Subgroups — C₃×C₅×#2418 #14275452

Order 1920.

1600 conjugacy classes of subgroups.

The subgroup lattice has 1004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₃×C₅×#123	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₃×C₅×#120	C₂	1	1	yes	maximal, characteristic
3	C₂×C₃×C₄×C₅×D₄	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂²×C₃×C₅×C₂²⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×C₅×#399	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×C₅×#397	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×#388	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×C₅×#388	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×C₅×#386	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×C₅×#386	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×C₅×#385	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×C₅×#380	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×C₅×#379	C₂	1	1	yes	maximal, characteristic, complemented
16	C₅×#2418	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	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
22	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic
23	C₂³×C₃×C₄×C₅	C₂²	1	1	yes	characteristic, complemented
24	C₃×C₅×#123	—	2	4	no	—
25	C₃×C₅×#120	—	2	4	no	—
26	C₃×C₄×C₅×D₄	—	2	4	no	—
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×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
30	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
31	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
32	C₂×C₃×C₅×C₂²⋊C₄	—	2	4	no	—
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
45	C₂×C₃×C₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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×C₅×C₂²⋊C₄	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×C₅×#95	C₂²	1	1	yes	characteristic, complemented
55	C₃×C₅×#95	C₂²	1	1	yes	characteristic, complemented
56	C₃×#2418	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
57	C₂×C₅×#123	C₂×C₃	1	1	yes	characteristic, complemented
58	C₂×C₅×#120	C₂×C₃	1	1	yes	characteristic
59	C₂×C₄×C₅×D₄	C₂×C₃	1	1	yes	characteristic, complemented
60	C₂²×C₅×C₂²⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
61	C₅×#399	C₂×C₃	1	1	yes	characteristic, complemented
62	C₅×#397	C₂×C₃	1	1	yes	characteristic, complemented
63	C₅×#394	C₂×C₃	1	1	yes	characteristic, complemented
64	C₅×#394	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×#386	C₂×C₃	1	1	yes	characteristic, complemented
68	C₅×#386	C₂×C₃	1	1	yes	characteristic, complemented
69	C₅×#385	C₂×C₃	1	1	yes	characteristic, complemented
70	C₅×#380	C₂×C₃	1	1	yes	characteristic, complemented
71	C₅×#379	C₂×C₃	1	1	yes	characteristic, complemented
72	C₂⁴×C₃×C₅	—	2	2	no	—
73	C₂⁴×C₃×C₅	—	2	2	no	—
74	C₂⁴×C₃×C₅	—	2	2	no	—
75	C₂⁴×C₃×C₅	—	2	2	no	—
76	C₂⁴×C₃×C₅	—	2	2	no	—
77	C₂⁴×C₃×C₅	—	4	1	no	—
78	C₂⁴×C₃×C₅	—	4	1	no	—
79	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
80	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
81	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
82	C₂⁴×C₃×C₅	C₂³	1	1	yes	characteristic
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	—	2	2	no	—
87	C₂×C₃×C₅×D₄	—	2	2	no	—
88	C₂×C₃×C₅×D₄	—	2	2	no	—
89	C₂×C₃×C₅×D₄	—	4	1	no	—
90	C₂×C₃×C₅×D₄	—	4	1	no	—
91	C₂×C₃×C₅×D₄	D₄	1	4	yes	—
92	C₂²×C₃×C₄×C₅	—	2	2	no	—
93	C₂²×C₃×C₄×C₅	—	2	2	no	—
94	C₂²×C₃×C₄×C₅	—	2	2	no	—
95	C₂²×C₃×C₄×C₅	—	2	2	no	—
96	C₂²×C₃×C₄×C₅	—	2	2	no	—
97	C₂²×C₃×C₄×C₅	—	2	2	no	—
98	C₂²×C₃×C₄×C₅	—	4	1	no	—
99	C₂²×C₃×C₄×C₅	—	4	1	no	—
100	C₂²×C₃×C₄×C₅	—	4	1	no	—
101	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
102	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
103	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
104	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
105	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
106	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
107	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
108	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
109	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
110	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
111	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
112	C₃×C₅×C₄⋊C₄	—	2	2	no	—
113	C₃×C₅×C₄⋊C₄	—	2	2	no	—
114	C₃×C₅×C₄⋊C₄	—	2	2	no	—
115	C₃×C₅×C₄⋊C₄	—	4	1	no	—
116	C₃×C₅×C₄⋊C₄	—	4	1	no	—
117	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
118	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
119	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
120	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
121	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
122	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
123	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
124	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
125	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
126	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
127	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
128	C₃×C₅×C₂²⋊C₄	—	2	2	no	—
129	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
130	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
131	C₃×C₅×C₂²⋊C₄	—	4	1	no	—
132	C₃×C₅×C₂²⋊C₄	D₄	1	4	yes	complemented
133	C₃×C₄²×C₅	—	2	2	no	—
134	C₂×C₃×#123	C₂×C₅	1	1	yes	characteristic, complemented
135	C₂×C₃×#120	C₂×C₅	1	1	yes	characteristic
136	C₂×C₃×C₄×D₄	C₂×C₅	1	1	yes	characteristic, complemented
137	C₂²×C₃×C₂²⋊C₄	C₂×C₅	1	1	yes	characteristic, complemented
138	C₃×#399	C₂×C₅	1	1	yes	characteristic, complemented
139	C₃×#397	C₂×C₅	1	1	yes	characteristic, complemented
140	C₃×#394	C₂×C₅	1	1	yes	characteristic, complemented
141	C₃×#394	C₂×C₅	1	1	yes	characteristic, complemented
142	C₃×#388	C₂×C₅	1	1	yes	characteristic, complemented
143	C₃×#388	C₂×C₅	1	1	yes	characteristic, complemented
144	C₃×#386	C₂×C₅	1	1	yes	characteristic, complemented
145	C₃×#386	C₂×C₅	1	1	yes	characteristic, complemented
146	C₃×#385	C₂×C₅	1	1	yes	characteristic, complemented
147	C₃×#380	C₂×C₅	1	1	yes	characteristic, complemented
148	C₃×#379	C₂×C₅	1	1	yes	characteristic, complemented
149	C₂⁵×C₅	C₂²×C₃	1	1	yes	characteristic
150	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
151	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
152	C₂²×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
153	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic
154	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic
155	C₂³×C₄×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
156	C₅×#123	—	2	4	no	—
157	C₅×#120	—	2	4	no	—
158	C₄×C₅×D₄	—	2	4	no	—
159	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
160	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
161	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
162	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
163	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
164	C₂×C₅×C₂²⋊C₄	—	2	4	no	—
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
171	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
172	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
173	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
174	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
175	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
176	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
177	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
178	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
179	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
180	C₂×C₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
181	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
182	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
183	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
184	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
185	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
186	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
187	C₅×#95	C₂²×C₃	1	1	yes	characteristic, complemented
188	#2418	C₃×C₅	1	1	yes	characteristic, direct product factor, Sylow
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	8	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	—	2	1	no	—
207	C₂³×C₃×C₅	—	2	1	no	—
208	C₂³×C₃×C₅	—	2	1	no	—
209	C₂³×C₃×C₅	—	2	1	no	—
210	C₂³×C₃×C₅	—	2	1	no	—
211	C₂³×C₃×C₅	—	2	1	no	—
212	C₂³×C₃×C₅	—	4	4	no	—
213	C₂³×C₃×C₅	—	4	4	no	—
214	C₂³×C₃×C₅	—	4	4	no	—
215	C₂³×C₃×C₅	—	4	4	no	—
216	C₂³×C₃×C₅	—	4	4	no	—
217	C₂³×C₃×C₅	—	4	4	no	—
218	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
219	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
220	C₂³×C₃×C₅	C₂×D₄	1	2	yes	—
221	C₂³×C₃×C₅	#41	1	2	yes	—
222	C₂³×C₃×C₅	#41	1	2	yes	—
223	C₂³×C₃×C₅	#41	1	2	yes	—
224	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
225	C₃×C₅×D₄	—	2	8	no	—
226	C₃×C₅×D₄	—	4	4	no	—
227	C₃×C₅×D₄	—	4	4	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	—	2	1	no	—
252	C₂×C₃×C₄×C₅	—	2	1	no	—
253	C₂×C₃×C₄×C₅	—	2	1	no	—
254	C₂×C₃×C₄×C₅	—	2	1	no	—
255	C₂×C₃×C₄×C₅	—	2	1	no	—
256	C₂×C₃×C₄×C₅	—	2	1	no	—
257	C₂×C₃×C₄×C₅	—	2	1	no	—
258	C₂×C₃×C₄×C₅	—	4	4	no	—
259	C₂×C₃×C₄×C₅	—	4	4	no	—
260	C₂×C₃×C₄×C₅	—	4	4	no	—
261	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
262	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
263	C₂×C₃×C₄×C₅	C₂×D₄	1	2	yes	—
264	C₂⁵×C₃	C₂²×C₅	1	1	yes	characteristic
265	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
266	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
267	C₂²×C₃×D₄	C₂²×C₅	1	1	yes	characteristic
268	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic
269	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic
270	C₂³×C₃×C₄	C₂²×C₅	1	1	yes	characteristic, complemented
271	C₃×#123	—	2	4	no	—
272	C₃×#120	—	2	4	no	—
273	C₃×C₄×D₄	—	2	4	no	—
274	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
275	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
276	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
277	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
278	C₂×C₃×C₄⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
279	C₂×C₃×C₂²⋊C₄	—	2	4	no	—
280	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
281	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
282	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
283	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
284	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
285	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
286	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
287	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
288	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
289	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
290	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
291	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
292	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic
293	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
294	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
295	C₂×C₃×C₂²⋊C₄	C₂²×C₅	1	1	yes	characteristic, complemented
296	C₂×C₃×C₄²	C₂²×C₅	1	1	yes	characteristic, complemented
297	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
298	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
299	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
300	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
301	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
302	C₃×#95	C₂²×C₅	1	1	yes	characteristic, complemented
303	C₂⁴×C₅	—	2	2	no	—
304	C₂⁴×C₅	—	2	2	no	—
305	C₂⁴×C₅	—	2	2	no	—
306	C₂⁴×C₅	—	2	2	no	—
307	C₂⁴×C₅	—	2	2	no	—
308	C₂⁴×C₅	—	4	1	no	—
309	C₂⁴×C₅	—	4	1	no	—
310	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
311	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
312	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
313	C₂⁴×C₅	C₂³×C₃	1	1	yes	characteristic
314	C₂×C₅×D₄	—	2	2	no	—
315	C₂×C₅×D₄	—	2	2	no	—
316	C₂×C₅×D₄	—	2	2	no	—
317	C₂×C₅×D₄	—	2	2	no	—
318	C₂×C₅×D₄	—	2	2	no	—
319	C₂×C₅×D₄	—	2	2	no	—
320	C₂×C₅×D₄	—	4	1	no	—
321	C₂×C₅×D₄	—	4	1	no	—
322	C₂×C₅×D₄	C₃×D₄	1	4	yes	—
323	C₂²×C₄×C₅	—	2	2	no	—
324	C₂²×C₄×C₅	—	2	2	no	—
325	C₂²×C₄×C₅	—	2	2	no	—
326	C₂²×C₄×C₅	—	2	2	no	—
327	C₂²×C₄×C₅	—	2	2	no	—
328	C₂²×C₄×C₅	—	2	2	no	—
329	C₂²×C₄×C₅	—	4	1	no	—
330	C₂²×C₄×C₅	—	4	1	no	—
331	C₂²×C₄×C₅	—	4	1	no	—
332	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
333	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
334	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
335	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
336	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
337	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
338	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
339	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
340	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
341	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
342	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
343	C₅×C₄⋊C₄	—	2	2	no	—
344	C₅×C₄⋊C₄	—	2	2	no	—
345	C₅×C₄⋊C₄	—	2	2	no	—
346	C₅×C₄⋊C₄	—	4	1	no	—
347	C₅×C₄⋊C₄	—	4	1	no	—
348	C₅×C₂²⋊C₄	—	2	2	no	—
349	C₅×C₂²⋊C₄	—	2	2	no	—
350	C₅×C₂²⋊C₄	—	2	2	no	—
351	C₅×C₂²⋊C₄	—	2	2	no	—
352	C₅×C₂²⋊C₄	—	2	2	no	—
353	C₅×C₂²⋊C₄	—	2	2	no	—
354	C₅×C₂²⋊C₄	—	2	2	no	—
355	C₅×C₂²⋊C₄	—	2	2	no	—
356	C₅×C₂²⋊C₄	—	2	2	no	—
357	C₅×C₂²⋊C₄	—	2	2	no	—
358	C₅×C₂²⋊C₄	—	2	2	no	—
359	C₅×C₂²⋊C₄	—	2	2	no	—
360	C₅×C₂²⋊C₄	—	4	1	no	—
361	C₅×C₂²⋊C₄	—	4	1	no	—
362	C₅×C₂²⋊C₄	—	4	1	no	—
363	C₅×C₂²⋊C₄	C₃×D₄	1	4	yes	complemented
364	C₄²×C₅	—	2	2	no	—
365	C₂×#123	C₂×C₃×C₅	1	1	yes	characteristic, complemented
366	C₂×#120	C₂×C₃×C₅	1	1	yes	characteristic
367	C₂×C₄×D₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
368	C₂²×C₂²⋊C₄	C₂×C₃×C₅	1	1	yes	characteristic, complemented
369	#399	C₂×C₃×C₅	1	1	yes	characteristic, complemented
370	#397	C₂×C₃×C₅	1	1	yes	characteristic, complemented
371	#394	C₂×C₃×C₅	1	1	yes	characteristic, complemented
372	#394	C₂×C₃×C₅	1	1	yes	characteristic, complemented
373	#388	C₂×C₃×C₅	1	1	yes	characteristic, complemented
374	#388	C₂×C₃×C₅	1	1	yes	characteristic, complemented
375	#386	C₂×C₃×C₅	1	1	yes	characteristic, complemented
376	#386	C₂×C₃×C₅	1	1	yes	characteristic, complemented
377	#385	C₂×C₃×C₅	1	1	yes	characteristic, complemented
378	#380	C₂×C₃×C₅	1	1	yes	characteristic, complemented
379	#379	C₂×C₃×C₅	1	1	yes	characteristic, complemented
380	C₂²×C₃×C₅	—	2	2	no	—
381	C₂²×C₃×C₅	—	2	2	no	—
382	C₂²×C₃×C₅	—	2	2	no	—
383	C₂²×C₃×C₅	—	2	2	no	—
384	C₂²×C₃×C₅	—	2	2	no	—
385	C₂²×C₃×C₅	—	2	2	no	—
386	C₂²×C₃×C₅	—	2	2	no	—
387	C₂²×C₃×C₅	—	2	2	no	—
388	C₂²×C₃×C₅	—	2	2	no	—
389	C₂²×C₃×C₅	—	2	2	no	—
390	C₂²×C₃×C₅	—	2	2	no	—
391	C₂²×C₃×C₅	—	2	2	no	—
392	C₂²×C₃×C₅	—	2	2	no	—
393	C₂²×C₃×C₅	—	2	2	no	—
394	C₂²×C₃×C₅	—	2	2	no	—
395	C₂²×C₃×C₅	—	4	16	no	—
396	C₂²×C₃×C₅	—	4	1	no	—
397	C₂²×C₃×C₅	—	4	1	no	—
398	C₂²×C₃×C₅	—	4	1	no	—
399	C₂²×C₃×C₅	—	4	1	no	—
400	C₂²×C₃×C₅	—	4	1	no	—
401	C₂²×C₃×C₅	—	4	1	no	—
402	C₂²×C₃×C₅	—	4	1	no	—
403	C₂²×C₃×C₅	—	4	1	no	—
404	C₂²×C₃×C₅	—	4	1	no	—
405	C₂²×C₃×C₅	—	4	1	no	—
406	C₂²×C₃×C₅	—	4	1	no	—
407	C₂²×C₃×C₅	—	4	1	no	—
408	C₂²×C₃×C₅	#123	1	4	yes	complemented
409	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
410	C₂²×C₃×C₅	C₂²×D₄	1	1	yes	characteristic
411	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
412	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
413	C₂²×C₃×C₅	C₂×#41	1	1	yes	characteristic
414	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
415	C₂²×C₃×C₅	H(5,𝔽₂)	1	1	yes	characteristic
416	C₃×C₄×C₅	—	2	2	no	—
417	C₃×C₄×C₅	—	2	2	no	—
418	C₃×C₄×C₅	—	2	2	no	—
419	C₃×C₄×C₅	—	4	1	no	—
420	C₃×C₄×C₅	—	4	1	no	—
421	C₃×C₄×C₅	—	4	1	no	—
422	C₃×C₄×C₅	—	4	1	no	—
423	C₃×C₄×C₅	—	4	1	no	—
424	C₃×C₄×C₅	—	4	1	no	—
425	C₃×C₄×C₅	—	4	1	no	—
426	C₃×C₄×C₅	—	4	1	no	—
427	C₂⁴×C₃	—	2	2	no	—
428	C₂⁴×C₃	—	2	2	no	—
429	C₂⁴×C₃	—	2	2	no	—
430	C₂⁴×C₃	—	2	2	no	—
431	C₂⁴×C₃	—	2	2	no	—
432	C₂⁴×C₃	—	4	1	no	—
433	C₂⁴×C₃	—	4	1	no	—
434	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
435	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
436	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
437	C₂⁴×C₃	C₂³×C₅	1	1	yes	characteristic
438	C₂×C₃×D₄	—	2	2	no	—
439	C₂×C₃×D₄	—	2	2	no	—
440	C₂×C₃×D₄	—	2	2	no	—
441	C₂×C₃×D₄	—	2	2	no	—
442	C₂×C₃×D₄	—	2	2	no	—
443	C₂×C₃×D₄	—	2	2	no	—
444	C₂×C₃×D₄	—	4	1	no	—
445	C₂×C₃×D₄	—	4	1	no	—
446	C₂×C₃×D₄	C₅×D₄	1	4	yes	—
447	C₂²×C₃×C₄	—	2	2	no	—
448	C₂²×C₃×C₄	—	2	2	no	—
449	C₂²×C₃×C₄	—	2	2	no	—
450	C₂²×C₃×C₄	—	2	2	no	—
451	C₂²×C₃×C₄	—	2	2	no	—
452	C₂²×C₃×C₄	—	2	2	no	—
453	C₂²×C₃×C₄	—	4	1	no	—
454	C₂²×C₃×C₄	—	4	1	no	—
455	C₂²×C₃×C₄	—	4	1	no	—
456	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
457	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
458	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
459	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
460	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
461	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
462	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
463	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
464	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
465	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
466	C₂²×C₃×C₄	C₂³×C₅	1	1	yes	characteristic
467	C₃×C₄⋊C₄	—	2	2	no	—
468	C₃×C₄⋊C₄	—	2	2	no	—
469	C₃×C₄⋊C₄	—	2	2	no	—
470	C₃×C₄⋊C₄	—	4	1	no	—
471	C₃×C₄⋊C₄	—	4	1	no	—
472	C₃×C₂²⋊C₄	—	2	2	no	—
473	C₃×C₂²⋊C₄	—	2	2	no	—
474	C₃×C₂²⋊C₄	—	2	2	no	—
475	C₃×C₂²⋊C₄	—	2	2	no	—
476	C₃×C₂²⋊C₄	—	2	2	no	—
477	C₃×C₂²⋊C₄	—	2	2	no	—
478	C₃×C₂²⋊C₄	—	2	2	no	—
479	C₃×C₂²⋊C₄	—	2	2	no	—
480	C₃×C₂²⋊C₄	—	2	2	no	—
481	C₃×C₂²⋊C₄	—	2	2	no	—
482	C₃×C₂²⋊C₄	—	2	2	no	—
483	C₃×C₂²⋊C₄	—	2	2	no	—
484	C₃×C₂²⋊C₄	—	4	1	no	—
485	C₃×C₂²⋊C₄	—	4	1	no	—
486	C₃×C₂²⋊C₄	—	4	1	no	—
487	C₃×C₂²⋊C₄	C₅×D₄	1	4	yes	complemented
488	C₃×C₄²	—	2	2	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	—	2	8	no	—
494	C₂³×C₅	—	2	1	no	—
495	C₂³×C₅	—	2	1	no	—
496	C₂³×C₅	—	2	1	no	—
497	C₂³×C₅	—	2	1	no	—
498	C₂³×C₅	—	2	1	no	—
499	C₂³×C₅	—	2	1	no	—
500	C₂³×C₅	—	2	1	no	—
501	C₂³×C₅	—	2	1	no	—
502	C₂³×C₅	—	2	1	no	—
503	C₂³×C₅	—	2	1	no	—
504	C₂³×C₅	—	2	1	no	—
505	C₂³×C₅	—	2	1	no	—
506	C₂³×C₅	—	2	1	no	—
507	C₂³×C₅	—	2	1	no	—
508	C₂³×C₅	—	2	1	no	—
509	C₂³×C₅	—	2	1	no	—
510	C₂³×C₅	—	2	1	no	—
511	C₂³×C₅	—	2	1	no	—
512	C₂³×C₅	—	4	4	no	—
513	C₂³×C₅	—	4	4	no	—
514	C₂³×C₅	—	4	4	no	—
515	C₂³×C₅	—	4	4	no	—
516	C₂³×C₅	—	4	4	no	—
517	C₂³×C₅	—	4	4	no	—
518	C₂³×C₅	C₂×C₃×D₄	1	2	yes	—
519	C₂³×C₅	C₂×C₃×D₄	1	2	yes	—
520	C₂³×C₅	C₂×C₃×D₄	1	2	yes	—
521	C₂³×C₅	C₃×#41	1	2	yes	—
522	C₂³×C₅	C₃×#41	1	2	yes	—
523	C₂³×C₅	C₃×#41	1	2	yes	—
524	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
525	C₅×D₄	—	2	8	no	—
526	C₅×D₄	—	4	4	no	—
527	C₅×D₄	—	4	4	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	—	2	1	no	—
539	C₂×C₄×C₅	—	2	1	no	—
540	C₂×C₄×C₅	—	2	1	no	—
541	C₂×C₄×C₅	—	2	1	no	—
542	C₂×C₄×C₅	—	2	1	no	—
543	C₂×C₄×C₅	—	2	1	no	—
544	C₂×C₄×C₅	—	2	1	no	—
545	C₂×C₄×C₅	—	2	1	no	—
546	C₂×C₄×C₅	—	2	1	no	—
547	C₂×C₄×C₅	—	2	1	no	—
548	C₂×C₄×C₅	—	2	1	no	—
549	C₂×C₄×C₅	—	2	1	no	—
550	C₂×C₄×C₅	—	2	1	no	—
551	C₂×C₄×C₅	—	2	1	no	—
552	C₂×C₄×C₅	—	2	1	no	—
553	C₂×C₄×C₅	—	2	1	no	—
554	C₂×C₄×C₅	—	2	1	no	—
555	C₂×C₄×C₅	—	2	1	no	—
556	C₂×C₄×C₅	—	2	1	no	—
557	C₂×C₄×C₅	—	2	1	no	—
558	C₂×C₄×C₅	—	4	4	no	—
559	C₂×C₄×C₅	—	4	4	no	—
560	C₂×C₄×C₅	—	4	4	no	—
561	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
562	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
563	C₂×C₄×C₅	C₂×C₃×D₄	1	2	yes	—
564	C₂⁵	C₂²×C₃×C₅	1	1	yes	characteristic
565	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
566	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
567	C₂²×D₄	C₂²×C₃×C₅	1	1	yes	characteristic
568	C₂³×C₄	C₂²×C₃×C₅	1	1	yes	characteristic
569	C₂³×C₄	C₂²×C₃×C₅	1	1	yes	characteristic
570	C₂³×C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
571	#123	—	2	4	no	—
572	#120	—	2	4	no	—
573	C₄×D₄	—	2	4	no	—
574	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
575	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
576	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
577	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
578	C₂×C₄⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
579	C₂×C₂²⋊C₄	—	2	4	no	—
580	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
581	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
582	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
583	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
584	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
585	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
586	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
587	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
588	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
589	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
590	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
591	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic
593	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
594	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
595	C₂×C₂²⋊C₄	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
596	C₂×C₄²	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
597	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
598	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
599	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
600	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
601	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
602	#95	C₂²×C₃×C₅	1	1	yes	characteristic, complemented
603	C₂×C₃×C₅	—	2	4	no	—
604	C₂×C₃×C₅	—	4	2	no	—
605	C₂×C₃×C₅	—	4	2	no	—
606	C₂×C₃×C₅	—	4	2	no	—
607	C₂×C₃×C₅	C₂×#123	1	1	yes	characteristic
608	C₂×C₃×C₅	#525	1	1	yes	characteristic
609	C₂×C₃×C₅	#538	1	1	yes	characteristic
610	C₂×C₃×C₅	D₄²	1	1	yes	characteristic
611	C₂×C₃×C₅	#546	1	1	yes	characteristic
612	C₂×C₃×C₅	#546	1	1	yes	characteristic
613	C₂×C₃×C₅	#551	1	1	yes	characteristic
614	C₂³×C₃	—	2	1	no	—
615	C₂³×C₃	—	2	1	no	—
616	C₂³×C₃	—	2	1	no	—
617	C₂³×C₃	—	2	1	no	—
618	C₂³×C₃	—	2	8	no	—
619	C₂³×C₃	—	2	1	no	—
620	C₂³×C₃	—	2	1	no	—
621	C₂³×C₃	—	2	1	no	—
622	C₂³×C₃	—	2	1	no	—
623	C₂³×C₃	—	2	1	no	—
624	C₂³×C₃	—	2	1	no	—
625	C₂³×C₃	—	2	1	no	—
626	C₂³×C₃	—	2	1	no	—
627	C₂³×C₃	—	2	1	no	—
628	C₂³×C₃	—	2	1	no	—
629	C₂³×C₃	—	2	1	no	—
630	C₂³×C₃	—	2	1	no	—
631	C₂³×C₃	—	2	1	no	—
632	C₂³×C₃	—	2	1	no	—
633	C₂³×C₃	—	2	1	no	—
634	C₂³×C₃	—	2	1	no	—
635	C₂³×C₃	—	2	1	no	—
636	C₂³×C₃	—	2	1	no	—
637	C₂³×C₃	—	4	4	no	—
638	C₂³×C₃	—	4	4	no	—
639	C₂³×C₃	—	4	4	no	—
640	C₂³×C₃	—	4	4	no	—
641	C₂³×C₃	—	4	4	no	—
642	C₂³×C₃	—	4	4	no	—
643	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
644	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
645	C₂³×C₃	C₂×C₅×D₄	1	2	yes	—
646	C₂³×C₃	C₅×#41	1	2	yes	—
647	C₂³×C₃	C₅×#41	1	2	yes	—
648	C₂³×C₃	C₅×#41	1	2	yes	—
649	C₂³×C₃	C₂⁴×C₅	1	1	yes	characteristic
650	C₃×D₄	—	2	8	no	—
651	C₃×D₄	—	4	4	no	—
652	C₃×D₄	—	4	4	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	—	2	1	no	—
659	C₂×C₃×C₄	—	2	1	no	—
660	C₂×C₃×C₄	—	2	1	no	—
661	C₂×C₃×C₄	—	2	1	no	—
662	C₂×C₃×C₄	—	2	1	no	—
663	C₂×C₃×C₄	—	2	1	no	—
664	C₂×C₃×C₄	—	2	1	no	—
665	C₂×C₃×C₄	—	2	1	no	—
666	C₂×C₃×C₄	—	2	1	no	—
667	C₂×C₃×C₄	—	2	1	no	—
668	C₂×C₃×C₄	—	2	1	no	—
669	C₂×C₃×C₄	—	2	1	no	—
670	C₂×C₃×C₄	—	2	1	no	—
671	C₂×C₃×C₄	—	2	1	no	—
672	C₂×C₃×C₄	—	2	1	no	—
673	C₂×C₃×C₄	—	2	1	no	—
674	C₂×C₃×C₄	—	2	1	no	—
675	C₂×C₃×C₄	—	2	1	no	—
676	C₂×C₃×C₄	—	2	1	no	—
677	C₂×C₃×C₄	—	2	1	no	—
678	C₂×C₃×C₄	—	2	1	no	—
679	C₂×C₃×C₄	—	2	1	no	—
680	C₂×C₃×C₄	—	2	1	no	—
681	C₂×C₃×C₄	—	2	1	no	—
682	C₂×C₃×C₄	—	2	1	no	—
683	C₂×C₃×C₄	—	4	4	no	—
684	C₂×C₃×C₄	—	4	4	no	—
685	C₂×C₃×C₄	—	4	4	no	—
686	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
687	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
688	C₂×C₃×C₄	C₂×C₅×D₄	1	2	yes	—
689	C₂²×C₅	—	2	2	no	—
690	C₂²×C₅	—	2	2	no	—
691	C₂²×C₅	—	2	2	no	—
692	C₂²×C₅	—	2	2	no	—
693	C₂²×C₅	—	2	2	no	—
694	C₂²×C₅	—	2	2	no	—
695	C₂²×C₅	—	2	2	no	—
696	C₂²×C₅	—	2	2	no	—
697	C₂²×C₅	—	2	2	no	—
698	C₂²×C₅	—	2	2	no	—
699	C₂²×C₅	—	2	2	no	—
700	C₂²×C₅	—	2	2	no	—
701	C₂²×C₅	—	2	2	no	—
702	C₂²×C₅	—	2	2	no	—
703	C₂²×C₅	—	2	2	no	—
704	C₂²×C₅	—	4	16	no	—
705	C₂²×C₅	—	4	1	no	—
706	C₂²×C₅	—	4	1	no	—
707	C₂²×C₅	—	4	1	no	—
708	C₂²×C₅	—	4	1	no	—
709	C₂²×C₅	—	4	1	no	—
710	C₂²×C₅	—	4	1	no	—
711	C₂²×C₅	—	4	1	no	—
712	C₂²×C₅	—	4	1	no	—
713	C₂²×C₅	—	4	1	no	—
714	C₂²×C₅	—	4	1	no	—
715	C₂²×C₅	—	4	1	no	—
716	C₂²×C₅	—	4	1	no	—
717	C₂²×C₅	C₃×#123	1	4	yes	complemented
718	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
719	C₂²×C₅	C₂²×C₃×D₄	1	1	yes	characteristic
720	C₂²×C₅	C₂×C₃×#41	1	1	yes	characteristic
721	C₂²×C₅	C₂×C₃×#41	1	1	yes	characteristic
722	C₂²×C₅	C₂×C₃×#41	1	1	yes	characteristic
723	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
724	C₂²×C₅	C₃×H(5,𝔽₂)	1	1	yes	characteristic
725	C₄×C₅	—	2	2	no	—
726	C₄×C₅	—	2	2	no	—
727	C₄×C₅	—	2	2	no	—
728	C₄×C₅	—	4	1	no	—
729	C₄×C₅	—	4	1	no	—
730	C₄×C₅	—	4	1	no	—
731	C₄×C₅	—	4	1	no	—
732	C₄×C₅	—	4	1	no	—
733	C₄×C₅	—	4	1	no	—
734	C₄×C₅	—	4	1	no	—
735	C₄×C₅	—	4	1	no	—
736	C₂⁴	—	2	2	no	—
737	C₂⁴	—	2	2	no	—
738	C₂⁴	—	2	2	no	—
739	C₂⁴	—	2	2	no	—
740	C₂⁴	—	2	2	no	—
741	C₂⁴	—	4	1	no	—
742	C₂⁴	—	4	1	no	—
743	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
744	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
745	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
746	C₂⁴	C₂³×C₃×C₅	1	1	yes	characteristic
747	C₂×D₄	—	2	2	no	—
748	C₂×D₄	—	2	2	no	—
749	C₂×D₄	—	2	2	no	—
750	C₂×D₄	—	2	2	no	—
751	C₂×D₄	—	2	2	no	—
752	C₂×D₄	—	2	2	no	—
753	C₂×D₄	—	4	1	no	—
754	C₂×D₄	—	4	1	no	—
755	C₂×D₄	C₃×C₅×D₄	1	4	yes	—
756	C₂²×C₄	—	2	2	no	—
757	C₂²×C₄	—	2	2	no	—
758	C₂²×C₄	—	2	2	no	—
759	C₂²×C₄	—	2	2	no	—
760	C₂²×C₄	—	2	2	no	—
761	C₂²×C₄	—	2	2	no	—
762	C₂²×C₄	—	4	1	no	—
763	C₂²×C₄	—	4	1	no	—
764	C₂²×C₄	—	4	1	no	—
765	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
766	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
767	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
768	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
769	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
770	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
771	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
772	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
773	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
774	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
775	C₂²×C₄	C₂³×C₃×C₅	1	1	yes	characteristic
776	C₄⋊C₄	—	2	2	no	—
777	C₄⋊C₄	—	2	2	no	—
778	C₄⋊C₄	—	2	2	no	—
779	C₄⋊C₄	—	4	1	no	—
780	C₄⋊C₄	—	4	1	no	—
781	C₂²⋊C₄	—	2	2	no	—
782	C₂²⋊C₄	—	2	2	no	—
783	C₂²⋊C₄	—	2	2	no	—
784	C₂²⋊C₄	—	2	2	no	—
785	C₂²⋊C₄	—	2	2	no	—
786	C₂²⋊C₄	—	2	2	no	—
787	C₂²⋊C₄	—	2	2	no	—
788	C₂²⋊C₄	—	2	2	no	—
789	C₂²⋊C₄	—	2	2	no	—
790	C₂²⋊C₄	—	2	2	no	—
791	C₂²⋊C₄	—	2	2	no	—
792	C₂²⋊C₄	—	2	2	no	—
793	C₂²⋊C₄	—	4	1	no	—
794	C₂²⋊C₄	—	4	1	no	—
795	C₂²⋊C₄	—	4	1	no	—
796	C₂²⋊C₄	C₃×C₅×D₄	1	4	yes	complemented
797	C₄²	—	2	2	no	—
798	C₃×C₅	#2418	1	1	yes	characteristic, direct product factor, Hall
799	C₂²×C₃	—	2	2	no	—
800	C₂²×C₃	—	2	2	no	—
801	C₂²×C₃	—	2	2	no	—
802	C₂²×C₃	—	2	2	no	—
803	C₂²×C₃	—	2	2	no	—
804	C₂²×C₃	—	2	2	no	—
805	C₂²×C₃	—	2	2	no	—
806	C₂²×C₃	—	2	2	no	—
807	C₂²×C₃	—	2	2	no	—
808	C₂²×C₃	—	2	2	no	—
809	C₂²×C₃	—	2	2	no	—
810	C₂²×C₃	—	2	2	no	—
811	C₂²×C₃	—	2	2	no	—
812	C₂²×C₃	—	2	2	no	—
813	C₂²×C₃	—	2	2	no	—
814	C₂²×C₃	—	4	16	no	—
815	C₂²×C₃	—	4	1	no	—
816	C₂²×C₃	—	4	1	no	—
817	C₂²×C₃	—	4	1	no	—
818	C₂²×C₃	—	4	1	no	—
819	C₂²×C₃	—	4	1	no	—
820	C₂²×C₃	—	4	1	no	—
821	C₂²×C₃	—	4	1	no	—
822	C₂²×C₃	—	4	1	no	—
823	C₂²×C₃	—	4	1	no	—
824	C₂²×C₃	—	4	1	no	—
825	C₂²×C₃	—	4	1	no	—
826	C₂²×C₃	—	4	1	no	—
827	C₂²×C₃	C₅×#123	1	4	yes	complemented
828	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
829	C₂²×C₃	C₂²×C₅×D₄	1	1	yes	characteristic
830	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
831	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
832	C₂²×C₃	C₂×C₅×#41	1	1	yes	characteristic
833	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
834	C₂²×C₃	C₅×H(5,𝔽₂)	1	1	yes	characteristic
835	C₃×C₄	—	2	2	no	—
836	C₃×C₄	—	2	2	no	—
837	C₃×C₄	—	2	2	no	—
838	C₃×C₄	—	4	1	no	—
839	C₃×C₄	—	4	1	no	—
840	C₃×C₄	—	4	1	no	—
841	C₃×C₄	—	4	1	no	—
842	C₃×C₄	—	4	1	no	—
843	C₃×C₄	—	4	1	no	—
844	C₃×C₄	—	4	1	no	—
845	C₃×C₄	—	4	1	no	—
846	C₂×C₅	—	2	4	no	—
847	C₂×C₅	—	4	2	no	—
848	C₂×C₅	—	4	2	no	—
849	C₂×C₅	—	4	2	no	—
850	C₂×C₅	C₂×C₃×#123	1	1	yes	characteristic
851	C₂×C₅	C₃×#525	1	1	yes	characteristic
852	C₂×C₅	C₃×#538	1	1	yes	characteristic
853	C₂×C₅	C₃×D₄²	1	1	yes	characteristic
854	C₂×C₅	C₃×#546	1	1	yes	characteristic
855	C₂×C₅	C₃×#546	1	1	yes	characteristic
856	C₂×C₅	C₃×#551	1	1	yes	characteristic
857	C₂³	—	2	1	no	—
858	C₂³	—	2	1	no	—
859	C₂³	—	2	1	no	—
860	C₂³	—	2	1	no	—
861	C₂³	—	2	8	no	—
862	C₂³	—	2	1	no	—
863	C₂³	—	2	1	no	—
864	C₂³	—	2	1	no	—
865	C₂³	—	2	1	no	—
866	C₂³	—	2	1	no	—
867	C₂³	—	2	1	no	—
868	C₂³	—	2	1	no	—
869	C₂³	—	2	1	no	—
870	C₂³	—	2	1	no	—
871	C₂³	—	2	1	no	—
872	C₂³	—	2	1	no	—
873	C₂³	—	2	1	no	—
874	C₂³	—	2	1	no	—
875	C₂³	—	2	1	no	—
876	C₂³	—	2	1	no	—
877	C₂³	—	2	1	no	—
878	C₂³	—	2	1	no	—
879	C₂³	—	2	1	no	—
880	C₂³	—	4	4	no	—
881	C₂³	—	4	4	no	—
882	C₂³	—	4	4	no	—
883	C₂³	—	4	4	no	—
884	C₂³	—	4	4	no	—
885	C₂³	—	4	4	no	—
886	C₂³	C₂×C₃×C₅×D₄	1	2	yes	—
887	C₂³	C₂×C₃×C₅×D₄	1	2	yes	—
888	C₂³	C₂×C₃×C₅×D₄	1	2	yes	—
889	C₂³	C₃×C₅×#41	1	2	yes	—
890	C₂³	C₃×C₅×#41	1	2	yes	—
891	C₂³	C₃×C₅×#41	1	2	yes	—
892	C₂³	C₂⁴×C₃×C₅	1	1	yes	characteristic
893	D₄	—	2	8	no	—
894	D₄	—	4	4	no	—
895	D₄	—	4	4	no	—
896	C₂×C₄	—	2	1	no	—
897	C₂×C₄	—	2	1	no	—
898	C₂×C₄	—	2	1	no	—
899	C₂×C₄	—	2	1	no	—
900	C₂×C₄	—	2	1	no	—
901	C₂×C₄	—	2	1	no	—
902	C₂×C₄	—	2	1	no	—
903	C₂×C₄	—	2	1	no	—
904	C₂×C₄	—	2	1	no	—
905	C₂×C₄	—	2	1	no	—
906	C₂×C₄	—	2	1	no	—
907	C₂×C₄	—	2	1	no	—
908	C₂×C₄	—	2	1	no	—
909	C₂×C₄	—	2	1	no	—
910	C₂×C₄	—	2	1	no	—
911	C₂×C₄	—	2	1	no	—
912	C₂×C₄	—	2	1	no	—
913	C₂×C₄	—	2	1	no	—
914	C₂×C₄	—	2	1	no	—
915	C₂×C₄	—	2	1	no	—
916	C₂×C₄	—	2	1	no	—
917	C₂×C₄	—	2	1	no	—
918	C₂×C₄	—	2	1	no	—
919	C₂×C₄	—	2	1	no	—
920	C₂×C₄	—	2	1	no	—
921	C₂×C₄	—	2	1	no	—
922	C₂×C₄	—	2	1	no	—
923	C₂×C₄	—	2	1	no	—
924	C₂×C₄	—	2	1	no	—
925	C₂×C₄	—	2	1	no	—
926	C₂×C₄	—	4	4	no	—
927	C₂×C₄	—	4	4	no	—
928	C₂×C₄	—	4	4	no	—
929	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
930	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
931	C₂×C₄	C₂×C₃×C₅×D₄	1	2	yes	—
932	C₂×C₃	—	2	4	no	—
933	C₂×C₃	—	4	2	no	—
934	C₂×C₃	—	4	2	no	—
935	C₂×C₃	—	4	2	no	—
936	C₂×C₃	C₂×C₅×#123	1	1	yes	characteristic
937	C₂×C₃	C₅×#525	1	1	yes	characteristic
938	C₂×C₃	C₅×#538	1	1	yes	characteristic
939	C₂×C₃	C₅×D₄²	1	1	yes	characteristic
940	C₂×C₃	C₅×#546	1	1	yes	characteristic
941	C₂×C₃	C₅×#546	1	1	yes	characteristic
942	C₂×C₃	C₅×#551	1	1	yes	characteristic
943	C₅	C₃×#2418	1	1	yes	characteristic, direct product factor, Sylow
944	C₂²	—	2	2	no	—
945	C₂²	—	2	2	no	—
946	C₂²	—	2	2	no	—
947	C₂²	—	2	2	no	—
948	C₂²	—	2	2	no	—
949	C₂²	—	2	2	no	—
950	C₂²	—	2	2	no	—
951	C₂²	—	2	2	no	—
952	C₂²	—	2	2	no	—
953	C₂²	—	2	2	no	—
954	C₂²	—	2	2	no	—
955	C₂²	—	2	2	no	—
956	C₂²	—	2	2	no	—
957	C₂²	—	2	2	no	—
958	C₂²	—	2	2	no	—
959	C₂²	—	4	16	no	—
960	C₂²	—	4	1	no	—
961	C₂²	—	4	1	no	—
962	C₂²	—	4	1	no	—
963	C₂²	—	4	1	no	—
964	C₂²	—	4	1	no	—
965	C₂²	—	4	1	no	—
966	C₂²	—	4	1	no	—
967	C₂²	—	4	1	no	—
968	C₂²	—	4	1	no	—
969	C₂²	—	4	1	no	—
970	C₂²	—	4	1	no	—
971	C₂²	—	4	1	no	—
972	C₂²	C₃×C₅×#123	1	4	yes	complemented
973	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
974	C₂²	C₂²×C₃×C₅×D₄	1	1	yes	characteristic
975	C₂²	C₂×C₃×C₅×#41	1	1	yes	characteristic
976	C₂²	C₂×C₃×C₅×#41	1	1	yes	characteristic
977	C₂²	C₂×C₃×C₅×#41	1	1	yes	characteristic
978	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
979	C₂²	C₃×C₅×H(5,𝔽₂)	1	1	yes	characteristic
980	C₄	—	2	2	no	—
981	C₄	—	2	2	no	—
982	C₄	—	2	2	no	—
983	C₄	—	4	1	no	—
984	C₄	—	4	1	no	—
985	C₄	—	4	1	no	—
986	C₄	—	4	1	no	—
987	C₄	—	4	1	no	—
988	C₄	—	4	1	no	—
989	C₄	—	4	1	no	—
990	C₄	—	4	1	no	—
991	C₃	C₅×#2418	1	1	yes	characteristic, direct product factor, Sylow
992	C₂	—	2	4	no	—
993	C₂	—	4	2	no	—
994	C₂	—	4	2	no	—
995	C₂	—	4	2	no	—
996	C₂	C₂×C₃×C₅×#123	1	1	yes	characteristic
997	C₂	C₃×C₅×#525	1	1	yes	characteristic
998	C₂	C₃×C₅×#538	1	1	yes	characteristic
999	C₂	C₃×C₅×D₄²	1	1	yes	characteristic
1000	C₂	C₃×C₅×#546	1	1	yes	characteristic
1001	C₂	C₃×C₅×#546	1	1	yes	characteristic
1002	C₂	C₃×C₅×#551	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×#123	C₂	semidirect
3. C₂×C₃×C₄×C₅×D₄	C₂	semidirect
4. C₂²×C₃×C₅×C₂²⋊C₄	C₂	semidirect
5. C₃×C₅×#399	C₂	semidirect
6. C₃×C₅×#397	C₂	semidirect
7. C₃×C₅×#394	C₂	semidirect
8. C₃×C₅×#394	C₂	semidirect
9. C₃×C₅×#388	C₂	semidirect
10. C₃×C₅×#388	C₂	semidirect
11. C₃×C₅×#386	C₂	semidirect
12. C₃×C₅×#386	C₂	semidirect
13. C₃×C₅×#385	C₂	semidirect
14. C₃×C₅×#380	C₂	semidirect
15. C₃×C₅×#379	C₂	semidirect
16. C₅×#2418	C₃	direct (N × H)
23. C₂³×C₃×C₄×C₅	C₂²	semidirect
27. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
28. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
29. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
30. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
31. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
46. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
47. C₂×C₃×C₅×C₂²⋊C₄	C₂²	semidirect
48. C₂×C₃×C₅×C₂²⋊C₄	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×C₅×#95	C₂²	semidirect
55. C₃×C₅×#95	C₂²	semidirect
56. C₃×#2418	C₅	direct (N × H)
57. C₂×C₅×#123	C₂×C₃	semidirect
59. C₂×C₄×C₅×D₄	C₂×C₃	semidirect
60. C₂²×C₅×C₂²⋊C₄	C₂×C₃	semidirect
61. C₅×#399	C₂×C₃	semidirect
62. C₅×#397	C₂×C₃	semidirect
63. C₅×#394	C₂×C₃	semidirect
64. C₅×#394	C₂×C₃	semidirect
65. C₅×#388	C₂×C₃	semidirect
66. C₅×#388	C₂×C₃	semidirect
67. C₅×#386	C₂×C₃	semidirect
68. C₅×#386	C₂×C₃	semidirect
69. C₅×#385	C₂×C₃	semidirect
70. C₅×#380	C₂×C₃	semidirect
71. C₅×#379	C₂×C₃	semidirect
132. C₃×C₅×C₂²⋊C₄	D₄	semidirect
134. C₂×C₃×#123	C₂×C₅	semidirect
136. C₂×C₃×C₄×D₄	C₂×C₅	semidirect
137. C₂²×C₃×C₂²⋊C₄	C₂×C₅	semidirect
138. C₃×#399	C₂×C₅	semidirect
139. C₃×#397	C₂×C₅	semidirect
140. C₃×#394	C₂×C₅	semidirect
141. C₃×#394	C₂×C₅	semidirect
142. C₃×#388	C₂×C₅	semidirect
143. C₃×#388	C₂×C₅	semidirect
144. C₃×#386	C₂×C₅	semidirect
145. C₃×#386	C₂×C₅	semidirect
146. C₃×#385	C₂×C₅	semidirect
147. C₃×#380	C₂×C₅	semidirect
148. C₃×#379	C₂×C₅	semidirect
155. C₂³×C₄×C₅	C₂²×C₃	semidirect
159. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
160. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
161. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
162. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
163. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
178. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
179. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
180. C₂×C₅×C₂²⋊C₄	C₂²×C₃	semidirect
181. C₂×C₄²×C₅	C₂²×C₃	semidirect
182. C₅×#95	C₂²×C₃	semidirect
183. C₅×#95	C₂²×C₃	semidirect
184. C₅×#95	C₂²×C₃	semidirect
185. C₅×#95	C₂²×C₃	semidirect
186. C₅×#95	C₂²×C₃	semidirect
187. C₅×#95	C₂²×C₃	semidirect
188. #2418	C₃×C₅	direct (N × H)
270. C₂³×C₃×C₄	C₂²×C₅	semidirect
274. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
275. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
276. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
277. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
278. C₂×C₃×C₄⋊C₄	C₂²×C₅	semidirect
293. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
294. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
295. C₂×C₃×C₂²⋊C₄	C₂²×C₅	semidirect
296. C₂×C₃×C₄²	C₂²×C₅	semidirect
297. C₃×#95	C₂²×C₅	semidirect
298. C₃×#95	C₂²×C₅	semidirect
299. C₃×#95	C₂²×C₅	semidirect
300. C₃×#95	C₂²×C₅	semidirect
301. C₃×#95	C₂²×C₅	semidirect
302. C₃×#95	C₂²×C₅	semidirect
363. C₅×C₂²⋊C₄	C₃×D₄	semidirect
365. C₂×#123	C₂×C₃×C₅	semidirect
367. C₂×C₄×D₄	C₂×C₃×C₅	semidirect
368. C₂²×C₂²⋊C₄	C₂×C₃×C₅	semidirect
369. #399	C₂×C₃×C₅	semidirect
370. #397	C₂×C₃×C₅	semidirect
371. #394	C₂×C₃×C₅	semidirect
372. #394	C₂×C₃×C₅	semidirect
373. #388	C₂×C₃×C₅	semidirect
374. #388	C₂×C₃×C₅	semidirect
375. #386	C₂×C₃×C₅	semidirect
376. #386	C₂×C₃×C₅	semidirect
377. #385	C₂×C₃×C₅	semidirect
378. #380	C₂×C₃×C₅	semidirect
379. #379	C₂×C₃×C₅	semidirect
408. C₂²×C₃×C₅	#123	semidirect
487. C₃×C₂²⋊C₄	C₅×D₄	semidirect
570. C₂³×C₄	C₂²×C₃×C₅	semidirect
574. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
575. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
576. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
577. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
578. C₂×C₄⋊C₄	C₂²×C₃×C₅	semidirect
593. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
594. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
595. C₂×C₂²⋊C₄	C₂²×C₃×C₅	semidirect
596. C₂×C₄²	C₂²×C₃×C₅	semidirect
597. #95	C₂²×C₃×C₅	semidirect
598. #95	C₂²×C₃×C₅	semidirect
599. #95	C₂²×C₃×C₅	semidirect
600. #95	C₂²×C₃×C₅	semidirect
601. #95	C₂²×C₃×C₅	semidirect
602. #95	C₂²×C₃×C₅	semidirect
717. C₂²×C₅	C₃×#123	semidirect
796. C₂²⋊C₄	C₃×C₅×D₄	semidirect
798. C₃×C₅	#2418	direct (N × H)
827. C₂²×C₃	C₅×#123	semidirect
943. C₅	C₃×#2418	direct (N × H)
972. C₂²	C₃×C₅×#123	semidirect
991. C₃	C₅×#2418	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×#123	2
C₂×C₃×C₅×#120	2
C₂×C₃×C₄×C₅×D₄	2
C₂²×C₃×C₅×C₂²⋊C₄	2
C₃×C₅×#399	2
C₃×C₅×#397	2
C₃×C₅×#394	2
C₃×C₅×#388	2
C₃×C₅×#386	2
C₃×C₅×#385	2
C₃×C₅×#380	2
C₃×C₅×#379	2
C₅×#2418	3
C₃×#2418	5

Subgroups — C3×C5×#2418 #14275452

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×C₅×#2418 #14275452