Subgroups — C₅×#34739 #11957459

Order 1280.

2598 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₅×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×C₅×#117	C₂	1	1	yes	maximal, characteristic
3	C₅×#2442	C₂	1	2	yes	maximal, complemented
4	C₅×#2441	C₂	1	2	yes	maximal, complemented
5	C₅×#2440	C₂	1	2	yes	maximal, complemented
6	C₅×#2439	C₂	1	2	yes	maximal, complemented
7	C₅×#2438	C₂	1	4	yes	maximal, complemented
8	C₅×#2437	C₂	1	4	yes	maximal
9	C₅×#2396	C₂	1	4	yes	maximal, complemented
10	C₄×C₅×C₂²⋊Q₈	C₂	1	4	yes	maximal, complemented
11	C₅×#2296	C₂	1	1	yes	maximal, characteristic, complemented
12	C₅×#2296	C₂	1	1	yes	maximal, characteristic, complemented
13	C₅×#2285	C₂	1	1	yes	maximal, characteristic, complemented
14	C₅×#2280	C₂	1	1	yes	maximal, characteristic
15	C₂×C₄×C₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic
16	C₂⁴×C₄×C₅	C₂²	1	1	yes	characteristic
17	C₅×#533	—	2	8	no	—
18	C₂×C₅×C₄⋊Q₈	C₂²	1	2	yes	complemented
19	C₂×C₅×#125	C₂²	1	2	yes	complemented
20	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
21	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
22	C₂×C₄×C₅×Q₈	C₂²	1	4	yes	complemented
23	C₂×C₅×#117	—	2	8	no	—
24	C₂×C₅×#117	C₂²	1	1	yes	characteristic
25	C₂×C₅×#117	C₂²	1	1	yes	characteristic
26	C₂×C₅×#117	C₂²	1	1	yes	characteristic
27	C₂×C₅×#117	C₂²	1	2	yes	—
28	C₂×C₅×#117	C₂²	1	2	yes	—
29	C₂×C₅×#117	C₂²	1	2	yes	—
30	C₂×C₅×#117	C₂²	1	1	yes	characteristic
31	C₂²×C₅×C₄⋊C₄	C₂²	1	2	yes	—
32	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
33	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
34	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
35	C₂²×C₄²×C₅	C₂²	1	1	yes	characteristic
36	C₂²×C₄²×C₅	C₂²	1	2	yes	—
37	C₅×#400	C₂²	1	4	yes	complemented
38	C₅×#399	C₂²	1	4	yes	—
39	C₅×#398	C₂²	1	4	yes	complemented
40	C₅×#398	C₂²	1	4	yes	complemented
41	C₅×#396	C₂²	1	4	yes	—
42	C₅×#396	C₂²	1	4	yes	—
43	C₅×#395	C₂²	1	4	yes	complemented
44	C₅×#393	C₂²	1	4	yes	—
45	C₅×#391	C₂²	1	4	yes	complemented
46	C₅×#389	C₂²	1	2	yes	complemented
47	C₅×#389	C₂²	1	2	yes	complemented
48	C₅×#389	C₂²	1	2	yes	complemented
49	C₅×#389	C₂²	1	2	yes	complemented
50	C₅×#389	C₂²	1	4	yes	complemented
51	C₅×#387	C₂²	1	4	yes	complemented
52	C₅×#387	C₂²	1	4	yes	complemented
53	C₅×#385	C₂²	1	4	yes	—
54	C₅×#385	C₂²	1	4	yes	—
55	C₅×#385	C₂²	1	4	yes	—
56	C₅×#385	C₂²	1	4	yes	—
57	C₅×#384	C₂²	1	2	yes	complemented
58	C₅×#382	C₂²	1	2	yes	complemented
59	C₅×#381	C₂²	1	2	yes	—
60	C₅×#380	C₂²	1	2	yes	—
61	C₅×#380	C₂²	1	2	yes	—
62	C₅×#380	C₂²	1	4	yes	—
63	C₅×#380	C₂²	1	4	yes	—
64	C₅×#379	C₂²	1	2	yes	—
65	C₄×C₅×C₄⋊C₄	C₂²	1	4	yes	complemented
66	C₄×C₅×C₄⋊C₄	C₂²	1	4	yes	complemented
67	C₄×C₅×C₄⋊C₄	C₂²	1	4	yes	complemented
68	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
69	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
70	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
71	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
72	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
73	C₄×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
74	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
75	C₄×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
76	C₂×C₅×#95	C₂²	1	2	yes	—
77	#34739	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
78	C₂⁵×C₅	C₂³	1	1	yes	characteristic
79	C₂²×C₅×Q₈	C₂³	1	4	yes	—
80	C₂³×C₄×C₅	—	2	4	no	—
81	C₂³×C₄×C₅	—	2	4	no	—
82	C₂³×C₄×C₅	Q₈	1	8	yes	complemented
83	C₂³×C₄×C₅	C₂³	1	2	yes	—
84	C₂³×C₄×C₅	C₂³	1	2	yes	—
85	C₂³×C₄×C₅	C₂³	1	4	yes	—
86	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
87	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
90	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
91	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
92	C₅×C₄⋊Q₈	—	2	8	no	—
93	C₅×#125	—	2	8	no	—
94	C₅×C₂²⋊Q₈	—	2	16	no	—
95	C₅×C₂²⋊Q₈	—	2	16	no	—
96	C₄×C₅×Q₈	—	2	16	no	—
97	C₅×#117	—	2	4	no	—
98	C₅×#117	—	2	4	no	—
99	C₅×#117	—	2	4	no	—
100	C₅×#117	—	2	8	no	—
101	C₅×#117	—	2	8	no	—
102	C₅×#117	—	2	8	no	—
103	C₅×#117	D₄	1	8	yes	—
104	C₂×C₅×C₄⋊C₄	—	2	8	no	—
105	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
106	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
107	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
108	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
109	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
110	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
111	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
112	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
113	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
114	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
115	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
116	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
117	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	—
118	C₂×C₅×C₄⋊C₄	C₂³	1	2	yes	—
119	C₂×C₅×C₂²⋊C₄	—	2	8	no	—
120	C₂×C₅×C₂²⋊C₄	—	2	8	no	—
121	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
122	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
123	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
124	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
125	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
126	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
127	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
128	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
129	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
130	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
131	C₂×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
132	C₂×C₄²×C₅	—	2	4	no	—
133	C₂×C₄²×C₅	—	2	4	no	—
134	C₂×C₄²×C₅	—	2	8	no	—
135	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
136	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
137	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
138	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
139	C₂×C₄²×C₅	C₂³	1	4	yes	—
140	C₂×C₄²×C₅	C₂³	1	2	yes	—
141	C₂×C₄²×C₅	C₂³	1	2	yes	—
142	C₂×C₄²×C₅	C₂³	1	2	yes	—
143	C₂×C₄²×C₅	C₂³	1	2	yes	—
144	C₂×C₄²×C₅	C₂³	1	2	yes	—
145	C₂×C₄²×C₅	C₂³	1	2	yes	—
146	C₅×#95	C₂³	1	2	yes	—
147	C₅×#95	C₂³	1	2	yes	—
148	C₅×#95	C₂³	1	2	yes	—
149	C₅×#95	C₂³	1	2	yes	—
150	C₅×#95	C₂³	1	4	yes	—
151	C₅×#95	C₂³	1	4	yes	—
152	C₅×#95	C₂³	1	4	yes	—
153	C₅×#95	C₂³	1	4	yes	—
154	C₅×#95	C₂³	1	4	yes	—
155	C₅×#95	C₂³	1	4	yes	—
156	C₅×#95	C₂³	1	4	yes	—
157	C₅×#95	C₂³	1	4	yes	—
158	C₂×#533	C₂×C₅	1	1	yes	characteristic, complemented
159	C₂²×#117	C₂×C₅	1	1	yes	characteristic
160	#2442	C₂×C₅	1	2	yes	complemented
161	#2441	C₂×C₅	1	2	yes	complemented
162	#2440	C₂×C₅	1	2	yes	complemented
163	#2439	C₂×C₅	1	2	yes	complemented
164	#2438	C₂×C₅	1	4	yes	complemented
165	#2437	C₂×C₅	1	4	yes	—
166	#2396	C₂×C₅	1	4	yes	complemented
167	C₄×C₂²⋊Q₈	C₂×C₅	1	4	yes	complemented
168	#2296	C₂×C₅	1	1	yes	characteristic, complemented
169	#2296	C₂×C₅	1	1	yes	characteristic, complemented
170	#2285	C₂×C₅	1	1	yes	characteristic, complemented
171	#2280	C₂×C₅	1	1	yes	characteristic
172	C₂×C₄×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic
173	C₂⁴×C₅	—	2	2	no	—
174	C₂⁴×C₅	—	2	4	no	—
175	C₂⁴×C₅	—	2	2	no	—
176	C₂⁴×C₅	—	4	2	no	—
177	C₂⁴×C₅	C₂×Q₈	1	4	yes	—
178	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
179	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
180	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
181	C₂×C₅×Q₈	—	2	8	no	—
182	C₂×C₅×Q₈	—	2	8	no	—
183	C₂×C₅×Q₈	—	4	4	no	—
184	C₂²×C₄×C₅	—	2	2	no	—
185	C₂²×C₄×C₅	—	2	2	no	—
186	C₂²×C₄×C₅	—	2	32	no	—
187	C₂²×C₄×C₅	—	2	2	no	—
188	C₂²×C₄×C₅	—	2	2	no	—
189	C₂²×C₄×C₅	—	2	2	no	—
190	C₂²×C₄×C₅	—	2	2	no	—
191	C₂²×C₄×C₅	—	2	2	no	—
192	C₂²×C₄×C₅	—	2	2	no	—
193	C₂²×C₄×C₅	—	2	2	no	—
194	C₂²×C₄×C₅	—	2	2	no	—
195	C₂²×C₄×C₅	—	2	4	no	—
196	C₂²×C₄×C₅	—	2	4	no	—
197	C₂²×C₄×C₅	—	2	8	no	—
198	C₂²×C₄×C₅	—	2	8	no	—
199	C₂²×C₄×C₅	—	2	4	no	—
200	C₂²×C₄×C₅	—	2	4	no	—
201	C₂²×C₄×C₅	—	4	2	no	—
202	C₂²×C₄×C₅	—	4	4	no	—
203	C₂²×C₄×C₅	—	4	2	no	—
204	C₂²×C₄×C₅	C₂×D₄	1	4	yes	—
205	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
206	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
207	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
208	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
209	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
210	C₂²×C₄×C₅	C₂×Q₈	1	4	yes	—
211	C₂²×C₄×C₅	#41	1	4	yes	—
212	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
213	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
214	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
215	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
216	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
217	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
218	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
219	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
220	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
221	C₂²×C₄×C₅	C₂⁴	1	2	yes	—
222	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
223	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
224	C₅×C₄⋊C₄	—	2	8	no	—
225	C₅×C₄⋊C₄	—	2	4	no	—
226	C₅×C₄⋊C₄	—	2	4	no	—
227	C₅×C₄⋊C₄	—	2	8	no	—
228	C₅×C₄⋊C₄	—	2	8	no	—
229	C₅×C₄⋊C₄	—	2	8	no	—
230	C₅×C₄⋊C₄	—	2	4	no	—
231	C₅×C₄⋊C₄	—	2	8	no	—
232	C₅×C₄⋊C₄	—	2	8	no	—
233	C₅×C₄⋊C₄	—	2	8	no	—
234	C₅×C₄⋊C₄	—	4	4	no	—
235	C₅×C₄⋊C₄	—	4	4	no	—
236	C₅×C₄⋊C₄	—	4	4	no	—
237	C₅×C₄⋊C₄	C₂×D₄	1	8	yes	—
238	C₅×C₂²⋊C₄	—	2	4	no	—
239	C₅×C₂²⋊C₄	—	2	4	no	—
240	C₅×C₂²⋊C₄	—	2	4	no	—
241	C₅×C₂²⋊C₄	—	2	4	no	—
242	C₅×C₂²⋊C₄	—	2	8	no	—
243	C₅×C₂²⋊C₄	—	2	8	no	—
244	C₅×C₂²⋊C₄	—	2	4	no	—
245	C₅×C₂²⋊C₄	—	2	4	no	—
246	C₅×C₂²⋊C₄	—	4	4	no	—
247	C₅×C₂²⋊C₄	C₂×D₄	1	8	yes	—
248	C₅×C₂²⋊C₄	#41	1	8	yes	—
249	C₄²×C₅	—	2	8	no	—
250	C₄²×C₅	—	2	4	no	—
251	C₄²×C₅	—	2	4	no	—
252	C₄²×C₅	—	2	2	no	—
253	C₄²×C₅	—	2	2	no	—
254	C₄²×C₅	—	2	4	no	—
255	C₄²×C₅	—	2	2	no	—
256	C₄²×C₅	—	2	4	no	—
257	C₄²×C₅	—	2	2	no	—
258	C₄²×C₅	—	2	4	no	—
259	C₄²×C₅	C₂×D₄	1	8	yes	—
260	C₂⁴×C₄	C₂²×C₅	1	1	yes	characteristic
261	#533	—	2	8	no	—
262	C₂×C₄⋊Q₈	C₂²×C₅	1	2	yes	complemented
263	C₂×#125	C₂²×C₅	1	2	yes	complemented
264	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
265	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
266	C₂×C₄×Q₈	C₂²×C₅	1	4	yes	complemented
267	C₂×#117	—	2	8	no	—
268	C₂×#117	C₂²×C₅	1	2	yes	—
269	C₂×#117	C₂²×C₅	1	2	yes	—
270	C₂×#117	C₂²×C₅	1	2	yes	—
271	C₂×#117	C₂²×C₅	1	1	yes	characteristic
272	C₂×#117	C₂²×C₅	1	1	yes	characteristic
273	C₂×#117	C₂²×C₅	1	1	yes	characteristic
274	C₂×#117	C₂²×C₅	1	1	yes	characteristic
275	C₂²×C₄⋊C₄	C₂²×C₅	1	2	yes	—
276	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
277	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
278	C₂²×C₄²	C₂²×C₅	1	2	yes	—
279	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
280	C₂²×C₄²	C₂²×C₅	1	1	yes	characteristic
281	#400	C₂²×C₅	1	4	yes	complemented
282	#399	C₂²×C₅	1	4	yes	—
283	#398	C₂²×C₅	1	4	yes	complemented
284	#398	C₂²×C₅	1	4	yes	complemented
285	#396	C₂²×C₅	1	4	yes	—
286	#396	C₂²×C₅	1	4	yes	—
287	#395	C₂²×C₅	1	4	yes	complemented
288	#393	C₂²×C₅	1	4	yes	—
289	#391	C₂²×C₅	1	4	yes	complemented
290	#389	C₂²×C₅	1	4	yes	complemented
291	#389	C₂²×C₅	1	2	yes	complemented
292	#389	C₂²×C₅	1	2	yes	complemented
293	#389	C₂²×C₅	1	2	yes	complemented
294	#389	C₂²×C₅	1	2	yes	complemented
295	#387	C₂²×C₅	1	4	yes	complemented
296	#387	C₂²×C₅	1	4	yes	complemented
297	#385	C₂²×C₅	1	4	yes	—
298	#385	C₂²×C₅	1	4	yes	—
299	#385	C₂²×C₅	1	4	yes	—
300	#385	C₂²×C₅	1	4	yes	—
301	#384	C₂²×C₅	1	2	yes	complemented
302	#382	C₂²×C₅	1	2	yes	complemented
303	#381	C₂²×C₅	1	2	yes	—
304	#380	C₂²×C₅	1	4	yes	—
305	#380	C₂²×C₅	1	4	yes	—
306	#380	C₂²×C₅	1	2	yes	—
307	#380	C₂²×C₅	1	2	yes	—
308	#379	C₂²×C₅	1	2	yes	—
309	C₄×C₄⋊C₄	C₂²×C₅	1	4	yes	complemented
310	C₄×C₄⋊C₄	C₂²×C₅	1	4	yes	complemented
311	C₄×C₄⋊C₄	C₂²×C₅	1	4	yes	complemented
312	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
313	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
314	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
315	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
316	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
317	C₄×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
318	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
319	C₄×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
320	C₂×#95	C₂²×C₅	1	2	yes	—
321	C₂³×C₅	—	2	1	no	—
322	C₂³×C₅	—	2	1	no	—
323	C₂³×C₅	—	2	2	no	—
324	C₂³×C₅	—	2	2	no	—
325	C₂³×C₅	—	2	2	no	—
326	C₂³×C₅	—	2	8	no	—
327	C₂³×C₅	—	2	8	no	—
328	C₂³×C₅	—	2	1	no	—
329	C₂³×C₅	—	2	2	no	—
330	C₂³×C₅	—	2	1	no	—
331	C₂³×C₅	—	2	2	no	—
332	C₂³×C₅	—	4	4	no	—
333	C₂³×C₅	—	4	8	no	—
334	C₂³×C₅	—	4	8	no	—
335	C₂³×C₅	C₂²×D₄	1	2	yes	—
336	C₂³×C₅	C₂²×Q₈	1	2	yes	—
337	C₂³×C₅	C₂²×Q₈	1	2	yes	—
338	C₂³×C₅	C₂²×Q₈	1	2	yes	—
339	C₂³×C₅	C₂×#41	1	2	yes	—
340	C₂³×C₅	C₂×#41	1	4	yes	—
341	C₂³×C₅	C₂⁵	1	1	yes	characteristic
342	C₅×Q₈	—	4	16	no	—
343	C₂×C₄×C₅	—	2	8	no	—
344	C₂×C₄×C₅	—	2	1	no	—
345	C₂×C₄×C₅	—	2	2	no	—
346	C₂×C₄×C₅	—	2	1	no	—
347	C₂×C₄×C₅	—	2	2	no	—
348	C₂×C₄×C₅	—	2	4	no	—
349	C₂×C₄×C₅	—	2	1	no	—
350	C₂×C₄×C₅	—	2	1	no	—
351	C₂×C₄×C₅	—	2	2	no	—
352	C₂×C₄×C₅	—	2	4	no	—
353	C₂×C₄×C₅	—	2	2	no	—
354	C₂×C₄×C₅	—	2	8	no	—
355	C₂×C₄×C₅	—	2	8	no	—
356	C₂×C₄×C₅	—	2	8	no	—
357	C₂×C₄×C₅	—	2	8	no	—
358	C₂×C₄×C₅	—	2	4	no	—
359	C₂×C₄×C₅	—	2	2	no	—
360	C₂×C₄×C₅	—	2	4	no	—
361	C₂×C₄×C₅	—	2	2	no	—
362	C₂×C₄×C₅	—	2	4	no	—
363	C₂×C₄×C₅	—	2	2	no	—
364	C₂×C₄×C₅	—	2	2	no	—
365	C₂×C₄×C₅	—	2	4	no	—
366	C₂×C₄×C₅	—	2	4	no	—
367	C₂×C₄×C₅	—	2	4	no	—
368	C₂×C₄×C₅	—	2	4	no	—
369	C₂×C₄×C₅	—	2	4	no	—
370	C₂×C₄×C₅	—	2	4	no	—
371	C₂×C₄×C₅	—	2	2	no	—
372	C₂×C₄×C₅	—	2	2	no	—
373	C₂×C₄×C₅	—	4	16	no	—
374	C₂×C₄×C₅	—	4	8	no	—
375	C₂×C₄×C₅	—	4	8	no	—
376	C₂×C₄×C₅	C₂²⋊Q₈	1	16	yes	complemented
377	C₂×C₄×C₅	C₂²×D₄	1	8	yes	—
378	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
379	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
380	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
381	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
382	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
383	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
384	C₂×C₄×C₅	C₂×#41	1	4	yes	—
385	C₂×C₄×C₅	C₂×#41	1	4	yes	—
386	C₂×C₄×C₅	C₂×#41	1	2	yes	—
387	C₂×C₄×C₅	C₂×#41	1	2	yes	—
388	C₂⁵	C₂³×C₅	1	1	yes	characteristic
389	C₂²×Q₈	C₂³×C₅	1	4	yes	—
390	C₂³×C₄	—	2	4	no	—
391	C₂³×C₄	—	2	4	no	—
392	C₂³×C₄	C₅×Q₈	1	8	yes	complemented
393	C₂³×C₄	C₂³×C₅	1	4	yes	—
394	C₂³×C₄	C₂³×C₅	1	2	yes	—
395	C₂³×C₄	C₂³×C₅	1	2	yes	—
396	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
397	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
398	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
399	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
400	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
401	C₂³×C₄	C₂³×C₅	1	1	yes	characteristic
402	C₄⋊Q₈	—	2	8	no	—
403	#125	—	2	8	no	—
404	C₂²⋊Q₈	—	2	16	no	—
405	C₂²⋊Q₈	—	2	16	no	—
406	C₄×Q₈	—	2	16	no	—
407	#117	—	2	4	no	—
408	#117	—	2	4	no	—
409	#117	—	2	4	no	—
410	#117	—	2	8	no	—
411	#117	—	2	8	no	—
412	#117	—	2	8	no	—
413	#117	C₅×D₄	1	8	yes	—
414	C₂×C₄⋊C₄	—	2	8	no	—
415	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
416	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
417	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
418	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
419	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
420	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
421	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
422	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
423	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
424	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
425	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
426	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
427	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	—
428	C₂×C₄⋊C₄	C₂³×C₅	1	2	yes	—
429	C₂×C₂²⋊C₄	—	2	8	no	—
430	C₂×C₂²⋊C₄	—	2	8	no	—
431	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
432	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
433	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
434	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
435	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
436	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
437	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
438	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
439	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
440	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
441	C₂×C₂²⋊C₄	C₂³×C₅	1	2	yes	—
442	C₂×C₄²	—	2	4	no	—
443	C₂×C₄²	—	2	4	no	—
444	C₂×C₄²	—	2	8	no	—
445	C₂×C₄²	C₂³×C₅	1	2	yes	—
446	C₂×C₄²	C₂³×C₅	1	4	yes	—
447	C₂×C₄²	C₂³×C₅	1	2	yes	—
448	C₂×C₄²	C₂³×C₅	1	2	yes	—
449	C₂×C₄²	C₂³×C₅	1	2	yes	—
450	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
451	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
452	C₂×C₄²	C₂³×C₅	1	2	yes	—
453	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
454	C₂×C₄²	C₂³×C₅	1	1	yes	characteristic
455	C₂×C₄²	C₂³×C₅	1	2	yes	—
456	#95	C₂³×C₅	1	2	yes	—
457	#95	C₂³×C₅	1	2	yes	—
458	#95	C₂³×C₅	1	2	yes	—
459	#95	C₂³×C₅	1	2	yes	—
460	#95	C₂³×C₅	1	4	yes	—
461	#95	C₂³×C₅	1	4	yes	—
462	#95	C₂³×C₅	1	4	yes	—
463	#95	C₂³×C₅	1	4	yes	—
464	#95	C₂³×C₅	1	4	yes	—
465	#95	C₂³×C₅	1	4	yes	—
466	#95	C₂³×C₅	1	4	yes	—
467	#95	C₂³×C₅	1	4	yes	—
468	C₂²×C₅	—	2	2	no	—
469	C₂²×C₅	—	2	2	no	—
470	C₂²×C₅	—	2	2	no	—
471	C₂²×C₅	—	2	2	no	—
472	C₂²×C₅	—	2	4	no	—
473	C₂²×C₅	—	2	4	no	—
474	C₂²×C₅	—	2	4	no	—
475	C₂²×C₅	—	2	4	no	—
476	C₂²×C₅	—	2	2	no	—
477	C₂²×C₅	—	2	2	no	—
478	C₂²×C₅	—	2	2	no	—
479	C₂²×C₅	—	4	16	no	—
480	C₂²×C₅	—	4	2	no	—
481	C₂²×C₅	—	4	2	no	—
482	C₂²×C₅	C₂×C₂²⋊Q₈	1	4	yes	—
483	C₂²×C₅	#533	1	4	yes	complemented
484	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
485	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
486	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
487	C₂²×C₅	C₂²×#41	1	2	yes	—
488	C₂²×C₅	#585	1	2	yes	—
489	C₄×C₅	—	2	2	no	—
490	C₄×C₅	—	2	2	no	—
491	C₄×C₅	—	2	8	no	—
492	C₄×C₅	—	2	4	no	—
493	C₄×C₅	—	2	4	no	—
494	C₄×C₅	—	4	4	no	—
495	C₄×C₅	—	4	2	no	—
496	C₄×C₅	—	4	4	no	—
497	C₄×C₅	—	4	4	no	—
498	C₄×C₅	—	4	2	no	—
499	C₄×C₅	C₂×C₂²⋊Q₈	1	4	yes	—
500	C₄×C₅	C₂×C₂²⋊Q₈	1	4	yes	—
501	C₂⁴	—	2	2	no	—
502	C₂⁴	—	2	4	no	—
503	C₂⁴	—	2	2	no	—
504	C₂⁴	—	4	2	no	—
505	C₂⁴	C₂×C₅×Q₈	1	4	yes	—
506	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
507	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
508	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
509	C₂×Q₈	—	2	8	no	—
510	C₂×Q₈	—	2	8	no	—
511	C₂×Q₈	—	4	4	no	—
512	C₂²×C₄	—	2	2	no	—
513	C₂²×C₄	—	2	2	no	—
514	C₂²×C₄	—	2	32	no	—
515	C₂²×C₄	—	2	2	no	—
516	C₂²×C₄	—	2	2	no	—
517	C₂²×C₄	—	2	2	no	—
518	C₂²×C₄	—	2	2	no	—
519	C₂²×C₄	—	2	2	no	—
520	C₂²×C₄	—	2	2	no	—
521	C₂²×C₄	—	2	2	no	—
522	C₂²×C₄	—	2	2	no	—
523	C₂²×C₄	—	2	4	no	—
524	C₂²×C₄	—	2	4	no	—
525	C₂²×C₄	—	2	8	no	—
526	C₂²×C₄	—	2	8	no	—
527	C₂²×C₄	—	2	4	no	—
528	C₂²×C₄	—	2	4	no	—
529	C₂²×C₄	—	4	2	no	—
530	C₂²×C₄	—	4	4	no	—
531	C₂²×C₄	—	4	2	no	—
532	C₂²×C₄	C₂×C₅×D₄	1	4	yes	—
533	C₂²×C₄	C₂×C₅×Q₈	1	4	yes	—
534	C₂²×C₄	C₂×C₅×Q₈	1	4	yes	—
535	C₂²×C₄	C₂×C₅×Q₈	1	4	yes	—
536	C₂²×C₄	C₂×C₅×Q₈	1	4	yes	—
537	C₂²×C₄	C₂×C₅×Q₈	1	4	yes	—
538	C₂²×C₄	C₂×C₅×Q₈	1	4	yes	—
539	C₂²×C₄	C₅×#41	1	4	yes	—
540	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
541	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
542	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
543	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
544	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
545	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
546	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
547	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
548	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
549	C₂²×C₄	C₂⁴×C₅	1	2	yes	—
550	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
551	C₂²×C₄	C₂⁴×C₅	1	1	yes	characteristic
552	C₄⋊C₄	—	2	8	no	—
553	C₄⋊C₄	—	2	4	no	—
554	C₄⋊C₄	—	2	4	no	—
555	C₄⋊C₄	—	2	8	no	—
556	C₄⋊C₄	—	2	8	no	—
557	C₄⋊C₄	—	2	8	no	—
558	C₄⋊C₄	—	2	4	no	—
559	C₄⋊C₄	—	2	8	no	—
560	C₄⋊C₄	—	2	8	no	—
561	C₄⋊C₄	—	2	8	no	—
562	C₄⋊C₄	—	4	4	no	—
563	C₄⋊C₄	—	4	4	no	—
564	C₄⋊C₄	—	4	4	no	—
565	C₄⋊C₄	C₂×C₅×D₄	1	8	yes	—
566	C₂²⋊C₄	—	2	4	no	—
567	C₂²⋊C₄	—	2	4	no	—
568	C₂²⋊C₄	—	2	4	no	—
569	C₂²⋊C₄	—	2	4	no	—
570	C₂²⋊C₄	—	2	8	no	—
571	C₂²⋊C₄	—	2	8	no	—
572	C₂²⋊C₄	—	2	4	no	—
573	C₂²⋊C₄	—	2	4	no	—
574	C₂²⋊C₄	—	4	4	no	—
575	C₂²⋊C₄	C₂×C₅×D₄	1	8	yes	—
576	C₂²⋊C₄	C₅×#41	1	8	yes	—
577	C₄²	—	2	8	no	—
578	C₄²	—	2	4	no	—
579	C₄²	—	2	4	no	—
580	C₄²	—	2	2	no	—
581	C₄²	—	2	2	no	—
582	C₄²	—	2	4	no	—
583	C₄²	—	2	2	no	—
584	C₄²	—	2	4	no	—
585	C₄²	—	2	2	no	—
586	C₄²	—	2	4	no	—
587	C₄²	C₂×C₅×D₄	1	8	yes	—
588	C₂×C₅	—	2	4	no	—
589	C₂×C₅	—	2	4	no	—
590	C₂×C₅	—	4	2	no	—
591	C₂×C₅	C₂²×C₂²⋊Q₈	1	1	yes	characteristic
592	C₂×C₅	C₂×#533	1	1	yes	characteristic
593	C₂×C₅	#3458	1	1	yes	characteristic
594	C₂×C₅	D₄×#41	1	2	yes	—
595	C₂×C₅	#3475	1	2	yes	—
596	C₂³	—	2	1	no	—
597	C₂³	—	2	1	no	—
598	C₂³	—	2	2	no	—
599	C₂³	—	2	2	no	—
600	C₂³	—	2	2	no	—
601	C₂³	—	2	8	no	—
602	C₂³	—	2	8	no	—
603	C₂³	—	2	1	no	—
604	C₂³	—	2	2	no	—
605	C₂³	—	2	1	no	—
606	C₂³	—	2	2	no	—
607	C₂³	—	4	4	no	—
608	C₂³	—	4	8	no	—
609	C₂³	—	4	8	no	—
610	C₂³	C₂²×C₅×D₄	1	2	yes	—
611	C₂³	C₂²×C₅×Q₈	1	2	yes	—
612	C₂³	C₂²×C₅×Q₈	1	2	yes	—
613	C₂³	C₂²×C₅×Q₈	1	2	yes	—
614	C₂³	C₂×C₅×#41	1	2	yes	—
615	C₂³	C₂×C₅×#41	1	4	yes	—
616	C₂³	C₂⁵×C₅	1	1	yes	characteristic
617	Q₈	—	4	16	no	—
618	C₂×C₄	—	2	8	no	—
619	C₂×C₄	—	2	1	no	—
620	C₂×C₄	—	2	2	no	—
621	C₂×C₄	—	2	1	no	—
622	C₂×C₄	—	2	2	no	—
623	C₂×C₄	—	2	4	no	—
624	C₂×C₄	—	2	1	no	—
625	C₂×C₄	—	2	1	no	—
626	C₂×C₄	—	2	2	no	—
627	C₂×C₄	—	2	4	no	—
628	C₂×C₄	—	2	2	no	—
629	C₂×C₄	—	2	8	no	—
630	C₂×C₄	—	2	8	no	—
631	C₂×C₄	—	2	8	no	—
632	C₂×C₄	—	2	8	no	—
633	C₂×C₄	—	2	4	no	—
634	C₂×C₄	—	2	2	no	—
635	C₂×C₄	—	2	4	no	—
636	C₂×C₄	—	2	2	no	—
637	C₂×C₄	—	2	4	no	—
638	C₂×C₄	—	2	2	no	—
639	C₂×C₄	—	2	2	no	—
640	C₂×C₄	—	2	4	no	—
641	C₂×C₄	—	2	4	no	—
642	C₂×C₄	—	2	4	no	—
643	C₂×C₄	—	2	4	no	—
644	C₂×C₄	—	2	4	no	—
645	C₂×C₄	—	2	4	no	—
646	C₂×C₄	—	2	2	no	—
647	C₂×C₄	—	2	2	no	—
648	C₂×C₄	—	4	16	no	—
649	C₂×C₄	—	4	8	no	—
650	C₂×C₄	—	4	8	no	—
651	C₂×C₄	C₅×C₂²⋊Q₈	1	16	yes	complemented
652	C₂×C₄	C₂²×C₅×D₄	1	8	yes	—
653	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
654	C₂×C₄	C₂²×C₅×D₄	1	2	yes	—
655	C₂×C₄	C₂²×C₅×Q₈	1	2	yes	—
656	C₂×C₄	C₂²×C₅×Q₈	1	2	yes	—
657	C₂×C₄	C₂²×C₅×Q₈	1	2	yes	—
658	C₂×C₄	C₂²×C₅×Q₈	1	2	yes	—
659	C₂×C₄	C₂×C₅×#41	1	4	yes	—
660	C₂×C₄	C₂×C₅×#41	1	4	yes	—
661	C₂×C₄	C₂×C₅×#41	1	2	yes	—
662	C₂×C₄	C₂×C₅×#41	1	2	yes	—
663	C₅	#34739	1	1	yes	characteristic, direct product factor, Sylow
664	C₂²	—	2	2	no	—
665	C₂²	—	2	2	no	—
666	C₂²	—	2	2	no	—
667	C₂²	—	2	2	no	—
668	C₂²	—	2	4	no	—
669	C₂²	—	2	4	no	—
670	C₂²	—	2	4	no	—
671	C₂²	—	2	4	no	—
672	C₂²	—	2	2	no	—
673	C₂²	—	2	2	no	—
674	C₂²	—	2	2	no	—
675	C₂²	—	4	16	no	—
676	C₂²	—	4	2	no	—
677	C₂²	—	4	2	no	—
678	C₂²	C₂×C₅×C₂²⋊Q₈	1	4	yes	—
679	C₂²	C₅×#533	1	4	yes	complemented
680	C₂²	C₂³×C₅×D₄	1	1	yes	characteristic
681	C₂²	C₂³×C₅×Q₈	1	1	yes	characteristic
682	C₂²	C₂²×C₅×#41	1	1	yes	characteristic
683	C₂²	C₂²×C₅×#41	1	2	yes	—
684	C₂²	C₅×#585	1	2	yes	—
685	C₄	—	2	2	no	—
686	C₄	—	2	2	no	—
687	C₄	—	2	8	no	—
688	C₄	—	2	4	no	—
689	C₄	—	2	4	no	—
690	C₄	—	4	4	no	—
691	C₄	—	4	2	no	—
692	C₄	—	4	4	no	—
693	C₄	—	4	2	no	—
694	C₄	—	4	4	no	—
695	C₄	C₂×C₅×C₂²⋊Q₈	1	4	yes	—
696	C₄	C₂×C₅×C₂²⋊Q₈	1	4	yes	—
697	C₂	—	2	4	no	—
698	C₂	—	2	4	no	—
699	C₂	—	4	2	no	—
700	C₂	C₂²×C₅×C₂²⋊Q₈	1	1	yes	characteristic
701	C₂	C₂×C₅×#533	1	1	yes	characteristic
702	C₂	C₅×#3458	1	1	yes	characteristic
703	C₂	C₅×D₄×#41	1	2	yes	—
704	C₂	C₅×#3475	1	2	yes	—

	subgroup	G/H
center	C₂²×C₄×C₅	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁵×C₅
socle	C₂³×C₅	C₂⁵
prime radical	C₂⁵×C₅	C₂³
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₅×#533	C₂	semidirect
3. C₅×#2442	C₂	semidirect
4. C₅×#2441	C₂	semidirect
5. C₅×#2440	C₂	semidirect
6. C₅×#2439	C₂	semidirect
7. C₅×#2438	C₂	semidirect
9. C₅×#2396	C₂	semidirect
10. C₄×C₅×C₂²⋊Q₈	C₂	semidirect
11. C₅×#2296	C₂	semidirect
12. C₅×#2296	C₂	semidirect
13. C₅×#2285	C₂	semidirect
18. C₂×C₅×C₄⋊Q₈	C₂²	semidirect
19. C₂×C₅×#125	C₂²	semidirect
22. C₂×C₄×C₅×Q₈	C₂²	semidirect
37. C₅×#400	C₂²	semidirect
39. C₅×#398	C₂²	semidirect
40. C₅×#398	C₂²	semidirect
43. C₅×#395	C₂²	semidirect
45. C₅×#391	C₂²	semidirect
46. C₅×#389	C₂²	semidirect
47. C₅×#389	C₂²	semidirect
48. C₅×#389	C₂²	semidirect
49. C₅×#389	C₂²	semidirect
50. C₅×#389	C₂²	semidirect
51. C₅×#387	C₂²	semidirect
52. C₅×#387	C₂²	semidirect
57. C₅×#384	C₂²	semidirect
58. C₅×#382	C₂²	semidirect
65. C₄×C₅×C₄⋊C₄	C₂²	semidirect
66. C₄×C₅×C₄⋊C₄	C₂²	semidirect
67. C₄×C₅×C₄⋊C₄	C₂²	semidirect
77. #34739	C₅	direct (N × H)
82. C₂³×C₄×C₅	Q₈	semidirect
158. C₂×#533	C₂×C₅	semidirect
160. #2442	C₂×C₅	semidirect
161. #2441	C₂×C₅	semidirect
162. #2440	C₂×C₅	semidirect
163. #2439	C₂×C₅	semidirect
164. #2438	C₂×C₅	semidirect
166. #2396	C₂×C₅	semidirect
167. C₄×C₂²⋊Q₈	C₂×C₅	semidirect
168. #2296	C₂×C₅	semidirect
169. #2296	C₂×C₅	semidirect
170. #2285	C₂×C₅	semidirect
262. C₂×C₄⋊Q₈	C₂²×C₅	semidirect
263. C₂×#125	C₂²×C₅	semidirect
266. C₂×C₄×Q₈	C₂²×C₅	semidirect
281. #400	C₂²×C₅	semidirect
283. #398	C₂²×C₅	semidirect
284. #398	C₂²×C₅	semidirect
287. #395	C₂²×C₅	semidirect
289. #391	C₂²×C₅	semidirect
290. #389	C₂²×C₅	semidirect
291. #389	C₂²×C₅	semidirect
292. #389	C₂²×C₅	semidirect
293. #389	C₂²×C₅	semidirect
294. #389	C₂²×C₅	semidirect
295. #387	C₂²×C₅	semidirect
296. #387	C₂²×C₅	semidirect
301. #384	C₂²×C₅	semidirect
302. #382	C₂²×C₅	semidirect
309. C₄×C₄⋊C₄	C₂²×C₅	semidirect
310. C₄×C₄⋊C₄	C₂²×C₅	semidirect
311. C₄×C₄⋊C₄	C₂²×C₅	semidirect
376. C₂×C₄×C₅	C₂²⋊Q₈	semidirect
392. C₂³×C₄	C₅×Q₈	semidirect
483. C₂²×C₅	#533	semidirect
651. C₂×C₄	C₅×C₂²⋊Q₈	semidirect
663. C₅	#34739	direct (N × H)
679. C₂²	C₅×#533	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₅×#533	2
C₂²×C₅×#117	2
C₅×#2442	2
C₅×#2441	2
C₅×#2440	2
C₅×#2439	2
C₅×#2438	2
C₅×#2437	2
C₅×#2396	2
C₄×C₅×C₂²⋊Q₈	2
C₅×#2296	2
C₅×#2285	2
C₅×#2280	2
C₂×C₄×C₅×C₂²⋊C₄	2
#34739	5

Subgroups — C5×#34739 #11957459

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₅×#34739 #11957459