Subgroups — C₂×C₃×#64750 #14294749

Order 1920.

864 conjugacy classes of subgroups.

The subgroup lattice has 328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×C₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
2	C₂²×C₃×#681	C₂	1	2	yes	maximal
3	C₃×#64750	C₂	1	4	yes	maximal, direct product factor
4	C₂×#64750	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₂³×C₃×C₄×C₅	C₄	1	2	yes	—
6	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
7	C₂×C₃×C₅×C₄⋊C₄	—	2	2	no	—
8	C₂×C₃×C₅×C₄⋊C₄	—	2	2	no	—
9	C₂×C₃×C₅×C₄⋊C₄	C₄	1	2	yes	—
10	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	—
11	C₂×C₃×#681	—	2	4	no	—
12	C₂×C₃×#681	—	2	2	no	—
13	C₂×C₃×#681	C₄	1	8	yes	complemented
14	C₂×C₃×#681	C₂²	1	4	yes	—
15	C₂²×C₃×#168	—	2	2	no	—
16	C₂×C₃×#343	—	5	1	no	maximal, Hall
17	C₂²×C₅×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic
18	C₂²×#681	C₂×C₃	1	2	yes	—
19	#64750	C₂×C₃	1	4	yes	direct product factor
20	C₂⁴×C₃×C₅	C₂×C₄	1	1	yes	characteristic
21	C₂²×C₃×C₄×C₅	—	2	2	no	—
22	C₂²×C₃×C₄×C₅	—	2	2	no	—
23	C₂²×C₃×C₄×C₅	—	4	4	no	—
24	C₂²×C₃×C₄×C₅	C₂×C₄	1	4	yes	—
25	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
26	C₂²×C₃×C₄×C₅	C₂×C₄	1	4	yes	—
27	C₂²×C₃×C₄×C₅	D₄	1	2	yes	—
28	C₂²×C₃×C₄×C₅	D₄	1	2	yes	—
29	C₂²×C₃×C₄×C₅	D₄	1	2	yes	—
30	C₂²×C₃×C₄×C₅	Q₈	1	2	yes	—
31	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
32	C₃×C₅×C₄⋊C₄	—	2	4	no	—
33	C₃×C₅×C₄⋊C₄	—	2	4	no	—
34	C₃×#681	—	2	8	no	—
35	C₃×#681	—	2	4	no	—
36	C₃×#681	C₂×C₄	1	8	yes	complemented
37	C₂×C₃×#168	—	2	8	no	—
38	C₂×C₃×#168	—	2	4	no	—
39	C₂²×C₃×M₁₆	—	5	2	no	—
40	C₂²×C₃×C₄⋊C₄	D₅	1	1	yes	characteristic
41	C₃×#343	—	5	4	no	—
42	C₂³×C₄×C₅	C₃×C₄	1	2	yes	—
43	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic
44	C₂×C₅×C₄⋊C₄	—	2	2	no	—
45	C₂×C₅×C₄⋊C₄	—	2	2	no	—
46	C₂×C₅×C₄⋊C₄	C₃×C₄	1	2	yes	—
47	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
48	C₂×#681	—	2	4	no	—
49	C₂×#681	—	2	2	no	—
50	C₂×#681	C₃×C₄	1	8	yes	complemented
51	C₂×#681	C₂²×C₃	1	4	yes	—
52	C₂²×#168	—	2	2	no	—
53	C₂×#343	—	5	1	no	Sylow
54	C₂³×C₃×C₅	—	2	2	no	—
55	C₂³×C₃×C₅	—	2	2	no	—
56	C₂³×C₃×C₅	C₄²	1	2	yes	—
57	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
58	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
59	C₂³×C₃×C₅	C₄⋊C₄	1	2	yes	—
60	C₂³×C₃×C₅	C₂²×C₄	1	1	yes	characteristic
61	C₂×C₃×C₄×C₅	—	2	4	no	—
62	C₂×C₃×C₄×C₅	—	4	4	no	—
63	C₂×C₃×C₄×C₅	—	4	4	no	—
64	C₂×C₃×C₄×C₅	—	4	4	no	—
65	C₂×C₃×C₄×C₅	C₄²	1	2	yes	—
66	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
67	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	4	yes	—
68	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	4	yes	—
69	C₂×C₃×C₄×C₅	C₄⋊C₄	1	2	yes	—
70	C₂×C₃×C₄×C₅	C₄⋊C₄	1	4	yes	—
71	C₂×C₃×C₄×C₅	C₄⋊C₄	1	4	yes	—
72	C₂×C₃×C₄×C₅	C₂²×C₄	1	2	yes	—
73	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
74	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
75	C₂×C₃×C₄×C₅	C₂×Q₈	1	1	yes	characteristic
76	C₃×#168	—	2	8	no	—
77	C₂³×C₃×C₄	Dic₅	1	2	yes	—
78	C₂³×C₃×C₄	C₂×D₅	1	1	yes	characteristic
79	C₂×C₃×M₁₆	—	5	8	no	—
80	C₂×C₃×M₁₆	—	5	4	no	—
81	C₂×C₃×M₁₆	—	10	4	no	—
82	C₂×C₃×M₁₆	—	10	2	no	—
83	C₂²×C₃×C₈	—	10	2	no	—
84	C₂×C₃×C₄⋊C₄	—	2	2	no	—
85	C₂×C₃×C₄⋊C₄	—	2	2	no	—
86	C₂×C₃×C₄⋊C₄	Dic₅	1	2	yes	—
87	C₂×C₃×C₄⋊C₄	C₂×D₅	1	2	yes	—
88	C₂⁴×C₅	C₂×C₃×C₄	1	1	yes	characteristic
89	C₂²×C₄×C₅	—	2	2	no	—
90	C₂²×C₄×C₅	—	2	2	no	—
91	C₂²×C₄×C₅	—	4	4	no	—
92	C₂²×C₄×C₅	C₂×C₃×C₄	1	4	yes	—
93	C₂²×C₄×C₅	C₂×C₃×C₄	1	4	yes	—
94	C₂²×C₄×C₅	C₂×C₃×C₄	1	1	yes	characteristic
95	C₂²×C₄×C₅	C₃×D₄	1	2	yes	—
96	C₂²×C₄×C₅	C₃×D₄	1	2	yes	—
97	C₂²×C₄×C₅	C₃×D₄	1	2	yes	—
98	C₂²×C₄×C₅	C₃×Q₈	1	2	yes	—
99	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
100	C₅×C₄⋊C₄	—	2	4	no	—
101	C₅×C₄⋊C₄	—	2	4	no	—
102	#681	—	2	8	no	—
103	#681	—	2	4	no	—
104	#681	C₂×C₃×C₄	1	8	yes	complemented
105	C₂×#168	—	2	8	no	—
106	C₂×#168	—	2	4	no	—
107	C₂²×M₁₆	—	5	2	no	—
108	C₂²×C₄⋊C₄	C₃×D₅	1	1	yes	characteristic
109	#343	—	5	4	no	—
110	C₂²×C₃×C₅	—	2	4	no	—
111	C₂²×C₃×C₅	—	2	4	no	—
112	C₂²×C₃×C₅	—	2	1	no	—
113	C₂²×C₃×C₅	—	2	1	no	—
114	C₂²×C₃×C₅	—	2	1	no	—
115	C₂²×C₃×C₅	—	2	1	no	—
116	C₂²×C₃×C₅	#95	1	2	yes	—
117	C₂²×C₃×C₅	#95	1	2	yes	—
118	C₂²×C₃×C₅	#100	1	2	yes	—
119	C₂²×C₃×C₅	#101	1	2	yes	—
120	C₂²×C₃×C₅	C₂×C₄²	1	1	yes	characteristic
121	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
122	C₂²×C₃×C₅	C₂×C₄⋊C₄	1	1	yes	characteristic
123	C₃×C₄×C₅	—	4	4	no	—
124	C₃×C₄×C₅	#95	1	4	yes	—
125	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	2	yes	—
126	C₃×C₄×C₅	C₂×C₄⋊C₄	1	2	yes	—
127	C₂⁴×C₃	C₂×Dic₅	1	1	yes	characteristic
128	C₂²×C₃×C₄	—	2	2	no	—
129	C₂²×C₃×C₄	—	2	2	no	—
130	C₂²×C₃×C₄	—	4	4	no	—
131	C₂²×C₃×C₄	Dic₁₀	1	2	yes	—
132	C₂²×C₃×C₄	C₄×D₅	1	4	yes	—
133	C₂²×C₃×C₄	D₂₀	1	2	yes	—
134	C₂²×C₃×C₄	C₂×Dic₅	1	4	yes	—
135	C₂²×C₃×C₄	C₂×Dic₅	1	1	yes	characteristic
136	C₂²×C₃×C₄	C₂²⋊D₅	1	2	yes	—
137	C₂²×C₃×C₄	C₂²⋊D₅	1	2	yes	—
138	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
139	C₃×M₁₆	—	5	8	no	—
140	C₃×M₁₆	—	10	8	no	—
141	C₃×M₁₆	—	10	4	no	—
142	C₂×C₃×C₈	—	10	8	no	—
143	C₂×C₃×C₈	—	10	4	no	—
144	C₃×C₄⋊C₄	—	2	4	no	—
145	C₃×C₄⋊C₄	—	2	4	no	—
146	C₂³×C₅	—	2	2	no	—
147	C₂³×C₅	—	2	2	no	—
148	C₂³×C₅	C₃×C₄²	1	2	yes	—
149	C₂³×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
150	C₂³×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
151	C₂³×C₅	C₃×C₄⋊C₄	1	2	yes	—
152	C₂³×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
153	C₂×C₄×C₅	—	2	4	no	—
154	C₂×C₄×C₅	—	4	4	no	—
155	C₂×C₄×C₅	—	4	4	no	—
156	C₂×C₄×C₅	—	4	4	no	—
157	C₂×C₄×C₅	C₃×C₄²	1	2	yes	—
158	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	4	yes	—
159	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	4	yes	—
160	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	2	yes	—
161	C₂×C₄×C₅	C₃×C₄⋊C₄	1	4	yes	—
162	C₂×C₄×C₅	C₃×C₄⋊C₄	1	4	yes	—
163	C₂×C₄×C₅	C₃×C₄⋊C₄	1	2	yes	—
164	C₂×C₄×C₅	C₂²×C₃×C₄	1	2	yes	—
165	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
166	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
167	C₂×C₄×C₅	C₂×C₃×Q₈	1	1	yes	characteristic
168	#168	—	2	8	no	—
169	C₂³×C₄	C₃×Dic₅	1	2	yes	—
170	C₂³×C₄	C₂×C₃×D₅	1	1	yes	characteristic
171	C₂×M₁₆	—	5	8	no	—
172	C₂×M₁₆	—	5	4	no	—
173	C₂×M₁₆	—	10	4	no	—
174	C₂×M₁₆	—	10	2	no	—
175	C₂²×C₈	—	10	2	no	—
176	C₂×C₄⋊C₄	—	2	2	no	—
177	C₂×C₄⋊C₄	—	2	2	no	—
178	C₂×C₄⋊C₄	C₃×Dic₅	1	2	yes	—
179	C₂×C₄⋊C₄	C₂×C₃×D₅	1	2	yes	—
180	C₂×C₃×C₅	—	2	2	no	—
181	C₂×C₃×C₅	—	2	1	no	—
182	C₂×C₃×C₅	—	2	1	no	—
183	C₂×C₃×C₅	#343	1	4	yes	complemented
184	C₂×C₃×C₅	C₂×#95	1	1	yes	characteristic
185	C₂×C₃×C₅	C₂×#100	1	1	yes	characteristic
186	C₂×C₃×C₅	C₂×#101	1	1	yes	characteristic
187	C₂³×C₃	—	2	2	no	—
188	C₂³×C₃	—	2	2	no	—
189	C₂³×C₃	C₄×Dic₅	1	2	yes	—
190	C₂³×C₃	C₄⋊Dic₅	1	2	yes	—
191	C₂³×C₃	C₂²⋊Dic₅	1	1	yes	characteristic
192	C₂³×C₃	C₂²⋊Dic₅	1	1	yes	characteristic
193	C₂³×C₃	C₂²×Dic₅	1	1	yes	characteristic
194	C₂×C₃×C₄	—	2	4	no	—
195	C₂×C₃×C₄	—	4	4	no	—
196	C₂×C₃×C₄	—	4	4	no	—
197	C₂×C₃×C₄	—	4	4	no	—
198	C₂×C₃×C₄	C₄×Dic₅	1	2	yes	—
199	C₂×C₃×C₄	#683	1	4	yes	—
200	C₂×C₃×C₄	#683	1	4	yes	—
201	C₂×C₃×C₄	C₄⋊Dic₅	1	2	yes	—
202	C₂×C₃×C₄	#685	1	4	yes	—
203	C₂×C₃×C₄	#685	1	4	yes	—
204	C₂×C₃×C₄	C₂²⋊Dic₅	1	2	yes	—
205	C₂×C₃×C₄	C₂×Dic₁₀	1	1	yes	characteristic
206	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
207	C₂×C₃×C₄	C₂×D₂₀	1	1	yes	characteristic
208	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	2	yes	—
209	C₃×C₈	—	10	8	no	—
210	C₂²×C₅	—	2	1	no	—
211	C₂²×C₅	—	2	1	no	—
212	C₂²×C₅	—	2	1	no	—
213	C₂²×C₅	—	2	1	no	—
214	C₂²×C₅	—	2	4	no	—
215	C₂²×C₅	—	2	4	no	—
216	C₂²×C₅	C₃×#95	1	2	yes	—
217	C₂²×C₅	C₃×#95	1	2	yes	—
218	C₂²×C₅	C₃×#100	1	2	yes	—
219	C₂²×C₅	C₃×#101	1	2	yes	—
220	C₂²×C₅	C₂×C₃×C₄²	1	1	yes	characteristic
221	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
222	C₂²×C₅	C₂×C₃×C₄⋊C₄	1	1	yes	characteristic
223	C₄×C₅	—	4	4	no	—
224	C₄×C₅	C₃×#95	1	4	yes	—
225	C₄×C₅	C₂×C₃×C₂²⋊C₄	1	2	yes	—
226	C₄×C₅	C₂×C₃×C₄⋊C₄	1	2	yes	—
227	C₂⁴	C₂×C₃×Dic₅	1	1	yes	characteristic
228	C₂²×C₄	—	2	2	no	—
229	C₂²×C₄	—	2	2	no	—
230	C₂²×C₄	—	4	4	no	—
231	C₂²×C₄	C₃×Dic₁₀	1	2	yes	—
232	C₂²×C₄	C₃×C₄×D₅	1	4	yes	—
233	C₂²×C₄	C₃×D₂₀	1	2	yes	—
234	C₂²×C₄	C₂×C₃×Dic₅	1	4	yes	—
235	C₂²×C₄	C₂×C₃×Dic₅	1	1	yes	characteristic
236	C₂²×C₄	C₃×C₂²⋊D₅	1	2	yes	—
237	C₂²×C₄	C₃×C₂²⋊D₅	1	2	yes	—
238	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
239	M₁₆	—	5	8	no	—
240	M₁₆	—	10	8	no	—
241	M₁₆	—	10	4	no	—
242	C₂×C₈	—	10	8	no	—
243	C₂×C₈	—	10	4	no	—
244	C₄⋊C₄	—	2	4	no	—
245	C₄⋊C₄	—	2	4	no	—
246	C₃×C₅	C₂×#343	1	1	yes	characteristic, complemented, Hall
247	C₂²×C₃	—	2	1	no	—
248	C₂²×C₃	—	2	1	no	—
249	C₂²×C₃	—	2	1	no	—
250	C₂²×C₃	—	2	1	no	—
251	C₂²×C₃	—	2	4	no	—
252	C₂²×C₃	—	2	4	no	—
253	C₂²×C₃	#3963	1	2	yes	—
254	C₂²×C₃	#3963	1	2	yes	—
255	C₂²×C₃	#3965	1	2	yes	—
256	C₂²×C₃	#3968	1	2	yes	—
257	C₂²×C₃	C₂×C₄×Dic₅	1	1	yes	characteristic
258	C₂²×C₃	C₂×C₄⋊Dic₅	1	1	yes	characteristic
259	C₂²×C₃	C₂×C₂²⋊Dic₅	1	1	yes	characteristic
260	C₃×C₄	—	4	4	no	—
261	C₃×C₄	#3963	1	4	yes	—
262	C₃×C₄	C₂×#683	1	2	yes	—
263	C₃×C₄	C₂×#685	1	2	yes	—
264	C₂×C₅	—	2	2	no	—
265	C₂×C₅	—	2	1	no	—
266	C₂×C₅	—	2	1	no	—
267	C₂×C₅	C₃×#343	1	4	yes	complemented
268	C₂×C₅	C₂×C₃×#95	1	1	yes	characteristic
269	C₂×C₅	C₂×C₃×#100	1	1	yes	characteristic
270	C₂×C₅	C₂×C₃×#101	1	1	yes	characteristic
271	C₂³	—	2	2	no	—
272	C₂³	—	2	2	no	—
273	C₂³	C₃×C₄×Dic₅	1	2	yes	—
274	C₂³	C₃×C₄⋊Dic₅	1	2	yes	—
275	C₂³	C₃×C₂²⋊Dic₅	1	1	yes	characteristic
276	C₂³	C₃×C₂²⋊Dic₅	1	1	yes	characteristic
277	C₂³	C₂²×C₃×Dic₅	1	1	yes	characteristic
278	C₂×C₄	—	2	4	no	—
279	C₂×C₄	—	4	4	no	—
280	C₂×C₄	—	4	4	no	—
281	C₂×C₄	—	4	4	no	—
282	C₂×C₄	C₃×C₄×Dic₅	1	2	yes	—
283	C₂×C₄	C₃×#683	1	4	yes	—
284	C₂×C₄	C₃×#683	1	4	yes	—
285	C₂×C₄	C₃×C₄⋊Dic₅	1	2	yes	—
286	C₂×C₄	C₃×#685	1	4	yes	—
287	C₂×C₄	C₃×#685	1	4	yes	—
288	C₂×C₄	C₃×C₂²⋊Dic₅	1	2	yes	—
289	C₂×C₄	C₂×C₃×Dic₁₀	1	1	yes	characteristic
290	C₂×C₄	C₂×C₃×C₄×D₅	1	2	yes	—
291	C₂×C₄	C₂×C₃×D₂₀	1	1	yes	characteristic
292	C₂×C₄	C₂×C₃×C₂²⋊D₅	1	2	yes	—
293	C₈	—	10	8	no	—
294	C₂×C₃	—	2	2	no	—
295	C₂×C₃	—	2	1	no	—
296	C₂×C₃	—	2	1	no	—
297	C₂×C₃	#64750	1	4	yes	direct product factor
298	C₂×C₃	C₂×#3963	1	1	yes	characteristic
299	C₂×C₃	C₂×#3965	1	1	yes	characteristic
300	C₂×C₃	C₂×#3968	1	1	yes	characteristic
301	C₅	C₂×C₃×#343	1	1	yes	characteristic, complemented, Sylow
302	C₂²	—	2	4	no	—
303	C₂²	—	2	4	no	—
304	C₂²	—	2	1	no	—
305	C₂²	—	2	1	no	—
306	C₂²	—	2	1	no	—
307	C₂²	—	2	1	no	—
308	C₂²	C₃×#3963	1	2	yes	—
309	C₂²	C₃×#3963	1	2	yes	—
310	C₂²	C₃×#3965	1	2	yes	—
311	C₂²	C₃×#3968	1	2	yes	—
312	C₂²	C₂×C₃×C₄×Dic₅	1	1	yes	characteristic
313	C₂²	C₂×C₃×C₄⋊Dic₅	1	1	yes	characteristic
314	C₂²	C₂×C₃×C₂²⋊Dic₅	1	1	yes	characteristic
315	C₄	—	4	4	no	—
316	C₄	C₃×#3963	1	4	yes	—
317	C₄	C₂×C₃×#683	1	2	yes	—
318	C₄	C₂×C₃×#685	1	2	yes	—
319	C₃	C₂×#64750	1	1	yes	characteristic, direct product factor, Sylow
320	C₂	—	2	2	no	—
321	C₂	—	2	1	no	—
322	C₂	—	2	1	no	—
323	C₂	C₃×#64750	1	4	yes	direct product factor
324	C₂	C₂×C₃×#3963	1	1	yes	characteristic
325	C₂	C₂×C₃×#3965	1	1	yes	characteristic
326	C₂	C₂×C₃×#3968	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	C₂²⋊Dic₅
commutator	C₂²×C₅	C₂×C₃×C₄²
Frattini	C₂²×C₄	C₂²×C₃×D₅
Fitting	C₂²×C₃×C₅×C₄⋊C₄	C₂
socle	C₂³×C₃×C₅	C₂²⋊C₄
prime radical	C₂⁴×C₃×C₅	C₂×C₄
cosocle	C₂²×C₄×C₅	C₂³×C₃
hypercenter	C₂²×C₃×C₄⋊C₄	D₅
hypocenter	C₅	C₂×C₃×#343
LCS	G ▷ C₂²×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂³×C₃ ◁ C₂³×C₃×C₄ ◁ C₂²×C₃×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
3. C₃×#64750	C₂	direct (N × H)
4. C₂×#64750	C₃	direct (N × H)
13. C₂×C₃×#681	C₄	semidirect
19. #64750	C₂×C₃	direct (N × H)
36. C₃×#681	C₂×C₄	semidirect
50. C₂×#681	C₃×C₄	semidirect
104. #681	C₂×C₃×C₄	semidirect
183. C₂×C₃×C₅	#343	semidirect
246. C₃×C₅	C₂×#343	semidirect
267. C₂×C₅	C₃×#343	semidirect
297. C₂×C₃	#64750	direct (N × H)
301. C₅	C₂×C₃×#343	semidirect
319. C₃	C₂×#64750	direct (N × H)
323. C₂	C₃×#64750	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×C₃×C₅×C₄⋊C₄	2
C₂²×C₃×#681	2
C₃×#64750	2
C₂×#64750	3
C₂×C₃×#343	5

Subgroups — C2×C3×#64750 #14294749

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#64750 #14294749