Subgroups — C₃×#79912 #11898353

Order 1152.

771 conjugacy classes of subgroups.

The subgroup lattice has 374 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#5584	C₂	1	2	yes	maximal, complemented
2	C₃²×C₈×Q₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#4845	C₂	1	4	yes	maximal, complemented
4	C₃×#4841	C₂	1	2	yes	maximal, complemented
5	C₃×#4699	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₄×Dic₁₂	C₂	1	2	yes	maximal, complemented
7	C₃×#4696	C₂	1	2	yes	maximal
8	C₃×C₄×D₂₄	C₂	1	1	yes	maximal, characteristic
9	C₃×#3393	—	3	1	no	maximal
10	#79912	C₃	1	1	yes	maximal, characteristic, direct product factor
11	C₃²×C₄×Q₈	C₂²	1	1	yes	characteristic
12	C₃×#946	—	2	2	no	—
13	C₂×C₃×Dic₁₂	C₂²	1	2	yes	—
14	C₂×C₃×Dic₁₂	C₂²	1	2	yes	—
15	C₂×C₃×D₂₄	C₂²	1	1	yes	characteristic
16	C₂×C₃×#204	C₂²	1	4	yes	—
17	C₃×#898	—	2	4	no	—
18	C₃×#892	—	2	2	no	—
19	C₃×#875	C₂²	1	4	yes	—
20	C₃×C₄×D₁₂	C₂²	1	2	yes	—
21	C₃×#869	C₂²	1	2	yes	—
22	C₃×C₄×Dic₆	C₂²	1	4	yes	—
23	C₃²×C₄⋊C₈	C₂²	1	1	yes	characteristic
24	C₃²×C₄⋊C₈	C₂²	1	2	yes	—
25	C₃²×C₄×C₈	C₂²	1	1	yes	characteristic
26	C₃²×C₄×C₈	C₂²	1	2	yes	—
27	C₃×#821	C₂²	1	2	yes	—
28	C₃×#818	C₂²	1	1	yes	characteristic
29	C₃×#816	C₂²	1	4	yes	—
30	C₃×#556	—	3	2	no	—
31	#5584	C₂×C₃	1	2	yes	complemented
32	C₃×#495	—	3	2	no	—
33	C₃×#494	—	3	1	no	—
34	C₃×#464	—	3	4	no	—
35	C₃×#461	—	3	2	no	—
36	C₃×C₈×Q₈	—	2	1	no	—
37	C₃×C₈×Q₈	D₃	1	1	yes	characteristic, complemented
38	C₃×C₈×Q₈	C₂×C₃	1	1	yes	characteristic, complemented
39	C₃×C₄×Q₁₆	—	3	2	no	—
40	C₃×C₄×D₈	—	3	1	no	—
41	#4845	C₂×C₃	1	4	yes	complemented
42	#4841	C₂×C₃	1	2	yes	complemented
43	#4699	C₂×C₃	1	1	yes	characteristic, complemented
44	C₄×Dic₁₂	C₂×C₃	1	2	yes	complemented
45	#4696	C₂×C₃	1	2	yes	—
46	C₄×D₂₄	C₂×C₃	1	1	yes	characteristic
47	C₂×C₃²×Q₈	D₄	1	1	yes	characteristic
48	C₂×C₃×D₁₂	C₂³	1	2	yes	—
49	C₂×C₃×C₄×D₃	—	2	2	no	—
50	C₂×C₃×Dic₆	C₂³	1	4	yes	—
51	C₂×C₃²×C₈	C₂³	1	2	yes	—
52	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
53	C₂×C₃²×C₈	C₂³	1	1	yes	characteristic
54	C₃²×C₄⋊C₄	D₄	1	1	yes	characteristic
55	C₃²×C₄⋊C₄	D₄	1	2	yes	—
56	C₃²×C₄²	C₂³	1	2	yes	—
57	C₃²×C₄²	C₂³	1	1	yes	characteristic
58	C₃×(C₂×D₃)⋊C₄	—	2	4	no	—
59	C₃×(C₂×D₃)⋊C₄	—	2	2	no	—
60	C₃×(C₂×D₃)⋊C₄	—	2	4	no	—
61	C₃×C₄⋊Dic₃	—	2	2	no	—
62	C₃×C₄⋊Dic₃	—	2	2	no	—
63	C₃×C₄⋊Dic₃	C₂³	1	2	yes	—
64	C₃×Dic₃⋊C₄	—	2	4	no	—
65	C₃×C₄×Dic₃	—	2	4	no	—
66	C₃×Dic₁₂	—	2	4	no	—
67	C₃×Dic₁₂	—	4	2	no	—
68	C₃×D₂₄	—	2	2	no	—
69	C₃×#204	—	4	4	no	—
70	#3393	—	3	1	no	Sylow
71	C₂×C₃×Q₁₆	—	3	2	no	—
72	C₂×C₃×Q₁₆	—	3	2	no	—
73	C₂×C₃×SD₁₆	—	3	4	no	—
74	C₂×C₃×D₈	—	3	1	no	—
75	C₃×C₄⋊Q₈	—	3	2	no	—
76	C₃×#126	—	6	4	no	—
77	C₃×#124	—	3	4	no	—
78	C₃×C₂²⋊Q₈	—	6	2	no	—
79	C₃×C₄×Q₈	—	2	1	no	—
80	C₃×C₄×Q₈	—	3	4	no	—
81	C₃×C₄×Q₈	C₂×D₃	1	1	yes	characteristic
82	C₃×C₄×Q₈	C₂²×C₃	1	1	yes	characteristic
83	C₃×C₄×D₄	—	3	2	no	—
84	C₃×#117	—	6	2	no	—
85	#946	—	2	2	no	—
86	C₂×Dic₁₂	C₂²×C₃	1	2	yes	—
87	C₂×Dic₁₂	C₂²×C₃	1	2	yes	—
88	C₂×D₂₄	C₂²×C₃	1	1	yes	characteristic
89	C₂×#204	C₂²×C₃	1	4	yes	—
90	#898	—	2	4	no	—
91	#892	—	2	2	no	—
92	#875	C₂²×C₃	1	4	yes	—
93	C₄×D₁₂	C₂²×C₃	1	2	yes	—
94	#869	C₂²×C₃	1	2	yes	—
95	C₄×Dic₆	C₂²×C₃	1	4	yes	—
96	C₃×#107	—	3	1	no	—
97	C₃×C₄⋊C₈	—	2	1	no	—
98	C₃×C₄⋊C₈	—	2	2	no	—
99	C₃×C₄⋊C₈	C₂×D₃	1	1	yes	characteristic
100	C₃×C₄⋊C₈	C₂×D₃	1	2	yes	—
101	C₃×C₄⋊C₈	C₂²×C₃	1	1	yes	characteristic
102	C₃×C₄⋊C₈	C₂²×C₃	1	2	yes	—
103	C₃×#103	—	3	4	no	—
104	C₃×#102	—	3	2	no	—
105	C₃×C₄×C₈	—	2	1	no	—
106	C₃×C₄×C₈	—	2	2	no	—
107	C₃×C₄×C₈	C₂×D₃	1	1	yes	characteristic
108	C₃×C₄×C₈	C₂×D₃	1	2	yes	—
109	C₃×C₄×C₈	C₂²×C₃	1	1	yes	characteristic
110	C₃×C₄×C₈	C₂²×C₃	1	2	yes	—
111	#821	C₂²×C₃	1	2	yes	—
112	#818	C₂²×C₃	1	1	yes	characteristic
113	#816	C₂²×C₃	1	4	yes	—
114	C₂²×C₃×D₃	—	2	2	no	—
115	C₃²×Q₈	—	2	2	no	—
116	C₂×C₃²×C₄	C₂×D₄	1	2	yes	—
117	C₂×C₃²×C₄	C₂×D₄	1	2	yes	—
118	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
119	C₂×C₃²×C₄	C₂×D₄	1	1	yes	characteristic
120	C₂×C₃²×C₄	C₂⁴	1	1	yes	characteristic
121	C₂×C₃×Dic₃	—	2	2	no	—
122	C₂×C₃×Dic₃	—	2	4	no	—
123	C₃×D₁₂	—	2	2	no	—
124	C₃×D₁₂	—	2	2	no	—
125	C₃×C₄×D₃	—	4	4	no	—
126	C₃×Dic₆	—	2	4	no	—
127	C₃×Dic₆	—	2	4	no	—
128	C₃²×C₈	—	2	2	no	—
129	C₃²×C₈	—	2	1	no	—
130	C₃²×C₈	#41	1	2	yes	—
131	#556	—	3	2	no	—
132	#495	—	3	2	no	—
133	#494	—	3	1	no	—
134	#464	—	3	4	no	—
135	#461	—	3	2	no	—
136	C₈×Q₈	C₃×D₃	1	1	yes	characteristic, complemented
137	C₄×Q₁₆	—	3	2	no	—
138	C₄×D₈	—	3	1	no	—
139	C₂×C₃×Q₈	—	2	1	no	—
140	C₂×C₃×Q₈	—	3	4	no	—
141	C₂×C₃×Q₈	D₁₂	1	1	yes	characteristic
142	C₂×C₃×Q₈	C₃×D₄	1	1	yes	characteristic
143	C₂×C₃×D₄	—	3	2	no	—
144	C₂²×C₃×C₄	—	6	2	no	—
145	C₂×D₁₂	C₂³×C₃	1	2	yes	—
146	C₂×C₄×D₃	—	2	2	no	—
147	C₂×Dic₆	C₂³×C₃	1	4	yes	—
148	C₃×Q₁₆	—	6	4	no	—
149	C₃×Q₁₆	—	12	2	no	—
150	C₃×SD₁₆	—	12	4	no	—
151	C₃×D₈	—	6	2	no	—
152	C₂×C₃×C₈	—	2	1	no	—
153	C₂×C₃×C₈	—	2	1	no	—
154	C₂×C₃×C₈	—	2	2	no	—
155	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
156	C₂×C₃×C₈	C₂²×D₃	1	2	yes	—
157	C₂×C₃×C₈	C₂²×D₃	1	1	yes	characteristic
158	C₂×C₃×C₈	C₂³×C₃	1	2	yes	—
159	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
160	C₂×C₃×C₈	C₂³×C₃	1	1	yes	characteristic
161	C₃×C₄⋊C₄	—	2	1	no	—
162	C₃×C₄⋊C₄	—	2	2	no	—
163	C₃×C₄⋊C₄	—	3	2	no	—
164	C₃×C₄⋊C₄	—	6	4	no	—
165	C₃×C₄⋊C₄	—	6	2	no	—
166	C₃×C₄⋊C₄	—	6	2	no	—
167	C₃×C₄⋊C₄	D₁₂	1	1	yes	characteristic
168	C₃×C₄⋊C₄	D₁₂	1	2	yes	—
169	C₃×C₄⋊C₄	C₃×D₄	1	1	yes	characteristic
170	C₃×C₄⋊C₄	C₃×D₄	1	2	yes	—
171	C₃×C₂²⋊C₄	—	6	4	no	—
172	C₃×C₂²⋊C₄	—	6	2	no	—
173	C₃×C₂²⋊C₄	—	6	4	no	—
174	C₃×C₄²	—	2	1	no	—
175	C₃×C₄²	—	2	2	no	—
176	C₃×C₄²	—	6	4	no	—
177	C₃×C₄²	C₂²×D₃	1	1	yes	characteristic
178	C₃×C₄²	C₂²×D₃	1	2	yes	—
179	C₃×C₄²	C₂³×C₃	1	2	yes	—
180	C₃×C₄²	C₂³×C₃	1	1	yes	characteristic
181	(C₂×D₃)⋊C₄	—	2	2	no	—
182	(C₂×D₃)⋊C₄	—	2	4	no	—
183	(C₂×D₃)⋊C₄	—	2	4	no	—
184	C₄⋊Dic₃	—	2	2	no	—
185	C₄⋊Dic₃	—	2	2	no	—
186	C₄⋊Dic₃	C₂³×C₃	1	2	yes	—
187	Dic₃⋊C₄	—	2	4	no	—
188	C₄×Dic₃	—	2	4	no	—
189	Dic₁₂	—	2	4	no	—
190	Dic₁₂	—	4	2	no	—
191	D₂₄	—	2	2	no	—
192	#204	—	4	4	no	—
193	C₂²×C₃²	C₂²×D₄	1	1	yes	characteristic
194	C₂×C₃×D₃	—	4	2	no	—
195	C₂×C₃×D₃	—	4	2	no	—
196	C₂×C₃×D₃	—	4	2	no	—
197	C₃²×C₄	—	2	2	no	—
198	C₃²×C₄	—	2	2	no	—
199	C₃²×C₄	—	2	1	no	—
200	C₃²×C₄	#135	1	2	yes	—
201	C₃²×C₄	C₂×#41	1	1	yes	characteristic
202	C₃²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
203	C₃×Dic₃	—	4	4	no	—
204	C₃×Dic₃	—	4	2	no	—
205	C₂×Q₁₆	—	3	2	no	—
206	C₂×Q₁₆	—	3	2	no	—
207	C₂×SD₁₆	—	3	4	no	—
208	C₂×D₈	—	3	1	no	—
209	C₄⋊Q₈	—	3	2	no	—
210	#126	—	6	4	no	—
211	#124	—	3	4	no	—
212	C₂²⋊Q₈	—	6	2	no	—
213	C₄×Q₈	—	3	4	no	—
214	C₄×Q₈	C₂×C₃×D₃	1	1	yes	characteristic
215	C₄×D₄	—	3	2	no	—
216	#117	—	6	2	no	—
217	#107	—	3	1	no	—
218	C₄⋊C₈	C₂×C₃×D₃	1	1	yes	characteristic
219	C₄⋊C₈	C₂×C₃×D₃	1	2	yes	—
220	#103	—	3	4	no	—
221	#102	—	3	2	no	—
222	C₄×C₈	C₂×C₃×D₃	1	1	yes	characteristic
223	C₄×C₈	C₂×C₃×D₃	1	2	yes	—
224	C₂³×C₃	—	6	2	no	—
225	C₂²×D₃	—	2	2	no	—
226	C₃×Q₈	—	2	4	no	—
227	C₃×Q₈	—	2	2	no	—
228	C₃×Q₈	—	2	2	no	—
229	C₃×Q₈	—	6	4	no	—
230	C₃×Q₈	—	6	4	no	—
231	C₃×D₄	—	6	2	no	—
232	C₃×D₄	—	6	2	no	—
233	C₂×C₃×C₄	—	2	1	no	—
234	C₂×C₃×C₄	—	2	2	no	—
235	C₂×C₃×C₄	—	2	1	no	—
236	C₂×C₃×C₄	—	2	2	no	—
237	C₂×C₃×C₄	—	2	1	no	—
238	C₂×C₃×C₄	—	6	2	no	—
239	C₂×C₃×C₄	—	6	4	no	—
240	C₂×C₃×C₄	—	12	4	no	—
241	C₂×C₃×C₄	C₂×D₁₂	1	2	yes	—
242	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
243	C₂×C₃×C₄	C₂×D₁₂	1	2	yes	—
244	C₂×C₃×C₄	C₂×D₁₂	1	1	yes	characteristic
245	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
246	C₂×C₃×C₄	C₂×C₃×D₄	1	2	yes	—
247	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
248	C₂×C₃×C₄	C₂×C₃×D₄	1	1	yes	characteristic
249	C₂×C₃×C₄	C₂³×D₃	1	1	yes	characteristic
250	C₂×C₃×C₄	C₂⁴×C₃	1	1	yes	characteristic
251	C₂×Dic₃	—	2	2	no	—
252	C₂×Dic₃	—	2	4	no	—
253	D₁₂	—	2	2	no	—
254	D₁₂	—	2	2	no	—
255	C₄×D₃	—	4	4	no	—
256	Dic₆	—	2	4	no	—
257	Dic₆	—	2	4	no	—
258	C₃×C₈	—	2	2	no	—
259	C₃×C₈	—	2	1	no	—
260	C₃×C₈	—	2	2	no	—
261	C₃×C₈	—	2	1	no	—
262	C₃×C₈	—	2	2	no	—
263	C₃×C₈	—	4	2	no	—
264	C₃×C₈	—	4	1	no	—
265	C₃×C₈	#239	1	2	yes	—
266	C₃×C₈	C₃×#41	1	2	yes	—
267	C₂×C₃²	#550	1	1	yes	characteristic
268	C₂×C₃²	C₂×#135	1	1	yes	characteristic
269	C₂×C₃²	#578	1	1	yes	characteristic
270	C₃×D₃	—	8	2	no	—
271	C₂×Q₈	—	3	4	no	—
272	C₂×Q₈	C₃×D₁₂	1	1	yes	characteristic
273	C₂×D₄	—	3	2	no	—
274	C₂²×C₄	—	6	2	no	—
275	Q₁₆	—	6	4	no	—
276	Q₁₆	—	12	2	no	—
277	SD₁₆	—	12	4	no	—
278	D₈	—	6	2	no	—
279	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
280	C₂×C₈	C₂²×C₃×D₃	1	2	yes	—
281	C₂×C₈	C₂²×C₃×D₃	1	1	yes	characteristic
282	C₄⋊C₄	—	3	2	no	—
283	C₄⋊C₄	—	6	2	no	—
284	C₄⋊C₄	—	6	4	no	—
285	C₄⋊C₄	—	6	2	no	—
286	C₄⋊C₄	C₃×D₁₂	1	1	yes	characteristic
287	C₄⋊C₄	C₃×D₁₂	1	2	yes	—
288	C₂²⋊C₄	—	6	4	no	—
289	C₂²⋊C₄	—	6	2	no	—
290	C₂²⋊C₄	—	6	4	no	—
291	C₄²	—	6	4	no	—
292	C₄²	C₂²×C₃×D₃	1	1	yes	characteristic
293	C₄²	C₂²×C₃×D₃	1	2	yes	—
294	C₂²×C₃	—	2	1	no	—
295	C₂²×C₃	—	12	2	no	—
296	C₂²×C₃	—	12	2	no	—
297	C₂²×C₃	—	12	2	no	—
298	C₂²×C₃	C₂²×D₁₂	1	1	yes	characteristic
299	C₂²×C₃	C₂²×C₃×D₄	1	1	yes	characteristic
300	C₂×D₃	—	4	2	no	—
301	C₂×D₃	—	4	2	no	—
302	C₂×D₃	—	4	2	no	—
303	C₃×C₄	—	2	4	no	—
304	C₃×C₄	—	2	2	no	—
305	C₃×C₄	—	2	2	no	—
306	C₃×C₄	—	2	1	no	—
307	C₃×C₄	—	2	2	no	—
308	C₃×C₄	—	2	2	no	—
309	C₃×C₄	—	2	1	no	—
310	C₃×C₄	—	2	2	no	—
311	C₃×C₄	—	2	1	no	—
312	C₃×C₄	—	2	1	no	—
313	C₃×C₄	—	4	2	no	—
314	C₃×C₄	—	4	1	no	—
315	C₃×C₄	—	12	2	no	—
316	C₃×C₄	—	12	4	no	—
317	C₃×C₄	#904	1	2	yes	—
318	C₃×C₄	C₃×#135	1	2	yes	—
319	C₃×C₄	C₂×#239	1	1	yes	characteristic
320	C₃×C₄	#1009	1	1	yes	characteristic
321	C₃×C₄	C₂×C₃×#41	1	1	yes	characteristic
322	C₃×C₄	C₃×H(5,𝔽₂)	1	1	yes	characteristic
323	Dic₃	—	4	2	no	—
324	Dic₃	—	4	4	no	—
325	C₃²	#3393	1	1	yes	characteristic, complemented, Sylow
326	C₂³	—	6	2	no	—
327	Q₈	—	2	2	no	—
328	Q₈	—	6	4	no	—
329	Q₈	—	6	4	no	—
330	D₄	—	6	2	no	—
331	D₄	—	6	2	no	—
332	C₂×C₄	—	6	2	no	—
333	C₂×C₄	—	6	4	no	—
334	C₂×C₄	—	12	4	no	—
335	C₂×C₄	C₂×C₃×D₁₂	1	2	yes	—
336	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
337	C₂×C₄	C₂×C₃×D₁₂	1	2	yes	—
338	C₂×C₄	C₂×C₃×D₁₂	1	1	yes	characteristic
339	C₂×C₄	C₂³×C₃×D₃	1	1	yes	characteristic
340	C₈	—	2	2	no	—
341	C₈	—	2	1	no	—
342	C₈	C₃×#239	1	2	yes	—
343	C₂×C₃	—	2	1	no	—
344	C₂×C₃	—	2	1	no	—
345	C₂×C₃	—	2	1	no	—
346	C₂×C₃	—	24	2	no	—
347	C₂×C₃	#5577	1	1	yes	characteristic
348	C₂×C₃	C₂×#904	1	1	yes	characteristic
349	C₂×C₃	#5753	1	1	yes	characteristic
350	C₂×C₃	C₃×#550	1	1	yes	characteristic
351	C₂×C₃	C₂×C₃×#135	1	1	yes	characteristic
352	C₂×C₃	C₃×#578	1	1	yes	characteristic
353	D₃	—	8	2	no	—
354	C₂²	—	12	2	no	—
355	C₂²	—	12	2	no	—
356	C₂²	—	12	2	no	—
357	C₂²	C₂²×C₃×D₁₂	1	1	yes	characteristic
358	C₄	—	2	2	no	—
359	C₄	—	2	1	no	—
360	C₄	—	2	2	no	—
361	C₄	—	12	4	no	—
362	C₄	—	12	2	no	—
363	C₄	C₃×#904	1	2	yes	—
364	C₄	C₂×C₃×#239	1	1	yes	characteristic
365	C₄	C₃×#1009	1	1	yes	characteristic
366	C₃	—	2	1	no	—
367	C₃	#79912	1	1	yes	characteristic, direct product factor
368	C₃	C₃×#3393	1	1	yes	characteristic, complemented
369	C₂	—	24	2	no	—
370	C₂	C₃×#5577	1	1	yes	characteristic
371	C₂	C₂×C₃×#904	1	1	yes	characteristic
372	C₂	C₃×#5753	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂²×D₁₂
commutator, cosocle	C₂×C₃×C₄	C₂⁴×C₃
Frattini	C₂×C₄	C₂³×C₃×D₃
Fitting	C₃²×C₈×Q₈	C₂
socle	C₂²×C₃²	C₂²×D₄
prime radical	C₂×C₃×D₂₄	C₂²
hypercenter	C₃×C₈×Q₈	D₃
hypocenter	C₃	C₃×#3393
LCS	G ▷ C₂×C₃×C₄ ▷ C₂×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×C₄×Q₈ ◁ C₃×C₈×Q₈

Complements

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

N	H ≅ G/N	type
1. C₃×#5584	C₂	semidirect
2. C₃²×C₈×Q₈	C₂	semidirect
3. C₃×#4845	C₂	semidirect
4. C₃×#4841	C₂	semidirect
5. C₃×#4699	C₂	semidirect
6. C₃×C₄×Dic₁₂	C₂	semidirect
10. #79912	C₃	direct (N × H)
31. #5584	C₂×C₃	semidirect
37. C₃×C₈×Q₈	D₃	semidirect
38. C₃×C₈×Q₈	C₂×C₃	semidirect
41. #4845	C₂×C₃	semidirect
42. #4841	C₂×C₃	semidirect
43. #4699	C₂×C₃	semidirect
44. C₄×Dic₁₂	C₂×C₃	semidirect
136. C₈×Q₈	C₃×D₃	semidirect
325. C₃²	#3393	semidirect
367. C₃	#79912	direct (N × H)
368. C₃	C₃×#3393	semidirect

Maximal subgroups

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

subgroup	index
C₃×#5584	2
C₃²×C₈×Q₈	2
C₃×#4845	2
C₃×#4841	2
C₃×#4699	2
C₃×C₄×Dic₁₂	2
C₃×#4696	2
C₃×C₄×D₂₄	2
C₃×#3393	3
#79912	3

Subgroups — C3×#79912 #11898353

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#79912 #11898353