Subgroups — C₅×#33422 #11956142

Order 1280.

600 conjugacy classes of subgroups.

The subgroup lattice has 338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#405	C₂	1	1	yes	maximal, characteristic
2	C₅×#2164	C₂	1	4	yes	maximal, complemented
3	C₅×#2163	C₂	1	2	yes	maximal, complemented
4	C₅×#2162	C₂	1	2	yes	maximal, complemented
5	C₅×#2151	C₂	1	2	yes	maximal, complemented
6	C₅×#2112	C₂	1	1	yes	maximal, characteristic
7	C₂×C₅×C₂²⋊C₁₆	C₂	1	1	yes	maximal, characteristic
8	C₅×#2108	C₂	1	2	yes	maximal, complemented
9	C₂²×C₅×M₁₆	C₄	1	1	yes	characteristic
10	C₂³×C₅×C₈	C₂²	1	1	yes	characteristic
11	C₂×C₅×#117	C₄	1	1	yes	characteristic
12	C₂×C₅×M₃₂	C₂²	1	2	yes	—
13	C₂²×C₅×C₁₆	C₂²	1	2	yes	—
14	C₅×#405	C₄	1	2	yes	—
15	C₅×#405	C₄	1	1	yes	characteristic
16	C₅×#405	C₄	1	1	yes	characteristic
17	C₅×#405	C₂²	1	1	yes	characteristic
18	C₅×#405	C₂²	1	1	yes	characteristic
19	C₅×#405	C₂²	1	2	yes	—
20	C₂×C₅×#97	C₄	1	2	yes	—
21	C₂×C₄×C₅×C₈	C₂²	1	2	yes	—
22	C₅×C₄⋊C₁₆	C₂²	1	4	yes	complemented
23	C₅×C₄⋊C₁₆	C₂²	1	4	yes	complemented
24	C₅×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
25	C₅×C₂²⋊C₁₆	C₂²	1	1	yes	characteristic
26	C₅×C₂²⋊C₁₆	C₂²	1	2	yes	—
27	C₅×C₂²⋊C₁₆	C₂²	1	2	yes	—
28	C₅×C₂²⋊C₁₆	C₂²	1	2	yes	—
29	C₅×#346	C₂²	1	4	yes	complemented
30	C₄×C₅×C₁₆	C₂²	1	4	yes	complemented
31	#33422	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
32	C₂³×C₄×C₅	C₂×C₄	1	1	yes	characteristic
33	C₂×C₅×M₁₆	—	2	4	no	—
34	C₂×C₅×M₁₆	C₂×C₄	1	1	yes	characteristic
35	C₂×C₅×M₁₆	C₂×C₄	1	2	yes	—
36	C₂×C₅×M₁₆	C₂×C₄	1	1	yes	characteristic
37	C₂²×C₅×C₈	—	2	4	no	—
38	C₂²×C₅×C₈	C₂×C₄	1	2	yes	—
39	C₂²×C₅×C₈	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₅×C₈	C₂×C₄	1	1	yes	characteristic
41	C₂²×C₅×C₈	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
43	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
44	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
45	C₅×#117	C₈	1	1	yes	characteristic
46	C₅×#117	C₈	1	1	yes	characteristic
47	C₅×#117	C₈	1	2	yes	—
48	C₅×#117	C₂×C₄	1	2	yes	—
49	C₅×#117	C₂×C₄	1	1	yes	characteristic
50	C₅×#117	C₂×C₄	1	1	yes	characteristic
51	C₂×C₅×C₄⋊C₄	C₈	1	1	yes	characteristic
52	C₂×C₅×C₄⋊C₄	C₈	1	1	yes	characteristic
53	C₂×C₅×C₂²⋊C₄	C₈	1	2	yes	—
54	C₂×C₄²×C₅	C₂×C₄	1	2	yes	—
55	C₅×M₃₂	—	2	4	no	—
56	C₂×C₅×C₁₆	—	2	4	no	—
57	C₂×C₅×C₁₆	C₂³	1	2	yes	—
58	C₂×C₅×C₁₆	C₂³	1	4	yes	—
59	C₂×C₅×C₁₆	C₂³	1	2	yes	—
60	C₅×#97	C₂×C₄	1	2	yes	—
61	C₅×#97	C₂×C₄	1	2	yes	—
62	C₅×#97	C₂×C₄	1	2	yes	—
63	C₅×#97	C₂×C₄	1	2	yes	—
64	C₄×C₅×C₈	C₂×C₄	1	2	yes	—
65	C₄×C₅×C₈	C₂×C₄	1	2	yes	—
66	C₄×C₅×C₈	C₂³	1	2	yes	—
67	C₄×C₅×C₈	C₂³	1	2	yes	—
68	C₂×#405	C₂×C₅	1	1	yes	characteristic
69	#2164	C₂×C₅	1	4	yes	complemented
70	#2163	C₂×C₅	1	2	yes	complemented
71	#2162	C₂×C₅	1	2	yes	complemented
72	#2151	C₂×C₅	1	2	yes	complemented
73	#2112	C₂×C₅	1	1	yes	characteristic
74	C₂×C₂²⋊C₁₆	C₂×C₅	1	1	yes	characteristic
75	#2108	C₂×C₅	1	2	yes	complemented
76	C₂⁴×C₅	C₂×C₈	1	1	yes	characteristic
77	C₂²×C₄×C₅	—	2	2	no	—
78	C₂²×C₄×C₅	—	2	2	no	—
79	C₂²×C₄×C₅	C₂×C₈	1	2	yes	—
80	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
81	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
82	C₂²×C₄×C₅	C₂×C₈	1	1	yes	characteristic
83	C₂²×C₄×C₅	C₂×C₈	1	2	yes	—
84	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
85	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
86	C₂²×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
87	C₅×M₁₆	—	2	2	no	—
88	C₅×M₁₆	—	2	4	no	—
89	C₅×M₁₆	M₁₆	1	4	yes	—
90	C₂×C₅×C₈	—	2	2	no	—
91	C₂×C₅×C₈	—	2	2	no	—
92	C₂×C₅×C₈	—	2	2	no	—
93	C₂×C₅×C₈	—	2	4	no	—
94	C₂×C₅×C₈	—	2	2	no	—
95	C₂×C₅×C₈	—	2	2	no	—
96	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
97	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
98	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
99	C₂×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
100	C₂×C₅×C₈	C₂²×C₄	1	2	yes	—
101	C₂×C₅×C₈	#41	1	4	yes	—
102	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
103	C₅×C₄⋊C₄	C₂×C₈	1	2	yes	—
104	C₅×C₄⋊C₄	C₂×C₈	1	2	yes	—
105	C₅×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
106	C₅×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
107	C₅×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
108	C₅×C₄⋊C₄	C₂×C₈	1	1	yes	characteristic
109	C₅×C₂²⋊C₄	C₂×C₈	1	2	yes	—
110	C₅×C₂²⋊C₄	C₂×C₈	1	2	yes	—
111	C₅×C₂²⋊C₄	C₂×C₈	1	2	yes	—
112	C₅×C₂²⋊C₄	C₂×C₈	1	2	yes	—
113	C₄²×C₅	C₂×C₈	1	2	yes	—
114	C₄²×C₅	C₂×C₈	1	2	yes	—
115	C₄²×C₅	C₂²×C₄	1	2	yes	—
116	C₄²×C₅	C₂²×C₄	1	2	yes	—
117	C₅×C₁₆	—	2	2	no	—
118	C₅×C₁₆	—	2	2	no	—
119	C₅×C₁₆	—	2	4	no	—
120	C₂²×M₁₆	C₄×C₅	1	1	yes	characteristic
121	C₂³×C₈	C₂²×C₅	1	1	yes	characteristic
122	C₂×#117	C₄×C₅	1	1	yes	characteristic
123	C₂×M₃₂	C₂²×C₅	1	2	yes	—
124	C₂²×C₁₆	C₂²×C₅	1	2	yes	—
125	#405	C₄×C₅	1	1	yes	characteristic
126	#405	C₄×C₅	1	2	yes	—
127	#405	C₄×C₅	1	1	yes	characteristic
128	#405	C₂²×C₅	1	1	yes	characteristic
129	#405	C₂²×C₅	1	1	yes	characteristic
130	#405	C₂²×C₅	1	2	yes	—
131	C₂×#97	C₄×C₅	1	2	yes	—
132	C₂×C₄×C₈	C₂²×C₅	1	2	yes	—
133	C₄⋊C₁₆	C₂²×C₅	1	4	yes	complemented
134	C₄⋊C₁₆	C₂²×C₅	1	4	yes	complemented
135	C₂²⋊C₁₆	C₂²×C₅	1	1	yes	characteristic
136	C₂²⋊C₁₆	C₂²×C₅	1	1	yes	characteristic
137	C₂²⋊C₁₆	C₂²×C₅	1	2	yes	—
138	C₂²⋊C₁₆	C₂²×C₅	1	2	yes	—
139	C₂²⋊C₁₆	C₂²×C₅	1	2	yes	—
140	#346	C₂²×C₅	1	4	yes	complemented
141	C₄×C₁₆	C₂²×C₅	1	4	yes	complemented
142	C₂³×C₅	—	2	2	no	—
143	C₂³×C₅	—	2	2	no	—
144	C₂³×C₅	—	4	1	no	—
145	C₂³×C₅	C₂²×C₈	1	1	yes	characteristic
146	C₂³×C₅	C₂²×C₈	1	1	yes	characteristic
147	C₂³×C₅	C₂²×C₈	1	1	yes	characteristic
148	C₂×C₄×C₅	—	2	2	no	—
149	C₂×C₄×C₅	—	2	4	no	—
150	C₂×C₄×C₅	—	2	1	no	—
151	C₂×C₄×C₅	—	2	1	no	—
152	C₂×C₄×C₅	—	2	1	no	—
153	C₂×C₄×C₅	—	2	1	no	—
154	C₂×C₄×C₅	—	2	2	no	—
155	C₂×C₄×C₅	—	2	2	no	—
156	C₂×C₄×C₅	—	4	2	no	—
157	C₂×C₄×C₅	#117	1	2	yes	—
158	C₂×C₄×C₅	C₂²×C₈	1	1	yes	characteristic
159	C₂×C₄×C₅	C₂²×C₈	1	2	yes	—
160	C₂×C₄×C₅	C₂²×C₈	1	2	yes	—
161	C₂×C₄×C₅	C₂²×C₈	1	2	yes	—
162	C₂×C₄×C₅	C₂²×C₈	1	2	yes	—
163	C₂×C₄×C₅	C₂²×C₈	1	1	yes	characteristic
164	C₂×C₄×C₅	C₂²×C₈	1	1	yes	characteristic
165	C₂×C₄×C₅	C₂×M₁₆	1	2	yes	—
166	C₂×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
167	C₅×C₈	—	2	1	no	—
168	C₅×C₈	—	2	1	no	—
169	C₅×C₈	—	2	2	no	—
170	C₅×C₈	#117	1	2	yes	—
171	C₅×C₈	C₂×M₁₆	1	4	yes	—
172	C₅×C₈	C₂×#41	1	2	yes	—
173	C₂³×C₄	C₂×C₄×C₅	1	1	yes	characteristic
174	C₂×M₁₆	—	2	4	no	—
175	C₂×M₁₆	C₂×C₄×C₅	1	1	yes	characteristic
176	C₂×M₁₆	C₂×C₄×C₅	1	2	yes	—
177	C₂×M₁₆	C₂×C₄×C₅	1	1	yes	characteristic
178	C₂²×C₈	—	2	4	no	—
179	C₂²×C₈	C₂×C₄×C₅	1	1	yes	characteristic
180	C₂²×C₈	C₂×C₄×C₅	1	1	yes	characteristic
181	C₂²×C₈	C₂×C₄×C₅	1	1	yes	characteristic
182	C₂²×C₈	C₂×C₄×C₅	1	2	yes	—
183	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
184	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
185	C₂²×C₈	C₂³×C₅	1	1	yes	characteristic
186	#117	C₅×C₈	1	1	yes	characteristic
187	#117	C₅×C₈	1	1	yes	characteristic
188	#117	C₅×C₈	1	2	yes	—
189	#117	C₂×C₄×C₅	1	2	yes	—
190	#117	C₂×C₄×C₅	1	1	yes	characteristic
191	#117	C₂×C₄×C₅	1	1	yes	characteristic
192	C₂×C₄⋊C₄	C₅×C₈	1	1	yes	characteristic
193	C₂×C₄⋊C₄	C₅×C₈	1	1	yes	characteristic
194	C₂×C₂²⋊C₄	C₅×C₈	1	2	yes	—
195	C₂×C₄²	C₂×C₄×C₅	1	2	yes	—
196	M₃₂	—	2	4	no	—
197	C₂×C₁₆	—	2	4	no	—
198	C₂×C₁₆	C₂³×C₅	1	2	yes	—
199	C₂×C₁₆	C₂³×C₅	1	4	yes	—
200	C₂×C₁₆	C₂³×C₅	1	2	yes	—
201	#97	C₂×C₄×C₅	1	2	yes	—
202	#97	C₂×C₄×C₅	1	2	yes	—
203	#97	C₂×C₄×C₅	1	2	yes	—
204	#97	C₂×C₄×C₅	1	2	yes	—
205	C₄×C₈	C₂×C₄×C₅	1	2	yes	—
206	C₄×C₈	C₂×C₄×C₅	1	2	yes	—
207	C₄×C₈	C₂³×C₅	1	2	yes	—
208	C₄×C₈	C₂³×C₅	1	2	yes	—
209	C₂²×C₅	—	2	1	no	—
210	C₂²×C₅	—	2	1	no	—
211	C₂²×C₅	—	2	1	no	—
212	C₂²×C₅	—	2	1	no	—
213	C₂²×C₅	—	2	1	no	—
214	C₂²×C₅	—	2	1	no	—
215	C₂²×C₅	—	2	1	no	—
216	C₂²×C₅	—	4	4	no	—
217	C₂²×C₅	#431	1	2	yes	—
218	C₂²×C₅	#504	1	2	yes	—
219	C₂²×C₅	C₂³×C₈	1	1	yes	characteristic
220	C₄×C₅	—	2	2	no	—
221	C₄×C₅	—	2	2	no	—
222	C₄×C₅	—	2	2	no	—
223	C₄×C₅	—	2	2	no	—
224	C₄×C₅	—	2	1	no	—
225	C₄×C₅	—	2	1	no	—
226	C₄×C₅	#431	1	2	yes	—
227	C₄×C₅	C₂×#117	1	1	yes	characteristic
228	C₄×C₅	C₂²×M₁₆	1	1	yes	characteristic
229	C₂⁴	C₂×C₅×C₈	1	1	yes	characteristic
230	C₂²×C₄	—	2	2	no	—
231	C₂²×C₄	—	2	2	no	—
232	C₂²×C₄	C₂×C₅×C₈	1	2	yes	—
233	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
234	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
235	C₂²×C₄	C₂×C₅×C₈	1	1	yes	characteristic
236	C₂²×C₄	C₂×C₅×C₈	1	2	yes	—
237	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
238	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
240	M₁₆	—	2	2	no	—
241	M₁₆	—	2	4	no	—
242	M₁₆	C₅×M₁₆	1	4	yes	—
243	C₂×C₈	—	2	2	no	—
244	C₂×C₈	—	2	2	no	—
245	C₂×C₈	—	2	2	no	—
246	C₂×C₈	—	2	4	no	—
247	C₂×C₈	—	2	2	no	—
248	C₂×C₈	—	2	2	no	—
249	C₂×C₈	C₂²×C₄×C₅	1	1	yes	characteristic
250	C₂×C₈	C₂²×C₄×C₅	1	2	yes	—
251	C₂×C₈	C₂²×C₄×C₅	1	1	yes	characteristic
252	C₂×C₈	C₂²×C₄×C₅	1	1	yes	characteristic
253	C₂×C₈	C₂²×C₄×C₅	1	2	yes	—
254	C₂×C₈	C₅×#41	1	4	yes	—
255	C₂×C₈	C₂⁴×C₅	1	1	yes	characteristic
256	C₄⋊C₄	C₂×C₅×C₈	1	2	yes	—
257	C₄⋊C₄	C₂×C₅×C₈	1	2	yes	—
258	C₄⋊C₄	C₂×C₅×C₈	1	1	yes	characteristic
259	C₄⋊C₄	C₂×C₅×C₈	1	1	yes	characteristic
260	C₄⋊C₄	C₂×C₅×C₈	1	1	yes	characteristic
261	C₄⋊C₄	C₂×C₅×C₈	1	1	yes	characteristic
262	C₂²⋊C₄	C₂×C₅×C₈	1	2	yes	—
263	C₂²⋊C₄	C₂×C₅×C₈	1	2	yes	—
264	C₂²⋊C₄	C₂×C₅×C₈	1	2	yes	—
265	C₂²⋊C₄	C₂×C₅×C₈	1	2	yes	—
266	C₄²	C₂×C₅×C₈	1	2	yes	—
267	C₄²	C₂×C₅×C₈	1	2	yes	—
268	C₄²	C₂²×C₄×C₅	1	2	yes	—
269	C₄²	C₂²×C₄×C₅	1	2	yes	—
270	C₁₆	—	2	2	no	—
271	C₁₆	—	2	2	no	—
272	C₁₆	—	2	4	no	—
273	C₂×C₅	—	2	2	no	—
274	C₂×C₅	—	2	2	no	—
275	C₂×C₅	—	4	1	no	—
276	C₂×C₅	C₂×#431	1	1	yes	characteristic
277	C₂×C₅	C₂×#504	1	1	yes	characteristic
278	C₂×C₅	#3407	1	1	yes	characteristic
279	C₂³	—	2	2	no	—
280	C₂³	—	2	2	no	—
281	C₂³	—	4	1	no	—
282	C₂³	C₂²×C₅×C₈	1	1	yes	characteristic
283	C₂³	C₂²×C₅×C₈	1	1	yes	characteristic
284	C₂³	C₂²×C₅×C₈	1	1	yes	characteristic
285	C₂×C₄	—	2	2	no	—
286	C₂×C₄	—	2	4	no	—
287	C₂×C₄	—	2	2	no	—
288	C₂×C₄	—	2	2	no	—
289	C₂×C₄	—	2	1	no	—
290	C₂×C₄	—	2	1	no	—
291	C₂×C₄	—	2	1	no	—
292	C₂×C₄	—	2	1	no	—
293	C₂×C₄	—	4	2	no	—
294	C₂×C₄	C₅×#117	1	2	yes	—
295	C₂×C₄	C₂²×C₅×C₈	1	1	yes	characteristic
296	C₂×C₄	C₂²×C₅×C₈	1	2	yes	—
297	C₂×C₄	C₂²×C₅×C₈	1	2	yes	—
298	C₂×C₄	C₂²×C₅×C₈	1	2	yes	—
299	C₂×C₄	C₂²×C₅×C₈	1	2	yes	—
300	C₂×C₄	C₂²×C₅×C₈	1	1	yes	characteristic
301	C₂×C₄	C₂²×C₅×C₈	1	1	yes	characteristic
302	C₂×C₄	C₂×C₅×M₁₆	1	2	yes	—
303	C₂×C₄	C₂³×C₄×C₅	1	1	yes	characteristic
304	C₈	—	2	1	no	—
305	C₈	—	2	1	no	—
306	C₈	—	2	2	no	—
307	C₈	C₅×#117	1	2	yes	—
308	C₈	C₂×C₅×M₁₆	1	4	yes	—
309	C₈	C₂×C₅×#41	1	2	yes	—
310	C₅	#33422	1	1	yes	characteristic, direct product factor, Sylow
311	C₂²	—	2	1	no	—
312	C₂²	—	2	1	no	—
313	C₂²	—	2	1	no	—
314	C₂²	—	2	1	no	—
315	C₂²	—	2	1	no	—
316	C₂²	—	2	1	no	—
317	C₂²	—	2	1	no	—
318	C₂²	—	4	4	no	—
319	C₂²	C₅×#431	1	2	yes	—
320	C₂²	C₅×#504	1	2	yes	—
321	C₂²	C₂³×C₅×C₈	1	1	yes	characteristic
322	C₄	—	2	2	no	—
323	C₄	—	2	2	no	—
324	C₄	—	2	2	no	—
325	C₄	—	2	2	no	—
326	C₄	—	2	1	no	—
327	C₄	—	2	1	no	—
328	C₄	C₅×#431	1	2	yes	—
329	C₄	C₂×C₅×#117	1	1	yes	characteristic
330	C₄	C₂²×C₅×M₁₆	1	1	yes	characteristic
331	C₂	—	2	2	no	—
332	C₂	—	2	2	no	—
333	C₂	—	4	1	no	—
334	C₂	C₂×C₅×#431	1	1	yes	characteristic
335	C₂	C₂×C₅×#504	1	1	yes	characteristic
336	C₂	C₅×#3407	1	1	yes	characteristic

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

Complements

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

N	H ≅ G/N	type
2. C₅×#2164	C₂	semidirect
3. C₅×#2163	C₂	semidirect
4. C₅×#2162	C₂	semidirect
5. C₅×#2151	C₂	semidirect
8. C₅×#2108	C₂	semidirect
22. C₅×C₄⋊C₁₆	C₂²	semidirect
23. C₅×C₄⋊C₁₆	C₂²	semidirect
29. C₅×#346	C₂²	semidirect
30. C₄×C₅×C₁₆	C₂²	semidirect
31. #33422	C₅	direct (N × H)
69. #2164	C₂×C₅	semidirect
70. #2163	C₂×C₅	semidirect
71. #2162	C₂×C₅	semidirect
72. #2151	C₂×C₅	semidirect
75. #2108	C₂×C₅	semidirect
133. C₄⋊C₁₆	C₂²×C₅	semidirect
134. C₄⋊C₁₆	C₂²×C₅	semidirect
140. #346	C₂²×C₅	semidirect
141. C₄×C₁₆	C₂²×C₅	semidirect
310. C₅	#33422	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×#405	2
C₅×#2164	2
C₅×#2163	2
C₅×#2162	2
C₅×#2151	2
C₅×#2112	2
C₂×C₅×C₂²⋊C₁₆	2
C₅×#2108	2
#33422	5

Subgroups — C5×#33422 #11956142

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#33422 #11956142