Subgroups — #12979856

Order 1280.

1766 conjugacy classes of subgroups.

The subgroup lattice has 1596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618178	C₂	1	1	yes	maximal, characteristic, complemented
2	#41×Dic₁₀	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3076	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615071	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614237	C₂	1	1	yes	maximal, characteristic
6	#10612958	C₂	1	1	yes	maximal, characteristic, complemented
7	#10612956	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612955	C₂	1	1	yes	maximal, characteristic, complemented
9	#10612954	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612894	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612892	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612890	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612889	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612836	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612834	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612788	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612786	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612739	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612738	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612693	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612691	C₂	1	1	yes	maximal, characteristic, complemented
22	#10610927	C₂	1	1	yes	maximal, characteristic, complemented
23	#10610927	C₂	1	1	yes	maximal, characteristic, complemented
24	#10610902	C₂	1	1	yes	maximal, characteristic, complemented
25	#10610901	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610756	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#65117	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610550	C₂	1	1	yes	maximal, characteristic
31	#10610549	C₂	1	1	yes	maximal, characteristic
32	C₅×#533	C₂²	1	1	yes	characteristic
33	C₄×C₅×#41	C₂²	1	1	yes	characteristic
34	#41×Dic₅	C₂²	1	1	yes	characteristic
35	#41×Dic₅	C₂²	1	1	yes	characteristic
36	C₂×#4096	C₂²	1	1	yes	characteristic
37	#66064	C₂²	1	1	yes	characteristic
38	#66061	C₂²	1	1	yes	characteristic
39	#66056	C₂²	1	1	yes	characteristic
40	#66055	C₂²	1	1	yes	characteristic
41	#66024	C₂²	1	1	yes	characteristic
42	#66024	C₂²	1	1	yes	characteristic
43	#66019	C₂²	1	1	yes	characteristic
44	#66019	C₂²	1	1	yes	characteristic
45	#65970	—	2	1	no	—
46	#65970	—	2	1	no	—
47	#65969	—	2	1	no	—
48	#65966	—	2	1	no	—
49	#65912	—	2	1	no	—
50	#65912	—	2	1	no	—
51	#65912	—	2	1	no	—
52	C₄×Q₈×D₅	—	2	1	no	—
53	#65904	C₂²	1	1	yes	characteristic
54	#65903	C₂²	1	1	yes	characteristic
55	#65903	C₂²	1	1	yes	characteristic
56	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic
57	#65877	—	2	1	no	—
58	#65877	C₂²	1	1	yes	characteristic
59	#65873	—	2	1	no	—
60	#65873	—	2	1	no	—
61	#65873	C₂²	1	1	yes	characteristic
62	#65873	C₂²	1	1	yes	characteristic
63	D₄×Dic₁₀	—	2	1	no	—
64	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
65	#65856	C₂²	1	1	yes	characteristic
66	#65856	C₂²	1	1	yes	characteristic
67	#65851	—	2	1	no	—
68	#65851	—	2	1	no	—
69	#65851	C₂²	1	1	yes	characteristic
70	#65851	C₂²	1	1	yes	characteristic
71	#65851	C₂²	1	1	yes	characteristic
72	#65851	C₂²	1	1	yes	characteristic
73	C₄×#709	C₂²	1	1	yes	characteristic
74	#65804	—	2	1	no	—
75	#65804	C₂²	1	1	yes	characteristic
76	C₂×C₄×Dic₁₀	—	2	1	no	—
77	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
78	C₅×#479	C₂²	1	1	yes	characteristic
79	C₅×#479	C₂²	1	1	yes	characteristic
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#478	C₂²	1	1	yes	characteristic
82	C₅×#477	C₂²	1	1	yes	characteristic
83	C₅×#476	C₂²	1	1	yes	characteristic
84	C₅×#475	C₂²	1	1	yes	characteristic
85	C₅×#474	C₂²	1	1	yes	characteristic
86	C₅×#427	C₂²	1	1	yes	characteristic
87	C₅×#427	C₂²	1	1	yes	characteristic
88	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
89	C₅×#416	C₂²	1	1	yes	characteristic
90	C₅×#416	C₂²	1	1	yes	characteristic
91	#65522	C₂²	1	1	yes	characteristic
92	#65402	C₂²	1	1	yes	characteristic
93	#65402	C₂²	1	1	yes	characteristic
94	#65395	C₂²	1	1	yes	characteristic
95	#65395	C₂²	1	1	yes	characteristic
96	C₂×#3947	C₂²	1	1	yes	characteristic
97	C₂×#3946	C₂²	1	1	yes	characteristic
98	C₂×#3946	C₂²	1	1	yes	characteristic
99	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
100	#65369	C₂²	1	1	yes	characteristic
101	#65369	C₂²	1	1	yes	characteristic
102	#65369	C₂²	1	1	yes	characteristic
103	#65369	C₂²	1	1	yes	characteristic
104	#65354	C₂²	1	1	yes	characteristic
105	#65354	C₂²	1	1	yes	characteristic
106	#65354	C₂²	1	1	yes	characteristic
107	#65354	C₂²	1	1	yes	characteristic
108	#65319	C₂²	1	1	yes	characteristic
109	#65319	C₂²	1	1	yes	characteristic
110	#65315	C₂²	1	1	yes	characteristic
111	#65315	C₂²	1	1	yes	characteristic
112	#65307	C₂²	1	1	yes	characteristic
113	#65307	C₂²	1	1	yes	characteristic
114	#65303	C₂²	1	1	yes	characteristic
115	#65303	C₂²	1	1	yes	characteristic
116	#65291	C₂²	1	1	yes	characteristic
117	#65287	C₂²	1	1	yes	characteristic
118	#65287	C₂²	1	1	yes	characteristic
119	#65287	C₂²	1	1	yes	characteristic
120	#65287	C₂²	1	1	yes	characteristic
121	#65287	C₂²	1	1	yes	characteristic
122	C₂×#3935	C₂²	1	1	yes	characteristic
123	#65180	C₂²	1	1	yes	characteristic
124	#65180	C₂²	1	1	yes	characteristic
125	#65179	C₂²	1	1	yes	characteristic
126	#65179	C₂²	1	1	yes	characteristic
127	#65167	C₂²	1	1	yes	characteristic
128	#65167	C₂²	1	1	yes	characteristic
129	#65166	C₂²	1	1	yes	characteristic
130	#65166	C₂²	1	1	yes	characteristic
131	#65165	C₂²	1	1	yes	characteristic
132	#65165	C₂²	1	1	yes	characteristic
133	#65165	C₂²	1	1	yes	characteristic
134	#65165	C₂²	1	1	yes	characteristic
135	#65164	C₂²	1	1	yes	characteristic
136	#65164	C₂²	1	1	yes	characteristic
137	#65163	C₂²	1	1	yes	characteristic
138	#65163	C₂²	1	1	yes	characteristic
139	#65160	C₂²	1	1	yes	characteristic
140	#65160	C₂²	1	1	yes	characteristic
141	#65159	C₂²	1	1	yes	characteristic
142	#65159	C₂²	1	1	yes	characteristic
143	#65147	C₂²	1	1	yes	characteristic
144	#65147	C₂²	1	1	yes	characteristic
145	#65146	C₂²	1	1	yes	characteristic
146	#65146	C₂²	1	1	yes	characteristic
147	#65145	C₂²	1	1	yes	characteristic
148	#65145	C₂²	1	1	yes	characteristic
149	#65145	C₂²	1	1	yes	characteristic
150	#65145	C₂²	1	1	yes	characteristic
151	#65144	C₂²	1	1	yes	characteristic
152	#65144	C₂²	1	1	yes	characteristic
153	#65143	C₂²	1	1	yes	characteristic
154	#65143	C₂²	1	1	yes	characteristic
155	#65140	C₂²	1	1	yes	characteristic
156	#65139	C₂²	1	1	yes	characteristic
157	#65136	C₂²	1	1	yes	characteristic
158	#65136	C₂²	1	1	yes	characteristic
159	#65135	C₂²	1	1	yes	characteristic
160	#65131	C₂²	1	1	yes	characteristic
161	#65118	C₂²	1	1	yes	characteristic
162	#65118	C₂²	1	1	yes	characteristic
163	#65117	C₂²	1	1	yes	characteristic
164	#65117	C₂²	1	1	yes	characteristic
165	#65117	C₂²	1	1	yes	characteristic
166	#65117	C₂²	1	1	yes	characteristic
167	#65117	C₂²	1	1	yes	characteristic
168	#65117	C₂²	1	1	yes	characteristic
169	#65117	C₂²	1	1	yes	characteristic
170	#65117	C₂²	1	1	yes	characteristic
171	#65106	C₂²	1	1	yes	characteristic
172	#65106	C₂²	1	1	yes	characteristic
173	#65088	C₂²	1	1	yes	characteristic
174	#65088	C₂²	1	1	yes	characteristic
175	#65085	C₂²	1	1	yes	characteristic
176	#65085	C₂²	1	1	yes	characteristic
177	#65083	C₂²	1	1	yes	characteristic
178	#65083	C₂²	1	1	yes	characteristic
179	#65080	C₂²	1	1	yes	characteristic
180	#65080	C₂²	1	1	yes	characteristic
181	#65079	C₂²	1	1	yes	characteristic
182	#65079	C₂²	1	1	yes	characteristic
183	#65078	C₂²	1	1	yes	characteristic
184	#65078	C₂²	1	1	yes	characteristic
185	#65077	C₂²	1	1	yes	characteristic
186	#65077	C₂²	1	1	yes	characteristic
187	#65074	C₂²	1	1	yes	characteristic
188	#65074	C₂²	1	1	yes	characteristic
189	#65055	C₂²	1	1	yes	characteristic
190	#65055	C₂²	1	1	yes	characteristic
191	#65052	C₂²	1	1	yes	characteristic
192	#65052	C₂²	1	1	yes	characteristic
193	#65050	C₂²	1	1	yes	characteristic
194	#65050	C₂²	1	1	yes	characteristic
195	#65048	C₂²	1	1	yes	characteristic
196	#65048	C₂²	1	1	yes	characteristic
197	#65047	C₂²	1	1	yes	characteristic
198	#65047	C₂²	1	1	yes	characteristic
199	#65046	C₂²	1	1	yes	characteristic
200	#65046	C₂²	1	1	yes	characteristic
201	#65045	C₂²	1	1	yes	characteristic
202	#65045	C₂²	1	1	yes	characteristic
203	#61365	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×#709	C₂³	1	1	yes	characteristic
207	C₂²×Dic₁₀	—	2	1	no	—
208	C₂²×Dic₁₀	D₄	1	1	yes	characteristic
209	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
210	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
211	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₅×#125	C₂³	1	1	yes	characteristic
214	C₅×#125	C₂³	1	1	yes	characteristic
215	C₅×C₂²⋊Q₈	—	2	1	no	—
216	C₅×C₂²⋊Q₈	—	2	1	no	—
217	C₄×C₅×Q₈	—	2	1	no	—
218	C₄×C₅×Q₈	—	2	1	no	—
219	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
220	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
221	C₄×C₅×D₄	—	2	1	no	—
222	C₄×C₅×D₄	—	2	1	no	—
223	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
224	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
225	C₅×#117	—	2	1	no	—
226	C₅×#117	C₂³	1	1	yes	characteristic
227	C₅×#117	C₂³	1	1	yes	characteristic
228	C₅×#117	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₅	—	2	1	no	—
230	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
231	#4096	Q₈	1	8	yes	complemented
232	#4092	—	2	1	no	—
233	#4092	—	2	1	no	—
234	#4092	—	2	1	no	—
235	Q₈×Dic₅	—	2	1	no	—
236	Q₈×Dic₅	C₂³	1	1	yes	characteristic
237	Q₈×Dic₅	C₂³	1	1	yes	characteristic
238	Q₈×Dic₅	C₂³	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	#4090	—	2	1	no	—
241	#4090	—	2	1	no	—
242	#4090	—	2	1	no	—
243	C₂×#689	C₂³	1	1	yes	characteristic
244	C₂×#688	C₂³	1	1	yes	characteristic
245	D₄×Dic₅	—	2	1	no	—
246	D₄×Dic₅	—	2	1	no	—
247	D₄×Dic₅	—	2	1	no	—
248	D₄×Dic₅	—	2	1	no	—
249	D₄×Dic₅	C₂³	1	1	yes	characteristic
250	D₄×Dic₅	C₂³	1	1	yes	characteristic
251	D₄×Dic₅	C₂³	1	1	yes	characteristic
252	D₄×Dic₅	C₂³	1	1	yes	characteristic
253	C₂×#687	C₂³	1	1	yes	characteristic
254	C₂×#686	C₂³	1	1	yes	characteristic
255	C₄×C₂²⋊D₅	—	2	1	no	—
256	C₄×C₂²⋊D₅	—	2	1	no	—
257	#4072	—	2	1	no	—
258	#4072	—	2	1	no	—
259	#4072	C₂³	1	1	yes	characteristic
260	#4072	C₂³	1	1	yes	characteristic
261	#4072	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊Dic₅	—	2	1	no	—
263	C₂×C₄⋊Dic₅	D₄	1	1	yes	characteristic
264	#4070	—	2	1	no	—
265	#4070	—	2	1	no	—
266	#4070	—	2	1	no	—
267	#4070	—	2	1	no	—
268	#4070	—	2	1	no	—
269	#4070	—	2	1	no	—
270	C₂×#683	—	2	1	no	—
271	C₂×#683	—	2	1	no	—
272	C₂×#683	D₄	1	1	yes	characteristic
273	C₂×#683	D₄	1	1	yes	characteristic
274	C₂×C₄×Dic₅	—	2	1	no	—
275	C₂×C₄×Dic₅	—	2	1	no	—
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂²×#168	C₂³	1	1	yes	characteristic
279	C₂²×#168	C₂³	1	1	yes	characteristic
280	#4043	—	2	1	no	—
281	#4043	—	2	1	no	—
282	#4043	—	2	1	no	—
283	#4042	—	2	1	no	—
284	#4042	—	2	1	no	—
285	#4042	—	2	1	no	—
286	#4042	—	2	1	no	—
287	#4042	—	2	1	no	—
288	#4042	—	2	1	no	—
289	#4039	C₂³	1	1	yes	characteristic
290	#4039	C₂³	1	1	yes	characteristic
291	#4039	C₂³	1	1	yes	characteristic
292	#4039	C₂³	1	1	yes	characteristic
293	D₅×C₄⋊C₄	—	2	1	no	—
294	D₅×C₄⋊C₄	—	2	1	no	—
295	D₅×C₄⋊C₄	—	2	1	no	—
296	#4036	—	2	1	no	—
297	#4036	—	2	1	no	—
298	#4036	—	2	1	no	—
299	#4036	—	2	1	no	—
300	#4036	C₂³	1	1	yes	characteristic
301	#4036	C₂³	1	1	yes	characteristic
302	#4036	C₂³	1	1	yes	characteristic
303	#4036	C₂³	1	1	yes	characteristic
304	#4036	C₂³	1	1	yes	characteristic
305	#4036	C₂³	1	1	yes	characteristic
306	#4036	C₂³	1	1	yes	characteristic
307	#4036	C₂³	1	1	yes	characteristic
308	#4035	—	2	1	no	—
309	#4035	—	2	1	no	—
310	#4035	—	2	1	no	—
311	#4035	—	2	1	no	—
312	#4035	—	2	1	no	—
313	#4035	—	2	1	no	—
314	#4034	—	2	1	no	—
315	#4034	—	2	1	no	—
316	#4034	—	2	1	no	—
317	#4034	—	2	1	no	—
318	#4034	—	2	1	no	—
319	#4034	—	2	1	no	—
320	#4034	—	2	1	no	—
321	#4034	C₂³	1	1	yes	characteristic
322	#4034	C₂³	1	1	yes	characteristic
323	#4034	C₂³	1	1	yes	characteristic
324	#4034	C₂³	1	1	yes	characteristic
325	#4034	C₂³	1	1	yes	characteristic
326	#4034	C₂³	1	1	yes	characteristic
327	#4034	C₂³	1	1	yes	characteristic
328	#4034	C₂³	1	1	yes	characteristic
329	#4033	—	2	1	no	—
330	#4033	—	2	1	no	—
331	#4033	—	2	1	no	—
332	#4033	C₂³	1	1	yes	characteristic
333	#4033	C₂³	1	1	yes	characteristic
334	#4033	C₂³	1	1	yes	characteristic
335	#4033	C₂³	1	1	yes	characteristic
336	#4027	—	2	1	no	—
337	#4027	—	2	1	no	—
338	#4027	—	2	1	no	—
339	#4027	—	2	1	no	—
340	#4024	—	2	1	no	—
341	#4024	—	2	1	no	—
342	#4024	—	2	1	no	—
343	#4024	—	2	1	no	—
344	#4024	—	2	1	no	—
345	#4024	—	2	1	no	—
346	#4024	—	2	1	no	—
347	#4024	—	2	1	no	—
348	#4024	—	2	1	no	—
349	#4024	—	2	1	no	—
350	#4024	—	2	1	no	—
351	#4024	—	2	1	no	—
352	#4024	—	2	1	no	—
353	#4024	—	2	1	no	—
354	#4024	—	2	1	no	—
355	#4024	—	2	1	no	—
356	C₄×D₂₀	C₂³	1	1	yes	characteristic
357	C₄×D₂₀	C₂³	1	1	yes	characteristic
358	#4018	—	2	1	no	—
359	#4018	—	2	1	no	—
360	#4018	—	2	1	no	—
361	C₄²×D₅	—	2	1	no	—
362	C₄²×D₅	—	2	1	no	—
363	C₄²×D₅	—	2	1	no	—
364	#4016	—	2	1	no	—
365	#4016	—	2	1	no	—
366	#4016	C₂³	1	1	yes	characteristic
367	#4016	C₂³	1	1	yes	characteristic
368	#4015	—	2	1	no	—
369	#4015	—	2	1	no	—
370	#4015	C₂³	1	1	yes	characteristic
371	#4015	C₂³	1	1	yes	characteristic
372	C₄×Dic₁₀	—	2	1	no	—
373	C₄×Dic₁₀	—	2	1	no	—
374	C₄×Dic₁₀	—	2	1	no	—
375	C₄×Dic₁₀	—	2	1	no	—
376	C₄×Dic₁₀	—	2	1	no	—
377	C₄×Dic₁₀	—	2	1	no	—
378	C₄×Dic₁₀	—	2	1	no	—
379	C₄×Dic₁₀	—	2	1	no	—
380	C₄×Dic₁₀	—	2	1	no	—
381	C₄×Dic₁₀	—	2	1	no	—
382	C₄×Dic₁₀	—	2	1	no	—
383	C₄×Dic₁₀	—	2	1	no	—
384	C₄×Dic₁₀	—	2	1	no	—
385	C₄×Dic₁₀	—	2	1	no	—
386	C₄×Dic₁₀	D₄	1	1	yes	characteristic
387	C₄×Dic₁₀	D₄	1	1	yes	characteristic
388	C₄×Dic₁₀	D₄	1	1	yes	characteristic
389	C₄×Dic₁₀	D₄	1	1	yes	characteristic
390	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
391	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
392	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
393	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#107	C₂³	1	1	yes	characteristic
398	C₅×#107	C₂³	1	1	yes	characteristic
399	C₅×#107	C₂³	1	1	yes	characteristic
400	C₅×#106	C₂³	1	1	yes	characteristic
401	C₅×#106	C₂³	1	1	yes	characteristic
402	C₅×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₅×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	#3967	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3964	C₂³	1	1	yes	characteristic
419	#3964	C₂³	1	1	yes	characteristic
420	#3953	C₂³	1	1	yes	characteristic
421	#3953	C₂³	1	1	yes	characteristic
422	#3953	C₂³	1	1	yes	characteristic
423	#3953	C₂³	1	1	yes	characteristic
424	#3950	C₂³	1	1	yes	characteristic
425	#3950	C₂³	1	1	yes	characteristic
426	#3950	C₂³	1	1	yes	characteristic
427	#3950	C₂³	1	1	yes	characteristic
428	#3949	C₂³	1	1	yes	characteristic
429	#3949	C₂³	1	1	yes	characteristic
430	#3949	C₂³	1	1	yes	characteristic
431	#3949	C₂³	1	1	yes	characteristic
432	#3948	C₂³	1	1	yes	characteristic
433	#3948	C₂³	1	1	yes	characteristic
434	#3948	C₂³	1	1	yes	characteristic
435	#3948	C₂³	1	1	yes	characteristic
436	#3947	C₂³	1	1	yes	characteristic
437	#3947	C₂³	1	1	yes	characteristic
438	#3947	C₂³	1	1	yes	characteristic
439	#3947	C₂³	1	1	yes	characteristic
440	#3946	C₂³	1	1	yes	characteristic
441	#3946	C₂³	1	1	yes	characteristic
442	#3946	C₂³	1	1	yes	characteristic
443	#3946	C₂³	1	1	yes	characteristic
444	#3946	C₂³	1	1	yes	characteristic
445	#3946	C₂³	1	1	yes	characteristic
446	#3946	C₂³	1	1	yes	characteristic
447	#3946	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	C₈×Dic₅	C₂³	1	1	yes	characteristic
450	C₈×Dic₅	C₂³	1	1	yes	characteristic
451	C₈×Dic₅	C₂³	1	1	yes	characteristic
452	#3942	C₂³	1	1	yes	characteristic
453	#3942	C₂³	1	1	yes	characteristic
454	#3941	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3940	C₂³	1	1	yes	characteristic
457	#3940	C₂³	1	1	yes	characteristic
458	#3940	C₂³	1	1	yes	characteristic
459	#3940	C₂³	1	1	yes	characteristic
460	#3940	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3939	C₂³	1	1	yes	characteristic
467	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	#3935	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	Q₈×#41	—	5	1	no	—
481	Q₈×#41	—	5	1	no	—
482	#3390	—	5	1	no	—
483	#3390	—	5	1	no	—
484	#3389	—	5	1	no	—
485	#3389	—	5	1	no	—
486	#3388	—	5	1	no	—
487	#3388	—	5	1	no	—
488	#3388	—	5	1	no	—
489	#3388	—	5	1	no	—
490	#3387	—	5	1	no	—
491	#3387	—	5	1	no	—
492	#3386	—	5	1	no	—
493	#3386	—	5	1	no	—
494	#3385	—	5	1	no	—
495	#3385	—	5	1	no	—
496	#3384	—	5	1	no	—
497	#3384	—	5	1	no	—
498	#3162	—	5	1	no	—
499	#3162	—	5	1	no	—
500	#3160	—	5	1	no	—
501	#3076	—	5	1	no	—
502	#3076	—	5	1	no	—
503	#3076	—	5	1	no	—
504	#3076	—	5	1	no	—
505	#3076	—	5	1	no	—
506	#3076	D₅	1	1	yes	characteristic, complemented
507	C₂×#446	—	5	1	no	—
508	#2943	—	5	1	no	—
509	#2943	—	5	1	no	—
510	C₄×#135	—	5	1	no	—
511	C₅×#41	—	2	2	no	—
512	C₅×#41	C₂×Q₈	1	4	yes	complemented
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
522	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂²×Dic₅	—	2	1	no	—
526	C₂²×Dic₅	—	2	1	no	—
527	C₂²×Dic₅	—	2	1	no	—
528	C₂²×Dic₅	—	2	1	no	—
529	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
533	Q₈×D₅	—	4	4	no	—
534	#709	—	2	2	no	—
535	#709	C₂×Q₈	1	4	yes	complemented
536	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
537	C₂×C₄×D₅	—	2	1	no	—
538	C₂×C₄×D₅	—	2	1	no	—
539	C₂×C₄×D₅	—	2	1	no	—
540	C₂×C₄×D₅	—	2	1	no	—
541	C₂×C₄×D₅	—	2	1	no	—
542	C₂×C₄×D₅	—	2	1	no	—
543	C₂×C₄×D₅	—	2	1	no	—
544	C₂×Dic₁₀	—	2	1	no	—
545	C₂×Dic₁₀	—	2	1	no	—
546	C₂×Dic₁₀	—	2	1	no	—
547	C₂×Dic₁₀	—	2	1	no	—
548	C₂×Dic₁₀	—	2	1	no	—
549	C₂×Dic₁₀	—	2	1	no	—
550	C₂×Dic₁₀	—	2	1	no	—
551	C₂×Dic₁₀	—	2	1	no	—
552	C₂×Dic₁₀	—	2	1	no	—
553	C₂×Dic₁₀	—	2	1	no	—
554	C₂×Dic₁₀	—	4	2	no	—
555	C₂×Dic₁₀	—	4	4	no	—
556	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
557	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
558	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
559	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
560	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
561	C₂×C₅×C₈	—	2	2	no	—
562	C₂×C₅×C₈	—	2	2	no	—
563	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
567	C₅×C₄⋊C₄	—	2	1	no	—
568	C₅×C₄⋊C₄	—	2	1	no	—
569	C₅×C₄⋊C₄	—	2	1	no	—
570	C₅×C₄⋊C₄	—	2	1	no	—
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
576	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
577	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
578	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₅×C₂²⋊C₄	—	2	1	no	—
582	C₅×C₂²⋊C₄	—	2	1	no	—
583	C₅×C₂²⋊C₄	—	2	1	no	—
584	C₅×C₂²⋊C₄	—	2	1	no	—
585	C₅×C₂²⋊C₄	—	2	1	no	—
586	C₄²×C₅	—	2	1	no	—
587	C₄²×C₅	—	2	1	no	—
588	C₄²×C₅	—	2	1	no	—
589	C₄²×C₅	—	2	1	no	—
590	C₄²×C₅	—	2	1	no	—
591	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
592	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
593	C₄²×C₅	C₂⁴	1	1	yes	characteristic
594	C₄²×C₅	C₂⁴	1	1	yes	characteristic
595	C₂²⋊Dic₅	—	2	1	no	—
596	C₂²⋊Dic₅	—	2	1	no	—
597	C₂²⋊Dic₅	—	2	1	no	—
598	C₂²⋊Dic₅	—	2	1	no	—
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
601	C₂²⋊Dic₅	—	2	1	no	—
602	#689	C₂×Q₈	1	4	yes	complemented
603	#688	C₂×Q₈	1	4	yes	complemented
604	#687	C₂×Q₈	1	4	yes	complemented
605	#686	C₂×Q₈	1	4	yes	complemented
606	#685	—	2	1	no	—
607	#685	—	2	1	no	—
608	#685	—	2	1	no	—
609	#685	—	2	1	no	—
610	#685	—	2	1	no	—
611	#685	—	2	1	no	—
612	C₄⋊Dic₅	—	2	1	no	—
613	C₄⋊Dic₅	—	2	1	no	—
614	C₄⋊Dic₅	—	2	1	no	—
615	C₄⋊Dic₅	—	2	1	no	—
616	C₄⋊Dic₅	—	2	1	no	—
617	C₄⋊Dic₅	—	2	1	no	—
618	C₄⋊Dic₅	—	2	1	no	—
619	C₄⋊Dic₅	—	2	1	no	—
620	C₄⋊Dic₅	—	2	1	no	—
621	C₄⋊Dic₅	—	2	1	no	—
622	C₄⋊Dic₅	—	2	1	no	—
623	C₄⋊Dic₅	—	2	1	no	—
624	C₄⋊Dic₅	—	2	1	no	—
625	C₄⋊Dic₅	—	2	1	no	—
626	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
627	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
630	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
631	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
632	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
633	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
634	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
635	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
636	#683	—	2	1	no	—
637	#683	—	2	1	no	—
638	#683	—	2	1	no	—
639	#683	—	2	1	no	—
640	#683	—	2	1	no	—
641	#683	—	2	1	no	—
642	#683	—	2	1	no	—
643	#683	—	2	1	no	—
644	#683	—	2	1	no	—
645	#683	—	2	1	no	—
646	#683	—	2	1	no	—
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	C₂×D₄	1	1	yes	characteristic
663	#683	C₂×D₄	1	1	yes	characteristic
664	#683	C₂×D₄	1	1	yes	characteristic
665	#683	C₂×D₄	1	1	yes	characteristic
666	#683	C₂×D₄	1	1	yes	characteristic
667	#683	C₂×D₄	1	1	yes	characteristic
668	#683	C₂×D₄	1	1	yes	characteristic
669	#683	C₂×D₄	1	1	yes	characteristic
670	C₄×Dic₅	—	2	1	no	—
671	C₄×Dic₅	—	2	1	no	—
672	C₄×Dic₅	—	2	1	no	—
673	C₄×Dic₅	—	2	1	no	—
674	C₄×Dic₅	—	2	1	no	—
675	C₄×Dic₅	—	2	1	no	—
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
688	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
691	C₂×#168	—	2	2	no	—
692	C₂×#168	C₂×Q₈	1	4	yes	complemented
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#135	—	5	1	no	—
698	Q₈²	—	5	1	no	—
699	Q₈²	—	5	1	no	—
700	#557	—	5	1	no	—
701	#557	—	5	1	no	—
702	#557	—	5	1	no	—
703	#557	—	5	1	no	—
704	#557	—	5	1	no	—
705	#557	—	5	1	no	—
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	10	1	no	—
713	#554	—	10	1	no	—
714	#554	—	10	1	no	—
715	#554	—	10	1	no	—
716	#554	—	10	1	no	—
717	#554	—	10	1	no	—
718	D₄×Q₈	—	5	1	no	—
719	D₄×Q₈	—	5	1	no	—
720	D₄×Q₈	—	10	1	no	—
721	D₄×Q₈	—	10	1	no	—
722	#533	—	5	1	no	—
723	#533	—	5	1	no	—
724	#533	—	5	1	no	—
725	#533	—	5	1	no	—
726	#533	—	5	1	no	—
727	#533	—	10	1	no	—
728	#533	—	10	1	no	—
729	#533	—	10	1	no	—
730	#533	—	10	1	no	—
731	#533	—	10	1	no	—
732	#533	—	10	1	no	—
733	#533	C₂×D₅	1	1	yes	characteristic
734	C₄×#41	—	5	1	no	—
735	C₄×#41	—	5	1	no	—
736	C₄×#41	—	5	1	no	—
737	C₄×#41	—	5	1	no	—
738	C₄×#41	—	5	1	no	—
739	C₄×#41	C₂×D₅	1	1	yes	characteristic
740	C₂×C₄×Q₈	—	5	1	no	—
741	C₂×C₄×Q₈	—	10	1	no	—
742	C₂×C₄×Q₈	—	10	1	no	—
743	#501	—	5	1	no	—
744	#501	—	5	1	no	—
745	#501	—	5	1	no	—
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#501	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#501	—	5	1	no	—
752	#501	—	5	1	no	—
753	#501	—	5	1	no	—
754	#501	—	5	1	no	—
755	#501	—	5	1	no	—
756	#501	—	5	1	no	—
757	#501	—	5	1	no	—
758	#501	—	5	1	no	—
759	#500	—	5	1	no	—
760	#500	—	5	1	no	—
761	#499	—	5	1	no	—
762	#499	—	5	1	no	—
763	#499	—	5	1	no	—
764	#499	—	5	1	no	—
765	#498	—	5	1	no	—
766	#498	—	5	1	no	—
767	#479	—	5	1	no	—
768	#479	—	5	1	no	—
769	#479	—	5	1	no	—
770	#479	—	5	1	no	—
771	#479	—	5	1	no	—
772	#479	—	5	1	no	—
773	#479	—	5	1	no	—
774	#479	—	5	1	no	—
775	#479	—	5	1	no	—
776	#479	—	5	1	no	—
777	#479	C₂×D₅	1	1	yes	characteristic
778	#479	C₂×D₅	1	1	yes	characteristic
779	#478	—	5	1	no	—
780	#478	—	5	1	no	—
781	#478	—	5	1	no	—
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	C₂×D₅	1	1	yes	characteristic
790	#478	C₂×D₅	1	1	yes	characteristic
791	#477	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	C₂×D₅	1	1	yes	characteristic
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	C₂×D₅	1	1	yes	characteristic
803	#475	—	5	1	no	—
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	C₂×D₅	1	1	yes	characteristic
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	C₂×D₅	1	1	yes	characteristic
815	#446	—	5	1	no	—
816	#446	—	5	1	no	—
817	#446	—	5	1	no	—
818	#446	—	5	1	no	—
819	#446	—	5	1	no	—
820	#446	—	5	1	no	—
821	#446	—	5	1	no	—
822	#446	—	5	1	no	—
823	#442	—	5	1	no	—
824	#442	—	5	1	no	—
825	#442	—	5	1	no	—
826	#442	—	5	1	no	—
827	#441	—	5	1	no	—
828	#441	—	5	1	no	—
829	#441	—	5	1	no	—
830	#441	—	5	1	no	—
831	#440	—	5	1	no	—
832	#440	—	5	1	no	—
833	#440	—	5	1	no	—
834	#440	—	5	1	no	—
835	#440	—	5	1	no	—
836	#440	—	5	1	no	—
837	#440	—	5	1	no	—
838	#440	—	5	1	no	—
839	C₄×Q₁₆	—	5	1	no	—
840	C₄×Q₁₆	—	5	1	no	—
841	C₄×SD₁₆	—	5	1	no	—
842	C₄×SD₁₆	—	5	1	no	—
843	C₄×SD₁₆	—	5	1	no	—
844	C₄×SD₁₆	—	5	1	no	—
845	C₄×D₈	—	5	1	no	—
846	C₄×D₈	—	5	1	no	—
847	#427	—	5	1	no	—
848	#427	—	5	1	no	—
849	#427	—	5	1	no	—
850	#427	—	5	1	no	—
851	#427	—	5	1	no	—
852	#427	—	5	1	no	—
853	#427	—	5	1	no	—
854	#427	C₂×D₅	1	1	yes	characteristic
855	#427	C₂×D₅	1	1	yes	characteristic
856	C₂×C₄⋊C₈	—	5	1	no	—
857	C₂×C₄⋊C₈	—	5	1	no	—
858	C₂×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic
859	#416	—	5	1	no	—
860	#416	—	5	1	no	—
861	#416	—	5	1	no	—
862	#416	—	5	1	no	—
863	#416	C₂×D₅	1	1	yes	characteristic
864	#416	C₂×D₅	1	1	yes	characteristic
865	C₂×#97	—	5	1	no	—
866	C₂×#97	—	5	1	no	—
867	C₂×C₄×C₈	—	5	1	no	—
868	C₂³×C₅	—	2	1	no	—
869	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
870	C₂²×D₅	—	2	1	no	—
871	C₅×Q₈	—	2	1	no	—
872	C₅×Q₈	—	4	2	no	—
873	C₅×Q₈	—	8	1	no	—
874	C₅×Q₈	C₂²×Q₈	1	2	yes	—
875	C₅×D₄	—	2	4	no	—
876	C₅×D₄	—	2	1	no	—
877	C₅×D₄	C₂²×Q₈	1	2	yes	—
878	C₂×C₄×C₅	—	2	1	no	—
879	C₂×C₄×C₅	—	2	4	no	—
880	C₂×C₄×C₅	—	2	1	no	—
881	C₂×C₄×C₅	—	2	1	no	—
882	C₂×C₄×C₅	—	2	1	no	—
883	C₂×C₄×C₅	—	2	1	no	—
884	C₂×C₄×C₅	—	2	1	no	—
885	C₂×C₄×C₅	—	2	1	no	—
886	C₂×C₄×C₅	—	4	1	no	—
887	C₂×C₄×C₅	—	4	1	no	—
888	C₂×C₄×C₅	—	4	2	no	—
889	C₂×C₄×C₅	—	8	1	no	—
890	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
891	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
892	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
893	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
894	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
895	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
896	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
897	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
898	C₂²⋊D₅	—	2	4	no	—
899	C₂×Dic₅	—	2	1	no	—
900	C₂×Dic₅	—	2	2	no	—
901	C₂×Dic₅	—	2	1	no	—
902	C₂×Dic₅	—	2	1	no	—
903	C₂×Dic₅	—	2	1	no	—
904	C₂×Dic₅	—	2	1	no	—
905	C₂×Dic₅	—	2	1	no	—
906	C₂×Dic₅	—	2	1	no	—
907	C₂×Dic₅	—	4	1	no	—
908	C₂×Dic₅	—	4	1	no	—
909	C₂×Dic₅	—	4	1	no	—
910	C₂×Dic₅	—	4	2	no	—
911	C₂×Dic₅	—	4	2	no	—
912	C₂×Dic₅	—	8	1	no	—
913	C₂×Dic₅	—	8	1	no	—
914	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
922	D₂₀	—	2	1	no	—
923	D₂₀	C₂²×Q₈	1	2	yes	—
924	C₄×D₅	—	2	4	no	—
925	C₄×D₅	—	4	2	no	—
926	C₄×D₅	—	4	2	no	—
927	C₄×D₅	—	4	2	no	—
928	C₄×D₅	—	8	1	no	—
929	C₄×D₅	—	8	1	no	—
930	C₄×D₅	—	8	1	no	—
931	Dic₁₀	—	2	1	no	—
932	Dic₁₀	—	2	2	no	—
933	Dic₁₀	—	2	2	no	—
934	Dic₁₀	—	4	1	no	—
935	Dic₁₀	—	4	1	no	—
936	Dic₁₀	—	4	2	no	—
937	Dic₁₀	—	4	2	no	—
938	Dic₁₀	—	4	2	no	—
939	Dic₁₀	—	4	2	no	—
940	Dic₁₀	—	4	2	no	—
941	Dic₁₀	—	8	1	no	—
942	Dic₁₀	—	8	1	no	—
943	Dic₁₀	—	8	1	no	—
944	Dic₁₀	—	8	1	no	—
945	Dic₁₀	—	8	1	no	—
946	Dic₁₀	C₂²×Q₈	1	2	yes	—
947	C₅×C₈	—	2	1	no	—
948	C₅×C₈	—	2	1	no	—
949	C₅×C₈	—	2	1	no	—
950	C₅×C₈	—	2	1	no	—
951	#168	—	2	1	no	—
952	#168	—	2	1	no	—
953	#168	C₂²×Q₈	1	2	yes	—
954	#168	C₂²×Q₈	1	2	yes	—
955	C₂×#41	—	5	1	no	—
956	C₂×#41	C₂²×D₅	1	1	yes	characteristic
957	C₂²×Q₈	—	5	1	no	—
958	C₂²×Q₈	—	10	1	no	—
959	C₂²×Q₈	—	10	1	no	—
960	#135	—	5	8	no	—
961	C₂×Q₁₆	—	5	1	no	—
962	C₂×SD₁₆	—	5	1	no	—
963	C₂×SD₁₆	—	5	1	no	—
964	C₂×D₈	—	5	1	no	—
965	C₂²×C₈	—	5	1	no	—
966	C₂²×C₈	—	5	1	no	—
967	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
968	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
969	C₄⋊Q₈	—	5	1	no	—
970	C₄⋊Q₈	—	5	1	no	—
971	C₄⋊Q₈	—	5	1	no	—
972	C₄⋊Q₈	—	5	1	no	—
973	C₄⋊Q₈	—	5	1	no	—
974	C₄⋊Q₈	—	5	1	no	—
975	C₄⋊Q₈	—	5	1	no	—
976	C₄⋊Q₈	—	5	1	no	—
977	C₄⋊Q₈	—	5	1	no	—
978	C₄⋊Q₈	—	5	1	no	—
979	C₄⋊Q₈	—	10	1	no	—
980	C₄⋊Q₈	—	10	1	no	—
981	C₄⋊Q₈	—	10	1	no	—
982	C₄⋊Q₈	—	10	1	no	—
983	C₄⋊Q₈	—	10	1	no	—
984	C₄⋊Q₈	—	10	1	no	—
985	C₄⋊Q₈	—	10	1	no	—
986	C₄⋊Q₈	—	10	1	no	—
987	C₄⋊Q₈	—	10	1	no	—
988	C₄⋊Q₈	—	10	1	no	—
989	C₄⋊Q₈	—	10	1	no	—
990	C₄⋊Q₈	—	10	1	no	—
991	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
992	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
993	#125	—	5	1	no	—
994	#125	—	5	1	no	—
995	#125	—	5	1	no	—
996	#125	—	5	1	no	—
997	#125	—	5	1	no	—
998	#125	—	5	1	no	—
999	#125	—	5	1	no	—
1000	#125	—	5	1	no	—
1001	#125	—	5	1	no	—
1002	#125	—	5	1	no	—
1003	#125	—	10	1	no	—
1004	#125	—	10	1	no	—
1005	#125	—	10	1	no	—
1006	#125	—	10	1	no	—
1007	#125	—	10	1	no	—
1008	#125	—	10	1	no	—
1009	#125	—	10	1	no	—
1010	#125	—	10	1	no	—
1011	#125	—	10	1	no	—
1012	#125	—	10	1	no	—
1013	#125	—	10	1	no	—
1014	#125	—	10	1	no	—
1015	#125	C₂²×D₅	1	1	yes	characteristic
1016	#125	C₂²×D₅	1	1	yes	characteristic
1017	C₂²⋊Q₈	—	2	1	no	—
1018	C₂²⋊Q₈	—	2	1	no	—
1019	C₂²⋊Q₈	—	10	1	no	—
1020	C₂²⋊Q₈	—	10	1	no	—
1021	C₂²⋊Q₈	—	10	1	no	—
1022	C₂²⋊Q₈	—	10	1	no	—
1023	C₂²⋊Q₈	—	10	1	no	—
1024	C₂²⋊Q₈	—	10	1	no	—
1025	C₂²⋊Q₈	—	10	1	no	—
1026	C₂²⋊Q₈	—	10	1	no	—
1027	C₂²⋊Q₈	—	10	1	no	—
1028	C₂²⋊Q₈	—	10	1	no	—
1029	C₂²⋊Q₈	—	10	1	no	—
1030	C₂²⋊Q₈	—	10	1	no	—
1031	C₂²⋊Q₈	—	10	1	no	—
1032	C₂²⋊Q₈	—	10	1	no	—
1033	C₂²⋊Q₈	—	10	1	no	—
1034	C₂²⋊Q₈	—	10	1	no	—
1035	C₂²⋊Q₈	—	10	1	no	—
1036	C₂²⋊Q₈	—	10	1	no	—
1037	C₂²⋊Q₈	—	10	1	no	—
1038	C₂²⋊Q₈	—	10	1	no	—
1039	C₂²⋊Q₈	—	10	1	no	—
1040	C₂²⋊Q₈	—	10	1	no	—
1041	C₂²⋊Q₈	—	10	1	no	—
1042	C₂²⋊Q₈	—	10	1	no	—
1043	C₂²⋊Q₈	—	10	1	no	—
1044	C₂²⋊Q₈	—	10	1	no	—
1045	C₂²⋊Q₈	—	10	1	no	—
1046	C₂²⋊Q₈	—	10	1	no	—
1047	C₂²⋊Q₈	—	10	1	no	—
1048	C₂²⋊Q₈	—	10	1	no	—
1049	C₂²⋊Q₈	—	10	1	no	—
1050	C₂²⋊Q₈	—	10	1	no	—
1051	C₂²⋊Q₈	—	10	1	no	—
1052	C₂²⋊Q₈	—	10	1	no	—
1053	C₄×Q₈	—	2	1	no	—
1054	C₄×Q₈	—	2	1	no	—
1055	C₄×Q₈	—	5	1	no	—
1056	C₄×Q₈	—	5	1	no	—
1057	C₄×Q₈	—	5	1	no	—
1058	C₄×Q₈	—	5	1	no	—
1059	C₄×Q₈	—	5	1	no	—
1060	C₄×Q₈	—	5	1	no	—
1061	C₄×Q₈	—	5	1	no	—
1062	C₄×Q₈	—	5	1	no	—
1063	C₄×Q₈	—	5	1	no	—
1064	C₄×Q₈	—	5	1	no	—
1065	C₄×Q₈	—	5	1	no	—
1066	C₄×Q₈	—	5	1	no	—
1067	C₄×Q₈	—	5	1	no	—
1068	C₄×Q₈	—	5	1	no	—
1069	C₄×Q₈	—	5	1	no	—
1070	C₄×Q₈	—	5	1	no	—
1071	C₄×Q₈	—	5	1	no	—
1072	C₄×Q₈	—	5	1	no	—
1073	C₄×Q₈	—	10	1	no	—
1074	C₄×Q₈	—	10	1	no	—
1075	C₄×Q₈	—	10	1	no	—
1076	C₄×Q₈	—	10	1	no	—
1077	C₄×Q₈	—	10	1	no	—
1078	C₄×Q₈	—	10	1	no	—
1079	C₄×Q₈	—	10	1	no	—
1080	C₄×Q₈	—	10	1	no	—
1081	C₄×Q₈	—	10	1	no	—
1082	C₄×Q₈	—	10	1	no	—
1083	C₄×Q₈	—	10	1	no	—
1084	C₄×Q₈	—	10	1	no	—
1085	C₄×Q₈	—	10	1	no	—
1086	C₄×Q₈	—	10	1	no	—
1087	C₄×Q₈	—	10	1	no	—
1088	C₄×Q₈	—	10	1	no	—
1089	C₄×Q₈	—	10	1	no	—
1090	C₄×Q₈	—	10	1	no	—
1091	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1092	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1093	C₄×D₄	—	2	1	no	—
1094	C₄×D₄	—	2	1	no	—
1095	C₄×D₄	—	5	1	no	—
1096	C₄×D₄	—	5	1	no	—
1097	C₄×D₄	—	5	1	no	—
1098	C₄×D₄	—	5	1	no	—
1099	C₄×D₄	—	5	1	no	—
1100	C₄×D₄	—	5	1	no	—
1101	C₄×D₄	—	5	1	no	—
1102	C₄×D₄	—	5	1	no	—
1103	C₄×D₄	—	5	1	no	—
1104	C₄×D₄	—	5	1	no	—
1105	C₄×D₄	—	10	1	no	—
1106	C₄×D₄	—	10	1	no	—
1107	C₄×D₄	—	10	1	no	—
1108	C₄×D₄	—	10	1	no	—
1109	C₄×D₄	—	10	1	no	—
1110	C₄×D₄	—	10	1	no	—
1111	C₄×D₄	—	10	1	no	—
1112	C₄×D₄	—	10	1	no	—
1113	C₄×D₄	—	10	1	no	—
1114	C₄×D₄	—	10	1	no	—
1115	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1116	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1117	#117	—	2	1	no	—
1118	#117	—	5	1	no	—
1119	#117	—	5	1	no	—
1120	#117	—	5	1	no	—
1121	#117	—	10	1	no	—
1122	#117	—	10	1	no	—
1123	#117	—	10	1	no	—
1124	#117	—	10	1	no	—
1125	#117	—	10	1	no	—
1126	#117	C₂²×D₅	1	1	yes	characteristic
1127	#117	C₂²×D₅	1	1	yes	characteristic
1128	#117	C₂²×D₅	1	1	yes	characteristic
1129	C₂×C₄⋊C₄	—	5	1	no	—
1130	C₂×C₄⋊C₄	—	5	1	no	—
1131	C₂×C₄⋊C₄	—	5	1	no	—
1132	C₂×C₄⋊C₄	—	10	1	no	—
1133	C₂×C₄⋊C₄	—	10	1	no	—
1134	C₂×C₄⋊C₄	—	10	1	no	—
1135	C₂×C₄⋊C₄	—	10	1	no	—
1136	C₂×C₄⋊C₄	—	10	1	no	—
1137	C₂×C₄⋊C₄	—	10	1	no	—
1138	C₂×C₄²	—	2	1	no	—
1139	C₂×C₄²	—	5	1	no	—
1140	C₂×C₄²	—	5	1	no	—
1141	C₂×C₄²	—	10	1	no	—
1142	C₂×C₄²	—	10	1	no	—
1143	C₂×C₄²	—	10	1	no	—
1144	C₂×C₄²	—	10	1	no	—
1145	C₂×C₄²	—	10	1	no	—
1146	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1147	#107	—	5	1	no	—
1148	#107	—	5	1	no	—
1149	#107	—	5	1	no	—
1150	#107	—	5	1	no	—
1151	#107	—	5	1	no	—
1152	#107	—	5	1	no	—
1153	#107	—	5	1	no	—
1154	#107	—	5	1	no	—
1155	#107	—	5	1	no	—
1156	#107	—	5	1	no	—
1157	#107	—	5	1	no	—
1158	#107	—	5	1	no	—
1159	#107	—	5	1	no	—
1160	#107	—	5	1	no	—
1161	#107	C₂²×D₅	1	1	yes	characteristic
1162	#107	C₂²×D₅	1	1	yes	characteristic
1163	#107	C₂²×D₅	1	1	yes	characteristic
1164	#107	C₂²×D₅	1	1	yes	characteristic
1165	#106	—	5	1	no	—
1166	#106	—	5	1	no	—
1167	#106	—	5	1	no	—
1168	#106	—	5	1	no	—
1169	#106	—	5	1	no	—
1170	#106	—	5	1	no	—
1171	#106	—	5	1	no	—
1172	#106	—	5	1	no	—
1173	#106	—	5	1	no	—
1174	#106	—	5	1	no	—
1175	#106	—	5	1	no	—
1176	#106	—	5	1	no	—
1177	#106	—	5	1	no	—
1178	#106	—	5	1	no	—
1179	#106	C₂²×D₅	1	1	yes	characteristic
1180	#106	C₂²×D₅	1	1	yes	characteristic
1181	#106	C₂²×D₅	1	1	yes	characteristic
1182	#106	C₂²×D₅	1	1	yes	characteristic
1183	C₄⋊C₈	—	5	1	no	—
1184	C₄⋊C₈	—	5	1	no	—
1185	C₄⋊C₈	—	5	1	no	—
1186	C₄⋊C₈	—	5	1	no	—
1187	C₄⋊C₈	—	5	1	no	—
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1193	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1194	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1195	#103	—	5	1	no	—
1196	#103	—	5	1	no	—
1197	#103	—	5	1	no	—
1198	#103	—	5	1	no	—
1199	#103	—	5	1	no	—
1200	#103	—	5	1	no	—
1201	#103	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	C₂²×D₅	1	1	yes	characteristic
1204	#103	C₂²×D₅	1	1	yes	characteristic
1205	#103	C₂²×D₅	1	1	yes	characteristic
1206	#103	C₂²×D₅	1	1	yes	characteristic
1207	#102	—	5	1	no	—
1208	#102	—	5	1	no	—
1209	#102	—	5	1	no	—
1210	#102	—	5	1	no	—
1211	#102	—	5	1	no	—
1212	#102	—	5	1	no	—
1213	#102	—	5	1	no	—
1214	#102	—	5	1	no	—
1215	#102	C₂²×D₅	1	1	yes	characteristic
1216	#102	C₂²×D₅	1	1	yes	characteristic
1217	#102	C₂²×D₅	1	1	yes	characteristic
1218	#102	C₂²×D₅	1	1	yes	characteristic
1219	#97	—	5	1	no	—
1220	#97	—	5	1	no	—
1221	#97	—	5	1	no	—
1222	#97	—	5	1	no	—
1223	#97	—	5	1	no	—
1224	#97	—	5	1	no	—
1225	#97	—	5	1	no	—
1226	#97	—	5	1	no	—
1227	C₄×C₈	—	5	1	no	—
1228	C₄×C₈	—	5	1	no	—
1229	C₄×C₈	—	5	1	no	—
1230	C₄×C₈	—	5	1	no	—
1231	C₂²×C₅	—	2	1	no	—
1232	C₂²×C₅	—	2	1	no	—
1233	C₂²×C₅	—	2	2	no	—
1234	C₂²×C₅	—	4	1	no	—
1235	C₂²×C₅	—	4	1	no	—
1236	C₂²×C₅	D₄×Q₈	1	2	yes	—
1237	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1238	C₂×D₅	—	2	2	no	—
1239	C₂×D₅	—	4	1	no	—
1240	C₂×D₅	—	4	1	no	—
1241	C₄×C₅	—	2	1	no	—
1242	C₄×C₅	—	2	1	no	—
1243	C₄×C₅	—	2	2	no	—
1244	C₄×C₅	—	2	1	no	—
1245	C₄×C₅	—	2	1	no	—
1246	C₄×C₅	—	4	1	no	—
1247	C₄×C₅	—	4	1	no	—
1248	C₄×C₅	—	4	1	no	—
1249	C₄×C₅	—	4	1	no	—
1250	C₄×C₅	—	4	1	no	—
1251	C₄×C₅	—	4	1	no	—
1252	C₄×C₅	D₄×Q₈	1	2	yes	—
1253	C₄×C₅	C₂³×Q₈	1	1	yes	characteristic
1254	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1255	Dic₅	—	2	1	no	—
1256	Dic₅	—	2	1	no	—
1257	Dic₅	—	2	1	no	—
1258	Dic₅	—	2	1	no	—
1259	Dic₅	—	2	2	no	—
1260	Dic₅	—	2	1	no	—
1261	Dic₅	—	2	1	no	—
1262	Dic₅	—	2	1	no	—
1263	Dic₅	—	4	1	no	—
1264	Dic₅	—	4	1	no	—
1265	Dic₅	—	4	1	no	—
1266	Dic₅	—	4	1	no	—
1267	Dic₅	—	4	1	no	—
1268	Dic₅	—	4	1	no	—
1269	Dic₅	#575	1	2	yes	—
1270	#41	—	2	2	no	—
1271	#41	—	5	4	no	—
1272	#41	—	10	2	no	—
1273	#41	Q₈×D₅	1	4	yes	complemented
1274	C₂×Q₈	—	2	1	no	—
1275	C₂×Q₈	—	2	1	no	—
1276	C₂×Q₈	—	5	1	no	—
1277	C₂×Q₈	—	5	1	no	—
1278	C₂×Q₈	—	5	1	no	—
1279	C₂×Q₈	—	5	1	no	—
1280	C₂×Q₈	—	5	1	no	—
1281	C₂×Q₈	—	10	1	no	—
1282	C₂×Q₈	—	10	1	no	—
1283	C₂×Q₈	—	10	1	no	—
1284	C₂×Q₈	—	10	1	no	—
1285	C₂×Q₈	—	10	1	no	—
1286	C₂×Q₈	—	10	1	no	—
1287	C₂×Q₈	—	10	1	no	—
1288	C₂×Q₈	—	10	1	no	—
1289	C₂×Q₈	—	10	1	no	—
1290	C₂×Q₈	—	10	1	no	—
1291	C₂×Q₈	—	20	2	no	—
1292	C₂×Q₈	—	20	4	no	—
1293	C₂×Q₈	—	20	4	no	—
1294	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1295	C₂×D₄	—	2	1	no	—
1296	C₂×D₄	—	5	1	no	—
1297	C₂×D₄	—	10	1	no	—
1298	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1299	C₂²×C₄	—	2	1	no	—
1300	C₂²×C₄	—	2	1	no	—
1301	C₂²×C₄	—	2	1	no	—
1302	C₂²×C₄	—	5	1	no	—
1303	C₂²×C₄	—	5	1	no	—
1304	C₂²×C₄	—	5	1	no	—
1305	C₂²×C₄	—	5	1	no	—
1306	C₂²×C₄	—	10	1	no	—
1307	C₂²×C₄	—	10	1	no	—
1308	C₂²×C₄	—	10	1	no	—
1309	C₂²×C₄	—	10	1	no	—
1310	C₂²×C₄	—	10	1	no	—
1311	C₂²×C₄	—	10	1	no	—
1312	C₂²×C₄	—	10	1	no	—
1313	C₂²×C₄	—	10	1	no	—
1314	C₂²×C₄	—	10	1	no	—
1315	C₂²×C₄	—	10	1	no	—
1316	C₂²×C₄	—	10	1	no	—
1317	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1318	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1319	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1320	Q₁₆	—	5	4	no	—
1321	SD₁₆	—	5	4	no	—
1322	SD₁₆	—	5	4	no	—
1323	D₈	—	5	4	no	—
1324	C₂×C₈	—	2	2	no	—
1325	C₂×C₈	—	2	2	no	—
1326	C₂×C₈	—	5	4	no	—
1327	C₂×C₈	—	5	1	no	—
1328	C₂×C₈	—	5	1	no	—
1329	C₂×C₈	—	5	1	no	—
1330	C₂×C₈	—	5	1	no	—
1331	C₂×C₈	—	10	2	no	—
1332	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1334	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1335	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	5	1	no	—
1345	C₄⋊C₄	—	5	1	no	—
1346	C₄⋊C₄	—	5	1	no	—
1347	C₄⋊C₄	—	5	1	no	—
1348	C₄⋊C₄	—	5	1	no	—
1349	C₄⋊C₄	—	5	1	no	—
1350	C₄⋊C₄	—	5	1	no	—
1351	C₄⋊C₄	—	5	1	no	—
1352	C₄⋊C₄	—	5	1	no	—
1353	C₄⋊C₄	—	5	1	no	—
1354	C₄⋊C₄	—	5	1	no	—
1355	C₄⋊C₄	—	5	1	no	—
1356	C₄⋊C₄	—	5	1	no	—
1357	C₄⋊C₄	—	5	1	no	—
1358	C₄⋊C₄	—	5	1	no	—
1359	C₄⋊C₄	—	5	1	no	—
1360	C₄⋊C₄	—	5	1	no	—
1361	C₄⋊C₄	—	5	1	no	—
1362	C₄⋊C₄	—	10	1	no	—
1363	C₄⋊C₄	—	10	1	no	—
1364	C₄⋊C₄	—	10	1	no	—
1365	C₄⋊C₄	—	10	1	no	—
1366	C₄⋊C₄	—	10	1	no	—
1367	C₄⋊C₄	—	10	1	no	—
1368	C₄⋊C₄	—	10	1	no	—
1369	C₄⋊C₄	—	10	1	no	—
1370	C₄⋊C₄	—	10	1	no	—
1371	C₄⋊C₄	—	10	1	no	—
1372	C₄⋊C₄	—	10	1	no	—
1373	C₄⋊C₄	—	10	1	no	—
1374	C₄⋊C₄	—	10	1	no	—
1375	C₄⋊C₄	—	10	1	no	—
1376	C₄⋊C₄	—	10	1	no	—
1377	C₄⋊C₄	—	10	1	no	—
1378	C₄⋊C₄	—	10	1	no	—
1379	C₄⋊C₄	—	10	1	no	—
1380	C₄⋊C₄	—	10	1	no	—
1381	C₄⋊C₄	—	10	1	no	—
1382	C₄⋊C₄	—	10	1	no	—
1383	C₄⋊C₄	—	10	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1403	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1404	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1405	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1406	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1407	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	10	1	no	—
1414	C₂²⋊C₄	—	10	1	no	—
1415	C₂²⋊C₄	—	10	1	no	—
1416	C₂²⋊C₄	—	10	1	no	—
1417	C₂²⋊C₄	—	10	1	no	—
1418	C₂²⋊C₄	—	10	1	no	—
1419	C₂²⋊C₄	—	10	1	no	—
1420	C₂²⋊C₄	—	10	1	no	—
1421	C₂²⋊C₄	—	10	1	no	—
1422	C₂²⋊C₄	—	10	1	no	—
1423	C₂²⋊C₄	—	10	1	no	—
1424	C₂²⋊C₄	—	10	1	no	—
1425	C₂²⋊C₄	—	10	1	no	—
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	2	1	no	—
1430	C₄²	—	2	1	no	—
1431	C₄²	—	5	1	no	—
1432	C₄²	—	5	1	no	—
1433	C₄²	—	5	1	no	—
1434	C₄²	—	5	1	no	—
1435	C₄²	—	5	1	no	—
1436	C₄²	—	5	1	no	—
1437	C₄²	—	5	1	no	—
1438	C₄²	—	5	1	no	—
1439	C₄²	—	10	1	no	—
1440	C₄²	—	10	1	no	—
1441	C₄²	—	10	1	no	—
1442	C₄²	—	10	1	no	—
1443	C₄²	—	10	1	no	—
1444	C₄²	—	10	1	no	—
1445	C₄²	—	10	1	no	—
1446	C₄²	—	10	1	no	—
1447	C₄²	—	10	1	no	—
1448	C₄²	—	10	1	no	—
1449	C₄²	—	10	1	no	—
1450	C₄²	—	10	1	no	—
1451	C₄²	—	10	1	no	—
1452	C₄²	D₄×D₅	1	1	yes	characteristic
1453	C₄²	D₄×D₅	1	1	yes	characteristic
1454	C₄²	C₂³×D₅	1	1	yes	characteristic
1455	C₄²	C₂³×D₅	1	1	yes	characteristic
1456	C₂×C₅	—	2	2	no	—
1457	C₂×C₅	—	4	2	no	—
1458	C₂×C₅	C₂×D₄×Q₈	1	1	yes	characteristic
1459	C₂×C₅	C₂×#575	1	1	yes	characteristic
1460	C₂×C₅	#3584	1	1	yes	characteristic
1461	D₅	—	4	2	no	—
1462	C₂³	—	2	1	no	—
1463	C₂³	—	10	1	no	—
1464	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1465	Q₈	—	2	1	no	—
1466	Q₈	—	4	2	no	—
1467	Q₈	—	5	2	no	—
1468	Q₈	—	8	1	no	—
1469	Q₈	—	10	2	no	—
1470	Q₈	—	10	2	no	—
1471	Q₈	—	10	1	no	—
1472	Q₈	—	20	1	no	—
1473	Q₈	—	20	1	no	—
1474	Q₈	—	20	2	no	—
1475	Q₈	—	20	2	no	—
1476	Q₈	—	20	2	no	—
1477	Q₈	—	20	2	no	—
1478	Q₈	—	20	2	no	—
1479	Q₈	—	40	1	no	—
1480	Q₈	—	40	1	no	—
1481	Q₈	—	40	1	no	—
1482	Q₈	—	40	1	no	—
1483	Q₈	—	40	1	no	—
1484	Q₈	C₂×Q₈×D₅	1	2	yes	—
1485	D₄	—	2	4	no	—
1486	D₄	—	2	1	no	—
1487	D₄	—	5	2	no	—
1488	D₄	—	10	4	no	—
1489	D₄	—	10	1	no	—
1490	D₄	C₂×Q₈×D₅	1	2	yes	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	4	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	4	1	no	—
1500	C₂×C₄	—	4	1	no	—
1501	C₂×C₄	—	4	2	no	—
1502	C₂×C₄	—	5	1	no	—
1503	C₂×C₄	—	5	1	no	—
1504	C₂×C₄	—	5	1	no	—
1505	C₂×C₄	—	5	1	no	—
1506	C₂×C₄	—	5	1	no	—
1507	C₂×C₄	—	5	1	no	—
1508	C₂×C₄	—	5	1	no	—
1509	C₂×C₄	—	5	1	no	—
1510	C₂×C₄	—	8	1	no	—
1511	C₂×C₄	—	10	2	no	—
1512	C₂×C₄	—	10	1	no	—
1513	C₂×C₄	—	10	4	no	—
1514	C₂×C₄	—	10	1	no	—
1515	C₂×C₄	—	10	1	no	—
1516	C₂×C₄	—	10	1	no	—
1517	C₂×C₄	—	10	1	no	—
1518	C₂×C₄	—	10	1	no	—
1519	C₂×C₄	—	10	1	no	—
1520	C₂×C₄	—	20	2	no	—
1521	C₂×C₄	—	20	2	no	—
1522	C₂×C₄	—	20	2	no	—
1523	C₂×C₄	—	20	2	no	—
1524	C₂×C₄	—	20	1	no	—
1525	C₂×C₄	—	20	1	no	—
1526	C₂×C₄	—	20	1	no	—
1527	C₂×C₄	—	20	2	no	—
1528	C₂×C₄	—	40	1	no	—
1529	C₂×C₄	—	40	1	no	—
1530	C₂×C₄	—	40	1	no	—
1531	C₂×C₄	—	40	1	no	—
1532	C₂×C₄	—	40	1	no	—
1533	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1534	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1535	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1536	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1537	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1538	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1539	C₂×C₄	#4150	1	2	yes	—
1540	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1541	C₈	—	2	1	no	—
1542	C₈	—	2	1	no	—
1543	C₈	—	2	1	no	—
1544	C₈	—	2	1	no	—
1545	C₈	—	5	2	no	—
1546	C₈	—	5	2	no	—
1547	C₈	—	10	1	no	—
1548	C₈	—	10	1	no	—
1549	C₅	#61365	1	1	yes	characteristic, complemented, Sylow
1550	C₂²	—	2	1	no	—
1551	C₂²	—	2	1	no	—
1552	C₂²	—	2	2	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	4	1	no	—
1555	C₂²	—	10	2	no	—
1556	C₂²	—	20	1	no	—
1557	C₂²	—	20	1	no	—
1558	C₂²	#65966	1	2	yes	—
1559	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1560	C₄	—	2	2	no	—
1561	C₄	—	2	1	no	—
1562	C₄	—	2	1	no	—
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	4	1	no	—
1566	C₄	—	4	1	no	—
1567	C₄	—	4	1	no	—
1568	C₄	—	4	1	no	—
1569	C₄	—	4	1	no	—
1570	C₄	—	4	1	no	—
1571	C₄	—	5	2	no	—
1572	C₄	—	10	2	no	—
1573	C₄	—	10	1	no	—
1574	C₄	—	10	1	no	—
1575	C₄	—	10	1	no	—
1576	C₄	—	10	1	no	—
1577	C₄	—	10	1	no	—
1578	C₄	—	10	1	no	—
1579	C₄	—	10	1	no	—
1580	C₄	—	20	1	no	—
1581	C₄	—	20	1	no	—
1582	C₄	—	20	1	no	—
1583	C₄	—	20	1	no	—
1584	C₄	—	20	1	no	—
1585	C₄	—	20	1	no	—
1586	C₄	#65966	1	2	yes	—
1587	C₄	C₂²×Q₈×D₅	1	1	yes	characteristic
1588	C₄	C₂×#4150	1	1	yes	characteristic
1589	C₂	—	2	2	no	—
1590	C₂	—	4	2	no	—
1591	C₂	—	20	2	no	—
1592	C₂	C₂×#65966	1	1	yes	characteristic
1593	C₂	#10619088	1	1	yes	characteristic
1594	C₂	D₅×#575	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3076	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	C₂×#4096	C₂²
hypercenter	#3076	D₅
hypocenter	C₅	#61365
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3076

Complements

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

N	H ≅ G/N	type
1. #10618178	C₂	semidirect
2. #41×Dic₁₀	C₂	semidirect
3. C₅×#3076	C₂	semidirect
4. #10615071	C₂	semidirect
6. #10612958	C₂	semidirect
7. #10612956	C₂	semidirect
8. #10612955	C₂	semidirect
9. #10612954	C₂	semidirect
10. #10612894	C₂	semidirect
11. #10612892	C₂	semidirect
12. #10612890	C₂	semidirect
13. #10612889	C₂	semidirect
14. #10612836	C₂	semidirect
15. #10612834	C₂	semidirect
16. #10612788	C₂	semidirect
17. #10612786	C₂	semidirect
18. #10612739	C₂	semidirect
19. #10612738	C₂	semidirect
20. #10612693	C₂	semidirect
21. #10612691	C₂	semidirect
22. #10610927	C₂	semidirect
23. #10610927	C₂	semidirect
24. #10610902	C₂	semidirect
25. #10610901	C₂	semidirect
26. #10610756	C₂	semidirect
27. C₂×#65117	C₂	semidirect
28. #10610553	C₂	semidirect
29. #10610553	C₂	semidirect
231. #4096	Q₈	semidirect
506. #3076	D₅	semidirect
512. C₅×#41	C₂×Q₈	semidirect
535. #709	C₂×Q₈	semidirect
602. #689	C₂×Q₈	semidirect
603. #688	C₂×Q₈	semidirect
604. #687	C₂×Q₈	semidirect
605. #686	C₂×Q₈	semidirect
692. C₂×#168	C₂×Q₈	semidirect
1273. #41	Q₈×D₅	semidirect
1549. C₅	#61365	semidirect

Maximal subgroups

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

subgroup	index
#10618178	2
#41×Dic₁₀	2
C₅×#3076	2
#10615071	2
#10614237	2
#10612958	2
#10612956	2
#10612955	2
#10612954	2
#10612894	2
#10612892	2
#10612890	2
#10612889	2
#10612836	2
#10612834	2
#10612788	2
#10612786	2
#10612739	2
#10612738	2
#10612693	2
#10612691	2
#10610927	2
#10610902	2
#10610901	2
#10610756	2
C₂×#65117	2
#10610553	2
#10610550	2
#10610549	2
#61365	5