Subgroups — C₃×#78518 #11858860

Order 1152.

855 conjugacy classes of subgroups.

The subgroup lattice has 351 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×#872	C₂	1	1	yes	maximal, characteristic
2	C₃²×C₄×M₁₆	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#5126	C₂	1	2	yes	maximal
4	C₃×#5118	C₂	1	2	yes	maximal, complemented
5	C₃×C₄×#208	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#4709	C₂	1	4	yes	maximal, complemented
7	C₃×#4690	C₂	1	4	yes	maximal, complemented
8	C₃×#2921	—	3	1	no	maximal
9	#78518	C₃	1	1	yes	maximal, characteristic, direct product factor
10	C₂²×C₃×C₄×D₃	C₂²	1	1	yes	characteristic
11	C₂×C₃²×M₁₆	C₂²	1	2	yes	—
12	C₂×C₃²×C₄²	C₂²	1	1	yes	characteristic
13	C₂×C₃×(C₂×D₃)⋊C₄	C₄	1	2	yes	—
14	C₂×C₃×Dic₃⋊C₄	C₄	1	2	yes	—
15	C₂×C₃×C₄×Dic₃	C₂²	1	1	yes	characteristic
16	C₂×C₃×#208	C₂²	1	2	yes	—
17	C₃×#872	C₄	1	4	yes	—
18	C₃×#872	C₂²	1	2	yes	—
19	C₃×#872	C₂²	1	2	yes	—
20	C₃²×#97	C₂²	1	2	yes	complemented
21	C₃²×C₄×C₈	C₂²	1	2	yes	complemented
22	C₃×(C₂×D₃)⋊C₈	C₂²	1	8	yes	—
23	C₃×Dic₃⋊C₈	C₂²	1	8	yes	complemented
24	C₃×#803	C₂²	1	2	yes	complemented
25	C₃×C₄×C₃⋊C₈	C₂²	1	2	yes	complemented
26	C₂×C₃×#117	—	3	1	no	—
27	C₂×#872	C₂×C₃	1	1	yes	characteristic
28	C₃×#433	—	3	4	no	—
29	C₃×#433	—	3	4	no	—
30	C₃×#423	—	3	2	no	—
31	C₃×#407	—	3	2	no	—
32	C₃×C₄×M₁₆	—	2	1	no	—
33	C₃×C₄×M₁₆	—	3	1	no	—
34	C₃×C₄×M₁₆	D₃	1	1	yes	characteristic, complemented
35	C₃×C₄×M₁₆	C₂×C₃	1	1	yes	characteristic, complemented
36	#5126	C₂×C₃	1	2	yes	—
37	#5118	C₂×C₃	1	2	yes	complemented
38	C₄×#208	C₂×C₃	1	1	yes	characteristic, complemented
39	#4709	C₂×C₃	1	4	yes	complemented
40	#4690	C₂×C₃	1	4	yes	complemented
41	C₂³×C₃×D₃	C₂×C₄	1	1	yes	characteristic
42	C₂²×C₃²×C₄	C₂×C₄	1	2	yes	—
43	C₂²×C₃²×C₄	C₂³	1	1	yes	characteristic
44	C₂²×C₃×Dic₃	C₂×C₄	1	1	yes	characteristic
45	C₂²×C₃×Dic₃	C₂×C₄	1	2	yes	—
46	C₂×C₃×C₄×D₃	—	2	4	no	—
47	C₂×C₃×C₄×D₃	C₂×C₄	1	2	yes	—
48	C₂×C₃×C₄×D₃	C₂³	1	2	yes	—
49	C₃²×M₁₆	—	2	4	no	—
50	C₂×C₃²×C₈	C₂³	1	4	yes	—
51	C₃²×C₄²	C₂×C₄	1	2	yes	—
52	C₃²×C₄²	C₂³	1	1	yes	characteristic
53	C₃²×C₄²	C₂³	1	1	yes	characteristic
54	C₃×(C₂×D₃)⋊C₄	C₂×C₄	1	4	yes	—
55	C₃×(C₂×D₃)⋊C₄	C₂×C₄	1	4	yes	—
56	C₃×Dic₃⋊C₄	C₂×C₄	1	4	yes	—
57	C₃×Dic₃⋊C₄	C₂×C₄	1	4	yes	—
58	C₃×C₄×Dic₃	C₂×C₄	1	2	yes	—
59	C₃×C₄×Dic₃	C₂³	1	2	yes	—
60	C₃×#208	—	2	4	no	—
61	C₂×C₃×C₃⋊C₈	C₂³	1	4	yes	—
62	#2921	—	3	1	no	Sylow
63	C₂³×C₃×C₄	—	3	1	no	—
64	C₂²×C₄×D₃	C₂²×C₃	1	1	yes	characteristic
65	C₂×C₃×M₁₆	—	2	2	no	—
66	C₂×C₃×M₁₆	—	3	2	no	—
67	C₂×C₃×M₁₆	C₂×D₃	1	2	yes	—
68	C₂×C₃×M₁₆	C₂²×C₃	1	2	yes	—
69	C₃×#117	—	3	4	no	—
70	C₃×#117	—	3	2	no	—
71	C₃×#117	—	3	2	no	—
72	C₂×C₃×C₄⋊C₄	—	3	2	no	—
73	C₂×C₃×C₂²⋊C₄	—	3	2	no	—
74	C₂×C₃×C₄²	—	2	1	no	—
75	C₂×C₃×C₄²	—	3	1	no	—
76	C₂×C₃×C₄²	C₂×D₃	1	1	yes	characteristic
77	C₂×C₃×C₄²	C₂²×C₃	1	1	yes	characteristic
78	C₂×(C₂×D₃)⋊C₄	C₃×C₄	1	2	yes	—
79	C₂×Dic₃⋊C₄	C₃×C₄	1	2	yes	—
80	C₂×C₄×Dic₃	C₂²×C₃	1	1	yes	characteristic
81	C₂×#208	C₂²×C₃	1	2	yes	—
82	#872	C₃×C₄	1	4	yes	—
83	#872	C₂²×C₃	1	2	yes	—
84	#872	C₂²×C₃	1	2	yes	—
85	C₃×C₄⋊C₈	—	3	8	no	—
86	C₃×C₂²⋊C₈	—	3	8	no	—
87	C₃×#97	—	2	2	no	—
88	C₃×#97	—	3	2	no	—
89	C₃×#97	C₂×D₃	1	2	yes	complemented
90	C₃×#97	C₂²×C₃	1	2	yes	complemented
91	C₃×C₄×C₈	—	2	2	no	—
92	C₃×C₄×C₈	—	3	2	no	—
93	C₃×C₄×C₈	C₂×D₃	1	2	yes	complemented
94	C₃×C₄×C₈	C₂²×C₃	1	2	yes	complemented
95	(C₂×D₃)⋊C₈	C₂²×C₃	1	8	yes	—
96	Dic₃⋊C₈	C₂²×C₃	1	8	yes	complemented
97	#803	C₂²×C₃	1	2	yes	complemented
98	C₄×C₃⋊C₈	C₂²×C₃	1	2	yes	complemented
99	C₂³×C₃²	C₂²×C₄	1	1	yes	characteristic
100	C₂²×C₃×D₃	—	2	2	no	—
101	C₂²×C₃×D₃	—	4	2	no	—
102	C₂²×C₃×D₃	C₂²×C₄	1	2	yes	—
103	C₂×C₃²×C₄	—	4	2	no	—
104	C₂×C₃²×C₄	C₂²×C₄	1	2	yes	—
105	C₂×C₃²×C₄	C₂²×C₄	1	2	yes	—
106	C₂×C₃²×C₄	C₂²×C₄	1	1	yes	characteristic
107	C₂×C₃²×C₄	#41	1	4	yes	—
108	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
109	C₂×C₃×Dic₃	—	2	2	no	—
110	C₂×C₃×Dic₃	—	4	2	no	—
111	C₂×C₃×Dic₃	C₂²×C₄	1	4	yes	—
112	C₂×C₃×Dic₃	C₂²×C₄	1	2	yes	—
113	C₃×C₄×D₃	—	2	4	no	—
114	C₃×C₄×D₃	—	2	4	no	—
115	C₃²×C₈	—	2	4	no	—
116	C₃×C₃⋊C₈	—	2	4	no	—
117	C₂×#117	—	3	1	no	—
118	#433	—	3	4	no	—
119	#433	—	3	4	no	—
120	#423	—	3	2	no	—
121	#407	—	3	2	no	—
122	C₄×M₁₆	—	3	1	no	—
123	C₄×M₁₆	C₃×D₃	1	1	yes	characteristic, complemented
124	C₂⁴×C₃	—	3	1	no	—
125	C₂³×D₃	C₂×C₃×C₄	1	1	yes	characteristic
126	C₂²×C₃×C₄	—	2	2	no	—
127	C₂²×C₃×C₄	—	2	1	no	—
128	C₂²×C₃×C₄	—	3	1	no	—
129	C₂²×C₃×C₄	—	3	2	no	—
130	C₂²×C₃×C₄	—	3	2	no	—
131	C₂²×C₃×C₄	—	3	2	no	—
132	C₂²×C₃×C₄	—	6	4	no	—
133	C₂²×C₃×C₄	C₄×D₃	1	2	yes	—
134	C₂²×C₃×C₄	C₂×C₃×C₄	1	2	yes	—
135	C₂²×C₃×C₄	C₂²×D₃	1	1	yes	characteristic
136	C₂²×C₃×C₄	C₂³×C₃	1	1	yes	characteristic
137	C₂²×Dic₃	C₂×C₃×C₄	1	1	yes	characteristic
138	C₂²×Dic₃	C₂×C₃×C₄	1	2	yes	—
139	C₂×C₄×D₃	—	2	4	no	—
140	C₂×C₄×D₃	C₂×C₃×C₄	1	2	yes	—
141	C₂×C₄×D₃	C₂³×C₃	1	2	yes	—
142	C₃×M₁₆	—	2	8	no	—
143	C₃×M₁₆	—	2	4	no	—
144	C₃×M₁₆	—	2	4	no	—
145	C₃×M₁₆	—	6	4	no	—
146	C₂×C₃×C₈	—	2	4	no	—
147	C₂×C₃×C₈	—	3	4	no	—
148	C₂×C₃×C₈	C₂²×D₃	1	4	yes	—
149	C₂×C₃×C₈	C₂³×C₃	1	4	yes	—
150	C₃×C₄⋊C₄	—	3	4	no	—
151	C₃×C₄⋊C₄	—	3	4	no	—
152	C₃×C₂²⋊C₄	—	3	4	no	—
153	C₃×C₂²⋊C₄	—	3	4	no	—
154	C₃×C₄²	—	2	2	no	—
155	C₃×C₄²	—	2	1	no	—
156	C₃×C₄²	—	2	1	no	—
157	C₃×C₄²	—	3	2	no	—
158	C₃×C₄²	—	3	2	no	—
159	C₃×C₄²	C₄×D₃	1	2	yes	—
160	C₃×C₄²	C₂×C₃×C₄	1	2	yes	—
161	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
162	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
163	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
164	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
165	(C₂×D₃)⋊C₄	C₂×C₃×C₄	1	4	yes	—
166	(C₂×D₃)⋊C₄	C₂×C₃×C₄	1	4	yes	—
167	Dic₃⋊C₄	C₂×C₃×C₄	1	4	yes	—
168	Dic₃⋊C₄	C₂×C₃×C₄	1	4	yes	—
169	C₄×Dic₃	C₂×C₃×C₄	1	2	yes	—
170	C₄×Dic₃	C₂³×C₃	1	2	yes	—
171	#208	—	2	4	no	—
172	C₂×C₃⋊C₈	C₂³×C₃	1	4	yes	—
173	C₂²×C₃²	—	2	2	no	—
174	C₂²×C₃²	#117	1	2	yes	—
175	C₂²×C₃²	C₂³×C₄	1	1	yes	characteristic
176	C₂×C₃×D₃	—	2	2	no	—
177	C₂×C₃×D₃	—	2	4	no	—
178	C₂×C₃×D₃	—	4	4	no	—
179	C₃²×C₄	—	2	2	no	—
180	C₃²×C₄	—	2	2	no	—
181	C₃²×C₄	#117	1	2	yes	—
182	C₃²×C₄	C₂×#41	1	2	yes	—
183	C₃×Dic₃	—	2	2	no	—
184	C₃×Dic₃	—	2	4	no	—
185	C₂³×C₄	—	3	1	no	—
186	C₂×M₁₆	—	3	2	no	—
187	C₂×M₁₆	C₂×C₃×D₃	1	2	yes	—
188	#117	—	3	4	no	—
189	#117	—	3	2	no	—
190	#117	—	3	2	no	—
191	C₂×C₄⋊C₄	—	3	2	no	—
192	C₂×C₂²⋊C₄	—	3	2	no	—
193	C₂×C₄²	—	3	1	no	—
194	C₂×C₄²	C₂×C₃×D₃	1	1	yes	characteristic
195	C₄⋊C₈	—	3	8	no	—
196	C₂²⋊C₈	—	3	8	no	—
197	#97	—	3	2	no	—
198	#97	C₂×C₃×D₃	1	2	yes	complemented
199	C₄×C₈	—	3	2	no	—
200	C₄×C₈	C₂×C₃×D₃	1	2	yes	complemented
201	C₂³×C₃	—	2	1	no	—
202	C₂³×C₃	—	3	2	no	—
203	C₂³×C₃	—	6	2	no	—
204	C₂³×C₃	—	12	2	no	—
205	C₂³×C₃	C₂×C₄×D₃	1	1	yes	characteristic
206	C₂³×C₃	C₂²×C₃×C₄	1	1	yes	characteristic
207	C₂²×D₃	—	2	2	no	—
208	C₂²×D₃	—	4	2	no	—
209	C₂²×D₃	C₂²×C₃×C₄	1	2	yes	—
210	C₂×C₃×C₄	—	2	1	no	—
211	C₂×C₃×C₄	—	2	2	no	—
212	C₂×C₃×C₄	—	2	1	no	—
213	C₂×C₃×C₄	—	2	2	no	—
214	C₂×C₃×C₄	—	2	4	no	—
215	C₂×C₃×C₄	—	3	4	no	—
216	C₂×C₃×C₄	—	3	2	no	—
217	C₂×C₃×C₄	—	4	2	no	—
218	C₂×C₃×C₄	—	4	2	no	—
219	C₂×C₃×C₄	—	4	4	no	—
220	C₂×C₃×C₄	—	6	2	no	—
221	C₂×C₃×C₄	—	6	4	no	—
222	C₂×C₃×C₄	—	6	4	no	—
223	C₂×C₃×C₄	—	12	2	no	—
224	C₂×C₃×C₄	C₂×C₄×D₃	1	2	yes	—
225	C₂×C₃×C₄	C₂×C₄×D₃	1	2	yes	—
226	C₂×C₃×C₄	C₂×C₄×D₃	1	1	yes	characteristic
227	C₂×C₃×C₄	#235	1	4	yes	—
228	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
229	C₂×C₃×C₄	C₂²×C₃×C₄	1	2	yes	—
230	C₂×C₃×C₄	C₂²×C₃×C₄	1	1	yes	characteristic
231	C₂×C₃×C₄	C₃×#41	1	4	yes	—
232	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
233	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
234	C₂×Dic₃	—	2	2	no	—
235	C₂×Dic₃	—	4	2	no	—
236	C₂×Dic₃	C₂²×C₃×C₄	1	4	yes	—
237	C₂×Dic₃	C₂²×C₃×C₄	1	2	yes	—
238	C₄×D₃	—	2	4	no	—
239	C₄×D₃	—	2	4	no	—
240	C₃×C₈	—	2	8	no	—
241	C₃×C₈	—	2	4	no	—
242	C₃×C₈	—	2	4	no	—
243	C₃×C₈	—	6	4	no	—
244	C₃⋊C₈	—	2	4	no	—
245	C₂×C₃²	—	2	2	no	—
246	C₂×C₃²	C₂×#117	1	1	yes	characteristic
247	C₂×C₃²	#568	1	2	yes	—
248	C₃×D₃	—	4	2	no	—
249	C₂⁴	—	3	1	no	—
250	C₂²×C₄	—	3	1	no	—
251	C₂²×C₄	—	3	2	no	—
252	C₂²×C₄	—	3	2	no	—
253	C₂²×C₄	—	3	2	no	—
254	C₂²×C₄	—	6	4	no	—
255	C₂²×C₄	C₃×C₄×D₃	1	2	yes	—
256	C₂²×C₄	C₂²×C₃×D₃	1	1	yes	characteristic
257	M₁₆	—	2	4	no	—
258	M₁₆	—	6	4	no	—
259	C₂×C₈	—	3	4	no	—
260	C₂×C₈	C₂²×C₃×D₃	1	4	yes	—
261	C₄⋊C₄	—	3	4	no	—
262	C₄⋊C₄	—	3	4	no	—
263	C₂²⋊C₄	—	3	4	no	—
264	C₂²⋊C₄	—	3	4	no	—
265	C₄²	—	3	2	no	—
266	C₄²	—	3	2	no	—
267	C₄²	C₃×C₄×D₃	1	2	yes	—
268	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
269	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
270	C₂²×C₃	—	2	2	no	—
271	C₂²×C₃	—	2	2	no	—
272	C₂²×C₃	—	2	1	no	—
273	C₂²×C₃	—	2	2	no	—
274	C₂²×C₃	—	4	2	no	—
275	C₂²×C₃	—	6	2	no	—
276	C₂²×C₃	—	6	4	no	—
277	C₂²×C₃	—	12	4	no	—
278	C₂²×C₃	#872	1	2	yes	—
279	C₂²×C₃	C₃×#117	1	2	yes	—
280	C₂²×C₃	C₂²×C₄×D₃	1	1	yes	characteristic
281	C₂²×C₃	C₂³×C₃×C₄	1	1	yes	characteristic
282	C₂×D₃	—	2	4	no	—
283	C₂×D₃	—	2	2	no	—
284	C₂×D₃	—	4	4	no	—
285	C₃×C₄	—	2	4	no	—
286	C₃×C₄	—	2	2	no	—
287	C₃×C₄	—	2	2	no	—
288	C₃×C₄	—	2	2	no	—
289	C₃×C₄	—	2	2	no	—
290	C₃×C₄	—	2	2	no	—
291	C₃×C₄	—	2	2	no	—
292	C₃×C₄	—	4	2	no	—
293	C₃×C₄	—	6	2	no	—
294	C₃×C₄	—	6	4	no	—
295	C₃×C₄	#872	1	2	yes	—
296	C₃×C₄	C₃×#117	1	2	yes	—
297	C₃×C₄	C₂×#235	1	2	yes	—
298	C₃×C₄	C₂×C₃×#41	1	2	yes	—
299	Dic₃	—	2	4	no	—
300	Dic₃	—	2	2	no	—
301	C₃²	#2921	1	1	yes	characteristic, complemented, Sylow
302	C₂³	—	3	2	no	—
303	C₂³	—	6	2	no	—
304	C₂³	—	12	2	no	—
305	C₂³	C₂×C₃×C₄×D₃	1	1	yes	characteristic
306	C₂×C₄	—	3	4	no	—
307	C₂×C₄	—	3	2	no	—
308	C₂×C₄	—	4	2	no	—
309	C₂×C₄	—	6	2	no	—
310	C₂×C₄	—	6	4	no	—
311	C₂×C₄	—	6	4	no	—
312	C₂×C₄	—	12	2	no	—
313	C₂×C₄	C₂×C₃×C₄×D₃	1	2	yes	—
314	C₂×C₄	C₂×C₃×C₄×D₃	1	2	yes	—
315	C₂×C₄	C₂×C₃×C₄×D₃	1	1	yes	characteristic
316	C₂×C₄	C₃×#235	1	4	yes	—
317	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
318	C₈	—	2	4	no	—
319	C₈	—	6	4	no	—
320	C₂×C₃	—	2	2	no	—
321	C₂×C₃	—	2	2	no	—
322	C₂×C₃	—	2	2	no	—
323	C₂×C₃	—	2	1	no	—
324	C₂×C₃	—	4	2	no	—
325	C₂×C₃	—	12	2	no	—
326	C₂×C₃	C₂×#872	1	1	yes	characteristic
327	C₂×C₃	#5745	1	2	yes	—
328	C₂×C₃	C₂×C₃×#117	1	1	yes	characteristic
329	C₂×C₃	C₃×#568	1	2	yes	—
330	D₃	—	4	2	no	—
331	C₂²	—	2	2	no	—
332	C₂²	—	6	4	no	—
333	C₂²	—	6	2	no	—
334	C₂²	—	12	4	no	—
335	C₂²	C₃×#872	1	2	yes	—
336	C₂²	C₂²×C₃×C₄×D₃	1	1	yes	characteristic
337	C₄	—	2	2	no	—
338	C₄	—	2	2	no	—
339	C₄	—	6	4	no	—
340	C₄	—	6	2	no	—
341	C₄	C₃×#872	1	2	yes	—
342	C₄	C₂×C₃×#235	1	2	yes	—
343	C₃	—	2	1	no	—
344	C₃	#78518	1	1	yes	characteristic, direct product factor
345	C₃	C₃×#2921	1	1	yes	characteristic, complemented
346	C₂	—	2	2	no	—
347	C₂	—	12	2	no	—
348	C₂	C₂×C₃×#872	1	1	yes	characteristic
349	C₂	C₃×#5745	1	2	yes	—

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₃
commutator	C₂²×C₃	C₂³×C₃×C₄
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×C₄×M₁₆	C₂
socle	C₂²×C₃²	C₂³×C₄
prime radical	C₂³×C₃×D₃	C₂×C₄
cosocle	C₂×C₃×C₄	C₂⁴×C₃
hypercenter	C₃×C₄×M₁₆	D₃
hypocenter	C₃	C₃×#2921
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×C₄×M₁₆

Complements

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

N	H ≅ G/N	type
2. C₃²×C₄×M₁₆	C₂	semidirect
4. C₃×#5118	C₂	semidirect
5. C₃×C₄×#208	C₂	semidirect
6. C₃×#4709	C₂	semidirect
7. C₃×#4690	C₂	semidirect
9. #78518	C₃	direct (N × H)
20. C₃²×#97	C₂²	semidirect
21. C₃²×C₄×C₈	C₂²	semidirect
23. C₃×Dic₃⋊C₈	C₂²	semidirect
24. C₃×#803	C₂²	semidirect
25. C₃×C₄×C₃⋊C₈	C₂²	semidirect
34. C₃×C₄×M₁₆	D₃	semidirect
35. C₃×C₄×M₁₆	C₂×C₃	semidirect
37. #5118	C₂×C₃	semidirect
38. C₄×#208	C₂×C₃	semidirect
39. #4709	C₂×C₃	semidirect
40. #4690	C₂×C₃	semidirect
89. C₃×#97	C₂×D₃	semidirect
90. C₃×#97	C₂²×C₃	semidirect
93. C₃×C₄×C₈	C₂×D₃	semidirect
94. C₃×C₄×C₈	C₂²×C₃	semidirect
96. Dic₃⋊C₈	C₂²×C₃	semidirect
97. #803	C₂²×C₃	semidirect
98. C₄×C₃⋊C₈	C₂²×C₃	semidirect
123. C₄×M₁₆	C₃×D₃	semidirect
198. #97	C₂×C₃×D₃	semidirect
200. C₄×C₈	C₂×C₃×D₃	semidirect
301. C₃²	#2921	semidirect
344. C₃	#78518	direct (N × H)
345. C₃	C₃×#2921	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×#872	2
C₃²×C₄×M₁₆	2
C₃×#5126	2
C₃×#5118	2
C₃×C₄×#208	2
C₃×#4709	2
C₃×#4690	2
C₃×#2921	3
#78518	3

Subgroups — C3×#78518 #11858860

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#78518 #11858860