Subgroups — C₃×C₅×#2713 #14275747

Order 1920.

864 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
2	C₂×C₃×C₅×#125	C₂	1	1	yes	maximal, characteristic
3	C₃×C₅×#400	C₂	1	1	yes	maximal, characteristic
4	C₃×C₅×#400	C₂	1	1	yes	maximal, characteristic
5	C₃×C₅×#398	C₂	1	1	yes	maximal, characteristic
6	C₃×C₅×#398	C₂	1	1	yes	maximal, characteristic
7	C₃×C₅×#395	C₂	1	1	yes	maximal, characteristic
8	C₃×C₅×#395	C₂	1	1	yes	maximal, characteristic
9	C₃×C₅×#391	C₂	1	1	yes	maximal, characteristic
10	C₃×C₅×#391	C₂	1	1	yes	maximal, characteristic
11	C₃×C₅×#389	C₂	1	1	yes	maximal, characteristic
12	C₃×C₅×#387	C₂	1	1	yes	maximal, characteristic
13	C₃×C₅×#387	C₂	1	1	yes	maximal, characteristic
14	C₃×C₅×#387	C₂	1	1	yes	maximal, characteristic
15	C₃×C₅×#387	C₂	1	1	yes	maximal, characteristic
16	C₅×#2713	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
17	C₂²×C₃×C₅×Q₈	C₂²	1	1	yes	characteristic
18	C₂²×C₃×C₅×Q₈	C₂²	1	1	yes	characteristic
19	C₃×C₅×C₄⋊Q₈	—	2	4	no	—
20	C₃×C₅×#125	—	2	4	no	—
21	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
22	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
23	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
24	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
25	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
26	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
27	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
28	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
29	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
31	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
32	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
36	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic
38	C₃×C₅×#95	C₂²	1	1	yes	characteristic
39	C₃×C₅×#95	C₂²	1	1	yes	characteristic
40	C₃×C₅×#95	C₂²	1	1	yes	characteristic
41	C₃×C₅×#95	C₂²	1	1	yes	characteristic
42	C₃×C₅×#95	C₂²	1	1	yes	characteristic
43	C₃×C₅×#95	C₂²	1	1	yes	characteristic
44	C₃×C₅×#95	C₂²	1	1	yes	characteristic
45	C₃×C₅×#95	C₂²	1	1	yes	characteristic
46	C₃×C₅×#95	C₂²	1	1	yes	characteristic
47	C₃×C₅×#95	C₂²	1	1	yes	characteristic
48	C₃×C₅×#95	C₂²	1	1	yes	characteristic
49	C₃×C₅×#95	C₂²	1	1	yes	characteristic
50	C₃×C₅×#95	C₂²	1	1	yes	characteristic
51	C₃×C₅×#95	C₂²	1	1	yes	characteristic
52	C₃×C₅×#95	C₂²	1	1	yes	characteristic
53	C₃×C₅×#95	C₂²	1	1	yes	characteristic
54	C₃×#2713	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
55	C₂×C₅×C₄⋊Q₈	C₂×C₃	1	1	yes	characteristic
56	C₂×C₅×#125	C₂×C₃	1	1	yes	characteristic
57	C₅×#400	C₂×C₃	1	1	yes	characteristic
58	C₅×#400	C₂×C₃	1	1	yes	characteristic
59	C₅×#398	C₂×C₃	1	1	yes	characteristic
60	C₅×#398	C₂×C₃	1	1	yes	characteristic
61	C₅×#395	C₂×C₃	1	1	yes	characteristic
62	C₅×#395	C₂×C₃	1	1	yes	characteristic
63	C₅×#391	C₂×C₃	1	1	yes	characteristic
64	C₅×#391	C₂×C₃	1	1	yes	characteristic
65	C₅×#389	C₂×C₃	1	1	yes	characteristic
66	C₅×#387	C₂×C₃	1	1	yes	characteristic
67	C₅×#387	C₂×C₃	1	1	yes	characteristic
68	C₅×#387	C₂×C₃	1	1	yes	characteristic
69	C₅×#387	C₂×C₃	1	1	yes	characteristic
70	C₂×C₃×C₅×Q₈	—	2	2	no	—
71	C₂×C₃×C₅×Q₈	—	2	2	no	—
72	C₂×C₃×C₅×Q₈	—	2	2	no	—
73	C₂×C₃×C₅×Q₈	—	2	2	no	—
74	C₂×C₃×C₅×Q₈	—	4	1	no	—
75	C₂×C₃×C₅×Q₈	—	4	1	no	—
76	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
77	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
78	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
79	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
80	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
81	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
82	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
83	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
84	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
85	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
86	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
87	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
88	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
89	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
90	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
91	C₃×C₅×C₄⋊C₄	—	2	2	no	—
92	C₃×C₅×C₄⋊C₄	—	2	2	no	—
93	C₃×C₅×C₄⋊C₄	—	2	2	no	—
94	C₃×C₅×C₄⋊C₄	—	2	2	no	—
95	C₃×C₅×C₄⋊C₄	—	2	2	no	—
96	C₃×C₅×C₄⋊C₄	—	2	2	no	—
97	C₃×C₅×C₄⋊C₄	—	2	2	no	—
98	C₃×C₅×C₄⋊C₄	—	2	2	no	—
99	C₃×C₅×C₄⋊C₄	—	2	2	no	—
100	C₃×C₅×C₄⋊C₄	—	4	1	no	—
101	C₃×C₅×C₄⋊C₄	—	4	1	no	—
102	C₃×C₅×C₄⋊C₄	—	4	1	no	—
103	C₃×C₅×C₄⋊C₄	D₄	1	4	yes	—
104	C₃×C₅×C₄⋊C₄	Q₈	1	4	yes	complemented
105	C₃×C₄²×C₅	—	2	2	no	—
106	C₃×C₄²×C₅	—	2	2	no	—
107	C₃×C₄²×C₅	—	4	1	no	—
108	C₂×C₃×C₄⋊Q₈	C₂×C₅	1	1	yes	characteristic
109	C₂×C₃×#125	C₂×C₅	1	1	yes	characteristic
110	C₃×#400	C₂×C₅	1	1	yes	characteristic
111	C₃×#400	C₂×C₅	1	1	yes	characteristic
112	C₃×#398	C₂×C₅	1	1	yes	characteristic
113	C₃×#398	C₂×C₅	1	1	yes	characteristic
114	C₃×#395	C₂×C₅	1	1	yes	characteristic
115	C₃×#395	C₂×C₅	1	1	yes	characteristic
116	C₃×#391	C₂×C₅	1	1	yes	characteristic
117	C₃×#391	C₂×C₅	1	1	yes	characteristic
118	C₃×#389	C₂×C₅	1	1	yes	characteristic
119	C₃×#387	C₂×C₅	1	1	yes	characteristic
120	C₃×#387	C₂×C₅	1	1	yes	characteristic
121	C₃×#387	C₂×C₅	1	1	yes	characteristic
122	C₃×#387	C₂×C₅	1	1	yes	characteristic
123	C₂²×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
124	C₂²×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic
125	C₅×C₄⋊Q₈	—	2	4	no	—
126	C₅×#125	—	2	4	no	—
127	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
128	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
129	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
130	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
131	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
132	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
133	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
134	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
135	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
136	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
137	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
138	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
139	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
140	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
141	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
142	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
143	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic
144	C₅×#95	C₂²×C₃	1	1	yes	characteristic
145	C₅×#95	C₂²×C₃	1	1	yes	characteristic
146	C₅×#95	C₂²×C₃	1	1	yes	characteristic
147	C₅×#95	C₂²×C₃	1	1	yes	characteristic
148	C₅×#95	C₂²×C₃	1	1	yes	characteristic
149	C₅×#95	C₂²×C₃	1	1	yes	characteristic
150	C₅×#95	C₂²×C₃	1	1	yes	characteristic
151	C₅×#95	C₂²×C₃	1	1	yes	characteristic
152	C₅×#95	C₂²×C₃	1	1	yes	characteristic
153	C₅×#95	C₂²×C₃	1	1	yes	characteristic
154	C₅×#95	C₂²×C₃	1	1	yes	characteristic
155	C₅×#95	C₂²×C₃	1	1	yes	characteristic
156	C₅×#95	C₂²×C₃	1	1	yes	characteristic
157	C₅×#95	C₂²×C₃	1	1	yes	characteristic
158	C₅×#95	C₂²×C₃	1	1	yes	characteristic
159	C₅×#95	C₂²×C₃	1	1	yes	characteristic
160	#2713	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
161	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
162	C₃×C₅×Q₈	—	4	4	no	—
163	C₃×C₅×Q₈	—	4	4	no	—
164	C₂×C₃×C₄×C₅	—	2	1	no	—
165	C₂×C₃×C₄×C₅	—	2	1	no	—
166	C₂×C₃×C₄×C₅	—	2	1	no	—
167	C₂×C₃×C₄×C₅	—	2	1	no	—
168	C₂×C₃×C₄×C₅	—	2	1	no	—
169	C₂×C₃×C₄×C₅	—	2	1	no	—
170	C₂×C₃×C₄×C₅	—	2	1	no	—
171	C₂×C₃×C₄×C₅	—	2	1	no	—
172	C₂×C₃×C₄×C₅	—	2	1	no	—
173	C₂×C₃×C₄×C₅	—	2	1	no	—
174	C₂×C₃×C₄×C₅	—	2	1	no	—
175	C₂×C₃×C₄×C₅	—	2	1	no	—
176	C₂×C₃×C₄×C₅	—	2	1	no	—
177	C₂×C₃×C₄×C₅	—	2	1	no	—
178	C₂×C₃×C₄×C₅	—	2	1	no	—
179	C₂×C₃×C₄×C₅	—	2	1	no	—
180	C₂×C₃×C₄×C₅	—	2	1	no	—
181	C₂×C₃×C₄×C₅	—	2	1	no	—
182	C₂×C₃×C₄×C₅	—	2	1	no	—
183	C₂×C₃×C₄×C₅	—	2	1	no	—
184	C₂×C₃×C₄×C₅	—	2	1	no	—
185	C₂×C₃×C₄×C₅	—	2	1	no	—
186	C₂×C₃×C₄×C₅	—	2	1	no	—
187	C₂×C₃×C₄×C₅	—	2	1	no	—
188	C₂×C₃×C₄×C₅	—	2	1	no	—
189	C₂×C₃×C₄×C₅	—	2	1	no	—
190	C₂×C₃×C₄×C₅	—	2	1	no	—
191	C₂×C₃×C₄×C₅	—	2	1	no	—
192	C₂×C₃×C₄×C₅	—	2	1	no	—
193	C₂×C₃×C₄×C₅	—	2	1	no	—
194	C₂×C₃×C₄×C₅	—	2	1	no	—
195	C₂×C₃×C₄×C₅	—	2	1	no	—
196	C₂×C₃×C₄×C₅	—	2	1	no	—
197	C₂×C₃×C₄×C₅	—	2	1	no	—
198	C₂×C₃×C₄×C₅	—	2	1	no	—
199	C₂×C₃×C₄×C₅	—	2	1	no	—
200	C₂×C₃×C₄×C₅	—	2	1	no	—
201	C₂×C₃×C₄×C₅	—	2	1	no	—
202	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
203	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
204	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
205	C₂×C₃×C₄×C₅	C₂×Q₈	1	2	yes	—
206	C₂×C₃×C₄×C₅	C₂×Q₈	1	2	yes	—
207	C₂×C₃×C₄×C₅	C₂×Q₈	1	2	yes	—
208	C₂×C₃×C₄×C₅	#41	1	2	yes	—
209	C₂²×C₃×Q₈	C₂²×C₅	1	1	yes	characteristic
210	C₂²×C₃×Q₈	C₂²×C₅	1	1	yes	characteristic
211	C₃×C₄⋊Q₈	—	2	4	no	—
212	C₃×#125	—	2	4	no	—
213	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
214	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
215	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
216	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
217	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
218	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
219	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
220	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
221	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
222	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
223	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
224	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
225	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
226	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic
227	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
228	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
229	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic
230	C₃×#95	C₂²×C₅	1	1	yes	characteristic
231	C₃×#95	C₂²×C₅	1	1	yes	characteristic
232	C₃×#95	C₂²×C₅	1	1	yes	characteristic
233	C₃×#95	C₂²×C₅	1	1	yes	characteristic
234	C₃×#95	C₂²×C₅	1	1	yes	characteristic
235	C₃×#95	C₂²×C₅	1	1	yes	characteristic
236	C₃×#95	C₂²×C₅	1	1	yes	characteristic
237	C₃×#95	C₂²×C₅	1	1	yes	characteristic
238	C₃×#95	C₂²×C₅	1	1	yes	characteristic
239	C₃×#95	C₂²×C₅	1	1	yes	characteristic
240	C₃×#95	C₂²×C₅	1	1	yes	characteristic
241	C₃×#95	C₂²×C₅	1	1	yes	characteristic
242	C₃×#95	C₂²×C₅	1	1	yes	characteristic
243	C₃×#95	C₂²×C₅	1	1	yes	characteristic
244	C₃×#95	C₂²×C₅	1	1	yes	characteristic
245	C₃×#95	C₂²×C₅	1	1	yes	characteristic
246	C₂×C₅×Q₈	—	2	2	no	—
247	C₂×C₅×Q₈	—	2	2	no	—
248	C₂×C₅×Q₈	—	2	2	no	—
249	C₂×C₅×Q₈	—	2	2	no	—
250	C₂×C₅×Q₈	—	4	1	no	—
251	C₂×C₅×Q₈	—	4	1	no	—
252	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
253	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
254	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
255	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
256	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
257	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
258	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
259	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
260	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
261	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
262	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
263	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
264	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
265	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
266	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
267	C₅×C₄⋊C₄	—	2	2	no	—
268	C₅×C₄⋊C₄	—	2	2	no	—
269	C₅×C₄⋊C₄	—	2	2	no	—
270	C₅×C₄⋊C₄	—	2	2	no	—
271	C₅×C₄⋊C₄	—	2	2	no	—
272	C₅×C₄⋊C₄	—	2	2	no	—
273	C₅×C₄⋊C₄	—	2	2	no	—
274	C₅×C₄⋊C₄	—	2	2	no	—
275	C₅×C₄⋊C₄	—	2	2	no	—
276	C₅×C₄⋊C₄	—	4	1	no	—
277	C₅×C₄⋊C₄	—	4	1	no	—
278	C₅×C₄⋊C₄	—	4	1	no	—
279	C₅×C₄⋊C₄	C₃×D₄	1	4	yes	—
280	C₅×C₄⋊C₄	C₃×Q₈	1	4	yes	complemented
281	C₄²×C₅	—	2	2	no	—
282	C₄²×C₅	—	2	2	no	—
283	C₄²×C₅	—	4	1	no	—
284	C₂×C₄⋊Q₈	C₂×C₃×C₅	1	1	yes	characteristic
285	C₂×#125	C₂×C₃×C₅	1	1	yes	characteristic
286	#400	C₂×C₃×C₅	1	1	yes	characteristic
287	#400	C₂×C₃×C₅	1	1	yes	characteristic
288	#398	C₂×C₃×C₅	1	1	yes	characteristic
289	#398	C₂×C₃×C₅	1	1	yes	characteristic
290	#395	C₂×C₃×C₅	1	1	yes	characteristic
291	#395	C₂×C₃×C₅	1	1	yes	characteristic
292	#391	C₂×C₃×C₅	1	1	yes	characteristic
293	#391	C₂×C₃×C₅	1	1	yes	characteristic
294	#389	C₂×C₃×C₅	1	1	yes	characteristic
295	#387	C₂×C₃×C₅	1	1	yes	characteristic
296	#387	C₂×C₃×C₅	1	1	yes	characteristic
297	#387	C₂×C₃×C₅	1	1	yes	characteristic
298	#387	C₂×C₃×C₅	1	1	yes	characteristic
299	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
300	C₂²×C₃×C₅	C₂²×Q₈	1	1	yes	characteristic
301	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
302	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
303	C₂²×C₃×C₅	2₋¹⁺⁴	1	1	yes	characteristic
304	C₂²×C₃×C₅	2₋¹⁺⁴	1	1	yes	characteristic
305	C₂²×C₃×C₅	2₋¹⁺⁴	1	1	yes	characteristic
306	C₃×C₄×C₅	—	2	2	no	—
307	C₃×C₄×C₅	—	2	2	no	—
308	C₃×C₄×C₅	—	2	2	no	—
309	C₃×C₄×C₅	—	2	2	no	—
310	C₃×C₄×C₅	—	2	2	no	—
311	C₃×C₄×C₅	—	2	2	no	—
312	C₃×C₄×C₅	—	2	2	no	—
313	C₃×C₄×C₅	—	4	1	no	—
314	C₃×C₄×C₅	—	4	1	no	—
315	C₃×C₄×C₅	—	4	1	no	—
316	C₃×C₄×C₅	—	4	1	no	—
317	C₃×C₄×C₅	—	4	1	no	—
318	C₃×C₄×C₅	—	4	1	no	—
319	C₃×C₄×C₅	—	4	1	no	—
320	C₃×C₄×C₅	—	4	1	no	—
321	C₂×C₃×Q₈	—	2	2	no	—
322	C₂×C₃×Q₈	—	2	2	no	—
323	C₂×C₃×Q₈	—	2	2	no	—
324	C₂×C₃×Q₈	—	2	2	no	—
325	C₂×C₃×Q₈	—	4	1	no	—
326	C₂×C₃×Q₈	—	4	1	no	—
327	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
328	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
329	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
330	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
331	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
332	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
333	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
334	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
335	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
336	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
337	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
338	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
339	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
340	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
341	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
342	C₃×C₄⋊C₄	—	2	2	no	—
343	C₃×C₄⋊C₄	—	2	2	no	—
344	C₃×C₄⋊C₄	—	2	2	no	—
345	C₃×C₄⋊C₄	—	2	2	no	—
346	C₃×C₄⋊C₄	—	2	2	no	—
347	C₃×C₄⋊C₄	—	2	2	no	—
348	C₃×C₄⋊C₄	—	2	2	no	—
349	C₃×C₄⋊C₄	—	2	2	no	—
350	C₃×C₄⋊C₄	—	2	2	no	—
351	C₃×C₄⋊C₄	—	4	1	no	—
352	C₃×C₄⋊C₄	—	4	1	no	—
353	C₃×C₄⋊C₄	—	4	1	no	—
354	C₃×C₄⋊C₄	C₅×D₄	1	4	yes	—
355	C₃×C₄⋊C₄	C₅×Q₈	1	4	yes	complemented
356	C₃×C₄²	—	2	2	no	—
357	C₃×C₄²	—	2	2	no	—
358	C₃×C₄²	—	4	1	no	—
359	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
360	C₅×Q₈	—	4	4	no	—
361	C₅×Q₈	—	4	4	no	—
362	C₂×C₄×C₅	—	2	1	no	—
363	C₂×C₄×C₅	—	2	1	no	—
364	C₂×C₄×C₅	—	2	1	no	—
365	C₂×C₄×C₅	—	2	1	no	—
366	C₂×C₄×C₅	—	2	1	no	—
367	C₂×C₄×C₅	—	2	1	no	—
368	C₂×C₄×C₅	—	2	1	no	—
369	C₂×C₄×C₅	—	2	1	no	—
370	C₂×C₄×C₅	—	2	1	no	—
371	C₂×C₄×C₅	—	2	1	no	—
372	C₂×C₄×C₅	—	2	1	no	—
373	C₂×C₄×C₅	—	2	1	no	—
374	C₂×C₄×C₅	—	2	1	no	—
375	C₂×C₄×C₅	—	2	1	no	—
376	C₂×C₄×C₅	—	2	1	no	—
377	C₂×C₄×C₅	—	2	1	no	—
378	C₂×C₄×C₅	—	2	1	no	—
379	C₂×C₄×C₅	—	2	1	no	—
380	C₂×C₄×C₅	—	2	1	no	—
381	C₂×C₄×C₅	—	2	1	no	—
382	C₂×C₄×C₅	—	2	1	no	—
383	C₂×C₄×C₅	—	2	1	no	—
384	C₂×C₄×C₅	—	2	1	no	—
385	C₂×C₄×C₅	—	2	1	no	—
386	C₂×C₄×C₅	—	2	1	no	—
387	C₂×C₄×C₅	—	2	1	no	—
388	C₂×C₄×C₅	—	2	1	no	—
389	C₂×C₄×C₅	—	2	1	no	—
390	C₂×C₄×C₅	—	2	1	no	—
391	C₂×C₄×C₅	—	2	1	no	—
392	C₂×C₄×C₅	—	2	1	no	—
393	C₂×C₄×C₅	—	2	1	no	—
394	C₂×C₄×C₅	—	2	1	no	—
395	C₂×C₄×C₅	—	2	1	no	—
396	C₂×C₄×C₅	—	2	1	no	—
397	C₂×C₄×C₅	—	2	1	no	—
398	C₂×C₄×C₅	—	2	1	no	—
399	C₂×C₄×C₅	—	2	1	no	—
400	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
401	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
402	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
403	C₂×C₄×C₅	C₂×C₃×Q₈	1	2	yes	—
404	C₂×C₄×C₅	C₂×C₃×Q₈	1	2	yes	—
405	C₂×C₄×C₅	C₂×C₃×Q₈	1	2	yes	—
406	C₂×C₄×C₅	C₃×#41	1	2	yes	—
407	C₂²×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
408	C₂²×Q₈	C₂²×C₃×C₅	1	1	yes	characteristic
409	C₄⋊Q₈	—	2	4	no	—
410	#125	—	2	4	no	—
411	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
412	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
413	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
414	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
415	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
416	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
417	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
418	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
419	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
420	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
421	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
422	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
423	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
424	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
425	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
426	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
427	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic
428	#95	C₂²×C₃×C₅	1	1	yes	characteristic
429	#95	C₂²×C₃×C₅	1	1	yes	characteristic
430	#95	C₂²×C₃×C₅	1	1	yes	characteristic
431	#95	C₂²×C₃×C₅	1	1	yes	characteristic
432	#95	C₂²×C₃×C₅	1	1	yes	characteristic
433	#95	C₂²×C₃×C₅	1	1	yes	characteristic
434	#95	C₂²×C₃×C₅	1	1	yes	characteristic
435	#95	C₂²×C₃×C₅	1	1	yes	characteristic
436	#95	C₂²×C₃×C₅	1	1	yes	characteristic
437	#95	C₂²×C₃×C₅	1	1	yes	characteristic
438	#95	C₂²×C₃×C₅	1	1	yes	characteristic
439	#95	C₂²×C₃×C₅	1	1	yes	characteristic
440	#95	C₂²×C₃×C₅	1	1	yes	characteristic
441	#95	C₂²×C₃×C₅	1	1	yes	characteristic
442	#95	C₂²×C₃×C₅	1	1	yes	characteristic
443	#95	C₂²×C₃×C₅	1	1	yes	characteristic
444	C₂×C₃×C₅	#536	1	1	yes	characteristic
445	C₂×C₃×C₅	#541	1	1	yes	characteristic
446	C₂×C₃×C₅	#544	1	1	yes	characteristic
447	C₂×C₃×C₅	#546	1	1	yes	characteristic
448	C₂×C₃×C₅	D₄×Q₈	1	1	yes	characteristic
449	C₂×C₃×C₅	#557	1	1	yes	characteristic
450	C₂×C₃×C₅	#563	1	1	yes	characteristic
451	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
452	C₃×Q₈	—	4	4	no	—
453	C₃×Q₈	—	4	4	no	—
454	C₂×C₃×C₄	—	2	1	no	—
455	C₂×C₃×C₄	—	2	1	no	—
456	C₂×C₃×C₄	—	2	1	no	—
457	C₂×C₃×C₄	—	2	1	no	—
458	C₂×C₃×C₄	—	2	1	no	—
459	C₂×C₃×C₄	—	2	1	no	—
460	C₂×C₃×C₄	—	2	1	no	—
461	C₂×C₃×C₄	—	2	1	no	—
462	C₂×C₃×C₄	—	2	1	no	—
463	C₂×C₃×C₄	—	2	1	no	—
464	C₂×C₃×C₄	—	2	1	no	—
465	C₂×C₃×C₄	—	2	1	no	—
466	C₂×C₃×C₄	—	2	1	no	—
467	C₂×C₃×C₄	—	2	1	no	—
468	C₂×C₃×C₄	—	2	1	no	—
469	C₂×C₃×C₄	—	2	1	no	—
470	C₂×C₃×C₄	—	2	1	no	—
471	C₂×C₃×C₄	—	2	1	no	—
472	C₂×C₃×C₄	—	2	1	no	—
473	C₂×C₃×C₄	—	2	1	no	—
474	C₂×C₃×C₄	—	2	1	no	—
475	C₂×C₃×C₄	—	2	1	no	—
476	C₂×C₃×C₄	—	2	1	no	—
477	C₂×C₃×C₄	—	2	1	no	—
478	C₂×C₃×C₄	—	2	1	no	—
479	C₂×C₃×C₄	—	2	1	no	—
480	C₂×C₃×C₄	—	2	1	no	—
481	C₂×C₃×C₄	—	2	1	no	—
482	C₂×C₃×C₄	—	2	1	no	—
483	C₂×C₃×C₄	—	2	1	no	—
484	C₂×C₃×C₄	—	2	1	no	—
485	C₂×C₃×C₄	—	2	1	no	—
486	C₂×C₃×C₄	—	2	1	no	—
487	C₂×C₃×C₄	—	2	1	no	—
488	C₂×C₃×C₄	—	2	1	no	—
489	C₂×C₃×C₄	—	2	1	no	—
490	C₂×C₃×C₄	—	2	1	no	—
491	C₂×C₃×C₄	—	2	1	no	—
492	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
493	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
494	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
495	C₂×C₃×C₄	C₂×C₅×Q₈	1	2	yes	—
496	C₂×C₃×C₄	C₂×C₅×Q₈	1	2	yes	—
497	C₂×C₃×C₄	C₂×C₅×Q₈	1	2	yes	—
498	C₂×C₃×C₄	C₅×#41	1	2	yes	—
499	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
500	C₂²×C₅	C₂²×C₃×Q₈	1	1	yes	characteristic
501	C₂²×C₅	C₂×C₃×#41	1	1	yes	characteristic
502	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
503	C₂²×C₅	C₃×2₋¹⁺⁴	1	1	yes	characteristic
504	C₂²×C₅	C₃×2₋¹⁺⁴	1	1	yes	characteristic
505	C₂²×C₅	C₃×2₋¹⁺⁴	1	1	yes	characteristic
506	C₄×C₅	—	2	2	no	—
507	C₄×C₅	—	2	2	no	—
508	C₄×C₅	—	2	2	no	—
509	C₄×C₅	—	2	2	no	—
510	C₄×C₅	—	2	2	no	—
511	C₄×C₅	—	2	2	no	—
512	C₄×C₅	—	2	2	no	—
513	C₄×C₅	—	4	1	no	—
514	C₄×C₅	—	4	1	no	—
515	C₄×C₅	—	4	1	no	—
516	C₄×C₅	—	4	1	no	—
517	C₄×C₅	—	4	1	no	—
518	C₄×C₅	—	4	1	no	—
519	C₄×C₅	—	4	1	no	—
520	C₄×C₅	—	4	1	no	—
521	C₂×Q₈	—	2	2	no	—
522	C₂×Q₈	—	2	2	no	—
523	C₂×Q₈	—	2	2	no	—
524	C₂×Q₈	—	2	2	no	—
525	C₂×Q₈	—	4	1	no	—
526	C₂×Q₈	—	4	1	no	—
527	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
528	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
529	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
530	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
531	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
532	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
533	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
534	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
535	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
536	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
537	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
538	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
539	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
540	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
541	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
542	C₄⋊C₄	—	2	2	no	—
543	C₄⋊C₄	—	2	2	no	—
544	C₄⋊C₄	—	2	2	no	—
545	C₄⋊C₄	—	2	2	no	—
546	C₄⋊C₄	—	2	2	no	—
547	C₄⋊C₄	—	2	2	no	—
548	C₄⋊C₄	—	2	2	no	—
549	C₄⋊C₄	—	2	2	no	—
550	C₄⋊C₄	—	2	2	no	—
551	C₄⋊C₄	—	4	1	no	—
552	C₄⋊C₄	—	4	1	no	—
553	C₄⋊C₄	—	4	1	no	—
554	C₄⋊C₄	C₃×C₅×D₄	1	4	yes	—
555	C₄⋊C₄	C₃×C₅×Q₈	1	4	yes	complemented
556	C₄²	—	2	2	no	—
557	C₄²	—	2	2	no	—
558	C₄²	—	4	1	no	—
559	C₃×C₅	#2713	1	1	yes	characteristic, direct product factor, Hall
560	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
561	C₂²×C₃	C₂²×C₅×Q₈	1	1	yes	characteristic
562	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
563	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
564	C₂²×C₃	C₅×2₋¹⁺⁴	1	1	yes	characteristic
565	C₂²×C₃	C₅×2₋¹⁺⁴	1	1	yes	characteristic
566	C₂²×C₃	C₅×2₋¹⁺⁴	1	1	yes	characteristic
567	C₃×C₄	—	2	2	no	—
568	C₃×C₄	—	2	2	no	—
569	C₃×C₄	—	2	2	no	—
570	C₃×C₄	—	2	2	no	—
571	C₃×C₄	—	2	2	no	—
572	C₃×C₄	—	2	2	no	—
573	C₃×C₄	—	2	2	no	—
574	C₃×C₄	—	4	1	no	—
575	C₃×C₄	—	4	1	no	—
576	C₃×C₄	—	4	1	no	—
577	C₃×C₄	—	4	1	no	—
578	C₃×C₄	—	4	1	no	—
579	C₃×C₄	—	4	1	no	—
580	C₃×C₄	—	4	1	no	—
581	C₃×C₄	—	4	1	no	—
582	C₂×C₅	C₃×#536	1	1	yes	characteristic
583	C₂×C₅	C₃×#541	1	1	yes	characteristic
584	C₂×C₅	C₃×#544	1	1	yes	characteristic
585	C₂×C₅	C₃×#546	1	1	yes	characteristic
586	C₂×C₅	C₃×D₄×Q₈	1	1	yes	characteristic
587	C₂×C₅	C₃×#557	1	1	yes	characteristic
588	C₂×C₅	C₃×#563	1	1	yes	characteristic
589	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
590	Q₈	—	4	4	no	—
591	Q₈	—	4	4	no	—
592	C₂×C₄	—	2	1	no	—
593	C₂×C₄	—	2	1	no	—
594	C₂×C₄	—	2	1	no	—
595	C₂×C₄	—	2	1	no	—
596	C₂×C₄	—	2	1	no	—
597	C₂×C₄	—	2	1	no	—
598	C₂×C₄	—	2	1	no	—
599	C₂×C₄	—	2	1	no	—
600	C₂×C₄	—	2	1	no	—
601	C₂×C₄	—	2	1	no	—
602	C₂×C₄	—	2	1	no	—
603	C₂×C₄	—	2	1	no	—
604	C₂×C₄	—	2	1	no	—
605	C₂×C₄	—	2	1	no	—
606	C₂×C₄	—	2	1	no	—
607	C₂×C₄	—	2	1	no	—
608	C₂×C₄	—	2	1	no	—
609	C₂×C₄	—	2	1	no	—
610	C₂×C₄	—	2	1	no	—
611	C₂×C₄	—	2	1	no	—
612	C₂×C₄	—	2	1	no	—
613	C₂×C₄	—	2	1	no	—
614	C₂×C₄	—	2	1	no	—
615	C₂×C₄	—	2	1	no	—
616	C₂×C₄	—	2	1	no	—
617	C₂×C₄	—	2	1	no	—
618	C₂×C₄	—	2	1	no	—
619	C₂×C₄	—	2	1	no	—
620	C₂×C₄	—	2	1	no	—
621	C₂×C₄	—	2	1	no	—
622	C₂×C₄	—	2	1	no	—
623	C₂×C₄	—	2	1	no	—
624	C₂×C₄	—	2	1	no	—
625	C₂×C₄	—	2	1	no	—
626	C₂×C₄	—	2	1	no	—
627	C₂×C₄	—	2	1	no	—
628	C₂×C₄	—	2	1	no	—
629	C₂×C₄	—	2	1	no	—
630	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
631	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
632	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
633	C₂×C₄	C₂×C₃×C₅×Q₈	1	2	yes	—
634	C₂×C₄	C₂×C₃×C₅×Q₈	1	2	yes	—
635	C₂×C₄	C₂×C₃×C₅×Q₈	1	2	yes	—
636	C₂×C₄	C₃×C₅×#41	1	2	yes	—
637	C₂×C₃	C₅×#536	1	1	yes	characteristic
638	C₂×C₃	C₅×#541	1	1	yes	characteristic
639	C₂×C₃	C₅×#544	1	1	yes	characteristic
640	C₂×C₃	C₅×#546	1	1	yes	characteristic
641	C₂×C₃	C₅×D₄×Q₈	1	1	yes	characteristic
642	C₂×C₃	C₅×#557	1	1	yes	characteristic
643	C₂×C₃	C₅×#563	1	1	yes	characteristic
644	C₅	C₃×#2713	1	1	yes	characteristic, direct product factor, Sylow
645	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
646	C₂²	C₂²×C₃×C₅×Q₈	1	1	yes	characteristic
647	C₂²	C₂×C₃×C₅×#41	1	1	yes	characteristic
648	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
649	C₂²	C₃×C₅×2₋¹⁺⁴	1	1	yes	characteristic
650	C₂²	C₃×C₅×2₋¹⁺⁴	1	1	yes	characteristic
651	C₂²	C₃×C₅×2₋¹⁺⁴	1	1	yes	characteristic
652	C₄	—	2	2	no	—
653	C₄	—	2	2	no	—
654	C₄	—	2	2	no	—
655	C₄	—	2	2	no	—
656	C₄	—	2	2	no	—
657	C₄	—	2	2	no	—
658	C₄	—	2	2	no	—
659	C₄	—	4	1	no	—
660	C₄	—	4	1	no	—
661	C₄	—	4	1	no	—
662	C₄	—	4	1	no	—
663	C₄	—	4	1	no	—
664	C₄	—	4	1	no	—
665	C₄	—	4	1	no	—
666	C₄	—	4	1	no	—
667	C₃	C₅×#2713	1	1	yes	characteristic, direct product factor, Sylow
668	C₂	C₃×C₅×#536	1	1	yes	characteristic
669	C₂	C₃×C₅×#541	1	1	yes	characteristic
670	C₂	C₃×C₅×#544	1	1	yes	characteristic
671	C₂	C₃×C₅×#546	1	1	yes	characteristic
672	C₂	C₃×C₅×D₄×Q₈	1	1	yes	characteristic
673	C₂	C₃×C₅×#557	1	1	yes	characteristic
674	C₂	C₃×C₅×#563	1	1	yes	characteristic

	subgroup	G/H
center, socle, prime radical	C₂³×C₃×C₅	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁴×C₃×C₅
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂³×C₃×C₅ ◁ G

Complements

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

N	H ≅ G/N	type
16. C₅×#2713	C₃	direct (N × H)
54. C₃×#2713	C₅	direct (N × H)
104. C₃×C₅×C₄⋊C₄	Q₈	semidirect
160. #2713	C₃×C₅	direct (N × H)
280. C₅×C₄⋊C₄	C₃×Q₈	semidirect
355. C₃×C₄⋊C₄	C₅×Q₈	semidirect
555. C₄⋊C₄	C₃×C₅×Q₈	semidirect
559. C₃×C₅	#2713	direct (N × H)
644. C₅	C₃×#2713	direct (N × H)
667. C₃	C₅×#2713	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×C₄⋊Q₈	2
C₂×C₃×C₅×#125	2
C₃×C₅×#400	2
C₃×C₅×#398	2
C₃×C₅×#395	2
C₃×C₅×#391	2
C₃×C₅×#389	2
C₃×C₅×#387	2
C₅×#2713	3
C₃×#2713	5

Subgroups — C3×C5×#2713 #14275747

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#2713 #14275747