Subgroups — C₃×#10618051 #14484112

Order 1920.

2264 conjugacy classes of subgroups.

The subgroup lattice has 1964 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×#66043	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#66042	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#66039	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#66036	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#66027	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#66027	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#66013	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#66004	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#65992	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#65989	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#65988	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#65984	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#65971	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#65970	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#65944	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#65935	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×#65881	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#65881	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×C₄×D₄×D₅	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#65872	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#65872	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×C₄×#711	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×C₄×#709	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₃×#4018	C₂	1	1	yes	maximal, characteristic, complemented
32	#10618051	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
33	C₂×C₃×#711	C₂²	1	1	yes	characteristic
34	C₂×C₃×D₄×D₅	C₂²	1	1	yes	characteristic
35	C₂×C₃×#709	C₂²	1	1	yes	characteristic
36	C₂×C₃×#709	C₂²	1	1	yes	characteristic
37	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
38	C₂²×C₃×C₄×D₅	C₂²	1	1	yes	characteristic
39	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
40	C₃×C₅×#126	C₂²	1	1	yes	characteristic, complemented
41	C₃×C₅×#125	C₂²	1	1	yes	characteristic, complemented
42	C₃×C₅×#124	C₂²	1	1	yes	characteristic, complemented
43	C₃×C₅×#123	C₂²	1	1	yes	characteristic
44	C₃×C₅×#123	C₂²	1	1	yes	characteristic, complemented
45	C₃×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	C₃×C₅×#121	C₂²	1	1	yes	characteristic
47	C₃×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic, complemented
48	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
49	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
50	C₃×C₄×C₅×D₄	C₂²	1	1	yes	characteristic, complemented
51	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
52	C₃×C₅×#117	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₃×C₄²×C₅	C₂²	1	1	yes	characteristic, complemented
54	C₃×#4093	C₂²	1	1	yes	characteristic, complemented
55	C₃×#4092	C₂²	1	1	yes	characteristic
56	C₃×#4092	C₂²	1	1	yes	characteristic, complemented
57	C₃×#4090	C₂²	1	1	yes	characteristic, complemented
58	C₃×#4085	C₂²	1	1	yes	characteristic
59	C₃×#4085	C₂²	1	1	yes	characteristic
60	C₃×#4085	C₂²	1	1	yes	characteristic, complemented
61	C₃×#4085	C₂²	1	1	yes	characteristic, complemented
62	C₃×#4083	C₂²	1	1	yes	characteristic
63	C₃×#4083	C₂²	1	1	yes	characteristic
64	C₃×#4081	C₂²	1	1	yes	characteristic
65	C₃×#4081	C₂²	1	1	yes	characteristic, complemented
66	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic
67	C₃×D₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
68	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
69	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
70	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
71	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
72	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
73	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
74	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
75	C₃×C₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
76	C₂×C₃×#685	C₂²	1	1	yes	characteristic
77	C₂×C₃×#685	C₂²	1	1	yes	characteristic
78	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
79	C₃×#4072	C₂²	1	1	yes	characteristic, complemented
80	C₂×C₃×#683	C₂²	1	1	yes	characteristic, complemented
81	C₂×C₃×#683	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃×C₄×Dic₅	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, complemented
85	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
86	C₃×#4044	C₂²	1	1	yes	characteristic, complemented
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×#4042	C₂²	1	1	yes	characteristic
92	C₃×#4042	C₂²	1	1	yes	characteristic
93	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
94	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
95	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
96	C₃×#4042	C₂²	1	1	yes	characteristic, complemented
97	C₃×#4041	C₂²	1	1	yes	characteristic
98	C₃×#4040	C₂²	1	1	yes	characteristic
99	C₃×#4040	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, complemented
103	C₃×#4040	C₂²	1	1	yes	characteristic, complemented
104	C₃×#4039	C₂²	1	1	yes	characteristic
105	C₃×#4039	C₂²	1	1	yes	characteristic
106	C₃×#4039	C₂²	1	1	yes	characteristic
107	C₃×#4038	C₂²	1	1	yes	characteristic
108	C₃×#4038	C₂²	1	1	yes	characteristic
109	C₃×#4038	C₂²	1	1	yes	characteristic, complemented
110	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
111	C₃×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
112	C₃×D₅×C₄⋊C₄	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×#4033	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, complemented
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, complemented
129	C₃×#4031	C₂²	1	1	yes	characteristic, complemented
130	C₃×#4030	C₂²	1	1	yes	characteristic
131	C₃×#4030	C₂²	1	1	yes	characteristic
132	C₃×#4030	C₂²	1	1	yes	characteristic, complemented
133	C₃×#4030	C₂²	1	1	yes	characteristic, complemented
134	C₃×#4029	C₂²	1	1	yes	characteristic
135	C₃×#4029	C₂²	1	1	yes	characteristic
136	C₃×#4029	C₂²	1	1	yes	characteristic, complemented
137	C₃×#4029	C₂²	1	1	yes	characteristic, complemented
138	C₃×#4028	C₂²	1	1	yes	characteristic
139	C₃×#4028	C₂²	1	1	yes	characteristic
140	C₃×#4027	C₂²	1	1	yes	characteristic
141	C₃×#4027	C₂²	1	1	yes	characteristic
142	C₃×#4027	C₂²	1	1	yes	characteristic
143	C₃×#4027	C₂²	1	1	yes	characteristic
144	C₃×#4027	C₂²	1	1	yes	characteristic
145	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
146	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
147	C₃×#4027	C₂²	1	1	yes	characteristic, complemented
148	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
149	C₃×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
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, complemented
153	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
154	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
155	C₃×#4025	C₂²	1	1	yes	characteristic, complemented
156	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
157	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
158	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
159	C₃×#4024	C₂²	1	1	yes	characteristic, complemented
160	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
161	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
162	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
163	C₃×#4023	C₂²	1	1	yes	characteristic, complemented
164	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic
165	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
166	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
167	C₃×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
168	C₃×#4018	C₂²	1	1	yes	characteristic
169	C₃×#4018	C₂²	1	1	yes	characteristic
170	C₃×#4018	C₂²	1	1	yes	characteristic
171	C₃×#4018	C₂²	1	1	yes	characteristic
172	C₃×#4018	C₂²	1	1	yes	characteristic
173	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
174	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
175	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
176	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
177	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
178	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
179	C₃×#4018	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic
181	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
182	C₃×C₄²×D₅	C₂²	1	1	yes	characteristic, complemented
183	C₃×C₄²×D₅	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×#3475	—	5	1	no	maximal, Hall
189	C₅×#529	C₂×C₃	1	1	yes	characteristic, complemented
190	#66043	C₂×C₃	1	1	yes	characteristic, complemented
191	#66042	C₂×C₃	1	1	yes	characteristic, complemented
192	#66039	C₂×C₃	1	1	yes	characteristic, complemented
193	#66036	C₂×C₃	1	1	yes	characteristic, complemented
194	#66027	C₂×C₃	1	1	yes	characteristic, complemented
195	#66027	C₂×C₃	1	1	yes	characteristic, complemented
196	#66013	C₂×C₃	1	1	yes	characteristic, complemented
197	#66004	C₂×C₃	1	1	yes	characteristic, complemented
198	#65992	C₂×C₃	1	1	yes	characteristic, complemented
199	#65989	C₂×C₃	1	1	yes	characteristic, complemented
200	#65988	C₂×C₃	1	1	yes	characteristic, complemented
201	#65984	C₂×C₃	1	1	yes	characteristic, complemented
202	#65971	C₂×C₃	1	1	yes	characteristic, complemented
203	#65970	C₂×C₃	1	1	yes	characteristic, complemented
204	#65944	C₂×C₃	1	1	yes	characteristic, complemented
205	#65935	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	#65881	C₂×C₃	1	1	yes	characteristic, complemented
209	#65881	C₂×C₃	1	1	yes	characteristic, complemented
210	C₄×D₄×D₅	C₂×C₃	1	1	yes	characteristic, complemented
211	#65872	C₂×C₃	1	1	yes	characteristic, complemented
212	#65872	C₂×C₃	1	1	yes	characteristic, complemented
213	C₄×#711	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	C₄×#709	C₂×C₃	1	1	yes	characteristic, complemented
219	C₂×#4018	C₂×C₃	1	1	yes	characteristic, complemented
220	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
221	C₂³×C₃×D₅	C₂³	1	1	yes	characteristic
222	C₂×C₃×C₅×Q₈	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	C₂×C₃×C₅×D₄	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	C₂²×C₃×C₄×C₅	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	C₂²×C₃×Dic₅	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	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
244	C₂²×C₃×Dic₅	C₂³	1	1	yes	characteristic
245	C₃×#711	—	2	4	no	—
246	C₃×D₄×D₅	—	2	4	no	—
247	C₃×#709	—	2	4	no	—
248	C₃×#709	—	2	4	no	—
249	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
250	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
251	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
252	C₂×C₃×D₂₀	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₄×D₅	—	2	4	no	—
254	C₂×C₃×C₄×D₅	—	2	4	no	—
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×C₄×D₅	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
268	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
269	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
270	C₂×C₃×C₄×D₅	C₂³	1	1	yes	characteristic
271	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
272	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
273	C₂×C₃×Dic₁₀	C₂³	1	1	yes	characteristic
274	C₂×C₃×Dic₁₀	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×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₃×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
284	C₃×C₅×C₄⋊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×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
292	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
293	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
294	C₃×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
295	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
296	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
297	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
298	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
299	C₃×C₄²×C₅	C₂³	1	1	yes	characteristic
300	C₃×C₄²×C₅	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×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
307	C₃×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
308	C₃×C₂²⋊Dic₅	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×#685	C₂³	1	1	yes	characteristic
331	C₃×#685	C₂³	1	1	yes	characteristic
332	C₃×#685	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×C₄⋊Dic₅	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×#683	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
379	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
380	C₃×C₄×Dic₅	C₂³	1	1	yes	characteristic
381	C₃×#556	—	5	1	no	—
382	C₃×#555	—	5	1	no	—
383	C₃×#554	—	5	1	no	—
384	C₃×#553	—	5	1	no	—
385	C₃×#553	—	5	1	no	—
386	C₃×#552	—	5	1	no	—
387	C₃×#552	—	5	1	no	—
388	C₃×#552	—	5	1	no	—
389	C₃×#552	—	5	1	no	—
390	C₃×#551	—	5	1	no	—
391	C₃×#551	—	5	1	no	—
392	C₃×#551	—	5	1	no	—
393	C₃×#551	—	5	1	no	—
394	C₃×#547	—	5	1	no	—
395	C₃×#546	—	5	1	no	—
396	C₃×#546	—	5	1	no	—
397	C₃×#533	—	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	C₃×C₄×#41	—	5	1	no	—
409	C₂×C₃×C₄×D₄	—	5	1	no	—
410	C₂×C₃×#117	—	5	1	no	—
411	C₂×C₃×#117	—	5	1	no	—
412	C₂×#711	C₂²×C₃	1	1	yes	characteristic
413	C₂×D₄×D₅	C₂²×C₃	1	1	yes	characteristic
414	C₂×#709	C₂²×C₃	1	1	yes	characteristic
415	C₂×#709	C₂²×C₃	1	1	yes	characteristic
416	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
417	C₂²×C₄×D₅	C₂²×C₃	1	1	yes	characteristic
418	C₅×#126	C₂²×C₃	1	1	yes	characteristic, complemented
419	C₅×#126	C₂²×C₃	1	1	yes	characteristic, complemented
420	C₅×#125	C₂²×C₃	1	1	yes	characteristic, complemented
421	C₅×#124	C₂²×C₃	1	1	yes	characteristic, complemented
422	C₅×#123	C₂²×C₃	1	1	yes	characteristic
423	C₅×#123	C₂²×C₃	1	1	yes	characteristic, complemented
424	C₅×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
425	C₅×#121	C₂²×C₃	1	1	yes	characteristic
426	C₄×C₅×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
427	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic
428	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
429	C₄×C₅×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
430	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
431	C₅×#117	C₂²×C₃	1	1	yes	characteristic, complemented
432	C₂×C₄²×C₅	C₂²×C₃	1	1	yes	characteristic, complemented
433	#4093	C₂²×C₃	1	1	yes	characteristic, complemented
434	#4092	C₂²×C₃	1	1	yes	characteristic
435	#4092	C₂²×C₃	1	1	yes	characteristic, complemented
436	#4090	C₂²×C₃	1	1	yes	characteristic, complemented
437	#4085	C₂²×C₃	1	1	yes	characteristic
438	#4085	C₂²×C₃	1	1	yes	characteristic
439	#4085	C₂²×C₃	1	1	yes	characteristic, complemented
440	#4085	C₂²×C₃	1	1	yes	characteristic, complemented
441	#4083	C₂²×C₃	1	1	yes	characteristic
442	#4083	C₂²×C₃	1	1	yes	characteristic
443	#4081	C₂²×C₃	1	1	yes	characteristic
444	#4081	C₂²×C₃	1	1	yes	characteristic, complemented
445	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic
446	D₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
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, complemented
451	C₄×C₂²⋊D₅	C₂²×C₃	1	1	yes	characteristic, complemented
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	C₂×#685	C₂²×C₃	1	1	yes	characteristic
456	C₂×#685	C₂²×C₃	1	1	yes	characteristic
457	#4072	C₂²×C₃	1	1	yes	characteristic, complemented
458	#4072	C₂²×C₃	1	1	yes	characteristic, complemented
459	C₂×#683	C₂²×C₃	1	1	yes	characteristic, complemented
460	C₂×#683	C₂²×C₃	1	1	yes	characteristic, complemented
461	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
462	C₂×C₄×Dic₅	C₂²×C₃	1	1	yes	characteristic, complemented
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	#4044	C₂²×C₃	1	1	yes	characteristic, complemented
467	#4044	C₂²×C₃	1	1	yes	characteristic, complemented
468	#4044	C₂²×C₃	1	1	yes	characteristic, complemented
469	#4043	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	#4042	C₂²×C₃	1	1	yes	characteristic, complemented
475	#4042	C₂²×C₃	1	1	yes	characteristic, complemented
476	#4041	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
481	#4040	C₂²×C₃	1	1	yes	characteristic, complemented
482	#4040	C₂²×C₃	1	1	yes	characteristic, complemented
483	#4039	C₂²×C₃	1	1	yes	characteristic
484	#4039	C₂²×C₃	1	1	yes	characteristic
485	#4039	C₂²×C₃	1	1	yes	characteristic
486	#4038	C₂²×C₃	1	1	yes	characteristic
487	#4038	C₂²×C₃	1	1	yes	characteristic
488	#4038	C₂²×C₃	1	1	yes	characteristic, complemented
489	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic
490	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
491	D₅×C₄⋊C₄	C₂²×C₃	1	1	yes	characteristic, complemented
492	#4036	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	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
497	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
498	#4035	C₂²×C₃	1	1	yes	characteristic, complemented
499	#4034	C₂²×C₃	1	1	yes	characteristic, complemented
500	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
501	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
502	#4033	C₂²×C₃	1	1	yes	characteristic, complemented
503	#4032	C₂²×C₃	1	1	yes	characteristic, complemented
504	#4032	C₂²×C₃	1	1	yes	characteristic, complemented
505	#4031	C₂²×C₃	1	1	yes	characteristic
506	#4031	C₂²×C₃	1	1	yes	characteristic
507	#4031	C₂²×C₃	1	1	yes	characteristic, complemented
508	#4031	C₂²×C₃	1	1	yes	characteristic, complemented
509	#4030	C₂²×C₃	1	1	yes	characteristic
510	#4030	C₂²×C₃	1	1	yes	characteristic
511	#4030	C₂²×C₃	1	1	yes	characteristic, complemented
512	#4030	C₂²×C₃	1	1	yes	characteristic, complemented
513	#4029	C₂²×C₃	1	1	yes	characteristic
514	#4029	C₂²×C₃	1	1	yes	characteristic
515	#4029	C₂²×C₃	1	1	yes	characteristic, complemented
516	#4029	C₂²×C₃	1	1	yes	characteristic, complemented
517	#4028	C₂²×C₃	1	1	yes	characteristic
518	#4028	C₂²×C₃	1	1	yes	characteristic
519	#4027	C₂²×C₃	1	1	yes	characteristic
520	#4027	C₂²×C₃	1	1	yes	characteristic
521	#4027	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	#4027	C₂²×C₃	1	1	yes	characteristic, complemented
527	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
528	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
529	D₅×C₂²⋊C₄	C₂²×C₃	1	1	yes	characteristic
530	D₅×C₂²⋊C₄	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	#4025	C₂²×C₃	1	1	yes	characteristic, complemented
535	#4024	C₂²×C₃	1	1	yes	characteristic, complemented
536	#4024	C₂²×C₃	1	1	yes	characteristic, complemented
537	#4024	C₂²×C₃	1	1	yes	characteristic, complemented
538	#4024	C₂²×C₃	1	1	yes	characteristic, complemented
539	#4023	C₂²×C₃	1	1	yes	characteristic, complemented
540	#4023	C₂²×C₃	1	1	yes	characteristic, complemented
541	#4023	C₂²×C₃	1	1	yes	characteristic, complemented
542	#4023	C₂²×C₃	1	1	yes	characteristic, complemented
543	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic
544	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
545	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
546	C₄×D₂₀	C₂²×C₃	1	1	yes	characteristic, complemented
547	#4018	C₂²×C₃	1	1	yes	characteristic
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	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
555	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
556	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
557	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
558	#4018	C₂²×C₃	1	1	yes	characteristic, complemented
559	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic
560	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
561	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
562	C₄²×D₅	C₂²×C₃	1	1	yes	characteristic, complemented
563	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
564	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
565	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
566	C₄×Dic₁₀	C₂²×C₃	1	1	yes	characteristic, complemented
567	#3475	—	5	1	no	Sylow
568	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
569	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
570	C₂³×C₃×C₅	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×D₅	—	2	2	no	—
572	C₂²×C₃×D₅	—	2	2	no	—
573	C₂²×C₃×D₅	—	2	2	no	—
574	C₂²×C₃×D₅	—	2	2	no	—
575	C₂²×C₃×D₅	—	4	1	no	—
576	C₂²×C₃×D₅	—	4	1	no	—
577	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
578	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
579	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
580	C₂²×C₃×D₅	C₂⁴	1	1	yes	characteristic
581	C₃×C₅×Q₈	—	4	1	no	—
582	C₃×C₅×D₄	—	2	2	no	—
583	C₃×C₅×D₄	—	2	2	no	—
584	C₃×C₅×D₄	—	4	1	no	—
585	C₂×C₃×C₄×C₅	—	2	2	no	—
586	C₂×C₃×C₄×C₅	—	2	2	no	—
587	C₂×C₃×C₄×C₅	—	2	2	no	—
588	C₂×C₃×C₄×C₅	—	2	2	no	—
589	C₂×C₃×C₄×C₅	—	4	1	no	—
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	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
597	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
598	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
599	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
600	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
601	C₂×C₃×C₄×C₅	C₂⁴	1	1	yes	characteristic
602	C₃×C₂²⋊D₅	—	2	2	no	—
603	C₃×C₂²⋊D₅	—	2	2	no	—
604	C₃×C₂²⋊D₅	—	2	2	no	—
605	C₃×C₂²⋊D₅	—	2	2	no	—
606	C₃×C₂²⋊D₅	—	2	2	no	—
607	C₃×C₂²⋊D₅	—	4	1	no	—
608	C₃×C₂²⋊D₅	—	4	1	no	—
609	C₃×C₂²⋊D₅	#41	1	4	yes	complemented
610	C₂×C₃×Dic₅	—	2	2	no	—
611	C₂×C₃×Dic₅	—	2	2	no	—
612	C₂×C₃×Dic₅	—	2	2	no	—
613	C₂×C₃×Dic₅	—	2	2	no	—
614	C₂×C₃×Dic₅	—	4	1	no	—
615	C₂×C₃×Dic₅	—	4	1	no	—
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	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
622	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
623	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
624	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
627	C₂×C₃×Dic₅	C₂⁴	1	1	yes	characteristic
628	C₃×D₂₀	—	2	2	no	—
629	C₃×D₂₀	—	2	2	no	—
630	C₃×D₂₀	—	2	2	no	—
631	C₃×D₂₀	—	4	1	no	—
632	C₃×C₄×D₅	—	2	2	no	—
633	C₃×C₄×D₅	—	2	2	no	—
634	C₃×C₄×D₅	—	2	2	no	—
635	C₃×C₄×D₅	—	2	2	no	—
636	C₃×C₄×D₅	—	2	2	no	—
637	C₃×C₄×D₅	—	2	2	no	—
638	C₃×C₄×D₅	—	2	2	no	—
639	C₃×C₄×D₅	—	2	2	no	—
640	C₃×C₄×D₅	—	2	2	no	—
641	C₃×C₄×D₅	—	2	2	no	—
642	C₃×C₄×D₅	—	2	2	no	—
643	C₃×C₄×D₅	—	4	1	no	—
644	C₃×C₄×D₅	—	4	1	no	—
645	C₃×C₄×D₅	—	4	1	no	—
646	C₃×C₄×D₅	—	4	1	no	—
647	C₃×C₄×D₅	#41	1	4	yes	complemented
648	C₃×Dic₁₀	—	2	2	no	—
649	C₃×Dic₁₀	—	2	2	no	—
650	C₃×Dic₁₀	—	2	2	no	—
651	C₃×Dic₁₀	—	4	1	no	—
652	C₂×C₃×#41	—	5	1	no	—
653	C₂×C₃×#41	—	5	1	no	—
654	C₂×C₃×#41	—	5	1	no	—
655	C₂²×C₃×D₄	—	5	1	no	—
656	C₂³×C₃×C₄	—	5	1	no	—
657	C₂³×C₃×C₄	—	5	1	no	—
658	C₃×C₄⋊Q₈	—	5	1	no	—
659	C₃×C₄⋊Q₈	—	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	—	5	1	no	—
667	C₃×#126	—	5	1	no	—
668	C₃×#126	—	5	1	no	—
669	C₃×#126	—	5	1	no	—
670	C₃×#126	C₂×D₅	1	1	yes	characteristic, complemented
671	C₃×#126	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
678	C₃×#125	—	5	1	no	—
679	C₃×#125	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
686	C₃×#123	—	5	1	no	—
687	C₃×#123	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic
701	C₃×#123	C₂×D₅	1	1	yes	characteristic, complemented
702	C₃×C₂²⋊Q₈	—	5	1	no	—
703	C₃×C₂²⋊Q₈	—	5	1	no	—
704	C₃×C₂²⋊Q₈	—	5	1	no	—
705	C₃×C₂²⋊Q₈	—	5	1	no	—
706	C₃×C₂²⋊Q₈	—	5	1	no	—
707	C₃×C₂²⋊Q₈	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
716	C₃×#121	—	5	1	no	—
717	C₃×#121	—	5	1	no	—
718	C₃×#121	—	5	1	no	—
719	C₃×#121	—	5	1	no	—
720	C₃×#121	—	5	1	no	—
721	C₃×#121	—	5	1	no	—
722	C₃×#121	—	5	1	no	—
723	C₃×#121	—	5	1	no	—
724	C₃×#121	—	5	1	no	—
725	C₃×#121	C₂×D₅	1	1	yes	characteristic
726	C₃×#120	—	5	1	no	—
727	C₃×#120	—	5	1	no	—
728	C₃×#120	—	5	1	no	—
729	C₃×#120	—	5	1	no	—
730	C₃×C₄×Q₈	—	5	1	no	—
731	C₃×C₄×Q₈	—	5	1	no	—
732	C₃×C₄×Q₈	—	5	1	no	—
733	C₃×C₄×Q₈	—	5	1	no	—
734	C₃×C₄×Q₈	—	5	1	no	—
735	C₃×C₄×Q₈	—	5	1	no	—
736	C₃×C₄×Q₈	—	5	1	no	—
737	C₃×C₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
738	C₃×C₄×D₄	—	5	1	no	—
739	C₃×C₄×D₄	—	5	1	no	—
740	C₃×C₄×D₄	—	5	1	no	—
741	C₃×C₄×D₄	—	5	1	no	—
742	C₃×C₄×D₄	—	5	1	no	—
743	C₃×C₄×D₄	—	5	1	no	—
744	C₃×C₄×D₄	—	5	1	no	—
745	C₃×C₄×D₄	—	5	1	no	—
746	C₃×C₄×D₄	—	5	1	no	—
747	C₃×C₄×D₄	—	5	1	no	—
748	C₃×C₄×D₄	—	5	1	no	—
749	C₃×C₄×D₄	—	5	1	no	—
750	C₃×C₄×D₄	—	5	1	no	—
751	C₃×C₄×D₄	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic
764	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
765	C₃×C₄×D₄	C₂×D₅	1	1	yes	characteristic, complemented
766	C₃×#117	—	5	1	no	—
767	C₃×#117	—	5	1	no	—
768	C₃×#117	—	5	1	no	—
769	C₃×#117	—	5	1	no	—
770	C₃×#117	—	5	1	no	—
771	C₃×#117	—	5	1	no	—
772	C₃×#117	—	5	1	no	—
773	C₃×#117	—	5	1	no	—
774	C₃×#117	—	5	1	no	—
775	C₃×#117	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
788	C₃×#117	C₂×D₅	1	1	yes	characteristic, complemented
789	C₂×C₃×C₄⋊C₄	—	5	1	no	—
790	C₂×C₃×C₄⋊C₄	—	5	1	no	—
791	C₂×C₃×C₄⋊C₄	—	5	1	no	—
792	C₂×C₃×C₄⋊C₄	—	5	1	no	—
793	C₂×C₃×C₄⋊C₄	—	5	1	no	—
794	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
795	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
796	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
797	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
798	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
799	C₂×C₃×C₂²⋊C₄	—	5	1	no	—
800	C₂×C₃×C₄²	—	5	1	no	—
801	C₂×C₃×C₄²	—	5	1	no	—
802	C₂×C₃×C₄²	—	5	1	no	—
803	C₂×C₃×C₄²	—	5	1	no	—
804	C₂×C₃×C₄²	—	5	1	no	—
805	C₂×C₃×C₄²	—	5	1	no	—
806	C₂×C₃×C₄²	C₂×D₅	1	1	yes	characteristic, complemented
807	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
808	C₂³×D₅	C₂³×C₃	1	1	yes	characteristic
809	C₂×C₅×Q₈	C₂³×C₃	1	1	yes	characteristic
810	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
811	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
812	C₂×C₅×D₄	C₂³×C₃	1	1	yes	characteristic
813	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
814	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
815	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
816	C₂²×C₄×C₅	C₂³×C₃	1	1	yes	characteristic
817	C₂²×C₄×C₅	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	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
821	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
822	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
823	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
824	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
825	C₂×C₂²⋊D₅	C₂³×C₃	1	1	yes	characteristic
826	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
827	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
828	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
829	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
830	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
831	C₂²×Dic₅	C₂³×C₃	1	1	yes	characteristic
832	#711	—	2	4	no	—
833	D₄×D₅	—	2	4	no	—
834	#709	—	2	4	no	—
835	#709	—	2	4	no	—
836	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
837	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
838	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
839	C₂×D₂₀	C₂³×C₃	1	1	yes	characteristic
840	C₂×C₄×D₅	—	2	4	no	—
841	C₂×C₄×D₅	—	2	4	no	—
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×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
846	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
847	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
848	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
849	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
850	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
851	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
852	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
853	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
854	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
855	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
856	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
857	C₂×C₄×D₅	C₂³×C₃	1	1	yes	characteristic
858	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
859	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
860	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
861	C₂×Dic₁₀	C₂³×C₃	1	1	yes	characteristic
862	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
863	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
864	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
865	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
866	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
867	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
868	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
869	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
870	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
871	C₅×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
872	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
873	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
874	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
875	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
876	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
877	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
878	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
879	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
880	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
881	C₅×C₂²⋊C₄	C₂³×C₃	1	1	yes	characteristic
882	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
883	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
884	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
885	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
886	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
887	C₄²×C₅	C₂³×C₃	1	1	yes	characteristic
888	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
889	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
890	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
891	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
892	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
893	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
894	C₂²⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
895	C₂²⋊Dic₅	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	#685	C₂³×C₃	1	1	yes	characteristic
911	#685	C₂³×C₃	1	1	yes	characteristic
912	#685	C₂³×C₃	1	1	yes	characteristic
913	#685	C₂³×C₃	1	1	yes	characteristic
914	#685	C₂³×C₃	1	1	yes	characteristic
915	#685	C₂³×C₃	1	1	yes	characteristic
916	#685	C₂³×C₃	1	1	yes	characteristic
917	#685	C₂³×C₃	1	1	yes	characteristic
918	#685	C₂³×C₃	1	1	yes	characteristic
919	#685	C₂³×C₃	1	1	yes	characteristic
920	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
921	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
922	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
923	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
924	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
925	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
926	C₄⋊Dic₅	C₂³×C₃	1	1	yes	characteristic
927	C₄⋊Dic₅	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	#683	C₂³×C₃	1	1	yes	characteristic
945	#683	C₂³×C₃	1	1	yes	characteristic
946	#683	C₂³×C₃	1	1	yes	characteristic
947	#683	C₂³×C₃	1	1	yes	characteristic
948	#683	C₂³×C₃	1	1	yes	characteristic
949	#683	C₂³×C₃	1	1	yes	characteristic
950	#683	C₂³×C₃	1	1	yes	characteristic
951	#683	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	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
959	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
960	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
961	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
962	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
963	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
964	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
965	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
966	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
967	C₄×Dic₅	C₂³×C₃	1	1	yes	characteristic
968	#556	—	5	1	no	—
969	#555	—	5	1	no	—
970	#554	—	5	1	no	—
971	#553	—	5	1	no	—
972	#553	—	5	1	no	—
973	#552	—	5	1	no	—
974	#552	—	5	1	no	—
975	#552	—	5	1	no	—
976	#552	—	5	1	no	—
977	#551	—	5	1	no	—
978	#551	—	5	1	no	—
979	#551	—	5	1	no	—
980	#551	—	5	1	no	—
981	#547	—	5	1	no	—
982	#546	—	5	1	no	—
983	#546	—	5	1	no	—
984	#533	—	5	1	no	—
985	#529	—	5	1	no	—
986	#529	—	5	1	no	—
987	#529	—	5	1	no	—
988	#529	—	5	1	no	—
989	#529	—	5	1	no	—
990	#529	C₃×D₅	1	1	yes	characteristic, complemented
991	#525	—	5	1	no	—
992	#525	—	5	1	no	—
993	C₄×#41	—	5	1	no	—
994	C₄×#41	—	5	1	no	—
995	C₄×#41	—	5	1	no	—
996	C₂×C₄×D₄	—	5	1	no	—
997	C₂×#117	—	5	1	no	—
998	C₂×#117	—	5	1	no	—
999	C₂²×C₃×C₅	—	2	1	no	—
1000	C₂²×C₃×C₅	—	2	1	no	—
1001	C₂²×C₃×C₅	—	2	1	no	—
1002	C₂²×C₃×C₅	—	2	1	no	—
1003	C₂²×C₃×C₅	—	2	1	no	—
1004	C₂²×C₃×C₅	—	2	1	no	—
1005	C₂²×C₃×C₅	—	2	1	no	—
1006	C₂²×C₃×C₅	—	2	1	no	—
1007	C₂²×C₃×C₅	C₂×#41	1	2	yes	—
1008	C₂²×C₃×C₅	C₂⁵	1	1	yes	characteristic
1009	C₂×C₃×D₅	—	2	1	no	—
1010	C₂×C₃×D₅	—	2	1	no	—
1011	C₂×C₃×D₅	—	2	1	no	—
1012	C₂×C₃×D₅	—	2	1	no	—
1013	C₂×C₃×D₅	—	2	1	no	—
1014	C₂×C₃×D₅	—	2	1	no	—
1015	C₂×C₃×D₅	—	2	1	no	—
1016	C₂×C₃×D₅	—	2	1	no	—
1017	C₂×C₃×D₅	—	2	1	no	—
1018	C₂×C₃×D₅	—	2	1	no	—
1019	C₂×C₃×D₅	—	4	4	no	—
1020	C₂×C₃×D₅	—	4	4	no	—
1021	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1022	C₂×C₃×D₅	C₂×#41	1	2	yes	—
1023	C₃×C₄×C₅	—	2	1	no	—
1024	C₃×C₄×C₅	—	2	1	no	—
1025	C₃×C₄×C₅	—	2	1	no	—
1026	C₃×C₄×C₅	—	2	1	no	—
1027	C₃×C₄×C₅	—	2	1	no	—
1028	C₃×C₄×C₅	—	2	1	no	—
1029	C₃×C₄×C₅	—	2	1	no	—
1030	C₃×C₄×C₅	—	2	1	no	—
1031	C₃×C₄×C₅	—	2	1	no	—
1032	C₃×C₄×C₅	—	2	1	no	—
1033	C₃×C₄×C₅	—	2	1	no	—
1034	C₃×C₄×C₅	C₂×#41	1	2	yes	—
1035	C₃×Dic₅	—	2	1	no	—
1036	C₃×Dic₅	—	2	1	no	—
1037	C₃×Dic₅	—	2	1	no	—
1038	C₃×Dic₅	—	2	1	no	—
1039	C₃×Dic₅	—	2	1	no	—
1040	C₃×Dic₅	—	2	1	no	—
1041	C₃×Dic₅	—	2	1	no	—
1042	C₃×Dic₅	—	2	1	no	—
1043	C₃×Dic₅	—	2	1	no	—
1044	C₃×Dic₅	—	2	1	no	—
1045	C₃×Dic₅	C₂×#41	1	2	yes	—
1046	C₃×Dic₅	C₂×#41	1	2	yes	—
1047	C₂⁴×C₃	—	5	1	no	—
1048	C₂⁴×C₃	—	5	1	no	—
1049	C₃×#41	—	10	4	no	—
1050	C₃×#41	—	10	4	no	—
1051	C₃×#41	—	10	4	no	—
1052	C₂×C₃×Q₈	—	5	1	no	—
1053	C₂×C₃×Q₈	—	5	1	no	—
1054	C₂×C₃×Q₈	—	5	1	no	—
1055	C₂×C₃×Q₈	—	5	1	no	—
1056	C₂×C₃×Q₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1061	C₂×C₃×D₄	—	5	1	no	—
1062	C₂×C₃×D₄	—	5	1	no	—
1063	C₂×C₃×D₄	—	5	1	no	—
1064	C₂×C₃×D₄	—	5	1	no	—
1065	C₂×C₃×D₄	—	5	1	no	—
1066	C₂×C₃×D₄	—	5	1	no	—
1067	C₂×C₃×D₄	—	5	1	no	—
1068	C₂×C₃×D₄	—	5	1	no	—
1069	C₂×C₃×D₄	—	10	4	no	—
1070	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1071	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
1072	C₂×C₃×D₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1081	C₂²×C₃×C₄	—	5	1	no	—
1082	C₂²×C₃×C₄	—	5	1	no	—
1083	C₂²×C₃×C₄	—	5	1	no	—
1084	C₂²×C₃×C₄	—	5	1	no	—
1085	C₂²×C₃×C₄	—	5	1	no	—
1086	C₂²×C₃×C₄	—	5	1	no	—
1087	C₂²×C₃×C₄	—	5	1	no	—
1088	C₂²×C₃×C₄	—	5	1	no	—
1089	C₂²×C₃×C₄	—	5	1	no	—
1090	C₂²×C₃×C₄	—	5	1	no	—
1091	C₂²×C₃×C₄	—	5	1	no	—
1092	C₂²×C₃×C₄	—	5	1	no	—
1093	C₂²×C₃×C₄	—	5	1	no	—
1094	C₂²×C₃×C₄	—	5	1	no	—
1095	C₂²×C₃×C₄	—	10	4	no	—
1096	C₂²×C₃×C₄	—	10	4	no	—
1097	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1098	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1099	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1100	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
1101	C₂²×C₃×C₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1121	C₃×C₄⋊C₄	—	5	1	no	—
1122	C₃×C₄⋊C₄	—	5	1	no	—
1123	C₃×C₄⋊C₄	—	5	1	no	—
1124	C₃×C₄⋊C₄	—	5	1	no	—
1125	C₃×C₄⋊C₄	—	5	1	no	—
1126	C₃×C₄⋊C₄	—	5	1	no	—
1127	C₃×C₄⋊C₄	—	5	1	no	—
1128	C₃×C₄⋊C₄	—	5	1	no	—
1129	C₃×C₄⋊C₄	—	5	1	no	—
1130	C₃×C₄⋊C₄	—	5	1	no	—
1131	C₃×C₄⋊C₄	—	5	1	no	—
1132	C₃×C₄⋊C₄	—	5	1	no	—
1133	C₃×C₄⋊C₄	—	5	1	no	—
1134	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1135	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1136	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1137	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1138	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1139	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1140	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1141	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1142	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1143	C₃×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1165	C₃×C₂²⋊C₄	—	5	1	no	—
1166	C₃×C₂²⋊C₄	—	5	1	no	—
1167	C₃×C₂²⋊C₄	—	5	1	no	—
1168	C₃×C₂²⋊C₄	—	5	1	no	—
1169	C₃×C₂²⋊C₄	—	5	1	no	—
1170	C₃×C₂²⋊C₄	—	5	1	no	—
1171	C₃×C₂²⋊C₄	—	5	1	no	—
1172	C₃×C₂²⋊C₄	—	5	1	no	—
1173	C₃×C₂²⋊C₄	—	5	1	no	—
1174	C₃×C₂²⋊C₄	—	5	1	no	—
1175	C₃×C₂²⋊C₄	—	5	1	no	—
1176	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1177	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1178	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1179	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1180	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1181	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1182	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1183	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1184	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1185	C₃×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
1186	C₃×C₄²	—	5	1	no	—
1187	C₃×C₄²	—	5	1	no	—
1188	C₃×C₄²	—	5	1	no	—
1189	C₃×C₄²	—	5	1	no	—
1190	C₃×C₄²	—	5	1	no	—
1191	C₃×C₄²	—	5	1	no	—
1192	C₃×C₄²	—	5	1	no	—
1193	C₃×C₄²	—	5	1	no	—
1194	C₃×C₄²	—	5	1	no	—
1195	C₃×C₄²	—	5	1	no	—
1196	C₃×C₄²	—	5	1	no	—
1197	C₃×C₄²	—	5	1	no	—
1198	C₃×C₄²	—	5	1	no	—
1199	C₃×C₄²	—	5	1	no	—
1200	C₃×C₄²	—	5	1	no	—
1201	C₃×C₄²	—	5	1	no	—
1202	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1203	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1204	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1205	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1206	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1207	C₃×C₄²	C₂²×D₅	1	1	yes	characteristic
1208	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
1209	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
1210	C₂³×C₅	C₂⁴×C₃	1	1	yes	characteristic
1211	C₂²×D₅	—	2	2	no	—
1212	C₂²×D₅	—	2	2	no	—
1213	C₂²×D₅	—	2	2	no	—
1214	C₂²×D₅	—	2	2	no	—
1215	C₂²×D₅	—	4	1	no	—
1216	C₂²×D₅	—	4	1	no	—
1217	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1218	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1219	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1220	C₂²×D₅	C₂⁴×C₃	1	1	yes	characteristic
1221	C₅×Q₈	—	4	1	no	—
1222	C₅×D₄	—	2	2	no	—
1223	C₅×D₄	—	2	2	no	—
1224	C₅×D₄	—	4	1	no	—
1225	C₂×C₄×C₅	—	2	2	no	—
1226	C₂×C₄×C₅	—	2	2	no	—
1227	C₂×C₄×C₅	—	2	2	no	—
1228	C₂×C₄×C₅	—	2	2	no	—
1229	C₂×C₄×C₅	—	4	1	no	—
1230	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1231	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1232	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1233	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1234	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1235	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1236	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1237	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1238	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1239	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1240	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1241	C₂×C₄×C₅	C₂⁴×C₃	1	1	yes	characteristic
1242	C₂²⋊D₅	—	2	2	no	—
1243	C₂²⋊D₅	—	2	2	no	—
1244	C₂²⋊D₅	—	2	2	no	—
1245	C₂²⋊D₅	—	2	2	no	—
1246	C₂²⋊D₅	—	2	2	no	—
1247	C₂²⋊D₅	—	4	1	no	—
1248	C₂²⋊D₅	—	4	1	no	—
1249	C₂²⋊D₅	C₃×#41	1	4	yes	complemented
1250	C₂×Dic₅	—	2	2	no	—
1251	C₂×Dic₅	—	2	2	no	—
1252	C₂×Dic₅	—	2	2	no	—
1253	C₂×Dic₅	—	2	2	no	—
1254	C₂×Dic₅	—	4	1	no	—
1255	C₂×Dic₅	—	4	1	no	—
1256	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1257	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1258	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1259	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1260	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1261	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1262	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1263	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1264	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1265	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1266	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1267	C₂×Dic₅	C₂⁴×C₃	1	1	yes	characteristic
1268	D₂₀	—	2	2	no	—
1269	D₂₀	—	2	2	no	—
1270	D₂₀	—	2	2	no	—
1271	D₂₀	—	4	1	no	—
1272	C₄×D₅	—	2	2	no	—
1273	C₄×D₅	—	2	2	no	—
1274	C₄×D₅	—	2	2	no	—
1275	C₄×D₅	—	2	2	no	—
1276	C₄×D₅	—	2	2	no	—
1277	C₄×D₅	—	2	2	no	—
1278	C₄×D₅	—	2	2	no	—
1279	C₄×D₅	—	2	2	no	—
1280	C₄×D₅	—	2	2	no	—
1281	C₄×D₅	—	2	2	no	—
1282	C₄×D₅	—	2	2	no	—
1283	C₄×D₅	—	4	1	no	—
1284	C₄×D₅	—	4	1	no	—
1285	C₄×D₅	—	4	1	no	—
1286	C₄×D₅	—	4	1	no	—
1287	C₄×D₅	C₃×#41	1	4	yes	complemented
1288	Dic₁₀	—	2	2	no	—
1289	Dic₁₀	—	2	2	no	—
1290	Dic₁₀	—	2	2	no	—
1291	Dic₁₀	—	4	1	no	—
1292	C₂×#41	—	5	1	no	—
1293	C₂×#41	—	5	1	no	—
1294	C₂×#41	—	5	1	no	—
1295	C₂²×D₄	—	5	1	no	—
1296	C₂³×C₄	—	5	1	no	—
1297	C₂³×C₄	—	5	1	no	—
1298	C₄⋊Q₈	—	5	1	no	—
1299	C₄⋊Q₈	—	5	1	no	—
1300	#126	—	5	1	no	—
1301	#126	—	5	1	no	—
1302	#126	—	5	1	no	—
1303	#126	—	5	1	no	—
1304	#126	—	5	1	no	—
1305	#126	—	5	1	no	—
1306	#126	—	5	1	no	—
1307	#126	—	5	1	no	—
1308	#126	—	5	1	no	—
1309	#126	—	5	1	no	—
1310	#126	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1311	#126	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1312	#125	—	5	1	no	—
1313	#125	—	5	1	no	—
1314	#125	—	5	1	no	—
1315	#125	—	5	1	no	—
1316	#125	—	5	1	no	—
1317	#125	—	5	1	no	—
1318	#125	—	5	1	no	—
1319	#125	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1320	#124	—	5	1	no	—
1321	#124	—	5	1	no	—
1322	#124	—	5	1	no	—
1323	#124	—	5	1	no	—
1324	#124	—	5	1	no	—
1325	#124	C₂×C₃×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1336	#123	—	5	1	no	—
1337	#123	—	5	1	no	—
1338	#123	—	5	1	no	—
1339	#123	—	5	1	no	—
1340	#123	C₂×C₃×D₅	1	1	yes	characteristic
1341	#123	C₂×C₃×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1353	C₂²⋊Q₈	—	5	1	no	—
1354	C₂²⋊Q₈	—	5	1	no	—
1355	C₂²⋊Q₈	C₂×C₃×D₅	1	1	yes	characteristic, complemented
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	C₂×C₃×D₅	1	1	yes	characteristic
1366	#120	—	5	1	no	—
1367	#120	—	5	1	no	—
1368	#120	—	5	1	no	—
1369	#120	—	5	1	no	—
1370	C₄×Q₈	—	5	1	no	—
1371	C₄×Q₈	—	5	1	no	—
1372	C₄×Q₈	—	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	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1378	C₄×D₄	—	5	1	no	—
1379	C₄×D₄	—	5	1	no	—
1380	C₄×D₄	—	5	1	no	—
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	—	5	1	no	—
1403	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic
1404	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1405	C₄×D₄	C₂×C₃×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
1418	#117	—	5	1	no	—
1419	#117	—	5	1	no	—
1420	#117	—	5	1	no	—
1421	#117	—	5	1	no	—
1422	#117	—	5	1	no	—
1423	#117	—	5	1	no	—
1424	#117	—	5	1	no	—
1425	#117	—	5	1	no	—
1426	#117	—	5	1	no	—
1427	#117	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1428	#117	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1429	C₂×C₄⋊C₄	—	5	1	no	—
1430	C₂×C₄⋊C₄	—	5	1	no	—
1431	C₂×C₄⋊C₄	—	5	1	no	—
1432	C₂×C₄⋊C₄	—	5	1	no	—
1433	C₂×C₄⋊C₄	—	5	1	no	—
1434	C₂×C₂²⋊C₄	—	5	1	no	—
1435	C₂×C₂²⋊C₄	—	5	1	no	—
1436	C₂×C₂²⋊C₄	—	5	1	no	—
1437	C₂×C₂²⋊C₄	—	5	1	no	—
1438	C₂×C₂²⋊C₄	—	5	1	no	—
1439	C₂×C₂²⋊C₄	—	5	1	no	—
1440	C₂×C₄²	—	5	1	no	—
1441	C₂×C₄²	—	5	1	no	—
1442	C₂×C₄²	—	5	1	no	—
1443	C₂×C₄²	—	5	1	no	—
1444	C₂×C₄²	—	5	1	no	—
1445	C₂×C₄²	—	5	1	no	—
1446	C₂×C₄²	C₂×C₃×D₅	1	1	yes	characteristic, complemented
1447	C₂×C₃×C₅	—	2	2	no	—
1448	C₂×C₃×C₅	—	4	1	no	—
1449	C₂×C₃×C₅	—	4	1	no	—
1450	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1451	C₂×C₃×C₅	C₂²×#41	1	1	yes	characteristic
1452	C₂×C₃×C₅	#585	1	1	yes	characteristic
1453	C₃×D₅	—	2	2	no	—
1454	C₃×D₅	—	2	2	no	—
1455	C₃×D₅	—	4	1	no	—
1456	C₃×D₅	—	4	1	no	—
1457	C₂³×C₃	—	5	1	no	—
1458	C₂³×C₃	—	5	1	no	—
1459	C₂³×C₃	—	5	1	no	—
1460	C₂³×C₃	—	5	1	no	—
1461	C₂³×C₃	—	10	2	no	—
1462	C₂³×C₃	—	10	2	no	—
1463	C₂³×C₃	—	10	2	no	—
1464	C₂³×C₃	—	10	2	no	—
1465	C₂³×C₃	—	20	1	no	—
1466	C₂³×C₃	—	20	1	no	—
1467	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1468	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1469	C₂³×C₃	C₂³×D₅	1	1	yes	characteristic
1470	C₃×Q₈	—	4	1	no	—
1471	C₃×Q₈	—	10	2	no	—
1472	C₃×Q₈	—	10	2	no	—
1473	C₃×Q₈	—	10	2	no	—
1474	C₃×Q₈	—	20	1	no	—
1475	C₃×D₄	—	2	2	no	—
1476	C₃×D₄	—	2	2	no	—
1477	C₃×D₄	—	4	1	no	—
1478	C₃×D₄	—	5	4	no	—
1479	C₃×D₄	—	10	2	no	—
1480	C₃×D₄	—	10	2	no	—
1481	C₃×D₄	—	10	2	no	—
1482	C₃×D₄	—	10	2	no	—
1483	C₃×D₄	—	10	2	no	—
1484	C₃×D₄	—	10	2	no	—
1485	C₃×D₄	—	10	2	no	—
1486	C₃×D₄	—	10	2	no	—
1487	C₃×D₄	—	20	1	no	—
1488	C₃×D₄	—	20	1	no	—
1489	C₃×D₄	—	20	1	no	—
1490	C₂×C₃×C₄	—	2	2	no	—
1491	C₂×C₃×C₄	—	2	2	no	—
1492	C₂×C₃×C₄	—	2	2	no	—
1493	C₂×C₃×C₄	—	2	2	no	—
1494	C₂×C₃×C₄	—	4	1	no	—
1495	C₂×C₃×C₄	—	5	1	no	—
1496	C₂×C₃×C₄	—	5	1	no	—
1497	C₂×C₃×C₄	—	5	4	no	—
1498	C₂×C₃×C₄	—	5	1	no	—
1499	C₂×C₃×C₄	—	5	1	no	—
1500	C₂×C₃×C₄	—	5	1	no	—
1501	C₂×C₃×C₄	—	5	1	no	—
1502	C₂×C₃×C₄	—	5	1	no	—
1503	C₂×C₃×C₄	—	5	1	no	—
1504	C₂×C₃×C₄	—	5	1	no	—
1505	C₂×C₃×C₄	—	5	1	no	—
1506	C₂×C₃×C₄	—	5	1	no	—
1507	C₂×C₃×C₄	—	5	1	no	—
1508	C₂×C₃×C₄	—	10	2	no	—
1509	C₂×C₃×C₄	—	10	2	no	—
1510	C₂×C₃×C₄	—	10	2	no	—
1511	C₂×C₃×C₄	—	10	2	no	—
1512	C₂×C₃×C₄	—	10	2	no	—
1513	C₂×C₃×C₄	—	10	2	no	—
1514	C₂×C₃×C₄	—	10	2	no	—
1515	C₂×C₃×C₄	—	10	2	no	—
1516	C₂×C₃×C₄	—	10	2	no	—
1517	C₂×C₃×C₄	—	10	2	no	—
1518	C₂×C₃×C₄	—	10	2	no	—
1519	C₂×C₃×C₄	—	10	2	no	—
1520	C₂×C₃×C₄	—	10	2	no	—
1521	C₂×C₃×C₄	—	10	2	no	—
1522	C₂×C₃×C₄	—	10	2	no	—
1523	C₂×C₃×C₄	—	20	1	no	—
1524	C₂×C₃×C₄	—	20	1	no	—
1525	C₂×C₃×C₄	—	20	1	no	—
1526	C₂×C₃×C₄	—	20	1	no	—
1527	C₂×C₃×C₄	—	20	1	no	—
1528	C₂×C₃×C₄	—	20	1	no	—
1529	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1530	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1531	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1532	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1533	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1534	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1535	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1536	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1537	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1538	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1539	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1540	C₂×C₃×C₄	C₂³×D₅	1	1	yes	characteristic
1541	C₂²×C₅	—	2	1	no	—
1542	C₂²×C₅	—	2	1	no	—
1543	C₂²×C₅	—	2	1	no	—
1544	C₂²×C₅	—	2	1	no	—
1545	C₂²×C₅	—	2	1	no	—
1546	C₂²×C₅	—	2	1	no	—
1547	C₂²×C₅	—	2	1	no	—
1548	C₂²×C₅	—	2	1	no	—
1549	C₂²×C₅	C₂×C₃×#41	1	2	yes	—
1550	C₂²×C₅	C₂⁵×C₃	1	1	yes	characteristic
1551	C₂×D₅	—	2	1	no	—
1552	C₂×D₅	—	2	1	no	—
1553	C₂×D₅	—	2	1	no	—
1554	C₂×D₅	—	2	1	no	—
1555	C₂×D₅	—	2	1	no	—
1556	C₂×D₅	—	2	1	no	—
1557	C₂×D₅	—	2	1	no	—
1558	C₂×D₅	—	2	1	no	—
1559	C₂×D₅	—	2	1	no	—
1560	C₂×D₅	—	2	1	no	—
1561	C₂×D₅	—	4	4	no	—
1562	C₂×D₅	—	4	4	no	—
1563	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1564	C₂×D₅	C₂×C₃×#41	1	2	yes	—
1565	C₄×C₅	—	2	1	no	—
1566	C₄×C₅	—	2	1	no	—
1567	C₄×C₅	—	2	1	no	—
1568	C₄×C₅	—	2	1	no	—
1569	C₄×C₅	—	2	1	no	—
1570	C₄×C₅	—	2	1	no	—
1571	C₄×C₅	—	2	1	no	—
1572	C₄×C₅	—	2	1	no	—
1573	C₄×C₅	—	2	1	no	—
1574	C₄×C₅	—	2	1	no	—
1575	C₄×C₅	—	2	1	no	—
1576	C₄×C₅	C₂×C₃×#41	1	2	yes	—
1577	Dic₅	—	2	1	no	—
1578	Dic₅	—	2	1	no	—
1579	Dic₅	—	2	1	no	—
1580	Dic₅	—	2	1	no	—
1581	Dic₅	—	2	1	no	—
1582	Dic₅	—	2	1	no	—
1583	Dic₅	—	2	1	no	—
1584	Dic₅	—	2	1	no	—
1585	Dic₅	—	2	1	no	—
1586	Dic₅	—	2	1	no	—
1587	Dic₅	C₂×C₃×#41	1	2	yes	—
1588	Dic₅	C₂×C₃×#41	1	2	yes	—
1589	C₂⁴	—	5	1	no	—
1590	C₂⁴	—	5	1	no	—
1591	#41	—	10	4	no	—
1592	#41	—	10	4	no	—
1593	#41	—	10	4	no	—
1594	C₂×Q₈	—	5	1	no	—
1595	C₂×Q₈	—	5	1	no	—
1596	C₂×Q₈	—	5	1	no	—
1597	C₂×Q₈	—	5	1	no	—
1598	C₂×Q₈	C₂²×C₃×D₅	1	1	yes	characteristic
1599	C₂×D₄	—	5	1	no	—
1600	C₂×D₄	—	5	1	no	—
1601	C₂×D₄	—	5	1	no	—
1602	C₂×D₄	—	5	1	no	—
1603	C₂×D₄	—	5	1	no	—
1604	C₂×D₄	—	5	1	no	—
1605	C₂×D₄	—	5	1	no	—
1606	C₂×D₄	—	5	1	no	—
1607	C₂×D₄	—	5	1	no	—
1608	C₂×D₄	—	5	1	no	—
1609	C₂×D₄	—	5	1	no	—
1610	C₂×D₄	—	5	1	no	—
1611	C₂×D₄	—	10	4	no	—
1612	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1613	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1614	C₂×D₄	C₂²×C₃×D₅	1	1	yes	characteristic
1615	C₂²×C₄	—	5	1	no	—
1616	C₂²×C₄	—	5	1	no	—
1617	C₂²×C₄	—	5	1	no	—
1618	C₂²×C₄	—	5	1	no	—
1619	C₂²×C₄	—	5	1	no	—
1620	C₂²×C₄	—	5	1	no	—
1621	C₂²×C₄	—	5	1	no	—
1622	C₂²×C₄	—	5	1	no	—
1623	C₂²×C₄	—	5	1	no	—
1624	C₂²×C₄	—	5	1	no	—
1625	C₂²×C₄	—	5	1	no	—
1626	C₂²×C₄	—	5	1	no	—
1627	C₂²×C₄	—	5	1	no	—
1628	C₂²×C₄	—	5	1	no	—
1629	C₂²×C₄	—	5	1	no	—
1630	C₂²×C₄	—	5	1	no	—
1631	C₂²×C₄	—	5	1	no	—
1632	C₂²×C₄	—	5	1	no	—
1633	C₂²×C₄	—	5	1	no	—
1634	C₂²×C₄	—	5	1	no	—
1635	C₂²×C₄	—	5	1	no	—
1636	C₂²×C₄	—	5	1	no	—
1637	C₂²×C₄	—	10	4	no	—
1638	C₂²×C₄	—	10	4	no	—
1639	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1640	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1641	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1642	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1643	C₂²×C₄	C₂²×C₃×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1651	C₄⋊C₄	—	5	1	no	—
1652	C₄⋊C₄	—	5	1	no	—
1653	C₄⋊C₄	—	5	1	no	—
1654	C₄⋊C₄	—	5	1	no	—
1655	C₄⋊C₄	—	5	1	no	—
1656	C₄⋊C₄	—	5	1	no	—
1657	C₄⋊C₄	—	5	1	no	—
1658	C₄⋊C₄	—	5	1	no	—
1659	C₄⋊C₄	—	5	1	no	—
1660	C₄⋊C₄	—	5	1	no	—
1661	C₄⋊C₄	—	5	1	no	—
1662	C₄⋊C₄	—	5	1	no	—
1663	C₄⋊C₄	—	5	1	no	—
1664	C₄⋊C₄	—	5	1	no	—
1665	C₄⋊C₄	—	5	1	no	—
1666	C₄⋊C₄	—	5	1	no	—
1667	C₄⋊C₄	—	5	1	no	—
1668	C₄⋊C₄	—	5	1	no	—
1669	C₄⋊C₄	—	5	1	no	—
1670	C₄⋊C₄	—	5	1	no	—
1671	C₄⋊C₄	—	5	1	no	—
1672	C₄⋊C₄	—	5	1	no	—
1673	C₄⋊C₄	—	5	1	no	—
1674	C₄⋊C₄	—	5	1	no	—
1675	C₄⋊C₄	—	5	1	no	—
1676	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1677	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1678	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1679	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1680	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1681	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1682	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1683	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1684	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1685	C₄⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1695	C₂²⋊C₄	—	5	1	no	—
1696	C₂²⋊C₄	—	5	1	no	—
1697	C₂²⋊C₄	—	5	1	no	—
1698	C₂²⋊C₄	—	5	1	no	—
1699	C₂²⋊C₄	—	5	1	no	—
1700	C₂²⋊C₄	—	5	1	no	—
1701	C₂²⋊C₄	—	5	1	no	—
1702	C₂²⋊C₄	—	5	1	no	—
1703	C₂²⋊C₄	—	5	1	no	—
1704	C₂²⋊C₄	—	5	1	no	—
1705	C₂²⋊C₄	—	5	1	no	—
1706	C₂²⋊C₄	—	5	1	no	—
1707	C₂²⋊C₄	—	5	1	no	—
1708	C₂²⋊C₄	—	5	1	no	—
1709	C₂²⋊C₄	—	5	1	no	—
1710	C₂²⋊C₄	—	5	1	no	—
1711	C₂²⋊C₄	—	5	1	no	—
1712	C₂²⋊C₄	—	5	1	no	—
1713	C₂²⋊C₄	—	5	1	no	—
1714	C₂²⋊C₄	—	5	1	no	—
1715	C₂²⋊C₄	—	5	1	no	—
1716	C₂²⋊C₄	—	5	1	no	—
1717	C₂²⋊C₄	—	5	1	no	—
1718	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1719	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1720	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1721	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1722	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1723	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1724	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1725	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1726	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1727	C₂²⋊C₄	C₂²×C₃×D₅	1	1	yes	characteristic
1728	C₄²	—	5	1	no	—
1729	C₄²	—	5	1	no	—
1730	C₄²	—	5	1	no	—
1731	C₄²	—	5	1	no	—
1732	C₄²	—	5	1	no	—
1733	C₄²	—	5	1	no	—
1734	C₄²	—	5	1	no	—
1735	C₄²	—	5	1	no	—
1736	C₄²	—	5	1	no	—
1737	C₄²	—	5	1	no	—
1738	C₄²	—	5	1	no	—
1739	C₄²	—	5	1	no	—
1740	C₄²	—	5	1	no	—
1741	C₄²	—	5	1	no	—
1742	C₄²	—	5	1	no	—
1743	C₄²	—	5	1	no	—
1744	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1745	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1746	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1747	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1748	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1749	C₄²	C₂²×C₃×D₅	1	1	yes	characteristic
1750	C₃×C₅	#3475	1	1	yes	characteristic, complemented, Hall
1751	C₂²×C₃	—	2	1	no	—
1752	C₂²×C₃	—	2	1	no	—
1753	C₂²×C₃	—	2	1	no	—
1754	C₂²×C₃	—	2	1	no	—
1755	C₂²×C₃	—	2	1	no	—
1756	C₂²×C₃	—	2	1	no	—
1757	C₂²×C₃	—	2	1	no	—
1758	C₂²×C₃	—	2	1	no	—
1759	C₂²×C₃	—	5	2	no	—
1760	C₂²×C₃	—	5	2	no	—
1761	C₂²×C₃	—	10	1	no	—
1762	C₂²×C₃	—	10	1	no	—
1763	C₂²×C₃	—	10	1	no	—
1764	C₂²×C₃	—	10	1	no	—
1765	C₂²×C₃	—	10	1	no	—
1766	C₂²×C₃	—	10	1	no	—
1767	C₂²×C₃	—	10	1	no	—
1768	C₂²×C₃	—	10	1	no	—
1769	C₂²×C₃	—	10	1	no	—
1770	C₂²×C₃	—	10	1	no	—
1771	C₂²×C₃	—	20	4	no	—
1772	C₂²×C₃	—	20	4	no	—
1773	C₂²×C₃	D₅×#41	1	2	yes	—
1774	C₂²×C₃	C₂⁴×D₅	1	1	yes	characteristic
1775	C₃×C₄	—	2	1	no	—
1776	C₃×C₄	—	2	1	no	—
1777	C₃×C₄	—	2	1	no	—
1778	C₃×C₄	—	2	1	no	—
1779	C₃×C₄	—	2	1	no	—
1780	C₃×C₄	—	2	1	no	—
1781	C₃×C₄	—	2	1	no	—
1782	C₃×C₄	—	2	1	no	—
1783	C₃×C₄	—	2	1	no	—
1784	C₃×C₄	—	2	1	no	—
1785	C₃×C₄	—	2	1	no	—
1786	C₃×C₄	—	5	2	no	—
1787	C₃×C₄	—	5	2	no	—
1788	C₃×C₄	—	10	1	no	—
1789	C₃×C₄	—	10	1	no	—
1790	C₃×C₄	—	10	1	no	—
1791	C₃×C₄	—	10	1	no	—
1792	C₃×C₄	—	10	1	no	—
1793	C₃×C₄	—	10	1	no	—
1794	C₃×C₄	—	10	1	no	—
1795	C₃×C₄	—	10	1	no	—
1796	C₃×C₄	—	10	1	no	—
1797	C₃×C₄	—	10	1	no	—
1798	C₃×C₄	D₅×#41	1	2	yes	—
1799	C₂×C₅	—	2	2	no	—
1800	C₂×C₅	—	4	1	no	—
1801	C₂×C₅	—	4	1	no	—
1802	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1803	C₂×C₅	C₂²×C₃×#41	1	1	yes	characteristic
1804	C₂×C₅	C₃×#585	1	1	yes	characteristic
1805	D₅	—	2	2	no	—
1806	D₅	—	2	2	no	—
1807	D₅	—	4	1	no	—
1808	D₅	—	4	1	no	—
1809	C₂³	—	5	1	no	—
1810	C₂³	—	5	1	no	—
1811	C₂³	—	5	1	no	—
1812	C₂³	—	5	1	no	—
1813	C₂³	—	10	2	no	—
1814	C₂³	—	10	2	no	—
1815	C₂³	—	10	2	no	—
1816	C₂³	—	10	2	no	—
1817	C₂³	—	20	1	no	—
1818	C₂³	—	20	1	no	—
1819	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1820	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1821	C₂³	C₂³×C₃×D₅	1	1	yes	characteristic
1822	Q₈	—	4	1	no	—
1823	Q₈	—	10	2	no	—
1824	Q₈	—	10	2	no	—
1825	Q₈	—	10	2	no	—
1826	Q₈	—	20	1	no	—
1827	D₄	—	2	2	no	—
1828	D₄	—	2	2	no	—
1829	D₄	—	4	1	no	—
1830	D₄	—	5	4	no	—
1831	D₄	—	10	2	no	—
1832	D₄	—	10	2	no	—
1833	D₄	—	10	2	no	—
1834	D₄	—	10	2	no	—
1835	D₄	—	10	2	no	—
1836	D₄	—	10	2	no	—
1837	D₄	—	10	2	no	—
1838	D₄	—	10	2	no	—
1839	D₄	—	20	1	no	—
1840	D₄	—	20	1	no	—
1841	D₄	—	20	1	no	—
1842	C₂×C₄	—	2	2	no	—
1843	C₂×C₄	—	2	2	no	—
1844	C₂×C₄	—	2	2	no	—
1845	C₂×C₄	—	2	2	no	—
1846	C₂×C₄	—	4	1	no	—
1847	C₂×C₄	—	5	1	no	—
1848	C₂×C₄	—	5	1	no	—
1849	C₂×C₄	—	5	4	no	—
1850	C₂×C₄	—	5	1	no	—
1851	C₂×C₄	—	5	1	no	—
1852	C₂×C₄	—	5	1	no	—
1853	C₂×C₄	—	5	1	no	—
1854	C₂×C₄	—	5	1	no	—
1855	C₂×C₄	—	5	1	no	—
1856	C₂×C₄	—	5	1	no	—
1857	C₂×C₄	—	5	1	no	—
1858	C₂×C₄	—	5	1	no	—
1859	C₂×C₄	—	5	1	no	—
1860	C₂×C₄	—	10	2	no	—
1861	C₂×C₄	—	10	2	no	—
1862	C₂×C₄	—	10	2	no	—
1863	C₂×C₄	—	10	2	no	—
1864	C₂×C₄	—	10	2	no	—
1865	C₂×C₄	—	10	2	no	—
1866	C₂×C₄	—	10	2	no	—
1867	C₂×C₄	—	10	2	no	—
1868	C₂×C₄	—	10	2	no	—
1869	C₂×C₄	—	10	2	no	—
1870	C₂×C₄	—	10	2	no	—
1871	C₂×C₄	—	10	2	no	—
1872	C₂×C₄	—	10	2	no	—
1873	C₂×C₄	—	10	2	no	—
1874	C₂×C₄	—	10	2	no	—
1875	C₂×C₄	—	20	1	no	—
1876	C₂×C₄	—	20	1	no	—
1877	C₂×C₄	—	20	1	no	—
1878	C₂×C₄	—	20	1	no	—
1879	C₂×C₄	—	20	1	no	—
1880	C₂×C₄	—	20	1	no	—
1881	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1882	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1883	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1884	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1885	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1886	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1887	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1888	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1889	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1890	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1891	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1892	C₂×C₄	C₂³×C₃×D₅	1	1	yes	characteristic
1893	C₂×C₃	—	2	2	no	—
1894	C₂×C₃	—	4	1	no	—
1895	C₂×C₃	—	4	1	no	—
1896	C₂×C₃	—	10	2	no	—
1897	C₂×C₃	—	10	2	no	—
1898	C₂×C₃	—	20	1	no	—
1899	C₂×C₃	—	20	1	no	—
1900	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1901	C₂×C₃	C₂×D₅×#41	1	1	yes	characteristic
1902	C₂×C₃	#66283	1	1	yes	characteristic
1903	C₅	C₃×#3475	1	1	yes	characteristic, complemented, Sylow
1904	C₂²	—	2	1	no	—
1905	C₂²	—	2	1	no	—
1906	C₂²	—	2	1	no	—
1907	C₂²	—	2	1	no	—
1908	C₂²	—	2	1	no	—
1909	C₂²	—	2	1	no	—
1910	C₂²	—	2	1	no	—
1911	C₂²	—	2	1	no	—
1912	C₂²	—	5	2	no	—
1913	C₂²	—	5	2	no	—
1914	C₂²	—	10	1	no	—
1915	C₂²	—	10	1	no	—
1916	C₂²	—	10	1	no	—
1917	C₂²	—	10	1	no	—
1918	C₂²	—	10	1	no	—
1919	C₂²	—	10	1	no	—
1920	C₂²	—	10	1	no	—
1921	C₂²	—	10	1	no	—
1922	C₂²	—	10	1	no	—
1923	C₂²	—	10	1	no	—
1924	C₂²	—	20	4	no	—
1925	C₂²	—	20	4	no	—
1926	C₂²	C₃×D₅×#41	1	2	yes	—
1927	C₂²	C₂⁴×C₃×D₅	1	1	yes	characteristic
1928	C₄	—	2	1	no	—
1929	C₄	—	2	1	no	—
1930	C₄	—	2	1	no	—
1931	C₄	—	2	1	no	—
1932	C₄	—	2	1	no	—
1933	C₄	—	2	1	no	—
1934	C₄	—	2	1	no	—
1935	C₄	—	2	1	no	—
1936	C₄	—	2	1	no	—
1937	C₄	—	2	1	no	—
1938	C₄	—	2	1	no	—
1939	C₄	—	5	2	no	—
1940	C₄	—	5	2	no	—
1941	C₄	—	10	1	no	—
1942	C₄	—	10	1	no	—
1943	C₄	—	10	1	no	—
1944	C₄	—	10	1	no	—
1945	C₄	—	10	1	no	—
1946	C₄	—	10	1	no	—
1947	C₄	—	10	1	no	—
1948	C₄	—	10	1	no	—
1949	C₄	—	10	1	no	—
1950	C₄	—	10	1	no	—
1951	C₄	C₃×D₅×#41	1	2	yes	—
1952	C₃	#10618051	1	1	yes	characteristic, direct product factor, Sylow
1953	C₂	—	2	2	no	—
1954	C₂	—	4	1	no	—
1955	C₂	—	4	1	no	—
1956	C₂	—	10	2	no	—
1957	C₂	—	10	2	no	—
1958	C₂	—	20	1	no	—
1959	C₂	—	20	1	no	—
1960	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1961	C₂	C₂×C₃×D₅×#41	1	1	yes	characteristic
1962	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×#3475
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×#66043	C₂	semidirect
3. C₃×#66042	C₂	semidirect
4. C₃×#66039	C₂	semidirect
5. C₃×#66036	C₂	semidirect
6. C₃×#66027	C₂	semidirect
7. C₃×#66027	C₂	semidirect
8. C₃×#66013	C₂	semidirect
9. C₃×#66004	C₂	semidirect
10. C₃×#65992	C₂	semidirect
11. C₃×#65989	C₂	semidirect
12. C₃×#65988	C₂	semidirect
13. C₃×#65984	C₂	semidirect
14. C₃×#65971	C₂	semidirect
15. C₃×#65970	C₂	semidirect
16. C₃×#65944	C₂	semidirect
17. C₃×#65935	C₂	semidirect
18. C₃×#65914	C₂	semidirect
19. C₃×#65912	C₂	semidirect
20. C₃×#65881	C₂	semidirect
21. C₃×#65881	C₂	semidirect
22. C₃×C₄×D₄×D₅	C₂	semidirect
23. C₃×#65872	C₂	semidirect
24. C₃×#65872	C₂	semidirect
25. C₃×C₄×#711	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×C₄×#709	C₂	semidirect
31. C₂×C₃×#4018	C₂	semidirect
32. #10618051	C₃	direct (N × H)
39. C₃×C₅×#126	C₂²	semidirect
40. C₃×C₅×#126	C₂²	semidirect
41. C₃×C₅×#125	C₂²	semidirect
42. C₃×C₅×#124	C₂²	semidirect
44. C₃×C₅×#123	C₂²	semidirect
45. C₃×C₅×C₂²⋊Q₈	C₂²	semidirect
47. C₃×C₄×C₅×Q₈	C₂²	semidirect
49. C₃×C₄×C₅×D₄	C₂²	semidirect
50. C₃×C₄×C₅×D₄	C₂²	semidirect
51. C₃×C₅×#117	C₂²	semidirect
52. C₃×C₅×#117	C₂²	semidirect
53. C₂×C₃×C₄²×C₅	C₂²	semidirect
54. C₃×#4093	C₂²	semidirect
56. C₃×#4092	C₂²	semidirect
57. C₃×#4090	C₂²	semidirect
60. C₃×#4085	C₂²	semidirect
61. C₃×#4085	C₂²	semidirect
65. C₃×#4081	C₂²	semidirect
67. C₃×D₄×Dic₅	C₂²	semidirect
71. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
72. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
73. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
74. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
75. C₃×C₄×C₂²⋊D₅	C₂²	semidirect
78. C₃×#4072	C₂²	semidirect
79. C₃×#4072	C₂²	semidirect
80. C₂×C₃×#683	C₂²	semidirect
81. C₂×C₃×#683	C₂²	semidirect
82. C₂×C₃×C₄×Dic₅	C₂²	semidirect
83. C₂×C₃×C₄×Dic₅	C₂²	semidirect
84. C₃×#4044	C₂²	semidirect
85. C₃×#4044	C₂²	semidirect
86. C₃×#4044	C₂²	semidirect
87. C₃×#4044	C₂²	semidirect
88. C₃×#4044	C₂²	semidirect
89. C₃×#4044	C₂²	semidirect
93. C₃×#4042	C₂²	semidirect
94. C₃×#4042	C₂²	semidirect
95. C₃×#4042	C₂²	semidirect
96. C₃×#4042	C₂²	semidirect
102. C₃×#4040	C₂²	semidirect
103. C₃×#4040	C₂²	semidirect
109. C₃×#4038	C₂²	semidirect
111. C₃×D₅×C₄⋊C₄	C₂²	semidirect
112. C₃×D₅×C₄⋊C₄	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×#4033	C₂²	semidirect
122. C₃×#4033	C₂²	semidirect
123. C₃×#4033	C₂²	semidirect
124. C₃×#4032	C₂²	semidirect
125. C₃×#4032	C₂²	semidirect
128. C₃×#4031	C₂²	semidirect
129. C₃×#4031	C₂²	semidirect
132. C₃×#4030	C₂²	semidirect
133. C₃×#4030	C₂²	semidirect
136. C₃×#4029	C₂²	semidirect
137. C₃×#4029	C₂²	semidirect
145. C₃×#4027	C₂²	semidirect
146. C₃×#4027	C₂²	semidirect
147. C₃×#4027	C₂²	semidirect
152. C₃×#4025	C₂²	semidirect
153. C₃×#4025	C₂²	semidirect
154. C₃×#4025	C₂²	semidirect
155. C₃×#4025	C₂²	semidirect
156. C₃×#4024	C₂²	semidirect
157. C₃×#4024	C₂²	semidirect
158. C₃×#4024	C₂²	semidirect
159. C₃×#4024	C₂²	semidirect
160. C₃×#4023	C₂²	semidirect
161. C₃×#4023	C₂²	semidirect
162. C₃×#4023	C₂²	semidirect
163. C₃×#4023	C₂²	semidirect
165. C₃×C₄×D₂₀	C₂²	semidirect
166. C₃×C₄×D₂₀	C₂²	semidirect
167. C₃×C₄×D₂₀	C₂²	semidirect
173. C₃×#4018	C₂²	semidirect
174. C₃×#4018	C₂²	semidirect
175. C₃×#4018	C₂²	semidirect
176. C₃×#4018	C₂²	semidirect
177. C₃×#4018	C₂²	semidirect
178. C₃×#4018	C₂²	semidirect
179. C₃×#4018	C₂²	semidirect
181. C₃×C₄²×D₅	C₂²	semidirect
182. C₃×C₄²×D₅	C₂²	semidirect
183. C₃×C₄²×D₅	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. #66043	C₂×C₃	semidirect
191. #66042	C₂×C₃	semidirect
192. #66039	C₂×C₃	semidirect
193. #66036	C₂×C₃	semidirect
194. #66027	C₂×C₃	semidirect
195. #66027	C₂×C₃	semidirect
196. #66013	C₂×C₃	semidirect
197. #66004	C₂×C₃	semidirect
198. #65992	C₂×C₃	semidirect
199. #65989	C₂×C₃	semidirect
200. #65988	C₂×C₃	semidirect
201. #65984	C₂×C₃	semidirect
202. #65971	C₂×C₃	semidirect
203. #65970	C₂×C₃	semidirect
204. #65944	C₂×C₃	semidirect
205. #65935	C₂×C₃	semidirect
206. #65914	C₂×C₃	semidirect
207. #65912	C₂×C₃	semidirect
208. #65881	C₂×C₃	semidirect
209. #65881	C₂×C₃	semidirect
210. C₄×D₄×D₅	C₂×C₃	semidirect
211. #65872	C₂×C₃	semidirect
212. #65872	C₂×C₃	semidirect
213. C₄×#711	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. C₄×#709	C₂×C₃	semidirect
219. C₂×#4018	C₂×C₃	semidirect
403. C₃×#529	D₅	semidirect
418. C₅×#126	C₂²×C₃	semidirect
419. C₅×#126	C₂²×C₃	semidirect
420. C₅×#125	C₂²×C₃	semidirect
421. C₅×#124	C₂²×C₃	semidirect
423. C₅×#123	C₂²×C₃	semidirect
424. C₅×C₂²⋊Q₈	C₂²×C₃	semidirect
426. C₄×C₅×Q₈	C₂²×C₃	semidirect
428. C₄×C₅×D₄	C₂²×C₃	semidirect
429. C₄×C₅×D₄	C₂²×C₃	semidirect
430. C₅×#117	C₂²×C₃	semidirect
431. C₅×#117	C₂²×C₃	semidirect
432. C₂×C₄²×C₅	C₂²×C₃	semidirect
433. #4093	C₂²×C₃	semidirect
435. #4092	C₂²×C₃	semidirect
436. #4090	C₂²×C₃	semidirect
439. #4085	C₂²×C₃	semidirect
440. #4085	C₂²×C₃	semidirect
444. #4081	C₂²×C₃	semidirect
446. D₄×Dic₅	C₂²×C₃	semidirect
450. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
451. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
452. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
453. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
454. C₄×C₂²⋊D₅	C₂²×C₃	semidirect
457. #4072	C₂²×C₃	semidirect
458. #4072	C₂²×C₃	semidirect
459. C₂×#683	C₂²×C₃	semidirect
460. C₂×#683	C₂²×C₃	semidirect
461. C₂×C₄×Dic₅	C₂²×C₃	semidirect
462. C₂×C₄×Dic₅	C₂²×C₃	semidirect
463. #4044	C₂²×C₃	semidirect
464. #4044	C₂²×C₃	semidirect
465. #4044	C₂²×C₃	semidirect
466. #4044	C₂²×C₃	semidirect
467. #4044	C₂²×C₃	semidirect
468. #4044	C₂²×C₃	semidirect
472. #4042	C₂²×C₃	semidirect
473. #4042	C₂²×C₃	semidirect
474. #4042	C₂²×C₃	semidirect
475. #4042	C₂²×C₃	semidirect
481. #4040	C₂²×C₃	semidirect
482. #4040	C₂²×C₃	semidirect
488. #4038	C₂²×C₃	semidirect
490. D₅×C₄⋊C₄	C₂²×C₃	semidirect
491. D₅×C₄⋊C₄	C₂²×C₃	semidirect
492. #4036	C₂²×C₃	semidirect
493. #4035	C₂²×C₃	semidirect
494. #4035	C₂²×C₃	semidirect
495. #4035	C₂²×C₃	semidirect
496. #4035	C₂²×C₃	semidirect
497. #4035	C₂²×C₃	semidirect
498. #4035	C₂²×C₃	semidirect
499. #4034	C₂²×C₃	semidirect
500. #4033	C₂²×C₃	semidirect
501. #4033	C₂²×C₃	semidirect
502. #4033	C₂²×C₃	semidirect
503. #4032	C₂²×C₃	semidirect
504. #4032	C₂²×C₃	semidirect
507. #4031	C₂²×C₃	semidirect
508. #4031	C₂²×C₃	semidirect
511. #4030	C₂²×C₃	semidirect
512. #4030	C₂²×C₃	semidirect
515. #4029	C₂²×C₃	semidirect
516. #4029	C₂²×C₃	semidirect
524. #4027	C₂²×C₃	semidirect
525. #4027	C₂²×C₃	semidirect
526. #4027	C₂²×C₃	semidirect
531. #4025	C₂²×C₃	semidirect
532. #4025	C₂²×C₃	semidirect
533. #4025	C₂²×C₃	semidirect
534. #4025	C₂²×C₃	semidirect
535. #4024	C₂²×C₃	semidirect
536. #4024	C₂²×C₃	semidirect
537. #4024	C₂²×C₃	semidirect
538. #4024	C₂²×C₃	semidirect
539. #4023	C₂²×C₃	semidirect
540. #4023	C₂²×C₃	semidirect
541. #4023	C₂²×C₃	semidirect
542. #4023	C₂²×C₃	semidirect
544. C₄×D₂₀	C₂²×C₃	semidirect
545. C₄×D₂₀	C₂²×C₃	semidirect
546. C₄×D₂₀	C₂²×C₃	semidirect
552. #4018	C₂²×C₃	semidirect
553. #4018	C₂²×C₃	semidirect
554. #4018	C₂²×C₃	semidirect
555. #4018	C₂²×C₃	semidirect
556. #4018	C₂²×C₃	semidirect
557. #4018	C₂²×C₃	semidirect
558. #4018	C₂²×C₃	semidirect
560. C₄²×D₅	C₂²×C₃	semidirect
561. C₄²×D₅	C₂²×C₃	semidirect
562. C₄²×D₅	C₂²×C₃	semidirect
563. C₄×Dic₁₀	C₂²×C₃	semidirect
564. C₄×Dic₁₀	C₂²×C₃	semidirect
565. C₄×Dic₁₀	C₂²×C₃	semidirect
566. C₄×Dic₁₀	C₂²×C₃	semidirect
609. C₃×C₂²⋊D₅	#41	semidirect
647. C₃×C₄×D₅	#41	semidirect
670. C₃×#126	C₂×D₅	semidirect
671. C₃×#126	C₂×D₅	semidirect
679. C₃×#125	C₂×D₅	semidirect
685. C₃×#124	C₂×D₅	semidirect
701. C₃×#123	C₂×D₅	semidirect
715. C₃×C₂²⋊Q₈	C₂×D₅	semidirect
737. C₃×C₄×Q₈	C₂×D₅	semidirect
764. C₃×C₄×D₄	C₂×D₅	semidirect
765. C₃×C₄×D₄	C₂×D₅	semidirect
787. C₃×#117	C₂×D₅	semidirect
788. C₃×#117	C₂×D₅	semidirect
806. C₂×C₃×C₄²	C₂×D₅	semidirect
990. #529	C₃×D₅	semidirect
1249. C₂²⋊D₅	C₃×#41	semidirect
1287. C₄×D₅	C₃×#41	semidirect
1310. #126	C₂×C₃×D₅	semidirect
1311. #126	C₂×C₃×D₅	semidirect
1319. #125	C₂×C₃×D₅	semidirect
1325. #124	C₂×C₃×D₅	semidirect
1341. #123	C₂×C₃×D₅	semidirect
1355. C₂²⋊Q₈	C₂×C₃×D₅	semidirect
1377. C₄×Q₈	C₂×C₃×D₅	semidirect
1404. C₄×D₄	C₂×C₃×D₅	semidirect
1405. C₄×D₄	C₂×C₃×D₅	semidirect
1427. #117	C₂×C₃×D₅	semidirect
1428. #117	C₂×C₃×D₅	semidirect
1446. C₂×C₄²	C₂×C₃×D₅	semidirect
1750. C₃×C₅	#3475	semidirect
1903. C₅	C₃×#3475	semidirect
1952. C₃	#10618051	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×#66043	2
C₃×#66042	2
C₃×#66039	2
C₃×#66036	2
C₃×#66027	2
C₃×#66013	2
C₃×#66004	2
C₃×#65992	2
C₃×#65989	2
C₃×#65988	2
C₃×#65984	2
C₃×#65971	2
C₃×#65970	2
C₃×#65944	2
C₃×#65935	2
C₃×#65914	2
C₃×#65912	2
C₃×#65881	2
C₃×C₄×D₄×D₅	2
C₃×#65872	2
C₃×C₄×#711	2
C₃×#65862	2
C₃×#65856	2
C₃×D₅×#117	2
C₃×C₄×#709	2
C₂×C₃×#4018	2
#10618051	3
C₃×#3475	5

Subgroups — C3×#10618051 #14484112

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#10618051 #14484112