Subgroups — #12989645

Order 1280.

1660 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618928	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618850	C₂	1	1	yes	maximal, characteristic
3	C₅×#3372	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615423	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615363	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613478	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613477	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613463	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613463	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613351	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613342	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612971	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612967	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612956	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612952	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612847	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612834	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612149	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612149	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612145	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612144	C₂	1	1	yes	maximal, characteristic
22	#10612144	C₂	1	1	yes	maximal, characteristic
23	#10612139	C₂	1	1	yes	maximal, characteristic
24	#10611709	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611697	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611518	C₂	1	1	yes	maximal, characteristic
27	#10611510	C₂	1	1	yes	maximal, characteristic
28	#10611492	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611491	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611390	C₂	1	1	yes	maximal, characteristic
31	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic, complemented
33	C₅×#554	C₂²	1	1	yes	characteristic
34	#66065	C₂²	1	1	yes	characteristic
35	#66065	C₂²	1	1	yes	characteristic
36	#66063	C₂²	1	1	yes	characteristic
37	#66062	C₂²	1	1	yes	characteristic
38	#66061	C₂²	1	1	yes	characteristic
39	#66055	C₂²	1	1	yes	characteristic, complemented
40	#66055	C₂²	1	1	yes	characteristic, complemented
41	#66055	C₂²	1	1	yes	characteristic, complemented
42	#66031	—	2	1	no	—
43	#66030	—	2	1	no	—
44	#66030	—	2	1	no	—
45	#66024	C₂²	1	1	yes	characteristic
46	#66024	C₂²	1	1	yes	characteristic
47	#66023	C₂²	1	1	yes	characteristic
48	#66022	C₂²	1	1	yes	characteristic
49	C₅⋊#564	—	2	1	no	—
50	C₅⋊#564	—	2	1	no	—
51	#66019	—	2	1	no	—
52	#65970	—	2	1	no	—
53	#65970	—	2	1	no	—
54	#65968	—	2	1	no	—
55	#65968	—	2	1	no	—
56	#65966	—	2	1	no	—
57	D₅×C₂²⋊Q₈	—	2	1	no	—
58	#65917	—	2	1	no	—
59	#65917	C₂²	1	1	yes	characteristic
60	#65917	C₂²	1	1	yes	characteristic
61	#65913	C₂²	1	1	yes	characteristic
62	#65912	C₂²	1	1	yes	characteristic
63	#65912	C₂²	1	1	yes	characteristic
64	#65904	C₂²	1	1	yes	characteristic, complemented
65	#65903	C₂²	1	1	yes	characteristic, complemented
66	#65903	C₂²	1	1	yes	characteristic, complemented
67	#65901	—	2	1	no	—
68	#65901	C₂²	1	1	yes	characteristic, complemented
69	#65879	C₂²	1	1	yes	characteristic
70	#65879	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	#65873	C₂²	1	1	yes	characteristic
73	#65873	C₂²	1	1	yes	characteristic
74	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
75	#65845	—	2	1	no	—
76	C₂×#4042	—	2	1	no	—
77	C₅×#491	C₂²	1	1	yes	characteristic, complemented
78	C₅×#491	C₂²	1	1	yes	characteristic, complemented
79	C₅×#487	C₂²	1	1	yes	characteristic, complemented
80	C₅×#479	C₂²	1	1	yes	characteristic, complemented
81	C₅×#479	C₂²	1	1	yes	characteristic, complemented
82	C₅×#477	C₂²	1	1	yes	characteristic, complemented
83	C₅×#461	C₂²	1	1	yes	characteristic
84	C₅×#461	C₂²	1	1	yes	characteristic
85	C₅×#461	C₂²	1	1	yes	characteristic
86	C₅×#446	C₂²	1	1	yes	characteristic, complemented
87	C₅×#440	C₂²	1	1	yes	characteristic
88	C₅×#440	C₂²	1	1	yes	characteristic
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
90	#65458	C₂²	1	1	yes	characteristic
91	#65458	C₂²	1	1	yes	characteristic
92	#65458	C₂²	1	1	yes	characteristic
93	#65453	C₂²	1	1	yes	characteristic
94	#65453	C₂²	1	1	yes	characteristic
95	#65451	C₂²	1	1	yes	characteristic
96	#65451	C₂²	1	1	yes	characteristic
97	#65451	C₂²	1	1	yes	characteristic
98	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
100	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
102	#65383	C₂²	1	1	yes	characteristic, complemented
103	#65372	C₂²	1	1	yes	characteristic
104	#65372	C₂²	1	1	yes	characteristic
105	#65372	C₂²	1	1	yes	characteristic
106	#65371	C₂²	1	1	yes	characteristic, complemented
107	#65371	C₂²	1	1	yes	characteristic, complemented
108	#65370	C₂²	1	1	yes	characteristic, complemented
109	#65369	C₂²	1	1	yes	characteristic, complemented
110	#65354	C₂²	1	1	yes	characteristic, complemented
111	#65353	C₂²	1	1	yes	characteristic, complemented
112	#65352	C₂²	1	1	yes	characteristic, complemented
113	#65352	C₂²	1	1	yes	characteristic, complemented
114	#65315	C₂²	1	1	yes	characteristic
115	#65315	C₂²	1	1	yes	characteristic
116	C₄×#688	C₂²	1	1	yes	characteristic
117	#65313	C₂²	1	1	yes	characteristic, complemented
118	#65311	C₂²	1	1	yes	characteristic, complemented
119	#65311	C₂²	1	1	yes	characteristic, complemented
120	#65310	C₂²	1	1	yes	characteristic, complemented
121	#65307	C₂²	1	1	yes	characteristic
122	#65307	C₂²	1	1	yes	characteristic
123	C₄×#687	C₂²	1	1	yes	characteristic
124	#65298	C₂²	1	1	yes	characteristic
125	#65298	C₂²	1	1	yes	characteristic
126	#65297	C₂²	1	1	yes	characteristic
127	#65180	C₂²	1	1	yes	characteristic
128	#65179	C₂²	1	1	yes	characteristic
129	#65177	C₂²	1	1	yes	characteristic
130	#65173	C₂²	1	1	yes	characteristic
131	#65167	C₂²	1	1	yes	characteristic, complemented
132	#65165	C₂²	1	1	yes	characteristic, complemented
133	#65165	C₂²	1	1	yes	characteristic, complemented
134	#65163	C₂²	1	1	yes	characteristic, complemented
135	#65160	C₂²	1	1	yes	characteristic
136	#65156	C₂²	1	1	yes	characteristic
137	#65147	C₂²	1	1	yes	characteristic, complemented
138	#65144	C₂²	1	1	yes	characteristic, complemented
139	#65140	C₂²	1	1	yes	characteristic, complemented
140	#65136	C₂²	1	1	yes	characteristic
141	#65136	C₂²	1	1	yes	characteristic
142	#65131	C₂²	1	1	yes	characteristic
143	#65129	C₂²	1	1	yes	characteristic
144	#65129	C₂²	1	1	yes	characteristic
145	#65122	C₂²	1	1	yes	characteristic
146	#65119	C₂²	1	1	yes	characteristic, complemented
147	#65118	C₂²	1	1	yes	characteristic, complemented
148	#65118	C₂²	1	1	yes	characteristic, complemented
149	#65117	C₂²	1	1	yes	characteristic, complemented
150	#65117	C₂²	1	1	yes	characteristic, complemented
151	#65107	C₂²	1	1	yes	characteristic
152	#65107	C₂²	1	1	yes	characteristic
153	#65107	C₂²	1	1	yes	characteristic
154	#65106	C₂²	1	1	yes	characteristic
155	#65106	C₂²	1	1	yes	characteristic
156	#65104	C₂²	1	1	yes	characteristic
157	#65104	C₂²	1	1	yes	characteristic
158	#65104	C₂²	1	1	yes	characteristic
159	#65103	C₂²	1	1	yes	characteristic
160	#65103	C₂²	1	1	yes	characteristic
161	#65103	C₂²	1	1	yes	characteristic
162	#65098	C₂²	1	1	yes	characteristic
163	#65094	C₂²	1	1	yes	characteristic
164	#65094	C₂²	1	1	yes	characteristic
165	#65088	C₂²	1	1	yes	characteristic, complemented
166	#65088	C₂²	1	1	yes	characteristic, complemented
167	#65086	C₂²	1	1	yes	characteristic, complemented
168	#65086	C₂²	1	1	yes	characteristic, complemented
169	#65085	C₂²	1	1	yes	characteristic, complemented
170	#65085	C₂²	1	1	yes	characteristic, complemented
171	#65083	C₂²	1	1	yes	characteristic, complemented
172	#65083	C₂²	1	1	yes	characteristic, complemented
173	#65083	C₂²	1	1	yes	characteristic, complemented
174	#65083	C₂²	1	1	yes	characteristic, complemented
175	#65081	C₂²	1	1	yes	characteristic, complemented
176	#65081	C₂²	1	1	yes	characteristic, complemented
177	#65081	C₂²	1	1	yes	characteristic, complemented
178	#65081	C₂²	1	1	yes	characteristic, complemented
179	#65080	C₂²	1	1	yes	characteristic, complemented
180	#65080	C₂²	1	1	yes	characteristic, complemented
181	#65080	C₂²	1	1	yes	characteristic, complemented
182	#65080	C₂²	1	1	yes	characteristic, complemented
183	#65077	C₂²	1	1	yes	characteristic
184	#65077	C₂²	1	1	yes	characteristic
185	#65077	C₂²	1	1	yes	characteristic
186	#65077	C₂²	1	1	yes	characteristic
187	#65065	C₂²	1	1	yes	characteristic
188	#65055	C₂²	1	1	yes	characteristic
189	#65052	C₂²	1	1	yes	characteristic
190	#65048	C₂²	1	1	yes	characteristic
191	#64999	C₂²	1	1	yes	characteristic
192	#64999	C₂²	1	1	yes	characteristic
193	#64998	C₂²	1	1	yes	characteristic
194	#64994	C₂²	1	1	yes	characteristic
195	#64991	C₂²	1	1	yes	characteristic, complemented
196	#64991	C₂²	1	1	yes	characteristic, complemented
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	C₄×#677	C₂²	1	1	yes	characteristic
200	#64979	C₂²	1	1	yes	characteristic
201	#64972	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61848	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	—	2	1	no	—
205	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	—	2	1	no	—
207	C₂²×Dic₁₀	—	2	1	no	—
208	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
211	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×#125	—	2	1	no	—
216	C₅×#125	—	2	1	no	—
217	C₅×#125	—	2	1	no	—
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×C₂²⋊Q₈	—	2	1	no	—
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₄×C₅×Q₈	—	2	1	no	—
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₄⋊C₄	—	2	1	no	—
232	#4092	—	2	1	no	—
233	#4092	—	2	1	no	—
234	#4092	—	2	1	no	—
235	#4092	D₄	1	1	yes	characteristic
236	#4092	C₂³	1	1	yes	characteristic
237	#4092	C₂³	1	1	yes	characteristic
238	#4092	C₂³	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	—	2	1	no	—
247	#4090	D₄	1	1	yes	characteristic
248	#4090	C₂³	1	1	yes	characteristic
249	#4090	C₂³	1	1	yes	characteristic
250	#4090	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	D₄×Dic₅	C₂³	1	1	yes	characteristic
255	D₄×Dic₅	C₂³	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×#687	C₂³	1	1	yes	characteristic
258	C₄×C₂²⋊D₅	—	2	1	no	—
259	C₄×C₂²⋊D₅	—	2	1	no	—
260	C₄×C₂²⋊D₅	—	2	1	no	—
261	C₂×#685	—	2	1	no	—
262	C₂×#685	—	2	1	no	—
263	#4070	—	2	1	no	—
264	#4070	—	2	1	no	—
265	#4070	—	2	1	no	—
266	C₂×#683	—	2	1	no	—
267	C₂×#683	—	2	1	no	—
268	C₂×#677	C₂³	1	1	yes	characteristic
269	#4044	—	2	1	no	—
270	#4044	—	2	1	no	—
271	#4044	—	2	1	no	—
272	#4044	—	2	1	no	—
273	#4044	—	2	1	no	—
274	#4044	—	2	1	no	—
275	#4043	—	2	1	no	—
276	#4043	—	2	1	no	—
277	#4043	—	2	1	no	—
278	#4043	—	2	1	no	—
279	#4043	D₄	1	1	yes	characteristic
280	#4043	C₂³	1	1	yes	characteristic
281	#4042	—	2	1	no	—
282	#4042	—	2	1	no	—
283	#4042	—	2	1	no	—
284	#4042	—	2	1	no	—
285	#4042	—	2	1	no	—
286	#4042	—	2	1	no	—
287	#4042	—	2	1	no	—
288	#4042	—	2	1	no	—
289	#4042	—	2	1	no	—
290	#4042	—	2	1	no	—
291	#4042	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	D₄	1	1	yes	characteristic
295	#4042	D₄	1	1	yes	characteristic
296	#4039	C₂³	1	1	yes	characteristic
297	#4039	C₂³	1	1	yes	characteristic
298	#4039	C₂³	1	1	yes	characteristic
299	#4038	—	2	1	no	—
300	#4038	C₂³	1	1	yes	characteristic
301	#4038	C₂³	1	1	yes	characteristic
302	D₅×C₄⋊C₄	—	2	1	no	—
303	D₅×C₄⋊C₄	—	2	1	no	—
304	D₅×C₄⋊C₄	—	2	1	no	—
305	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	#4036	—	2	1	no	—
307	#4036	—	2	1	no	—
308	#4036	—	2	1	no	—
309	#4036	—	2	1	no	—
310	#4036	—	2	1	no	—
311	#4036	—	2	1	no	—
312	#4036	—	2	1	no	—
313	#4036	—	2	1	no	—
314	#4036	C₂³	1	1	yes	characteristic
315	#4036	C₂³	1	1	yes	characteristic
316	#4036	C₂³	1	1	yes	characteristic
317	#4036	C₂³	1	1	yes	characteristic
318	#4035	—	2	1	no	—
319	#4035	—	2	1	no	—
320	#4035	—	2	1	no	—
321	#4035	—	2	1	no	—
322	#4035	—	2	1	no	—
323	#4035	—	2	1	no	—
324	#4035	—	2	1	no	—
325	#4035	—	2	1	no	—
326	#4035	—	2	1	no	—
327	#4035	—	2	1	no	—
328	#4035	—	2	1	no	—
329	#4035	—	2	1	no	—
330	#4035	—	2	1	no	—
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4035	D₄	1	1	yes	characteristic
336	#4035	D₄	1	1	yes	characteristic
337	#4034	—	2	1	no	—
338	#4034	—	2	1	no	—
339	#4034	—	2	1	no	—
340	#4034	D₄	1	1	yes	characteristic
341	#4034	C₂³	1	1	yes	characteristic
342	#4034	C₂³	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4034	C₂³	1	1	yes	characteristic
345	#4034	C₂³	1	1	yes	characteristic
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	—	2	1	no	—
350	#4033	—	2	1	no	—
351	#4033	—	2	1	no	—
352	#4033	—	2	1	no	—
353	#4027	—	2	1	no	—
354	#4027	—	2	1	no	—
355	#4027	—	2	1	no	—
356	D₅×C₂²⋊C₄	—	2	1	no	—
357	D₅×C₂²⋊C₄	—	2	1	no	—
358	D₅×C₂²⋊C₄	—	2	1	no	—
359	#4024	—	2	1	no	—
360	#4024	—	2	1	no	—
361	#4024	—	2	1	no	—
362	#4024	—	2	1	no	—
363	#4024	—	2	1	no	—
364	#4024	—	2	1	no	—
365	#4022	—	2	1	no	—
366	#4022	—	2	1	no	—
367	C₄×D₂₀	C₂³	1	1	yes	characteristic
368	C₄×D₂₀	C₂³	1	1	yes	characteristic
369	C₄×D₂₀	C₂³	1	1	yes	characteristic
370	#4018	—	2	1	no	—
371	#4018	C₂³	1	1	yes	characteristic
372	#4018	C₂³	1	1	yes	characteristic
373	C₄²×D₅	C₂³	1	1	yes	characteristic
374	#4016	—	2	1	no	—
375	#4016	—	2	1	no	—
376	#4016	—	2	1	no	—
377	#4016	—	2	1	no	—
378	#4016	C₂³	1	1	yes	characteristic
379	#4016	C₂³	1	1	yes	characteristic
380	#4016	C₂³	1	1	yes	characteristic
381	#4016	C₂³	1	1	yes	characteristic
382	#4015	—	2	1	no	—
383	#4015	C₂³	1	1	yes	characteristic
384	#4015	C₂³	1	1	yes	characteristic
385	C₄×Dic₁₀	—	2	1	no	—
386	C₄×Dic₁₀	—	2	1	no	—
387	C₄×Dic₁₀	—	2	1	no	—
388	C₄×Dic₁₀	—	2	1	no	—
389	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
390	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
391	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
395	C₅×#107	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#106	C₂³	1	1	yes	characteristic
398	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₅×#103	C₂³	1	1	yes	characteristic
402	C₅×#103	C₂³	1	1	yes	characteristic
403	C₅×#103	C₂³	1	1	yes	characteristic
404	C₅×#103	C₂³	1	1	yes	characteristic
405	C₅×#103	C₂³	1	1	yes	characteristic
406	C₅×#103	C₂³	1	1	yes	characteristic
407	C₅×#103	C₂³	1	1	yes	characteristic
408	C₅×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#97	C₂³	1	1	yes	characteristic
412	C₅×#97	C₂³	1	1	yes	characteristic
413	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
414	#3967	C₂³	1	1	yes	characteristic
415	#3967	C₂³	1	1	yes	characteristic
416	#3967	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3953	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3952	C₂³	1	1	yes	characteristic
430	#3952	C₂³	1	1	yes	characteristic
431	#3952	C₂³	1	1	yes	characteristic
432	#3952	C₂³	1	1	yes	characteristic
433	#3950	C₂³	1	1	yes	characteristic
434	#3950	C₂³	1	1	yes	characteristic
435	#3950	C₂³	1	1	yes	characteristic
436	#3950	C₂³	1	1	yes	characteristic
437	#3949	C₂³	1	1	yes	characteristic
438	#3949	C₂³	1	1	yes	characteristic
439	#3949	C₂³	1	1	yes	characteristic
440	#3949	C₂³	1	1	yes	characteristic
441	#3949	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3948	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3947	C₂³	1	1	yes	characteristic
446	#3947	C₂³	1	1	yes	characteristic
447	#3946	C₂³	1	1	yes	characteristic
448	#3946	C₂³	1	1	yes	characteristic
449	#3946	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	C₈×Dic₅	C₂³	1	1	yes	characteristic
454	C₈×Dic₅	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	#3942	C₂³	1	1	yes	characteristic
458	#3942	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3556	—	5	1	no	—
480	#3501	—	5	1	no	—
481	#3388	—	5	1	no	—
482	#3388	—	5	1	no	—
483	#3388	—	5	1	no	—
484	#3388	—	5	1	no	—
485	#3386	—	5	1	no	—
486	#3386	—	5	1	no	—
487	#3381	—	5	1	no	—
488	#3381	—	5	1	no	—
489	#3372	—	5	1	no	—
490	#3372	—	5	1	no	—
491	#3372	—	5	1	no	—
492	#3372	—	5	1	no	—
493	#3372	—	5	1	no	—
494	#3372	D₅	1	1	yes	characteristic, complemented
495	#3359	—	5	1	no	—
496	#3359	—	5	1	no	—
497	#3242	—	5	1	no	—
498	#3242	—	5	1	no	—
499	#3242	—	5	1	no	—
500	#3242	—	5	1	no	—
501	#3237	—	5	1	no	—
502	#3231	—	5	1	no	—
503	#3123	—	5	1	no	—
504	#3123	—	5	1	no	—
505	#3123	—	5	1	no	—
506	#3123	—	5	1	no	—
507	#3110	—	5	1	no	—
508	#3101	—	5	1	no	—
509	#2985	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	1	no	—
512	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	—	2	1	no	—
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂×C₂²⋊D₅	—	2	1	no	—
521	C₂²×Dic₅	—	2	1	no	—
522	C₂²×Dic₅	—	2	1	no	—
523	C₂²×Dic₅	—	2	1	no	—
524	Q₈×D₅	—	8	2	no	—
525	D₄×D₅	—	2	2	no	—
526	D₄×D₅	—	2	2	no	—
527	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
528	C₂×C₄×D₅	—	2	1	no	—
529	C₂×C₄×D₅	—	2	1	no	—
530	C₂×C₄×D₅	—	2	1	no	—
531	C₂×C₄×D₅	—	2	1	no	—
532	C₂×C₄×D₅	—	2	1	no	—
533	C₂×C₄×D₅	—	2	1	no	—
534	C₂×C₄×D₅	—	2	1	no	—
535	C₂×C₄×D₅	—	8	2	no	—
536	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
537	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
538	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
539	C₂×Dic₁₀	—	2	1	no	—
540	C₂×Dic₁₀	—	2	1	no	—
541	C₂×Dic₁₀	—	2	1	no	—
542	C₂×Dic₁₀	—	2	1	no	—
543	C₂×Dic₁₀	—	2	1	no	—
544	C₂×Dic₁₀	—	2	1	no	—
545	C₂×Dic₁₀	—	2	1	no	—
546	C₂×Dic₁₀	—	8	2	no	—
547	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
548	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
549	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
550	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
551	C₅×SD₁₆	—	2	2	no	—
552	C₅×SD₁₆	—	2	2	no	—
553	C₅×SD₁₆	—	2	2	no	—
554	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
555	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
556	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
557	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
558	C₅×C₄⋊C₄	—	2	1	no	—
559	C₅×C₄⋊C₄	—	2	1	no	—
560	C₅×C₄⋊C₄	—	2	1	no	—
561	C₅×C₄⋊C₄	—	2	1	no	—
562	C₅×C₄⋊C₄	—	2	1	no	—
563	C₅×C₄⋊C₄	—	2	1	no	—
564	C₅×C₄⋊C₄	—	2	1	no	—
565	C₅×C₄⋊C₄	—	2	1	no	—
566	C₅×C₄⋊C₄	—	2	1	no	—
567	C₅×C₄⋊C₄	—	2	1	no	—
568	C₅×C₄⋊C₄	—	2	1	no	—
569	C₅×C₄⋊C₄	—	2	1	no	—
570	C₅×C₄⋊C₄	—	2	1	no	—
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
573	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
574	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
575	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
576	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
577	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
578	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₅×C₂²⋊C₄	—	2	1	no	—
580	C₅×C₂²⋊C₄	—	2	1	no	—
581	C₅×C₂²⋊C₄	—	2	1	no	—
582	C₄²×C₅	—	2	1	no	—
583	C₄²×C₅	—	2	1	no	—
584	C₄²×C₅	—	2	1	no	—
585	C₄²×C₅	C₂⁴	1	1	yes	characteristic
586	C₄²×C₅	C₂⁴	1	1	yes	characteristic
587	C₄²×C₅	C₂⁴	1	1	yes	characteristic
588	C₂²⋊Dic₅	—	2	1	no	—
589	C₂²⋊Dic₅	—	2	1	no	—
590	C₂²⋊Dic₅	—	2	1	no	—
591	#688	—	2	2	no	—
592	#688	—	2	2	no	—
593	#688	—	2	2	no	—
594	#687	—	2	2	no	—
595	#685	—	2	1	no	—
596	#685	—	2	1	no	—
597	#685	—	2	1	no	—
598	#685	—	2	1	no	—
599	#685	—	2	1	no	—
600	#685	—	2	1	no	—
601	#685	—	2	1	no	—
602	#685	—	2	1	no	—
603	#685	—	2	1	no	—
604	#685	—	2	1	no	—
605	#685	—	2	1	no	—
606	#685	—	2	1	no	—
607	#685	C₂×D₄	1	1	yes	characteristic
608	#685	C₂×D₄	1	1	yes	characteristic
609	#685	C₂×D₄	1	1	yes	characteristic
610	#685	C₂×D₄	1	1	yes	characteristic
611	C₄⋊Dic₅	—	2	1	no	—
612	C₄⋊Dic₅	—	2	1	no	—
613	C₄⋊Dic₅	—	2	1	no	—
614	C₄⋊Dic₅	—	2	1	no	—
615	C₄⋊Dic₅	—	2	1	no	—
616	C₄⋊Dic₅	—	2	1	no	—
617	C₄⋊Dic₅	—	2	1	no	—
618	C₄⋊Dic₅	—	2	1	no	—
619	C₄⋊Dic₅	—	2	1	no	—
620	C₄⋊Dic₅	—	2	1	no	—
621	C₄⋊Dic₅	—	2	1	no	—
622	C₄⋊Dic₅	—	2	1	no	—
623	C₄⋊Dic₅	—	2	1	no	—
624	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
626	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
627	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
628	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
629	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
630	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
632	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
633	#683	—	2	1	no	—
634	#683	—	2	1	no	—
635	#683	—	2	1	no	—
636	#683	—	2	1	no	—
637	#683	—	2	1	no	—
638	#683	—	2	1	no	—
639	#683	—	2	1	no	—
640	#683	—	2	1	no	—
641	#683	—	2	1	no	—
642	#683	—	2	1	no	—
643	#683	—	2	1	no	—
644	#683	—	2	1	no	—
645	#683	—	2	1	no	—
646	#683	—	2	1	no	—
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	C₂×D₄	1	1	yes	characteristic
664	#683	C₂×D₄	1	1	yes	characteristic
665	#683	C₂×D₄	1	1	yes	characteristic
666	#683	C₂×D₄	1	1	yes	characteristic
667	#683	C₂×D₄	1	1	yes	characteristic
668	#683	C₂×D₄	1	1	yes	characteristic
669	#683	C₂×D₄	1	1	yes	characteristic
670	#683	C₂×D₄	1	1	yes	characteristic
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	C₄×Dic₅	—	2	1	no	—
674	C₄×Dic₅	—	2	1	no	—
675	C₄×Dic₅	—	2	1	no	—
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
689	C₂×#168	C₂⁴	1	1	yes	characteristic
690	C₂×#168	C₂⁴	1	1	yes	characteristic
691	C₂×#168	C₂⁴	1	1	yes	characteristic
692	C₂×#168	C₂⁴	1	1	yes	characteristic
693	#677	—	2	2	no	—
694	#564	—	10	1	no	—
695	#564	—	10	1	no	—
696	#557	—	5	1	no	—
697	#557	—	5	1	no	—
698	#557	—	5	1	no	—
699	#557	—	5	1	no	—
700	#557	—	5	1	no	—
701	#557	—	5	1	no	—
702	#557	—	5	1	no	—
703	#557	—	10	1	no	—
704	#557	—	10	1	no	—
705	#557	C₂×D₅	1	1	yes	characteristic, complemented
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	10	1	no	—
712	#554	—	10	1	no	—
713	#554	—	10	1	no	—
714	#554	C₂×D₅	1	1	yes	characteristic
715	D₄×Q₈	—	5	1	no	—
716	D₄×Q₈	—	5	1	no	—
717	D₄×Q₈	—	10	1	no	—
718	#544	—	5	1	no	—
719	#544	—	5	1	no	—
720	#543	—	10	1	no	—
721	#543	—	10	1	no	—
722	#541	—	5	1	no	—
723	#541	—	5	1	no	—
724	#541	—	5	1	no	—
725	#541	—	5	1	no	—
726	#541	—	10	1	no	—
727	#541	—	10	1	no	—
728	#541	—	10	1	no	—
729	#541	—	10	1	no	—
730	#533	—	5	1	no	—
731	#533	—	5	1	no	—
732	#533	—	5	1	no	—
733	#533	—	5	1	no	—
734	C₂×C₂²⋊Q₈	—	10	1	no	—
735	C₂×C₂²⋊Q₈	—	10	1	no	—
736	#518	—	5	1	no	—
737	#518	—	5	1	no	—
738	C₂×C₄×D₄	—	5	1	no	—
739	#501	—	5	1	no	—
740	#501	—	5	1	no	—
741	#501	—	5	1	no	—
742	#501	—	5	1	no	—
743	#501	—	5	1	no	—
744	#501	—	5	1	no	—
745	#500	—	5	1	no	—
746	#499	—	5	1	no	—
747	#499	—	5	1	no	—
748	#499	—	5	1	no	—
749	#499	—	5	1	no	—
750	#498	—	5	1	no	—
751	#491	—	5	1	no	—
752	#491	—	5	1	no	—
753	#491	—	5	1	no	—
754	#491	—	5	1	no	—
755	#491	C₂×D₅	1	1	yes	characteristic, complemented
756	#491	C₂×D₅	1	1	yes	characteristic, complemented
757	#487	—	5	1	no	—
758	#487	—	5	1	no	—
759	#487	—	5	1	no	—
760	#487	—	5	1	no	—
761	#487	—	5	1	no	—
762	#487	C₂×D₅	1	1	yes	characteristic, complemented
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#485	—	5	1	no	—
769	#485	—	5	1	no	—
770	#485	—	5	1	no	—
771	#484	—	5	1	no	—
772	#484	—	5	1	no	—
773	#483	—	5	1	no	—
774	#483	—	5	1	no	—
775	#479	—	5	1	no	—
776	#479	—	5	1	no	—
777	#479	—	5	1	no	—
778	#479	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	C₂×D₅	1	1	yes	characteristic, complemented
786	#479	C₂×D₅	1	1	yes	characteristic, complemented
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#477	C₂×D₅	1	1	yes	characteristic, complemented
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#475	—	5	1	no	—
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#461	—	5	1	no	—
812	#461	—	5	1	no	—
813	#461	—	5	1	no	—
814	#461	—	5	1	no	—
815	#461	—	5	1	no	—
816	#461	—	5	1	no	—
817	#461	—	5	1	no	—
818	#461	—	5	1	no	—
819	#461	—	5	1	no	—
820	#461	C₂×D₅	1	1	yes	characteristic
821	#461	C₂×D₅	1	1	yes	characteristic
822	#461	C₂×D₅	1	1	yes	characteristic
823	#450	—	5	1	no	—
824	#450	—	5	1	no	—
825	#450	—	5	1	no	—
826	#450	—	5	1	no	—
827	#446	—	5	1	no	—
828	#446	—	5	1	no	—
829	#446	—	5	1	no	—
830	#446	—	5	1	no	—
831	#446	—	5	1	no	—
832	#446	C₂×D₅	1	1	yes	characteristic, complemented
833	C₈×Q₈	—	5	1	no	—
834	C₈×Q₈	—	5	1	no	—
835	#440	—	5	1	no	—
836	#440	—	5	1	no	—
837	#440	—	5	1	no	—
838	#440	—	5	1	no	—
839	#440	—	5	1	no	—
840	#440	—	5	1	no	—
841	#440	—	5	1	no	—
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	C₂×D₅	1	1	yes	characteristic
846	#440	C₂×D₅	1	1	yes	characteristic
847	C₄×SD₁₆	—	5	1	no	—
848	C₄×SD₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
859	#433	—	5	1	no	—
860	#433	—	5	1	no	—
861	#433	—	5	1	no	—
862	#433	—	5	1	no	—
863	#432	—	5	1	no	—
864	#431	—	5	1	no	—
865	C₂³×C₅	—	2	1	no	—
866	C₂²×D₅	—	2	1	no	—
867	C₂²×D₅	—	2	4	no	—
868	C₂²×D₅	—	8	1	no	—
869	C₂²×D₅	—	8	1	no	—
870	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
871	C₅×Q₈	—	2	1	no	—
872	C₅×Q₈	—	2	1	no	—
873	C₅×Q₈	—	2	1	no	—
874	C₅×Q₈	—	2	1	no	—
875	C₅×Q₈	—	2	1	no	—
876	C₅×Q₈	—	2	1	no	—
877	C₅×Q₈	—	4	1	no	—
878	C₅×Q₈	—	8	1	no	—
879	C₅×D₄	—	2	1	no	—
880	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
881	C₂×C₄×C₅	—	2	1	no	—
882	C₂×C₄×C₅	—	2	1	no	—
883	C₂×C₄×C₅	—	2	1	no	—
884	C₂×C₄×C₅	—	2	1	no	—
885	C₂×C₄×C₅	—	2	1	no	—
886	C₂×C₄×C₅	—	2	1	no	—
887	C₂×C₄×C₅	—	2	1	no	—
888	C₂×C₄×C₅	—	8	1	no	—
889	C₂×C₄×C₅	—	8	1	no	—
890	C₂×C₄×C₅	—	8	1	no	—
891	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
892	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
893	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
897	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
898	C₂²⋊D₅	—	2	4	no	—
899	C₂×Dic₅	—	2	1	no	—
900	C₂×Dic₅	—	2	1	no	—
901	C₂×Dic₅	—	2	1	no	—
902	C₂×Dic₅	—	2	1	no	—
903	C₂×Dic₅	—	2	1	no	—
904	C₂×Dic₅	—	2	1	no	—
905	C₂×Dic₅	—	2	1	no	—
906	C₂×Dic₅	—	4	2	no	—
907	C₂×Dic₅	—	8	1	no	—
908	C₂×Dic₅	—	8	1	no	—
909	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
910	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
911	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
916	D₂₀	—	2	1	no	—
917	D₂₀	2₋¹⁺⁴	1	2	yes	—
918	C₄×D₅	—	2	1	no	—
919	C₄×D₅	—	2	1	no	—
920	C₄×D₅	—	2	2	no	—
921	C₄×D₅	—	4	1	no	—
922	C₄×D₅	—	4	2	no	—
923	C₄×D₅	—	8	1	no	—
924	C₄×D₅	—	8	1	no	—
925	C₄×D₅	—	8	1	no	—
926	C₄×D₅	—	8	1	no	—
927	C₄×D₅	—	8	1	no	—
928	C₄×D₅	—	8	1	no	—
929	Dic₁₀	—	2	2	no	—
930	Dic₁₀	—	2	2	no	—
931	Dic₁₀	—	2	1	no	—
932	Dic₁₀	—	2	1	no	—
933	Dic₁₀	—	4	1	no	—
934	Dic₁₀	—	4	2	no	—
935	Dic₁₀	—	4	2	no	—
936	Dic₁₀	—	4	2	no	—
937	Dic₁₀	—	8	1	no	—
938	Dic₁₀	—	8	1	no	—
939	Dic₁₀	—	8	1	no	—
940	Dic₁₀	—	8	1	no	—
941	C₅×C₈	—	2	1	no	—
942	C₅×C₈	—	2	1	no	—
943	C₅×C₈	—	2	1	no	—
944	C₅×C₈	—	2	1	no	—
945	#168	—	2	1	no	—
946	#168	—	2	1	no	—
947	#168	—	2	1	no	—
948	#168	—	2	1	no	—
949	C₂²×Q₈	—	10	1	no	—
950	C₂²×Q₈	—	10	1	no	—
951	C₂²×D₄	—	5	1	no	—
952	C₂³×C₄	—	10	1	no	—
953	C₂×SD₁₆	—	5	1	no	—
954	C₂×SD₁₆	—	5	1	no	—
955	C₂×SD₁₆	—	5	1	no	—
956	C₂×SD₁₆	—	5	1	no	—
957	C₂×SD₁₆	—	5	1	no	—
958	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
959	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
960	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
961	C₄⋊Q₈	—	5	1	no	—
962	C₄⋊Q₈	—	5	1	no	—
963	C₄⋊Q₈	—	5	1	no	—
964	C₄⋊Q₈	—	5	1	no	—
965	C₄⋊Q₈	—	5	1	no	—
966	C₄⋊Q₈	—	5	1	no	—
967	C₄⋊Q₈	—	5	1	no	—
968	C₄⋊Q₈	—	5	1	no	—
969	C₄⋊Q₈	—	5	1	no	—
970	C₄⋊Q₈	—	5	1	no	—
971	C₄⋊Q₈	—	5	1	no	—
972	C₄⋊Q₈	—	5	1	no	—
973	C₄⋊Q₈	—	10	1	no	—
974	C₄⋊Q₈	—	10	1	no	—
975	C₄⋊Q₈	—	10	1	no	—
976	C₄⋊Q₈	—	10	1	no	—
977	C₄⋊Q₈	—	10	1	no	—
978	C₄⋊Q₈	—	10	1	no	—
979	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
980	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
981	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
982	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
983	#126	—	10	1	no	—
984	#126	—	10	1	no	—
985	#126	—	10	1	no	—
986	#126	—	10	1	no	—
987	#126	—	10	1	no	—
988	#126	—	10	1	no	—
989	#126	—	10	1	no	—
990	#126	—	10	1	no	—
991	#125	—	2	1	no	—
992	#125	—	2	1	no	—
993	#125	—	2	1	no	—
994	#125	—	5	1	no	—
995	#125	—	5	1	no	—
996	#125	—	5	1	no	—
997	#125	—	5	1	no	—
998	#125	—	5	1	no	—
999	#125	—	5	1	no	—
1000	#125	—	5	1	no	—
1001	#125	—	5	1	no	—
1002	#125	—	5	1	no	—
1003	#125	—	5	1	no	—
1004	#125	—	10	1	no	—
1005	#125	—	10	1	no	—
1006	#125	—	10	1	no	—
1007	#125	—	10	1	no	—
1008	#125	—	10	1	no	—
1009	#125	—	10	1	no	—
1010	#125	—	10	1	no	—
1011	#125	—	10	1	no	—
1012	#125	—	10	1	no	—
1013	#125	—	10	1	no	—
1014	#125	—	10	1	no	—
1015	#125	—	10	1	no	—
1016	#125	—	10	1	no	—
1017	#125	—	10	1	no	—
1018	#125	—	10	1	no	—
1019	#125	—	10	1	no	—
1020	#125	—	10	1	no	—
1021	#125	—	10	1	no	—
1022	#125	—	10	1	no	—
1023	#125	—	10	1	no	—
1024	#125	—	10	1	no	—
1025	#125	—	10	1	no	—
1026	#125	—	10	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	—	10	1	no	—
1033	#125	C₂²×D₅	1	1	yes	characteristic
1034	#125	C₂²×D₅	1	1	yes	characteristic
1035	C₂²⋊Q₈	—	2	1	no	—
1036	C₂²⋊Q₈	—	2	1	no	—
1037	C₂²⋊Q₈	—	2	1	no	—
1038	C₂²⋊Q₈	—	5	1	no	—
1039	C₂²⋊Q₈	—	5	1	no	—
1040	C₂²⋊Q₈	—	5	1	no	—
1041	C₂²⋊Q₈	—	5	1	no	—
1042	C₂²⋊Q₈	—	5	1	no	—
1043	C₂²⋊Q₈	—	5	1	no	—
1044	C₂²⋊Q₈	—	5	1	no	—
1045	C₂²⋊Q₈	—	5	1	no	—
1046	C₂²⋊Q₈	—	10	1	no	—
1047	C₂²⋊Q₈	—	10	1	no	—
1048	C₂²⋊Q₈	—	10	1	no	—
1049	C₂²⋊Q₈	—	10	1	no	—
1050	C₂²⋊Q₈	—	10	1	no	—
1051	C₂²⋊Q₈	—	10	1	no	—
1052	C₂²⋊Q₈	—	10	1	no	—
1053	C₂²⋊Q₈	—	10	1	no	—
1054	C₂²⋊Q₈	—	10	1	no	—
1055	C₂²⋊Q₈	—	10	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₄×Q₈	—	2	1	no	—
1076	C₄×Q₈	—	5	1	no	—
1077	C₄×Q₈	—	5	1	no	—
1078	C₄×Q₈	—	5	1	no	—
1079	C₄×Q₈	—	5	1	no	—
1080	C₄×Q₈	—	5	1	no	—
1081	C₄×Q₈	—	5	1	no	—
1082	C₄×Q₈	—	5	1	no	—
1083	C₄×Q₈	—	5	1	no	—
1084	C₄×Q₈	—	5	1	no	—
1085	C₄×Q₈	—	5	1	no	—
1086	C₄×Q₈	—	5	1	no	—
1087	C₄×Q₈	—	5	1	no	—
1088	C₄×Q₈	—	10	1	no	—
1089	C₄×Q₈	—	10	1	no	—
1090	C₄×Q₈	—	10	1	no	—
1091	C₄×Q₈	—	10	1	no	—
1092	C₄×Q₈	—	10	1	no	—
1093	C₄×Q₈	—	10	1	no	—
1094	C₄×Q₈	—	10	1	no	—
1095	C₄×Q₈	—	10	1	no	—
1096	C₄×Q₈	—	10	1	no	—
1097	C₄×Q₈	—	10	1	no	—
1098	C₄×Q₈	—	10	1	no	—
1099	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1102	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1103	C₄×D₄	—	5	1	no	—
1104	C₄×D₄	—	5	1	no	—
1105	C₄×D₄	—	5	1	no	—
1106	C₄×D₄	—	5	1	no	—
1107	C₄×D₄	—	5	1	no	—
1108	C₄×D₄	—	5	1	no	—
1109	C₄×D₄	—	5	1	no	—
1110	C₄×D₄	—	5	1	no	—
1111	C₄×D₄	—	5	1	no	—
1112	C₄×D₄	—	10	1	no	—
1113	C₄×D₄	—	10	1	no	—
1114	C₄×D₄	—	10	1	no	—
1115	C₄×D₄	—	10	1	no	—
1116	C₄×D₄	—	10	1	no	—
1117	C₄×D₄	—	10	1	no	—
1118	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1119	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1120	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1121	#117	—	5	1	no	—
1122	#117	—	5	1	no	—
1123	#117	—	5	1	no	—
1124	#117	—	5	1	no	—
1125	#117	—	10	1	no	—
1126	#117	—	10	1	no	—
1127	C₂×C₄⋊C₄	—	2	1	no	—
1128	C₂×C₄⋊C₄	—	5	1	no	—
1129	C₂×C₄⋊C₄	—	10	1	no	—
1130	C₂×C₄⋊C₄	—	10	1	no	—
1131	C₂×C₄⋊C₄	—	10	1	no	—
1132	C₂×C₄⋊C₄	—	10	1	no	—
1133	C₂×C₄⋊C₄	—	10	1	no	—
1134	C₂×C₂²⋊C₄	—	10	1	no	—
1135	C₂×C₂²⋊C₄	—	10	1	no	—
1136	C₂×C₂²⋊C₄	—	10	1	no	—
1137	C₂×C₂²⋊C₄	—	10	1	no	—
1138	C₂×C₂²⋊C₄	—	10	1	no	—
1139	C₂×C₄²	—	5	1	no	—
1140	#107	—	5	1	no	—
1141	#107	—	5	1	no	—
1142	#107	—	5	1	no	—
1143	#107	—	5	1	no	—
1144	#107	—	5	1	no	—
1145	#107	—	5	1	no	—
1146	#107	—	5	1	no	—
1147	#107	—	5	1	no	—
1148	#107	—	5	1	no	—
1149	#107	—	5	1	no	—
1150	#107	C₂²×D₅	1	1	yes	characteristic
1151	#107	C₂²×D₅	1	1	yes	characteristic
1152	#106	—	5	1	no	—
1153	#106	—	5	1	no	—
1154	#106	—	5	1	no	—
1155	#106	—	5	1	no	—
1156	#106	—	5	1	no	—
1157	#106	—	5	1	no	—
1158	#106	—	5	1	no	—
1159	#106	—	5	1	no	—
1160	#106	—	5	1	no	—
1161	#106	—	5	1	no	—
1162	#106	—	5	1	no	—
1163	#106	C₂²×D₅	1	1	yes	characteristic
1164	C₄⋊C₈	—	5	1	no	—
1165	C₄⋊C₈	—	5	1	no	—
1166	C₄⋊C₈	—	5	1	no	—
1167	C₄⋊C₈	—	5	1	no	—
1168	C₄⋊C₈	—	5	1	no	—
1169	C₄⋊C₈	—	5	1	no	—
1170	C₄⋊C₈	—	5	1	no	—
1171	C₄⋊C₈	—	5	1	no	—
1172	C₄⋊C₈	—	5	1	no	—
1173	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1174	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1175	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1176	#103	—	5	1	no	—
1177	#103	—	5	1	no	—
1178	#103	—	5	1	no	—
1179	#103	—	5	1	no	—
1180	#103	—	5	1	no	—
1181	#103	—	5	1	no	—
1182	#103	—	5	1	no	—
1183	#103	—	5	1	no	—
1184	#103	—	5	1	no	—
1185	#103	—	5	1	no	—
1186	#103	—	5	1	no	—
1187	#103	—	5	1	no	—
1188	#103	—	5	1	no	—
1189	#103	—	5	1	no	—
1190	#103	—	5	1	no	—
1191	#103	C₂²×D₅	1	1	yes	characteristic
1192	#103	C₂²×D₅	1	1	yes	characteristic
1193	#103	C₂²×D₅	1	1	yes	characteristic
1194	#103	C₂²×D₅	1	1	yes	characteristic
1195	#103	C₂²×D₅	1	1	yes	characteristic
1196	#103	C₂²×D₅	1	1	yes	characteristic
1197	#103	C₂²×D₅	1	1	yes	characteristic
1198	#103	C₂²×D₅	1	1	yes	characteristic
1199	#103	C₂²×D₅	1	1	yes	characteristic
1200	#102	—	5	1	no	—
1201	#102	—	5	1	no	—
1202	#102	—	5	1	no	—
1203	#102	—	5	1	no	—
1204	#102	—	5	1	no	—
1205	#102	—	5	1	no	—
1206	#102	—	5	1	no	—
1207	#102	C₂²×D₅	1	1	yes	characteristic
1208	C₂²⋊C₈	—	5	1	no	—
1209	C₂²⋊C₈	—	5	1	no	—
1210	C₂²⋊C₈	—	5	1	no	—
1211	C₂²⋊C₈	—	5	1	no	—
1212	#97	—	5	1	no	—
1213	#97	—	5	1	no	—
1214	#97	—	5	1	no	—
1215	#97	—	5	1	no	—
1216	#97	C₂²×D₅	1	1	yes	characteristic
1217	#97	C₂²×D₅	1	1	yes	characteristic
1218	C₄×C₈	—	5	1	no	—
1219	C₄×C₈	—	5	1	no	—
1220	C₄×C₈	—	5	1	no	—
1221	C₄×C₈	—	5	1	no	—
1222	C₄×C₈	—	5	1	no	—
1223	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1224	C₂²×C₅	—	2	2	no	—
1225	C₂²×C₅	—	4	1	no	—
1226	C₂²×C₅	—	4	1	no	—
1227	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1228	C₂×D₅	—	2	1	no	—
1229	C₂×D₅	—	2	1	no	—
1230	C₂×D₅	—	2	2	no	—
1231	C₂×D₅	—	2	1	no	—
1232	C₂×D₅	—	4	1	no	—
1233	C₂×D₅	—	4	1	no	—
1234	C₂×D₅	—	8	4	no	—
1235	C₄×C₅	—	2	1	no	—
1236	C₄×C₅	—	2	1	no	—
1237	C₄×C₅	—	2	1	no	—
1238	C₄×C₅	—	2	1	no	—
1239	C₄×C₅	—	2	1	no	—
1240	C₄×C₅	—	2	1	no	—
1241	C₄×C₅	—	4	1	no	—
1242	C₄×C₅	—	4	1	no	—
1243	C₄×C₅	—	4	1	no	—
1244	C₄×C₅	—	4	1	no	—
1245	C₄×C₅	—	4	1	no	—
1246	C₄×C₅	—	4	1	no	—
1247	C₄×C₅	—	4	1	no	—
1248	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1249	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1250	Dic₅	—	2	1	no	—
1251	Dic₅	—	2	1	no	—
1252	Dic₅	—	2	1	no	—
1253	Dic₅	—	2	1	no	—
1254	Dic₅	—	2	1	no	—
1255	Dic₅	—	2	1	no	—
1256	Dic₅	—	4	1	no	—
1257	Dic₅	—	4	1	no	—
1258	Dic₅	—	4	1	no	—
1259	Dic₅	—	4	1	no	—
1260	Dic₅	—	4	1	no	—
1261	Dic₅	—	4	1	no	—
1262	Dic₅	—	4	1	no	—
1263	Dic₅	#577	1	2	yes	—
1264	C₂⁴	—	10	1	no	—
1265	C₂×Q₈	—	2	1	no	—
1266	C₂×Q₈	—	5	1	no	—
1267	C₂×Q₈	—	5	1	no	—
1268	C₂×Q₈	—	5	1	no	—
1269	C₂×Q₈	—	5	1	no	—
1270	C₂×Q₈	—	10	1	no	—
1271	C₂×Q₈	—	10	1	no	—
1272	C₂×Q₈	—	10	1	no	—
1273	C₂×Q₈	—	10	1	no	—
1274	C₂×Q₈	—	10	1	no	—
1275	C₂×Q₈	—	10	1	no	—
1276	C₂×Q₈	—	10	1	no	—
1277	C₂×Q₈	—	40	2	no	—
1278	C₂×Q₈	—	40	2	no	—
1279	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1280	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1281	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1282	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1283	C₂×D₄	—	5	1	no	—
1284	C₂×D₄	—	10	1	no	—
1285	C₂×D₄	—	10	2	no	—
1286	C₂×D₄	—	10	2	no	—
1287	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1288	C₂²×C₄	—	2	1	no	—
1289	C₂²×C₄	—	2	1	no	—
1290	C₂²×C₄	—	2	1	no	—
1291	C₂²×C₄	—	5	1	no	—
1292	C₂²×C₄	—	5	1	no	—
1293	C₂²×C₄	—	5	1	no	—
1294	C₂²×C₄	—	10	1	no	—
1295	C₂²×C₄	—	10	1	no	—
1296	C₂²×C₄	—	10	1	no	—
1297	C₂²×C₄	—	10	1	no	—
1298	C₂²×C₄	—	10	1	no	—
1299	C₂²×C₄	—	10	1	no	—
1300	C₂²×C₄	—	10	1	no	—
1301	C₂²×C₄	—	10	1	no	—
1302	C₂²×C₄	—	10	1	no	—
1303	C₂²×C₄	—	10	1	no	—
1304	C₂²×C₄	—	40	2	no	—
1305	SD₁₆	—	2	2	no	—
1306	SD₁₆	—	2	2	no	—
1307	SD₁₆	—	2	2	no	—
1308	SD₁₆	—	10	2	no	—
1309	SD₁₆	—	10	2	no	—
1310	SD₁₆	—	10	2	no	—
1311	SD₁₆	—	10	2	no	—
1312	SD₁₆	—	10	2	no	—
1313	C₂×C₈	—	5	1	no	—
1314	C₂×C₈	—	5	1	no	—
1315	C₂×C₈	—	5	1	no	—
1316	C₂×C₈	—	5	1	no	—
1317	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1318	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1319	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1320	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1321	C₄⋊C₄	—	2	1	no	—
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	2	1	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	1	no	—
1330	C₄⋊C₄	—	2	1	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	5	1	no	—
1336	C₄⋊C₄	—	5	1	no	—
1337	C₄⋊C₄	—	5	1	no	—
1338	C₄⋊C₄	—	5	1	no	—
1339	C₄⋊C₄	—	5	1	no	—
1340	C₄⋊C₄	—	5	1	no	—
1341	C₄⋊C₄	—	5	1	no	—
1342	C₄⋊C₄	—	5	1	no	—
1343	C₄⋊C₄	—	5	1	no	—
1344	C₄⋊C₄	—	5	1	no	—
1345	C₄⋊C₄	—	5	1	no	—
1346	C₄⋊C₄	—	5	1	no	—
1347	C₄⋊C₄	—	5	1	no	—
1348	C₄⋊C₄	—	5	1	no	—
1349	C₄⋊C₄	—	5	1	no	—
1350	C₄⋊C₄	—	5	1	no	—
1351	C₄⋊C₄	—	5	1	no	—
1352	C₄⋊C₄	—	5	1	no	—
1353	C₄⋊C₄	—	5	1	no	—
1354	C₄⋊C₄	—	10	1	no	—
1355	C₄⋊C₄	—	10	1	no	—
1356	C₄⋊C₄	—	10	1	no	—
1357	C₄⋊C₄	—	10	1	no	—
1358	C₄⋊C₄	—	10	1	no	—
1359	C₄⋊C₄	—	10	1	no	—
1360	C₄⋊C₄	—	10	1	no	—
1361	C₄⋊C₄	—	10	1	no	—
1362	C₄⋊C₄	—	10	1	no	—
1363	C₄⋊C₄	—	10	1	no	—
1364	C₄⋊C₄	—	10	1	no	—
1365	C₄⋊C₄	—	10	1	no	—
1366	C₄⋊C₄	—	10	1	no	—
1367	C₄⋊C₄	—	10	1	no	—
1368	C₄⋊C₄	—	10	1	no	—
1369	C₄⋊C₄	—	10	1	no	—
1370	C₄⋊C₄	—	10	1	no	—
1371	C₄⋊C₄	—	10	1	no	—
1372	C₄⋊C₄	—	10	1	no	—
1373	C₄⋊C₄	—	10	1	no	—
1374	C₄⋊C₄	—	10	1	no	—
1375	C₄⋊C₄	—	10	1	no	—
1376	C₄⋊C₄	—	10	1	no	—
1377	C₄⋊C₄	—	10	1	no	—
1378	C₄⋊C₄	—	10	1	no	—
1379	C₄⋊C₄	—	10	1	no	—
1380	C₄⋊C₄	—	10	1	no	—
1381	C₄⋊C₄	—	10	1	no	—
1382	C₄⋊C₄	—	10	1	no	—
1383	C₄⋊C₄	—	10	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1398	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1399	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1400	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1401	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1402	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1403	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	5	1	no	—
1408	C₂²⋊C₄	—	5	1	no	—
1409	C₂²⋊C₄	—	5	1	no	—
1410	C₂²⋊C₄	—	5	1	no	—
1411	C₂²⋊C₄	—	10	1	no	—
1412	C₂²⋊C₄	—	10	1	no	—
1413	C₂²⋊C₄	—	10	1	no	—
1414	C₂²⋊C₄	—	10	1	no	—
1415	C₂²⋊C₄	—	10	1	no	—
1416	C₂²⋊C₄	—	10	1	no	—
1417	C₂²⋊C₄	—	10	1	no	—
1418	C₂²⋊C₄	—	10	1	no	—
1419	C₂²⋊C₄	—	10	1	no	—
1420	C₂²⋊C₄	—	10	1	no	—
1421	C₂²⋊C₄	—	10	1	no	—
1422	C₂²⋊C₄	—	10	1	no	—
1423	C₂²⋊C₄	—	10	1	no	—
1424	C₂²⋊C₄	—	10	1	no	—
1425	C₂²⋊C₄	—	10	1	no	—
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	5	1	no	—
1430	C₄²	—	5	1	no	—
1431	C₄²	—	5	1	no	—
1432	C₄²	—	5	1	no	—
1433	C₄²	—	5	1	no	—
1434	C₄²	—	10	1	no	—
1435	C₄²	—	10	1	no	—
1436	C₄²	—	10	1	no	—
1437	C₄²	—	10	1	no	—
1438	C₄²	—	10	1	no	—
1439	C₄²	—	10	1	no	—
1440	C₄²	—	10	1	no	—
1441	C₄²	—	10	1	no	—
1442	C₄²	—	10	1	no	—
1443	C₄²	—	10	1	no	—
1444	C₄²	—	10	1	no	—
1445	C₄²	C₂³×D₅	1	1	yes	characteristic
1446	C₄²	C₂³×D₅	1	1	yes	characteristic
1447	C₄²	C₂³×D₅	1	1	yes	characteristic
1448	C₂×C₅	—	4	2	no	—
1449	C₂×C₅	#3486	1	1	yes	characteristic
1450	C₂×C₅	C₂×#577	1	1	yes	characteristic
1451	C₂×C₅	#3586	1	1	yes	characteristic
1452	D₅	—	4	1	no	—
1453	D₅	—	4	2	no	—
1454	C₂³	—	2	1	no	—
1455	C₂³	—	5	1	no	—
1456	C₂³	—	10	4	no	—
1457	C₂³	—	10	1	no	—
1458	C₂³	—	40	1	no	—
1459	C₂³	—	40	1	no	—
1460	Q₈	—	2	1	no	—
1461	Q₈	—	2	1	no	—
1462	Q₈	—	2	1	no	—
1463	Q₈	—	2	1	no	—
1464	Q₈	—	2	1	no	—
1465	Q₈	—	2	1	no	—
1466	Q₈	—	4	1	no	—
1467	Q₈	—	8	1	no	—
1468	Q₈	—	10	2	no	—
1469	Q₈	—	10	2	no	—
1470	Q₈	—	10	1	no	—
1471	Q₈	—	10	1	no	—
1472	Q₈	—	20	1	no	—
1473	Q₈	—	20	2	no	—
1474	Q₈	—	20	2	no	—
1475	Q₈	—	20	2	no	—
1476	Q₈	—	40	1	no	—
1477	Q₈	—	40	1	no	—
1478	Q₈	—	40	1	no	—
1479	Q₈	—	40	1	no	—
1480	D₄	—	2	1	no	—
1481	D₄	—	5	2	no	—
1482	D₄	—	10	4	no	—
1483	D₄	—	10	1	no	—
1484	D₄	#4150	1	2	yes	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	5	1	no	—
1493	C₂×C₄	—	5	1	no	—
1494	C₂×C₄	—	5	1	no	—
1495	C₂×C₄	—	5	1	no	—
1496	C₂×C₄	—	5	1	no	—
1497	C₂×C₄	—	5	1	no	—
1498	C₂×C₄	—	5	1	no	—
1499	C₂×C₄	—	8	1	no	—
1500	C₂×C₄	—	8	1	no	—
1501	C₂×C₄	—	8	1	no	—
1502	C₂×C₄	—	10	2	no	—
1503	C₂×C₄	—	10	1	no	—
1504	C₂×C₄	—	10	1	no	—
1505	C₂×C₄	—	10	1	no	—
1506	C₂×C₄	—	10	1	no	—
1507	C₂×C₄	—	10	1	no	—
1508	C₂×C₄	—	10	1	no	—
1509	C₂×C₄	—	10	1	no	—
1510	C₂×C₄	—	10	1	no	—
1511	C₂×C₄	—	10	1	no	—
1512	C₂×C₄	—	20	1	no	—
1513	C₂×C₄	—	20	2	no	—
1514	C₂×C₄	—	20	2	no	—
1515	C₂×C₄	—	40	1	no	—
1516	C₂×C₄	—	40	1	no	—
1517	C₂×C₄	—	40	1	no	—
1518	C₂×C₄	—	40	1	no	—
1519	C₂×C₄	—	40	1	no	—
1520	C₂×C₄	—	40	1	no	—
1521	C₂×C₄	—	40	1	no	—
1522	C₂×C₄	—	40	1	no	—
1523	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1524	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1525	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1526	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1527	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1528	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1529	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1530	C₈	—	2	1	no	—
1531	C₈	—	2	1	no	—
1532	C₈	—	2	1	no	—
1533	C₈	—	2	1	no	—
1534	C₈	—	10	1	no	—
1535	C₈	—	10	1	no	—
1536	C₈	—	10	1	no	—
1537	C₈	—	10	1	no	—
1538	C₅	#61848	1	1	yes	characteristic, complemented, Sylow
1539	C₂²	—	2	2	no	—
1540	C₂²	—	4	1	no	—
1541	C₂²	—	4	1	no	—
1542	C₂²	—	10	1	no	—
1543	C₂²	—	10	2	no	—
1544	C₂²	—	10	1	no	—
1545	C₂²	—	10	1	no	—
1546	C₂²	—	20	1	no	—
1547	C₂²	—	20	1	no	—
1548	C₂²	—	40	4	no	—
1549	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1550	C₄	—	2	1	no	—
1551	C₄	—	2	1	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	5	2	no	—
1564	C₄	—	10	1	no	—
1565	C₄	—	10	1	no	—
1566	C₄	—	10	1	no	—
1567	C₄	—	10	1	no	—
1568	C₄	—	10	1	no	—
1569	C₄	—	10	1	no	—
1570	C₄	—	20	1	no	—
1571	C₄	—	20	1	no	—
1572	C₄	—	20	1	no	—
1573	C₄	—	20	1	no	—
1574	C₄	—	20	1	no	—
1575	C₄	—	20	1	no	—
1576	C₄	—	20	1	no	—
1577	C₄	C₂×#4150	1	1	yes	characteristic
1578	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1579	C₂	—	4	2	no	—
1580	C₂	—	20	1	no	—
1581	C₂	—	20	2	no	—
1582	C₂	#10618636	1	1	yes	characteristic
1583	C₂	#10619098	1	1	yes	characteristic
1584	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3372	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	C₂×D₄×D₅	C₂³
hypercenter	#3372	D₅
hypocenter	C₅	#61848
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3372

Complements

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

N	H ≅ G/N	type
1. #10618928	C₂	semidirect
3. C₅×#3372	C₂	semidirect
4. #10615423	C₂	semidirect
5. #10615363	C₂	semidirect
6. #10613478	C₂	semidirect
7. #10613477	C₂	semidirect
8. #10613463	C₂	semidirect
9. #10613463	C₂	semidirect
10. #10613351	C₂	semidirect
11. #10613342	C₂	semidirect
12. #10612971	C₂	semidirect
13. #10612967	C₂	semidirect
14. #10612956	C₂	semidirect
15. #10612952	C₂	semidirect
16. #10612847	C₂	semidirect
17. #10612834	C₂	semidirect
18. #10612149	C₂	semidirect
19. #10612149	C₂	semidirect
20. #10612145	C₂	semidirect
24. #10611709	C₂	semidirect
25. #10611697	C₂	semidirect
28. #10611492	C₂	semidirect
29. #10611491	C₂	semidirect
31. #10611364	C₂	semidirect
32. C₅×#557	C₂²	semidirect
39. #66055	C₂²	semidirect
40. #66055	C₂²	semidirect
41. #66055	C₂²	semidirect
64. #65904	C₂²	semidirect
65. #65903	C₂²	semidirect
66. #65903	C₂²	semidirect
68. #65901	C₂²	semidirect
77. C₅×#491	C₂²	semidirect
78. C₅×#491	C₂²	semidirect
79. C₅×#487	C₂²	semidirect
80. C₅×#479	C₂²	semidirect
81. C₅×#479	C₂²	semidirect
82. C₅×#477	C₂²	semidirect
86. C₅×#446	C₂²	semidirect
102. #65383	C₂²	semidirect
106. #65371	C₂²	semidirect
107. #65371	C₂²	semidirect
108. #65370	C₂²	semidirect
109. #65369	C₂²	semidirect
110. #65354	C₂²	semidirect
111. #65353	C₂²	semidirect
112. #65352	C₂²	semidirect
113. #65352	C₂²	semidirect
117. #65313	C₂²	semidirect
118. #65311	C₂²	semidirect
119. #65311	C₂²	semidirect
120. #65310	C₂²	semidirect
131. #65167	C₂²	semidirect
132. #65165	C₂²	semidirect
133. #65165	C₂²	semidirect
134. #65163	C₂²	semidirect
137. #65147	C₂²	semidirect
138. #65144	C₂²	semidirect
139. #65140	C₂²	semidirect
146. #65119	C₂²	semidirect
147. #65118	C₂²	semidirect
148. #65118	C₂²	semidirect
149. #65117	C₂²	semidirect
150. #65117	C₂²	semidirect
165. #65088	C₂²	semidirect
166. #65088	C₂²	semidirect
167. #65086	C₂²	semidirect
168. #65086	C₂²	semidirect
169. #65085	C₂²	semidirect
170. #65085	C₂²	semidirect
171. #65083	C₂²	semidirect
172. #65083	C₂²	semidirect
173. #65083	C₂²	semidirect
174. #65083	C₂²	semidirect
175. #65081	C₂²	semidirect
176. #65081	C₂²	semidirect
177. #65081	C₂²	semidirect
178. #65081	C₂²	semidirect
179. #65080	C₂²	semidirect
180. #65080	C₂²	semidirect
181. #65080	C₂²	semidirect
182. #65080	C₂²	semidirect
195. #64991	C₂²	semidirect
196. #64991	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
201. #64972	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
494. #3372	D₅	semidirect
705. #557	C₂×D₅	semidirect
755. #491	C₂×D₅	semidirect
756. #491	C₂×D₅	semidirect
762. #487	C₂×D₅	semidirect
785. #479	C₂×D₅	semidirect
786. #479	C₂×D₅	semidirect
800. #477	C₂×D₅	semidirect
832. #446	C₂×D₅	semidirect
1538. C₅	#61848	semidirect

Maximal subgroups

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

subgroup	index
#10618928	2
#10618850	2
C₅×#3372	2
#10615423	2
#10615363	2
#10613478	2
#10613477	2
#10613463	2
#10613351	2
#10613342	2
#10612971	2
#10612967	2
#10612956	2
#10612952	2
#10612847	2
#10612834	2
#10612149	2
#10612145	2
#10612144	2
#10612139	2
#10611709	2
#10611697	2
#10611518	2
#10611510	2
#10611492	2
#10611491	2
#10611390	2
#10611364	2
#61848	5