Subgroups — C₂×C₃×#64708 #14314084

Order 1920.

464 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#4050	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×#106	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×#3944	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#64708	C₂	1	4	yes	maximal, direct product factor
5	C₂×#64708	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂×C₃×#709	—	2	1	no	—
7	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
8	C₂×C₃×C₅×C₄⋊C₄	—	2	1	no	—
9	C₂×C₃×Dic₂₀	C₄	1	1	yes	characteristic, complemented
10	C₃×#4050	—	2	1	no	—
11	C₃×#4050	—	2	1	no	—
12	C₃×#4050	C₄	1	2	yes	complemented
13	C₃×#4050	C₂²	1	2	yes	—
14	C₂×C₃×D₄₀	C₄	1	1	yes	characteristic, complemented
15	C₂×C₃×#677	—	2	1	no	—
16	C₃×C₅×#106	—	2	1	no	—
17	C₃×C₅×#106	C₂²	1	2	yes	complemented
18	C₃×#3944	—	2	1	no	—
19	C₃×#3944	C₂²	1	2	yes	complemented
20	C₂×C₃×#672	—	2	1	no	—
21	C₂×C₃×#360	—	5	1	no	maximal, Hall
22	C₂×#4050	C₂×C₃	1	1	yes	characteristic
23	C₂×C₅×#106	C₂×C₃	1	1	yes	characteristic, complemented
24	C₂×#3944	C₂×C₃	1	1	yes	characteristic, complemented
25	#64708	C₂×C₃	1	4	yes	direct product factor
26	C₂²×C₃×C₄×C₅	—	4	1	no	—
27	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
28	C₂×C₃×C₂²⋊D₅	—	4	1	no	—
29	C₃×#709	—	2	2	no	—
30	C₃×#709	—	2	2	no	—
31	C₃×#709	—	4	1	no	—
32	C₃×#709	—	4	1	no	—
33	C₂×C₃×D₂₀	—	2	1	no	—
34	C₂×C₃×C₄×D₅	—	4	1	no	—
35	C₂×C₃×Dic₁₀	—	2	1	no	—
36	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
37	C₂×C₃×C₅×C₈	C₂×C₄	1	1	yes	characteristic
38	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
39	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
40	C₂×C₃×C₅×C₈	D₄	1	1	yes	characteristic
41	C₂×C₃×C₅×C₈	C₂³	1	1	yes	characteristic
42	C₃×C₅×C₄⋊C₄	—	2	2	no	—
43	C₃×C₅×C₄⋊C₄	—	4	1	no	—
44	C₃×Dic₂₀	—	2	1	no	—
45	C₃×Dic₂₀	C₂×C₄	1	2	yes	complemented
46	C₃×D₄₀	—	2	1	no	—
47	C₃×D₄₀	C₂×C₄	1	2	yes	complemented
48	C₃×#677	—	2	2	no	—
49	C₃×#677	—	2	2	no	—
50	C₃×#672	—	2	2	no	—
51	C₂×C₃×#135	—	5	1	no	—
52	C₂×C₃×M₃₂	—	5	1	no	—
53	C₂×C₃×#106	D₅	1	1	yes	characteristic, complemented
54	C₃×#360	—	5	4	no	—
55	C₂×#709	—	2	1	no	—
56	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic
57	C₂×C₅×C₄⋊C₄	—	2	1	no	—
58	C₂×Dic₂₀	C₃×C₄	1	1	yes	characteristic, complemented
59	#4050	—	2	1	no	—
60	#4050	—	2	1	no	—
61	#4050	C₃×C₄	1	2	yes	complemented
62	#4050	C₂²×C₃	1	2	yes	—
63	C₂×D₄₀	C₃×C₄	1	1	yes	characteristic, complemented
64	C₂×#677	—	2	1	no	—
65	C₅×#106	—	2	1	no	—
66	C₅×#106	C₂²×C₃	1	2	yes	complemented
67	#3944	—	2	1	no	—
68	#3944	C₂²×C₃	1	2	yes	complemented
69	C₂×#672	—	2	1	no	—
70	C₂×#360	—	5	1	no	Sylow
71	C₂³×C₃×C₅	D₈	1	1	yes	characteristic
72	C₂²×C₃×D₅	—	4	1	no	—
73	C₂×C₃×C₄×C₅	—	4	2	no	—
74	C₂×C₃×C₄×C₅	—	8	2	no	—
75	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
76	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
77	C₂×C₃×C₄×C₅	D₈	1	1	yes	characteristic
78	C₂×C₃×C₄×C₅	SD₁₆	1	1	yes	characteristic
79	C₂×C₃×C₄×C₅	SD₁₆	1	1	yes	characteristic
80	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
81	C₃×C₂²⋊D₅	—	4	2	no	—
82	C₃×C₂²⋊D₅	—	4	2	no	—
83	C₂×C₃×Dic₅	—	4	1	no	—
84	C₃×D₂₀	—	2	2	no	—
85	C₃×D₂₀	—	4	1	no	—
86	C₃×C₄×D₅	—	4	2	no	—
87	C₃×C₄×D₅	—	4	2	no	—
88	C₃×Dic₁₀	—	2	2	no	—
89	C₃×Dic₁₀	—	4	1	no	—
90	C₃×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
91	C₃×C₅×C₈	C₂²⋊C₄	1	1	yes	characteristic
92	C₃×C₅×C₈	C₂²×C₄	1	1	yes	characteristic
93	C₃×C₅×C₈	C₂×D₄	1	1	yes	characteristic
94	C₂×C₃×#41	—	10	1	no	—
95	C₃×#135	—	5	2	no	—
96	C₃×#135	—	5	2	no	—
97	C₃×#135	—	10	1	no	—
98	C₃×#135	—	10	1	no	—
99	C₂×C₃×Q₁₆	—	5	1	no	—
100	C₂×C₃×SD₁₆	—	10	1	no	—
101	C₂×C₃×D₈	—	5	1	no	—
102	C₂²×C₃×C₈	C₂×D₅	1	1	yes	characteristic
103	C₂×C₃×C₄⋊C₄	—	2	1	no	—
104	C₃×M₃₂	—	5	2	no	—
105	C₃×M₃₂	—	10	1	no	—
106	C₂×C₃×C₁₆	—	10	1	no	—
107	C₃×#106	—	2	1	no	—
108	C₃×#106	C₂×D₅	1	2	yes	complemented
109	C₂²×C₄×C₅	—	4	1	no	—
110	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
111	C₂×C₂²⋊D₅	—	4	1	no	—
112	#709	—	2	2	no	—
113	#709	—	2	2	no	—
114	#709	—	4	1	no	—
115	#709	—	4	1	no	—
116	C₂×D₂₀	—	2	1	no	—
117	C₂×C₄×D₅	—	4	1	no	—
118	C₂×Dic₁₀	—	2	1	no	—
119	C₂×C₅×C₈	C₂×C₃×C₄	1	1	yes	characteristic
120	C₂×C₅×C₈	C₂×C₃×C₄	1	1	yes	characteristic
121	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
122	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
123	C₂×C₅×C₈	C₃×D₄	1	1	yes	characteristic
124	C₂×C₅×C₈	C₂³×C₃	1	1	yes	characteristic
125	C₅×C₄⋊C₄	—	2	2	no	—
126	C₅×C₄⋊C₄	—	4	1	no	—
127	Dic₂₀	—	2	1	no	—
128	Dic₂₀	C₂×C₃×C₄	1	2	yes	complemented
129	D₄₀	—	2	1	no	—
130	D₄₀	C₂×C₃×C₄	1	2	yes	complemented
131	#677	—	2	2	no	—
132	#677	—	2	2	no	—
133	#672	—	2	2	no	—
134	C₂×#135	—	5	1	no	—
135	C₂×M₃₂	—	5	1	no	—
136	C₂×#106	C₃×D₅	1	1	yes	characteristic, complemented
137	#360	—	5	4	no	—
138	C₂²×C₃×C₅	—	2	2	no	—
139	C₂²×C₃×C₅	#102	1	1	yes	characteristic
140	C₂²×C₃×C₅	#102	1	1	yes	characteristic
141	C₂²×C₃×C₅	C₂×D₈	1	1	yes	characteristic
142	C₂×C₃×D₅	—	4	2	no	—
143	C₂×C₃×D₅	—	8	2	no	—
144	C₃×C₄×C₅	—	8	2	no	—
145	C₃×C₄×C₅	#102	1	1	yes	characteristic
146	C₃×C₄×C₅	#102	1	1	yes	characteristic
147	C₃×C₄×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
148	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
149	C₃×Dic₅	—	4	2	no	—
150	C₃×#41	—	10	2	no	—
151	C₃×#41	—	10	2	no	—
152	C₃×#41	—	20	1	no	—
153	C₃×#41	—	20	1	no	—
154	C₂×C₃×Q₈	—	10	1	no	—
155	C₂×C₃×D₄	—	10	1	no	—
156	C₂×C₃×D₄	—	20	1	no	—
157	C₂²×C₃×C₄	—	4	1	no	—
158	C₂²×C₃×C₄	—	20	1	no	—
159	C₂²×C₃×C₄	C₂²⋊D₅	1	1	yes	characteristic
160	C₃×Q₁₆	—	5	2	no	—
161	C₃×Q₁₆	—	10	1	no	—
162	C₃×SD₁₆	—	10	2	no	—
163	C₃×SD₁₆	—	10	2	no	—
164	C₃×D₈	—	5	2	no	—
165	C₃×D₈	—	10	1	no	—
166	C₂×C₃×C₈	C₄×D₅	1	1	yes	characteristic
167	C₂×C₃×C₈	C₄×D₅	1	1	yes	characteristic
168	C₂×C₃×C₈	D₂₀	1	1	yes	characteristic
169	C₂×C₃×C₈	D₂₀	1	1	yes	characteristic
170	C₂×C₃×C₈	C₂²⋊D₅	1	1	yes	characteristic
171	C₂×C₃×C₈	C₂²×D₅	1	1	yes	characteristic
172	C₃×C₄⋊C₄	—	2	2	no	—
173	C₃×C₄⋊C₄	—	4	1	no	—
174	C₃×C₁₆	—	10	2	no	—
175	C₂³×C₅	C₃×D₈	1	1	yes	characteristic
176	C₂²×D₅	—	4	1	no	—
177	C₂×C₄×C₅	—	4	2	no	—
178	C₂×C₄×C₅	—	8	2	no	—
179	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
180	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
181	C₂×C₄×C₅	C₃×D₈	1	1	yes	characteristic
182	C₂×C₄×C₅	C₃×SD₁₆	1	1	yes	characteristic
183	C₂×C₄×C₅	C₃×SD₁₆	1	1	yes	characteristic
184	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
185	C₂²⋊D₅	—	4	2	no	—
186	C₂²⋊D₅	—	4	2	no	—
187	C₂×Dic₅	—	4	1	no	—
188	D₂₀	—	2	2	no	—
189	D₂₀	—	4	1	no	—
190	C₄×D₅	—	4	2	no	—
191	C₄×D₅	—	4	2	no	—
192	Dic₁₀	—	2	2	no	—
193	Dic₁₀	—	4	1	no	—
194	C₅×C₈	C₃×C₂²⋊C₄	1	1	yes	characteristic
195	C₅×C₈	C₃×C₂²⋊C₄	1	1	yes	characteristic
196	C₅×C₈	C₂²×C₃×C₄	1	1	yes	characteristic
197	C₅×C₈	C₂×C₃×D₄	1	1	yes	characteristic
198	C₂×#41	—	10	1	no	—
199	#135	—	5	2	no	—
200	#135	—	5	2	no	—
201	#135	—	10	1	no	—
202	#135	—	10	1	no	—
203	C₂×Q₁₆	—	5	1	no	—
204	C₂×SD₁₆	—	10	1	no	—
205	C₂×D₈	—	5	1	no	—
206	C₂²×C₈	C₂×C₃×D₅	1	1	yes	characteristic
207	C₂×C₄⋊C₄	—	2	1	no	—
208	M₃₂	—	5	2	no	—
209	M₃₂	—	10	1	no	—
210	C₂×C₁₆	—	10	1	no	—
211	#106	—	2	1	no	—
212	#106	C₂×C₃×D₅	1	2	yes	complemented
213	C₂×C₃×C₅	—	2	1	no	—
214	C₂×C₃×C₅	—	2	1	no	—
215	C₂×C₃×C₅	#360	1	2	yes	complemented
216	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
217	C₃×D₅	—	8	2	no	—
218	C₂³×C₃	—	20	1	no	—
219	C₂³×C₃	#686	1	1	yes	characteristic
220	C₃×Q₈	—	10	2	no	—
221	C₃×Q₈	—	20	1	no	—
222	C₃×D₄	—	10	2	no	—
223	C₃×D₄	—	20	2	no	—
224	C₃×D₄	—	20	2	no	—
225	C₃×D₄	—	20	1	no	—
226	C₂×C₃×C₄	—	4	2	no	—
227	C₂×C₃×C₄	—	8	2	no	—
228	C₂×C₃×C₄	—	20	1	no	—
229	C₂×C₃×C₄	—	20	2	no	—
230	C₂×C₃×C₄	—	20	2	no	—
231	C₂×C₃×C₄	#685	1	1	yes	characteristic
232	C₂×C₃×C₄	#685	1	1	yes	characteristic
233	C₂×C₃×C₄	#686	1	1	yes	characteristic
234	C₂×C₃×C₄	#688	1	1	yes	characteristic
235	C₂×C₃×C₄	#688	1	1	yes	characteristic
236	C₂×C₃×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
237	C₃×C₈	#685	1	1	yes	characteristic
238	C₃×C₈	#685	1	1	yes	characteristic
239	C₃×C₈	C₂×C₄×D₅	1	1	yes	characteristic
240	C₃×C₈	C₂×D₂₀	1	1	yes	characteristic
241	C₂²×C₅	—	2	2	no	—
242	C₂²×C₅	C₃×#102	1	1	yes	characteristic
243	C₂²×C₅	C₃×#102	1	1	yes	characteristic
244	C₂²×C₅	C₂×C₃×D₈	1	1	yes	characteristic
245	C₂×D₅	—	4	2	no	—
246	C₂×D₅	—	8	2	no	—
247	C₄×C₅	—	8	2	no	—
248	C₄×C₅	C₃×#102	1	1	yes	characteristic
249	C₄×C₅	C₃×#102	1	1	yes	characteristic
250	C₄×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
251	C₄×C₅	C₂×C₃×SD₁₆	1	1	yes	characteristic
252	Dic₅	—	4	2	no	—
253	#41	—	10	2	no	—
254	#41	—	10	2	no	—
255	#41	—	20	1	no	—
256	#41	—	20	1	no	—
257	C₂×Q₈	—	10	1	no	—
258	C₂×D₄	—	10	1	no	—
259	C₂×D₄	—	20	1	no	—
260	C₂²×C₄	—	4	1	no	—
261	C₂²×C₄	—	20	1	no	—
262	C₂²×C₄	C₃×C₂²⋊D₅	1	1	yes	characteristic
263	Q₁₆	—	5	2	no	—
264	Q₁₆	—	10	1	no	—
265	SD₁₆	—	10	2	no	—
266	SD₁₆	—	10	2	no	—
267	D₈	—	5	2	no	—
268	D₈	—	10	1	no	—
269	C₂×C₈	C₃×C₄×D₅	1	1	yes	characteristic
270	C₂×C₈	C₃×C₄×D₅	1	1	yes	characteristic
271	C₂×C₈	C₃×D₂₀	1	1	yes	characteristic
272	C₂×C₈	C₃×D₂₀	1	1	yes	characteristic
273	C₂×C₈	C₃×C₂²⋊D₅	1	1	yes	characteristic
274	C₂×C₈	C₂²×C₃×D₅	1	1	yes	characteristic
275	C₄⋊C₄	—	2	2	no	—
276	C₄⋊C₄	—	4	1	no	—
277	C₁₆	—	10	2	no	—
278	C₃×C₅	C₂×#360	1	1	yes	characteristic, complemented, Hall
279	C₂²×C₃	—	2	2	no	—
280	C₂²×C₃	—	20	2	no	—
281	C₂²×C₃	—	40	2	no	—
282	C₂²×C₃	#3941	1	1	yes	characteristic
283	C₂²×C₃	#3941	1	1	yes	characteristic
284	C₂²×C₃	C₂×#686	1	1	yes	characteristic
285	C₃×C₄	—	8	2	no	—
286	C₃×C₄	—	20	2	no	—
287	C₃×C₄	#3941	1	1	yes	characteristic
288	C₃×C₄	#3941	1	1	yes	characteristic
289	C₃×C₄	C₂×#685	1	1	yes	characteristic
290	C₃×C₄	C₂×#688	1	1	yes	characteristic
291	C₂×C₅	—	2	1	no	—
292	C₂×C₅	—	2	1	no	—
293	C₂×C₅	C₃×#360	1	2	yes	complemented
294	C₂×C₅	C₂×C₃×#102	1	1	yes	characteristic
295	D₅	—	8	2	no	—
296	C₂³	—	20	1	no	—
297	C₂³	C₃×#686	1	1	yes	characteristic
298	Q₈	—	10	2	no	—
299	Q₈	—	20	1	no	—
300	D₄	—	10	2	no	—
301	D₄	—	20	2	no	—
302	D₄	—	20	2	no	—
303	D₄	—	20	1	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	8	2	no	—
306	C₂×C₄	—	20	1	no	—
307	C₂×C₄	—	20	2	no	—
308	C₂×C₄	—	20	2	no	—
309	C₂×C₄	C₃×#685	1	1	yes	characteristic
310	C₂×C₄	C₃×#685	1	1	yes	characteristic
311	C₂×C₄	C₃×#686	1	1	yes	characteristic
312	C₂×C₄	C₃×#688	1	1	yes	characteristic
313	C₂×C₄	C₃×#688	1	1	yes	characteristic
314	C₂×C₄	C₂×C₃×C₂²⋊D₅	1	1	yes	characteristic
315	C₈	C₃×#685	1	1	yes	characteristic
316	C₈	C₃×#685	1	1	yes	characteristic
317	C₈	C₂×C₃×C₄×D₅	1	1	yes	characteristic
318	C₈	C₂×C₃×D₂₀	1	1	yes	characteristic
319	C₂×C₃	—	2	1	no	—
320	C₂×C₃	—	2	1	no	—
321	C₂×C₃	—	40	2	no	—
322	C₂×C₃	#64708	1	2	yes	direct product factor
323	C₂×C₃	C₂×#3941	1	1	yes	characteristic
324	C₅	C₂×C₃×#360	1	1	yes	characteristic, complemented, Sylow
325	C₂²	—	2	2	no	—
326	C₂²	—	20	2	no	—
327	C₂²	—	40	2	no	—
328	C₂²	C₃×#3941	1	1	yes	characteristic
329	C₂²	C₃×#3941	1	1	yes	characteristic
330	C₂²	C₂×C₃×#686	1	1	yes	characteristic
331	C₄	—	8	2	no	—
332	C₄	—	20	2	no	—
333	C₄	C₃×#3941	1	1	yes	characteristic
334	C₄	C₃×#3941	1	1	yes	characteristic
335	C₄	C₂×C₃×#685	1	1	yes	characteristic
336	C₄	C₂×C₃×#688	1	1	yes	characteristic
337	C₃	C₂×#64708	1	1	yes	characteristic, direct product factor, Sylow
338	C₂	—	2	1	no	—
339	C₂	—	2	1	no	—
340	C₂	—	40	2	no	—
341	C₂	C₃×#64708	1	2	yes	direct product factor
342	C₂	C₂×C₃×#3941	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	#3941
commutator	C₅×C₈	C₂²×C₃×C₄
Frattini	C₂×C₈	C₂²×C₃×D₅
Fitting	C₂×C₃×C₅×#106	C₂
socle	C₂²×C₃×C₅	#102
prime radical	C₂×C₃×#4050	C₂
cosocle	C₂×C₅×C₈	C₂³×C₃
hypercenter	C₂×C₃×#106	D₅
hypocenter	C₅	C₂×C₃×#360
LCS	G ▷ C₅×C₈ ▷ C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₂²×C₃×C₄ ◁ C₂²×C₃×C₈ ◁ C₂×C₃×#106

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₅×#106	C₂	semidirect
3. C₂×C₃×#3944	C₂	semidirect
4. C₃×#64708	C₂	direct (N × H)
5. C₂×#64708	C₃	direct (N × H)
9. C₂×C₃×Dic₂₀	C₄	semidirect
12. C₃×#4050	C₄	semidirect
14. C₂×C₃×D₄₀	C₄	semidirect
17. C₃×C₅×#106	C₂²	semidirect
19. C₃×#3944	C₂²	semidirect
23. C₂×C₅×#106	C₂×C₃	semidirect
24. C₂×#3944	C₂×C₃	semidirect
25. #64708	C₂×C₃	direct (N × H)
45. C₃×Dic₂₀	C₂×C₄	semidirect
47. C₃×D₄₀	C₂×C₄	semidirect
53. C₂×C₃×#106	D₅	semidirect
58. C₂×Dic₂₀	C₃×C₄	semidirect
61. #4050	C₃×C₄	semidirect
63. C₂×D₄₀	C₃×C₄	semidirect
66. C₅×#106	C₂²×C₃	semidirect
68. #3944	C₂²×C₃	semidirect
108. C₃×#106	C₂×D₅	semidirect
128. Dic₂₀	C₂×C₃×C₄	semidirect
130. D₄₀	C₂×C₃×C₄	semidirect
136. C₂×#106	C₃×D₅	semidirect
212. #106	C₂×C₃×D₅	semidirect
215. C₂×C₃×C₅	#360	semidirect
278. C₃×C₅	C₂×#360	semidirect
293. C₂×C₅	C₃×#360	semidirect
322. C₂×C₃	#64708	direct (N × H)
324. C₅	C₂×C₃×#360	semidirect
337. C₃	C₂×#64708	direct (N × H)
341. C₂	C₃×#64708	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×#4050	2
C₂×C₃×C₅×#106	2
C₂×C₃×#3944	2
C₃×#64708	2
C₂×#64708	3
C₂×C₃×#360	5

Subgroups — C2×C3×#64708 #14314084

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#64708 #14314084