Subgroups — #12979225

Order 1280.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#559	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618824	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3370	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615449	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615370	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613446	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613442	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613413	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613406	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613371	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613366	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612961	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612949	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612897	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612882	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612696	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612687	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612266	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612266	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612252	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612248	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612064	C₂	1	1	yes	maximal, characteristic
23	#10612053	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611713	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611693	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611596	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611584	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611505	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611484	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#4057	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611300	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×#554	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4061	C₂²	1	1	yes	characteristic
35	C₂×#4057	C₂²	1	1	yes	characteristic
36	C₂×#4057	C₂²	1	1	yes	characteristic
37	#66062	C₂²	1	1	yes	characteristic
38	#66056	C₂²	1	1	yes	characteristic, complemented
39	D₅×#127	C₂²	1	1	yes	characteristic
40	#66047	C₂²	1	1	yes	characteristic
41	#66022	C₂²	1	1	yes	characteristic
42	#66022	C₂²	1	1	yes	characteristic
43	#66019	C₂²	1	1	yes	characteristic, complemented
44	#66019	C₂²	1	1	yes	characteristic, complemented
45	#66015	—	2	1	no	—
46	#66015	C₂²	1	1	yes	characteristic
47	#66015	C₂²	1	1	yes	characteristic
48	D₅×#124	—	2	1	no	—
49	D₅×#124	C₂²	1	1	yes	characteristic
50	D₅×#124	C₂²	1	1	yes	characteristic
51	#65998	—	2	1	no	—
52	#65998	—	2	1	no	—
53	D₅×#123	—	2	1	no	—
54	D₅×#123	—	2	1	no	—
55	#65970	—	2	1	no	—
56	#65970	—	2	1	no	—
57	#65966	—	2	1	no	—
58	#65956	—	2	1	no	—
59	#65956	—	2	1	no	—
60	#65956	—	2	1	no	—
61	#65919	C₂²	1	1	yes	characteristic
62	#65919	C₂²	1	1	yes	characteristic
63	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	#65901	C₂²	1	1	yes	characteristic, complemented
66	#65893	—	2	1	no	—
67	#65893	C₂²	1	1	yes	characteristic
68	#65893	C₂²	1	1	yes	characteristic
69	C₄×D₄×D₅	—	2	1	no	—
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	#65873	C₂²	1	1	yes	characteristic, complemented
73	#65873	C₂²	1	1	yes	characteristic, complemented
74	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
75	C₄×#711	C₂²	1	1	yes	characteristic
76	C₄×#711	C₂²	1	1	yes	characteristic
77	C₄×#711	C₂²	1	1	yes	characteristic
78	#65845	—	2	1	no	—
79	C₂×#4033	—	2	1	no	—
80	C₅×#490	C₂²	1	1	yes	characteristic
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×#474	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic, complemented
87	C₅×#463	C₂²	1	1	yes	characteristic, complemented
88	C₅×#459	C₂²	1	1	yes	characteristic
89	C₅×#446	C₂²	1	1	yes	characteristic, complemented
90	C₅×#442	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
93	#65454	C₂²	1	1	yes	characteristic, complemented
94	#65454	C₂²	1	1	yes	characteristic, complemented
95	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	#65442	C₂²	1	1	yes	characteristic, complemented
97	#65442	C₂²	1	1	yes	characteristic, complemented
98	#65441	C₂²	1	1	yes	characteristic, complemented
99	#65439	C₂²	1	1	yes	characteristic
100	#65439	C₂²	1	1	yes	characteristic
101	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
102	#65378	C₂²	1	1	yes	characteristic, complemented
103	#65376	C₂²	1	1	yes	characteristic, complemented
104	#65364	C₂²	1	1	yes	characteristic
105	#65360	C₂²	1	1	yes	characteristic
106	#65357	C₂²	1	1	yes	characteristic, complemented
107	#65356	C₂²	1	1	yes	characteristic
108	#65355	C₂²	1	1	yes	characteristic, complemented
109	#65352	C₂²	1	1	yes	characteristic, complemented
110	#65345	C₂²	1	1	yes	characteristic, complemented
111	#65344	C₂²	1	1	yes	characteristic, complemented
112	#65343	C₂²	1	1	yes	characteristic, complemented
113	#65343	C₂²	1	1	yes	characteristic, complemented
114	#65319	C₂²	1	1	yes	characteristic, complemented
115	#65313	C₂²	1	1	yes	characteristic, complemented
116	#65311	C₂²	1	1	yes	characteristic, complemented
117	#65307	C₂²	1	1	yes	characteristic, complemented
118	#65307	C₂²	1	1	yes	characteristic, complemented
119	C₄×#687	C₂²	1	1	yes	characteristic, complemented
120	#65305	C₂²	1	1	yes	characteristic, complemented
121	#65305	C₂²	1	1	yes	characteristic, complemented
122	#65304	C₂²	1	1	yes	characteristic
123	#65303	C₂²	1	1	yes	characteristic, complemented
124	C₄×#686	C₂²	1	1	yes	characteristic, complemented
125	#65298	C₂²	1	1	yes	characteristic, complemented
126	#65297	C₂²	1	1	yes	characteristic, complemented
127	#65180	C₂²	1	1	yes	characteristic, complemented
128	#65180	C₂²	1	1	yes	characteristic, complemented
129	#65179	C₂²	1	1	yes	characteristic, complemented
130	#65178	C₂²	1	1	yes	characteristic, complemented
131	#65170	C₂²	1	1	yes	characteristic
132	#65170	C₂²	1	1	yes	characteristic
133	#65164	C₂²	1	1	yes	characteristic, complemented
134	#65162	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic, complemented
136	#65150	C₂²	1	1	yes	characteristic
137	#65143	C₂²	1	1	yes	characteristic, complemented
138	#65141	C₂²	1	1	yes	characteristic, complemented
139	#65137	C₂²	1	1	yes	characteristic
140	#65136	C₂²	1	1	yes	characteristic, complemented
141	#65134	C₂²	1	1	yes	characteristic, complemented
142	#65134	C₂²	1	1	yes	characteristic, complemented
143	#65131	C₂²	1	1	yes	characteristic, complemented
144	#65126	C₂²	1	1	yes	characteristic
145	#65126	C₂²	1	1	yes	characteristic
146	#65126	C₂²	1	1	yes	characteristic
147	#65119	C₂²	1	1	yes	characteristic, complemented
148	#65118	C₂²	1	1	yes	characteristic, complemented
149	#65117	C₂²	1	1	yes	characteristic, complemented
150	#65117	C₂²	1	1	yes	characteristic, complemented
151	#65091	C₂²	1	1	yes	characteristic
152	#65091	C₂²	1	1	yes	characteristic
153	#65091	C₂²	1	1	yes	characteristic
154	#65089	C₂²	1	1	yes	characteristic, complemented
155	#65089	C₂²	1	1	yes	characteristic, complemented
156	#65087	C₂²	1	1	yes	characteristic, complemented
157	#65087	C₂²	1	1	yes	characteristic, complemented
158	#65084	C₂²	1	1	yes	characteristic, complemented
159	#65084	C₂²	1	1	yes	characteristic, complemented
160	#65083	C₂²	1	1	yes	characteristic, complemented
161	#65080	C₂²	1	1	yes	characteristic, complemented
162	#65079	C₂²	1	1	yes	characteristic, complemented
163	#65074	C₂²	1	1	yes	characteristic, complemented
164	#65060	C₂²	1	1	yes	characteristic
165	#65059	C₂²	1	1	yes	characteristic
166	#65059	C₂²	1	1	yes	characteristic
167	#65059	C₂²	1	1	yes	characteristic
168	#65059	C₂²	1	1	yes	characteristic
169	#65059	C₂²	1	1	yes	characteristic
170	#65059	C₂²	1	1	yes	characteristic
171	#65057	C₂²	1	1	yes	characteristic, complemented
172	#65057	C₂²	1	1	yes	characteristic, complemented
173	#65056	C₂²	1	1	yes	characteristic, complemented
174	#65056	C₂²	1	1	yes	characteristic, complemented
175	#65054	C₂²	1	1	yes	characteristic, complemented
176	#65054	C₂²	1	1	yes	characteristic, complemented
177	#65052	C₂²	1	1	yes	characteristic, complemented
178	#65052	C₂²	1	1	yes	characteristic, complemented
179	#65051	C₂²	1	1	yes	characteristic
180	#65051	C₂²	1	1	yes	characteristic
181	#65050	C₂²	1	1	yes	characteristic, complemented
182	#65049	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic
184	#65049	C₂²	1	1	yes	characteristic
185	#65049	C₂²	1	1	yes	characteristic
186	#65048	C₂²	1	1	yes	characteristic, complemented
187	#65047	C₂²	1	1	yes	characteristic, complemented
188	#65047	C₂²	1	1	yes	characteristic, complemented
189	#65046	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65005	C₂²	1	1	yes	characteristic, complemented
192	#65003	C₂²	1	1	yes	characteristic, complemented
193	#65002	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic, complemented
195	#64996	C₂²	1	1	yes	characteristic
196	#64996	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	C₄×#676	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61324	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	D₄	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×#711	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	—	2	1	no	—
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂²×Dic₁₀	—	2	1	no	—
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
216	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×#127	C₂³	1	1	yes	characteristic
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#124	—	2	1	no	—
222	C₅×#124	C₂³	1	1	yes	characteristic
223	C₅×#124	C₂³	1	1	yes	characteristic
224	C₅×#123	—	2	1	no	—
225	C₅×#123	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	—	2	1	no	—
228	C₅×C₂²⋊Q₈	—	2	1	no	—
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	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₂×C₅×C₄⋊C₄	—	2	1	no	—
238	#4093	—	2	1	no	—
239	#4093	C₂³	1	1	yes	characteristic
240	#4093	C₂³	1	1	yes	characteristic
241	#4092	—	2	1	no	—
242	Q₈×Dic₅	—	2	1	no	—
243	Q₈×Dic₅	D₄	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	—	2	1	no	—
247	#4090	—	2	1	no	—
248	C₂×#689	C₂³	1	1	yes	characteristic
249	#4086	—	2	1	no	—
250	#4086	—	2	1	no	—
251	#4086	C₂³	1	1	yes	characteristic
252	#4086	C₂³	1	1	yes	characteristic
253	#4082	—	2	1	no	—
254	#4082	C₂³	1	1	yes	characteristic
255	#4082	C₂³	1	1	yes	characteristic
256	#4081	—	2	1	no	—
257	#4081	—	2	1	no	—
258	D₄×Dic₅	—	2	1	no	—
259	D₄×Dic₅	C₂³	1	1	yes	characteristic
260	D₄×Dic₅	C₂³	1	1	yes	characteristic
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	D₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#687	C₂³	1	1	yes	characteristic
265	C₂×#687	C₂³	1	1	yes	characteristic
266	C₂×#687	C₂³	1	1	yes	characteristic
267	C₂×#686	C₂³	1	1	yes	characteristic
268	C₂×#686	C₂³	1	1	yes	characteristic
269	#4075	—	2	1	no	—
270	#4075	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	—	2	1	no	—
275	C₄×C₂²⋊D₅	—	2	1	no	—
276	C₄×C₂²⋊D₅	—	2	1	no	—
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	#4070	—	2	1	no	—
279	#4070	—	2	1	no	—
280	#4070	—	2	1	no	—
281	C₂×#683	—	2	1	no	—
282	C₂×#683	—	2	1	no	—
283	C₂×C₄×Dic₅	—	2	1	no	—
284	C₂×C₄×Dic₅	—	2	1	no	—
285	C₂×C₄×Dic₅	—	2	1	no	—
286	#4061	—	2	4	no	—
287	#4057	—	2	4	no	—
288	#4057	—	2	4	no	—
289	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
290	C₂×#677	C₂³	1	1	yes	characteristic
291	C₂×#677	C₂³	1	1	yes	characteristic
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	#4043	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4040	—	2	1	no	—
302	#4040	—	2	1	no	—
303	#4040	—	2	1	no	—
304	#4040	—	2	1	no	—
305	#4039	—	2	1	no	—
306	#4039	C₂³	1	1	yes	characteristic
307	#4039	C₂³	1	1	yes	characteristic
308	#4038	C₂³	1	1	yes	characteristic
309	#4038	C₂³	1	1	yes	characteristic
310	#4038	C₂³	1	1	yes	characteristic
311	D₅×C₄⋊C₄	—	2	1	no	—
312	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
313	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
314	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
315	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	#4036	C₂³	1	1	yes	characteristic
317	#4036	C₂³	1	1	yes	characteristic
318	#4035	—	2	1	no	—
319	#4035	—	2	1	no	—
320	#4035	—	2	1	no	—
321	#4035	—	2	1	no	—
322	#4035	—	2	1	no	—
323	#4035	—	2	1	no	—
324	#4034	—	2	1	no	—
325	#4034	—	2	1	no	—
326	#4034	—	2	1	no	—
327	#4034	C₂³	1	1	yes	characteristic
328	#4034	C₂³	1	1	yes	characteristic
329	#4034	C₂³	1	1	yes	characteristic
330	#4034	C₂³	1	1	yes	characteristic
331	#4033	—	2	1	no	—
332	#4033	—	2	1	no	—
333	#4033	—	2	1	no	—
334	#4033	—	2	1	no	—
335	#4033	—	2	1	no	—
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	D₄	1	1	yes	characteristic
342	#4033	D₄	1	1	yes	characteristic
343	#4033	D₄	1	1	yes	characteristic
344	#4033	C₂³	1	1	yes	characteristic
345	#4033	C₂³	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4033	C₂³	1	1	yes	characteristic
348	#4032	—	2	1	no	—
349	#4032	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4029	—	2	1	no	—
361	#4029	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	D₅×C₂²⋊C₄	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4024	—	2	1	no	—
381	#4023	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4021	—	2	1	no	—
385	#4021	C₂³	1	1	yes	characteristic
386	#4021	C₂³	1	1	yes	characteristic
387	#4020	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	—	2	1	no	—
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄²×D₅	—	2	1	no	—
392	C₄²×D₅	C₂³	1	1	yes	characteristic
393	C₄²×D₅	C₂³	1	1	yes	characteristic
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	#4016	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	#4015	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₀	—	2	1	no	—
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#97	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3949	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#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	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	C₂×#559	—	5	1	no	—
483	Q₈×#41	—	5	1	no	—
484	#3375	—	5	1	no	—
485	#3375	—	5	1	no	—
486	#3373	—	5	1	no	—
487	#3373	—	5	1	no	—
488	#3371	—	5	1	no	—
489	#3371	—	5	1	no	—
490	#3371	—	5	1	no	—
491	#3371	—	5	1	no	—
492	#3370	—	5	1	no	—
493	#3370	—	5	1	no	—
494	#3370	—	5	1	no	—
495	#3370	D₅	1	1	yes	characteristic, complemented
496	#3365	—	5	1	no	—
497	#3365	—	5	1	no	—
498	#3361	—	5	1	no	—
499	#3361	—	5	1	no	—
500	#3140	—	5	1	no	—
501	#3140	—	5	1	no	—
502	#3138	—	5	1	no	—
503	#3078	—	5	1	no	—
504	#3077	—	5	1	no	—
505	#3077	—	5	1	no	—
506	#3040	—	5	1	no	—
507	#3040	—	5	1	no	—
508	#3038	—	5	1	no	—
509	Q₈×M₁₆	—	5	1	no	—
510	C₄×#137	—	5	1	no	—
511	C₄×AGL(1,ℤ/8)	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	—	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×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	2	1	no	—
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	Q₈×D₅	—	2	2	no	—
542	Q₈×D₅	—	2	2	no	—
543	Q₈×D₅	—	4	2	no	—
544	#711	—	2	2	no	—
545	#711	#41	1	4	yes	—
546	D₄×D₅	—	2	2	no	—
547	D₄×D₅	—	2	2	no	—
548	D₄×D₅	—	2	2	no	—
549	D₄×D₅	—	2	2	no	—
550	D₄×D₅	—	4	4	no	—
551	D₄×D₅	—	8	2	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	—	2	1	no	—
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	—	8	2	no	—
563	C₂×C₄×D₅	—	8	2	no	—
564	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	2	1	no	—
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	4	4	no	—
578	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
579	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
580	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
581	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
583	C₅×SD₁₆	—	2	2	no	—
584	C₅×D₈	—	2	2	no	—
585	C₅×D₈	—	2	2	no	—
586	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
587	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
588	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
589	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₄²×C₅	—	2	1	no	—
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
614	C₄²×C₅	C₂⁴	1	1	yes	characteristic
615	C₄²×C₅	C₂⁴	1	1	yes	characteristic
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	#689	—	2	2	no	—
626	#687	—	2	2	no	—
627	#687	—	2	2	no	—
628	#687	—	2	2	no	—
629	#686	—	2	2	no	—
630	#686	—	2	2	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	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	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	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	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
681	#683	C₂×D₄	1	1	yes	characteristic
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
702	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	Dic₂₀	—	2	2	no	—
708	#677	—	2	2	no	—
709	#677	—	2	2	no	—
710	#676	—	2	2	no	—
711	#676	—	2	2	no	—
712	#676	—	2	2	no	—
713	#676	—	2	2	no	—
714	C₂×#137	—	5	1	no	—
715	C₂×AGL(1,ℤ/8)	—	5	1	no	—
716	C₂×AGL(1,ℤ/8)	—	5	1	no	—
717	#559	—	5	1	no	—
718	#559	—	5	1	no	—
719	#559	—	5	1	no	—
720	#559	—	5	1	no	—
721	#559	—	5	1	no	—
722	#559	—	5	1	no	—
723	#559	—	5	1	no	—
724	#559	—	10	1	no	—
725	#559	—	10	1	no	—
726	#559	—	10	1	no	—
727	#559	—	10	1	no	—
728	#559	C₂×D₅	1	1	yes	characteristic
729	Q₈²	—	5	1	no	—
730	#557	—	5	1	no	—
731	#557	—	5	1	no	—
732	#557	—	5	1	no	—
733	#554	—	5	1	no	—
734	#554	—	5	1	no	—
735	#554	—	10	1	no	—
736	#554	—	10	1	no	—
737	#554	—	10	1	no	—
738	#554	C₂×D₅	1	1	yes	characteristic, complemented
739	D₄×Q₈	—	5	1	no	—
740	D₄×Q₈	—	10	1	no	—
741	#533	—	5	1	no	—
742	#533	—	5	1	no	—
743	#533	—	5	1	no	—
744	#533	—	10	1	no	—
745	#533	—	10	1	no	—
746	#533	—	10	1	no	—
747	C₂×#127	—	5	1	no	—
748	C₂×#124	—	5	1	no	—
749	C₂×#124	—	5	1	no	—
750	C₂×#124	—	10	1	no	—
751	C₂×#123	—	10	1	no	—
752	C₂×#123	—	10	1	no	—
753	C₄×#41	—	5	1	no	—
754	C₄×#41	—	5	1	no	—
755	C₄×#41	—	5	1	no	—
756	C₂×C₄×Q₈	—	5	1	no	—
757	C₂×C₄×Q₈	—	5	1	no	—
758	C₂×C₄×Q₈	—	10	1	no	—
759	C₂×C₄×D₄	—	5	1	no	—
760	C₂×C₄×D₄	—	5	1	no	—
761	C₂×C₄×D₄	—	10	1	no	—
762	#490	—	5	1	no	—
763	#490	—	5	1	no	—
764	#490	—	5	1	no	—
765	#490	C₂×D₅	1	1	yes	characteristic
766	#489	—	5	1	no	—
767	#489	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	—	5	1	no	—
771	#489	—	5	1	no	—
772	#489	—	5	1	no	—
773	#489	C₂×D₅	1	1	yes	characteristic, complemented
774	#488	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#488	—	5	1	no	—
779	#488	—	5	1	no	—
780	#488	—	5	1	no	—
781	#488	C₂×D₅	1	1	yes	characteristic, complemented
782	#486	—	5	1	no	—
783	#486	—	5	1	no	—
784	#486	—	5	1	no	—
785	#486	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	C₂×D₅	1	1	yes	characteristic, complemented
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	C₂×D₅	1	1	yes	characteristic, complemented
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	C₂×D₅	1	1	yes	characteristic, complemented
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#463	—	5	1	no	—
823	#463	—	5	1	no	—
824	#463	C₂×D₅	1	1	yes	characteristic, complemented
825	#463	C₂×D₅	1	1	yes	characteristic, complemented
826	#460	—	5	1	no	—
827	#460	—	5	1	no	—
828	#460	—	5	1	no	—
829	#460	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#459	—	5	1	no	—
833	#459	C₂×D₅	1	1	yes	characteristic
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#446	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#446	C₂×D₅	1	1	yes	characteristic, complemented
840	C₈×Q₈	—	5	1	no	—
841	C₈×Q₈	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#442	C₂×D₅	1	1	yes	characteristic, complemented
846	#441	—	5	1	no	—
847	#441	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
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	—	5	1	no	—
862	C₄×D₈	—	5	1	no	—
863	C₄×D₈	—	5	1	no	—
864	C₄×D₈	—	5	1	no	—
865	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
866	#428	—	5	1	no	—
867	#428	—	5	1	no	—
868	#428	—	5	1	no	—
869	#423	—	5	1	no	—
870	#423	—	5	1	no	—
871	#423	—	5	1	no	—
872	#419	—	5	1	no	—
873	#419	—	5	1	no	—
874	#419	—	5	1	no	—
875	#418	—	5	1	no	—
876	#418	—	5	1	no	—
877	#418	—	5	1	no	—
878	#418	—	5	1	no	—
879	#418	—	5	1	no	—
880	#418	—	5	1	no	—
881	#417	—	5	1	no	—
882	C₄×M₁₆	—	5	1	no	—
883	C₄×M₁₆	—	5	1	no	—
884	C₄×M₁₆	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	—	2	1	no	—
887	C₂³×C₅	—	2	1	no	—
888	C₂²×D₅	—	2	1	no	—
889	C₂²×D₅	—	2	1	no	—
890	C₂²×D₅	—	4	2	no	—
891	C₂²×D₅	—	4	2	no	—
892	C₂²×D₅	—	4	2	no	—
893	C₂²×D₅	—	4	2	no	—
894	C₂²×D₅	—	4	2	no	—
895	C₂²×D₅	—	4	2	no	—
896	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	4	1	no	—
900	C₅×Q₈	—	8	1	no	—
901	C₅×D₄	—	2	1	no	—
902	C₅×D₄	—	2	1	no	—
903	C₅×D₄	—	2	1	no	—
904	C₅×D₄	—	2	1	no	—
905	C₅×D₄	—	2	1	no	—
906	C₅×D₄	—	4	2	no	—
907	C₅×D₄	—	8	1	no	—
908	C₅×D₄	C₂×#41	1	2	yes	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	4	2	no	—
915	C₂×C₄×C₅	—	8	1	no	—
916	C₂×C₄×C₅	—	8	1	no	—
917	C₂×C₄×C₅	—	8	1	no	—
918	C₂×C₄×C₅	—	8	1	no	—
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
926	C₂²⋊D₅	—	2	4	no	—
927	C₂²⋊D₅	—	4	2	no	—
928	C₂²⋊D₅	—	4	2	no	—
929	C₂²⋊D₅	—	4	2	no	—
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	—	8	1	no	—
932	C₂²⋊D₅	—	8	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	4	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	—	4	2	no	—
941	C₂×Dic₅	—	4	2	no	—
942	C₂×Dic₅	—	8	1	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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	D₂₀	—	2	1	no	—
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	2	1	no	—
956	D₂₀	—	4	2	no	—
957	D₂₀	—	8	1	no	—
958	C₄×D₅	—	2	2	no	—
959	C₄×D₅	—	4	1	no	—
960	C₄×D₅	—	4	1	no	—
961	C₄×D₅	—	4	1	no	—
962	C₄×D₅	—	4	1	no	—
963	C₄×D₅	—	4	1	no	—
964	C₄×D₅	—	4	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	C₂×#41	1	2	yes	—
971	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	2	2	no	—
974	Dic₁₀	—	2	2	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	2	1	no	—
977	Dic₁₀	—	4	1	no	—
978	Dic₁₀	—	4	2	no	—
979	Dic₁₀	—	4	2	no	—
980	Dic₁₀	—	4	2	no	—
981	Dic₁₀	—	4	2	no	—
982	Dic₁₀	—	8	1	no	—
983	Dic₁₀	—	8	1	no	—
984	Dic₁₀	C₂×#41	1	2	yes	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	—	2	1	no	—
988	C₅×C₈	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	—	2	1	no	—
992	#168	—	2	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂²×Q₈	—	5	1	no	—
995	C₂²×Q₈	—	5	1	no	—
996	C₂²×Q₈	—	10	1	no	—
997	C₂²×D₄	—	5	1	no	—
998	C₂²×D₄	—	5	1	no	—
999	C₂²×D₄	—	10	1	no	—
1000	C₂²×D₄	—	10	1	no	—
1001	C₂³×C₄	—	10	1	no	—
1002	C₂³×C₄	—	10	1	no	—
1003	#137	—	10	4	no	—
1004	AGL(1,ℤ/8)	—	10	4	no	—
1005	AGL(1,ℤ/8)	—	10	4	no	—
1006	C₂×Q₁₆	—	5	1	no	—
1007	C₂×Q₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	5	1	no	—
1012	C₂×SD₁₆	—	5	1	no	—
1013	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1017	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂×M₁₆	—	5	1	no	—
1020	C₂×M₁₆	—	5	1	no	—
1021	C₂×M₁₆	—	5	1	no	—
1022	C₄⋊Q₈	—	5	1	no	—
1023	C₄⋊Q₈	—	5	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	—	5	1	no	—
1027	C₄⋊Q₈	—	10	1	no	—
1028	C₄⋊Q₈	—	10	1	no	—
1029	C₄⋊Q₈	—	10	1	no	—
1030	C₄⋊Q₈	—	10	1	no	—
1031	C₄⋊Q₈	—	10	1	no	—
1032	C₄⋊Q₈	—	10	1	no	—
1033	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1034	#127	—	5	1	no	—
1035	#127	—	5	1	no	—
1036	#127	—	5	1	no	—
1037	#127	—	10	1	no	—
1038	#127	—	10	1	no	—
1039	#127	C₂²×D₅	1	1	yes	characteristic
1040	#125	—	5	1	no	—
1041	#125	—	5	1	no	—
1042	#125	—	5	1	no	—
1043	#125	—	5	1	no	—
1044	#125	—	10	1	no	—
1045	#125	—	10	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	C₂²×D₅	1	1	yes	characteristic
1051	#125	C₂²×D₅	1	1	yes	characteristic
1052	#124	—	2	1	no	—
1053	#124	—	5	1	no	—
1054	#124	—	5	1	no	—
1055	#124	—	5	1	no	—
1056	#124	—	5	1	no	—
1057	#124	—	5	1	no	—
1058	#124	—	5	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	—	10	1	no	—
1068	#124	—	10	1	no	—
1069	#124	—	10	1	no	—
1070	#124	C₂²×D₅	1	1	yes	characteristic
1071	#124	C₂²×D₅	1	1	yes	characteristic
1072	#123	—	2	1	no	—
1073	#123	—	2	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	#123	—	10	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	2	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	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	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	—	10	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	—	10	1	no	—
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×D₄	—	2	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	—	5	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	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1164	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1165	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1166	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1167	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1168	#117	—	5	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	10	1	no	—
1172	#117	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	2	1	no	—
1175	C₂×C₄⋊C₄	—	5	1	no	—
1176	C₂×C₄⋊C₄	—	5	1	no	—
1177	C₂×C₄⋊C₄	—	5	1	no	—
1178	C₂×C₄⋊C₄	—	5	1	no	—
1179	C₂×C₄⋊C₄	—	10	1	no	—
1180	C₂×C₄⋊C₄	—	10	1	no	—
1181	C₂×C₄⋊C₄	—	10	1	no	—
1182	C₂×C₂²⋊C₄	—	10	1	no	—
1183	C₂×C₂²⋊C₄	—	10	1	no	—
1184	C₂×C₂²⋊C₄	—	10	1	no	—
1185	C₂×C₂²⋊C₄	—	10	1	no	—
1186	C₂×C₂²⋊C₄	—	10	1	no	—
1187	C₂×C₂²⋊C₄	—	10	1	no	—
1188	C₂×C₄²	—	5	1	no	—
1189	C₂×C₄²	—	5	1	no	—
1190	C₂×C₄²	—	5	1	no	—
1191	C₂×C₄²	—	10	1	no	—
1192	C₂×C₄²	—	10	1	no	—
1193	C₂×C₄²	—	10	1	no	—
1194	C₂×C₄²	—	10	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	C₂²×D₅	1	1	yes	characteristic
1200	#107	C₂²×D₅	1	1	yes	characteristic
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	—	5	1	no	—
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	C₂²×D₅	1	1	yes	characteristic
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1217	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	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	—	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	#102	C₂²×D₅	1	1	yes	characteristic
1255	#102	C₂²×D₅	1	1	yes	characteristic
1256	#102	C₂²×D₅	1	1	yes	characteristic
1257	#102	C₂²×D₅	1	1	yes	characteristic
1258	#102	C₂²×D₅	1	1	yes	characteristic
1259	#97	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	—	5	1	no	—
1263	#97	C₂²×D₅	1	1	yes	characteristic
1264	#97	C₂²×D₅	1	1	yes	characteristic
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	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1271	C₂²×C₅	—	2	2	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	—	4	1	no	—
1277	C₂²×C₅	—	4	1	no	—
1278	C₂²×C₅	—	4	1	no	—
1279	C₂²×C₅	—	4	1	no	—
1280	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	2	1	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	8	4	no	—
1290	C₂×D₅	—	8	4	no	—
1291	C₂×D₅	#548	1	2	yes	—
1292	C₄×C₅	—	2	1	no	—
1293	C₄×C₅	—	2	1	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	—	4	1	no	—
1299	C₄×C₅	—	4	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	—	4	1	no	—
1302	C₄×C₅	—	4	1	no	—
1303	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1304	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	2	1	no	—
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	2	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	2	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	#548	1	2	yes	—
1317	Dic₅	#575	1	2	yes	—
1318	C₂⁴	—	10	1	no	—
1319	C₂⁴	—	10	1	no	—
1320	#41	—	5	4	no	—
1321	#41	—	10	2	no	—
1322	C₂×Q₈	—	2	1	no	—
1323	C₂×Q₈	—	5	1	no	—
1324	C₂×Q₈	—	5	1	no	—
1325	C₂×Q₈	—	5	1	no	—
1326	C₂×Q₈	—	5	1	no	—
1327	C₂×Q₈	—	5	1	no	—
1328	C₂×Q₈	—	10	1	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	10	1	no	—
1331	C₂×Q₈	—	10	1	no	—
1332	C₂×Q₈	—	10	1	no	—
1333	C₂×Q₈	—	10	2	no	—
1334	C₂×Q₈	—	10	2	no	—
1335	C₂×Q₈	—	10	1	no	—
1336	C₂×Q₈	—	20	4	no	—
1337	C₂×Q₈	—	20	2	no	—
1338	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1339	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	5	1	no	—
1344	C₂×D₄	—	10	2	no	—
1345	C₂×D₄	—	10	2	no	—
1346	C₂×D₄	—	10	2	no	—
1347	C₂×D₄	—	10	2	no	—
1348	C₂×D₄	—	10	1	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	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	20	4	no	—
1358	C₂×D₄	—	40	2	no	—
1359	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1360	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1361	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	5	1	no	—
1371	C₂²×C₄	—	5	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	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	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	—	10	1	no	—
1383	C₂²×C₄	—	10	1	no	—
1384	C₂²×C₄	—	10	1	no	—
1385	C₂²×C₄	—	10	1	no	—
1386	C₂²×C₄	—	40	2	no	—
1387	C₂²×C₄	—	40	2	no	—
1388	Q₁₆	—	10	2	no	—
1389	Q₁₆	—	10	2	no	—
1390	SD₁₆	—	2	2	no	—
1391	SD₁₆	—	10	2	no	—
1392	SD₁₆	—	10	2	no	—
1393	SD₁₆	—	10	2	no	—
1394	SD₁₆	—	10	2	no	—
1395	SD₁₆	—	10	2	no	—
1396	D₈	—	2	2	no	—
1397	D₈	—	2	2	no	—
1398	D₈	—	10	2	no	—
1399	D₈	—	10	2	no	—
1400	M₁₆	—	10	2	no	—
1401	M₁₆	—	10	2	no	—
1402	M₁₆	—	10	2	no	—
1403	M₁₆	—	10	2	no	—
1404	C₂×C₈	—	5	1	no	—
1405	C₂×C₈	—	5	1	no	—
1406	C₂×C₈	—	5	1	no	—
1407	C₂×C₈	—	5	1	no	—
1408	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1411	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
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	—	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	—	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	—	5	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	D₄×D₅	1	1	yes	characteristic
1455	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1456	C₄⋊C₄	D₄×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	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	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	C₄²	—	2	1	no	—
1495	C₄²	—	5	1	no	—
1496	C₄²	—	5	1	no	—
1497	C₄²	—	5	1	no	—
1498	C₄²	—	5	1	no	—
1499	C₄²	—	5	1	no	—
1500	C₄²	—	5	1	no	—
1501	C₄²	—	5	1	no	—
1502	C₄²	—	5	1	no	—
1503	C₄²	—	5	1	no	—
1504	C₄²	—	10	1	no	—
1505	C₄²	—	10	1	no	—
1506	C₄²	—	10	1	no	—
1507	C₄²	—	10	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	C₂³×D₅	1	1	yes	characteristic
1517	C₄²	C₂³×D₅	1	1	yes	characteristic
1518	C₄²	C₂³×D₅	1	1	yes	characteristic
1519	C₂×C₅	—	4	2	no	—
1520	C₂×C₅	—	8	1	no	—
1521	C₂×C₅	—	8	1	no	—
1522	C₂×C₅	C₂×#548	1	1	yes	characteristic
1523	C₂×C₅	C₂×#575	1	1	yes	characteristic
1524	C₂×C₅	#3585	1	1	yes	characteristic
1525	D₅	—	2	2	no	—
1526	D₅	—	8	1	no	—
1527	D₅	—	8	1	no	—
1528	C₂³	—	2	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	1	no	—
1531	C₂³	—	5	1	no	—
1532	C₂³	—	10	1	no	—
1533	C₂³	—	10	1	no	—
1534	C₂³	—	20	2	no	—
1535	C₂³	—	20	2	no	—
1536	C₂³	—	20	2	no	—
1537	C₂³	—	20	2	no	—
1538	C₂³	—	20	2	no	—
1539	C₂³	—	20	2	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	4	1	no	—
1543	Q₈	—	5	2	no	—
1544	Q₈	—	8	1	no	—
1545	Q₈	—	10	2	no	—
1546	Q₈	—	10	2	no	—
1547	Q₈	—	10	1	no	—
1548	Q₈	—	10	1	no	—
1549	Q₈	—	10	1	no	—
1550	Q₈	—	20	1	no	—
1551	Q₈	—	20	2	no	—
1552	Q₈	—	20	2	no	—
1553	Q₈	—	20	2	no	—
1554	Q₈	—	20	2	no	—
1555	Q₈	—	40	1	no	—
1556	Q₈	—	40	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	2	1	no	—
1560	D₄	—	2	1	no	—
1561	D₄	—	2	1	no	—
1562	D₄	—	4	2	no	—
1563	D₄	—	8	1	no	—
1564	D₄	—	10	4	no	—
1565	D₄	—	10	1	no	—
1566	D₄	—	10	1	no	—
1567	D₄	—	10	1	no	—
1568	D₄	—	10	1	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	D₅×#41	1	2	yes	—
1578	C₂×C₄	—	2	1	no	—
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	—	4	2	no	—
1584	C₂×C₄	—	5	1	no	—
1585	C₂×C₄	—	5	1	no	—
1586	C₂×C₄	—	5	2	no	—
1587	C₂×C₄	—	5	2	no	—
1588	C₂×C₄	—	5	1	no	—
1589	C₂×C₄	—	5	1	no	—
1590	C₂×C₄	—	5	1	no	—
1591	C₂×C₄	—	5	1	no	—
1592	C₂×C₄	—	5	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	10	2	no	—
1598	C₂×C₄	—	10	4	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	—	20	1	no	—
1606	C₂×C₄	—	20	1	no	—
1607	C₂×C₄	—	20	1	no	—
1608	C₂×C₄	—	20	1	no	—
1609	C₂×C₄	—	20	1	no	—
1610	C₂×C₄	—	20	2	no	—
1611	C₂×C₄	—	20	2	no	—
1612	C₂×C₄	—	20	2	no	—
1613	C₂×C₄	—	20	2	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	C₂×D₄×D₅	1	1	yes	characteristic
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	C₂⁴×D₅	1	1	yes	characteristic
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	10	1	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	—	10	1	no	—
1636	C₅	#61324	1	1	yes	characteristic, complemented, Sylow
1637	C₂²	—	2	2	no	—
1638	C₂²	—	4	1	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	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	5	2	no	—
1647	C₂²	—	10	1	no	—
1648	C₂²	—	10	1	no	—
1649	C₂²	—	20	1	no	—
1650	C₂²	—	20	1	no	—
1651	C₂²	—	20	1	no	—
1652	C₂²	—	20	1	no	—
1653	C₂²	—	20	1	no	—
1654	C₂²	—	20	1	no	—
1655	C₂²	—	40	4	no	—
1656	C₂²	—	40	4	no	—
1657	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1658	C₄	—	2	1	no	—
1659	C₄	—	2	1	no	—
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	5	2	no	—
1670	C₄	—	5	2	no	—
1671	C₄	—	10	2	no	—
1672	C₄	—	10	1	no	—
1673	C₄	—	10	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	10	1	no	—
1676	C₄	—	10	1	no	—
1677	C₄	—	20	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	C₂×D₅×#41	1	1	yes	characteristic
1683	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1684	C₂	—	4	2	no	—
1685	C₂	—	8	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	10	2	no	—
1688	C₂	—	40	1	no	—
1689	C₂	—	40	1	no	—
1690	C₂	D₅×#548	1	1	yes	characteristic
1691	C₂	D₅×#575	1	1	yes	characteristic
1692	C₂	#10619105	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×#3370	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10612064	C₂
hypercenter	#3370	D₅
hypocenter	C₅	#61324
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3370

Complements

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

N	H ≅ G/N	type
1. D₅×#559	C₂	semidirect
2. #10618824	C₂	semidirect
3. C₅×#3370	C₂	semidirect
4. #10615449	C₂	semidirect
5. #10615370	C₂	semidirect
6. #10613446	C₂	semidirect
7. #10613442	C₂	semidirect
8. #10613413	C₂	semidirect
9. #10613406	C₂	semidirect
10. #10613371	C₂	semidirect
11. #10613366	C₂	semidirect
12. #10612961	C₂	semidirect
13. #10612949	C₂	semidirect
14. #10612897	C₂	semidirect
15. #10612882	C₂	semidirect
16. #10612696	C₂	semidirect
17. #10612687	C₂	semidirect
18. #10612266	C₂	semidirect
19. #10612266	C₂	semidirect
20. #10612252	C₂	semidirect
21. #10612248	C₂	semidirect
23. #10612053	C₂	semidirect
24. #10611713	C₂	semidirect
25. #10611693	C₂	semidirect
26. #10611596	C₂	semidirect
27. #10611584	C₂	semidirect
28. #10611505	C₂	semidirect
29. #10611484	C₂	semidirect
30. C₄×#4057	C₂	semidirect
31. #10611300	C₂	semidirect
33. C₅×#554	C₂²	semidirect
38. #66056	C₂²	semidirect
43. #66019	C₂²	semidirect
44. #66019	C₂²	semidirect
65. #65901	C₂²	semidirect
72. #65873	C₂²	semidirect
73. #65873	C₂²	semidirect
74. D₄×Dic₁₀	C₂²	semidirect
81. C₅×#489	C₂²	semidirect
82. C₅×#488	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₅×#474	C₂²	semidirect
86. C₅×#463	C₂²	semidirect
87. C₅×#463	C₂²	semidirect
89. C₅×#446	C₂²	semidirect
90. C₅×#442	C₂²	semidirect
91. C₅×#440	C₂²	semidirect
92. C₄×C₅×D₈	C₂²	semidirect
93. #65454	C₂²	semidirect
94. #65454	C₂²	semidirect
95. SD₁₆×Dic₅	C₂²	semidirect
96. #65442	C₂²	semidirect
97. #65442	C₂²	semidirect
98. #65441	C₂²	semidirect
101. D₈×Dic₅	C₂²	semidirect
102. #65378	C₂²	semidirect
103. #65376	C₂²	semidirect
106. #65357	C₂²	semidirect
108. #65355	C₂²	semidirect
109. #65352	C₂²	semidirect
110. #65345	C₂²	semidirect
111. #65344	C₂²	semidirect
112. #65343	C₂²	semidirect
113. #65343	C₂²	semidirect
114. #65319	C₂²	semidirect
115. #65313	C₂²	semidirect
116. #65311	C₂²	semidirect
117. #65307	C₂²	semidirect
118. #65307	C₂²	semidirect
119. C₄×#687	C₂²	semidirect
120. #65305	C₂²	semidirect
121. #65305	C₂²	semidirect
123. #65303	C₂²	semidirect
124. C₄×#686	C₂²	semidirect
125. #65298	C₂²	semidirect
126. #65297	C₂²	semidirect
127. #65180	C₂²	semidirect
128. #65180	C₂²	semidirect
129. #65179	C₂²	semidirect
130. #65178	C₂²	semidirect
133. #65164	C₂²	semidirect
134. #65162	C₂²	semidirect
135. #65159	C₂²	semidirect
137. #65143	C₂²	semidirect
138. #65141	C₂²	semidirect
140. #65136	C₂²	semidirect
141. #65134	C₂²	semidirect
142. #65134	C₂²	semidirect
143. #65131	C₂²	semidirect
147. #65119	C₂²	semidirect
148. #65118	C₂²	semidirect
149. #65117	C₂²	semidirect
150. #65117	C₂²	semidirect
154. #65089	C₂²	semidirect
155. #65089	C₂²	semidirect
156. #65087	C₂²	semidirect
157. #65087	C₂²	semidirect
158. #65084	C₂²	semidirect
159. #65084	C₂²	semidirect
160. #65083	C₂²	semidirect
161. #65080	C₂²	semidirect
162. #65079	C₂²	semidirect
163. #65074	C₂²	semidirect
171. #65057	C₂²	semidirect
172. #65057	C₂²	semidirect
173. #65056	C₂²	semidirect
174. #65056	C₂²	semidirect
175. #65054	C₂²	semidirect
176. #65054	C₂²	semidirect
177. #65052	C₂²	semidirect
178. #65052	C₂²	semidirect
181. #65050	C₂²	semidirect
186. #65048	C₂²	semidirect
187. #65047	C₂²	semidirect
188. #65047	C₂²	semidirect
189. #65046	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65005	C₂²	semidirect
192. #65003	C₂²	semidirect
194. #64999	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
495. #3370	D₅	semidirect
738. #554	C₂×D₅	semidirect
773. #489	C₂×D₅	semidirect
781. #488	C₂×D₅	semidirect
789. #479	C₂×D₅	semidirect
797. #478	C₂×D₅	semidirect
809. #474	C₂×D₅	semidirect
824. #463	C₂×D₅	semidirect
825. #463	C₂×D₅	semidirect
839. #446	C₂×D₅	semidirect
845. #442	C₂×D₅	semidirect
853. #440	C₂×D₅	semidirect
865. C₄×D₈	C₂×D₅	semidirect
1636. C₅	#61324	semidirect

Maximal subgroups

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

subgroup	index
D₅×#559	2
#10618824	2
C₅×#3370	2
#10615449	2
#10615370	2
#10613446	2
#10613442	2
#10613413	2
#10613406	2
#10613371	2
#10613366	2
#10612961	2
#10612949	2
#10612897	2
#10612882	2
#10612696	2
#10612687	2
#10612266	2
#10612252	2
#10612248	2
#10612064	2
#10612053	2
#10611713	2
#10611693	2
#10611596	2
#10611584	2
#10611505	2
#10611484	2
C₄×#4057	2
#10611300	2
#61324	5