Subgroups — #12979280

Order 1280.

1802 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618964	C₂	1	1	yes	maximal, characteristic
2	#10618933	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3365	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615449	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615422	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613369	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613368	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613366	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613365	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613319	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613294	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612934	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612902	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612897	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612884	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612745	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612735	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612331	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612329	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612314	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612313	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612116	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612103	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611666	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611648	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611450	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611431	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611379	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₅×SD₁₆	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611355	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611353	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×#557	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×#4061	C₂²	1	1	yes	characteristic
36	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
37	#66063	—	2	1	no	—
38	#66063	C₂²	1	1	yes	characteristic
39	#66056	—	2	1	no	—
40	#66056	C₂²	1	1	yes	characteristic, complemented
41	#66052	C₂²	1	1	yes	characteristic
42	#66049	C₂²	1	1	yes	characteristic
43	#66023	—	2	1	no	—
44	#66023	C₂²	1	1	yes	characteristic
45	#66022	—	2	1	no	—
46	#66022	C₂²	1	1	yes	characteristic
47	#66019	—	2	1	no	—
48	#66019	—	2	1	no	—
49	#66019	C₂²	1	1	yes	characteristic, complemented
50	#66019	C₂²	1	1	yes	characteristic, complemented
51	#66015	C₂²	1	1	yes	characteristic
52	#66012	—	2	1	no	—
53	#66008	C₂²	1	1	yes	characteristic
54	#66005	C₂²	1	1	yes	characteristic
55	#66004	—	2	1	no	—
56	#66002	C₂²	1	1	yes	characteristic
57	#65995	—	2	1	no	—
58	#65991	—	2	1	no	—
59	#65990	—	2	1	no	—
60	#65989	—	2	1	no	—
61	#65919	C₂²	1	1	yes	characteristic
62	#65912	—	2	1	no	—
63	#65912	C₂²	1	1	yes	characteristic
64	#65908	C₂²	1	1	yes	characteristic
65	#65906	C₂²	1	1	yes	characteristic
66	#65906	C₂²	1	1	yes	characteristic
67	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
68	#65903	C₂²	1	1	yes	characteristic, complemented
69	#65903	C₂²	1	1	yes	characteristic, complemented
70	#65902	C₂²	1	1	yes	characteristic
71	#65901	—	2	1	no	—
72	#65901	C₂²	1	1	yes	characteristic, complemented
73	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
74	#65893	C₂²	1	1	yes	characteristic
75	#65887	C₂²	1	1	yes	characteristic
76	#65881	—	2	1	no	—
77	#65880	C₂²	1	1	yes	characteristic
78	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
79	#65874	—	2	1	no	—
80	C₅×#488	C₂²	1	1	yes	characteristic
81	C₅×#488	C₂²	1	1	yes	characteristic, complemented
82	C₅×#486	C₂²	1	1	yes	characteristic
83	C₅×#478	C₂²	1	1	yes	characteristic
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#464	C₂²	1	1	yes	characteristic, complemented
88	C₅×#460	C₂²	1	1	yes	characteristic
89	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	#65474	C₂²	1	1	yes	characteristic
94	#65473	C₂²	1	1	yes	characteristic, complemented
95	#65471	C₂²	1	1	yes	characteristic, complemented
96	#65455	C₂²	1	1	yes	characteristic
97	#65453	C₂²	1	1	yes	characteristic, complemented
98	#65452	C₂²	1	1	yes	characteristic
99	#65452	C₂²	1	1	yes	characteristic
100	#65452	C₂²	1	1	yes	characteristic, complemented
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
102	#65378	C₂²	1	1	yes	characteristic
103	#65373	C₂²	1	1	yes	characteristic, complemented
104	#65364	C₂²	1	1	yes	characteristic
105	#65360	C₂²	1	1	yes	characteristic
106	#65357	C₂²	1	1	yes	characteristic, complemented
107	#65356	C₂²	1	1	yes	characteristic
108	#65355	C₂²	1	1	yes	characteristic
109	#65352	C₂²	1	1	yes	characteristic, complemented
110	#65345	C₂²	1	1	yes	characteristic, complemented
111	#65344	C₂²	1	1	yes	characteristic
112	#65343	C₂²	1	1	yes	characteristic
113	#65343	C₂²	1	1	yes	characteristic, complemented
114	#65319	C₂²	1	1	yes	characteristic, complemented
115	#65319	C₂²	1	1	yes	characteristic, complemented
116	#65317	C₂²	1	1	yes	characteristic
117	#65317	C₂²	1	1	yes	characteristic, complemented
118	#65316	C₂²	1	1	yes	characteristic
119	#65315	C₂²	1	1	yes	characteristic, complemented
120	C₄×#688	C₂²	1	1	yes	characteristic
121	#65313	C₂²	1	1	yes	characteristic, complemented
122	#65311	C₂²	1	1	yes	characteristic, complemented
123	#65307	C₂²	1	1	yes	characteristic, complemented
124	C₄×#687	C₂²	1	1	yes	characteristic
125	#65298	C₂²	1	1	yes	characteristic
126	#65297	C₂²	1	1	yes	characteristic, complemented
127	#65179	C₂²	1	1	yes	characteristic
128	#65178	C₂²	1	1	yes	characteristic, complemented
129	#65170	C₂²	1	1	yes	characteristic
130	#65166	C₂²	1	1	yes	characteristic, complemented
131	#65160	C₂²	1	1	yes	characteristic, complemented
132	#65159	C₂²	1	1	yes	characteristic
133	#65159	C₂²	1	1	yes	characteristic, complemented
134	#65150	C₂²	1	1	yes	characteristic
135	D₅×#106	C₂²	1	1	yes	characteristic
136	#65143	C₂²	1	1	yes	characteristic, complemented
137	#65142	C₂²	1	1	yes	characteristic, complemented
138	#65141	C₂²	1	1	yes	characteristic
139	#65140	C₂²	1	1	yes	characteristic, complemented
140	#65137	C₂²	1	1	yes	characteristic
141	#65136	C₂²	1	1	yes	characteristic
142	#65136	C₂²	1	1	yes	characteristic, complemented
143	#65134	C₂²	1	1	yes	characteristic
144	#65134	C₂²	1	1	yes	characteristic, complemented
145	#65128	C₂²	1	1	yes	characteristic
146	#65128	C₂²	1	1	yes	characteristic
147	#65126	C₂²	1	1	yes	characteristic
148	#65120	C₂²	1	1	yes	characteristic, complemented
149	#65117	C₂²	1	1	yes	characteristic, complemented
150	#65117	C₂²	1	1	yes	characteristic, complemented
151	#65093	C₂²	1	1	yes	characteristic
152	#65093	C₂²	1	1	yes	characteristic
153	#65092	C₂²	1	1	yes	characteristic
154	D₅×#103	C₂²	1	1	yes	characteristic
155	#65089	C₂²	1	1	yes	characteristic
156	#65087	C₂²	1	1	yes	characteristic
157	#65085	C₂²	1	1	yes	characteristic, complemented
158	#65084	C₂²	1	1	yes	characteristic
159	#65082	C₂²	1	1	yes	characteristic, complemented
160	#65081	C₂²	1	1	yes	characteristic, complemented
161	#65081	C₂²	1	1	yes	characteristic, complemented
162	#65080	C₂²	1	1	yes	characteristic, complemented
163	#65079	C₂²	1	1	yes	characteristic, complemented
164	#65079	C₂²	1	1	yes	characteristic, complemented
165	#65077	C₂²	1	1	yes	characteristic
166	#65077	C₂²	1	1	yes	characteristic, complemented
167	#65061	C₂²	1	1	yes	characteristic
168	#65061	C₂²	1	1	yes	characteristic
169	#65060	C₂²	1	1	yes	characteristic
170	#65059	C₂²	1	1	yes	characteristic
171	#65059	C₂²	1	1	yes	characteristic
172	D₅×#102	C₂²	1	1	yes	characteristic
173	#65057	C₂²	1	1	yes	characteristic
174	#65056	C₂²	1	1	yes	characteristic
175	#65054	C₂²	1	1	yes	characteristic
176	#65053	C₂²	1	1	yes	characteristic
177	#65053	C₂²	1	1	yes	characteristic
178	#65052	C₂²	1	1	yes	characteristic, complemented
179	#65051	C₂²	1	1	yes	characteristic
180	#65051	C₂²	1	1	yes	characteristic
181	#65051	C₂²	1	1	yes	characteristic, complemented
182	#65050	C₂²	1	1	yes	characteristic
183	#65050	C₂²	1	1	yes	characteristic, complemented
184	#65049	C₂²	1	1	yes	characteristic
185	#65049	C₂²	1	1	yes	characteristic
186	#65049	C₂²	1	1	yes	characteristic, complemented
187	#65049	C₂²	1	1	yes	characteristic, complemented
188	#65048	C₂²	1	1	yes	characteristic
189	#65047	C₂²	1	1	yes	characteristic
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
192	#64986	C₂²	1	1	yes	characteristic
193	#64986	C₂²	1	1	yes	characteristic, complemented
194	#64983	C₂²	1	1	yes	characteristic
195	C₄×#677	C₂²	1	1	yes	characteristic
196	C₄×#677	C₂²	1	1	yes	characteristic, complemented
197	#64978	C₂²	1	1	yes	characteristic
198	#64978	C₂²	1	1	yes	characteristic
199	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
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	#61327	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×#711	—	2	1	no	—
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×#709	—	2	1	no	—
210	C₂²×C₄×D₅	—	2	1	no	—
211	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	—	2	1	no	—
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#127	C₂³	1	1	yes	characteristic
217	C₅×#125	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#124	—	2	1	no	—
222	C₅×#124	C₂³	1	1	yes	characteristic
223	C₅×#124	C₂³	1	1	yes	characteristic
224	C₅×#123	—	2	1	no	—
225	C₅×#123	—	2	1	no	—
226	C₄×C₅×Q₈	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	—	2	1	no	—
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	#4093	—	2	1	no	—
236	#4093	C₂³	1	1	yes	characteristic
237	#4092	—	2	1	no	—
238	#4092	D₄	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	#4090	—	2	1	no	—
244	#4090	—	2	1	no	—
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	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	#4086	C₂³	1	1	yes	characteristic
254	#4086	C₂³	1	1	yes	characteristic
255	#4086	C₂³	1	1	yes	characteristic
256	#4085	—	2	1	no	—
257	#4085	—	2	1	no	—
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4084	—	2	1	no	—
261	#4083	—	2	1	no	—
262	#4083	—	2	1	no	—
263	#4082	C₂³	1	1	yes	characteristic
264	D₄×Dic₅	C₂³	1	1	yes	characteristic
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	C₂×#687	C₂³	1	1	yes	characteristic
267	C₂×#687	C₂³	1	1	yes	characteristic
268	#4076	—	2	1	no	—
269	#4075	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₂×#683	—	2	1	no	—
274	#4064	—	2	4	no	—
275	#4061	—	2	4	no	—
276	D₅×SD₁₆	—	2	4	no	—
277	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
278	C₂×#677	C₂³	1	1	yes	characteristic
279	C₂×#677	C₂³	1	1	yes	characteristic
280	C₂×#676	C₂³	1	1	yes	characteristic
281	C₂×#676	C₂³	1	1	yes	characteristic
282	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
284	#4044	—	2	1	no	—
285	#4043	—	2	1	no	—
286	#4043	D₄	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
293	#4042	D₄	1	1	yes	characteristic
294	#4040	—	2	1	no	—
295	#4040	—	2	1	no	—
296	#4039	—	2	1	no	—
297	#4039	—	2	1	no	—
298	#4039	C₂³	1	1	yes	characteristic
299	#4039	C₂³	1	1	yes	characteristic
300	#4038	—	2	1	no	—
301	#4038	—	2	1	no	—
302	#4038	C₂³	1	1	yes	characteristic
303	#4038	C₂³	1	1	yes	characteristic
304	D₅×C₄⋊C₄	—	2	1	no	—
305	D₅×C₄⋊C₄	—	2	1	no	—
306	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
307	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	#4036	—	2	1	no	—
309	#4036	—	2	1	no	—
310	#4036	C₂³	1	1	yes	characteristic
311	#4036	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
331	#4034	C₂³	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	#4033	—	2	1	no	—
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	C₂³	1	1	yes	characteristic
345	#4033	C₂³	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4033	C₂³	1	1	yes	characteristic
348	#4032	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4030	—	2	1	no	—
352	#4030	—	2	1	no	—
353	#4030	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4028	—	2	1	no	—
360	#4028	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	D₅×C₂²⋊C₄	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4023	—	2	1	no	—
371	#4023	—	2	1	no	—
372	#4022	—	2	1	no	—
373	#4021	C₂³	1	1	yes	characteristic
374	#4021	C₂³	1	1	yes	characteristic
375	#4020	C₂³	1	1	yes	characteristic
376	C₄×D₂₀	—	2	1	no	—
377	C₄×D₂₀	C₂³	1	1	yes	characteristic
378	C₄×D₂₀	C₂³	1	1	yes	characteristic
379	#4018	—	2	1	no	—
380	#4018	—	2	1	no	—
381	#4018	—	2	1	no	—
382	#4018	—	2	1	no	—
383	#4018	C₂³	1	1	yes	characteristic
384	#4018	C₂³	1	1	yes	characteristic
385	C₄²×D₅	—	2	1	no	—
386	C₄²×D₅	C₂³	1	1	yes	characteristic
387	#4016	—	2	1	no	—
388	#4016	—	2	1	no	—
389	#4016	C₂³	1	1	yes	characteristic
390	#4016	C₂³	1	1	yes	characteristic
391	#4015	—	2	1	no	—
392	#4015	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₀	—	2	1	no	—
394	C₄×Dic₁₀	—	2	1	no	—
395	C₄×Dic₁₀	—	2	1	no	—
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	—	2	1	no	—
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
423	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3949	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	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	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3506	—	5	1	no	—
483	#3502	—	5	1	no	—
484	#3371	—	5	1	no	—
485	#3371	—	5	1	no	—
486	#3371	—	5	1	no	—
487	#3371	—	5	1	no	—
488	#3369	—	5	1	no	—
489	#3369	—	5	1	no	—
490	#3368	—	5	1	no	—
491	#3368	—	5	1	no	—
492	#3365	—	5	1	no	—
493	#3365	—	5	1	no	—
494	#3365	—	5	1	no	—
495	#3365	D₅	1	1	yes	characteristic, complemented
496	#3364	—	5	1	no	—
497	#3364	—	5	1	no	—
498	#3362	—	5	1	no	—
499	#3362	—	5	1	no	—
500	#3136	—	5	1	no	—
501	#3136	—	5	1	no	—
502	#3131	—	5	1	no	—
503	#3084	—	5	1	no	—
504	#3084	—	5	1	no	—
505	#3077	—	5	1	no	—
506	#3043	—	5	1	no	—
507	#3043	—	5	1	no	—
508	#3037	—	5	1	no	—
509	#2960	—	5	1	no	—
510	#2947	—	5	1	no	—
511	#2947	—	5	1	no	—
512	C₂×C₄×SD₁₆	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	#713	—	2	2	no	—
536	#713	—	2	2	no	—
537	Q₈×D₅	—	2	2	no	—
538	Q₈×D₅	#41	1	4	yes	complemented
539	#711	—	2	2	no	—
540	#711	—	2	2	no	—
541	#711	—	8	2	no	—
542	D₄×D₅	—	2	2	no	—
543	D₄×D₅	—	2	2	no	—
544	#709	—	8	2	no	—
545	C₂×D₂₀	—	2	1	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
549	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	8	2	no	—
559	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
570	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
571	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
572	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
573	C₅×Q₁₆	—	2	2	no	—
574	C₅×SD₁₆	—	2	2	no	—
575	C₅×SD₁₆	—	2	2	no	—
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₄²×C₅	—	2	1	no	—
603	C₄²×C₅	—	2	1	no	—
604	C₄²×C₅	—	2	1	no	—
605	C₄²×C₅	—	2	1	no	—
606	C₄²×C₅	C₂⁴	1	1	yes	characteristic
607	C₄²×C₅	C₂⁴	1	1	yes	characteristic
608	C₄²×C₅	C₂⁴	1	1	yes	characteristic
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	#689	—	2	2	no	—
614	#689	—	2	2	no	—
615	#688	—	2	2	no	—
616	#688	—	2	2	no	—
617	#687	—	2	2	no	—
618	#687	—	2	2	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	C₂×D₄	1	1	yes	characteristic
632	#685	C₂×D₄	1	1	yes	characteristic
633	#685	C₂×D₄	1	1	yes	characteristic
634	#685	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	—	2	1	no	—
640	C₄⋊Dic₅	—	2	1	no	—
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
647	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	Dic₂₀	—	2	2	no	—
705	#677	—	2	2	no	—
706	#677	—	2	2	no	—
707	#676	—	2	2	no	—
708	#676	—	2	2	no	—
709	C₈×D₅	—	2	2	no	—
710	C₈×D₅	—	2	2	no	—
711	C₂×#137	—	5	1	no	—
712	C₂×#137	—	5	1	no	—
713	C₂²×SD₁₆	—	5	1	no	—
714	#559	—	5	1	no	—
715	#559	—	5	1	no	—
716	#559	—	5	1	no	—
717	#559	C₂×D₅	1	1	yes	characteristic
718	Q₈²	—	5	1	no	—
719	Q₈²	—	5	1	no	—
720	Q₈²	—	10	1	no	—
721	#557	—	5	1	no	—
722	#557	—	5	1	no	—
723	#557	—	5	1	no	—
724	#557	—	5	1	no	—
725	#557	—	5	1	no	—
726	#557	—	10	1	no	—
727	#557	—	10	1	no	—
728	#557	—	10	1	no	—
729	#557	C₂×D₅	1	1	yes	characteristic, complemented
730	#556	—	5	1	no	—
731	#556	—	5	1	no	—
732	#555	—	10	1	no	—
733	#553	—	10	1	no	—
734	#553	—	10	1	no	—
735	#550	—	5	1	no	—
736	#550	—	5	1	no	—
737	#547	—	10	1	no	—
738	#544	—	5	1	no	—
739	#544	—	5	1	no	—
740	#544	—	10	1	no	—
741	#544	—	10	1	no	—
742	#538	—	10	1	no	—
743	#538	—	10	1	no	—
744	#535	—	5	1	no	—
745	#535	—	5	1	no	—
746	#533	—	5	1	no	—
747	#533	—	5	1	no	—
748	#533	—	10	1	no	—
749	#533	—	10	1	no	—
750	#532	—	5	1	no	—
751	#525	—	10	1	no	—
752	#525	—	10	1	no	—
753	#520	—	5	1	no	—
754	#520	—	5	1	no	—
755	#519	—	5	1	no	—
756	#519	—	5	1	no	—
757	C₂×C₄×Q₈	—	5	1	no	—
758	C₂×C₄×D₄	—	5	1	no	—
759	#490	—	5	1	no	—
760	#490	—	5	1	no	—
761	#490	—	5	1	no	—
762	#490	—	5	1	no	—
763	#489	—	5	1	no	—
764	#489	—	5	1	no	—
765	#489	—	5	1	no	—
766	#489	—	5	1	no	—
767	#488	—	5	1	no	—
768	#488	—	5	1	no	—
769	#488	—	5	1	no	—
770	#488	—	5	1	no	—
771	#488	—	5	1	no	—
772	#488	—	5	1	no	—
773	#488	C₂×D₅	1	1	yes	characteristic
774	#488	C₂×D₅	1	1	yes	characteristic, complemented
775	#487	—	5	1	no	—
776	#487	—	5	1	no	—
777	#486	—	5	1	no	—
778	#486	—	5	1	no	—
779	#486	—	5	1	no	—
780	#486	—	5	1	no	—
781	#486	—	5	1	no	—
782	#486	C₂×D₅	1	1	yes	characteristic
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#479	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic
794	#478	C₂×D₅	1	1	yes	characteristic, complemented
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	—	5	1	no	—
804	#475	C₂×D₅	1	1	yes	characteristic, complemented
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#464	—	5	1	no	—
808	#464	—	5	1	no	—
809	#464	—	5	1	no	—
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	C₂×D₅	1	1	yes	characteristic
818	#464	C₂×D₅	1	1	yes	characteristic, complemented
819	#462	—	5	1	no	—
820	#462	—	5	1	no	—
821	#460	—	5	1	no	—
822	#460	—	5	1	no	—
823	#460	—	5	1	no	—
824	#460	—	5	1	no	—
825	#460	—	5	1	no	—
826	#460	—	5	1	no	—
827	#460	—	5	1	no	—
828	#460	—	5	1	no	—
829	#460	—	5	1	no	—
830	#460	C₂×D₅	1	1	yes	characteristic
831	#446	—	5	1	no	—
832	#446	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	C₈×Q₈	—	5	1	no	—
836	C₈×Q₈	—	5	1	no	—
837	C₈×Q₈	—	5	1	no	—
838	C₈×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
839	#441	—	5	1	no	—
840	#441	—	5	1	no	—
841	#441	—	5	1	no	—
842	#441	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	C₄×Q₁₆	—	5	1	no	—
848	C₄×Q₁₆	—	5	1	no	—
849	C₄×Q₁₆	—	5	1	no	—
850	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
862	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	C₂×#106	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	—	5	1	no	—
868	#423	—	5	1	no	—
869	#418	—	5	1	no	—
870	#418	—	5	1	no	—
871	#417	—	5	1	no	—
872	#417	—	5	1	no	—
873	#416	—	5	1	no	—
874	#416	—	5	1	no	—
875	#416	—	5	1	no	—
876	#416	—	5	1	no	—
877	C₂×#103	—	5	1	no	—
878	C₂×#102	—	5	1	no	—
879	#405	—	5	1	no	—
880	#405	—	5	1	no	—
881	C₂×C₄×C₈	—	5	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	—	2	1	no	—
884	C₂²×D₅	—	2	1	no	—
885	C₂²×D₅	—	2	1	no	—
886	C₂²×D₅	—	4	2	no	—
887	C₂²×D₅	—	8	1	no	—
888	C₂²×D₅	—	8	1	no	—
889	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
890	C₅×Q₈	—	2	1	no	—
891	C₅×Q₈	—	2	1	no	—
892	C₅×Q₈	—	2	1	no	—
893	C₅×Q₈	—	4	1	no	—
894	C₅×Q₈	—	8	1	no	—
895	C₅×Q₈	C₂×#41	1	2	yes	—
896	C₅×D₄	—	2	1	no	—
897	C₅×D₄	—	2	1	no	—
898	C₅×D₄	—	2	1	no	—
899	C₅×D₄	—	2	1	no	—
900	C₅×D₄	—	8	1	no	—
901	C₅×D₄	—	8	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	8	1	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
917	C₂²⋊D₅	—	4	2	no	—
918	C₂²⋊D₅	—	4	2	no	—
919	C₂²⋊D₅	—	4	2	no	—
920	C₂²⋊D₅	—	8	1	no	—
921	C₂²⋊D₅	—	8	1	no	—
922	C₂²⋊D₅	—	8	1	no	—
923	C₂²⋊D₅	—	8	1	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	2	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	4	2	no	—
932	C₂×Dic₅	—	4	2	no	—
933	C₂×Dic₅	—	8	1	no	—
934	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	D₂₀	—	2	1	no	—
942	D₂₀	—	2	1	no	—
943	D₂₀	—	2	1	no	—
944	D₂₀	—	2	1	no	—
945	D₂₀	—	4	2	no	—
946	D₂₀	—	8	1	no	—
947	D₂₀	—	8	1	no	—
948	C₄×D₅	—	2	4	no	—
949	C₄×D₅	—	2	2	no	—
950	C₄×D₅	—	4	1	no	—
951	C₄×D₅	—	4	2	no	—
952	C₄×D₅	—	4	2	no	—
953	C₄×D₅	—	8	1	no	—
954	C₄×D₅	—	8	1	no	—
955	C₄×D₅	—	8	1	no	—
956	C₄×D₅	—	8	1	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	C₂×#41	1	2	yes	—
959	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
960	Dic₁₀	—	2	1	no	—
961	Dic₁₀	—	2	4	no	—
962	Dic₁₀	—	2	2	no	—
963	Dic₁₀	—	2	2	no	—
964	Dic₁₀	—	2	1	no	—
965	Dic₁₀	—	2	1	no	—
966	Dic₁₀	—	4	1	no	—
967	Dic₁₀	—	4	2	no	—
968	Dic₁₀	—	8	1	no	—
969	Dic₁₀	—	8	1	no	—
970	Dic₁₀	—	8	1	no	—
971	Dic₁₀	—	8	1	no	—
972	Dic₁₀	C₂×#41	1	2	yes	—
973	C₅×C₈	—	2	1	no	—
974	C₅×C₈	—	2	1	no	—
975	C₅×C₈	—	2	1	no	—
976	C₅×C₈	—	2	1	no	—
977	#168	—	2	1	no	—
978	#168	—	2	1	no	—
979	#168	—	2	1	no	—
980	#168	—	2	1	no	—
981	C₂×#41	—	5	1	no	—
982	C₂×#41	—	5	1	no	—
983	C₂×#41	—	10	1	no	—
984	C₂×#41	—	10	1	no	—
985	C₂²×Q₈	—	5	1	no	—
986	C₂²×D₄	—	5	1	no	—
987	C₂³×C₄	—	10	1	no	—
988	#137	—	10	4	no	—
989	#137	—	10	4	no	—
990	C₂×Q₁₆	—	5	1	no	—
991	C₂×Q₁₆	—	5	1	no	—
992	C₂×Q₁₆	—	5	1	no	—
993	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	—	5	1	no	—
997	C₂×SD₁₆	—	5	1	no	—
998	C₂×SD₁₆	—	5	1	no	—
999	C₂×SD₁₆	—	5	1	no	—
1000	C₂×SD₁₆	—	10	4	no	—
1001	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1002	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1003	C₂×M₁₆	—	5	1	no	—
1004	C₂×M₁₆	—	5	1	no	—
1005	C₂²×C₈	—	5	1	no	—
1006	C₂²×C₈	—	5	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	5	1	no	—
1014	C₄⋊Q₈	—	5	1	no	—
1015	C₄⋊Q₈	—	5	1	no	—
1016	C₄⋊Q₈	—	10	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	—	10	1	no	—
1019	C₄⋊Q₈	—	10	1	no	—
1020	C₄⋊Q₈	—	10	1	no	—
1021	C₄⋊Q₈	—	10	1	no	—
1022	C₄⋊Q₈	—	10	1	no	—
1023	C₄⋊Q₈	—	10	1	no	—
1024	C₄⋊Q₈	—	10	1	no	—
1025	C₄⋊Q₈	—	10	1	no	—
1026	C₄⋊Q₈	—	10	1	no	—
1027	C₄⋊Q₈	—	10	1	no	—
1028	C₄⋊Q₈	—	10	1	no	—
1029	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1030	#127	—	5	1	no	—
1031	#127	—	5	1	no	—
1032	#127	—	5	1	no	—
1033	#127	—	5	1	no	—
1034	#127	C₂²×D₅	1	1	yes	characteristic
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#125	—	2	1	no	—
1040	#125	—	2	1	no	—
1041	#125	—	5	1	no	—
1042	#125	—	5	1	no	—
1043	#125	—	5	1	no	—
1044	#125	—	5	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	5	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	—	10	1	no	—
1056	#125	—	10	1	no	—
1057	#125	—	10	1	no	—
1058	#125	—	10	1	no	—
1059	#125	C₂²×D₅	1	1	yes	characteristic
1060	#125	C₂²×D₅	1	1	yes	characteristic
1061	#124	—	2	1	no	—
1062	#124	—	5	1	no	—
1063	#124	—	5	1	no	—
1064	#124	—	5	1	no	—
1065	#124	—	5	1	no	—
1066	#124	—	10	1	no	—
1067	#124	—	10	1	no	—
1068	#124	—	10	1	no	—
1069	#124	C₂²×D₅	1	1	yes	characteristic
1070	#124	C₂²×D₅	1	1	yes	characteristic
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	1	no	—
1082	C₂²⋊Q₈	—	5	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	#121	—	10	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	—	10	1	no	—
1100	#121	—	10	1	no	—
1101	#121	—	10	1	no	—
1102	#121	—	10	1	no	—
1103	#120	—	10	1	no	—
1104	#120	—	10	1	no	—
1105	#120	—	10	1	no	—
1106	#120	—	10	1	no	—
1107	C₄×Q₈	—	2	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	—	10	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	—	10	1	no	—
1134	C₄×Q₈	—	10	1	no	—
1135	C₄×Q₈	—	10	1	no	—
1136	C₄×Q₈	—	10	1	no	—
1137	C₄×Q₈	—	10	1	no	—
1138	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1141	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1142	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1162	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1163	#117	—	5	1	no	—
1164	#117	—	5	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	10	1	no	—
1168	#117	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	C₂×C₄⋊C₄	—	5	1	no	—
1176	C₂×C₄⋊C₄	—	5	1	no	—
1177	C₂×C₄⋊C₄	—	10	1	no	—
1178	C₂×C₄⋊C₄	—	10	1	no	—
1179	C₂×C₄⋊C₄	—	10	1	no	—
1180	C₂×C₂²⋊C₄	—	10	1	no	—
1181	C₂×C₄²	—	5	1	no	—
1182	C₂×C₄²	—	10	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	C₂²×D₅	1	1	yes	characteristic
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	—	5	1	no	—
1193	#106	C₂²×D₅	1	1	yes	characteristic
1194	#106	C₂²×D₅	1	1	yes	characteristic
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1206	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	—	5	1	no	—
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	C₂²×D₅	1	1	yes	characteristic
1220	#103	C₂²×D₅	1	1	yes	characteristic
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#103	C₂²×D₅	1	1	yes	characteristic
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	#102	C₂²×D₅	1	1	yes	characteristic
1243	#102	C₂²×D₅	1	1	yes	characteristic
1244	#102	C₂²×D₅	1	1	yes	characteristic
1245	#102	C₂²×D₅	1	1	yes	characteristic
1246	#102	C₂²×D₅	1	1	yes	characteristic
1247	#97	—	5	1	no	—
1248	#97	—	5	1	no	—
1249	#97	—	5	1	no	—
1250	#97	—	5	1	no	—
1251	C₄×C₈	—	5	1	no	—
1252	C₄×C₈	—	5	1	no	—
1253	C₄×C₈	—	5	1	no	—
1254	C₄×C₈	—	5	1	no	—
1255	C₄×C₈	—	5	1	no	—
1256	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1258	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1259	C₂²×C₅	—	4	1	no	—
1260	C₂²×C₅	—	4	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	—	4	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	—	4	1	no	—
1265	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1266	C₂×D₅	—	2	1	no	—
1267	C₂×D₅	—	2	1	no	—
1268	C₂×D₅	—	4	1	no	—
1269	C₂×D₅	—	4	1	no	—
1270	C₂×D₅	—	4	1	no	—
1271	C₂×D₅	—	4	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	8	4	no	—
1275	C₂×D₅	#548	1	2	yes	—
1276	C₄×C₅	—	2	1	no	—
1277	C₄×C₅	—	2	1	no	—
1278	C₄×C₅	—	2	1	no	—
1279	C₄×C₅	—	2	2	no	—
1280	C₄×C₅	—	2	1	no	—
1281	C₄×C₅	—	2	1	no	—
1282	C₄×C₅	—	2	1	no	—
1283	C₄×C₅	—	4	1	no	—
1284	C₄×C₅	—	4	1	no	—
1285	C₄×C₅	—	4	1	no	—
1286	C₄×C₅	—	4	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1289	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1290	Dic₅	—	2	1	no	—
1291	Dic₅	—	2	1	no	—
1292	Dic₅	—	2	1	no	—
1293	Dic₅	—	2	2	no	—
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	4	1	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	#548	1	2	yes	—
1302	Dic₅	#577	1	2	yes	—
1303	C₂⁴	—	10	1	no	—
1304	#41	—	10	2	no	—
1305	#41	—	10	2	no	—
1306	#41	—	10	2	no	—
1307	#41	—	10	2	no	—
1308	#41	—	40	2	no	—
1309	#41	—	40	2	no	—
1310	C₂×Q₈	—	2	1	no	—
1311	C₂×Q₈	—	5	1	no	—
1312	C₂×Q₈	—	5	1	no	—
1313	C₂×Q₈	—	5	1	no	—
1314	C₂×Q₈	—	5	4	no	—
1315	C₂×Q₈	—	5	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	10	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	2	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	5	1	no	—
1330	C₂×D₄	—	5	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	2	no	—
1333	C₂×D₄	—	10	2	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1345	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	5	1	no	—
1349	C₂²×C₄	—	5	1	no	—
1350	C₂²×C₄	—	5	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	—	10	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	40	2	no	—
1363	Q₁₆	—	2	2	no	—
1364	Q₁₆	—	10	2	no	—
1365	Q₁₆	—	10	2	no	—
1366	Q₁₆	—	10	2	no	—
1367	SD₁₆	—	2	2	no	—
1368	SD₁₆	—	2	2	no	—
1369	SD₁₆	—	10	2	no	—
1370	SD₁₆	—	10	2	no	—
1371	SD₁₆	—	10	2	no	—
1372	SD₁₆	—	10	2	no	—
1373	SD₁₆	—	10	2	no	—
1374	SD₁₆	—	10	2	no	—
1375	M₁₆	—	10	2	no	—
1376	M₁₆	—	10	2	no	—
1377	C₂×C₈	—	5	1	no	—
1378	C₂×C₈	—	5	1	no	—
1379	C₂×C₈	—	5	1	no	—
1380	C₂×C₈	—	5	1	no	—
1381	C₂×C₈	—	10	2	no	—
1382	C₂×C₈	—	10	2	no	—
1383	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1384	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1385	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	1	no	—
1398	C₄⋊C₄	—	5	1	no	—
1399	C₄⋊C₄	—	5	1	no	—
1400	C₄⋊C₄	—	5	1	no	—
1401	C₄⋊C₄	—	5	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	5	1	no	—
1406	C₄⋊C₄	—	5	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1443	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1444	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	5	1	no	—
1456	C₂²⋊C₄	—	5	1	no	—
1457	C₂²⋊C₄	—	5	1	no	—
1458	C₂²⋊C₄	—	5	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₄²	—	2	1	no	—
1476	C₄²	—	2	1	no	—
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	5	1	no	—
1481	C₄²	—	5	1	no	—
1482	C₄²	—	5	1	no	—
1483	C₄²	—	5	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	—	10	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	C₂³×D₅	1	1	yes	characteristic
1499	C₄²	C₂³×D₅	1	1	yes	characteristic
1500	C₄²	C₂³×D₅	1	1	yes	characteristic
1501	C₂×C₅	—	8	1	no	—
1502	C₂×C₅	—	8	1	no	—
1503	C₂×C₅	C₂×#548	1	1	yes	characteristic
1504	C₂×C₅	C₂×#577	1	1	yes	characteristic
1505	C₂×C₅	#3584	1	1	yes	characteristic
1506	D₅	—	2	2	no	—
1507	D₅	—	8	1	no	—
1508	D₅	—	8	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	5	1	no	—
1512	C₂³	—	10	1	no	—
1513	C₂³	—	10	1	no	—
1514	C₂³	—	20	2	no	—
1515	C₂³	—	40	1	no	—
1516	C₂³	—	40	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	4	1	no	—
1521	Q₈	—	5	2	no	—
1522	Q₈	—	8	1	no	—
1523	Q₈	—	10	4	no	—
1524	Q₈	—	10	2	no	—
1525	Q₈	—	10	2	no	—
1526	Q₈	—	10	1	no	—
1527	Q₈	—	10	1	no	—
1528	Q₈	—	10	1	no	—
1529	Q₈	—	20	1	no	—
1530	Q₈	—	20	2	no	—
1531	Q₈	—	40	1	no	—
1532	Q₈	—	40	1	no	—
1533	Q₈	—	40	1	no	—
1534	Q₈	—	40	1	no	—
1535	Q₈	D₅×#41	1	2	yes	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	8	1	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	10	1	no	—
1543	D₄	—	10	1	no	—
1544	D₄	—	10	1	no	—
1545	D₄	—	10	1	no	—
1546	D₄	—	20	2	no	—
1547	D₄	—	20	2	no	—
1548	D₄	—	20	2	no	—
1549	D₄	—	20	2	no	—
1550	D₄	—	40	1	no	—
1551	D₄	—	40	1	no	—
1552	D₄	—	40	1	no	—
1553	D₄	—	40	1	no	—
1554	D₄	—	40	1	no	—
1555	D₄	—	40	1	no	—
1556	D₄	—	40	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	5	1	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	2	no	—
1566	C₂×C₄	—	5	2	no	—
1567	C₂×C₄	—	5	1	no	—
1568	C₂×C₄	—	5	1	no	—
1569	C₂×C₄	—	5	1	no	—
1570	C₂×C₄	—	5	1	no	—
1571	C₂×C₄	—	5	1	no	—
1572	C₂×C₄	—	8	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	10	2	no	—
1575	C₂×C₄	—	10	4	no	—
1576	C₂×C₄	—	10	1	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	10	1	no	—
1580	C₂×C₄	—	10	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	20	1	no	—
1583	C₂×C₄	—	20	2	no	—
1584	C₂×C₄	—	20	2	no	—
1585	C₂×C₄	—	20	2	no	—
1586	C₂×C₄	—	20	2	no	—
1587	C₂×C₄	—	40	1	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	—	40	1	no	—
1592	C₂×C₄	—	40	1	no	—
1593	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1594	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1598	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1599	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	10	1	no	—
1605	C₈	—	10	1	no	—
1606	C₈	—	10	1	no	—
1607	C₈	—	10	1	no	—
1608	C₅	#61327	1	1	yes	characteristic, complemented, Sylow
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	5	2	no	—
1616	C₂²	—	10	1	no	—
1617	C₂²	—	10	1	no	—
1618	C₂²	—	20	1	no	—
1619	C₂²	—	20	1	no	—
1620	C₂²	—	20	1	no	—
1621	C₂²	—	20	1	no	—
1622	C₂²	—	20	1	no	—
1623	C₂²	—	20	1	no	—
1624	C₂²	—	40	4	no	—
1625	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1626	C₄	—	2	2	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	5	2	no	—
1639	C₄	—	5	2	no	—
1640	C₄	—	10	2	no	—
1641	C₄	—	10	1	no	—
1642	C₄	—	10	1	no	—
1643	C₄	—	10	1	no	—
1644	C₄	—	10	1	no	—
1645	C₄	—	10	1	no	—
1646	C₄	—	20	1	no	—
1647	C₄	—	20	1	no	—
1648	C₄	—	20	1	no	—
1649	C₄	—	20	1	no	—
1650	C₄	—	20	1	no	—
1651	C₄	C₂×D₅×#41	1	1	yes	characteristic
1652	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1653	C₂	—	8	1	no	—
1654	C₂	—	8	1	no	—
1655	C₂	—	10	2	no	—
1656	C₂	—	40	1	no	—
1657	C₂	—	40	1	no	—
1658	C₂	D₅×#548	1	1	yes	characteristic
1659	C₂	#10619088	1	1	yes	characteristic
1660	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×#3365	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618964	C₂
hypercenter	#3365	D₅
hypocenter	C₅	#61327
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3365

Complements

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

N	H ≅ G/N	type
2. #10618933	C₂	semidirect
3. C₅×#3365	C₂	semidirect
4. #10615449	C₂	semidirect
5. #10615422	C₂	semidirect
6. #10613369	C₂	semidirect
7. #10613368	C₂	semidirect
8. #10613366	C₂	semidirect
9. #10613365	C₂	semidirect
10. #10613319	C₂	semidirect
11. #10613294	C₂	semidirect
12. #10612934	C₂	semidirect
13. #10612902	C₂	semidirect
14. #10612897	C₂	semidirect
15. #10612884	C₂	semidirect
16. #10612745	C₂	semidirect
17. #10612735	C₂	semidirect
18. #10612331	C₂	semidirect
19. #10612329	C₂	semidirect
20. #10612314	C₂	semidirect
21. #10612313	C₂	semidirect
22. #10612116	C₂	semidirect
23. #10612103	C₂	semidirect
24. #10611666	C₂	semidirect
25. #10611648	C₂	semidirect
26. #10611450	C₂	semidirect
27. #10611431	C₂	semidirect
28. #10611379	C₂	semidirect
29. C₄×D₅×SD₁₆	C₂	semidirect
30. #10611355	C₂	semidirect
31. #10611353	C₂	semidirect
33. C₅×#557	C₂²	semidirect
40. #66056	C₂²	semidirect
49. #66019	C₂²	semidirect
50. #66019	C₂²	semidirect
68. #65903	C₂²	semidirect
69. #65903	C₂²	semidirect
72. #65901	C₂²	semidirect
73. Q₈×Dic₁₀	C₂²	semidirect
81. C₅×#488	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
87. C₅×#464	C₂²	semidirect
89. C₅×C₈×Q₈	C₂²	semidirect
90. C₄×C₅×Q₁₆	C₂²	semidirect
92. C₄×C₅×SD₁₆	C₂²	semidirect
94. #65473	C₂²	semidirect
95. #65471	C₂²	semidirect
97. #65453	C₂²	semidirect
100. #65452	C₂²	semidirect
103. #65373	C₂²	semidirect
106. #65357	C₂²	semidirect
109. #65352	C₂²	semidirect
110. #65345	C₂²	semidirect
113. #65343	C₂²	semidirect
114. #65319	C₂²	semidirect
115. #65319	C₂²	semidirect
117. #65317	C₂²	semidirect
119. #65315	C₂²	semidirect
121. #65313	C₂²	semidirect
122. #65311	C₂²	semidirect
123. #65307	C₂²	semidirect
126. #65297	C₂²	semidirect
128. #65178	C₂²	semidirect
130. #65166	C₂²	semidirect
131. #65160	C₂²	semidirect
133. #65159	C₂²	semidirect
136. #65143	C₂²	semidirect
137. #65142	C₂²	semidirect
139. #65140	C₂²	semidirect
142. #65136	C₂²	semidirect
144. #65134	C₂²	semidirect
148. #65120	C₂²	semidirect
149. #65117	C₂²	semidirect
150. #65117	C₂²	semidirect
157. #65085	C₂²	semidirect
159. #65082	C₂²	semidirect
160. #65081	C₂²	semidirect
161. #65081	C₂²	semidirect
162. #65080	C₂²	semidirect
163. #65079	C₂²	semidirect
164. #65079	C₂²	semidirect
166. #65077	C₂²	semidirect
178. #65052	C₂²	semidirect
181. #65051	C₂²	semidirect
183. #65050	C₂²	semidirect
186. #65049	C₂²	semidirect
187. #65049	C₂²	semidirect
190. #65047	C₂²	semidirect
191. C₄×Dic₂₀	C₂²	semidirect
193. #64986	C₂²	semidirect
196. C₄×#677	C₂²	semidirect
200. C₈×Dic₁₀	C₂²	semidirect
201. C₈×Dic₁₀	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
495. #3365	D₅	semidirect
538. Q₈×D₅	#41	semidirect
729. #557	C₂×D₅	semidirect
774. #488	C₂×D₅	semidirect
794. #478	C₂×D₅	semidirect
804. #475	C₂×D₅	semidirect
818. #464	C₂×D₅	semidirect
838. C₈×Q₈	C₂×D₅	semidirect
850. C₄×Q₁₆	C₂×D₅	semidirect
862. C₄×SD₁₆	C₂×D₅	semidirect
1608. C₅	#61327	semidirect

Maximal subgroups

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

subgroup	index
#10618964	2
#10618933	2
C₅×#3365	2
#10615449	2
#10615422	2
#10613369	2
#10613368	2
#10613366	2
#10613365	2
#10613319	2
#10613294	2
#10612934	2
#10612902	2
#10612897	2
#10612884	2
#10612745	2
#10612735	2
#10612331	2
#10612329	2
#10612314	2
#10612313	2
#10612116	2
#10612103	2
#10611666	2
#10611648	2
#10611450	2
#10611431	2
#10611379	2
C₄×D₅×SD₁₆	2
#10611355	2
#10611353	2
#61327	5