Subgroups — C₂×C₅×#4721 #14431464

Order 1920.

920 conjugacy classes of subgroups.

The subgroup lattice has 352 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×C₄⋊Dic₃	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#924	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃×C₅×C₂²⋊C₈	C₂	1	1	yes	maximal, characteristic
4	C₂×C₅×#817	C₂	1	2	yes	maximal, complemented
5	C₂×C₅×#816	C₂	1	2	yes	maximal, complemented
6	C₅×#4721	C₂	1	8	yes	maximal, direct product factor
7	C₂×C₅×#483	—	3	1	no	maximal, Hall
8	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
9	C₂³×C₅×Dic₃	—	2	1	no	—
10	C₂²×C₅×Dic₆	C₂²	1	1	yes	characteristic
11	C₂²×C₃×C₅×C₈	C₂²	1	2	yes	—
12	C₂×C₅×#217	—	2	1	no	—
13	C₂×C₅×C₄⋊Dic₃	—	2	1	no	—
14	C₂×C₅×C₄⋊Dic₃	—	2	2	no	—
15	C₂×C₅×C₄⋊Dic₃	C₂²	1	4	yes	—
16	C₂×C₅×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
17	C₂×C₅×C₄⋊Dic₃	C₂²	1	2	yes	—
18	C₅×#924	—	2	2	no	—
19	C₅×#924	C₂²	1	4	yes	—
20	C₂×C₅×Dic₃⋊C₄	—	2	1	no	—
21	C₃×C₅×C₂²⋊C₈	C₂²	1	4	yes	—
22	C₅×#817	C₂²	1	8	yes	complemented
23	C₅×#816	C₂²	1	8	yes	complemented
24	C₂×#4721	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂×C₅×C₂²⋊Q₈	—	3	1	no	—
26	C₂²×C₅×C₄⋊C₄	—	3	1	no	—
27	C₅×#483	—	3	8	no	—
28	C₂×C₅×#106	—	3	2	no	—
29	C₂×C₅×#103	—	3	2	no	—
30	C₂×C₅×C₂²⋊C₈	D₃	1	1	yes	characteristic
31	C₂⁴×C₃×C₅	D₄	1	1	yes	characteristic
32	C₂²×C₃×C₄×C₅	—	2	4	no	—
33	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
34	C₂²×C₃×C₄×C₅	D₄	1	2	yes	—
35	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
36	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
37	C₂²×C₅×Dic₃	—	2	1	no	—
38	C₂²×C₅×Dic₃	—	2	1	no	—
39	C₂²×C₅×Dic₃	—	2	4	no	—
40	C₂²×C₅×Dic₃	—	2	2	no	—
41	C₂²×C₅×Dic₃	—	4	4	no	—
42	C₂×C₅×Dic₆	—	2	4	no	—
43	C₂×C₅×Dic₆	—	2	1	no	—
44	C₂×C₅×Dic₆	C₂³	1	2	yes	—
45	C₂×C₃×C₅×C₈	—	2	4	no	—
46	C₂×C₃×C₅×C₈	C₂³	1	4	yes	—
47	C₅×#217	—	2	4	no	—
48	C₅×C₄⋊Dic₃	—	2	1	no	—
49	C₅×C₄⋊Dic₃	—	2	4	no	—
50	C₅×C₄⋊Dic₃	—	2	2	no	—
51	C₅×C₄⋊Dic₃	C₂³	1	2	yes	—
52	C₅×C₄⋊Dic₃	C₂³	1	4	yes	—
53	C₅×Dic₃⋊C₄	—	2	4	no	—
54	C₂²×C₄⋊Dic₃	C₂×C₅	1	1	yes	characteristic
55	C₂×#924	C₂×C₅	1	1	yes	characteristic
56	C₂×C₃×C₂²⋊C₈	C₂×C₅	1	1	yes	characteristic
57	C₂×#817	C₂×C₅	1	2	yes	complemented
58	C₂×#816	C₂×C₅	1	2	yes	complemented
59	#4721	C₂×C₅	1	8	yes	direct product factor
60	C₂²×C₅×Q₈	—	3	1	no	—
61	C₂³×C₄×C₅	—	6	1	no	—
62	C₂³×C₄×C₅	C₂×D₃	1	1	yes	characteristic
63	C₂²×C₅×C₈	C₂×D₃	1	2	yes	—
64	C₅×C₂²⋊Q₈	—	3	4	no	—
65	C₅×C₂²⋊Q₈	—	6	2	no	—
66	C₂×C₅×C₄⋊C₄	—	3	2	no	—
67	C₂×C₅×C₄⋊C₄	—	3	1	no	—
68	C₂×C₅×C₄⋊C₄	—	3	4	no	—
69	C₂×C₅×C₄⋊C₄	—	6	1	no	—
70	C₂×C₅×C₄⋊C₄	—	6	2	no	—
71	C₂×C₅×C₄⋊C₄	—	6	1	no	—
72	C₂×C₅×C₂²⋊C₄	—	6	1	no	—
73	C₅×#106	—	3	8	no	—
74	C₅×#103	—	3	8	no	—
75	C₅×C₂²⋊C₈	C₂×D₃	1	4	yes	—
76	C₂×#483	—	3	1	no	Sylow
77	C₂³×C₃×C₅	—	2	2	no	—
78	C₂³×C₃×C₅	—	2	2	no	—
79	C₂³×C₃×C₅	SD₁₆	1	4	yes	—
80	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
81	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
82	C₂×C₃×C₄×C₅	—	2	2	no	—
83	C₂×C₃×C₄×C₅	—	2	4	no	—
84	C₂×C₃×C₄×C₅	—	2	4	no	—
85	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
86	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
87	C₂×C₃×C₄×C₅	#41	1	4	yes	—
88	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
89	C₂×C₅×Dic₃	—	2	2	no	—
90	C₂×C₅×Dic₃	—	2	2	no	—
91	C₂×C₅×Dic₃	—	2	4	no	—
92	C₂×C₅×Dic₃	—	4	2	no	—
93	C₂×C₅×Dic₃	—	4	8	no	—
94	C₂×C₅×Dic₃	—	4	4	no	—
95	C₂×C₅×Dic₃	—	4	2	no	—
96	C₅×Dic₆	—	2	4	no	—
97	C₅×Dic₆	—	4	2	no	—
98	C₃×C₅×C₈	—	2	4	no	—
99	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic
100	C₂³×Dic₃	—	2	1	no	—
101	C₂²×Dic₆	C₂²×C₅	1	1	yes	characteristic
102	C₂²×C₃×C₈	C₂²×C₅	1	2	yes	—
103	C₂×#217	—	2	1	no	—
104	C₂×C₄⋊Dic₃	—	2	1	no	—
105	C₂×C₄⋊Dic₃	—	2	2	no	—
106	C₂×C₄⋊Dic₃	C₂²×C₅	1	4	yes	—
107	C₂×C₄⋊Dic₃	C₂²×C₅	1	1	yes	characteristic
108	C₂×C₄⋊Dic₃	C₂²×C₅	1	2	yes	—
109	#924	—	2	2	no	—
110	#924	C₂²×C₅	1	4	yes	—
111	C₂×Dic₃⋊C₄	—	2	1	no	—
112	C₃×C₂²⋊C₈	C₂²×C₅	1	4	yes	—
113	#817	C₂²×C₅	1	8	yes	complemented
114	#816	C₂²×C₅	1	8	yes	complemented
115	C₂⁴×C₅	D₁₂	1	1	yes	characteristic
116	C₂×C₅×Q₈	—	3	2	no	—
117	C₂×C₅×Q₈	—	6	1	no	—
118	C₂×C₅×Q₈	—	6	4	no	—
119	C₂²×C₄×C₅	—	2	4	no	—
120	C₂²×C₄×C₅	—	6	4	no	—
121	C₂²×C₄×C₅	—	6	1	no	—
122	C₂²×C₄×C₅	—	6	1	no	—
123	C₂²×C₄×C₅	—	6	2	no	—
124	C₂²×C₄×C₅	—	12	4	no	—
125	C₂²×C₄×C₅	D₁₂	1	2	yes	—
126	C₂²×C₄×C₅	D₁₂	1	1	yes	characteristic
127	C₂²×C₄×C₅	C₂²×D₃	1	2	yes	—
128	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
129	C₂×C₅×C₈	—	2	4	no	—
130	C₂×C₅×C₈	C₂²×D₃	1	4	yes	—
131	C₅×C₄⋊C₄	—	3	4	no	—
132	C₅×C₄⋊C₄	—	3	2	no	—
133	C₅×C₄⋊C₄	—	6	4	no	—
134	C₅×C₄⋊C₄	—	6	2	no	—
135	C₅×C₄⋊C₄	—	6	1	no	—
136	C₅×C₄⋊C₄	—	6	4	no	—
137	C₅×C₂²⋊C₄	—	6	4	no	—
138	C₂×C₂²⋊Q₈	—	3	1	no	—
139	C₂²×C₄⋊C₄	—	3	1	no	—
140	#483	—	3	8	no	—
141	C₂×#106	—	3	2	no	—
142	C₂×#103	—	3	2	no	—
143	C₂×C₂²⋊C₈	C₅×D₃	1	1	yes	characteristic
144	C₂²×C₃×C₅	—	2	2	no	—
145	C₂²×C₃×C₅	—	2	2	no	—
146	C₂²×C₃×C₅	—	2	8	no	—
147	C₂²×C₃×C₅	#123	1	2	yes	—
148	C₂²×C₃×C₅	C₂×SD₁₆	1	4	yes	—
149	C₂²×C₃×C₅	C₂×SD₁₆	1	2	yes	—
150	C₂²×C₃×C₅	#137	1	2	yes	—
151	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
152	C₃×C₄×C₅	—	2	2	no	—
153	C₃×C₄×C₅	#123	1	2	yes	—
154	C₃×C₄×C₅	C₂×#41	1	2	yes	—
155	C₅×Dic₃	—	4	2	no	—
156	C₅×Dic₃	—	4	4	no	—
157	C₅×Dic₃	—	4	2	no	—
158	C₂⁴×C₃	C₅×D₄	1	1	yes	characteristic
159	C₂²×C₃×C₄	—	2	4	no	—
160	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
161	C₂²×C₃×C₄	C₅×D₄	1	2	yes	—
162	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
163	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
164	C₂²×Dic₃	—	2	1	no	—
165	C₂²×Dic₃	—	2	1	no	—
166	C₂²×Dic₃	—	2	4	no	—
167	C₂²×Dic₃	—	2	2	no	—
168	C₂²×Dic₃	—	4	4	no	—
169	C₂×Dic₆	—	2	4	no	—
170	C₂×Dic₆	—	2	1	no	—
171	C₂×Dic₆	C₂³×C₅	1	2	yes	—
172	C₂×C₃×C₈	—	2	4	no	—
173	C₂×C₃×C₈	C₂³×C₅	1	4	yes	—
174	#217	—	2	4	no	—
175	C₄⋊Dic₃	—	2	1	no	—
176	C₄⋊Dic₃	—	2	4	no	—
177	C₄⋊Dic₃	—	2	2	no	—
178	C₄⋊Dic₃	C₂³×C₅	1	4	yes	—
179	C₄⋊Dic₃	C₂³×C₅	1	2	yes	—
180	Dic₃⋊C₄	—	2	4	no	—
181	C₂³×C₅	—	2	2	no	—
182	C₂³×C₅	—	2	2	no	—
183	C₂³×C₅	#204	1	4	yes	—
184	C₂³×C₅	C₂×D₁₂	1	2	yes	—
185	C₂³×C₅	C₂×D₁₂	1	1	yes	characteristic
186	C₅×Q₈	—	6	4	no	—
187	C₅×Q₈	—	12	2	no	—
188	C₂×C₄×C₅	—	2	2	no	—
189	C₂×C₄×C₅	—	2	4	no	—
190	C₂×C₄×C₅	—	2	4	no	—
191	C₂×C₄×C₅	—	6	2	no	—
192	C₂×C₄×C₅	—	6	2	no	—
193	C₂×C₄×C₅	—	6	4	no	—
194	C₂×C₄×C₅	—	12	2	no	—
195	C₂×C₄×C₅	—	12	8	no	—
196	C₂×C₄×C₅	—	12	4	no	—
197	C₂×C₄×C₅	—	12	2	no	—
198	C₂×C₄×C₅	C₂×D₁₂	1	2	yes	—
199	C₂×C₄×C₅	C₂×D₁₂	1	1	yes	characteristic
200	C₂×C₄×C₅	#237	1	4	yes	—
201	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
202	C₅×C₈	—	2	4	no	—
203	C₂²×Q₈	—	3	1	no	—
204	C₂³×C₄	—	6	1	no	—
205	C₂³×C₄	C₂×C₅×D₃	1	1	yes	characteristic
206	C₂²×C₈	C₂×C₅×D₃	1	2	yes	—
207	C₂²⋊Q₈	—	3	4	no	—
208	C₂²⋊Q₈	—	6	2	no	—
209	C₂×C₄⋊C₄	—	3	2	no	—
210	C₂×C₄⋊C₄	—	3	4	no	—
211	C₂×C₄⋊C₄	—	3	1	no	—
212	C₂×C₄⋊C₄	—	6	1	no	—
213	C₂×C₄⋊C₄	—	6	2	no	—
214	C₂×C₄⋊C₄	—	6	1	no	—
215	C₂×C₂²⋊C₄	—	6	1	no	—
216	#106	—	3	8	no	—
217	#103	—	3	8	no	—
218	C₂²⋊C₈	C₂×C₅×D₃	1	4	yes	—
219	C₂×C₃×C₅	—	2	4	no	—
220	C₂×C₃×C₅	#483	1	4	yes	complemented
221	C₂×C₃×C₅	C₂×#123	1	1	yes	characteristic
222	C₂×C₃×C₅	C₂²×SD₁₆	1	1	yes	characteristic
223	C₂×C₃×C₅	C₂×#137	1	1	yes	characteristic
224	C₂³×C₃	—	2	2	no	—
225	C₂³×C₃	—	2	2	no	—
226	C₂³×C₃	C₅×SD₁₆	1	4	yes	—
227	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
228	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
229	C₂×C₃×C₄	—	2	2	no	—
230	C₂×C₃×C₄	—	2	4	no	—
231	C₂×C₃×C₄	—	2	4	no	—
232	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
233	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
234	C₂×C₃×C₄	C₅×#41	1	4	yes	—
235	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
236	C₂×Dic₃	—	2	2	no	—
237	C₂×Dic₃	—	2	2	no	—
238	C₂×Dic₃	—	2	4	no	—
239	C₂×Dic₃	—	4	2	no	—
240	C₂×Dic₃	—	4	8	no	—
241	C₂×Dic₃	—	4	4	no	—
242	C₂×Dic₃	—	4	2	no	—
243	Dic₆	—	2	4	no	—
244	Dic₆	—	4	2	no	—
245	C₃×C₈	—	2	4	no	—
246	C₂²×C₅	—	2	8	no	—
247	C₂²×C₅	—	2	2	no	—
248	C₂²×C₅	—	2	2	no	—
249	C₂²×C₅	#886	1	2	yes	—
250	C₂²×C₅	C₂×#204	1	4	yes	—
251	C₂²×C₅	C₂×#204	1	2	yes	—
252	C₂²×C₅	#909	1	2	yes	—
253	C₂²×C₅	C₂²×D₁₂	1	1	yes	characteristic
254	C₄×C₅	—	2	2	no	—
255	C₄×C₅	—	12	4	no	—
256	C₄×C₅	—	12	2	no	—
257	C₄×C₅	—	12	2	no	—
258	C₄×C₅	#886	1	2	yes	—
259	C₄×C₅	C₂×#237	1	2	yes	—
260	C₂⁴	C₅×D₁₂	1	1	yes	characteristic
261	C₂×Q₈	—	3	2	no	—
262	C₂×Q₈	—	6	1	no	—
263	C₂×Q₈	—	6	4	no	—
264	C₂²×C₄	—	2	4	no	—
265	C₂²×C₄	—	6	1	no	—
266	C₂²×C₄	—	6	1	no	—
267	C₂²×C₄	—	6	4	no	—
268	C₂²×C₄	—	6	2	no	—
269	C₂²×C₄	—	12	4	no	—
270	C₂²×C₄	C₅×D₁₂	1	1	yes	characteristic
271	C₂²×C₄	C₅×D₁₂	1	2	yes	—
272	C₂²×C₄	C₂²×C₅×D₃	1	2	yes	—
273	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
274	C₂×C₈	—	2	4	no	—
275	C₂×C₈	C₂²×C₅×D₃	1	4	yes	—
276	C₄⋊C₄	—	3	4	no	—
277	C₄⋊C₄	—	3	2	no	—
278	C₄⋊C₄	—	6	4	no	—
279	C₄⋊C₄	—	6	2	no	—
280	C₄⋊C₄	—	6	1	no	—
281	C₄⋊C₄	—	6	4	no	—
282	C₂²⋊C₄	—	6	4	no	—
283	C₃×C₅	C₂×#483	1	1	yes	characteristic, complemented, Hall
284	C₂²×C₃	—	2	8	no	—
285	C₂²×C₃	—	2	2	no	—
286	C₂²×C₃	—	2	2	no	—
287	C₂²×C₃	C₅×#123	1	2	yes	—
288	C₂²×C₃	C₂×C₅×SD₁₆	1	4	yes	—
289	C₂²×C₃	C₂×C₅×SD₁₆	1	2	yes	—
290	C₂²×C₃	C₅×#137	1	2	yes	—
291	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
292	C₃×C₄	—	2	2	no	—
293	C₃×C₄	C₅×#123	1	2	yes	—
294	C₃×C₄	C₂×C₅×#41	1	2	yes	—
295	Dic₃	—	4	2	no	—
296	Dic₃	—	4	4	no	—
297	Dic₃	—	4	2	no	—
298	C₂×C₅	—	2	4	no	—
299	C₂×C₅	#4721	1	4	yes	direct product factor
300	C₂×C₅	C₂×#886	1	1	yes	characteristic
301	C₂×C₅	C₂²×#204	1	1	yes	characteristic
302	C₂×C₅	C₂×#909	1	1	yes	characteristic
303	C₂³	—	2	2	no	—
304	C₂³	—	2	2	no	—
305	C₂³	C₅×#204	1	4	yes	—
306	C₂³	C₂×C₅×D₁₂	1	2	yes	—
307	C₂³	C₂×C₅×D₁₂	1	1	yes	characteristic
308	Q₈	—	6	4	no	—
309	Q₈	—	12	2	no	—
310	C₂×C₄	—	2	2	no	—
311	C₂×C₄	—	2	4	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	6	2	no	—
314	C₂×C₄	—	6	2	no	—
315	C₂×C₄	—	6	4	no	—
316	C₂×C₄	—	12	2	no	—
317	C₂×C₄	—	12	8	no	—
318	C₂×C₄	—	12	4	no	—
319	C₂×C₄	—	12	2	no	—
320	C₂×C₄	C₂×C₅×D₁₂	1	2	yes	—
321	C₂×C₄	C₂×C₅×D₁₂	1	1	yes	characteristic
322	C₂×C₄	C₅×#237	1	4	yes	—
323	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
324	C₈	—	2	4	no	—
325	C₂×C₃	—	2	4	no	—
326	C₂×C₃	C₅×#483	1	4	yes	complemented
327	C₂×C₃	C₂×C₅×#123	1	1	yes	characteristic
328	C₂×C₃	C₂²×C₅×SD₁₆	1	1	yes	characteristic
329	C₂×C₃	C₂×C₅×#137	1	1	yes	characteristic
330	C₅	C₂×#4721	1	1	yes	characteristic, direct product factor, Sylow
331	C₂²	—	2	8	no	—
332	C₂²	—	2	2	no	—
333	C₂²	—	2	2	no	—
334	C₂²	C₅×#886	1	2	yes	—
335	C₂²	C₂×C₅×#204	1	4	yes	—
336	C₂²	C₂×C₅×#204	1	2	yes	—
337	C₂²	C₅×#909	1	2	yes	—
338	C₂²	C₂²×C₅×D₁₂	1	1	yes	characteristic
339	C₄	—	2	2	no	—
340	C₄	—	12	4	no	—
341	C₄	—	12	2	no	—
342	C₄	—	12	2	no	—
343	C₄	C₅×#886	1	2	yes	—
344	C₄	C₂×C₅×#237	1	2	yes	—
345	C₃	C₂×C₅×#483	1	1	yes	characteristic, complemented, Sylow
346	C₂	—	2	4	no	—
347	C₂	C₅×#4721	1	4	yes	direct product factor
348	C₂	C₂×C₅×#886	1	1	yes	characteristic
349	C₂	C₂²×C₅×#204	1	1	yes	characteristic
350	C₂	C₂×C₅×#909	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₅	C₂×D₁₂
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₅
Frattini	C₂×C₄	C₂³×C₅×D₃
Fitting	C₂×C₃×C₅×C₂²⋊C₈	C₂
socle	C₂³×C₃×C₅	C₂×D₄
prime radical	C₂⁴×C₃×C₅	D₄
hypercenter	C₂×C₅×C₂²⋊C₈	D₃
hypocenter	C₃	C₂×C₅×#483
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₂³×C₄×C₅ ◁ C₂×C₅×C₂²⋊C₈

Complements

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

N	H ≅ G/N	type
4. C₂×C₅×#817	C₂	semidirect
5. C₂×C₅×#816	C₂	semidirect
6. C₅×#4721	C₂	direct (N × H)
22. C₅×#817	C₂²	semidirect
23. C₅×#816	C₂²	semidirect
24. C₂×#4721	C₅	direct (N × H)
57. C₂×#817	C₂×C₅	semidirect
58. C₂×#816	C₂×C₅	semidirect
59. #4721	C₂×C₅	direct (N × H)
113. #817	C₂²×C₅	semidirect
114. #816	C₂²×C₅	semidirect
220. C₂×C₃×C₅	#483	semidirect
283. C₃×C₅	C₂×#483	semidirect
299. C₂×C₅	#4721	direct (N × H)
326. C₂×C₃	C₅×#483	semidirect
330. C₅	C₂×#4721	direct (N × H)
345. C₃	C₂×C₅×#483	semidirect
347. C₂	C₅×#4721	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×C₅×C₄⋊Dic₃	2
C₂×C₅×#924	2
C₂×C₃×C₅×C₂²⋊C₈	2
C₂×C₅×#817	2
C₂×C₅×#816	2
C₅×#4721	2
C₂×C₅×#483	3
C₂×#4721	5

Subgroups — C2×C5×#4721 #14431464

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#4721 #14431464