Subgroups — C₂×C₅×#4880 #14413295

Order 1920.

1024 conjugacy classes of subgroups.

The subgroup lattice has 324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×D₃×C₈	C₂	1	1	yes	maximal, characteristic
2	C₂×C₅×#892	C₂	1	2	yes	maximal
3	C₂×C₃×C₅×#107	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₅×#818	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₅×#808	C₂	1	2	yes	maximal, complemented
6	C₅×#4880	C₂	1	8	yes	maximal, direct product factor
7	C₂×C₅×#427	—	3	1	no	maximal, Hall
8	C₂²×C₄×C₅×D₃	C₂²	1	1	yes	characteristic
9	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
10	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	—
11	C₂×C₅×(C₂×D₃)⋊C₄	—	2	2	no	—
12	C₂×C₅×C₄⋊Dic₃	C₂²	1	2	yes	—
13	C₂×C₄×C₅×Dic₃	—	2	2	no	—
14	C₂²×C₅×C₃⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₅×D₃×C₈	C₄	1	8	yes	complemented
16	C₂×C₅×D₃×C₈	C₂²	1	4	yes	—
17	C₅×#892	—	2	4	no	—
18	C₅×#892	C₂²	1	8	yes	—
19	C₃×C₅×#107	C₂²	1	4	yes	complemented
20	C₅×#818	C₂²	1	4	yes	complemented
21	C₅×#808	C₂²	1	8	yes	complemented
22	C₂×#4880	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
23	C₂³×C₅×C₈	—	3	1	no	—
24	C₂×C₅×#117	—	3	2	no	—
25	C₅×#427	—	3	8	no	—
26	C₂×C₅×#107	—	3	1	no	—
27	C₂×C₅×#107	D₃	1	1	yes	characteristic, complemented
28	C₂×C₅×#106	—	3	2	no	—
29	C₂³×C₅×D₃	D₄	1	1	yes	characteristic
30	C₂²×C₃×C₄×C₅	—	2	2	no	—
31	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
32	C₂²×C₅×Dic₃	—	2	2	no	—
33	C₂²×C₅×Dic₃	D₄	1	1	yes	characteristic
34	C₂×C₄×C₅×D₃	C₂×C₄	1	4	yes	—
35	C₂×C₄×C₅×D₃	D₄	1	2	yes	—
36	C₂×C₄×C₅×D₃	Q₈	1	4	yes	—
37	C₂×C₄×C₅×D₃	C₂³	1	2	yes	—
38	C₂×C₃×C₅×C₈	C₂×C₄	1	4	yes	—
39	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
40	C₃×C₅×C₄⋊C₄	—	2	2	no	—
41	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
42	C₅×(C₂×D₃)⋊C₄	—	2	8	no	—
43	C₅×C₄⋊Dic₃	—	2	2	no	—
44	C₅×C₄⋊Dic₃	C₂³	1	4	yes	—
45	C₄×C₅×Dic₃	—	2	8	no	—
46	C₂×C₅×C₃⋊C₈	C₂×C₄	1	4	yes	—
47	C₂×C₅×C₃⋊C₈	C₂³	1	2	yes	—
48	C₅×D₃×C₈	C₂×C₄	1	16	yes	complemented
49	C₂²×D₃×C₈	C₂×C₅	1	1	yes	characteristic
50	C₂×#892	C₂×C₅	1	2	yes	—
51	C₂×C₃×#107	C₂×C₅	1	1	yes	characteristic, complemented
52	C₂×#818	C₂×C₅	1	1	yes	characteristic, complemented
53	C₂×#808	C₂×C₅	1	2	yes	complemented
54	#4880	C₂×C₅	1	8	yes	direct product factor
55	C₂³×C₄×C₅	—	3	1	no	—
56	C₂²×C₅×C₈	—	3	1	no	—
57	C₂²×C₅×C₈	—	3	8	no	—
58	C₂²×C₅×C₈	—	3	4	no	—
59	C₂²×C₅×C₈	C₂×D₃	1	1	yes	characteristic
60	C₅×#117	—	3	8	no	—
61	C₅×#117	—	6	4	no	—
62	C₂×C₅×C₄⋊C₄	—	3	2	no	—
63	C₂×C₅×C₄⋊C₄	C₂×D₃	1	2	yes	—
64	C₂×C₅×C₂²⋊C₄	—	6	2	no	—
65	C₂×C₄²×C₅	—	6	2	no	—
66	C₅×#107	—	3	4	no	—
67	C₅×#107	C₂×D₃	1	4	yes	complemented
68	C₅×#106	—	3	8	no	—
69	C₂×#427	—	3	1	no	Sylow
70	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₅×D₃	—	2	2	no	—
72	C₂²×C₅×D₃	—	2	2	no	—
73	C₂²×C₅×D₃	C₄⋊C₄	1	4	yes	—
74	C₂²×C₅×D₃	C₂×D₄	1	2	yes	—
75	C₂×C₃×C₄×C₅	—	2	4	no	—
76	C₂×C₃×C₄×C₅	—	4	4	no	—
77	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
78	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	C₂×Q₈	1	2	yes	—
80	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
81	C₂×C₅×Dic₃	—	2	4	no	—
82	C₂×C₅×Dic₃	—	4	4	no	—
83	C₂×C₅×Dic₃	C₄⋊C₄	1	4	yes	—
84	C₂×C₅×Dic₃	C₂×D₄	1	2	yes	—
85	C₄×C₅×D₃	C₄⋊C₄	1	8	yes	—
86	C₄×C₅×D₃	C₂²×C₄	1	4	yes	—
87	C₄×C₅×D₃	C₂×Q₈	1	4	yes	—
88	C₃×C₅×C₈	C₂²×C₄	1	4	yes	—
89	C₅×C₃⋊C₈	C₂²×C₄	1	4	yes	—
90	C₂²×C₄×D₃	C₂²×C₅	1	1	yes	characteristic
91	C₂²×C₃×C₈	C₂²×C₅	1	1	yes	characteristic
92	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
93	C₂×(C₂×D₃)⋊C₄	—	2	2	no	—
94	C₂×C₄⋊Dic₃	C₂²×C₅	1	2	yes	—
95	C₂×C₄×Dic₃	—	2	2	no	—
96	C₂²×C₃⋊C₈	C₂²×C₅	1	1	yes	characteristic
97	C₂×D₃×C₈	C₄×C₅	1	8	yes	complemented
98	C₂×D₃×C₈	C₂²×C₅	1	4	yes	—
99	#892	—	2	4	no	—
100	#892	C₂²×C₅	1	8	yes	—
101	C₃×#107	C₂²×C₅	1	4	yes	complemented
102	#818	C₂²×C₅	1	4	yes	complemented
103	#808	C₂²×C₅	1	8	yes	complemented
104	C₂⁴×C₅	—	3	1	no	—
105	C₂²×C₄×C₅	—	2	2	no	—
106	C₂²×C₄×C₅	—	3	1	no	—
107	C₂²×C₄×C₅	—	3	4	no	—
108	C₂²×C₄×C₅	—	3	2	no	—
109	C₂²×C₄×C₅	—	3	4	no	—
110	C₂²×C₄×C₅	—	3	2	no	—
111	C₂²×C₄×C₅	—	6	2	no	—
112	C₂²×C₄×C₅	C₂²×D₃	1	1	yes	characteristic
113	C₂×C₅×C₈	—	3	4	no	—
114	C₂×C₅×C₈	—	3	2	no	—
115	C₂×C₅×C₈	—	3	16	no	—
116	C₂×C₅×C₈	C₄×D₃	1	4	yes	—
117	C₂×C₅×C₈	C₂²×D₃	1	2	yes	—
118	C₅×C₄⋊C₄	—	2	2	no	—
119	C₅×C₄⋊C₄	—	3	4	no	—
120	C₅×C₄⋊C₄	—	6	2	no	—
121	C₅×C₄⋊C₄	C₂²×D₃	1	4	yes	—
122	C₅×C₂²⋊C₄	—	6	8	no	—
123	C₄²×C₅	—	6	8	no	—
124	C₂³×C₈	—	3	1	no	—
125	C₂×#117	—	3	2	no	—
126	#427	—	3	8	no	—
127	C₂×#107	—	3	1	no	—
128	C₂×#107	C₅×D₃	1	1	yes	characteristic, complemented
129	C₂×#106	—	3	2	no	—
130	C₂²×C₃×C₅	C₂×C₄⋊C₄	1	2	yes	—
131	C₂²×C₃×C₅	#135	1	2	yes	—
132	C₂²×C₃×C₅	#135	1	2	yes	—
133	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
134	C₂×C₅×D₃	—	2	2	no	—
135	C₂×C₅×D₃	—	2	2	no	—
136	C₂×C₅×D₃	—	2	8	no	—
137	C₂×C₅×D₃	C₂×C₄⋊C₄	1	4	yes	—
138	C₃×C₄×C₅	—	4	4	no	—
139	C₃×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
140	C₃×C₄×C₅	C₂³×C₄	1	1	yes	characteristic
141	C₃×C₄×C₅	C₂²×Q₈	1	1	yes	characteristic
142	C₅×Dic₃	—	4	4	no	—
143	C₅×Dic₃	C₂×C₄⋊C₄	1	4	yes	—
144	C₂³×D₃	C₅×D₄	1	1	yes	characteristic
145	C₂²×C₃×C₄	—	2	2	no	—
146	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
147	C₂²×Dic₃	—	2	2	no	—
148	C₂²×Dic₃	C₅×D₄	1	1	yes	characteristic
149	C₂×C₄×D₃	C₂×C₄×C₅	1	4	yes	—
150	C₂×C₄×D₃	C₅×D₄	1	2	yes	—
151	C₂×C₄×D₃	C₅×Q₈	1	4	yes	—
152	C₂×C₄×D₃	C₂³×C₅	1	2	yes	—
153	C₂×C₃×C₈	C₂×C₄×C₅	1	4	yes	—
154	C₂×C₃×C₈	C₂³×C₅	1	2	yes	—
155	C₃×C₄⋊C₄	—	2	2	no	—
156	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
157	(C₂×D₃)⋊C₄	—	2	8	no	—
158	C₄⋊Dic₃	—	2	2	no	—
159	C₄⋊Dic₃	C₂³×C₅	1	4	yes	—
160	C₄×Dic₃	—	2	8	no	—
161	C₂×C₃⋊C₈	C₂×C₄×C₅	1	4	yes	—
162	C₂×C₃⋊C₈	C₂³×C₅	1	2	yes	—
163	D₃×C₈	C₂×C₄×C₅	1	16	yes	complemented
164	C₂³×C₅	—	3	4	no	—
165	C₂³×C₅	—	3	2	no	—
166	C₂³×C₅	—	6	2	no	—
167	C₂³×C₅	—	6	2	no	—
168	C₂³×C₅	D₃×D₄	1	1	yes	characteristic
169	C₂×C₄×C₅	—	2	4	no	—
170	C₂×C₄×C₅	—	3	4	no	—
171	C₂×C₄×C₅	—	3	2	no	—
172	C₂×C₄×C₅	—	3	8	no	—
173	C₂×C₄×C₅	—	3	4	no	—
174	C₂×C₄×C₅	—	3	4	no	—
175	C₂×C₄×C₅	—	4	4	no	—
176	C₂×C₄×C₅	—	6	4	no	—
177	C₂×C₄×C₅	—	12	4	no	—
178	C₂×C₄×C₅	C₂×C₄×D₃	1	2	yes	—
179	C₂×C₄×C₅	D₃×D₄	1	1	yes	characteristic
180	C₂×C₄×C₅	D₃×Q₈	1	2	yes	—
181	C₂×C₄×C₅	C₂³×D₃	1	1	yes	characteristic
182	C₅×C₈	—	3	4	no	—
183	C₅×C₈	C₂×C₄×D₃	1	4	yes	—
184	C₂³×C₄	—	3	1	no	—
185	C₂²×C₈	—	3	1	no	—
186	C₂²×C₈	—	3	8	no	—
187	C₂²×C₈	—	3	4	no	—
188	C₂²×C₈	C₂×C₅×D₃	1	1	yes	characteristic
189	#117	—	3	8	no	—
190	#117	—	6	4	no	—
191	C₂×C₄⋊C₄	—	3	2	no	—
192	C₂×C₄⋊C₄	C₂×C₅×D₃	1	2	yes	—
193	C₂×C₂²⋊C₄	—	6	2	no	—
194	C₂×C₄²	—	6	2	no	—
195	#107	—	3	4	no	—
196	#107	C₂×C₅×D₃	1	4	yes	complemented
197	#106	—	3	8	no	—
198	C₂×C₃×C₅	#427	1	4	yes	complemented
199	C₂×C₃×C₅	C₂²×C₄⋊C₄	1	1	yes	characteristic
200	C₂×C₃×C₅	C₂×#135	1	1	yes	characteristic
201	C₂×C₃×C₅	C₂×#135	1	1	yes	characteristic
202	C₅×D₃	—	2	4	no	—
203	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
204	C₂²×D₃	—	2	2	no	—
205	C₂²×D₃	—	2	2	no	—
206	C₂²×D₃	C₅×C₄⋊C₄	1	4	yes	—
207	C₂²×D₃	C₂×C₅×D₄	1	2	yes	—
208	C₂×C₃×C₄	—	2	4	no	—
209	C₂×C₃×C₄	—	4	4	no	—
210	C₂×C₃×C₄	C₂²×C₄×C₅	1	2	yes	—
211	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
212	C₂×C₃×C₄	C₂×C₅×Q₈	1	2	yes	—
213	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
214	C₂×Dic₃	—	2	4	no	—
215	C₂×Dic₃	—	4	4	no	—
216	C₂×Dic₃	C₅×C₄⋊C₄	1	4	yes	—
217	C₂×Dic₃	C₂×C₅×D₄	1	2	yes	—
218	C₄×D₃	C₅×C₄⋊C₄	1	8	yes	—
219	C₄×D₃	C₂²×C₄×C₅	1	4	yes	—
220	C₄×D₃	C₂×C₅×Q₈	1	4	yes	—
221	C₃×C₈	C₂²×C₄×C₅	1	4	yes	—
222	C₃⋊C₈	C₂²×C₄×C₅	1	4	yes	—
223	C₂²×C₅	—	3	4	no	—
224	C₂²×C₅	—	6	8	no	—
225	C₂²×C₅	—	6	2	no	—
226	C₂²×C₅	—	6	2	no	—
227	C₂²×C₅	D₃×C₄⋊C₄	1	2	yes	—
228	C₂²×C₅	#912	1	2	yes	—
229	C₂²×C₅	#919	1	2	yes	—
230	C₂²×C₅	C₂×D₃×D₄	1	1	yes	characteristic
231	C₄×C₅	—	3	4	no	—
232	C₄×C₅	—	4	4	no	—
233	C₄×C₅	—	12	4	no	—
234	C₄×C₅	D₃×C₄⋊C₄	1	2	yes	—
235	C₄×C₅	C₂²×C₄×D₃	1	1	yes	characteristic
236	C₄×C₅	C₂×D₃×Q₈	1	1	yes	characteristic
237	C₂⁴	—	3	1	no	—
238	C₂²×C₄	—	2	2	no	—
239	C₂²×C₄	—	3	1	no	—
240	C₂²×C₄	—	3	4	no	—
241	C₂²×C₄	—	3	2	no	—
242	C₂²×C₄	—	3	4	no	—
243	C₂²×C₄	—	3	2	no	—
244	C₂²×C₄	—	6	2	no	—
245	C₂²×C₄	C₂²×C₅×D₃	1	1	yes	characteristic
246	C₂×C₈	—	3	4	no	—
247	C₂×C₈	—	3	2	no	—
248	C₂×C₈	—	3	16	no	—
249	C₂×C₈	C₄×C₅×D₃	1	4	yes	—
250	C₂×C₈	C₂²×C₅×D₃	1	2	yes	—
251	C₄⋊C₄	—	2	2	no	—
252	C₄⋊C₄	—	3	4	no	—
253	C₄⋊C₄	—	6	2	no	—
254	C₄⋊C₄	C₂²×C₅×D₃	1	4	yes	—
255	C₂²⋊C₄	—	6	8	no	—
256	C₄²	—	6	8	no	—
257	C₃×C₅	C₂×#427	1	1	yes	characteristic, complemented, Hall
258	C₂²×C₃	C₂×C₅×C₄⋊C₄	1	2	yes	—
259	C₂²×C₃	C₅×#135	1	2	yes	—
260	C₂²×C₃	C₅×#135	1	2	yes	—
261	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
262	C₂×D₃	—	2	8	no	—
263	C₂×D₃	—	2	2	no	—
264	C₂×D₃	—	2	2	no	—
265	C₂×D₃	C₂×C₅×C₄⋊C₄	1	4	yes	—
266	C₃×C₄	—	4	4	no	—
267	C₃×C₄	C₂×C₅×C₄⋊C₄	1	2	yes	—
268	C₃×C₄	C₂³×C₄×C₅	1	1	yes	characteristic
269	C₃×C₄	C₂²×C₅×Q₈	1	1	yes	characteristic
270	Dic₃	—	4	4	no	—
271	Dic₃	C₂×C₅×C₄⋊C₄	1	4	yes	—
272	C₂×C₅	—	6	4	no	—
273	C₂×C₅	#4880	1	4	yes	direct product factor
274	C₂×C₅	C₂×D₃×C₄⋊C₄	1	1	yes	characteristic
275	C₂×C₅	C₂×#912	1	1	yes	characteristic
276	C₂×C₅	C₂×#919	1	1	yes	characteristic
277	C₂³	—	3	4	no	—
278	C₂³	—	3	2	no	—
279	C₂³	—	6	2	no	—
280	C₂³	—	6	2	no	—
281	C₂³	C₅×D₃×D₄	1	1	yes	characteristic
282	C₂×C₄	—	2	4	no	—
283	C₂×C₄	—	3	4	no	—
284	C₂×C₄	—	3	2	no	—
285	C₂×C₄	—	3	8	no	—
286	C₂×C₄	—	3	4	no	—
287	C₂×C₄	—	3	4	no	—
288	C₂×C₄	—	4	4	no	—
289	C₂×C₄	—	6	4	no	—
290	C₂×C₄	—	12	4	no	—
291	C₂×C₄	C₂×C₄×C₅×D₃	1	2	yes	—
292	C₂×C₄	C₅×D₃×D₄	1	1	yes	characteristic
293	C₂×C₄	C₅×D₃×Q₈	1	2	yes	—
294	C₂×C₄	C₂³×C₅×D₃	1	1	yes	characteristic
295	C₈	—	3	4	no	—
296	C₈	C₂×C₄×C₅×D₃	1	4	yes	—
297	C₂×C₃	C₅×#427	1	4	yes	complemented
298	C₂×C₃	C₂²×C₅×C₄⋊C₄	1	1	yes	characteristic
299	C₂×C₃	C₂×C₅×#135	1	1	yes	characteristic
300	C₂×C₃	C₂×C₅×#135	1	1	yes	characteristic
301	D₃	—	2	4	no	—
302	C₅	C₂×#4880	1	1	yes	characteristic, direct product factor, Sylow
303	C₂²	—	3	4	no	—
304	C₂²	—	6	2	no	—
305	C₂²	—	6	2	no	—
306	C₂²	—	6	8	no	—
307	C₂²	C₅×D₃×C₄⋊C₄	1	2	yes	—
308	C₂²	C₅×#912	1	2	yes	—
309	C₂²	C₅×#919	1	2	yes	—
310	C₂²	C₂×C₅×D₃×D₄	1	1	yes	characteristic
311	C₄	—	3	4	no	—
312	C₄	—	4	4	no	—
313	C₄	—	12	4	no	—
314	C₄	C₅×D₃×C₄⋊C₄	1	2	yes	—
315	C₄	C₂²×C₄×C₅×D₃	1	1	yes	characteristic
316	C₄	C₂×C₅×D₃×Q₈	1	1	yes	characteristic
317	C₃	C₂×C₅×#427	1	1	yes	characteristic, complemented, Sylow
318	C₂	—	6	4	no	—
319	C₂	C₅×#4880	1	4	yes	direct product factor
320	C₂	C₂×C₅×D₃×C₄⋊C₄	1	1	yes	characteristic
321	C₂	C₂×C₅×#912	1	1	yes	characteristic
322	C₂	C₂×C₅×#919	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₅	D₃×D₄
commutator	C₃×C₄	C₂³×C₄×C₅
Frattini	C₂×C₄	C₂³×C₅×D₃
Fitting	C₂×C₃×C₅×#107	C₂
socle	C₂³×C₃×C₅	C₂×D₄
prime radical	C₂³×C₅×D₃	D₄
cosocle	C₂×C₃×C₄	C₂⁴×C₅
hypercenter	C₂×C₅×#107	D₃
hypocenter	C₃	C₂×C₅×#427
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₂²×C₄×C₅ ◁ C₂×C₅×#107

Complements

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

N	H ≅ G/N	type
3. C₂×C₃×C₅×#107	C₂	semidirect
4. C₂×C₅×#818	C₂	semidirect
5. C₂×C₅×#808	C₂	semidirect
6. C₅×#4880	C₂	direct (N × H)
15. C₂×C₅×D₃×C₈	C₄	semidirect
19. C₃×C₅×#107	C₂²	semidirect
20. C₅×#818	C₂²	semidirect
21. C₅×#808	C₂²	semidirect
22. C₂×#4880	C₅	direct (N × H)
27. C₂×C₅×#107	D₃	semidirect
48. C₅×D₃×C₈	C₂×C₄	semidirect
51. C₂×C₃×#107	C₂×C₅	semidirect
52. C₂×#818	C₂×C₅	semidirect
53. C₂×#808	C₂×C₅	semidirect
54. #4880	C₂×C₅	direct (N × H)
67. C₅×#107	C₂×D₃	semidirect
97. C₂×D₃×C₈	C₄×C₅	semidirect
101. C₃×#107	C₂²×C₅	semidirect
102. #818	C₂²×C₅	semidirect
103. #808	C₂²×C₅	semidirect
128. C₂×#107	C₅×D₃	semidirect
163. D₃×C₈	C₂×C₄×C₅	semidirect
196. #107	C₂×C₅×D₃	semidirect
198. C₂×C₃×C₅	#427	semidirect
257. C₃×C₅	C₂×#427	semidirect
273. C₂×C₅	#4880	direct (N × H)
297. C₂×C₃	C₅×#427	semidirect
302. C₅	C₂×#4880	direct (N × H)
317. C₃	C₂×C₅×#427	semidirect
319. C₂	C₅×#4880	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×D₃×C₈	2
C₂×C₅×#892	2
C₂×C₃×C₅×#107	2
C₂×C₅×#818	2
C₂×C₅×#808	2
C₅×#4880	2
C₂×C₅×#427	3
C₂×#4880	5

Subgroups — C2×C5×#4880 #14413295

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×#4880 #14413295