Subgroups — C₃×#35338 #10653945

Order 768.

2422 conjugacy classes of subgroups.

The subgroup lattice has 358 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	C₂²×C₃×#124	C₂	1	1	yes	maximal, characteristic
3	C₃×#2861	C₂	1	4	yes	maximal, complemented
4	C₃×#2640	C₂	1	4	yes	maximal, complemented
5	C₃×#2592	C₂	1	8	yes	maximal, complemented
6	C₃×#2561	C₂	1	8	yes	maximal, complemented
7	C₃×#2310	C₂	1	2	yes	maximal, complemented
8	C₃×#2309	C₂	1	2	yes	maximal
9	C₃×C₄×#117	C₂	1	1	yes	maximal, characteristic, complemented
10	#35338	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
11	C₂³×C₃×Q₈	C₂²	1	1	yes	characteristic
12	C₂³×C₃×D₄	C₂²	1	1	yes	characteristic
13	C₃×#533	—	2	8	no	—
14	C₂×C₃×C₄⋊Q₈	C₂²	1	2	yes	complemented
15	C₂×C₃×#125	C₂²	1	2	yes	complemented
16	C₂×C₃×#124	—	2	8	no	—
17	C₂×C₃×#124	C₂²	1	2	yes	—
18	C₂×C₃×#124	C₂²	1	4	yes	—
19	C₂×C₃×#124	C₂²	1	2	yes	—
20	C₂×C₃×C₂²⋊Q₈	C₂²	1	4	yes	—
21	C₂×C₃×C₄×Q₈	C₂²	1	4	yes	complemented
22	C₂×C₃×#117	C₂²	1	2	yes	—
23	C₂×C₃×#117	C₂²	1	2	yes	—
24	C₂²×C₃×C₂²⋊C₄	C₂²	1	4	yes	—
25	C₂²×C₃×C₄²	C₂²	1	1	yes	characteristic
26	C₃×#397	C₂²	1	16	yes	complemented
27	C₃×#393	C₂²	1	16	yes	complemented
28	C₃×#391	C₂²	1	8	yes	complemented
29	C₃×#391	C₂²	1	8	yes	complemented
30	C₃×#390	C₂²	1	8	yes	—
31	C₃×#390	C₂²	1	8	yes	—
32	C₃×#388	C₂²	1	32	yes	complemented
33	C₃×#381	C₂²	1	8	yes	—
34	C₃×#379	C₂²	1	8	yes	—
35	C₃×C₄×C₄⋊C₄	C₂²	1	4	yes	complemented
36	C₃×C₄×C₂²⋊C₄	C₂²	1	4	yes	—
37	C₃×#376	C₂²	1	2	yes	complemented
38	C₃×C₄³	C₂²	1	2	yes	complemented
39	C₂×#533	C₂×C₃	1	1	yes	characteristic, complemented
40	C₂²×#124	C₂×C₃	1	1	yes	characteristic
41	#2861	C₂×C₃	1	4	yes	complemented
42	#2640	C₂×C₃	1	4	yes	complemented
43	#2592	C₂×C₃	1	8	yes	complemented
44	#2561	C₂×C₃	1	8	yes	complemented
45	#2310	C₂×C₃	1	2	yes	complemented
46	#2309	C₂×C₃	1	2	yes	—
47	C₄×#117	C₂×C₃	1	1	yes	characteristic, complemented
48	C₂⁵×C₃	C₂³	1	2	yes	—
49	C₂²×C₃×Q₈	—	2	4	no	—
50	C₂²×C₃×Q₈	—	2	8	no	—
51	C₂²×C₃×Q₈	C₂³	1	2	yes	—
52	C₂²×C₃×Q₈	C₂³	1	2	yes	—
53	C₂²×C₃×Q₈	C₂³	1	4	yes	—
54	C₂²×C₃×D₄	—	2	4	no	—
55	C₂²×C₃×D₄	—	2	8	no	—
56	C₂²×C₃×D₄	C₂³	1	2	yes	—
57	C₂²×C₃×D₄	C₂³	1	2	yes	—
58	C₂³×C₃×C₄	C₂³	1	2	yes	—
59	C₂³×C₃×C₄	C₂³	1	2	yes	—
60	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
61	C₃×C₄⋊Q₈	—	2	8	no	—
62	C₃×#125	—	2	8	no	—
63	C₃×#124	—	2	16	no	—
64	C₃×#124	—	2	8	no	—
65	C₃×#124	—	2	8	no	—
66	C₃×C₂²⋊Q₈	—	2	16	no	—
67	C₃×C₄×Q₈	—	2	16	no	—
68	C₃×#117	—	2	8	no	—
69	C₃×#117	—	2	8	no	—
70	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
71	C₂×C₃×C₄⋊C₄	C₂³	1	8	yes	—
72	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
73	C₂×C₃×C₄⋊C₄	C₂³	1	4	yes	—
74	C₂×C₃×C₂²⋊C₄	—	2	16	no	—
75	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
76	C₂×C₃×C₂²⋊C₄	C₂³	1	4	yes	—
77	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
78	C₂×C₃×C₂²⋊C₄	C₂³	1	8	yes	—
79	C₂×C₃×C₂²⋊C₄	C₂³	1	32	yes	—
80	C₂×C₃×C₄²	D₄	1	8	yes	—
81	C₂×C₃×C₄²	C₂³	1	4	yes	—
82	C₂×C₃×C₄²	C₂³	1	4	yes	—
83	C₂×C₃×C₄²	C₂³	1	8	yes	—
84	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
85	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
86	C₂×C₃×C₄²	C₂³	1	2	yes	—
87	C₃×#95	C₂³	1	8	yes	—
88	C₃×#95	C₂³	1	32	yes	—
89	C₂³×Q₈	C₂²×C₃	1	1	yes	characteristic
90	C₂³×D₄	C₂²×C₃	1	1	yes	characteristic
91	#533	—	2	8	no	—
92	C₂×C₄⋊Q₈	C₂²×C₃	1	2	yes	complemented
93	C₂×#125	C₂²×C₃	1	2	yes	complemented
94	C₂×#124	—	2	8	no	—
95	C₂×#124	C₂²×C₃	1	4	yes	—
96	C₂×#124	C₂²×C₃	1	2	yes	—
97	C₂×#124	C₂²×C₃	1	2	yes	—
98	C₂×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
99	C₂×C₄×Q₈	C₂²×C₃	1	4	yes	complemented
100	C₂×#117	C₂²×C₃	1	2	yes	—
101	C₂×#117	C₂²×C₃	1	2	yes	—
102	C₂²×C₂²⋊C₄	C₂²×C₃	1	4	yes	—
103	C₂²×C₄²	C₂²×C₃	1	1	yes	characteristic
104	#397	C₂²×C₃	1	16	yes	complemented
105	#393	C₂²×C₃	1	16	yes	complemented
106	#391	C₂²×C₃	1	8	yes	complemented
107	#391	C₂²×C₃	1	8	yes	complemented
108	#390	C₂²×C₃	1	8	yes	—
109	#390	C₂²×C₃	1	8	yes	—
110	#388	C₂²×C₃	1	32	yes	complemented
111	#381	C₂²×C₃	1	8	yes	—
112	#379	C₂²×C₃	1	8	yes	—
113	C₄×C₄⋊C₄	C₂²×C₃	1	4	yes	complemented
114	C₄×C₂²⋊C₄	C₂²×C₃	1	4	yes	—
115	#376	C₂²×C₃	1	2	yes	complemented
116	C₄³	C₂²×C₃	1	2	yes	complemented
117	C₂⁴×C₃	—	2	4	no	—
118	C₂⁴×C₃	—	2	8	no	—
119	C₂⁴×C₃	—	4	8	no	—
120	C₂⁴×C₃	C₂⁴	1	4	yes	—
121	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
122	C₂×C₃×Q₈	—	2	8	no	—
123	C₂×C₃×Q₈	—	2	4	no	—
124	C₂×C₃×Q₈	—	2	4	no	—
125	C₂×C₃×Q₈	—	2	8	no	—
126	C₂×C₃×Q₈	—	2	8	no	—
127	C₂×C₃×Q₈	—	4	8	no	—
128	C₂×C₃×Q₈	—	4	16	no	—
129	C₂×C₃×D₄	—	2	4	no	—
130	C₂×C₃×D₄	—	2	4	no	—
131	C₂×C₃×D₄	—	2	8	no	—
132	C₂×C₃×D₄	—	2	8	no	—
133	C₂×C₃×D₄	—	4	16	no	—
134	C₂²×C₃×C₄	—	2	4	no	—
135	C₂²×C₃×C₄	—	2	8	no	—
136	C₂²×C₃×C₄	—	4	4	no	—
137	C₂²×C₃×C₄	C₂×D₄	1	8	yes	—
138	C₂²×C₃×C₄	C₂×D₄	1	4	yes	—
139	C₂²×C₃×C₄	#41	1	8	yes	—
140	C₂²×C₃×C₄	C₂⁴	1	4	yes	—
141	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
142	C₂²×C₃×C₄	C₂⁴	1	8	yes	—
143	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
144	C₂²×C₃×C₄	C₂⁴	1	2	yes	—
145	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
146	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
147	C₃×C₄⋊C₄	—	2	8	no	—
148	C₃×C₄⋊C₄	—	2	16	no	—
149	C₃×C₄⋊C₄	—	2	8	no	—
150	C₃×C₄⋊C₄	—	2	8	no	—
151	C₃×C₂²⋊C₄	—	2	8	no	—
152	C₃×C₂²⋊C₄	—	2	8	no	—
153	C₃×C₂²⋊C₄	—	2	16	no	—
154	C₃×C₂²⋊C₄	—	2	16	no	—
155	C₃×C₂²⋊C₄	—	4	32	no	—
156	C₃×C₄²	—	2	8	no	—
157	C₃×C₄²	—	2	8	no	—
158	C₃×C₄²	—	4	8	no	—
159	C₃×C₄²	C₂×D₄	1	8	yes	—
160	C₃×C₄²	C₂×D₄	1	4	yes	—
161	C₃×C₄²	C₂×D₄	1	4	yes	—
162	C₂⁵	C₂³×C₃	1	2	yes	—
163	C₂²×Q₈	—	2	4	no	—
164	C₂²×Q₈	—	2	8	no	—
165	C₂²×Q₈	C₂³×C₃	1	2	yes	—
166	C₂²×Q₈	C₂³×C₃	1	2	yes	—
167	C₂²×Q₈	C₂³×C₃	1	4	yes	—
168	C₂²×D₄	—	2	4	no	—
169	C₂²×D₄	—	2	8	no	—
170	C₂²×D₄	C₂³×C₃	1	2	yes	—
171	C₂²×D₄	C₂³×C₃	1	2	yes	—
172	C₂³×C₄	C₂³×C₃	1	2	yes	—
173	C₂³×C₄	C₂³×C₃	1	2	yes	—
174	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
175	C₄⋊Q₈	—	2	8	no	—
176	#125	—	2	8	no	—
177	#124	—	2	16	no	—
178	#124	—	2	8	no	—
179	#124	—	2	8	no	—
180	C₂²⋊Q₈	—	2	16	no	—
181	C₄×Q₈	—	2	16	no	—
182	#117	—	2	8	no	—
183	#117	—	2	8	no	—
184	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
185	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
186	C₂×C₄⋊C₄	C₂³×C₃	1	8	yes	—
187	C₂×C₄⋊C₄	C₂³×C₃	1	4	yes	—
188	C₂×C₂²⋊C₄	—	2	16	no	—
189	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
190	C₂×C₂²⋊C₄	C₂³×C₃	1	8	yes	—
191	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
192	C₂×C₂²⋊C₄	C₂³×C₃	1	4	yes	—
193	C₂×C₂²⋊C₄	C₂³×C₃	1	32	yes	—
194	C₂×C₄²	C₃×D₄	1	8	yes	—
195	C₂×C₄²	C₂³×C₃	1	4	yes	—
196	C₂×C₄²	C₂³×C₃	1	4	yes	—
197	C₂×C₄²	C₂³×C₃	1	8	yes	—
198	C₂×C₄²	C₂³×C₃	1	2	yes	—
199	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
200	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
201	#95	C₂³×C₃	1	8	yes	—
202	#95	C₂³×C₃	1	32	yes	—
203	C₂³×C₃	—	2	4	no	—
204	C₂³×C₃	—	2	4	no	—
205	C₂³×C₃	—	2	8	no	—
206	C₂³×C₃	—	2	16	no	—
207	C₂³×C₃	—	4	16	no	—
208	C₂³×C₃	—	4	8	no	—
209	C₂³×C₃	—	8	16	no	—
210	C₂³×C₃	C₂²×D₄	1	2	yes	—
211	C₂³×C₃	C₂×#41	1	4	yes	—
212	C₂³×C₃	C₂⁵	1	1	yes	characteristic
213	C₃×Q₈	—	4	16	no	—
214	C₃×Q₈	—	4	8	no	—
215	C₃×Q₈	—	4	8	no	—
216	C₃×D₄	—	4	8	no	—
217	C₃×D₄	—	4	8	no	—
218	C₂×C₃×C₄	—	2	4	no	—
219	C₂×C₃×C₄	—	2	4	no	—
220	C₂×C₃×C₄	—	2	8	no	—
221	C₂×C₃×C₄	—	2	4	no	—
222	C₂×C₃×C₄	—	2	8	no	—
223	C₂×C₃×C₄	—	2	8	no	—
224	C₂×C₃×C₄	—	2	16	no	—
225	C₂×C₃×C₄	—	2	16	no	—
226	C₂×C₃×C₄	—	4	8	no	—
227	C₂×C₃×C₄	—	4	8	no	—
228	C₂×C₃×C₄	#124	1	16	yes	—
229	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
230	C₂×C₃×C₄	C₂²×D₄	1	4	yes	—
231	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
232	C₂×C₃×C₄	C₂²×D₄	1	2	yes	—
233	C₂×C₃×C₄	C₂×#41	1	4	yes	—
234	C₂×C₃×C₄	C₂×#41	1	4	yes	—
235	C₂⁴	—	2	4	no	—
236	C₂⁴	—	2	8	no	—
237	C₂⁴	—	4	8	no	—
238	C₂⁴	C₂⁴×C₃	1	4	yes	—
239	C₂⁴	C₂⁴×C₃	1	1	yes	characteristic
240	C₂×Q₈	—	2	8	no	—
241	C₂×Q₈	—	2	4	no	—
242	C₂×Q₈	—	2	4	no	—
243	C₂×Q₈	—	2	8	no	—
244	C₂×Q₈	—	2	8	no	—
245	C₂×Q₈	—	4	8	no	—
246	C₂×Q₈	—	4	16	no	—
247	C₂×D₄	—	2	4	no	—
248	C₂×D₄	—	2	4	no	—
249	C₂×D₄	—	2	8	no	—
250	C₂×D₄	—	2	8	no	—
251	C₂×D₄	—	4	16	no	—
252	C₂²×C₄	—	2	4	no	—
253	C₂²×C₄	—	2	8	no	—
254	C₂²×C₄	—	4	4	no	—
255	C₂²×C₄	C₂×C₃×D₄	1	8	yes	—
256	C₂²×C₄	C₂×C₃×D₄	1	4	yes	—
257	C₂²×C₄	C₃×#41	1	8	yes	—
258	C₂²×C₄	C₂⁴×C₃	1	4	yes	—
259	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
260	C₂²×C₄	C₂⁴×C₃	1	8	yes	—
261	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
262	C₂²×C₄	C₂⁴×C₃	1	2	yes	—
263	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
264	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
265	C₄⋊C₄	—	2	8	no	—
266	C₄⋊C₄	—	2	16	no	—
267	C₄⋊C₄	—	2	8	no	—
268	C₄⋊C₄	—	2	8	no	—
269	C₂²⋊C₄	—	2	8	no	—
270	C₂²⋊C₄	—	2	8	no	—
271	C₂²⋊C₄	—	2	16	no	—
272	C₂²⋊C₄	—	2	16	no	—
273	C₂²⋊C₄	—	4	32	no	—
274	C₄²	—	2	8	no	—
275	C₄²	—	2	8	no	—
276	C₄²	—	4	8	no	—
277	C₄²	C₂×C₃×D₄	1	8	yes	—
278	C₄²	C₂×C₃×D₄	1	4	yes	—
279	C₄²	C₂×C₃×D₄	1	4	yes	—
280	C₂²×C₃	—	2	4	no	—
281	C₂²×C₃	—	2	8	no	—
282	C₂²×C₃	—	4	4	no	—
283	C₂²×C₃	—	4	8	no	—
284	C₂²×C₃	—	4	16	no	—
285	C₂²×C₃	—	8	16	no	—
286	C₂²×C₃	C₂×#124	1	4	yes	—
287	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
288	C₂²×C₃	C₂²×#41	1	2	yes	—
289	C₂²×C₃	#585	1	4	yes	—
290	C₃×C₄	—	2	4	no	—
291	C₃×C₄	—	2	4	no	—
292	C₃×C₄	—	4	4	no	—
293	C₃×C₄	—	4	8	no	—
294	C₃×C₄	—	4	8	no	—
295	C₃×C₄	C₂×#124	1	4	yes	—
296	C₃×C₄	C₂×#124	1	4	yes	—
297	C₂³	—	2	4	no	—
298	C₂³	—	2	4	no	—
299	C₂³	—	2	8	no	—
300	C₂³	—	2	16	no	—
301	C₂³	—	4	16	no	—
302	C₂³	—	4	8	no	—
303	C₂³	—	8	16	no	—
304	C₂³	C₂²×C₃×D₄	1	2	yes	—
305	C₂³	C₂×C₃×#41	1	4	yes	—
306	C₂³	C₂⁵×C₃	1	1	yes	characteristic
307	Q₈	—	4	16	no	—
308	Q₈	—	4	8	no	—
309	Q₈	—	4	8	no	—
310	D₄	—	4	8	no	—
311	D₄	—	4	8	no	—
312	C₂×C₄	—	2	4	no	—
313	C₂×C₄	—	2	4	no	—
314	C₂×C₄	—	2	8	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	2	8	no	—
317	C₂×C₄	—	2	8	no	—
318	C₂×C₄	—	2	16	no	—
319	C₂×C₄	—	2	16	no	—
320	C₂×C₄	—	4	8	no	—
321	C₂×C₄	—	4	8	no	—
322	C₂×C₄	C₃×#124	1	16	yes	—
323	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
324	C₂×C₄	C₂²×C₃×D₄	1	4	yes	—
325	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
326	C₂×C₄	C₂²×C₃×D₄	1	2	yes	—
327	C₂×C₄	C₂×C₃×#41	1	4	yes	—
328	C₂×C₄	C₂×C₃×#41	1	4	yes	—
329	C₂×C₃	—	2	4	no	—
330	C₂×C₃	—	8	4	no	—
331	C₂×C₃	C₂²×#124	1	1	yes	characteristic
332	C₂×C₃	#3449	1	2	yes	—
333	C₂×C₃	#3510	1	4	yes	—
334	C₂²	—	2	4	no	—
335	C₂²	—	2	8	no	—
336	C₂²	—	4	4	no	—
337	C₂²	—	4	8	no	—
338	C₂²	—	4	16	no	—
339	C₂²	—	8	16	no	—
340	C₂²	C₂×C₃×#124	1	4	yes	—
341	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
342	C₂²	C₂²×C₃×#41	1	2	yes	—
343	C₂²	C₃×#585	1	4	yes	—
344	C₄	—	2	4	no	—
345	C₄	—	2	4	no	—
346	C₄	—	4	4	no	—
347	C₄	—	4	8	no	—
348	C₄	—	4	8	no	—
349	C₄	C₂×C₃×#124	1	4	yes	—
350	C₄	C₂×C₃×#124	1	4	yes	—
351	C₃	#35338	1	1	yes	characteristic, direct product factor, Sylow
352	C₂	—	2	4	no	—
353	C₂	—	8	4	no	—
354	C₂	C₂²×C₃×#124	1	1	yes	characteristic
355	C₂	C₃×#3449	1	2	yes	—
356	C₂	C₃×#3510	1	4	yes	—

	subgroup	G/H
center, socle	C₂³×C₃	C₂⁵
commutator, Frattini, cosocle	C₂³	C₂⁵×C₃
prime radical	C₂³×C₃×D₄	C₂²
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃ ◁ 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×#2861	C₂	semidirect
4. C₃×#2640	C₂	semidirect
5. C₃×#2592	C₂	semidirect
6. C₃×#2561	C₂	semidirect
7. C₃×#2310	C₂	semidirect
9. C₃×C₄×#117	C₂	semidirect
10. #35338	C₃	direct (N × H)
14. C₂×C₃×C₄⋊Q₈	C₂²	semidirect
15. C₂×C₃×#125	C₂²	semidirect
21. C₂×C₃×C₄×Q₈	C₂²	semidirect
26. C₃×#397	C₂²	semidirect
27. C₃×#393	C₂²	semidirect
28. C₃×#391	C₂²	semidirect
29. C₃×#391	C₂²	semidirect
32. C₃×#388	C₂²	semidirect
35. C₃×C₄×C₄⋊C₄	C₂²	semidirect
37. C₃×#376	C₂²	semidirect
38. C₃×C₄³	C₂²	semidirect
39. C₂×#533	C₂×C₃	semidirect
41. #2861	C₂×C₃	semidirect
42. #2640	C₂×C₃	semidirect
43. #2592	C₂×C₃	semidirect
44. #2561	C₂×C₃	semidirect
45. #2310	C₂×C₃	semidirect
47. C₄×#117	C₂×C₃	semidirect
92. C₂×C₄⋊Q₈	C₂²×C₃	semidirect
93. C₂×#125	C₂²×C₃	semidirect
99. C₂×C₄×Q₈	C₂²×C₃	semidirect
104. #397	C₂²×C₃	semidirect
105. #393	C₂²×C₃	semidirect
106. #391	C₂²×C₃	semidirect
107. #391	C₂²×C₃	semidirect
110. #388	C₂²×C₃	semidirect
113. C₄×C₄⋊C₄	C₂²×C₃	semidirect
115. #376	C₂²×C₃	semidirect
116. C₄³	C₂²×C₃	semidirect
351. C₃	#35338	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
C₂²×C₃×#124	2
C₃×#2861	2
C₃×#2640	2
C₃×#2592	2
C₃×#2561	2
C₃×#2310	2
C₃×#2309	2
C₃×C₄×#117	2
#35338	3

Subgroups — C3×#35338 #10653945

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#35338 #10653945