Subgroups — C₃×C₅×#3202 #14276236

Order 1920.

756 conjugacy classes of subgroups.

The subgroup lattice has 344 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#536	C₂	1	2	yes	maximal
2	C₃×C₅×#485	C₂	1	4	yes	maximal, complemented
3	C₃×C₅×#470	C₂	1	2	yes	maximal, complemented
4	C₃×C₅×#467	C₂	1	2	yes	maximal, complemented
5	C₃×C₅×#451	C₂	1	4	yes	maximal, complemented
6	C₃×C₅×#408	C₂	1	1	yes	maximal, characteristic
7	C₅×#3202	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
8	C₂×C₃×C₅×#41	C₂²	1	1	yes	characteristic
9	C₂²×C₃×C₅×Q₈	C₂²	1	2	yes	—
10	C₂×C₃×C₅×Q₁₆	C₂²	1	2	yes	—
11	C₂×C₃×C₅×Q₁₆	C₂²	1	2	yes	—
12	C₂×C₃×C₅×M₁₆	C₂²	1	1	yes	characteristic
13	C₂²×C₃×C₅×C₈	C₂²	1	1	yes	characteristic
14	C₃×C₅×C₄⋊Q₈	—	2	2	no	—
15	C₃×C₅×#124	—	2	2	no	—
16	C₃×C₅×#123	—	2	2	no	—
17	C₃×C₅×#123	—	2	2	no	—
18	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
19	C₃×C₅×C₂²⋊Q₈	C₂²	1	4	yes	—
20	C₃×C₅×#117	C₂²	1	2	yes	—
21	C₃×C₅×#107	C₂²	1	2	yes	—
22	C₃×C₅×#106	C₂²	1	2	yes	—
23	C₃×C₅×#103	C₂²	1	4	yes	—
24	C₃×C₅×#103	C₂²	1	4	yes	—
25	C₃×C₅×C₂²⋊C₈	C₂²	1	4	yes	—
26	C₃×#3202	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
27	C₅×#536	C₂×C₃	1	2	yes	—
28	C₅×#485	C₂×C₃	1	4	yes	complemented
29	C₅×#470	C₂×C₃	1	2	yes	complemented
30	C₅×#467	C₂×C₃	1	2	yes	complemented
31	C₅×#451	C₂×C₃	1	4	yes	complemented
32	C₅×#408	C₂×C₃	1	1	yes	characteristic
33	C₃×C₅×#41	—	4	1	no	—
34	C₃×C₅×#41	—	4	1	no	—
35	C₂×C₃×C₅×Q₈	—	2	2	no	—
36	C₂×C₃×C₅×Q₈	—	4	2	no	—
37	C₂×C₃×C₅×Q₈	—	4	2	no	—
38	C₂×C₃×C₅×Q₈	D₄	1	1	yes	characteristic
39	C₂×C₃×C₅×Q₈	C₂³	1	4	yes	—
40	C₂×C₃×C₅×D₄	D₄	1	1	yes	characteristic
41	C₂×C₃×C₅×D₄	D₄	1	2	yes	—
42	C₂²×C₃×C₄×C₅	—	2	2	no	—
43	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
44	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
45	C₃×C₅×Q₁₆	—	4	2	no	—
46	C₃×C₅×Q₁₆	—	4	2	no	—
47	C₃×C₅×M₁₆	—	4	1	no	—
48	C₂×C₃×C₅×C₈	—	4	1	no	—
49	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
50	C₂×C₃×C₅×C₈	C₂³	1	2	yes	—
51	C₃×C₅×C₄⋊C₄	—	2	4	no	—
52	C₃×C₅×C₄⋊C₄	—	2	4	no	—
53	C₃×C₅×C₄⋊C₄	C₂³	1	4	yes	—
54	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
55	C₃×C₅×C₂²⋊C₄	—	2	4	no	—
56	C₃×C₅×C₂²⋊C₄	—	2	4	no	—
57	C₃×C₄²×C₅	—	2	2	no	—
58	C₃×#536	C₂×C₅	1	2	yes	—
59	C₃×#485	C₂×C₅	1	4	yes	complemented
60	C₃×#470	C₂×C₅	1	2	yes	complemented
61	C₃×#467	C₂×C₅	1	2	yes	complemented
62	C₃×#451	C₂×C₅	1	4	yes	complemented
63	C₃×#408	C₂×C₅	1	1	yes	characteristic
64	C₂×C₅×#41	C₂²×C₃	1	1	yes	characteristic
65	C₂²×C₅×Q₈	C₂²×C₃	1	2	yes	—
66	C₂×C₅×Q₁₆	C₂²×C₃	1	2	yes	—
67	C₂×C₅×Q₁₆	C₂²×C₃	1	2	yes	—
68	C₂×C₅×M₁₆	C₂²×C₃	1	1	yes	characteristic
69	C₂²×C₅×C₈	C₂²×C₃	1	1	yes	characteristic
70	C₅×C₄⋊Q₈	—	2	2	no	—
71	C₅×#124	—	2	2	no	—
72	C₅×#123	—	2	2	no	—
73	C₅×#123	—	2	2	no	—
74	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
75	C₅×C₂²⋊Q₈	C₂²×C₃	1	4	yes	—
76	C₅×#117	C₂²×C₃	1	2	yes	—
77	C₅×#107	C₂²×C₃	1	2	yes	—
78	C₅×#106	C₂²×C₃	1	2	yes	—
79	C₅×#103	C₂²×C₃	1	4	yes	—
80	C₅×#103	C₂²×C₃	1	4	yes	—
81	C₅×C₂²⋊C₈	C₂²×C₃	1	4	yes	—
82	#3202	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
83	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
84	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
85	C₃×C₅×Q₈	—	2	4	no	—
86	C₃×C₅×Q₈	—	2	4	no	—
87	C₃×C₅×Q₈	—	4	1	no	—
88	C₃×C₅×Q₈	—	4	4	no	—
89	C₃×C₅×D₄	—	4	1	no	—
90	C₃×C₅×D₄	—	4	2	no	—
91	C₂×C₃×C₄×C₅	—	2	1	no	—
92	C₂×C₃×C₄×C₅	—	2	1	no	—
93	C₂×C₃×C₄×C₅	—	2	2	no	—
94	C₂×C₃×C₄×C₅	—	2	2	no	—
95	C₂×C₃×C₄×C₅	—	2	4	no	—
96	C₂×C₃×C₄×C₅	—	2	4	no	—
97	C₂×C₃×C₄×C₅	—	4	4	no	—
98	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
99	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
100	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
101	C₃×C₅×C₈	—	2	2	no	—
102	C₃×C₅×C₈	—	2	2	no	—
103	C₂×C₃×#41	C₂²×C₅	1	1	yes	characteristic
104	C₂²×C₃×Q₈	C₂²×C₅	1	2	yes	—
105	C₂×C₃×Q₁₆	C₂²×C₅	1	2	yes	—
106	C₂×C₃×Q₁₆	C₂²×C₅	1	2	yes	—
107	C₂×C₃×M₁₆	C₂²×C₅	1	1	yes	characteristic
108	C₂²×C₃×C₈	C₂²×C₅	1	1	yes	characteristic
109	C₃×C₄⋊Q₈	—	2	2	no	—
110	C₃×#124	—	2	2	no	—
111	C₃×#123	—	2	2	no	—
112	C₃×#123	—	2	2	no	—
113	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
114	C₃×C₂²⋊Q₈	C₂²×C₅	1	4	yes	—
115	C₃×#117	C₂²×C₅	1	2	yes	—
116	C₃×#107	C₂²×C₅	1	2	yes	—
117	C₃×#106	C₂²×C₅	1	2	yes	—
118	C₃×#103	C₂²×C₅	1	4	yes	—
119	C₃×#103	C₂²×C₅	1	4	yes	—
120	C₃×C₂²⋊C₈	C₂²×C₅	1	4	yes	—
121	C₅×#41	—	4	1	no	—
122	C₅×#41	—	4	1	no	—
123	C₂×C₅×Q₈	—	2	2	no	—
124	C₂×C₅×Q₈	—	4	2	no	—
125	C₂×C₅×Q₈	—	4	2	no	—
126	C₂×C₅×Q₈	C₃×D₄	1	1	yes	characteristic
127	C₂×C₅×Q₈	C₂³×C₃	1	4	yes	—
128	C₂×C₅×D₄	C₃×D₄	1	1	yes	characteristic
129	C₂×C₅×D₄	C₃×D₄	1	2	yes	—
130	C₂²×C₄×C₅	—	2	2	no	—
131	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
132	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
133	C₅×Q₁₆	—	4	2	no	—
134	C₅×Q₁₆	—	4	2	no	—
135	C₅×M₁₆	—	4	1	no	—
136	C₂×C₅×C₈	—	4	1	no	—
137	C₂×C₅×C₈	C₂³×C₃	1	2	yes	—
138	C₂×C₅×C₈	C₂³×C₃	1	2	yes	—
139	C₅×C₄⋊C₄	—	2	4	no	—
140	C₅×C₄⋊C₄	—	2	4	no	—
141	C₅×C₄⋊C₄	C₂³×C₃	1	4	yes	—
142	C₅×C₂²⋊C₄	—	2	2	no	—
143	C₅×C₂²⋊C₄	—	2	4	no	—
144	C₅×C₂²⋊C₄	—	2	4	no	—
145	C₄²×C₅	—	2	2	no	—
146	#536	C₂×C₃×C₅	1	2	yes	—
147	#485	C₂×C₃×C₅	1	4	yes	complemented
148	#470	C₂×C₃×C₅	1	2	yes	complemented
149	#467	C₂×C₃×C₅	1	2	yes	complemented
150	#451	C₂×C₃×C₅	1	4	yes	complemented
151	#408	C₂×C₃×C₅	1	1	yes	characteristic
152	C₂²×C₃×C₅	—	2	2	no	—
153	C₂²×C₃×C₅	—	2	1	no	—
154	C₂²×C₃×C₅	—	2	2	no	—
155	C₂²×C₃×C₅	—	2	4	no	—
156	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
157	C₃×C₄×C₅	—	2	1	no	—
158	C₃×C₄×C₅	—	2	2	no	—
159	C₃×C₄×C₅	—	4	4	no	—
160	C₃×C₄×C₅	—	4	4	no	—
161	C₃×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
162	C₃×C₄×C₅	H(5,𝔽₂)	1	1	yes	characteristic
163	C₃×#41	—	4	1	no	—
164	C₃×#41	—	4	1	no	—
165	C₂×C₃×Q₈	—	2	2	no	—
166	C₂×C₃×Q₈	—	4	2	no	—
167	C₂×C₃×Q₈	—	4	2	no	—
168	C₂×C₃×Q₈	C₅×D₄	1	1	yes	characteristic
169	C₂×C₃×Q₈	C₂³×C₅	1	4	yes	—
170	C₂×C₃×D₄	C₅×D₄	1	1	yes	characteristic
171	C₂×C₃×D₄	C₅×D₄	1	2	yes	—
172	C₂²×C₃×C₄	—	2	2	no	—
173	C₂²×C₃×C₄	C₂³×C₅	1	2	yes	—
174	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
175	C₃×Q₁₆	—	4	2	no	—
176	C₃×Q₁₆	—	4	2	no	—
177	C₃×M₁₆	—	4	1	no	—
178	C₂×C₃×C₈	—	4	1	no	—
179	C₂×C₃×C₈	C₂³×C₅	1	2	yes	—
180	C₂×C₃×C₈	C₂³×C₅	1	2	yes	—
181	C₃×C₄⋊C₄	—	2	4	no	—
182	C₃×C₄⋊C₄	—	2	4	no	—
183	C₃×C₄⋊C₄	C₂³×C₅	1	4	yes	—
184	C₃×C₂²⋊C₄	—	2	2	no	—
185	C₃×C₂²⋊C₄	—	2	4	no	—
186	C₃×C₂²⋊C₄	—	2	4	no	—
187	C₃×C₄²	—	2	2	no	—
188	C₂³×C₅	C₂×C₃×D₄	1	1	yes	characteristic
189	C₂³×C₅	C₂×C₃×D₄	1	2	yes	—
190	C₅×Q₈	—	2	4	no	—
191	C₅×Q₈	—	2	4	no	—
192	C₅×Q₈	—	4	1	no	—
193	C₅×Q₈	—	4	4	no	—
194	C₅×D₄	—	4	1	no	—
195	C₅×D₄	—	4	2	no	—
196	C₂×C₄×C₅	—	2	1	no	—
197	C₂×C₄×C₅	—	2	1	no	—
198	C₂×C₄×C₅	—	2	2	no	—
199	C₂×C₄×C₅	—	2	2	no	—
200	C₂×C₄×C₅	—	2	4	no	—
201	C₂×C₄×C₅	—	2	4	no	—
202	C₂×C₄×C₅	—	4	4	no	—
203	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
204	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
205	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
206	C₅×C₈	—	2	2	no	—
207	C₅×C₈	—	2	2	no	—
208	C₂×#41	C₂²×C₃×C₅	1	1	yes	characteristic
209	C₂²×Q₈	C₂²×C₃×C₅	1	2	yes	—
210	C₂×Q₁₆	C₂²×C₃×C₅	1	2	yes	—
211	C₂×Q₁₆	C₂²×C₃×C₅	1	2	yes	—
212	C₂×M₁₆	C₂²×C₃×C₅	1	1	yes	characteristic
213	C₂²×C₈	C₂²×C₃×C₅	1	1	yes	characteristic
214	C₄⋊Q₈	—	2	2	no	—
215	#124	—	2	2	no	—
216	#123	—	2	2	no	—
217	#123	—	2	2	no	—
218	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	—
219	C₂²⋊Q₈	C₂²×C₃×C₅	1	4	yes	—
220	#117	C₂²×C₃×C₅	1	2	yes	—
221	#107	C₂²×C₃×C₅	1	2	yes	—
222	#106	C₂²×C₃×C₅	1	2	yes	—
223	#103	C₂²×C₃×C₅	1	4	yes	—
224	#103	C₂²×C₃×C₅	1	4	yes	—
225	C₂²⋊C₈	C₂²×C₃×C₅	1	4	yes	—
226	C₂×C₃×C₅	—	4	2	no	—
227	C₂×C₃×C₅	—	4	1	no	—
228	C₂×C₃×C₅	#534	1	1	yes	characteristic
229	C₂×C₃×C₅	#578	1	2	yes	—
230	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
231	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
232	C₃×Q₈	—	2	4	no	—
233	C₃×Q₈	—	2	4	no	—
234	C₃×Q₈	—	4	1	no	—
235	C₃×Q₈	—	4	4	no	—
236	C₃×D₄	—	4	1	no	—
237	C₃×D₄	—	4	2	no	—
238	C₂×C₃×C₄	—	2	1	no	—
239	C₂×C₃×C₄	—	2	1	no	—
240	C₂×C₃×C₄	—	2	2	no	—
241	C₂×C₃×C₄	—	2	2	no	—
242	C₂×C₃×C₄	—	2	4	no	—
243	C₂×C₃×C₄	—	2	4	no	—
244	C₂×C₃×C₄	—	4	4	no	—
245	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
246	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
247	C₂×C₃×C₄	C₂⁴×C₅	1	1	yes	characteristic
248	C₃×C₈	—	2	2	no	—
249	C₃×C₈	—	2	2	no	—
250	C₂²×C₅	—	2	2	no	—
251	C₂²×C₅	—	2	4	no	—
252	C₂²×C₅	—	2	2	no	—
253	C₂²×C₅	—	2	1	no	—
254	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
255	C₄×C₅	—	2	1	no	—
256	C₄×C₅	—	2	2	no	—
257	C₄×C₅	—	4	4	no	—
258	C₄×C₅	—	4	4	no	—
259	C₄×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
260	C₄×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
261	#41	—	4	1	no	—
262	#41	—	4	1	no	—
263	C₂×Q₈	—	2	2	no	—
264	C₂×Q₈	—	4	2	no	—
265	C₂×Q₈	—	4	2	no	—
266	C₂×Q₈	C₃×C₅×D₄	1	1	yes	characteristic
267	C₂×Q₈	C₂³×C₃×C₅	1	4	yes	—
268	C₂×D₄	C₃×C₅×D₄	1	1	yes	characteristic
269	C₂×D₄	C₃×C₅×D₄	1	2	yes	—
270	C₂²×C₄	—	2	2	no	—
271	C₂²×C₄	C₂³×C₃×C₅	1	2	yes	—
272	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
273	Q₁₆	—	4	2	no	—
274	Q₁₆	—	4	2	no	—
275	M₁₆	—	4	1	no	—
276	C₂×C₈	—	4	1	no	—
277	C₂×C₈	C₂³×C₃×C₅	1	2	yes	—
278	C₂×C₈	C₂³×C₃×C₅	1	2	yes	—
279	C₄⋊C₄	—	2	4	no	—
280	C₄⋊C₄	—	2	4	no	—
281	C₄⋊C₄	C₂³×C₃×C₅	1	4	yes	—
282	C₂²⋊C₄	—	2	2	no	—
283	C₂²⋊C₄	—	2	4	no	—
284	C₂²⋊C₄	—	2	4	no	—
285	C₄²	—	2	2	no	—
286	C₃×C₅	#3202	1	1	yes	characteristic, direct product factor, Hall
287	C₂²×C₃	—	2	2	no	—
288	C₂²×C₃	—	2	1	no	—
289	C₂²×C₃	—	2	2	no	—
290	C₂²×C₃	—	2	4	no	—
291	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
292	C₃×C₄	—	2	1	no	—
293	C₃×C₄	—	2	2	no	—
294	C₃×C₄	—	4	4	no	—
295	C₃×C₄	—	4	4	no	—
296	C₃×C₄	C₅×H(5,𝔽₂)	1	1	yes	characteristic
297	C₃×C₄	C₅×H(5,𝔽₂)	1	1	yes	characteristic
298	C₂×C₅	—	4	2	no	—
299	C₂×C₅	—	4	1	no	—
300	C₂×C₅	C₃×#534	1	1	yes	characteristic
301	C₂×C₅	C₃×#578	1	2	yes	—
302	C₂³	C₂×C₃×C₅×D₄	1	1	yes	characteristic
303	C₂³	C₂×C₃×C₅×D₄	1	2	yes	—
304	Q₈	—	2	4	no	—
305	Q₈	—	2	4	no	—
306	Q₈	—	4	1	no	—
307	Q₈	—	4	4	no	—
308	D₄	—	4	2	no	—
309	D₄	—	4	1	no	—
310	C₂×C₄	—	2	1	no	—
311	C₂×C₄	—	2	1	no	—
312	C₂×C₄	—	2	2	no	—
313	C₂×C₄	—	2	2	no	—
314	C₂×C₄	—	2	4	no	—
315	C₂×C₄	—	2	4	no	—
316	C₂×C₄	—	4	4	no	—
317	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
318	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
319	C₂×C₄	C₂⁴×C₃×C₅	1	1	yes	characteristic
320	C₈	—	2	2	no	—
321	C₈	—	2	2	no	—
322	C₂×C₃	—	4	2	no	—
323	C₂×C₃	—	4	1	no	—
324	C₂×C₃	C₅×#534	1	1	yes	characteristic
325	C₂×C₃	C₅×#578	1	2	yes	—
326	C₅	C₃×#3202	1	1	yes	characteristic, direct product factor, Sylow
327	C₂²	—	2	2	no	—
328	C₂²	—	2	1	no	—
329	C₂²	—	2	2	no	—
330	C₂²	—	2	4	no	—
331	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
332	C₄	—	2	2	no	—
333	C₄	—	2	1	no	—
334	C₄	—	4	4	no	—
335	C₄	—	4	4	no	—
336	C₄	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
337	C₄	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
338	C₃	C₅×#3202	1	1	yes	characteristic, direct product factor, Sylow
339	C₂	—	4	2	no	—
340	C₂	—	4	1	no	—
341	C₂	C₃×C₅×#534	1	1	yes	characteristic
342	C₂	C₃×C₅×#578	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₃×C₅	C₂²×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁴×C₃×C₅
prime radical	C₂×C₃×C₅×#41	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃×C₅ ◁ C₂×C₃×C₅×#41 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×C₅×#485	C₂	semidirect
3. C₃×C₅×#470	C₂	semidirect
4. C₃×C₅×#467	C₂	semidirect
5. C₃×C₅×#451	C₂	semidirect
7. C₅×#3202	C₃	direct (N × H)
26. C₃×#3202	C₅	direct (N × H)
28. C₅×#485	C₂×C₃	semidirect
29. C₅×#470	C₂×C₃	semidirect
30. C₅×#467	C₂×C₃	semidirect
31. C₅×#451	C₂×C₃	semidirect
59. C₃×#485	C₂×C₅	semidirect
60. C₃×#470	C₂×C₅	semidirect
61. C₃×#467	C₂×C₅	semidirect
62. C₃×#451	C₂×C₅	semidirect
82. #3202	C₃×C₅	direct (N × H)
147. #485	C₂×C₃×C₅	semidirect
148. #470	C₂×C₃×C₅	semidirect
149. #467	C₂×C₃×C₅	semidirect
150. #451	C₂×C₃×C₅	semidirect
286. C₃×C₅	#3202	direct (N × H)
326. C₅	C₃×#3202	direct (N × H)
338. C₃	C₅×#3202	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×C₅×#536	2
C₃×C₅×#485	2
C₃×C₅×#470	2
C₃×C₅×#467	2
C₃×C₅×#451	2
C₃×C₅×#408	2
C₅×#3202	3
C₃×#3202	5

Subgroups — C3×C5×#3202 #14276236

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#3202 #14276236