Subgroups — C₃×D₄×D₁₂ #10595646

Order 576.

903 conjugacy classes of subgroups.

The subgroup lattice has 306 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×D₃×D₄	C₂	1	2	yes	maximal, complemented
2	C₂²×C₃×D₁₂	C₂	1	2	yes	maximal, complemented
3	C₃²×C₄×D₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#930	C₂	1	2	yes	maximal, complemented
5	C₃×#895	C₂	1	2	yes	maximal, complemented
6	C₃×#882	C₂	1	4	yes	maximal, complemented
7	C₃×#874	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₄×D₁₂	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×D₄²	—	3	1	no	maximal
10	D₄×D₁₂	C₃	1	1	yes	maximal, characteristic, direct product factor
11	C₂³×C₃×D₃	C₂²	1	4	yes	complemented
12	C₂×C₃²×D₄	C₂²	1	1	yes	characteristic
13	C₂²×C₃²×C₄	C₂²	1	2	yes	complemented
14	C₂×C₃×#67	C₂²	1	4	yes	complemented
15	C₃×D₃×D₄	—	2	8	no	—
16	C₂×C₃×D₁₂	—	2	8	no	—
17	C₂×C₃×D₁₂	C₂²	1	1	yes	characteristic
18	C₂×C₃×D₁₂	C₂²	1	4	yes	complemented
19	C₂×C₃×D₁₂	C₂²	1	2	yes	complemented
20	C₂×C₃×D₁₂	C₂²	1	2	yes	complemented
21	C₂×C₃×D₁₂	C₂²	1	2	yes	complemented
22	C₂×C₃×C₄×D₃	C₂²	1	2	yes	complemented
23	C₃²×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
24	C₃²×C₂²⋊C₄	C₂²	1	2	yes	complemented
25	C₃²×C₄²	C₂²	1	1	yes	characteristic, complemented
26	C₃×(C₂×D₃)⋊C₄	C₂²	1	2	yes	complemented
27	C₃×(C₂×D₃)⋊C₄	C₂²	1	4	yes	complemented
28	C₃×C₄⋊Dic₃	C₂²	1	1	yes	characteristic, complemented
29	C₂²×C₃×D₄	—	3	2	no	—
30	C₂²×C₃×D₄	—	3	2	no	—
31	C₂×D₃×D₄	C₂×C₃	1	2	yes	complemented
32	C₂²×D₁₂	C₂×C₃	1	2	yes	complemented
33	C₃×#127	—	3	1	no	—
34	C₃×#121	—	3	2	no	—
35	C₃×#121	—	3	2	no	—
36	C₃×#120	—	3	4	no	—
37	C₃×C₄×D₄	—	2	1	no	—
38	C₃×C₄×D₄	—	3	1	no	—
39	C₃×C₄×D₄	D₃	1	1	yes	characteristic, complemented
40	C₃×C₄×D₄	C₂×C₃	1	1	yes	characteristic, complemented
41	#930	C₂×C₃	1	2	yes	complemented
42	#895	C₂×C₃	1	2	yes	complemented
43	#882	C₂×C₃	1	4	yes	complemented
44	#874	C₂×C₃	1	1	yes	characteristic, complemented
45	C₄×D₁₂	C₂×C₃	1	1	yes	characteristic, complemented
46	C₂³×C₃²	C₂³	1	2	yes	—
47	C₂²×C₃×D₃	—	2	8	no	—
48	C₂²×C₃×D₃	—	2	8	no	—
49	C₂²×C₃×D₃	—	4	4	no	—
50	C₂²×C₃×D₃	C₂³	1	4	yes	—
51	C₂²×C₃×D₃	C₂³	1	2	yes	—
52	C₃²×D₄	D₄	1	4	yes	complemented
53	C₂×C₃²×C₄	—	2	4	no	—
54	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
55	C₂×C₃²×C₄	C₂³	1	2	yes	—
56	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
57	C₂×C₃²×C₄	C₂³	1	1	yes	characteristic
58	C₃×#67	—	2	8	no	—
59	C₂×C₃×Dic₃	C₂³	1	2	yes	—
60	C₃×D₁₂	—	2	8	no	—
61	C₃×D₁₂	—	2	4	no	—
62	C₃×D₁₂	—	2	4	no	—
63	C₃×D₁₂	—	4	2	no	—
64	C₃×D₁₂	D₄	1	4	yes	direct product factor
65	C₃×C₄×D₃	—	2	4	no	—
66	D₄²	—	3	1	no	Sylow
67	C₂⁴×C₃	—	3	4	no	—
68	C₂³×D₃	C₂²×C₃	1	4	yes	complemented
69	C₂×C₃×D₄	—	2	1	no	—
70	C₂×C₃×D₄	—	3	4	no	—
71	C₂×C₃×D₄	—	3	1	no	—
72	C₂×C₃×D₄	—	3	4	no	—
73	C₂×C₃×D₄	—	3	2	no	—
74	C₂×C₃×D₄	—	3	2	no	—
75	C₂×C₃×D₄	—	3	2	no	—
76	C₂×C₃×D₄	—	6	8	no	—
77	C₂×C₃×D₄	—	6	8	no	—
78	C₂×C₃×D₄	C₂×D₃	1	1	yes	characteristic
79	C₂×C₃×D₄	C₂²×C₃	1	1	yes	characteristic
80	C₂²×C₃×C₄	—	2	2	no	—
81	C₂²×C₃×C₄	—	3	2	no	—
82	C₂²×C₃×C₄	C₂×D₃	1	2	yes	complemented
83	C₂²×C₃×C₄	C₂²×C₃	1	2	yes	complemented
84	C₂×#67	C₂²×C₃	1	4	yes	complemented
85	D₃×D₄	—	2	8	no	—
86	C₂×D₁₂	—	2	8	no	—
87	C₂×D₁₂	C₂²×C₃	1	1	yes	characteristic
88	C₂×D₁₂	C₂²×C₃	1	2	yes	complemented
89	C₂×D₁₂	C₂²×C₃	1	2	yes	complemented
90	C₂×D₁₂	C₂²×C₃	1	4	yes	complemented
91	C₂×D₁₂	C₂²×C₃	1	2	yes	complemented
92	C₂×C₄×D₃	C₂²×C₃	1	2	yes	complemented
93	C₃×C₄⋊C₄	—	2	1	no	—
94	C₃×C₄⋊C₄	—	3	1	no	—
95	C₃×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic, complemented
96	C₃×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
97	C₃×C₂²⋊C₄	—	2	2	no	—
98	C₃×C₂²⋊C₄	—	3	2	no	—
99	C₃×C₂²⋊C₄	—	3	4	no	—
100	C₃×C₂²⋊C₄	C₂×D₃	1	2	yes	complemented
101	C₃×C₂²⋊C₄	C₂²×C₃	1	2	yes	complemented
102	C₃×C₄²	—	2	1	no	—
103	C₃×C₄²	C₂×D₃	1	1	yes	characteristic, complemented
104	C₃×C₄²	C₂²×C₃	1	1	yes	characteristic, complemented
105	(C₂×D₃)⋊C₄	C₂²×C₃	1	2	yes	complemented
106	(C₂×D₃)⋊C₄	C₂²×C₃	1	4	yes	complemented
107	C₄⋊Dic₃	C₂²×C₃	1	1	yes	characteristic, complemented
108	C₂²×C₃²	—	2	2	no	—
109	C₂²×C₃²	—	2	2	no	—
110	C₂²×C₃²	C₂×D₄	1	4	yes	complemented
111	C₂²×C₃²	C₂⁴	1	1	yes	characteristic
112	C₂×C₃×D₃	—	2	2	no	—
113	C₂×C₃×D₃	—	2	2	no	—
114	C₂×C₃×D₃	—	2	4	no	—
115	C₂×C₃×D₃	—	2	4	no	—
116	C₂×C₃×D₃	—	2	4	no	—
117	C₂×C₃×D₃	—	4	16	no	—
118	C₂×C₃×D₃	C₂×D₄	1	4	yes	complemented
119	C₃²×C₄	—	2	2	no	—
120	C₃²×C₄	—	2	1	no	—
121	C₃²×C₄	C₂×D₄	1	2	yes	complemented
122	C₃²×C₄	C₂×D₄	1	2	yes	complemented
123	C₃×Dic₃	—	2	2	no	—
124	C₂²×D₄	—	3	2	no	—
125	C₂²×D₄	—	3	2	no	—
126	#127	—	3	1	no	—
127	#121	—	3	2	no	—
128	#121	—	3	2	no	—
129	#120	—	3	4	no	—
130	C₄×D₄	—	3	1	no	—
131	C₄×D₄	C₃×D₃	1	1	yes	characteristic, complemented
132	C₂³×C₃	—	2	2	no	—
133	C₂³×C₃	—	3	2	no	—
134	C₂³×C₃	—	3	4	no	—
135	C₂³×C₃	—	6	8	no	—
136	C₂³×C₃	—	6	8	no	—
137	C₂³×C₃	—	12	4	no	—
138	C₂³×C₃	C₂²×D₃	1	2	yes	—
139	C₂³×C₃	C₂³×C₃	1	2	yes	—
140	C₂²×D₃	—	2	8	no	—
141	C₂²×D₃	—	2	8	no	—
142	C₂²×D₃	—	4	4	no	—
143	C₂²×D₃	C₂³×C₃	1	4	yes	—
144	C₂²×D₃	C₂³×C₃	1	2	yes	—
145	C₃×D₄	—	2	4	no	—
146	C₃×D₄	—	3	4	no	—
147	C₃×D₄	—	6	8	no	—
148	C₃×D₄	—	6	8	no	—
149	C₃×D₄	—	6	4	no	—
150	C₃×D₄	—	6	4	no	—
151	C₃×D₄	—	12	2	no	—
152	C₃×D₄	D₁₂	1	4	yes	direct product factor
153	C₃×D₄	C₃×D₄	1	4	yes	complemented
154	C₂×C₃×C₄	—	2	4	no	—
155	C₂×C₃×C₄	—	2	4	no	—
156	C₂×C₃×C₄	—	2	1	no	—
157	C₂×C₃×C₄	—	2	1	no	—
158	C₂×C₃×C₄	—	2	1	no	—
159	C₂×C₃×C₄	—	2	2	no	—
160	C₂×C₃×C₄	—	3	2	no	—
161	C₂×C₃×C₄	—	4	4	no	—
162	C₂×C₃×C₄	—	6	4	no	—
163	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
164	C₂×C₃×C₄	C₂²×D₃	1	2	yes	—
165	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
166	C₂×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
167	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
168	C₂×C₃×C₄	C₂³×C₃	1	2	yes	—
169	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
170	C₂×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
171	#67	—	2	8	no	—
172	C₂×Dic₃	C₂³×C₃	1	2	yes	—
173	D₁₂	—	2	8	no	—
174	D₁₂	—	2	4	no	—
175	D₁₂	—	2	4	no	—
176	D₁₂	—	4	2	no	—
177	D₁₂	C₃×D₄	1	4	yes	direct product factor
178	C₄×D₃	—	2	4	no	—
179	C₂×C₃²	—	2	4	no	—
180	C₂×C₃²	C₂²×D₄	1	1	yes	characteristic
181	C₂×C₃²	C₂²×D₄	1	1	yes	characteristic
182	C₂×C₃²	H(5,𝔽₂)	1	1	yes	characteristic
183	C₃×D₃	—	2	4	no	—
184	C₃×D₃	—	4	4	no	—
185	C₂⁴	—	3	4	no	—
186	C₂×D₄	—	3	4	no	—
187	C₂×D₄	—	3	1	no	—
188	C₂×D₄	—	3	4	no	—
189	C₂×D₄	—	3	2	no	—
190	C₂×D₄	—	3	2	no	—
191	C₂×D₄	—	3	2	no	—
192	C₂×D₄	—	6	8	no	—
193	C₂×D₄	—	6	8	no	—
194	C₂×D₄	C₂×C₃×D₃	1	1	yes	characteristic
195	C₂²×C₄	—	3	2	no	—
196	C₂²×C₄	C₂×C₃×D₃	1	2	yes	complemented
197	C₄⋊C₄	—	3	1	no	—
198	C₄⋊C₄	C₂×C₃×D₃	1	1	yes	characteristic, complemented
199	C₂²⋊C₄	—	3	2	no	—
200	C₂²⋊C₄	—	3	4	no	—
201	C₂²⋊C₄	C₂×C₃×D₃	1	2	yes	complemented
202	C₄²	C₂×C₃×D₃	1	1	yes	characteristic, complemented
203	C₂²×C₃	—	2	2	no	—
204	C₂²×C₃	—	2	2	no	—
205	C₂²×C₃	—	2	2	no	—
206	C₂²×C₃	—	2	2	no	—
207	C₂²×C₃	—	2	1	no	—
208	C₂²×C₃	—	2	4	no	—
209	C₂²×C₃	—	3	4	no	—
210	C₂²×C₃	—	4	2	no	—
211	C₂²×C₃	—	4	2	no	—
212	C₂²×C₃	—	6	2	no	—
213	C₂²×C₃	—	6	2	no	—
214	C₂²×C₃	—	6	4	no	—
215	C₂²×C₃	—	6	4	no	—
216	C₂²×C₃	—	6	4	no	—
217	C₂²×C₃	—	12	16	no	—
218	C₂²×C₃	C₂×D₁₂	1	4	yes	complemented
219	C₂²×C₃	C₂×C₃×D₄	1	4	yes	complemented
220	C₂²×C₃	C₂³×D₃	1	1	yes	characteristic
221	C₂²×C₃	C₂⁴×C₃	1	1	yes	characteristic
222	C₂×D₃	—	2	2	no	—
223	C₂×D₃	—	2	2	no	—
224	C₂×D₃	—	2	4	no	—
225	C₂×D₃	—	2	4	no	—
226	C₂×D₃	—	2	4	no	—
227	C₂×D₃	—	4	16	no	—
228	C₂×D₃	C₂×C₃×D₄	1	4	yes	complemented
229	C₃×C₄	—	2	2	no	—
230	C₃×C₄	—	2	1	no	—
231	C₃×C₄	—	2	2	no	—
232	C₃×C₄	—	2	1	no	—
233	C₃×C₄	—	2	2	no	—
234	C₃×C₄	—	2	2	no	—
235	C₃×C₄	—	4	2	no	—
236	C₃×C₄	—	4	1	no	—
237	C₃×C₄	—	6	2	no	—
238	C₃×C₄	C₂×D₁₂	1	2	yes	complemented
239	C₃×C₄	D₃×D₄	1	2	yes	complemented
240	C₃×C₄	C₂×C₃×D₄	1	2	yes	complemented
241	C₃×C₄	C₂×C₃×D₄	1	2	yes	complemented
242	Dic₃	—	2	2	no	—
243	C₃²	D₄²	1	1	yes	characteristic, complemented, Sylow
244	C₂³	—	3	2	no	—
245	C₂³	—	3	4	no	—
246	C₂³	—	6	8	no	—
247	C₂³	—	6	8	no	—
248	C₂³	—	12	4	no	—
249	C₂³	C₂²×C₃×D₃	1	2	yes	—
250	D₄	—	3	4	no	—
251	D₄	—	6	8	no	—
252	D₄	—	6	8	no	—
253	D₄	—	6	4	no	—
254	D₄	—	6	4	no	—
255	D₄	—	12	2	no	—
256	D₄	C₃×D₁₂	1	4	yes	direct product factor
257	C₂×C₄	—	2	4	no	—
258	C₂×C₄	—	3	2	no	—
259	C₂×C₄	—	6	4	no	—
260	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
261	C₂×C₄	C₂²×C₃×D₃	1	2	yes	—
262	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
263	C₂×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
264	C₂×C₃	—	2	4	no	—
265	C₂×C₃	—	2	4	no	—
266	C₂×C₃	—	2	1	no	—
267	C₂×C₃	—	2	1	no	—
268	C₂×C₃	—	2	1	no	—
269	C₂×C₃	—	4	4	no	—
270	C₂×C₃	—	6	4	no	—
271	C₂×C₃	—	12	4	no	—
272	C₂×C₃	C₂²×D₁₂	1	1	yes	characteristic
273	C₂×C₃	C₂×D₃×D₄	1	1	yes	characteristic
274	C₂×C₃	#1009	1	1	yes	characteristic
275	C₂×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
276	C₂×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
277	C₂×C₃	C₃×H(5,𝔽₂)	1	1	yes	characteristic
278	D₃	—	2	4	no	—
279	D₃	—	4	4	no	—
280	C₂²	—	2	2	no	—
281	C₂²	—	2	2	no	—
282	C₂²	—	3	4	no	—
283	C₂²	—	6	2	no	—
284	C₂²	—	6	2	no	—
285	C₂²	—	6	4	no	—
286	C₂²	—	6	4	no	—
287	C₂²	—	6	4	no	—
288	C₂²	—	12	16	no	—
289	C₂²	C₂×C₃×D₁₂	1	4	yes	complemented
290	C₂²	C₂³×C₃×D₃	1	1	yes	characteristic
291	C₄	—	2	2	no	—
292	C₄	—	2	1	no	—
293	C₄	—	6	2	no	—
294	C₄	C₂×C₃×D₁₂	1	2	yes	complemented
295	C₄	C₃×D₃×D₄	1	2	yes	complemented
296	C₃	—	2	1	no	—
297	C₃	D₄×D₁₂	1	1	yes	characteristic, direct product factor
298	C₃	C₃×D₄²	1	1	yes	characteristic, complemented
299	C₂	—	2	4	no	—
300	C₂	—	6	4	no	—
301	C₂	—	12	4	no	—
302	C₂	C₂²×C₃×D₁₂	1	1	yes	characteristic
303	C₂	C₂×C₃×D₃×D₄	1	1	yes	characteristic
304	C₂	C₃×#1009	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂³×D₃
commutator, cosocle	C₂²×C₃	C₂⁴×C₃
Frattini	C₂²	C₂³×C₃×D₃
Fitting	C₃²×C₄×D₄	C₂
socle	C₂²×C₃²	C₂⁴
hypercenter	C₃×C₄×D₄	D₃
hypocenter	C₃	C₃×D₄²
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂×C₃×D₃×D₄	C₂	semidirect
2. C₂²×C₃×D₁₂	C₂	semidirect
3. C₃²×C₄×D₄	C₂	semidirect
4. C₃×#930	C₂	semidirect
5. C₃×#895	C₂	semidirect
6. C₃×#882	C₂	semidirect
7. C₃×#874	C₂	semidirect
8. C₃×C₄×D₁₂	C₂	semidirect
10. D₄×D₁₂	C₃	direct (N × H)
11. C₂³×C₃×D₃	C₂²	semidirect
13. C₂²×C₃²×C₄	C₂²	semidirect
14. C₂×C₃×#67	C₂²	semidirect
18. C₂×C₃×D₁₂	C₂²	semidirect
19. C₂×C₃×D₁₂	C₂²	semidirect
20. C₂×C₃×D₁₂	C₂²	semidirect
21. C₂×C₃×D₁₂	C₂²	semidirect
22. C₂×C₃×C₄×D₃	C₂²	semidirect
23. C₃²×C₄⋊C₄	C₂²	semidirect
24. C₃²×C₂²⋊C₄	C₂²	semidirect
25. C₃²×C₄²	C₂²	semidirect
26. C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
27. C₃×(C₂×D₃)⋊C₄	C₂²	semidirect
28. C₃×C₄⋊Dic₃	C₂²	semidirect
31. C₂×D₃×D₄	C₂×C₃	semidirect
32. C₂²×D₁₂	C₂×C₃	semidirect
39. C₃×C₄×D₄	D₃	semidirect
40. C₃×C₄×D₄	C₂×C₃	semidirect
41. #930	C₂×C₃	semidirect
42. #895	C₂×C₃	semidirect
43. #882	C₂×C₃	semidirect
44. #874	C₂×C₃	semidirect
45. C₄×D₁₂	C₂×C₃	semidirect
52. C₃²×D₄	D₄	semidirect
64. C₃×D₁₂	D₄	direct (N × H)
68. C₂³×D₃	C₂²×C₃	semidirect
82. C₂²×C₃×C₄	C₂×D₃	semidirect
83. C₂²×C₃×C₄	C₂²×C₃	semidirect
84. C₂×#67	C₂²×C₃	semidirect
88. C₂×D₁₂	C₂²×C₃	semidirect
89. C₂×D₁₂	C₂²×C₃	semidirect
90. C₂×D₁₂	C₂²×C₃	semidirect
91. C₂×D₁₂	C₂²×C₃	semidirect
92. C₂×C₄×D₃	C₂²×C₃	semidirect
95. C₃×C₄⋊C₄	C₂×D₃	semidirect
96. C₃×C₄⋊C₄	C₂²×C₃	semidirect
100. C₃×C₂²⋊C₄	C₂×D₃	semidirect
101. C₃×C₂²⋊C₄	C₂²×C₃	semidirect
103. C₃×C₄²	C₂×D₃	semidirect
104. C₃×C₄²	C₂²×C₃	semidirect
105. (C₂×D₃)⋊C₄	C₂²×C₃	semidirect
106. (C₂×D₃)⋊C₄	C₂²×C₃	semidirect
107. C₄⋊Dic₃	C₂²×C₃	semidirect
110. C₂²×C₃²	C₂×D₄	semidirect
118. C₂×C₃×D₃	C₂×D₄	semidirect
121. C₃²×C₄	C₂×D₄	semidirect
122. C₃²×C₄	C₂×D₄	semidirect
131. C₄×D₄	C₃×D₃	semidirect
152. C₃×D₄	D₁₂	direct (N × H)
153. C₃×D₄	C₃×D₄	semidirect
177. D₁₂	C₃×D₄	direct (N × H)
196. C₂²×C₄	C₂×C₃×D₃	semidirect
198. C₄⋊C₄	C₂×C₃×D₃	semidirect
201. C₂²⋊C₄	C₂×C₃×D₃	semidirect
202. C₄²	C₂×C₃×D₃	semidirect
218. C₂²×C₃	C₂×D₁₂	semidirect
219. C₂²×C₃	C₂×C₃×D₄	semidirect
228. C₂×D₃	C₂×C₃×D₄	semidirect
238. C₃×C₄	C₂×D₁₂	semidirect
239. C₃×C₄	D₃×D₄	semidirect
240. C₃×C₄	C₂×C₃×D₄	semidirect
241. C₃×C₄	C₂×C₃×D₄	semidirect
243. C₃²	D₄²	semidirect
256. D₄	C₃×D₁₂	direct (N × H)
289. C₂²	C₂×C₃×D₁₂	semidirect
294. C₄	C₂×C₃×D₁₂	semidirect
295. C₄	C₃×D₃×D₄	semidirect
297. C₃	D₄×D₁₂	direct (N × H)
298. C₃	C₃×D₄²	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×D₃×D₄	2
C₂²×C₃×D₁₂	2
C₃²×C₄×D₄	2
C₃×#930	2
C₃×#895	2
C₃×#882	2
C₃×#874	2
C₃×C₄×D₁₂	2
C₃×D₄²	3
D₄×D₁₂	3

Subgroups — C3×D4×D12 #10595646

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₄×D₁₂ #10595646