Subgroups — #12982014

Order 1280.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618893	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618836	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3376	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615401	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615359	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613479	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613461	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613429	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613398	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613388	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613359	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612984	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612937	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612926	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612878	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612760	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612732	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612288	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612288	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612242	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612237	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612180	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612144	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611705	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611670	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611612	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611598	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611532	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611509	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611413	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4062	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#556	C₂²	1	1	yes	characteristic, complemented
33	C₅×#554	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4062	C₂²	1	1	yes	characteristic
35	C₂×#4062	C₂²	1	1	yes	characteristic
36	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
37	#66067	C₂²	1	1	yes	characteristic, complemented
38	#66066	C₂²	1	1	yes	characteristic
39	#66065	C₂²	1	1	yes	characteristic
40	#66060	C₂²	1	1	yes	characteristic, complemented
41	#66043	—	2	1	no	—
42	#66042	—	2	1	no	—
43	#66038	—	2	1	no	—
44	D₅×#126	—	2	1	no	—
45	#66031	C₂²	1	1	yes	characteristic
46	#66029	C₂²	1	1	yes	characteristic, complemented
47	#66028	C₂²	1	1	yes	characteristic
48	#66025	C₂²	1	1	yes	characteristic, complemented
49	#66016	C₂²	1	1	yes	characteristic, complemented
50	#66014	C₂²	1	1	yes	characteristic, complemented
51	#66010	C₂²	1	1	yes	characteristic
52	#66010	C₂²	1	1	yes	characteristic
53	#65979	—	2	1	no	—
54	#65978	—	2	1	no	—
55	#65976	—	2	1	no	—
56	#65972	—	2	1	no	—
57	#65971	—	2	1	no	—
58	#65971	—	2	1	no	—
59	#65971	—	2	1	no	—
60	#65958	—	2	1	no	—
61	#65918	C₂²	1	1	yes	characteristic
62	#65918	C₂²	1	1	yes	characteristic, complemented
63	#65915	C₂²	1	1	yes	characteristic
64	#65914	C₂²	1	1	yes	characteristic
65	#65913	C₂²	1	1	yes	characteristic, complemented
66	#65908	C₂²	1	1	yes	characteristic, complemented
67	C₄×#713	C₂²	1	1	yes	characteristic, complemented
68	#65892	C₂²	1	1	yes	characteristic, complemented
69	#65889	C₂²	1	1	yes	characteristic, complemented
70	#65888	C₂²	1	1	yes	characteristic
71	#65888	C₂²	1	1	yes	characteristic
72	#65880	C₂²	1	1	yes	characteristic, complemented
73	#65879	C₂²	1	1	yes	characteristic
74	#65879	C₂²	1	1	yes	characteristic
75	C₄×#711	C₂²	1	1	yes	characteristic, complemented
76	#65862	—	2	1	no	—
77	#65861	—	2	1	no	—
78	#65848	—	2	1	no	—
79	C₂×#4044	—	2	1	no	—
80	C₅×#491	C₂²	1	1	yes	characteristic, complemented
81	C₅×#489	C₂²	1	1	yes	characteristic, complemented
82	C₅×#488	C₂²	1	1	yes	characteristic, complemented
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic
87	C₅×#463	C₂²	1	1	yes	characteristic
88	C₅×#461	C₂²	1	1	yes	characteristic, complemented
89	C₅×#446	C₂²	1	1	yes	characteristic, complemented
90	C₅×#442	C₂²	1	1	yes	characteristic
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
93	#65462	C₂²	1	1	yes	characteristic, complemented
94	#65462	C₂²	1	1	yes	characteristic, complemented
95	#65458	C₂²	1	1	yes	characteristic
96	#65458	C₂²	1	1	yes	characteristic
97	#65453	C₂²	1	1	yes	characteristic, complemented
98	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
99	#65447	C₂²	1	1	yes	characteristic
100	#65447	C₂²	1	1	yes	characteristic
101	#65441	C₂²	1	1	yes	characteristic
102	#65381	C₂²	1	1	yes	characteristic, complemented
103	#65373	C₂²	1	1	yes	characteristic, complemented
104	#65372	C₂²	1	1	yes	characteristic, complemented
105	#65367	C₂²	1	1	yes	characteristic, complemented
106	#65355	C₂²	1	1	yes	characteristic, complemented
107	#65355	C₂²	1	1	yes	characteristic, complemented
108	#65353	C₂²	1	1	yes	characteristic, complemented
109	#65353	C₂²	1	1	yes	characteristic, complemented
110	#65348	C₂²	1	1	yes	characteristic
111	#65348	C₂²	1	1	yes	characteristic
112	#65343	C₂²	1	1	yes	characteristic, complemented
113	#65343	C₂²	1	1	yes	characteristic, complemented
114	C₄×#689	C₂²	1	1	yes	characteristic, complemented
115	C₄×#689	C₂²	1	1	yes	characteristic, complemented
116	#65317	C₂²	1	1	yes	characteristic, complemented
117	#65317	C₂²	1	1	yes	characteristic, complemented
118	Q₈×#168	C₂²	1	1	yes	characteristic, complemented
119	#65308	C₂²	1	1	yes	characteristic, complemented
120	C₄×#686	C₂²	1	1	yes	characteristic
121	C₄×#686	C₂²	1	1	yes	characteristic
122	C₄×#686	C₂²	1	1	yes	characteristic
123	C₄×#686	C₂²	1	1	yes	characteristic
124	#65298	C₂²	1	1	yes	characteristic, complemented
125	#65298	C₂²	1	1	yes	characteristic, complemented
126	#65297	C₂²	1	1	yes	characteristic, complemented
127	#65178	C₂²	1	1	yes	characteristic, complemented
128	#65177	C₂²	1	1	yes	characteristic
129	#65174	C₂²	1	1	yes	characteristic, complemented
130	D₅×#107	C₂²	1	1	yes	characteristic, complemented
131	#65158	C₂²	1	1	yes	characteristic
132	#65156	C₂²	1	1	yes	characteristic
133	#65156	C₂²	1	1	yes	characteristic, complemented
134	#65152	C₂²	1	1	yes	characteristic, complemented
135	#65151	C₂²	1	1	yes	characteristic, complemented
136	#65149	C₂²	1	1	yes	characteristic
137	#65149	C₂²	1	1	yes	characteristic, complemented
138	#65141	C₂²	1	1	yes	characteristic, complemented
139	#65140	C₂²	1	1	yes	characteristic, complemented
140	#65136	C₂²	1	1	yes	characteristic, complemented
141	#65133	C₂²	1	1	yes	characteristic
142	#65133	C₂²	1	1	yes	characteristic
143	#65130	C₂²	1	1	yes	characteristic, complemented
144	#65129	C₂²	1	1	yes	characteristic
145	#65129	C₂²	1	1	yes	characteristic, complemented
146	#65124	C₂²	1	1	yes	characteristic, complemented
147	#65123	C₂²	1	1	yes	characteristic
148	#65123	C₂²	1	1	yes	characteristic
149	#65123	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65106	C₂²	1	1	yes	characteristic, complemented
152	#65105	C₂²	1	1	yes	characteristic
153	#65105	C₂²	1	1	yes	characteristic
154	#65104	C₂²	1	1	yes	characteristic
155	#65104	C₂²	1	1	yes	characteristic, complemented
156	#65103	C₂²	1	1	yes	characteristic
157	#65102	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic, complemented
160	#65102	C₂²	1	1	yes	characteristic, complemented
161	#65101	C₂²	1	1	yes	characteristic, complemented
162	#65100	C₂²	1	1	yes	characteristic
163	#65100	C₂²	1	1	yes	characteristic
164	#65099	C₂²	1	1	yes	characteristic, complemented
165	#65099	C₂²	1	1	yes	characteristic, complemented
166	#65096	C₂²	1	1	yes	characteristic, complemented
167	#65094	C₂²	1	1	yes	characteristic, complemented
168	#65093	C₂²	1	1	yes	characteristic, complemented
169	#65092	C₂²	1	1	yes	characteristic, complemented
170	#65079	C₂²	1	1	yes	characteristic, complemented
171	#65079	C₂²	1	1	yes	characteristic, complemented
172	#65078	C₂²	1	1	yes	characteristic, complemented
173	#65078	C₂²	1	1	yes	characteristic, complemented
174	#65077	C₂²	1	1	yes	characteristic, complemented
175	#65073	C₂²	1	1	yes	characteristic, complemented
176	#65069	C₂²	1	1	yes	characteristic, complemented
177	#65067	C₂²	1	1	yes	characteristic, complemented
178	#65066	C₂²	1	1	yes	characteristic, complemented
179	#65065	C₂²	1	1	yes	characteristic
180	#65065	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic
182	#65064	C₂²	1	1	yes	characteristic
183	#65061	C₂²	1	1	yes	characteristic, complemented
184	#65060	C₂²	1	1	yes	characteristic, complemented
185	#65059	C₂²	1	1	yes	characteristic
186	#65059	C₂²	1	1	yes	characteristic
187	#65047	C₂²	1	1	yes	characteristic, complemented
188	#65046	C₂²	1	1	yes	characteristic, complemented
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65003	C₂²	1	1	yes	characteristic, complemented
192	#65000	C₂²	1	1	yes	characteristic
193	#64999	C₂²	1	1	yes	characteristic, complemented
194	#64997	C₂²	1	1	yes	characteristic
195	#64997	C₂²	1	1	yes	characteristic, complemented
196	#64995	C₂²	1	1	yes	characteristic
197	#64995	C₂²	1	1	yes	characteristic, complemented
198	#64992	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64977	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	#61487	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×#711	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×#126	—	2	1	no	—
216	C₅×#126	—	2	1	no	—
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#124	C₂³	1	1	yes	characteristic
220	C₅×#124	C₂³	1	1	yes	characteristic
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₅×#117	—	2	1	no	—
233	C₂×C₅×C₄⋊C₄	—	2	1	no	—
234	#4093	—	2	1	no	—
235	#4093	—	2	1	no	—
236	#4093	D₄	1	1	yes	characteristic
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	D₄	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	#4092	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	—	2	1	no	—
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	C₂×#689	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	#4084	C₂³	1	1	yes	characteristic
255	#4084	C₂³	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	D₄×Dic₅	C₂³	1	1	yes	characteristic
258	C₂×#687	C₂³	1	1	yes	characteristic
259	C₂×#687	C₂³	1	1	yes	characteristic
260	C₂×#686	C₂³	1	1	yes	characteristic
261	C₂×#686	C₂³	1	1	yes	characteristic
262	#4076	—	2	1	no	—
263	#4076	—	2	1	no	—
264	#4076	—	2	1	no	—
265	#4075	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₂×#685	—	2	1	no	—
272	C₂×#685	—	2	1	no	—
273	C₂×#685	—	2	1	no	—
274	C₂×#685	—	2	1	no	—
275	C₂×C₄⋊Dic₅	—	2	1	no	—
276	C₂×#683	—	2	1	no	—
277	C₂×C₄×Dic₅	—	2	1	no	—
278	#4062	—	2	4	no	—
279	#4062	—	2	4	no	—
280	D₅×D₈	—	2	4	no	—
281	C₂×D₄₀	C₂³	1	1	yes	characteristic
282	C₂×#677	C₂³	1	1	yes	characteristic
283	C₂×#677	C₂³	1	1	yes	characteristic
284	C₂×#676	C₂³	1	1	yes	characteristic
285	C₂×#676	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
290	#4044	—	2	1	no	—
291	#4044	—	2	1	no	—
292	#4044	—	2	1	no	—
293	#4044	—	2	1	no	—
294	#4044	—	2	1	no	—
295	#4044	—	2	1	no	—
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4044	D₄	1	1	yes	characteristic
305	#4044	D₄	1	1	yes	characteristic
306	#4043	C₂³	1	1	yes	characteristic
307	#4043	C₂³	1	1	yes	characteristic
308	#4043	C₂³	1	1	yes	characteristic
309	#4043	C₂³	1	1	yes	characteristic
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4041	—	2	1	no	—
313	#4041	—	2	1	no	—
314	#4041	D₄	1	1	yes	characteristic
315	#4041	C₂³	1	1	yes	characteristic
316	#4041	C₂³	1	1	yes	characteristic
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	D₄	1	1	yes	characteristic
325	#4040	D₄	1	1	yes	characteristic
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	—	2	1	no	—
329	#4039	—	2	1	no	—
330	#4039	C₂³	1	1	yes	characteristic
331	#4039	C₂³	1	1	yes	characteristic
332	#4038	—	2	1	no	—
333	#4038	—	2	1	no	—
334	#4038	—	2	1	no	—
335	#4038	—	2	1	no	—
336	#4038	C₂³	1	1	yes	characteristic
337	#4038	C₂³	1	1	yes	characteristic
338	#4038	C₂³	1	1	yes	characteristic
339	#4038	C₂³	1	1	yes	characteristic
340	D₅×C₄⋊C₄	—	2	1	no	—
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
345	#4036	—	2	1	no	—
346	#4036	—	2	1	no	—
347	#4036	—	2	1	no	—
348	#4036	D₄	1	1	yes	characteristic
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4033	C₂³	1	1	yes	characteristic
353	#4033	C₂³	1	1	yes	characteristic
354	#4032	—	2	1	no	—
355	#4032	—	2	1	no	—
356	#4032	—	2	1	no	—
357	#4032	—	2	1	no	—
358	#4032	—	2	1	no	—
359	#4031	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4030	—	2	1	no	—
362	#4030	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4029	—	2	1	no	—
365	#4029	—	2	1	no	—
366	#4028	—	2	1	no	—
367	#4028	—	2	1	no	—
368	#4028	—	2	1	no	—
369	#4028	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	D₅×C₂²⋊C₄	—	2	1	no	—
378	D₅×C₂²⋊C₄	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4025	—	2	1	no	—
382	#4024	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4023	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4022	—	2	1	no	—
387	#4021	—	2	1	no	—
388	#4021	C₂³	1	1	yes	characteristic
389	#4021	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	—	2	1	no	—
391	C₄×D₂₀	—	2	1	no	—
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	1	yes	characteristic
398	C₄×D₂₀	C₂³	1	1	yes	characteristic
399	#4018	—	2	1	no	—
400	#4018	—	2	1	no	—
401	#4018	C₂³	1	1	yes	characteristic
402	#4018	C₂³	1	1	yes	characteristic
403	C₄²×D₅	—	2	1	no	—
404	C₄²×D₅	C₂³	1	1	yes	characteristic
405	#4016	C₂³	1	1	yes	characteristic
406	#4016	C₂³	1	1	yes	characteristic
407	#4015	C₂³	1	1	yes	characteristic
408	#4015	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#107	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#103	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×#102	C₂³	1	1	yes	characteristic
428	C₅×#97	C₂³	1	1	yes	characteristic
429	C₅×#97	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	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	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3949	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3947	C₂³	1	1	yes	characteristic
457	#3947	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	#3941	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	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	#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	C₄×#168	C₂³	1	1	yes	characteristic
480	C₄×#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3521	—	5	1	no	—
483	#3521	—	5	1	no	—
484	#3393	—	5	1	no	—
485	#3380	—	5	1	no	—
486	#3376	—	5	1	no	—
487	#3376	D₅	1	1	yes	characteristic, complemented
488	#3342	—	5	1	no	—
489	#3339	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3323	—	5	1	no	—
492	#3323	—	5	1	no	—
493	#3311	—	5	1	no	—
494	#3311	—	5	1	no	—
495	#3307	—	5	1	no	—
496	#3307	—	5	1	no	—
497	#3283	—	5	1	no	—
498	#3280	—	5	1	no	—
499	#3280	—	5	1	no	—
500	#3177	—	5	1	no	—
501	#3175	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3125	—	5	1	no	—
504	#3125	—	5	1	no	—
505	#3123	—	5	1	no	—
506	#3123	—	5	1	no	—
507	#3111	—	5	1	no	—
508	#3111	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2951	—	5	1	no	—
511	#2948	—	5	1	no	—
512	C₄×#135	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂³×D₅	—	2	1	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	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	C₂²×Dic₅	—	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	#713	—	4	1	no	—
538	#713	—	4	1	no	—
539	#711	—	2	2	no	—
540	#711	—	2	2	no	—
541	#711	—	4	1	no	—
542	#711	—	4	1	no	—
543	D₄×D₅	—	2	2	no	—
544	D₄×D₅	—	2	2	no	—
545	D₄×D₅	—	4	1	no	—
546	D₄×D₅	—	4	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
552	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
553	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₅×SD₁₆	—	2	2	no	—
575	C₅×SD₁₆	—	2	2	no	—
576	C₅×D₈	—	2	2	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
590	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂×D₄	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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₄²×C₅	—	2	1	no	—
606	C₄²×C₅	—	2	1	no	—
607	C₄²×C₅	C₂⁴	1	1	yes	characteristic
608	C₄²×C₅	C₂⁴	1	1	yes	characteristic
609	C₄²×C₅	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	#689	—	2	2	no	—
615	#689	—	2	2	no	—
616	#689	—	4	1	no	—
617	#689	—	4	1	no	—
618	#688	—	4	1	no	—
619	#688	—	4	1	no	—
620	#687	—	4	1	no	—
621	#687	—	4	1	no	—
622	#686	—	2	2	no	—
623	#686	#41	1	4	yes	—
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	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	C₂×D₄	1	1	yes	characteristic
649	#685	C₂×D₄	1	1	yes	characteristic
650	#685	C₂×D₄	1	1	yes	characteristic
651	#685	C₂×D₄	1	1	yes	characteristic
652	#685	C₂×D₄	1	1	yes	characteristic
653	#685	C₂×D₄	1	1	yes	characteristic
654	#685	C₂×D₄	1	1	yes	characteristic
655	#685	C₂×D₄	1	1	yes	characteristic
656	#685	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	C₂×#168	C₂⁴	1	1	yes	characteristic
708	C₂×#168	C₂⁴	1	1	yes	characteristic
709	D₄₀	—	2	2	no	—
710	#677	—	2	2	no	—
711	#677	—	2	2	no	—
712	#676	—	4	1	no	—
713	#676	—	4	1	no	—
714	C₈×D₅	—	2	2	no	—
715	C₈×D₅	—	2	2	no	—
716	C₈×D₅	—	2	2	no	—
717	C₈×D₅	—	4	1	no	—
718	C₂×#135	—	5	1	no	—
719	C₂×#135	—	5	1	no	—
720	C₂²×D₈	—	5	1	no	—
721	#556	—	5	1	no	—
722	#556	—	5	1	no	—
723	#556	—	5	1	no	—
724	#556	C₂×D₅	1	1	yes	characteristic, complemented
725	#554	—	5	1	no	—
726	#554	C₂×D₅	1	1	yes	characteristic, complemented
727	#553	—	5	1	no	—
728	#553	—	5	1	no	—
729	#553	—	10	1	no	—
730	#553	—	10	1	no	—
731	#552	—	5	1	no	—
732	#552	—	5	1	no	—
733	#552	—	10	1	no	—
734	#552	—	10	1	no	—
735	#551	—	10	1	no	—
736	#551	—	10	1	no	—
737	#551	—	10	1	no	—
738	#551	—	10	1	no	—
739	#547	—	5	1	no	—
740	#547	—	5	1	no	—
741	#546	—	5	1	no	—
742	#546	—	5	1	no	—
743	#546	—	5	1	no	—
744	#546	—	5	1	no	—
745	#542	—	5	1	no	—
746	#542	—	5	1	no	—
747	#541	—	5	1	no	—
748	#541	—	5	1	no	—
749	#539	—	10	1	no	—
750	#539	—	10	1	no	—
751	#538	—	10	1	no	—
752	#538	—	10	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	C₂×#126	—	10	1	no	—
759	C₂×#126	—	10	1	no	—
760	#520	—	5	1	no	—
761	#520	—	5	1	no	—
762	#518	—	5	1	no	—
763	#518	—	5	1	no	—
764	C₄×#41	—	5	1	no	—
765	C₄×#41	—	5	1	no	—
766	#500	—	5	1	no	—
767	#499	—	5	1	no	—
768	#499	—	5	1	no	—
769	#495	—	5	1	no	—
770	#495	—	5	1	no	—
771	#494	—	5	1	no	—
772	#491	—	5	1	no	—
773	#491	C₂×D₅	1	1	yes	characteristic, complemented
774	#489	—	5	1	no	—
775	#489	C₂×D₅	1	1	yes	characteristic, complemented
776	#488	—	5	1	no	—
777	#488	C₂×D₅	1	1	yes	characteristic, complemented
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#483	—	5	1	no	—
785	#483	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#481	—	5	1	no	—
789	#481	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	C₂×D₅	1	1	yes	characteristic, complemented
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	C₂×D₅	1	1	yes	characteristic, complemented
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	C₂×D₅	1	1	yes	characteristic, complemented
802	#470	—	5	1	no	—
803	#470	—	5	1	no	—
804	#468	—	5	1	no	—
805	#468	—	5	1	no	—
806	#467	—	5	1	no	—
807	#467	—	5	1	no	—
808	#467	—	5	1	no	—
809	#467	—	5	1	no	—
810	#466	—	5	1	no	—
811	#466	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	C₂×D₅	1	1	yes	characteristic
821	#463	C₂×D₅	1	1	yes	characteristic
822	#461	—	5	1	no	—
823	#461	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	C₂×D₅	1	1	yes	characteristic, complemented
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#450	—	5	1	no	—
831	#450	—	5	1	no	—
832	#450	—	5	1	no	—
833	#450	—	5	1	no	—
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#449	—	5	1	no	—
837	#449	—	5	1	no	—
838	#446	C₂×D₅	1	1	yes	characteristic, complemented
839	C₈×Q₈	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	C₂×D₅	1	1	yes	characteristic
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	C₂×D₅	1	1	yes	characteristic, complemented
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	—	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, complemented
862	C₄×D₈	—	5	1	no	—
863	C₄×D₈	—	5	1	no	—
864	C₄×D₈	—	5	1	no	—
865	C₄×D₈	—	5	1	no	—
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	#436	—	5	1	no	—
869	#435	—	5	1	no	—
870	#435	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#432	—	5	1	no	—
877	#427	—	5	1	no	—
878	#427	—	5	1	no	—
879	C₂×#107	—	5	1	no	—
880	#418	—	5	1	no	—
881	#418	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	#416	—	5	1	no	—
885	#416	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	C₂×C₄×C₈	—	5	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂³×C₅	—	2	1	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	—	2	1	no	—
893	C₂²×D₅	—	4	2	no	—
894	C₂²×D₅	—	4	2	no	—
895	C₂²×D₅	—	8	1	no	—
896	C₂²×D₅	—	8	1	no	—
897	C₂²×D₅	—	8	1	no	—
898	C₂²×D₅	—	8	1	no	—
899	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
900	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
901	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
902	C₅×Q₈	—	2	1	no	—
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	2	1	no	—
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	4	1	no	—
907	C₅×Q₈	—	8	1	no	—
908	C₅×D₄	—	2	1	no	—
909	C₅×D₄	—	2	1	no	—
910	C₅×D₄	—	2	1	no	—
911	C₅×D₄	C₂×#41	1	2	yes	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	8	1	no	—
919	C₂×C₄×C₅	—	8	1	no	—
920	C₂×C₄×C₅	—	8	1	no	—
921	C₂×C₄×C₅	—	8	1	no	—
922	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
929	C₂²⋊D₅	—	4	2	no	—
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	—	4	2	no	—
932	C₂²⋊D₅	—	4	2	no	—
933	C₂²⋊D₅	—	8	1	no	—
934	C₂²⋊D₅	—	8	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	1	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	4	2	no	—
942	C₂×Dic₅	—	4	2	no	—
943	C₂×Dic₅	—	8	1	no	—
944	C₂×Dic₅	—	8	1	no	—
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	D₂₀	—	2	1	no	—
951	D₂₀	—	2	1	no	—
952	D₂₀	—	2	1	no	—
953	D₂₀	—	4	1	no	—
954	D₂₀	—	4	1	no	—
955	D₂₀	—	4	1	no	—
956	D₂₀	—	4	2	no	—
957	D₂₀	—	4	2	no	—
958	D₂₀	—	8	1	no	—
959	D₂₀	—	8	1	no	—
960	D₂₀	C₂×#41	1	2	yes	—
961	C₄×D₅	—	2	1	no	—
962	C₄×D₅	—	2	1	no	—
963	C₄×D₅	—	2	1	no	—
964	C₄×D₅	—	2	1	no	—
965	C₄×D₅	—	2	1	no	—
966	C₄×D₅	—	2	1	no	—
967	C₄×D₅	—	4	1	no	—
968	C₄×D₅	—	4	1	no	—
969	C₄×D₅	—	4	2	no	—
970	C₄×D₅	—	4	2	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	Dic₁₀	—	2	1	no	—
980	Dic₁₀	—	2	1	no	—
981	Dic₁₀	—	2	1	no	—
982	Dic₁₀	—	2	1	no	—
983	Dic₁₀	—	8	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	—	2	1	no	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	C₂×#41	1	2	yes	—
992	C₂×#41	—	5	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	—	5	1	no	—
995	C₂×#41	—	5	1	no	—
996	C₂²×D₄	—	5	1	no	—
997	C₂²×D₄	—	5	1	no	—
998	#135	—	10	4	no	—
999	#135	—	10	4	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	no	—
1002	C₂×Q₁₆	—	5	1	no	—
1003	C₂×Q₁₆	—	5	1	no	—
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	—	5	1	no	—
1006	C₂×SD₁₆	—	5	1	no	—
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1011	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1012	C₂×D₈	—	5	1	no	—
1013	C₂×D₈	—	5	1	no	—
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	10	4	no	—
1016	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂²×C₈	—	5	1	no	—
1020	C₂²×C₈	—	5	1	no	—
1021	C₂²×C₈	—	5	1	no	—
1022	C₂²×C₈	—	5	1	no	—
1023	C₄⋊Q₈	—	5	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1026	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	5	1	no	—
1030	#126	—	5	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#126	—	10	1	no	—
1046	#126	—	10	1	no	—
1047	#126	—	10	1	no	—
1048	#126	—	10	1	no	—
1049	#125	—	5	1	no	—
1050	#125	—	5	1	no	—
1051	#125	—	5	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	C₂²×D₅	1	1	yes	characteristic
1059	#125	C₂²×D₅	1	1	yes	characteristic
1060	#124	—	5	1	no	—
1061	#124	—	5	1	no	—
1062	#124	—	5	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	C₂²×D₅	1	1	yes	characteristic
1068	#124	C₂²×D₅	1	1	yes	characteristic
1069	#123	—	5	1	no	—
1070	#123	—	5	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	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	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	#123	—	10	1	no	—
1084	#123	—	10	1	no	—
1085	#123	—	10	1	no	—
1086	#123	—	10	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	5	1	no	—
1092	C₂²⋊Q₈	—	5	1	no	—
1093	C₂²⋊Q₈	—	5	1	no	—
1094	C₂²⋊Q₈	—	5	1	no	—
1095	C₂²⋊Q₈	—	5	1	no	—
1096	C₂²⋊Q₈	—	5	1	no	—
1097	C₂²⋊Q₈	—	5	1	no	—
1098	C₂²⋊Q₈	—	5	1	no	—
1099	C₂²⋊Q₈	—	5	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	—	10	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#120	—	10	1	no	—
1120	#120	—	10	1	no	—
1121	#120	—	10	1	no	—
1122	#120	—	10	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	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	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1164	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1165	#117	—	2	1	no	—
1166	#117	—	5	1	no	—
1167	#117	—	5	1	no	—
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	C₂×C₄⋊C₄	—	2	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	5	1	no	—
1184	C₂×C₄⋊C₄	—	10	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	—	10	1	no	—
1188	C₂×C₄⋊C₄	—	10	1	no	—
1189	C₂×C₂²⋊C₄	—	10	1	no	—
1190	C₂×C₂²⋊C₄	—	10	1	no	—
1191	C₂×C₂²⋊C₄	—	10	1	no	—
1192	C₂×C₂²⋊C₄	—	10	1	no	—
1193	C₂×C₂²⋊C₄	—	10	1	no	—
1194	C₂×C₂²⋊C₄	—	10	1	no	—
1195	C₂×C₂²⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₄²	—	5	1	no	—
1198	C₂×C₄²	—	10	1	no	—
1199	C₂×C₄²	—	10	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	—	5	1	no	—
1207	#107	C₂²×D₅	1	1	yes	characteristic
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	—	5	1	no	—
1213	#106	—	5	1	no	—
1214	#106	C₂²×D₅	1	1	yes	characteristic
1215	#106	C₂²×D₅	1	1	yes	characteristic
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1220	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1221	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#103	C₂²×D₅	1	1	yes	characteristic
1234	#103	C₂²×D₅	1	1	yes	characteristic
1235	#103	C₂²×D₅	1	1	yes	characteristic
1236	#103	C₂²×D₅	1	1	yes	characteristic
1237	#103	C₂²×D₅	1	1	yes	characteristic
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	C₂²×D₅	1	1	yes	characteristic
1251	#102	C₂²×D₅	1	1	yes	characteristic
1252	#102	C₂²×D₅	1	1	yes	characteristic
1253	#102	C₂²×D₅	1	1	yes	characteristic
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	—	5	1	no	—
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	C₂²×D₅	1	1	yes	characteristic
1263	#97	C₂²×D₅	1	1	yes	characteristic
1264	C₄×C₈	—	5	1	no	—
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1270	C₂²×C₅	—	2	2	no	—
1271	C₂²×C₅	—	4	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	—	4	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	2	1	no	—
1280	C₂×D₅	—	2	1	no	—
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	2	1	no	—
1283	C₂×D₅	—	2	1	no	—
1284	C₂×D₅	—	2	1	no	—
1285	C₂×D₅	—	2	1	no	—
1286	C₂×D₅	—	2	2	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	4	1	no	—
1290	C₂×D₅	—	4	1	no	—
1291	C₂×D₅	—	4	1	no	—
1292	C₂×D₅	—	16	2	no	—
1293	C₂×D₅	—	16	2	no	—
1294	C₄×C₅	—	2	1	no	—
1295	C₄×C₅	—	2	1	no	—
1296	C₄×C₅	—	2	1	no	—
1297	C₄×C₅	—	2	1	no	—
1298	C₄×C₅	—	2	1	no	—
1299	C₄×C₅	—	2	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	—	4	1	no	—
1302	C₄×C₅	—	4	1	no	—
1303	C₄×C₅	—	4	1	no	—
1304	C₄×C₅	—	4	1	no	—
1305	C₄×C₅	—	4	1	no	—
1306	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1307	C₄×C₅	#585	1	1	yes	characteristic
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	2	1	no	—
1311	Dic₅	—	2	1	no	—
1312	Dic₅	—	2	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	—	4	1	no	—
1318	Dic₅	—	4	1	no	—
1319	C₂⁴	—	10	1	no	—
1320	C₂⁴	—	10	1	no	—
1321	#41	—	10	2	no	—
1322	#41	—	10	2	no	—
1323	#41	—	10	2	no	—
1324	#41	—	10	2	no	—
1325	#41	—	20	1	no	—
1326	#41	—	20	1	no	—
1327	#41	—	20	1	no	—
1328	#41	—	20	1	no	—
1329	C₂×Q₈	—	2	1	no	—
1330	C₂×Q₈	—	5	1	no	—
1331	C₂×Q₈	—	5	1	no	—
1332	C₂×Q₈	—	10	1	no	—
1333	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1334	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1335	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×D₄	—	5	1	no	—
1337	C₂×D₄	—	5	1	no	—
1338	C₂×D₄	—	5	1	no	—
1339	C₂×D₄	—	5	1	no	—
1340	C₂×D₄	—	5	1	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	2	no	—
1348	C₂×D₄	—	10	2	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	20	1	no	—
1354	C₂×D₄	—	20	1	no	—
1355	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1356	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1357	C₂²×C₄	—	2	1	no	—
1358	C₂²×C₄	—	2	1	no	—
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	5	1	no	—
1362	C₂²×C₄	—	5	1	no	—
1363	C₂²×C₄	—	5	1	no	—
1364	C₂²×C₄	—	5	1	no	—
1365	C₂²×C₄	—	5	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	Q₁₆	—	10	2	no	—
1381	Q₁₆	—	10	2	no	—
1382	Q₁₆	—	20	1	no	—
1383	Q₁₆	—	20	1	no	—
1384	SD₁₆	—	2	2	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	10	2	no	—
1387	SD₁₆	—	10	2	no	—
1388	SD₁₆	—	20	1	no	—
1389	SD₁₆	—	20	1	no	—
1390	SD₁₆	—	20	1	no	—
1391	SD₁₆	—	20	1	no	—
1392	D₈	—	2	2	no	—
1393	D₈	—	5	4	no	—
1394	D₈	—	10	2	no	—
1395	D₈	—	10	2	no	—
1396	M₁₆	—	20	1	no	—
1397	M₁₆	—	20	1	no	—
1398	C₂×C₈	—	5	1	no	—
1399	C₂×C₈	—	5	1	no	—
1400	C₂×C₈	—	5	1	no	—
1401	C₂×C₈	—	5	1	no	—
1402	C₂×C₈	—	10	2	no	—
1403	C₂×C₈	—	10	2	no	—
1404	C₂×C₈	—	10	2	no	—
1405	C₂×C₈	—	20	1	no	—
1406	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1407	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1408	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	5	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	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1454	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1455	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1456	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1457	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1458	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1459	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	5	1	no	—
1469	C₂²⋊C₄	—	5	1	no	—
1470	C₂²⋊C₄	—	5	1	no	—
1471	C₂²⋊C₄	—	5	1	no	—
1472	C₂²⋊C₄	—	5	1	no	—
1473	C₂²⋊C₄	—	5	1	no	—
1474	C₂²⋊C₄	—	5	1	no	—
1475	C₂²⋊C₄	—	5	1	no	—
1476	C₂²⋊C₄	—	5	1	no	—
1477	C₂²⋊C₄	—	5	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	5	1	no	—
1510	C₄²	—	5	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	C₂³×D₅	1	1	yes	characteristic
1522	C₄²	C₂³×D₅	1	1	yes	characteristic
1523	C₄²	C₂³×D₅	1	1	yes	characteristic
1524	C₂×C₅	—	4	2	no	—
1525	C₂×C₅	—	8	1	no	—
1526	C₂×C₅	D₄×#41	1	1	yes	characteristic
1527	C₂×C₅	#3584	1	1	yes	characteristic
1528	C₂×C₅	#3584	1	1	yes	characteristic
1529	D₅	—	4	1	no	—
1530	D₅	—	4	1	no	—
1531	D₅	—	4	1	no	—
1532	D₅	—	4	2	no	—
1533	D₅	—	8	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	2	1	no	—
1536	C₂³	—	5	1	no	—
1537	C₂³	—	5	1	no	—
1538	C₂³	—	5	1	no	—
1539	C₂³	—	10	1	no	—
1540	C₂³	—	10	1	no	—
1541	C₂³	—	20	2	no	—
1542	C₂³	—	20	2	no	—
1543	C₂³	—	40	1	no	—
1544	C₂³	—	40	1	no	—
1545	C₂³	—	40	1	no	—
1546	C₂³	—	40	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	4	1	no	—
1552	Q₈	—	8	1	no	—
1553	Q₈	—	10	1	no	—
1554	Q₈	—	10	1	no	—
1555	Q₈	—	10	1	no	—
1556	Q₈	—	10	1	no	—
1557	Q₈	—	40	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	5	2	no	—
1562	D₄	—	10	1	no	—
1563	D₄	—	10	1	no	—
1564	D₄	—	10	1	no	—
1565	D₄	—	20	1	no	—
1566	D₄	—	20	1	no	—
1567	D₄	—	20	1	no	—
1568	D₄	—	20	2	no	—
1569	D₄	—	20	2	no	—
1570	D₄	—	20	2	no	—
1571	D₄	—	20	2	no	—
1572	D₄	—	20	2	no	—
1573	D₄	—	20	2	no	—
1574	D₄	—	40	1	no	—
1575	D₄	—	40	1	no	—
1576	D₄	—	40	1	no	—
1577	D₄	—	40	1	no	—
1578	D₄	D₅×#41	1	2	yes	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	5	1	no	—
1586	C₂×C₄	—	5	1	no	—
1587	C₂×C₄	—	5	1	no	—
1588	C₂×C₄	—	5	1	no	—
1589	C₂×C₄	—	5	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	10	1	no	—
1595	C₂×C₄	—	10	1	no	—
1596	C₂×C₄	—	10	1	no	—
1597	C₂×C₄	—	10	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	1	no	—
1600	C₂×C₄	—	10	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	10	1	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	10	1	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	20	1	no	—
1607	C₂×C₄	—	20	1	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	20	2	no	—
1610	C₂×C₄	—	20	2	no	—
1611	C₂×C₄	—	20	2	no	—
1612	C₂×C₄	—	40	1	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	—	40	1	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	—	40	1	no	—
1622	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1623	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1628	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	2	1	no	—
1633	C₈	—	5	2	no	—
1634	C₈	—	10	1	no	—
1635	C₈	—	10	1	no	—
1636	C₈	—	10	1	no	—
1637	C₅	#61487	1	1	yes	characteristic, complemented, Sylow
1638	C₂²	—	2	2	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	10	1	no	—
1645	C₂²	—	10	1	no	—
1646	C₂²	—	10	1	no	—
1647	C₂²	—	10	1	no	—
1648	C₂²	—	10	1	no	—
1649	C₂²	—	10	1	no	—
1650	C₂²	—	10	1	no	—
1651	C₂²	—	10	1	no	—
1652	C₂²	—	10	1	no	—
1653	C₂²	—	10	2	no	—
1654	C₂²	—	20	1	no	—
1655	C₂²	—	20	1	no	—
1656	C₂²	—	20	1	no	—
1657	C₂²	—	20	1	no	—
1658	C₂²	—	20	1	no	—
1659	C₂²	—	80	2	no	—
1660	C₂²	—	80	2	no	—
1661	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	10	1	no	—
1676	C₄	—	10	1	no	—
1677	C₄	—	10	1	no	—
1678	C₄	—	10	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	—	20	1	no	—
1684	C₄	—	20	1	no	—
1685	C₄	C₂×D₅×#41	1	1	yes	characteristic
1686	C₄	#66287	1	1	yes	characteristic
1687	C₂	—	4	2	no	—
1688	C₂	—	8	1	no	—
1689	C₂	—	20	1	no	—
1690	C₂	—	20	1	no	—
1691	C₂	—	20	1	no	—
1692	C₂	—	20	2	no	—
1693	C₂	—	40	1	no	—
1694	C₂	#10618611	1	1	yes	characteristic
1695	C₂	#10619100	1	1	yes	characteristic
1696	C₂	#10619107	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×#3376	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3376	D₅
hypocenter	C₅	#61487
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3376

Complements

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

N	H ≅ G/N	type
1. #10618893	C₂	semidirect
2. #10618836	C₂	semidirect
3. C₅×#3376	C₂	semidirect
4. #10615401	C₂	semidirect
5. #10615359	C₂	semidirect
6. #10613479	C₂	semidirect
7. #10613461	C₂	semidirect
8. #10613429	C₂	semidirect
9. #10613398	C₂	semidirect
10. #10613388	C₂	semidirect
11. #10613359	C₂	semidirect
12. #10612984	C₂	semidirect
13. #10612937	C₂	semidirect
14. #10612926	C₂	semidirect
15. #10612878	C₂	semidirect
16. #10612760	C₂	semidirect
17. #10612732	C₂	semidirect
18. #10612288	C₂	semidirect
19. #10612288	C₂	semidirect
20. #10612242	C₂	semidirect
21. #10612237	C₂	semidirect
22. #10612180	C₂	semidirect
23. #10612144	C₂	semidirect
24. #10611705	C₂	semidirect
25. #10611670	C₂	semidirect
26. #10611612	C₂	semidirect
27. #10611598	C₂	semidirect
28. #10611532	C₂	semidirect
29. #10611509	C₂	semidirect
30. #10611413	C₂	semidirect
31. C₄×#4062	C₂	semidirect
32. C₅×#556	C₂²	semidirect
33. C₅×#554	C₂²	semidirect
37. #66067	C₂²	semidirect
40. #66060	C₂²	semidirect
46. #66029	C₂²	semidirect
48. #66025	C₂²	semidirect
49. #66016	C₂²	semidirect
50. #66014	C₂²	semidirect
62. #65918	C₂²	semidirect
65. #65913	C₂²	semidirect
66. #65908	C₂²	semidirect
67. C₄×#713	C₂²	semidirect
68. #65892	C₂²	semidirect
69. #65889	C₂²	semidirect
72. #65880	C₂²	semidirect
75. C₄×#711	C₂²	semidirect
80. C₅×#491	C₂²	semidirect
81. C₅×#489	C₂²	semidirect
82. C₅×#488	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
89. C₅×#446	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₄×C₅×SD₁₆	C₂²	semidirect
93. #65462	C₂²	semidirect
94. #65462	C₂²	semidirect
97. #65453	C₂²	semidirect
98. SD₁₆×Dic₅	C₂²	semidirect
102. #65381	C₂²	semidirect
103. #65373	C₂²	semidirect
104. #65372	C₂²	semidirect
105. #65367	C₂²	semidirect
106. #65355	C₂²	semidirect
107. #65355	C₂²	semidirect
108. #65353	C₂²	semidirect
109. #65353	C₂²	semidirect
112. #65343	C₂²	semidirect
113. #65343	C₂²	semidirect
114. C₄×#689	C₂²	semidirect
115. C₄×#689	C₂²	semidirect
116. #65317	C₂²	semidirect
117. #65317	C₂²	semidirect
118. Q₈×#168	C₂²	semidirect
119. #65308	C₂²	semidirect
124. #65298	C₂²	semidirect
125. #65298	C₂²	semidirect
126. #65297	C₂²	semidirect
127. #65178	C₂²	semidirect
129. #65174	C₂²	semidirect
130. D₅×#107	C₂²	semidirect
133. #65156	C₂²	semidirect
134. #65152	C₂²	semidirect
135. #65151	C₂²	semidirect
137. #65149	C₂²	semidirect
138. #65141	C₂²	semidirect
139. #65140	C₂²	semidirect
140. #65136	C₂²	semidirect
143. #65130	C₂²	semidirect
145. #65129	C₂²	semidirect
146. #65124	C₂²	semidirect
149. #65123	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65106	C₂²	semidirect
155. #65104	C₂²	semidirect
159. #65102	C₂²	semidirect
160. #65102	C₂²	semidirect
161. #65101	C₂²	semidirect
164. #65099	C₂²	semidirect
165. #65099	C₂²	semidirect
166. #65096	C₂²	semidirect
167. #65094	C₂²	semidirect
168. #65093	C₂²	semidirect
169. #65092	C₂²	semidirect
170. #65079	C₂²	semidirect
171. #65079	C₂²	semidirect
172. #65078	C₂²	semidirect
173. #65078	C₂²	semidirect
174. #65077	C₂²	semidirect
175. #65073	C₂²	semidirect
176. #65069	C₂²	semidirect
177. #65067	C₂²	semidirect
178. #65066	C₂²	semidirect
183. #65061	C₂²	semidirect
184. #65060	C₂²	semidirect
187. #65047	C₂²	semidirect
188. #65046	C₂²	semidirect
191. #65003	C₂²	semidirect
193. #64999	C₂²	semidirect
195. #64997	C₂²	semidirect
197. #64995	C₂²	semidirect
198. #64992	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
487. #3376	D₅	semidirect
724. #556	C₂×D₅	semidirect
726. #554	C₂×D₅	semidirect
773. #491	C₂×D₅	semidirect
775. #489	C₂×D₅	semidirect
777. #488	C₂×D₅	semidirect
791. #479	C₂×D₅	semidirect
797. #478	C₂×D₅	semidirect
801. #475	C₂×D₅	semidirect
825. #461	C₂×D₅	semidirect
838. #446	C₂×D₅	semidirect
851. #440	C₂×D₅	semidirect
861. C₄×SD₁₆	C₂×D₅	semidirect
1637. C₅	#61487	semidirect

Maximal subgroups

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

subgroup	index
#10618893	2
#10618836	2
C₅×#3376	2
#10615401	2
#10615359	2
#10613479	2
#10613461	2
#10613429	2
#10613398	2
#10613388	2
#10613359	2
#10612984	2
#10612937	2
#10612926	2
#10612878	2
#10612760	2
#10612732	2
#10612288	2
#10612242	2
#10612237	2
#10612180	2
#10612144	2
#10611705	2
#10611670	2
#10611612	2
#10611598	2
#10611532	2
#10611509	2
#10611413	2
C₄×#4062	2
#61487	5