Subgroups — C₂²×C₃×#912 #11918594

Order 1152.

3177 conjugacy classes of subgroups.

The subgroup lattice has 332 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×#237	C₂	1	2	yes	maximal, complemented
2	C₂²×C₃²×D₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₃×#214	C₂	1	2	yes	maximal, complemented
4	C₂×C₃×#912	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₃×Dic₁₂	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂²×C₃×D₃×C₈	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂²×C₃×#135	—	3	1	no	maximal
8	C₂²×#912	C₃	1	1	yes	maximal, characteristic, direct product factor
9	C₂²×C₃²×D₄	C₂²	1	2	yes	—
10	C₂²×C₃×#67	—	2	2	no	—
11	C₂³×C₃×Dic₃	—	2	2	no	—
12	C₂×C₃×#237	—	2	12	no	—
13	C₂×C₃×#237	C₂²	1	24	yes	complemented
14	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
15	C₂²×C₃×Dic₆	C₂²	1	2	yes	—
16	C₂×C₃²×D₈	C₂²	1	12	yes	complemented
17	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
18	C₂×C₃×#214	C₂²	1	24	yes	complemented
19	C₂²×C₃×C₃⋊C₈	C₂²	1	1	yes	characteristic
20	C₃×#912	C₂²	1	64	yes	direct product factor
21	C₂×C₃×Dic₁₂	C₂²	1	12	yes	complemented
22	C₂×C₃×D₃×C₈	C₂²	1	12	yes	complemented
23	C₂²×C₃×#41	—	3	2	no	—
24	C₂²×#237	C₂×C₃	1	2	yes	complemented
25	C₂×C₃×#135	—	3	24	no	—
26	C₂²×C₃×Q₁₆	—	3	1	no	—
27	C₂²×C₃×SD₁₆	—	3	2	no	—
28	C₂²×C₃×D₈	—	2	1	no	—
29	C₂²×C₃×D₈	D₃	1	1	yes	characteristic, complemented
30	C₂²×C₃×D₈	C₂×C₃	1	1	yes	characteristic, complemented
31	C₂³×C₃×C₈	—	3	1	no	—
32	C₂²×#214	C₂×C₃	1	2	yes	complemented
33	C₂×#912	C₂×C₃	1	24	yes	direct product factor
34	C₂²×Dic₁₂	C₂×C₃	1	1	yes	characteristic, complemented
35	C₂²×D₃×C₈	C₂×C₃	1	1	yes	characteristic, complemented
36	C₂⁴×C₃²	—	2	2	no	—
37	C₂³×C₃×D₃	D₄	1	1	yes	characteristic
38	C₂×C₃²×D₄	—	2	6	no	—
39	C₂×C₃²×D₄	C₂³	1	12	yes	—
40	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
41	C₂×C₃×#67	—	2	24	no	—
42	C₂²×C₃×Dic₃	—	2	2	no	—
43	C₂²×C₃×Dic₃	—	2	24	no	—
44	C₂²×C₃×Dic₃	D₄	1	1	yes	characteristic
45	C₃×#237	—	2	48	no	—
46	C₃×#237	C₂³	1	32	yes	complemented
47	C₂×C₃×C₄×D₃	D₄	1	6	yes	—
48	C₂×C₃×C₄×D₃	C₂³	1	6	yes	—
49	C₂×C₃×Dic₆	—	2	6	no	—
50	C₂×C₃×Dic₆	C₂³	1	12	yes	—
51	C₃²×D₈	C₂³	1	16	yes	complemented
52	C₂×C₃²×C₈	C₂³	1	6	yes	—
53	C₃×#214	C₂³	1	32	yes	complemented
54	C₂×C₃×C₃⋊C₈	C₂³	1	6	yes	—
55	C₃×Dic₁₂	C₂³	1	16	yes	complemented
56	C₃×D₃×C₈	C₂³	1	16	yes	complemented
57	C₂²×#135	—	3	1	no	Sylow
58	C₂×C₃×#41	—	3	24	no	—
59	C₂×C₃×#41	—	6	12	no	—
60	C₂²×C₃×Q₈	—	3	2	no	—
61	C₂²×C₃×D₄	—	2	2	no	—
62	C₂²×C₃×D₄	—	6	2	no	—
63	C₂²×C₃×D₄	C₂×D₃	1	2	yes	—
64	C₂²×C₃×D₄	C₂²×C₃	1	2	yes	—
65	C₂³×C₃×C₄	—	3	1	no	—
66	C₂³×C₃×C₄	—	6	2	no	—
67	C₂²×#67	—	2	2	no	—
68	C₂³×Dic₃	—	2	2	no	—
69	C₂×#237	—	2	12	no	—
70	C₂×#237	C₂²×C₃	1	24	yes	complemented
71	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
72	C₂²×Dic₆	C₂²×C₃	1	2	yes	—
73	C₃×#135	—	3	64	no	—
74	C₂×C₃×Q₁₆	—	3	12	no	—
75	C₂×C₃×SD₁₆	—	3	24	no	—
76	C₂×C₃×D₈	—	2	12	no	—
77	C₂×C₃×D₈	C₂×D₃	1	12	yes	complemented
78	C₂×C₃×D₈	C₂²×C₃	1	12	yes	complemented
79	C₂²×C₃×C₈	—	2	1	no	—
80	C₂²×C₃×C₈	—	3	1	no	—
81	C₂²×C₃×C₈	—	3	12	no	—
82	C₂²×C₃×C₈	C₂×D₃	1	1	yes	characteristic
83	C₂²×C₃×C₈	C₂²×C₃	1	1	yes	characteristic
84	C₂×#214	C₂²×C₃	1	24	yes	complemented
85	C₂²×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
86	#912	C₂²×C₃	1	64	yes	direct product factor
87	C₂×Dic₁₂	C₂²×C₃	1	12	yes	complemented
88	C₂×D₃×C₈	C₂²×C₃	1	12	yes	complemented
89	C₂³×C₃²	—	2	12	no	—
90	C₂³×C₃²	—	4	8	no	—
91	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
92	C₂²×C₃×D₃	—	2	4	no	—
93	C₂²×C₃×D₃	C₂×D₄	1	6	yes	—
94	C₃²×D₄	—	2	12	no	—
95	C₃²×D₄	C₂⁴	1	8	yes	—
96	C₂×C₃²×C₄	C₂×D₄	1	3	yes	—
97	C₂×C₃²×C₄	C₂⁴	1	3	yes	—
98	C₃×#67	—	2	32	no	—
99	C₂×C₃×Dic₃	—	2	12	no	—
100	C₂×C₃×Dic₃	—	2	32	no	—
101	C₂×C₃×Dic₃	C₂×D₄	1	6	yes	—
102	C₃×C₄×D₃	C₂×D₄	1	12	yes	—
103	C₃×C₄×D₃	C₂⁴	1	4	yes	—
104	C₃×Dic₆	—	2	12	no	—
105	C₃×Dic₆	C₂⁴	1	8	yes	—
106	C₃²×C₈	C₂⁴	1	4	yes	—
107	C₃×C₃⋊C₈	C₂⁴	1	4	yes	—
108	C₂²×#41	—	3	2	no	—
109	C₂×#135	—	3	24	no	—
110	C₂²×Q₁₆	—	3	1	no	—
111	C₂²×SD₁₆	—	3	2	no	—
112	C₂²×D₈	C₃×D₃	1	1	yes	characteristic, complemented
113	C₂³×C₈	—	3	1	no	—
114	C₂⁴×C₃	—	2	2	no	—
115	C₂⁴×C₃	—	2	2	no	—
116	C₂⁴×C₃	—	3	1	no	—
117	C₂⁴×C₃	—	4	2	no	—
118	C₂³×D₃	C₃×D₄	1	1	yes	characteristic
119	C₃×#41	—	3	32	no	—
120	C₃×#41	—	6	48	no	—
121	C₂×C₃×Q₈	—	3	12	no	—
122	C₂×C₃×Q₈	—	6	6	no	—
123	C₂×C₃×D₄	—	2	6	no	—
124	C₂×C₃×D₄	—	2	6	no	—
125	C₂×C₃×D₄	—	2	12	no	—
126	C₂×C₃×D₄	—	4	6	no	—
127	C₂×C₃×D₄	—	6	24	no	—
128	C₂×C₃×D₄	C₂²×D₃	1	12	yes	—
129	C₂×C₃×D₄	C₂³×C₃	1	12	yes	—
130	C₂²×C₃×C₄	—	2	1	no	—
131	C₂²×C₃×C₄	—	3	1	no	—
132	C₂²×C₃×C₄	—	3	6	no	—
133	C₂²×C₃×C₄	—	3	6	no	—
134	C₂²×C₃×C₄	—	6	24	no	—
135	C₂²×C₃×C₄	—	6	2	no	—
136	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
137	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
138	C₂×#67	—	2	24	no	—
139	C₂²×Dic₃	—	2	2	no	—
140	C₂²×Dic₃	—	2	24	no	—
141	C₂²×Dic₃	C₃×D₄	1	1	yes	characteristic
142	#237	—	2	48	no	—
143	#237	C₂³×C₃	1	32	yes	complemented
144	C₂×C₄×D₃	C₃×D₄	1	6	yes	—
145	C₂×C₄×D₃	C₂³×C₃	1	6	yes	—
146	C₂×Dic₆	—	2	6	no	—
147	C₂×Dic₆	C₂³×C₃	1	12	yes	—
148	C₃×Q₁₆	—	3	16	no	—
149	C₃×SD₁₆	—	3	32	no	—
150	C₃×D₈	—	2	16	no	—
151	C₃×D₈	C₂²×D₃	1	16	yes	complemented
152	C₃×D₈	C₂³×C₃	1	16	yes	complemented
153	C₂×C₃×C₈	—	2	6	no	—
154	C₂×C₃×C₈	—	3	6	no	—
155	C₂×C₃×C₈	—	3	16	no	—
156	C₂×C₃×C₈	C₂²×D₃	1	6	yes	—
157	C₂×C₃×C₈	C₂³×C₃	1	6	yes	—
158	#214	C₂³×C₃	1	32	yes	complemented
159	C₂×C₃⋊C₈	C₂³×C₃	1	6	yes	—
160	Dic₁₂	C₂³×C₃	1	16	yes	complemented
161	D₃×C₈	C₂³×C₃	1	16	yes	complemented
162	C₂²×C₃²	—	2	8	no	—
163	C₂²×C₃²	—	4	24	no	—
164	C₂²×C₃²	#135	1	4	yes	complemented
165	C₂²×C₃²	C₂²×D₄	1	3	yes	—
166	C₂×C₃×D₃	—	2	12	no	—
167	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
168	C₃²×C₄	C₂²×D₄	1	3	yes	—
169	C₃²×C₄	C₂⁵	1	1	yes	characteristic
170	C₃×Dic₃	—	2	8	no	—
171	C₃×Dic₃	C₂²×D₄	1	4	yes	—
172	C₂×#41	—	3	24	no	—
173	C₂×#41	—	6	12	no	—
174	C₂²×Q₈	—	3	2	no	—
175	C₂²×D₄	—	6	2	no	—
176	C₂²×D₄	C₂×C₃×D₃	1	2	yes	—
177	C₂³×C₄	—	3	1	no	—
178	C₂³×C₄	—	6	2	no	—
179	#135	—	3	64	no	—
180	C₂×Q₁₆	—	3	12	no	—
181	C₂×SD₁₆	—	3	24	no	—
182	C₂×D₈	C₂×C₃×D₃	1	12	yes	complemented
183	C₂²×C₈	—	3	1	no	—
184	C₂²×C₈	—	3	12	no	—
185	C₂²×C₈	C₂×C₃×D₃	1	1	yes	characteristic
186	C₂³×C₃	—	2	12	no	—
187	C₂³×C₃	—	2	12	no	—
188	C₂³×C₃	—	2	1	no	—
189	C₂³×C₃	—	3	6	no	—
190	C₂³×C₃	—	4	12	no	—
191	C₂³×C₃	—	4	8	no	—
192	C₂³×C₃	—	4	8	no	—
193	C₂³×C₃	—	6	4	no	—
194	C₂³×C₃	—	8	8	no	—
195	C₂³×C₃	D₃×D₄	1	1	yes	characteristic
196	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
197	C₂²×D₃	—	2	4	no	—
198	C₂²×D₃	C₂×C₃×D₄	1	6	yes	—
199	C₃×Q₈	—	3	8	no	—
200	C₃×Q₈	—	6	12	no	—
201	C₃×D₄	—	2	12	no	—
202	C₃×D₄	—	2	12	no	—
203	C₃×D₄	—	2	8	no	—
204	C₃×D₄	—	4	12	no	—
205	C₃×D₄	—	6	32	no	—
206	C₃×D₄	C₂³×D₃	1	8	yes	—
207	C₃×D₄	C₂⁴×C₃	1	8	yes	—
208	C₂×C₃×C₄	—	2	3	no	—
209	C₂×C₃×C₄	—	2	3	no	—
210	C₂×C₃×C₄	—	3	6	no	—
211	C₂×C₃×C₄	—	3	12	no	—
212	C₂×C₃×C₄	—	3	4	no	—
213	C₂×C₃×C₄	—	6	32	no	—
214	C₂×C₃×C₄	—	6	12	no	—
215	C₂×C₃×C₄	D₃×D₄	1	3	yes	—
216	C₂×C₃×C₄	C₂×C₃×D₄	1	3	yes	—
217	C₂×C₃×C₄	C₂³×D₃	1	3	yes	—
218	C₂×C₃×C₄	C₂⁴×C₃	1	3	yes	—
219	#67	—	2	32	no	—
220	C₂×Dic₃	—	2	12	no	—
221	C₂×Dic₃	—	2	32	no	—
222	C₂×Dic₃	C₂×C₃×D₄	1	6	yes	—
223	C₄×D₃	C₂×C₃×D₄	1	12	yes	—
224	C₄×D₃	C₂⁴×C₃	1	4	yes	—
225	Dic₆	—	2	12	no	—
226	Dic₆	C₂⁴×C₃	1	8	yes	—
227	C₃×C₈	—	2	4	no	—
228	C₃×C₈	—	3	4	no	—
229	C₃×C₈	C₂³×D₃	1	4	yes	—
230	C₃×C₈	C₂⁴×C₃	1	4	yes	—
231	C₃⋊C₈	C₂⁴×C₃	1	4	yes	—
232	C₂×C₃²	—	4	8	no	—
233	C₂×C₃²	C₂×#135	1	6	yes	complemented
234	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
235	C₃×D₃	—	2	4	no	—
236	C₂⁴	—	2	2	no	—
237	C₂⁴	—	3	1	no	—
238	#41	—	3	32	no	—
239	#41	—	6	48	no	—
240	C₂×Q₈	—	3	12	no	—
241	C₂×Q₈	—	6	6	no	—
242	C₂×D₄	—	2	6	no	—
243	C₂×D₄	—	6	24	no	—
244	C₂×D₄	C₂²×C₃×D₃	1	12	yes	—
245	C₂²×C₄	—	3	1	no	—
246	C₂²×C₄	—	3	6	no	—
247	C₂²×C₄	—	3	6	no	—
248	C₂²×C₄	—	6	24	no	—
249	C₂²×C₄	—	6	2	no	—
250	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
251	Q₁₆	—	3	16	no	—
252	SD₁₆	—	3	32	no	—
253	D₈	C₂²×C₃×D₃	1	16	yes	complemented
254	C₂×C₈	—	3	6	no	—
255	C₂×C₈	—	3	16	no	—
256	C₂×C₈	C₂²×C₃×D₃	1	6	yes	—
257	C₂²×C₃	—	2	8	no	—
258	C₂²×C₃	—	2	8	no	—
259	C₂²×C₃	—	2	4	no	—
260	C₂²×C₃	—	2	3	no	—
261	C₂²×C₃	—	3	4	no	—
262	C₂²×C₃	—	4	8	no	—
263	C₂²×C₃	—	4	24	no	—
264	C₂²×C₃	—	4	24	no	—
265	C₂²×C₃	—	6	12	no	—
266	C₂²×C₃	—	8	24	no	—
267	C₂²×C₃	#912	1	4	yes	direct product factor
268	C₂²×C₃	C₃×#135	1	4	yes	complemented
269	C₂²×C₃	C₂×D₃×D₄	1	3	yes	—
270	C₂²×C₃	C₂²×C₃×D₄	1	3	yes	—
271	C₂×D₃	—	2	12	no	—
272	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
273	C₃×C₄	—	2	3	no	—
274	C₃×C₄	—	2	1	no	—
275	C₃×C₄	—	3	4	no	—
276	C₃×C₄	—	6	8	no	—
277	C₃×C₄	C₂×D₃×D₄	1	3	yes	—
278	C₃×C₄	C₂²×C₃×D₄	1	3	yes	—
279	C₃×C₄	C₂⁴×D₃	1	1	yes	characteristic
280	C₃×C₄	C₂⁵×C₃	1	1	yes	characteristic
281	Dic₃	—	2	8	no	—
282	Dic₃	C₂²×C₃×D₄	1	4	yes	—
283	C₃²	C₂²×#135	1	1	yes	characteristic, complemented, Sylow
284	C₂³	—	2	12	no	—
285	C₂³	—	3	6	no	—
286	C₂³	—	4	8	no	—
287	C₂³	—	6	4	no	—
288	C₂³	C₃×D₃×D₄	1	1	yes	characteristic
289	Q₈	—	3	8	no	—
290	Q₈	—	6	12	no	—
291	D₄	—	2	12	no	—
292	D₄	—	6	32	no	—
293	D₄	C₂³×C₃×D₃	1	8	yes	—
294	C₂×C₄	—	3	6	no	—
295	C₂×C₄	—	3	12	no	—
296	C₂×C₄	—	3	4	no	—
297	C₂×C₄	—	6	32	no	—
298	C₂×C₄	—	6	12	no	—
299	C₂×C₄	C₃×D₃×D₄	1	3	yes	—
300	C₂×C₄	C₂³×C₃×D₃	1	3	yes	—
301	C₈	—	3	4	no	—
302	C₈	C₂³×C₃×D₃	1	4	yes	—
303	C₂×C₃	—	2	6	no	—
304	C₂×C₃	—	2	1	no	—
305	C₂×C₃	—	4	8	no	—
306	C₂×C₃	—	4	8	no	—
307	C₂×C₃	—	6	4	no	—
308	C₂×C₃	—	8	8	no	—
309	C₂×C₃	C₂×#912	1	6	yes	direct product factor
310	C₂×C₃	C₂×C₃×#135	1	6	yes	complemented
311	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
312	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
313	D₃	—	2	4	no	—
314	C₂²	—	2	8	no	—
315	C₂²	—	3	4	no	—
316	C₂²	—	4	24	no	—
317	C₂²	—	6	12	no	—
318	C₂²	C₃×#912	1	4	yes	direct product factor
319	C₂²	C₂×C₃×D₃×D₄	1	3	yes	—
320	C₄	—	3	4	no	—
321	C₄	—	6	8	no	—
322	C₄	C₂×C₃×D₃×D₄	1	3	yes	—
323	C₄	C₂⁴×C₃×D₃	1	1	yes	characteristic
324	C₃	—	2	1	no	—
325	C₃	C₂²×#912	1	1	yes	characteristic, direct product factor
326	C₃	C₂²×C₃×#135	1	1	yes	characteristic, complemented
327	C₂	—	4	8	no	—
328	C₂	—	6	4	no	—
329	C₂	C₂×C₃×#912	1	6	yes	direct product factor
330	C₂	C₂²×C₃×D₃×D₄	1	1	yes	characteristic

	subgroup	G/H
center	C₂³×C₃	D₃×D₄
commutator, cosocle	C₃×C₄	C₂⁵×C₃
Frattini	C₄	C₂⁴×C₃×D₃
Fitting	C₂²×C₃²×D₈	C₂
socle	C₂³×C₃²	C₂×D₄
hypercenter	C₂²×C₃×D₈	D₃
hypocenter	C₃	C₂²×C₃×#135
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₃ ◁ C₂²×C₃×C₄ ◁ C₂²×C₃×D₈

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×#237	C₂	semidirect
2. C₂²×C₃²×D₈	C₂	semidirect
3. C₂²×C₃×#214	C₂	semidirect
4. C₂×C₃×#912	C₂	direct (N × H)
5. C₂²×C₃×Dic₁₂	C₂	semidirect
6. C₂²×C₃×D₃×C₈	C₂	semidirect
8. C₂²×#912	C₃	direct (N × H)
13. C₂×C₃×#237	C₂²	semidirect
16. C₂×C₃²×D₈	C₂²	semidirect
18. C₂×C₃×#214	C₂²	semidirect
20. C₃×#912	C₂²	direct (N × H)
21. C₂×C₃×Dic₁₂	C₂²	semidirect
22. C₂×C₃×D₃×C₈	C₂²	semidirect
24. C₂²×#237	C₂×C₃	semidirect
29. C₂²×C₃×D₈	D₃	semidirect
30. C₂²×C₃×D₈	C₂×C₃	semidirect
32. C₂²×#214	C₂×C₃	semidirect
33. C₂×#912	C₂×C₃	direct (N × H)
34. C₂²×Dic₁₂	C₂×C₃	semidirect
35. C₂²×D₃×C₈	C₂×C₃	semidirect
46. C₃×#237	C₂³	semidirect
51. C₃²×D₈	C₂³	semidirect
53. C₃×#214	C₂³	semidirect
55. C₃×Dic₁₂	C₂³	semidirect
56. C₃×D₃×C₈	C₂³	semidirect
70. C₂×#237	C₂²×C₃	semidirect
77. C₂×C₃×D₈	C₂×D₃	semidirect
78. C₂×C₃×D₈	C₂²×C₃	semidirect
84. C₂×#214	C₂²×C₃	semidirect
86. #912	C₂²×C₃	direct (N × H)
87. C₂×Dic₁₂	C₂²×C₃	semidirect
88. C₂×D₃×C₈	C₂²×C₃	semidirect
112. C₂²×D₈	C₃×D₃	semidirect
143. #237	C₂³×C₃	semidirect
151. C₃×D₈	C₂²×D₃	semidirect
152. C₃×D₈	C₂³×C₃	semidirect
158. #214	C₂³×C₃	semidirect
160. Dic₁₂	C₂³×C₃	semidirect
161. D₃×C₈	C₂³×C₃	semidirect
164. C₂²×C₃²	#135	semidirect
182. C₂×D₈	C₂×C₃×D₃	semidirect
233. C₂×C₃²	C₂×#135	semidirect
253. D₈	C₂²×C₃×D₃	semidirect
267. C₂²×C₃	#912	direct (N × H)
268. C₂²×C₃	C₃×#135	semidirect
283. C₃²	C₂²×#135	semidirect
309. C₂×C₃	C₂×#912	direct (N × H)
310. C₂×C₃	C₂×C₃×#135	semidirect
318. C₂²	C₃×#912	direct (N × H)
325. C₃	C₂²×#912	direct (N × H)
326. C₃	C₂²×C₃×#135	semidirect
329. C₂	C₂×C₃×#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
C₂²×C₃×#237	2
C₂²×C₃²×D₈	2
C₂²×C₃×#214	2
C₂×C₃×#912	2
C₂²×C₃×Dic₁₂	2
C₂²×C₃×D₃×C₈	2
C₂²×C₃×#135	3
C₂²×#912	3

Subgroups — C22×C3×#912 #11918594

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₃×#912 #11918594