Subgroups — C₃×D₅×#553 #14483590

Order 1920.

2504 conjugacy classes of subgroups.

The subgroup lattice has 1412 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#66043	C₂	1	2	yes	maximal, complemented
3	C₃×D₅×#126	C₂	1	2	yes	maximal, complemented
4	C₃×#66029	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×D₅×#125	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#65995	C₂	1	2	yes	maximal, complemented
7	C₃×D₅×#123	C₂	1	2	yes	maximal, complemented
8	C₃×#65952	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#65948	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×D₅×#121	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×D₅×#121	C₂	1	2	yes	maximal, complemented
13	C₃×#65935	C₂	1	2	yes	maximal, complemented
14	C₃×#65899	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#65892	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×C₄×D₄×D₅	C₂	1	2	yes	maximal, complemented
18	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#65874	C₂	1	2	yes	maximal, complemented
20	C₃×#65864	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×D₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#65848	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₃×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#553	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
25	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
26	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
27	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
28	C₂×C₃×D₄×D₅	C₂²	1	2	yes	—
29	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
30	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
31	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	—
32	C₂²×C₃×C₄×D₅	C₂²	1	2	yes	—
33	C₃×C₅×#126	C₂²	1	2	yes	complemented
34	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
35	C₃×C₅×#123	C₂²	1	2	yes	complemented
36	C₃×C₅×#121	C₂²	1	2	yes	complemented
37	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₅×#121	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₄×C₅×D₄	C₂²	1	2	yes	complemented
40	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
43	C₂×C₃×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
44	C₃×#4085	C₂²	1	2	yes	complemented
45	C₃×#4085	C₂²	1	2	yes	complemented
46	C₃×#4085	C₂²	1	2	yes	complemented
47	C₃×#4085	C₂²	1	2	yes	complemented
48	C₃×#4084	C₂²	1	1	yes	characteristic, complemented
49	C₃×#4084	C₂²	1	1	yes	characteristic, complemented
50	C₃×#4084	C₂²	1	2	yes	complemented
51	C₃×#4081	C₂²	1	2	yes	complemented
52	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
53	C₃×D₄×Dic₅	C₂²	1	2	yes	complemented
54	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
55	C₃×#4076	C₂²	1	2	yes	complemented
56	C₃×#4076	C₂²	1	1	yes	characteristic, complemented
57	C₃×#4076	C₂²	1	1	yes	characteristic, complemented
58	C₃×#4075	C₂²	1	2	yes	complemented
59	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
60	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
61	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
62	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
63	C₃×C₄×C₂²⋊D₅	C₂²	1	2	yes	complemented
64	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
65	C₂×C₃×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
66	C₂×C₃×#683	C₂²	1	2	yes	complemented
67	C₃×#4044	C₂²	1	2	yes	complemented
68	C₃×#4044	C₂²	1	2	yes	complemented
69	C₃×#4044	C₂²	1	2	yes	complemented
70	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
71	C₃×#4041	C₂²	1	1	yes	characteristic, complemented
72	C₃×#4041	C₂²	1	2	yes	complemented
73	C₃×#4040	C₂²	1	2	yes	complemented
74	C₃×#4040	C₂²	1	2	yes	complemented
75	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
76	C₃×#4039	C₂²	1	2	yes	complemented
77	C₃×#4039	C₂²	1	1	yes	characteristic, complemented
78	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
80	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
81	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
82	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
83	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
84	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
85	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
86	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	—
87	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
88	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
89	C₃×D₅×C₄⋊C₄	C₂²	1	2	yes	complemented
90	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
91	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
92	C₃×#4035	C₂²	1	2	yes	complemented
93	C₃×#4035	C₂²	1	2	yes	complemented
94	C₃×#4032	C₂²	1	2	yes	complemented
95	C₃×#4030	C₂²	1	2	yes	complemented
96	C₃×#4030	C₂²	1	2	yes	complemented
97	C₃×#4030	C₂²	1	2	yes	complemented
98	C₃×#4030	C₂²	1	2	yes	complemented
99	C₃×#4029	C₂²	1	2	yes	complemented
100	C₃×#4029	C₂²	1	2	yes	complemented
101	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
102	C₃×#4027	C₂²	1	2	yes	complemented
103	C₃×#4027	C₂²	1	2	yes	complemented
104	C₃×#4027	C₂²	1	2	yes	complemented
105	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
106	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
107	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
108	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
109	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
110	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
111	C₃×D₅×C₂²⋊C₄	C₂²	1	2	yes	—
112	C₃×#4025	C₂²	1	2	yes	complemented
113	C₃×#4025	C₂²	1	2	yes	complemented
114	C₃×#4025	C₂²	1	2	yes	complemented
115	C₃×#4023	C₂²	1	2	yes	complemented
116	C₃×#4022	C₂²	1	2	yes	complemented
117	C₃×C₄×D₂₀	C₂²	1	2	yes	complemented
118	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
119	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
120	C₃×#4018	C₂²	1	2	yes	complemented
121	C₃×C₄²×D₅	C₂²	1	2	yes	—
122	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
123	C₃×#4016	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₃×#553	—	5	1	no	maximal, Hall
125	C₅×#553	C₂×C₃	1	1	yes	characteristic, complemented
126	#66043	C₂×C₃	1	2	yes	complemented
127	D₅×#126	C₂×C₃	1	2	yes	complemented
128	#66029	C₂×C₃	1	1	yes	characteristic, complemented
129	D₅×#125	C₂×C₃	1	1	yes	characteristic, complemented
130	#65995	C₂×C₃	1	2	yes	complemented
131	D₅×#123	C₂×C₃	1	2	yes	complemented
132	#65952	C₂×C₃	1	1	yes	characteristic, complemented
133	#65948	C₂×C₃	1	1	yes	characteristic, complemented
134	D₅×#121	C₂×C₃	1	2	yes	complemented
135	D₅×#121	C₂×C₃	1	1	yes	characteristic, complemented
136	D₅×#121	C₂×C₃	1	1	yes	characteristic, complemented
137	#65935	C₂×C₃	1	2	yes	complemented
138	#65899	C₂×C₃	1	1	yes	characteristic, complemented
139	#65892	C₂×C₃	1	1	yes	characteristic, complemented
140	C₄×D₄×D₅	C₂×C₃	1	2	yes	complemented
141	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
142	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
143	#65874	C₂×C₃	1	2	yes	complemented
144	#65864	C₂×C₃	1	1	yes	characteristic, complemented
145	D₅×#117	C₂×C₃	1	1	yes	characteristic, complemented
146	#65848	C₂×C₃	1	1	yes	characteristic, complemented
147	C₂×D₅×C₄⋊C₄	C₂×C₃	1	1	yes	characteristic, complemented
148	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
149	C₂³×C₃×D₅	C₂³	1	2	yes	—
150	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
151	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
152	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
153	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
154	C₂×C₃×C₅×D₄	C₂³	1	2	yes	—
155	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
156	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
157	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
158	C₂²×C₃×C₄×C₅	C₂³	1	2	yes	—
159	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
160	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
161	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
162	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
163	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
164	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
165	C₂×C₃×C₂²⋊D₅	C₂³	1	2	yes	—
166	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
167	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
168	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
169	C₂²×C₃×Dic₅	C₂³	1	2	yes	—
170	C₃×D₄×D₅	—	2	8	no	—
171	C₃×D₄×D₅	—	2	4	no	—
172	C₃×D₄×D₅	—	2	4	no	—
173	C₃×D₄×D₅	—	4	4	no	—
174	C₂×C₃×D₂₀	C₂³	1	2	yes	—
175	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
176	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
177	C₂×C₃×D₂₀	C₂³	1	2	yes	—
178	C₂×C₃×C₄×D₅	—	2	4	no	—
179	C₂×C₃×C₄×D₅	—	2	4	no	—
180	C₂×C₃×C₄×D₅	—	4	4	no	—
181	C₂×C₃×C₄×D₅	—	4	4	no	—
182	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
183	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
184	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
185	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
186	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
187	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
188	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
189	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
191	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
192	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
193	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
194	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
195	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
196	C₂×C₃×C₄×D₅	C₂³	1	2	yes	—
197	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
198	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
201	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
203	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₃×C₅×C₄⋊C₄	C₂³	1	2	yes	—
205	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
206	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
207	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
208	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
209	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
210	C₃×C₅×C₂²⋊C₄	C₂³	1	2	yes	—
211	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
212	C₃×C₄²×C₅	C₂³	1	2	yes	—
213	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
214	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
215	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
216	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
217	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
218	C₃×C₂²⋊Dic₅	C₂³	1	2	yes	—
219	C₃×#685	C₂³	1	2	yes	—
220	C₃×#685	C₂³	1	2	yes	—
221	C₃×#685	C₂³	1	2	yes	—
222	C₃×#685	C₂³	1	2	yes	—
223	C₃×#685	C₂³	1	2	yes	—
224	C₃×#685	C₂³	1	1	yes	characteristic
225	C₃×#685	C₂³	1	2	yes	—
226	C₃×#685	C₂³	1	1	yes	characteristic
227	C₃×#685	C₂³	1	1	yes	characteristic
228	C₃×#685	C₂³	1	2	yes	—
229	C₃×#685	C₂³	1	2	yes	—
230	C₃×#685	C₂³	1	1	yes	characteristic
231	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
232	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
233	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
234	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
235	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
237	C₃×C₄⋊Dic₅	C₂³	1	2	yes	—
238	C₃×#683	C₂³	1	2	yes	—
239	C₃×#683	C₂³	1	2	yes	—
240	C₃×#683	C₂³	1	2	yes	—
241	C₃×#683	C₂³	1	2	yes	—
242	C₃×#683	C₂³	1	2	yes	—
243	C₃×#683	C₂³	1	2	yes	—
244	C₃×#683	C₂³	1	2	yes	—
245	C₃×#683	C₂³	1	2	yes	—
246	C₃×#683	C₂³	1	1	yes	characteristic
247	C₃×#683	C₂³	1	2	yes	—
248	C₃×#683	C₂³	1	1	yes	characteristic
249	C₃×C₄×Dic₅	C₂³	1	2	yes	—
250	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
251	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
252	C₃×C₄×Dic₅	C₂³	1	2	yes	—
253	C₃×C₄×Dic₅	C₂³	1	2	yes	—
254	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
255	C₃×#553	—	5	2	no	—
256	C₃×#553	—	5	1	no	—
257	C₃×#553	—	5	2	no	—
258	C₃×#553	—	5	2	no	—
259	C₃×#553	—	5	1	no	—
260	C₃×#553	—	5	1	no	—
261	C₃×#553	—	5	2	no	—
262	C₃×#553	—	5	1	no	—
263	C₃×#553	—	5	1	no	—
264	C₃×#553	—	5	1	no	—
265	C₃×#553	—	5	1	no	—
266	C₃×#553	D₅	1	1	yes	characteristic, direct product factor
267	C₂×C₃×#126	—	5	2	no	—
268	C₂×C₃×#125	—	5	1	no	—
269	C₂×C₃×#123	—	5	2	no	—
270	C₂×C₃×#121	—	5	2	no	—
271	C₂×C₃×#121	—	5	1	no	—
272	C₂×C₃×#121	—	5	1	no	—
273	C₂×C₃×C₄×D₄	—	5	2	no	—
274	C₂×C₃×C₄×D₄	—	5	1	no	—
275	C₂×C₃×C₄×D₄	—	5	1	no	—
276	C₂×C₃×#117	—	5	1	no	—
277	C₂²×C₃×C₄⋊C₄	—	5	1	no	—
278	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
279	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
280	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
281	C₂×D₄×D₅	C₂²×C₃	1	2	yes	—
282	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
283	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
284	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	—
285	C₂²×C₄×D₅	C₂²×C₃	1	2	yes	—
286	C₅×#126	C₂²×C₃	1	2	yes	complemented
287	C₅×#125	C₂²×C₃	1	1	yes	characteristic, complemented
288	C₅×#123	C₂²×C₃	1	2	yes	complemented
289	C₅×#121	C₂²×C₃	1	2	yes	complemented
290	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
291	C₅×#121	C₂²×C₃	1	1	yes	characteristic, complemented
292	C₄×C₅×D₄	C₂²×C₃	1	2	yes	complemented
293	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
294	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
295	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
296	C₂×C₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
297	#4085	C₂²×C₃	1	2	yes	complemented
298	#4085	C₂²×C₃	1	2	yes	complemented
299	#4085	C₂²×C₃	1	2	yes	complemented
300	#4085	C₂²×C₃	1	2	yes	complemented
301	#4084	C₂²×C₃	1	1	yes	characteristic, complemented
302	#4084	C₂²×C₃	1	1	yes	characteristic, complemented
303	#4084	C₂²×C₃	1	2	yes	complemented
304	#4081	C₂²×C₃	1	2	yes	complemented
305	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
306	D₄×Dic₅	C₂²×C₃	1	2	yes	complemented
307	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
308	#4076	C₂²×C₃	1	2	yes	complemented
309	#4076	C₂²×C₃	1	1	yes	characteristic, complemented
310	#4076	C₂²×C₃	1	1	yes	characteristic, complemented
311	#4075	C₂²×C₃	1	2	yes	complemented
312	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
313	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
314	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
315	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
316	C₄×C₂²⋊D₅	C₂²×C₃	1	2	yes	complemented
317	#4072	C₂²×C₃	1	1	yes	characteristic, complemented
318	C₂×C₄⋊Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
319	C₂×#683	C₂²×C₃	1	2	yes	complemented
320	#4044	C₂²×C₃	1	2	yes	complemented
321	#4044	C₂²×C₃	1	2	yes	complemented
322	#4044	C₂²×C₃	1	2	yes	complemented
323	#4041	C₂²×C₃	1	1	yes	characteristic, complemented
324	#4041	C₂²×C₃	1	1	yes	characteristic, complemented
325	#4041	C₂²×C₃	1	2	yes	complemented
326	#4040	C₂²×C₃	1	2	yes	complemented
327	#4040	C₂²×C₃	1	2	yes	complemented
328	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
329	#4039	C₂²×C₃	1	2	yes	complemented
330	#4039	C₂²×C₃	1	1	yes	characteristic, complemented
331	#4038	C₂²×C₃	1	1	yes	characteristic, complemented
332	#4038	C₂²×C₃	1	1	yes	characteristic, complemented
333	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
334	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
335	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
336	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
337	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
338	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
339	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	—
340	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
341	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
342	D₅×C₄⋊C₄	C₂²×C₃	1	2	yes	complemented
343	#4036	C₂²×C₃	1	1	yes	characteristic, complemented
344	#4036	C₂²×C₃	1	1	yes	characteristic, complemented
345	#4035	C₂²×C₃	1	2	yes	complemented
346	#4035	C₂²×C₃	1	2	yes	complemented
347	#4032	C₂²×C₃	1	2	yes	complemented
348	#4030	C₂²×C₃	1	2	yes	complemented
349	#4030	C₂²×C₃	1	2	yes	complemented
350	#4030	C₂²×C₃	1	2	yes	complemented
351	#4030	C₂²×C₃	1	2	yes	complemented
352	#4029	C₂²×C₃	1	2	yes	complemented
353	#4029	C₂²×C₃	1	2	yes	complemented
354	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
355	#4027	C₂²×C₃	1	2	yes	complemented
356	#4027	C₂²×C₃	1	2	yes	complemented
357	#4027	C₂²×C₃	1	2	yes	complemented
358	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
359	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
360	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
361	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
362	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
363	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
364	D₅×C₂²⋊C₄	C₂²×C₃	1	2	yes	—
365	#4025	C₂²×C₃	1	2	yes	complemented
366	#4025	C₂²×C₃	1	2	yes	complemented
367	#4025	C₂²×C₃	1	2	yes	complemented
368	#4023	C₂²×C₃	1	2	yes	complemented
369	#4022	C₂²×C₃	1	2	yes	complemented
370	C₄×D₂₀	C₂²×C₃	1	2	yes	complemented
371	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
372	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
373	#4018	C₂²×C₃	1	2	yes	complemented
374	C₄²×D₅	C₂²×C₃	1	2	yes	—
375	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
376	#4016	C₂²×C₃	1	1	yes	characteristic, complemented
377	C₂×#553	—	5	1	no	Sylow
378	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
379	C₂³×C₃×C₅	C₂⁴	1	2	yes	—
380	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
381	C₂²×C₃×D₅	—	2	2	no	—
382	C₂²×C₃×D₅	—	2	2	no	—
383	C₂²×C₃×D₅	—	2	2	no	—
384	C₂²×C₃×D₅	—	2	2	no	—
385	C₂²×C₃×D₅	—	2	4	no	—
386	C₂²×C₃×D₅	—	2	4	no	—
387	C₂²×C₃×D₅	—	2	4	no	—
388	C₂²×C₃×D₅	—	2	2	no	—
389	C₂²×C₃×D₅	#41	1	4	yes	—
390	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
391	C₂²×C₃×D₅	C₂⁴	1	2	yes	—
392	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
393	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
394	C₃×C₅×D₄	—	2	2	no	—
395	C₃×C₅×D₄	—	2	4	no	—
396	C₃×C₅×D₄	—	2	2	no	—
397	C₃×C₅×D₄	—	4	2	no	—
398	C₂×C₃×C₄×C₅	—	2	2	no	—
399	C₂×C₃×C₄×C₅	—	2	2	no	—
400	C₂×C₃×C₄×C₅	—	4	2	no	—
401	C₂×C₃×C₄×C₅	—	4	2	no	—
402	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
403	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
404	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
405	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
406	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂×C₃×C₄×C₅	C₂⁴	1	2	yes	—
408	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₃×C₂²⋊D₅	—	2	4	no	—
411	C₃×C₂²⋊D₅	—	2	2	no	—
412	C₃×C₂²⋊D₅	—	2	4	no	—
413	C₃×C₂²⋊D₅	—	2	2	no	—
414	C₃×C₂²⋊D₅	—	2	4	no	—
415	C₃×C₂²⋊D₅	—	4	2	no	—
416	C₃×C₂²⋊D₅	—	4	2	no	—
417	C₂×C₃×Dic₅	—	2	2	no	—
418	C₂×C₃×Dic₅	—	2	2	no	—
419	C₂×C₃×Dic₅	—	4	2	no	—
420	C₂×C₃×Dic₅	—	4	2	no	—
421	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
424	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
425	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
426	C₂×C₃×Dic₅	C₂⁴	1	2	yes	—
427	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
429	C₃×D₂₀	—	2	4	no	—
430	C₃×D₂₀	—	2	2	no	—
431	C₃×D₂₀	—	2	2	no	—
432	C₃×D₂₀	—	4	2	no	—
433	C₃×C₄×D₅	—	2	2	no	—
434	C₃×C₄×D₅	—	2	2	no	—
435	C₃×C₄×D₅	—	2	4	no	—
436	C₃×C₄×D₅	—	2	2	no	—
437	C₃×C₄×D₅	—	2	2	no	—
438	C₃×C₄×D₅	—	2	4	no	—
439	C₃×C₄×D₅	—	2	4	no	—
440	C₃×C₄×D₅	—	2	2	no	—
441	C₃×C₄×D₅	—	2	2	no	—
442	C₃×C₄×D₅	—	2	2	no	—
443	C₃×C₄×D₅	—	2	2	no	—
444	C₃×C₄×D₅	—	4	2	no	—
445	C₃×C₄×D₅	—	4	2	no	—
446	C₃×C₄×D₅	—	4	2	no	—
447	C₃×C₄×D₅	—	4	2	no	—
448	C₃×C₄×D₅	#41	1	4	yes	—
449	C₂²×C₃×D₄	—	5	1	no	—
450	C₂²×C₃×D₄	—	5	2	no	—
451	C₂²×C₃×D₄	—	5	1	no	—
452	C₂²×C₃×D₄	—	5	2	no	—
453	C₂³×C₃×C₄	—	5	1	no	—
454	C₂³×C₃×C₄	—	5	1	no	—
455	C₂³×C₃×C₄	—	5	2	no	—
456	C₂³×C₃×C₄	—	5	2	no	—
457	C₃×#126	—	5	2	no	—
458	C₃×#126	—	5	2	no	—
459	C₃×#126	—	5	2	no	—
460	C₃×#126	—	5	2	no	—
461	C₃×#126	—	5	2	no	—
462	C₃×#126	—	5	2	no	—
463	C₃×#126	—	5	2	no	—
464	C₃×#126	C₂×D₅	1	2	yes	complemented
465	C₃×#125	—	5	2	no	—
466	C₃×#125	—	5	2	no	—
467	C₃×#125	—	5	1	no	—
468	C₃×#125	—	5	1	no	—
469	C₃×#125	—	5	1	no	—
470	C₃×#125	C₂×D₅	1	1	yes	characteristic, complemented
471	C₃×#123	—	5	2	no	—
472	C₃×#123	—	5	2	no	—
473	C₃×#123	—	5	2	no	—
474	C₃×#123	—	5	2	no	—
475	C₃×#123	—	5	2	no	—
476	C₃×#123	—	5	2	no	—
477	C₃×#123	—	5	2	no	—
478	C₃×#123	C₂×D₅	1	2	yes	complemented
479	C₃×#121	—	5	2	no	—
480	C₃×#121	—	5	1	no	—
481	C₃×#121	—	5	1	no	—
482	C₃×#121	—	5	2	no	—
483	C₃×#121	—	5	2	no	—
484	C₃×#121	—	5	2	no	—
485	C₃×#121	—	5	2	no	—
486	C₃×#121	—	5	2	no	—
487	C₃×#121	—	5	1	no	—
488	C₃×#121	—	5	1	no	—
489	C₃×#121	—	5	2	no	—
490	C₃×#121	—	5	1	no	—
491	C₃×#121	—	5	1	no	—
492	C₃×#121	—	5	2	no	—
493	C₃×#121	—	5	2	no	—
494	C₃×#121	—	5	2	no	—
495	C₃×#121	—	5	2	no	—
496	C₃×#121	C₂×D₅	1	2	yes	complemented
497	C₃×#121	C₂×D₅	1	1	yes	characteristic, complemented
498	C₃×#121	C₂×D₅	1	1	yes	characteristic, complemented
499	C₃×C₄×D₄	—	5	2	no	—
500	C₃×C₄×D₄	—	5	1	no	—
501	C₃×C₄×D₄	—	5	1	no	—
502	C₃×C₄×D₄	—	5	2	no	—
503	C₃×C₄×D₄	—	5	2	no	—
504	C₃×C₄×D₄	—	5	1	no	—
505	C₃×C₄×D₄	—	5	2	no	—
506	C₃×C₄×D₄	—	5	1	no	—
507	C₃×C₄×D₄	—	5	2	no	—
508	C₃×C₄×D₄	—	5	1	no	—
509	C₃×C₄×D₄	—	5	1	no	—
510	C₃×C₄×D₄	—	5	2	no	—
511	C₃×C₄×D₄	—	5	2	no	—
512	C₃×C₄×D₄	—	5	1	no	—
513	C₃×C₄×D₄	—	5	2	no	—
514	C₃×C₄×D₄	—	5	1	no	—
515	C₃×C₄×D₄	—	5	2	no	—
516	C₃×C₄×D₄	—	5	1	no	—
517	C₃×C₄×D₄	—	5	1	no	—
518	C₃×C₄×D₄	C₂×D₅	1	2	yes	complemented
519	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
520	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
521	C₃×#117	—	5	1	no	—
522	C₃×#117	—	5	1	no	—
523	C₃×#117	—	5	1	no	—
524	C₃×#117	—	5	2	no	—
525	C₃×#117	—	5	2	no	—
526	C₃×#117	C₂×D₅	1	1	yes	characteristic, complemented
527	C₂×C₃×C₄⋊C₄	—	5	2	no	—
528	C₂×C₃×C₄⋊C₄	—	5	1	no	—
529	C₂×C₃×C₄⋊C₄	—	5	1	no	—
530	C₂×C₃×C₄⋊C₄	—	5	1	no	—
531	C₂×C₃×C₄⋊C₄	—	5	2	no	—
532	C₂×C₃×C₄⋊C₄	—	5	2	no	—
533	C₂×C₃×C₄⋊C₄	—	5	1	no	—
534	C₂×C₃×C₄⋊C₄	—	5	1	no	—
535	C₂×C₃×C₄⋊C₄	—	5	1	no	—
536	C₂×C₃×C₄⋊C₄	—	5	2	no	—
537	C₂×C₃×C₄⋊C₄	—	5	1	no	—
538	C₂×C₃×C₄⋊C₄	—	5	2	no	—
539	C₂×C₃×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
540	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
541	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
542	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
543	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
544	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
545	C₂×C₃×C₂²⋊C₄	—	5	2	no	—
546	C₂×C₃×C₄²	—	5	2	no	—
547	C₂×C₃×C₄²	—	5	1	no	—
548	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
549	C₂³×D₅	C₂³×C₃	1	2	yes	—
550	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
551	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
552	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
553	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
554	C₂×C₅×D₄	C₂³×C₃	1	2	yes	—
555	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
556	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
557	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
558	C₂²×C₄×C₅	C₂³×C₃	1	2	yes	—
559	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
560	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
561	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
562	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
563	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
564	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
565	C₂×C₂²⋊D₅	C₂³×C₃	1	2	yes	—
566	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
567	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
568	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
569	C₂²×Dic₅	C₂³×C₃	1	2	yes	—
570	D₄×D₅	—	2	8	no	—
571	D₄×D₅	—	2	4	no	—
572	D₄×D₅	—	2	4	no	—
573	D₄×D₅	—	4	4	no	—
574	C₂×D₂₀	C₂³×C₃	1	2	yes	—
575	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
576	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
577	C₂×D₂₀	C₂³×C₃	1	2	yes	—
578	C₂×C₄×D₅	—	2	4	no	—
579	C₂×C₄×D₅	—	2	4	no	—
580	C₂×C₄×D₅	—	4	4	no	—
581	C₂×C₄×D₅	—	4	4	no	—
582	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
583	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
584	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
585	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
586	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
587	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
588	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
589	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
590	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
591	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
592	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
593	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
594	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
595	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
596	C₂×C₄×D₅	C₂³×C₃	1	2	yes	—
597	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
601	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
603	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂³×C₃	1	2	yes	—
605	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
606	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
607	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
608	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
609	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
610	C₅×C₂²⋊C₄	C₂³×C₃	1	2	yes	—
611	C₄²×C₅	C₂³×C₃	1	2	yes	—
612	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
613	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
614	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
615	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
616	C₂²⋊Dic₅	C₂³×C₃	1	2	yes	—
617	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
618	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
619	#685	C₂³×C₃	1	2	yes	—
620	#685	C₂³×C₃	1	2	yes	—
621	#685	C₂³×C₃	1	1	yes	characteristic
622	#685	C₂³×C₃	1	2	yes	—
623	#685	C₂³×C₃	1	1	yes	characteristic
624	#685	C₂³×C₃	1	1	yes	characteristic
625	#685	C₂³×C₃	1	2	yes	—
626	#685	C₂³×C₃	1	2	yes	—
627	#685	C₂³×C₃	1	2	yes	—
628	#685	C₂³×C₃	1	2	yes	—
629	#685	C₂³×C₃	1	1	yes	characteristic
630	#685	C₂³×C₃	1	2	yes	—
631	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
632	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
633	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
634	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
635	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
636	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
637	C₄⋊Dic₅	C₂³×C₃	1	2	yes	—
638	#683	C₂³×C₃	1	2	yes	—
639	#683	C₂³×C₃	1	2	yes	—
640	#683	C₂³×C₃	1	2	yes	—
641	#683	C₂³×C₃	1	2	yes	—
642	#683	C₂³×C₃	1	1	yes	characteristic
643	#683	C₂³×C₃	1	2	yes	—
644	#683	C₂³×C₃	1	2	yes	—
645	#683	C₂³×C₃	1	1	yes	characteristic
646	#683	C₂³×C₃	1	2	yes	—
647	#683	C₂³×C₃	1	2	yes	—
648	#683	C₂³×C₃	1	2	yes	—
649	C₄×Dic₅	C₂³×C₃	1	2	yes	—
650	C₄×Dic₅	C₂³×C₃	1	2	yes	—
651	C₄×Dic₅	C₂³×C₃	1	2	yes	—
652	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
653	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
654	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
655	#553	—	5	2	no	—
656	#553	—	5	1	no	—
657	#553	—	5	2	no	—
658	#553	—	5	2	no	—
659	#553	—	5	1	no	—
660	#553	—	5	1	no	—
661	#553	—	5	2	no	—
662	#553	—	5	1	no	—
663	#553	—	5	1	no	—
664	#553	—	5	1	no	—
665	#553	—	5	1	no	—
666	#553	C₃×D₅	1	1	yes	characteristic, direct product factor
667	C₂×#126	—	5	2	no	—
668	C₂×#125	—	5	1	no	—
669	C₂×#123	—	5	2	no	—
670	C₂×#121	—	5	2	no	—
671	C₂×#121	—	5	1	no	—
672	C₂×#121	—	5	1	no	—
673	C₂×C₄×D₄	—	5	2	no	—
674	C₂×C₄×D₄	—	5	1	no	—
675	C₂×C₄×D₄	—	5	1	no	—
676	C₂×#117	—	5	1	no	—
677	C₂²×C₄⋊C₄	—	5	1	no	—
678	C₂²×C₃×C₅	—	2	1	no	—
679	C₂²×C₃×C₅	—	2	1	no	—
680	C₂²×C₃×C₅	—	2	1	no	—
681	C₂²×C₃×C₅	—	2	1	no	—
682	C₂²×C₃×C₅	—	2	2	no	—
683	C₂²×C₃×C₅	—	2	2	no	—
684	C₂²×C₃×C₅	—	2	2	no	—
685	C₂²×C₃×C₅	—	2	1	no	—
686	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
687	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
688	C₂×C₃×D₅	—	2	1	no	—
689	C₂×C₃×D₅	—	2	1	no	—
690	C₂×C₃×D₅	—	2	8	no	—
691	C₂×C₃×D₅	—	2	1	no	—
692	C₂×C₃×D₅	—	2	1	no	—
693	C₂×C₃×D₅	—	2	2	no	—
694	C₂×C₃×D₅	—	2	2	no	—
695	C₂×C₃×D₅	—	2	2	no	—
696	C₂×C₃×D₅	—	2	1	no	—
697	C₂×C₃×D₅	—	4	4	no	—
698	C₂×C₃×D₅	—	4	8	no	—
699	C₂×C₃×D₅	C₂×#41	1	2	yes	—
700	C₂×C₃×D₅	C₂×#41	1	2	yes	—
701	C₂×C₃×D₅	C₂×#41	1	2	yes	—
702	C₂×C₃×D₅	H(5,𝔽₂)	1	2	yes	—
703	C₃×C₄×C₅	—	2	1	no	—
704	C₃×C₄×C₅	—	2	1	no	—
705	C₃×C₄×C₅	—	2	2	no	—
706	C₃×C₄×C₅	—	2	1	no	—
707	C₃×C₄×C₅	—	2	1	no	—
708	C₃×C₄×C₅	—	2	2	no	—
709	C₃×C₄×C₅	—	2	2	no	—
710	C₃×C₄×C₅	C₂×#41	1	2	yes	—
711	C₃×Dic₅	—	2	1	no	—
712	C₃×Dic₅	—	2	1	no	—
713	C₃×Dic₅	—	2	1	no	—
714	C₃×Dic₅	—	2	2	no	—
715	C₃×Dic₅	—	2	1	no	—
716	C₃×Dic₅	—	2	2	no	—
717	C₃×Dic₅	—	2	2	no	—
718	C₃×Dic₅	C₂×#41	1	2	yes	—
719	C₂⁴×C₃	—	5	1	no	—
720	C₂⁴×C₃	—	5	1	no	—
721	C₂⁴×C₃	—	5	2	no	—
722	C₂×C₃×D₄	—	5	2	no	—
723	C₂×C₃×D₄	—	5	2	no	—
724	C₂×C₃×D₄	—	5	1	no	—
725	C₂×C₃×D₄	—	5	2	no	—
726	C₂×C₃×D₄	—	5	1	no	—
727	C₂×C₃×D₄	—	5	2	no	—
728	C₂×C₃×D₄	—	5	2	no	—
729	C₂×C₃×D₄	—	5	2	no	—
730	C₂×C₃×D₄	—	5	1	no	—
731	C₂×C₃×D₄	—	5	1	no	—
732	C₂×C₃×D₄	—	5	2	no	—
733	C₂×C₃×D₄	—	10	4	no	—
734	C₂×C₃×D₄	—	10	8	no	—
735	C₂×C₃×D₄	—	10	4	no	—
736	C₂×C₃×D₄	—	20	4	no	—
737	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
738	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
739	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
740	C₂×C₃×D₄	C₂²×D₅	1	2	yes	—
741	C₂²×C₃×C₄	—	5	1	no	—
742	C₂²×C₃×C₄	—	5	1	no	—
743	C₂²×C₃×C₄	—	5	1	no	—
744	C₂²×C₃×C₄	—	5	2	no	—
745	C₂²×C₃×C₄	—	5	2	no	—
746	C₂²×C₃×C₄	—	5	1	no	—
747	C₂²×C₃×C₄	—	5	2	no	—
748	C₂²×C₃×C₄	—	5	1	no	—
749	C₂²×C₃×C₄	—	5	2	no	—
750	C₂²×C₃×C₄	—	5	1	no	—
751	C₂²×C₃×C₄	—	5	1	no	—
752	C₂²×C₃×C₄	—	5	2	no	—
753	C₂²×C₃×C₄	—	5	1	no	—
754	C₂²×C₃×C₄	—	5	1	no	—
755	C₂²×C₃×C₄	—	5	1	no	—
756	C₂²×C₃×C₄	—	5	1	no	—
757	C₂²×C₃×C₄	—	5	2	no	—
758	C₂²×C₃×C₄	—	5	2	no	—
759	C₂²×C₃×C₄	—	5	2	no	—
760	C₂²×C₃×C₄	—	5	2	no	—
761	C₂²×C₃×C₄	—	10	4	no	—
762	C₂²×C₃×C₄	—	10	4	no	—
763	C₂²×C₃×C₄	—	20	4	no	—
764	C₂²×C₃×C₄	—	20	4	no	—
765	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
766	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
767	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
768	C₂²×C₃×C₄	C₂²×D₅	1	2	yes	—
769	C₃×C₄⋊C₄	—	5	2	no	—
770	C₃×C₄⋊C₄	—	5	2	no	—
771	C₃×C₄⋊C₄	—	5	2	no	—
772	C₃×C₄⋊C₄	—	5	2	no	—
773	C₃×C₄⋊C₄	—	5	2	no	—
774	C₃×C₄⋊C₄	—	5	2	no	—
775	C₃×C₄⋊C₄	—	5	2	no	—
776	C₃×C₄⋊C₄	—	5	1	no	—
777	C₃×C₄⋊C₄	—	5	1	no	—
778	C₃×C₄⋊C₄	—	5	2	no	—
779	C₃×C₄⋊C₄	—	5	2	no	—
780	C₃×C₄⋊C₄	—	5	1	no	—
781	C₃×C₄⋊C₄	—	5	1	no	—
782	C₃×C₄⋊C₄	—	5	2	no	—
783	C₃×C₄⋊C₄	—	5	1	no	—
784	C₃×C₄⋊C₄	—	5	2	no	—
785	C₃×C₄⋊C₄	—	5	1	no	—
786	C₃×C₄⋊C₄	—	5	2	no	—
787	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
788	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
789	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
790	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
791	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
792	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
793	C₃×C₄⋊C₄	C₂²×D₅	1	2	yes	—
794	C₃×C₂²⋊C₄	—	5	2	no	—
795	C₃×C₂²⋊C₄	—	5	1	no	—
796	C₃×C₂²⋊C₄	—	5	2	no	—
797	C₃×C₂²⋊C₄	—	5	2	no	—
798	C₃×C₂²⋊C₄	—	5	1	no	—
799	C₃×C₂²⋊C₄	—	5	2	no	—
800	C₃×C₂²⋊C₄	—	5	2	no	—
801	C₃×C₂²⋊C₄	—	5	2	no	—
802	C₃×C₂²⋊C₄	—	5	1	no	—
803	C₃×C₂²⋊C₄	—	5	1	no	—
804	C₃×C₂²⋊C₄	—	5	2	no	—
805	C₃×C₂²⋊C₄	—	5	2	no	—
806	C₃×C₂²⋊C₄	—	5	2	no	—
807	C₃×C₂²⋊C₄	—	5	2	no	—
808	C₃×C₂²⋊C₄	—	5	1	no	—
809	C₃×C₂²⋊C₄	—	5	1	no	—
810	C₃×C₂²⋊C₄	—	5	2	no	—
811	C₃×C₂²⋊C₄	—	5	2	no	—
812	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
813	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
814	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
815	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
816	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
817	C₃×C₂²⋊C₄	C₂²×D₅	1	2	yes	—
818	C₃×C₄²	—	5	2	no	—
819	C₃×C₄²	—	5	2	no	—
820	C₃×C₄²	—	5	2	no	—
821	C₃×C₄²	—	5	1	no	—
822	C₃×C₄²	—	5	1	no	—
823	C₃×C₄²	—	5	1	no	—
824	C₃×C₄²	C₂²×D₅	1	2	yes	—
825	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
826	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
827	C₂³×C₅	C₂⁴×C₃	1	2	yes	—
828	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
829	C₂²×D₅	—	2	2	no	—
830	C₂²×D₅	—	2	2	no	—
831	C₂²×D₅	—	2	2	no	—
832	C₂²×D₅	—	2	2	no	—
833	C₂²×D₅	—	2	4	no	—
834	C₂²×D₅	—	2	4	no	—
835	C₂²×D₅	—	2	4	no	—
836	C₂²×D₅	—	2	2	no	—
837	C₂²×D₅	C₃×#41	1	4	yes	—
838	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
839	C₂²×D₅	C₂⁴×C₃	1	2	yes	—
840	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
841	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
842	C₅×D₄	—	2	4	no	—
843	C₅×D₄	—	2	2	no	—
844	C₅×D₄	—	2	2	no	—
845	C₅×D₄	—	4	2	no	—
846	C₂×C₄×C₅	—	2	2	no	—
847	C₂×C₄×C₅	—	2	2	no	—
848	C₂×C₄×C₅	—	4	2	no	—
849	C₂×C₄×C₅	—	4	2	no	—
850	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
851	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
852	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
853	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
854	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
855	C₂×C₄×C₅	C₂⁴×C₃	1	2	yes	—
856	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
857	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
858	C₂²⋊D₅	—	2	2	no	—
859	C₂²⋊D₅	—	2	4	no	—
860	C₂²⋊D₅	—	2	4	no	—
861	C₂²⋊D₅	—	2	2	no	—
862	C₂²⋊D₅	—	2	4	no	—
863	C₂²⋊D₅	—	4	2	no	—
864	C₂²⋊D₅	—	4	2	no	—
865	C₂×Dic₅	—	2	2	no	—
866	C₂×Dic₅	—	2	2	no	—
867	C₂×Dic₅	—	4	2	no	—
868	C₂×Dic₅	—	4	2	no	—
869	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
870	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
871	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
872	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
873	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
874	C₂×Dic₅	C₂⁴×C₃	1	2	yes	—
875	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
876	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
877	D₂₀	—	2	4	no	—
878	D₂₀	—	2	2	no	—
879	D₂₀	—	2	2	no	—
880	D₂₀	—	4	2	no	—
881	C₄×D₅	—	2	2	no	—
882	C₄×D₅	—	2	2	no	—
883	C₄×D₅	—	2	4	no	—
884	C₄×D₅	—	2	2	no	—
885	C₄×D₅	—	2	2	no	—
886	C₄×D₅	—	2	4	no	—
887	C₄×D₅	—	2	4	no	—
888	C₄×D₅	—	2	2	no	—
889	C₄×D₅	—	2	2	no	—
890	C₄×D₅	—	2	2	no	—
891	C₄×D₅	—	2	2	no	—
892	C₄×D₅	—	4	2	no	—
893	C₄×D₅	—	4	2	no	—
894	C₄×D₅	—	4	2	no	—
895	C₄×D₅	—	4	2	no	—
896	C₄×D₅	C₃×#41	1	4	yes	—
897	C₂²×D₄	—	5	1	no	—
898	C₂²×D₄	—	5	2	no	—
899	C₂²×D₄	—	5	1	no	—
900	C₂²×D₄	—	5	2	no	—
901	C₂³×C₄	—	5	1	no	—
902	C₂³×C₄	—	5	1	no	—
903	C₂³×C₄	—	5	2	no	—
904	C₂³×C₄	—	5	2	no	—
905	#126	—	5	2	no	—
906	#126	—	5	2	no	—
907	#126	—	5	2	no	—
908	#126	—	5	2	no	—
909	#126	—	5	2	no	—
910	#126	—	5	2	no	—
911	#126	—	5	2	no	—
912	#126	C₂×C₃×D₅	1	2	yes	complemented
913	#125	—	5	2	no	—
914	#125	—	5	2	no	—
915	#125	—	5	1	no	—
916	#125	—	5	1	no	—
917	#125	—	5	1	no	—
918	#125	C₂×C₃×D₅	1	1	yes	characteristic, complemented
919	#123	—	5	2	no	—
920	#123	—	5	2	no	—
921	#123	—	5	2	no	—
922	#123	—	5	2	no	—
923	#123	—	5	2	no	—
924	#123	—	5	2	no	—
925	#123	—	5	2	no	—
926	#123	C₂×C₃×D₅	1	2	yes	complemented
927	#121	—	5	2	no	—
928	#121	—	5	1	no	—
929	#121	—	5	1	no	—
930	#121	—	5	2	no	—
931	#121	—	5	2	no	—
932	#121	—	5	2	no	—
933	#121	—	5	2	no	—
934	#121	—	5	2	no	—
935	#121	—	5	1	no	—
936	#121	—	5	1	no	—
937	#121	—	5	2	no	—
938	#121	—	5	1	no	—
939	#121	—	5	1	no	—
940	#121	—	5	2	no	—
941	#121	—	5	2	no	—
942	#121	—	5	2	no	—
943	#121	—	5	2	no	—
944	#121	C₂×C₃×D₅	1	2	yes	complemented
945	#121	C₂×C₃×D₅	1	1	yes	characteristic, complemented
946	#121	C₂×C₃×D₅	1	1	yes	characteristic, complemented
947	C₄×D₄	—	5	2	no	—
948	C₄×D₄	—	5	1	no	—
949	C₄×D₄	—	5	1	no	—
950	C₄×D₄	—	5	2	no	—
951	C₄×D₄	—	5	2	no	—
952	C₄×D₄	—	5	1	no	—
953	C₄×D₄	—	5	2	no	—
954	C₄×D₄	—	5	1	no	—
955	C₄×D₄	—	5	2	no	—
956	C₄×D₄	—	5	1	no	—
957	C₄×D₄	—	5	1	no	—
958	C₄×D₄	—	5	2	no	—
959	C₄×D₄	—	5	2	no	—
960	C₄×D₄	—	5	1	no	—
961	C₄×D₄	—	5	2	no	—
962	C₄×D₄	—	5	1	no	—
963	C₄×D₄	—	5	2	no	—
964	C₄×D₄	—	5	1	no	—
965	C₄×D₄	—	5	1	no	—
966	C₄×D₄	C₂×C₃×D₅	1	2	yes	complemented
967	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
968	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
969	#117	—	5	1	no	—
970	#117	—	5	1	no	—
971	#117	—	5	1	no	—
972	#117	—	5	2	no	—
973	#117	—	5	2	no	—
974	#117	C₂×C₃×D₅	1	1	yes	characteristic, complemented
975	C₂×C₄⋊C₄	—	5	2	no	—
976	C₂×C₄⋊C₄	—	5	1	no	—
977	C₂×C₄⋊C₄	—	5	1	no	—
978	C₂×C₄⋊C₄	—	5	1	no	—
979	C₂×C₄⋊C₄	—	5	2	no	—
980	C₂×C₄⋊C₄	—	5	2	no	—
981	C₂×C₄⋊C₄	—	5	1	no	—
982	C₂×C₄⋊C₄	—	5	1	no	—
983	C₂×C₄⋊C₄	—	5	1	no	—
984	C₂×C₄⋊C₄	—	5	2	no	—
985	C₂×C₄⋊C₄	—	5	1	no	—
986	C₂×C₄⋊C₄	—	5	2	no	—
987	C₂×C₄⋊C₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
988	C₂×C₂²⋊C₄	—	5	2	no	—
989	C₂×C₂²⋊C₄	—	5	1	no	—
990	C₂×C₂²⋊C₄	—	5	2	no	—
991	C₂×C₂²⋊C₄	—	5	2	no	—
992	C₂×C₂²⋊C₄	—	5	1	no	—
993	C₂×C₂²⋊C₄	—	5	2	no	—
994	C₂×C₄²	—	5	2	no	—
995	C₂×C₄²	—	5	1	no	—
996	C₂×C₃×C₅	—	2	2	no	—
997	C₂×C₃×C₅	—	4	1	no	—
998	C₂×C₃×C₅	—	4	2	no	—
999	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1000	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1001	C₂×C₃×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1002	C₃×D₅	—	2	2	no	—
1003	C₃×D₅	—	4	1	no	—
1004	C₃×D₅	—	4	2	no	—
1005	C₃×D₅	#553	1	4	yes	direct product factor
1006	C₂³×C₃	—	5	1	no	—
1007	C₂³×C₃	—	5	4	no	—
1008	C₂³×C₃	—	5	1	no	—
1009	C₂³×C₃	—	5	1	no	—
1010	C₂³×C₃	—	5	2	no	—
1011	C₂³×C₃	—	10	2	no	—
1012	C₂³×C₃	—	10	2	no	—
1013	C₂³×C₃	—	10	2	no	—
1014	C₂³×C₃	—	10	4	no	—
1015	C₂³×C₃	—	10	4	no	—
1016	C₂³×C₃	—	10	2	no	—
1017	C₂³×C₃	—	10	4	no	—
1018	C₂³×C₃	—	10	2	no	—
1019	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1020	C₂³×C₃	C₂³×D₅	1	2	yes	—
1021	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1022	C₃×D₄	—	2	4	no	—
1023	C₃×D₄	—	2	2	no	—
1024	C₃×D₄	—	2	2	no	—
1025	C₃×D₄	—	4	2	no	—
1026	C₃×D₄	—	10	4	no	—
1027	C₃×D₄	—	10	2	no	—
1028	C₃×D₄	—	10	4	no	—
1029	C₃×D₄	—	10	4	no	—
1030	C₃×D₄	—	10	2	no	—
1031	C₃×D₄	—	10	4	no	—
1032	C₃×D₄	—	10	2	no	—
1033	C₃×D₄	—	10	2	no	—
1034	C₃×D₄	—	20	2	no	—
1035	C₃×D₄	—	20	2	no	—
1036	C₃×D₄	—	20	2	no	—
1037	C₂×C₃×C₄	—	2	2	no	—
1038	C₂×C₃×C₄	—	2	2	no	—
1039	C₂×C₃×C₄	—	4	2	no	—
1040	C₂×C₃×C₄	—	4	2	no	—
1041	C₂×C₃×C₄	—	5	1	no	—
1042	C₂×C₃×C₄	—	5	4	no	—
1043	C₂×C₃×C₄	—	5	1	no	—
1044	C₂×C₃×C₄	—	5	2	no	—
1045	C₂×C₃×C₄	—	5	1	no	—
1046	C₂×C₃×C₄	—	5	2	no	—
1047	C₂×C₃×C₄	—	5	1	no	—
1048	C₂×C₃×C₄	—	5	1	no	—
1049	C₂×C₃×C₄	—	5	2	no	—
1050	C₂×C₃×C₄	—	10	2	no	—
1051	C₂×C₃×C₄	—	10	2	no	—
1052	C₂×C₃×C₄	—	10	2	no	—
1053	C₂×C₃×C₄	—	10	2	no	—
1054	C₂×C₃×C₄	—	10	4	no	—
1055	C₂×C₃×C₄	—	10	2	no	—
1056	C₂×C₃×C₄	—	10	4	no	—
1057	C₂×C₃×C₄	—	10	4	no	—
1058	C₂×C₃×C₄	—	10	2	no	—
1059	C₂×C₃×C₄	—	10	2	no	—
1060	C₂×C₃×C₄	—	10	2	no	—
1061	C₂×C₃×C₄	—	10	2	no	—
1062	C₂×C₃×C₄	—	10	2	no	—
1063	C₂×C₃×C₄	—	20	2	no	—
1064	C₂×C₃×C₄	—	20	2	no	—
1065	C₂×C₃×C₄	—	20	2	no	—
1066	C₂×C₃×C₄	—	20	2	no	—
1067	C₂×C₃×C₄	—	20	2	no	—
1068	C₂×C₃×C₄	—	20	2	no	—
1069	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1070	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1071	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1072	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1073	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1074	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1075	C₂×C₃×C₄	C₂³×D₅	1	2	yes	—
1076	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1077	C₂²×C₅	—	2	1	no	—
1078	C₂²×C₅	—	2	1	no	—
1079	C₂²×C₅	—	2	1	no	—
1080	C₂²×C₅	—	2	1	no	—
1081	C₂²×C₅	—	2	2	no	—
1082	C₂²×C₅	—	2	2	no	—
1083	C₂²×C₅	—	2	2	no	—
1084	C₂²×C₅	—	2	1	no	—
1085	C₂²×C₅	C₂×C₃×#41	1	2	yes	—
1086	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1087	C₂×D₅	—	2	1	no	—
1088	C₂×D₅	—	2	1	no	—
1089	C₂×D₅	—	2	8	no	—
1090	C₂×D₅	—	2	1	no	—
1091	C₂×D₅	—	2	1	no	—
1092	C₂×D₅	—	2	2	no	—
1093	C₂×D₅	—	2	2	no	—
1094	C₂×D₅	—	2	2	no	—
1095	C₂×D₅	—	2	1	no	—
1096	C₂×D₅	—	4	4	no	—
1097	C₂×D₅	—	4	8	no	—
1098	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1099	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1100	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1101	C₂×D₅	C₃×H(5,𝔽₂)	1	2	yes	—
1102	C₄×C₅	—	2	1	no	—
1103	C₄×C₅	—	2	1	no	—
1104	C₄×C₅	—	2	2	no	—
1105	C₄×C₅	—	2	1	no	—
1106	C₄×C₅	—	2	1	no	—
1107	C₄×C₅	—	2	2	no	—
1108	C₄×C₅	—	2	2	no	—
1109	C₄×C₅	C₂×C₃×#41	1	2	yes	—
1110	Dic₅	—	2	1	no	—
1111	Dic₅	—	2	1	no	—
1112	Dic₅	—	2	2	no	—
1113	Dic₅	—	2	1	no	—
1114	Dic₅	—	2	1	no	—
1115	Dic₅	—	2	2	no	—
1116	Dic₅	—	2	2	no	—
1117	Dic₅	C₂×C₃×#41	1	2	yes	—
1118	C₂⁴	—	5	1	no	—
1119	C₂⁴	—	5	1	no	—
1120	C₂⁴	—	5	2	no	—
1121	C₂×D₄	—	5	2	no	—
1122	C₂×D₄	—	5	2	no	—
1123	C₂×D₄	—	5	1	no	—
1124	C₂×D₄	—	5	2	no	—
1125	C₂×D₄	—	5	1	no	—
1126	C₂×D₄	—	5	2	no	—
1127	C₂×D₄	—	5	2	no	—
1128	C₂×D₄	—	5	2	no	—
1129	C₂×D₄	—	5	1	no	—
1130	C₂×D₄	—	5	1	no	—
1131	C₂×D₄	—	5	2	no	—
1132	C₂×D₄	—	10	4	no	—
1133	C₂×D₄	—	10	8	no	—
1134	C₂×D₄	—	10	4	no	—
1135	C₂×D₄	—	20	4	no	—
1136	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1137	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1138	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1139	C₂×D₄	C₂²×C₃×D₅	1	2	yes	—
1140	C₂²×C₄	—	5	1	no	—
1141	C₂²×C₄	—	5	1	no	—
1142	C₂²×C₄	—	5	1	no	—
1143	C₂²×C₄	—	5	2	no	—
1144	C₂²×C₄	—	5	2	no	—
1145	C₂²×C₄	—	5	1	no	—
1146	C₂²×C₄	—	5	2	no	—
1147	C₂²×C₄	—	5	1	no	—
1148	C₂²×C₄	—	5	2	no	—
1149	C₂²×C₄	—	5	1	no	—
1150	C₂²×C₄	—	5	1	no	—
1151	C₂²×C₄	—	5	2	no	—
1152	C₂²×C₄	—	5	1	no	—
1153	C₂²×C₄	—	5	1	no	—
1154	C₂²×C₄	—	5	1	no	—
1155	C₂²×C₄	—	5	1	no	—
1156	C₂²×C₄	—	5	2	no	—
1157	C₂²×C₄	—	5	2	no	—
1158	C₂²×C₄	—	5	2	no	—
1159	C₂²×C₄	—	5	2	no	—
1160	C₂²×C₄	—	10	4	no	—
1161	C₂²×C₄	—	10	4	no	—
1162	C₂²×C₄	—	20	4	no	—
1163	C₂²×C₄	—	20	4	no	—
1164	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1165	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1166	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
1167	C₂²×C₄	C₂²×C₃×D₅	1	2	yes	—
1168	C₄⋊C₄	—	5	2	no	—
1169	C₄⋊C₄	—	5	1	no	—
1170	C₄⋊C₄	—	5	2	no	—
1171	C₄⋊C₄	—	5	1	no	—
1172	C₄⋊C₄	—	5	2	no	—
1173	C₄⋊C₄	—	5	2	no	—
1174	C₄⋊C₄	—	5	2	no	—
1175	C₄⋊C₄	—	5	2	no	—
1176	C₄⋊C₄	—	5	1	no	—
1177	C₄⋊C₄	—	5	2	no	—
1178	C₄⋊C₄	—	5	2	no	—
1179	C₄⋊C₄	—	5	2	no	—
1180	C₄⋊C₄	—	5	1	no	—
1181	C₄⋊C₄	—	5	1	no	—
1182	C₄⋊C₄	—	5	1	no	—
1183	C₄⋊C₄	—	5	2	no	—
1184	C₄⋊C₄	—	5	2	no	—
1185	C₄⋊C₄	—	5	2	no	—
1186	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1187	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1188	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1189	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1190	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1191	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1192	C₄⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1193	C₂²⋊C₄	—	5	2	no	—
1194	C₂²⋊C₄	—	5	1	no	—
1195	C₂²⋊C₄	—	5	2	no	—
1196	C₂²⋊C₄	—	5	2	no	—
1197	C₂²⋊C₄	—	5	1	no	—
1198	C₂²⋊C₄	—	5	2	no	—
1199	C₂²⋊C₄	—	5	2	no	—
1200	C₂²⋊C₄	—	5	2	no	—
1201	C₂²⋊C₄	—	5	1	no	—
1202	C₂²⋊C₄	—	5	1	no	—
1203	C₂²⋊C₄	—	5	2	no	—
1204	C₂²⋊C₄	—	5	2	no	—
1205	C₂²⋊C₄	—	5	2	no	—
1206	C₂²⋊C₄	—	5	2	no	—
1207	C₂²⋊C₄	—	5	1	no	—
1208	C₂²⋊C₄	—	5	1	no	—
1209	C₂²⋊C₄	—	5	2	no	—
1210	C₂²⋊C₄	—	5	2	no	—
1211	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1212	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1213	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1214	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1215	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1216	C₂²⋊C₄	C₂²×C₃×D₅	1	2	yes	—
1217	C₄²	—	5	2	no	—
1218	C₄²	—	5	2	no	—
1219	C₄²	—	5	2	no	—
1220	C₄²	—	5	1	no	—
1221	C₄²	—	5	1	no	—
1222	C₄²	—	5	1	no	—
1223	C₄²	C₂²×C₃×D₅	1	2	yes	—
1224	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1225	C₃×C₅	C₂×#553	1	1	yes	characteristic, complemented, Hall
1226	C₂²×C₃	—	2	1	no	—
1227	C₂²×C₃	—	2	1	no	—
1228	C₂²×C₃	—	2	1	no	—
1229	C₂²×C₃	—	2	1	no	—
1230	C₂²×C₃	—	2	2	no	—
1231	C₂²×C₃	—	2	2	no	—
1232	C₂²×C₃	—	2	2	no	—
1233	C₂²×C₃	—	2	1	no	—
1234	C₂²×C₃	—	5	2	no	—
1235	C₂²×C₃	—	5	2	no	—
1236	C₂²×C₃	—	5	2	no	—
1237	C₂²×C₃	—	5	2	no	—
1238	C₂²×C₃	—	10	8	no	—
1239	C₂²×C₃	—	10	1	no	—
1240	C₂²×C₃	—	10	1	no	—
1241	C₂²×C₃	—	10	1	no	—
1242	C₂²×C₃	—	10	1	no	—
1243	C₂²×C₃	—	10	2	no	—
1244	C₂²×C₃	—	10	2	no	—
1245	C₂²×C₃	—	10	2	no	—
1246	C₂²×C₃	—	10	1	no	—
1247	C₂²×C₃	—	20	4	no	—
1248	C₂²×C₃	—	20	8	no	—
1249	C₂²×C₃	D₅×#41	1	2	yes	—
1250	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1251	C₃×C₄	—	2	1	no	—
1252	C₃×C₄	—	2	1	no	—
1253	C₃×C₄	—	2	2	no	—
1254	C₃×C₄	—	2	1	no	—
1255	C₃×C₄	—	2	1	no	—
1256	C₃×C₄	—	2	2	no	—
1257	C₃×C₄	—	2	2	no	—
1258	C₃×C₄	—	5	2	no	—
1259	C₃×C₄	—	10	1	no	—
1260	C₃×C₄	—	10	1	no	—
1261	C₃×C₄	—	10	2	no	—
1262	C₃×C₄	—	10	1	no	—
1263	C₃×C₄	—	10	2	no	—
1264	C₃×C₄	—	10	1	no	—
1265	C₃×C₄	—	10	2	no	—
1266	C₃×C₄	D₅×#41	1	2	yes	—
1267	C₂×C₅	—	2	2	no	—
1268	C₂×C₅	—	4	1	no	—
1269	C₂×C₅	—	4	2	no	—
1270	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1271	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1272	C₂×C₅	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1273	D₅	—	2	2	no	—
1274	D₅	—	4	1	no	—
1275	D₅	—	4	2	no	—
1276	D₅	C₃×#553	1	4	yes	direct product factor
1277	C₂³	—	5	1	no	—
1278	C₂³	—	5	4	no	—
1279	C₂³	—	5	1	no	—
1280	C₂³	—	5	1	no	—
1281	C₂³	—	5	2	no	—
1282	C₂³	—	10	2	no	—
1283	C₂³	—	10	2	no	—
1284	C₂³	—	10	2	no	—
1285	C₂³	—	10	4	no	—
1286	C₂³	—	10	4	no	—
1287	C₂³	—	10	2	no	—
1288	C₂³	—	10	4	no	—
1289	C₂³	—	10	2	no	—
1290	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1291	C₂³	C₂³×C₃×D₅	1	2	yes	—
1292	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1293	D₄	—	2	4	no	—
1294	D₄	—	2	2	no	—
1295	D₄	—	2	2	no	—
1296	D₄	—	4	2	no	—
1297	D₄	—	10	4	no	—
1298	D₄	—	10	2	no	—
1299	D₄	—	10	4	no	—
1300	D₄	—	10	4	no	—
1301	D₄	—	10	2	no	—
1302	D₄	—	10	4	no	—
1303	D₄	—	10	2	no	—
1304	D₄	—	10	2	no	—
1305	D₄	—	20	2	no	—
1306	D₄	—	20	2	no	—
1307	D₄	—	20	2	no	—
1308	C₂×C₄	—	2	2	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	4	2	no	—
1311	C₂×C₄	—	4	2	no	—
1312	C₂×C₄	—	5	1	no	—
1313	C₂×C₄	—	5	4	no	—
1314	C₂×C₄	—	5	1	no	—
1315	C₂×C₄	—	5	2	no	—
1316	C₂×C₄	—	5	1	no	—
1317	C₂×C₄	—	5	2	no	—
1318	C₂×C₄	—	5	1	no	—
1319	C₂×C₄	—	5	1	no	—
1320	C₂×C₄	—	5	2	no	—
1321	C₂×C₄	—	10	2	no	—
1322	C₂×C₄	—	10	2	no	—
1323	C₂×C₄	—	10	2	no	—
1324	C₂×C₄	—	10	2	no	—
1325	C₂×C₄	—	10	4	no	—
1326	C₂×C₄	—	10	2	no	—
1327	C₂×C₄	—	10	4	no	—
1328	C₂×C₄	—	10	4	no	—
1329	C₂×C₄	—	10	2	no	—
1330	C₂×C₄	—	10	2	no	—
1331	C₂×C₄	—	10	2	no	—
1332	C₂×C₄	—	10	2	no	—
1333	C₂×C₄	—	10	2	no	—
1334	C₂×C₄	—	20	2	no	—
1335	C₂×C₄	—	20	2	no	—
1336	C₂×C₄	—	20	2	no	—
1337	C₂×C₄	—	20	2	no	—
1338	C₂×C₄	—	20	2	no	—
1339	C₂×C₄	—	20	2	no	—
1340	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1341	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1342	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1343	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1344	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1345	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1346	C₂×C₄	C₂³×C₃×D₅	1	2	yes	—
1347	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1348	C₂×C₃	—	2	2	no	—
1349	C₂×C₃	—	4	1	no	—
1350	C₂×C₃	—	4	2	no	—
1351	C₂×C₃	—	5	4	no	—
1352	C₂×C₃	—	10	2	no	—
1353	C₂×C₃	—	20	1	no	—
1354	C₂×C₃	—	20	2	no	—
1355	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1356	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1357	C₂×C₃	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1358	C₅	C₂×C₃×#553	1	1	yes	characteristic, complemented, Sylow
1359	C₂²	—	2	1	no	—
1360	C₂²	—	2	1	no	—
1361	C₂²	—	2	1	no	—
1362	C₂²	—	2	1	no	—
1363	C₂²	—	2	2	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	2	1	no	—
1367	C₂²	—	5	2	no	—
1368	C₂²	—	5	2	no	—
1369	C₂²	—	5	2	no	—
1370	C₂²	—	5	2	no	—
1371	C₂²	—	10	8	no	—
1372	C₂²	—	10	1	no	—
1373	C₂²	—	10	1	no	—
1374	C₂²	—	10	1	no	—
1375	C₂²	—	10	1	no	—
1376	C₂²	—	10	2	no	—
1377	C₂²	—	10	2	no	—
1378	C₂²	—	10	2	no	—
1379	C₂²	—	10	1	no	—
1380	C₂²	—	20	4	no	—
1381	C₂²	—	20	8	no	—
1382	C₂²	C₃×D₅×#41	1	2	yes	—
1383	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1384	C₄	—	2	1	no	—
1385	C₄	—	2	1	no	—
1386	C₄	—	2	2	no	—
1387	C₄	—	2	1	no	—
1388	C₄	—	2	1	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	2	no	—
1391	C₄	—	5	2	no	—
1392	C₄	—	10	1	no	—
1393	C₄	—	10	1	no	—
1394	C₄	—	10	2	no	—
1395	C₄	—	10	1	no	—
1396	C₄	—	10	2	no	—
1397	C₄	—	10	1	no	—
1398	C₄	—	10	2	no	—
1399	C₄	C₃×D₅×#41	1	2	yes	—
1400	C₃	D₅×#553	1	1	yes	characteristic, direct product factor, Sylow
1401	C₂	—	2	2	no	—
1402	C₂	—	4	1	no	—
1403	C₂	—	4	2	no	—
1404	C₂	—	5	4	no	—
1405	C₂	—	10	2	no	—
1406	C₂	—	20	1	no	—
1407	C₂	—	20	2	no	—
1408	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1409	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1410	C₂	C₃×D₅×H(5,𝔽₂)	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₃	C₂⁴×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×#553	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#553	D₅
hypocenter	C₅	C₂×C₃×#553
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#553

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#553	C₂	semidirect
2. C₃×#66043	C₂	semidirect
3. C₃×D₅×#126	C₂	semidirect
4. C₃×#66029	C₂	semidirect
5. C₃×D₅×#125	C₂	semidirect
6. C₃×#65995	C₂	semidirect
7. C₃×D₅×#123	C₂	semidirect
8. C₃×#65952	C₂	semidirect
9. C₃×#65948	C₂	semidirect
10. C₃×D₅×#121	C₂	semidirect
11. C₃×D₅×#121	C₂	semidirect
12. C₃×D₅×#121	C₂	semidirect
13. C₃×#65935	C₂	semidirect
14. C₃×#65899	C₂	semidirect
15. C₃×#65892	C₂	semidirect
16. C₃×C₄×D₄×D₅	C₂	semidirect
17. C₃×C₄×D₄×D₅	C₂	semidirect
18. C₃×C₄×D₄×D₅	C₂	semidirect
19. C₃×#65874	C₂	semidirect
20. C₃×#65864	C₂	semidirect
21. C₃×D₅×#117	C₂	semidirect
22. C₃×#65848	C₂	semidirect
23. C₂×C₃×D₅×C₄⋊C₄	C₂	semidirect
24. D₅×#553	C₃	direct (N × H)
33. C₃×C₅×#126	C₂²	semidirect
34. C₃×C₅×#125	C₂²	semidirect
35. C₃×C₅×#123	C₂²	semidirect
36. C₃×C₅×#121	C₂²	semidirect
37. C₃×C₅×#121	C₂²	semidirect
38. C₃×C₅×#121	C₂²	semidirect
39. C₃×C₄×C₅×D₄	C₂²	semidirect
40. C₃×C₄×C₅×D₄	C₂²	semidirect
41. C₃×C₄×C₅×D₄	C₂²	semidirect
42. C₃×C₅×#117	C₂²	semidirect
43. C₂×C₃×C₅×C₄⋊C₄	C₂²	semidirect
44. C₃×#4085	C₂²	semidirect
45. C₃×#4085	C₂²	semidirect
46. C₃×#4085	C₂²	semidirect
47. C₃×#4085	C₂²	semidirect
48. C₃×#4084	C₂²	semidirect
49. C₃×#4084	C₂²	semidirect
50. C₃×#4084	C₂²	semidirect
51. C₃×#4081	C₂²	semidirect
52. C₃×D₄×Dic₅	C₂²	semidirect
53. C₃×D₄×Dic₅	C₂²	semidirect
54. C₃×D₄×Dic₅	C₂²	semidirect
55. C₃×#4076	C₂²	semidirect
56. C₃×#4076	C₂²	semidirect
57. C₃×#4076	C₂²	semidirect
58. C₃×#4075	C₂²	semidirect
59. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
60. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
61. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
62. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
63. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
64. C₃×#4072	C₂²	semidirect
65. C₂×C₃×C₄⋊Dic₅	C₂²	semidirect
66. C₂×C₃×#683	C₂²	semidirect
67. C₃×#4044	C₂²	semidirect
68. C₃×#4044	C₂²	semidirect
69. C₃×#4044	C₂²	semidirect
70. C₃×#4041	C₂²	semidirect
71. C₃×#4041	C₂²	semidirect
72. C₃×#4041	C₂²	semidirect
73. C₃×#4040	C₂²	semidirect
74. C₃×#4040	C₂²	semidirect
75. C₃×#4039	C₂²	semidirect
76. C₃×#4039	C₂²	semidirect
77. C₃×#4039	C₂²	semidirect
78. C₃×#4038	C₂²	semidirect
79. C₃×#4038	C₂²	semidirect
87. C₃×D₅×C₄⋊C₄	C₂²	semidirect
88. C₃×D₅×C₄⋊C₄	C₂²	semidirect
89. C₃×D₅×C₄⋊C₄	C₂²	semidirect
90. C₃×#4036	C₂²	semidirect
91. C₃×#4036	C₂²	semidirect
92. C₃×#4035	C₂²	semidirect
93. C₃×#4035	C₂²	semidirect
94. C₃×#4032	C₂²	semidirect
95. C₃×#4030	C₂²	semidirect
96. C₃×#4030	C₂²	semidirect
97. C₃×#4030	C₂²	semidirect
98. C₃×#4030	C₂²	semidirect
99. C₃×#4029	C₂²	semidirect
100. C₃×#4029	C₂²	semidirect
101. C₃×#4027	C₂²	semidirect
102. C₃×#4027	C₂²	semidirect
103. C₃×#4027	C₂²	semidirect
104. C₃×#4027	C₂²	semidirect
105. C₃×#4027	C₂²	semidirect
112. C₃×#4025	C₂²	semidirect
113. C₃×#4025	C₂²	semidirect
114. C₃×#4025	C₂²	semidirect
115. C₃×#4023	C₂²	semidirect
116. C₃×#4022	C₂²	semidirect
117. C₃×C₄×D₂₀	C₂²	semidirect
118. C₃×C₄×D₂₀	C₂²	semidirect
119. C₃×C₄×D₂₀	C₂²	semidirect
120. C₃×#4018	C₂²	semidirect
123. C₃×#4016	C₂²	semidirect
125. C₅×#553	C₂×C₃	semidirect
126. #66043	C₂×C₃	semidirect
127. D₅×#126	C₂×C₃	semidirect
128. #66029	C₂×C₃	semidirect
129. D₅×#125	C₂×C₃	semidirect
130. #65995	C₂×C₃	semidirect
131. D₅×#123	C₂×C₃	semidirect
132. #65952	C₂×C₃	semidirect
133. #65948	C₂×C₃	semidirect
134. D₅×#121	C₂×C₃	semidirect
135. D₅×#121	C₂×C₃	semidirect
136. D₅×#121	C₂×C₃	semidirect
137. #65935	C₂×C₃	semidirect
138. #65899	C₂×C₃	semidirect
139. #65892	C₂×C₃	semidirect
140. C₄×D₄×D₅	C₂×C₃	semidirect
141. C₄×D₄×D₅	C₂×C₃	semidirect
142. C₄×D₄×D₅	C₂×C₃	semidirect
143. #65874	C₂×C₃	semidirect
144. #65864	C₂×C₃	semidirect
145. D₅×#117	C₂×C₃	semidirect
146. #65848	C₂×C₃	semidirect
147. C₂×D₅×C₄⋊C₄	C₂×C₃	semidirect
266. C₃×#553	D₅	direct (N × H)
286. C₅×#126	C₂²×C₃	semidirect
287. C₅×#125	C₂²×C₃	semidirect
288. C₅×#123	C₂²×C₃	semidirect
289. C₅×#121	C₂²×C₃	semidirect
290. C₅×#121	C₂²×C₃	semidirect
291. C₅×#121	C₂²×C₃	semidirect
292. C₄×C₅×D₄	C₂²×C₃	semidirect
293. C₄×C₅×D₄	C₂²×C₃	semidirect
294. C₄×C₅×D₄	C₂²×C₃	semidirect
295. C₅×#117	C₂²×C₃	semidirect
296. C₂×C₅×C₄⋊C₄	C₂²×C₃	semidirect
297. #4085	C₂²×C₃	semidirect
298. #4085	C₂²×C₃	semidirect
299. #4085	C₂²×C₃	semidirect
300. #4085	C₂²×C₃	semidirect
301. #4084	C₂²×C₃	semidirect
302. #4084	C₂²×C₃	semidirect
303. #4084	C₂²×C₃	semidirect
304. #4081	C₂²×C₃	semidirect
305. D₄×Dic₅	C₂²×C₃	semidirect
306. D₄×Dic₅	C₂²×C₃	semidirect
307. D₄×Dic₅	C₂²×C₃	semidirect
308. #4076	C₂²×C₃	semidirect
309. #4076	C₂²×C₃	semidirect
310. #4076	C₂²×C₃	semidirect
311. #4075	C₂²×C₃	semidirect
312. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
313. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
314. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
315. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
316. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
317. #4072	C₂²×C₃	semidirect
318. C₂×C₄⋊Dic₅	C₂²×C₃	semidirect
319. C₂×#683	C₂²×C₃	semidirect
320. #4044	C₂²×C₃	semidirect
321. #4044	C₂²×C₃	semidirect
322. #4044	C₂²×C₃	semidirect
323. #4041	C₂²×C₃	semidirect
324. #4041	C₂²×C₃	semidirect
325. #4041	C₂²×C₃	semidirect
326. #4040	C₂²×C₃	semidirect
327. #4040	C₂²×C₃	semidirect
328. #4039	C₂²×C₃	semidirect
329. #4039	C₂²×C₃	semidirect
330. #4039	C₂²×C₃	semidirect
331. #4038	C₂²×C₃	semidirect
332. #4038	C₂²×C₃	semidirect
340. D₅×C₄⋊C₄	C₂²×C₃	semidirect
341. D₅×C₄⋊C₄	C₂²×C₃	semidirect
342. D₅×C₄⋊C₄	C₂²×C₃	semidirect
343. #4036	C₂²×C₃	semidirect
344. #4036	C₂²×C₃	semidirect
345. #4035	C₂²×C₃	semidirect
346. #4035	C₂²×C₃	semidirect
347. #4032	C₂²×C₃	semidirect
348. #4030	C₂²×C₃	semidirect
349. #4030	C₂²×C₃	semidirect
350. #4030	C₂²×C₃	semidirect
351. #4030	C₂²×C₃	semidirect
352. #4029	C₂²×C₃	semidirect
353. #4029	C₂²×C₃	semidirect
354. #4027	C₂²×C₃	semidirect
355. #4027	C₂²×C₃	semidirect
356. #4027	C₂²×C₃	semidirect
357. #4027	C₂²×C₃	semidirect
358. #4027	C₂²×C₃	semidirect
365. #4025	C₂²×C₃	semidirect
366. #4025	C₂²×C₃	semidirect
367. #4025	C₂²×C₃	semidirect
368. #4023	C₂²×C₃	semidirect
369. #4022	C₂²×C₃	semidirect
370. C₄×D₂₀	C₂²×C₃	semidirect
371. C₄×D₂₀	C₂²×C₃	semidirect
372. C₄×D₂₀	C₂²×C₃	semidirect
373. #4018	C₂²×C₃	semidirect
376. #4016	C₂²×C₃	semidirect
464. C₃×#126	C₂×D₅	semidirect
470. C₃×#125	C₂×D₅	semidirect
478. C₃×#123	C₂×D₅	semidirect
496. C₃×#121	C₂×D₅	semidirect
497. C₃×#121	C₂×D₅	semidirect
498. C₃×#121	C₂×D₅	semidirect
518. C₃×C₄×D₄	C₂×D₅	semidirect
519. C₃×C₄×D₄	C₂×D₅	semidirect
520. C₃×C₄×D₄	C₂×D₅	semidirect
526. C₃×#117	C₂×D₅	semidirect
539. C₂×C₃×C₄⋊C₄	C₂×D₅	semidirect
666. #553	C₃×D₅	direct (N × H)
912. #126	C₂×C₃×D₅	semidirect
918. #125	C₂×C₃×D₅	semidirect
926. #123	C₂×C₃×D₅	semidirect
944. #121	C₂×C₃×D₅	semidirect
945. #121	C₂×C₃×D₅	semidirect
946. #121	C₂×C₃×D₅	semidirect
966. C₄×D₄	C₂×C₃×D₅	semidirect
967. C₄×D₄	C₂×C₃×D₅	semidirect
968. C₄×D₄	C₂×C₃×D₅	semidirect
974. #117	C₂×C₃×D₅	semidirect
987. C₂×C₄⋊C₄	C₂×C₃×D₅	semidirect
1005. C₃×D₅	#553	direct (N × H)
1225. C₃×C₅	C₂×#553	semidirect
1276. D₅	C₃×#553	direct (N × H)
1358. C₅	C₂×C₃×#553	semidirect
1400. C₃	D₅×#553	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×C₅×#553	2
C₃×#66043	2
C₃×D₅×#126	2
C₃×#66029	2
C₃×D₅×#125	2
C₃×#65995	2
C₃×D₅×#123	2
C₃×#65952	2
C₃×#65948	2
C₃×D₅×#121	2
C₃×#65935	2
C₃×#65899	2
C₃×#65892	2
C₃×C₄×D₄×D₅	2
C₃×#65874	2
C₃×#65864	2
C₃×D₅×#117	2
C₃×#65848	2
C₂×C₃×D₅×C₄⋊C₄	2
D₅×#553	3
C₂×C₃×#553	5

Subgroups — C3×D5×#553 #14483590

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×D₅×#553 #14483590