Subgroups — C₅×#78861 #14426220

Order 1920.

992 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#5832	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₅×#950	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#904	C₂	1	1	yes	maximal, characteristic, complemented
4	C₅×#5522	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#416	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₅×Dic₃⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₅×#5002	C₂	1	1	yes	maximal, characteristic, complemented
8	C₅×#4819	C₂	1	1	yes	maximal, characteristic, complemented
9	C₅×#4818	C₂	1	1	yes	maximal, characteristic, complemented
10	C₅×#4798	C₂	1	1	yes	maximal, characteristic, complemented
11	C₅×#4795	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#4787	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#4786	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#4767	C₂	1	1	yes	maximal, characteristic, complemented
15	C₅×#4762	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#3035	—	3	1	no	maximal, Hall
17	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic
18	C₂×C₅×#235	C₂²	1	1	yes	characteristic
19	C₂×C₅×#235	C₂²	1	1	yes	characteristic
20	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
21	C₃×C₅×#117	C₂²	1	1	yes	characteristic
22	C₅×#950	—	2	4	no	—
23	C₅×#947	C₂²	1	1	yes	characteristic
24	C₅×#944	C₂²	1	1	yes	characteristic
25	C₂×C₅×#216	C₂²	1	1	yes	characteristic
26	C₂×C₅×#215	C₂²	1	1	yes	characteristic
27	C₅×#940	C₂²	1	1	yes	characteristic
28	C₅×#939	—	2	1	no	—
29	C₅×#939	—	2	1	no	—
30	C₅×#936	C₂²	1	1	yes	characteristic
31	C₂×C₅×#214	C₂²	1	1	yes	characteristic
32	C₂×C₅×#213	C₂²	1	1	yes	characteristic
33	C₄×C₅×#67	—	2	1	no	—
34	C₄×C₅×#67	—	2	1	no	—
35	C₂×C₄×C₅×Dic₃	C₂²	1	1	yes	characteristic
36	C₂²×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
37	C₂×C₅×Dic₁₂	C₂²	1	1	yes	characteristic
38	C₅×#904	—	2	4	no	—
39	C₂×C₅×D₂₄	C₂²	1	1	yes	characteristic
40	C₂×C₅×#204	C₂²	1	1	yes	characteristic
41	C₂×C₅×#204	C₂²	1	1	yes	characteristic
42	C₅×#893	C₂²	1	1	yes	characteristic
43	C₅×#893	C₂²	1	1	yes	characteristic
44	C₅×#887	C₂²	1	1	yes	characteristic
45	C₅×#887	C₂²	1	1	yes	characteristic
46	C₅×#67⋊C₄	—	2	1	no	—
47	C₅×#67⋊C₄	—	2	1	no	—
48	C₅×#872	—	2	1	no	—
49	C₄²×C₅×D₃	—	2	1	no	—
50	C₃×C₅×#103	C₂²	1	1	yes	characteristic
51	C₃×C₅×#103	C₂²	1	1	yes	characteristic
52	C₃×C₅×#102	C₂²	1	1	yes	characteristic
53	C₃×C₅×#102	C₂²	1	1	yes	characteristic
54	C₅×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
55	C₅×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
56	C₅×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
57	C₅×Dic₃⋊C₈	C₂²	1	1	yes	characteristic
58	C₅×#810	C₂²	1	1	yes	characteristic
59	C₅×#810	C₂²	1	1	yes	characteristic
60	C₅×#809	C₂²	1	1	yes	characteristic
61	C₅×#809	C₂²	1	1	yes	characteristic
62	#78861	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
63	C₂×C₅×#135	—	3	1	no	—
64	C₂×C₅×#135	—	3	1	no	—
65	C₅×#532	—	3	1	no	—
66	C₄×C₅×#41	—	3	1	no	—
67	C₅×#464	—	3	1	no	—
68	C₅×#464	—	3	1	no	—
69	C₅×#463	—	3	1	no	—
70	C₅×#463	—	3	1	no	—
71	C₅×#462	—	3	1	no	—
72	C₅×#461	—	3	1	no	—
73	C₅×#460	—	3	1	no	—
74	C₅×#459	—	3	1	no	—
75	C₂×C₅×C₄⋊C₈	—	3	1	no	—
76	C₅×#416	—	3	1	no	—
77	C₅×#416	D₃	1	1	yes	characteristic, complemented
78	C₃×C₅×#41	—	2	2	no	—
79	C₃×C₅×#41	—	2	2	no	—
80	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
81	C₂×C₃×C₅×D₄	—	2	1	no	—
82	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
83	C₂²×C₃×C₄×C₅	—	2	1	no	—
84	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
85	C₂×C₅×#67	—	2	1	no	—
86	C₂×C₅×#67	—	2	1	no	—
87	C₂×C₅×#67	—	2	1	no	—
88	C₂×C₅×#67	—	2	1	no	—
89	C₂²×C₅×Dic₃	D₄	1	1	yes	characteristic
90	C₂²×C₅×Dic₃	D₄	1	1	yes	characteristic
91	C₅×#235	—	2	2	no	—
92	C₅×#235	—	2	2	no	—
93	C₅×#235	—	2	2	no	—
94	C₅×#235	D₄	1	4	yes	complemented
95	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
96	C₂×C₅×D₁₂	C₂³	1	1	yes	characteristic
97	C₂×C₄×C₅×D₃	—	2	1	no	—
98	C₂×C₄×C₅×D₃	—	2	1	no	—
99	C₂×C₄×C₅×D₃	—	2	1	no	—
100	C₂×C₄×C₅×D₃	—	2	1	no	—
101	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
102	C₂×C₅×Dic₆	C₂³	1	1	yes	characteristic
103	C₂×C₃×C₅×C₈	—	2	2	no	—
104	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
105	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
106	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
107	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
108	C₃×C₅×C₂²⋊C₄	—	2	1	no	—
109	C₃×C₄²×C₅	—	2	1	no	—
110	C₅×#217	—	2	1	no	—
111	C₅×#217	—	2	1	no	—
112	C₅×#216	—	2	2	no	—
113	C₅×#215	—	2	2	no	—
114	C₅×#214	—	2	2	no	—
115	C₅×#213	—	2	2	no	—
116	C₅×(C₂×D₃)⋊C₄	—	2	1	no	—
117	C₅×(C₂×D₃)⋊C₄	—	2	1	no	—
118	C₅×(C₂×D₃)⋊C₄	—	2	1	no	—
119	C₅×(C₂×D₃)⋊C₄	—	2	1	no	—
120	C₅×Dic₃⋊C₄	—	2	1	no	—
121	C₅×Dic₃⋊C₄	—	2	1	no	—
122	C₅×Dic₃⋊C₄	—	2	1	no	—
123	C₅×Dic₃⋊C₄	—	2	1	no	—
124	C₄×C₅×Dic₃	—	2	1	no	—
125	C₄×C₅×Dic₃	—	2	1	no	—
126	C₄×C₅×Dic₃	D₄	1	1	yes	characteristic
127	C₄×C₅×Dic₃	D₄	1	1	yes	characteristic
128	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
129	C₄×C₅×Dic₃	C₂³	1	1	yes	characteristic
130	C₂×C₅×C₃⋊C₈	—	2	2	no	—
131	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
132	C₂×C₅×C₃⋊C₈	C₂³	1	1	yes	characteristic
133	C₅×Dic₁₂	—	2	2	no	—
134	C₅×D₂₄	—	2	2	no	—
135	C₅×#204	—	2	2	no	—
136	C₅×#204	—	2	2	no	—
137	#5832	C₂×C₅	1	1	yes	characteristic, complemented
138	C₂×#950	C₂×C₅	1	1	yes	characteristic, complemented
139	C₂×#904	C₂×C₅	1	1	yes	characteristic, complemented
140	#5522	C₂×C₅	1	1	yes	characteristic, complemented
141	C₃×#416	C₂×C₅	1	1	yes	characteristic, complemented
142	C₂×Dic₃⋊C₈	C₂×C₅	1	1	yes	characteristic, complemented
143	#5002	C₂×C₅	1	1	yes	characteristic, complemented
144	#4819	C₂×C₅	1	1	yes	characteristic, complemented
145	#4818	C₂×C₅	1	1	yes	characteristic, complemented
146	#4798	C₂×C₅	1	1	yes	characteristic, complemented
147	#4795	C₂×C₅	1	1	yes	characteristic, complemented
148	#4787	C₂×C₅	1	1	yes	characteristic, complemented
149	#4786	C₂×C₅	1	1	yes	characteristic, complemented
150	#4767	C₂×C₅	1	1	yes	characteristic, complemented
151	#4762	C₂×C₅	1	1	yes	characteristic, complemented
152	C₂×C₅×#41	—	3	1	no	—
153	C₂×C₅×#41	—	3	1	no	—
154	C₂×C₅×#41	C₂×D₃	1	1	yes	characteristic
155	C₅×#135	—	6	4	no	—
156	C₅×#135	—	6	4	no	—
157	C₂×C₅×Q₁₆	—	3	1	no	—
158	C₂×C₅×Q₁₆	—	3	1	no	—
159	C₂×C₅×SD₁₆	—	3	1	no	—
160	C₂×C₅×SD₁₆	—	3	1	no	—
161	C₂×C₅×SD₁₆	—	3	1	no	—
162	C₂×C₅×SD₁₆	—	3	1	no	—
163	C₂×C₅×D₈	—	3	1	no	—
164	C₂×C₅×D₈	—	3	1	no	—
165	C₂²×C₅×C₈	—	3	1	no	—
166	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
167	C₅×C₄⋊Q₈	—	3	1	no	—
168	C₅×#127	—	3	1	no	—
169	C₅×#124	—	3	1	no	—
170	C₅×#124	—	3	1	no	—
171	C₅×#121	—	6	1	no	—
172	C₅×#121	—	6	1	no	—
173	C₄×C₅×Q₈	—	3	1	no	—
174	C₄×C₅×Q₈	—	3	1	no	—
175	C₄×C₅×D₄	—	3	1	no	—
176	C₄×C₅×D₄	—	3	1	no	—
177	C₄×C₅×D₄	—	6	1	no	—
178	C₄×C₅×D₄	—	6	1	no	—
179	C₄×C₅×D₄	—	6	1	no	—
180	C₄×C₅×D₄	—	6	1	no	—
181	C₅×#117	—	6	1	no	—
182	C₅×#117	C₂×D₃	1	1	yes	characteristic
183	C₂×C₄²×C₅	—	3	1	no	—
184	C₂×C₄²×C₅	—	6	1	no	—
185	C₅×C₄⋊C₈	—	3	1	no	—
186	C₅×C₄⋊C₈	—	3	1	no	—
187	C₅×C₄⋊C₈	—	3	1	no	—
188	C₅×C₄⋊C₈	—	3	1	no	—
189	C₅×#103	—	3	1	no	—
190	C₅×#103	—	3	1	no	—
191	C₅×#103	C₂×D₃	1	1	yes	characteristic
192	C₅×#103	C₂×D₃	1	1	yes	characteristic
193	C₅×#102	—	3	1	no	—
194	C₅×#102	—	3	1	no	—
195	C₅×#102	C₂×D₃	1	1	yes	characteristic
196	C₅×#102	C₂×D₃	1	1	yes	characteristic
197	#3035	—	3	1	no	Sylow
198	C₂³×C₃×C₅	—	2	1	no	—
199	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
200	C₂²×C₅×D₃	—	2	1	no	—
201	C₂²×C₅×D₃	—	2	1	no	—
202	C₃×C₅×Q₈	—	2	1	no	—
203	C₃×C₅×Q₈	—	2	1	no	—
204	C₃×C₅×D₄	—	2	1	no	—
205	C₃×C₅×D₄	—	2	1	no	—
206	C₃×C₅×D₄	—	4	2	no	—
207	C₂×C₃×C₄×C₅	—	2	1	no	—
208	C₂×C₃×C₄×C₅	—	2	1	no	—
209	C₂×C₃×C₄×C₅	—	2	1	no	—
210	C₂×C₃×C₄×C₅	—	4	2	no	—
211	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
212	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
213	C₂×C₃×C₄×C₅	#41	1	2	yes	—
214	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
215	C₅×#67	—	2	4	no	—
216	C₅×#67	—	4	2	no	—
217	C₅×#67	—	4	2	no	—
218	C₅×#67	—	4	2	no	—
219	C₂×C₅×Dic₃	—	2	1	no	—
220	C₂×C₅×Dic₃	—	2	2	no	—
221	C₂×C₅×Dic₃	—	2	1	no	—
222	C₂×C₅×Dic₃	—	4	1	no	—
223	C₂×C₅×Dic₃	C₂×D₄	1	1	yes	characteristic
224	C₂×C₅×Dic₃	C₂×D₄	1	1	yes	characteristic
225	C₂×C₅×Dic₃	C₂×D₄	1	1	yes	characteristic
226	C₂×C₅×Dic₃	C₂×D₄	1	1	yes	characteristic
227	C₅×D₁₂	—	2	1	no	—
228	C₅×D₁₂	—	2	1	no	—
229	C₅×D₁₂	—	2	1	no	—
230	C₅×D₁₂	C₂×D₄	1	2	yes	—
231	C₄×C₅×D₃	—	2	4	no	—
232	C₄×C₅×D₃	—	4	2	no	—
233	C₄×C₅×D₃	—	4	2	no	—
234	C₄×C₅×D₃	—	4	2	no	—
235	C₅×Dic₆	—	2	1	no	—
236	C₅×Dic₆	—	2	1	no	—
237	C₅×Dic₆	—	2	1	no	—
238	C₅×Dic₆	C₂×D₄	1	2	yes	—
239	C₃×C₅×C₈	—	2	1	no	—
240	C₃×C₅×C₈	—	2	1	no	—
241	C₅×C₃⋊C₈	—	2	1	no	—
242	C₅×C₃⋊C₈	—	2	1	no	—
243	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic
244	C₂×#235	C₂²×C₅	1	1	yes	characteristic
245	C₂×#235	C₂²×C₅	1	1	yes	characteristic
246	C₂²×C₃×C₈	C₂²×C₅	1	1	yes	characteristic
247	C₃×#117	C₂²×C₅	1	1	yes	characteristic
248	#950	—	2	4	no	—
249	#947	C₂²×C₅	1	1	yes	characteristic
250	#944	C₂²×C₅	1	1	yes	characteristic
251	C₂×#216	C₂²×C₅	1	1	yes	characteristic
252	C₂×#215	C₂²×C₅	1	1	yes	characteristic
253	#940	C₂²×C₅	1	1	yes	characteristic
254	#939	—	2	1	no	—
255	#939	—	2	1	no	—
256	#936	C₂²×C₅	1	1	yes	characteristic
257	C₂×#214	C₂²×C₅	1	1	yes	characteristic
258	C₂×#213	C₂²×C₅	1	1	yes	characteristic
259	C₄×#67	—	2	1	no	—
260	C₄×#67	—	2	1	no	—
261	C₂×C₄×Dic₃	C₂²×C₅	1	1	yes	characteristic
262	C₂²×C₃⋊C₈	C₂²×C₅	1	1	yes	characteristic
263	C₂×Dic₁₂	C₂²×C₅	1	1	yes	characteristic
264	#904	—	2	4	no	—
265	C₂×D₂₄	C₂²×C₅	1	1	yes	characteristic
266	C₂×#204	C₂²×C₅	1	1	yes	characteristic
267	C₂×#204	C₂²×C₅	1	1	yes	characteristic
268	#893	C₂²×C₅	1	1	yes	characteristic
269	#893	C₂²×C₅	1	1	yes	characteristic
270	#887	C₂²×C₅	1	1	yes	characteristic
271	#887	C₂²×C₅	1	1	yes	characteristic
272	#67⋊C₄	—	2	1	no	—
273	#67⋊C₄	—	2	1	no	—
274	#872	—	2	1	no	—
275	C₄²×D₃	—	2	1	no	—
276	C₃×#103	C₂²×C₅	1	1	yes	characteristic
277	C₃×#103	C₂²×C₅	1	1	yes	characteristic
278	C₃×#102	C₂²×C₅	1	1	yes	characteristic
279	C₃×#102	C₂²×C₅	1	1	yes	characteristic
280	Dic₃⋊C₈	C₂²×C₅	1	1	yes	characteristic
281	Dic₃⋊C₈	C₂²×C₅	1	1	yes	characteristic
282	Dic₃⋊C₈	C₂²×C₅	1	1	yes	characteristic
283	Dic₃⋊C₈	C₂²×C₅	1	1	yes	characteristic
284	#810	C₂²×C₅	1	1	yes	characteristic
285	#810	C₂²×C₅	1	1	yes	characteristic
286	#809	C₂²×C₅	1	1	yes	characteristic
287	#809	C₂²×C₅	1	1	yes	characteristic
288	C₅×#41	—	2	2	no	—
289	C₅×#41	—	2	2	no	—
290	C₅×#41	—	3	4	no	—
291	C₅×#41	—	6	2	no	—
292	C₅×#41	—	6	2	no	—
293	C₅×#41	—	6	2	no	—
294	C₂×C₅×Q₈	—	3	1	no	—
295	C₂×C₅×Q₈	—	3	1	no	—
296	C₂×C₅×Q₈	C₂²×D₃	1	1	yes	characteristic
297	C₂×C₅×D₄	—	2	1	no	—
298	C₂×C₅×D₄	—	3	1	no	—
299	C₂×C₅×D₄	—	3	1	no	—
300	C₂×C₅×D₄	—	6	1	no	—
301	C₂×C₅×D₄	—	6	1	no	—
302	C₂×C₅×D₄	—	6	1	no	—
303	C₂×C₅×D₄	—	6	1	no	—
304	C₂×C₅×D₄	C₂²×D₃	1	1	yes	characteristic
305	C₂²×C₄×C₅	—	2	1	no	—
306	C₂²×C₄×C₅	—	3	1	no	—
307	C₂²×C₄×C₅	—	3	1	no	—
308	C₂²×C₄×C₅	—	6	1	no	—
309	C₂²×C₄×C₅	—	6	1	no	—
310	C₂²×C₄×C₅	—	6	1	no	—
311	C₂²×C₄×C₅	—	6	1	no	—
312	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
313	C₅×Q₁₆	—	6	2	no	—
314	C₅×Q₁₆	—	6	2	no	—
315	C₅×SD₁₆	—	6	2	no	—
316	C₅×SD₁₆	—	6	2	no	—
317	C₅×SD₁₆	—	6	2	no	—
318	C₅×SD₁₆	—	6	2	no	—
319	C₅×D₈	—	6	2	no	—
320	C₅×D₈	—	6	2	no	—
321	C₂×C₅×C₈	—	2	2	no	—
322	C₂×C₅×C₈	—	3	1	no	—
323	C₂×C₅×C₈	—	3	1	no	—
324	C₂×C₅×C₈	—	6	2	no	—
325	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
326	C₂×C₅×C₈	C₂²×D₃	1	1	yes	characteristic
327	C₅×C₄⋊C₄	—	6	1	no	—
328	C₅×C₄⋊C₄	—	6	1	no	—
329	C₅×C₄⋊C₄	—	6	1	no	—
330	C₅×C₄⋊C₄	—	6	1	no	—
331	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
332	C₅×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
333	C₅×C₂²⋊C₄	—	2	1	no	—
334	C₅×C₂²⋊C₄	—	6	1	no	—
335	C₅×C₂²⋊C₄	—	6	1	no	—
336	C₅×C₂²⋊C₄	—	6	1	no	—
337	C₅×C₂²⋊C₄	—	6	1	no	—
338	C₅×C₂²⋊C₄	—	6	1	no	—
339	C₅×C₂²⋊C₄	—	6	1	no	—
340	C₄²×C₅	—	2	1	no	—
341	C₄²×C₅	—	3	1	no	—
342	C₄²×C₅	—	3	1	no	—
343	C₄²×C₅	—	3	1	no	—
344	C₄²×C₅	—	3	1	no	—
345	C₄²×C₅	—	6	1	no	—
346	C₄²×C₅	—	6	1	no	—
347	C₂×#135	—	3	1	no	—
348	C₂×#135	—	3	1	no	—
349	#532	—	3	1	no	—
350	C₄×#41	—	3	1	no	—
351	#464	—	3	1	no	—
352	#464	—	3	1	no	—
353	#463	—	3	1	no	—
354	#463	—	3	1	no	—
355	#462	—	3	1	no	—
356	#461	—	3	1	no	—
357	#460	—	3	1	no	—
358	#459	—	3	1	no	—
359	C₂×C₄⋊C₈	—	3	1	no	—
360	#416	—	3	1	no	—
361	#416	C₅×D₃	1	1	yes	characteristic, complemented
362	C₂²×C₃×C₅	—	2	1	no	—
363	C₂²×C₃×C₅	—	2	1	no	—
364	C₂²×C₃×C₅	—	4	1	no	—
365	C₂²×C₃×C₅	—	4	1	no	—
366	C₂²×C₃×C₅	—	4	1	no	—
367	C₂²×C₃×C₅	#121	1	2	yes	—
368	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
369	C₂×C₅×D₃	—	2	2	no	—
370	C₂×C₅×D₃	—	4	1	no	—
371	C₂×C₅×D₃	—	4	1	no	—
372	C₂×C₅×D₃	—	4	1	no	—
373	C₂×C₅×D₃	—	4	1	no	—
374	C₂×C₅×D₃	—	4	1	no	—
375	C₃×C₄×C₅	—	4	1	no	—
376	C₃×C₄×C₅	—	4	1	no	—
377	C₃×C₄×C₅	—	4	1	no	—
378	C₃×C₄×C₅	#121	1	2	yes	—
379	C₃×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
380	C₃×C₄×C₅	C₂×#41	1	1	yes	characteristic
381	C₅×Dic₃	—	2	2	no	—
382	C₅×Dic₃	—	2	1	no	—
383	C₅×Dic₃	—	2	1	no	—
384	C₅×Dic₃	—	2	1	no	—
385	C₅×Dic₃	—	4	1	no	—
386	C₅×Dic₃	#135	1	2	yes	complemented
387	C₃×#41	—	2	2	no	—
388	C₃×#41	—	2	2	no	—
389	C₂×C₃×Q₈	C₂³×C₅	1	1	yes	characteristic
390	C₂×C₃×D₄	—	2	1	no	—
391	C₂×C₃×D₄	C₂³×C₅	1	1	yes	characteristic
392	C₂²×C₃×C₄	—	2	1	no	—
393	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
394	C₂×#67	—	2	1	no	—
395	C₂×#67	—	2	1	no	—
396	C₂×#67	—	2	1	no	—
397	C₂×#67	—	2	1	no	—
398	C₂²×Dic₃	C₅×D₄	1	1	yes	characteristic
399	C₂²×Dic₃	C₅×D₄	1	1	yes	characteristic
400	#235	—	2	2	no	—
401	#235	—	2	2	no	—
402	#235	—	2	2	no	—
403	#235	C₅×D₄	1	4	yes	complemented
404	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
405	C₂×D₁₂	C₂³×C₅	1	1	yes	characteristic
406	C₂×C₄×D₃	—	2	1	no	—
407	C₂×C₄×D₃	—	2	1	no	—
408	C₂×C₄×D₃	—	2	1	no	—
409	C₂×C₄×D₃	—	2	1	no	—
410	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
411	C₂×Dic₆	C₂³×C₅	1	1	yes	characteristic
412	C₂×C₃×C₈	—	2	2	no	—
413	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
414	C₂×C₃×C₈	C₂³×C₅	1	1	yes	characteristic
415	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
416	C₃×C₄⋊C₄	C₂³×C₅	1	1	yes	characteristic
417	C₃×C₂²⋊C₄	—	2	1	no	—
418	C₃×C₄²	—	2	1	no	—
419	#217	—	2	1	no	—
420	#217	—	2	1	no	—
421	#216	—	2	2	no	—
422	#215	—	2	2	no	—
423	#214	—	2	2	no	—
424	#213	—	2	2	no	—
425	(C₂×D₃)⋊C₄	—	2	1	no	—
426	(C₂×D₃)⋊C₄	—	2	1	no	—
427	(C₂×D₃)⋊C₄	—	2	1	no	—
428	(C₂×D₃)⋊C₄	—	2	1	no	—
429	Dic₃⋊C₄	—	2	1	no	—
430	Dic₃⋊C₄	—	2	1	no	—
431	Dic₃⋊C₄	—	2	1	no	—
432	Dic₃⋊C₄	—	2	1	no	—
433	C₄×Dic₃	—	2	1	no	—
434	C₄×Dic₃	—	2	1	no	—
435	C₄×Dic₃	C₅×D₄	1	1	yes	characteristic
436	C₄×Dic₃	C₅×D₄	1	1	yes	characteristic
437	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
438	C₄×Dic₃	C₂³×C₅	1	1	yes	characteristic
439	C₂×C₃⋊C₈	—	2	2	no	—
440	C₂×C₃⋊C₈	C₂³×C₅	1	1	yes	characteristic
441	C₂×C₃⋊C₈	C₂³×C₅	1	1	yes	characteristic
442	Dic₁₂	—	2	2	no	—
443	D₂₄	—	2	2	no	—
444	#204	—	2	2	no	—
445	#204	—	2	2	no	—
446	C₂³×C₅	—	2	1	no	—
447	C₂³×C₅	—	6	1	no	—
448	C₂³×C₅	—	6	1	no	—
449	C₂³×C₅	D₃×D₄	1	1	yes	characteristic
450	C₅×Q₈	—	2	1	no	—
451	C₅×Q₈	—	2	1	no	—
452	C₅×Q₈	—	3	2	no	—
453	C₅×Q₈	—	6	1	no	—
454	C₅×Q₈	—	6	1	no	—
455	C₅×Q₈	—	6	1	no	—
456	C₅×D₄	—	2	1	no	—
457	C₅×D₄	—	2	1	no	—
458	C₅×D₄	—	3	2	no	—
459	C₅×D₄	—	4	2	no	—
460	C₅×D₄	—	6	4	no	—
461	C₅×D₄	—	6	1	no	—
462	C₅×D₄	—	6	1	no	—
463	C₅×D₄	—	6	1	no	—
464	C₅×D₄	—	12	2	no	—
465	C₅×D₄	—	12	2	no	—
466	C₅×D₄	—	12	2	no	—
467	C₂×C₄×C₅	—	2	1	no	—
468	C₂×C₄×C₅	—	2	1	no	—
469	C₂×C₄×C₅	—	2	1	no	—
470	C₂×C₄×C₅	—	3	1	no	—
471	C₂×C₄×C₅	—	3	1	no	—
472	C₂×C₄×C₅	—	3	1	no	—
473	C₂×C₄×C₅	—	3	1	no	—
474	C₂×C₄×C₅	—	4	2	no	—
475	C₂×C₄×C₅	—	6	2	no	—
476	C₂×C₄×C₅	—	6	1	no	—
477	C₂×C₄×C₅	—	6	4	no	—
478	C₂×C₄×C₅	—	6	1	no	—
479	C₂×C₄×C₅	—	12	2	no	—
480	C₂×C₄×C₅	—	12	2	no	—
481	C₂×C₄×C₅	—	12	1	no	—
482	C₂×C₄×C₅	—	12	2	no	—
483	C₂×C₄×C₅	#235	1	2	yes	—
484	C₂×C₄×C₅	D₃×D₄	1	2	yes	—
485	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
486	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
487	C₅×C₈	—	2	1	no	—
488	C₅×C₈	—	2	1	no	—
489	C₅×C₈	—	6	1	no	—
490	C₅×C₈	—	6	1	no	—
491	C₂×#41	—	3	1	no	—
492	C₂×#41	—	3	1	no	—
493	C₂×#41	C₂×C₅×D₃	1	1	yes	characteristic
494	#135	—	6	4	no	—
495	#135	—	6	4	no	—
496	C₂×Q₁₆	—	3	1	no	—
497	C₂×Q₁₆	—	3	1	no	—
498	C₂×SD₁₆	—	3	1	no	—
499	C₂×SD₁₆	—	3	1	no	—
500	C₂×SD₁₆	—	3	1	no	—
501	C₂×SD₁₆	—	3	1	no	—
502	C₂×D₈	—	3	1	no	—
503	C₂×D₈	—	3	1	no	—
504	C₂²×C₈	—	3	1	no	—
505	C₂²×C₈	C₂×C₅×D₃	1	1	yes	characteristic
506	C₄⋊Q₈	—	3	1	no	—
507	#127	—	3	1	no	—
508	#124	—	3	1	no	—
509	#124	—	3	1	no	—
510	#121	—	6	1	no	—
511	#121	—	6	1	no	—
512	C₄×Q₈	—	3	1	no	—
513	C₄×Q₈	—	3	1	no	—
514	C₄×D₄	—	3	1	no	—
515	C₄×D₄	—	3	1	no	—
516	C₄×D₄	—	6	1	no	—
517	C₄×D₄	—	6	1	no	—
518	C₄×D₄	—	6	1	no	—
519	C₄×D₄	—	6	1	no	—
520	#117	—	6	1	no	—
521	#117	C₂×C₅×D₃	1	1	yes	characteristic
522	C₂×C₄²	—	3	1	no	—
523	C₂×C₄²	—	6	1	no	—
524	C₄⋊C₈	—	3	1	no	—
525	C₄⋊C₈	—	3	1	no	—
526	C₄⋊C₈	—	3	1	no	—
527	C₄⋊C₈	—	3	1	no	—
528	#103	—	3	1	no	—
529	#103	—	3	1	no	—
530	#103	C₂×C₅×D₃	1	1	yes	characteristic
531	#103	C₂×C₅×D₃	1	1	yes	characteristic
532	#102	—	3	1	no	—
533	#102	—	3	1	no	—
534	#102	C₂×C₅×D₃	1	1	yes	characteristic
535	#102	C₂×C₅×D₃	1	1	yes	characteristic
536	C₂×C₃×C₅	—	2	2	no	—
537	C₂×C₃×C₅	—	8	1	no	—
538	C₂×C₃×C₅	C₂×#121	1	1	yes	characteristic
539	C₂×C₃×C₅	C₂×#135	1	1	yes	characteristic
540	C₂×C₃×C₅	#575	1	1	yes	characteristic
541	C₅×D₃	—	4	2	no	—
542	C₅×D₃	—	8	1	no	—
543	C₂³×C₃	—	2	1	no	—
544	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
545	C₂²×D₃	—	2	1	no	—
546	C₂²×D₃	—	2	1	no	—
547	C₃×Q₈	—	2	1	no	—
548	C₃×Q₈	—	2	1	no	—
549	C₃×D₄	—	2	1	no	—
550	C₃×D₄	—	2	1	no	—
551	C₃×D₄	—	4	2	no	—
552	C₂×C₃×C₄	—	2	1	no	—
553	C₂×C₃×C₄	—	2	1	no	—
554	C₂×C₃×C₄	—	2	1	no	—
555	C₂×C₃×C₄	—	4	2	no	—
556	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
557	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
558	C₂×C₃×C₄	C₅×#41	1	2	yes	—
559	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
560	#67	—	2	4	no	—
561	#67	—	4	2	no	—
562	#67	—	4	2	no	—
563	#67	—	4	2	no	—
564	C₂×Dic₃	—	2	1	no	—
565	C₂×Dic₃	—	2	2	no	—
566	C₂×Dic₃	—	2	1	no	—
567	C₂×Dic₃	—	4	1	no	—
568	C₂×Dic₃	C₂×C₅×D₄	1	1	yes	characteristic
569	C₂×Dic₃	C₂×C₅×D₄	1	1	yes	characteristic
570	C₂×Dic₃	C₂×C₅×D₄	1	1	yes	characteristic
571	C₂×Dic₃	C₂×C₅×D₄	1	1	yes	characteristic
572	D₁₂	—	2	1	no	—
573	D₁₂	—	2	1	no	—
574	D₁₂	—	2	1	no	—
575	D₁₂	C₂×C₅×D₄	1	2	yes	—
576	C₄×D₃	—	2	4	no	—
577	C₄×D₃	—	4	2	no	—
578	C₄×D₃	—	4	2	no	—
579	C₄×D₃	—	4	2	no	—
580	Dic₆	—	2	1	no	—
581	Dic₆	—	2	1	no	—
582	Dic₆	—	2	1	no	—
583	Dic₆	C₂×C₅×D₄	1	2	yes	—
584	C₃×C₈	—	2	1	no	—
585	C₃×C₈	—	2	1	no	—
586	C₃⋊C₈	—	2	1	no	—
587	C₃⋊C₈	—	2	1	no	—
588	C₂²×C₅	—	2	1	no	—
589	C₂²×C₅	—	2	1	no	—
590	C₂²×C₅	—	4	1	no	—
591	C₂²×C₅	—	4	1	no	—
592	C₂²×C₅	—	4	1	no	—
593	C₂²×C₅	—	6	2	no	—
594	C₂²×C₅	—	12	1	no	—
595	C₂²×C₅	—	12	1	no	—
596	C₂²×C₅	—	12	1	no	—
597	C₂²×C₅	—	12	1	no	—
598	C₂²×C₅	—	12	1	no	—
599	C₂²×C₅	#884	1	2	yes	—
600	C₂²×C₅	C₂×D₃×D₄	1	1	yes	characteristic
601	C₄×C₅	—	3	2	no	—
602	C₄×C₅	—	4	1	no	—
603	C₄×C₅	—	4	1	no	—
604	C₄×C₅	—	4	1	no	—
605	C₄×C₅	—	6	2	no	—
606	C₄×C₅	—	6	1	no	—
607	C₄×C₅	—	6	1	no	—
608	C₄×C₅	—	6	1	no	—
609	C₄×C₅	—	12	1	no	—
610	C₄×C₅	#884	1	2	yes	—
611	C₄×C₅	C₂×#235	1	1	yes	characteristic
612	C₄×C₅	C₂×D₃×D₄	1	1	yes	characteristic
613	#41	—	2	2	no	—
614	#41	—	2	2	no	—
615	#41	—	3	4	no	—
616	#41	—	6	2	no	—
617	#41	—	6	2	no	—
618	#41	—	6	2	no	—
619	C₂×Q₈	—	3	1	no	—
620	C₂×Q₈	—	3	1	no	—
621	C₂×Q₈	C₂²×C₅×D₃	1	1	yes	characteristic
622	C₂×D₄	—	2	1	no	—
623	C₂×D₄	—	3	1	no	—
624	C₂×D₄	—	3	1	no	—
625	C₂×D₄	—	6	1	no	—
626	C₂×D₄	—	6	1	no	—
627	C₂×D₄	—	6	1	no	—
628	C₂×D₄	—	6	1	no	—
629	C₂×D₄	C₂²×C₅×D₃	1	1	yes	characteristic
630	C₂²×C₄	—	2	1	no	—
631	C₂²×C₄	—	3	1	no	—
632	C₂²×C₄	—	3	1	no	—
633	C₂²×C₄	—	6	1	no	—
634	C₂²×C₄	—	6	1	no	—
635	C₂²×C₄	—	6	1	no	—
636	C₂²×C₄	—	6	1	no	—
637	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
638	Q₁₆	—	6	2	no	—
639	Q₁₆	—	6	2	no	—
640	SD₁₆	—	6	2	no	—
641	SD₁₆	—	6	2	no	—
642	SD₁₆	—	6	2	no	—
643	SD₁₆	—	6	2	no	—
644	D₈	—	6	2	no	—
645	D₈	—	6	2	no	—
646	C₂×C₈	—	2	2	no	—
647	C₂×C₈	—	3	1	no	—
648	C₂×C₈	—	3	1	no	—
649	C₂×C₈	—	6	2	no	—
650	C₂×C₈	C₂²×C₅×D₃	1	1	yes	characteristic
651	C₂×C₈	C₂²×C₅×D₃	1	1	yes	characteristic
652	C₄⋊C₄	—	6	1	no	—
653	C₄⋊C₄	—	6	1	no	—
654	C₄⋊C₄	—	6	1	no	—
655	C₄⋊C₄	—	6	1	no	—
656	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
657	C₄⋊C₄	C₂²×C₅×D₃	1	1	yes	characteristic
658	C₂²⋊C₄	—	2	1	no	—
659	C₂²⋊C₄	—	6	1	no	—
660	C₂²⋊C₄	—	6	1	no	—
661	C₂²⋊C₄	—	6	1	no	—
662	C₂²⋊C₄	—	6	1	no	—
663	C₂²⋊C₄	—	6	1	no	—
664	C₂²⋊C₄	—	6	1	no	—
665	C₄²	—	2	1	no	—
666	C₄²	—	3	1	no	—
667	C₄²	—	3	1	no	—
668	C₄²	—	3	1	no	—
669	C₄²	—	3	1	no	—
670	C₄²	—	6	1	no	—
671	C₄²	—	6	1	no	—
672	C₃×C₅	#3035	1	1	yes	characteristic, complemented, Hall
673	C₂²×C₃	—	2	1	no	—
674	C₂²×C₃	—	2	1	no	—
675	C₂²×C₃	—	4	1	no	—
676	C₂²×C₃	—	4	1	no	—
677	C₂²×C₃	—	4	1	no	—
678	C₂²×C₃	C₅×#121	1	2	yes	—
679	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
680	C₂×D₃	—	2	2	no	—
681	C₂×D₃	—	4	1	no	—
682	C₂×D₃	—	4	1	no	—
683	C₂×D₃	—	4	1	no	—
684	C₂×D₃	—	4	1	no	—
685	C₂×D₃	—	4	1	no	—
686	C₃×C₄	—	4	1	no	—
687	C₃×C₄	—	4	1	no	—
688	C₃×C₄	—	4	1	no	—
689	C₃×C₄	C₅×#121	1	2	yes	—
690	C₃×C₄	C₂²×C₅×D₄	1	1	yes	characteristic
691	C₃×C₄	C₂×C₅×#41	1	1	yes	characteristic
692	Dic₃	—	2	2	no	—
693	Dic₃	—	2	1	no	—
694	Dic₃	—	2	1	no	—
695	Dic₃	—	2	1	no	—
696	Dic₃	—	4	1	no	—
697	Dic₃	C₅×#135	1	2	yes	complemented
698	C₂×C₅	—	2	2	no	—
699	C₂×C₅	—	8	1	no	—
700	C₂×C₅	—	12	2	no	—
701	C₂×C₅	—	24	1	no	—
702	C₂×C₅	C₂×#884	1	1	yes	characteristic
703	C₂×C₅	D₃×#135	1	1	yes	characteristic
704	C₂×C₅	#5768	1	1	yes	characteristic
705	C₂³	—	2	1	no	—
706	C₂³	—	6	1	no	—
707	C₂³	—	6	1	no	—
708	C₂³	C₅×D₃×D₄	1	1	yes	characteristic
709	Q₈	—	2	1	no	—
710	Q₈	—	2	1	no	—
711	Q₈	—	3	2	no	—
712	Q₈	—	6	1	no	—
713	Q₈	—	6	1	no	—
714	Q₈	—	6	1	no	—
715	D₄	—	2	1	no	—
716	D₄	—	2	1	no	—
717	D₄	—	3	2	no	—
718	D₄	—	4	2	no	—
719	D₄	—	6	4	no	—
720	D₄	—	6	1	no	—
721	D₄	—	6	1	no	—
722	D₄	—	6	1	no	—
723	D₄	—	12	2	no	—
724	D₄	—	12	2	no	—
725	D₄	—	12	2	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	2	1	no	—
729	C₂×C₄	—	3	1	no	—
730	C₂×C₄	—	3	1	no	—
731	C₂×C₄	—	3	1	no	—
732	C₂×C₄	—	3	1	no	—
733	C₂×C₄	—	4	2	no	—
734	C₂×C₄	—	6	2	no	—
735	C₂×C₄	—	6	1	no	—
736	C₂×C₄	—	6	4	no	—
737	C₂×C₄	—	6	1	no	—
738	C₂×C₄	—	12	2	no	—
739	C₂×C₄	—	12	2	no	—
740	C₂×C₄	—	12	1	no	—
741	C₂×C₄	—	12	2	no	—
742	C₂×C₄	C₅×#235	1	2	yes	—
743	C₂×C₄	C₅×D₃×D₄	1	1	yes	characteristic
744	C₂×C₄	C₅×D₃×D₄	1	2	yes	—
745	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
746	C₈	—	2	1	no	—
747	C₈	—	2	1	no	—
748	C₈	—	6	1	no	—
749	C₈	—	6	1	no	—
750	C₂×C₃	—	2	2	no	—
751	C₂×C₃	—	8	1	no	—
752	C₂×C₃	C₂×C₅×#121	1	1	yes	characteristic
753	C₂×C₃	C₂×C₅×#135	1	1	yes	characteristic
754	C₂×C₃	C₅×#575	1	1	yes	characteristic
755	D₃	—	4	2	no	—
756	D₃	—	8	1	no	—
757	C₅	#78861	1	1	yes	characteristic, direct product factor, Sylow
758	C₂²	—	2	1	no	—
759	C₂²	—	2	1	no	—
760	C₂²	—	4	1	no	—
761	C₂²	—	4	1	no	—
762	C₂²	—	4	1	no	—
763	C₂²	—	6	2	no	—
764	C₂²	—	12	1	no	—
765	C₂²	—	12	1	no	—
766	C₂²	—	12	1	no	—
767	C₂²	—	12	1	no	—
768	C₂²	—	12	1	no	—
769	C₂²	C₅×#884	1	2	yes	—
770	C₂²	C₂×C₅×D₃×D₄	1	1	yes	characteristic
771	C₄	—	3	2	no	—
772	C₄	—	4	1	no	—
773	C₄	—	4	1	no	—
774	C₄	—	4	1	no	—
775	C₄	—	6	2	no	—
776	C₄	—	6	1	no	—
777	C₄	—	6	1	no	—
778	C₄	—	6	1	no	—
779	C₄	—	12	1	no	—
780	C₄	C₅×#884	1	2	yes	—
781	C₄	C₂×C₅×#235	1	1	yes	characteristic
782	C₄	C₂×C₅×D₃×D₄	1	1	yes	characteristic
783	C₃	C₅×#3035	1	1	yes	characteristic, complemented, Sylow
784	C₂	—	2	2	no	—
785	C₂	—	8	1	no	—
786	C₂	—	12	2	no	—
787	C₂	—	24	1	no	—
788	C₂	C₂×C₅×#884	1	1	yes	characteristic
789	C₂	C₅×D₃×#135	1	1	yes	characteristic
790	C₂	C₅×#5768	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄×C₅	D₃×D₄
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₅
Frattini	C₂×C₄	C₂³×C₅×D₃
Fitting	C₃×C₅×#416	C₂
socle	C₂²×C₃×C₅	C₂²×D₄
hypercenter	C₅×#416	D₃
hypocenter	C₃	C₅×#3035
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₄×C₅ ◁ C₂²×C₄×C₅ ◁ C₅×#416

Complements

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

N	H ≅ G/N	type
1. C₅×#5832	C₂	semidirect
2. C₂×C₅×#950	C₂	semidirect
3. C₂×C₅×#904	C₂	semidirect
4. C₅×#5522	C₂	semidirect
5. C₃×C₅×#416	C₂	semidirect
6. C₂×C₅×Dic₃⋊C₈	C₂	semidirect
7. C₅×#5002	C₂	semidirect
8. C₅×#4819	C₂	semidirect
9. C₅×#4818	C₂	semidirect
10. C₅×#4798	C₂	semidirect
11. C₅×#4795	C₂	semidirect
12. C₅×#4787	C₂	semidirect
13. C₅×#4786	C₂	semidirect
14. C₅×#4767	C₂	semidirect
15. C₅×#4762	C₂	semidirect
62. #78861	C₅	direct (N × H)
77. C₅×#416	D₃	semidirect
94. C₅×#235	D₄	semidirect
137. #5832	C₂×C₅	semidirect
138. C₂×#950	C₂×C₅	semidirect
139. C₂×#904	C₂×C₅	semidirect
140. #5522	C₂×C₅	semidirect
141. C₃×#416	C₂×C₅	semidirect
142. C₂×Dic₃⋊C₈	C₂×C₅	semidirect
143. #5002	C₂×C₅	semidirect
144. #4819	C₂×C₅	semidirect
145. #4818	C₂×C₅	semidirect
146. #4798	C₂×C₅	semidirect
147. #4795	C₂×C₅	semidirect
148. #4787	C₂×C₅	semidirect
149. #4786	C₂×C₅	semidirect
150. #4767	C₂×C₅	semidirect
151. #4762	C₂×C₅	semidirect
361. #416	C₅×D₃	semidirect
386. C₅×Dic₃	#135	semidirect
403. #235	C₅×D₄	semidirect
672. C₃×C₅	#3035	semidirect
697. Dic₃	C₅×#135	semidirect
757. C₅	#78861	direct (N × H)
783. C₃	C₅×#3035	semidirect

Maximal subgroups

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

subgroup	index
C₅×#5832	2
C₂×C₅×#950	2
C₂×C₅×#904	2
C₅×#5522	2
C₃×C₅×#416	2
C₂×C₅×Dic₃⋊C₈	2
C₅×#5002	2
C₅×#4819	2
C₅×#4818	2
C₅×#4798	2
C₅×#4795	2
C₅×#4787	2
C₅×#4786	2
C₅×#4767	2
C₅×#4762	2
C₅×#3035	3
#78861	5

Subgroups — C5×#78861 #14426220

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#78861 #14426220