057	C₂	1	2	yes	maximal, complemented
8	C₅×#2023	C₂	1	2	yes	maximal
9	C₅×#1839	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₅×C₄⋊Q₈	—	2	1	no	—
11	C₂×C₅×C₄⋊Q₈	—	2	1	no	—
12	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	—
13	C₂×C₅×#126	—	2	1	no	—
14	C₂×C₅×#107	C₂²	1	4	yes	—
15	C₂×C₅×#102	C₂²	1	4	yes	—
16	C₅×#390	C₂²	1	1	yes	characteristic
17	C₅×#390	C₂²	1	1	yes	characteristic
18	C₅×#390	C₂²	1	1	yes	characteristic
19	C₅×#389	C₂²	1	1	yes	characteristic
20	C₅×#389	C₂²	1	1	yes	characteristic
21	C₅×#389	C₂²	1	1	yes	characteristic
22	C₅×#388	—	2	1	no	—
23	C₅×#388	—	2	1	no	—
24	C₅×#388	—	2	1	no	—
25	C₅×#384	—	2	1	no	—
26	C₅×#384	—	2	1	no	—
27	C₅×#384	C₂²	1	2	yes	—
28	C₅×#384	C₂²	1	2	yes	—
29	C₄³×C₅	C₂²	1	1	yes	characteristic
30	C₅×#340	C₂²	1	4	yes	—
31	C₅×#340	C₂²	1	4	yes	—
32	C₅×#336	C₂²	1	2	yes	—
33	C₅×#336	C₂²	1	2	yes	—
34	C₅×#336	C₂²	1	2	yes	—
35	#32834	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
36	C₂²×C₅×Q₈	—	2	2	no	—
37	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
38	C₂²×C₅×C₈	C₂³	1	4	yes	—
39	C₅×C₄⋊Q₈	—	4	4	no	—
40	C₅×C₄⋊Q₈	—	4	4	no	—
41	C₅×C₄⋊Q₈	—	4	4	no	—
42	C₅×#126	—	4	4	no	—
43	C₂×C₅×C₄⋊C₄	—	2	2	no	—
44	C₂×C₅×C₄⋊C₄	—	2	2	no	—
45	C₂×C₅×C₄⋊C₄	—	2	2	no	—
46	C₂×C₅×C₄⋊C₄	—	2	2	no	—
47	C₂×C₅×C₄⋊C₄	—	2	2	no	—
48	C₂×C₅×C₄⋊C₄	—	2	1	no	—
49	C₂×C₅×C₄⋊C₄	—	2	1	no	—
50	C₂×C₅×C₄⋊C₄	—	2	1	no	—
51	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
52	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
53	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
54	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
55	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
56	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
57	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
58	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
59	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
60	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
61	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
62	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
63	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
64	C₂×C₄²×C₅	D₄	1	1	yes	characteristic
65	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
66	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
67	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
68	C₅×#107	—	4	4	no	—
69	C₅×#102	—	4	4	no	—
70	C₅×#95	—	2	1	no	—
71	C₅×#95	—	2	1	no	—
72	C₅×#95	—	2	1	no	—
73	#2868	C₂×C₅	1	1	yes	characteristic, complemented
74	#2860	C₂×C₅	1	1	yes	characteristic
75	#2099	C₂×C₅	1	2	yes	complemented
76	#2093	C₂×C₅	1	2	yes	—
77	#2083	C₂×C₅	1	2	yes	complemented
78	#2071	C₂×C₅	1	2	yes	—
79	#2057	C₂×C₅	1	2	yes	complemented
80	#2023	C₂×C₅	1	2	yes	—
81	#1839	C₂×C₅	1	1	yes	characteristic, complemented
82	C₂⁴×C₅	—	2	1	no	—
83	C₂×C₅×Q₈	—	4	4	no	—
84	C₂×C₅×Q₈	—	4	4	no	—
85	C₂×C₅×Q₈	—	4	4	no	—
86	C₂×C₅×D₄	—	2	2	no	—
87	C₂×C₅×D₄	—	2	2	no	—
88	C₂×C₅×D₄	—	2	2	no	—
89	C₂²×C₄×C₅	—	2	1	no	—
90	C₂²×C₄×C₅	—	2	1	no	—
91	C₂²×C₄×C₅	—	2	1	no	—
92	C₂²×C₄×C₅	—	2	4	no	—
93	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
94	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
95	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
96	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
97	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
98	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
99	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
100	C₂×C₅×C₈	—	2	4	no	—
101	C₂×C₅×C₈	—	2	4	no	—
102	C₂×C₅×C₈	—	2	4	no	—
103	C₅×C₄⋊C₄	—	2	4	no	—
104	C₅×C₄⋊C₄	—	2	4	no	—
105	C₅×C₄⋊C₄	—	2	2	no	—
106	C₅×C₄⋊C₄	—	2	2	no	—
107	C₅×C₄⋊C₄	—	2	2	no	—
108	C₅×C₄⋊C₄	—	4	4	no	—
109	C₅×C₄⋊C₄	—	4	4	no	—
110	C₅×C₄⋊C₄	—	4	2	no	—
111	C₅×C₄⋊C₄	—	4	2	no	—
112	C₅×C₄⋊C₄	—	4	2	no	—
113	C₅×C₄⋊C₄	—	4	4	no	—
114	C₅×C₄⋊C₄	—	4	4	no	—
115	C₅×C₄⋊C₄	—	4	4	no	—
116	C₅×C₂²⋊C₄	—	4	2	no	—
117	C₅×C₂²⋊C₄	—	4	2	no	—
118	C₅×C₂²⋊C₄	—	4	2	no	—
119	C₅×C₂²⋊C₄	—	4	2	no	—
120	C₅×C₂²⋊C₄	—	4	2	no	—
121	C₅×C₂²⋊C₄	—	4	2	no	—
122	C₄²×C₅	—	2	2	no	—
123	C₄²×C₅	—	2	2	no	—
124	C₄²×C₅	—	2	2	no	—
125	C₄²×C₅	—	2	2	no	—
126	C₄²×C₅	—	2	2	no	—
127	C₄²×C₅	—	2	2	no	—
128	C₄²×C₅	D₈	1	4	yes	—
129	C₂×C₄⋊Q₈	—	2	1	no	—
130	C₂×C₄⋊Q₈	—	2	1	no	—
131	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	—
132	C₂×#126	—	2	1	no	—
133	C₂×#107	C₂²×C₅	1	4	yes	—
134	C₂×#102	C₂²×C₅	1	4	yes	—
135	#390	C₂²×C₅	1	1	yes	characteristic
136	#390	C₂²×C₅	1	1	yes	characteristic
137	#390	C₂²×C₅	1	1	yes	characteristic
138	#389	C₂²×C₅	1	1	yes	characteristic
139	#389	C₂²×C₅	1	1	yes	characteristic
140	#389	C₂²×C₅	1	1	yes	characteristic
141	#388	—	2	1	no	—
142	#388	—	2	1	no	—
143	#388	—	2	1	no	—
144	#384	—	2	1	no	—
145	#384	—	2	1	no	—
146	#384	C₂²×C₅	1	2	yes	—
147	#384	C₂²×C₅	1	2	yes	—
148	C₄³	C₂²×C₅	1	1	yes	characteristic
149	#340	C₂²×C₅	1	4	yes	—
150	#340	C₂²×C₅	1	4	yes	—
151	#336	C₂²×C₅	1	2	yes	—
152	#336	C₂²×C₅	1	2	yes	—
153	#336	C₂²×C₅	1	2	yes	—
154	C₂³×C₅	—	4	1	no	—
155	C₂³×C₅	—	4	1	no	—
156	C₂³×C₅	—	4	1	no	—
157	C₂³×C₅	—	4	1	no	—
158	C₂³×C₅	—	4	1	no	—
159	C₂³×C₅	—	4	1	no	—
160	C₂³×C₅	—	4	1	no	—
161	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
162	C₅×Q₈	—	8	8	no	—
163	C₅×D₄	—	4	4	no	—
164	C₂×C₄×C₅	—	2	1	no	—
165	C₂×C₄×C₅	—	2	1	no	—
166	C₂×C₄×C₅	—	2	1	no	—
167	C₂×C₄×C₅	—	2	1	no	—
168	C₂×C₄×C₅	—	2	1	no	—
169	C₂×C₄×C₅	—	2	1	no	—
170	C₂×C₄×C₅	—	2	1	no	—
171	C₂×C₄×C₅	—	2	1	no	—
172	C₂×C₄×C₅	—	2	1	no	—
173	C₂×C₄×C₅	—	2	1	no	—
174	C₂×C₄×C₅	—	2	1	no	—
175	C₂×C₄×C₅	—	2	1	no	—
176	C₂×C₄×C₅	—	4	4	no	—
177	C₂×C₄×C₅	—	4	1	no	—
178	C₂×C₄×C₅	—	4	1	no	—
179	C₂×C₄×C₅	—	4	1	no	—
180	C₂×C₄×C₅	—	4	1	no	—
181	C₂×C₄×C₅	—	4	1	no	—
182	C₂×C₄×C₅	—	4	1	no	—
183	C₂×C₄×C₅	—	4	4	no	—
184	C₂×C₄×C₅	—	4	1	no	—
185	C₂×C₄×C₅	—	4	4	no	—
186	C₂×C₄×C₅	—	4	1	no	—
187	C₂×C₄×C₅	—	4	1	no	—
188	C₂×C₄×C₅	C₂×D₈	1	2	yes	—
189	C₂×C₄×C₅	C₂×D₈	1	2	yes	—
190	C₂×C₄×C₅	C₂×D₈	1	2	yes	—
191	C₂×C₄×C₅	AGL(1,ℤ/8)	1	2	yes	—
192	C₂×C₄×C₅	#137	1	2	yes	—
193	C₂×C₄×C₅	#137	1	2	yes	—
194	C₂×C₄×C₅	H(5,𝔽₂)	1	2	yes	—
195	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
196	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
197	C₅×C₈	—	4	4	no	—
198	C₂²×Q₈	—	2	2	no	—
199	C₂²×D₄	C₂³×C₅	1	1	yes	characteristic
200	C₂²×C₈	C₂³×C₅	1	4	yes	—
201	C₄⋊Q₈	—	4	4	no	—
202	C₄⋊Q₈	—	4	4	no	—
203	C₄⋊Q₈	—	4	4	no	—
204	#126	—	4	4	no	—
205	C₂×C₄⋊C₄	—	2	1	no	—
206	C₂×C₄⋊C₄	—	2	1	no	—
207	C₂×C₄⋊C₄	—	2	1	no	—
208	C₂×C₄⋊C₄	—	2	2	no	—
209	C₂×C₄⋊C₄	—	2	2	no	—
210	C₂×C₄⋊C₄	—	2	2	no	—
211	C₂×C₄⋊C₄	—	2	2	no	—
212	C₂×C₄⋊C₄	—	2	2	no	—
213	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
214	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
215	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
216	C₂×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
217	C₂×C₂²⋊C₄	—	2	1	no	—
218	C₂×C₂²⋊C₄	—	2	1	no	—
219	C₂×C₂²⋊C₄	—	2	1	no	—
220	C₂×C₂²⋊C₄	—	2	1	no	—
221	C₂×C₂²⋊C₄	—	2	1	no	—
222	C₂×C₂²⋊C₄	—	2	1	no	—
223	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
224	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
225	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
226	C₂×C₄²	C₅×D₄	1	1	yes	characteristic
227	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
228	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
229	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
230	#107	—	4	4	no	—
231	#102	—	4	4	no	—
232	#95	—	2	1	no	—
233	#95	—	2	1	no	—
234	#95	—	2	1	no	—
235	C₂²×C₅	—	8	1	no	—
236	C₂²×C₅	—	8	1	no	—
237	C₂²×C₅	—	8	1	no	—
238	C₂²×C₅	—	8	1	no	—
239	C₂²×C₅	—	8	1	no	—
240	C₂²×C₅	—	8	1	no	—
241	C₂²×C₅	—	8	1	no	—
242	C₂²×C₅	#535	1	1	yes	characteristic
243	C₂²×C₅	#536	1	1	yes	characteristic
244	C₂²×C₅	#536	1	1	yes	characteristic
245	C₂²×C₅	C₂²×D₈	1	1	yes	characteristic
246	C₂²×C₅	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
247	C₂²×C₅	C₂×#137	1	1	yes	characteristic
248	C₂²×C₅	C₂×#137	1	1	yes	characteristic
249	C₄×C₅	—	2	2	no	—
250	C₄×C₅	—	2	2	no	—
251	C₄×C₅	—	2	2	no	—
252	C₄×C₅	—	2	2	no	—
253	C₄×C₅	—	2	2	no	—
254	C₄×C₅	—	2	2	no	—
255	C₄×C₅	—	8	1	no	—
256	C₄×C₅	—	8	4	no	—
257	C₄×C₅	—	8	1	no	—
258	C₄×C₅	—	8	1	no	—
259	C₄×C₅	#563	1	4	yes	—
260	C₂⁴	—	2	1	no	—
261	C₂×Q₈	—	4	4	no	—
262	C₂×Q₈	—	4	4	no	—
263	C₂×Q₈	—	4	4	no	—
264	C₂×D₄	—	2	2	no	—
265	C₂×D₄	—	2	2	no	—
266	C₂×D₄	—	2	2	no	—
267	C₂²×C₄	—	2	1	no	—
268	C₂²×C₄	—	2	1	no	—
269	C₂²×C₄	—	2	1	no	—
270	C₂²×C₄	—	2	4	no	—
271	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
272	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
273	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
274	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
275	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
276	C₂²×C₄	C₂×C₅×D₄	1	1	yes	characteristic
277	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
278	C₂×C₈	—	2	4	no	—
279	C₂×C₈	—	2	4	no	—
280	C₂×C₈	—	2	4	no	—
281	C₄⋊C₄	—	2	4	no	—
282	C₄⋊C₄	—	2	2	no	—
283	C₄⋊C₄	—	2	4	no	—
284	C₄⋊C₄	—	2	2	no	—
285	C₄⋊C₄	—	2	2	no	—
286	C₄⋊C₄	—	4	4	no	—
287	C₄⋊C₄	—	4	4	no	—
288	C₄⋊C₄	—	4	2	no	—
289	C₄⋊C₄	—	4	2	no	—
290	C₄⋊C₄	—	4	2	no	—
291	C₄⋊C₄	—	4	4	no	—
292	C₄⋊C₄	—	4	4	no	—
293	C₄⋊C₄	—	4	4	no	—
294	C₂²⋊C₄	—	4	2	no	—
295	C₂²⋊C₄	—	4	2	no	—
296	C₂²⋊C₄	—	4	2	no	—
297	C₂²⋊C₄	—	4	2	no	—
298	C₂²⋊C₄	—	4	2	no	—
299	C₂²⋊C₄	—	4	2	no	—
300	C₄²	—	2	2	no	—
301	C₄²	—	2	2	no	—
302	C₄²	—	2	2	no	—
303	C₄²	—	2	2	no	—
304	C₄²	—	2	2	no	—
305	C₄²	—	2	2	no	—
306	C₄²	C₅×D₈	1	4	yes	—
307	C₂×C₅	—	16	1	no	—
308	C₂×C₅	#2821	1	1	yes	characteristic
309	C₂×C₅	#3205	1	1	yes	characteristic
310	C₂×C₅	#3218	1	1	yes	characteristic
311	C₂×C₅	#3226	1	1	yes	characteristic
312	C₂×C₅	#3226	1	1	yes	characteristic
313	C₂×C₅	#3238	1	1	yes	characteristic
314	C₂×C₅	#3239	1	1	yes	characteristic
315	C₂³	—	4	1	no	—
316	C₂³	—	4	1	no	—
317	C₂³	—	4	1	no	—
318	C₂³	—	4	1	no	—
319	C₂³	—	4	1	no	—
320	C₂³	—	4	1	no	—
321	C₂³	—	4	1	no	—
322	C₂³	C₂²×C₅×D₄	1	1	yes	characteristic
323	Q₈	—	8	8	no	—
324	D₄	—	4	4	no	—
325	C₂×C₄	—	2	1	no	—
326	C₂×C₄	—	2	1	no	—
327	C₂×C₄	—	2	1	no	—
328	C₂×C₄	—	2	1	no	—
329	C₂×C₄	—	2	1	no	—
330	C₂×C₄	—	2	1	no	—
331	C₂×C₄	—	2	1	no	—
332	C₂×C₄	—	2	1	no	—
333	C₂×C₄	—	2	1	no	—
334	C₂×C₄	—	2	1	no	—
335	C₂×C₄	—	2	1	no	—
336	C₂×C₄	—	2	1	no	—
337	C₂×C₄	—	4	4	no	—
338	C₂×C₄	—	4	1	no	—
339	C₂×C₄	—	4	1	no	—
340	C₂×C₄	—	4	1	no	—
341	C₂×C₄	—	4	1	no	—
342	C₂×C₄	—	4	1	no	—
343	C₂×C₄	—	4	1	no	—
344	C₂×C₄	—	4	4	no	—
345	C₂×C₄	—	4	1	no	—
346	C₂×C₄	—	4	4	no	—
347	C₂×C₄	—	4	1	no	—
348	C₂×C₄	—	4	1	no	—
349	C₂×C₄	C₂×C₅×D₈	1	2	yes	—
350	C₂×C₄	C₂×C₅×D₈	1	2	yes	—
351	C₂×C₄	C₂×C₅×D₈	1	2	yes	—
352	C₂×C₄	C₅×AGL(1,ℤ/8)	1	2	yes	—
353	C₂×C₄	C₅×#137	1	2	yes	—
354	C₂×C₄	C₅×#137	1	2	yes	—
355	C₂×C₄	C₅×H(5,𝔽₂)	1	2	yes	—
356	C₂×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
357	C₂×C₄	C₅×2₋¹⁺⁴	1	2	yes	—
358	C₈	—	4	4	no	—
359	C₅	#32834	1	1	yes	characteristic, direct product factor, Sylow
360	C₂²	—	8	1	no	—
361	C₂²	—	8	1	no	—
362	C₂²	—	8	1	no	—
363	C₂²	—	8	1	no	—
364	C₂²	—	8	1	no	—
365	C₂²	—	8	1	no	—
366	C₂²	—	8	1	no	—
367	C₂²	C₅×#535	1	1	yes	characteristic
368	C₂²	C₅×#536	1	1	yes	characteristic
369	C₂²	C₅×#536	1	1	yes	characteristic
370	C₂²	C₂²×C₅×D₈	1	1	yes	characteristic
371	C₂²	C₂×C₅×AGL(1,ℤ/8)	1	1	yes	characteristic
372	C₂²	C₂×C₅×#137	1	1	yes	characteristic
373	C₂²	C₂×C₅×#137	1	1	yes	characteristic
374	C₄	—	2	2	no	—
375	C₄	—	2	2	no	—
376	C₄	—	2	2	no	—
377	C₄	—	2	2	no	—
378	C₄	—	2	2	no	—
379	C₄	—	2	2	no	—
380	C₄	—	8	4	no	—
381	C₄	—	8	1	no	—
382	C₄	—	8	1	no	—
383	C₄	—	8	1	no	—
384	C₄	C₅×#563	1	4	yes	—
385	C₂	—	16	1	no	—
386	C₂	C₅×#2821	1	1	yes	characteristic
387	C₂	C₅×#3205	1	1	yes	characteristic
388	C₂	C₅×#3218	1	1	yes	characteristic
389	C₂	C₅×#3226	1	1	yes	characteristic
390	C₂	C₅×#3226	1	1	yes	characteristic
391	C₂	C₅×#3238	1	1	yes	characteristic
392	C₂	C₅×#3239	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₅	C₂²×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁴×C₅
prime radical	C₂²×C₅×D₄	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ C₄³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#2868	C₂	semidirect
3. C₅×#2099	C₂	semidirect
5. C₅×#2083	C₂	semidirect
7. C₅×#2057	C₂	semidirect
9. C₅×#1839	C₂	semidirect
35. #32834	C₅	direct (N × H)
73. #2868	C₂×C₅	semidirect
75. #2099	C₂×C₅	semidirect
77. #2083	C₂×C₅	semidirect
79. #2057	C₂×C₅	semidirect
81. #1839	C₂×C₅	semidirect
359. C₅	#32834	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×#2868	2
C₅×#2860	2
C₅×#2099	2
C₅×#2093	2
C₅×#2083	2
C₅×#2071	2
C₅×#2057	2
C₅×#2023	2
C₅×#1839	2
#32834	5

Subgroups — C5×#32834 #11955554

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#32834 #11955554