Subgroups — C₅×#74392 #14326404

Order 1920.

1064 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#877	C₂	1	1	yes	maximal, characteristic
2	C₃×C₅×#385	C₂	1	1	yes	maximal, characteristic
3	C₄×C₅×#217	C₂	1	1	yes	maximal, characteristic
4	C₂×C₅×C₃⋊#95	C₂	1	1	yes	maximal, characteristic
5	C₅×#4978	C₂	1	1	yes	maximal, characteristic, complemented
6	C₅×#4978	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#4977	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×Dic₃×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#4950	C₂	1	1	yes	maximal, characteristic
10	C₅×#4943	C₂	1	1	yes	maximal, characteristic
11	C₅×Dic₃×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
12	C₅×#4655	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#4655	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#4651	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#4648	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2343	—	3	1	no	maximal, Hall
17	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
18	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic
19	C₂³×C₅×Dic₃	C₂²	1	1	yes	characteristic
20	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
21	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
22	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
23	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
24	C₂×C₅×#217	C₂²	1	1	yes	characteristic
25	C₂×C₅×#217	C₂²	1	1	yes	characteristic
26	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
27	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
28	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
29	C₂×C₅×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
31	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
32	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
35	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
36	C₅×#877	C₄	1	8	yes	complemented
37	C₃×C₅×#95	C₂²	1	1	yes	characteristic
38	C₃×C₅×#95	C₂²	1	1	yes	characteristic
39	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
40	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
41	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
42	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
43	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
44	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
45	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
46	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
47	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
48	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
49	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
50	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
51	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
52	C₅×C₃⋊#95	C₂²	1	1	yes	characteristic
53	#74392	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
54	C₂×C₅×#117	—	3	1	no	—
55	C₅×#387	—	3	1	no	—
56	C₅×#387	—	3	1	no	—
57	C₅×#387	—	3	1	no	—
58	C₅×#387	—	3	1	no	—
59	C₅×#385	—	3	1	no	—
60	C₅×#385	D₃	1	1	yes	characteristic
61	C₅×#383	—	3	1	no	—
62	C₅×#382	—	3	1	no	—
63	C₅×#381	—	3	1	no	—
64	C₄×C₅×C₄⋊C₄	—	3	1	no	—
65	C₄×C₅×C₂²⋊C₄	—	3	1	no	—
66	C₄×C₅×C₂²⋊C₄	—	3	1	no	—
67	C₅×#376	—	3	1	no	—
68	C₂×C₅×#95	—	3	1	no	—
69	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
70	C₂²×C₃×C₄×C₅	—	2	2	no	—
71	C₂²×C₃×C₄×C₅	—	2	2	no	—
72	C₂²×C₃×C₄×C₅	—	4	1	no	—
73	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
74	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
75	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
76	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
77	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
78	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
79	C₂²×C₅×Dic₃	—	2	2	no	—
80	C₂²×C₅×Dic₃	—	2	2	no	—
81	C₂²×C₅×Dic₃	—	2	2	no	—
82	C₂²×C₅×Dic₃	—	2	2	no	—
83	C₂²×C₅×Dic₃	—	4	1	no	—
84	C₂²×C₅×Dic₃	C₂×C₄	1	4	yes	—
85	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
86	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
87	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
88	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
89	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
90	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
91	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
92	C₂²×C₅×Dic₃	C₂³	1	1	yes	characteristic
93	C₃×C₅×C₄⋊C₄	—	2	2	no	—
94	C₃×C₅×C₄⋊C₄	—	4	1	no	—
95	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
96	C₃×C₅×C₂²⋊C₄	C₂×C₄	1	4	yes	—
97	C₅×#217	—	2	2	no	—
98	C₅×#217	C₂×C₄	1	4	yes	—
99	C₅×C₄⋊Dic₃	—	2	2	no	—
100	C₅×C₄⋊Dic₃	—	4	1	no	—
101	C₅×Dic₃⋊C₄	C₂×C₄	1	4	yes	complemented
102	C₅×Dic₃⋊C₄	C₂×C₄	1	4	yes	complemented
103	C₄×C₅×Dic₃	—	2	2	no	—
104	C₄×C₅×Dic₃	—	2	2	no	—
105	C₄×C₅×Dic₃	—	4	1	no	—
106	C₄×C₅×Dic₃	—	4	1	no	—
107	C₄×C₅×Dic₃	C₂×C₄	1	4	yes	complemented
108	C₄×C₅×Dic₃	C₂×C₄	1	4	yes	complemented
109	C₂×#877	C₂×C₅	1	1	yes	characteristic
110	C₃×#385	C₂×C₅	1	1	yes	characteristic
111	C₄×#217	C₂×C₅	1	1	yes	characteristic
112	C₂×C₃⋊#95	C₂×C₅	1	1	yes	characteristic
113	#4978	C₂×C₅	1	1	yes	characteristic, complemented
114	#4978	C₂×C₅	1	1	yes	characteristic, complemented
115	#4977	C₂×C₅	1	1	yes	characteristic, complemented
116	Dic₃×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
117	#4950	C₂×C₅	1	1	yes	characteristic
118	#4943	C₂×C₅	1	1	yes	characteristic
119	Dic₃×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic
120	#4655	C₂×C₅	1	1	yes	characteristic, complemented
121	#4655	C₂×C₅	1	1	yes	characteristic, complemented
122	#4651	C₂×C₅	1	1	yes	characteristic, complemented
123	#4648	C₂×C₅	1	1	yes	characteristic, complemented
124	C₂³×C₄×C₅	—	3	1	no	—
125	C₂³×C₄×C₅	—	3	1	no	—
126	C₂³×C₄×C₅	C₂×D₃	1	1	yes	characteristic
127	C₅×#117	—	3	8	no	—
128	C₂×C₅×C₄⋊C₄	—	3	1	no	—
129	C₂×C₅×C₄⋊C₄	—	3	1	no	—
130	C₂×C₅×C₄⋊C₄	—	3	1	no	—
131	C₂×C₅×C₄⋊C₄	—	3	1	no	—
132	C₂×C₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
133	C₂×C₅×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
134	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
135	C₂×C₅×C₂²⋊C₄	—	3	1	no	—
136	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
137	C₂×C₅×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
138	C₂×C₄²×C₅	—	3	1	no	—
139	C₂×C₄²×C₅	—	3	1	no	—
140	C₂×C₄²×C₅	—	3	1	no	—
141	C₂×C₄²×C₅	—	3	1	no	—
142	C₂×C₄²×C₅	—	3	1	no	—
143	C₂×C₄²×C₅	—	3	1	no	—
144	C₅×#95	—	3	1	no	—
145	C₅×#95	—	3	1	no	—
146	C₅×#95	—	3	1	no	—
147	C₅×#95	—	3	1	no	—
148	C₅×#95	—	3	1	no	—
149	C₅×#95	—	3	1	no	—
150	C₅×#95	—	3	1	no	—
151	C₅×#95	—	3	1	no	—
152	C₅×#95	—	3	1	no	—
153	C₅×#95	—	3	1	no	—
154	C₅×#95	—	3	1	no	—
155	C₅×#95	—	3	1	no	—
156	C₅×#95	—	3	1	no	—
157	C₅×#95	—	3	1	no	—
158	C₅×#95	C₂×D₃	1	1	yes	characteristic
159	C₅×#95	C₂×D₃	1	1	yes	characteristic
160	#2343	—	3	1	no	Sylow
161	C₂³×C₃×C₅	—	2	1	no	—
162	C₂³×C₃×C₅	—	2	1	no	—
163	C₂³×C₃×C₅	—	2	1	no	—
164	C₂³×C₃×C₅	—	2	1	no	—
165	C₂³×C₃×C₅	C₂²×C₄	1	2	yes	—
166	C₂³×C₃×C₅	#41	1	2	yes	—
167	C₂³×C₃×C₅	#41	1	2	yes	—
168	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
169	C₂×C₃×C₄×C₅	—	2	1	no	—
170	C₂×C₃×C₄×C₅	—	2	1	no	—
171	C₂×C₃×C₄×C₅	—	2	1	no	—
172	C₂×C₃×C₄×C₅	—	2	1	no	—
173	C₂×C₃×C₄×C₅	—	2	1	no	—
174	C₂×C₃×C₄×C₅	—	2	1	no	—
175	C₂×C₃×C₄×C₅	—	2	1	no	—
176	C₂×C₃×C₄×C₅	—	2	1	no	—
177	C₂×C₃×C₄×C₅	—	2	1	no	—
178	C₂×C₃×C₄×C₅	—	2	1	no	—
179	C₂×C₃×C₄×C₅	—	2	1	no	—
180	C₂×C₃×C₄×C₅	—	2	1	no	—
181	C₂×C₃×C₄×C₅	—	2	1	no	—
182	C₂×C₃×C₄×C₅	—	2	1	no	—
183	C₂×C₃×C₄×C₅	—	2	1	no	—
184	C₂×C₃×C₄×C₅	—	4	4	no	—
185	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
186	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
187	C₂×C₃×C₄×C₅	#41	1	2	yes	—
188	C₂×C₅×Dic₃	—	2	8	no	—
189	C₂×C₅×Dic₃	—	2	1	no	—
190	C₂×C₅×Dic₃	—	2	1	no	—
191	C₂×C₅×Dic₃	—	2	1	no	—
192	C₂×C₅×Dic₃	—	2	1	no	—
193	C₂×C₅×Dic₃	—	2	1	no	—
194	C₂×C₅×Dic₃	—	2	1	no	—
195	C₂×C₅×Dic₃	—	2	1	no	—
196	C₂×C₅×Dic₃	—	2	1	no	—
197	C₂×C₅×Dic₃	—	2	1	no	—
198	C₂×C₅×Dic₃	—	2	1	no	—
199	C₂×C₅×Dic₃	—	2	1	no	—
200	C₂×C₅×Dic₃	—	2	1	no	—
201	C₂×C₅×Dic₃	—	2	1	no	—
202	C₂×C₅×Dic₃	—	2	1	no	—
203	C₂×C₅×Dic₃	—	2	1	no	—
204	C₂×C₅×Dic₃	—	2	1	no	—
205	C₂×C₅×Dic₃	—	2	1	no	—
206	C₂×C₅×Dic₃	—	2	1	no	—
207	C₂×C₅×Dic₃	—	2	1	no	—
208	C₂×C₅×Dic₃	—	4	4	no	—
209	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
210	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
211	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
212	C₂×C₅×Dic₃	C₂²×C₄	1	2	yes	—
213	C₂×C₅×Dic₃	#41	1	2	yes	—
214	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic
215	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic
216	C₂³×Dic₃	C₂²×C₅	1	1	yes	characteristic
217	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
218	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
219	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
220	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
221	C₂×#217	C₂²×C₅	1	1	yes	characteristic
222	C₂×#217	C₂²×C₅	1	1	yes	characteristic
223	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic
224	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic
225	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic
226	C₂×Dic₃⋊C₄	C₂²×C₅	1	1	yes	characteristic
227	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
228	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
229	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
230	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
231	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
232	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
233	#877	C₄×C₅	1	8	yes	complemented
234	C₃×#95	C₂²×C₅	1	1	yes	characteristic
235	C₃×#95	C₂²×C₅	1	1	yes	characteristic
236	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
237	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
238	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
239	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
240	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
241	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
242	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
243	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
244	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
245	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
246	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
247	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
248	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
249	C₃⋊#95	C₂²×C₅	1	1	yes	characteristic
250	C₂⁴×C₅	C₂²×D₃	1	1	yes	characteristic
251	C₂²×C₄×C₅	—	2	2	no	—
252	C₂²×C₄×C₅	—	2	2	no	—
253	C₂²×C₄×C₅	—	3	4	no	—
254	C₂²×C₄×C₅	—	3	1	no	—
255	C₂²×C₄×C₅	—	3	1	no	—
256	C₂²×C₄×C₅	—	3	1	no	—
257	C₂²×C₄×C₅	—	3	1	no	—
258	C₂²×C₄×C₅	—	3	1	no	—
259	C₂²×C₄×C₅	—	3	1	no	—
260	C₂²×C₄×C₅	—	3	1	no	—
261	C₂²×C₄×C₅	—	3	1	no	—
262	C₂²×C₄×C₅	—	4	1	no	—
263	C₂²×C₄×C₅	—	6	2	no	—
264	C₂²×C₄×C₅	—	6	2	no	—
265	C₂²×C₄×C₅	—	6	2	no	—
266	C₂²×C₄×C₅	—	6	2	no	—
267	C₂²×C₄×C₅	—	12	1	no	—
268	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
269	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
270	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
271	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
272	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
273	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
274	C₅×C₄⋊C₄	—	2	2	no	—
275	C₅×C₄⋊C₄	—	3	4	no	—
276	C₅×C₄⋊C₄	—	3	4	no	—
277	C₅×C₄⋊C₄	—	4	1	no	—
278	C₅×C₄⋊C₄	—	6	2	no	—
279	C₅×C₄⋊C₄	—	12	1	no	—
280	C₅×C₂²⋊C₄	—	2	2	no	—
281	C₅×C₂²⋊C₄	—	3	4	no	—
282	C₅×C₂²⋊C₄	—	6	2	no	—
283	C₅×C₂²⋊C₄	C₄×D₃	1	4	yes	—
284	C₄²×C₅	—	3	4	no	—
285	C₄²×C₅	—	3	4	no	—
286	C₄²×C₅	—	6	2	no	—
287	C₄²×C₅	—	6	2	no	—
288	C₄²×C₅	—	12	1	no	—
289	C₄²×C₅	—	12	1	no	—
290	C₂×#117	—	3	1	no	—
291	#387	—	3	1	no	—
292	#387	—	3	1	no	—
293	#387	—	3	1	no	—
294	#387	—	3	1	no	—
295	#385	—	3	1	no	—
296	#385	C₅×D₃	1	1	yes	characteristic
297	#383	—	3	1	no	—
298	#382	—	3	1	no	—
299	#381	—	3	1	no	—
300	C₄×C₄⋊C₄	—	3	1	no	—
301	C₄×C₂²⋊C₄	—	3	1	no	—
302	C₄×C₂²⋊C₄	—	3	1	no	—
303	#376	—	3	1	no	—
304	C₂×#95	—	3	1	no	—
305	C₂²×C₃×C₅	—	2	2	no	—
306	C₂²×C₃×C₅	—	2	2	no	—
307	C₂²×C₃×C₅	—	2	2	no	—
308	C₂²×C₃×C₅	—	2	2	no	—
309	C₂²×C₃×C₅	—	2	2	no	—
310	C₂²×C₃×C₅	—	2	2	no	—
311	C₂²×C₃×C₅	#117	1	4	yes	—
312	C₂²×C₃×C₅	C₂³×C₄	1	1	yes	characteristic
313	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
314	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
315	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
316	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
317	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
318	C₂²×C₃×C₅	2₋¹⁺⁴	1	1	yes	characteristic
319	C₃×C₄×C₅	—	2	2	no	—
320	C₃×C₄×C₅	—	2	2	no	—
321	C₃×C₄×C₅	—	2	2	no	—
322	C₃×C₄×C₅	—	4	1	no	—
323	C₃×C₄×C₅	—	4	1	no	—
324	C₃×C₄×C₅	—	4	1	no	—
325	C₅×Dic₃	—	2	2	no	—
326	C₅×Dic₃	—	2	2	no	—
327	C₅×Dic₃	—	2	2	no	—
328	C₅×Dic₃	—	2	2	no	—
329	C₅×Dic₃	—	2	2	no	—
330	C₅×Dic₃	—	4	1	no	—
331	C₅×Dic₃	—	4	1	no	—
332	C₅×Dic₃	—	4	1	no	—
333	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
334	C₂²×C₃×C₄	—	2	2	no	—
335	C₂²×C₃×C₄	—	2	2	no	—
336	C₂²×C₃×C₄	—	4	1	no	—
337	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
338	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
339	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
340	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
341	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
342	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
343	C₂²×Dic₃	—	2	2	no	—
344	C₂²×Dic₃	—	2	2	no	—
345	C₂²×Dic₃	—	2	2	no	—
346	C₂²×Dic₃	—	2	2	no	—
347	C₂²×Dic₃	—	4	1	no	—
348	C₂²×Dic₃	C₂×C₄×C₅	1	4	yes	—
349	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
350	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
351	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
352	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
353	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
354	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
355	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
356	C₂²×Dic₃	C₂³×C₅	1	1	yes	characteristic
357	C₃×C₄⋊C₄	—	2	2	no	—
358	C₃×C₄⋊C₄	—	4	1	no	—
359	C₃×C₂²⋊C₄	—	2	2	no	—
360	C₃×C₂²⋊C₄	C₂×C₄×C₅	1	4	yes	—
361	#217	—	2	2	no	—
362	#217	C₂×C₄×C₅	1	4	yes	—
363	C₄⋊Dic₃	—	2	2	no	—
364	C₄⋊Dic₃	—	4	1	no	—
365	Dic₃⋊C₄	C₂×C₄×C₅	1	4	yes	complemented
366	Dic₃⋊C₄	C₂×C₄×C₅	1	4	yes	complemented
367	C₄×Dic₃	—	2	2	no	—
368	C₄×Dic₃	—	2	2	no	—
369	C₄×Dic₃	—	4	1	no	—
370	C₄×Dic₃	—	4	1	no	—
371	C₄×Dic₃	C₂×C₄×C₅	1	4	yes	complemented
372	C₄×Dic₃	C₂×C₄×C₅	1	4	yes	complemented
373	C₂³×C₅	—	2	1	no	—
374	C₂³×C₅	—	2	1	no	—
375	C₂³×C₅	—	2	1	no	—
376	C₂³×C₅	—	2	1	no	—
377	C₂³×C₅	C₂×C₄×D₃	1	2	yes	—
378	C₂³×C₅	#237	1	2	yes	—
379	C₂³×C₅	#239	1	2	yes	—
380	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
381	C₂×C₄×C₅	—	2	1	no	—
382	C₂×C₄×C₅	—	2	1	no	—
383	C₂×C₄×C₅	—	2	1	no	—
384	C₂×C₄×C₅	—	2	1	no	—
385	C₂×C₄×C₅	—	2	1	no	—
386	C₂×C₄×C₅	—	2	1	no	—
387	C₂×C₄×C₅	—	2	1	no	—
388	C₂×C₄×C₅	—	2	1	no	—
389	C₂×C₄×C₅	—	2	1	no	—
390	C₂×C₄×C₅	—	2	1	no	—
391	C₂×C₄×C₅	—	2	1	no	—
392	C₂×C₄×C₅	—	2	1	no	—
393	C₂×C₄×C₅	—	2	1	no	—
394	C₂×C₄×C₅	—	2	1	no	—
395	C₂×C₄×C₅	—	2	1	no	—
396	C₂×C₄×C₅	—	3	2	no	—
397	C₂×C₄×C₅	—	3	2	no	—
398	C₂×C₄×C₅	—	3	2	no	—
399	C₂×C₄×C₅	—	3	2	no	—
400	C₂×C₄×C₅	—	3	2	no	—
401	C₂×C₄×C₅	—	4	4	no	—
402	C₂×C₄×C₅	—	6	8	no	—
403	C₂×C₄×C₅	—	6	1	no	—
404	C₂×C₄×C₅	—	6	1	no	—
405	C₂×C₄×C₅	—	6	1	no	—
406	C₂×C₄×C₅	—	6	1	no	—
407	C₂×C₄×C₅	—	6	1	no	—
408	C₂×C₄×C₅	—	6	1	no	—
409	C₂×C₄×C₅	—	6	1	no	—
410	C₂×C₄×C₅	—	6	1	no	—
411	C₂×C₄×C₅	—	6	1	no	—
412	C₂×C₄×C₅	—	6	1	no	—
413	C₂×C₄×C₅	—	6	1	no	—
414	C₂×C₄×C₅	—	6	1	no	—
415	C₂×C₄×C₅	—	6	1	no	—
416	C₂×C₄×C₅	—	6	1	no	—
417	C₂×C₄×C₅	—	6	1	no	—
418	C₂×C₄×C₅	—	6	1	no	—
419	C₂×C₄×C₅	—	6	1	no	—
420	C₂×C₄×C₅	—	6	1	no	—
421	C₂×C₄×C₅	—	6	1	no	—
422	C₂×C₄×C₅	—	12	4	no	—
423	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
424	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
425	C₂×C₄×C₅	#237	1	2	yes	—
426	C₂³×C₄	—	3	1	no	—
427	C₂³×C₄	—	3	1	no	—
428	C₂³×C₄	C₂×C₅×D₃	1	1	yes	characteristic
429	#117	—	3	8	no	—
430	C₂×C₄⋊C₄	—	3	1	no	—
431	C₂×C₄⋊C₄	—	3	1	no	—
432	C₂×C₄⋊C₄	—	3	1	no	—
433	C₂×C₄⋊C₄	—	3	1	no	—
434	C₂×C₄⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
435	C₂×C₄⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
436	C₂×C₂²⋊C₄	—	3	1	no	—
437	C₂×C₂²⋊C₄	—	3	1	no	—
438	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
439	C₂×C₂²⋊C₄	C₂×C₅×D₃	1	1	yes	characteristic
440	C₂×C₄²	—	3	1	no	—
441	C₂×C₄²	—	3	1	no	—
442	C₂×C₄²	—	3	1	no	—
443	C₂×C₄²	—	3	1	no	—
444	C₂×C₄²	—	3	1	no	—
445	C₂×C₄²	—	3	1	no	—
446	#95	—	3	1	no	—
447	#95	—	3	1	no	—
448	#95	—	3	1	no	—
449	#95	—	3	1	no	—
450	#95	—	3	1	no	—
451	#95	—	3	1	no	—
452	#95	—	3	1	no	—
453	#95	—	3	1	no	—
454	#95	—	3	1	no	—
455	#95	—	3	1	no	—
456	#95	—	3	1	no	—
457	#95	—	3	1	no	—
458	#95	—	3	1	no	—
459	#95	—	3	1	no	—
460	#95	C₂×C₅×D₃	1	1	yes	characteristic
461	#95	C₂×C₅×D₃	1	1	yes	characteristic
462	C₂×C₃×C₅	—	2	4	no	—
463	C₂×C₃×C₅	C₂×#117	1	1	yes	characteristic
464	C₂×C₃×C₅	C₄×#41	1	1	yes	characteristic
465	C₂×C₃×C₅	#520	1	1	yes	characteristic
466	C₂×C₃×C₅	#551	1	1	yes	characteristic
467	C₂×C₃×C₅	#551	1	1	yes	characteristic
468	C₂×C₃×C₅	#552	1	1	yes	characteristic
469	C₂×C₃×C₅	#552	1	1	yes	characteristic
470	C₂³×C₃	—	2	1	no	—
471	C₂³×C₃	—	2	1	no	—
472	C₂³×C₃	—	2	1	no	—
473	C₂³×C₃	—	2	1	no	—
474	C₂³×C₃	C₂²×C₄×C₅	1	2	yes	—
475	C₂³×C₃	C₅×#41	1	2	yes	—
476	C₂³×C₃	C₅×#41	1	2	yes	—
477	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
478	C₂×C₃×C₄	—	2	1	no	—
479	C₂×C₃×C₄	—	2	1	no	—
480	C₂×C₃×C₄	—	2	1	no	—
481	C₂×C₃×C₄	—	2	1	no	—
482	C₂×C₃×C₄	—	2	1	no	—
483	C₂×C₃×C₄	—	2	1	no	—
484	C₂×C₃×C₄	—	2	1	no	—
485	C₂×C₃×C₄	—	2	1	no	—
486	C₂×C₃×C₄	—	2	1	no	—
487	C₂×C₃×C₄	—	2	1	no	—
488	C₂×C₃×C₄	—	2	1	no	—
489	C₂×C₃×C₄	—	2	1	no	—
490	C₂×C₃×C₄	—	2	1	no	—
491	C₂×C₃×C₄	—	2	1	no	—
492	C₂×C₃×C₄	—	2	1	no	—
493	C₂×C₃×C₄	—	4	4	no	—
494	C₂×C₃×C₄	C₂²×C₄×C₅	1	2	yes	—
495	C₂×C₃×C₄	C₂²×C₄×C₅	1	2	yes	—
496	C₂×C₃×C₄	C₅×#41	1	2	yes	—
497	C₂×Dic₃	—	2	8	no	—
498	C₂×Dic₃	—	2	1	no	—
499	C₂×Dic₃	—	2	1	no	—
500	C₂×Dic₃	—	2	1	no	—
501	C₂×Dic₃	—	2	1	no	—
502	C₂×Dic₃	—	2	1	no	—
503	C₂×Dic₃	—	2	1	no	—
504	C₂×Dic₃	—	2	1	no	—
505	C₂×Dic₃	—	2	1	no	—
506	C₂×Dic₃	—	2	1	no	—
507	C₂×Dic₃	—	2	1	no	—
508	C₂×Dic₃	—	2	1	no	—
509	C₂×Dic₃	—	2	1	no	—
510	C₂×Dic₃	—	2	1	no	—
511	C₂×Dic₃	—	2	1	no	—
512	C₂×Dic₃	—	2	1	no	—
513	C₂×Dic₃	—	2	1	no	—
514	C₂×Dic₃	—	2	1	no	—
515	C₂×Dic₃	—	2	1	no	—
516	C₂×Dic₃	—	2	1	no	—
517	C₂×Dic₃	—	4	4	no	—
518	C₂×Dic₃	C₂²×C₄×C₅	1	2	yes	—
519	C₂×Dic₃	C₂²×C₄×C₅	1	2	yes	—
520	C₂×Dic₃	C₂²×C₄×C₅	1	2	yes	—
521	C₂×Dic₃	C₂²×C₄×C₅	1	2	yes	—
522	C₂×Dic₃	C₅×#41	1	2	yes	—
523	C₂²×C₅	—	2	2	no	—
524	C₂²×C₅	—	2	2	no	—
525	C₂²×C₅	—	2	2	no	—
526	C₂²×C₅	—	2	2	no	—
527	C₂²×C₅	—	2	2	no	—
528	C₂²×C₅	—	2	2	no	—
529	C₂²×C₅	#892	1	4	yes	—
530	C₂²×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
531	C₂²×C₅	C₂×#237	1	1	yes	characteristic
532	C₂²×C₅	C₂×#237	1	1	yes	characteristic
533	C₂²×C₅	#1004	1	1	yes	characteristic
534	C₂²×C₅	C₂×#239	1	1	yes	characteristic
535	C₂²×C₅	D₃×#41	1	1	yes	characteristic
536	C₂²×C₅	#1010	1	1	yes	characteristic
537	C₄×C₅	—	2	2	no	—
538	C₄×C₅	—	2	2	no	—
539	C₄×C₅	—	2	2	no	—
540	C₄×C₅	—	4	1	no	—
541	C₄×C₅	—	4	1	no	—
542	C₄×C₅	—	4	1	no	—
543	C₄×C₅	—	6	2	no	—
544	C₄×C₅	—	6	2	no	—
545	C₄×C₅	—	6	2	no	—
546	C₄×C₅	—	6	2	no	—
547	C₄×C₅	—	6	2	no	—
548	C₄×C₅	—	12	1	no	—
549	C₄×C₅	—	12	1	no	—
550	C₄×C₅	—	12	1	no	—
551	C₂⁴	C₂²×C₅×D₃	1	1	yes	characteristic
552	C₂²×C₄	—	2	2	no	—
553	C₂²×C₄	—	2	2	no	—
554	C₂²×C₄	—	3	4	no	—
555	C₂²×C₄	—	3	1	no	—
556	C₂²×C₄	—	3	1	no	—
557	C₂²×C₄	—	3	1	no	—
558	C₂²×C₄	—	3	1	no	—
559	C₂²×C₄	—	3	1	no	—
560	C₂²×C₄	—	3	1	no	—
561	C₂²×C₄	—	3	1	no	—
562	C₂²×C₄	—	3	1	no	—
563	C₂²×C₄	—	4	1	no	—
564	C₂²×C₄	—	6	2	no	—
565	C₂²×C₄	—	6	2	no	—
566	C₂²×C₄	—	6	2	no	—
567	C₂²×C₄	—	6	2	no	—
568	C₂²×C₄	—	12	1	no	—
569	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
570	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
571	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
572	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
573	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
574	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
575	C₄⋊C₄	—	2	2	no	—
576	C₄⋊C₄	—	3	4	no	—
577	C₄⋊C₄	—	3	4	no	—
578	C₄⋊C₄	—	4	1	no	—
579	C₄⋊C₄	—	6	2	no	—
580	C₄⋊C₄	—	12	1	no	—
581	C₂²⋊C₄	—	2	2	no	—
582	C₂²⋊C₄	—	3	4	no	—
583	C₂²⋊C₄	—	6	2	no	—
584	C₂²⋊C₄	C₄×C₅×D₃	1	4	yes	—
585	C₄²	—	3	4	no	—
586	C₄²	—	3	4	no	—
587	C₄²	—	6	2	no	—
588	C₄²	—	6	2	no	—
589	C₄²	—	12	1	no	—
590	C₄²	—	12	1	no	—
591	C₃×C₅	#2343	1	1	yes	characteristic, complemented, Hall
592	C₂²×C₃	—	2	2	no	—
593	C₂²×C₃	—	2	2	no	—
594	C₂²×C₃	—	2	2	no	—
595	C₂²×C₃	—	2	2	no	—
596	C₂²×C₃	—	2	2	no	—
597	C₂²×C₃	—	2	2	no	—
598	C₂²×C₃	C₅×#117	1	4	yes	—
599	C₂²×C₃	C₂³×C₄×C₅	1	1	yes	characteristic
600	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
601	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
602	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
603	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
604	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
605	C₂²×C₃	C₅×2₋¹⁺⁴	1	1	yes	characteristic
606	C₃×C₄	—	2	2	no	—
607	C₃×C₄	—	2	2	no	—
608	C₃×C₄	—	2	2	no	—
609	C₃×C₄	—	4	1	no	—
610	C₃×C₄	—	4	1	no	—
611	C₃×C₄	—	4	1	no	—
612	Dic₃	—	2	2	no	—
613	Dic₃	—	2	2	no	—
614	Dic₃	—	2	2	no	—
615	Dic₃	—	2	2	no	—
616	Dic₃	—	2	2	no	—
617	Dic₃	—	4	1	no	—
618	Dic₃	—	4	1	no	—
619	Dic₃	—	4	1	no	—
620	C₂×C₅	—	2	4	no	—
621	C₂×C₅	C₂×#892	1	1	yes	characteristic
622	C₂×C₅	C₄×#237	1	1	yes	characteristic
623	C₂×C₅	#5546	1	1	yes	characteristic
624	C₂×C₅	#5587	1	1	yes	characteristic
625	C₂×C₅	#5637	1	1	yes	characteristic
626	C₂×C₅	#5642	1	1	yes	characteristic
627	C₂×C₅	#5650	1	1	yes	characteristic
628	C₂³	—	2	1	no	—
629	C₂³	—	2	1	no	—
630	C₂³	—	2	1	no	—
631	C₂³	—	2	1	no	—
632	C₂³	C₂×C₄×C₅×D₃	1	2	yes	—
633	C₂³	C₅×#237	1	2	yes	—
634	C₂³	C₅×#239	1	2	yes	—
635	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
636	C₂×C₄	—	2	1	no	—
637	C₂×C₄	—	2	1	no	—
638	C₂×C₄	—	2	1	no	—
639	C₂×C₄	—	2	1	no	—
640	C₂×C₄	—	2	1	no	—
641	C₂×C₄	—	2	1	no	—
642	C₂×C₄	—	2	1	no	—
643	C₂×C₄	—	2	1	no	—
644	C₂×C₄	—	2	1	no	—
645	C₂×C₄	—	2	1	no	—
646	C₂×C₄	—	2	1	no	—
647	C₂×C₄	—	2	1	no	—
648	C₂×C₄	—	2	1	no	—
649	C₂×C₄	—	2	1	no	—
650	C₂×C₄	—	2	1	no	—
651	C₂×C₄	—	3	2	no	—
652	C₂×C₄	—	3	2	no	—
653	C₂×C₄	—	3	2	no	—
654	C₂×C₄	—	3	2	no	—
655	C₂×C₄	—	3	2	no	—
656	C₂×C₄	—	4	4	no	—
657	C₂×C₄	—	6	8	no	—
658	C₂×C₄	—	6	1	no	—
659	C₂×C₄	—	6	1	no	—
660	C₂×C₄	—	6	1	no	—
661	C₂×C₄	—	6	1	no	—
662	C₂×C₄	—	6	1	no	—
663	C₂×C₄	—	6	1	no	—
664	C₂×C₄	—	6	1	no	—
665	C₂×C₄	—	6	1	no	—
666	C₂×C₄	—	6	1	no	—
667	C₂×C₄	—	6	1	no	—
668	C₂×C₄	—	6	1	no	—
669	C₂×C₄	—	6	1	no	—
670	C₂×C₄	—	6	1	no	—
671	C₂×C₄	—	6	1	no	—
672	C₂×C₄	—	6	1	no	—
673	C₂×C₄	—	6	1	no	—
674	C₂×C₄	—	6	1	no	—
675	C₂×C₄	—	6	1	no	—
676	C₂×C₄	—	6	1	no	—
677	C₂×C₄	—	12	4	no	—
678	C₂×C₄	C₂×C₄×C₅×D₃	1	2	yes	—
679	C₂×C₄	C₂×C₄×C₅×D₃	1	2	yes	—
680	C₂×C₄	C₅×#237	1	2	yes	—
681	C₂×C₃	—	2	4	no	—
682	C₂×C₃	C₂×C₅×#117	1	1	yes	characteristic
683	C₂×C₃	C₄×C₅×#41	1	1	yes	characteristic
684	C₂×C₃	C₅×#520	1	1	yes	characteristic
685	C₂×C₃	C₅×#551	1	1	yes	characteristic
686	C₂×C₃	C₅×#551	1	1	yes	characteristic
687	C₂×C₃	C₅×#552	1	1	yes	characteristic
688	C₂×C₃	C₅×#552	1	1	yes	characteristic
689	C₅	#74392	1	1	yes	characteristic, direct product factor, Sylow
690	C₂²	—	2	2	no	—
691	C₂²	—	2	2	no	—
692	C₂²	—	2	2	no	—
693	C₂²	—	2	2	no	—
694	C₂²	—	2	2	no	—
695	C₂²	—	2	2	no	—
696	C₂²	C₅×#892	1	4	yes	—
697	C₂²	C₂²×C₄×C₅×D₃	1	1	yes	characteristic
698	C₂²	C₂×C₅×#237	1	1	yes	characteristic
699	C₂²	C₂×C₅×#237	1	1	yes	characteristic
700	C₂²	C₅×#1004	1	1	yes	characteristic
701	C₂²	C₂×C₅×#239	1	1	yes	characteristic
702	C₂²	C₅×D₃×#41	1	1	yes	characteristic
703	C₂²	C₅×#1010	1	1	yes	characteristic
704	C₄	—	2	2	no	—
705	C₄	—	2	2	no	—
706	C₄	—	2	2	no	—
707	C₄	—	4	1	no	—
708	C₄	—	4	1	no	—
709	C₄	—	4	1	no	—
710	C₄	—	6	2	no	—
711	C₄	—	6	2	no	—
712	C₄	—	6	2	no	—
713	C₄	—	6	2	no	—
714	C₄	—	6	2	no	—
715	C₄	—	12	1	no	—
716	C₄	—	12	1	no	—
717	C₄	—	12	1	no	—
718	C₃	C₅×#2343	1	1	yes	characteristic, complemented, Sylow
719	C₂	—	2	4	no	—
720	C₂	C₂×C₅×#892	1	1	yes	characteristic
721	C₂	C₄×C₅×#237	1	1	yes	characteristic
722	C₂	C₅×#5546	1	1	yes	characteristic
723	C₂	C₅×#5587	1	1	yes	characteristic
724	C₂	C₅×#5637	1	1	yes	characteristic
725	C₂	C₅×#5642	1	1	yes	characteristic
726	C₂	C₅×#5650	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₅	C₂³×D₃
commutator	C₂²×C₃	C₂³×C₄×C₅
Frattini	C₂³	C₂³×C₅×D₃
Fitting	C₃×C₅×#385	C₂
socle	C₂³×C₃×C₅	C₂⁴
prime radical	C₂⁴×C₃×C₅	C₂³
cosocle	C₂³×C₃	C₂⁴×C₅
hypercenter	C₅×#385	D₃
hypocenter	C₃	C₅×#2343
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₅×#385

Complements

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

N	H ≅ G/N	type
5. C₅×#4978	C₂	semidirect
6. C₅×#4978	C₂	semidirect
7. C₅×#4977	C₂	semidirect
8. C₅×Dic₃×C₄⋊C₄	C₂	semidirect
12. C₅×#4655	C₂	semidirect
13. C₅×#4655	C₂	semidirect
14. C₅×#4651	C₂	semidirect
15. C₅×#4648	C₂	semidirect
36. C₅×#877	C₄	semidirect
53. #74392	C₅	direct (N × H)
101. C₅×Dic₃⋊C₄	C₂×C₄	semidirect
102. C₅×Dic₃⋊C₄	C₂×C₄	semidirect
107. C₄×C₅×Dic₃	C₂×C₄	semidirect
108. C₄×C₅×Dic₃	C₂×C₄	semidirect
113. #4978	C₂×C₅	semidirect
114. #4978	C₂×C₅	semidirect
115. #4977	C₂×C₅	semidirect
116. Dic₃×C₄⋊C₄	C₂×C₅	semidirect
120. #4655	C₂×C₅	semidirect
121. #4655	C₂×C₅	semidirect
122. #4651	C₂×C₅	semidirect
123. #4648	C₂×C₅	semidirect
233. #877	C₄×C₅	semidirect
365. Dic₃⋊C₄	C₂×C₄×C₅	semidirect
366. Dic₃⋊C₄	C₂×C₄×C₅	semidirect
371. C₄×Dic₃	C₂×C₄×C₅	semidirect
372. C₄×Dic₃	C₂×C₄×C₅	semidirect
591. C₃×C₅	#2343	semidirect
689. C₅	#74392	direct (N × H)
718. C₃	C₅×#2343	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×#877	2
C₃×C₅×#385	2
C₄×C₅×#217	2
C₂×C₅×C₃⋊#95	2
C₅×#4978	2
C₅×#4977	2
C₅×Dic₃×C₄⋊C₄	2
C₅×#4950	2
C₅×#4943	2
C₅×Dic₃×C₂²⋊C₄	2
C₅×#4655	2
C₅×#4651	2
C₅×#4648	2
C₅×#2343	3
#74392	5

Subgroups — C5×#74392 #14326404

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#74392 #14326404