Subgroups — C₃×#10618047 #14481497

Order 1920.

2080 conjugacy classes of subgroups.

The subgroup lattice has 1932 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₅×#529	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#66044	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66041	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#66038	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#66035	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#66030	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#66026	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#66012	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#66003	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#65997	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#65996	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#65994	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#65991	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#65974	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#65972	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#65949	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#65947	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#65914	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#65912	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#65891	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#65882	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#65881	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#65881	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#65872	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#65872	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#65862	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#65862	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#65856	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×D₅×#117	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#65813	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×C₄×#709	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618047	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
33	C₂×C₃×#709	C₂²	1	1	yes	characteristic
34	C₂×C₃×#709	C₂²	1	1	yes	characteristic
35	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
36	C₃×C₅×#126	C₂²	1	1	yes	characteristic
37	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
38	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
39	C₃×C₅×#124	C₂²	1	1	yes	characteristic
40	C₃×C₅×#123	C₂²	1	1	yes	characteristic
41	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₃×C₅×#121	C₂²	1	1	yes	characteristic
44	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
45	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
46	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
47	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
48	C₃×C₅×#117	C₂²	1	1	yes	characteristic
49	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
51	C₃×#4093	C₂²	1	1	yes	characteristic
52	C₃×#4092	C₂²	1	1	yes	characteristic
53	C₃×#4092	C₂²	1	1	yes	characteristic, complemented
54	C₃×#4090	C₂²	1	1	yes	characteristic, complemented
55	C₃×#4086	C₂²	1	1	yes	characteristic, complemented
56	C₃×#4085	C₂²	1	1	yes	characteristic
57	C₃×#4085	C₂²	1	1	yes	characteristic
58	C₃×#4085	C₂²	1	1	yes	characteristic
59	C₃×#4085	C₂²	1	1	yes	characteristic
60	C₃×#4084	C₂²	1	1	yes	characteristic
61	C₃×#4084	C₂²	1	1	yes	characteristic
62	C₃×#4083	C₂²	1	1	yes	characteristic
63	C₃×#4083	C₂²	1	1	yes	characteristic
64	C₃×#4082	C₂²	1	1	yes	characteristic
65	C₃×#4081	C₂²	1	1	yes	characteristic
66	C₃×#4081	C₂²	1	1	yes	characteristic, complemented
67	C₃×#4076	C₂²	1	1	yes	characteristic
68	C₃×#4075	C₂²	1	1	yes	characteristic
69	C₃×#4075	C₂²	1	1	yes	characteristic, complemented
70	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
71	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
72	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
73	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
74	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
75	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
76	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
77	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
78	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
79	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
80	C₃×#4072	C₂²	1	1	yes	characteristic
81	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
82	C₃×#4070	C₂²	1	1	yes	characteristic, complemented
83	C₂×C₃×C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
84	C₃×#4044	C₂²	1	1	yes	characteristic
85	C₃×#4044	C₂²	1	1	yes	characteristic
86	C₃×#4044	C₂²	1	1	yes	characteristic
87	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
88	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
89	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
90	C₃×#4043	C₂²	1	1	yes	characteristic
91	C₃×#4043	C₂²	1	1	yes	characteristic, complemented
92	C₃×#4042	C₂²	1	1	yes	characteristic
93	C₃×#4042	C₂²	1	1	yes	characteristic
94	C₃×#4042	C₂²	1	1	yes	characteristic
95	C₃×#4042	C₂²	1	1	yes	characteristic
96	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
97	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
98	C₃×#4041	C₂²	1	1	yes	characteristic
99	C₃×#4041	C₂²	1	1	yes	characteristic
100	C₃×#4040	C₂²	1	1	yes	characteristic
101	C₃×#4040	C₂²	1	1	yes	characteristic
102	C₃×#4040	C₂²	1	1	yes	characteristic
103	C₃×#4040	C₂²	1	1	yes	characteristic
104	C₃×#4040	C₂²	1	1	yes	characteristic, complemented
105	C₃×#4040	C₂²	1	1	yes	characteristic, complemented
106	C₃×#4039	C₂²	1	1	yes	characteristic
107	C₃×#4039	C₂²	1	1	yes	characteristic
108	C₃×#4038	C₂²	1	1	yes	characteristic
109	C₃×#4038	C₂²	1	1	yes	characteristic
110	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
112	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
113	C₃×#4036	C₂²	1	1	yes	characteristic, complemented
114	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
115	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
116	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
117	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
118	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
119	C₃×#4035	C₂²	1	1	yes	characteristic, complemented
120	C₃×#4034	C₂²	1	1	yes	characteristic, complemented
121	C₃×#4034	C₂²	1	1	yes	characteristic, complemented
122	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
123	C₃×#4033	C₂²	1	1	yes	characteristic, complemented
124	C₃×#4032	C₂²	1	1	yes	characteristic
125	C₃×#4032	C₂²	1	1	yes	characteristic, complemented
126	C₃×#4031	C₂²	1	1	yes	characteristic
127	C₃×#4031	C₂²	1	1	yes	characteristic
128	C₃×#4031	C₂²	1	1	yes	characteristic
129	C₃×#4031	C₂²	1	1	yes	characteristic
130	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
131	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
132	C₃×#4030	C₂²	1	1	yes	characteristic
133	C₃×#4030	C₂²	1	1	yes	characteristic
134	C₃×#4030	C₂²	1	1	yes	characteristic
135	C₃×#4030	C₂²	1	1	yes	characteristic
136	C₃×#4030	C₂²	1	1	yes	characteristic
137	C₃×#4030	C₂²	1	1	yes	characteristic
138	C₃×#4029	C₂²	1	1	yes	characteristic
139	C₃×#4029	C₂²	1	1	yes	characteristic
140	C₃×#4029	C₂²	1	1	yes	characteristic
141	C₃×#4029	C₂²	1	1	yes	characteristic
142	C₃×#4029	C₂²	1	1	yes	characteristic, complemented
143	C₃×#4029	C₂²	1	1	yes	characteristic, complemented
144	C₃×#4028	C₂²	1	1	yes	characteristic
145	C₃×#4028	C₂²	1	1	yes	characteristic
146	C₃×#4027	C₂²	1	1	yes	characteristic
147	C₃×#4027	C₂²	1	1	yes	characteristic
148	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
149	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
150	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
151	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
152	C₃×#4025	C₂²	1	1	yes	characteristic
153	C₃×#4025	C₂²	1	1	yes	characteristic
154	C₃×#4025	C₂²	1	1	yes	characteristic
155	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
156	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
157	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
158	C₃×#4024	C₂²	1	1	yes	characteristic
159	C₃×#4024	C₂²	1	1	yes	characteristic
160	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
161	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
162	C₃×#4023	C₂²	1	1	yes	characteristic
163	C₃×#4023	C₂²	1	1	yes	characteristic
164	C₃×#4022	C₂²	1	1	yes	characteristic
165	C₃×#4022	C₂²	1	1	yes	characteristic, complemented
166	C₃×#4021	C₂²	1	1	yes	characteristic
167	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
168	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
169	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
170	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
171	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
172	C₃×#4018	C₂²	1	1	yes	characteristic
173	C₃×#4018	C₂²	1	1	yes	characteristic
174	C₃×#4018	C₂²	1	1	yes	characteristic
175	C₃×#4018	C₂²	1	1	yes	characteristic
176	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
177	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
178	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
179	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
180	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
182	C₃×#4016	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
184	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
185	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
187	C₃×C₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
188	C₃×#3455	—	5	1	no	maximal, Hall
189	C₅×#529	C₂×C₃	1	1	yes	characteristic, complemented
190	#66044	C₂×C₃	1	1	yes	characteristic, complemented
191	#66041	C₂×C₃	1	1	yes	characteristic, complemented
192	#66038	C₂×C₃	1	1	yes	characteristic, complemented
193	#66035	C₂×C₃	1	1	yes	characteristic, complemented
194	#66030	C₂×C₃	1	1	yes	characteristic, complemented
195	#66026	C₂×C₃	1	1	yes	characteristic, complemented
196	#66012	C₂×C₃	1	1	yes	characteristic, complemented
197	#66003	C₂×C₃	1	1	yes	characteristic, complemented
198	#65997	C₂×C₃	1	1	yes	characteristic, complemented
199	#65996	C₂×C₃	1	1	yes	characteristic, complemented
200	#65994	C₂×C₃	1	1	yes	characteristic, complemented
201	#65991	C₂×C₃	1	1	yes	characteristic, complemented
202	#65974	C₂×C₃	1	1	yes	characteristic, complemented
203	#65972	C₂×C₃	1	1	yes	characteristic, complemented
204	#65949	C₂×C₃	1	1	yes	characteristic, complemented
205	#65947	C₂×C₃	1	1	yes	characteristic, complemented
206	#65914	C₂×C₃	1	1	yes	characteristic, complemented
207	#65912	C₂×C₃	1	1	yes	characteristic, complemented
208	#65891	C₂×C₃	1	1	yes	characteristic, complemented
209	#65882	C₂×C₃	1	1	yes	characteristic, complemented
210	#65881	C₂×C₃	1	1	yes	characteristic, complemented
211	#65881	C₂×C₃	1	1	yes	characteristic, complemented
212	#65872	C₂×C₃	1	1	yes	characteristic, complemented
213	#65872	C₂×C₃	1	1	yes	characteristic, complemented
214	#65862	C₂×C₃	1	1	yes	characteristic, complemented
215	#65862	C₂×C₃	1	1	yes	characteristic, complemented
216	#65856	C₂×C₃	1	1	yes	characteristic, complemented
217	D₅×#117	C₂×C₃	1	1	yes	characteristic, complemented
218	#65813	C₂×C₃	1	1	yes	characteristic, complemented
219	C₄×#709	C₂×C₃	1	1	yes	characteristic, complemented
220	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
221	C₂×C₃×C₅×Q₈	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
223	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
224	C₂×C₃×C₅×D₄	C₂³	1	1	yes	characteristic
225	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
226	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
227	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
228	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
229	C₂²×C₃×C₄×C₅	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₂²⋊D₅	C₂³	1	1	yes	characteristic
240	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
241	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
242	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
243	C₃×#709	—	2	4	no	—
244	C₃×#709	—	2	4	no	—
245	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
246	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
247	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
248	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
249	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄×D₅	—	2	4	no	—
251	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
265	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
266	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
267	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
268	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
269	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
270	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
291	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
292	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
293	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
294	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
295	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
296	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
297	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
298	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
299	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
300	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
301	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
302	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
303	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
304	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
305	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
306	C₃×#685	C₂³	1	1	yes	characteristic
307	C₃×#685	C₂³	1	1	yes	characteristic
308	C₃×#685	C₂³	1	1	yes	characteristic
309	C₃×#685	C₂³	1	1	yes	characteristic
310	C₃×#685	C₂³	1	1	yes	characteristic
311	C₃×#685	C₂³	1	1	yes	characteristic
312	C₃×#685	C₂³	1	1	yes	characteristic
313	C₃×#685	C₂³	1	1	yes	characteristic
314	C₃×#685	C₂³	1	1	yes	characteristic
315	C₃×#685	C₂³	1	1	yes	characteristic
316	C₃×#685	C₂³	1	1	yes	characteristic
317	C₃×#685	C₂³	1	1	yes	characteristic
318	C₃×#685	C₂³	1	1	yes	characteristic
319	C₃×#685	C₂³	1	1	yes	characteristic
320	C₃×#685	C₂³	1	1	yes	characteristic
321	C₃×#685	C₂³	1	1	yes	characteristic
322	C₃×#685	C₂³	1	1	yes	characteristic
323	C₃×#685	C₂³	1	1	yes	characteristic
324	C₃×#685	C₂³	1	1	yes	characteristic
325	C₃×#685	C₂³	1	1	yes	characteristic
326	C₃×#685	C₂³	1	1	yes	characteristic
327	C₃×#685	C₂³	1	1	yes	characteristic
328	C₃×#685	C₂³	1	1	yes	characteristic
329	C₃×#685	C₂³	1	1	yes	characteristic
330	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
331	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
332	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
333	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
334	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
335	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
336	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
337	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
338	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
339	C₃×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
340	C₃×#683	C₂³	1	1	yes	characteristic
341	C₃×#683	C₂³	1	1	yes	characteristic
342	C₃×#683	C₂³	1	1	yes	characteristic
343	C₃×#683	C₂³	1	1	yes	characteristic
344	C₃×#683	C₂³	1	1	yes	characteristic
345	C₃×#683	C₂³	1	1	yes	characteristic
346	C₃×#683	C₂³	1	1	yes	characteristic
347	C₃×#683	C₂³	1	1	yes	characteristic
348	C₃×#683	C₂³	1	1	yes	characteristic
349	C₃×#683	C₂³	1	1	yes	characteristic
350	C₃×#683	C₂³	1	1	yes	characteristic
351	C₃×#683	C₂³	1	1	yes	characteristic
352	C₃×#683	C₂³	1	1	yes	characteristic
353	C₃×#683	C₂³	1	1	yes	characteristic
354	C₃×#683	C₂³	1	1	yes	characteristic
355	C₃×#683	C₂³	1	1	yes	characteristic
356	C₃×#683	C₂³	1	1	yes	characteristic
357	C₃×#683	C₂³	1	1	yes	characteristic
358	C₃×#683	C₂³	1	1	yes	characteristic
359	C₃×#683	C₂³	1	1	yes	characteristic
360	C₃×#683	C₂³	1	1	yes	characteristic
361	C₃×#683	C₂³	1	1	yes	characteristic
362	C₃×#683	C₂³	1	1	yes	characteristic
363	C₃×#683	C₂³	1	1	yes	characteristic
364	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
365	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
366	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
367	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
368	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
369	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
370	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
371	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
372	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
373	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
374	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
375	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
376	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
377	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
378	C₃×#542	—	5	1	no	—
379	C₃×#542	—	5	1	no	—
380	C₃×#542	—	5	1	no	—
381	C₃×#542	—	5	1	no	—
382	C₃×#541	—	5	1	no	—
383	C₃×#541	—	5	1	no	—
384	C₃×#540	—	5	1	no	—
385	C₃×#540	—	5	1	no	—
386	C₃×#539	—	5	1	no	—
387	C₃×#539	—	5	1	no	—
388	C₃×#539	—	5	1	no	—
389	C₃×#539	—	5	1	no	—
390	C₃×#538	—	5	1	no	—
391	C₃×#538	—	5	1	no	—
392	C₃×#538	—	5	1	no	—
393	C₃×#538	—	5	1	no	—
394	C₃×#533	—	5	1	no	—
395	C₃×#532	—	5	1	no	—
396	C₃×#529	—	5	1	no	—
397	C₃×#529	—	5	1	no	—
398	C₃×#529	—	5	1	no	—
399	C₃×#529	—	5	1	no	—
400	C₃×#529	—	5	1	no	—
401	C₃×#529	—	5	1	no	—
402	C₃×#529	—	5	1	no	—
403	C₃×#529	D₅	1	1	yes	characteristic, complemented
404	C₃×#525	—	5	1	no	—
405	C₃×#525	—	5	1	no	—
406	C₃×C₄×#41	—	5	1	no	—
407	C₃×C₄×#41	—	5	1	no	—
408	C₂×C₃×#117	—	5	1	no	—
409	C₂×#709	C₂²×C₃	1	1	yes	characteristic
410	C₂×#709	C₂²×C₃	1	1	yes	characteristic
411	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
412	C₅×#126	C₂²×C₃	1	1	yes	characteristic
413	C₅×#126	C₂²×C₃	1	1	yes	characteristic, complemented
414	C₅×#125	C₂²×C₃	1	1	yes	characteristic, complemented
415	C₅×#124	C₂²×C₃	1	1	yes	characteristic
416	C₅×#123	C₂²×C₃	1	1	yes	characteristic
417	C₅×#123	C₂²×C₃	1	1	yes	characteristic, complemented
418	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₅×#121	C₂²×C₃	1	1	yes	characteristic
420	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
421	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
422	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
423	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₅×#117	C₂²×C₃	1	1	yes	characteristic
425	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
426	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
427	#4093	C₂²×C₃	1	1	yes	characteristic
428	#4092	C₂²×C₃	1	1	yes	characteristic
429	#4092	C₂²×C₃	1	1	yes	characteristic, complemented
430	#4090	C₂²×C₃	1	1	yes	characteristic, complemented
431	#4086	C₂²×C₃	1	1	yes	characteristic, complemented
432	#4085	C₂²×C₃	1	1	yes	characteristic
433	#4085	C₂²×C₃	1	1	yes	characteristic
434	#4085	C₂²×C₃	1	1	yes	characteristic
435	#4085	C₂²×C₃	1	1	yes	characteristic
436	#4084	C₂²×C₃	1	1	yes	characteristic
437	#4084	C₂²×C₃	1	1	yes	characteristic
438	#4083	C₂²×C₃	1	1	yes	characteristic
439	#4083	C₂²×C₃	1	1	yes	characteristic
440	#4082	C₂²×C₃	1	1	yes	characteristic
441	#4081	C₂²×C₃	1	1	yes	characteristic
442	#4081	C₂²×C₃	1	1	yes	characteristic, complemented
443	#4076	C₂²×C₃	1	1	yes	characteristic
444	#4075	C₂²×C₃	1	1	yes	characteristic
445	#4075	C₂²×C₃	1	1	yes	characteristic, complemented
446	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
447	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
448	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
449	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
450	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
451	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic
452	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
453	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
454	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
455	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
456	#4072	C₂²×C₃	1	1	yes	characteristic
457	#4072	C₂²×C₃	1	1	yes	characteristic, complemented
458	#4070	C₂²×C₃	1	1	yes	characteristic, complemented
459	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
460	#4044	C₂²×C₃	1	1	yes	characteristic
461	#4044	C₂²×C₃	1	1	yes	characteristic
462	#4044	C₂²×C₃	1	1	yes	characteristic
463	#4044	C₂²×C₃	1	1	yes	characteristic, complemented
464	#4044	C₂²×C₃	1	1	yes	characteristic, complemented
465	#4044	C₂²×C₃	1	1	yes	characteristic, complemented
466	#4043	C₂²×C₃	1	1	yes	characteristic
467	#4043	C₂²×C₃	1	1	yes	characteristic, complemented
468	#4042	C₂²×C₃	1	1	yes	characteristic
469	#4042	C₂²×C₃	1	1	yes	characteristic
470	#4042	C₂²×C₃	1	1	yes	characteristic
471	#4042	C₂²×C₃	1	1	yes	characteristic
472	#4042	C₂²×C₃	1	1	yes	characteristic, complemented
473	#4042	C₂²×C₃	1	1	yes	characteristic, complemented
474	#4041	C₂²×C₃	1	1	yes	characteristic
475	#4041	C₂²×C₃	1	1	yes	characteristic
476	#4040	C₂²×C₃	1	1	yes	characteristic
477	#4040	C₂²×C₃	1	1	yes	characteristic
478	#4040	C₂²×C₃	1	1	yes	characteristic
479	#4040	C₂²×C₃	1	1	yes	characteristic
480	#4040	C₂²×C₃	1	1	yes	characteristic, complemented
481	#4040	C₂²×C₃	1	1	yes	characteristic, complemented
482	#4039	C₂²×C₃	1	1	yes	characteristic
483	#4039	C₂²×C₃	1	1	yes	characteristic
484	#4038	C₂²×C₃	1	1	yes	characteristic
485	#4038	C₂²×C₃	1	1	yes	characteristic
486	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
487	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
488	#4036	C₂²×C₃	1	1	yes	characteristic, complemented
489	#4036	C₂²×C₃	1	1	yes	characteristic, complemented
490	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
491	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
492	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
493	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
494	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
495	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
496	#4034	C₂²×C₃	1	1	yes	characteristic, complemented
497	#4034	C₂²×C₃	1	1	yes	characteristic, complemented
498	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
499	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
500	#4032	C₂²×C₃	1	1	yes	characteristic
501	#4032	C₂²×C₃	1	1	yes	characteristic, complemented
502	#4031	C₂²×C₃	1	1	yes	characteristic
503	#4031	C₂²×C₃	1	1	yes	characteristic
504	#4031	C₂²×C₃	1	1	yes	characteristic
505	#4031	C₂²×C₃	1	1	yes	characteristic
506	#4031	C₂²×C₃	1	1	yes	characteristic, complemented
507	#4031	C₂²×C₃	1	1	yes	characteristic, complemented
508	#4030	C₂²×C₃	1	1	yes	characteristic
509	#4030	C₂²×C₃	1	1	yes	characteristic
510	#4030	C₂²×C₃	1	1	yes	characteristic
511	#4030	C₂²×C₃	1	1	yes	characteristic
512	#4030	C₂²×C₃	1	1	yes	characteristic
513	#4030	C₂²×C₃	1	1	yes	characteristic
514	#4029	C₂²×C₃	1	1	yes	characteristic
515	#4029	C₂²×C₃	1	1	yes	characteristic
516	#4029	C₂²×C₃	1	1	yes	characteristic
517	#4029	C₂²×C₃	1	1	yes	characteristic
518	#4029	C₂²×C₃	1	1	yes	characteristic, complemented
519	#4029	C₂²×C₃	1	1	yes	characteristic, complemented
520	#4028	C₂²×C₃	1	1	yes	characteristic
521	#4028	C₂²×C₃	1	1	yes	characteristic
522	#4027	C₂²×C₃	1	1	yes	characteristic
523	#4027	C₂²×C₃	1	1	yes	characteristic
524	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
525	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
526	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
527	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
528	#4025	C₂²×C₃	1	1	yes	characteristic
529	#4025	C₂²×C₃	1	1	yes	characteristic
530	#4025	C₂²×C₃	1	1	yes	characteristic
531	#4025	C₂²×C₃	1	1	yes	characteristic, complemented
532	#4025	C₂²×C₃	1	1	yes	characteristic, complemented
533	#4025	C₂²×C₃	1	1	yes	characteristic, complemented
534	#4024	C₂²×C₃	1	1	yes	characteristic
535	#4024	C₂²×C₃	1	1	yes	characteristic
536	#4024	C₂²×C₃	1	1	yes	characteristic, complemented
537	#4024	C₂²×C₃	1	1	yes	characteristic, complemented
538	#4023	C₂²×C₃	1	1	yes	characteristic
539	#4023	C₂²×C₃	1	1	yes	characteristic
540	#4022	C₂²×C₃	1	1	yes	characteristic
541	#4022	C₂²×C₃	1	1	yes	characteristic, complemented
542	#4021	C₂²×C₃	1	1	yes	characteristic
543	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
544	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
545	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
546	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
547	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
548	#4018	C₂²×C₃	1	1	yes	characteristic
549	#4018	C₂²×C₃	1	1	yes	characteristic
550	#4018	C₂²×C₃	1	1	yes	characteristic
551	#4018	C₂²×C₃	1	1	yes	characteristic
552	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
553	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
554	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
555	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
556	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
557	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
558	#4016	C₂²×C₃	1	1	yes	characteristic, complemented
559	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
560	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
561	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
562	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
563	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
564	#3455	—	5	1	no	Sylow
565	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
566	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
567	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
568	C₂²×C₃×D₅	—	2	2	no	—
569	C₂²×C₃×D₅	—	4	1	no	—
570	C₂²×C₃×D₅	—	4	1	no	—
571	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
572	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
575	C₃×C₅×Q₈	—	4	1	no	—
576	C₃×C₅×D₄	—	4	1	no	—
577	C₃×C₅×D₄	—	4	1	no	—
578	C₃×C₅×D₄	—	4	1	no	—
579	C₂×C₃×C₄×C₅	—	2	2	no	—
580	C₂×C₃×C₄×C₅	—	2	2	no	—
581	C₂×C₃×C₄×C₅	—	2	2	no	—
582	C₂×C₃×C₄×C₅	—	4	1	no	—
583	C₂×C₃×C₄×C₅	—	4	1	no	—
584	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
589	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
590	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
591	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
592	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
593	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
594	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
595	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
596	C₃×C₂²⋊D₅	—	2	2	no	—
597	C₃×C₂²⋊D₅	—	2	2	no	—
598	C₃×C₂²⋊D₅	—	2	2	no	—
599	C₃×C₂²⋊D₅	—	2	2	no	—
600	C₃×C₂²⋊D₅	—	4	1	no	—
601	C₃×C₂²⋊D₅	—	4	1	no	—
602	C₃×C₂²⋊D₅	—	4	1	no	—
603	C₃×C₂²⋊D₅	—	4	1	no	—
604	C₃×C₂²⋊D₅	—	4	1	no	—
605	C₃×C₂²⋊D₅	—	4	1	no	—
606	C₂×C₃×Dic₅	—	2	2	no	—
607	C₂×C₃×Dic₅	—	4	1	no	—
608	C₂×C₃×Dic₅	—	4	1	no	—
609	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
610	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
611	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
612	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
613	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
614	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
615	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
616	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
617	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
618	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
619	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
620	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
621	C₃×D₂₀	—	2	2	no	—
622	C₃×D₂₀	—	2	2	no	—
623	C₃×D₂₀	—	4	1	no	—
624	C₃×D₂₀	—	4	1	no	—
625	C₃×D₂₀	—	4	1	no	—
626	C₃×C₄×D₅	—	2	2	no	—
627	C₃×C₄×D₅	—	2	2	no	—
628	C₃×C₄×D₅	—	2	2	no	—
629	C₃×C₄×D₅	—	2	2	no	—
630	C₃×C₄×D₅	—	2	2	no	—
631	C₃×C₄×D₅	—	4	1	no	—
632	C₃×C₄×D₅	—	4	1	no	—
633	C₃×C₄×D₅	—	4	1	no	—
634	C₃×C₄×D₅	—	4	1	no	—
635	C₃×C₄×D₅	—	4	1	no	—
636	C₃×C₄×D₅	—	4	1	no	—
637	C₃×C₄×D₅	—	4	1	no	—
638	C₃×C₄×D₅	—	4	1	no	—
639	C₃×C₄×D₅	#41	1	4	yes	—
640	C₃×Dic₁₀	—	2	2	no	—
641	C₃×Dic₁₀	—	2	2	no	—
642	C₃×Dic₁₀	—	4	1	no	—
643	C₃×Dic₁₀	—	4	1	no	—
644	C₃×Dic₁₀	—	4	1	no	—
645	C₂×C₃×#41	—	5	1	no	—
646	C₂×C₃×#41	—	5	1	no	—
647	C₂³×C₃×C₄	—	5	1	no	—
648	C₃×C₄⋊Q₈	—	5	1	no	—
649	C₃×C₄⋊Q₈	—	5	1	no	—
650	C₃×C₄⋊Q₈	—	5	1	no	—
651	C₃×#127	—	5	1	no	—
652	C₃×#126	—	5	1	no	—
653	C₃×#126	—	5	1	no	—
654	C₃×#126	—	5	1	no	—
655	C₃×#126	—	5	1	no	—
656	C₃×#126	—	5	1	no	—
657	C₃×#126	—	5	1	no	—
658	C₃×#126	—	5	1	no	—
659	C₃×#126	—	5	1	no	—
660	C₃×#126	—	5	1	no	—
661	C₃×#126	—	5	1	no	—
662	C₃×#126	—	5	1	no	—
663	C₃×#126	—	5	1	no	—
664	C₃×#126	—	5	1	no	—
665	C₃×#126	—	5	1	no	—
666	C₃×#126	C₂×D₅	1	1	yes	characteristic
667	C₃×#126	C₂×D₅	1	1	yes	characteristic, complemented
668	C₃×#125	—	5	1	no	—
669	C₃×#125	—	5	1	no	—
670	C₃×#125	—	5	1	no	—
671	C₃×#125	—	5	1	no	—
672	C₃×#125	—	5	1	no	—
673	C₃×#125	—	5	1	no	—
674	C₃×#125	—	5	1	no	—
675	C₃×#125	—	5	1	no	—
676	C₃×#125	—	5	1	no	—
677	C₃×#125	C₂×D₅	1	1	yes	characteristic, complemented
678	C₃×#124	—	5	1	no	—
679	C₃×#124	—	5	1	no	—
680	C₃×#124	—	5	1	no	—
681	C₃×#124	—	5	1	no	—
682	C₃×#124	—	5	1	no	—
683	C₃×#124	—	5	1	no	—
684	C₃×#124	—	5	1	no	—
685	C₃×#124	—	5	1	no	—
686	C₃×#124	—	5	1	no	—
687	C₃×#124	C₂×D₅	1	1	yes	characteristic
688	C₃×#123	—	5	1	no	—
689	C₃×#123	—	5	1	no	—
690	C₃×#123	—	5	1	no	—
691	C₃×#123	—	5	1	no	—
692	C₃×#123	—	5	1	no	—
693	C₃×#123	—	5	1	no	—
694	C₃×#123	—	5	1	no	—
695	C₃×#123	—	5	1	no	—
696	C₃×#123	—	5	1	no	—
697	C₃×#123	—	5	1	no	—
698	C₃×#123	—	5	1	no	—
699	C₃×#123	—	5	1	no	—
700	C₃×#123	—	5	1	no	—
701	C₃×#123	—	5	1	no	—
702	C₃×#123	—	5	1	no	—
703	C₃×#123	—	5	1	no	—
704	C₃×#123	—	5	1	no	—
705	C₃×#123	—	5	1	no	—
706	C₃×#123	C₂×D₅	1	1	yes	characteristic
707	C₃×#123	C₂×D₅	1	1	yes	characteristic, complemented
708	C₃×C₂²⋊Q₈	—	5	1	no	—
709	C₃×C₂²⋊Q₈	—	5	1	no	—
710	C₃×C₂²⋊Q₈	—	5	1	no	—
711	C₃×C₂²⋊Q₈	—	5	1	no	—
712	C₃×C₂²⋊Q₈	—	5	1	no	—
713	C₃×C₂²⋊Q₈	—	5	1	no	—
714	C₃×C₂²⋊Q₈	—	5	1	no	—
715	C₃×C₂²⋊Q₈	—	5	1	no	—
716	C₃×C₂²⋊Q₈	—	5	1	no	—
717	C₃×C₂²⋊Q₈	—	5	1	no	—
718	C₃×C₂²⋊Q₈	—	5	1	no	—
719	C₃×C₂²⋊Q₈	—	5	1	no	—
720	C₃×C₂²⋊Q₈	—	5	1	no	—
721	C₃×C₂²⋊Q₈	—	5	1	no	—
722	C₃×C₂²⋊Q₈	—	5	1	no	—
723	C₃×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic, complemented
724	C₃×#121	—	5	1	no	—
725	C₃×#121	—	5	1	no	—
726	C₃×#121	—	5	1	no	—
727	C₃×#121	—	5	1	no	—
728	C₃×#121	—	5	1	no	—
729	C₃×#121	—	5	1	no	—
730	C₃×#121	—	5	1	no	—
731	C₃×#121	—	5	1	no	—
732	C₃×#121	—	5	1	no	—
733	C₃×#121	—	5	1	no	—
734	C₃×#121	—	5	1	no	—
735	C₃×#121	—	5	1	no	—
736	C₃×#121	—	5	1	no	—
737	C₃×#121	—	5	1	no	—
738	C₃×#121	—	5	1	no	—
739	C₃×#121	C₂×D₅	1	1	yes	characteristic
740	C₃×#120	—	5	1	no	—
741	C₃×#120	—	5	1	no	—
742	C₃×#120	—	5	1	no	—
743	C₃×#120	—	5	1	no	—
744	C₃×C₄×Q₈	—	5	1	no	—
745	C₃×C₄×Q₈	—	5	1	no	—
746	C₃×C₄×Q₈	—	5	1	no	—
747	C₃×C₄×Q₈	—	5	1	no	—
748	C₃×C₄×Q₈	—	5	1	no	—
749	C₃×C₄×Q₈	—	5	1	no	—
750	C₃×C₄×Q₈	—	5	1	no	—
751	C₃×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
752	C₃×C₄×D₄	—	5	1	no	—
753	C₃×C₄×D₄	—	5	1	no	—
754	C₃×C₄×D₄	—	5	1	no	—
755	C₃×C₄×D₄	—	5	1	no	—
756	C₃×C₄×D₄	—	5	1	no	—
757	C₃×C₄×D₄	—	5	1	no	—
758	C₃×C₄×D₄	—	5	1	no	—
759	C₃×C₄×D₄	—	5	1	no	—
760	C₃×C₄×D₄	—	5	1	no	—
761	C₃×C₄×D₄	—	5	1	no	—
762	C₃×C₄×D₄	—	5	1	no	—
763	C₃×C₄×D₄	—	5	1	no	—
764	C₃×C₄×D₄	—	5	1	no	—
765	C₃×C₄×D₄	—	5	1	no	—
766	C₃×C₄×D₄	—	5	1	no	—
767	C₃×C₄×D₄	—	5	1	no	—
768	C₃×C₄×D₄	—	5	1	no	—
769	C₃×C₄×D₄	—	5	1	no	—
770	C₃×C₄×D₄	—	5	1	no	—
771	C₃×C₄×D₄	—	5	1	no	—
772	C₃×C₄×D₄	—	5	1	no	—
773	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic
774	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic
775	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
776	C₃×#117	—	5	1	no	—
777	C₃×#117	—	5	1	no	—
778	C₃×#117	—	5	1	no	—
779	C₃×#117	—	5	1	no	—
780	C₃×#117	—	5	1	no	—
781	C₃×#117	—	5	1	no	—
782	C₃×#117	—	5	1	no	—
783	C₃×#117	—	5	1	no	—
784	C₃×#117	—	5	1	no	—
785	C₃×#117	—	5	1	no	—
786	C₃×#117	—	5	1	no	—
787	C₃×#117	—	5	1	no	—
788	C₃×#117	C₂×D₅	1	1	yes	characteristic
789	C₃×#117	C₂×D₅	1	1	yes	characteristic, complemented
790	C₂×C₃×C₄⋊C₄	—	5	1	no	—
791	C₂×C₃×C₄⋊C₄	—	5	1	no	—
792	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
793	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
794	C₂×C₃×C₄²	—	5	1	no	—
795	C₂×C₃×C₄²	—	5	1	no	—
796	C₂×C₃×C₄²	—	5	1	no	—
797	C₂×C₃×C₄²	—	5	1	no	—
798	C₂×C₃×C₄²	—	5	1	no	—
799	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
800	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
801	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
802	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
803	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
804	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
805	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
806	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
807	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
808	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
809	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
813	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
814	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
815	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
816	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
817	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
818	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
819	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
820	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
821	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
822	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
823	#709	—	2	4	no	—
824	#709	—	2	4	no	—
825	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
826	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
827	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
828	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
829	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
830	C₂×C₄×D₅	—	2	4	no	—
831	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
832	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
833	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
834	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
835	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
836	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
837	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
838	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
839	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
841	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
842	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
843	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
844	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
845	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
846	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
847	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
848	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
849	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
850	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
851	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
852	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
853	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
854	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
855	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
856	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
857	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
858	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
859	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
860	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
861	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
862	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
864	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
865	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
866	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
871	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
872	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
873	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
874	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
875	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
876	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
877	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
878	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
879	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
880	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
881	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
882	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
883	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
884	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
885	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
886	#685	C₂³×C₃	1	1	yes	characteristic
887	#685	C₂³×C₃	1	1	yes	characteristic
888	#685	C₂³×C₃	1	1	yes	characteristic
889	#685	C₂³×C₃	1	1	yes	characteristic
890	#685	C₂³×C₃	1	1	yes	characteristic
891	#685	C₂³×C₃	1	1	yes	characteristic
892	#685	C₂³×C₃	1	1	yes	characteristic
893	#685	C₂³×C₃	1	1	yes	characteristic
894	#685	C₂³×C₃	1	1	yes	characteristic
895	#685	C₂³×C₃	1	1	yes	characteristic
896	#685	C₂³×C₃	1	1	yes	characteristic
897	#685	C₂³×C₃	1	1	yes	characteristic
898	#685	C₂³×C₃	1	1	yes	characteristic
899	#685	C₂³×C₃	1	1	yes	characteristic
900	#685	C₂³×C₃	1	1	yes	characteristic
901	#685	C₂³×C₃	1	1	yes	characteristic
902	#685	C₂³×C₃	1	1	yes	characteristic
903	#685	C₂³×C₃	1	1	yes	characteristic
904	#685	C₂³×C₃	1	1	yes	characteristic
905	#685	C₂³×C₃	1	1	yes	characteristic
906	#685	C₂³×C₃	1	1	yes	characteristic
907	#685	C₂³×C₃	1	1	yes	characteristic
908	#685	C₂³×C₃	1	1	yes	characteristic
909	#685	C₂³×C₃	1	1	yes	characteristic
910	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
911	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
912	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
913	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
914	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
915	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
916	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
917	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
918	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
919	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
920	#683	C₂³×C₃	1	1	yes	characteristic
921	#683	C₂³×C₃	1	1	yes	characteristic
922	#683	C₂³×C₃	1	1	yes	characteristic
923	#683	C₂³×C₃	1	1	yes	characteristic
924	#683	C₂³×C₃	1	1	yes	characteristic
925	#683	C₂³×C₃	1	1	yes	characteristic
926	#683	C₂³×C₃	1	1	yes	characteristic
927	#683	C₂³×C₃	1	1	yes	characteristic
928	#683	C₂³×C₃	1	1	yes	characteristic
929	#683	C₂³×C₃	1	1	yes	characteristic
930	#683	C₂³×C₃	1	1	yes	characteristic
931	#683	C₂³×C₃	1	1	yes	characteristic
932	#683	C₂³×C₃	1	1	yes	characteristic
933	#683	C₂³×C₃	1	1	yes	characteristic
934	#683	C₂³×C₃	1	1	yes	characteristic
935	#683	C₂³×C₃	1	1	yes	characteristic
936	#683	C₂³×C₃	1	1	yes	characteristic
937	#683	C₂³×C₃	1	1	yes	characteristic
938	#683	C₂³×C₃	1	1	yes	characteristic
939	#683	C₂³×C₃	1	1	yes	characteristic
940	#683	C₂³×C₃	1	1	yes	characteristic
941	#683	C₂³×C₃	1	1	yes	characteristic
942	#683	C₂³×C₃	1	1	yes	characteristic
943	#683	C₂³×C₃	1	1	yes	characteristic
944	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
945	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
946	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
947	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
948	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
949	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
950	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
951	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
952	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
953	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
954	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
955	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
956	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
957	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
958	#542	—	5	1	no	—
959	#542	—	5	1	no	—
960	#542	—	5	1	no	—
961	#542	—	5	1	no	—
962	#541	—	5	1	no	—
963	#541	—	5	1	no	—
964	#540	—	5	1	no	—
965	#540	—	5	1	no	—
966	#539	—	5	1	no	—
967	#539	—	5	1	no	—
968	#539	—	5	1	no	—
969	#539	—	5	1	no	—
970	#538	—	5	1	no	—
971	#538	—	5	1	no	—
972	#538	—	5	1	no	—
973	#538	—	5	1	no	—
974	#533	—	5	1	no	—
975	#532	—	5	1	no	—
976	#529	—	5	1	no	—
977	#529	—	5	1	no	—
978	#529	—	5	1	no	—
979	#529	—	5	1	no	—
980	#529	—	5	1	no	—
981	#529	—	5	1	no	—
982	#529	—	5	1	no	—
983	#529	C₃×D₅	1	1	yes	characteristic, complemented
984	#525	—	5	1	no	—
985	#525	—	5	1	no	—
986	C₄×#41	—	5	1	no	—
987	C₄×#41	—	5	1	no	—
988	C₂×#117	—	5	1	no	—
989	C₂²×C₃×C₅	—	2	1	no	—
990	C₂²×C₃×C₅	—	2	1	no	—
991	C₂²×C₃×C₅	—	2	1	no	—
992	C₂²×C₃×C₅	—	2	1	no	—
993	C₂²×C₃×C₅	—	2	1	no	—
994	C₂²×C₃×C₅	—	2	1	no	—
995	C₂²×C₃×C₅	—	2	1	no	—
996	C₂²×C₃×C₅	—	2	1	no	—
997	C₂²×C₃×C₅	—	2	1	no	—
998	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
999	C₂×C₃×D₅	—	2	1	no	—
1000	C₂×C₃×D₅	—	2	1	no	—
1001	C₂×C₃×D₅	—	2	1	no	—
1002	C₂×C₃×D₅	—	2	1	no	—
1003	C₂×C₃×D₅	—	2	1	no	—
1004	C₂×C₃×D₅	—	2	1	no	—
1005	C₂×C₃×D₅	—	2	1	no	—
1006	C₂×C₃×D₅	—	2	1	no	—
1007	C₂×C₃×D₅	—	2	1	no	—
1008	C₂×C₃×D₅	—	2	1	no	—
1009	C₂×C₃×D₅	—	2	1	no	—
1010	C₂×C₃×D₅	—	4	4	no	—
1011	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1012	C₃×C₄×C₅	—	2	1	no	—
1013	C₃×C₄×C₅	—	2	1	no	—
1014	C₃×C₄×C₅	—	2	1	no	—
1015	C₃×C₄×C₅	—	2	1	no	—
1016	C₃×C₄×C₅	—	2	1	no	—
1017	C₃×C₄×C₅	—	2	1	no	—
1018	C₃×C₄×C₅	—	2	1	no	—
1019	C₃×C₄×C₅	—	2	1	no	—
1020	C₃×C₄×C₅	—	2	1	no	—
1021	C₃×C₄×C₅	—	2	1	no	—
1022	C₃×C₄×C₅	—	2	1	no	—
1023	C₃×C₄×C₅	C₂×#41	1	2	yes	—
1024	C₃×Dic₅	—	2	1	no	—
1025	C₃×Dic₅	—	2	1	no	—
1026	C₃×Dic₅	—	2	1	no	—
1027	C₃×Dic₅	—	2	1	no	—
1028	C₃×Dic₅	—	2	1	no	—
1029	C₃×Dic₅	—	2	1	no	—
1030	C₃×Dic₅	—	2	1	no	—
1031	C₃×Dic₅	—	2	1	no	—
1032	C₃×Dic₅	—	2	1	no	—
1033	C₃×Dic₅	—	2	1	no	—
1034	C₃×Dic₅	—	2	1	no	—
1035	C₃×Dic₅	C₂×#41	1	2	yes	—
1036	C₂⁴×C₃	—	5	1	no	—
1037	C₃×#41	—	10	4	no	—
1038	C₃×#41	—	10	4	no	—
1039	C₂×C₃×Q₈	—	5	1	no	—
1040	C₂×C₃×Q₈	—	5	1	no	—
1041	C₂×C₃×Q₈	—	5	1	no	—
1042	C₂×C₃×Q₈	—	5	1	no	—
1043	C₂×C₃×Q₈	—	5	1	no	—
1044	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
1045	C₂×C₃×D₄	—	5	1	no	—
1046	C₂×C₃×D₄	—	5	1	no	—
1047	C₂×C₃×D₄	—	5	1	no	—
1048	C₂×C₃×D₄	—	5	1	no	—
1049	C₂×C₃×D₄	—	5	1	no	—
1050	C₂×C₃×D₄	—	5	1	no	—
1051	C₂×C₃×D₄	—	5	1	no	—
1052	C₂×C₃×D₄	—	5	1	no	—
1053	C₂×C₃×D₄	—	5	1	no	—
1054	C₂×C₃×D₄	—	5	1	no	—
1055	C₂×C₃×D₄	—	5	1	no	—
1056	C₂×C₃×D₄	—	5	1	no	—
1057	C₂×C₃×D₄	—	5	1	no	—
1058	C₂×C₃×D₄	—	5	1	no	—
1059	C₂×C₃×D₄	—	5	1	no	—
1060	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1061	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1062	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1063	C₂²×C₃×C₄	—	5	1	no	—
1064	C₂²×C₃×C₄	—	5	1	no	—
1065	C₂²×C₃×C₄	—	5	1	no	—
1066	C₂²×C₃×C₄	—	5	1	no	—
1067	C₂²×C₃×C₄	—	5	1	no	—
1068	C₂²×C₃×C₄	—	5	1	no	—
1069	C₂²×C₃×C₄	—	5	1	no	—
1070	C₂²×C₃×C₄	—	5	1	no	—
1071	C₂²×C₃×C₄	—	5	1	no	—
1072	C₂²×C₃×C₄	—	5	1	no	—
1073	C₂²×C₃×C₄	—	5	1	no	—
1074	C₂²×C₃×C₄	—	5	1	no	—
1075	C₂²×C₃×C₄	—	5	1	no	—
1076	C₂²×C₃×C₄	—	5	1	no	—
1077	C₂²×C₃×C₄	—	5	1	no	—
1078	C₂²×C₃×C₄	—	5	1	no	—
1079	C₂²×C₃×C₄	—	5	1	no	—
1080	C₂²×C₃×C₄	—	10	4	no	—
1081	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1082	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1083	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1084	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1085	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1086	C₃×C₄⋊C₄	—	5	1	no	—
1087	C₃×C₄⋊C₄	—	5	1	no	—
1088	C₃×C₄⋊C₄	—	5	1	no	—
1089	C₃×C₄⋊C₄	—	5	1	no	—
1090	C₃×C₄⋊C₄	—	5	1	no	—
1091	C₃×C₄⋊C₄	—	5	1	no	—
1092	C₃×C₄⋊C₄	—	5	1	no	—
1093	C₃×C₄⋊C₄	—	5	1	no	—
1094	C₃×C₄⋊C₄	—	5	1	no	—
1095	C₃×C₄⋊C₄	—	5	1	no	—
1096	C₃×C₄⋊C₄	—	5	1	no	—
1097	C₃×C₄⋊C₄	—	5	1	no	—
1098	C₃×C₄⋊C₄	—	5	1	no	—
1099	C₃×C₄⋊C₄	—	5	1	no	—
1100	C₃×C₄⋊C₄	—	5	1	no	—
1101	C₃×C₄⋊C₄	—	5	1	no	—
1102	C₃×C₄⋊C₄	—	5	1	no	—
1103	C₃×C₄⋊C₄	—	5	1	no	—
1104	C₃×C₄⋊C₄	—	5	1	no	—
1105	C₃×C₄⋊C₄	—	5	1	no	—
1106	C₃×C₄⋊C₄	—	5	1	no	—
1107	C₃×C₄⋊C₄	—	5	1	no	—
1108	C₃×C₄⋊C₄	—	5	1	no	—
1109	C₃×C₄⋊C₄	—	5	1	no	—
1110	C₃×C₄⋊C₄	—	5	1	no	—
1111	C₃×C₄⋊C₄	—	5	1	no	—
1112	C₃×C₄⋊C₄	—	5	1	no	—
1113	C₃×C₄⋊C₄	—	5	1	no	—
1114	C₃×C₄⋊C₄	—	5	1	no	—
1115	C₃×C₄⋊C₄	—	5	1	no	—
1116	C₃×C₄⋊C₄	—	5	1	no	—
1117	C₃×C₄⋊C₄	—	5	1	no	—
1118	C₃×C₄⋊C₄	—	5	1	no	—
1119	C₃×C₄⋊C₄	—	5	1	no	—
1120	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1121	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1122	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1123	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1124	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1125	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1126	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1127	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1128	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1129	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1130	C₃×C₂²⋊C₄	—	5	1	no	—
1131	C₃×C₂²⋊C₄	—	5	1	no	—
1132	C₃×C₂²⋊C₄	—	5	1	no	—
1133	C₃×C₂²⋊C₄	—	5	1	no	—
1134	C₃×C₂²⋊C₄	—	5	1	no	—
1135	C₃×C₂²⋊C₄	—	5	1	no	—
1136	C₃×C₂²⋊C₄	—	5	1	no	—
1137	C₃×C₂²⋊C₄	—	5	1	no	—
1138	C₃×C₂²⋊C₄	—	5	1	no	—
1139	C₃×C₂²⋊C₄	—	5	1	no	—
1140	C₃×C₂²⋊C₄	—	5	1	no	—
1141	C₃×C₂²⋊C₄	—	5	1	no	—
1142	C₃×C₂²⋊C₄	—	5	1	no	—
1143	C₃×C₂²⋊C₄	—	5	1	no	—
1144	C₃×C₂²⋊C₄	—	5	1	no	—
1145	C₃×C₂²⋊C₄	—	5	1	no	—
1146	C₃×C₂²⋊C₄	—	5	1	no	—
1147	C₃×C₂²⋊C₄	—	5	1	no	—
1148	C₃×C₂²⋊C₄	—	5	1	no	—
1149	C₃×C₂²⋊C₄	—	5	1	no	—
1150	C₃×C₂²⋊C₄	—	5	1	no	—
1151	C₃×C₂²⋊C₄	—	5	1	no	—
1152	C₃×C₂²⋊C₄	—	5	1	no	—
1153	C₃×C₂²⋊C₄	—	5	1	no	—
1154	C₃×C₂²⋊C₄	—	5	1	no	—
1155	C₃×C₂²⋊C₄	—	5	1	no	—
1156	C₃×C₂²⋊C₄	—	5	1	no	—
1157	C₃×C₂²⋊C₄	—	5	1	no	—
1158	C₃×C₂²⋊C₄	—	5	1	no	—
1159	C₃×C₂²⋊C₄	—	5	1	no	—
1160	C₃×C₂²⋊C₄	—	5	1	no	—
1161	C₃×C₂²⋊C₄	—	5	1	no	—
1162	C₃×C₂²⋊C₄	—	5	1	no	—
1163	C₃×C₂²⋊C₄	—	5	1	no	—
1164	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1165	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1166	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1167	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1168	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1169	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1170	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1171	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1172	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1173	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1174	C₃×C₄²	—	5	1	no	—
1175	C₃×C₄²	—	5	1	no	—
1176	C₃×C₄²	—	5	1	no	—
1177	C₃×C₄²	—	5	1	no	—
1178	C₃×C₄²	—	5	1	no	—
1179	C₃×C₄²	—	5	1	no	—
1180	C₃×C₄²	—	5	1	no	—
1181	C₃×C₄²	—	5	1	no	—
1182	C₃×C₄²	—	5	1	no	—
1183	C₃×C₄²	—	5	1	no	—
1184	C₃×C₄²	—	5	1	no	—
1185	C₃×C₄²	—	5	1	no	—
1186	C₃×C₄²	—	5	1	no	—
1187	C₃×C₄²	—	5	1	no	—
1188	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1189	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1190	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1191	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1192	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1193	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1194	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
1195	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
1196	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
1197	C₂²×D₅	—	2	2	no	—
1198	C₂²×D₅	—	4	1	no	—
1199	C₂²×D₅	—	4	1	no	—
1200	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1201	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1202	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1203	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1204	C₅×Q₈	—	4	1	no	—
1205	C₅×D₄	—	4	1	no	—
1206	C₅×D₄	—	4	1	no	—
1207	C₅×D₄	—	4	1	no	—
1208	C₂×C₄×C₅	—	2	2	no	—
1209	C₂×C₄×C₅	—	2	2	no	—
1210	C₂×C₄×C₅	—	2	2	no	—
1211	C₂×C₄×C₅	—	4	1	no	—
1212	C₂×C₄×C₅	—	4	1	no	—
1213	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1214	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1215	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1216	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1217	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1218	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1219	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1220	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1221	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1222	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1223	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1224	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1225	C₂²⋊D₅	—	2	2	no	—
1226	C₂²⋊D₅	—	2	2	no	—
1227	C₂²⋊D₅	—	2	2	no	—
1228	C₂²⋊D₅	—	2	2	no	—
1229	C₂²⋊D₅	—	4	1	no	—
1230	C₂²⋊D₅	—	4	1	no	—
1231	C₂²⋊D₅	—	4	1	no	—
1232	C₂²⋊D₅	—	4	1	no	—
1233	C₂²⋊D₅	—	4	1	no	—
1234	C₂²⋊D₅	—	4	1	no	—
1235	C₂×Dic₅	—	2	2	no	—
1236	C₂×Dic₅	—	4	1	no	—
1237	C₂×Dic₅	—	4	1	no	—
1238	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1239	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1240	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1241	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1242	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1243	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1244	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1245	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1246	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1247	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1248	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1249	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1250	D₂₀	—	2	2	no	—
1251	D₂₀	—	2	2	no	—
1252	D₂₀	—	4	1	no	—
1253	D₂₀	—	4	1	no	—
1254	D₂₀	—	4	1	no	—
1255	C₄×D₅	—	2	2	no	—
1256	C₄×D₅	—	2	2	no	—
1257	C₄×D₅	—	2	2	no	—
1258	C₄×D₅	—	2	2	no	—
1259	C₄×D₅	—	2	2	no	—
1260	C₄×D₅	—	4	1	no	—
1261	C₄×D₅	—	4	1	no	—
1262	C₄×D₅	—	4	1	no	—
1263	C₄×D₅	—	4	1	no	—
1264	C₄×D₅	—	4	1	no	—
1265	C₄×D₅	—	4	1	no	—
1266	C₄×D₅	—	4	1	no	—
1267	C₄×D₅	—	4	1	no	—
1268	C₄×D₅	C₃×#41	1	4	yes	—
1269	Dic₁₀	—	2	2	no	—
1270	Dic₁₀	—	2	2	no	—
1271	Dic₁₀	—	4	1	no	—
1272	Dic₁₀	—	4	1	no	—
1273	Dic₁₀	—	4	1	no	—
1274	C₂×#41	—	5	1	no	—
1275	C₂×#41	—	5	1	no	—
1276	C₂³×C₄	—	5	1	no	—
1277	C₄⋊Q₈	—	5	1	no	—
1278	C₄⋊Q₈	—	5	1	no	—
1279	C₄⋊Q₈	—	5	1	no	—
1280	#127	—	5	1	no	—
1281	#126	—	5	1	no	—
1282	#126	—	5	1	no	—
1283	#126	—	5	1	no	—
1284	#126	—	5	1	no	—
1285	#126	—	5	1	no	—
1286	#126	—	5	1	no	—
1287	#126	—	5	1	no	—
1288	#126	—	5	1	no	—
1289	#126	—	5	1	no	—
1290	#126	—	5	1	no	—
1291	#126	—	5	1	no	—
1292	#126	—	5	1	no	—
1293	#126	—	5	1	no	—
1294	#126	—	5	1	no	—
1295	#126	C₂×C₃×D₅	1	1	yes	characteristic
1296	#126	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1297	#125	—	5	1	no	—
1298	#125	—	5	1	no	—
1299	#125	—	5	1	no	—
1300	#125	—	5	1	no	—
1301	#125	—	5	1	no	—
1302	#125	—	5	1	no	—
1303	#125	—	5	1	no	—
1304	#125	—	5	1	no	—
1305	#125	—	5	1	no	—
1306	#125	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1307	#124	—	5	1	no	—
1308	#124	—	5	1	no	—
1309	#124	—	5	1	no	—
1310	#124	—	5	1	no	—
1311	#124	—	5	1	no	—
1312	#124	—	5	1	no	—
1313	#124	—	5	1	no	—
1314	#124	—	5	1	no	—
1315	#124	—	5	1	no	—
1316	#124	C₂×C₃×D₅	1	1	yes	characteristic
1317	#123	—	5	1	no	—
1318	#123	—	5	1	no	—
1319	#123	—	5	1	no	—
1320	#123	—	5	1	no	—
1321	#123	—	5	1	no	—
1322	#123	—	5	1	no	—
1323	#123	—	5	1	no	—
1324	#123	—	5	1	no	—
1325	#123	—	5	1	no	—
1326	#123	—	5	1	no	—
1327	#123	—	5	1	no	—
1328	#123	—	5	1	no	—
1329	#123	—	5	1	no	—
1330	#123	—	5	1	no	—
1331	#123	—	5	1	no	—
1332	#123	—	5	1	no	—
1333	#123	—	5	1	no	—
1334	#123	—	5	1	no	—
1335	#123	C₂×C₃×D₅	1	1	yes	characteristic
1336	#123	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1337	C₂²⋊Q₈	—	5	1	no	—
1338	C₂²⋊Q₈	—	5	1	no	—
1339	C₂²⋊Q₈	—	5	1	no	—
1340	C₂²⋊Q₈	—	5	1	no	—
1341	C₂²⋊Q₈	—	5	1	no	—
1342	C₂²⋊Q₈	—	5	1	no	—
1343	C₂²⋊Q₈	—	5	1	no	—
1344	C₂²⋊Q₈	—	5	1	no	—
1345	C₂²⋊Q₈	—	5	1	no	—
1346	C₂²⋊Q₈	—	5	1	no	—
1347	C₂²⋊Q₈	—	5	1	no	—
1348	C₂²⋊Q₈	—	5	1	no	—
1349	C₂²⋊Q₈	—	5	1	no	—
1350	C₂²⋊Q₈	—	5	1	no	—
1351	C₂²⋊Q₈	—	5	1	no	—
1352	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1353	#121	—	5	1	no	—
1354	#121	—	5	1	no	—
1355	#121	—	5	1	no	—
1356	#121	—	5	1	no	—
1357	#121	—	5	1	no	—
1358	#121	—	5	1	no	—
1359	#121	—	5	1	no	—
1360	#121	—	5	1	no	—
1361	#121	—	5	1	no	—
1362	#121	—	5	1	no	—
1363	#121	—	5	1	no	—
1364	#121	—	5	1	no	—
1365	#121	—	5	1	no	—
1366	#121	—	5	1	no	—
1367	#121	—	5	1	no	—
1368	#121	C₂×C₃×D₅	1	1	yes	characteristic
1369	#120	—	5	1	no	—
1370	#120	—	5	1	no	—
1371	#120	—	5	1	no	—
1372	#120	—	5	1	no	—
1373	C₄×Q₈	—	5	1	no	—
1374	C₄×Q₈	—	5	1	no	—
1375	C₄×Q₈	—	5	1	no	—
1376	C₄×Q₈	—	5	1	no	—
1377	C₄×Q₈	—	5	1	no	—
1378	C₄×Q₈	—	5	1	no	—
1379	C₄×Q₈	—	5	1	no	—
1380	C₄×Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1381	C₄×D₄	—	5	1	no	—
1382	C₄×D₄	—	5	1	no	—
1383	C₄×D₄	—	5	1	no	—
1384	C₄×D₄	—	5	1	no	—
1385	C₄×D₄	—	5	1	no	—
1386	C₄×D₄	—	5	1	no	—
1387	C₄×D₄	—	5	1	no	—
1388	C₄×D₄	—	5	1	no	—
1389	C₄×D₄	—	5	1	no	—
1390	C₄×D₄	—	5	1	no	—
1391	C₄×D₄	—	5	1	no	—
1392	C₄×D₄	—	5	1	no	—
1393	C₄×D₄	—	5	1	no	—
1394	C₄×D₄	—	5	1	no	—
1395	C₄×D₄	—	5	1	no	—
1396	C₄×D₄	—	5	1	no	—
1397	C₄×D₄	—	5	1	no	—
1398	C₄×D₄	—	5	1	no	—
1399	C₄×D₄	—	5	1	no	—
1400	C₄×D₄	—	5	1	no	—
1401	C₄×D₄	—	5	1	no	—
1402	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic
1403	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic
1404	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1405	#117	—	5	1	no	—
1406	#117	—	5	1	no	—
1407	#117	—	5	1	no	—
1408	#117	—	5	1	no	—
1409	#117	—	5	1	no	—
1410	#117	—	5	1	no	—
1411	#117	—	5	1	no	—
1412	#117	—	5	1	no	—
1413	#117	—	5	1	no	—
1414	#117	—	5	1	no	—
1415	#117	—	5	1	no	—
1416	#117	—	5	1	no	—
1417	#117	C₂×C₃×D₅	1	1	yes	characteristic
1418	#117	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1419	C₂×C₄⋊C₄	—	5	1	no	—
1420	C₂×C₄⋊C₄	—	5	1	no	—
1421	C₂×C₂²⋊C₄	—	5	1	no	—
1422	C₂×C₂²⋊C₄	—	5	1	no	—
1423	C₂×C₄²	—	5	1	no	—
1424	C₂×C₄²	—	5	1	no	—
1425	C₂×C₄²	—	5	1	no	—
1426	C₂×C₄²	—	5	1	no	—
1427	C₂×C₄²	—	5	1	no	—
1428	C₂×C₄²	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1429	C₂×C₃×C₅	—	4	1	no	—
1430	C₂×C₃×C₅	—	4	1	no	—
1431	C₂×C₃×C₅	—	4	1	no	—
1432	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1433	C₂×C₃×C₅	#585	1	1	yes	characteristic
1434	C₂×C₃×C₅	#585	1	1	yes	characteristic
1435	C₃×D₅	—	2	2	no	—
1436	C₃×D₅	—	4	1	no	—
1437	C₃×D₅	—	4	1	no	—
1438	C₃×D₅	—	4	1	no	—
1439	C₂³×C₃	—	5	1	no	—
1440	C₂³×C₃	—	5	1	no	—
1441	C₂³×C₃	—	5	1	no	—
1442	C₂³×C₃	—	5	1	no	—
1443	C₂³×C₃	—	10	2	no	—
1444	C₂³×C₃	—	20	1	no	—
1445	C₂³×C₃	—	20	1	no	—
1446	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1447	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1448	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1449	C₃×Q₈	—	4	1	no	—
1450	C₃×Q₈	—	10	2	no	—
1451	C₃×Q₈	—	10	2	no	—
1452	C₃×Q₈	—	20	1	no	—
1453	C₃×Q₈	—	20	1	no	—
1454	C₃×Q₈	—	20	1	no	—
1455	C₃×D₄	—	4	1	no	—
1456	C₃×D₄	—	4	1	no	—
1457	C₃×D₄	—	4	1	no	—
1458	C₃×D₄	—	10	2	no	—
1459	C₃×D₄	—	10	2	no	—
1460	C₃×D₄	—	10	2	no	—
1461	C₃×D₄	—	10	2	no	—
1462	C₃×D₄	—	10	2	no	—
1463	C₃×D₄	—	10	2	no	—
1464	C₃×D₄	—	20	1	no	—
1465	C₃×D₄	—	20	1	no	—
1466	C₃×D₄	—	20	1	no	—
1467	C₃×D₄	—	20	1	no	—
1468	C₃×D₄	—	20	1	no	—
1469	C₃×D₄	—	20	1	no	—
1470	C₃×D₄	—	20	1	no	—
1471	C₃×D₄	—	20	1	no	—
1472	C₃×D₄	—	20	1	no	—
1473	C₂×C₃×C₄	—	2	2	no	—
1474	C₂×C₃×C₄	—	2	2	no	—
1475	C₂×C₃×C₄	—	2	2	no	—
1476	C₂×C₃×C₄	—	4	1	no	—
1477	C₂×C₃×C₄	—	4	1	no	—
1478	C₂×C₃×C₄	—	5	1	no	—
1479	C₂×C₃×C₄	—	5	4	no	—
1480	C₂×C₃×C₄	—	5	1	no	—
1481	C₂×C₃×C₄	—	5	1	no	—
1482	C₂×C₃×C₄	—	5	1	no	—
1483	C₂×C₃×C₄	—	5	1	no	—
1484	C₂×C₃×C₄	—	5	1	no	—
1485	C₂×C₃×C₄	—	5	1	no	—
1486	C₂×C₃×C₄	—	5	1	no	—
1487	C₂×C₃×C₄	—	5	1	no	—
1488	C₂×C₃×C₄	—	5	1	no	—
1489	C₂×C₃×C₄	—	5	1	no	—
1490	C₂×C₃×C₄	—	5	1	no	—
1491	C₂×C₃×C₄	—	10	2	no	—
1492	C₂×C₃×C₄	—	10	2	no	—
1493	C₂×C₃×C₄	—	10	2	no	—
1494	C₂×C₃×C₄	—	10	2	no	—
1495	C₂×C₃×C₄	—	10	2	no	—
1496	C₂×C₃×C₄	—	10	2	no	—
1497	C₂×C₃×C₄	—	20	1	no	—
1498	C₂×C₃×C₄	—	20	1	no	—
1499	C₂×C₃×C₄	—	20	1	no	—
1500	C₂×C₃×C₄	—	20	1	no	—
1501	C₂×C₃×C₄	—	20	1	no	—
1502	C₂×C₃×C₄	—	20	1	no	—
1503	C₂×C₃×C₄	—	20	1	no	—
1504	C₂×C₃×C₄	—	20	1	no	—
1505	C₂×C₃×C₄	—	20	1	no	—
1506	C₂×C₃×C₄	—	20	1	no	—
1507	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1508	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1509	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1510	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1513	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1514	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1515	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1516	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1517	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1518	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1519	C₂²×C₅	—	2	1	no	—
1520	C₂²×C₅	—	2	1	no	—
1521	C₂²×C₅	—	2	1	no	—
1522	C₂²×C₅	—	2	1	no	—
1523	C₂²×C₅	—	2	1	no	—
1524	C₂²×C₅	—	2	1	no	—
1525	C₂²×C₅	—	2	1	no	—
1526	C₂²×C₅	—	2	1	no	—
1527	C₂²×C₅	—	2	1	no	—
1528	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1529	C₂×D₅	—	2	1	no	—
1530	C₂×D₅	—	2	1	no	—
1531	C₂×D₅	—	2	1	no	—
1532	C₂×D₅	—	2	1	no	—
1533	C₂×D₅	—	2	1	no	—
1534	C₂×D₅	—	2	1	no	—
1535	C₂×D₅	—	2	1	no	—
1536	C₂×D₅	—	2	1	no	—
1537	C₂×D₅	—	2	1	no	—
1538	C₂×D₅	—	2	1	no	—
1539	C₂×D₅	—	2	1	no	—
1540	C₂×D₅	—	4	4	no	—
1541	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1542	C₄×C₅	—	2	1	no	—
1543	C₄×C₅	—	2	1	no	—
1544	C₄×C₅	—	2	1	no	—
1545	C₄×C₅	—	2	1	no	—
1546	C₄×C₅	—	2	1	no	—
1547	C₄×C₅	—	2	1	no	—
1548	C₄×C₅	—	2	1	no	—
1549	C₄×C₅	—	2	1	no	—
1550	C₄×C₅	—	2	1	no	—
1551	C₄×C₅	—	2	1	no	—
1552	C₄×C₅	—	2	1	no	—
1553	C₄×C₅	C₂×C₃×#41	1	2	yes	—
1554	Dic₅	—	2	1	no	—
1555	Dic₅	—	2	1	no	—
1556	Dic₅	—	2	1	no	—
1557	Dic₅	—	2	1	no	—
1558	Dic₅	—	2	1	no	—
1559	Dic₅	—	2	1	no	—
1560	Dic₅	—	2	1	no	—
1561	Dic₅	—	2	1	no	—
1562	Dic₅	—	2	1	no	—
1563	Dic₅	—	2	1	no	—
1564	Dic₅	—	2	1	no	—
1565	Dic₅	C₂×C₃×#41	1	2	yes	—
1566	C₂⁴	—	5	1	no	—
1567	#41	—	10	4	no	—
1568	#41	—	10	4	no	—
1569	C₂×Q₈	—	5	1	no	—
1570	C₂×Q₈	—	5	1	no	—
1571	C₂×Q₈	—	5	1	no	—
1572	C₂×Q₈	—	5	1	no	—
1573	C₂×Q₈	—	5	1	no	—
1574	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic
1575	C₂×D₄	—	5	1	no	—
1576	C₂×D₄	—	5	1	no	—
1577	C₂×D₄	—	5	1	no	—
1578	C₂×D₄	—	5	1	no	—
1579	C₂×D₄	—	5	1	no	—
1580	C₂×D₄	—	5	1	no	—
1581	C₂×D₄	—	5	1	no	—
1582	C₂×D₄	—	5	1	no	—
1583	C₂×D₄	—	5	1	no	—
1584	C₂×D₄	—	5	1	no	—
1585	C₂×D₄	—	5	1	no	—
1586	C₂×D₄	—	5	1	no	—
1587	C₂×D₄	—	5	1	no	—
1588	C₂×D₄	—	5	1	no	—
1589	C₂×D₄	—	5	1	no	—
1590	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1591	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1592	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1593	C₂²×C₄	—	5	1	no	—
1594	C₂²×C₄	—	5	1	no	—
1595	C₂²×C₄	—	5	1	no	—
1596	C₂²×C₄	—	5	1	no	—
1597	C₂²×C₄	—	5	1	no	—
1598	C₂²×C₄	—	5	1	no	—
1599	C₂²×C₄	—	5	1	no	—
1600	C₂²×C₄	—	5	1	no	—
1601	C₂²×C₄	—	5	1	no	—
1602	C₂²×C₄	—	5	1	no	—
1603	C₂²×C₄	—	5	1	no	—
1604	C₂²×C₄	—	5	1	no	—
1605	C₂²×C₄	—	5	1	no	—
1606	C₂²×C₄	—	5	1	no	—
1607	C₂²×C₄	—	5	1	no	—
1608	C₂²×C₄	—	5	1	no	—
1609	C₂²×C₄	—	5	1	no	—
1610	C₂²×C₄	—	10	4	no	—
1611	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1612	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1613	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1614	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1615	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1616	C₄⋊C₄	—	5	1	no	—
1617	C₄⋊C₄	—	5	1	no	—
1618	C₄⋊C₄	—	5	1	no	—
1619	C₄⋊C₄	—	5	1	no	—
1620	C₄⋊C₄	—	5	1	no	—
1621	C₄⋊C₄	—	5	1	no	—
1622	C₄⋊C₄	—	5	1	no	—
1623	C₄⋊C₄	—	5	1	no	—
1624	C₄⋊C₄	—	5	1	no	—
1625	C₄⋊C₄	—	5	1	no	—
1626	C₄⋊C₄	—	5	1	no	—
1627	C₄⋊C₄	—	5	1	no	—
1628	C₄⋊C₄	—	5	1	no	—
1629	C₄⋊C₄	—	5	1	no	—
1630	C₄⋊C₄	—	5	1	no	—
1631	C₄⋊C₄	—	5	1	no	—
1632	C₄⋊C₄	—	5	1	no	—
1633	C₄⋊C₄	—	5	1	no	—
1634	C₄⋊C₄	—	5	1	no	—
1635	C₄⋊C₄	—	5	1	no	—
1636	C₄⋊C₄	—	5	1	no	—
1637	C₄⋊C₄	—	5	1	no	—
1638	C₄⋊C₄	—	5	1	no	—
1639	C₄⋊C₄	—	5	1	no	—
1640	C₄⋊C₄	—	5	1	no	—
1641	C₄⋊C₄	—	5	1	no	—
1642	C₄⋊C₄	—	5	1	no	—
1643	C₄⋊C₄	—	5	1	no	—
1644	C₄⋊C₄	—	5	1	no	—
1645	C₄⋊C₄	—	5	1	no	—
1646	C₄⋊C₄	—	5	1	no	—
1647	C₄⋊C₄	—	5	1	no	—
1648	C₄⋊C₄	—	5	1	no	—
1649	C₄⋊C₄	—	5	1	no	—
1650	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1651	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1652	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1653	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1654	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1655	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1656	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1657	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1658	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1659	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1660	C₂²⋊C₄	—	5	1	no	—
1661	C₂²⋊C₄	—	5	1	no	—
1662	C₂²⋊C₄	—	5	1	no	—
1663	C₂²⋊C₄	—	5	1	no	—
1664	C₂²⋊C₄	—	5	1	no	—
1665	C₂²⋊C₄	—	5	1	no	—
1666	C₂²⋊C₄	—	5	1	no	—
1667	C₂²⋊C₄	—	5	1	no	—
1668	C₂²⋊C₄	—	5	1	no	—
1669	C₂²⋊C₄	—	5	1	no	—
1670	C₂²⋊C₄	—	5	1	no	—
1671	C₂²⋊C₄	—	5	1	no	—
1672	C₂²⋊C₄	—	5	1	no	—
1673	C₂²⋊C₄	—	5	1	no	—
1674	C₂²⋊C₄	—	5	1	no	—
1675	C₂²⋊C₄	—	5	1	no	—
1676	C₂²⋊C₄	—	5	1	no	—
1677	C₂²⋊C₄	—	5	1	no	—
1678	C₂²⋊C₄	—	5	1	no	—
1679	C₂²⋊C₄	—	5	1	no	—
1680	C₂²⋊C₄	—	5	1	no	—
1681	C₂²⋊C₄	—	5	1	no	—
1682	C₂²⋊C₄	—	5	1	no	—
1683	C₂²⋊C₄	—	5	1	no	—
1684	C₂²⋊C₄	—	5	1	no	—
1685	C₂²⋊C₄	—	5	1	no	—
1686	C₂²⋊C₄	—	5	1	no	—
1687	C₂²⋊C₄	—	5	1	no	—
1688	C₂²⋊C₄	—	5	1	no	—
1689	C₂²⋊C₄	—	5	1	no	—
1690	C₂²⋊C₄	—	5	1	no	—
1691	C₂²⋊C₄	—	5	1	no	—
1692	C₂²⋊C₄	—	5	1	no	—
1693	C₂²⋊C₄	—	5	1	no	—
1694	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1695	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1696	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1697	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1698	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1699	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1700	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1701	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1702	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1703	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1704	C₄²	—	5	1	no	—
1705	C₄²	—	5	1	no	—
1706	C₄²	—	5	1	no	—
1707	C₄²	—	5	1	no	—
1708	C₄²	—	5	1	no	—
1709	C₄²	—	5	1	no	—
1710	C₄²	—	5	1	no	—
1711	C₄²	—	5	1	no	—
1712	C₄²	—	5	1	no	—
1713	C₄²	—	5	1	no	—
1714	C₄²	—	5	1	no	—
1715	C₄²	—	5	1	no	—
1716	C₄²	—	5	1	no	—
1717	C₄²	—	5	1	no	—
1718	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1719	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1720	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1721	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1722	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1723	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1724	C₃×C₅	#3455	1	1	yes	characteristic, complemented, Hall
1725	C₂²×C₃	—	2	1	no	—
1726	C₂²×C₃	—	2	1	no	—
1727	C₂²×C₃	—	2	1	no	—
1728	C₂²×C₃	—	2	1	no	—
1729	C₂²×C₃	—	2	1	no	—
1730	C₂²×C₃	—	2	1	no	—
1731	C₂²×C₃	—	2	1	no	—
1732	C₂²×C₃	—	2	1	no	—
1733	C₂²×C₃	—	2	1	no	—
1734	C₂²×C₃	—	5	2	no	—
1735	C₂²×C₃	—	10	1	no	—
1736	C₂²×C₃	—	10	1	no	—
1737	C₂²×C₃	—	10	1	no	—
1738	C₂²×C₃	—	10	1	no	—
1739	C₂²×C₃	—	10	1	no	—
1740	C₂²×C₃	—	10	1	no	—
1741	C₂²×C₃	—	10	1	no	—
1742	C₂²×C₃	—	10	1	no	—
1743	C₂²×C₃	—	10	1	no	—
1744	C₂²×C₃	—	10	1	no	—
1745	C₂²×C₃	—	10	1	no	—
1746	C₂²×C₃	—	20	4	no	—
1747	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1748	C₃×C₄	—	2	1	no	—
1749	C₃×C₄	—	2	1	no	—
1750	C₃×C₄	—	2	1	no	—
1751	C₃×C₄	—	2	1	no	—
1752	C₃×C₄	—	2	1	no	—
1753	C₃×C₄	—	2	1	no	—
1754	C₃×C₄	—	2	1	no	—
1755	C₃×C₄	—	2	1	no	—
1756	C₃×C₄	—	2	1	no	—
1757	C₃×C₄	—	2	1	no	—
1758	C₃×C₄	—	2	1	no	—
1759	C₃×C₄	—	5	2	no	—
1760	C₃×C₄	—	10	1	no	—
1761	C₃×C₄	—	10	1	no	—
1762	C₃×C₄	—	10	1	no	—
1763	C₃×C₄	—	10	1	no	—
1764	C₃×C₄	—	10	1	no	—
1765	C₃×C₄	—	10	1	no	—
1766	C₃×C₄	—	10	1	no	—
1767	C₃×C₄	—	10	1	no	—
1768	C₃×C₄	—	10	1	no	—
1769	C₃×C₄	—	10	1	no	—
1770	C₃×C₄	—	10	1	no	—
1771	C₃×C₄	D₅×#41	1	2	yes	—
1772	C₂×C₅	—	4	1	no	—
1773	C₂×C₅	—	4	1	no	—
1774	C₂×C₅	—	4	1	no	—
1775	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1776	C₂×C₅	C₃×#585	1	1	yes	characteristic
1777	C₂×C₅	C₃×#585	1	1	yes	characteristic
1778	D₅	—	2	2	no	—
1779	D₅	—	4	1	no	—
1780	D₅	—	4	1	no	—
1781	D₅	—	4	1	no	—
1782	C₂³	—	5	1	no	—
1783	C₂³	—	5	1	no	—
1784	C₂³	—	5	1	no	—
1785	C₂³	—	5	1	no	—
1786	C₂³	—	10	2	no	—
1787	C₂³	—	20	1	no	—
1788	C₂³	—	20	1	no	—
1789	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1790	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1791	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1792	Q₈	—	4	1	no	—
1793	Q₈	—	10	2	no	—
1794	Q₈	—	10	2	no	—
1795	Q₈	—	20	1	no	—
1796	Q₈	—	20	1	no	—
1797	Q₈	—	20	1	no	—
1798	D₄	—	4	1	no	—
1799	D₄	—	4	1	no	—
1800	D₄	—	4	1	no	—
1801	D₄	—	10	2	no	—
1802	D₄	—	10	2	no	—
1803	D₄	—	10	2	no	—
1804	D₄	—	10	2	no	—
1805	D₄	—	10	2	no	—
1806	D₄	—	10	2	no	—
1807	D₄	—	20	1	no	—
1808	D₄	—	20	1	no	—
1809	D₄	—	20	1	no	—
1810	D₄	—	20	1	no	—
1811	D₄	—	20	1	no	—
1812	D₄	—	20	1	no	—
1813	D₄	—	20	1	no	—
1814	D₄	—	20	1	no	—
1815	D₄	—	20	1	no	—
1816	C₂×C₄	—	2	2	no	—
1817	C₂×C₄	—	2	2	no	—
1818	C₂×C₄	—	2	2	no	—
1819	C₂×C₄	—	4	1	no	—
1820	C₂×C₄	—	4	1	no	—
1821	C₂×C₄	—	5	1	no	—
1822	C₂×C₄	—	5	4	no	—
1823	C₂×C₄	—	5	1	no	—
1824	C₂×C₄	—	5	1	no	—
1825	C₂×C₄	—	5	1	no	—
1826	C₂×C₄	—	5	1	no	—
1827	C₂×C₄	—	5	1	no	—
1828	C₂×C₄	—	5	1	no	—
1829	C₂×C₄	—	5	1	no	—
1830	C₂×C₄	—	5	1	no	—
1831	C₂×C₄	—	5	1	no	—
1832	C₂×C₄	—	5	1	no	—
1833	C₂×C₄	—	5	1	no	—
1834	C₂×C₄	—	10	2	no	—
1835	C₂×C₄	—	10	2	no	—
1836	C₂×C₄	—	10	2	no	—
1837	C₂×C₄	—	10	2	no	—
1838	C₂×C₄	—	10	2	no	—
1839	C₂×C₄	—	10	2	no	—
1840	C₂×C₄	—	20	1	no	—
1841	C₂×C₄	—	20	1	no	—
1842	C₂×C₄	—	20	1	no	—
1843	C₂×C₄	—	20	1	no	—
1844	C₂×C₄	—	20	1	no	—
1845	C₂×C₄	—	20	1	no	—
1846	C₂×C₄	—	20	1	no	—
1847	C₂×C₄	—	20	1	no	—
1848	C₂×C₄	—	20	1	no	—
1849	C₂×C₄	—	20	1	no	—
1850	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1851	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1852	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1853	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1854	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1855	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1856	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1857	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1858	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1859	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1860	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1861	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1862	C₂×C₃	—	4	1	no	—
1863	C₂×C₃	—	4	1	no	—
1864	C₂×C₃	—	4	1	no	—
1865	C₂×C₃	—	10	2	no	—
1866	C₂×C₃	—	20	1	no	—
1867	C₂×C₃	—	20	1	no	—
1868	C₂×C₃	—	20	1	no	—
1869	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1870	C₂×C₃	#66283	1	1	yes	characteristic
1871	C₂×C₃	#66283	1	1	yes	characteristic
1872	C₅	C₃×#3455	1	1	yes	characteristic, complemented, Sylow
1873	C₂²	—	2	1	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	5	2	no	—
1883	C₂²	—	10	1	no	—
1884	C₂²	—	10	1	no	—
1885	C₂²	—	10	1	no	—
1886	C₂²	—	10	1	no	—
1887	C₂²	—	10	1	no	—
1888	C₂²	—	10	1	no	—
1889	C₂²	—	10	1	no	—
1890	C₂²	—	10	1	no	—
1891	C₂²	—	10	1	no	—
1892	C₂²	—	10	1	no	—
1893	C₂²	—	10	1	no	—
1894	C₂²	—	20	4	no	—
1895	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1896	C₄	—	2	1	no	—
1897	C₄	—	2	1	no	—
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	2	1	no	—
1903	C₄	—	2	1	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	5	2	no	—
1908	C₄	—	10	1	no	—
1909	C₄	—	10	1	no	—
1910	C₄	—	10	1	no	—
1911	C₄	—	10	1	no	—
1912	C₄	—	10	1	no	—
1913	C₄	—	10	1	no	—
1914	C₄	—	10	1	no	—
1915	C₄	—	10	1	no	—
1916	C₄	—	10	1	no	—
1917	C₄	—	10	1	no	—
1918	C₄	—	10	1	no	—
1919	C₄	C₃×D₅×#41	1	2	yes	—
1920	C₃	#10618047	1	1	yes	characteristic, direct product factor, Sylow
1921	C₂	—	4	1	no	—
1922	C₂	—	4	1	no	—
1923	C₂	—	4	1	no	—
1924	C₂	—	10	2	no	—
1925	C₂	—	20	1	no	—
1926	C₂	—	20	1	no	—
1927	C₂	—	20	1	no	—
1928	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1929	C₂	C₃×#66283	1	1	yes	characteristic
1930	C₂	C₃×#66283	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₃×C₄	C₂³×D₅
commutator, cosocle	C₂²×C₅	C₂⁵×C₃
Frattini	C₂²	C₂⁴×C₃×D₅
Fitting	C₃×C₅×#529	C₂
socle	C₂²×C₃×C₅	C₂⁵
hypercenter	C₃×#529	D₅
hypocenter	C₅	C₃×#3455
LCS	G ▷ C₂²×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₃×C₄ ◁ C₃×#529

Complements

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

N	H ≅ G/N	type
1. C₃×C₅×#529	C₂	semidirect
2. C₃×#66044	C₂	semidirect
3. C₃×#66041	C₂	semidirect
4. C₃×#66038	C₂	semidirect
5. C₃×#66035	C₂	semidirect
6. C₃×#66030	C₂	semidirect
7. C₃×#66026	C₂	semidirect
8. C₃×#66012	C₂	semidirect
9. C₃×#66003	C₂	semidirect
10. C₃×#65997	C₂	semidirect
11. C₃×#65996	C₂	semidirect
12. C₃×#65994	C₂	semidirect
13. C₃×#65991	C₂	semidirect
14. C₃×#65974	C₂	semidirect
15. C₃×#65972	C₂	semidirect
16. C₃×#65949	C₂	semidirect
17. C₃×#65947	C₂	semidirect
18. C₃×#65914	C₂	semidirect
19. C₃×#65912	C₂	semidirect
20. C₃×#65891	C₂	semidirect
21. C₃×#65882	C₂	semidirect
22. C₃×#65881	C₂	semidirect
23. C₃×#65881	C₂	semidirect
24. C₃×#65872	C₂	semidirect
25. C₃×#65872	C₂	semidirect
26. C₃×#65862	C₂	semidirect
27. C₃×#65862	C₂	semidirect
28. C₃×#65856	C₂	semidirect
29. C₃×D₅×#117	C₂	semidirect
30. C₃×#65813	C₂	semidirect
31. C₃×C₄×#709	C₂	semidirect
32. #10618047	C₃	direct (N × H)
37. C₃×C₅×#126	C₂²	semidirect
38. C₃×C₅×#125	C₂²	semidirect
41. C₃×C₅×#123	C₂²	semidirect
42. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
44. C₃×C₄×C₅×Q₈	C₂²	semidirect
47. C₃×C₄×C₅×D₄	C₂²	semidirect
49. C₃×C₅×#117	C₂²	semidirect
50. C₂×C₃×C₄²×C₅	C₂²	semidirect
53. C₃×#4092	C₂²	semidirect
54. C₃×#4090	C₂²	semidirect
55. C₃×#4086	C₂²	semidirect
66. C₃×#4081	C₂²	semidirect
69. C₃×#4075	C₂²	semidirect
76. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
77. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
78. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
79. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
81. C₃×#4072	C₂²	semidirect
82. C₃×#4070	C₂²	semidirect
83. C₂×C₃×C₄×Dic₅	C₂²	semidirect
87. C₃×#4044	C₂²	semidirect
88. C₃×#4044	C₂²	semidirect
89. C₃×#4044	C₂²	semidirect
91. C₃×#4043	C₂²	semidirect
96. C₃×#4042	C₂²	semidirect
97. C₃×#4042	C₂²	semidirect
104. C₃×#4040	C₂²	semidirect
105. C₃×#4040	C₂²	semidirect
112. C₃×#4036	C₂²	semidirect
113. C₃×#4036	C₂²	semidirect
114. C₃×#4035	C₂²	semidirect
115. C₃×#4035	C₂²	semidirect
116. C₃×#4035	C₂²	semidirect
117. C₃×#4035	C₂²	semidirect
118. C₃×#4035	C₂²	semidirect
119. C₃×#4035	C₂²	semidirect
120. C₃×#4034	C₂²	semidirect
121. C₃×#4034	C₂²	semidirect
122. C₃×#4033	C₂²	semidirect
123. C₃×#4033	C₂²	semidirect
125. C₃×#4032	C₂²	semidirect
130. C₃×#4031	C₂²	semidirect
131. C₃×#4031	C₂²	semidirect
142. C₃×#4029	C₂²	semidirect
143. C₃×#4029	C₂²	semidirect
148. C₃×#4027	C₂²	semidirect
149. C₃×#4027	C₂²	semidirect
155. C₃×#4025	C₂²	semidirect
156. C₃×#4025	C₂²	semidirect
157. C₃×#4025	C₂²	semidirect
160. C₃×#4024	C₂²	semidirect
161. C₃×#4024	C₂²	semidirect
165. C₃×#4022	C₂²	semidirect
171. C₃×C₄×D₂₀	C₂²	semidirect
176. C₃×#4018	C₂²	semidirect
177. C₃×#4018	C₂²	semidirect
180. C₃×C₄²×D₅	C₂²	semidirect
181. C₃×C₄²×D₅	C₂²	semidirect
182. C₃×#4016	C₂²	semidirect
183. C₃×C₄×Dic₁₀	C₂²	semidirect
184. C₃×C₄×Dic₁₀	C₂²	semidirect
185. C₃×C₄×Dic₁₀	C₂²	semidirect
186. C₃×C₄×Dic₁₀	C₂²	semidirect
187. C₃×C₄×Dic₁₀	C₂²	semidirect
189. C₅×#529	C₂×C₃	semidirect
190. #66044	C₂×C₃	semidirect
191. #66041	C₂×C₃	semidirect
192. #66038	C₂×C₃	semidirect
193. #66035	C₂×C₃	semidirect
194. #66030	C₂×C₃	semidirect
195. #66026	C₂×C₃	semidirect
196. #66012	C₂×C₃	semidirect
197. #66003	C₂×C₃	semidirect
198. #65997	C₂×C₃	semidirect
199. #65996	C₂×C₃	semidirect
200. #65994	C₂×C₃	semidirect
201. #65991	C₂×C₃	semidirect
202. #65974	C₂×C₃	semidirect
203. #65972	C₂×C₃	semidirect
204. #65949	C₂×C₃	semidirect
205. #65947	C₂×C₃	semidirect
206. #65914	C₂×C₃	semidirect
207. #65912	C₂×C₃	semidirect
208. #65891	C₂×C₃	semidirect
209. #65882	C₂×C₃	semidirect
210. #65881	C₂×C₃	semidirect
211. #65881	C₂×C₃	semidirect
212. #65872	C₂×C₃	semidirect
213. #65872	C₂×C₃	semidirect
214. #65862	C₂×C₃	semidirect
215. #65862	C₂×C₃	semidirect
216. #65856	C₂×C₃	semidirect
217. D₅×#117	C₂×C₃	semidirect
218. #65813	C₂×C₃	semidirect
219. C₄×#709	C₂×C₃	semidirect
403. C₃×#529	D₅	semidirect
413. C₅×#126	C₂²×C₃	semidirect
414. C₅×#125	C₂²×C₃	semidirect
417. C₅×#123	C₂²×C₃	semidirect
418. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
420. C₄×C₅×Q₈	C₂²×C₃	semidirect
423. C₄×C₅×D₄	C₂²×C₃	semidirect
425. C₅×#117	C₂²×C₃	semidirect
426. C₂×C₄²×C₅	C₂²×C₃	semidirect
429. #4092	C₂²×C₃	semidirect
430. #4090	C₂²×C₃	semidirect
431. #4086	C₂²×C₃	semidirect
442. #4081	C₂²×C₃	semidirect
445. #4075	C₂²×C₃	semidirect
452. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
453. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
454. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
455. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
457. #4072	C₂²×C₃	semidirect
458. #4070	C₂²×C₃	semidirect
459. C₂×C₄×Dic₅	C₂²×C₃	semidirect
463. #4044	C₂²×C₃	semidirect
464. #4044	C₂²×C₃	semidirect
465. #4044	C₂²×C₃	semidirect
467. #4043	C₂²×C₃	semidirect
472. #4042	C₂²×C₃	semidirect
473. #4042	C₂²×C₃	semidirect
480. #4040	C₂²×C₃	semidirect
481. #4040	C₂²×C₃	semidirect
488. #4036	C₂²×C₃	semidirect
489. #4036	C₂²×C₃	semidirect
490. #4035	C₂²×C₃	semidirect
491. #4035	C₂²×C₃	semidirect
492. #4035	C₂²×C₃	semidirect
493. #4035	C₂²×C₃	semidirect
494. #4035	C₂²×C₃	semidirect
495. #4035	C₂²×C₃	semidirect
496. #4034	C₂²×C₃	semidirect
497. #4034	C₂²×C₃	semidirect
498. #4033	C₂²×C₃	semidirect
499. #4033	C₂²×C₃	semidirect
501. #4032	C₂²×C₃	semidirect
506. #4031	C₂²×C₃	semidirect
507. #4031	C₂²×C₃	semidirect
518. #4029	C₂²×C₃	semidirect
519. #4029	C₂²×C₃	semidirect
524. #4027	C₂²×C₃	semidirect
525. #4027	C₂²×C₃	semidirect
531. #4025	C₂²×C₃	semidirect
532. #4025	C₂²×C₃	semidirect
533. #4025	C₂²×C₃	semidirect
536. #4024	C₂²×C₃	semidirect
537. #4024	C₂²×C₃	semidirect
541. #4022	C₂²×C₃	semidirect
547. C₄×D₂₀	C₂²×C₃	semidirect
552. #4018	C₂²×C₃	semidirect
553. #4018	C₂²×C₃	semidirect
556. C₄²×D₅	C₂²×C₃	semidirect
557. C₄²×D₅	C₂²×C₃	semidirect
558. #4016	C₂²×C₃	semidirect
559. C₄×Dic₁₀	C₂²×C₃	semidirect
560. C₄×Dic₁₀	C₂²×C₃	semidirect
561. C₄×Dic₁₀	C₂²×C₃	semidirect
562. C₄×Dic₁₀	C₂²×C₃	semidirect
563. C₄×Dic₁₀	C₂²×C₃	semidirect
667. C₃×#126	C₂×D₅	semidirect
677. C₃×#125	C₂×D₅	semidirect
707. C₃×#123	C₂×D₅	semidirect
723. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
751. C₃×C₄×Q₈	C₂×D₅	semidirect
775. C₃×C₄×D₄	C₂×D₅	semidirect
789. C₃×#117	C₂×D₅	semidirect
799. C₂×C₃×C₄²	C₂×D₅	semidirect
983. #529	C₃×D₅	semidirect
1296. #126	C₂×C₃×D₅	semidirect
1306. #125	C₂×C₃×D₅	semidirect
1336. #123	C₂×C₃×D₅	semidirect
1352. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
1380. C₄×Q₈	C₂×C₃×D₅	semidirect
1404. C₄×D₄	C₂×C₃×D₅	semidirect
1418. #117	C₂×C₃×D₅	semidirect
1428. C₂×C₄²	C₂×C₃×D₅	semidirect
1724. C₃×C₅	#3455	semidirect
1872. C₅	C₃×#3455	semidirect
1920. C₃	#10618047	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×#529	2
C₃×#66044	2
C₃×#66041	2
C₃×#66038	2
C₃×#66035	2
C₃×#66030	2
C₃×#66026	2
C₃×#66012	2
C₃×#66003	2
C₃×#65997	2
C₃×#65996	2
C₃×#65994	2
C₃×#65991	2
C₃×#65974	2
C₃×#65972	2
C₃×#65949	2
C₃×#65947	2
C₃×#65914	2
C₃×#65912	2
C₃×#65891	2
C₃×#65882	2
C₃×#65881	2
C₃×#65872	2
C₃×#65862	2
C₃×#65856	2
C₃×D₅×#117	2
C₃×#65813	2
C₃×C₄×#709	2
#10618047	3
C₃×#3455	5

Subgroups — C3×#10618047 #14481497

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10618047 #14481497