Subgroups — C₃×C₅×#2685 #14275719

Order 1920.

1332 conjugacy classes of subgroups.

The subgroup lattice has 968 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×#126	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×C₅×#120	C₂	1	1	yes	maximal, characteristic
3	C₃×C₅×#399	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×C₅×#396	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#394	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×#394	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×C₅×#394	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×C₅×#394	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×C₅×#390	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×C₅×#390	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×C₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×C₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×C₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₅×#379	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₅×#379	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2685	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
17	C₂⁵×C₃×C₅	C₂²	1	1	yes	characteristic
18	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
19	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
20	C₂²×C₃×C₅×D₄	C₂²	1	1	yes	characteristic
21	C₃×C₅×#126	—	2	4	no	—
22	C₃×C₅×#120	—	2	4	no	—
23	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
24	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
25	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
26	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
27	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
28	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
29	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
30	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
31	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
32	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
38	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
45	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
47	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
48	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
49	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₅×#95	C₂²	1	1	yes	characteristic, complemented
51	C₃×C₅×#95	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₅×#95	C₂²	1	1	yes	characteristic, complemented
53	C₃×C₅×#95	C₂²	1	1	yes	characteristic, complemented
54	C₃×#2685	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
55	C₂×C₅×#126	C₂×C₃	1	1	yes	characteristic, complemented
56	C₂×C₅×#120	C₂×C₃	1	1	yes	characteristic
57	C₅×#399	C₂×C₃	1	1	yes	characteristic, complemented
58	C₅×#396	C₂×C₃	1	1	yes	characteristic, complemented
59	C₅×#394	C₂×C₃	1	1	yes	characteristic, complemented
60	C₅×#394	C₂×C₃	1	1	yes	characteristic, complemented
61	C₅×#394	C₂×C₃	1	1	yes	characteristic, complemented
62	C₅×#394	C₂×C₃	1	1	yes	characteristic, complemented
63	C₅×#390	C₂×C₃	1	1	yes	characteristic, complemented
64	C₅×#390	C₂×C₃	1	1	yes	characteristic, complemented
65	C₅×#388	C₂×C₃	1	1	yes	characteristic, complemented
66	C₅×#388	C₂×C₃	1	1	yes	characteristic, complemented
67	C₅×#388	C₂×C₃	1	1	yes	characteristic, complemented
68	C₅×#379	C₂×C₃	1	1	yes	characteristic, complemented
69	C₅×#379	C₂×C₃	1	1	yes	characteristic, complemented
70	C₂⁴×C₃×C₅	—	2	2	no	—
71	C₂⁴×C₃×C₅	—	2	2	no	—
72	C₂⁴×C₃×C₅	—	2	2	no	—
73	C₂⁴×C₃×C₅	—	4	1	no	—
74	C₂⁴×C₃×C₅	—	4	1	no	—
75	C₂⁴×C₃×C₅	—	4	1	no	—
76	C₂⁴×C₃×C₅	—	4	1	no	—
77	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
78	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
79	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
80	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
81	C₂×C₃×C₅×D₄	—	2	2	no	—
82	C₂×C₃×C₅×D₄	—	2	2	no	—
83	C₂×C₃×C₅×D₄	—	2	2	no	—
84	C₂×C₃×C₅×D₄	—	2	2	no	—
85	C₂×C₃×C₅×D₄	—	2	2	no	—
86	C₂×C₃×C₅×D₄	—	4	1	no	—
87	C₂×C₃×C₅×D₄	—	4	1	no	—
88	C₂×C₃×C₅×D₄	—	4	1	no	—
89	C₂×C₃×C₅×D₄	—	4	1	no	—
90	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
91	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
92	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
93	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
94	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
95	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
96	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
97	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
98	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
99	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
100	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
101	C₃×C₅×C₄⋊C₄	—	2	2	no	—
102	C₃×C₅×C₄⋊C₄	—	2	2	no	—
103	C₃×C₅×C₄⋊C₄	—	2	2	no	—
104	C₃×C₅×C₄⋊C₄	—	4	1	no	—
105	C₃×C₅×C₄⋊C₄	—	4	1	no	—
106	C₃×C₅×C₄⋊C₄	—	4	1	no	—
107	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
108	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
109	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
110	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
111	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
112	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
113	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
114	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
115	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
116	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
117	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
118	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
119	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
120	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
121	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
122	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
123	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
124	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
125	C₃×C₅×C₂²⋊C₄	D₄	1	4	yes	—
126	C₃×C₄²×C₅	—	2	2	no	—
127	C₃×C₄²×C₅	—	4	1	no	—
128	C₂×C₃×#126	C₂×C₅	1	1	yes	characteristic, complemented
129	C₂×C₃×#120	C₂×C₅	1	1	yes	characteristic
130	C₃×#399	C₂×C₅	1	1	yes	characteristic, complemented
131	C₃×#396	C₂×C₅	1	1	yes	characteristic, complemented
132	C₃×#394	C₂×C₅	1	1	yes	characteristic, complemented
133	C₃×#394	C₂×C₅	1	1	yes	characteristic, complemented
134	C₃×#394	C₂×C₅	1	1	yes	characteristic, complemented
135	C₃×#394	C₂×C₅	1	1	yes	characteristic, complemented
136	C₃×#390	C₂×C₅	1	1	yes	characteristic, complemented
137	C₃×#390	C₂×C₅	1	1	yes	characteristic, complemented
138	C₃×#388	C₂×C₅	1	1	yes	characteristic, complemented
139	C₃×#388	C₂×C₅	1	1	yes	characteristic, complemented
140	C₃×#388	C₂×C₅	1	1	yes	characteristic, complemented
141	C₃×#379	C₂×C₅	1	1	yes	characteristic, complemented
142	C₃×#379	C₂×C₅	1	1	yes	characteristic, complemented
143	C₂⁵×C₅	C₂²×C₃	1	1	yes	characteristic
144	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
145	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
146	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
147	C₅×#126	—	2	4	no	—
148	C₅×#120	—	2	4	no	—
149	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
150	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
151	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
152	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
153	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
154	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
155	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
156	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
157	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
158	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
159	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
160	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
161	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
162	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
163	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
164	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
165	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
166	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
167	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
168	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
169	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
170	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
171	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
172	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
173	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
174	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
175	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
176	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
177	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
178	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
179	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
180	#2685	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
181	C₂³×C₃×C₅	—	2	1	no	—
182	C₂³×C₃×C₅	—	2	1	no	—
183	C₂³×C₃×C₅	—	2	1	no	—
184	C₂³×C₃×C₅	—	2	1	no	—
185	C₂³×C₃×C₅	—	2	1	no	—
186	C₂³×C₃×C₅	—	2	1	no	—
187	C₂³×C₃×C₅	—	2	1	no	—
188	C₂³×C₃×C₅	—	2	1	no	—
189	C₂³×C₃×C₅	—	2	1	no	—
190	C₂³×C₃×C₅	—	2	1	no	—
191	C₂³×C₃×C₅	—	2	1	no	—
192	C₂³×C₃×C₅	—	2	1	no	—
193	C₂³×C₃×C₅	—	2	1	no	—
194	C₂³×C₃×C₅	—	2	1	no	—
195	C₂³×C₃×C₅	—	2	1	no	—
196	C₂³×C₃×C₅	—	2	1	no	—
197	C₂³×C₃×C₅	—	2	1	no	—
198	C₂³×C₃×C₅	—	2	1	no	—
199	C₂³×C₃×C₅	—	2	1	no	—
200	C₂³×C₃×C₅	—	2	1	no	—
201	C₂³×C₃×C₅	—	2	1	no	—
202	C₂³×C₃×C₅	—	2	1	no	—
203	C₂³×C₃×C₅	—	2	1	no	—
204	C₂³×C₃×C₅	—	2	1	no	—
205	C₂³×C₃×C₅	—	2	1	no	—
206	C₂³×C₃×C₅	—	4	4	no	—
207	C₂³×C₃×C₅	—	4	4	no	—
208	C₂³×C₃×C₅	—	4	4	no	—
209	C₂³×C₃×C₅	—	4	4	no	—
210	C₂³×C₃×C₅	—	4	4	no	—
211	C₂³×C₃×C₅	—	4	4	no	—
212	C₂³×C₃×C₅	—	4	4	no	—
213	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
214	C₂³×C₃×C₅	#41	1	2	yes	—
215	C₂³×C₃×C₅	#41	1	2	yes	—
216	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
217	C₃×C₅×D₄	—	4	4	no	—
218	C₃×C₅×D₄	—	4	4	no	—
219	C₃×C₅×D₄	—	4	4	no	—
220	C₂×C₃×C₄×C₅	—	2	1	no	—
221	C₂×C₃×C₄×C₅	—	2	1	no	—
222	C₂×C₃×C₄×C₅	—	2	1	no	—
223	C₂×C₃×C₄×C₅	—	2	1	no	—
224	C₂×C₃×C₄×C₅	—	2	1	no	—
225	C₂×C₃×C₄×C₅	—	2	1	no	—
226	C₂×C₃×C₄×C₅	—	2	1	no	—
227	C₂×C₃×C₄×C₅	—	2	1	no	—
228	C₂×C₃×C₄×C₅	—	2	1	no	—
229	C₂×C₃×C₄×C₅	—	2	1	no	—
230	C₂×C₃×C₄×C₅	—	2	1	no	—
231	C₂×C₃×C₄×C₅	—	2	1	no	—
232	C₂×C₃×C₄×C₅	—	2	1	no	—
233	C₂×C₃×C₄×C₅	—	2	1	no	—
234	C₂×C₃×C₄×C₅	—	2	1	no	—
235	C₂×C₃×C₄×C₅	—	2	1	no	—
236	C₂×C₃×C₄×C₅	—	2	1	no	—
237	C₂×C₃×C₄×C₅	—	2	1	no	—
238	C₂×C₃×C₄×C₅	—	2	1	no	—
239	C₂×C₃×C₄×C₅	—	2	1	no	—
240	C₂×C₃×C₄×C₅	—	2	1	no	—
241	C₂×C₃×C₄×C₅	—	2	1	no	—
242	C₂×C₃×C₄×C₅	—	2	1	no	—
243	C₂×C₃×C₄×C₅	—	2	1	no	—
244	C₂×C₃×C₄×C₅	—	2	1	no	—
245	C₂×C₃×C₄×C₅	—	2	1	no	—
246	C₂×C₃×C₄×C₅	—	2	1	no	—
247	C₂×C₃×C₄×C₅	—	2	1	no	—
248	C₂×C₃×C₄×C₅	—	2	1	no	—
249	C₂×C₃×C₄×C₅	—	2	1	no	—
250	C₂×C₃×C₄×C₅	—	2	1	no	—
251	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
252	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
253	C₂⁵×C₃	C₂²×C₅	1	1	yes	characteristic
254	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
255	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
256	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
257	C₃×#126	—	2	4	no	—
258	C₃×#120	—	2	4	no	—
259	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
260	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
261	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
262	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
263	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
264	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
265	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
266	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
267	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
268	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
269	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
270	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
271	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
272	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
273	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
274	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
275	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
276	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
277	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
278	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
279	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
280	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
281	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
282	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
283	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
284	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
285	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
286	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
287	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
288	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
289	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
290	C₂⁴×C₅	—	2	2	no	—
291	C₂⁴×C₅	—	2	2	no	—
292	C₂⁴×C₅	—	2	2	no	—
293	C₂⁴×C₅	—	4	1	no	—
294	C₂⁴×C₅	—	4	1	no	—
295	C₂⁴×C₅	—	4	1	no	—
296	C₂⁴×C₅	—	4	1	no	—
297	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
298	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
299	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
300	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
301	C₂×C₅×D₄	—	2	2	no	—
302	C₂×C₅×D₄	—	2	2	no	—
303	C₂×C₅×D₄	—	2	2	no	—
304	C₂×C₅×D₄	—	2	2	no	—
305	C₂×C₅×D₄	—	2	2	no	—
306	C₂×C₅×D₄	—	4	1	no	—
307	C₂×C₅×D₄	—	4	1	no	—
308	C₂×C₅×D₄	—	4	1	no	—
309	C₂×C₅×D₄	—	4	1	no	—
310	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
311	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
312	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
313	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
314	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
315	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
316	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
317	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
318	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
319	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
320	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
321	C₅×C₄⋊C₄	—	2	2	no	—
322	C₅×C₄⋊C₄	—	2	2	no	—
323	C₅×C₄⋊C₄	—	2	2	no	—
324	C₅×C₄⋊C₄	—	4	1	no	—
325	C₅×C₄⋊C₄	—	4	1	no	—
326	C₅×C₄⋊C₄	—	4	1	no	—
327	C₅×C₂²⋊C₄	—	2	2	no	—
328	C₅×C₂²⋊C₄	—	2	2	no	—
329	C₅×C₂²⋊C₄	—	2	2	no	—
330	C₅×C₂²⋊C₄	—	2	2	no	—
331	C₅×C₂²⋊C₄	—	2	2	no	—
332	C₅×C₂²⋊C₄	—	2	2	no	—
333	C₅×C₂²⋊C₄	—	4	1	no	—
334	C₅×C₂²⋊C₄	—	4	1	no	—
335	C₅×C₂²⋊C₄	—	4	1	no	—
336	C₅×C₂²⋊C₄	—	4	1	no	—
337	C₅×C₂²⋊C₄	—	4	1	no	—
338	C₅×C₂²⋊C₄	—	4	1	no	—
339	C₅×C₂²⋊C₄	—	4	1	no	—
340	C₅×C₂²⋊C₄	—	4	1	no	—
341	C₅×C₂²⋊C₄	—	4	1	no	—
342	C₅×C₂²⋊C₄	—	4	1	no	—
343	C₅×C₂²⋊C₄	—	4	1	no	—
344	C₅×C₂²⋊C₄	—	4	1	no	—
345	C₅×C₂²⋊C₄	C₃×D₄	1	4	yes	—
346	C₄²×C₅	—	2	2	no	—
347	C₄²×C₅	—	4	1	no	—
348	C₂×#126	C₂×C₃×C₅	1	1	yes	characteristic, complemented
349	C₂×#120	C₂×C₃×C₅	1	1	yes	characteristic
350	#399	C₂×C₃×C₅	1	1	yes	characteristic, complemented
351	#396	C₂×C₃×C₅	1	1	yes	characteristic, complemented
352	#394	C₂×C₃×C₅	1	1	yes	characteristic, complemented
353	#394	C₂×C₃×C₅	1	1	yes	characteristic, complemented
354	#394	C₂×C₃×C₅	1	1	yes	characteristic, complemented
355	#394	C₂×C₃×C₅	1	1	yes	characteristic, complemented
356	#390	C₂×C₃×C₅	1	1	yes	characteristic, complemented
357	#390	C₂×C₃×C₅	1	1	yes	characteristic, complemented
358	#388	C₂×C₃×C₅	1	1	yes	characteristic, complemented
359	#388	C₂×C₃×C₅	1	1	yes	characteristic, complemented
360	#388	C₂×C₃×C₅	1	1	yes	characteristic, complemented
361	#379	C₂×C₃×C₅	1	1	yes	characteristic, complemented
362	#379	C₂×C₃×C₅	1	1	yes	characteristic, complemented
363	C₂²×C₃×C₅	—	2	2	no	—
364	C₂²×C₃×C₅	—	2	2	no	—
365	C₂²×C₃×C₅	—	2	2	no	—
366	C₂²×C₃×C₅	—	2	2	no	—
367	C₂²×C₃×C₅	—	2	2	no	—
368	C₂²×C₃×C₅	—	2	2	no	—
369	C₂²×C₃×C₅	—	2	2	no	—
370	C₂²×C₃×C₅	—	2	2	no	—
371	C₂²×C₃×C₅	—	2	2	no	—
372	C₂²×C₃×C₅	—	4	16	no	—
373	C₂²×C₃×C₅	—	4	1	no	—
374	C₂²×C₃×C₅	—	4	1	no	—
375	C₂²×C₃×C₅	—	4	1	no	—
376	C₂²×C₃×C₅	—	4	1	no	—
377	C₂²×C₃×C₅	—	4	1	no	—
378	C₂²×C₃×C₅	—	4	1	no	—
379	C₂²×C₃×C₅	—	4	1	no	—
380	C₂²×C₃×C₅	—	4	1	no	—
381	C₂²×C₃×C₅	—	4	1	no	—
382	C₂²×C₃×C₅	—	4	1	no	—
383	C₂²×C₃×C₅	—	4	1	no	—
384	C₂²×C₃×C₅	—	4	1	no	—
385	C₂²×C₃×C₅	—	4	1	no	—
386	C₂²×C₃×C₅	—	4	1	no	—
387	C₂²×C₃×C₅	—	4	1	no	—
388	C₂²×C₃×C₅	—	4	1	no	—
389	C₂²×C₃×C₅	—	4	1	no	—
390	C₂²×C₃×C₅	—	4	1	no	—
391	C₂²×C₃×C₅	—	4	1	no	—
392	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
393	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
394	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
395	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
396	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
397	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
398	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
399	C₃×C₄×C₅	—	2	2	no	—
400	C₃×C₄×C₅	—	2	2	no	—
401	C₃×C₄×C₅	—	4	1	no	—
402	C₃×C₄×C₅	—	4	1	no	—
403	C₃×C₄×C₅	—	4	1	no	—
404	C₃×C₄×C₅	—	4	1	no	—
405	C₃×C₄×C₅	—	4	1	no	—
406	C₃×C₄×C₅	—	4	1	no	—
407	C₃×C₄×C₅	—	4	1	no	—
408	C₃×C₄×C₅	—	4	1	no	—
409	C₃×C₄×C₅	—	4	1	no	—
410	C₂⁴×C₃	—	2	2	no	—
411	C₂⁴×C₃	—	2	2	no	—
412	C₂⁴×C₃	—	2	2	no	—
413	C₂⁴×C₃	—	4	1	no	—
414	C₂⁴×C₃	—	4	1	no	—
415	C₂⁴×C₃	—	4	1	no	—
416	C₂⁴×C₃	—	4	1	no	—
417	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
418	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
419	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
420	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
421	C₂×C₃×D₄	—	2	2	no	—
422	C₂×C₃×D₄	—	2	2	no	—
423	C₂×C₃×D₄	—	2	2	no	—
424	C₂×C₃×D₄	—	2	2	no	—
425	C₂×C₃×D₄	—	2	2	no	—
426	C₂×C₃×D₄	—	4	1	no	—
427	C₂×C₃×D₄	—	4	1	no	—
428	C₂×C₃×D₄	—	4	1	no	—
429	C₂×C₃×D₄	—	4	1	no	—
430	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
431	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
432	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
433	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
434	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
435	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
436	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
437	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
438	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
439	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
440	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
441	C₃×C₄⋊C₄	—	2	2	no	—
442	C₃×C₄⋊C₄	—	2	2	no	—
443	C₃×C₄⋊C₄	—	2	2	no	—
444	C₃×C₄⋊C₄	—	4	1	no	—
445	C₃×C₄⋊C₄	—	4	1	no	—
446	C₃×C₄⋊C₄	—	4	1	no	—
447	C₃×C₂²⋊C₄	—	2	2	no	—
448	C₃×C₂²⋊C₄	—	2	2	no	—
449	C₃×C₂²⋊C₄	—	2	2	no	—
450	C₃×C₂²⋊C₄	—	2	2	no	—
451	C₃×C₂²⋊C₄	—	2	2	no	—
452	C₃×C₂²⋊C₄	—	2	2	no	—
453	C₃×C₂²⋊C₄	—	4	1	no	—
454	C₃×C₂²⋊C₄	—	4	1	no	—
455	C₃×C₂²⋊C₄	—	4	1	no	—
456	C₃×C₂²⋊C₄	—	4	1	no	—
457	C₃×C₂²⋊C₄	—	4	1	no	—
458	C₃×C₂²⋊C₄	—	4	1	no	—
459	C₃×C₂²⋊C₄	—	4	1	no	—
460	C₃×C₂²⋊C₄	—	4	1	no	—
461	C₃×C₂²⋊C₄	—	4	1	no	—
462	C₃×C₂²⋊C₄	—	4	1	no	—
463	C₃×C₂²⋊C₄	—	4	1	no	—
464	C₃×C₂²⋊C₄	—	4	1	no	—
465	C₃×C₂²⋊C₄	C₅×D₄	1	4	yes	—
466	C₃×C₄²	—	2	2	no	—
467	C₃×C₄²	—	4	1	no	—
468	C₂³×C₅	—	2	1	no	—
469	C₂³×C₅	—	2	1	no	—
470	C₂³×C₅	—	2	1	no	—
471	C₂³×C₅	—	2	1	no	—
472	C₂³×C₅	—	2	1	no	—
473	C₂³×C₅	—	2	1	no	—
474	C₂³×C₅	—	2	1	no	—
475	C₂³×C₅	—	2	1	no	—
476	C₂³×C₅	—	2	1	no	—
477	C₂³×C₅	—	2	1	no	—
478	C₂³×C₅	—	2	1	no	—
479	C₂³×C₅	—	2	1	no	—
480	C₂³×C₅	—	2	1	no	—
481	C₂³×C₅	—	2	1	no	—
482	C₂³×C₅	—	2	1	no	—
483	C₂³×C₅	—	2	1	no	—
484	C₂³×C₅	—	2	1	no	—
485	C₂³×C₅	—	2	1	no	—
486	C₂³×C₅	—	2	1	no	—
487	C₂³×C₅	—	2	1	no	—
488	C₂³×C₅	—	2	1	no	—
489	C₂³×C₅	—	2	1	no	—
490	C₂³×C₅	—	2	1	no	—
491	C₂³×C₅	—	2	1	no	—
492	C₂³×C₅	—	2	1	no	—
493	C₂³×C₅	—	4	4	no	—
494	C₂³×C₅	—	4	4	no	—
495	C₂³×C₅	—	4	4	no	—
496	C₂³×C₅	—	4	4	no	—
497	C₂³×C₅	—	4	4	no	—
498	C₂³×C₅	—	4	4	no	—
499	C₂³×C₅	—	4	4	no	—
500	C₂³×C₅	C₂×C₃×D₄	1	2	yes	—
501	C₂³×C₅	C₃×#41	1	2	yes	—
502	C₂³×C₅	C₃×#41	1	2	yes	—
503	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
504	C₅×D₄	—	4	4	no	—
505	C₅×D₄	—	4	4	no	—
506	C₅×D₄	—	4	4	no	—
507	C₂×C₄×C₅	—	2	1	no	—
508	C₂×C₄×C₅	—	2	1	no	—
509	C₂×C₄×C₅	—	2	1	no	—
510	C₂×C₄×C₅	—	2	1	no	—
511	C₂×C₄×C₅	—	2	1	no	—
512	C₂×C₄×C₅	—	2	1	no	—
513	C₂×C₄×C₅	—	2	1	no	—
514	C₂×C₄×C₅	—	2	1	no	—
515	C₂×C₄×C₅	—	2	1	no	—
516	C₂×C₄×C₅	—	2	1	no	—
517	C₂×C₄×C₅	—	2	1	no	—
518	C₂×C₄×C₅	—	2	1	no	—
519	C₂×C₄×C₅	—	2	1	no	—
520	C₂×C₄×C₅	—	2	1	no	—
521	C₂×C₄×C₅	—	2	1	no	—
522	C₂×C₄×C₅	—	2	1	no	—
523	C₂×C₄×C₅	—	2	1	no	—
524	C₂×C₄×C₅	—	2	1	no	—
525	C₂×C₄×C₅	—	2	1	no	—
526	C₂×C₄×C₅	—	2	1	no	—
527	C₂×C₄×C₅	—	2	1	no	—
528	C₂×C₄×C₅	—	2	1	no	—
529	C₂×C₄×C₅	—	2	1	no	—
530	C₂×C₄×C₅	—	2	1	no	—
531	C₂×C₄×C₅	—	2	1	no	—
532	C₂×C₄×C₅	—	2	1	no	—
533	C₂×C₄×C₅	—	2	1	no	—
534	C₂×C₄×C₅	—	2	1	no	—
535	C₂×C₄×C₅	—	2	1	no	—
536	C₂×C₄×C₅	—	2	1	no	—
537	C₂×C₄×C₅	—	2	1	no	—
538	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
539	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
540	C₂⁵	C₂²×C₃×C₅	1	1	yes	characteristic
541	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
542	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
543	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
544	#126	—	2	4	no	—
545	#120	—	2	4	no	—
546	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
547	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
548	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
549	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
550	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
551	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
552	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
553	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
554	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
555	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
556	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
557	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
558	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
559	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
560	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
561	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
562	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
563	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
564	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
565	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
566	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
567	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
568	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
569	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
570	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
571	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
572	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
573	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
574	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
575	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
576	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
577	C₂×C₃×C₅	—	4	2	no	—
578	C₂×C₃×C₅	—	4	2	no	—
579	C₂×C₃×C₅	—	4	2	no	—
580	C₂×C₃×C₅	—	8	1	no	—
581	C₂×C₃×C₅	#535	1	1	yes	characteristic
582	C₂×C₃×C₅	#538	1	1	yes	characteristic
583	C₂×C₃×C₅	#538	1	1	yes	characteristic
584	C₂×C₃×C₅	#546	1	1	yes	characteristic
585	C₂×C₃×C₅	#546	1	1	yes	characteristic
586	C₂×C₃×C₅	#551	1	1	yes	characteristic
587	C₂×C₃×C₅	#560	1	1	yes	characteristic
588	C₂³×C₃	—	2	1	no	—
589	C₂³×C₃	—	2	1	no	—
590	C₂³×C₃	—	2	1	no	—
591	C₂³×C₃	—	2	1	no	—
592	C₂³×C₃	—	2	1	no	—
593	C₂³×C₃	—	2	1	no	—
594	C₂³×C₃	—	2	1	no	—
595	C₂³×C₃	—	2	1	no	—
596	C₂³×C₃	—	2	1	no	—
597	C₂³×C₃	—	2	1	no	—
598	C₂³×C₃	—	2	1	no	—
599	C₂³×C₃	—	2	1	no	—
600	C₂³×C₃	—	2	1	no	—
601	C₂³×C₃	—	2	1	no	—
602	C₂³×C₃	—	2	1	no	—
603	C₂³×C₃	—	2	1	no	—
604	C₂³×C₃	—	2	1	no	—
605	C₂³×C₃	—	2	1	no	—
606	C₂³×C₃	—	2	1	no	—
607	C₂³×C₃	—	2	1	no	—
608	C₂³×C₃	—	2	1	no	—
609	C₂³×C₃	—	2	1	no	—
610	C₂³×C₃	—	2	1	no	—
611	C₂³×C₃	—	2	1	no	—
612	C₂³×C₃	—	2	1	no	—
613	C₂³×C₃	—	4	4	no	—
614	C₂³×C₃	—	4	4	no	—
615	C₂³×C₃	—	4	4	no	—
616	C₂³×C₃	—	4	4	no	—
617	C₂³×C₃	—	4	4	no	—
618	C₂³×C₃	—	4	4	no	—
619	C₂³×C₃	—	4	4	no	—
620	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
621	C₂³×C₃	C₅×#41	1	2	yes	—
622	C₂³×C₃	C₅×#41	1	2	yes	—
623	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
624	C₃×D₄	—	4	4	no	—
625	C₃×D₄	—	4	4	no	—
626	C₃×D₄	—	4	4	no	—
627	C₂×C₃×C₄	—	2	1	no	—
628	C₂×C₃×C₄	—	2	1	no	—
629	C₂×C₃×C₄	—	2	1	no	—
630	C₂×C₃×C₄	—	2	1	no	—
631	C₂×C₃×C₄	—	2	1	no	—
632	C₂×C₃×C₄	—	2	1	no	—
633	C₂×C₃×C₄	—	2	1	no	—
634	C₂×C₃×C₄	—	2	1	no	—
635	C₂×C₃×C₄	—	2	1	no	—
636	C₂×C₃×C₄	—	2	1	no	—
637	C₂×C₃×C₄	—	2	1	no	—
638	C₂×C₃×C₄	—	2	1	no	—
639	C₂×C₃×C₄	—	2	1	no	—
640	C₂×C₃×C₄	—	2	1	no	—
641	C₂×C₃×C₄	—	2	1	no	—
642	C₂×C₃×C₄	—	2	1	no	—
643	C₂×C₃×C₄	—	2	1	no	—
644	C₂×C₃×C₄	—	2	1	no	—
645	C₂×C₃×C₄	—	2	1	no	—
646	C₂×C₃×C₄	—	2	1	no	—
647	C₂×C₃×C₄	—	2	1	no	—
648	C₂×C₃×C₄	—	2	1	no	—
649	C₂×C₃×C₄	—	2	1	no	—
650	C₂×C₃×C₄	—	2	1	no	—
651	C₂×C₃×C₄	—	2	1	no	—
652	C₂×C₃×C₄	—	2	1	no	—
653	C₂×C₃×C₄	—	2	1	no	—
654	C₂×C₃×C₄	—	2	1	no	—
655	C₂×C₃×C₄	—	2	1	no	—
656	C₂×C₃×C₄	—	2	1	no	—
657	C₂×C₃×C₄	—	2	1	no	—
658	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
659	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
660	C₂²×C₅	—	2	2	no	—
661	C₂²×C₅	—	2	2	no	—
662	C₂²×C₅	—	2	2	no	—
663	C₂²×C₅	—	2	2	no	—
664	C₂²×C₅	—	2	2	no	—
665	C₂²×C₅	—	2	2	no	—
666	C₂²×C₅	—	2	2	no	—
667	C₂²×C₅	—	2	2	no	—
668	C₂²×C₅	—	2	2	no	—
669	C₂²×C₅	—	4	16	no	—
670	C₂²×C₅	—	4	1	no	—
671	C₂²×C₅	—	4	1	no	—
672	C₂²×C₅	—	4	1	no	—
673	C₂²×C₅	—	4	1	no	—
674	C₂²×C₅	—	4	1	no	—
675	C₂²×C₅	—	4	1	no	—
676	C₂²×C₅	—	4	1	no	—
677	C₂²×C₅	—	4	1	no	—
678	C₂²×C₅	—	4	1	no	—
679	C₂²×C₅	—	4	1	no	—
680	C₂²×C₅	—	4	1	no	—
681	C₂²×C₅	—	4	1	no	—
682	C₂²×C₅	—	4	1	no	—
683	C₂²×C₅	—	4	1	no	—
684	C₂²×C₅	—	4	1	no	—
685	C₂²×C₅	—	4	1	no	—
686	C₂²×C₅	—	4	1	no	—
687	C₂²×C₅	—	4	1	no	—
688	C₂²×C₅	—	4	1	no	—
689	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
690	C₂²×C₅	C₂×C₃×#41	1	1	yes	characteristic
691	C₂²×C₅	C₂×C₃×#41	1	1	yes	characteristic
692	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
693	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
694	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
695	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
696	C₄×C₅	—	2	2	no	—
697	C₄×C₅	—	2	2	no	—
698	C₄×C₅	—	4	1	no	—
699	C₄×C₅	—	4	1	no	—
700	C₄×C₅	—	4	1	no	—
701	C₄×C₅	—	4	1	no	—
702	C₄×C₅	—	4	1	no	—
703	C₄×C₅	—	4	1	no	—
704	C₄×C₅	—	4	1	no	—
705	C₄×C₅	—	4	1	no	—
706	C₄×C₅	—	4	1	no	—
707	C₂⁴	—	2	2	no	—
708	C₂⁴	—	2	2	no	—
709	C₂⁴	—	2	2	no	—
710	C₂⁴	—	4	1	no	—
711	C₂⁴	—	4	1	no	—
712	C₂⁴	—	4	1	no	—
713	C₂⁴	—	4	1	no	—
714	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
715	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
716	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
717	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
718	C₂×D₄	—	2	2	no	—
719	C₂×D₄	—	2	2	no	—
720	C₂×D₄	—	2	2	no	—
721	C₂×D₄	—	2	2	no	—
722	C₂×D₄	—	2	2	no	—
723	C₂×D₄	—	4	1	no	—
724	C₂×D₄	—	4	1	no	—
725	C₂×D₄	—	4	1	no	—
726	C₂×D₄	—	4	1	no	—
727	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
728	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
729	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
730	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
731	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
732	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
733	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
734	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
735	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
736	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
737	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
738	C₄⋊C₄	—	2	2	no	—
739	C₄⋊C₄	—	2	2	no	—
740	C₄⋊C₄	—	2	2	no	—
741	C₄⋊C₄	—	4	1	no	—
742	C₄⋊C₄	—	4	1	no	—
743	C₄⋊C₄	—	4	1	no	—
744	C₂²⋊C₄	—	2	2	no	—
745	C₂²⋊C₄	—	2	2	no	—
746	C₂²⋊C₄	—	2	2	no	—
747	C₂²⋊C₄	—	2	2	no	—
748	C₂²⋊C₄	—	2	2	no	—
749	C₂²⋊C₄	—	2	2	no	—
750	C₂²⋊C₄	—	4	1	no	—
751	C₂²⋊C₄	—	4	1	no	—
752	C₂²⋊C₄	—	4	1	no	—
753	C₂²⋊C₄	—	4	1	no	—
754	C₂²⋊C₄	—	4	1	no	—
755	C₂²⋊C₄	—	4	1	no	—
756	C₂²⋊C₄	—	4	1	no	—
757	C₂²⋊C₄	—	4	1	no	—
758	C₂²⋊C₄	—	4	1	no	—
759	C₂²⋊C₄	—	4	1	no	—
760	C₂²⋊C₄	—	4	1	no	—
761	C₂²⋊C₄	—	4	1	no	—
762	C₂²⋊C₄	C₃×C₅×D₄	1	4	yes	—
763	C₄²	—	2	2	no	—
764	C₄²	—	4	1	no	—
765	C₃×C₅	#2685	1	1	yes	characteristic, direct product factor, Hall
766	C₂²×C₃	—	2	2	no	—
767	C₂²×C₃	—	2	2	no	—
768	C₂²×C₃	—	2	2	no	—
769	C₂²×C₃	—	2	2	no	—
770	C₂²×C₃	—	2	2	no	—
771	C₂²×C₃	—	2	2	no	—
772	C₂²×C₃	—	2	2	no	—
773	C₂²×C₃	—	2	2	no	—
774	C₂²×C₃	—	2	2	no	—
775	C₂²×C₃	—	4	16	no	—
776	C₂²×C₃	—	4	1	no	—
777	C₂²×C₃	—	4	1	no	—
778	C₂²×C₃	—	4	1	no	—
779	C₂²×C₃	—	4	1	no	—
780	C₂²×C₃	—	4	1	no	—
781	C₂²×C₃	—	4	1	no	—
782	C₂²×C₃	—	4	1	no	—
783	C₂²×C₃	—	4	1	no	—
784	C₂²×C₃	—	4	1	no	—
785	C₂²×C₃	—	4	1	no	—
786	C₂²×C₃	—	4	1	no	—
787	C₂²×C₃	—	4	1	no	—
788	C₂²×C₃	—	4	1	no	—
789	C₂²×C₃	—	4	1	no	—
790	C₂²×C₃	—	4	1	no	—
791	C₂²×C₃	—	4	1	no	—
792	C₂²×C₃	—	4	1	no	—
793	C₂²×C₃	—	4	1	no	—
794	C₂²×C₃	—	4	1	no	—
795	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
796	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
797	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
798	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
799	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
800	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
801	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
802	C₃×C₄	—	2	2	no	—
803	C₃×C₄	—	2	2	no	—
804	C₃×C₄	—	4	1	no	—
805	C₃×C₄	—	4	1	no	—
806	C₃×C₄	—	4	1	no	—
807	C₃×C₄	—	4	1	no	—
808	C₃×C₄	—	4	1	no	—
809	C₃×C₄	—	4	1	no	—
810	C₃×C₄	—	4	1	no	—
811	C₃×C₄	—	4	1	no	—
812	C₃×C₄	—	4	1	no	—
813	C₂×C₅	—	4	2	no	—
814	C₂×C₅	—	4	2	no	—
815	C₂×C₅	—	4	2	no	—
816	C₂×C₅	—	8	1	no	—
817	C₂×C₅	C₃×#535	1	1	yes	characteristic
818	C₂×C₅	C₃×#538	1	1	yes	characteristic
819	C₂×C₅	C₃×#538	1	1	yes	characteristic
820	C₂×C₅	C₃×#546	1	1	yes	characteristic
821	C₂×C₅	C₃×#546	1	1	yes	characteristic
822	C₂×C₅	C₃×#551	1	1	yes	characteristic
823	C₂×C₅	C₃×#560	1	1	yes	characteristic
824	C₂³	—	2	1	no	—
825	C₂³	—	2	1	no	—
826	C₂³	—	2	1	no	—
827	C₂³	—	2	1	no	—
828	C₂³	—	2	1	no	—
829	C₂³	—	2	1	no	—
830	C₂³	—	2	1	no	—
831	C₂³	—	2	1	no	—
832	C₂³	—	2	1	no	—
833	C₂³	—	2	1	no	—
834	C₂³	—	2	1	no	—
835	C₂³	—	2	1	no	—
836	C₂³	—	2	1	no	—
837	C₂³	—	2	1	no	—
838	C₂³	—	2	1	no	—
839	C₂³	—	2	1	no	—
840	C₂³	—	2	1	no	—
841	C₂³	—	2	1	no	—
842	C₂³	—	2	1	no	—
843	C₂³	—	2	1	no	—
844	C₂³	—	2	1	no	—
845	C₂³	—	2	1	no	—
846	C₂³	—	2	1	no	—
847	C₂³	—	2	1	no	—
848	C₂³	—	2	1	no	—
849	C₂³	—	4	4	no	—
850	C₂³	—	4	4	no	—
851	C₂³	—	4	4	no	—
852	C₂³	—	4	4	no	—
853	C₂³	—	4	4	no	—
854	C₂³	—	4	4	no	—
855	C₂³	—	4	4	no	—
856	C₂³	C₂×C₃×C₅×D₄	1	2	yes	—
857	C₂³	C₃×C₅×#41	1	2	yes	—
858	C₂³	C₃×C₅×#41	1	2	yes	—
859	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
860	D₄	—	4	4	no	—
861	D₄	—	4	4	no	—
862	D₄	—	4	4	no	—
863	C₂×C₄	—	2	1	no	—
864	C₂×C₄	—	2	1	no	—
865	C₂×C₄	—	2	1	no	—
866	C₂×C₄	—	2	1	no	—
867	C₂×C₄	—	2	1	no	—
868	C₂×C₄	—	2	1	no	—
869	C₂×C₄	—	2	1	no	—
870	C₂×C₄	—	2	1	no	—
871	C₂×C₄	—	2	1	no	—
872	C₂×C₄	—	2	1	no	—
873	C₂×C₄	—	2	1	no	—
874	C₂×C₄	—	2	1	no	—
875	C₂×C₄	—	2	1	no	—
876	C₂×C₄	—	2	1	no	—
877	C₂×C₄	—	2	1	no	—
878	C₂×C₄	—	2	1	no	—
879	C₂×C₄	—	2	1	no	—
880	C₂×C₄	—	2	1	no	—
881	C₂×C₄	—	2	1	no	—
882	C₂×C₄	—	2	1	no	—
883	C₂×C₄	—	2	1	no	—
884	C₂×C₄	—	2	1	no	—
885	C₂×C₄	—	2	1	no	—
886	C₂×C₄	—	2	1	no	—
887	C₂×C₄	—	2	1	no	—
888	C₂×C₄	—	2	1	no	—
889	C₂×C₄	—	2	1	no	—
890	C₂×C₄	—	2	1	no	—
891	C₂×C₄	—	2	1	no	—
892	C₂×C₄	—	2	1	no	—
893	C₂×C₄	—	2	1	no	—
894	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
895	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
896	C₂×C₃	—	4	2	no	—
897	C₂×C₃	—	4	2	no	—
898	C₂×C₃	—	4	2	no	—
899	C₂×C₃	—	8	1	no	—
900	C₂×C₃	C₅×#535	1	1	yes	characteristic
901	C₂×C₃	C₅×#538	1	1	yes	characteristic
902	C₂×C₃	C₅×#538	1	1	yes	characteristic
903	C₂×C₃	C₅×#546	1	1	yes	characteristic
904	C₂×C₃	C₅×#546	1	1	yes	characteristic
905	C₂×C₃	C₅×#551	1	1	yes	characteristic
906	C₂×C₃	C₅×#560	1	1	yes	characteristic
907	C₅	C₃×#2685	1	1	yes	characteristic, direct product factor, Sylow
908	C₂²	—	2	2	no	—
909	C₂²	—	2	2	no	—
910	C₂²	—	2	2	no	—
911	C₂²	—	2	2	no	—
912	C₂²	—	2	2	no	—
913	C₂²	—	2	2	no	—
914	C₂²	—	2	2	no	—
915	C₂²	—	2	2	no	—
916	C₂²	—	2	2	no	—
917	C₂²	—	4	16	no	—
918	C₂²	—	4	1	no	—
919	C₂²	—	4	1	no	—
920	C₂²	—	4	1	no	—
921	C₂²	—	4	1	no	—
922	C₂²	—	4	1	no	—
923	C₂²	—	4	1	no	—
924	C₂²	—	4	1	no	—
925	C₂²	—	4	1	no	—
926	C₂²	—	4	1	no	—
927	C₂²	—	4	1	no	—
928	C₂²	—	4	1	no	—
929	C₂²	—	4	1	no	—
930	C₂²	—	4	1	no	—
931	C₂²	—	4	1	no	—
932	C₂²	—	4	1	no	—
933	C₂²	—	4	1	no	—
934	C₂²	—	4	1	no	—
935	C₂²	—	4	1	no	—
936	C₂²	—	4	1	no	—
937	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
938	C₂²	C₂×C₃×C₅×#41	1	1	yes	characteristic
939	C₂²	C₂×C₃×C₅×#41	1	1	yes	characteristic
940	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
941	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
942	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
943	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
944	C₄	—	2	2	no	—
945	C₄	—	2	2	no	—
946	C₄	—	4	1	no	—
947	C₄	—	4	1	no	—
948	C₄	—	4	1	no	—
949	C₄	—	4	1	no	—
950	C₄	—	4	1	no	—
951	C₄	—	4	1	no	—
952	C₄	—	4	1	no	—
953	C₄	—	4	1	no	—
954	C₄	—	4	1	no	—
955	C₃	C₅×#2685	1	1	yes	characteristic, direct product factor, Sylow
956	C₂	—	4	2	no	—
957	C₂	—	4	2	no	—
958	C₂	—	4	2	no	—
959	C₂	—	8	1	no	—
960	C₂	C₃×C₅×#535	1	1	yes	characteristic
961	C₂	C₃×C₅×#538	1	1	yes	characteristic
962	C₂	C₃×C₅×#538	1	1	yes	characteristic
963	C₂	C₃×C₅×#546	1	1	yes	characteristic
964	C₂	C₃×C₅×#546	1	1	yes	characteristic
965	C₂	C₃×C₅×#551	1	1	yes	characteristic
966	C₂	C₃×C₅×#560	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₃×C₅	C₂⁴
commutator, Frattini, cosocle	C₂³	C₂⁴×C₃×C₅
prime radical	C₂×C₃×C₅×#120	C₂
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
1. C₂×C₃×C₅×#126	C₂	semidirect
3. C₃×C₅×#399	C₂	semidirect
4. C₃×C₅×#396	C₂	semidirect
5. C₃×C₅×#394	C₂	semidirect
6. C₃×C₅×#394	C₂	semidirect
7. C₃×C₅×#394	C₂	semidirect
8. C₃×C₅×#394	C₂	semidirect
9. C₃×C₅×#390	C₂	semidirect
10. C₃×C₅×#390	C₂	semidirect
11. C₃×C₅×#388	C₂	semidirect
12. C₃×C₅×#388	C₂	semidirect
13. C₃×C₅×#388	C₂	semidirect
14. C₃×C₅×#379	C₂	semidirect
15. C₃×C₅×#379	C₂	semidirect
16. C₅×#2685	C₃	direct (N × H)
23. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
24. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
25. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
26. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
27. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
28. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
44. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
45. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
46. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
47. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
48. C₂×C₃×C₄²×C₅	C₂²	semidirect
49. C₂×C₃×C₄²×C₅	C₂²	semidirect
50. C₃×C₅×#95	C₂²	semidirect
51. C₃×C₅×#95	C₂²	semidirect
52. C₃×C₅×#95	C₂²	semidirect
53. C₃×C₅×#95	C₂²	semidirect
54. C₃×#2685	C₅	direct (N × H)
55. C₂×C₅×#126	C₂×C₃	semidirect
57. C₅×#399	C₂×C₃	semidirect
58. C₅×#396	C₂×C₃	semidirect
59. C₅×#394	C₂×C₃	semidirect
60. C₅×#394	C₂×C₃	semidirect
61. C₅×#394	C₂×C₃	semidirect
62. C₅×#394	C₂×C₃	semidirect
63. C₅×#390	C₂×C₃	semidirect
64. C₅×#390	C₂×C₃	semidirect
65. C₅×#388	C₂×C₃	semidirect
66. C₅×#388	C₂×C₃	semidirect
67. C₅×#388	C₂×C₃	semidirect
68. C₅×#379	C₂×C₃	semidirect
69. C₅×#379	C₂×C₃	semidirect
128. C₂×C₃×#126	C₂×C₅	semidirect
130. C₃×#399	C₂×C₅	semidirect
131. C₃×#396	C₂×C₅	semidirect
132. C₃×#394	C₂×C₅	semidirect
133. C₃×#394	C₂×C₅	semidirect
134. C₃×#394	C₂×C₅	semidirect
135. C₃×#394	C₂×C₅	semidirect
136. C₃×#390	C₂×C₅	semidirect
137. C₃×#390	C₂×C₅	semidirect
138. C₃×#388	C₂×C₅	semidirect
139. C₃×#388	C₂×C₅	semidirect
140. C₃×#388	C₂×C₅	semidirect
141. C₃×#379	C₂×C₅	semidirect
142. C₃×#379	C₂×C₅	semidirect
149. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
150. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
151. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
152. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
153. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
154. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
170. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
171. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
172. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
173. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
174. C₂×C₄²×C₅	C₂²×C₃	semidirect
175. C₂×C₄²×C₅	C₂²×C₃	semidirect
176. C₅×#95	C₂²×C₃	semidirect
177. C₅×#95	C₂²×C₃	semidirect
178. C₅×#95	C₂²×C₃	semidirect
179. C₅×#95	C₂²×C₃	semidirect
180. #2685	C₃×C₅	direct (N × H)
259. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
260. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
261. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
262. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
263. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
264. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
280. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
281. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
282. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
283. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
284. C₂×C₃×C₄²	C₂²×C₅	semidirect
285. C₂×C₃×C₄²	C₂²×C₅	semidirect
286. C₃×#95	C₂²×C₅	semidirect
287. C₃×#95	C₂²×C₅	semidirect
288. C₃×#95	C₂²×C₅	semidirect
289. C₃×#95	C₂²×C₅	semidirect
348. C₂×#126	C₂×C₃×C₅	semidirect
350. #399	C₂×C₃×C₅	semidirect
351. #396	C₂×C₃×C₅	semidirect
352. #394	C₂×C₃×C₅	semidirect
353. #394	C₂×C₃×C₅	semidirect
354. #394	C₂×C₃×C₅	semidirect
355. #394	C₂×C₃×C₅	semidirect
356. #390	C₂×C₃×C₅	semidirect
357. #390	C₂×C₃×C₅	semidirect
358. #388	C₂×C₃×C₅	semidirect
359. #388	C₂×C₃×C₅	semidirect
360. #388	C₂×C₃×C₅	semidirect
361. #379	C₂×C₃×C₅	semidirect
362. #379	C₂×C₃×C₅	semidirect
546. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
547. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
548. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
549. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
550. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
551. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
567. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
568. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
569. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
570. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
571. C₂×C₄²	C₂²×C₃×C₅	semidirect
572. C₂×C₄²	C₂²×C₃×C₅	semidirect
573. #95	C₂²×C₃×C₅	semidirect
574. #95	C₂²×C₃×C₅	semidirect
575. #95	C₂²×C₃×C₅	semidirect
576. #95	C₂²×C₃×C₅	semidirect
765. C₃×C₅	#2685	direct (N × H)
907. C₅	C₃×#2685	direct (N × H)
955. C₃	C₅×#2685	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×#126	2
C₂×C₃×C₅×#120	2
C₃×C₅×#399	2
C₃×C₅×#396	2
C₃×C₅×#394	2
C₃×C₅×#390	2
C₃×C₅×#388	2
C₃×C₅×#379	2
C₅×#2685	3
C₃×#2685	5

Subgroups — C3×C5×#2685 #14275719

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#2685 #14275719