Subgroups — C₂×C₅×#3490 #11985486

Order 1280.

9502 conjugacy classes of subgroups.

The subgroup lattice has 572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3490	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₅×#551	C₂	1	8	yes	maximal, complemented
3	C₂×C₅×#546	C₂	1	8	yes	maximal, complemented
4	C₂×C₅×#543	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#538	C₂	1	4	yes	maximal, complemented
6	C₂×C₅×#534	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₅×#525	C₂	1	4	yes	maximal, complemented
8	C₂²×C₅×#120	C₂	1	2	yes	maximal, complemented
9	C₂×C₅×#518	C₂	1	2	yes	maximal, complemented
10	C₂³×C₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂⁶×C₅	C₂²	1	1	yes	characteristic
12	C₂²×C₅×#41	C₂²	1	4	yes	complemented
13	C₂³×C₅×D₄	C₂²	1	2	yes	—
14	C₂³×C₅×D₄	C₂²	1	4	yes	complemented
15	C₂⁴×C₄×C₅	C₂²	1	2	yes	complemented
16	C₅×#551	C₂²	1	128	yes	complemented
17	C₅×#546	C₂²	1	128	yes	complemented
18	C₅×#543	C₂²	1	16	yes	complemented
19	C₅×#538	C₂²	1	64	yes	complemented
20	C₅×#534	C₂²	1	16	yes	complemented
21	C₂×C₅×#126	C₂²	1	8	yes	complemented
22	C₂×C₅×#124	C₂²	1	8	yes	complemented
23	C₅×#525	C₂²	1	64	yes	complemented
24	C₂×C₅×#123	C₂²	1	8	yes	complemented
25	C₂×C₅×#123	C₂²	1	8	yes	complemented
26	C₂×C₅×#123	C₂²	1	4	yes	complemented
27	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
28	C₂×C₅×C₂²⋊Q₈	C₂²	1	4	yes	complemented
29	C₂×C₅×C₂²⋊Q₈	C₂²	1	8	yes	complemented
30	C₂×C₅×#121	C₂²	1	8	yes	complemented
31	C₂×C₅×#121	C₂²	1	4	yes	complemented
32	C₂×C₅×#121	C₂²	1	4	yes	complemented
33	C₂×C₅×#120	C₂²	1	8	yes	—
34	C₂×C₅×#120	C₂²	1	4	yes	complemented
35	C₂×C₅×#120	C₂²	1	4	yes	complemented
36	C₂×C₅×#120	C₂²	1	32	yes	complemented
37	C₂×C₅×#120	C₂²	1	4	yes	complemented
38	C₅×#518	C₂²	1	32	yes	complemented
39	C₂×C₄×C₅×D₄	C₂²	1	8	yes	complemented
40	C₂×C₄×C₅×D₄	C₂²	1	8	yes	complemented
41	C₂×C₄×C₅×D₄	C₂²	1	8	yes	complemented
42	C₂×C₅×#117	C₂²	1	4	yes	complemented
43	C₂×C₅×#117	C₂²	1	4	yes	complemented
44	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂²×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	—
47	C₂²×C₅×C₂²⋊C₄	C₂²	1	2	yes	complemented
48	C₂²×C₅×C₂²⋊C₄	C₂²	1	8	yes	complemented
49	C₂²×C₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
50	C₂²×C₅×C₂²⋊C₄	C₂²	1	16	yes	complemented
51	C₂²×C₅×C₂²⋊C₄	C₂²	1	4	yes	complemented
52	C₂×#3490	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
53	C₂⁵×C₅	—	2	8	no	—
54	C₂⁵×C₅	—	4	8	no	—
55	C₂⁵×C₅	C₂³	1	1	yes	characteristic
56	C₂⁵×C₅	C₂³	1	4	yes	—
57	C₂⁵×C₅	C₂³	1	1	yes	characteristic
58	C₂⁵×C₅	C₂³	1	8	yes	—
59	C₂⁵×C₅	C₂³	1	2	yes	—
60	C₂⁵×C₅	C₂³	1	1	yes	characteristic
61	C₂×C₅×#41	—	4	16	no	—
62	C₂×C₅×#41	C₂³	1	32	yes	complemented
63	C₂²×C₅×Q₈	C₂³	1	4	yes	complemented
64	C₂²×C₅×D₄	—	2	16	no	—
65	C₂²×C₅×D₄	—	4	16	no	—
66	C₂²×C₅×D₄	C₂³	1	4	yes	—
67	C₂²×C₅×D₄	C₂³	1	4	yes	—
68	C₂²×C₅×D₄	C₂³	1	8	yes	—
69	C₂²×C₅×D₄	C₂³	1	16	yes	—
70	C₂²×C₅×D₄	C₂³	1	8	yes	—
71	C₂²×C₅×D₄	C₂³	1	32	yes	complemented
72	C₂²×C₅×D₄	C₂³	1	4	yes	complemented
73	C₂³×C₄×C₅	—	4	8	no	—
74	C₂³×C₄×C₅	C₂³	1	2	yes	—
75	C₂³×C₄×C₅	C₂³	1	4	yes	—
76	C₂³×C₄×C₅	C₂³	1	2	yes	—
77	C₂³×C₄×C₅	C₂³	1	4	yes	—
78	C₂³×C₄×C₅	C₂³	1	2	yes	—
79	C₂³×C₄×C₅	C₂³	1	4	yes	—
80	C₂³×C₄×C₅	C₂³	1	16	yes	complemented
81	C₂³×C₄×C₅	C₂³	1	8	yes	complemented
82	C₅×#126	C₂³	1	64	yes	complemented
83	C₅×#124	C₂³	1	64	yes	complemented
84	C₅×#123	C₂³	1	64	yes	complemented
85	C₅×#123	C₂³	1	64	yes	complemented
86	C₅×#123	C₂³	1	32	yes	complemented
87	C₅×C₂²⋊Q₈	C₂³	1	32	yes	complemented
88	C₅×C₂²⋊Q₈	C₂³	1	32	yes	complemented
89	C₅×C₂²⋊Q₈	C₂³	1	64	yes	complemented
90	C₅×#121	C₂³	1	64	yes	complemented
91	C₅×#121	C₂³	1	32	yes	complemented
92	C₅×#121	C₂³	1	32	yes	complemented
93	C₅×#120	C₂³	1	64	yes	—
94	C₅×#120	C₂³	1	32	yes	complemented
95	C₅×#120	C₂³	1	32	yes	complemented
96	C₅×#120	C₂³	1	32	yes	complemented
97	C₄×C₅×D₄	C₂³	1	64	yes	complemented
98	C₄×C₅×D₄	C₂³	1	64	yes	complemented
99	C₄×C₅×D₄	C₂³	1	64	yes	complemented
100	C₅×#117	C₂³	1	32	yes	complemented
101	C₅×#117	C₂³	1	32	yes	complemented
102	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
103	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
104	C₂×C₅×C₄⋊C₄	C₂³	1	4	yes	complemented
105	C₂×C₅×C₄⋊C₄	C₂³	1	8	yes	complemented
106	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
107	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
108	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
109	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
110	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
111	C₂×C₅×C₂²⋊C₄	C₂³	1	4	yes	—
112	C₂×C₅×C₂²⋊C₄	C₂³	1	16	yes	—
113	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
114	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
115	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	—
116	C₂×C₅×C₂²⋊C₄	C₂³	1	16	yes	complemented
117	C₂×C₅×C₂²⋊C₄	C₂³	1	64	yes	complemented
118	C₂×C₅×C₂²⋊C₄	C₂³	1	32	yes	complemented
119	C₂×C₅×C₂²⋊C₄	C₂³	1	32	yes	complemented
120	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
121	C₂×C₅×C₂²⋊C₄	C₂³	1	8	yes	complemented
122	C₂×C₄²×C₅	C₂³	1	8	yes	complemented
123	#3490	C₂×C₅	1	32	yes	direct product factor
124	C₂×#551	C₂×C₅	1	8	yes	complemented
125	C₂×#546	C₂×C₅	1	8	yes	complemented
126	C₂×#543	C₂×C₅	1	1	yes	characteristic, complemented
127	C₂×#538	C₂×C₅	1	4	yes	complemented
128	C₂×#534	C₂×C₅	1	1	yes	characteristic, complemented
129	C₂×#525	C₂×C₅	1	4	yes	complemented
130	C₂²×#120	C₂×C₅	1	2	yes	complemented
131	C₂×#518	C₂×C₅	1	2	yes	complemented
132	C₂³×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
133	C₂⁴×C₅	—	2	4	no	—
134	C₂⁴×C₅	—	2	8	no	—
135	C₂⁴×C₅	—	2	16	no	—
136	C₂⁴×C₅	—	2	4	no	—
137	C₂⁴×C₅	—	2	32	no	—
138	C₂⁴×C₅	—	2	16	no	—
139	C₂⁴×C₅	—	2	8	no	—
140	C₂⁴×C₅	—	4	4	no	—
141	C₂⁴×C₅	—	4	8	no	—
142	C₂⁴×C₅	—	4	32	no	—
143	C₂⁴×C₅	—	4	4	no	—
144	C₂⁴×C₅	—	4	8	no	—
145	C₂⁴×C₅	—	4	64	no	—
146	C₂⁴×C₅	#41	1	8	yes	complemented
147	C₂⁴×C₅	C₂⁴	1	4	yes	—
148	C₂⁴×C₅	C₂⁴	1	2	yes	—
149	C₂⁴×C₅	C₂⁴	1	4	yes	—
150	C₂⁴×C₅	C₂⁴	1	16	yes	—
151	C₂⁴×C₅	C₂⁴	1	2	yes	—
152	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
153	C₂⁴×C₅	C₂⁴	1	2	yes	—
154	C₂⁴×C₅	C₂⁴	1	4	yes	—
155	C₂⁴×C₅	C₂⁴	1	8	yes	—
156	C₂⁴×C₅	C₂⁴	1	4	yes	—
157	C₅×#41	—	4	64	no	—
158	C₂×C₅×Q₈	—	4	8	no	—
159	C₂×C₅×Q₈	C₂⁴	1	16	yes	complemented
160	C₂×C₅×D₄	—	2	16	no	—
161	C₂×C₅×D₄	—	2	16	no	—
162	C₂×C₅×D₄	—	2	64	no	—
163	C₂×C₅×D₄	—	2	32	no	—
164	C₂×C₅×D₄	—	4	16	no	—
165	C₂×C₅×D₄	—	4	8	no	—
166	C₂×C₅×D₄	—	4	64	no	—
167	C₂×C₅×D₄	C₂⁴	1	16	yes	—
168	C₂×C₅×D₄	C₂⁴	1	16	yes	—
169	C₂×C₅×D₄	C₂⁴	1	32	yes	—
170	C₂×C₅×D₄	C₂⁴	1	32	yes	—
171	C₂×C₅×D₄	C₂⁴	1	16	yes	complemented
172	C₂²×C₄×C₅	—	2	8	no	—
173	C₂²×C₄×C₅	—	2	16	no	—
174	C₂²×C₄×C₅	—	4	4	no	—
175	C₂²×C₄×C₅	—	4	8	no	—
176	C₂²×C₄×C₅	—	4	4	no	—
177	C₂²×C₄×C₅	—	4	32	no	—
178	C₂²×C₄×C₅	—	4	8	no	—
179	C₂²×C₄×C₅	—	4	16	no	—
180	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
181	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
182	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
183	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
184	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
185	C₂²×C₄×C₅	C₂⁴	1	4	yes	—
186	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
187	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
188	C₂²×C₄×C₅	C₂⁴	1	8	yes	—
189	C₂²×C₄×C₅	C₂⁴	1	16	yes	—
190	C₂²×C₄×C₅	C₂⁴	1	32	yes	complemented
191	C₅×C₄⋊C₄	C₂⁴	1	32	yes	complemented
192	C₅×C₄⋊C₄	C₂⁴	1	16	yes	complemented
193	C₅×C₄⋊C₄	C₂⁴	1	16	yes	complemented
194	C₅×C₄⋊C₄	C₂⁴	1	32	yes	complemented
195	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
196	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
197	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
198	C₅×C₂²⋊C₄	C₂⁴	1	16	yes	—
199	C₅×C₂²⋊C₄	C₂⁴	1	32	yes	—
200	C₅×C₂²⋊C₄	C₂⁴	1	32	yes	—
201	C₅×C₂²⋊C₄	C₂⁴	1	32	yes	—
202	C₅×C₂²⋊C₄	C₂⁴	1	32	yes	complemented
203	C₅×C₂²⋊C₄	C₂⁴	1	32	yes	complemented
204	C₄²×C₅	C₂⁴	1	32	yes	complemented
205	C₂⁶	C₂²×C₅	1	1	yes	characteristic
206	C₂²×#41	C₂²×C₅	1	4	yes	complemented
207	C₂³×D₄	C₂²×C₅	1	2	yes	—
208	C₂³×D₄	C₂²×C₅	1	4	yes	complemented
209	C₂⁴×C₄	C₂²×C₅	1	2	yes	complemented
210	#551	C₂²×C₅	1	128	yes	complemented
211	#546	C₂²×C₅	1	128	yes	complemented
212	#543	C₂²×C₅	1	16	yes	complemented
213	#538	C₂²×C₅	1	64	yes	complemented
214	#534	C₂²×C₅	1	16	yes	complemented
215	C₂×#126	C₂²×C₅	1	8	yes	complemented
216	C₂×#124	C₂²×C₅	1	8	yes	complemented
217	#525	C₂²×C₅	1	64	yes	complemented
218	C₂×#123	C₂²×C₅	1	8	yes	complemented
219	C₂×#123	C₂²×C₅	1	8	yes	complemented
220	C₂×#123	C₂²×C₅	1	4	yes	complemented
221	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
222	C₂×C₂²⋊Q₈	C₂²×C₅	1	4	yes	complemented
223	C₂×C₂²⋊Q₈	C₂²×C₅	1	8	yes	complemented
224	C₂×#121	C₂²×C₅	1	8	yes	complemented
225	C₂×#121	C₂²×C₅	1	4	yes	complemented
226	C₂×#121	C₂²×C₅	1	4	yes	complemented
227	C₂×#120	C₂²×C₅	1	8	yes	—
228	C₂×#120	C₂²×C₅	1	4	yes	complemented
229	C₂×#120	C₂²×C₅	1	4	yes	complemented
230	C₂×#120	C₂²×C₅	1	32	yes	complemented
231	C₂×#120	C₂²×C₅	1	4	yes	complemented
232	#518	C₂²×C₅	1	32	yes	complemented
233	C₂×C₄×D₄	C₂²×C₅	1	8	yes	complemented
234	C₂×C₄×D₄	C₂²×C₅	1	8	yes	complemented
235	C₂×C₄×D₄	C₂²×C₅	1	8	yes	complemented
236	C₂×#117	C₂²×C₅	1	4	yes	complemented
237	C₂×#117	C₂²×C₅	1	4	yes	complemented
238	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
239	C₂²×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
240	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	—
241	C₂²×C₂²⋊C₄	C₂²×C₅	1	2	yes	complemented
242	C₂²×C₂²⋊C₄	C₂²×C₅	1	8	yes	complemented
243	C₂²×C₂²⋊C₄	C₂²×C₅	1	4	yes	complemented
244	C₂²×C₂²⋊C₄	C₂²×C₅	1	16	yes	complemented
245	C₂²×C₂²⋊C₄	C₂²×C₅	1	4	yes	complemented
246	C₂³×C₅	—	2	32	no	—
247	C₂³×C₅	—	2	8	no	—
248	C₂³×C₅	—	2	4	no	—
249	C₂³×C₅	—	2	16	no	—
250	C₂³×C₅	—	2	4	no	—
251	C₂³×C₅	—	2	4	no	—
252	C₂³×C₅	—	2	8	no	—
253	C₂³×C₅	—	2	8	no	—
254	C₂³×C₅	—	2	32	no	—
255	C₂³×C₅	—	2	8	no	—
256	C₂³×C₅	—	2	4	no	—
257	C₂³×C₅	—	2	16	no	—
258	C₂³×C₅	—	2	32	no	—
259	C₂³×C₅	—	2	8	no	—
260	C₂³×C₅	—	2	16	no	—
261	C₂³×C₅	—	4	16	no	—
262	C₂³×C₅	—	4	8	no	—
263	C₂³×C₅	—	4	16	no	—
264	C₂³×C₅	—	4	8	no	—
265	C₂³×C₅	—	4	16	no	—
266	C₂³×C₅	—	4	64	no	—
267	C₂³×C₅	—	4	128	no	—
268	C₂³×C₅	—	4	16	no	—
269	C₂³×C₅	—	8	16	no	—
270	C₂³×C₅	C₂×#41	1	8	yes	—
271	C₂³×C₅	C₂×#41	1	4	yes	—
272	C₂³×C₅	C₂×#41	1	16	yes	complemented
273	C₂³×C₅	H(5,𝔽₂)	1	8	yes	—
274	C₂³×C₅	C₂⁵	1	4	yes	—
275	C₂³×C₅	C₂⁵	1	8	yes	—
276	C₂³×C₅	C₂⁵	1	4	yes	—
277	C₂³×C₅	C₂⁵	1	2	yes	—
278	C₂³×C₅	C₂⁵	1	4	yes	—
279	C₂³×C₅	C₂⁵	1	1	yes	characteristic
280	C₅×Q₈	—	4	16	no	—
281	C₅×D₄	—	2	32	no	—
282	C₅×D₄	—	2	32	no	—
283	C₅×D₄	—	2	64	no	—
284	C₅×D₄	—	4	32	no	—
285	C₅×D₄	—	4	16	no	—
286	C₂×C₄×C₅	—	2	16	no	—
287	C₂×C₄×C₅	—	2	8	no	—
288	C₂×C₄×C₅	—	2	8	no	—
289	C₂×C₄×C₅	—	2	8	no	—
290	C₂×C₄×C₅	—	2	32	no	—
291	C₂×C₄×C₅	—	2	16	no	—
292	C₂×C₄×C₅	—	4	8	no	—
293	C₂×C₄×C₅	—	4	16	no	—
294	C₂×C₄×C₅	—	4	8	no	—
295	C₂×C₄×C₅	—	4	16	no	—
296	C₂×C₄×C₅	—	4	32	no	—
297	C₂×C₄×C₅	C₂⁵	1	8	yes	—
298	C₂×C₄×C₅	C₂⁵	1	8	yes	—
299	C₂×C₄×C₅	C₂⁵	1	16	yes	—
300	C₂×C₄×C₅	C₂⁵	1	8	yes	—
301	C₂⁵	—	2	8	no	—
302	C₂⁵	—	4	8	no	—
303	C₂⁵	C₂³×C₅	1	1	yes	characteristic
304	C₂⁵	C₂³×C₅	1	4	yes	—
305	C₂⁵	C₂³×C₅	1	1	yes	characteristic
306	C₂⁵	C₂³×C₅	1	8	yes	—
307	C₂⁵	C₂³×C₅	1	2	yes	—
308	C₂⁵	C₂³×C₅	1	1	yes	characteristic
309	C₂×#41	—	4	16	no	—
310	C₂×#41	C₂³×C₅	1	32	yes	complemented
311	C₂²×Q₈	C₂³×C₅	1	4	yes	complemented
312	C₂²×D₄	—	2	16	no	—
313	C₂²×D₄	—	4	16	no	—
314	C₂²×D₄	C₂³×C₅	1	4	yes	—
315	C₂²×D₄	C₂³×C₅	1	4	yes	—
316	C₂²×D₄	C₂³×C₅	1	8	yes	—
317	C₂²×D₄	C₂³×C₅	1	16	yes	—
318	C₂²×D₄	C₂³×C₅	1	8	yes	—
319	C₂²×D₄	C₂³×C₅	1	32	yes	complemented
320	C₂²×D₄	C₂³×C₅	1	4	yes	complemented
321	C₂³×C₄	—	4	8	no	—
322	C₂³×C₄	C₂³×C₅	1	2	yes	—
323	C₂³×C₄	C₂³×C₅	1	4	yes	—
324	C₂³×C₄	C₂³×C₅	1	2	yes	—
325	C₂³×C₄	C₂³×C₅	1	4	yes	—
326	C₂³×C₄	C₂³×C₅	1	2	yes	—
327	C₂³×C₄	C₂³×C₅	1	4	yes	—
328	C₂³×C₄	C₂³×C₅	1	16	yes	complemented
329	C₂³×C₄	C₂³×C₅	1	8	yes	complemented
330	#126	C₂³×C₅	1	64	yes	complemented
331	#124	C₂³×C₅	1	64	yes	complemented
332	#123	C₂³×C₅	1	64	yes	complemented
333	#123	C₂³×C₅	1	64	yes	complemented
334	#123	C₂³×C₅	1	32	yes	complemented
335	C₂²⋊Q₈	C₂³×C₅	1	32	yes	complemented
336	C₂²⋊Q₈	C₂³×C₅	1	32	yes	complemented
337	C₂²⋊Q₈	C₂³×C₅	1	64	yes	complemented
338	#121	C₂³×C₅	1	64	yes	complemented
339	#121	C₂³×C₅	1	32	yes	complemented
340	#121	C₂³×C₅	1	32	yes	complemented
341	#120	C₂³×C₅	1	64	yes	—
342	#120	C₂³×C₅	1	32	yes	complemented
343	#120	C₂³×C₅	1	32	yes	complemented
344	#120	C₂³×C₅	1	32	yes	complemented
345	C₄×D₄	C₂³×C₅	1	64	yes	complemented
346	C₄×D₄	C₂³×C₅	1	64	yes	complemented
347	C₄×D₄	C₂³×C₅	1	64	yes	complemented
348	#117	C₂³×C₅	1	32	yes	complemented
349	#117	C₂³×C₅	1	32	yes	complemented
350	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	complemented
351	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	complemented
352	C₂×C₄⋊C₄	C₂³×C₅	1	4	yes	complemented
353	C₂×C₄⋊C₄	C₂³×C₅	1	8	yes	complemented
354	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
355	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
356	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
357	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
358	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
359	C₂×C₂²⋊C₄	C₂³×C₅	1	4	yes	—
360	C₂×C₂²⋊C₄	C₂³×C₅	1	16	yes	—
361	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
362	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
363	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	—
364	C₂×C₂²⋊C₄	C₂³×C₅	1	16	yes	complemented
365	C₂×C₂²⋊C₄	C₂³×C₅	1	64	yes	complemented
366	C₂×C₂²⋊C₄	C₂³×C₅	1	32	yes	complemented
367	C₂×C₂²⋊C₄	C₂³×C₅	1	32	yes	complemented
368	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	complemented
369	C₂×C₂²⋊C₄	C₂³×C₅	1	8	yes	complemented
370	C₂×C₄²	C₂³×C₅	1	8	yes	complemented
371	C₂²×C₅	—	2	32	no	—
372	C₂²×C₅	—	2	4	no	—
373	C₂²×C₅	—	2	4	no	—
374	C₂²×C₅	—	2	4	no	—
375	C₂²×C₅	—	2	8	no	—
376	C₂²×C₅	—	2	8	no	—
377	C₂²×C₅	—	2	16	no	—
378	C₂²×C₅	—	2	16	no	—
379	C₂²×C₅	—	2	8	no	—
380	C₂²×C₅	—	2	4	no	—
381	C₂²×C₅	—	2	16	no	—
382	C₂²×C₅	—	2	8	no	—
383	C₂²×C₅	—	4	16	no	—
384	C₂²×C₅	—	4	64	no	—
385	C₂²×C₅	—	4	16	no	—
386	C₂²×C₅	—	4	8	no	—
387	C₂²×C₅	—	4	16	no	—
388	C₂²×C₅	—	8	16	no	—
389	C₂²×C₅	C₂²×#41	1	8	yes	—
390	C₂²×C₅	C₂²×#41	1	4	yes	—
391	C₂²×C₅	C₂²×#41	1	2	yes	—
392	C₂²×C₅	C₂×H(5,𝔽₂)	1	8	yes	—
393	C₂²×C₅	C₂×H(5,𝔽₂)	1	4	yes	—
394	C₂²×C₅	C₂⁶	1	1	yes	characteristic
395	C₄×C₅	—	2	8	no	—
396	C₄×C₅	—	2	8	no	—
397	C₄×C₅	—	2	8	no	—
398	C₄×C₅	—	2	16	no	—
399	C₂⁴	—	2	4	no	—
400	C₂⁴	—	2	8	no	—
401	C₂⁴	—	2	16	no	—
402	C₂⁴	—	2	4	no	—
403	C₂⁴	—	2	32	no	—
404	C₂⁴	—	2	16	no	—
405	C₂⁴	—	2	8	no	—
406	C₂⁴	—	4	4	no	—
407	C₂⁴	—	4	8	no	—
408	C₂⁴	—	4	32	no	—
409	C₂⁴	—	4	4	no	—
410	C₂⁴	—	4	8	no	—
411	C₂⁴	—	4	64	no	—
412	C₂⁴	C₅×#41	1	8	yes	complemented
413	C₂⁴	C₂⁴×C₅	1	2	yes	—
414	C₂⁴	C₂⁴×C₅	1	4	yes	—
415	C₂⁴	C₂⁴×C₅	1	4	yes	—
416	C₂⁴	C₂⁴×C₅	1	16	yes	—
417	C₂⁴	C₂⁴×C₅	1	2	yes	—
418	C₂⁴	C₂⁴×C₅	1	1	yes	characteristic
419	C₂⁴	C₂⁴×C₅	1	2	yes	—
420	C₂⁴	C₂⁴×C₅	1	4	yes	—
421	C₂⁴	C₂⁴×C₅	1	8	yes	—
422	C₂⁴	C₂⁴×C₅	1	4	yes	—
423	#41	—	4	64	no	—
424	C₂×Q₈	—	4	8	no	—
425	C₂×Q₈	C₂⁴×C₅	1	16	yes	complemented
426	C₂×D₄	—	2	16	no	—
427	C₂×D₄	—	2	16	no	—
428	C₂×D₄	—	2	64	no	—
429	C₂×D₄	—	2	32	no	—
430	C₂×D₄	—	4	16	no	—
431	C₂×D₄	—	4	8	no	—
432	C₂×D₄	—	4	64	no	—
433	C₂×D₄	C₂⁴×C₅	1	16	yes	—
434	C₂×D₄	C₂⁴×C₅	1	16	yes	—
435	C₂×D₄	C₂⁴×C₅	1	32	yes	—
436	C₂×D₄	C₂⁴×C₅	1	32	yes	—
437	C₂×D₄	C₂⁴×C₅	1	16	yes	complemented
438	C₂²×C₄	—	2	8	no	—
439	C₂²×C₄	—	2	16	no	—
440	C₂²×C₄	—	4	4	no	—
441	C₂²×C₄	—	4	8	no	—
442	C₂²×C₄	—	4	4	no	—
443	C₂²×C₄	—	4	32	no	—
444	C₂²×C₄	—	4	8	no	—
445	C₂²×C₄	—	4	16	no	—
446	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
447	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
448	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
449	C₂²×C₄	C₂⁴×C₅	1	4	yes	—
450	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
451	C₂²×C₄	C₂⁴×C₅	1	16	yes	—
452	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
453	C₂²×C₄	C₂⁴×C₅	1	16	yes	—
454	C₂²×C₄	C₂⁴×C₅	1	8	yes	—
455	C₂²×C₄	C₂⁴×C₅	1	16	yes	—
456	C₂²×C₄	C₂⁴×C₅	1	32	yes	complemented
457	C₄⋊C₄	C₂⁴×C₅	1	32	yes	complemented
458	C₄⋊C₄	C₂⁴×C₅	1	16	yes	complemented
459	C₄⋊C₄	C₂⁴×C₅	1	16	yes	complemented
460	C₄⋊C₄	C₂⁴×C₅	1	32	yes	complemented
461	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
462	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
463	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
464	C₂²⋊C₄	C₂⁴×C₅	1	16	yes	—
465	C₂²⋊C₄	C₂⁴×C₅	1	32	yes	—
466	C₂²⋊C₄	C₂⁴×C₅	1	32	yes	—
467	C₂²⋊C₄	C₂⁴×C₅	1	32	yes	—
468	C₂²⋊C₄	C₂⁴×C₅	1	32	yes	complemented
469	C₂²⋊C₄	C₂⁴×C₅	1	32	yes	complemented
470	C₄²	C₂⁴×C₅	1	32	yes	complemented
471	C₂×C₅	—	2	4	no	—
472	C₂×C₅	—	2	8	no	—
473	C₂×C₅	—	2	8	no	—
474	C₂×C₅	—	4	4	no	—
475	C₂×C₅	—	4	8	no	—
476	C₂×C₅	#3490	1	4	yes	direct product factor
477	C₂×C₅	C₂³×#41	1	1	yes	characteristic
478	C₂×C₅	C₂²×H(5,𝔽₂)	1	2	yes	—
479	C₂³	—	2	32	no	—
480	C₂³	—	2	8	no	—
481	C₂³	—	2	4	no	—
482	C₂³	—	2	16	no	—
483	C₂³	—	2	4	no	—
484	C₂³	—	2	4	no	—
485	C₂³	—	2	8	no	—
486	C₂³	—	2	8	no	—
487	C₂³	—	2	32	no	—
488	C₂³	—	2	8	no	—
489	C₂³	—	2	4	no	—
490	C₂³	—	2	16	no	—
491	C₂³	—	2	32	no	—
492	C₂³	—	2	8	no	—
493	C₂³	—	2	16	no	—
494	C₂³	—	4	16	no	—
495	C₂³	—	4	8	no	—
496	C₂³	—	4	16	no	—
497	C₂³	—	4	8	no	—
498	C₂³	—	4	16	no	—
499	C₂³	—	4	64	no	—
500	C₂³	—	4	128	no	—
501	C₂³	—	4	16	no	—
502	C₂³	—	8	16	no	—
503	C₂³	C₂×C₅×#41	1	8	yes	—
504	C₂³	C₂×C₅×#41	1	4	yes	—
505	C₂³	C₂×C₅×#41	1	16	yes	complemented
506	C₂³	C₅×H(5,𝔽₂)	1	8	yes	—
507	C₂³	C₂⁵×C₅	1	4	yes	—
508	C₂³	C₂⁵×C₅	1	8	yes	—
509	C₂³	C₂⁵×C₅	1	4	yes	—
510	C₂³	C₂⁵×C₅	1	2	yes	—
511	C₂³	C₂⁵×C₅	1	4	yes	—
512	C₂³	C₂⁵×C₅	1	1	yes	characteristic
513	Q₈	—	4	16	no	—
514	D₄	—	2	32	no	—
515	D₄	—	2	32	no	—
516	D₄	—	2	64	no	—
517	D₄	—	4	32	no	—
518	D₄	—	4	16	no	—
519	C₂×C₄	—	2	16	no	—
520	C₂×C₄	—	2	8	no	—
521	C₂×C₄	—	2	8	no	—
522	C₂×C₄	—	2	8	no	—
523	C₂×C₄	—	2	32	no	—
524	C₂×C₄	—	2	16	no	—
525	C₂×C₄	—	4	8	no	—
526	C₂×C₄	—	4	16	no	—
527	C₂×C₄	—	4	8	no	—
528	C₂×C₄	—	4	16	no	—
529	C₂×C₄	—	4	32	no	—
530	C₂×C₄	C₂⁵×C₅	1	8	yes	—
531	C₂×C₄	C₂⁵×C₅	1	8	yes	—
532	C₂×C₄	C₂⁵×C₅	1	16	yes	—
533	C₂×C₄	C₂⁵×C₅	1	8	yes	—
534	C₅	C₂×#3490	1	1	yes	characteristic, direct product factor, Sylow
535	C₂²	—	2	32	no	—
536	C₂²	—	2	4	no	—
537	C₂²	—	2	4	no	—
538	C₂²	—	2	4	no	—
539	C₂²	—	2	8	no	—
540	C₂²	—	2	8	no	—
541	C₂²	—	2	16	no	—
542	C₂²	—	2	16	no	—
543	C₂²	—	2	8	no	—
544	C₂²	—	2	4	no	—
545	C₂²	—	2	16	no	—
546	C₂²	—	2	8	no	—
547	C₂²	—	4	16	no	—
548	C₂²	—	4	64	no	—
549	C₂²	—	4	16	no	—
550	C₂²	—	4	8	no	—
551	C₂²	—	4	16	no	—
552	C₂²	—	8	16	no	—
553	C₂²	C₂²×C₅×#41	1	8	yes	—
554	C₂²	C₂²×C₅×#41	1	4	yes	—
555	C₂²	C₂²×C₅×#41	1	2	yes	—
556	C₂²	C₂×C₅×H(5,𝔽₂)	1	8	yes	—
557	C₂²	C₂×C₅×H(5,𝔽₂)	1	4	yes	—
558	C₂²	C₂⁶×C₅	1	1	yes	characteristic
559	C₄	—	2	8	no	—
560	C₄	—	2	8	no	—
561	C₄	—	2	8	no	—
562	C₄	—	2	16	no	—
563	C₂	—	2	4	no	—
564	C₂	—	2	8	no	—
565	C₂	—	2	8	no	—
566	C₂	—	4	4	no	—
567	C₂	—	4	8	no	—
568	C₂	C₅×#3490	1	4	yes	direct product factor
569	C₂	C₂³×C₅×#41	1	1	yes	characteristic
570	C₂	C₂²×C₅×H(5,𝔽₂)	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₅	C₂⁵
commutator, Frattini, cosocle	C₂²	C₂⁶×C₅
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₅×#3490	C₂	direct (N × H)
2. C₂×C₅×#551	C₂	semidirect
3. C₂×C₅×#546	C₂	semidirect
4. C₂×C₅×#543	C₂	semidirect
5. C₂×C₅×#538	C₂	semidirect
6. C₂×C₅×#534	C₂	semidirect
7. C₂×C₅×#525	C₂	semidirect
8. C₂²×C₅×#120	C₂	semidirect
9. C₂×C₅×#518	C₂	semidirect
10. C₂³×C₅×C₂²⋊C₄	C₂	semidirect
12. C₂²×C₅×#41	C₂²	semidirect
14. C₂³×C₅×D₄	C₂²	semidirect
15. C₂⁴×C₄×C₅	C₂²	semidirect
16. C₅×#551	C₂²	semidirect
17. C₅×#546	C₂²	semidirect
18. C₅×#543	C₂²	semidirect
19. C₅×#538	C₂²	semidirect
20. C₅×#534	C₂²	semidirect
21. C₂×C₅×#126	C₂²	semidirect
22. C₂×C₅×#124	C₂²	semidirect
23. C₅×#525	C₂²	semidirect
24. C₂×C₅×#123	C₂²	semidirect
25. C₂×C₅×#123	C₂²	semidirect
26. C₂×C₅×#123	C₂²	semidirect
27. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
28. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
29. C₂×C₅×C₂²⋊Q₈	C₂²	semidirect
30. C₂×C₅×#121	C₂²	semidirect
31. C₂×C₅×#121	C₂²	semidirect
32. C₂×C₅×#121	C₂²	semidirect
34. C₂×C₅×#120	C₂²	semidirect
35. C₂×C₅×#120	C₂²	semidirect
36. C₂×C₅×#120	C₂²	semidirect
37. C₂×C₅×#120	C₂²	semidirect
38. C₅×#518	C₂²	semidirect
39. C₂×C₄×C₅×D₄	C₂²	semidirect
40. C₂×C₄×C₅×D₄	C₂²	semidirect
41. C₂×C₄×C₅×D₄	C₂²	semidirect
42. C₂×C₅×#117	C₂²	semidirect
43. C₂×C₅×#117	C₂²	semidirect
47. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
48. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
49. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
50. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
51. C₂²×C₅×C₂²⋊C₄	C₂²	semidirect
52. C₂×#3490	C₅	direct (N × H)
62. C₂×C₅×#41	C₂³	semidirect
63. C₂²×C₅×Q₈	C₂³	semidirect
71. C₂²×C₅×D₄	C₂³	semidirect
72. C₂²×C₅×D₄	C₂³	semidirect
80. C₂³×C₄×C₅	C₂³	semidirect
81. C₂³×C₄×C₅	C₂³	semidirect
82. C₅×#126	C₂³	semidirect
83. C₅×#124	C₂³	semidirect
84. C₅×#123	C₂³	semidirect
85. C₅×#123	C₂³	semidirect
86. C₅×#123	C₂³	semidirect
87. C₅×C₂²⋊Q₈	C₂³	semidirect
88. C₅×C₂²⋊Q₈	C₂³	semidirect
89. C₅×C₂²⋊Q₈	C₂³	semidirect
90. C₅×#121	C₂³	semidirect
91. C₅×#121	C₂³	semidirect
92. C₅×#121	C₂³	semidirect
94. C₅×#120	C₂³	semidirect
95. C₅×#120	C₂³	semidirect
96. C₅×#120	C₂³	semidirect
97. C₄×C₅×D₄	C₂³	semidirect
98. C₄×C₅×D₄	C₂³	semidirect
99. C₄×C₅×D₄	C₂³	semidirect
100. C₅×#117	C₂³	semidirect
101. C₅×#117	C₂³	semidirect
102. C₂×C₅×C₄⋊C₄	C₂³	semidirect
103. C₂×C₅×C₄⋊C₄	C₂³	semidirect
104. C₂×C₅×C₄⋊C₄	C₂³	semidirect
105. C₂×C₅×C₄⋊C₄	C₂³	semidirect
116. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
117. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
118. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
119. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
120. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
121. C₂×C₅×C₂²⋊C₄	C₂³	semidirect
122. C₂×C₄²×C₅	C₂³	semidirect
123. #3490	C₂×C₅	direct (N × H)
124. C₂×#551	C₂×C₅	semidirect
125. C₂×#546	C₂×C₅	semidirect
126. C₂×#543	C₂×C₅	semidirect
127. C₂×#538	C₂×C₅	semidirect
128. C₂×#534	C₂×C₅	semidirect
129. C₂×#525	C₂×C₅	semidirect
130. C₂²×#120	C₂×C₅	semidirect
131. C₂×#518	C₂×C₅	semidirect
132. C₂³×C₂²⋊C₄	C₂×C₅	semidirect
146. C₂⁴×C₅	#41	semidirect
159. C₂×C₅×Q₈	C₂⁴	semidirect
171. C₂×C₅×D₄	C₂⁴	semidirect
190. C₂²×C₄×C₅	C₂⁴	semidirect
191. C₅×C₄⋊C₄	C₂⁴	semidirect
192. C₅×C₄⋊C₄	C₂⁴	semidirect
193. C₅×C₄⋊C₄	C₂⁴	semidirect
194. C₅×C₄⋊C₄	C₂⁴	semidirect
202. C₅×C₂²⋊C₄	C₂⁴	semidirect
203. C₅×C₂²⋊C₄	C₂⁴	semidirect
204. C₄²×C₅	C₂⁴	semidirect
206. C₂²×#41	C₂²×C₅	semidirect
208. C₂³×D₄	C₂²×C₅	semidirect
209. C₂⁴×C₄	C₂²×C₅	semidirect
210. #551	C₂²×C₅	semidirect
211. #546	C₂²×C₅	semidirect
212. #543	C₂²×C₅	semidirect
213. #538	C₂²×C₅	semidirect
214. #534	C₂²×C₅	semidirect
215. C₂×#126	C₂²×C₅	semidirect
216. C₂×#124	C₂²×C₅	semidirect
217. #525	C₂²×C₅	semidirect
218. C₂×#123	C₂²×C₅	semidirect
219. C₂×#123	C₂²×C₅	semidirect
220. C₂×#123	C₂²×C₅	semidirect
221. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
222. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
223. C₂×C₂²⋊Q₈	C₂²×C₅	semidirect
224. C₂×#121	C₂²×C₅	semidirect
225. C₂×#121	C₂²×C₅	semidirect
226. C₂×#121	C₂²×C₅	semidirect
228. C₂×#120	C₂²×C₅	semidirect
229. C₂×#120	C₂²×C₅	semidirect
230. C₂×#120	C₂²×C₅	semidirect
231. C₂×#120	C₂²×C₅	semidirect
232. #518	C₂²×C₅	semidirect
233. C₂×C₄×D₄	C₂²×C₅	semidirect
234. C₂×C₄×D₄	C₂²×C₅	semidirect
235. C₂×C₄×D₄	C₂²×C₅	semidirect
236. C₂×#117	C₂²×C₅	semidirect
237. C₂×#117	C₂²×C₅	semidirect
241. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
242. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
243. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
244. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
245. C₂²×C₂²⋊C₄	C₂²×C₅	semidirect
272. C₂³×C₅	C₂×#41	semidirect
310. C₂×#41	C₂³×C₅	semidirect
311. C₂²×Q₈	C₂³×C₅	semidirect
319. C₂²×D₄	C₂³×C₅	semidirect
320. C₂²×D₄	C₂³×C₅	semidirect
328. C₂³×C₄	C₂³×C₅	semidirect
329. C₂³×C₄	C₂³×C₅	semidirect
330. #126	C₂³×C₅	semidirect
331. #124	C₂³×C₅	semidirect
332. #123	C₂³×C₅	semidirect
333. #123	C₂³×C₅	semidirect
334. #123	C₂³×C₅	semidirect
335. C₂²⋊Q₈	C₂³×C₅	semidirect
336. C₂²⋊Q₈	C₂³×C₅	semidirect
337. C₂²⋊Q₈	C₂³×C₅	semidirect
338. #121	C₂³×C₅	semidirect
339. #121	C₂³×C₅	semidirect
340. #121	C₂³×C₅	semidirect
342. #120	C₂³×C₅	semidirect
343. #120	C₂³×C₅	semidirect
344. #120	C₂³×C₅	semidirect
345. C₄×D₄	C₂³×C₅	semidirect
346. C₄×D₄	C₂³×C₅	semidirect
347. C₄×D₄	C₂³×C₅	semidirect
348. #117	C₂³×C₅	semidirect
349. #117	C₂³×C₅	semidirect
350. C₂×C₄⋊C₄	C₂³×C₅	semidirect
351. C₂×C₄⋊C₄	C₂³×C₅	semidirect
352. C₂×C₄⋊C₄	C₂³×C₅	semidirect
353. C₂×C₄⋊C₄	C₂³×C₅	semidirect
364. C₂×C₂²⋊C₄	C₂³×C₅	semidirect
365. C₂×C₂²⋊C₄	C₂³×C₅	semidirect
366. C₂×C₂²⋊C₄	C₂³×C₅	semidirect
367. C₂×C₂²⋊C₄	C₂³×C₅	semidirect
368. C₂×C₂²⋊C₄	C₂³×C₅	semidirect
369. C₂×C₂²⋊C₄	C₂³×C₅	semidirect
370. C₂×C₄²	C₂³×C₅	semidirect
412. C₂⁴	C₅×#41	semidirect
425. C₂×Q₈	C₂⁴×C₅	semidirect
437. C₂×D₄	C₂⁴×C₅	semidirect
456. C₂²×C₄	C₂⁴×C₅	semidirect
457. C₄⋊C₄	C₂⁴×C₅	semidirect
458. C₄⋊C₄	C₂⁴×C₅	semidirect
459. C₄⋊C₄	C₂⁴×C₅	semidirect
460. C₄⋊C₄	C₂⁴×C₅	semidirect
468. C₂²⋊C₄	C₂⁴×C₅	semidirect
469. C₂²⋊C₄	C₂⁴×C₅	semidirect
470. C₄²	C₂⁴×C₅	semidirect
476. C₂×C₅	#3490	direct (N × H)
505. C₂³	C₂×C₅×#41	semidirect
534. C₅	C₂×#3490	direct (N × H)
568. C₂	C₅×#3490	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×#3490	2
C₂×C₅×#551	2
C₂×C₅×#546	2
C₂×C₅×#543	2
C₂×C₅×#538	2
C₂×C₅×#534	2
C₂×C₅×#525	2
C₂²×C₅×#120	2
C₂×C₅×#518	2
C₂³×C₅×C₂²⋊C₄	2
C₂×#3490	5

Subgroups — C2×C5×#3490 #11985486

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#3490 #11985486