Subgroups — C₂×C₃²×#912 #13179133

Order 1728.

1900 conjugacy classes of subgroups.

The subgroup lattice has 330 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃²×#237	C₂	1	2	yes	maximal, complemented
2	C₂×C₃³×D₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃²×#214	C₂	1	2	yes	maximal, complemented
4	C₃²×#912	C₂	1	8	yes	maximal, direct product factor
5	C₂×C₃²×Dic₁₂	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×C₃²×D₃×C₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×C₃²×#135	—	3	1	no	maximal
8	C₂×C₃×#912	C₃	1	4	yes	maximal, direct product factor
9	C₂×C₃³×D₄	C₂²	1	2	yes	—
10	C₂×C₃²×#67	—	2	2	no	—
11	C₂²×C₃²×Dic₃	—	2	2	no	—
12	C₃²×#237	—	2	4	no	—
13	C₃²×#237	C₂²	1	8	yes	complemented
14	C₂×C₃²×C₄×D₃	C₂²	1	1	yes	characteristic
15	C₂×C₃²×Dic₆	C₂²	1	2	yes	—
16	C₃³×D₈	C₂²	1	4	yes	complemented
17	C₂×C₃³×C₈	C₂²	1	1	yes	characteristic
18	C₃²×#214	C₂²	1	8	yes	complemented
19	C₂×C₃²×C₃⋊C₈	C₂²	1	1	yes	characteristic
20	C₃²×Dic₁₂	C₂²	1	4	yes	complemented
21	C₃²×D₃×C₈	C₂²	1	4	yes	complemented
22	C₂×C₃²×#41	—	3	2	no	—
23	C₂×C₃×#237	C₂×C₃	1	8	yes	complemented
24	C₃²×#135	—	3	8	no	—
25	C₂×C₃²×Q₁₆	—	3	1	no	—
26	C₂×C₃²×SD₁₆	—	3	2	no	—
27	C₂×C₃²×D₈	—	2	4	no	—
28	C₂×C₃²×D₈	D₃	1	1	yes	characteristic, complemented
29	C₂×C₃²×D₈	C₂×C₃	1	4	yes	complemented
30	C₂²×C₃²×C₈	—	3	1	no	—
31	C₂×C₃×#214	C₂×C₃	1	8	yes	complemented
32	C₃×#912	C₂×C₃	1	32	yes	direct product factor
33	C₂×C₃×Dic₁₂	C₂×C₃	1	4	yes	complemented
34	C₂×C₃×D₃×C₈	C₂×C₃	1	4	yes	complemented
35	C₂³×C₃³	—	2	2	no	—
36	C₂²×C₃²×D₃	D₄	1	1	yes	characteristic
37	C₃³×D₄	—	2	2	no	—
38	C₃³×D₄	C₂³	1	4	yes	—
39	C₂×C₃³×C₄	C₂³	1	1	yes	characteristic
40	C₃²×#67	—	2	8	no	—
41	C₂×C₃²×Dic₃	—	2	2	no	—
42	C₂×C₃²×Dic₃	—	2	8	no	—
43	C₂×C₃²×Dic₃	D₄	1	1	yes	characteristic
44	C₃²×C₄×D₃	D₄	1	2	yes	—
45	C₃²×C₄×D₃	C₂³	1	2	yes	—
46	C₃²×Dic₆	—	2	2	no	—
47	C₃²×Dic₆	C₂³	1	4	yes	—
48	C₃³×C₈	C₂³	1	2	yes	—
49	C₃²×C₃⋊C₈	C₂³	1	2	yes	—
50	C₂×C₃×#135	—	3	4	no	—
51	C₂×#912	C₃²	1	1	yes	characteristic, direct product factor
52	C₃²×#41	—	3	8	no	—
53	C₃²×#41	—	6	4	no	—
54	C₂×C₃²×Q₈	—	3	2	no	—
55	C₂×C₃²×D₄	—	2	8	no	—
56	C₂×C₃²×D₄	—	6	2	no	—
57	C₂×C₃²×D₄	C₂×D₃	1	2	yes	—
58	C₂×C₃²×D₄	C₂²×C₃	1	8	yes	—
59	C₂²×C₃²×C₄	—	3	1	no	—
60	C₂²×C₃²×C₄	—	6	2	no	—
61	C₂×C₃×#67	—	2	8	no	—
62	C₂²×C₃×Dic₃	—	2	8	no	—
63	C₃×#237	—	2	16	no	—
64	C₃×#237	C₂²×C₃	1	32	yes	complemented
65	C₂×C₃×C₄×D₃	C₂²×C₃	1	4	yes	—
66	C₂×C₃×Dic₆	C₂²×C₃	1	8	yes	—
67	C₃²×Q₁₆	—	3	4	no	—
68	C₃²×SD₁₆	—	3	8	no	—
69	C₃²×D₈	—	2	16	no	—
70	C₃²×D₈	C₂×D₃	1	4	yes	complemented
71	C₃²×D₈	C₂²×C₃	1	16	yes	complemented
72	C₂×C₃²×C₈	—	2	4	no	—
73	C₂×C₃²×C₈	—	3	1	no	—
74	C₂×C₃²×C₈	—	3	4	no	—
75	C₂×C₃²×C₈	C₂×D₃	1	1	yes	characteristic
76	C₂×C₃²×C₈	C₂²×C₃	1	4	yes	—
77	C₃×#214	C₂²×C₃	1	32	yes	complemented
78	C₂×C₃×C₃⋊C₈	C₂²×C₃	1	4	yes	—
79	C₃×Dic₁₂	C₂²×C₃	1	16	yes	complemented
80	C₃×D₃×C₈	C₂²×C₃	1	16	yes	complemented
81	C₂²×C₃³	—	2	4	no	—
82	C₂²×C₃³	—	4	4	no	—
83	C₂²×C₃³	C₂×D₄	1	1	yes	characteristic
84	C₂×C₃²×D₃	—	2	2	no	—
85	C₂×C₃²×D₃	C₂×D₄	1	2	yes	—
86	C₃³×C₄	C₂×D₄	1	1	yes	characteristic
87	C₃³×C₄	C₂⁴	1	1	yes	characteristic
88	C₃²×Dic₃	—	2	4	no	—
89	C₃²×Dic₃	C₂×D₄	1	2	yes	—
90	C₂×C₃×#41	—	3	8	no	—
91	C₂×#237	C₂×C₃²	1	2	yes	complemented
92	C₃×#135	—	3	32	no	—
93	C₂×C₃×Q₁₆	—	3	4	no	—
94	C₂×C₃×SD₁₆	—	3	8	no	—
95	C₂×C₃×D₈	—	2	4	no	—
96	C₂×C₃×D₈	C₃×D₃	1	4	yes	complemented
97	C₂×C₃×D₈	C₂×C₃²	1	1	yes	characteristic, complemented
98	C₂²×C₃×C₈	—	3	4	no	—
99	C₂×#214	C₂×C₃²	1	2	yes	complemented
100	#912	C₂×C₃²	1	8	yes	direct product factor
101	C₂×Dic₁₂	C₂×C₃²	1	1	yes	characteristic, complemented
102	C₂×D₃×C₈	C₂×C₃²	1	1	yes	characteristic, complemented
103	C₂³×C₃²	—	2	2	no	—
104	C₂³×C₃²	—	2	8	no	—
105	C₂³×C₃²	—	3	1	no	—
106	C₂³×C₃²	—	4	8	no	—
107	C₂²×C₃×D₃	C₃×D₄	1	4	yes	—
108	C₃²×Q₈	—	3	4	no	—
109	C₃²×Q₈	—	6	2	no	—
110	C₃²×D₄	—	2	2	no	—
111	C₃²×D₄	—	2	16	no	—
112	C₃²×D₄	—	2	8	no	—
113	C₃²×D₄	—	4	8	no	—
114	C₃²×D₄	—	6	8	no	—
115	C₃²×D₄	C₂²×D₃	1	4	yes	—
116	C₃²×D₄	C₂³×C₃	1	16	yes	—
117	C₂×C₃²×C₄	—	2	4	no	—
118	C₂×C₃²×C₄	—	3	1	no	—
119	C₂×C₃²×C₄	—	3	2	no	—
120	C₂×C₃²×C₄	—	3	2	no	—
121	C₂×C₃²×C₄	—	6	8	no	—
122	C₂×C₃²×C₄	—	6	2	no	—
123	C₂×C₃²×C₄	C₂²×D₃	1	1	yes	characteristic
124	C₂×C₃²×C₄	C₂³×C₃	1	4	yes	—
125	C₃×#67	—	2	32	no	—
126	C₂×C₃×Dic₃	—	2	8	no	—
127	C₂×C₃×Dic₃	—	2	32	no	—
128	C₂×C₃×Dic₃	C₃×D₄	1	4	yes	—
129	C₃×C₄×D₃	C₃×D₄	1	8	yes	—
130	C₃×C₄×D₃	C₂³×C₃	1	8	yes	—
131	C₃×Dic₆	—	2	8	no	—
132	C₃×Dic₆	C₂³×C₃	1	16	yes	—
133	C₃²×C₈	—	2	8	no	—
134	C₃²×C₈	—	3	2	no	—
135	C₃²×C₈	C₂²×D₃	1	2	yes	—
136	C₃²×C₈	C₂³×C₃	1	8	yes	—
137	C₃×C₃⋊C₈	C₂³×C₃	1	8	yes	—
138	C₂×#135	—	3	1	no	Sylow
139	C₂×C₃³	—	4	4	no	—
140	C₂×C₃³	#135	1	2	yes	complemented
141	C₂×C₃³	C₂²×D₄	1	1	yes	characteristic
142	C₃²×D₃	—	2	2	no	—
143	C₃×#41	—	3	32	no	—
144	C₃×#41	—	6	16	no	—
145	C₂×C₃×Q₈	—	3	8	no	—
146	C₂×C₃×D₄	—	2	8	no	—
147	C₂×C₃×D₄	—	6	8	no	—
148	C₂×C₃×D₄	C₂×C₃×D₃	1	8	yes	—
149	C₂×C₃×D₄	C₂²×C₃²	1	2	yes	—
150	C₂²×C₃×C₄	—	3	4	no	—
151	C₂²×C₃×C₄	—	6	8	no	—
152	C₂×#67	—	2	2	no	—
153	C₂²×Dic₃	—	2	2	no	—
154	#237	—	2	4	no	—
155	#237	C₂²×C₃²	1	8	yes	complemented
156	C₂×C₄×D₃	C₂²×C₃²	1	1	yes	characteristic
157	C₂×Dic₆	C₂²×C₃²	1	2	yes	—
158	C₃×Q₁₆	—	3	16	no	—
159	C₃×SD₁₆	—	3	32	no	—
160	C₃×D₈	—	2	16	no	—
161	C₃×D₈	C₂×C₃×D₃	1	16	yes	complemented
162	C₃×D₈	C₂²×C₃²	1	4	yes	complemented
163	C₂×C₃×C₈	—	2	4	no	—
164	C₂×C₃×C₈	—	3	4	no	—
165	C₂×C₃×C₈	—	3	16	no	—
166	C₂×C₃×C₈	C₂×C₃×D₃	1	4	yes	—
167	C₂×C₃×C₈	C₂²×C₃²	1	1	yes	characteristic
168	#214	C₂²×C₃²	1	8	yes	complemented
169	C₂×C₃⋊C₈	C₂²×C₃²	1	1	yes	characteristic
170	Dic₁₂	C₂²×C₃²	1	4	yes	complemented
171	D₃×C₈	C₂²×C₃²	1	4	yes	complemented
172	C₂²×C₃²	—	2	4	no	—
173	C₂²×C₃²	—	2	4	no	—
174	C₂²×C₃²	—	2	16	no	—
175	C₂²×C₃²	—	3	2	no	—
176	C₂²×C₃²	—	4	16	no	—
177	C₂²×C₃²	—	4	4	no	—
178	C₂²×C₃²	—	4	16	no	—
179	C₂²×C₃²	—	6	2	no	—
180	C₂²×C₃²	—	8	16	no	—
181	C₂²×C₃²	D₃×D₄	1	1	yes	characteristic
182	C₂²×C₃²	C₂×C₃×D₄	1	4	yes	—
183	C₂×C₃×D₃	—	2	8	no	—
184	C₂×C₃×D₃	C₂×C₃×D₄	1	8	yes	—
185	C₃²×C₄	—	2	4	no	—
186	C₃²×C₄	—	2	4	no	—
187	C₃²×C₄	—	3	2	no	—
188	C₃²×C₄	—	6	4	no	—
189	C₃²×C₄	D₃×D₄	1	1	yes	characteristic
190	C₃²×C₄	C₂×C₃×D₄	1	4	yes	—
191	C₃²×C₄	C₂³×D₃	1	1	yes	characteristic
192	C₃²×C₄	C₂⁴×C₃	1	4	yes	—
193	C₃×Dic₃	—	2	16	no	—
194	C₃×Dic₃	C₂×C₃×D₄	1	8	yes	—
195	C₂×#41	—	3	2	no	—
196	#135	—	3	8	no	—
197	C₂×Q₁₆	—	3	1	no	—
198	C₂×SD₁₆	—	3	2	no	—
199	C₂×D₈	C₃²×D₃	1	1	yes	characteristic, complemented
200	C₂²×C₈	—	3	1	no	—
201	C₃³	C₂×#135	1	1	yes	characteristic, complemented, Sylow
202	C₂³×C₃	—	2	8	no	—
203	C₂³×C₃	—	2	2	no	—
204	C₂³×C₃	—	3	4	no	—
205	C₂³×C₃	—	4	8	no	—
206	C₂²×D₃	C₃²×D₄	1	1	yes	characteristic
207	C₃×Q₈	—	3	16	no	—
208	C₃×Q₈	—	6	8	no	—
209	C₃×D₄	—	2	8	no	—
210	C₃×D₄	—	2	2	no	—
211	C₃×D₄	—	2	16	no	—
212	C₃×D₄	—	4	8	no	—
213	C₃×D₄	—	6	32	no	—
214	C₃×D₄	C₂²×C₃×D₃	1	16	yes	—
215	C₃×D₄	C₂³×C₃²	1	4	yes	—
216	C₂×C₃×C₄	—	2	4	no	—
217	C₂×C₃×C₄	—	3	4	no	—
218	C₂×C₃×C₄	—	3	8	no	—
219	C₂×C₃×C₄	—	3	8	no	—
220	C₂×C₃×C₄	—	6	32	no	—
221	C₂×C₃×C₄	—	6	8	no	—
222	C₂×C₃×C₄	C₂²×C₃×D₃	1	4	yes	—
223	C₂×C₃×C₄	C₂³×C₃²	1	1	yes	characteristic
224	#67	—	2	8	no	—
225	C₂×Dic₃	—	2	2	no	—
226	C₂×Dic₃	—	2	8	no	—
227	C₂×Dic₃	C₃²×D₄	1	1	yes	characteristic
228	C₄×D₃	C₃²×D₄	1	2	yes	—
229	C₄×D₃	C₂³×C₃²	1	2	yes	—
230	Dic₆	—	2	2	no	—
231	Dic₆	C₂³×C₃²	1	4	yes	—
232	C₃×C₈	—	2	8	no	—
233	C₃×C₈	—	3	8	no	—
234	C₃×C₈	C₂²×C₃×D₃	1	8	yes	—
235	C₃×C₈	C₂³×C₃²	1	2	yes	—
236	C₃⋊C₈	C₂³×C₃²	1	2	yes	—
237	C₂×C₃²	—	2	8	no	—
238	C₂×C₃²	—	2	4	no	—
239	C₂×C₃²	—	4	4	no	—
240	C₂×C₃²	—	4	16	no	—
241	C₂×C₃²	—	6	2	no	—
242	C₂×C₃²	—	8	16	no	—
243	C₂×C₃²	#912	1	2	yes	direct product factor
244	C₂×C₃²	C₃×#135	1	8	yes	complemented
245	C₂×C₃²	C₂×D₃×D₄	1	1	yes	characteristic
246	C₂×C₃²	C₂²×C₃×D₄	1	4	yes	—
247	C₃×D₃	—	2	8	no	—
248	#41	—	3	8	no	—
249	#41	—	6	4	no	—
250	C₂×Q₈	—	3	2	no	—
251	C₂×D₄	—	6	2	no	—
252	C₂×D₄	C₂×C₃²×D₃	1	2	yes	—
253	C₂²×C₄	—	3	1	no	—
254	C₂²×C₄	—	6	2	no	—
255	Q₁₆	—	3	4	no	—
256	SD₁₆	—	3	8	no	—
257	D₈	C₂×C₃²×D₃	1	4	yes	complemented
258	C₂×C₈	—	3	1	no	—
259	C₂×C₈	—	3	4	no	—
260	C₂×C₈	C₂×C₃²×D₃	1	1	yes	characteristic
261	C₂²×C₃	—	2	16	no	—
262	C₂²×C₃	—	2	4	no	—
263	C₂²×C₃	—	2	4	no	—
264	C₂²×C₃	—	3	8	no	—
265	C₂²×C₃	—	4	16	no	—
266	C₂²×C₃	—	4	16	no	—
267	C₂²×C₃	—	4	4	no	—
268	C₂²×C₃	—	6	8	no	—
269	C₂²×C₃	—	8	16	no	—
270	C₂²×C₃	C₃×D₃×D₄	1	4	yes	—
271	C₂²×C₃	C₂×C₃²×D₄	1	1	yes	characteristic
272	C₂×D₃	—	2	2	no	—
273	C₂×D₃	C₂×C₃²×D₄	1	2	yes	—
274	C₃×C₄	—	2	4	no	—
275	C₃×C₄	—	2	4	no	—
276	C₃×C₄	—	3	8	no	—
277	C₃×C₄	—	6	16	no	—
278	C₃×C₄	C₃×D₃×D₄	1	4	yes	—
279	C₃×C₄	C₂×C₃²×D₄	1	1	yes	characteristic
280	C₃×C₄	C₂³×C₃×D₃	1	4	yes	—
281	C₃×C₄	C₂⁴×C₃²	1	1	yes	characteristic
282	Dic₃	—	2	4	no	—
283	Dic₃	C₂×C₃²×D₄	1	2	yes	—
284	C₃²	—	2	4	no	—
285	C₃²	C₂×#912	1	1	yes	characteristic, direct product factor
286	C₃²	C₂×C₃×#135	1	4	yes	complemented
287	C₂³	—	2	2	no	—
288	C₂³	—	3	1	no	—
289	Q₈	—	3	4	no	—
290	Q₈	—	6	2	no	—
291	D₄	—	2	2	no	—
292	D₄	—	6	8	no	—
293	D₄	C₂²×C₃²×D₃	1	4	yes	—
294	C₂×C₄	—	3	1	no	—
295	C₂×C₄	—	3	2	no	—
296	C₂×C₄	—	3	2	no	—
297	C₂×C₄	—	6	8	no	—
298	C₂×C₄	—	6	2	no	—
299	C₂×C₄	C₂²×C₃²×D₃	1	1	yes	characteristic
300	C₈	—	3	2	no	—
301	C₈	C₂²×C₃²×D₃	1	2	yes	—
302	C₂×C₃	—	2	8	no	—
303	C₂×C₃	—	2	4	no	—
304	C₂×C₃	—	4	16	no	—
305	C₂×C₃	—	4	4	no	—
306	C₂×C₃	—	6	8	no	—
307	C₂×C₃	—	8	16	no	—
308	C₂×C₃	C₃×#912	1	8	yes	direct product factor
309	C₂×C₃	C₃²×#135	1	2	yes	complemented
310	C₂×C₃	C₂×C₃×D₃×D₄	1	4	yes	—
311	C₂×C₃	C₂²×C₃²×D₄	1	1	yes	characteristic
312	D₃	—	2	2	no	—
313	C₂²	—	2	4	no	—
314	C₂²	—	3	2	no	—
315	C₂²	—	4	4	no	—
316	C₂²	—	6	2	no	—
317	C₂²	C₃²×D₃×D₄	1	1	yes	characteristic
318	C₄	—	3	2	no	—
319	C₄	—	6	4	no	—
320	C₄	C₃²×D₃×D₄	1	1	yes	characteristic
321	C₄	C₂³×C₃²×D₃	1	1	yes	characteristic
322	C₃	—	2	4	no	—
323	C₃	C₂×C₃×#912	1	4	yes	direct product factor
324	C₃	C₂×C₃²×#135	1	1	yes	characteristic, complemented
325	C₂	—	4	4	no	—
326	C₂	—	6	2	no	—
327	C₂	C₃²×#912	1	2	yes	direct product factor
328	C₂	C₂×C₃²×D₃×D₄	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃²	D₃×D₄
commutator, cosocle	C₃×C₄	C₂⁴×C₃²
Frattini	C₄	C₂³×C₃²×D₃
Fitting	C₂×C₃³×D₈	C₂
socle	C₂²×C₃³	C₂×D₄
hypercenter	C₂×C₃²×D₈	D₃
hypocenter	C₃	C₂×C₃²×#135
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃² ◁ C₂×C₃²×C₄ ◁ C₂×C₃²×D₈

Complements

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

N	H ≅ G/N	type
1. C₂×C₃²×#237	C₂	semidirect
2. C₂×C₃³×D₈	C₂	semidirect
3. C₂×C₃²×#214	C₂	semidirect
4. C₃²×#912	C₂	direct (N × H)
5. C₂×C₃²×Dic₁₂	C₂	semidirect
6. C₂×C₃²×D₃×C₈	C₂	semidirect
8. C₂×C₃×#912	C₃	direct (N × H)
13. C₃²×#237	C₂²	semidirect
16. C₃³×D₈	C₂²	semidirect
18. C₃²×#214	C₂²	semidirect
20. C₃²×Dic₁₂	C₂²	semidirect
21. C₃²×D₃×C₈	C₂²	semidirect
23. C₂×C₃×#237	C₂×C₃	semidirect
28. C₂×C₃²×D₈	D₃	semidirect
29. C₂×C₃²×D₈	C₂×C₃	semidirect
31. C₂×C₃×#214	C₂×C₃	semidirect
32. C₃×#912	C₂×C₃	direct (N × H)
33. C₂×C₃×Dic₁₂	C₂×C₃	semidirect
34. C₂×C₃×D₃×C₈	C₂×C₃	semidirect
51. C₂×#912	C₃²	direct (N × H)
64. C₃×#237	C₂²×C₃	semidirect
70. C₃²×D₈	C₂×D₃	semidirect
71. C₃²×D₈	C₂²×C₃	semidirect
77. C₃×#214	C₂²×C₃	semidirect
79. C₃×Dic₁₂	C₂²×C₃	semidirect
80. C₃×D₃×C₈	C₂²×C₃	semidirect
91. C₂×#237	C₂×C₃²	semidirect
96. C₂×C₃×D₈	C₃×D₃	semidirect
97. C₂×C₃×D₈	C₂×C₃²	semidirect
99. C₂×#214	C₂×C₃²	semidirect
100. #912	C₂×C₃²	direct (N × H)
101. C₂×Dic₁₂	C₂×C₃²	semidirect
102. C₂×D₃×C₈	C₂×C₃²	semidirect
140. C₂×C₃³	#135	semidirect
155. #237	C₂²×C₃²	semidirect
161. C₃×D₈	C₂×C₃×D₃	semidirect
162. C₃×D₈	C₂²×C₃²	semidirect
168. #214	C₂²×C₃²	semidirect
170. Dic₁₂	C₂²×C₃²	semidirect
171. D₃×C₈	C₂²×C₃²	semidirect
199. C₂×D₈	C₃²×D₃	semidirect
201. C₃³	C₂×#135	semidirect
243. C₂×C₃²	#912	direct (N × H)
244. C₂×C₃²	C₃×#135	semidirect
257. D₈	C₂×C₃²×D₃	semidirect
285. C₃²	C₂×#912	direct (N × H)
286. C₃²	C₂×C₃×#135	semidirect
308. C₂×C₃	C₃×#912	direct (N × H)
309. C₂×C₃	C₃²×#135	semidirect
323. C₃	C₂×C₃×#912	direct (N × H)
324. C₃	C₂×C₃²×#135	semidirect
327. C₂	C₃²×#912	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×C₃²×#237	2
C₂×C₃³×D₈	2
C₂×C₃²×#214	2
C₃²×#912	2
C₂×C₃²×Dic₁₂	2
C₂×C₃²×D₃×C₈	2
C₂×C₃²×#135	3
C₂×C₃×#912	3

Subgroups — C2×C32×#912 #13179133

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×C₃²×#912 #13179133