Subgroups — C₂×C₃×#3131 #10679212

Order 768.

2222 conjugacy classes of subgroups.

The subgroup lattice has 360 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#533	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×#532	C₂	1	1	yes	maximal, characteristic
3	C₃×#3131	C₂	1	16	yes	maximal, direct product factor
4	C₂×C₃×#488	C₂	1	4	yes	maximal, complemented
5	C₂×C₃×#487	C₂	1	2	yes	maximal, complemented
6	C₂×C₃×#486	C₂	1	2	yes	maximal, complemented
7	C₂×C₃×#416	C₂	1	4	yes	maximal, complemented
8	C₂²×C₃×C₄×C₈	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#3131	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
10	C₂²×C₃×#41	C₂²	1	2	yes	—
11	C₂³×C₃×C₈	C₂²	1	2	yes	—
12	C₃×#533	—	2	4	no	—
13	C₃×#533	C₂²	1	8	yes	complemented
14	C₃×#532	—	2	4	no	—
15	C₃×#532	C₂²	1	8	yes	—
16	C₂×C₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
17	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	—
18	C₂×C₃×#127	C₂²	1	1	yes	characteristic
19	C₂×C₃×#125	C₂²	1	2	yes	—
20	C₂×C₃×#124	C₂²	1	2	yes	—
21	C₂×C₃×C₂²⋊Q₈	—	2	2	no	—
22	C₂×C₃×#121	—	2	2	no	—
23	C₂×C₃×C₄×Q₈	—	2	2	no	—
24	C₂×C₃×C₄×D₄	—	2	2	no	—
25	C₂×C₃×#117	C₂²	1	2	yes	—
26	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
27	C₃×#488	C₂²	1	32	yes	complemented
28	C₃×#487	C₂²	1	16	yes	complemented
29	C₃×#486	C₂²	1	16	yes	complemented
30	C₃×#416	C₂²	1	32	yes	complemented
31	C₂×C₃×#103	C₂²	1	8	yes	—
32	C₂×C₃×#102	C₂²	1	8	yes	—
33	C₂×C₃×C₄×C₈	C₂²	1	2	yes	—
34	C₂×C₃×C₄×C₈	C₂²	1	2	yes	—
35	C₂×C₃×C₄×C₈	C₂²	1	8	yes	complemented
36	C₂×#533	C₂×C₃	1	1	yes	characteristic, complemented
37	C₂×#532	C₂×C₃	1	1	yes	characteristic
38	#3131	C₂×C₃	1	16	yes	direct product factor
39	C₂×#488	C₂×C₃	1	4	yes	complemented
40	C₂×#487	C₂×C₃	1	2	yes	complemented
41	C₂×#486	C₂×C₃	1	2	yes	complemented
42	C₂×#416	C₂×C₃	1	4	yes	complemented
43	C₂²×C₄×C₈	C₂×C₃	1	1	yes	characteristic, complemented
44	C₂×C₃×#41	—	2	4	no	—
45	C₂×C₃×#41	—	2	16	no	—
46	C₂×C₃×#41	C₂³	1	8	yes	—
47	C₂²×C₃×Q₈	—	2	2	no	—
48	C₂²×C₃×Q₈	C₂³	1	2	yes	—
49	C₂²×C₃×D₄	—	2	2	no	—
50	C₂²×C₃×D₄	—	2	2	no	—
51	C₂²×C₃×D₄	C₂³	1	2	yes	—
52	C₂³×C₃×C₄	—	2	2	no	—
53	C₂³×C₃×C₄	D₄	1	2	yes	—
54	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
55	C₂²×C₃×C₈	—	2	8	no	—
56	C₂²×C₃×C₈	C₂³	1	4	yes	—
57	C₂²×C₃×C₈	C₂³	1	8	yes	—
58	C₃×C₄⋊Q₈	—	2	2	no	—
59	C₃×C₄⋊Q₈	—	2	4	no	—
60	C₃×C₄⋊Q₈	C₂³	1	4	yes	—
61	C₃×C₄⋊Q₈	C₂³	1	8	yes	—
62	C₃×#127	—	2	2	no	—
63	C₃×#127	C₂³	1	4	yes	—
64	C₃×#125	—	2	4	no	—
65	C₃×#125	C₂³	1	8	yes	—
66	C₃×#124	—	2	4	no	—
67	C₃×#124	C₂³	1	8	yes	—
68	C₃×C₂²⋊Q₈	—	2	16	no	—
69	C₃×#121	—	2	16	no	—
70	C₃×C₄×Q₈	—	2	16	no	—
71	C₃×C₄×D₄	—	2	16	no	—
72	C₃×#117	—	2	4	no	—
73	C₃×#117	C₂³	1	8	yes	—
74	C₂×C₃×C₄⋊C₄	—	2	2	no	—
75	C₂×C₃×C₄⋊C₄	—	2	4	no	—
76	C₂×C₃×C₄⋊C₄	—	2	2	no	—
77	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
78	C₂×C₃×C₂²⋊C₄	—	2	2	no	—
79	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
80	C₂×C₃×C₄²	—	2	2	no	—
81	C₂×C₃×C₄²	D₄	1	4	yes	—
82	C₂×C₃×C₄²	D₄	1	2	yes	—
83	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
84	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
85	C₂×C₃×C₄²	C₂³	1	4	yes	—
86	C₃×#103	C₂³	1	32	yes	—
87	C₃×#102	C₂³	1	32	yes	—
88	C₃×C₄×C₈	C₂³	1	8	yes	—
89	C₃×C₄×C₈	C₂³	1	8	yes	—
90	C₂²×#41	C₂²×C₃	1	2	yes	—
91	C₂³×C₈	C₂²×C₃	1	2	yes	—
92	#533	—	2	4	no	—
93	#533	C₂²×C₃	1	8	yes	complemented
94	#532	—	2	4	no	—
95	#532	C₂²×C₃	1	8	yes	—
96	C₂×C₄⋊Q₈	C₂²×C₃	1	1	yes	characteristic
97	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	—
98	C₂×#127	C₂²×C₃	1	1	yes	characteristic
99	C₂×#125	C₂²×C₃	1	2	yes	—
100	C₂×#124	C₂²×C₃	1	2	yes	—
101	C₂×C₂²⋊Q₈	—	2	2	no	—
102	C₂×#121	—	2	2	no	—
103	C₂×C₄×Q₈	—	2	2	no	—
104	C₂×C₄×D₄	—	2	2	no	—
105	C₂×#117	C₂²×C₃	1	2	yes	—
106	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
107	#488	C₂²×C₃	1	32	yes	complemented
108	#487	C₂²×C₃	1	16	yes	complemented
109	#486	C₂²×C₃	1	16	yes	complemented
110	#416	C₂²×C₃	1	32	yes	complemented
111	C₂×#103	C₂²×C₃	1	8	yes	—
112	C₂×#102	C₂²×C₃	1	8	yes	—
113	C₂×C₄×C₈	C₂²×C₃	1	2	yes	—
114	C₂×C₄×C₈	C₂²×C₃	1	2	yes	—
115	C₂×C₄×C₈	C₂²×C₃	1	8	yes	complemented
116	C₂⁴×C₃	—	2	2	no	—
117	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
118	C₃×#41	—	2	32	no	—
119	C₃×#41	—	4	16	no	—
120	C₂×C₃×Q₈	—	2	8	no	—
121	C₂×C₃×Q₈	—	2	2	no	—
122	C₂×C₃×Q₈	—	2	8	no	—
123	C₂×C₃×Q₈	—	4	8	no	—
124	C₂×C₃×Q₈	C₂⁴	1	4	yes	—
125	C₂×C₃×D₄	—	2	8	no	—
126	C₂×C₃×D₄	—	2	8	no	—
127	C₂×C₃×D₄	—	2	2	no	—
128	C₂×C₃×D₄	—	2	8	no	—
129	C₂×C₃×D₄	—	4	8	no	—
130	C₂×C₃×D₄	—	4	8	no	—
131	C₂×C₃×D₄	C₂⁴	1	4	yes	—
132	C₂²×C₃×C₄	—	2	8	no	—
133	C₂²×C₃×C₄	—	2	4	no	—
134	C₂²×C₃×C₄	—	2	2	no	—
135	C₂²×C₃×C₄	—	2	8	no	—
136	C₂²×C₃×C₄	—	4	8	no	—
137	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
138	C₂²×C₃×C₄	C₂×D₄	1	8	yes	—
139	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
140	C₂²×C₃×C₄	C₂×D₄	1	2	yes	—
141	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
142	C₂²×C₃×C₄	#41	1	8	yes	—
143	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
144	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
145	C₂×C₃×C₈	—	2	8	no	—
146	C₂×C₃×C₈	—	2	16	no	—
147	C₂×C₃×C₈	C₂⁴	1	8	yes	—
148	C₃×C₄⋊C₄	—	2	8	no	—
149	C₃×C₄⋊C₄	—	2	16	no	—
150	C₃×C₄⋊C₄	—	2	8	no	—
151	C₃×C₄⋊C₄	—	2	4	no	—
152	C₃×C₄⋊C₄	C₂⁴	1	8	yes	—
153	C₃×C₂²⋊C₄	—	2	8	no	—
154	C₃×C₂²⋊C₄	—	2	16	no	—
155	C₃×C₄²	—	2	8	no	—
156	C₃×C₄²	C₂×D₄	1	8	yes	—
157	C₃×C₄²	C₂×D₄	1	2	yes	—
158	C₃×C₄²	C₂×D₄	1	2	yes	—
159	C₃×C₄²	C₂⁴	1	2	yes	—
160	C₃×C₄²	C₂⁴	1	2	yes	—
161	C₂×#41	—	2	4	no	—
162	C₂×#41	—	2	16	no	—
163	C₂×#41	C₂³×C₃	1	8	yes	—
164	C₂²×Q₈	—	2	2	no	—
165	C₂²×Q₈	C₂³×C₃	1	2	yes	—
166	C₂²×D₄	—	2	2	no	—
167	C₂²×D₄	—	2	2	no	—
168	C₂²×D₄	C₂³×C₃	1	2	yes	—
169	C₂³×C₄	—	2	2	no	—
170	C₂³×C₄	C₃×D₄	1	2	yes	—
171	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
172	C₂²×C₈	—	2	8	no	—
173	C₂²×C₈	C₂³×C₃	1	4	yes	—
174	C₂²×C₈	C₂³×C₃	1	8	yes	—
175	C₄⋊Q₈	—	2	2	no	—
176	C₄⋊Q₈	—	2	4	no	—
177	C₄⋊Q₈	C₂³×C₃	1	4	yes	—
178	C₄⋊Q₈	C₂³×C₃	1	8	yes	—
179	#127	—	2	2	no	—
180	#127	C₂³×C₃	1	4	yes	—
181	#125	—	2	4	no	—
182	#125	C₂³×C₃	1	8	yes	—
183	#124	—	2	4	no	—
184	#124	C₂³×C₃	1	8	yes	—
185	C₂²⋊Q₈	—	2	16	no	—
186	#121	—	2	16	no	—
187	C₄×Q₈	—	2	16	no	—
188	C₄×D₄	—	2	16	no	—
189	#117	—	2	4	no	—
190	#117	C₂³×C₃	1	8	yes	—
191	C₂×C₄⋊C₄	—	2	2	no	—
192	C₂×C₄⋊C₄	—	2	4	no	—
193	C₂×C₄⋊C₄	—	2	2	no	—
194	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
195	C₂×C₂²⋊C₄	—	2	2	no	—
196	C₂×C₂²⋊C₄	—	2	4	no	—
197	C₂×C₄²	—	2	2	no	—
198	C₂×C₄²	C₃×D₄	1	2	yes	—
199	C₂×C₄²	C₃×D₄	1	4	yes	—
200	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
201	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
202	C₂×C₄²	C₂³×C₃	1	4	yes	—
203	#103	C₂³×C₃	1	32	yes	—
204	#102	C₂³×C₃	1	32	yes	—
205	C₄×C₈	C₂³×C₃	1	8	yes	—
206	C₄×C₈	C₂³×C₃	1	8	yes	—
207	C₂³×C₃	—	2	4	no	—
208	C₂³×C₃	—	2	4	no	—
209	C₂³×C₃	—	4	4	no	—
210	C₂³×C₃	—	4	8	no	—
211	C₂³×C₃	#124	1	4	yes	—
212	C₂³×C₃	C₂²×D₄	1	2	yes	—
213	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
214	C₃×Q₈	—	2	8	no	—
215	C₃×Q₈	—	4	4	no	—
216	C₃×Q₈	—	4	16	no	—
217	C₃×D₄	—	2	8	no	—
218	C₃×D₄	—	4	16	no	—
219	C₃×D₄	—	4	4	no	—
220	C₃×D₄	—	4	16	no	—
221	C₂×C₃×C₄	—	2	4	no	—
222	C₂×C₃×C₄	—	2	16	no	—
223	C₂×C₃×C₄	—	2	8	no	—
224	C₂×C₃×C₄	—	2	4	no	—
225	C₂×C₃×C₄	—	4	4	no	—
226	C₂×C₃×C₄	—	4	8	no	—
227	C₂×C₃×C₄	—	4	16	no	—
228	C₂×C₃×C₄	#124	1	4	yes	—
229	C₂×C₃×C₄	#124	1	8	yes	—
230	C₂×C₃×C₄	#135	1	8	yes	—
231	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
232	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
233	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
234	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
235	C₂×C₃×C₄	C₂×#41	1	4	yes	—
236	C₂×C₃×C₄	C₂×#41	1	8	yes	—
237	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
238	C₃×C₈	—	2	8	no	—
239	C₂⁴	—	2	2	no	—
240	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
241	#41	—	2	32	no	—
242	#41	—	4	16	no	—
243	C₂×Q₈	—	2	8	no	—
244	C₂×Q₈	—	2	2	no	—
245	C₂×Q₈	—	2	8	no	—
246	C₂×Q₈	—	4	8	no	—
247	C₂×Q₈	C₂⁴×C₃	1	4	yes	—
248	C₂×D₄	—	2	8	no	—
249	C₂×D₄	—	2	8	no	—
250	C₂×D₄	—	2	2	no	—
251	C₂×D₄	—	2	8	no	—
252	C₂×D₄	—	4	8	no	—
253	C₂×D₄	—	4	8	no	—
254	C₂×D₄	C₂⁴×C₃	1	4	yes	—
255	C₂²×C₄	—	2	8	no	—
256	C₂²×C₄	—	2	4	no	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	—	2	8	no	—
259	C₂²×C₄	—	4	8	no	—
260	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
261	C₂²×C₄	C₂×C₃×D₄	1	8	yes	—
262	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
263	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
264	C₂²×C₄	C₂×C₃×D₄	1	2	yes	—
265	C₂²×C₄	C₃×#41	1	8	yes	—
266	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
267	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
268	C₂×C₈	—	2	8	no	—
269	C₂×C₈	—	2	16	no	—
270	C₂×C₈	C₂⁴×C₃	1	8	yes	—
271	C₄⋊C₄	—	2	8	no	—
272	C₄⋊C₄	—	2	16	no	—
273	C₄⋊C₄	—	2	8	no	—
274	C₄⋊C₄	—	2	4	no	—
275	C₄⋊C₄	C₂⁴×C₃	1	8	yes	—
276	C₂²⋊C₄	—	2	8	no	—
277	C₂²⋊C₄	—	2	16	no	—
278	C₄²	—	2	8	no	—
279	C₄²	C₂×C₃×D₄	1	8	yes	—
280	C₄²	C₂×C₃×D₄	1	2	yes	—
281	C₄²	C₂×C₃×D₄	1	2	yes	—
282	C₄²	C₂⁴×C₃	1	2	yes	—
283	C₄²	C₂⁴×C₃	1	2	yes	—
284	C₂²×C₃	—	2	8	no	—
285	C₂²×C₃	—	2	4	no	—
286	C₂²×C₃	—	4	4	no	—
287	C₂²×C₃	—	4	8	no	—
288	C₂²×C₃	—	8	8	no	—
289	C₂²×C₃	C₂×#124	1	4	yes	—
290	C₂²×C₃	C₂×#124	1	2	yes	—
291	C₂²×C₃	C₂×#135	1	4	yes	—
292	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
293	C₃×C₄	—	2	4	no	—
294	C₃×C₄	—	4	4	no	—
295	C₃×C₄	—	4	8	no	—
296	C₃×C₄	C₂×#124	1	4	yes	—
297	C₃×C₄	C₂×#124	1	2	yes	—
298	C₃×C₄	C₂×#135	1	8	yes	—
299	C₃×C₄	C₂²×#41	1	2	yes	—
300	C₂³	—	2	4	no	—
301	C₂³	—	2	4	no	—
302	C₂³	—	4	8	no	—
303	C₂³	—	4	4	no	—
304	C₂³	C₃×#124	1	4	yes	—
305	C₂³	C₂²×C₃×D₄	1	2	yes	—
306	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
307	Q₈	—	2	8	no	—
308	Q₈	—	4	16	no	—
309	Q₈	—	4	4	no	—
310	D₄	—	2	8	no	—
311	D₄	—	4	16	no	—
312	D₄	—	4	16	no	—
313	D₄	—	4	4	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	16	no	—
316	C₂×C₄	—	2	8	no	—
317	C₂×C₄	—	2	4	no	—
318	C₂×C₄	—	4	8	no	—
319	C₂×C₄	—	4	4	no	—
320	C₂×C₄	—	4	16	no	—
321	C₂×C₄	C₃×#124	1	4	yes	—
322	C₂×C₄	C₃×#124	1	8	yes	—
323	C₂×C₄	C₃×#135	1	8	yes	—
324	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
325	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
326	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
327	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
328	C₂×C₄	C₂×C₃×#41	1	4	yes	—
329	C₂×C₄	C₂×C₃×#41	1	8	yes	—
330	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
331	C₈	—	2	8	no	—
332	C₂×C₃	—	2	4	no	—
333	C₂×C₃	—	8	4	no	—
334	C₂×C₃	#3131	1	4	yes	direct product factor
335	C₂×C₃	C₂²×#124	1	1	yes	characteristic
336	C₂×C₃	C₂²×#135	1	2	yes	—
337	C₂²	—	2	8	no	—
338	C₂²	—	2	4	no	—
339	C₂²	—	4	4	no	—
340	C₂²	—	4	8	no	—
341	C₂²	—	8	8	no	—
342	C₂²	C₂×C₃×#124	1	4	yes	—
343	C₂²	C₂×C₃×#124	1	2	yes	—
344	C₂²	C₂×C₃×#135	1	4	yes	—
345	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
346	C₄	—	2	4	no	—
347	C₄	—	4	4	no	—
348	C₄	—	4	8	no	—
349	C₄	C₂×C₃×#124	1	4	yes	—
350	C₄	C₂×C₃×#124	1	2	yes	—
351	C₄	C₂×C₃×#135	1	8	yes	—
352	C₄	C₂²×C₃×#41	1	2	yes	—
353	C₃	C₂×#3131	1	1	yes	characteristic, direct product factor, Sylow
354	C₂	—	2	4	no	—
355	C₂	—	8	4	no	—
356	C₂	C₃×#3131	1	4	yes	direct product factor
357	C₂	C₂²×C₃×#124	1	1	yes	characteristic
358	C₂	C₂²×C₃×#135	1	2	yes	—

	subgroup	G/H
center	C₂²×C₃×C₄	C₂×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
socle	C₂³×C₃	C₂²×D₄
prime radical	C₂×C₃×#532	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₄ ◁ C₂²×C₃×C₄² ◁ G

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×#533	C₂	semidirect
3. C₃×#3131	C₂	direct (N × H)
4. C₂×C₃×#488	C₂	semidirect
5. C₂×C₃×#487	C₂	semidirect
6. C₂×C₃×#486	C₂	semidirect
7. C₂×C₃×#416	C₂	semidirect
8. C₂²×C₃×C₄×C₈	C₂	semidirect
9. C₂×#3131	C₃	direct (N × H)
13. C₃×#533	C₂²	semidirect
27. C₃×#488	C₂²	semidirect
28. C₃×#487	C₂²	semidirect
29. C₃×#486	C₂²	semidirect
30. C₃×#416	C₂²	semidirect
35. C₂×C₃×C₄×C₈	C₂²	semidirect
36. C₂×#533	C₂×C₃	semidirect
38. #3131	C₂×C₃	direct (N × H)
39. C₂×#488	C₂×C₃	semidirect
40. C₂×#487	C₂×C₃	semidirect
41. C₂×#486	C₂×C₃	semidirect
42. C₂×#416	C₂×C₃	semidirect
43. C₂²×C₄×C₈	C₂×C₃	semidirect
93. #533	C₂²×C₃	semidirect
107. #488	C₂²×C₃	semidirect
108. #487	C₂²×C₃	semidirect
109. #486	C₂²×C₃	semidirect
110. #416	C₂²×C₃	semidirect
115. C₂×C₄×C₈	C₂²×C₃	semidirect
334. C₂×C₃	#3131	direct (N × H)
353. C₃	C₂×#3131	direct (N × H)
356. C₂	C₃×#3131	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×#533	2
C₂×C₃×#532	2
C₃×#3131	2
C₂×C₃×#488	2
C₂×C₃×#487	2
C₂×C₃×#486	2
C₂×C₃×#416	2
C₂²×C₃×C₄×C₈	2
C₂×#3131	3

Subgroups — C2×C3×#3131 #10679212

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃×#3131 #10679212