Subgroups — C₃×C₅×#1492 #14274526

Order 1920.

552 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×#532	C₂	1	1	yes	maximal, characteristic
2	C₃×C₅×#423	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×C₄×C₅×C₈	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×D₄⋊C₈	C₂	1	4	yes	maximal, complemented
5	C₅×#1492	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂×C₃×C₅×#41	—	2	1	no	—
7	C₂×C₃×C₅×M₁₆	—	2	1	no	—
8	C₂²×C₃×C₅×C₈	—	2	1	no	—
9	C₃×C₅×C₄⋊Q₈	C₄	1	1	yes	characteristic
10	C₃×C₅×#127	C₄	1	1	yes	characteristic
11	C₃×C₅×#124	—	2	1	no	—
12	C₃×C₅×#121	—	2	1	no	—
13	C₃×C₅×#121	C₄	1	2	yes	—
14	C₃×C₄×C₅×D₄	—	2	1	no	—
15	C₃×C₄×C₅×D₄	C₂²	1	2	yes	—
16	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
17	C₃×C₅×C₄⋊C₈	—	2	1	no	—
18	C₃×C₅×C₄⋊C₈	C₂²	1	2	yes	—
19	C₃×C₄×C₅×C₈	—	2	1	no	—
20	C₃×C₄×C₅×C₈	C₂²	1	2	yes	—
21	C₃×#1492	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
22	C₅×#532	C₂×C₃	1	1	yes	characteristic
23	C₅×#423	C₂×C₃	1	1	yes	characteristic, complemented
24	C₂×C₄×C₅×C₈	C₂×C₃	1	1	yes	characteristic, complemented
25	C₅×D₄⋊C₈	C₂×C₃	1	4	yes	complemented
26	C₃×C₅×#41	—	4	2	no	—
27	C₃×C₅×#41	—	4	2	no	—
28	C₂×C₃×C₅×Q₈	—	2	1	no	—
29	C₂×C₃×C₅×D₄	—	2	2	no	—
30	C₂×C₃×C₅×D₄	—	2	1	no	—
31	C₂×C₃×C₅×D₄	—	2	1	no	—
32	C₂×C₃×C₅×D₄	C₂×C₄	1	2	yes	—
33	C₂²×C₃×C₄×C₅	—	2	2	no	—
34	C₂²×C₃×C₄×C₅	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
36	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
37	C₃×C₅×M₁₆	—	4	2	no	—
38	C₂×C₃×C₅×C₈	—	2	4	no	—
39	C₂×C₃×C₅×C₈	—	2	2	no	—
40	C₂×C₃×C₅×C₈	—	2	2	no	—
41	C₃×C₅×C₄⋊C₄	—	2	1	no	—
42	C₃×C₅×C₄⋊C₄	C₂×C₄	1	2	yes	—
43	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
44	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
45	C₃×C₄²×C₅	C₂×C₄	1	1	yes	characteristic
46	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
47	C₃×C₄²×C₅	D₄	1	1	yes	characteristic
48	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
49	C₃×#532	C₂×C₅	1	1	yes	characteristic
50	C₃×#423	C₂×C₅	1	1	yes	characteristic, complemented
51	C₂×C₃×C₄×C₈	C₂×C₅	1	1	yes	characteristic, complemented
52	C₃×D₄⋊C₈	C₂×C₅	1	4	yes	complemented
53	C₂×C₅×#41	—	2	1	no	—
54	C₂×C₅×M₁₆	—	2	1	no	—
55	C₂²×C₅×C₈	—	2	1	no	—
56	C₅×C₄⋊Q₈	C₃×C₄	1	1	yes	characteristic
57	C₅×#127	C₃×C₄	1	1	yes	characteristic
58	C₅×#124	—	2	1	no	—
59	C₅×#121	—	2	1	no	—
60	C₅×#121	C₃×C₄	1	2	yes	—
61	C₄×C₅×D₄	—	2	1	no	—
62	C₄×C₅×D₄	C₂²×C₃	1	2	yes	—
63	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
64	C₅×C₄⋊C₈	—	2	1	no	—
65	C₅×C₄⋊C₈	C₂²×C₃	1	2	yes	—
66	C₄×C₅×C₈	—	2	1	no	—
67	C₄×C₅×C₈	C₂²×C₃	1	2	yes	—
68	#1492	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
69	C₂³×C₃×C₅	—	2	2	no	—
70	C₂³×C₃×C₅	C₂²⋊C₄	1	1	yes	characteristic
71	C₃×C₅×Q₈	—	4	2	no	—
72	C₃×C₅×D₄	—	2	4	no	—
73	C₃×C₅×D₄	—	4	4	no	—
74	C₃×C₅×D₄	—	4	2	no	—
75	C₃×C₅×D₄	—	4	2	no	—
76	C₂×C₃×C₄×C₅	—	2	2	no	—
77	C₂×C₃×C₄×C₅	—	2	2	no	—
78	C₂×C₃×C₄×C₅	—	2	2	no	—
79	C₂×C₃×C₄×C₅	—	4	2	no	—
80	C₂×C₃×C₄×C₅	—	4	2	no	—
81	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
82	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
83	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	1	yes	characteristic
84	C₂×C₃×C₄×C₅	D₈	1	2	yes	—
85	C₂×C₃×C₄×C₅	SD₁₆	1	2	yes	—
86	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
87	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
88	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
89	C₃×C₅×C₈	—	2	4	no	—
90	C₃×C₅×C₈	—	4	2	no	—
91	C₂×C₃×#41	—	2	1	no	—
92	C₂×C₃×M₁₆	—	2	1	no	—
93	C₂²×C₃×C₈	—	2	1	no	—
94	C₃×C₄⋊Q₈	C₄×C₅	1	1	yes	characteristic
95	C₃×#127	C₄×C₅	1	1	yes	characteristic
96	C₃×#124	—	2	1	no	—
97	C₃×#121	—	2	1	no	—
98	C₃×#121	C₄×C₅	1	2	yes	—
99	C₃×C₄×D₄	—	2	1	no	—
100	C₃×C₄×D₄	C₂²×C₅	1	2	yes	—
101	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
102	C₃×C₄⋊C₈	—	2	1	no	—
103	C₃×C₄⋊C₈	C₂²×C₅	1	2	yes	—
104	C₃×C₄×C₈	—	2	1	no	—
105	C₃×C₄×C₈	C₂²×C₅	1	2	yes	—
106	C₅×#41	—	4	2	no	—
107	C₅×#41	—	4	2	no	—
108	C₂×C₅×Q₈	—	2	1	no	—
109	C₂×C₅×D₄	—	2	2	no	—
110	C₂×C₅×D₄	—	2	1	no	—
111	C₂×C₅×D₄	—	2	1	no	—
112	C₂×C₅×D₄	C₂×C₃×C₄	1	2	yes	—
113	C₂²×C₄×C₅	—	2	2	no	—
114	C₂²×C₄×C₅	C₂×C₃×C₄	1	1	yes	characteristic
115	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
116	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
117	C₅×M₁₆	—	4	2	no	—
118	C₂×C₅×C₈	—	2	4	no	—
119	C₂×C₅×C₈	—	2	2	no	—
120	C₂×C₅×C₈	—	2	2	no	—
121	C₅×C₄⋊C₄	—	2	1	no	—
122	C₅×C₄⋊C₄	C₂×C₃×C₄	1	2	yes	—
123	C₅×C₂²⋊C₄	—	2	2	no	—
124	C₅×C₂²⋊C₄	—	2	2	no	—
125	C₄²×C₅	C₂×C₃×C₄	1	1	yes	characteristic
126	C₄²×C₅	C₃×D₄	1	1	yes	characteristic
127	C₄²×C₅	C₃×D₄	1	1	yes	characteristic
128	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
129	#532	C₂×C₃×C₅	1	1	yes	characteristic
130	#423	C₂×C₃×C₅	1	1	yes	characteristic, complemented
131	C₂×C₄×C₈	C₂×C₃×C₅	1	1	yes	characteristic, complemented
132	D₄⋊C₈	C₂×C₃×C₅	1	4	yes	complemented
133	C₂²×C₃×C₅	—	2	1	no	—
134	C₂²×C₃×C₅	—	2	1	no	—
135	C₂²×C₃×C₅	—	4	2	no	—
136	C₂²×C₃×C₅	—	4	2	no	—
137	C₂²×C₃×C₅	—	4	2	no	—
138	C₂²×C₃×C₅	#102	1	2	yes	—
139	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
140	C₃×C₄×C₅	—	2	1	no	—
141	C₃×C₄×C₅	—	2	1	no	—
142	C₃×C₄×C₅	—	4	2	no	—
143	C₃×C₄×C₅	#102	1	2	yes	—
144	C₃×C₄×C₅	#104	1	2	yes	—
145	C₃×C₄×C₅	#131	1	2	yes	—
146	C₃×C₄×C₅	C₂×D₈	1	1	yes	characteristic
147	C₃×C₄×C₅	C₂×SD₁₆	1	1	yes	characteristic
148	C₃×#41	—	4	2	no	—
149	C₃×#41	—	4	2	no	—
150	C₂×C₃×Q₈	—	2	1	no	—
151	C₂×C₃×D₄	—	2	2	no	—
152	C₂×C₃×D₄	—	2	1	no	—
153	C₂×C₃×D₄	—	2	1	no	—
154	C₂×C₃×D₄	C₂×C₄×C₅	1	2	yes	—
155	C₂²×C₃×C₄	—	2	2	no	—
156	C₂²×C₃×C₄	C₂×C₄×C₅	1	1	yes	characteristic
157	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
158	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
159	C₃×M₁₆	—	4	2	no	—
160	C₂×C₃×C₈	—	2	4	no	—
161	C₂×C₃×C₈	—	2	2	no	—
162	C₂×C₃×C₈	—	2	2	no	—
163	C₃×C₄⋊C₄	—	2	1	no	—
164	C₃×C₄⋊C₄	C₂×C₄×C₅	1	2	yes	—
165	C₃×C₂²⋊C₄	—	2	2	no	—
166	C₃×C₂²⋊C₄	—	2	2	no	—
167	C₃×C₄²	C₂×C₄×C₅	1	1	yes	characteristic
168	C₃×C₄²	C₅×D₄	1	1	yes	characteristic
169	C₃×C₄²	C₅×D₄	1	1	yes	characteristic
170	C₃×C₄²	C₂³×C₅	1	1	yes	characteristic
171	C₂³×C₅	—	2	2	no	—
172	C₂³×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
173	C₅×Q₈	—	4	2	no	—
174	C₅×D₄	—	2	4	no	—
175	C₅×D₄	—	4	4	no	—
176	C₅×D₄	—	4	2	no	—
177	C₅×D₄	—	4	2	no	—
178	C₂×C₄×C₅	—	2	2	no	—
179	C₂×C₄×C₅	—	2	2	no	—
180	C₂×C₄×C₅	—	2	2	no	—
181	C₂×C₄×C₅	—	4	2	no	—
182	C₂×C₄×C₅	—	4	2	no	—
183	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
184	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
185	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	1	yes	characteristic
186	C₂×C₄×C₅	C₃×D₈	1	2	yes	—
187	C₂×C₄×C₅	C₃×SD₁₆	1	2	yes	—
188	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
189	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
190	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
191	C₅×C₈	—	2	4	no	—
192	C₅×C₈	—	4	2	no	—
193	C₂×#41	—	2	1	no	—
194	C₂×M₁₆	—	2	1	no	—
195	C₂²×C₈	—	2	1	no	—
196	C₄⋊Q₈	C₃×C₄×C₅	1	1	yes	characteristic
197	#127	C₃×C₄×C₅	1	1	yes	characteristic
198	#124	—	2	1	no	—
199	#121	—	2	1	no	—
200	#121	C₃×C₄×C₅	1	2	yes	—
201	C₄×D₄	—	2	1	no	—
202	C₄×D₄	C₂²×C₃×C₅	1	2	yes	—
203	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
204	C₄⋊C₈	—	2	1	no	—
205	C₄⋊C₈	C₂²×C₃×C₅	1	2	yes	—
206	C₄×C₈	—	2	1	no	—
207	C₄×C₈	C₂²×C₃×C₅	1	2	yes	—
208	C₂×C₃×C₅	—	2	2	no	—
209	C₂×C₃×C₅	—	8	2	no	—
210	C₂×C₃×C₅	#408	1	1	yes	characteristic
211	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
212	C₂×C₃×C₅	C₂×#104	1	1	yes	characteristic
213	C₂³×C₃	—	2	2	no	—
214	C₂³×C₃	C₅×C₂²⋊C₄	1	1	yes	characteristic
215	C₃×Q₈	—	4	2	no	—
216	C₃×D₄	—	2	4	no	—
217	C₃×D₄	—	4	4	no	—
218	C₃×D₄	—	4	2	no	—
219	C₃×D₄	—	4	2	no	—
220	C₂×C₃×C₄	—	2	2	no	—
221	C₂×C₃×C₄	—	2	2	no	—
222	C₂×C₃×C₄	—	2	2	no	—
223	C₂×C₃×C₄	—	4	2	no	—
224	C₂×C₃×C₄	—	4	2	no	—
225	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
226	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
227	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	1	yes	characteristic
228	C₂×C₃×C₄	C₅×D₈	1	2	yes	—
229	C₂×C₃×C₄	C₅×SD₁₆	1	2	yes	—
230	C₂×C₃×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
231	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
232	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
233	C₃×C₈	—	2	4	no	—
234	C₃×C₈	—	4	2	no	—
235	C₂²×C₅	—	2	1	no	—
236	C₂²×C₅	—	2	1	no	—
237	C₂²×C₅	—	4	2	no	—
238	C₂²×C₅	—	4	2	no	—
239	C₂²×C₅	—	4	2	no	—
240	C₂²×C₅	C₃×#102	1	2	yes	—
241	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
242	C₄×C₅	—	2	1	no	—
243	C₄×C₅	—	2	1	no	—
244	C₄×C₅	—	4	2	no	—
245	C₄×C₅	C₃×#102	1	2	yes	—
246	C₄×C₅	C₃×#104	1	2	yes	—
247	C₄×C₅	C₃×#131	1	2	yes	—
248	C₄×C₅	C₂×C₃×D₈	1	1	yes	characteristic
249	C₄×C₅	C₂×C₃×SD₁₆	1	1	yes	characteristic
250	#41	—	4	2	no	—
251	#41	—	4	2	no	—
252	C₂×Q₈	—	2	1	no	—
253	C₂×D₄	—	2	2	no	—
254	C₂×D₄	—	2	1	no	—
255	C₂×D₄	—	2	1	no	—
256	C₂×D₄	C₂×C₃×C₄×C₅	1	2	yes	—
257	C₂²×C₄	—	2	2	no	—
258	C₂²×C₄	C₂×C₃×C₄×C₅	1	1	yes	characteristic
259	C₂²×C₄	C₃×C₅×D₄	1	1	yes	characteristic
260	C₂²×C₄	C₃×C₅×D₄	1	1	yes	characteristic
261	M₁₆	—	4	2	no	—
262	C₂×C₈	—	2	4	no	—
263	C₂×C₈	—	2	2	no	—
264	C₂×C₈	—	2	2	no	—
265	C₄⋊C₄	—	2	1	no	—
266	C₄⋊C₄	C₂×C₃×C₄×C₅	1	2	yes	—
267	C₂²⋊C₄	—	2	2	no	—
268	C₂²⋊C₄	—	2	2	no	—
269	C₄²	C₂×C₃×C₄×C₅	1	1	yes	characteristic
270	C₄²	C₃×C₅×D₄	1	1	yes	characteristic
271	C₄²	C₃×C₅×D₄	1	1	yes	characteristic
272	C₄²	C₂³×C₃×C₅	1	1	yes	characteristic
273	C₃×C₅	#1492	1	1	yes	characteristic, direct product factor, Hall
274	C₂²×C₃	—	2	1	no	—
275	C₂²×C₃	—	2	1	no	—
276	C₂²×C₃	—	4	2	no	—
277	C₂²×C₃	—	4	2	no	—
278	C₂²×C₃	—	4	2	no	—
279	C₂²×C₃	C₅×#102	1	2	yes	—
280	C₂²×C₃	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
281	C₃×C₄	—	2	1	no	—
282	C₃×C₄	—	2	1	no	—
283	C₃×C₄	—	4	2	no	—
284	C₃×C₄	C₅×#102	1	2	yes	—
285	C₃×C₄	C₅×#104	1	2	yes	—
286	C₃×C₄	C₅×#131	1	2	yes	—
287	C₃×C₄	C₂×C₅×D₈	1	1	yes	characteristic
288	C₃×C₄	C₂×C₅×SD₁₆	1	1	yes	characteristic
289	C₂×C₅	—	2	2	no	—
290	C₂×C₅	—	8	2	no	—
291	C₂×C₅	C₃×#408	1	1	yes	characteristic
292	C₂×C₅	C₂×C₃×#102	1	1	yes	characteristic
293	C₂×C₅	C₂×C₃×#104	1	1	yes	characteristic
294	C₂³	—	2	2	no	—
295	C₂³	C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
296	Q₈	—	4	2	no	—
297	D₄	—	2	4	no	—
298	D₄	—	4	4	no	—
299	D₄	—	4	2	no	—
300	D₄	—	4	2	no	—
301	C₂×C₄	—	2	2	no	—
302	C₂×C₄	—	2	2	no	—
303	C₂×C₄	—	2	2	no	—
304	C₂×C₄	—	4	2	no	—
305	C₂×C₄	—	4	2	no	—
306	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
307	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
308	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
309	C₂×C₄	C₃×C₅×D₈	1	2	yes	—
310	C₂×C₄	C₃×C₅×SD₁₆	1	2	yes	—
311	C₂×C₄	C₂²×C₃×C₄×C₅	1	1	yes	characteristic
312	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
313	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
314	C₈	—	2	4	no	—
315	C₈	—	4	2	no	—
316	C₂×C₃	—	2	2	no	—
317	C₂×C₃	—	8	2	no	—
318	C₂×C₃	C₅×#408	1	1	yes	characteristic
319	C₂×C₃	C₂×C₅×#102	1	1	yes	characteristic
320	C₂×C₃	C₂×C₅×#104	1	1	yes	characteristic
321	C₅	C₃×#1492	1	1	yes	characteristic, direct product factor, Sylow
322	C₂²	—	2	1	no	—
323	C₂²	—	2	1	no	—
324	C₂²	—	4	2	no	—
325	C₂²	—	4	2	no	—
326	C₂²	—	4	2	no	—
327	C₂²	C₃×C₅×#102	1	2	yes	—
328	C₂²	C₂×C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
329	C₄	—	2	1	no	—
330	C₄	—	2	1	no	—
331	C₄	—	4	2	no	—
332	C₄	C₃×C₅×#102	1	2	yes	—
333	C₄	C₃×C₅×#104	1	2	yes	—
334	C₄	C₃×C₅×#131	1	2	yes	—
335	C₄	C₂×C₃×C₅×D₈	1	1	yes	characteristic
336	C₄	C₂×C₃×C₅×SD₁₆	1	1	yes	characteristic
337	C₃	C₅×#1492	1	1	yes	characteristic, direct product factor, Sylow
338	C₂	—	2	2	no	—
339	C₂	—	8	2	no	—
340	C₂	C₃×C₅×#408	1	1	yes	characteristic
341	C₂	C₂×C₃×C₅×#102	1	1	yes	characteristic
342	C₂	C₂×C₃×C₅×#104	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄×C₅	C₂×D₄
commutator	C₂×C₄	C₂²×C₃×C₄×C₅
Frattini, cosocle	C₄²	C₂³×C₃×C₅
socle	C₂²×C₃×C₅	C₂×C₂²⋊C₄
prime radical	C₃×C₅×#532	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₃×C₄×C₅ ◁ C₂×C₃×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₃×C₅×#423	C₂	semidirect
3. C₂×C₃×C₄×C₅×C₈	C₂	semidirect
4. C₃×C₅×D₄⋊C₈	C₂	semidirect
5. C₅×#1492	C₃	direct (N × H)
21. C₃×#1492	C₅	direct (N × H)
23. C₅×#423	C₂×C₃	semidirect
24. C₂×C₄×C₅×C₈	C₂×C₃	semidirect
25. C₅×D₄⋊C₈	C₂×C₃	semidirect
50. C₃×#423	C₂×C₅	semidirect
51. C₂×C₃×C₄×C₈	C₂×C₅	semidirect
52. C₃×D₄⋊C₈	C₂×C₅	semidirect
68. #1492	C₃×C₅	direct (N × H)
130. #423	C₂×C₃×C₅	semidirect
131. C₂×C₄×C₈	C₂×C₃×C₅	semidirect
132. D₄⋊C₈	C₂×C₃×C₅	semidirect
273. C₃×C₅	#1492	direct (N × H)
321. C₅	C₃×#1492	direct (N × H)
337. C₃	C₅×#1492	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×#532	2
C₃×C₅×#423	2
C₂×C₃×C₄×C₅×C₈	2
C₃×C₅×D₄⋊C₈	2
C₅×#1492	3
C₃×#1492	5

Subgroups — C3×C5×#1492 #14274526

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#1492 #14274526