Subgroups — C₂²×C₃×#919 #11918606

Order 1152.

3137 conjugacy classes of subgroups.

The subgroup lattice has 329 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×#239	C₂	1	2	yes	maximal, complemented
2	C₂²×C₃²×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂²×C₃×#215	C₂	1	2	yes	maximal, complemented
4	C₂×C₃×#919	C₂	1	24	yes	maximal, direct product factor
5	C₂²×C₃×D₂₄	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×#919	C₃	1	1	yes	maximal, characteristic, direct product factor
9	C₂²×C₃²×Q₈	C₂²	1	2	yes	—
10	C₂×C₃×#239	—	2	12	no	—
11	C₂×C₃×#239	C₂²	1	24	yes	complemented
12	C₂²×C₃×D₁₂	—	2	2	no	—
13	C₂²×C₃×D₁₂	C₂²	1	2	yes	—
14	C₂²×C₃×C₄×D₃	—	2	2	no	—
15	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
16	C₂×C₃²×Q₁₆	C₂²	1	12	yes	complemented
17	C₂²×C₃²×C₈	C₂²	1	1	yes	characteristic
18	C₂×C₃×#215	C₂²	1	24	yes	complemented
19	C₂²×C₃×C₃⋊C₈	C₂²	1	1	yes	characteristic
20	C₃×#919	C₂²	1	64	yes	direct product factor
21	C₂×C₃×D₂₄	C₂²	1	12	yes	complemented
22	C₂×C₃×D₃×C₈	C₂²	1	12	yes	complemented
23	C₂²×C₃×#41	—	3	2	no	—
24	C₂²×#239	C₂×C₃	1	2	yes	complemented
25	C₂×C₃×#135	—	3	24	no	—
26	C₂²×C₃×Q₁₆	—	2	1	no	—
27	C₂²×C₃×Q₁₆	D₃	1	1	yes	characteristic, complemented
28	C₂²×C₃×Q₁₆	C₂×C₃	1	1	yes	characteristic, complemented
29	C₂²×C₃×SD₁₆	—	3	2	no	—
30	C₂²×C₃×D₈	—	3	1	no	—
31	C₂³×C₃×C₈	—	3	1	no	—
32	C₂²×#215	C₂×C₃	1	2	yes	complemented
33	C₂×#919	C₂×C₃	1	24	yes	direct product factor
34	C₂²×D₂₄	C₂×C₃	1	1	yes	characteristic, complemented
35	C₂²×D₃×C₈	C₂×C₃	1	1	yes	characteristic, complemented
36	C₂³×C₃×D₃	—	2	2	no	—
37	C₂³×C₃×D₃	D₄	1	1	yes	characteristic
38	C₂×C₃²×Q₈	—	2	6	no	—
39	C₂×C₃²×Q₈	C₂³	1	12	yes	—
40	C₂²×C₃²×C₄	—	2	2	no	—
41	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
42	C₂²×C₃×Dic₃	D₄	1	1	yes	characteristic
43	C₃×#239	—	2	48	no	—
44	C₃×#239	C₂³	1	32	yes	complemented
45	C₂×C₃×D₁₂	—	2	24	no	—
46	C₂×C₃×D₁₂	—	2	6	no	—
47	C₂×C₃×D₁₂	C₂³	1	12	yes	—
48	C₂×C₃×C₄×D₃	—	2	24	no	—
49	C₂×C₃×C₄×D₃	D₄	1	6	yes	—
50	C₂×C₃×C₄×D₃	C₂³	1	6	yes	—
51	C₃²×Q₁₆	C₂³	1	16	yes	complemented
52	C₂×C₃²×C₈	C₂³	1	6	yes	—
53	C₃×#215	C₂³	1	32	yes	complemented
54	C₂×C₃×C₃⋊C₈	C₂³	1	6	yes	—
55	C₃×D₂₄	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	—	2	2	no	—
61	C₂²×C₃×Q₈	C₂×D₃	1	2	yes	—
62	C₂²×C₃×Q₈	C₂²×C₃	1	2	yes	—
63	C₂²×C₃×D₄	—	3	2	no	—
64	C₂²×C₃×D₄	—	6	2	no	—
65	C₂³×C₃×C₄	—	3	1	no	—
66	C₂³×C₃×C₄	—	6	2	no	—
67	C₂×#239	—	2	12	no	—
68	C₂×#239	C₂²×C₃	1	24	yes	complemented
69	C₂²×D₁₂	—	2	2	no	—
70	C₂²×D₁₂	C₂²×C₃	1	2	yes	—
71	C₂²×C₄×D₃	—	2	2	no	—
72	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
73	C₃×#135	—	3	64	no	—
74	C₂×C₃×Q₁₆	—	2	12	no	—
75	C₂×C₃×Q₁₆	C₂×D₃	1	12	yes	complemented
76	C₂×C₃×Q₁₆	C₂²×C₃	1	12	yes	complemented
77	C₂×C₃×SD₁₆	—	3	24	no	—
78	C₂×C₃×D₈	—	3	12	no	—
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×#215	C₂²×C₃	1	24	yes	complemented
85	C₂²×C₃⋊C₈	C₂²×C₃	1	1	yes	characteristic
86	#919	C₂²×C₃	1	64	yes	direct product factor
87	C₂×D₂₄	C₂²×C₃	1	12	yes	complemented
88	C₂×D₃×C₈	C₂²×C₃	1	12	yes	complemented
89	C₂³×C₃²	C₂×D₄	1	1	yes	characteristic
90	C₂²×C₃×D₃	—	2	4	no	—
91	C₂²×C₃×D₃	—	2	12	no	—
92	C₂²×C₃×D₃	—	4	8	no	—
93	C₂²×C₃×D₃	C₂×D₄	1	6	yes	—
94	C₃²×Q₈	—	2	12	no	—
95	C₃²×Q₈	C₂⁴	1	8	yes	—
96	C₂×C₃²×C₄	—	2	12	no	—
97	C₂×C₃²×C₄	C₂×D₄	1	3	yes	—
98	C₂×C₃²×C₄	C₂⁴	1	3	yes	—
99	C₂×C₃×Dic₃	C₂×D₄	1	6	yes	—
100	C₃×D₁₂	—	2	32	no	—
101	C₃×D₁₂	—	2	12	no	—
102	C₃×D₁₂	C₂⁴	1	8	yes	—
103	C₃×C₄×D₃	—	2	32	no	—
104	C₃×C₄×D₃	C₂×D₄	1	12	yes	—
105	C₃×C₄×D₃	C₂⁴	1	4	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	C₃×D₃	1	1	yes	characteristic, complemented
111	C₂²×SD₁₆	—	3	2	no	—
112	C₂²×D₈	—	3	1	no	—
113	C₂³×C₈	—	3	1	no	—
114	C₂⁴×C₃	—	3	1	no	—
115	C₂⁴×C₃	—	6	2	no	—
116	C₂³×D₃	—	2	2	no	—
117	C₂³×D₃	C₃×D₄	1	1	yes	characteristic
118	C₃×#41	—	3	32	no	—
119	C₃×#41	—	6	48	no	—
120	C₂×C₃×Q₈	—	2	6	no	—
121	C₂×C₃×Q₈	—	2	6	no	—
122	C₂×C₃×Q₈	—	2	12	no	—
123	C₂×C₃×Q₈	—	4	6	no	—
124	C₂×C₃×Q₈	C₂²×D₃	1	12	yes	—
125	C₂×C₃×Q₈	C₂³×C₃	1	12	yes	—
126	C₂×C₃×D₄	—	3	12	no	—
127	C₂×C₃×D₄	—	6	24	no	—
128	C₂×C₃×D₄	—	6	6	no	—
129	C₂²×C₃×C₄	—	2	2	no	—
130	C₂²×C₃×C₄	—	2	2	no	—
131	C₂²×C₃×C₄	—	2	1	no	—
132	C₂²×C₃×C₄	—	3	1	no	—
133	C₂²×C₃×C₄	—	3	6	no	—
134	C₂²×C₃×C₄	—	3	6	no	—
135	C₂²×C₃×C₄	—	4	2	no	—
136	C₂²×C₃×C₄	—	6	24	no	—
137	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
138	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
139	C₂²×Dic₃	C₃×D₄	1	1	yes	characteristic
140	#239	—	2	48	no	—
141	#239	C₂³×C₃	1	32	yes	complemented
142	C₂×D₁₂	—	2	24	no	—
143	C₂×D₁₂	—	2	6	no	—
144	C₂×D₁₂	C₂³×C₃	1	12	yes	—
145	C₂×C₄×D₃	—	2	24	no	—
146	C₂×C₄×D₃	C₃×D₄	1	6	yes	—
147	C₂×C₄×D₃	C₂³×C₃	1	6	yes	—
148	C₃×Q₁₆	—	2	16	no	—
149	C₃×Q₁₆	C₂²×D₃	1	16	yes	complemented
150	C₃×Q₁₆	C₂³×C₃	1	16	yes	complemented
151	C₃×SD₁₆	—	3	32	no	—
152	C₃×D₈	—	3	16	no	—
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	#215	C₂³×C₃	1	32	yes	complemented
159	C₂×C₃⋊C₈	C₂³×C₃	1	6	yes	—
160	D₂₄	C₂³×C₃	1	16	yes	complemented
161	D₃×C₈	C₂³×C₃	1	16	yes	complemented
162	C₂²×C₃²	#135	1	4	yes	complemented
163	C₂²×C₃²	C₂²×D₄	1	3	yes	—
164	C₂×C₃×D₃	—	2	12	no	—
165	C₂×C₃×D₃	—	2	8	no	—
166	C₂×C₃×D₃	—	4	24	no	—
167	C₂×C₃×D₃	C₂²×D₄	1	4	yes	—
168	C₃²×C₄	—	2	8	no	—
169	C₃²×C₄	C₂²×D₄	1	3	yes	—
170	C₃²×C₄	C₂⁵	1	1	yes	characteristic
171	C₃×Dic₃	C₂²×D₄	1	4	yes	—
172	C₂×#41	—	3	24	no	—
173	C₂×#41	—	6	12	no	—
174	C₂²×Q₈	C₂×C₃×D₃	1	2	yes	—
175	C₂²×D₄	—	3	2	no	—
176	C₂²×D₄	—	6	2	no	—
177	C₂³×C₄	—	3	1	no	—
178	C₂³×C₄	—	6	2	no	—
179	#135	—	3	64	no	—
180	C₂×Q₁₆	C₂×C₃×D₃	1	12	yes	complemented
181	C₂×SD₁₆	—	3	24	no	—
182	C₂×D₈	—	3	12	no	—
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	1	no	—
187	C₂³×C₃	—	3	6	no	—
188	C₂³×C₃	—	6	4	no	—
189	C₂³×C₃	—	6	12	no	—
190	C₂³×C₃	—	12	8	no	—
191	C₂³×C₃	D₃×D₄	1	1	yes	characteristic
192	C₂³×C₃	C₂×C₃×D₄	1	1	yes	characteristic
193	C₂²×D₃	—	2	4	no	—
194	C₂²×D₃	—	2	12	no	—
195	C₂²×D₃	—	4	8	no	—
196	C₂²×D₃	C₂×C₃×D₄	1	6	yes	—
197	C₃×Q₈	—	2	12	no	—
198	C₃×Q₈	—	2	12	no	—
199	C₃×Q₈	—	2	8	no	—
200	C₃×Q₈	—	4	12	no	—
201	C₃×Q₈	C₂³×D₃	1	8	yes	—
202	C₃×Q₈	C₂⁴×C₃	1	8	yes	—
203	C₃×D₄	—	3	8	no	—
204	C₃×D₄	—	6	32	no	—
205	C₃×D₄	—	6	12	no	—
206	C₂×C₃×C₄	—	2	12	no	—
207	C₂×C₃×C₄	—	2	12	no	—
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	—	4	12	no	—
214	C₂×C₃×C₄	—	6	32	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	C₂×Dic₃	C₂×C₃×D₄	1	6	yes	—
220	D₁₂	—	2	32	no	—
221	D₁₂	—	2	12	no	—
222	D₁₂	C₂⁴×C₃	1	8	yes	—
223	C₄×D₃	—	2	32	no	—
224	C₄×D₃	C₂×C₃×D₄	1	12	yes	—
225	C₄×D₃	C₂⁴×C₃	1	4	yes	—
226	C₃×C₈	—	2	4	no	—
227	C₃×C₈	—	3	4	no	—
228	C₃×C₈	C₂³×D₃	1	4	yes	—
229	C₃×C₈	C₂⁴×C₃	1	4	yes	—
230	C₃⋊C₈	C₂⁴×C₃	1	4	yes	—
231	C₂×C₃²	C₂×#135	1	6	yes	complemented
232	C₂×C₃²	C₂³×D₄	1	1	yes	characteristic
233	C₃×D₃	—	2	4	no	—
234	C₃×D₃	—	4	8	no	—
235	C₂⁴	—	3	1	no	—
236	C₂⁴	—	6	2	no	—
237	#41	—	3	32	no	—
238	#41	—	6	48	no	—
239	C₂×Q₈	—	2	6	no	—
240	C₂×Q₈	C₂²×C₃×D₃	1	12	yes	—
241	C₂×D₄	—	3	12	no	—
242	C₂×D₄	—	6	24	no	—
243	C₂×D₄	—	6	6	no	—
244	C₂²×C₄	—	2	2	no	—
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	C₂²×C₃×D₃	1	1	yes	characteristic
250	Q₁₆	C₂²×C₃×D₃	1	16	yes	complemented
251	SD₁₆	—	3	32	no	—
252	D₈	—	3	16	no	—
253	C₂×C₈	—	3	6	no	—
254	C₂×C₈	—	3	16	no	—
255	C₂×C₈	C₂²×C₃×D₃	1	6	yes	—
256	C₂²×C₃	—	2	4	no	—
257	C₂²×C₃	—	2	3	no	—
258	C₂²×C₃	—	3	4	no	—
259	C₂²×C₃	—	6	12	no	—
260	C₂²×C₃	—	6	8	no	—
261	C₂²×C₃	—	12	24	no	—
262	C₂²×C₃	#919	1	4	yes	direct product factor
263	C₂²×C₃	C₃×#135	1	4	yes	complemented
264	C₂²×C₃	C₂×D₃×D₄	1	3	yes	—
265	C₂²×C₃	C₂²×C₃×D₄	1	3	yes	—
266	C₂×D₃	—	2	12	no	—
267	C₂×D₃	—	2	8	no	—
268	C₂×D₃	—	4	24	no	—
269	C₂×D₃	C₂²×C₃×D₄	1	4	yes	—
270	C₃×C₄	—	2	8	no	—
271	C₃×C₄	—	2	8	no	—
272	C₃×C₄	—	2	3	no	—
273	C₃×C₄	—	2	1	no	—
274	C₃×C₄	—	3	4	no	—
275	C₃×C₄	—	4	8	no	—
276	C₃×C₄	C₂×D₃×D₄	1	3	yes	—
277	C₃×C₄	C₂²×C₃×D₄	1	3	yes	—
278	C₃×C₄	C₂⁴×D₃	1	1	yes	characteristic
279	C₃×C₄	C₂⁵×C₃	1	1	yes	characteristic
280	Dic₃	C₂²×C₃×D₄	1	4	yes	—
281	C₃²	C₂²×#135	1	1	yes	characteristic, complemented, Sylow
282	C₂³	—	3	6	no	—
283	C₂³	—	6	4	no	—
284	C₂³	—	6	12	no	—
285	C₂³	—	12	8	no	—
286	C₂³	C₃×D₃×D₄	1	1	yes	characteristic
287	Q₈	—	2	12	no	—
288	Q₈	C₂³×C₃×D₃	1	8	yes	—
289	D₄	—	3	8	no	—
290	D₄	—	6	32	no	—
291	D₄	—	6	12	no	—
292	C₂×C₄	—	2	12	no	—
293	C₂×C₄	—	3	6	no	—
294	C₂×C₄	—	3	12	no	—
295	C₂×C₄	—	3	4	no	—
296	C₂×C₄	—	6	32	no	—
297	C₂×C₄	C₃×D₃×D₄	1	3	yes	—
298	C₂×C₄	C₂³×C₃×D₃	1	3	yes	—
299	C₈	—	3	4	no	—
300	C₈	C₂³×C₃×D₃	1	4	yes	—
301	C₂×C₃	—	2	6	no	—
302	C₂×C₃	—	2	1	no	—
303	C₂×C₃	—	6	4	no	—
304	C₂×C₃	—	12	8	no	—
305	C₂×C₃	C₂×#919	1	6	yes	direct product factor
306	C₂×C₃	C₂×C₃×#135	1	6	yes	complemented
307	C₂×C₃	C₂²×D₃×D₄	1	1	yes	characteristic
308	C₂×C₃	C₂³×C₃×D₄	1	1	yes	characteristic
309	D₃	—	2	4	no	—
310	D₃	—	4	8	no	—
311	C₂²	—	3	4	no	—
312	C₂²	—	6	12	no	—
313	C₂²	—	6	8	no	—
314	C₂²	—	12	24	no	—
315	C₂²	C₃×#919	1	4	yes	direct product factor
316	C₂²	C₂×C₃×D₃×D₄	1	3	yes	—
317	C₄	—	2	8	no	—
318	C₄	—	3	4	no	—
319	C₄	C₂×C₃×D₃×D₄	1	3	yes	—
320	C₄	C₂⁴×C₃×D₃	1	1	yes	characteristic
321	C₃	—	2	1	no	—
322	C₃	C₂²×#919	1	1	yes	characteristic, direct product factor
323	C₃	C₂²×C₃×#135	1	1	yes	characteristic, complemented
324	C₂	—	6	4	no	—
325	C₂	—	12	8	no	—
326	C₂	C₂×C₃×#919	1	6	yes	direct product factor
327	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×Q₁₆	C₂
socle	C₂³×C₃²	C₂×D₄
hypercenter	C₂²×C₃×Q₁₆	D₃
hypocenter	C₃	C₂²×C₃×#135
LCS	G ▷ C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂³×C₃ ◁ C₂²×C₃×C₄ ◁ C₂²×C₃×Q₁₆

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×#239	C₂	semidirect
2. C₂²×C₃²×Q₁₆	C₂	semidirect
3. C₂²×C₃×#215	C₂	semidirect
4. C₂×C₃×#919	C₂	direct (N × H)
5. C₂²×C₃×D₂₄	C₂	semidirect
6. C₂²×C₃×D₃×C₈	C₂	semidirect
8. C₂²×#919	C₃	direct (N × H)
11. C₂×C₃×#239	C₂²	semidirect
16. C₂×C₃²×Q₁₆	C₂²	semidirect
18. C₂×C₃×#215	C₂²	semidirect
20. C₃×#919	C₂²	direct (N × H)
21. C₂×C₃×D₂₄	C₂²	semidirect
22. C₂×C₃×D₃×C₈	C₂²	semidirect
24. C₂²×#239	C₂×C₃	semidirect
27. C₂²×C₃×Q₁₆	D₃	semidirect
28. C₂²×C₃×Q₁₆	C₂×C₃	semidirect
32. C₂²×#215	C₂×C₃	semidirect
33. C₂×#919	C₂×C₃	direct (N × H)
34. C₂²×D₂₄	C₂×C₃	semidirect
35. C₂²×D₃×C₈	C₂×C₃	semidirect
44. C₃×#239	C₂³	semidirect
51. C₃²×Q₁₆	C₂³	semidirect
53. C₃×#215	C₂³	semidirect
55. C₃×D₂₄	C₂³	semidirect
56. C₃×D₃×C₈	C₂³	semidirect
68. C₂×#239	C₂²×C₃	semidirect
75. C₂×C₃×Q₁₆	C₂×D₃	semidirect
76. C₂×C₃×Q₁₆	C₂²×C₃	semidirect
84. C₂×#215	C₂²×C₃	semidirect
86. #919	C₂²×C₃	direct (N × H)
87. C₂×D₂₄	C₂²×C₃	semidirect
88. C₂×D₃×C₈	C₂²×C₃	semidirect
110. C₂²×Q₁₆	C₃×D₃	semidirect
141. #239	C₂³×C₃	semidirect
149. C₃×Q₁₆	C₂²×D₃	semidirect
150. C₃×Q₁₆	C₂³×C₃	semidirect
158. #215	C₂³×C₃	semidirect
160. D₂₄	C₂³×C₃	semidirect
161. D₃×C₈	C₂³×C₃	semidirect
162. C₂²×C₃²	#135	semidirect
180. C₂×Q₁₆	C₂×C₃×D₃	semidirect
231. C₂×C₃²	C₂×#135	semidirect
250. Q₁₆	C₂²×C₃×D₃	semidirect
262. C₂²×C₃	#919	direct (N × H)
263. C₂²×C₃	C₃×#135	semidirect
281. C₃²	C₂²×#135	semidirect
305. C₂×C₃	C₂×#919	direct (N × H)
306. C₂×C₃	C₂×C₃×#135	semidirect
315. C₂²	C₃×#919	direct (N × H)
322. C₃	C₂²×#919	direct (N × H)
323. C₃	C₂²×C₃×#135	semidirect
326. C₂	C₂×C₃×#919	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×#239	2
C₂²×C₃²×Q₁₆	2
C₂²×C₃×#215	2
C₂×C₃×#919	2
C₂²×C₃×D₂₄	2
C₂²×C₃×D₃×C₈	2
C₂²×C₃×#135	3
C₂²×#919	3

Subgroups — C22×C3×#919 #11918606

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂²×C₃×#919 #11918606