Subgroups — C₃×C₅×#1982 #14275016

Order 1920.

856 conjugacy classes of subgroups.

The subgroup lattice has 340 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×#127	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₃×C₅×#102	C₂	1	4	yes	maximal, complemented
4	C₃×C₄×C₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
5	C₅×#1982	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₂²×C₃×C₅×D₄	—	2	1	no	—
7	C₂²×C₃×C₅×D₄	—	2	1	no	—
8	C₂²×C₃×C₅×D₄	C₂²	1	2	yes	—
9	C₂²×C₃×C₅×C₈	C₂²	1	2	yes	—
10	C₃×C₅×#127	—	2	2	no	—
11	C₃×C₅×#127	C₄	1	4	yes	complemented
12	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	2	yes	—
13	C₂×C₃×C₄²×C₅	—	2	1	no	—
14	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
15	C₃×C₅×C₄⋊C₈	—	2	2	no	—
16	C₃×C₅×#102	—	2	8	no	—
17	C₃×C₅×#95	—	2	1	no	—
18	C₃×#1982	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
19	C₂×C₅×#127	C₂×C₃	1	1	yes	characteristic
20	C₂×C₅×C₄⋊C₈	C₂×C₃	1	1	yes	characteristic, complemented
21	C₂×C₅×#102	C₂×C₃	1	4	yes	complemented
22	C₄×C₅×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
23	C₂⁴×C₃×C₅	—	2	2	no	—
24	C₂×C₃×C₅×D₄	—	2	4	no	—
25	C₂×C₃×C₅×D₄	—	2	4	no	—
26	C₂×C₃×C₅×D₄	—	2	4	no	—
27	C₂×C₃×C₅×D₄	—	2	2	no	—
28	C₂×C₃×C₅×D₄	—	2	4	no	—
29	C₂×C₃×C₅×D₄	—	4	4	no	—
30	C₂×C₃×C₅×D₄	—	4	2	no	—
31	C₂×C₃×C₅×D₄	—	4	2	no	—
32	C₂×C₃×C₅×D₄	C₂×C₄	1	4	yes	—
33	C₂²×C₃×C₄×C₅	—	2	2	no	—
34	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
35	C₂²×C₃×C₄×C₅	D₄	1	1	yes	characteristic
36	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
37	C₂×C₃×C₅×C₈	—	2	4	no	—
38	C₂×C₃×C₅×C₈	—	2	2	no	—
39	C₃×C₅×C₄⋊C₄	—	2	2	no	—
40	C₃×C₅×C₄⋊C₄	D₄	1	4	yes	complemented
41	C₃×C₄²×C₅	—	4	2	no	—
42	C₃×C₄²×C₅	C₂×C₄	1	2	yes	—
43	C₃×C₄²×C₅	D₄	1	2	yes	—
44	C₂×C₃×#127	C₂×C₅	1	1	yes	characteristic
45	C₂×C₃×C₄⋊C₈	C₂×C₅	1	1	yes	characteristic, complemented
46	C₂×C₃×#102	C₂×C₅	1	4	yes	complemented
47	C₃×C₄×C₄⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
48	C₂²×C₅×D₄	—	2	1	no	—
49	C₂²×C₅×D₄	—	2	1	no	—
50	C₂²×C₅×D₄	C₂²×C₃	1	2	yes	—
51	C₂²×C₅×C₈	C₂²×C₃	1	2	yes	—
52	C₅×#127	—	2	2	no	—
53	C₅×#127	C₃×C₄	1	4	yes	complemented
54	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
55	C₂×C₄²×C₅	—	2	1	no	—
56	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
57	C₅×C₄⋊C₈	—	2	2	no	—
58	C₅×#102	—	2	8	no	—
59	C₅×#95	—	2	1	no	—
60	#1982	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
61	C₂³×C₃×C₅	—	2	4	no	—
62	C₂³×C₃×C₅	—	4	4	no	—
63	C₂³×C₃×C₅	—	4	2	no	—
64	C₂³×C₃×C₅	—	4	2	no	—
65	C₂³×C₃×C₅	—	4	4	no	—
66	C₂³×C₃×C₅	C₂×D₄	1	1	yes	characteristic
67	C₃×C₅×D₄	—	2	8	no	—
68	C₃×C₅×D₄	—	4	8	no	—
69	C₃×C₅×D₄	—	4	8	no	—
70	C₃×C₅×D₄	—	4	2	no	—
71	C₃×C₅×D₄	—	4	2	no	—
72	C₂×C₃×C₄×C₅	—	2	2	no	—
73	C₂×C₃×C₄×C₅	—	2	4	no	—
74	C₂×C₃×C₄×C₅	—	4	2	no	—
75	C₂×C₃×C₄×C₅	—	4	2	no	—
76	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
77	C₂×C₃×C₄×C₅	C₂²⋊C₄	1	2	yes	—
78	C₂×C₃×C₄×C₅	D₈	1	2	yes	—
79	C₂×C₃×C₄×C₅	SD₁₆	1	2	yes	—
80	C₂×C₃×C₄×C₅	C₂²×C₄	1	1	yes	characteristic
81	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
82	C₂×C₃×C₄×C₅	C₂×D₄	1	1	yes	characteristic
83	C₂×C₃×C₄×C₅	#41	1	2	yes	—
84	C₃×C₅×C₈	—	4	2	no	—
85	C₂²×C₃×D₄	—	2	1	no	—
86	C₂²×C₃×D₄	—	2	1	no	—
87	C₂²×C₃×D₄	C₂²×C₅	1	2	yes	—
88	C₂²×C₃×C₈	C₂²×C₅	1	2	yes	—
89	C₃×#127	—	2	2	no	—
90	C₃×#127	C₄×C₅	1	4	yes	complemented
91	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	2	yes	—
92	C₂×C₃×C₄²	—	2	1	no	—
93	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
94	C₃×C₄⋊C₈	—	2	2	no	—
95	C₃×#102	—	2	8	no	—
96	C₃×#95	—	2	1	no	—
97	C₂⁴×C₅	—	2	2	no	—
98	C₂×C₅×D₄	—	2	4	no	—
99	C₂×C₅×D₄	—	2	4	no	—
100	C₂×C₅×D₄	—	2	4	no	—
101	C₂×C₅×D₄	—	2	2	no	—
102	C₂×C₅×D₄	—	2	4	no	—
103	C₂×C₅×D₄	—	4	4	no	—
104	C₂×C₅×D₄	—	4	2	no	—
105	C₂×C₅×D₄	—	4	2	no	—
106	C₂×C₅×D₄	C₂×C₃×C₄	1	4	yes	—
107	C₂²×C₄×C₅	—	2	2	no	—
108	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
109	C₂²×C₄×C₅	C₃×D₄	1	1	yes	characteristic
110	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
111	C₂×C₅×C₈	—	2	4	no	—
112	C₂×C₅×C₈	—	2	2	no	—
113	C₅×C₄⋊C₄	—	2	2	no	—
114	C₅×C₄⋊C₄	C₃×D₄	1	4	yes	complemented
115	C₄²×C₅	—	4	2	no	—
116	C₄²×C₅	C₂×C₃×C₄	1	2	yes	—
117	C₄²×C₅	C₃×D₄	1	2	yes	—
118	C₂×#127	C₂×C₃×C₅	1	1	yes	characteristic
119	C₂×C₄⋊C₈	C₂×C₃×C₅	1	1	yes	characteristic, complemented
120	C₂×#102	C₂×C₃×C₅	1	4	yes	complemented
121	C₄×C₄⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
122	C₂²×C₃×C₅	—	4	4	no	—
123	C₂²×C₃×C₅	—	4	4	no	—
124	C₂²×C₃×C₅	—	4	4	no	—
125	C₂²×C₃×C₅	—	8	4	no	—
126	C₂²×C₃×C₅	—	8	4	no	—
127	C₂²×C₃×C₅	C₂×C₂²⋊C₄	1	1	yes	characteristic
128	C₂²×C₃×C₅	#121	1	2	yes	—
129	C₂²×C₃×C₅	C₂×D₈	1	1	yes	characteristic
130	C₂²×C₃×C₅	C₂×SD₁₆	1	1	yes	characteristic
131	C₂²×C₃×C₅	AGL(1,ℤ/8)	1	2	yes	—
132	C₃×C₄×C₅	—	2	2	no	—
133	C₃×C₄×C₅	—	4	4	no	—
134	C₃×C₄×C₅	#102	1	4	yes	complemented
135	C₃×C₄×C₅	C₄×D₄	1	2	yes	—
136	C₃×C₄×C₅	#124	1	1	yes	characteristic
137	C₃×C₄×C₅	#127	1	1	yes	characteristic
138	C₂⁴×C₃	—	2	2	no	—
139	C₂×C₃×D₄	—	2	4	no	—
140	C₂×C₃×D₄	—	2	4	no	—
141	C₂×C₃×D₄	—	2	4	no	—
142	C₂×C₃×D₄	—	2	2	no	—
143	C₂×C₃×D₄	—	2	4	no	—
144	C₂×C₃×D₄	—	4	4	no	—
145	C₂×C₃×D₄	—	4	2	no	—
146	C₂×C₃×D₄	—	4	2	no	—
147	C₂×C₃×D₄	C₂×C₄×C₅	1	4	yes	—
148	C₂²×C₃×C₄	—	2	2	no	—
149	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
150	C₂²×C₃×C₄	C₅×D₄	1	1	yes	characteristic
151	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
152	C₂×C₃×C₈	—	2	4	no	—
153	C₂×C₃×C₈	—	2	2	no	—
154	C₃×C₄⋊C₄	—	2	2	no	—
155	C₃×C₄⋊C₄	C₅×D₄	1	4	yes	complemented
156	C₃×C₄²	—	4	2	no	—
157	C₃×C₄²	C₂×C₄×C₅	1	2	yes	—
158	C₃×C₄²	C₅×D₄	1	2	yes	—
159	C₂³×C₅	—	2	4	no	—
160	C₂³×C₅	—	4	4	no	—
161	C₂³×C₅	—	4	2	no	—
162	C₂³×C₅	—	4	2	no	—
163	C₂³×C₅	—	4	4	no	—
164	C₂³×C₅	C₂×C₃×D₄	1	1	yes	characteristic
165	C₅×D₄	—	2	8	no	—
166	C₅×D₄	—	4	8	no	—
167	C₅×D₄	—	4	8	no	—
168	C₅×D₄	—	4	2	no	—
169	C₅×D₄	—	4	2	no	—
170	C₂×C₄×C₅	—	2	2	no	—
171	C₂×C₄×C₅	—	2	4	no	—
172	C₂×C₄×C₅	—	4	2	no	—
173	C₂×C₄×C₅	—	4	2	no	—
174	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	2	yes	—
175	C₂×C₄×C₅	C₃×C₂²⋊C₄	1	2	yes	—
176	C₂×C₄×C₅	C₃×D₈	1	2	yes	—
177	C₂×C₄×C₅	C₃×SD₁₆	1	2	yes	—
178	C₂×C₄×C₅	C₂²×C₃×C₄	1	1	yes	characteristic
179	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
180	C₂×C₄×C₅	C₂×C₃×D₄	1	1	yes	characteristic
181	C₂×C₄×C₅	C₃×#41	1	2	yes	—
182	C₅×C₈	—	4	2	no	—
183	C₂²×D₄	—	2	1	no	—
184	C₂²×D₄	—	2	1	no	—
185	C₂²×D₄	C₂²×C₃×C₅	1	2	yes	—
186	C₂²×C₈	C₂²×C₃×C₅	1	2	yes	—
187	#127	—	2	2	no	—
188	#127	C₃×C₄×C₅	1	4	yes	complemented
189	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	2	yes	—
190	C₂×C₄²	—	2	1	no	—
191	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
192	C₄⋊C₈	—	2	2	no	—
193	#102	—	2	8	no	—
194	#95	—	2	1	no	—
195	C₂×C₃×C₅	—	8	4	no	—
196	C₂×C₃×C₅	#390	1	1	yes	characteristic
197	C₂×C₃×C₅	C₂×#102	1	1	yes	characteristic
198	C₂×C₃×C₅	#418	1	1	yes	characteristic
199	C₂×C₃×C₅	#459	1	2	yes	—
200	C₂×C₃×C₅	#460	1	2	yes	—
201	C₂³×C₃	—	2	4	no	—
202	C₂³×C₃	—	4	4	no	—
203	C₂³×C₃	—	4	2	no	—
204	C₂³×C₃	—	4	2	no	—
205	C₂³×C₃	—	4	4	no	—
206	C₂³×C₃	C₂×C₅×D₄	1	1	yes	characteristic
207	C₃×D₄	—	2	8	no	—
208	C₃×D₄	—	4	8	no	—
209	C₃×D₄	—	4	2	no	—
210	C₃×D₄	—	4	2	no	—
211	C₃×D₄	—	4	8	no	—
212	C₂×C₃×C₄	—	2	2	no	—
213	C₂×C₃×C₄	—	2	4	no	—
214	C₂×C₃×C₄	—	4	2	no	—
215	C₂×C₃×C₄	—	4	2	no	—
216	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	2	yes	—
217	C₂×C₃×C₄	C₅×C₂²⋊C₄	1	2	yes	—
218	C₂×C₃×C₄	C₅×D₈	1	2	yes	—
219	C₂×C₃×C₄	C₅×SD₁₆	1	2	yes	—
220	C₂×C₃×C₄	C₂²×C₄×C₅	1	1	yes	characteristic
221	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
222	C₂×C₃×C₄	C₂×C₅×D₄	1	1	yes	characteristic
223	C₂×C₃×C₄	C₅×#41	1	2	yes	—
224	C₃×C₈	—	4	2	no	—
225	C₂²×C₅	—	4	4	no	—
226	C₂²×C₅	—	4	4	no	—
227	C₂²×C₅	—	4	4	no	—
228	C₂²×C₅	—	8	4	no	—
229	C₂²×C₅	—	8	4	no	—
230	C₂²×C₅	C₂×C₃×C₂²⋊C₄	1	1	yes	characteristic
231	C₂²×C₅	C₃×#121	1	2	yes	—
232	C₂²×C₅	C₂×C₃×D₈	1	1	yes	characteristic
233	C₂²×C₅	C₂×C₃×SD₁₆	1	1	yes	characteristic
234	C₂²×C₅	C₃×AGL(1,ℤ/8)	1	2	yes	—
235	C₄×C₅	—	2	2	no	—
236	C₄×C₅	—	4	4	no	—
237	C₄×C₅	C₃×#102	1	4	yes	complemented
238	C₄×C₅	C₃×C₄×D₄	1	2	yes	—
239	C₄×C₅	C₃×#124	1	1	yes	characteristic
240	C₄×C₅	C₃×#127	1	1	yes	characteristic
241	C₂⁴	—	2	2	no	—
242	C₂×D₄	—	2	4	no	—
243	C₂×D₄	—	2	4	no	—
244	C₂×D₄	—	2	4	no	—
245	C₂×D₄	—	2	2	no	—
246	C₂×D₄	—	2	4	no	—
247	C₂×D₄	—	4	4	no	—
248	C₂×D₄	—	4	2	no	—
249	C₂×D₄	—	4	2	no	—
250	C₂×D₄	C₂×C₃×C₄×C₅	1	4	yes	—
251	C₂²×C₄	—	2	2	no	—
252	C₂²×C₄	C₃×C₅×D₄	1	1	yes	characteristic
253	C₂²×C₄	C₃×C₅×D₄	1	1	yes	characteristic
254	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
255	C₂×C₈	—	2	4	no	—
256	C₂×C₈	—	2	2	no	—
257	C₄⋊C₄	—	2	2	no	—
258	C₄⋊C₄	C₃×C₅×D₄	1	4	yes	complemented
259	C₄²	—	4	2	no	—
260	C₄²	C₂×C₃×C₄×C₅	1	2	yes	—
261	C₄²	C₃×C₅×D₄	1	2	yes	—
262	C₃×C₅	#1982	1	1	yes	characteristic, direct product factor, Hall
263	C₂²×C₃	—	4	4	no	—
264	C₂²×C₃	—	4	4	no	—
265	C₂²×C₃	—	4	4	no	—
266	C₂²×C₃	—	8	4	no	—
267	C₂²×C₃	—	8	4	no	—
268	C₂²×C₃	C₂×C₅×C₂²⋊C₄	1	1	yes	characteristic
269	C₂²×C₃	C₅×#121	1	2	yes	—
270	C₂²×C₃	C₂×C₅×D₈	1	1	yes	characteristic
271	C₂²×C₃	C₂×C₅×SD₁₆	1	1	yes	characteristic
272	C₂²×C₃	C₅×AGL(1,ℤ/8)	1	2	yes	—
273	C₃×C₄	—	2	2	no	—
274	C₃×C₄	—	4	4	no	—
275	C₃×C₄	C₅×#102	1	4	yes	complemented
276	C₃×C₄	C₄×C₅×D₄	1	2	yes	—
277	C₃×C₄	C₅×#124	1	1	yes	characteristic
278	C₃×C₄	C₅×#127	1	1	yes	characteristic
279	C₂×C₅	—	8	4	no	—
280	C₂×C₅	C₃×#390	1	1	yes	characteristic
281	C₂×C₅	C₂×C₃×#102	1	1	yes	characteristic
282	C₂×C₅	C₃×#418	1	1	yes	characteristic
283	C₂×C₅	C₃×#459	1	2	yes	—
284	C₂×C₅	C₃×#460	1	2	yes	—
285	C₂³	—	2	4	no	—
286	C₂³	—	4	4	no	—
287	C₂³	—	4	2	no	—
288	C₂³	—	4	2	no	—
289	C₂³	—	4	4	no	—
290	C₂³	C₂×C₃×C₅×D₄	1	1	yes	characteristic
291	D₄	—	2	8	no	—
292	D₄	—	4	8	no	—
293	D₄	—	4	2	no	—
294	D₄	—	4	2	no	—
295	D₄	—	4	8	no	—
296	C₂×C₄	—	2	2	no	—
297	C₂×C₄	—	2	4	no	—
298	C₂×C₄	—	4	2	no	—
299	C₂×C₄	—	4	2	no	—
300	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	2	yes	—
301	C₂×C₄	C₃×C₅×C₂²⋊C₄	1	2	yes	—
302	C₂×C₄	C₃×C₅×D₈	1	2	yes	—
303	C₂×C₄	C₃×C₅×SD₁₆	1	2	yes	—
304	C₂×C₄	C₂²×C₃×C₄×C₅	1	1	yes	characteristic
305	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
306	C₂×C₄	C₂×C₃×C₅×D₄	1	1	yes	characteristic
307	C₂×C₄	C₃×C₅×#41	1	2	yes	—
308	C₈	—	4	2	no	—
309	C₂×C₃	—	8	4	no	—
310	C₂×C₃	C₅×#390	1	1	yes	characteristic
311	C₂×C₃	C₂×C₅×#102	1	1	yes	characteristic
312	C₂×C₃	C₅×#418	1	1	yes	characteristic
313	C₂×C₃	C₅×#459	1	2	yes	—
314	C₂×C₃	C₅×#460	1	2	yes	—
315	C₅	C₃×#1982	1	1	yes	characteristic, direct product factor, Sylow
316	C₂²	—	4	4	no	—
317	C₂²	—	4	4	no	—
318	C₂²	—	4	4	no	—
319	C₂²	—	8	4	no	—
320	C₂²	—	8	4	no	—
321	C₂²	C₂×C₃×C₅×C₂²⋊C₄	1	1	yes	characteristic
322	C₂²	C₃×C₅×#121	1	2	yes	—
323	C₂²	C₂×C₃×C₅×D₈	1	1	yes	characteristic
324	C₂²	C₂×C₃×C₅×SD₁₆	1	1	yes	characteristic
325	C₂²	C₃×C₅×AGL(1,ℤ/8)	1	2	yes	—
326	C₄	—	2	2	no	—
327	C₄	—	4	4	no	—
328	C₄	C₃×C₅×#102	1	4	yes	complemented
329	C₄	C₃×C₄×C₅×D₄	1	2	yes	—
330	C₄	C₃×C₅×#124	1	1	yes	characteristic
331	C₄	C₃×C₅×#127	1	1	yes	characteristic
332	C₃	C₅×#1982	1	1	yes	characteristic, direct product factor, Sylow
333	C₂	—	8	4	no	—
334	C₂	C₃×C₅×#390	1	1	yes	characteristic
335	C₂	C₂×C₃×C₅×#102	1	1	yes	characteristic
336	C₂	C₃×C₅×#418	1	1	yes	characteristic
337	C₂	C₃×C₅×#459	1	2	yes	—
338	C₂	C₃×C₅×#460	1	2	yes	—

	subgroup	G/H
center, socle	C₂³×C₃×C₅	C₂×D₄
commutator	C₂×C₄	C₂²×C₃×C₄×C₅
Frattini, cosocle	C₂²×C₄	C₂³×C₃×C₅
prime radical	C₂×C₃×C₅×#127	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³×C₃×C₅ ◁ C₂×C₃×C₄²×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
2. C₂×C₃×C₅×C₄⋊C₈	C₂	semidirect
3. C₂×C₃×C₅×#102	C₂	semidirect
4. C₃×C₄×C₅×C₄⋊C₄	C₂	semidirect
5. C₅×#1982	C₃	direct (N × H)
11. C₃×C₅×#127	C₄	semidirect
18. C₃×#1982	C₅	direct (N × H)
20. C₂×C₅×C₄⋊C₈	C₂×C₃	semidirect
21. C₂×C₅×#102	C₂×C₃	semidirect
22. C₄×C₅×C₄⋊C₄	C₂×C₃	semidirect
40. C₃×C₅×C₄⋊C₄	D₄	semidirect
45. C₂×C₃×C₄⋊C₈	C₂×C₅	semidirect
46. C₂×C₃×#102	C₂×C₅	semidirect
47. C₃×C₄×C₄⋊C₄	C₂×C₅	semidirect
53. C₅×#127	C₃×C₄	semidirect
60. #1982	C₃×C₅	direct (N × H)
90. C₃×#127	C₄×C₅	semidirect
114. C₅×C₄⋊C₄	C₃×D₄	semidirect
119. C₂×C₄⋊C₈	C₂×C₃×C₅	semidirect
120. C₂×#102	C₂×C₃×C₅	semidirect
121. C₄×C₄⋊C₄	C₂×C₃×C₅	semidirect
134. C₃×C₄×C₅	#102	semidirect
155. C₃×C₄⋊C₄	C₅×D₄	semidirect
188. #127	C₃×C₄×C₅	semidirect
237. C₄×C₅	C₃×#102	semidirect
258. C₄⋊C₄	C₃×C₅×D₄	semidirect
262. C₃×C₅	#1982	direct (N × H)
275. C₃×C₄	C₅×#102	semidirect
315. C₅	C₃×#1982	direct (N × H)
328. C₄	C₃×C₅×#102	semidirect
332. C₃	C₅×#1982	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×C₃×C₅×#127	2
C₂×C₃×C₅×C₄⋊C₈	2
C₂×C₃×C₅×#102	2
C₃×C₄×C₅×C₄⋊C₄	2
C₅×#1982	3
C₃×#1982	5

Subgroups — C3×C5×#1982 #14275016

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#1982 #14275016