Subgroups — #12979945

Order 1280.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1598 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618933	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618850	C₂	1	1	yes	maximal, characteristic
3	C₅×#3381	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615426	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615363	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613648	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613647	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613644	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613644	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613634	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613623	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612997	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612963	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612961	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612954	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612900	C₂	1	1	yes	maximal, characteristic
17	#10612897	C₂	1	1	yes	maximal, characteristic
18	#10612891	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612890	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612841	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612834	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612698	C₂	1	1	yes	maximal, characteristic
23	#10612691	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611662	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611648	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611380	C₂	1	1	yes	maximal, characteristic
27	#10611380	C₂	1	1	yes	maximal, characteristic
28	C₄×D₅×SD₁₆	C₂	1	1	yes	maximal, characteristic
29	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
31	SD₁₆×Dic₁₀	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	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
35	#66063	—	2	1	no	—
36	#66063	C₂²	1	1	yes	characteristic
37	#66063	C₂²	1	1	yes	characteristic
38	#66061	C₂²	1	1	yes	characteristic
39	#66056	—	2	1	no	—
40	#66056	C₂²	1	1	yes	characteristic, complemented
41	#66024	C₂²	1	1	yes	characteristic
42	#66024	C₂²	1	1	yes	characteristic
43	#66023	—	2	1	no	—
44	#66023	C₂²	1	1	yes	characteristic
45	#66023	C₂²	1	1	yes	characteristic
46	#66022	—	2	1	no	—
47	#66022	C₂²	1	1	yes	characteristic
48	#66022	C₂²	1	1	yes	characteristic
49	#66019	—	2	1	no	—
50	#66019	—	2	1	no	—
51	#66019	C₂²	1	1	yes	characteristic, complemented
52	#66019	C₂²	1	1	yes	characteristic, complemented
53	#65970	—	2	1	no	—
54	#65970	—	2	1	no	—
55	#65968	—	2	1	no	—
56	#65968	—	2	1	no	—
57	#65966	—	2	1	no	—
58	D₅×C₂²⋊Q₈	—	2	1	no	—
59	#65913	C₂²	1	1	yes	characteristic
60	#65912	—	2	1	no	—
61	#65912	C₂²	1	1	yes	characteristic
62	#65906	C₂²	1	1	yes	characteristic
63	#65906	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
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	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
70	#65879	C₂²	1	1	yes	characteristic
71	#65879	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65873	C₂²	1	1	yes	characteristic
74	#65873	C₂²	1	1	yes	characteristic
75	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
76	#65845	—	2	1	no	—
77	C₂×#4042	—	2	1	no	—
78	C₅×#499	C₂²	1	1	yes	characteristic, complemented
79	C₅×#499	C₂²	1	1	yes	characteristic, complemented
80	C₅×#498	C₂²	1	1	yes	characteristic, complemented
81	C₅×#479	C₂²	1	1	yes	characteristic, complemented
82	C₅×#479	C₂²	1	1	yes	characteristic, complemented
83	C₅×#478	C₂²	1	1	yes	characteristic
84	C₅×#478	C₂²	1	1	yes	characteristic
85	C₅×#477	C₂²	1	1	yes	characteristic, complemented
86	C₅×#474	C₂²	1	1	yes	characteristic
87	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
90	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
91	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
92	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
93	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
94	#65383	C₂²	1	1	yes	characteristic, complemented
95	#65373	C₂²	1	1	yes	characteristic
96	#65369	C₂²	1	1	yes	characteristic, complemented
97	#65369	C₂²	1	1	yes	characteristic, complemented
98	#65355	C₂²	1	1	yes	characteristic
99	#65355	C₂²	1	1	yes	characteristic
100	#65354	C₂²	1	1	yes	characteristic, complemented
101	#65354	C₂²	1	1	yes	characteristic, complemented
102	#65353	C₂²	1	1	yes	characteristic, complemented
103	#65353	C₂²	1	1	yes	characteristic, complemented
104	#65352	C₂²	1	1	yes	characteristic, complemented
105	#65352	C₂²	1	1	yes	characteristic, complemented
106	#65315	C₂²	1	1	yes	characteristic
107	#65315	C₂²	1	1	yes	characteristic
108	C₄×#688	C₂²	1	1	yes	characteristic
109	#65313	C₂²	1	1	yes	characteristic, complemented
110	#65311	C₂²	1	1	yes	characteristic, complemented
111	#65311	C₂²	1	1	yes	characteristic, complemented
112	#65309	C₂²	1	1	yes	characteristic, complemented
113	#65307	C₂²	1	1	yes	characteristic
114	#65307	C₂²	1	1	yes	characteristic
115	C₄×#687	C₂²	1	1	yes	characteristic
116	#65298	C₂²	1	1	yes	characteristic
117	#65298	C₂²	1	1	yes	characteristic
118	#65297	C₂²	1	1	yes	characteristic
119	#65180	C₂²	1	1	yes	characteristic
120	#65180	C₂²	1	1	yes	characteristic
121	#65179	C₂²	1	1	yes	characteristic
122	#65179	C₂²	1	1	yes	characteristic
123	#65170	C₂²	1	1	yes	characteristic
124	#65170	C₂²	1	1	yes	characteristic
125	#65169	C₂²	1	1	yes	characteristic
126	#65169	C₂²	1	1	yes	characteristic
127	#65166	C₂²	1	1	yes	characteristic, complemented
128	#65166	C₂²	1	1	yes	characteristic, complemented
129	#65165	C₂²	1	1	yes	characteristic, complemented
130	#65165	C₂²	1	1	yes	characteristic, complemented
131	#65164	C₂²	1	1	yes	characteristic, complemented
132	#65164	C₂²	1	1	yes	characteristic, complemented
133	#65163	C₂²	1	1	yes	characteristic, complemented
134	#65163	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic
136	#65159	C₂²	1	1	yes	characteristic
137	#65150	C₂²	1	1	yes	characteristic
138	#65150	C₂²	1	1	yes	characteristic
139	#65149	C₂²	1	1	yes	characteristic
140	#65149	C₂²	1	1	yes	characteristic
141	D₅×#106	C₂²	1	1	yes	characteristic
142	#65147	C₂²	1	1	yes	characteristic, complemented
143	#65147	C₂²	1	1	yes	characteristic, complemented
144	#65145	C₂²	1	1	yes	characteristic, complemented
145	#65145	C₂²	1	1	yes	characteristic, complemented
146	#65144	C₂²	1	1	yes	characteristic, complemented
147	#65144	C₂²	1	1	yes	characteristic, complemented
148	#65144	C₂²	1	1	yes	characteristic, complemented
149	#65144	C₂²	1	1	yes	characteristic, complemented
150	#65143	C₂²	1	1	yes	characteristic, complemented
151	#65143	C₂²	1	1	yes	characteristic, complemented
152	#65141	C₂²	1	1	yes	characteristic
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65139	C₂²	1	1	yes	characteristic, complemented
156	#65136	C₂²	1	1	yes	characteristic
157	#65136	C₂²	1	1	yes	characteristic
158	#65135	C₂²	1	1	yes	characteristic
159	#65128	C₂²	1	1	yes	characteristic
160	#65128	C₂²	1	1	yes	characteristic
161	#65126	C₂²	1	1	yes	characteristic
162	#65120	C₂²	1	1	yes	characteristic, complemented
163	#65118	C₂²	1	1	yes	characteristic, complemented
164	#65118	C₂²	1	1	yes	characteristic, complemented
165	#65117	C₂²	1	1	yes	characteristic, complemented
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65106	C₂²	1	1	yes	characteristic
168	#65106	C₂²	1	1	yes	characteristic
169	#65091	C₂²	1	1	yes	characteristic
170	#65091	C₂²	1	1	yes	characteristic
171	D₅×#103	C₂²	1	1	yes	characteristic
172	#65085	C₂²	1	1	yes	characteristic, complemented
173	#65085	C₂²	1	1	yes	characteristic, complemented
174	#65083	C₂²	1	1	yes	characteristic, complemented
175	#65083	C₂²	1	1	yes	characteristic, complemented
176	#65080	C₂²	1	1	yes	characteristic, complemented
177	#65080	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic
179	#65059	C₂²	1	1	yes	characteristic
180	#65059	C₂²	1	1	yes	characteristic
181	D₅×#102	C₂²	1	1	yes	characteristic
182	#65055	C₂²	1	1	yes	characteristic
183	#65055	C₂²	1	1	yes	characteristic
184	#65050	C₂²	1	1	yes	characteristic
185	#65050	C₂²	1	1	yes	characteristic
186	#65048	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65047	C₂²	1	1	yes	characteristic
189	#65046	C₂²	1	1	yes	characteristic
190	#65046	C₂²	1	1	yes	characteristic
191	C₄×#677	C₂²	1	1	yes	characteristic
192	C₄×#677	C₂²	1	1	yes	characteristic
193	C₄×#677	C₂²	1	1	yes	characteristic
194	#64978	C₂²	1	1	yes	characteristic
195	#64978	C₂²	1	1	yes	characteristic
196	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
197	#64972	C₂²	1	1	yes	characteristic, complemented
198	#64972	C₂²	1	1	yes	characteristic, complemented
199	#64969	C₂²	1	1	yes	characteristic, complemented
200	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
201	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61371	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	—	2	1	no	—
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	—	2	1	no	—
208	C₂²×Dic₁₀	—	2	1	no	—
209	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
210	C₅×C₄⋊Q₈	—	2	1	no	—
211	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₅×#125	—	2	1	no	—
214	C₅×#125	—	2	1	no	—
215	C₅×#125	C₂³	1	1	yes	characteristic
216	C₅×#125	C₂³	1	1	yes	characteristic
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×C₂²⋊Q₈	—	2	1	no	—
220	C₅×C₂²⋊Q₈	—	2	1	no	—
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₄×C₅×Q₈	—	2	1	no	—
223	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
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×D₄	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₄⋊C₄	—	2	1	no	—
231	#4092	—	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	Q₈×Dic₅	C₂³	1	1	yes	characteristic
237	Q₈×Dic₅	C₂³	1	1	yes	characteristic
238	Q₈×Dic₅	C₂³	1	1	yes	characteristic
239	#4090	—	2	1	no	—
240	#4090	—	2	1	no	—
241	#4090	—	2	1	no	—
242	#4090	—	2	1	no	—
243	#4090	—	2	1	no	—
244	#4090	D₄	1	1	yes	characteristic
245	C₂×#688	C₂³	1	1	yes	characteristic
246	D₄×Dic₅	C₂³	1	1	yes	characteristic
247	D₄×Dic₅	C₂³	1	1	yes	characteristic
248	D₄×Dic₅	C₂³	1	1	yes	characteristic
249	C₂×#687	C₂³	1	1	yes	characteristic
250	C₄×C₂²⋊D₅	—	2	1	no	—
251	C₄×C₂²⋊D₅	—	2	1	no	—
252	C₄×C₂²⋊D₅	—	2	1	no	—
253	C₂×#685	—	2	1	no	—
254	C₂×#685	—	2	1	no	—
255	#4070	—	2	1	no	—
256	#4070	—	2	1	no	—
257	#4070	—	2	1	no	—
258	C₂×#683	—	2	1	no	—
259	C₂×#683	—	2	1	no	—
260	D₅×SD₁₆	Q₈	1	8	yes	complemented
261	C₂×#677	C₂³	1	1	yes	characteristic
262	C₂×#676	C₂³	1	1	yes	characteristic
263	C₂×#676	C₂³	1	1	yes	characteristic
264	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
265	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
266	#4043	—	2	1	no	—
267	#4043	—	2	1	no	—
268	#4043	—	2	1	no	—
269	#4043	—	2	1	no	—
270	#4043	D₄	1	1	yes	characteristic
271	#4042	—	2	1	no	—
272	#4042	—	2	1	no	—
273	#4042	—	2	1	no	—
274	#4042	—	2	1	no	—
275	#4042	—	2	1	no	—
276	#4042	—	2	1	no	—
277	#4042	—	2	1	no	—
278	#4042	—	2	1	no	—
279	#4042	—	2	1	no	—
280	#4042	—	2	1	no	—
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	D₄	1	1	yes	characteristic
288	#4042	D₄	1	1	yes	characteristic
289	#4039	C₂³	1	1	yes	characteristic
290	#4039	C₂³	1	1	yes	characteristic
291	#4039	C₂³	1	1	yes	characteristic
292	#4038	—	2	1	no	—
293	#4038	—	2	1	no	—
294	#4038	C₂³	1	1	yes	characteristic
295	#4038	C₂³	1	1	yes	characteristic
296	#4038	C₂³	1	1	yes	characteristic
297	#4038	C₂³	1	1	yes	characteristic
298	D₅×C₄⋊C₄	—	2	1	no	—
299	D₅×C₄⋊C₄	—	2	1	no	—
300	D₅×C₄⋊C₄	—	2	1	no	—
301	D₅×C₄⋊C₄	—	2	1	no	—
302	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	#4036	—	2	1	no	—
305	#4036	—	2	1	no	—
306	#4036	C₂³	1	1	yes	characteristic
307	#4036	C₂³	1	1	yes	characteristic
308	#4036	C₂³	1	1	yes	characteristic
309	#4036	C₂³	1	1	yes	characteristic
310	#4035	—	2	1	no	—
311	#4035	—	2	1	no	—
312	#4035	—	2	1	no	—
313	#4035	—	2	1	no	—
314	#4035	—	2	1	no	—
315	#4035	—	2	1	no	—
316	#4035	—	2	1	no	—
317	#4035	—	2	1	no	—
318	#4035	—	2	1	no	—
319	#4035	—	2	1	no	—
320	#4035	D₄	1	1	yes	characteristic
321	#4035	D₄	1	1	yes	characteristic
322	#4034	—	2	1	no	—
323	#4034	—	2	1	no	—
324	#4034	—	2	1	no	—
325	#4034	—	2	1	no	—
326	#4034	—	2	1	no	—
327	#4034	—	2	1	no	—
328	#4034	—	2	1	no	—
329	#4034	—	2	1	no	—
330	#4034	—	2	1	no	—
331	#4034	D₄	1	1	yes	characteristic
332	#4034	C₂³	1	1	yes	characteristic
333	#4034	C₂³	1	1	yes	characteristic
334	#4034	C₂³	1	1	yes	characteristic
335	#4034	C₂³	1	1	yes	characteristic
336	#4034	C₂³	1	1	yes	characteristic
337	#4034	C₂³	1	1	yes	characteristic
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4033	C₂³	1	1	yes	characteristic
354	#4027	—	2	1	no	—
355	#4027	—	2	1	no	—
356	#4027	—	2	1	no	—
357	D₅×C₂²⋊C₄	—	2	1	no	—
358	D₅×C₂²⋊C₄	—	2	1	no	—
359	D₅×C₂²⋊C₄	—	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	#4024	—	2	1	no	—
366	C₄×D₂₀	C₂³	1	1	yes	characteristic
367	C₄×D₂₀	C₂³	1	1	yes	characteristic
368	C₄×D₂₀	C₂³	1	1	yes	characteristic
369	#4018	—	2	1	no	—
370	#4018	—	2	1	no	—
371	#4018	C₂³	1	1	yes	characteristic
372	#4018	C₂³	1	1	yes	characteristic
373	C₄²×D₅	—	2	1	no	—
374	C₄²×D₅	C₂³	1	1	yes	characteristic
375	#4016	—	2	1	no	—
376	#4016	—	2	1	no	—
377	#4016	C₂³	1	1	yes	characteristic
378	#4016	C₂³	1	1	yes	characteristic
379	#4016	C₂³	1	1	yes	characteristic
380	#4016	C₂³	1	1	yes	characteristic
381	#4015	—	2	1	no	—
382	#4015	C₂³	1	1	yes	characteristic
383	#4015	C₂³	1	1	yes	characteristic
384	C₄×Dic₁₀	—	2	1	no	—
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	—	2	1	no	—
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	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#107	C₂³	1	1	yes	characteristic
398	C₅×#107	C₂³	1	1	yes	characteristic
399	C₅×#107	C₂³	1	1	yes	characteristic
400	C₅×#106	C₂³	1	1	yes	characteristic
401	C₅×#106	C₂³	1	1	yes	characteristic
402	C₅×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×#106	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₅×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
415	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
416	C₄×C₅×C₈	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	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3953	C₂³	1	1	yes	characteristic
424	#3953	C₂³	1	1	yes	characteristic
425	#3953	C₂³	1	1	yes	characteristic
426	#3950	C₂³	1	1	yes	characteristic
427	#3950	C₂³	1	1	yes	characteristic
428	#3950	C₂³	1	1	yes	characteristic
429	#3950	C₂³	1	1	yes	characteristic
430	#3949	C₂³	1	1	yes	characteristic
431	#3949	C₂³	1	1	yes	characteristic
432	#3949	C₂³	1	1	yes	characteristic
433	#3949	C₂³	1	1	yes	characteristic
434	#3949	C₂³	1	1	yes	characteristic
435	#3948	C₂³	1	1	yes	characteristic
436	#3948	C₂³	1	1	yes	characteristic
437	#3948	C₂³	1	1	yes	characteristic
438	#3947	C₂³	1	1	yes	characteristic
439	#3947	C₂³	1	1	yes	characteristic
440	#3946	C₂³	1	1	yes	characteristic
441	#3946	C₂³	1	1	yes	characteristic
442	#3946	C₂³	1	1	yes	characteristic
443	#3946	C₂³	1	1	yes	characteristic
444	#3946	C₂³	1	1	yes	characteristic
445	#3946	C₂³	1	1	yes	characteristic
446	C₈×Dic₅	C₂³	1	1	yes	characteristic
447	C₈×Dic₅	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	C₈×Dic₅	C₂³	1	1	yes	characteristic
450	#3942	C₂³	1	1	yes	characteristic
451	#3942	C₂³	1	1	yes	characteristic
452	#3942	C₂³	1	1	yes	characteristic
453	#3941	C₂³	1	1	yes	characteristic
454	#3941	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3940	C₂³	1	1	yes	characteristic
457	#3940	C₂³	1	1	yes	characteristic
458	#3940	C₂³	1	1	yes	characteristic
459	#3940	C₂³	1	1	yes	characteristic
460	#3940	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	#3939	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	#3939	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	#3935	C₂³	1	1	yes	characteristic
479	C₄×#168	C₂³	1	1	yes	characteristic
480	#3502	—	5	1	no	—
481	#3501	—	5	1	no	—
482	#3388	—	5	1	no	—
483	#3388	—	5	1	no	—
484	#3388	—	5	1	no	—
485	#3388	—	5	1	no	—
486	#3386	—	5	1	no	—
487	#3386	—	5	1	no	—
488	#3385	—	5	1	no	—
489	#3385	—	5	1	no	—
490	#3381	—	5	1	no	—
491	#3381	—	5	1	no	—
492	#3381	—	5	1	no	—
493	#3381	—	5	1	no	—
494	#3381	—	5	1	no	—
495	#3381	D₅	1	1	yes	characteristic, complemented
496	Q₈×SD₁₆	—	5	1	no	—
497	Q₈×SD₁₆	—	5	1	no	—
498	#3163	—	5	1	no	—
499	#3163	—	5	1	no	—
500	#3160	—	5	1	no	—
501	#3082	—	5	1	no	—
502	#3082	—	5	1	no	—
503	#3081	—	5	1	no	—
504	#3081	—	5	1	no	—
505	#3078	—	5	1	no	—
506	#3077	—	5	1	no	—
507	#2960	—	5	1	no	—
508	#2949	—	5	1	no	—
509	#2949	—	5	1	no	—
510	C₂×C₄×SD₁₆	—	5	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂×C₅×Q₈	—	2	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	C₂×D₄	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	—	2	2	no	—
525	Q₈×D₅	—	8	2	no	—
526	Q₈×D₅	C₂×Q₈	1	4	yes	complemented
527	D₄×D₅	—	2	2	no	—
528	D₄×D₅	C₂×Q₈	1	4	yes	—
529	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
536	C₂×C₄×D₅	—	2	1	no	—
537	C₂×C₄×D₅	—	2	1	no	—
538	C₂×C₄×D₅	—	2	1	no	—
539	C₂×C₄×D₅	—	8	2	no	—
540	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
541	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
542	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
543	C₂×Dic₁₀	—	2	1	no	—
544	C₂×Dic₁₀	—	2	1	no	—
545	C₂×Dic₁₀	—	2	1	no	—
546	C₂×Dic₁₀	—	2	1	no	—
547	C₂×Dic₁₀	—	2	1	no	—
548	C₂×Dic₁₀	—	2	1	no	—
549	C₂×Dic₁₀	—	2	1	no	—
550	C₂×Dic₁₀	—	2	1	no	—
551	C₂×Dic₁₀	—	2	1	no	—
552	C₂×Dic₁₀	—	2	1	no	—
553	C₂×Dic₁₀	—	2	1	no	—
554	C₂×Dic₁₀	—	8	2	no	—
555	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
556	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
557	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
558	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
559	C₅×SD₁₆	C₂×Q₈	1	4	yes	complemented
560	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
561	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
562	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
563	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
578	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
580	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₂²⋊C₄	—	2	1	no	—
587	C₅×C₂²⋊C₄	—	2	1	no	—
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₄²×C₅	—	2	1	no	—
590	C₄²×C₅	—	2	1	no	—
591	C₄²×C₅	—	2	1	no	—
592	C₄²×C₅	C₂⁴	1	1	yes	characteristic
593	C₄²×C₅	C₂⁴	1	1	yes	characteristic
594	C₄²×C₅	C₂⁴	1	1	yes	characteristic
595	C₂²⋊Dic₅	—	2	1	no	—
596	C₂²⋊Dic₅	—	2	1	no	—
597	C₂²⋊Dic₅	—	2	1	no	—
598	#688	C₂×Q₈	1	4	yes	complemented
599	#687	C₂×Q₈	1	4	yes	complemented
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	—	2	1	no	—
608	#685	—	2	1	no	—
609	#685	—	2	1	no	—
610	#685	C₂×D₄	1	1	yes	characteristic
611	#685	C₂×D₄	1	1	yes	characteristic
612	#685	C₂×D₄	1	1	yes	characteristic
613	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
624	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
625	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
626	C₄⋊Dic₅	C₂⁴	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	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
661	#683	C₂×D₄	1	1	yes	characteristic
662	#683	C₂×D₄	1	1	yes	characteristic
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	C₄×Dic₅	—	2	1	no	—
671	C₄×Dic₅	—	2	1	no	—
672	C₄×Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
686	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
687	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
688	C₂×#168	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	#677	C₂×Q₈	1	4	yes	complemented
693	#676	—	2	2	no	—
694	#676	—	2	2	no	—
695	C₈×D₅	—	2	2	no	—
696	C₈×D₅	C₂×Q₈	1	4	yes	complemented
697	C₂²×SD₁₆	—	5	1	no	—
698	Q₈²	—	5	1	no	—
699	Q₈²	—	5	1	no	—
700	Q₈²	—	10	1	no	—
701	#557	—	5	1	no	—
702	#557	—	5	1	no	—
703	#557	—	5	1	no	—
704	#557	—	5	1	no	—
705	#557	—	5	1	no	—
706	#557	—	10	1	no	—
707	#557	—	10	1	no	—
708	#557	—	10	1	no	—
709	#557	C₂×D₅	1	1	yes	characteristic, complemented
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	—	5	1	no	—
715	#554	—	10	1	no	—
716	#554	—	10	1	no	—
717	#554	—	10	1	no	—
718	#554	C₂×D₅	1	1	yes	characteristic
719	D₄×Q₈	—	5	1	no	—
720	D₄×Q₈	—	5	1	no	—
721	D₄×Q₈	—	10	1	no	—
722	#544	—	5	1	no	—
723	#544	—	5	1	no	—
724	#544	—	5	1	no	—
725	#544	—	5	1	no	—
726	#544	—	10	1	no	—
727	#544	—	10	1	no	—
728	#543	—	10	1	no	—
729	#543	—	10	1	no	—
730	#533	—	5	1	no	—
731	#533	—	5	1	no	—
732	#533	—	5	1	no	—
733	#533	—	10	1	no	—
734	#533	—	10	1	no	—
735	C₂×C₂²⋊Q₈	—	10	1	no	—
736	C₂×C₂²⋊Q₈	—	10	1	no	—
737	#519	—	5	1	no	—
738	#519	—	5	1	no	—
739	#518	—	5	1	no	—
740	#518	—	5	1	no	—
741	C₂×C₄×Q₈	—	5	1	no	—
742	C₂×C₄×D₄	—	5	1	no	—
743	#501	—	5	1	no	—
744	#501	—	5	1	no	—
745	#501	—	5	1	no	—
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#501	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#500	—	5	1	no	—
752	#500	—	5	1	no	—
753	#499	—	5	1	no	—
754	#499	—	5	1	no	—
755	#499	—	5	1	no	—
756	#499	—	5	1	no	—
757	#499	—	5	1	no	—
758	#499	—	5	1	no	—
759	#499	C₂×D₅	1	1	yes	characteristic, complemented
760	#499	C₂×D₅	1	1	yes	characteristic, complemented
761	#498	—	5	1	no	—
762	#498	—	5	1	no	—
763	#498	—	5	1	no	—
764	#498	—	5	1	no	—
765	#498	—	5	1	no	—
766	#498	C₂×D₅	1	1	yes	characteristic, complemented
767	#479	—	5	1	no	—
768	#479	—	5	1	no	—
769	#479	—	5	1	no	—
770	#479	—	5	1	no	—
771	#479	—	5	1	no	—
772	#479	—	5	1	no	—
773	#479	—	5	1	no	—
774	#479	—	5	1	no	—
775	#479	—	5	1	no	—
776	#479	—	5	1	no	—
777	#479	C₂×D₅	1	1	yes	characteristic, complemented
778	#479	C₂×D₅	1	1	yes	characteristic, complemented
779	#478	—	5	1	no	—
780	#478	—	5	1	no	—
781	#478	—	5	1	no	—
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	C₂×D₅	1	1	yes	characteristic
790	#478	C₂×D₅	1	1	yes	characteristic
791	#477	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	C₂×D₅	1	1	yes	characteristic, complemented
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
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	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	C₂×D₅	1	1	yes	characteristic
815	#446	—	5	1	no	—
816	#446	—	5	1	no	—
817	#446	—	5	1	no	—
818	#446	—	5	1	no	—
819	C₈×Q₈	—	5	1	no	—
820	C₈×Q₈	—	5	1	no	—
821	C₈×Q₈	—	5	1	no	—
822	C₈×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
823	#440	—	5	1	no	—
824	#440	—	5	1	no	—
825	#440	—	5	1	no	—
826	#440	—	5	1	no	—
827	#440	—	5	1	no	—
828	#440	—	5	1	no	—
829	#440	—	5	1	no	—
830	#440	—	5	1	no	—
831	C₄×SD₁₆	—	5	1	no	—
832	C₄×SD₁₆	—	5	1	no	—
833	C₄×SD₁₆	—	5	1	no	—
834	C₄×SD₁₆	—	5	1	no	—
835	C₄×SD₁₆	—	5	1	no	—
836	C₄×SD₁₆	—	5	1	no	—
837	C₄×SD₁₆	—	5	1	no	—
838	C₄×SD₁₆	—	5	1	no	—
839	C₄×SD₁₆	—	5	1	no	—
840	C₄×SD₁₆	—	5	1	no	—
841	C₄×SD₁₆	—	5	1	no	—
842	C₄×SD₁₆	—	5	1	no	—
843	C₄×SD₁₆	—	5	1	no	—
844	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
845	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
846	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
847	#428	—	5	1	no	—
848	#428	—	5	1	no	—
849	#428	—	5	1	no	—
850	#428	—	5	1	no	—
851	#427	—	5	1	no	—
852	#427	—	5	1	no	—
853	#427	—	5	1	no	—
854	#427	—	5	1	no	—
855	C₂×#106	—	5	1	no	—
856	#424	—	5	1	no	—
857	#424	—	5	1	no	—
858	#423	—	5	1	no	—
859	#419	—	5	1	no	—
860	#419	—	5	1	no	—
861	#418	—	5	1	no	—
862	#418	—	5	1	no	—
863	C₂×#103	—	5	1	no	—
864	C₂×#102	—	5	1	no	—
865	#405	—	5	1	no	—
866	#405	—	5	1	no	—
867	C₂×C₄×C₈	—	5	1	no	—
868	C₂³×C₅	—	2	1	no	—
869	C₂²×D₅	—	2	1	no	—
870	C₂²×D₅	—	2	4	no	—
871	C₂²×D₅	—	8	1	no	—
872	C₂²×D₅	—	8	1	no	—
873	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
874	C₅×Q₈	—	2	1	no	—
875	C₅×Q₈	—	4	1	no	—
876	C₅×Q₈	—	8	1	no	—
877	C₅×Q₈	—	8	1	no	—
878	C₅×Q₈	C₂²×Q₈	1	2	yes	—
879	C₅×D₄	—	2	1	no	—
880	C₅×D₄	C₂²×Q₈	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	C₂²×Q₈	1	2	yes	—
918	C₄×D₅	—	2	4	no	—
919	C₄×D₅	—	2	2	no	—
920	C₄×D₅	—	4	1	no	—
921	C₄×D₅	—	4	2	no	—
922	C₄×D₅	—	8	1	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	C₄×D₅	C₂²×Q₈	1	2	yes	—
930	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
931	Dic₁₀	—	2	1	no	—
932	Dic₁₀	—	2	4	no	—
933	Dic₁₀	—	2	2	no	—
934	Dic₁₀	—	2	2	no	—
935	Dic₁₀	—	4	1	no	—
936	Dic₁₀	—	4	2	no	—
937	Dic₁₀	—	4	2	no	—
938	Dic₁₀	—	8	1	no	—
939	Dic₁₀	—	8	1	no	—
940	Dic₁₀	—	8	1	no	—
941	Dic₁₀	—	8	1	no	—
942	Dic₁₀	—	8	1	no	—
943	Dic₁₀	—	8	1	no	—
944	Dic₁₀	—	8	1	no	—
945	Dic₁₀	—	8	1	no	—
946	Dic₁₀	C₂²×Q₈	1	2	yes	—
947	C₅×C₈	—	2	1	no	—
948	C₅×C₈	—	2	1	no	—
949	C₅×C₈	—	2	1	no	—
950	C₅×C₈	C₂²×Q₈	1	2	yes	—
951	#168	—	2	1	no	—
952	#168	—	2	1	no	—
953	#168	—	2	1	no	—
954	#168	C₂²×Q₈	1	2	yes	—
955	C₂²×Q₈	—	5	1	no	—
956	C₂²×Q₈	—	10	1	no	—
957	C₂²×Q₈	—	10	1	no	—
958	C₂²×D₄	—	5	1	no	—
959	C₂³×C₄	—	10	1	no	—
960	C₂×SD₁₆	—	5	1	no	—
961	C₂×SD₁₆	—	5	1	no	—
962	C₂×SD₁₆	—	5	8	no	—
963	C₂×SD₁₆	—	5	1	no	—
964	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
965	C₂×M₁₆	—	5	1	no	—
966	C₂×M₁₆	—	5	1	no	—
967	C₂²×C₈	—	5	1	no	—
968	C₂²×C₈	—	5	1	no	—
969	C₄⋊Q₈	—	2	1	no	—
970	C₄⋊Q₈	—	5	1	no	—
971	C₄⋊Q₈	—	5	1	no	—
972	C₄⋊Q₈	—	5	1	no	—
973	C₄⋊Q₈	—	5	1	no	—
974	C₄⋊Q₈	—	5	1	no	—
975	C₄⋊Q₈	—	5	1	no	—
976	C₄⋊Q₈	—	5	1	no	—
977	C₄⋊Q₈	—	5	1	no	—
978	C₄⋊Q₈	—	5	1	no	—
979	C₄⋊Q₈	—	5	1	no	—
980	C₄⋊Q₈	—	5	1	no	—
981	C₄⋊Q₈	—	5	1	no	—
982	C₄⋊Q₈	—	10	1	no	—
983	C₄⋊Q₈	—	10	1	no	—
984	C₄⋊Q₈	—	10	1	no	—
985	C₄⋊Q₈	—	10	1	no	—
986	C₄⋊Q₈	—	10	1	no	—
987	C₄⋊Q₈	—	10	1	no	—
988	C₄⋊Q₈	—	10	1	no	—
989	C₄⋊Q₈	—	10	1	no	—
990	C₄⋊Q₈	—	10	1	no	—
991	C₄⋊Q₈	—	10	1	no	—
992	C₄⋊Q₈	—	10	1	no	—
993	C₄⋊Q₈	—	10	1	no	—
994	C₄⋊Q₈	—	10	1	no	—
995	C₄⋊Q₈	—	10	1	no	—
996	C₄⋊Q₈	—	10	1	no	—
997	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
998	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
999	#125	—	2	1	no	—
1000	#125	—	2	1	no	—
1001	#125	—	5	1	no	—
1002	#125	—	5	1	no	—
1003	#125	—	5	1	no	—
1004	#125	—	5	1	no	—
1005	#125	—	5	1	no	—
1006	#125	—	5	1	no	—
1007	#125	—	5	1	no	—
1008	#125	—	5	1	no	—
1009	#125	—	5	1	no	—
1010	#125	—	5	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	C₂²×D₅	1	1	yes	characteristic
1026	#125	C₂²×D₅	1	1	yes	characteristic
1027	#125	C₂²×D₅	1	1	yes	characteristic
1028	#125	C₂²×D₅	1	1	yes	characteristic
1029	C₂²⋊Q₈	—	2	1	no	—
1030	C₂²⋊Q₈	—	2	1	no	—
1031	C₂²⋊Q₈	—	2	1	no	—
1032	C₂²⋊Q₈	—	5	1	no	—
1033	C₂²⋊Q₈	—	5	1	no	—
1034	C₂²⋊Q₈	—	5	1	no	—
1035	C₂²⋊Q₈	—	5	1	no	—
1036	C₂²⋊Q₈	—	10	1	no	—
1037	C₂²⋊Q₈	—	10	1	no	—
1038	C₂²⋊Q₈	—	10	1	no	—
1039	C₂²⋊Q₈	—	10	1	no	—
1040	C₂²⋊Q₈	—	10	1	no	—
1041	C₂²⋊Q₈	—	10	1	no	—
1042	C₂²⋊Q₈	—	10	1	no	—
1043	C₂²⋊Q₈	—	10	1	no	—
1044	C₂²⋊Q₈	—	10	1	no	—
1045	C₂²⋊Q₈	—	10	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	C₄×Q₈	—	2	1	no	—
1070	C₄×Q₈	—	5	1	no	—
1071	C₄×Q₈	—	5	1	no	—
1072	C₄×Q₈	—	5	1	no	—
1073	C₄×Q₈	—	5	1	no	—
1074	C₄×Q₈	—	5	1	no	—
1075	C₄×Q₈	—	5	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	—	10	1	no	—
1083	C₄×Q₈	—	10	1	no	—
1084	C₄×Q₈	—	10	1	no	—
1085	C₄×Q₈	—	10	1	no	—
1086	C₄×Q₈	—	10	1	no	—
1087	C₄×Q₈	—	10	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	—	5	1	no	—
1126	#117	—	5	1	no	—
1127	#117	—	10	1	no	—
1128	#117	—	10	1	no	—
1129	#117	—	10	1	no	—
1130	#117	—	10	1	no	—
1131	C₂×C₄⋊C₄	—	2	1	no	—
1132	C₂×C₄⋊C₄	—	5	1	no	—
1133	C₂×C₄⋊C₄	—	5	1	no	—
1134	C₂×C₄⋊C₄	—	10	1	no	—
1135	C₂×C₄⋊C₄	—	10	1	no	—
1136	C₂×C₄⋊C₄	—	10	1	no	—
1137	C₂×C₄⋊C₄	—	10	1	no	—
1138	C₂×C₄⋊C₄	—	10	1	no	—
1139	C₂×C₄⋊C₄	—	10	1	no	—
1140	C₂×C₂²⋊C₄	—	10	1	no	—
1141	C₂×C₂²⋊C₄	—	10	1	no	—
1142	C₂×C₂²⋊C₄	—	10	1	no	—
1143	C₂×C₂²⋊C₄	—	10	1	no	—
1144	C₂×C₂²⋊C₄	—	10	1	no	—
1145	C₂×C₄²	—	5	1	no	—
1146	C₂×C₄²	—	10	1	no	—
1147	#107	—	5	1	no	—
1148	#107	—	5	1	no	—
1149	#107	—	5	1	no	—
1150	#107	—	5	1	no	—
1151	#107	—	5	1	no	—
1152	#107	—	5	1	no	—
1153	#107	—	5	1	no	—
1154	#107	—	5	1	no	—
1155	#107	—	5	1	no	—
1156	#107	—	5	1	no	—
1157	#107	—	5	1	no	—
1158	#107	—	5	1	no	—
1159	#107	C₂²×D₅	1	1	yes	characteristic
1160	#107	C₂²×D₅	1	1	yes	characteristic
1161	#107	C₂²×D₅	1	1	yes	characteristic
1162	#107	C₂²×D₅	1	1	yes	characteristic
1163	#106	—	5	1	no	—
1164	#106	—	5	1	no	—
1165	#106	—	5	1	no	—
1166	#106	—	5	1	no	—
1167	#106	—	5	1	no	—
1168	#106	—	5	1	no	—
1169	#106	—	5	1	no	—
1170	#106	—	5	1	no	—
1171	#106	—	5	1	no	—
1172	#106	—	5	1	no	—
1173	#106	—	5	1	no	—
1174	#106	—	5	1	no	—
1175	#106	—	5	1	no	—
1176	#106	—	5	1	no	—
1177	#106	—	5	1	no	—
1178	#106	C₂²×D₅	1	1	yes	characteristic
1179	#106	C₂²×D₅	1	1	yes	characteristic
1180	#106	C₂²×D₅	1	1	yes	characteristic
1181	#106	C₂²×D₅	1	1	yes	characteristic
1182	#106	C₂²×D₅	1	1	yes	characteristic
1183	C₄⋊C₈	—	5	1	no	—
1184	C₄⋊C₈	—	5	1	no	—
1185	C₄⋊C₈	—	5	1	no	—
1186	C₄⋊C₈	—	5	1	no	—
1187	C₄⋊C₈	—	5	1	no	—
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	—	5	1	no	—
1192	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1193	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1194	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1195	#103	—	5	1	no	—
1196	#103	—	5	1	no	—
1197	#103	—	5	1	no	—
1198	#103	—	5	1	no	—
1199	#103	—	5	1	no	—
1200	#103	—	5	1	no	—
1201	#103	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	C₂²×D₅	1	1	yes	characteristic
1205	#103	C₂²×D₅	1	1	yes	characteristic
1206	#103	C₂²×D₅	1	1	yes	characteristic
1207	#102	—	5	1	no	—
1208	#102	—	5	1	no	—
1209	#102	—	5	1	no	—
1210	#102	—	5	1	no	—
1211	#102	—	5	1	no	—
1212	#102	—	5	1	no	—
1213	#102	—	5	1	no	—
1214	#102	—	5	1	no	—
1215	#102	—	5	1	no	—
1216	#102	C₂²×D₅	1	1	yes	characteristic
1217	#102	C₂²×D₅	1	1	yes	characteristic
1218	#102	C₂²×D₅	1	1	yes	characteristic
1219	#97	—	5	1	no	—
1220	#97	—	5	1	no	—
1221	#97	—	5	1	no	—
1222	#97	—	5	1	no	—
1223	C₄×C₈	—	5	1	no	—
1224	C₄×C₈	—	5	1	no	—
1225	C₄×C₈	—	5	1	no	—
1226	C₄×C₈	—	5	1	no	—
1227	C₄×C₈	—	5	1	no	—
1228	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1229	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1230	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1231	C₂²×C₅	—	2	2	no	—
1232	C₂²×C₅	—	4	1	no	—
1233	C₂²×C₅	—	4	1	no	—
1234	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1235	C₂×D₅	—	2	1	no	—
1236	C₂×D₅	—	2	1	no	—
1237	C₂×D₅	—	2	2	no	—
1238	C₂×D₅	—	4	1	no	—
1239	C₂×D₅	—	4	1	no	—
1240	C₂×D₅	—	8	4	no	—
1241	C₂×D₅	D₄×Q₈	1	2	yes	—
1242	C₄×C₅	—	2	1	no	—
1243	C₄×C₅	—	2	1	no	—
1244	C₄×C₅	—	2	1	no	—
1245	C₄×C₅	—	2	2	no	—
1246	C₄×C₅	—	2	1	no	—
1247	C₄×C₅	—	2	1	no	—
1248	C₄×C₅	—	2	1	no	—
1249	C₄×C₅	—	4	1	no	—
1250	C₄×C₅	—	4	1	no	—
1251	C₄×C₅	—	4	1	no	—
1252	C₄×C₅	—	4	1	no	—
1253	C₄×C₅	—	4	1	no	—
1254	C₄×C₅	—	4	1	no	—
1255	C₄×C₅	C₂³×Q₈	1	1	yes	characteristic
1256	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1257	Dic₅	—	2	1	no	—
1258	Dic₅	—	2	1	no	—
1259	Dic₅	—	2	1	no	—
1260	Dic₅	—	2	2	no	—
1261	Dic₅	—	2	1	no	—
1262	Dic₅	—	2	1	no	—
1263	Dic₅	—	4	1	no	—
1264	Dic₅	—	4	1	no	—
1265	Dic₅	—	4	1	no	—
1266	Dic₅	—	4	1	no	—
1267	Dic₅	—	4	1	no	—
1268	Dic₅	—	4	1	no	—
1269	Dic₅	D₄×Q₈	1	2	yes	—
1270	Dic₅	#577	1	2	yes	—
1271	C₂⁴	—	10	1	no	—
1272	C₂×Q₈	—	2	1	no	—
1273	C₂×Q₈	—	2	1	no	—
1274	C₂×Q₈	—	5	1	no	—
1275	C₂×Q₈	—	5	1	no	—
1276	C₂×Q₈	—	5	1	no	—
1277	C₂×Q₈	—	5	4	no	—
1278	C₂×Q₈	—	5	1	no	—
1279	C₂×Q₈	—	10	1	no	—
1280	C₂×Q₈	—	10	1	no	—
1281	C₂×Q₈	—	10	1	no	—
1282	C₂×Q₈	—	10	1	no	—
1283	C₂×Q₈	—	10	1	no	—
1284	C₂×Q₈	—	10	1	no	—
1285	C₂×Q₈	—	10	1	no	—
1286	C₂×Q₈	—	10	1	no	—
1287	C₂×Q₈	—	10	1	no	—
1288	C₂×Q₈	—	10	2	no	—
1289	C₂×Q₈	—	10	1	no	—
1290	C₂×Q₈	—	10	1	no	—
1291	C₂×Q₈	—	40	2	no	—
1292	C₂×Q₈	—	40	2	no	—
1293	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1294	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1295	C₂×D₄	—	5	4	no	—
1296	C₂×D₄	—	5	1	no	—
1297	C₂×D₄	—	10	2	no	—
1298	C₂×D₄	—	10	1	no	—
1299	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1300	C₂²×C₄	—	2	1	no	—
1301	C₂²×C₄	—	2	1	no	—
1302	C₂²×C₄	—	2	1	no	—
1303	C₂²×C₄	—	5	1	no	—
1304	C₂²×C₄	—	5	1	no	—
1305	C₂²×C₄	—	5	1	no	—
1306	C₂²×C₄	—	10	1	no	—
1307	C₂²×C₄	—	10	1	no	—
1308	C₂²×C₄	—	10	1	no	—
1309	C₂²×C₄	—	10	1	no	—
1310	C₂²×C₄	—	10	1	no	—
1311	C₂²×C₄	—	10	1	no	—
1312	C₂²×C₄	—	10	1	no	—
1313	C₂²×C₄	—	10	1	no	—
1314	C₂²×C₄	—	10	1	no	—
1315	C₂²×C₄	—	10	1	no	—
1316	C₂²×C₄	—	10	1	no	—
1317	C₂²×C₄	—	10	1	no	—
1318	C₂²×C₄	—	40	2	no	—
1319	SD₁₆	—	5	4	no	—
1320	SD₁₆	—	5	4	no	—
1321	SD₁₆	—	5	4	no	—
1322	SD₁₆	Q₈×D₅	1	4	yes	complemented
1323	M₁₆	—	10	2	no	—
1324	M₁₆	—	10	2	no	—
1325	C₂×C₈	—	5	1	no	—
1326	C₂×C₈	—	5	4	no	—
1327	C₂×C₈	—	5	1	no	—
1328	C₂×C₈	—	5	1	no	—
1329	C₂×C₈	—	5	1	no	—
1330	C₂×C₈	—	10	2	no	—
1331	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1332	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1334	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	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	—	5	1	no	—
1355	C₄⋊C₄	—	5	1	no	—
1356	C₄⋊C₄	—	5	1	no	—
1357	C₄⋊C₄	—	5	1	no	—
1358	C₄⋊C₄	—	5	1	no	—
1359	C₄⋊C₄	—	5	1	no	—
1360	C₄⋊C₄	—	5	1	no	—
1361	C₄⋊C₄	—	5	1	no	—
1362	C₄⋊C₄	—	5	1	no	—
1363	C₄⋊C₄	—	5	1	no	—
1364	C₄⋊C₄	—	5	1	no	—
1365	C₄⋊C₄	—	5	1	no	—
1366	C₄⋊C₄	—	5	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	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1405	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1406	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1407	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1408	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1409	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1410	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1411	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1412	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	5	1	no	—
1417	C₂²⋊C₄	—	5	1	no	—
1418	C₂²⋊C₄	—	5	1	no	—
1419	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1427	C₂²⋊C₄	—	10	1	no	—
1428	C₂²⋊C₄	—	10	1	no	—
1429	C₂²⋊C₄	—	10	1	no	—
1430	C₂²⋊C₄	—	10	1	no	—
1431	C₂²⋊C₄	—	10	1	no	—
1432	C₂²⋊C₄	—	10	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	2	1	no	—
1436	C₄²	—	5	1	no	—
1437	C₄²	—	5	1	no	—
1438	C₄²	—	5	1	no	—
1439	C₄²	—	5	1	no	—
1440	C₄²	—	5	1	no	—
1441	C₄²	—	10	1	no	—
1442	C₄²	—	10	1	no	—
1443	C₄²	—	10	1	no	—
1444	C₄²	—	10	1	no	—
1445	C₄²	—	10	1	no	—
1446	C₄²	—	10	1	no	—
1447	C₄²	—	10	1	no	—
1448	C₄²	—	10	1	no	—
1449	C₄²	—	10	1	no	—
1450	C₄²	—	10	1	no	—
1451	C₄²	—	10	1	no	—
1452	C₄²	—	10	1	no	—
1453	C₄²	—	10	1	no	—
1454	C₄²	C₂³×D₅	1	1	yes	characteristic
1455	C₄²	C₂³×D₅	1	1	yes	characteristic
1456	C₄²	C₂³×D₅	1	1	yes	characteristic
1457	C₂×C₅	—	4	2	no	—
1458	C₂×C₅	C₂×D₄×Q₈	1	1	yes	characteristic
1459	C₂×C₅	C₂×#577	1	1	yes	characteristic
1460	C₂×C₅	#3584	1	1	yes	characteristic
1461	D₅	—	2	2	no	—
1462	D₅	—	4	2	no	—
1463	C₂³	—	2	1	no	—
1464	C₂³	—	5	1	no	—
1465	C₂³	—	10	4	no	—
1466	C₂³	—	10	1	no	—
1467	C₂³	—	40	1	no	—
1468	C₂³	—	40	1	no	—
1469	Q₈	—	2	1	no	—
1470	Q₈	—	4	1	no	—
1471	Q₈	—	5	2	no	—
1472	Q₈	—	8	1	no	—
1473	Q₈	—	8	1	no	—
1474	Q₈	—	10	4	no	—
1475	Q₈	—	10	2	no	—
1476	Q₈	—	10	2	no	—
1477	Q₈	—	10	1	no	—
1478	Q₈	—	20	1	no	—
1479	Q₈	—	20	2	no	—
1480	Q₈	—	20	2	no	—
1481	Q₈	—	40	1	no	—
1482	Q₈	—	40	1	no	—
1483	Q₈	—	40	1	no	—
1484	Q₈	—	40	1	no	—
1485	Q₈	—	40	1	no	—
1486	Q₈	—	40	1	no	—
1487	Q₈	—	40	1	no	—
1488	Q₈	—	40	1	no	—
1489	Q₈	C₂×Q₈×D₅	1	2	yes	—
1490	D₄	—	2	1	no	—
1491	D₄	—	5	2	no	—
1492	D₄	—	10	4	no	—
1493	D₄	—	10	1	no	—
1494	D₄	C₂×Q₈×D₅	1	2	yes	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	5	1	no	—
1503	C₂×C₄	—	5	1	no	—
1504	C₂×C₄	—	5	2	no	—
1505	C₂×C₄	—	5	2	no	—
1506	C₂×C₄	—	5	1	no	—
1507	C₂×C₄	—	5	1	no	—
1508	C₂×C₄	—	5	1	no	—
1509	C₂×C₄	—	5	1	no	—
1510	C₂×C₄	—	5	1	no	—
1511	C₂×C₄	—	8	1	no	—
1512	C₂×C₄	—	8	1	no	—
1513	C₂×C₄	—	8	1	no	—
1514	C₂×C₄	—	10	2	no	—
1515	C₂×C₄	—	10	4	no	—
1516	C₂×C₄	—	10	1	no	—
1517	C₂×C₄	—	10	1	no	—
1518	C₂×C₄	—	10	1	no	—
1519	C₂×C₄	—	10	1	no	—
1520	C₂×C₄	—	10	1	no	—
1521	C₂×C₄	—	10	1	no	—
1522	C₂×C₄	—	10	1	no	—
1523	C₂×C₄	—	20	1	no	—
1524	C₂×C₄	—	20	2	no	—
1525	C₂×C₄	—	20	2	no	—
1526	C₂×C₄	—	40	1	no	—
1527	C₂×C₄	—	40	1	no	—
1528	C₂×C₄	—	40	1	no	—
1529	C₂×C₄	—	40	1	no	—
1530	C₂×C₄	—	40	1	no	—
1531	C₂×C₄	—	40	1	no	—
1532	C₂×C₄	—	40	1	no	—
1533	C₂×C₄	—	40	1	no	—
1534	C₂×C₄	—	40	1	no	—
1535	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1536	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1537	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1538	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1539	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1540	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1541	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1542	C₈	—	2	1	no	—
1543	C₈	—	2	1	no	—
1544	C₈	—	2	1	no	—
1545	C₈	—	5	2	no	—
1546	C₈	—	10	1	no	—
1547	C₈	—	10	1	no	—
1548	C₈	—	10	1	no	—
1549	C₈	C₂×Q₈×D₅	1	2	yes	—
1550	C₅	#61371	1	1	yes	characteristic, complemented, Sylow
1551	C₂²	—	2	2	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	5	2	no	—
1555	C₂²	—	10	1	no	—
1556	C₂²	—	10	1	no	—
1557	C₂²	—	10	2	no	—
1558	C₂²	—	20	1	no	—
1559	C₂²	—	20	1	no	—
1560	C₂²	—	40	4	no	—
1561	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1562	C₄	—	2	2	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	1	no	—
1566	C₄	—	2	1	no	—
1567	C₄	—	2	1	no	—
1568	C₄	—	2	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	4	1	no	—
1572	C₄	—	4	1	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	5	2	no	—
1576	C₄	—	5	2	no	—
1577	C₄	—	10	2	no	—
1578	C₄	—	10	1	no	—
1579	C₄	—	10	1	no	—
1580	C₄	—	10	1	no	—
1581	C₄	—	10	1	no	—
1582	C₄	—	10	1	no	—
1583	C₄	—	20	1	no	—
1584	C₄	—	20	1	no	—
1585	C₄	—	20	1	no	—
1586	C₄	—	20	1	no	—
1587	C₄	—	20	1	no	—
1588	C₄	—	20	1	no	—
1589	C₄	C₂²×Q₈×D₅	1	1	yes	characteristic
1590	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1591	C₂	—	4	2	no	—
1592	C₂	—	10	2	no	—
1593	C₂	—	20	2	no	—
1594	C₂	D₄×Q₈×D₅	1	1	yes	characteristic
1595	C₂	#10619088	1	1	yes	characteristic
1596	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×#3381	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	C₂×D₄×D₅	C₂³
hypercenter	#3381	D₅
hypocenter	C₅	#61371
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3381

Complements

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

N	H ≅ G/N	type
1. #10618933	C₂	semidirect
3. C₅×#3381	C₂	semidirect
4. #10615426	C₂	semidirect
5. #10615363	C₂	semidirect
6. #10613648	C₂	semidirect
7. #10613647	C₂	semidirect
8. #10613644	C₂	semidirect
9. #10613644	C₂	semidirect
10. #10613634	C₂	semidirect
11. #10613623	C₂	semidirect
12. #10612997	C₂	semidirect
13. #10612963	C₂	semidirect
14. #10612961	C₂	semidirect
15. #10612954	C₂	semidirect
18. #10612891	C₂	semidirect
19. #10612890	C₂	semidirect
20. #10612841	C₂	semidirect
21. #10612834	C₂	semidirect
23. #10612691	C₂	semidirect
24. #10611662	C₂	semidirect
25. #10611648	C₂	semidirect
29. #10611364	C₂	semidirect
30. #10611364	C₂	semidirect
31. SD₁₆×Dic₁₀	C₂	semidirect
32. C₅×#557	C₂²	semidirect
40. #66056	C₂²	semidirect
51. #66019	C₂²	semidirect
52. #66019	C₂²	semidirect
65. #65903	C₂²	semidirect
66. #65903	C₂²	semidirect
68. #65901	C₂²	semidirect
69. Q₈×Dic₁₀	C₂²	semidirect
78. C₅×#499	C₂²	semidirect
79. C₅×#499	C₂²	semidirect
80. C₅×#498	C₂²	semidirect
81. C₅×#479	C₂²	semidirect
82. C₅×#479	C₂²	semidirect
85. C₅×#477	C₂²	semidirect
87. C₅×C₈×Q₈	C₂²	semidirect
94. #65383	C₂²	semidirect
96. #65369	C₂²	semidirect
97. #65369	C₂²	semidirect
100. #65354	C₂²	semidirect
101. #65354	C₂²	semidirect
102. #65353	C₂²	semidirect
103. #65353	C₂²	semidirect
104. #65352	C₂²	semidirect
105. #65352	C₂²	semidirect
109. #65313	C₂²	semidirect
110. #65311	C₂²	semidirect
111. #65311	C₂²	semidirect
112. #65309	C₂²	semidirect
127. #65166	C₂²	semidirect
128. #65166	C₂²	semidirect
129. #65165	C₂²	semidirect
130. #65165	C₂²	semidirect
131. #65164	C₂²	semidirect
132. #65164	C₂²	semidirect
133. #65163	C₂²	semidirect
134. #65163	C₂²	semidirect
142. #65147	C₂²	semidirect
143. #65147	C₂²	semidirect
144. #65145	C₂²	semidirect
145. #65145	C₂²	semidirect
146. #65144	C₂²	semidirect
147. #65144	C₂²	semidirect
148. #65144	C₂²	semidirect
149. #65144	C₂²	semidirect
150. #65143	C₂²	semidirect
151. #65143	C₂²	semidirect
155. #65139	C₂²	semidirect
162. #65120	C₂²	semidirect
163. #65118	C₂²	semidirect
164. #65118	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
172. #65085	C₂²	semidirect
173. #65085	C₂²	semidirect
174. #65083	C₂²	semidirect
175. #65083	C₂²	semidirect
176. #65080	C₂²	semidirect
177. #65080	C₂²	semidirect
197. #64972	C₂²	semidirect
198. #64972	C₂²	semidirect
199. #64969	C₂²	semidirect
200. C₈×Dic₁₀	C₂²	semidirect
201. C₈×Dic₁₀	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
260. D₅×SD₁₆	Q₈	semidirect
495. #3381	D₅	semidirect
526. Q₈×D₅	C₂×Q₈	semidirect
559. C₅×SD₁₆	C₂×Q₈	semidirect
598. #688	C₂×Q₈	semidirect
599. #687	C₂×Q₈	semidirect
692. #677	C₂×Q₈	semidirect
696. C₈×D₅	C₂×Q₈	semidirect
709. #557	C₂×D₅	semidirect
759. #499	C₂×D₅	semidirect
760. #499	C₂×D₅	semidirect
766. #498	C₂×D₅	semidirect
777. #479	C₂×D₅	semidirect
778. #479	C₂×D₅	semidirect
796. #477	C₂×D₅	semidirect
822. C₈×Q₈	C₂×D₅	semidirect
1322. SD₁₆	Q₈×D₅	semidirect
1550. C₅	#61371	semidirect

Maximal subgroups

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

subgroup	index
#10618933	2
#10618850	2
C₅×#3381	2
#10615426	2
#10615363	2
#10613648	2
#10613647	2
#10613644	2
#10613634	2
#10613623	2
#10612997	2
#10612963	2
#10612961	2
#10612954	2
#10612900	2
#10612897	2
#10612891	2
#10612890	2
#10612841	2
#10612834	2
#10612698	2
#10612691	2
#10611662	2
#10611648	2
#10611380	2
C₄×D₅×SD₁₆	2
#10611364	2
SD₁₆×Dic₁₀	2
#61371	5