Subgroups — C₃×#91559 #13086702

Order 1440.

430 conjugacy classes of subgroups.

The subgroup lattice has 326 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₃×Dic₁₅	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃²×C₂²⋊D₅	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃×D₅×Dic₃	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×#217	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#6668	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#6665	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×Dic₃×Dic₅	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#4027	—	3	1	no	maximal
9	#91559	C₃	1	1	yes	maximal, characteristic, direct product factor
10	C₂³×C₃²×C₅	C₂²	1	1	yes	characteristic
11	C₂²×C₃²×D₅	C₂²	1	1	yes	characteristic
12	C₂×C₃×Dic₁₅	—	2	2	no	—
13	C₂×C₃×Dic₁₅	C₂²	1	1	yes	characteristic
14	C₂×C₃×Dic₁₅	C₂²	1	1	yes	characteristic
15	C₂×C₃×C₅×Dic₃	C₂²	1	1	yes	characteristic
16	C₂×C₃×C₅×Dic₃	C₂²	1	1	yes	characteristic
17	C₃²×C₂²⋊D₅	C₄	1	4	yes	complemented
18	C₂×C₃²×Dic₅	C₂²	1	1	yes	characteristic
19	C₃×D₅×Dic₃	—	2	2	no	—
20	C₃×D₄×Dic₃	—	5	1	no	maximal, Hall
21	C₂²×Dic₁₅	C₂×C₃	1	1	yes	characteristic, complemented
22	C₂×C₃×C₂²⋊D₅	—	2	1	no	—
23	C₂×C₃×C₂²⋊D₅	D₃	1	1	yes	characteristic
24	C₂×C₃×C₂²⋊D₅	C₂×C₃	1	1	yes	characteristic
25	C₂²×C₃×Dic₅	—	3	1	no	—
26	C₂×C₃×C₄×D₅	—	3	1	no	—
27	C₂×D₅×Dic₃	C₂×C₃	1	1	yes	characteristic, complemented
28	C₃×C₅×C₂²⋊C₄	—	3	1	no	—
29	C₅×#217	C₂×C₃	1	1	yes	characteristic, complemented
30	C₃×#685	—	3	1	no	—
31	C₃×#683	—	3	1	no	—
32	C₃×C₄×Dic₅	—	3	1	no	—
33	#6668	C₂×C₃	1	1	yes	characteristic, complemented
34	#6665	C₂×C₃	1	1	yes	characteristic, complemented
35	Dic₃×Dic₅	C₂×C₃	1	1	yes	characteristic, complemented
36	C₂²×C₃²×C₅	—	2	1	no	—
37	C₂²×C₃²×C₅	—	2	1	no	—
38	C₂²×C₃²×C₅	C₂×C₄	1	2	yes	complemented
39	C₂²×C₃²×C₅	C₂³	1	1	yes	characteristic
40	C₂×C₃²×D₅	—	2	1	no	—
41	C₂×C₃²×D₅	—	2	1	no	—
42	C₂×C₃²×D₅	C₂×C₄	1	2	yes	complemented
43	C₃×Dic₁₅	—	2	1	no	—
44	C₃×Dic₁₅	D₄	1	2	yes	complemented
45	C₃×C₅×Dic₃	—	2	1	no	—
46	C₃×C₅×Dic₃	—	2	1	no	—
47	C₃²×Dic₅	C₂×C₄	1	2	yes	complemented
48	#4027	—	3	1	no	Hall
49	C₂×C₃²×D₄	—	5	1	no	—
50	C₂²×C₃×Dic₃	—	5	1	no	—
51	C₂²×C₃×Dic₃	—	5	1	no	—
52	C₃×#217	—	5	1	no	—
53	C₃×#217	D₅	1	1	yes	characteristic, complemented
54	C₃×C₄⋊Dic₃	—	5	1	no	—
55	C₃×C₄×Dic₃	—	5	1	no	—
56	C₂³×C₃×C₅	—	2	1	no	—
57	C₂³×C₃×C₅	C₂×D₃	1	1	yes	characteristic
58	C₂³×C₃×C₅	C₂²×C₃	1	1	yes	characteristic
59	C₂²×C₃×D₅	—	2	1	no	—
60	C₂²×C₃×D₅	C₂×D₃	1	1	yes	characteristic
61	C₂²×C₃×D₅	C₂²×C₃	1	1	yes	characteristic
62	C₂×C₃×C₄×C₅	—	3	1	no	—
63	C₂×C₃×C₄×C₅	—	3	1	no	—
64	C₂×Dic₁₅	—	2	2	no	—
65	C₂×Dic₁₅	C₂²×C₃	1	1	yes	characteristic
66	C₂×Dic₁₅	C₂²×C₃	1	1	yes	characteristic
67	C₂×C₅×Dic₃	C₂²×C₃	1	1	yes	characteristic
68	C₂×C₅×Dic₃	C₂²×C₃	1	1	yes	characteristic
69	C₃×C₂²⋊D₅	—	2	4	no	—
70	C₃×C₂²⋊D₅	Dic₃	1	4	yes	complemented
71	C₃×C₂²⋊D₅	C₃×C₄	1	4	yes	complemented
72	C₂×C₃×Dic₅	—	2	1	no	—
73	C₂×C₃×Dic₅	—	3	1	no	—
74	C₂×C₃×Dic₅	—	3	1	no	—
75	C₂×C₃×Dic₅	—	6	2	no	—
76	C₂×C₃×Dic₅	C₂×D₃	1	1	yes	characteristic
77	C₂×C₃×Dic₅	C₂²×C₃	1	1	yes	characteristic
78	C₃×C₄×D₅	—	6	2	no	—
79	D₅×Dic₃	—	2	2	no	—
80	C₃×C₄×D₄	—	15	1	no	—
81	D₄×Dic₃	—	5	1	no	—
82	C₂×C₃²×C₅	—	2	2	no	—
83	C₂×C₃²×C₅	C₂²×C₄	1	1	yes	characteristic
84	C₂×C₃²×C₅	C₂×D₄	1	1	yes	characteristic
85	C₂×C₃²×C₅	#41	1	1	yes	characteristic
86	C₃²×D₅	—	2	2	no	—
87	C₂×C₂²⋊D₅	C₃×D₃	1	1	yes	characteristic
88	C₂²×Dic₅	—	3	1	no	—
89	C₂×C₄×D₅	—	3	1	no	—
90	C₅×C₂²⋊C₄	—	3	1	no	—
91	#685	—	3	1	no	—
92	#683	—	3	1	no	—
93	C₄×Dic₅	—	3	1	no	—
94	C₂³×C₃²	—	5	1	no	—
95	C₂³×C₃²	C₂×D₅	1	1	yes	characteristic
96	C₃²×D₄	—	5	4	no	—
97	C₂×C₃²×C₄	—	5	1	no	—
98	C₂×C₃×Dic₃	—	5	1	no	—
99	C₂×C₃×Dic₃	—	5	1	no	—
100	C₂×C₃×Dic₃	—	10	2	no	—
101	C₂×C₃×Dic₃	—	10	2	no	—
102	C₂×C₃×Dic₃	C₂×D₅	1	1	yes	characteristic
103	C₂×C₃×Dic₃	C₂×D₅	1	1	yes	characteristic
104	C₂²×C₃×C₅	—	2	1	no	—
105	C₂²×C₃×C₅	—	2	1	no	—
106	C₂²×C₃×C₅	—	2	1	no	—
107	C₂²×C₃×C₅	—	2	1	no	—
108	C₂²×C₃×C₅	—	2	2	no	—
109	C₂²×C₃×C₅	—	2	1	no	—
110	C₂²×C₃×C₅	—	4	1	no	—
111	C₂²×C₃×C₅	—	4	1	no	—
112	C₂²×C₃×C₅	C₂×Dic₃	1	2	yes	complemented
113	C₂²×C₃×C₅	C₂×C₃×C₄	1	2	yes	complemented
114	C₂²×C₃×C₅	C₂²×D₃	1	1	yes	characteristic
115	C₂²×C₃×C₅	C₂³×C₃	1	1	yes	characteristic
116	C₂×C₃×D₅	—	2	1	no	—
117	C₂×C₃×D₅	—	2	1	no	—
118	C₂×C₃×D₅	—	2	1	no	—
119	C₂×C₃×D₅	—	2	1	no	—
120	C₂×C₃×D₅	—	2	2	no	—
121	C₂×C₃×D₅	—	4	1	no	—
122	C₂×C₃×D₅	—	4	1	no	—
123	C₂×C₃×D₅	C₂×Dic₃	1	2	yes	complemented
124	C₂×C₃×D₅	C₂×C₃×C₄	1	2	yes	complemented
125	C₃×C₄×C₅	—	6	1	no	—
126	C₃×C₄×C₅	—	6	1	no	—
127	Dic₁₅	—	2	1	no	—
128	Dic₁₅	C₃×D₄	1	2	yes	complemented
129	C₃×Dic₅	—	2	2	no	—
130	C₃×Dic₅	—	3	2	no	—
131	C₃×Dic₅	—	6	1	no	—
132	C₃×Dic₅	C₂×Dic₃	1	2	yes	complemented
133	C₃×Dic₅	C₂×C₃×C₄	1	2	yes	complemented
134	C₅×Dic₃	—	2	1	no	—
135	C₅×Dic₃	—	2	1	no	—
136	C₂×C₃×D₄	—	5	1	no	—
137	C₂×C₃×D₄	—	5	1	no	—
138	C₂×C₃×D₄	—	10	1	no	—
139	C₂²×C₃×C₄	—	15	1	no	—
140	C₂²×C₃×C₄	—	15	1	no	—
141	C₂²×Dic₃	—	5	1	no	—
142	C₂²×Dic₃	—	5	1	no	—
143	C₃×C₄⋊C₄	—	15	1	no	—
144	C₃×C₂²⋊C₄	—	3	1	no	—
145	C₃×C₂²⋊C₄	—	15	1	no	—
146	C₃×C₄²	—	15	1	no	—
147	#217	—	5	1	no	—
148	#217	C₃×D₅	1	1	yes	characteristic, complemented
149	C₄⋊Dic₃	—	5	1	no	—
150	C₄×Dic₃	—	5	1	no	—
151	C₃²×C₅	C₄×D₄	1	1	yes	characteristic, complemented, Hall
152	C₂³×C₅	C₂×C₃×D₃	1	1	yes	characteristic
153	C₂²×D₅	C₂×C₃×D₃	1	1	yes	characteristic
154	C₂×C₄×C₅	—	3	1	no	—
155	C₂×C₄×C₅	—	3	1	no	—
156	C₂²⋊D₅	C₃×Dic₃	1	4	yes	complemented
157	C₂×Dic₅	—	3	1	no	—
158	C₂×Dic₅	—	3	1	no	—
159	C₂×Dic₅	—	6	2	no	—
160	C₂×Dic₅	C₂×C₃×D₃	1	1	yes	characteristic
161	C₄×D₅	—	6	2	no	—
162	C₂²×C₃²	—	2	1	no	—
163	C₂²×C₃²	—	2	1	no	—
164	C₂²×C₃²	—	5	2	no	—
165	C₂²×C₃²	—	10	1	no	—
166	C₂²×C₃²	—	10	1	no	—
167	C₂²×C₃²	C₄×D₅	1	2	yes	complemented
168	C₂²×C₃²	C₂²×D₅	1	1	yes	characteristic
169	C₃²×C₄	—	5	2	no	—
170	C₃×Dic₃	—	2	1	no	—
171	C₃×Dic₃	—	2	1	no	—
172	C₃×Dic₃	—	5	2	no	—
173	C₃×Dic₃	—	10	1	no	—
174	C₄×D₄	—	15	1	no	Sylow
175	C₂×C₃×C₅	—	2	2	no	—
176	C₂×C₃×C₅	—	2	2	no	—
177	C₂×C₃×C₅	—	2	1	no	—
178	C₂×C₃×C₅	—	2	1	no	—
179	C₂×C₃×C₅	—	2	1	no	—
180	C₂×C₃×C₅	—	4	2	no	—
181	C₂×C₃×C₅	D₃×D₄	1	1	yes	characteristic
182	C₂×C₃×C₅	#237	1	1	yes	characteristic
183	C₂×C₃×C₅	C₂²×Dic₃	1	1	yes	characteristic
184	C₂×C₃×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
185	C₂×C₃×C₅	C₂×C₃×D₄	1	1	yes	characteristic
186	C₂×C₃×C₅	C₃×#41	1	1	yes	characteristic
187	C₃×D₅	—	2	2	no	—
188	C₃×D₅	—	2	2	no	—
189	C₃×D₅	—	4	2	no	—
190	C₂³×C₃	—	2	1	no	—
191	C₂³×C₃	—	5	1	no	—
192	C₂³×C₃	—	5	1	no	—
193	C₂³×C₃	—	10	1	no	—
194	C₂³×C₃	D₃×D₅	1	1	yes	characteristic
195	C₂³×C₃	C₂×C₃×D₅	1	1	yes	characteristic
196	C₃×D₄	—	5	4	no	—
197	C₃×D₄	—	5	4	no	—
198	C₃×D₄	—	10	4	no	—
199	C₂×C₃×C₄	—	3	1	no	—
200	C₂×C₃×C₄	—	3	1	no	—
201	C₂×C₃×C₄	—	5	1	no	—
202	C₂×C₃×C₄	—	5	1	no	—
203	C₂×C₃×C₄	—	10	1	no	—
204	C₂×C₃×C₄	—	15	1	no	—
205	C₂×C₃×C₄	—	15	1	no	—
206	C₂×C₃×C₄	—	30	2	no	—
207	C₂×C₃×C₄	—	30	2	no	—
208	C₂×Dic₃	—	5	1	no	—
209	C₂×Dic₃	—	5	1	no	—
210	C₂×Dic₃	—	10	2	no	—
211	C₂×Dic₃	—	10	2	no	—
212	C₂×Dic₃	C₂×C₃×D₅	1	1	yes	characteristic
213	C₂×Dic₃	C₂×C₃×D₅	1	1	yes	characteristic
214	C₂²×C₅	—	2	1	no	—
215	C₂²×C₅	—	2	1	no	—
216	C₂²×C₅	C₂×C₃×Dic₃	1	2	yes	complemented
217	C₂²×C₅	C₂²×C₃×D₃	1	1	yes	characteristic
218	C₂×D₅	—	2	1	no	—
219	C₂×D₅	—	2	1	no	—
220	C₂×D₅	C₂×C₃×Dic₃	1	2	yes	complemented
221	C₄×C₅	—	6	1	no	—
222	C₄×C₅	—	6	1	no	—
223	Dic₅	—	3	2	no	—
224	Dic₅	—	6	1	no	—
225	Dic₅	C₂×C₃×Dic₃	1	2	yes	complemented
226	C₂×C₃²	—	2	2	no	—
227	C₂×C₃²	—	10	2	no	—
228	C₂×C₃²	C₂×C₄×D₅	1	1	yes	characteristic
229	C₂×C₃²	D₄×D₅	1	1	yes	characteristic
230	C₂×C₃²	#711	1	1	yes	characteristic
231	C₂×D₄	—	5	1	no	—
232	C₂²×C₄	—	15	1	no	—
233	C₂²×C₄	—	15	1	no	—
234	C₄⋊C₄	—	15	1	no	—
235	C₂²⋊C₄	—	3	1	no	—
236	C₂²⋊C₄	—	15	1	no	—
237	C₄²	—	15	1	no	—
238	C₃×C₅	—	2	1	no	—
239	C₃×C₅	D₄×Dic₃	1	1	yes	characteristic, complemented
240	C₃×C₅	C₃×C₄×D₄	1	1	yes	characteristic, complemented
241	C₂²×C₃	—	2	1	no	—
242	C₂²×C₃	—	2	1	no	—
243	C₂²×C₃	—	2	1	no	—
244	C₂²×C₃	—	2	1	no	—
245	C₂²×C₃	—	2	2	no	—
246	C₂²×C₃	—	2	1	no	—
247	C₂²×C₃	—	4	1	no	—
248	C₂²×C₃	—	4	1	no	—
249	C₂²×C₃	—	5	2	no	—
250	C₂²×C₃	—	5	2	no	—
251	C₂²×C₃	—	10	2	no	—
252	C₂²×C₃	—	10	1	no	—
253	C₂²×C₃	—	10	1	no	—
254	C₂²×C₃	—	10	1	no	—
255	C₂²×C₃	—	10	1	no	—
256	C₂²×C₃	—	20	1	no	—
257	C₂²×C₃	—	20	1	no	—
258	C₂²×C₃	D₅×Dic₃	1	2	yes	complemented
259	C₂²×C₃	C₃×C₄×D₅	1	2	yes	complemented
260	C₂²×C₃	C₂×D₃×D₅	1	1	yes	characteristic
261	C₂²×C₃	C₂²×C₃×D₅	1	1	yes	characteristic
262	C₃×C₄	—	5	2	no	—
263	C₃×C₄	—	5	2	no	—
264	C₃×C₄	—	6	1	no	—
265	C₃×C₄	—	6	1	no	—
266	C₃×C₄	—	10	2	no	—
267	C₃×C₄	—	15	2	no	—
268	C₃×C₄	—	30	1	no	—
269	Dic₃	—	2	1	no	—
270	Dic₃	—	2	1	no	—
271	Dic₃	—	5	2	no	—
272	Dic₃	—	10	1	no	—
273	C₂×C₅	—	2	2	no	—
274	C₂×C₅	C₃×D₃×D₄	1	1	yes	characteristic
275	C₂×C₅	C₃×#237	1	1	yes	characteristic
276	C₂×C₅	C₂²×C₃×Dic₃	1	1	yes	characteristic
277	D₅	—	2	2	no	—
278	C₃²	#4027	1	1	yes	characteristic, complemented, Sylow
279	C₂³	—	5	1	no	—
280	C₂³	C₃×D₃×D₅	1	1	yes	characteristic
281	D₄	—	5	4	no	—
282	C₂×C₄	—	3	1	no	—
283	C₂×C₄	—	3	1	no	—
284	C₂×C₄	—	5	1	no	—
285	C₂×C₄	—	15	1	no	—
286	C₂×C₄	—	15	1	no	—
287	C₂×C₄	—	30	2	no	—
288	C₂×C₄	—	30	2	no	—
289	C₂×C₃	—	2	2	no	—
290	C₂×C₃	—	2	2	no	—
291	C₂×C₃	—	2	1	no	—
292	C₂×C₃	—	2	1	no	—
293	C₂×C₃	—	2	1	no	—
294	C₂×C₃	—	4	2	no	—
295	C₂×C₃	—	10	2	no	—
296	C₂×C₃	—	10	2	no	—
297	C₂×C₃	—	20	2	no	—
298	C₂×C₃	C₂×D₅×Dic₃	1	1	yes	characteristic
299	C₂×C₃	#6780	1	1	yes	characteristic
300	C₂×C₃	#6790	1	1	yes	characteristic
301	C₂×C₃	C₂×C₃×C₄×D₅	1	1	yes	characteristic
302	C₂×C₃	C₃×D₄×D₅	1	1	yes	characteristic
303	C₂×C₃	C₃×#711	1	1	yes	characteristic
304	C₅	C₃×D₄×Dic₃	1	1	yes	characteristic, complemented, Sylow
305	C₂²	—	2	1	no	—
306	C₂²	—	2	1	no	—
307	C₂²	—	5	2	no	—
308	C₂²	—	10	1	no	—
309	C₂²	—	10	1	no	—
310	C₂²	C₃×D₅×Dic₃	1	2	yes	complemented
311	C₂²	C₂×C₃×D₃×D₅	1	1	yes	characteristic
312	C₄	—	5	2	no	—
313	C₄	—	6	1	no	—
314	C₄	—	6	1	no	—
315	C₄	—	15	2	no	—
316	C₄	—	30	1	no	—
317	C₃	—	2	1	no	—
318	C₃	#91559	1	1	yes	characteristic, direct product factor
319	C₃	C₃×#4027	1	1	yes	characteristic, complemented
320	C₂	—	2	2	no	—
321	C₂	—	10	2	no	—
322	C₂	C₂×C₃×D₅×Dic₃	1	1	yes	characteristic
323	C₂	C₃×#6780	1	1	yes	characteristic
324	C₂	C₃×#6790	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂×D₃×D₅
commutator	C₂×C₃×C₅	C₂²×C₃×C₄
Frattini	C₂²	C₂×C₃×D₃×D₅
Fitting	C₂³×C₃²×C₅	C₂²
socle	C₂²×C₃²×C₅	C₂³
prime radical	C₂×C₃²×C₂²⋊D₅	C₂
cosocle	C₂²×C₃×C₅	C₂³×C₃
hypercenter	C₂³×C₃	D₃×D₅
hypocenter	C₃×C₅	C₃×C₄×D₄
LCS	G ▷ C₂×C₃×C₅ ▷ C₃×C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₂³×C₃

Complements

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

N	H ≅ G/N	type
1. C₂²×C₃×Dic₁₅	C₂	semidirect
3. C₂×C₃×D₅×Dic₃	C₂	semidirect
4. C₃×C₅×#217	C₂	semidirect
5. C₃×#6668	C₂	semidirect
6. C₃×#6665	C₂	semidirect
7. C₃×Dic₃×Dic₅	C₂	semidirect
9. #91559	C₃	direct (N × H)
17. C₃²×C₂²⋊D₅	C₄	semidirect
21. C₂²×Dic₁₅	C₂×C₃	semidirect
27. C₂×D₅×Dic₃	C₂×C₃	semidirect
29. C₅×#217	C₂×C₃	semidirect
33. #6668	C₂×C₃	semidirect
34. #6665	C₂×C₃	semidirect
35. Dic₃×Dic₅	C₂×C₃	semidirect
38. C₂²×C₃²×C₅	C₂×C₄	semidirect
42. C₂×C₃²×D₅	C₂×C₄	semidirect
44. C₃×Dic₁₅	D₄	semidirect
47. C₃²×Dic₅	C₂×C₄	semidirect
53. C₃×#217	D₅	semidirect
70. C₃×C₂²⋊D₅	Dic₃	semidirect
71. C₃×C₂²⋊D₅	C₃×C₄	semidirect
112. C₂²×C₃×C₅	C₂×Dic₃	semidirect
113. C₂²×C₃×C₅	C₂×C₃×C₄	semidirect
123. C₂×C₃×D₅	C₂×Dic₃	semidirect
124. C₂×C₃×D₅	C₂×C₃×C₄	semidirect
128. Dic₁₅	C₃×D₄	semidirect
132. C₃×Dic₅	C₂×Dic₃	semidirect
133. C₃×Dic₅	C₂×C₃×C₄	semidirect
148. #217	C₃×D₅	semidirect
151. C₃²×C₅	C₄×D₄	semidirect
156. C₂²⋊D₅	C₃×Dic₃	semidirect
167. C₂²×C₃²	C₄×D₅	semidirect
216. C₂²×C₅	C₂×C₃×Dic₃	semidirect
220. C₂×D₅	C₂×C₃×Dic₃	semidirect
225. Dic₅	C₂×C₃×Dic₃	semidirect
239. C₃×C₅	D₄×Dic₃	semidirect
240. C₃×C₅	C₃×C₄×D₄	semidirect
258. C₂²×C₃	D₅×Dic₃	semidirect
259. C₂²×C₃	C₃×C₄×D₅	semidirect
278. C₃²	#4027	semidirect
304. C₅	C₃×D₄×Dic₃	semidirect
310. C₂²	C₃×D₅×Dic₃	semidirect
318. C₃	#91559	direct (N × H)
319. C₃	C₃×#4027	semidirect

Maximal subgroups

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

subgroup	index
C₂²×C₃×Dic₁₅	2
C₂×C₃²×C₂²⋊D₅	2
C₂×C₃×D₅×Dic₃	2
C₃×C₅×#217	2
C₃×#6668	2
C₃×#6665	2
C₃×Dic₃×Dic₅	2
C₃×#4027	3
#91559	3
C₃×D₄×Dic₃	5

Subgroups — C3×#91559 #13086702

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#91559 #13086702