Subgroups — C₃×C₅×#894 #13087906

Order 1440.

338 conjugacy classes of subgroups.

The subgroup lattice has 304 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×D₁₂	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₄×C₅×D₃	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃²×C₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×(C₂×D₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×(C₂×D₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×(C₂×D₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×C₅×Dic₃⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₅×#123	—	3	1	no	maximal
9	C₅×#894	C₃	1	1	yes	maximal, characteristic, direct product factor
10	C₂²×C₃×C₅×D₃	C₂²	1	1	yes	characteristic
11	C₂²×C₃×C₅×D₃	C₂²	1	1	yes	characteristic
12	C₂×C₃²×C₄×C₅	C₂²	1	1	yes	characteristic
13	C₂×C₃²×C₄×C₅	C₂²	1	1	yes	characteristic
14	C₂×C₃²×C₄×C₅	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	C₃×C₅×D₁₂	—	2	2	no	—
18	C₃×C₄×C₅×D₃	—	2	2	no	—
19	C₃×#894	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
20	C₂×C₃×C₅×D₄	—	3	1	no	—
21	C₂²×C₃×C₄×C₅	—	3	1	no	—
22	C₂×C₅×D₁₂	C₂×C₃	1	1	yes	characteristic
23	C₂×C₄×C₅×D₃	C₂×C₃	1	1	yes	characteristic, complemented
24	C₃×C₅×C₄⋊C₄	—	2	1	no	—
25	C₃×C₅×C₄⋊C₄	—	3	1	no	—
26	C₃×C₅×C₄⋊C₄	D₃	1	1	yes	characteristic, complemented
27	C₃×C₅×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
28	C₃×C₅×C₂²⋊C₄	—	3	1	no	—
29	C₃×C₅×C₂²⋊C₄	—	3	1	no	—
30	C₃×C₅×C₂²⋊C₄	—	3	1	no	—
31	C₅×(C₂×D₃)⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
32	C₅×(C₂×D₃)⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
33	C₅×(C₂×D₃)⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
34	C₅×Dic₃⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
35	C₂²×C₃²×C₅	C₂³	1	1	yes	characteristic
36	C₂×C₃×C₅×D₃	—	2	1	no	—
37	C₂×C₃×C₅×D₃	—	2	1	no	—
38	C₂×C₃×C₅×D₃	—	2	1	no	—
39	C₂×C₃×C₅×D₃	—	2	1	no	—
40	C₂×C₃×C₅×D₃	—	2	1	no	—
41	C₂×C₃×C₅×D₃	D₄	1	2	yes	—
42	C₃²×C₄×C₅	—	2	1	no	—
43	C₃²×C₄×C₅	—	2	1	no	—
44	C₃²×C₄×C₅	—	2	1	no	—
45	C₃×C₅×Dic₃	—	2	1	no	—
46	C₃×C₅×Dic₃	—	2	1	no	—
47	C₅×#123	—	3	1	no	Hall
48	C₂×C₃×D₁₂	C₂×C₅	1	1	yes	characteristic
49	C₂×C₃×C₄×D₃	C₂×C₅	1	1	yes	characteristic, complemented
50	C₃²×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
51	C₃×(C₂×D₃)⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
52	C₃×(C₂×D₃)⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
53	C₃×(C₂×D₃)⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
54	C₃×Dic₃⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
55	C₂³×C₃×C₅	—	3	1	no	—
56	C₂³×C₃×C₅	—	3	1	no	—
57	C₂²×C₅×D₃	C₂²×C₃	1	1	yes	characteristic
58	C₂²×C₅×D₃	C₂²×C₃	1	1	yes	characteristic
59	C₃×C₅×D₄	—	6	2	no	—
60	C₂×C₃×C₄×C₅	—	2	1	no	—
61	C₂×C₃×C₄×C₅	—	2	1	no	—
62	C₂×C₃×C₄×C₅	—	2	1	no	—
63	C₂×C₃×C₄×C₅	—	3	1	no	—
64	C₂×C₃×C₄×C₅	—	3	1	no	—
65	C₂×C₃×C₄×C₅	—	6	2	no	—
66	C₂×C₃×C₄×C₅	C₂×D₃	1	1	yes	characteristic
67	C₂×C₃×C₄×C₅	C₂×D₃	1	1	yes	characteristic
68	C₂×C₃×C₄×C₅	C₂×D₃	1	1	yes	characteristic
69	C₂×C₃×C₄×C₅	C₂²×C₃	1	1	yes	characteristic
70	C₂×C₃×C₄×C₅	C₂²×C₃	1	1	yes	characteristic
71	C₂×C₃×C₄×C₅	C₂²×C₃	1	1	yes	characteristic
72	C₂×C₅×Dic₃	C₂²×C₃	1	1	yes	characteristic
73	C₂×C₅×Dic₃	C₂²×C₃	1	1	yes	characteristic
74	C₅×D₁₂	—	2	2	no	—
75	C₄×C₅×D₃	—	2	2	no	—
76	C₃×#123	—	3	1	no	—
77	#894	C₃×C₅	1	1	yes	characteristic, direct product factor
78	C₂×C₃²×C₅	C₂×D₄	1	1	yes	characteristic
79	C₂×C₃²×C₅	#41	1	1	yes	characteristic
80	C₂×C₃²×C₅	#41	1	1	yes	characteristic
81	C₃×C₅×D₃	—	2	2	no	—
82	C₃×C₅×D₃	—	4	1	no	—
83	C₂×C₅×D₄	—	3	1	no	—
84	C₂²×C₄×C₅	—	3	1	no	—
85	C₅×C₄⋊C₄	—	3	1	no	—
86	C₅×C₄⋊C₄	C₃×D₃	1	1	yes	characteristic, complemented
87	C₅×C₂²⋊C₄	—	3	1	no	—
88	C₅×C₂²⋊C₄	—	3	1	no	—
89	C₅×C₂²⋊C₄	—	3	1	no	—
90	C₂²×C₃×D₃	C₂²×C₅	1	1	yes	characteristic
91	C₂²×C₃×D₃	C₂²×C₅	1	1	yes	characteristic
92	C₂×C₃²×C₄	C₂²×C₅	1	1	yes	characteristic
93	C₂×C₃²×C₄	C₂²×C₅	1	1	yes	characteristic
94	C₂×C₃²×C₄	C₂²×C₅	1	1	yes	characteristic
95	C₂×C₃×Dic₃	C₂²×C₅	1	1	yes	characteristic
96	C₂×C₃×Dic₃	C₂²×C₅	1	1	yes	characteristic
97	C₃×D₁₂	—	2	2	no	—
98	C₃×C₄×D₃	—	2	2	no	—
99	C₂²×C₃×C₅	—	2	1	no	—
100	C₂²×C₃×C₅	—	3	2	no	—
101	C₂²×C₃×C₅	—	6	1	no	—
102	C₂²×C₃×C₅	—	6	1	no	—
103	C₂²×C₃×C₅	—	6	1	no	—
104	C₂²×C₃×C₅	—	6	1	no	—
105	C₂²×C₃×C₅	—	6	1	no	—
106	C₂²×C₃×C₅	C₂²×D₃	1	1	yes	characteristic
107	C₂²×C₃×C₅	C₂³×C₃	1	1	yes	characteristic
108	C₂×C₅×D₃	—	2	1	no	—
109	C₂×C₅×D₃	—	2	1	no	—
110	C₂×C₅×D₃	—	2	1	no	—
111	C₂×C₅×D₃	—	2	1	no	—
112	C₂×C₅×D₃	—	2	1	no	—
113	C₂×C₅×D₃	C₃×D₄	1	2	yes	—
114	C₃×C₄×C₅	—	2	2	no	—
115	C₃×C₄×C₅	—	2	1	no	—
116	C₃×C₄×C₅	—	2	1	no	—
117	C₃×C₄×C₅	—	2	1	no	—
118	C₃×C₄×C₅	—	2	1	no	—
119	C₃×C₄×C₅	—	2	1	no	—
120	C₃×C₄×C₅	—	2	1	no	—
121	C₃×C₄×C₅	—	4	1	no	—
122	C₃×C₄×C₅	—	4	1	no	—
123	C₃×C₄×C₅	—	6	1	no	—
124	C₃×C₄×C₅	—	6	1	no	—
125	C₅×Dic₃	—	2	1	no	—
126	C₅×Dic₃	—	2	1	no	—
127	C₂×C₃×D₄	—	3	1	no	—
128	C₂²×C₃×C₄	—	3	1	no	—
129	C₂×D₁₂	C₂×C₃×C₅	1	1	yes	characteristic
130	C₂×C₄×D₃	C₂×C₃×C₅	1	1	yes	characteristic, complemented
131	C₃×C₄⋊C₄	—	2	1	no	—
132	C₃×C₄⋊C₄	—	3	1	no	—
133	C₃×C₄⋊C₄	C₅×D₃	1	1	yes	characteristic, complemented
134	C₃×C₄⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
135	C₃×C₂²⋊C₄	—	3	1	no	—
136	C₃×C₂²⋊C₄	—	3	1	no	—
137	C₃×C₂²⋊C₄	—	3	1	no	—
138	(C₂×D₃)⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
139	(C₂×D₃)⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
140	(C₂×D₃)⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
141	Dic₃⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
142	C₃²×C₅	#123	1	1	yes	characteristic, complemented, Hall
143	C₂³×C₅	—	3	1	no	—
144	C₂³×C₅	—	3	1	no	—
145	C₅×D₄	—	6	2	no	—
146	C₂×C₄×C₅	—	3	1	no	—
147	C₂×C₄×C₅	—	3	1	no	—
148	C₂×C₄×C₅	—	6	2	no	—
149	C₂×C₄×C₅	C₂×C₃×D₃	1	1	yes	characteristic
150	C₂×C₄×C₅	C₂×C₃×D₃	1	1	yes	characteristic
151	C₂×C₄×C₅	C₂×C₃×D₃	1	1	yes	characteristic
152	C₂²×C₃²	C₂³×C₅	1	1	yes	characteristic
153	C₂×C₃×D₃	—	2	1	no	—
154	C₂×C₃×D₃	—	2	1	no	—
155	C₂×C₃×D₃	—	2	1	no	—
156	C₂×C₃×D₃	—	2	1	no	—
157	C₂×C₃×D₃	—	2	1	no	—
158	C₂×C₃×D₃	C₅×D₄	1	2	yes	—
159	C₃²×C₄	—	2	1	no	—
160	C₃²×C₄	—	2	1	no	—
161	C₃²×C₄	—	2	1	no	—
162	C₃×Dic₃	—	2	1	no	—
163	C₃×Dic₃	—	2	1	no	—
164	#123	—	3	1	no	Sylow
165	C₂×C₃×C₅	—	2	1	no	—
166	C₂×C₃×C₅	—	2	1	no	—
167	C₂×C₃×C₅	—	2	1	no	—
168	C₂×C₃×C₅	—	6	2	no	—
169	C₂×C₃×C₅	—	12	1	no	—
170	C₂×C₃×C₅	#235	1	1	yes	characteristic
171	C₂×C₃×C₅	D₃×D₄	1	1	yes	characteristic
172	C₂×C₃×C₅	#239	1	1	yes	characteristic
173	C₂×C₃×C₅	C₂×C₃×D₄	1	1	yes	characteristic
174	C₂×C₃×C₅	C₃×#41	1	1	yes	characteristic
175	C₂×C₃×C₅	C₃×#41	1	1	yes	characteristic
176	C₅×D₃	—	2	2	no	—
177	C₅×D₃	—	4	1	no	—
178	C₂³×C₃	—	3	1	no	—
179	C₂³×C₃	—	3	1	no	—
180	C₂²×D₃	C₂²×C₃×C₅	1	1	yes	characteristic
181	C₂²×D₃	C₂²×C₃×C₅	1	1	yes	characteristic
182	C₃×D₄	—	6	2	no	—
183	C₂×C₃×C₄	—	2	1	no	—
184	C₂×C₃×C₄	—	2	1	no	—
185	C₂×C₃×C₄	—	2	1	no	—
186	C₂×C₃×C₄	—	3	1	no	—
187	C₂×C₃×C₄	—	3	1	no	—
188	C₂×C₃×C₄	—	6	2	no	—
189	C₂×C₃×C₄	C₂×C₅×D₃	1	1	yes	characteristic
190	C₂×C₃×C₄	C₂×C₅×D₃	1	1	yes	characteristic
191	C₂×C₃×C₄	C₂×C₅×D₃	1	1	yes	characteristic
192	C₂×C₃×C₄	C₂²×C₃×C₅	1	1	yes	characteristic
193	C₂×C₃×C₄	C₂²×C₃×C₅	1	1	yes	characteristic
194	C₂×C₃×C₄	C₂²×C₃×C₅	1	1	yes	characteristic
195	C₂×Dic₃	C₂²×C₃×C₅	1	1	yes	characteristic
196	C₂×Dic₃	C₂²×C₃×C₅	1	1	yes	characteristic
197	D₁₂	—	2	2	no	—
198	C₄×D₃	—	2	2	no	—
199	C₂²×C₅	—	3	2	no	—
200	C₂²×C₅	—	6	1	no	—
201	C₂²×C₅	—	6	1	no	—
202	C₂²×C₅	—	6	1	no	—
203	C₂²×C₅	—	6	1	no	—
204	C₂²×C₅	—	6	1	no	—
205	C₂²×C₅	C₂²×C₃×D₃	1	1	yes	characteristic
206	C₄×C₅	—	2	1	no	—
207	C₄×C₅	—	2	1	no	—
208	C₄×C₅	—	2	1	no	—
209	C₄×C₅	—	6	1	no	—
210	C₄×C₅	—	6	1	no	—
211	C₂×C₃²	C₂×C₅×D₄	1	1	yes	characteristic
212	C₂×C₃²	C₅×#41	1	1	yes	characteristic
213	C₂×C₃²	C₅×#41	1	1	yes	characteristic
214	C₃×D₃	—	2	2	no	—
215	C₃×D₃	—	4	1	no	—
216	C₂×D₄	—	3	1	no	—
217	C₂²×C₄	—	3	1	no	—
218	C₄⋊C₄	—	3	1	no	—
219	C₄⋊C₄	C₃×C₅×D₃	1	1	yes	characteristic, complemented
220	C₂²⋊C₄	—	3	1	no	—
221	C₂²⋊C₄	—	3	1	no	—
222	C₂²⋊C₄	—	3	1	no	—
223	C₃×C₅	—	2	1	no	—
224	C₃×C₅	#894	1	1	yes	characteristic, direct product factor
225	C₃×C₅	C₃×#123	1	1	yes	characteristic, complemented
226	C₂²×C₃	—	2	1	no	—
227	C₂²×C₃	—	3	2	no	—
228	C₂²×C₃	—	6	1	no	—
229	C₂²×C₃	—	6	1	no	—
230	C₂²×C₃	—	6	1	no	—
231	C₂²×C₃	—	6	1	no	—
232	C₂²×C₃	—	6	1	no	—
233	C₂²×C₃	C₂²×C₅×D₃	1	1	yes	characteristic
234	C₂²×C₃	C₂³×C₃×C₅	1	1	yes	characteristic
235	C₂×D₃	—	2	1	no	—
236	C₂×D₃	—	2	1	no	—
237	C₂×D₃	—	2	1	no	—
238	C₂×D₃	—	2	1	no	—
239	C₂×D₃	—	2	1	no	—
240	C₂×D₃	C₃×C₅×D₄	1	2	yes	—
241	C₃×C₄	—	2	2	no	—
242	C₃×C₄	—	2	1	no	—
243	C₃×C₄	—	2	1	no	—
244	C₃×C₄	—	2	1	no	—
245	C₃×C₄	—	2	1	no	—
246	C₃×C₄	—	2	1	no	—
247	C₃×C₄	—	2	1	no	—
248	C₃×C₄	—	4	1	no	—
249	C₃×C₄	—	4	1	no	—
250	C₃×C₄	—	6	1	no	—
251	C₃×C₄	—	6	1	no	—
252	Dic₃	—	2	1	no	—
253	Dic₃	—	2	1	no	—
254	C₂×C₅	—	6	2	no	—
255	C₂×C₅	—	12	1	no	—
256	C₂×C₅	C₃×#235	1	1	yes	characteristic
257	C₂×C₅	C₃×D₃×D₄	1	1	yes	characteristic
258	C₂×C₅	C₃×#239	1	1	yes	characteristic
259	C₃²	C₅×#123	1	1	yes	characteristic, complemented, Sylow
260	C₂³	—	3	1	no	—
261	C₂³	—	3	1	no	—
262	D₄	—	6	2	no	—
263	C₂×C₄	—	3	1	no	—
264	C₂×C₄	—	3	1	no	—
265	C₂×C₄	—	6	2	no	—
266	C₂×C₄	C₂×C₃×C₅×D₃	1	1	yes	characteristic
267	C₂×C₄	C₂×C₃×C₅×D₃	1	1	yes	characteristic
268	C₂×C₄	C₂×C₃×C₅×D₃	1	1	yes	characteristic
269	C₂×C₃	—	2	1	no	—
270	C₂×C₃	—	2	1	no	—
271	C₂×C₃	—	2	1	no	—
272	C₂×C₃	—	6	2	no	—
273	C₂×C₃	—	12	1	no	—
274	C₂×C₃	C₅×#235	1	1	yes	characteristic
275	C₂×C₃	C₅×D₃×D₄	1	1	yes	characteristic
276	C₂×C₃	C₅×#239	1	1	yes	characteristic
277	C₂×C₃	C₂×C₃×C₅×D₄	1	1	yes	characteristic
278	C₂×C₃	C₃×C₅×#41	1	1	yes	characteristic
279	C₂×C₃	C₃×C₅×#41	1	1	yes	characteristic
280	D₃	—	2	2	no	—
281	D₃	—	4	1	no	—
282	C₅	C₃×#894	1	1	yes	characteristic, direct product factor, Sylow
283	C₂²	—	3	2	no	—
284	C₂²	—	6	1	no	—
285	C₂²	—	6	1	no	—
286	C₂²	—	6	1	no	—
287	C₂²	—	6	1	no	—
288	C₂²	—	6	1	no	—
289	C₂²	C₂²×C₃×C₅×D₃	1	1	yes	characteristic
290	C₄	—	2	1	no	—
291	C₄	—	2	1	no	—
292	C₄	—	2	1	no	—
293	C₄	—	6	1	no	—
294	C₄	—	6	1	no	—
295	C₃	—	2	1	no	—
296	C₃	C₅×#894	1	1	yes	characteristic, direct product factor
297	C₃	C₃×C₅×#123	1	1	yes	characteristic, complemented
298	C₂	—	6	2	no	—
299	C₂	—	12	1	no	—
300	C₂	C₃×C₅×#235	1	1	yes	characteristic
301	C₂	C₃×C₅×D₃×D₄	1	1	yes	characteristic
302	C₂	C₃×C₅×#239	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃×C₅	C₂²×D₃
commutator, cosocle	C₂²×C₃	C₂³×C₃×C₅
Frattini	C₂²	C₂²×C₃×C₅×D₃
Fitting	C₃²×C₅×C₄⋊C₄	C₂
socle	C₂²×C₃²×C₅	C₂³
prime radical	C₂×C₃×C₅×D₁₂	C₂
hypercenter	C₃×C₅×C₄⋊C₄	D₃
hypocenter	C₃	C₃×C₅×#123
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₃×C₅ ◁ C₃×C₅×C₄⋊C₄

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₄×C₅×D₃	C₂	semidirect
3. C₃²×C₅×C₄⋊C₄	C₂	semidirect
4. C₃×C₅×(C₂×D₃)⋊C₄	C₂	semidirect
5. C₃×C₅×(C₂×D₃)⋊C₄	C₂	semidirect
6. C₃×C₅×(C₂×D₃)⋊C₄	C₂	semidirect
7. C₃×C₅×Dic₃⋊C₄	C₂	semidirect
9. C₅×#894	C₃	direct (N × H)
19. C₃×#894	C₅	direct (N × H)
23. C₂×C₄×C₅×D₃	C₂×C₃	semidirect
26. C₃×C₅×C₄⋊C₄	D₃	semidirect
27. C₃×C₅×C₄⋊C₄	C₂×C₃	semidirect
31. C₅×(C₂×D₃)⋊C₄	C₂×C₃	semidirect
32. C₅×(C₂×D₃)⋊C₄	C₂×C₃	semidirect
33. C₅×(C₂×D₃)⋊C₄	C₂×C₃	semidirect
34. C₅×Dic₃⋊C₄	C₂×C₃	semidirect
49. C₂×C₃×C₄×D₃	C₂×C₅	semidirect
50. C₃²×C₄⋊C₄	C₂×C₅	semidirect
51. C₃×(C₂×D₃)⋊C₄	C₂×C₅	semidirect
52. C₃×(C₂×D₃)⋊C₄	C₂×C₅	semidirect
53. C₃×(C₂×D₃)⋊C₄	C₂×C₅	semidirect
54. C₃×Dic₃⋊C₄	C₂×C₅	semidirect
77. #894	C₃×C₅	direct (N × H)
86. C₅×C₄⋊C₄	C₃×D₃	semidirect
130. C₂×C₄×D₃	C₂×C₃×C₅	semidirect
133. C₃×C₄⋊C₄	C₅×D₃	semidirect
134. C₃×C₄⋊C₄	C₂×C₃×C₅	semidirect
138. (C₂×D₃)⋊C₄	C₂×C₃×C₅	semidirect
139. (C₂×D₃)⋊C₄	C₂×C₃×C₅	semidirect
140. (C₂×D₃)⋊C₄	C₂×C₃×C₅	semidirect
141. Dic₃⋊C₄	C₂×C₃×C₅	semidirect
142. C₃²×C₅	#123	semidirect
219. C₄⋊C₄	C₃×C₅×D₃	semidirect
224. C₃×C₅	#894	direct (N × H)
225. C₃×C₅	C₃×#123	semidirect
259. C₃²	C₅×#123	semidirect
282. C₅	C₃×#894	direct (N × H)
296. C₃	C₅×#894	direct (N × H)
297. C₃	C₃×C₅×#123	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₃×C₅×D₁₂	2
C₂×C₃×C₄×C₅×D₃	2
C₃²×C₅×C₄⋊C₄	2
C₃×C₅×(C₂×D₃)⋊C₄	2
C₃×C₅×Dic₃⋊C₄	2
C₃×C₅×#123	3
C₅×#894	3
C₃×#894	5

Subgroups — C3×C5×#894 #13087906

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#894 #13087906