Subgroups — #12969529

Order 1280.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618180	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618058	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3181	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615075	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614865	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613706	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613691	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613604	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613593	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613469	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613461	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613412	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613398	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612490	C₂	1	1	yes	maximal, characteristic, complemented
15	D₅×#467	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612476	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612472	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612389	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612387	C₂	1	1	yes	maximal, characteristic
20	#10612370	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612364	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611562	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611556	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611555	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611509	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611507	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611500	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611499	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610235	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64997	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#533	C₂²	1	1	yes	characteristic
33	C₅×#529	C₂²	1	1	yes	characteristic
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
36	C₂×#4062	C₂²	1	1	yes	characteristic
37	C₂×#4061	C₂²	1	1	yes	characteristic
38	C₂²×#676	C₂²	1	1	yes	characteristic
39	C₂²×C₈×D₅	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66065	C₂²	1	1	yes	characteristic
42	#66063	C₂²	1	1	yes	characteristic
43	#66058	C₂²	1	1	yes	characteristic
44	#66042	—	2	1	no	—
45	#66036	—	2	1	no	—
46	#66031	C₂²	1	1	yes	characteristic
47	#66027	—	2	1	no	—
48	#66027	—	2	1	no	—
49	#66023	C₂²	1	1	yes	characteristic
50	#66016	C₂²	1	1	yes	characteristic
51	#66009	C₂²	1	1	yes	characteristic
52	#65992	—	2	1	no	—
53	#65984	—	2	1	no	—
54	#65971	—	2	1	no	—
55	#65970	—	2	1	no	—
56	#65961	C₂²	1	1	yes	characteristic
57	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
58	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
59	#65958	C₂²	1	1	yes	characteristic
60	#65956	C₂²	1	1	yes	characteristic
61	#65956	C₂²	1	1	yes	characteristic
62	#65940	C₂²	1	1	yes	characteristic
63	#65934	C₂²	1	1	yes	characteristic
64	#65917	C₂²	1	1	yes	characteristic
65	#65917	C₂²	1	1	yes	characteristic
66	#65916	C₂²	1	1	yes	characteristic
67	#65915	—	2	1	no	—
68	#65908	C₂²	1	1	yes	characteristic
69	#65906	C₂²	1	1	yes	characteristic
70	#65906	C₂²	1	1	yes	characteristic
71	#65902	—	2	1	no	—
72	#65895	C₂²	1	1	yes	characteristic
73	#65890	—	2	1	no	—
74	#65880	C₂²	1	1	yes	characteristic
75	#65873	—	2	1	no	—
76	#65865	—	2	1	no	—
77	#65865	—	2	1	no	—
78	#65863	—	2	1	no	—
79	#65861	—	2	1	no	—
80	#65813	C₂²	1	1	yes	characteristic
81	C₂×#4018	C₂²	1	1	yes	characteristic
82	#65804	C₂²	1	1	yes	characteristic
83	C₅×#501	C₂²	1	1	yes	characteristic, complemented
84	C₅×#497	C₂²	1	1	yes	characteristic, complemented
85	C₅×#491	C₂²	1	1	yes	characteristic, complemented
86	C₅×#489	C₂²	1	1	yes	characteristic, complemented
87	C₅×#467	C₂²	1	1	yes	characteristic
88	C₅×#467	C₂²	1	1	yes	characteristic
89	C₅×#465	C₂²	1	1	yes	characteristic
90	C₅×#465	C₂²	1	1	yes	characteristic
91	C₅×#441	C₂²	1	1	yes	characteristic, complemented
92	C₅×#441	C₂²	1	1	yes	characteristic, complemented
93	C₅×#440	C₂²	1	1	yes	characteristic, complemented
94	C₅×#440	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₅×#97	C₂²	1	1	yes	characteristic
96	#65479	C₂²	1	1	yes	characteristic, complemented
97	#65478	C₂²	1	1	yes	characteristic
98	#65477	C₂²	1	1	yes	characteristic
99	#65473	C₂²	1	1	yes	characteristic, complemented
100	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
101	#65470	C₂²	1	1	yes	characteristic, complemented
102	#65463	C₂²	1	1	yes	characteristic
103	#65460	C₂²	1	1	yes	characteristic
104	#65457	C₂²	1	1	yes	characteristic, complemented
105	#65456	C₂²	1	1	yes	characteristic, complemented
106	#65453	C₂²	1	1	yes	characteristic, complemented
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65405	C₂²	1	1	yes	characteristic
109	#65405	C₂²	1	1	yes	characteristic
110	#65403	C₂²	1	1	yes	characteristic
111	#65403	C₂²	1	1	yes	characteristic
112	C₂×#3947	C₂²	1	1	yes	characteristic
113	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
114	#65382	C₂²	1	1	yes	characteristic, complemented
115	#65381	C₂²	1	1	yes	characteristic, complemented
116	#65370	C₂²	1	1	yes	characteristic, complemented
117	#65367	C₂²	1	1	yes	characteristic, complemented
118	#65357	C₂²	1	1	yes	characteristic, complemented
119	#65353	C₂²	1	1	yes	characteristic, complemented
120	#65348	C₂²	1	1	yes	characteristic, complemented
121	#65345	C₂²	1	1	yes	characteristic, complemented
122	#65340	C₂²	1	1	yes	characteristic
123	#65340	C₂²	1	1	yes	characteristic
124	#65340	C₂²	1	1	yes	characteristic
125	#65340	C₂²	1	1	yes	characteristic
126	#65340	C₂²	1	1	yes	characteristic
127	#65337	C₂²	1	1	yes	characteristic
128	#65330	C₂²	1	1	yes	characteristic
129	#65327	C₂²	1	1	yes	characteristic
130	C₄×#689	C₂²	1	1	yes	characteristic, complemented
131	C₄×#689	C₂²	1	1	yes	characteristic, complemented
132	C₄×#689	C₂²	1	1	yes	characteristic, complemented
133	C₄×#689	C₂²	1	1	yes	characteristic, complemented
134	C₄×#689	C₂²	1	1	yes	characteristic, complemented
135	C₄×#688	C₂²	1	1	yes	characteristic, complemented
136	C₄×#687	C₂²	1	1	yes	characteristic, complemented
137	C₄×#686	C₂²	1	1	yes	characteristic, complemented
138	C₂×C₄×#168	C₂²	1	1	yes	characteristic
139	#65178	C₂²	1	1	yes	characteristic, complemented
140	#65176	C₂²	1	1	yes	characteristic
141	#65175	C₂²	1	1	yes	characteristic
142	#65170	C₂²	1	1	yes	characteristic
143	D₅×#107	C₂²	1	1	yes	characteristic
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65163	C₂²	1	1	yes	characteristic, complemented
146	#65162	C₂²	1	1	yes	characteristic, complemented
147	#65157	C₂²	1	1	yes	characteristic
148	#65153	C₂²	1	1	yes	characteristic
149	#65150	C₂²	1	1	yes	characteristic
150	#65149	C₂²	1	1	yes	characteristic
151	#65147	C₂²	1	1	yes	characteristic, complemented
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65142	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65105	C₂²	1	1	yes	characteristic
157	#65105	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic
160	#65102	C₂²	1	1	yes	characteristic
161	#65101	C₂²	1	1	yes	characteristic
162	#65093	C₂²	1	1	yes	characteristic
163	#65092	C₂²	1	1	yes	characteristic
164	#65091	C₂²	1	1	yes	characteristic
165	#65091	C₂²	1	1	yes	characteristic
166	D₅×#103	C₂²	1	1	yes	characteristic
167	D₅×#103	C₂²	1	1	yes	characteristic
168	#65089	C₂²	1	1	yes	characteristic, complemented
169	#65086	C₂²	1	1	yes	characteristic, complemented
170	#65086	C₂²	1	1	yes	characteristic, complemented
171	#65084	C₂²	1	1	yes	characteristic, complemented
172	#65081	C₂²	1	1	yes	characteristic, complemented
173	#65081	C₂²	1	1	yes	characteristic, complemented
174	#65079	C₂²	1	1	yes	characteristic, complemented
175	#65079	C₂²	1	1	yes	characteristic, complemented
176	#65079	C₂²	1	1	yes	characteristic, complemented
177	#65078	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65069	C₂²	1	1	yes	characteristic
180	#65064	C₂²	1	1	yes	characteristic
181	#65061	C₂²	1	1	yes	characteristic
182	#65060	C₂²	1	1	yes	characteristic
183	#65057	C₂²	1	1	yes	characteristic, complemented
184	#65054	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65005	C₂²	1	1	yes	characteristic, complemented
188	#65005	C₂²	1	1	yes	characteristic, complemented
189	#65004	C₂²	1	1	yes	characteristic, complemented
190	#65003	C₂²	1	1	yes	characteristic, complemented
191	#64999	C₂²	1	1	yes	characteristic, complemented
192	#64999	C₂²	1	1	yes	characteristic, complemented
193	#64997	C₂²	1	1	yes	characteristic
194	#64997	C₂²	1	1	yes	characteristic
195	#64997	C₂²	1	1	yes	characteristic
196	#64997	C₂²	1	1	yes	characteristic
197	#64997	C₂²	1	1	yes	characteristic
198	#64997	C₂²	1	1	yes	characteristic
199	#64997	C₂²	1	1	yes	characteristic
200	#64997	C₂²	1	1	yes	characteristic
201	#64992	C₂²	1	1	yes	characteristic, complemented
202	#64991	C₂²	1	1	yes	characteristic, complemented
203	#60708	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#124	C₂³	1	1	yes	characteristic
221	C₅×#123	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×#121	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	—	2	1	no	—
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×D₄	—	2	1	no	—
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₅×#117	—	2	1	no	—
234	C₅×#117	—	2	1	no	—
235	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
236	#4093	—	2	1	no	—
237	#4093	C₂³	1	1	yes	characteristic
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	#4090	—	2	1	no	—
247	#4090	C₂³	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×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	#4084	C₂³	1	1	yes	characteristic
256	#4083	—	2	1	no	—
257	#4082	C₂³	1	1	yes	characteristic
258	#4081	—	2	1	no	—
259	D₄×Dic₅	—	2	1	no	—
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#687	C₂³	1	1	yes	characteristic
263	C₂×#686	C₂³	1	1	yes	characteristic
264	#4076	C₂³	1	1	yes	characteristic
265	#4075	—	2	1	no	—
266	#4075	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₂×#685	D₄	1	1	yes	characteristic
270	C₂×#685	D₄	1	1	yes	characteristic
271	#4072	—	2	1	no	—
272	#4070	—	2	1	no	—
273	#4070	—	2	1	no	—
274	#4070	C₂³	1	1	yes	characteristic
275	#4070	C₂³	1	1	yes	characteristic
276	#4070	C₂³	1	1	yes	characteristic
277	C₂×#683	—	2	1	no	—
278	C₂×#683	D₄	1	1	yes	characteristic
279	C₂×#683	D₄	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂²×#168	C₂³	1	1	yes	characteristic
282	C₂²×#168	C₂³	1	1	yes	characteristic
283	#4064	—	2	4	no	—
284	D₅×Q₁₆	—	2	4	no	—
285	#4062	—	2	4	no	—
286	#4061	—	2	4	no	—
287	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
288	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
289	C₂×#677	C₂³	1	1	yes	characteristic
290	C₂×#677	C₂³	1	1	yes	characteristic
291	C₂×#676	—	2	4	no	—
292	C₂×#676	C₂³	1	1	yes	characteristic
293	C₂×#676	C₂³	1	1	yes	characteristic
294	C₂×#676	C₂³	1	1	yes	characteristic
295	C₂×#676	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₅	—	2	4	no	—
297	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
299	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
300	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4044	—	2	1	no	—
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4043	—	2	1	no	—
310	#4043	C₂³	1	1	yes	characteristic
311	#4043	C₂³	1	1	yes	characteristic
312	#4043	C₂³	1	1	yes	characteristic
313	#4042	—	2	1	no	—
314	#4042	—	2	1	no	—
315	#4042	—	2	1	no	—
316	#4042	—	2	1	no	—
317	#4042	—	2	1	no	—
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4041	C₂³	1	1	yes	characteristic
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	—	2	1	no	—
325	#4040	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	C₂³	1	1	yes	characteristic
329	#4038	—	2	1	no	—
330	#4038	—	2	1	no	—
331	#4038	—	2	1	no	—
332	#4038	C₂³	1	1	yes	characteristic
333	#4038	C₂³	1	1	yes	characteristic
334	D₅×C₄⋊C₄	—	2	1	no	—
335	D₅×C₄⋊C₄	—	2	1	no	—
336	D₅×C₄⋊C₄	—	2	1	no	—
337	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	#4036	—	2	1	no	—
340	#4036	—	2	1	no	—
341	#4036	C₂³	1	1	yes	characteristic
342	#4036	C₂³	1	1	yes	characteristic
343	#4035	—	2	1	no	—
344	#4035	—	2	1	no	—
345	#4035	—	2	1	no	—
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4034	—	2	1	no	—
352	#4034	C₂³	1	1	yes	characteristic
353	#4034	C₂³	1	1	yes	characteristic
354	#4033	—	2	1	no	—
355	#4033	—	2	1	no	—
356	#4033	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	C₂³	1	1	yes	characteristic
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4032	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4029	—	2	1	no	—
366	#4029	—	2	1	no	—
367	#4029	—	2	1	no	—
368	#4028	—	2	1	no	—
369	#4027	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	#4027	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	#4025	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4024	—	2	1	no	—
381	#4024	—	2	1	no	—
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4023	—	2	1	no	—
386	#4023	—	2	1	no	—
387	#4023	—	2	1	no	—
388	#4023	—	2	1	no	—
389	#4022	—	2	1	no	—
390	#4022	—	2	1	no	—
391	#4022	—	2	1	no	—
392	#4022	—	2	1	no	—
393	#4021	—	2	1	no	—
394	#4021	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	—	2	1	no	—
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	#4018	—	2	1	no	—
398	#4018	—	2	1	no	—
399	#4018	—	2	1	no	—
400	#4018	—	2	1	no	—
401	#4018	D₄	1	1	yes	characteristic
402	#4018	D₄	1	1	yes	characteristic
403	#4018	D₄	1	1	yes	characteristic
404	#4018	D₄	1	1	yes	characteristic
405	#4018	C₂³	1	1	yes	characteristic
406	#4018	C₂³	1	1	yes	characteristic
407	#4018	C₂³	1	1	yes	characteristic
408	#4018	C₂³	1	1	yes	characteristic
409	#4016	—	2	1	no	—
410	#4016	—	2	1	no	—
411	#4016	—	2	1	no	—
412	#4016	C₂³	1	1	yes	characteristic
413	#4015	C₂³	1	1	yes	characteristic
414	#4015	C₂³	1	1	yes	characteristic
415	C₄×Dic₁₀	—	2	1	no	—
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₅×#97	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	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	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3947	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	C₄×#168	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3495	—	5	1	no	—
486	#3495	—	5	1	no	—
487	#3181	—	5	1	no	—
488	#3181	—	5	1	no	—
489	#3181	—	5	1	no	—
490	#3181	D₅	1	1	yes	characteristic, complemented
491	#3178	—	5	1	no	—
492	#3178	—	5	1	no	—
493	#3178	—	5	1	no	—
494	#3178	—	5	1	no	—
495	#3177	—	5	1	no	—
496	#3177	—	5	1	no	—
497	#3175	—	5	1	no	—
498	#3175	—	5	1	no	—
499	#3170	—	5	1	no	—
500	#3170	—	5	1	no	—
501	#3168	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3164	—	5	1	no	—
504	#3156	—	5	1	no	—
505	#3137	—	5	1	no	—
506	#3137	—	5	1	no	—
507	#3056	—	5	1	no	—
508	#3056	—	5	1	no	—
509	#3050	—	5	1	no	—
510	C₂×#467	—	5	1	no	—
511	#2951	—	5	1	no	—
512	#2950	—	5	1	no	—
513	#2947	—	5	1	no	—
514	#2947	—	5	1	no	—
515	C₂×#405	—	5	1	no	—
516	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
525	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
533	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
535	#713	—	2	2	no	—
536	#713	—	2	2	no	—
537	Q₈×D₅	—	2	2	no	—
538	Q₈×D₅	—	2	2	no	—
539	Q₈×D₅	—	2	2	no	—
540	Q₈×D₅	—	2	2	no	—
541	#711	—	2	2	no	—
542	#711	—	2	2	no	—
543	C₂×D₂₀	—	2	1	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
546	C₂×C₄×D₅	—	2	2	no	—
547	C₂×C₄×D₅	—	2	2	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
558	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
567	C₅×Q₁₆	—	2	2	no	—
568	C₅×Q₁₆	—	2	2	no	—
569	C₅×SD₁₆	—	2	2	no	—
570	C₅×SD₁₆	—	2	2	no	—
571	C₂×C₅×C₈	—	2	2	no	—
572	C₂×C₅×C₈	—	2	2	no	—
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
604	C₄²×C₅	C₂⁴	1	1	yes	characteristic
605	C₄²×C₅	C₂⁴	1	1	yes	characteristic
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
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	#689	—	2	2	no	—
616	#689	—	2	2	no	—
617	#689	—	2	2	no	—
618	#688	—	2	2	no	—
619	#687	—	2	2	no	—
620	#686	—	2	2	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	—	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	C₂×D₄	1	1	yes	characteristic
638	#685	C₂×D₄	1	1	yes	characteristic
639	#685	C₂×D₄	1	1	yes	characteristic
640	#685	C₂×D₄	1	1	yes	characteristic
641	#685	C₂×D₄	1	1	yes	characteristic
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	C₂×#168	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	Dic₂₀	—	2	2	no	—
714	Dic₂₀	—	2	2	no	—
715	#677	—	2	2	no	—
716	#677	—	2	2	no	—
717	#676	—	2	2	no	—
718	#676	—	2	2	no	—
719	#676	—	2	2	no	—
720	#676	#41	1	4	yes	—
721	C₈×D₅	—	2	2	no	—
722	C₈×D₅	—	2	2	no	—
723	C₈×D₅	—	2	2	no	—
724	C₈×D₅	#41	1	4	yes	—
725	C₂×#137	—	5	1	no	—
726	C₂×#137	—	5	1	no	—
727	C₂×#135	—	5	1	no	—
728	C₂²×Q₁₆	—	5	1	no	—
729	C₂²×M₁₆	—	5	1	no	—
730	C₂³×C₈	—	5	1	no	—
731	#556	—	10	1	no	—
732	#556	—	10	1	no	—
733	#554	—	10	1	no	—
734	#554	—	10	1	no	—
735	#552	—	10	1	no	—
736	#552	—	10	1	no	—
737	#552	—	10	1	no	—
738	#552	—	10	1	no	—
739	#552	—	10	1	no	—
740	#552	—	10	1	no	—
741	#552	—	10	1	no	—
742	#552	—	10	1	no	—
743	#551	—	10	1	no	—
744	#551	—	10	1	no	—
745	#551	—	10	1	no	—
746	#551	—	10	1	no	—
747	#544	—	5	1	no	—
748	#544	—	5	1	no	—
749	#542	—	5	1	no	—
750	#542	—	5	1	no	—
751	#542	—	5	1	no	—
752	#542	—	5	1	no	—
753	#541	—	5	1	no	—
754	#541	—	5	1	no	—
755	#541	—	5	1	no	—
756	#541	—	5	1	no	—
757	#536	—	5	1	no	—
758	#536	—	5	1	no	—
759	#533	—	5	1	no	—
760	#533	—	5	1	no	—
761	#533	—	5	1	no	—
762	#533	C₂×D₅	1	1	yes	characteristic
763	#529	—	5	1	no	—
764	#529	—	5	1	no	—
765	#529	—	5	1	no	—
766	#529	C₂×D₅	1	1	yes	characteristic
767	#525	—	5	1	no	—
768	#525	—	5	1	no	—
769	C₂×C₂²⋊Q₈	—	5	1	no	—
770	C₂×C₂²⋊Q₈	—	5	1	no	—
771	#520	—	5	1	no	—
772	#520	—	5	1	no	—
773	#519	—	5	1	no	—
774	#519	—	5	1	no	—
775	C₂×#117	—	5	1	no	—
776	#501	—	5	1	no	—
777	#501	—	5	1	no	—
778	#501	—	5	1	no	—
779	#501	C₂×D₅	1	1	yes	characteristic, complemented
780	#500	—	5	1	no	—
781	#500	—	5	1	no	—
782	#499	—	5	1	no	—
783	#499	—	5	1	no	—
784	#497	—	5	1	no	—
785	#497	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	C₂×D₅	1	1	yes	characteristic, complemented
788	#495	—	5	1	no	—
789	#495	—	5	1	no	—
790	#494	—	5	1	no	—
791	#494	—	5	1	no	—
792	#491	—	5	1	no	—
793	#491	—	5	1	no	—
794	#491	—	5	1	no	—
795	#491	C₂×D₅	1	1	yes	characteristic, complemented
796	#489	—	5	1	no	—
797	#489	—	5	1	no	—
798	#489	—	5	1	no	—
799	#489	C₂×D₅	1	1	yes	characteristic, complemented
800	#488	—	5	1	no	—
801	#488	—	5	1	no	—
802	#488	—	5	1	no	—
803	#488	—	5	1	no	—
804	#487	—	5	1	no	—
805	#487	—	5	1	no	—
806	#487	—	5	1	no	—
807	#487	—	5	1	no	—
808	#470	—	5	1	no	—
809	#470	—	5	1	no	—
810	#470	—	5	1	no	—
811	#470	—	5	1	no	—
812	#468	—	5	1	no	—
813	#468	—	5	1	no	—
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#467	—	5	1	no	—
817	#467	—	5	1	no	—
818	#467	—	5	1	no	—
819	#467	—	5	1	no	—
820	#467	—	5	1	no	—
821	#467	—	5	1	no	—
822	#467	—	5	1	no	—
823	#467	—	5	1	no	—
824	#467	—	5	1	no	—
825	#467	—	5	1	no	—
826	#467	—	5	1	no	—
827	#467	—	5	1	no	—
828	#467	C₂×D₅	1	1	yes	characteristic
829	#467	C₂×D₅	1	1	yes	characteristic
830	#466	—	5	1	no	—
831	#466	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	C₂×D₅	1	1	yes	characteristic
839	#465	C₂×D₅	1	1	yes	characteristic
840	#441	—	5	1	no	—
841	#441	—	5	1	no	—
842	#441	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	C₂×D₅	1	1	yes	characteristic, complemented
847	#441	C₂×D₅	1	1	yes	characteristic, complemented
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	C₂×D₅	1	1	yes	characteristic, complemented
855	#440	C₂×D₅	1	1	yes	characteristic, complemented
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×Q₁₆	—	5	1	no	—
865	C₄×Q₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×D₈	—	5	1	no	—
871	C₄×D₈	—	5	1	no	—
872	#428	—	5	1	no	—
873	#428	—	5	1	no	—
874	#427	—	5	1	no	—
875	C₂×#107	—	5	1	no	—
876	#419	—	5	1	no	—
877	#419	—	5	1	no	—
878	#417	—	5	1	no	—
879	#417	—	5	1	no	—
880	#416	—	5	1	no	—
881	#416	—	5	1	no	—
882	C₂×#103	—	5	1	no	—
883	C₂×#103	—	5	1	no	—
884	#405	—	5	1	no	—
885	#405	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	—	5	1	no	—
891	#405	—	5	1	no	—
892	C₂×#97	—	5	1	no	—
893	C₂×#97	C₂×D₅	1	1	yes	characteristic
894	C₂×C₄×C₈	—	5	1	no	—
895	C₂×C₄×C₈	—	5	1	no	—
896	C₂³×C₅	—	2	1	no	—
897	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	—	2	2	no	—
899	C₂²×D₅	—	2	2	no	—
900	C₂²×D₅	—	2	1	no	—
901	C₂²×D₅	—	4	1	no	—
902	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
903	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
904	C₅×Q₈	—	2	1	no	—
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	8	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	4	2	no	—
914	C₂×C₄×C₅	—	2	2	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	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	4	1	no	—
925	C₂×C₄×C₅	—	8	1	no	—
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
932	C₂²⋊D₅	—	4	2	no	—
933	C₂²⋊D₅	—	4	2	no	—
934	C₂²⋊D₅	—	8	1	no	—
935	C₂×Dic₅	—	2	2	no	—
936	C₂×Dic₅	—	2	2	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	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	4	1	no	—
945	C₂×Dic₅	—	4	2	no	—
946	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	4	2	no	—
956	D₂₀	—	8	1	no	—
957	C₄×D₅	—	2	2	no	—
958	C₄×D₅	—	2	1	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	2	2	no	—
961	C₄×D₅	—	4	2	no	—
962	C₄×D₅	—	4	2	no	—
963	C₄×D₅	—	4	2	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	C₄×D₅	C₂×#41	1	2	yes	—
969	C₄×D₅	C₂×#41	1	2	yes	—
970	Dic₁₀	—	2	1	no	—
971	Dic₁₀	—	2	1	no	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	2	1	no	—
974	Dic₁₀	—	2	1	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	4	2	no	—
977	Dic₁₀	—	4	2	no	—
978	Dic₁₀	—	8	1	no	—
979	Dic₁₀	—	8	1	no	—
980	Dic₁₀	—	8	1	no	—
981	C₅×C₈	—	2	1	no	—
982	C₅×C₈	—	2	1	no	—
983	C₅×C₈	C₂×#41	1	2	yes	—
984	C₅×C₈	C₂×#41	1	2	yes	—
985	#168	—	2	1	no	—
986	#168	—	2	1	no	—
987	#168	C₂×#41	1	2	yes	—
988	#168	C₂×#41	1	2	yes	—
989	C₂×#41	—	5	1	no	—
990	C₂×#41	—	5	1	no	—
991	C₂²×Q₈	—	5	1	no	—
992	C₂²×Q₈	—	5	1	no	—
993	C₂³×C₄	—	5	1	no	—
994	#137	—	10	4	no	—
995	#137	—	10	4	no	—
996	#135	—	10	4	no	—
997	C₂×Q₁₆	—	5	1	no	—
998	C₂×Q₁₆	—	5	1	no	—
999	C₂×Q₁₆	—	5	1	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×Q₁₆	—	10	4	no	—
1005	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1006	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1012	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1013	C₂×D₈	—	5	1	no	—
1014	C₂×M₁₆	—	5	1	no	—
1015	C₂×M₁₆	—	5	1	no	—
1016	C₂×M₁₆	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	10	4	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	C₂²×C₈	—	5	1	no	—
1024	C₂²×C₈	—	5	1	no	—
1025	C₂²×C₈	—	10	4	no	—
1026	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1027	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1028	C₄⋊Q₈	—	5	1	no	—
1029	C₄⋊Q₈	—	5	1	no	—
1030	C₄⋊Q₈	—	5	1	no	—
1031	C₄⋊Q₈	—	5	1	no	—
1032	C₄⋊Q₈	—	5	1	no	—
1033	C₄⋊Q₈	—	5	1	no	—
1034	C₄⋊Q₈	—	10	1	no	—
1035	C₄⋊Q₈	—	10	1	no	—
1036	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1037	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1038	#126	—	2	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	#126	—	10	1	no	—
1050	#126	—	10	1	no	—
1051	#126	—	10	1	no	—
1052	#126	—	10	1	no	—
1053	#126	—	10	1	no	—
1054	#125	—	2	1	no	—
1055	#125	—	5	1	no	—
1056	#125	—	5	1	no	—
1057	#125	—	5	1	no	—
1058	#125	—	10	1	no	—
1059	#125	—	10	1	no	—
1060	#125	—	10	1	no	—
1061	#125	—	10	1	no	—
1062	#125	—	10	1	no	—
1063	#125	—	10	1	no	—
1064	#125	—	10	1	no	—
1065	#125	—	10	1	no	—
1066	#125	—	10	1	no	—
1067	#125	—	10	1	no	—
1068	#125	—	10	1	no	—
1069	#125	—	10	1	no	—
1070	#125	—	10	1	no	—
1071	#125	C₂²×D₅	1	1	yes	characteristic
1072	#124	—	5	1	no	—
1073	#124	—	5	1	no	—
1074	#124	—	5	1	no	—
1075	#124	—	10	1	no	—
1076	#124	—	10	1	no	—
1077	#124	—	10	1	no	—
1078	#124	—	10	1	no	—
1079	#124	C₂²×D₅	1	1	yes	characteristic
1080	#123	—	2	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	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	#123	—	10	1	no	—
1094	C₂²⋊Q₈	—	2	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	—	5	1	no	—
1101	C₂²⋊Q₈	—	5	1	no	—
1102	C₂²⋊Q₈	—	5	1	no	—
1103	C₂²⋊Q₈	—	5	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	C₂²⋊Q₈	—	10	1	no	—
1107	C₂²⋊Q₈	—	10	1	no	—
1108	C₂²⋊Q₈	—	10	1	no	—
1109	C₂²⋊Q₈	—	10	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	C₂²⋊Q₈	—	10	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	—	10	1	no	—
1123	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1126	#121	—	5	1	no	—
1127	#121	—	5	1	no	—
1128	#121	—	5	1	no	—
1129	#121	C₂²×D₅	1	1	yes	characteristic
1130	#120	—	10	1	no	—
1131	#120	—	10	1	no	—
1132	C₄×Q₈	—	2	1	no	—
1133	C₄×Q₈	—	5	1	no	—
1134	C₄×Q₈	—	5	1	no	—
1135	C₄×Q₈	—	5	1	no	—
1136	C₄×Q₈	—	5	1	no	—
1137	C₄×Q₈	—	5	1	no	—
1138	C₄×Q₈	—	5	1	no	—
1139	C₄×Q₈	—	5	1	no	—
1140	C₄×Q₈	—	5	1	no	—
1141	C₄×Q₈	—	5	1	no	—
1142	C₄×Q₈	—	10	1	no	—
1143	C₄×Q₈	—	10	1	no	—
1144	C₄×Q₈	—	10	1	no	—
1145	C₄×Q₈	—	10	1	no	—
1146	C₄×Q₈	—	10	1	no	—
1147	C₄×Q₈	—	10	1	no	—
1148	C₄×Q₈	—	10	1	no	—
1149	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1150	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1151	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1152	C₄×D₄	—	2	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	5	1	no	—
1155	C₄×D₄	—	5	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	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1168	#117	—	2	1	no	—
1169	#117	—	2	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	1	no	—
1175	#117	—	5	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	5	1	no	—
1179	#117	—	5	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	—	10	1	no	—
1184	#117	—	10	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	#117	—	10	1	no	—
1188	#117	—	10	1	no	—
1189	#117	—	10	1	no	—
1190	#117	—	10	1	no	—
1191	#117	—	10	1	no	—
1192	C₂×C₄⋊C₄	—	5	1	no	—
1193	C₂×C₄⋊C₄	—	5	1	no	—
1194	C₂×C₄⋊C₄	—	5	1	no	—
1195	C₂×C₄⋊C₄	—	5	1	no	—
1196	C₂×C₄⋊C₄	—	10	1	no	—
1197	C₂×C₄⋊C₄	—	10	1	no	—
1198	C₂×C₄⋊C₄	—	10	1	no	—
1199	C₂×C₄⋊C₄	—	10	1	no	—
1200	C₂×C₂²⋊C₄	—	5	1	no	—
1201	C₂×C₂²⋊C₄	—	5	1	no	—
1202	C₂×C₂²⋊C₄	—	10	1	no	—
1203	C₂×C₂²⋊C₄	—	10	1	no	—
1204	C₂×C₄²	—	5	1	no	—
1205	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1206	#107	—	5	1	no	—
1207	#107	—	5	1	no	—
1208	#107	—	5	1	no	—
1209	#107	—	5	1	no	—
1210	#107	—	5	1	no	—
1211	#107	—	5	1	no	—
1212	#107	—	5	1	no	—
1213	#107	—	5	1	no	—
1214	#107	C₂²×D₅	1	1	yes	characteristic
1215	#107	C₂²×D₅	1	1	yes	characteristic
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	—	5	1	no	—
1220	#106	C₂²×D₅	1	1	yes	characteristic
1221	#106	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	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	C₂²×D₅	1	1	yes	characteristic
1241	#103	C₂²×D₅	1	1	yes	characteristic
1242	#103	C₂²×D₅	1	1	yes	characteristic
1243	#103	C₂²×D₅	1	1	yes	characteristic
1244	#103	C₂²×D₅	1	1	yes	characteristic
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	C₂²×D₅	1	1	yes	characteristic
1253	#102	C₂²×D₅	1	1	yes	characteristic
1254	#97	—	5	1	no	—
1255	#97	—	5	1	no	—
1256	#97	—	5	1	no	—
1257	#97	—	5	1	no	—
1258	#97	C₂²×D₅	1	1	yes	characteristic
1259	#97	C₂²×D₅	1	1	yes	characteristic
1260	#97	C₂²×D₅	1	1	yes	characteristic
1261	#97	C₂²×D₅	1	1	yes	characteristic
1262	C₄×C₈	—	5	1	no	—
1263	C₄×C₈	—	5	1	no	—
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	—	5	1	no	—
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	—	4	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	#578	1	2	yes	—
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	—	4	4	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	#532	1	2	yes	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	2	1	no	—
1289	C₄×C₅	—	2	1	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1300	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	2	1	no	—
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	Dic₅	—	4	1	no	—
1309	Dic₅	—	4	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	#532	1	2	yes	—
1314	C₂⁴	—	5	1	no	—
1315	#41	—	10	2	no	—
1316	#41	—	10	2	no	—
1317	#41	—	10	2	no	—
1318	#41	—	10	2	no	—
1319	C₂×Q₈	—	2	1	no	—
1320	C₂×Q₈	—	5	1	no	—
1321	C₂×Q₈	—	5	1	no	—
1322	C₂×Q₈	—	5	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	10	1	no	—
1325	C₂×Q₈	—	10	1	no	—
1326	C₂×Q₈	—	10	1	no	—
1327	C₂×Q₈	—	10	2	no	—
1328	C₂×Q₈	—	10	2	no	—
1329	C₂×Q₈	—	10	2	no	—
1330	C₂×Q₈	—	10	2	no	—
1331	C₂×Q₈	—	10	1	no	—
1332	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1334	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1335	C₂×D₄	—	2	1	no	—
1336	C₂×D₄	—	5	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	C₂³×D₅	1	1	yes	characteristic
1343	C₂²×C₄	—	2	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	5	1	no	—
1348	C₂²×C₄	—	5	1	no	—
1349	C₂²×C₄	—	5	1	no	—
1350	C₂²×C₄	—	5	1	no	—
1351	C₂²×C₄	—	10	2	no	—
1352	C₂²×C₄	—	10	2	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	D₄×D₅	1	1	yes	characteristic
1363	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1364	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1365	Q₁₆	—	2	2	no	—
1366	Q₁₆	—	2	2	no	—
1367	Q₁₆	—	10	2	no	—
1368	Q₁₆	—	10	2	no	—
1369	Q₁₆	—	10	2	no	—
1370	Q₁₆	—	10	2	no	—
1371	Q₁₆	—	10	2	no	—
1372	Q₁₆	—	10	2	no	—
1373	Q₁₆	—	10	2	no	—
1374	SD₁₆	—	2	2	no	—
1375	SD₁₆	—	2	2	no	—
1376	SD₁₆	—	10	2	no	—
1377	SD₁₆	—	10	2	no	—
1378	SD₁₆	—	10	2	no	—
1379	SD₁₆	—	10	2	no	—
1380	D₈	—	10	2	no	—
1381	M₁₆	—	5	4	no	—
1382	M₁₆	—	10	2	no	—
1383	M₁₆	—	10	2	no	—
1384	M₁₆	—	10	2	no	—
1385	C₂×C₈	—	2	2	no	—
1386	C₂×C₈	—	2	2	no	—
1387	C₂×C₈	—	5	1	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	5	4	no	—
1390	C₂×C₈	—	5	1	no	—
1391	C₂×C₈	—	5	1	no	—
1392	C₂×C₈	—	10	2	no	—
1393	C₂×C₈	—	10	2	no	—
1394	C₂×C₈	—	10	2	no	—
1395	C₂×C₈	—	10	2	no	—
1396	C₂×C₈	—	10	2	no	—
1397	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1398	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1399	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1400	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	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	—	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	—	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	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1460	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1461	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1462	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1469	C₂²⋊C₄	—	2	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	C₄²	—	2	1	no	—
1502	C₄²	—	2	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	10	1	no	—
1509	C₄²	—	10	1	no	—
1510	C₄²	—	10	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	D₄×D₅	1	1	yes	characteristic
1520	C₄²	D₄×D₅	1	1	yes	characteristic
1521	C₄²	C₂³×D₅	1	1	yes	characteristic
1522	C₄²	C₂³×D₅	1	1	yes	characteristic
1523	C₂×C₅	—	2	2	no	—
1524	C₂×C₅	—	8	1	no	—
1525	C₂×C₅	C₂×#532	1	1	yes	characteristic
1526	C₂×C₅	C₂×#578	1	1	yes	characteristic
1527	C₂×C₅	#3584	1	1	yes	characteristic
1528	D₅	—	2	2	no	—
1529	D₅	—	4	1	no	—
1530	D₅	—	8	1	no	—
1531	C₂³	—	2	1	no	—
1532	C₂³	—	5	1	no	—
1533	C₂³	—	5	1	no	—
1534	C₂³	—	10	2	no	—
1535	C₂³	—	10	2	no	—
1536	C₂³	—	10	1	no	—
1537	C₂³	—	20	1	no	—
1538	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	8	1	no	—
1546	Q₈	—	10	1	no	—
1547	Q₈	—	10	1	no	—
1548	Q₈	—	10	1	no	—
1549	Q₈	—	10	1	no	—
1550	Q₈	—	10	1	no	—
1551	Q₈	—	10	1	no	—
1552	Q₈	—	20	2	no	—
1553	Q₈	—	20	2	no	—
1554	Q₈	—	40	1	no	—
1555	Q₈	—	40	1	no	—
1556	Q₈	—	40	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	4	2	no	—
1560	D₄	—	10	1	no	—
1561	D₄	—	10	1	no	—
1562	D₄	—	20	2	no	—
1563	D₄	—	20	2	no	—
1564	D₄	—	20	2	no	—
1565	D₄	—	40	1	no	—
1566	D₄	—	40	1	no	—
1567	C₂×C₄	—	2	2	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	5	1	no	—
1579	C₂×C₄	—	5	2	no	—
1580	C₂×C₄	—	5	2	no	—
1581	C₂×C₄	—	5	1	no	—
1582	C₂×C₄	—	5	1	no	—
1583	C₂×C₄	—	5	1	no	—
1584	C₂×C₄	—	5	1	no	—
1585	C₂×C₄	—	5	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	10	2	no	—
1588	C₂×C₄	—	10	2	no	—
1589	C₂×C₄	—	10	2	no	—
1590	C₂×C₄	—	10	2	no	—
1591	C₂×C₄	—	10	1	no	—
1592	C₂×C₄	—	10	1	no	—
1593	C₂×C₄	—	10	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	—	20	2	no	—
1601	C₂×C₄	—	20	2	no	—
1602	C₂×C₄	—	20	2	no	—
1603	C₂×C₄	—	20	2	no	—
1604	C₂×C₄	—	20	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	—	40	1	no	—
1607	C₂×C₄	—	40	1	no	—
1608	C₂×C₄	—	40	1	no	—
1609	C₂×C₄	—	40	1	no	—
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1613	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1614	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1615	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	5	2	no	—
1619	C₈	—	5	2	no	—
1620	C₈	—	10	1	no	—
1621	C₈	—	10	1	no	—
1622	C₈	D₅×#41	1	2	yes	—
1623	C₈	D₅×#41	1	2	yes	—
1624	C₅	#60708	1	1	yes	characteristic, complemented, Sylow
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	5	2	no	—
1631	C₂²	—	10	1	no	—
1632	C₂²	—	10	1	no	—
1633	C₂²	—	10	1	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	10	1	no	—
1636	C₂²	—	20	4	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	#66113	1	2	yes	—
1641	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1642	C₄	—	2	1	no	—
1643	C₄	—	2	1	no	—
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	4	1	no	—
1648	C₄	—	4	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	5	2	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	20	1	no	—
1661	C₄	—	20	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	C₂×D₅×#41	1	1	yes	characteristic
1668	C₄	C₂×D₅×#41	1	1	yes	characteristic
1669	C₂	—	2	2	no	—
1670	C₂	—	8	1	no	—
1671	C₂	—	10	2	no	—
1672	C₂	—	20	1	no	—
1673	C₂	—	40	1	no	—
1674	C₂	D₅×#532	1	1	yes	characteristic
1675	C₂	C₂×#66113	1	1	yes	characteristic
1676	C₂	#10619100	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×#3181	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10612387	C₂
hypercenter	#3181	D₅
hypocenter	C₅	#60708
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3181

Complements

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

N	H ≅ G/N	type
1. #10618180	C₂	semidirect
2. #10618058	C₂	semidirect
3. C₅×#3181	C₂	semidirect
4. #10615075	C₂	semidirect
5. #10614865	C₂	semidirect
6. #10613706	C₂	semidirect
7. #10613691	C₂	semidirect
8. #10613604	C₂	semidirect
9. #10613593	C₂	semidirect
10. #10613469	C₂	semidirect
11. #10613461	C₂	semidirect
12. #10613412	C₂	semidirect
13. #10613398	C₂	semidirect
14. #10612490	C₂	semidirect
15. D₅×#467	C₂	semidirect
16. #10612476	C₂	semidirect
17. #10612472	C₂	semidirect
18. #10612389	C₂	semidirect
20. #10612370	C₂	semidirect
21. #10612364	C₂	semidirect
22. #10611562	C₂	semidirect
23. #10611561	C₂	semidirect
24. #10611556	C₂	semidirect
25. #10611555	C₂	semidirect
26. #10611509	C₂	semidirect
27. #10611507	C₂	semidirect
28. #10611500	C₂	semidirect
29. #10611499	C₂	semidirect
30. #10610235	C₂	semidirect
31. C₂×#64997	C₂	semidirect
83. C₅×#501	C₂²	semidirect
84. C₅×#497	C₂²	semidirect
85. C₅×#491	C₂²	semidirect
86. C₅×#489	C₂²	semidirect
91. C₅×#441	C₂²	semidirect
92. C₅×#441	C₂²	semidirect
93. C₅×#440	C₂²	semidirect
94. C₅×#440	C₂²	semidirect
96. #65479	C₂²	semidirect
99. #65473	C₂²	semidirect
100. Q₁₆×Dic₅	C₂²	semidirect
101. #65470	C₂²	semidirect
104. #65457	C₂²	semidirect
105. #65456	C₂²	semidirect
106. #65453	C₂²	semidirect
107. SD₁₆×Dic₅	C₂²	semidirect
114. #65382	C₂²	semidirect
115. #65381	C₂²	semidirect
116. #65370	C₂²	semidirect
117. #65367	C₂²	semidirect
118. #65357	C₂²	semidirect
119. #65353	C₂²	semidirect
120. #65348	C₂²	semidirect
121. #65345	C₂²	semidirect
130. C₄×#689	C₂²	semidirect
131. C₄×#689	C₂²	semidirect
132. C₄×#689	C₂²	semidirect
133. C₄×#689	C₂²	semidirect
134. C₄×#689	C₂²	semidirect
135. C₄×#688	C₂²	semidirect
136. C₄×#687	C₂²	semidirect
137. C₄×#686	C₂²	semidirect
139. #65178	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65163	C₂²	semidirect
146. #65162	C₂²	semidirect
151. #65147	C₂²	semidirect
152. #65145	C₂²	semidirect
153. #65142	C₂²	semidirect
154. #65141	C₂²	semidirect
155. #65106	C₂²	semidirect
168. #65089	C₂²	semidirect
169. #65086	C₂²	semidirect
170. #65086	C₂²	semidirect
171. #65084	C₂²	semidirect
172. #65081	C₂²	semidirect
173. #65081	C₂²	semidirect
174. #65079	C₂²	semidirect
175. #65079	C₂²	semidirect
176. #65079	C₂²	semidirect
177. #65078	C₂²	semidirect
178. #65078	C₂²	semidirect
183. #65057	C₂²	semidirect
184. #65054	C₂²	semidirect
185. #65046	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65005	C₂²	semidirect
188. #65005	C₂²	semidirect
189. #65004	C₂²	semidirect
190. #65003	C₂²	semidirect
191. #64999	C₂²	semidirect
192. #64999	C₂²	semidirect
201. #64992	C₂²	semidirect
202. #64991	C₂²	semidirect
490. #3181	D₅	semidirect
779. #501	C₂×D₅	semidirect
787. #497	C₂×D₅	semidirect
795. #491	C₂×D₅	semidirect
799. #489	C₂×D₅	semidirect
846. #441	C₂×D₅	semidirect
847. #441	C₂×D₅	semidirect
854. #440	C₂×D₅	semidirect
855. #440	C₂×D₅	semidirect
1624. C₅	#60708	semidirect

Maximal subgroups

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

subgroup	index
#10618180	2
#10618058	2
C₅×#3181	2
#10615075	2
#10614865	2
#10613706	2
#10613691	2
#10613604	2
#10613593	2
#10613469	2
#10613461	2
#10613412	2
#10613398	2
#10612490	2
D₅×#467	2
#10612476	2
#10612472	2
#10612389	2
#10612387	2
#10612370	2
#10612364	2
#10611562	2
#10611561	2
#10611556	2
#10611555	2
#10611509	2
#10611507	2
#10611500	2
#10611499	2
#10610235	2
C₂×#64997	2
#60708	5