Subgroups — C₂×C₃×#65169 #14413296

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×C₃×C₈×D₅	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×#4038	C₂	1	2	yes	maximal
3	C₂×C₃×C₅×#107	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₃×#3950	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×C₃×#3940	C₂	1	2	yes	maximal, complemented
6	C₃×#65169	C₂	1	8	yes	maximal, direct product factor
7	C₂×#65169	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₂²×C₃×C₄×D₅	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×C₃×#685	—	2	2	no	—
12	C₂×C₃×C₄⋊Dic₅	C₂²	1	2	yes	—
13	C₂×C₃×C₄×Dic₅	—	2	2	no	—
14	C₂²×C₃×#168	C₂²	1	1	yes	characteristic
15	C₂×C₃×C₈×D₅	C₄	1	8	yes	complemented
16	C₂×C₃×C₈×D₅	C₂²	1	4	yes	—
17	C₃×#4038	—	2	4	no	—
18	C₃×#4038	C₂²	1	8	yes	—
19	C₃×C₅×#107	C₂²	1	4	yes	complemented
20	C₃×#3950	C₂²	1	4	yes	complemented
21	C₃×#3940	C₂²	1	8	yes	complemented
22	C₂×C₃×#427	—	5	1	no	maximal, Hall
23	C₂²×C₈×D₅	C₂×C₃	1	1	yes	characteristic
24	C₂×#4038	C₂×C₃	1	2	yes	—
25	C₂×C₅×#107	C₂×C₃	1	1	yes	characteristic, complemented
26	C₂×#3950	C₂×C₃	1	1	yes	characteristic, complemented
27	C₂×#3940	C₂×C₃	1	2	yes	complemented
28	#65169	C₂×C₃	1	8	yes	direct product factor
29	C₂³×C₃×D₅	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×C₃×Dic₅	—	2	2	no	—
33	C₂²×C₃×Dic₅	D₄	1	1	yes	characteristic
34	C₂×C₃×C₄×D₅	C₂×C₄	1	4	yes	—
35	C₂×C₃×C₄×D₅	D₄	1	2	yes	—
36	C₂×C₃×C₄×D₅	Q₈	1	4	yes	—
37	C₂×C₃×C₄×D₅	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	C₃×#685	—	2	8	no	—
43	C₃×C₄⋊Dic₅	—	2	2	no	—
44	C₃×C₄⋊Dic₅	C₂³	1	4	yes	—
45	C₃×C₄×Dic₅	—	2	8	no	—
46	C₂×C₃×#168	C₂×C₄	1	4	yes	—
47	C₂×C₃×#168	C₂³	1	2	yes	—
48	C₃×C₈×D₅	C₂×C₄	1	16	yes	complemented
49	C₂³×C₃×C₈	—	5	1	no	—
50	C₂×C₃×#117	—	5	2	no	—
51	C₃×#427	—	5	8	no	—
52	C₂×C₃×#107	—	5	1	no	—
53	C₂×C₃×#107	D₅	1	1	yes	characteristic, complemented
54	C₂×C₃×#106	—	5	2	no	—
55	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
56	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic
57	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
58	C₂×#685	—	2	2	no	—
59	C₂×C₄⋊Dic₅	C₂²×C₃	1	2	yes	—
60	C₂×C₄×Dic₅	—	2	2	no	—
61	C₂²×#168	C₂²×C₃	1	1	yes	characteristic
62	C₂×C₈×D₅	C₃×C₄	1	8	yes	complemented
63	C₂×C₈×D₅	C₂²×C₃	1	4	yes	—
64	#4038	—	2	4	no	—
65	#4038	C₂²×C₃	1	8	yes	—
66	C₅×#107	C₂²×C₃	1	4	yes	complemented
67	#3950	C₂²×C₃	1	4	yes	complemented
68	#3940	C₂²×C₃	1	8	yes	complemented
69	C₂×#427	—	5	1	no	Sylow
70	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
71	C₂²×C₃×D₅	—	2	2	no	—
72	C₂²×C₃×D₅	—	2	2	no	—
73	C₂²×C₃×D₅	C₄⋊C₄	1	4	yes	—
74	C₂²×C₃×D₅	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×C₃×Dic₅	—	2	4	no	—
82	C₂×C₃×Dic₅	—	4	4	no	—
83	C₂×C₃×Dic₅	C₄⋊C₄	1	4	yes	—
84	C₂×C₃×Dic₅	C₂×D₄	1	2	yes	—
85	C₃×C₄×D₅	C₄⋊C₄	1	8	yes	—
86	C₃×C₄×D₅	C₂²×C₄	1	4	yes	—
87	C₃×C₄×D₅	C₂×Q₈	1	4	yes	—
88	C₃×C₅×C₈	C₂²×C₄	1	4	yes	—
89	C₃×#168	C₂²×C₄	1	4	yes	—
90	C₂³×C₃×C₄	—	5	1	no	—
91	C₂²×C₃×C₈	—	5	1	no	—
92	C₂²×C₃×C₈	—	5	8	no	—
93	C₂²×C₃×C₈	—	5	4	no	—
94	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
95	C₃×#117	—	5	8	no	—
96	C₃×#117	—	10	4	no	—
97	C₂×C₃×C₄⋊C₄	—	5	2	no	—
98	C₂×C₃×C₄⋊C₄	C₂×D₅	1	2	yes	—
99	C₂×C₃×C₂²⋊C₄	—	10	2	no	—
100	C₂×C₃×C₄²	—	10	2	no	—
101	C₃×#107	—	5	4	no	—
102	C₃×#107	C₂×D₅	1	4	yes	complemented
103	C₃×#106	—	5	8	no	—
104	C₂³×D₅	C₃×D₄	1	1	yes	characteristic
105	C₂²×C₄×C₅	—	2	2	no	—
106	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
107	C₂²×Dic₅	—	2	2	no	—
108	C₂²×Dic₅	C₃×D₄	1	1	yes	characteristic
109	C₂×C₄×D₅	C₂×C₃×C₄	1	4	yes	—
110	C₂×C₄×D₅	C₃×D₄	1	2	yes	—
111	C₂×C₄×D₅	C₃×Q₈	1	4	yes	—
112	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
113	C₂×C₅×C₈	C₂×C₃×C₄	1	4	yes	—
114	C₂×C₅×C₈	C₂³×C₃	1	2	yes	—
115	C₅×C₄⋊C₄	—	2	2	no	—
116	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
117	#685	—	2	8	no	—
118	C₄⋊Dic₅	—	2	2	no	—
119	C₄⋊Dic₅	C₂³×C₃	1	4	yes	—
120	C₄×Dic₅	—	2	8	no	—
121	C₂×#168	C₂×C₃×C₄	1	4	yes	—
122	C₂×#168	C₂³×C₃	1	2	yes	—
123	C₈×D₅	C₂×C₃×C₄	1	16	yes	complemented
124	C₂³×C₈	—	5	1	no	—
125	C₂×#117	—	5	2	no	—
126	#427	—	5	8	no	—
127	C₂×#107	—	5	1	no	—
128	C₂×#107	C₃×D₅	1	1	yes	characteristic, complemented
129	C₂×#106	—	5	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×C₃×D₅	—	2	2	no	—
135	C₂×C₃×D₅	—	2	2	no	—
136	C₂×C₃×D₅	—	2	8	no	—
137	C₂×C₃×D₅	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	C₃×Dic₅	—	4	4	no	—
143	C₃×Dic₅	C₂×C₄⋊C₄	1	4	yes	—
144	C₂⁴×C₃	—	5	1	no	—
145	C₂²×C₃×C₄	—	2	2	no	—
146	C₂²×C₃×C₄	—	5	1	no	—
147	C₂²×C₃×C₄	—	5	4	no	—
148	C₂²×C₃×C₄	—	5	2	no	—
149	C₂²×C₃×C₄	—	5	4	no	—
150	C₂²×C₃×C₄	—	5	2	no	—
151	C₂²×C₃×C₄	—	10	2	no	—
152	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
153	C₂×C₃×C₈	—	5	4	no	—
154	C₂×C₃×C₈	—	5	2	no	—
155	C₂×C₃×C₈	—	5	16	no	—
156	C₂×C₃×C₈	C₄×D₅	1	4	yes	—
157	C₂×C₃×C₈	C₂²×D₅	1	2	yes	—
158	C₃×C₄⋊C₄	—	2	2	no	—
159	C₃×C₄⋊C₄	—	5	4	no	—
160	C₃×C₄⋊C₄	—	10	2	no	—
161	C₃×C₄⋊C₄	C₂²×D₅	1	4	yes	—
162	C₃×C₂²⋊C₄	—	10	8	no	—
163	C₃×C₄²	—	10	8	no	—
164	C₂³×C₅	C₂×C₃×D₄	1	1	yes	characteristic
165	C₂²×D₅	—	2	2	no	—
166	C₂²×D₅	—	2	2	no	—
167	C₂²×D₅	C₃×C₄⋊C₄	1	4	yes	—
168	C₂²×D₅	C₂×C₃×D₄	1	2	yes	—
169	C₂×C₄×C₅	—	2	4	no	—
170	C₂×C₄×C₅	—	4	4	no	—
171	C₂×C₄×C₅	C₂²×C₃×C₄	1	2	yes	—
172	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
173	C₂×C₄×C₅	C₂×C₃×Q₈	1	2	yes	—
174	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
175	C₂×Dic₅	—	2	4	no	—
176	C₂×Dic₅	—	4	4	no	—
177	C₂×Dic₅	C₃×C₄⋊C₄	1	4	yes	—
178	C₂×Dic₅	C₂×C₃×D₄	1	2	yes	—
179	C₄×D₅	C₃×C₄⋊C₄	1	8	yes	—
180	C₄×D₅	C₂²×C₃×C₄	1	4	yes	—
181	C₄×D₅	C₂×C₃×Q₈	1	4	yes	—
182	C₅×C₈	C₂²×C₃×C₄	1	4	yes	—
183	#168	C₂²×C₃×C₄	1	4	yes	—
184	C₂³×C₄	—	5	1	no	—
185	C₂²×C₈	—	5	1	no	—
186	C₂²×C₈	—	5	8	no	—
187	C₂²×C₈	—	5	4	no	—
188	C₂²×C₈	C₂×C₃×D₅	1	1	yes	characteristic
189	#117	—	5	8	no	—
190	#117	—	10	4	no	—
191	C₂×C₄⋊C₄	—	5	2	no	—
192	C₂×C₄⋊C₄	C₂×C₃×D₅	1	2	yes	—
193	C₂×C₂²⋊C₄	—	10	2	no	—
194	C₂×C₄²	—	10	2	no	—
195	#107	—	5	4	no	—
196	#107	C₂×C₃×D₅	1	4	yes	complemented
197	#106	—	5	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	C₃×D₅	—	2	4	no	—
203	C₂³×C₃	—	5	2	no	—
204	C₂³×C₃	—	5	4	no	—
205	C₂³×C₃	—	10	2	no	—
206	C₂³×C₃	—	10	2	no	—
207	C₂³×C₃	D₄×D₅	1	1	yes	characteristic
208	C₂×C₃×C₄	—	2	4	no	—
209	C₂×C₃×C₄	—	4	4	no	—
210	C₂×C₃×C₄	—	5	2	no	—
211	C₂×C₃×C₄	—	5	4	no	—
212	C₂×C₃×C₄	—	5	4	no	—
213	C₂×C₃×C₄	—	5	4	no	—
214	C₂×C₃×C₄	—	5	8	no	—
215	C₂×C₃×C₄	—	10	4	no	—
216	C₂×C₃×C₄	—	20	4	no	—
217	C₂×C₃×C₄	C₂×C₄×D₅	1	2	yes	—
218	C₂×C₃×C₄	D₄×D₅	1	1	yes	characteristic
219	C₂×C₃×C₄	Q₈×D₅	1	2	yes	—
220	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
221	C₃×C₈	—	5	4	no	—
222	C₃×C₈	C₂×C₄×D₅	1	4	yes	—
223	C₂²×C₅	C₂×C₃×C₄⋊C₄	1	2	yes	—
224	C₂²×C₅	C₃×#135	1	2	yes	—
225	C₂²×C₅	C₃×#135	1	2	yes	—
226	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
227	C₂×D₅	—	2	2	no	—
228	C₂×D₅	—	2	2	no	—
229	C₂×D₅	—	2	8	no	—
230	C₂×D₅	C₂×C₃×C₄⋊C₄	1	4	yes	—
231	C₄×C₅	—	4	4	no	—
232	C₄×C₅	C₂×C₃×C₄⋊C₄	1	2	yes	—
233	C₄×C₅	C₂³×C₃×C₄	1	1	yes	characteristic
234	C₄×C₅	C₂²×C₃×Q₈	1	1	yes	characteristic
235	Dic₅	—	4	4	no	—
236	Dic₅	C₂×C₃×C₄⋊C₄	1	4	yes	—
237	C₂⁴	—	5	1	no	—
238	C₂²×C₄	—	2	2	no	—
239	C₂²×C₄	—	5	1	no	—
240	C₂²×C₄	—	5	4	no	—
241	C₂²×C₄	—	5	2	no	—
242	C₂²×C₄	—	5	4	no	—
243	C₂²×C₄	—	5	2	no	—
244	C₂²×C₄	—	10	2	no	—
245	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
246	C₂×C₈	—	5	4	no	—
247	C₂×C₈	—	5	2	no	—
248	C₂×C₈	—	5	16	no	—
249	C₂×C₈	C₃×C₄×D₅	1	4	yes	—
250	C₂×C₈	C₂²×C₃×D₅	1	2	yes	—
251	C₄⋊C₄	—	2	2	no	—
252	C₄⋊C₄	—	5	4	no	—
253	C₄⋊C₄	—	10	2	no	—
254	C₄⋊C₄	C₂²×C₃×D₅	1	4	yes	—
255	C₂²⋊C₄	—	10	8	no	—
256	C₄²	—	10	8	no	—
257	C₃×C₅	C₂×#427	1	1	yes	characteristic, complemented, Hall
258	C₂²×C₃	—	5	4	no	—
259	C₂²×C₃	—	10	2	no	—
260	C₂²×C₃	—	10	2	no	—
261	C₂²×C₃	—	10	8	no	—
262	C₂²×C₃	D₅×C₄⋊C₄	1	2	yes	—
263	C₂²×C₃	#4058	1	2	yes	—
264	C₂²×C₃	#4065	1	2	yes	—
265	C₂²×C₃	C₂×D₄×D₅	1	1	yes	characteristic
266	C₃×C₄	—	4	4	no	—
267	C₃×C₄	—	5	4	no	—
268	C₃×C₄	—	20	4	no	—
269	C₃×C₄	D₅×C₄⋊C₄	1	2	yes	—
270	C₃×C₄	C₂²×C₄×D₅	1	1	yes	characteristic
271	C₃×C₄	C₂×Q₈×D₅	1	1	yes	characteristic
272	C₂×C₅	C₃×#427	1	4	yes	complemented
273	C₂×C₅	C₂²×C₃×C₄⋊C₄	1	1	yes	characteristic
274	C₂×C₅	C₂×C₃×#135	1	1	yes	characteristic
275	C₂×C₅	C₂×C₃×#135	1	1	yes	characteristic
276	D₅	—	2	4	no	—
277	C₂³	—	5	2	no	—
278	C₂³	—	5	4	no	—
279	C₂³	—	10	2	no	—
280	C₂³	—	10	2	no	—
281	C₂³	C₃×D₄×D₅	1	1	yes	characteristic
282	C₂×C₄	—	2	4	no	—
283	C₂×C₄	—	4	4	no	—
284	C₂×C₄	—	5	2	no	—
285	C₂×C₄	—	5	4	no	—
286	C₂×C₄	—	5	4	no	—
287	C₂×C₄	—	5	4	no	—
288	C₂×C₄	—	5	8	no	—
289	C₂×C₄	—	10	4	no	—
290	C₂×C₄	—	20	4	no	—
291	C₂×C₄	C₂×C₃×C₄×D₅	1	2	yes	—
292	C₂×C₄	C₃×D₄×D₅	1	1	yes	characteristic
293	C₂×C₄	C₃×Q₈×D₅	1	2	yes	—
294	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
295	C₈	—	5	4	no	—
296	C₈	C₂×C₃×C₄×D₅	1	4	yes	—
297	C₂×C₃	—	10	4	no	—
298	C₂×C₃	#65169	1	4	yes	direct product factor
299	C₂×C₃	C₂×D₅×C₄⋊C₄	1	1	yes	characteristic
300	C₂×C₃	C₂×#4058	1	1	yes	characteristic
301	C₂×C₃	C₂×#4065	1	1	yes	characteristic
302	C₅	C₂×C₃×#427	1	1	yes	characteristic, complemented, Sylow
303	C₂²	—	5	4	no	—
304	C₂²	—	10	2	no	—
305	C₂²	—	10	8	no	—
306	C₂²	—	10	2	no	—
307	C₂²	C₃×D₅×C₄⋊C₄	1	2	yes	—
308	C₂²	C₃×#4058	1	2	yes	—
309	C₂²	C₃×#4065	1	2	yes	—
310	C₂²	C₂×C₃×D₄×D₅	1	1	yes	characteristic
311	C₄	—	4	4	no	—
312	C₄	—	5	4	no	—
313	C₄	—	20	4	no	—
314	C₄	C₃×D₅×C₄⋊C₄	1	2	yes	—
315	C₄	C₂²×C₃×C₄×D₅	1	1	yes	characteristic
316	C₄	C₂×C₃×Q₈×D₅	1	1	yes	characteristic
317	C₃	C₂×#65169	1	1	yes	characteristic, direct product factor, Sylow
318	C₂	—	10	4	no	—
319	C₂	C₃×#65169	1	4	yes	direct product factor
320	C₂	C₂×C₃×D₅×C₄⋊C₄	1	1	yes	characteristic
321	C₂	C₂×C₃×#4058	1	1	yes	characteristic
322	C₂	C₂×C₃×#4065	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	D₄×D₅
commutator	C₄×C₅	C₂³×C₃×C₄
Frattini	C₂×C₄	C₂³×C₃×D₅
Fitting	C₂×C₃×C₅×#107	C₂
socle	C₂³×C₃×C₅	C₂×D₄
prime radical	C₂³×C₃×D₅	D₄
cosocle	C₂×C₄×C₅	C₂⁴×C₃
hypercenter	C₂×C₃×#107	D₅
hypocenter	C₅	C₂×C₃×#427
LCS	G ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂³×C₃ ◁ C₂²×C₃×C₄ ◁ C₂×C₃×#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×C₃×#3950	C₂	semidirect
5. C₂×C₃×#3940	C₂	semidirect
6. C₃×#65169	C₂	direct (N × H)
7. C₂×#65169	C₃	direct (N × H)
15. C₂×C₃×C₈×D₅	C₄	semidirect
19. C₃×C₅×#107	C₂²	semidirect
20. C₃×#3950	C₂²	semidirect
21. C₃×#3940	C₂²	semidirect
25. C₂×C₅×#107	C₂×C₃	semidirect
26. C₂×#3950	C₂×C₃	semidirect
27. C₂×#3940	C₂×C₃	semidirect
28. #65169	C₂×C₃	direct (N × H)
48. C₃×C₈×D₅	C₂×C₄	semidirect
53. C₂×C₃×#107	D₅	semidirect
62. C₂×C₈×D₅	C₃×C₄	semidirect
66. C₅×#107	C₂²×C₃	semidirect
67. #3950	C₂²×C₃	semidirect
68. #3940	C₂²×C₃	semidirect
102. C₃×#107	C₂×D₅	semidirect
123. C₈×D₅	C₂×C₃×C₄	semidirect
128. C₂×#107	C₃×D₅	semidirect
196. #107	C₂×C₃×D₅	semidirect
198. C₂×C₃×C₅	#427	semidirect
257. C₃×C₅	C₂×#427	semidirect
272. C₂×C₅	C₃×#427	semidirect
298. C₂×C₃	#65169	direct (N × H)
302. C₅	C₂×C₃×#427	semidirect
317. C₃	C₂×#65169	direct (N × H)
319. C₂	C₃×#65169	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×C₈×D₅	2
C₂×C₃×#4038	2
C₂×C₃×C₅×#107	2
C₂×C₃×#3950	2
C₂×C₃×#3940	2
C₃×#65169	2
C₂×#65169	3
C₂×C₃×#427	5

Subgroups — C2×C3×#65169 #14413296

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#65169 #14413296