Subgroups — C₂×C₅×D₃×#127 #14479958

Order 1920.

6000 conjugacy classes of subgroups.

The subgroup lattice has 288 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₅×D₃×D₄	C₂	1	6	yes	maximal, complemented
2	C₂×C₃×C₅×#127	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#940	C₂	1	6	yes	maximal, complemented
4	C₅×D₃×#127	C₂	1	16	yes	maximal, direct product factor
5	C₂×C₅×#874	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₄²×C₅×D₃	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×C₅×#127	—	3	1	no	maximal, Hall
8	C₂⁴×C₅×D₃	C₂²	1	4	yes	—
9	C₂²×C₃×C₅×D₄	C₂²	1	6	yes	complemented
10	C₂²×C₅×#67	C₂²	1	12	yes	complemented
11	C₂×C₅×D₃×D₄	—	2	48	no	—
12	C₂×C₅×D₃×D₄	C₂²	1	48	yes	complemented
13	C₂²×C₅×D₁₂	C₂²	1	6	yes	complemented
14	C₂²×C₄×C₅×D₃	C₂²	1	3	yes	—
15	C₃×C₅×#127	C₂²	1	8	yes	complemented
16	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
17	C₅×#940	C₂²	1	48	yes	complemented
18	C₂×C₄×C₅×Dic₃	C₂²	1	3	yes	complemented
19	C₅×#874	C₂²	1	8	yes	complemented
20	C₄²×C₅×D₃	C₂²	1	8	yes	complemented
21	C₂×D₃×#127	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
22	C₂³×C₅×D₄	—	3	6	no	—
23	C₂×C₅×#127	—	3	6	no	—
24	C₂×C₅×#127	—	3	16	no	—
25	C₂×C₅×#127	—	3	1	no	—
26	C₂×C₅×#127	D₃	1	1	yes	characteristic, direct product factor
27	C₂²×C₄²×C₅	—	3	1	no	—
28	C₂⁴×C₃×C₅	C₂³	1	4	yes	—
29	C₂³×C₅×D₃	—	2	48	no	—
30	C₂³×C₅×D₃	C₂³	1	4	yes	—
31	C₂³×C₅×D₃	C₂³	1	16	yes	—
32	C₂³×C₅×D₃	C₂³	1	1	yes	characteristic
33	C₂×C₃×C₅×D₄	—	2	24	no	—
34	C₂×C₃×C₅×D₄	C₂³	1	24	yes	complemented
35	C₂²×C₃×C₄×C₅	C₂³	1	3	yes	—
36	C₂×C₅×#67	—	2	48	no	—
37	C₂×C₅×#67	C₂³	1	48	yes	complemented
38	C₂²×C₅×Dic₃	C₂³	1	3	yes	—
39	C₅×D₃×D₄	—	2	192	no	—
40	C₂×C₅×D₁₂	—	2	24	no	—
41	C₂×C₅×D₁₂	C₂³	1	24	yes	complemented
42	C₂×C₄×C₅×D₃	D₄	1	24	yes	complemented
43	C₂×C₄×C₅×D₃	C₂³	1	12	yes	—
44	C₃×C₄²×C₅	C₂³	1	4	yes	complemented
45	C₄×C₅×Dic₃	C₂³	1	12	yes	complemented
46	C₂²×D₃×D₄	C₂×C₅	1	6	yes	complemented
47	C₂×C₃×#127	C₂×C₅	1	1	yes	characteristic, complemented
48	C₂×#940	C₂×C₅	1	6	yes	complemented
49	D₃×#127	C₂×C₅	1	16	yes	direct product factor
50	C₂×#874	C₂×C₅	1	1	yes	characteristic, complemented
51	C₂×C₄²×D₃	C₂×C₅	1	1	yes	characteristic, complemented
52	C₂⁵×C₅	—	3	4	no	—
53	C₂²×C₅×D₄	—	3	12	no	—
54	C₂²×C₅×D₄	—	3	48	no	—
55	C₂²×C₅×D₄	—	3	6	no	—
56	C₂²×C₅×D₄	—	6	48	no	—
57	C₂²×C₅×D₄	C₂×D₃	1	6	yes	complemented
58	C₂³×C₄×C₅	—	3	3	no	—
59	C₅×#127	—	3	48	no	—
60	C₅×#127	—	3	8	no	—
61	C₅×#127	C₂×D₃	1	8	yes	direct product factor
62	C₂×C₄²×C₅	—	3	3	no	—
63	C₂×C₄²×C₅	—	3	8	no	—
64	C₂×C₄²×C₅	C₂×D₃	1	1	yes	characteristic, complemented
65	C₂²×#127	—	3	1	no	Sylow
66	C₂³×C₃×C₅	—	2	24	no	—
67	C₂³×C₃×C₅	C₂⁴	1	8	yes	—
68	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
69	C₂²×C₅×D₃	—	2	24	no	—
70	C₂²×C₅×D₃	—	2	96	no	—
71	C₂²×C₅×D₃	—	4	64	no	—
72	C₂²×C₅×D₃	C₂×D₄	1	12	yes	—
73	C₂²×C₅×D₃	C₂⁴	1	8	yes	—
74	C₂²×C₅×D₃	C₂⁴	1	2	yes	—
75	C₃×C₅×D₄	—	2	48	no	—
76	C₂×C₃×C₄×C₅	C₂×D₄	1	12	yes	complemented
77	C₂×C₃×C₄×C₅	C₂⁴	1	6	yes	—
78	C₅×#67	—	2	96	no	—
79	C₂×C₅×Dic₃	C₂×D₄	1	12	yes	complemented
80	C₂×C₅×Dic₃	C₂⁴	1	6	yes	—
81	C₅×D₁₂	—	2	48	no	—
82	C₄×C₅×D₃	C₂×D₄	1	48	yes	complemented
83	C₂⁴×D₃	C₂²×C₅	1	4	yes	—
84	C₂²×C₃×D₄	C₂²×C₅	1	6	yes	complemented
85	C₂²×#67	C₂²×C₅	1	12	yes	complemented
86	C₂×D₃×D₄	—	2	48	no	—
87	C₂×D₃×D₄	C₂²×C₅	1	48	yes	complemented
88	C₂²×D₁₂	C₂²×C₅	1	6	yes	complemented
89	C₂²×C₄×D₃	C₂²×C₅	1	3	yes	—
90	C₃×#127	C₂²×C₅	1	8	yes	complemented
91	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
92	#940	C₂²×C₅	1	48	yes	complemented
93	C₂×C₄×Dic₃	C₂²×C₅	1	3	yes	complemented
94	#874	C₂²×C₅	1	8	yes	complemented
95	C₄²×D₃	C₂²×C₅	1	8	yes	complemented
96	C₂⁴×C₅	—	3	1	no	—
97	C₂⁴×C₅	—	3	16	no	—
98	C₂⁴×C₅	—	3	4	no	—
99	C₂⁴×C₅	—	6	48	no	—
100	C₂⁴×C₅	C₂²×D₃	1	4	yes	—
101	C₂×C₅×D₄	—	2	24	no	—
102	C₂×C₅×D₄	—	3	48	no	—
103	C₂×C₅×D₄	—	3	24	no	—
104	C₂×C₅×D₄	—	6	192	no	—
105	C₂×C₅×D₄	—	6	48	no	—
106	C₂×C₅×D₄	—	6	24	no	—
107	C₂×C₅×D₄	C₂²×D₃	1	24	yes	complemented
108	C₂²×C₄×C₅	—	3	3	no	—
109	C₂²×C₄×C₅	—	3	24	no	—
110	C₂²×C₄×C₅	—	3	12	no	—
111	C₂²×C₄×C₅	C₂²×D₃	1	3	yes	—
112	C₄²×C₅	—	3	12	no	—
113	C₄²×C₅	C₂²×D₃	1	4	yes	complemented
114	C₂³×D₄	—	3	6	no	—
115	C₂×#127	—	3	6	no	—
116	C₂×#127	—	3	16	no	—
117	C₂×#127	—	3	1	no	—
118	C₂×#127	C₅×D₃	1	1	yes	characteristic, direct product factor
119	C₂²×C₄²	—	3	1	no	—
120	C₂²×C₃×C₅	—	2	24	no	—
121	C₂²×C₃×C₅	—	4	16	no	—
122	C₂²×C₃×C₅	C₂²×D₄	1	6	yes	—
123	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
124	C₂×C₅×D₃	—	2	24	no	—
125	C₂×C₅×D₃	—	4	16	no	—
126	C₂×C₅×D₃	—	4	64	no	—
127	C₂×C₅×D₃	#127	1	16	yes	direct product factor
128	C₂×C₅×D₃	C₂²×D₄	1	12	yes	—
129	C₃×C₄×C₅	C₂²×D₄	1	12	yes	complemented
130	C₅×Dic₃	C₂²×D₄	1	12	yes	complemented
131	C₂⁴×C₃	C₂³×C₅	1	4	yes	—
132	C₂³×D₃	—	2	48	no	—
133	C₂³×D₃	C₂³×C₅	1	4	yes	—
134	C₂³×D₃	C₂³×C₅	1	16	yes	—
135	C₂³×D₃	C₂³×C₅	1	1	yes	characteristic
136	C₂×C₃×D₄	—	2	24	no	—
137	C₂×C₃×D₄	C₂³×C₅	1	24	yes	complemented
138	C₂²×C₃×C₄	C₂³×C₅	1	3	yes	—
139	C₂×#67	—	2	48	no	—
140	C₂×#67	C₂³×C₅	1	48	yes	complemented
141	C₂²×Dic₃	C₂³×C₅	1	3	yes	—
142	D₃×D₄	—	2	192	no	—
143	C₂×D₁₂	—	2	24	no	—
144	C₂×D₁₂	C₂³×C₅	1	24	yes	complemented
145	C₂×C₄×D₃	C₅×D₄	1	24	yes	complemented
146	C₂×C₄×D₃	C₂³×C₅	1	12	yes	—
147	C₃×C₄²	C₂³×C₅	1	4	yes	complemented
148	C₄×Dic₃	C₂³×C₅	1	12	yes	complemented
149	C₂³×C₅	—	2	24	no	—
150	C₂³×C₅	—	3	12	no	—
151	C₂³×C₅	—	3	2	no	—
152	C₂³×C₅	—	3	8	no	—
153	C₂³×C₅	—	6	96	no	—
154	C₂³×C₅	—	6	24	no	—
155	C₂³×C₅	—	12	64	no	—
156	C₂³×C₅	C₂³×D₃	1	8	yes	—
157	C₂³×C₅	C₂³×D₃	1	1	yes	characteristic
158	C₅×D₄	—	2	48	no	—
159	C₅×D₄	—	6	96	no	—
160	C₅×D₄	—	6	48	no	—
161	C₂×C₄×C₅	—	3	12	no	—
162	C₂×C₄×C₅	—	3	6	no	—
163	C₂×C₄×C₅	—	3	48	no	—
164	C₂×C₄×C₅	D₃×D₄	1	12	yes	complemented
165	C₂×C₄×C₅	C₂³×D₃	1	6	yes	—
166	C₂⁵	—	3	4	no	—
167	C₂²×D₄	—	3	12	no	—
168	C₂²×D₄	—	3	48	no	—
169	C₂²×D₄	—	3	6	no	—
170	C₂²×D₄	—	6	48	no	—
171	C₂²×D₄	C₂×C₅×D₃	1	6	yes	complemented
172	C₂³×C₄	—	3	3	no	—
173	#127	—	3	48	no	—
174	#127	—	3	8	no	—
175	#127	C₂×C₅×D₃	1	8	yes	direct product factor
176	C₂×C₄²	—	3	3	no	—
177	C₂×C₄²	—	3	8	no	—
178	C₂×C₄²	C₂×C₅×D₃	1	1	yes	characteristic, complemented
179	C₂×C₃×C₅	—	4	8	no	—
180	C₂×C₃×C₅	C₂×#127	1	4	yes	complemented
181	C₂×C₃×C₅	C₂³×D₄	1	3	yes	—
182	C₅×D₃	—	4	8	no	—
183	C₅×D₃	C₂×#127	1	8	yes	direct product factor
184	C₂³×C₃	—	2	24	no	—
185	C₂³×C₃	C₂⁴×C₅	1	8	yes	—
186	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
187	C₂²×D₃	—	2	24	no	—
188	C₂²×D₃	—	2	96	no	—
189	C₂²×D₃	—	4	64	no	—
190	C₂²×D₃	C₂×C₅×D₄	1	12	yes	—
191	C₂²×D₃	C₂⁴×C₅	1	8	yes	—
192	C₂²×D₃	C₂⁴×C₅	1	2	yes	—
193	C₃×D₄	—	2	48	no	—
194	C₂×C₃×C₄	C₂×C₅×D₄	1	12	yes	complemented
195	C₂×C₃×C₄	C₂⁴×C₅	1	6	yes	—
196	#67	—	2	96	no	—
197	C₂×Dic₃	C₂×C₅×D₄	1	12	yes	complemented
198	C₂×Dic₃	C₂⁴×C₅	1	6	yes	—
199	D₁₂	—	2	48	no	—
200	C₄×D₃	C₂×C₅×D₄	1	48	yes	complemented
201	C₂²×C₅	—	2	24	no	—
202	C₂²×C₅	—	3	12	no	—
203	C₂²×C₅	—	3	16	no	—
204	C₂²×C₅	—	4	16	no	—
205	C₂²×C₅	—	6	24	no	—
206	C₂²×C₅	—	12	64	no	—
207	C₂²×C₅	—	12	16	no	—
208	C₂²×C₅	C₂×D₃×D₄	1	6	yes	—
209	C₂²×C₅	C₂⁴×D₃	1	1	yes	characteristic
210	C₄×C₅	—	3	12	no	—
211	C₄×C₅	C₂×D₃×D₄	1	12	yes	complemented
212	C₂⁴	—	3	1	no	—
213	C₂⁴	—	3	16	no	—
214	C₂⁴	—	3	4	no	—
215	C₂⁴	—	6	48	no	—
216	C₂⁴	C₂²×C₅×D₃	1	4	yes	—
217	C₂×D₄	—	2	24	no	—
218	C₂×D₄	—	3	48	no	—
219	C₂×D₄	—	3	24	no	—
220	C₂×D₄	—	6	192	no	—
221	C₂×D₄	—	6	48	no	—
222	C₂×D₄	—	6	24	no	—
223	C₂×D₄	C₂²×C₅×D₃	1	24	yes	complemented
224	C₂²×C₄	—	3	3	no	—
225	C₂²×C₄	—	3	24	no	—
226	C₂²×C₄	—	3	12	no	—
227	C₂²×C₄	C₂²×C₅×D₃	1	3	yes	—
228	C₄²	—	3	12	no	—
229	C₄²	C₂²×C₅×D₃	1	4	yes	complemented
230	C₃×C₅	C₂²×#127	1	1	yes	characteristic, complemented, Hall
231	C₂²×C₃	—	2	24	no	—
232	C₂²×C₃	—	4	16	no	—
233	C₂²×C₃	C₂²×C₅×D₄	1	6	yes	—
234	C₂²×C₃	C₂⁵×C₅	1	1	yes	characteristic
235	C₂×D₃	—	2	24	no	—
236	C₂×D₃	—	4	16	no	—
237	C₂×D₃	—	4	64	no	—
238	C₂×D₃	C₅×#127	1	16	yes	direct product factor
239	C₂×D₃	C₂²×C₅×D₄	1	12	yes	—
240	C₃×C₄	C₂²×C₅×D₄	1	12	yes	complemented
241	Dic₃	C₂²×C₅×D₄	1	12	yes	complemented
242	C₂×C₅	—	3	8	no	—
243	C₂×C₅	—	4	8	no	—
244	C₂×C₅	—	12	8	no	—
245	C₂×C₅	D₃×#127	1	4	yes	direct product factor
246	C₂×C₅	C₂²×D₃×D₄	1	3	yes	—
247	C₂³	—	2	24	no	—
248	C₂³	—	3	12	no	—
249	C₂³	—	3	2	no	—
250	C₂³	—	3	8	no	—
251	C₂³	—	6	96	no	—
252	C₂³	—	6	24	no	—
253	C₂³	—	12	64	no	—
254	C₂³	C₂³×C₅×D₃	1	8	yes	—
255	C₂³	C₂³×C₅×D₃	1	1	yes	characteristic
256	D₄	—	2	48	no	—
257	D₄	—	6	96	no	—
258	D₄	—	6	48	no	—
259	C₂×C₄	—	3	12	no	—
260	C₂×C₄	—	3	6	no	—
261	C₂×C₄	—	3	48	no	—
262	C₂×C₄	C₅×D₃×D₄	1	12	yes	complemented
263	C₂×C₄	C₂³×C₅×D₃	1	6	yes	—
264	C₂×C₃	—	4	8	no	—
265	C₂×C₃	C₂×C₅×#127	1	4	yes	complemented
266	C₂×C₃	C₂³×C₅×D₄	1	3	yes	—
267	D₃	—	4	8	no	—
268	D₃	C₂×C₅×#127	1	8	yes	direct product factor
269	C₅	C₂×D₃×#127	1	1	yes	characteristic, direct product factor, Sylow
270	C₂²	—	2	24	no	—
271	C₂²	—	3	12	no	—
272	C₂²	—	3	16	no	—
273	C₂²	—	4	16	no	—
274	C₂²	—	6	24	no	—
275	C₂²	—	12	64	no	—
276	C₂²	—	12	16	no	—
277	C₂²	C₂×C₅×D₃×D₄	1	6	yes	—
278	C₂²	C₂⁴×C₅×D₃	1	1	yes	characteristic
279	C₄	—	3	12	no	—
280	C₄	C₂×C₅×D₃×D₄	1	12	yes	complemented
281	C₃	C₂²×C₅×#127	1	1	yes	characteristic, complemented, Sylow
282	C₂	—	3	8	no	—
283	C₂	—	4	8	no	—
284	C₂	—	12	8	no	—
285	C₂	C₅×D₃×#127	1	4	yes	direct product factor
286	C₂	C₂²×C₅×D₃×D₄	1	3	yes	—

	subgroup	G/H
center	C₂³×C₅	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁵×C₅
Frattini	C₂²	C₂⁴×C₅×D₃
Fitting	C₂×C₃×C₅×#127	C₂
socle	C₂³×C₃×C₅	C₂⁴
hypercenter	C₂×C₅×#127	D₃
hypocenter	C₃	C₂²×C₅×#127
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₅ ◁ C₂×C₅×#127

Complements

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

N	H ≅ G/N	type
1. C₂²×C₅×D₃×D₄	C₂	semidirect
2. C₂×C₃×C₅×#127	C₂	semidirect
3. C₂×C₅×#940	C₂	semidirect
4. C₅×D₃×#127	C₂	direct (N × H)
5. C₂×C₅×#874	C₂	semidirect
6. C₂×C₄²×C₅×D₃	C₂	semidirect
9. C₂²×C₃×C₅×D₄	C₂²	semidirect
10. C₂²×C₅×#67	C₂²	semidirect
12. C₂×C₅×D₃×D₄	C₂²	semidirect
13. C₂²×C₅×D₁₂	C₂²	semidirect
15. C₃×C₅×#127	C₂²	semidirect
16. C₂×C₃×C₄²×C₅	C₂²	semidirect
17. C₅×#940	C₂²	semidirect
18. C₂×C₄×C₅×Dic₃	C₂²	semidirect
19. C₅×#874	C₂²	semidirect
20. C₄²×C₅×D₃	C₂²	semidirect
21. C₂×D₃×#127	C₅	direct (N × H)
26. C₂×C₅×#127	D₃	direct (N × H)
34. C₂×C₃×C₅×D₄	C₂³	semidirect
37. C₂×C₅×#67	C₂³	semidirect
41. C₂×C₅×D₁₂	C₂³	semidirect
42. C₂×C₄×C₅×D₃	D₄	semidirect
44. C₃×C₄²×C₅	C₂³	semidirect
45. C₄×C₅×Dic₃	C₂³	semidirect
46. C₂²×D₃×D₄	C₂×C₅	semidirect
47. C₂×C₃×#127	C₂×C₅	semidirect
48. C₂×#940	C₂×C₅	semidirect
49. D₃×#127	C₂×C₅	direct (N × H)
50. C₂×#874	C₂×C₅	semidirect
51. C₂×C₄²×D₃	C₂×C₅	semidirect
57. C₂²×C₅×D₄	C₂×D₃	semidirect
61. C₅×#127	C₂×D₃	direct (N × H)
64. C₂×C₄²×C₅	C₂×D₃	semidirect
76. C₂×C₃×C₄×C₅	C₂×D₄	semidirect
79. C₂×C₅×Dic₃	C₂×D₄	semidirect
82. C₄×C₅×D₃	C₂×D₄	semidirect
84. C₂²×C₃×D₄	C₂²×C₅	semidirect
85. C₂²×#67	C₂²×C₅	semidirect
87. C₂×D₃×D₄	C₂²×C₅	semidirect
88. C₂²×D₁₂	C₂²×C₅	semidirect
90. C₃×#127	C₂²×C₅	semidirect
91. C₂×C₃×C₄²	C₂²×C₅	semidirect
92. #940	C₂²×C₅	semidirect
93. C₂×C₄×Dic₃	C₂²×C₅	semidirect
94. #874	C₂²×C₅	semidirect
95. C₄²×D₃	C₂²×C₅	semidirect
107. C₂×C₅×D₄	C₂²×D₃	semidirect
113. C₄²×C₅	C₂²×D₃	semidirect
118. C₂×#127	C₅×D₃	direct (N × H)
127. C₂×C₅×D₃	#127	direct (N × H)
129. C₃×C₄×C₅	C₂²×D₄	semidirect
130. C₅×Dic₃	C₂²×D₄	semidirect
137. C₂×C₃×D₄	C₂³×C₅	semidirect
140. C₂×#67	C₂³×C₅	semidirect
144. C₂×D₁₂	C₂³×C₅	semidirect
145. C₂×C₄×D₃	C₅×D₄	semidirect
147. C₃×C₄²	C₂³×C₅	semidirect
148. C₄×Dic₃	C₂³×C₅	semidirect
164. C₂×C₄×C₅	D₃×D₄	semidirect
171. C₂²×D₄	C₂×C₅×D₃	semidirect
175. #127	C₂×C₅×D₃	direct (N × H)
178. C₂×C₄²	C₂×C₅×D₃	semidirect
180. C₂×C₃×C₅	C₂×#127	semidirect
183. C₅×D₃	C₂×#127	direct (N × H)
194. C₂×C₃×C₄	C₂×C₅×D₄	semidirect
197. C₂×Dic₃	C₂×C₅×D₄	semidirect
200. C₄×D₃	C₂×C₅×D₄	semidirect
211. C₄×C₅	C₂×D₃×D₄	semidirect
223. C₂×D₄	C₂²×C₅×D₃	semidirect
229. C₄²	C₂²×C₅×D₃	semidirect
230. C₃×C₅	C₂²×#127	semidirect
238. C₂×D₃	C₅×#127	direct (N × H)
240. C₃×C₄	C₂²×C₅×D₄	semidirect
241. Dic₃	C₂²×C₅×D₄	semidirect
245. C₂×C₅	D₃×#127	direct (N × H)
262. C₂×C₄	C₅×D₃×D₄	semidirect
265. C₂×C₃	C₂×C₅×#127	semidirect
268. D₃	C₂×C₅×#127	direct (N × H)
269. C₅	C₂×D₃×#127	direct (N × H)
280. C₄	C₂×C₅×D₃×D₄	semidirect
281. C₃	C₂²×C₅×#127	semidirect
285. C₂	C₅×D₃×#127	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×D₄	2
C₂×C₃×C₅×#127	2
C₂×C₅×#940	2
C₅×D₃×#127	2
C₂×C₅×#874	2
C₂×C₄²×C₅×D₃	2
C₂²×C₅×#127	3
C₂×D₃×#127	5

Subgroups — C2×C5×D3×#127 #14479958

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₅×D₃×#127 #14479958