Subgroups — #12989690

Order 1280.

1704 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618933	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618681	C₂	1	1	yes	maximal, characteristic
3	C₅×#3368	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615426	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615318	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613454	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613453	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613440	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613440	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613319	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613306	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612908	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612903	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612892	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612888	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612704	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612691	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612103	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612103	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612100	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612096	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612096	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612091	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611709	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611697	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611520	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611512	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611493	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611490	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611392	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic
33	C₅×#550	C₂²	1	1	yes	characteristic
34	#66167	—	2	1	no	—
35	#66158	—	2	1	no	—
36	#66063	—	2	1	no	—
37	#66063	C₂²	1	1	yes	characteristic
38	#66056	—	2	1	no	—
39	#66056	C₂²	1	1	yes	characteristic
40	#66053	C₂²	1	1	yes	characteristic
41	#66053	C₂²	1	1	yes	characteristic
42	#66052	C₂²	1	1	yes	characteristic
43	#66052	C₂²	1	1	yes	characteristic
44	#66052	C₂²	1	1	yes	characteristic
45	#66050	C₂²	1	1	yes	characteristic
46	#66023	—	2	1	no	—
47	#66023	C₂²	1	1	yes	characteristic
48	#66022	—	2	1	no	—
49	#66022	C₂²	1	1	yes	characteristic
50	#66019	—	2	1	no	—
51	#66019	—	2	1	no	—
52	#66019	C₂²	1	1	yes	characteristic
53	#66019	C₂²	1	1	yes	characteristic
54	#65955	—	2	1	no	—
55	#65955	—	2	1	no	—
56	#65945	—	2	1	no	—
57	#65942	—	2	1	no	—
58	#65931	—	2	1	no	—
59	#65931	—	2	1	no	—
60	#65913	C₂²	1	1	yes	characteristic
61	#65912	—	2	1	no	—
62	#65912	C₂²	1	1	yes	characteristic
63	#65906	C₂²	1	1	yes	characteristic
64	#65906	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
66	#65903	C₂²	1	1	yes	characteristic
67	#65903	C₂²	1	1	yes	characteristic
68	#65901	—	2	1	no	—
69	#65901	C₂²	1	1	yes	characteristic
70	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic
71	#65896	C₂²	1	1	yes	characteristic
72	#65896	C₂²	1	1	yes	characteristic
73	#65882	C₂²	1	1	yes	characteristic
74	#65877	C₂²	1	1	yes	characteristic
75	#65873	C₂²	1	1	yes	characteristic
76	#65873	C₂²	1	1	yes	characteristic
77	C₅×#490	C₂²	1	1	yes	characteristic
78	C₅×#490	C₂²	1	1	yes	characteristic
79	C₅×#486	C₂²	1	1	yes	characteristic
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#478	C₂²	1	1	yes	characteristic
82	C₅×#474	C₂²	1	1	yes	characteristic
83	C₅×#460	C₂²	1	1	yes	characteristic
84	C₅×#460	C₂²	1	1	yes	characteristic
85	C₅×#460	C₂²	1	1	yes	characteristic
86	C₅×#446	C₂²	1	1	yes	characteristic
87	C₅×#440	C₂²	1	1	yes	characteristic
88	C₅×#440	C₂²	1	1	yes	characteristic
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
90	#65459	C₂²	1	1	yes	characteristic
91	#65459	C₂²	1	1	yes	characteristic
92	#65459	C₂²	1	1	yes	characteristic
93	#65453	C₂²	1	1	yes	characteristic
94	#65453	C₂²	1	1	yes	characteristic
95	#65452	C₂²	1	1	yes	characteristic
96	#65452	C₂²	1	1	yes	characteristic
97	#65452	C₂²	1	1	yes	characteristic
98	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
100	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
102	#65373	C₂²	1	1	yes	characteristic
103	#65369	C₂²	1	1	yes	characteristic
104	#65364	C₂²	1	1	yes	characteristic
105	#65364	C₂²	1	1	yes	characteristic
106	#65364	C₂²	1	1	yes	characteristic
107	#65360	C₂²	1	1	yes	characteristic
108	#65360	C₂²	1	1	yes	characteristic
109	#65359	C₂²	1	1	yes	characteristic
110	#65355	C₂²	1	1	yes	characteristic
111	#65355	C₂²	1	1	yes	characteristic
112	#65354	C₂²	1	1	yes	characteristic
113	#65353	C₂²	1	1	yes	characteristic
114	#65315	C₂²	1	1	yes	characteristic
115	#65315	C₂²	1	1	yes	characteristic
116	C₄×#688	C₂²	1	1	yes	characteristic
117	#65313	C₂²	1	1	yes	characteristic
118	#65311	C₂²	1	1	yes	characteristic
119	#65311	C₂²	1	1	yes	characteristic
120	#65309	C₂²	1	1	yes	characteristic
121	#65307	C₂²	1	1	yes	characteristic
122	#65307	C₂²	1	1	yes	characteristic
123	C₄×#687	C₂²	1	1	yes	characteristic
124	#65298	C₂²	1	1	yes	characteristic
125	#65298	C₂²	1	1	yes	characteristic
126	#65296	C₂²	1	1	yes	characteristic
127	#65174	C₂²	1	1	yes	characteristic
128	#65171	C₂²	1	1	yes	characteristic
129	#65167	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	#65164	C₂²	1	1	yes	characteristic
134	#65163	C₂²	1	1	yes	characteristic
135	#65155	C₂²	1	1	yes	characteristic
136	#65147	C₂²	1	1	yes	characteristic
137	#65146	C₂²	1	1	yes	characteristic
138	#65144	C₂²	1	1	yes	characteristic
139	#65140	C₂²	1	1	yes	characteristic
140	#65136	C₂²	1	1	yes	characteristic
141	#65136	C₂²	1	1	yes	characteristic
142	#65131	C₂²	1	1	yes	characteristic
143	#65129	C₂²	1	1	yes	characteristic
144	#65129	C₂²	1	1	yes	characteristic
145	#65122	C₂²	1	1	yes	characteristic
146	#65119	C₂²	1	1	yes	characteristic
147	#65118	C₂²	1	1	yes	characteristic
148	#65118	C₂²	1	1	yes	characteristic
149	#65117	C₂²	1	1	yes	characteristic
150	#65117	C₂²	1	1	yes	characteristic
151	#65095	C₂²	1	1	yes	characteristic
152	#65088	C₂²	1	1	yes	characteristic
153	#65085	C₂²	1	1	yes	characteristic
154	#65083	C₂²	1	1	yes	characteristic
155	#65073	C₂²	1	1	yes	characteristic
156	#65073	C₂²	1	1	yes	characteristic
157	#65073	C₂²	1	1	yes	characteristic
158	#65068	C₂²	1	1	yes	characteristic
159	#65068	C₂²	1	1	yes	characteristic
160	#65068	C₂²	1	1	yes	characteristic
161	#65066	C₂²	1	1	yes	characteristic
162	#65066	C₂²	1	1	yes	characteristic
163	#65063	C₂²	1	1	yes	characteristic
164	#65055	C₂²	1	1	yes	characteristic
165	#65055	C₂²	1	1	yes	characteristic
166	#65053	C₂²	1	1	yes	characteristic
167	#65053	C₂²	1	1	yes	characteristic
168	#65052	C₂²	1	1	yes	characteristic
169	#65052	C₂²	1	1	yes	characteristic
170	#65051	C₂²	1	1	yes	characteristic
171	#65051	C₂²	1	1	yes	characteristic
172	#65051	C₂²	1	1	yes	characteristic
173	#65050	C₂²	1	1	yes	characteristic
174	#65050	C₂²	1	1	yes	characteristic
175	#65050	C₂²	1	1	yes	characteristic
176	#65050	C₂²	1	1	yes	characteristic
177	#65049	C₂²	1	1	yes	characteristic
178	#65049	C₂²	1	1	yes	characteristic
179	#65049	C₂²	1	1	yes	characteristic
180	#65049	C₂²	1	1	yes	characteristic
181	#65048	C₂²	1	1	yes	characteristic
182	#65048	C₂²	1	1	yes	characteristic
183	#65048	C₂²	1	1	yes	characteristic
184	#65048	C₂²	1	1	yes	characteristic
185	#65047	C₂²	1	1	yes	characteristic
186	#65047	C₂²	1	1	yes	characteristic
187	#65047	C₂²	1	1	yes	characteristic
188	#65047	C₂²	1	1	yes	characteristic
189	#65046	C₂²	1	1	yes	characteristic
190	#65046	C₂²	1	1	yes	characteristic
191	#64999	C₂²	1	1	yes	characteristic
192	#64999	C₂²	1	1	yes	characteristic
193	#64998	C₂²	1	1	yes	characteristic
194	#64994	C₂²	1	1	yes	characteristic
195	#64991	C₂²	1	1	yes	characteristic
196	#64991	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic
199	C₄×#677	C₂²	1	1	yes	characteristic
200	#64979	C₂²	1	1	yes	characteristic
201	#64972	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
203	#61851	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×#711	—	2	1	no	—
207	C₂×#711	—	2	1	no	—
208	C₂×#711	—	2	1	no	—
209	C₂×#711	—	2	1	no	—
210	C₂×#709	—	2	1	no	—
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	—	2	1	no	—
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#127	C₂³	1	1	yes	characteristic
217	C₅×#127	C₂³	1	1	yes	characteristic
218	C₅×#127	C₂³	1	1	yes	characteristic
219	C₅×#125	—	2	1	no	—
220	C₅×#125	—	2	1	no	—
221	C₅×#125	C₂³	1	1	yes	characteristic
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×#121	—	2	1	no	—
224	C₅×#121	—	2	1	no	—
225	C₅×#121	—	2	1	no	—
226	C₄×C₅×Q₈	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	#4092	—	2	1	no	—
235	#4092	—	2	1	no	—
236	#4092	D₄	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	#4090	—	2	1	no	—
244	#4090	D₄	1	1	yes	characteristic
245	C₂×#688	C₂³	1	1	yes	characteristic
246	#4086	C₂³	1	1	yes	characteristic
247	#4086	C₂³	1	1	yes	characteristic
248	#4086	C₂³	1	1	yes	characteristic
249	#4085	—	2	1	no	—
250	#4085	—	2	1	no	—
251	#4085	—	2	1	no	—
252	#4085	—	2	1	no	—
253	#4085	—	2	1	no	—
254	#4085	—	2	1	no	—
255	#4085	—	2	1	no	—
256	#4085	—	2	1	no	—
257	#4085	—	2	1	no	—
258	#4085	—	2	1	no	—
259	#4084	—	2	1	no	—
260	#4084	—	2	1	no	—
261	#4084	—	2	1	no	—
262	#4084	—	2	1	no	—
263	#4084	C₂³	1	1	yes	characteristic
264	#4084	C₂³	1	1	yes	characteristic
265	#4084	C₂³	1	1	yes	characteristic
266	#4082	—	2	1	no	—
267	#4081	—	2	1	no	—
268	#4081	—	2	1	no	—
269	#4081	—	2	1	no	—
270	#4081	—	2	1	no	—
271	D₄×Dic₅	—	2	1	no	—
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	C₂³	1	1	yes	characteristic
274	D₄×Dic₅	C₂³	1	1	yes	characteristic
275	D₄×Dic₅	C₂³	1	1	yes	characteristic
276	D₄×Dic₅	C₂³	1	1	yes	characteristic
277	D₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#687	C₂³	1	1	yes	characteristic
280	C₂×#687	C₂³	1	1	yes	characteristic
281	#4076	—	2	1	no	—
282	#4076	—	2	1	no	—
283	#4075	—	2	1	no	—
284	#4075	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₂×C₄⋊Dic₅	—	2	1	no	—
287	#4070	—	2	1	no	—
288	#4070	—	2	1	no	—
289	#4070	—	2	1	no	—
290	C₂×#683	—	2	1	no	—
291	C₂×#683	—	2	1	no	—
292	C₂×#677	C₂³	1	1	yes	characteristic
293	#4043	—	2	1	no	—
294	#4043	D₄	1	1	yes	characteristic
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4042	D₄	1	1	yes	characteristic
302	#4042	D₄	1	1	yes	characteristic
303	#4041	C₂³	1	1	yes	characteristic
304	#4038	—	2	1	no	—
305	#4038	—	2	1	no	—
306	#4038	C₂³	1	1	yes	characteristic
307	#4038	C₂³	1	1	yes	characteristic
308	D₅×C₄⋊C₄	—	2	1	no	—
309	D₅×C₄⋊C₄	—	2	1	no	—
310	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	#4036	—	2	1	no	—
312	#4036	—	2	1	no	—
313	#4036	C₂³	1	1	yes	characteristic
314	#4036	C₂³	1	1	yes	characteristic
315	#4036	C₂³	1	1	yes	characteristic
316	#4036	C₂³	1	1	yes	characteristic
317	#4035	—	2	1	no	—
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	#4035	—	2	1	no	—
325	#4035	D₄	1	1	yes	characteristic
326	#4035	D₄	1	1	yes	characteristic
327	#4034	—	2	1	no	—
328	#4034	—	2	1	no	—
329	#4034	—	2	1	no	—
330	#4034	—	2	1	no	—
331	#4034	—	2	1	no	—
332	#4034	—	2	1	no	—
333	#4034	—	2	1	no	—
334	#4034	—	2	1	no	—
335	#4034	D₄	1	1	yes	characteristic
336	#4034	C₂³	1	1	yes	characteristic
337	#4034	C₂³	1	1	yes	characteristic
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4034	C₂³	1	1	yes	characteristic
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	—	2	1	no	—
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4031	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4030	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4024	—	2	1	no	—
360	#4024	—	2	1	no	—
361	#4024	—	2	1	no	—
362	#4024	—	2	1	no	—
363	#4024	—	2	1	no	—
364	#4024	—	2	1	no	—
365	C₄×D₂₀	C₂³	1	1	yes	characteristic
366	C₄×D₂₀	C₂³	1	1	yes	characteristic
367	C₄×D₂₀	C₂³	1	1	yes	characteristic
368	#4018	—	2	1	no	—
369	#4018	—	2	1	no	—
370	#4018	C₂³	1	1	yes	characteristic
371	#4018	C₂³	1	1	yes	characteristic
372	C₄²×D₅	—	2	1	no	—
373	C₄²×D₅	C₂³	1	1	yes	characteristic
374	#4016	—	2	1	no	—
375	#4016	—	2	1	no	—
376	#4016	C₂³	1	1	yes	characteristic
377	#4016	C₂³	1	1	yes	characteristic
378	#4016	C₂³	1	1	yes	characteristic
379	#4016	C₂³	1	1	yes	characteristic
380	#4015	—	2	1	no	—
381	#4015	C₂³	1	1	yes	characteristic
382	#4015	C₂³	1	1	yes	characteristic
383	C₄×Dic₁₀	—	2	1	no	—
384	C₄×Dic₁₀	—	2	1	no	—
385	C₄×Dic₁₀	—	2	1	no	—
386	C₄×Dic₁₀	—	2	1	no	—
387	C₄×Dic₁₀	—	2	1	no	—
388	C₄×Dic₁₀	—	2	1	no	—
389	C₄×Dic₁₀	C₂³	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	C₅×#107	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#106	C₂³	1	1	yes	characteristic
398	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
399	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
400	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
401	C₅×#103	C₂³	1	1	yes	characteristic
402	C₅×#102	C₂³	1	1	yes	characteristic
403	C₅×#102	C₂³	1	1	yes	characteristic
404	C₅×#102	C₂³	1	1	yes	characteristic
405	C₅×#102	C₂³	1	1	yes	characteristic
406	C₅×#102	C₂³	1	1	yes	characteristic
407	C₅×#102	C₂³	1	1	yes	characteristic
408	C₅×#102	C₂³	1	1	yes	characteristic
409	C₅×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#97	C₂³	1	1	yes	characteristic
412	C₅×#97	C₂³	1	1	yes	characteristic
413	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
414	#3967	C₂³	1	1	yes	characteristic
415	#3967	C₂³	1	1	yes	characteristic
416	#3967	C₂³	1	1	yes	characteristic
417	#3964	C₂³	1	1	yes	characteristic
418	#3964	C₂³	1	1	yes	characteristic
419	#3964	C₂³	1	1	yes	characteristic
420	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3953	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3952	C₂³	1	1	yes	characteristic
430	#3952	C₂³	1	1	yes	characteristic
431	#3952	C₂³	1	1	yes	characteristic
432	#3952	C₂³	1	1	yes	characteristic
433	#3950	C₂³	1	1	yes	characteristic
434	#3950	C₂³	1	1	yes	characteristic
435	#3950	C₂³	1	1	yes	characteristic
436	#3950	C₂³	1	1	yes	characteristic
437	#3949	C₂³	1	1	yes	characteristic
438	#3949	C₂³	1	1	yes	characteristic
439	#3949	C₂³	1	1	yes	characteristic
440	#3949	C₂³	1	1	yes	characteristic
441	#3949	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3948	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3947	C₂³	1	1	yes	characteristic
446	#3947	C₂³	1	1	yes	characteristic
447	#3946	C₂³	1	1	yes	characteristic
448	#3946	C₂³	1	1	yes	characteristic
449	#3946	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	C₈×Dic₅	C₂³	1	1	yes	characteristic
454	C₈×Dic₅	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	#3942	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	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	#3940	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	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3548	—	5	1	no	—
480	#3502	—	5	1	no	—
481	#3388	—	5	1	no	—
482	#3388	—	5	1	no	—
483	#3388	—	5	1	no	—
484	#3388	—	5	1	no	—
485	#3385	—	5	1	no	—
486	#3385	—	5	1	no	—
487	#3381	—	5	1	no	—
488	#3381	—	5	1	no	—
489	#3368	—	5	1	no	—
490	#3368	—	5	1	no	—
491	#3368	—	5	1	no	—
492	#3368	—	5	1	no	—
493	#3368	—	5	1	no	—
494	#3368	D₅	1	1	yes	characteristic, complemented
495	#3362	—	5	1	no	—
496	#3362	—	5	1	no	—
497	#3241	—	5	1	no	—
498	#3241	—	5	1	no	—
499	#3241	—	5	1	no	—
500	#3241	—	5	1	no	—
501	#3235	—	5	1	no	—
502	#3228	—	5	1	no	—
503	#3126	—	5	1	no	—
504	#3126	—	5	1	no	—
505	#3126	—	5	1	no	—
506	#3126	—	5	1	no	—
507	#3112	—	5	1	no	—
508	#3103	—	5	1	no	—
509	#2985	—	5	1	no	—
510	C₅×#41	—	8	2	no	—
511	C₂×C₅×Q₈	—	2	1	no	—
512	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×D₄	—	2	1	no	—
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
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	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	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	#711	—	8	2	no	—
544	#711	—	8	2	no	—
545	#711	—	8	2	no	—
546	#711	—	8	2	no	—
547	#709	—	8	2	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
558	C₂×Dic₁₀	—	2	1	no	—
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
568	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
570	C₅×SD₁₆	—	2	2	no	—
571	C₅×SD₁₆	—	2	2	no	—
572	C₅×SD₁₆	—	2	2	no	—
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₄²×C₅	—	2	1	no	—
596	C₄²×C₅	—	2	1	no	—
597	C₄²×C₅	—	2	1	no	—
598	C₄²×C₅	C₂⁴	1	1	yes	characteristic
599	C₄²×C₅	C₂⁴	1	1	yes	characteristic
600	C₄²×C₅	C₂⁴	1	1	yes	characteristic
601	C₂²⋊Dic₅	—	2	1	no	—
602	C₂²⋊Dic₅	—	2	1	no	—
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	#688	—	2	2	no	—
611	#687	—	2	2	no	—
612	#687	—	2	2	no	—
613	#687	—	2	2	no	—
614	#685	—	2	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	C₂×D₄	1	1	yes	characteristic
621	#685	C₂×D₄	1	1	yes	characteristic
622	#685	C₂×D₄	1	1	yes	characteristic
623	#685	C₂×D₄	1	1	yes	characteristic
624	C₄⋊Dic₅	—	2	1	no	—
625	C₄⋊Dic₅	—	2	1	no	—
626	C₄⋊Dic₅	—	2	1	no	—
627	C₄⋊Dic₅	—	2	1	no	—
628	C₄⋊Dic₅	—	2	1	no	—
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
633	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
634	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
635	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
636	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
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	#683	C₂×D₄	1	1	yes	characteristic
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	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	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
691	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
692	C₂×#168	C₂⁴	1	1	yes	characteristic
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	#677	—	2	2	no	—
697	#562	—	10	1	no	—
698	#562	—	10	1	no	—
699	Q₈²	—	5	1	no	—
700	Q₈²	—	5	1	no	—
701	Q₈²	—	10	1	no	—
702	#557	—	5	1	no	—
703	#557	—	5	1	no	—
704	#557	—	5	1	no	—
705	#557	—	5	1	no	—
706	#557	—	5	1	no	—
707	#557	—	10	1	no	—
708	#557	—	10	1	no	—
709	#557	—	10	1	no	—
710	#557	C₂×D₅	1	1	yes	characteristic
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	—	5	1	no	—
715	#550	—	5	1	no	—
716	#550	—	5	1	no	—
717	#550	—	5	1	no	—
718	#550	C₂×D₅	1	1	yes	characteristic
719	#547	—	10	1	no	—
720	#547	—	10	1	no	—
721	#544	—	5	1	no	—
722	#544	—	5	1	no	—
723	#544	—	10	1	no	—
724	#544	—	10	1	no	—
725	#540	—	5	1	no	—
726	#540	—	5	1	no	—
727	#540	—	5	1	no	—
728	#540	—	5	1	no	—
729	#537	—	10	1	no	—
730	#537	—	10	1	no	—
731	#537	—	10	1	no	—
732	#537	—	10	1	no	—
733	#533	—	5	1	no	—
734	#533	—	5	1	no	—
735	#533	—	10	1	no	—
736	#533	—	10	1	no	—
737	#532	—	5	1	no	—
738	#532	—	5	1	no	—
739	#519	—	5	1	no	—
740	#519	—	5	1	no	—
741	C₂×C₄×Q₈	—	5	1	no	—
742	#501	—	5	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	#500	—	5	1	no	—
749	#499	—	5	1	no	—
750	#499	—	5	1	no	—
751	#499	—	5	1	no	—
752	#499	—	5	1	no	—
753	#498	—	5	1	no	—
754	#490	—	5	1	no	—
755	#490	—	5	1	no	—
756	#490	—	5	1	no	—
757	#490	—	5	1	no	—
758	#490	C₂×D₅	1	1	yes	characteristic
759	#490	C₂×D₅	1	1	yes	characteristic
760	#486	—	5	1	no	—
761	#486	—	5	1	no	—
762	#486	—	5	1	no	—
763	#486	—	5	1	no	—
764	#486	—	5	1	no	—
765	#486	C₂×D₅	1	1	yes	characteristic
766	#482	—	5	1	no	—
767	#482	—	5	1	no	—
768	#482	—	5	1	no	—
769	#482	—	5	1	no	—
770	#482	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#481	—	5	1	no	—
775	#481	—	5	1	no	—
776	#480	—	5	1	no	—
777	#480	—	5	1	no	—
778	#479	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	C₂×D₅	1	1	yes	characteristic
797	#478	C₂×D₅	1	1	yes	characteristic
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	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	C₂×D₅	1	1	yes	characteristic
814	#460	—	5	1	no	—
815	#460	—	5	1	no	—
816	#460	—	5	1	no	—
817	#460	—	5	1	no	—
818	#460	—	5	1	no	—
819	#460	—	5	1	no	—
820	#460	—	5	1	no	—
821	#460	—	5	1	no	—
822	#460	—	5	1	no	—
823	#460	C₂×D₅	1	1	yes	characteristic
824	#460	C₂×D₅	1	1	yes	characteristic
825	#460	C₂×D₅	1	1	yes	characteristic
826	#448	—	5	1	no	—
827	#448	—	5	1	no	—
828	#448	—	5	1	no	—
829	#448	—	5	1	no	—
830	#446	—	5	1	no	—
831	#446	—	5	1	no	—
832	#446	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	C₂×D₅	1	1	yes	characteristic
836	C₈×Q₈	—	5	1	no	—
837	C₈×Q₈	—	5	1	no	—
838	#440	—	5	1	no	—
839	#440	—	5	1	no	—
840	#440	—	5	1	no	—
841	#440	—	5	1	no	—
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	C₂×D₅	1	1	yes	characteristic
849	#440	C₂×D₅	1	1	yes	characteristic
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
862	#433	—	5	1	no	—
863	#433	—	5	1	no	—
864	#433	—	5	1	no	—
865	#433	—	5	1	no	—
866	#432	—	5	1	no	—
867	#431	—	5	1	no	—
868	C₂³×C₅	—	2	1	no	—
869	C₂³×C₅	—	2	1	no	—
870	C₂³×C₅	—	2	1	no	—
871	C₂²×D₅	—	2	1	no	—
872	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
873	C₅×Q₈	—	2	1	no	—
874	C₅×Q₈	—	4	1	no	—
875	C₅×Q₈	—	8	1	no	—
876	C₅×Q₈	2₋¹⁺⁴	1	2	yes	—
877	C₅×D₄	—	2	1	no	—
878	C₅×D₄	—	2	1	no	—
879	C₅×D₄	—	2	1	no	—
880	C₅×D₄	—	2	1	no	—
881	C₅×D₄	—	2	1	no	—
882	C₅×D₄	—	2	1	no	—
883	C₅×D₄	—	4	2	no	—
884	C₅×D₄	—	8	1	no	—
885	C₅×D₄	—	8	1	no	—
886	C₅×D₄	—	8	1	no	—
887	C₅×D₄	—	8	1	no	—
888	C₅×D₄	—	8	1	no	—
889	C₂×C₄×C₅	—	2	1	no	—
890	C₂×C₄×C₅	—	2	1	no	—
891	C₂×C₄×C₅	—	2	1	no	—
892	C₂×C₄×C₅	—	2	1	no	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	4	2	no	—
895	C₂×C₄×C₅	—	8	1	no	—
896	C₂×C₄×C₅	—	8	1	no	—
897	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
899	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
902	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
903	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
904	C₂²⋊D₅	—	4	2	no	—
905	C₂²⋊D₅	—	8	1	no	—
906	C₂²⋊D₅	—	8	1	no	—
907	C₂²⋊D₅	—	8	1	no	—
908	C₂²⋊D₅	—	8	1	no	—
909	C₂²⋊D₅	—	8	1	no	—
910	C₂²⋊D₅	—	8	1	no	—
911	C₂²⋊D₅	—	8	1	no	—
912	C₂²⋊D₅	—	8	1	no	—
913	C₂×Dic₅	—	2	1	no	—
914	C₂×Dic₅	—	2	1	no	—
915	C₂×Dic₅	—	2	1	no	—
916	C₂×Dic₅	—	2	1	no	—
917	C₂×Dic₅	—	2	1	no	—
918	C₂×Dic₅	—	2	1	no	—
919	C₂×Dic₅	—	2	1	no	—
920	C₂×Dic₅	—	4	2	no	—
921	C₂×Dic₅	—	4	2	no	—
922	C₂×Dic₅	—	8	1	no	—
923	C₂×Dic₅	—	8	1	no	—
924	C₂×Dic₅	—	8	1	no	—
925	C₂×Dic₅	—	8	1	no	—
926	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
933	D₂₀	—	2	1	no	—
934	D₂₀	—	2	1	no	—
935	D₂₀	—	8	1	no	—
936	C₄×D₅	—	2	4	no	—
937	C₄×D₅	—	2	1	no	—
938	C₄×D₅	—	2	1	no	—
939	C₄×D₅	—	2	2	no	—
940	C₄×D₅	—	4	1	no	—
941	C₄×D₅	—	4	2	no	—
942	C₄×D₅	—	8	1	no	—
943	C₄×D₅	—	8	1	no	—
944	C₄×D₅	—	8	1	no	—
945	Dic₁₀	—	2	4	no	—
946	Dic₁₀	—	2	1	no	—
947	Dic₁₀	—	2	2	no	—
948	Dic₁₀	—	2	2	no	—
949	Dic₁₀	—	4	1	no	—
950	Dic₁₀	—	4	2	no	—
951	Dic₁₀	—	8	1	no	—
952	Dic₁₀	—	8	1	no	—
953	Dic₁₀	—	8	1	no	—
954	Dic₁₀	—	8	1	no	—
955	Dic₁₀	—	8	1	no	—
956	Dic₁₀	—	8	1	no	—
957	Dic₁₀	2₋¹⁺⁴	1	2	yes	—
958	C₅×C₈	—	2	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	#168	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	C₂×#41	—	2	1	no	—
967	C₂×#41	—	10	1	no	—
968	C₂×#41	—	10	1	no	—
969	C₂×#41	—	10	1	no	—
970	C₂×#41	—	10	1	no	—
971	C₂×#41	—	10	1	no	—
972	C₂²×Q₈	—	5	1	no	—
973	C₂×SD₁₆	—	5	1	no	—
974	C₂×SD₁₆	—	5	1	no	—
975	C₂×SD₁₆	—	5	1	no	—
976	C₂×SD₁₆	—	5	1	no	—
977	C₂×SD₁₆	—	5	1	no	—
978	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
979	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
980	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
981	C₄⋊Q₈	—	2	1	no	—
982	C₄⋊Q₈	—	5	1	no	—
983	C₄⋊Q₈	—	5	1	no	—
984	C₄⋊Q₈	—	5	1	no	—
985	C₄⋊Q₈	—	5	1	no	—
986	C₄⋊Q₈	—	5	1	no	—
987	C₄⋊Q₈	—	5	1	no	—
988	C₄⋊Q₈	—	5	1	no	—
989	C₄⋊Q₈	—	5	1	no	—
990	C₄⋊Q₈	—	5	1	no	—
991	C₄⋊Q₈	—	10	1	no	—
992	C₄⋊Q₈	—	10	1	no	—
993	C₄⋊Q₈	—	10	1	no	—
994	C₄⋊Q₈	—	10	1	no	—
995	C₄⋊Q₈	—	10	1	no	—
996	C₄⋊Q₈	—	10	1	no	—
997	C₄⋊Q₈	—	10	1	no	—
998	C₄⋊Q₈	—	10	1	no	—
999	C₄⋊Q₈	—	10	1	no	—
1000	C₄⋊Q₈	—	10	1	no	—
1001	C₄⋊Q₈	—	10	1	no	—
1002	C₄⋊Q₈	—	10	1	no	—
1003	C₄⋊Q₈	—	10	1	no	—
1004	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1005	#127	—	5	1	no	—
1006	#127	—	5	1	no	—
1007	#127	—	5	1	no	—
1008	#127	C₂²×D₅	1	1	yes	characteristic
1009	#127	C₂²×D₅	1	1	yes	characteristic
1010	#127	C₂²×D₅	1	1	yes	characteristic
1011	#125	—	2	1	no	—
1012	#125	—	2	1	no	—
1013	#125	—	5	1	no	—
1014	#125	—	5	1	no	—
1015	#125	—	5	1	no	—
1016	#125	—	5	1	no	—
1017	#125	—	5	1	no	—
1018	#125	—	5	1	no	—
1019	#125	—	5	1	no	—
1020	#125	—	5	1	no	—
1021	#125	—	5	1	no	—
1022	#125	—	5	1	no	—
1023	#125	—	10	1	no	—
1024	#125	—	10	1	no	—
1025	#125	—	10	1	no	—
1026	#125	—	10	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	—	10	1	no	—
1033	#125	—	10	1	no	—
1034	#125	—	10	1	no	—
1035	#125	C₂²×D₅	1	1	yes	characteristic
1036	#125	C₂²×D₅	1	1	yes	characteristic
1037	#124	—	10	1	no	—
1038	#124	—	10	1	no	—
1039	#123	—	10	1	no	—
1040	#123	—	10	1	no	—
1041	#123	—	10	1	no	—
1042	#123	—	10	1	no	—
1043	#123	—	10	1	no	—
1044	#123	—	10	1	no	—
1045	#123	—	10	1	no	—
1046	#123	—	10	1	no	—
1047	C₂²⋊Q₈	—	5	1	no	—
1048	C₂²⋊Q₈	—	5	1	no	—
1049	C₂²⋊Q₈	—	5	1	no	—
1050	C₂²⋊Q₈	—	5	1	no	—
1051	C₂²⋊Q₈	—	10	1	no	—
1052	C₂²⋊Q₈	—	10	1	no	—
1053	C₂²⋊Q₈	—	10	1	no	—
1054	C₂²⋊Q₈	—	10	1	no	—
1055	C₂²⋊Q₈	—	10	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	#121	—	2	1	no	—
1070	#121	—	2	1	no	—
1071	#121	—	2	1	no	—
1072	#121	—	5	1	no	—
1073	#121	—	5	1	no	—
1074	#121	—	5	1	no	—
1075	#121	—	5	1	no	—
1076	#121	—	10	1	no	—
1077	#121	—	10	1	no	—
1078	#121	—	10	1	no	—
1079	#121	—	10	1	no	—
1080	#121	—	10	1	no	—
1081	#121	—	10	1	no	—
1082	#121	—	10	1	no	—
1083	#121	—	10	1	no	—
1084	#121	—	10	1	no	—
1085	#121	—	10	1	no	—
1086	#121	—	10	1	no	—
1087	#121	—	10	1	no	—
1088	#121	—	10	1	no	—
1089	#121	—	10	1	no	—
1090	#121	—	10	1	no	—
1091	#121	—	10	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	C₄×Q₈	—	2	1	no	—
1096	C₄×Q₈	—	5	1	no	—
1097	C₄×Q₈	—	5	1	no	—
1098	C₄×Q₈	—	5	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	—	10	1	no	—
1114	C₄×Q₈	—	10	1	no	—
1115	C₄×Q₈	—	10	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1124	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1125	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1139	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1140	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1141	#117	—	5	1	no	—
1142	#117	—	5	1	no	—
1143	#117	—	5	1	no	—
1144	#117	—	5	1	no	—
1145	#117	—	10	1	no	—
1146	#117	—	10	1	no	—
1147	#117	—	10	1	no	—
1148	#117	—	10	1	no	—
1149	C₂×C₄⋊C₄	—	5	1	no	—
1150	C₂×C₄⋊C₄	—	10	1	no	—
1151	C₂×C₄⋊C₄	—	10	1	no	—
1152	C₂×C₄⋊C₄	—	10	1	no	—
1153	C₂×C₄⋊C₄	—	10	1	no	—
1154	C₂×C₄⋊C₄	—	10	1	no	—
1155	C₂×C₄²	—	5	1	no	—
1156	C₂×C₄²	—	10	1	no	—
1157	#107	—	5	1	no	—
1158	#107	—	5	1	no	—
1159	#107	—	5	1	no	—
1160	#107	—	5	1	no	—
1161	#107	—	5	1	no	—
1162	#107	—	5	1	no	—
1163	#107	—	5	1	no	—
1164	#107	—	5	1	no	—
1165	#107	—	5	1	no	—
1166	#107	—	5	1	no	—
1167	#107	C₂²×D₅	1	1	yes	characteristic
1168	#107	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1180	#106	C₂²×D₅	1	1	yes	characteristic
1181	C₄⋊C₈	—	5	1	no	—
1182	C₄⋊C₈	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1191	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1193	#103	—	5	1	no	—
1194	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1201	#102	—	5	1	no	—
1202	#102	—	5	1	no	—
1203	#102	—	5	1	no	—
1204	#102	—	5	1	no	—
1205	#102	—	5	1	no	—
1206	#102	—	5	1	no	—
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	—	5	1	no	—
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	#102	C₂²×D₅	1	1	yes	characteristic
1220	#102	C₂²×D₅	1	1	yes	characteristic
1221	#102	C₂²×D₅	1	1	yes	characteristic
1222	#102	C₂²×D₅	1	1	yes	characteristic
1223	#102	C₂²×D₅	1	1	yes	characteristic
1224	#102	C₂²×D₅	1	1	yes	characteristic
1225	C₂²⋊C₈	—	5	1	no	—
1226	C₂²⋊C₈	—	5	1	no	—
1227	C₂²⋊C₈	—	5	1	no	—
1228	C₂²⋊C₈	—	5	1	no	—
1229	#97	—	5	1	no	—
1230	#97	—	5	1	no	—
1231	#97	—	5	1	no	—
1232	#97	—	5	1	no	—
1233	#97	C₂²×D₅	1	1	yes	characteristic
1234	#97	C₂²×D₅	1	1	yes	characteristic
1235	C₄×C₈	—	5	1	no	—
1236	C₄×C₈	—	5	1	no	—
1237	C₄×C₈	—	5	1	no	—
1238	C₄×C₈	—	5	1	no	—
1239	C₄×C₈	—	5	1	no	—
1240	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1241	C₂²×C₅	—	4	1	no	—
1242	C₂²×C₅	—	4	1	no	—
1243	C₂²×C₅	—	4	1	no	—
1244	C₂²×C₅	—	4	1	no	—
1245	C₂²×C₅	—	4	1	no	—
1246	C₂²×C₅	—	4	1	no	—
1247	C₂²×C₅	—	4	1	no	—
1248	C₂²×C₅	—	4	1	no	—
1249	C₂²×C₅	—	4	1	no	—
1250	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1251	C₂×D₅	—	2	1	no	—
1252	C₂×D₅	—	2	1	no	—
1253	C₂×D₅	—	2	1	no	—
1254	C₂×D₅	—	4	1	no	—
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	—	4	1	no	—
1257	C₄×C₅	—	2	1	no	—
1258	C₄×C₅	—	2	1	no	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	2	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	2	1	no	—
1264	C₄×C₅	—	4	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1269	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1270	Dic₅	—	2	1	no	—
1271	Dic₅	—	2	1	no	—
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	2	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	4	1	no	—
1278	Dic₅	—	4	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	#577	1	2	yes	—
1284	#41	—	8	2	no	—
1285	#41	—	40	2	no	—
1286	#41	—	40	2	no	—
1287	#41	—	40	2	no	—
1288	#41	—	40	2	no	—
1289	#41	—	40	2	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	5	1	no	—
1292	C₂×Q₈	—	5	1	no	—
1293	C₂×Q₈	—	5	1	no	—
1294	C₂×Q₈	—	5	1	no	—
1295	C₂×Q₈	—	10	1	no	—
1296	C₂×Q₈	—	10	1	no	—
1297	C₂×Q₈	—	10	1	no	—
1298	C₂×Q₈	—	10	1	no	—
1299	C₂×Q₈	—	10	1	no	—
1300	C₂×Q₈	—	10	1	no	—
1301	C₂×Q₈	—	10	2	no	—
1302	C₂×Q₈	—	10	2	no	—
1303	C₂×Q₈	—	10	1	no	—
1304	C₂×Q₈	—	10	1	no	—
1305	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1306	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	2	1	no	—
1309	C₂×D₄	—	2	1	no	—
1310	C₂×D₄	—	2	1	no	—
1311	C₂×D₄	—	2	1	no	—
1312	C₂×D₄	—	2	1	no	—
1313	C₂×D₄	—	5	1	no	—
1314	C₂×D₄	—	10	1	no	—
1315	C₂×D₄	—	10	1	no	—
1316	C₂×D₄	—	10	1	no	—
1317	C₂×D₄	—	10	1	no	—
1318	C₂×D₄	—	10	1	no	—
1319	C₂×D₄	—	10	1	no	—
1320	C₂×D₄	—	10	1	no	—
1321	C₂×D₄	—	10	1	no	—
1322	C₂×D₄	—	10	1	no	—
1323	C₂×D₄	—	10	1	no	—
1324	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1325	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1326	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1327	C₂²×C₄	—	2	1	no	—
1328	C₂²×C₄	—	2	1	no	—
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	5	1	no	—
1331	C₂²×C₄	—	5	1	no	—
1332	C₂²×C₄	—	5	1	no	—
1333	C₂²×C₄	—	10	1	no	—
1334	C₂²×C₄	—	10	1	no	—
1335	C₂²×C₄	—	10	1	no	—
1336	C₂²×C₄	—	10	1	no	—
1337	C₂²×C₄	—	10	1	no	—
1338	C₂²×C₄	—	10	1	no	—
1339	C₂²×C₄	—	10	1	no	—
1340	C₂²×C₄	—	10	1	no	—
1341	C₂²×C₄	—	10	1	no	—
1342	C₂²×C₄	—	10	1	no	—
1343	C₂²×C₄	—	10	1	no	—
1344	SD₁₆	—	2	2	no	—
1345	SD₁₆	—	2	2	no	—
1346	SD₁₆	—	2	2	no	—
1347	SD₁₆	—	10	2	no	—
1348	SD₁₆	—	10	2	no	—
1349	SD₁₆	—	10	2	no	—
1350	SD₁₆	—	10	2	no	—
1351	SD₁₆	—	10	2	no	—
1352	C₂×C₈	—	5	1	no	—
1353	C₂×C₈	—	5	1	no	—
1354	C₂×C₈	—	5	1	no	—
1355	C₂×C₈	—	5	1	no	—
1356	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	5	1	no	—
1369	C₄⋊C₄	—	5	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	5	1	no	—
1383	C₄⋊C₄	—	5	1	no	—
1384	C₄⋊C₄	—	5	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	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	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1421	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1422	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1423	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	5	1	no	—
1431	C₂²⋊C₄	—	5	1	no	—
1432	C₂²⋊C₄	—	5	1	no	—
1433	C₂²⋊C₄	—	5	1	no	—
1434	C₂²⋊C₄	—	10	1	no	—
1435	C₂²⋊C₄	—	10	1	no	—
1436	C₂²⋊C₄	—	10	1	no	—
1437	C₂²⋊C₄	—	10	1	no	—
1438	C₂²⋊C₄	—	10	1	no	—
1439	C₂²⋊C₄	—	10	1	no	—
1440	C₂²⋊C₄	—	10	1	no	—
1441	C₂²⋊C₄	—	10	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	2	1	no	—
1452	C₄²	—	5	1	no	—
1453	C₄²	—	5	1	no	—
1454	C₄²	—	5	1	no	—
1455	C₄²	—	5	1	no	—
1456	C₄²	—	5	1	no	—
1457	C₄²	—	10	1	no	—
1458	C₄²	—	10	1	no	—
1459	C₄²	—	10	1	no	—
1460	C₄²	—	10	1	no	—
1461	C₄²	—	10	1	no	—
1462	C₄²	—	10	1	no	—
1463	C₄²	—	10	1	no	—
1464	C₄²	—	10	1	no	—
1465	C₄²	—	10	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	C₂³×D₅	1	1	yes	characteristic
1469	C₄²	C₂³×D₅	1	1	yes	characteristic
1470	C₄²	C₂³×D₅	1	1	yes	characteristic
1471	C₂×C₅	—	8	1	no	—
1472	C₂×C₅	—	8	1	no	—
1473	C₂×C₅	—	8	1	no	—
1474	C₂×C₅	#3486	1	1	yes	characteristic
1475	C₂×C₅	C₂×#577	1	1	yes	characteristic
1476	C₂×C₅	#3585	1	1	yes	characteristic
1477	D₅	—	4	1	no	—
1478	D₅	—	8	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	5	1	no	—
1483	C₂³	—	10	1	no	—
1484	Q₈	—	2	1	no	—
1485	Q₈	—	4	1	no	—
1486	Q₈	—	5	2	no	—
1487	Q₈	—	8	1	no	—
1488	Q₈	—	10	2	no	—
1489	Q₈	—	10	2	no	—
1490	Q₈	—	10	4	no	—
1491	Q₈	—	10	1	no	—
1492	Q₈	—	20	1	no	—
1493	Q₈	—	20	2	no	—
1494	Q₈	—	40	1	no	—
1495	Q₈	—	40	1	no	—
1496	Q₈	—	40	1	no	—
1497	Q₈	—	40	1	no	—
1498	Q₈	—	40	1	no	—
1499	Q₈	—	40	1	no	—
1500	Q₈	#4150	1	2	yes	—
1501	D₄	—	2	1	no	—
1502	D₄	—	2	1	no	—
1503	D₄	—	2	1	no	—
1504	D₄	—	2	1	no	—
1505	D₄	—	2	1	no	—
1506	D₄	—	2	1	no	—
1507	D₄	—	4	2	no	—
1508	D₄	—	8	1	no	—
1509	D₄	—	8	1	no	—
1510	D₄	—	8	1	no	—
1511	D₄	—	8	1	no	—
1512	D₄	—	8	1	no	—
1513	D₄	—	10	1	no	—
1514	D₄	—	10	1	no	—
1515	D₄	—	20	2	no	—
1516	D₄	—	40	1	no	—
1517	D₄	—	40	1	no	—
1518	D₄	—	40	1	no	—
1519	D₄	—	40	1	no	—
1520	D₄	—	40	1	no	—
1521	D₄	—	40	1	no	—
1522	D₄	—	40	1	no	—
1523	D₄	—	40	1	no	—
1524	D₄	—	40	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	4	2	no	—
1531	C₂×C₄	—	5	1	no	—
1532	C₂×C₄	—	5	1	no	—
1533	C₂×C₄	—	5	1	no	—
1534	C₂×C₄	—	5	1	no	—
1535	C₂×C₄	—	5	1	no	—
1536	C₂×C₄	—	5	1	no	—
1537	C₂×C₄	—	5	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	8	1	no	—
1540	C₂×C₄	—	10	2	no	—
1541	C₂×C₄	—	10	4	no	—
1542	C₂×C₄	—	10	1	no	—
1543	C₂×C₄	—	10	1	no	—
1544	C₂×C₄	—	10	1	no	—
1545	C₂×C₄	—	10	1	no	—
1546	C₂×C₄	—	10	1	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	10	1	no	—
1550	C₂×C₄	—	10	1	no	—
1551	C₂×C₄	—	20	1	no	—
1552	C₂×C₄	—	20	2	no	—
1553	C₂×C₄	—	20	2	no	—
1554	C₂×C₄	—	20	2	no	—
1555	C₂×C₄	—	40	1	no	—
1556	C₂×C₄	—	40	1	no	—
1557	C₂×C₄	—	40	1	no	—
1558	C₂×C₄	—	40	1	no	—
1559	C₂×C₄	—	40	1	no	—
1560	C₂×C₄	—	40	1	no	—
1561	C₂×C₄	—	40	1	no	—
1562	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1563	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1564	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1565	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1566	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1569	C₈	—	2	1	no	—
1570	C₈	—	2	1	no	—
1571	C₈	—	2	1	no	—
1572	C₈	—	2	1	no	—
1573	C₈	—	10	1	no	—
1574	C₈	—	10	1	no	—
1575	C₈	—	10	1	no	—
1576	C₈	—	10	1	no	—
1577	C₅	#61851	1	1	yes	characteristic, complemented, Sylow
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	10	1	no	—
1588	C₂²	—	10	1	no	—
1589	C₂²	—	10	1	no	—
1590	C₂²	—	20	1	no	—
1591	C₂²	—	20	1	no	—
1592	C₂²	—	20	1	no	—
1593	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1594	C₄	—	2	2	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	5	2	no	—
1606	C₄	—	10	1	no	—
1607	C₄	—	10	2	no	—
1608	C₄	—	10	1	no	—
1609	C₄	—	10	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	20	1	no	—
1614	C₄	—	20	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	C₂×#4150	1	1	yes	characteristic
1620	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1621	C₂	—	8	1	no	—
1622	C₂	—	8	1	no	—
1623	C₂	—	8	1	no	—
1624	C₂	—	20	1	no	—
1625	C₂	—	40	1	no	—
1626	C₂	#10618636	1	1	yes	characteristic
1627	C₂	#10619093	1	1	yes	characteristic
1628	C₂	D₅×#577	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3368	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618681	C₂
hypercenter	#3368	D₅
hypocenter	C₅	#61851
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3368

Complements

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

N	H ≅ G/N	type
1. #10618933	C₂	semidirect
3. C₅×#3368	C₂	semidirect
4. #10615426	C₂	semidirect
5. #10615318	C₂	semidirect
6. #10613454	C₂	semidirect
7. #10613453	C₂	semidirect
8. #10613440	C₂	semidirect
9. #10613440	C₂	semidirect
10. #10613319	C₂	semidirect
11. #10613306	C₂	semidirect
12. #10612908	C₂	semidirect
13. #10612903	C₂	semidirect
14. #10612892	C₂	semidirect
15. #10612888	C₂	semidirect
16. #10612704	C₂	semidirect
17. #10612691	C₂	semidirect
18. #10612103	C₂	semidirect
19. #10612103	C₂	semidirect
20. #10612100	C₂	semidirect
21. #10612096	C₂	semidirect
22. #10612096	C₂	semidirect
23. #10612091	C₂	semidirect
24. #10611709	C₂	semidirect
25. #10611697	C₂	semidirect
26. #10611520	C₂	semidirect
27. #10611512	C₂	semidirect
28. #10611493	C₂	semidirect
29. #10611490	C₂	semidirect
30. #10611392	C₂	semidirect
31. #10611364	C₂	semidirect
494. #3368	D₅	semidirect
1577. C₅	#61851	semidirect

Maximal subgroups

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

subgroup	index
#10618933	2
#10618681	2
C₅×#3368	2
#10615426	2
#10615318	2
#10613454	2
#10613453	2
#10613440	2
#10613319	2
#10613306	2
#10612908	2
#10612903	2
#10612892	2
#10612888	2
#10612704	2
#10612691	2
#10612103	2
#10612100	2
#10612096	2
#10612091	2
#10611709	2
#10611697	2
#10611520	2
#10611512	2
#10611493	2
#10611490	2
#10611392	2
#10611364	2
#61851	5