Subgroups — #12996320

Order 1280.

1628 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618421	C₂	1	1	yes	maximal, characteristic
2	#10617785	C₂	1	1	yes	maximal, characteristic
3	C₅×#3127	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615184	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614281	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613270	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613265	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613261	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613239	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612971	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612969	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612963	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#479	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612219	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612217	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612192	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612189	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611927	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611927	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611926	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611924	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611576	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611572	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611551	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611548	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611472	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611466	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611440	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611433	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611110	C₂	1	1	yes	maximal, characteristic
31	#10611094	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#541	C₂²	1	1	yes	characteristic
33	C₅×#519	C₂²	1	1	yes	characteristic
34	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	#66065	C₂²	1	1	yes	characteristic
37	#66062	C₂²	1	1	yes	characteristic
38	#66046	—	2	1	no	—
39	#66042	—	2	1	no	—
40	#66041	—	2	1	no	—
41	#66035	—	2	1	no	—
42	#66030	—	2	1	no	—
43	#66028	—	2	1	no	—
44	#66023	—	2	1	no	—
45	#66023	C₂²	1	1	yes	characteristic
46	D₅×#125	C₂²	1	1	yes	characteristic
47	C₅⋊#564	—	2	1	no	—
48	#65976	C₂²	1	1	yes	characteristic
49	#65973	C₂²	1	1	yes	characteristic
50	#65973	C₂²	1	1	yes	characteristic
51	#65969	C₂²	1	1	yes	characteristic
52	#65917	—	2	1	no	—
53	#65917	C₂²	1	1	yes	characteristic
54	#65915	—	2	1	no	—
55	#65915	C₂²	1	1	yes	characteristic
56	#65915	C₂²	1	1	yes	characteristic
57	#65913	C₂²	1	1	yes	characteristic
58	#65912	—	2	1	no	—
59	#65912	C₂²	1	1	yes	characteristic
60	Q₈×D₂₀	C₂²	1	1	yes	characteristic
61	#65906	C₂²	1	1	yes	characteristic
62	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
63	#65904	C₂²	1	1	yes	characteristic
64	#65903	C₂²	1	1	yes	characteristic
65	#65903	C₂²	1	1	yes	characteristic
66	#65901	—	2	1	no	—
67	#65901	C₂²	1	1	yes	characteristic
68	#65867	—	2	1	no	—
69	#65867	C₂²	1	1	yes	characteristic
70	#65863	—	2	1	no	—
71	#65863	C₂²	1	1	yes	characteristic
72	#65862	—	2	1	no	—
73	#65862	C₂²	1	1	yes	characteristic
74	#65853	C₂²	1	1	yes	characteristic
75	#65852	—	2	1	no	—
76	#65852	C₂²	1	1	yes	characteristic
77	C₅×#485	C₂²	1	1	yes	characteristic
78	C₅×#485	C₂²	1	1	yes	characteristic
79	C₅×#479	C₂²	1	1	yes	characteristic
80	C₅×#479	C₂²	1	1	yes	characteristic
81	C₅×#462	C₂²	1	1	yes	characteristic
82	C₅×#462	C₂²	1	1	yes	characteristic
83	C₅×#451	C₂²	1	1	yes	characteristic
84	C₅×#451	C₂²	1	1	yes	characteristic
85	C₅×#441	C₂²	1	1	yes	characteristic
86	C₅×#441	C₂²	1	1	yes	characteristic
87	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
88	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
89	C₅×#433	C₂²	1	1	yes	characteristic
90	#65514	C₂²	1	1	yes	characteristic
91	C₂×#3967	C₂²	1	1	yes	characteristic
92	#65478	C₂²	1	1	yes	characteristic
93	#65477	C₂²	1	1	yes	characteristic
94	#65477	C₂²	1	1	yes	characteristic
95	#65477	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic
97	#65475	C₂²	1	1	yes	characteristic
98	#65475	C₂²	1	1	yes	characteristic
99	#65475	C₂²	1	1	yes	characteristic
100	#65473	C₂²	1	1	yes	characteristic
101	#65473	C₂²	1	1	yes	characteristic
102	#65473	C₂²	1	1	yes	characteristic
103	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
104	#65471	C₂²	1	1	yes	characteristic
105	#65471	C₂²	1	1	yes	characteristic
106	#65471	C₂²	1	1	yes	characteristic
107	#65471	C₂²	1	1	yes	characteristic
108	#65379	C₂²	1	1	yes	characteristic
109	#65379	C₂²	1	1	yes	characteristic
110	#65352	C₂²	1	1	yes	characteristic
111	#65352	C₂²	1	1	yes	characteristic
112	#65341	C₂²	1	1	yes	characteristic
113	#65341	C₂²	1	1	yes	characteristic
114	#65340	C₂²	1	1	yes	characteristic
115	#65340	C₂²	1	1	yes	characteristic
116	#65320	C₂²	1	1	yes	characteristic
117	#65320	C₂²	1	1	yes	characteristic
118	#65311	C₂²	1	1	yes	characteristic
119	#65311	C₂²	1	1	yes	characteristic
120	#65311	C₂²	1	1	yes	characteristic
121	#65311	C₂²	1	1	yes	characteristic
122	#65311	C₂²	1	1	yes	characteristic
123	#65311	C₂²	1	1	yes	characteristic
124	#65310	C₂²	1	1	yes	characteristic
125	#65310	C₂²	1	1	yes	characteristic
126	#65309	C₂²	1	1	yes	characteristic
127	#65309	C₂²	1	1	yes	characteristic
128	#65288	C₂²	1	1	yes	characteristic
129	#65287	C₂²	1	1	yes	characteristic
130	#65284	C₂²	1	1	yes	characteristic
131	#65173	C₂²	1	1	yes	characteristic
132	#65173	C₂²	1	1	yes	characteristic
133	#65169	C₂²	1	1	yes	characteristic
134	D₅×#107	C₂²	1	1	yes	characteristic
135	#65166	C₂²	1	1	yes	characteristic
136	#65166	C₂²	1	1	yes	characteristic
137	#65165	C₂²	1	1	yes	characteristic
138	#65165	C₂²	1	1	yes	characteristic
139	#65156	C₂²	1	1	yes	characteristic
140	#65151	C₂²	1	1	yes	characteristic
141	#65150	C₂²	1	1	yes	characteristic
142	D₅×#106	C₂²	1	1	yes	characteristic
143	#65147	C₂²	1	1	yes	characteristic
144	#65146	C₂²	1	1	yes	characteristic
145	#65145	C₂²	1	1	yes	characteristic
146	#65143	C₂²	1	1	yes	characteristic
147	#65140	C₂²	1	1	yes	characteristic
148	#65139	C₂²	1	1	yes	characteristic
149	#65129	C₂²	1	1	yes	characteristic
150	#65128	C₂²	1	1	yes	characteristic
151	#65124	C₂²	1	1	yes	characteristic
152	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
153	#65118	C₂²	1	1	yes	characteristic
154	#65118	C₂²	1	1	yes	characteristic
155	#65105	C₂²	1	1	yes	characteristic
156	#65104	C₂²	1	1	yes	characteristic
157	#65104	C₂²	1	1	yes	characteristic
158	#65103	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic
160	#65102	C₂²	1	1	yes	characteristic
161	#65102	C₂²	1	1	yes	characteristic
162	#65098	C₂²	1	1	yes	characteristic
163	#65094	C₂²	1	1	yes	characteristic
164	#65094	C₂²	1	1	yes	characteristic
165	#65094	C₂²	1	1	yes	characteristic
166	#65094	C₂²	1	1	yes	characteristic
167	#65091	C₂²	1	1	yes	characteristic
168	D₅×#103	C₂²	1	1	yes	characteristic
169	D₅×#103	C₂²	1	1	yes	characteristic
170	D₅×#103	C₂²	1	1	yes	characteristic
171	#65088	C₂²	1	1	yes	characteristic
172	#65088	C₂²	1	1	yes	characteristic
173	#65086	C₂²	1	1	yes	characteristic
174	#65086	C₂²	1	1	yes	characteristic
175	#65086	C₂²	1	1	yes	characteristic
176	#65085	C₂²	1	1	yes	characteristic
177	#65085	C₂²	1	1	yes	characteristic
178	#65085	C₂²	1	1	yes	characteristic
179	#65083	C₂²	1	1	yes	characteristic
180	#65083	C₂²	1	1	yes	characteristic
181	#65083	C₂²	1	1	yes	characteristic
182	#65081	C₂²	1	1	yes	characteristic
183	#65079	C₂²	1	1	yes	characteristic
184	#65078	C₂²	1	1	yes	characteristic
185	#65078	C₂²	1	1	yes	characteristic
186	#65078	C₂²	1	1	yes	characteristic
187	#65019	C₂²	1	1	yes	characteristic
188	#65017	C₂²	1	1	yes	characteristic
189	#65017	C₂²	1	1	yes	characteristic
190	#65014	C₂²	1	1	yes	characteristic
191	#65012	C₂²	1	1	yes	characteristic
192	#65012	C₂²	1	1	yes	characteristic
193	#65011	C₂²	1	1	yes	characteristic
194	#65010	C₂²	1	1	yes	characteristic
195	#64995	C₂²	1	1	yes	characteristic
196	#64992	C₂²	1	1	yes	characteristic
197	#64991	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic
199	C₈×D₂₀	C₂²	1	1	yes	characteristic
200	#64972	C₂²	1	1	yes	characteristic
201	#64970	C₂²	1	1	yes	characteristic
202	#64968	C₂²	1	1	yes	characteristic
203	#62168	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₅×#126	—	2	1	no	—
213	C₅×#126	—	2	1	no	—
214	C₅×#125	—	2	1	no	—
215	C₅×#125	—	2	1	no	—
216	C₅×#125	C₂³	1	1	yes	characteristic
217	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₄×C₅×Q₈	—	2	1	no	—
220	C₄×C₅×Q₈	—	2	1	no	—
221	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
222	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₅×#117	—	2	1	no	—
228	C₅×#117	—	2	1	no	—
229	C₅×#117	C₂³	1	1	yes	characteristic
230	C₅×#117	C₂³	1	1	yes	characteristic
231	#4092	—	2	1	no	—
232	#4092	—	2	1	no	—
233	#4092	C₂³	1	1	yes	characteristic
234	#4092	C₂³	1	1	yes	characteristic
235	#4092	C₂³	1	1	yes	characteristic
236	#4092	C₂³	1	1	yes	characteristic
237	#4092	C₂³	1	1	yes	characteristic
238	#4092	C₂³	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	—	2	1	no	—
247	#4090	C₂³	1	1	yes	characteristic
248	#4090	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₄×C₂²⋊D₅	—	2	1	no	—
254	C₄×C₂²⋊D₅	—	2	1	no	—
255	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
256	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
257	#4072	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
259	#4070	—	2	1	no	—
260	#4070	—	2	1	no	—
261	#4070	C₂³	1	1	yes	characteristic
262	#4070	C₂³	1	1	yes	characteristic
263	C₂×#681	C₂³	1	1	yes	characteristic
264	C₂²×#168	C₂³	1	1	yes	characteristic
265	C₂×#676	C₂³	1	1	yes	characteristic
266	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
267	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
268	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
269	#4044	—	2	1	no	—
270	#4044	—	2	1	no	—
271	#4044	—	2	1	no	—
272	#4044	—	2	1	no	—
273	#4044	D₄	1	1	yes	characteristic
274	#4043	—	2	1	no	—
275	#4043	—	2	1	no	—
276	#4043	—	2	1	no	—
277	#4043	—	2	1	no	—
278	#4043	—	2	1	no	—
279	#4043	C₂³	1	1	yes	characteristic
280	#4043	C₂³	1	1	yes	characteristic
281	#4042	—	2	1	no	—
282	#4042	—	2	1	no	—
283	#4042	—	2	1	no	—
284	#4042	—	2	1	no	—
285	#4042	D₄	1	1	yes	characteristic
286	#4040	—	2	1	no	—
287	#4040	—	2	1	no	—
288	#4040	D₄	1	1	yes	characteristic
289	#4038	—	2	1	no	—
290	#4038	—	2	1	no	—
291	#4038	—	2	1	no	—
292	#4038	—	2	1	no	—
293	#4038	C₂³	1	1	yes	characteristic
294	#4038	C₂³	1	1	yes	characteristic
295	D₅×C₄⋊C₄	—	2	1	no	—
296	D₅×C₄⋊C₄	—	2	1	no	—
297	D₅×C₄⋊C₄	—	2	1	no	—
298	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
299	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
300	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
301	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
302	#4036	—	2	1	no	—
303	#4036	—	2	1	no	—
304	#4036	—	2	1	no	—
305	#4036	—	2	1	no	—
306	#4036	—	2	1	no	—
307	#4036	—	2	1	no	—
308	#4036	—	2	1	no	—
309	#4036	C₂³	1	1	yes	characteristic
310	#4036	C₂³	1	1	yes	characteristic
311	#4036	C₂³	1	1	yes	characteristic
312	#4036	C₂³	1	1	yes	characteristic
313	#4035	—	2	1	no	—
314	#4035	—	2	1	no	—
315	#4035	—	2	1	no	—
316	#4035	—	2	1	no	—
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	—	2	1	no	—
326	#4035	—	2	1	no	—
327	#4035	—	2	1	no	—
328	#4035	—	2	1	no	—
329	#4035	D₄	1	1	yes	characteristic
330	#4034	—	2	1	no	—
331	#4034	—	2	1	no	—
332	#4034	—	2	1	no	—
333	#4034	—	2	1	no	—
334	#4034	C₂³	1	1	yes	characteristic
335	#4034	C₂³	1	1	yes	characteristic
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	C₂³	1	1	yes	characteristic
340	#4033	C₂³	1	1	yes	characteristic
341	#4032	—	2	1	no	—
342	#4031	—	2	1	no	—
343	#4031	D₄	1	1	yes	characteristic
344	#4030	D₄	1	1	yes	characteristic
345	#4029	—	2	1	no	—
346	#4029	—	2	1	no	—
347	#4029	—	2	1	no	—
348	#4029	D₄	1	1	yes	characteristic
349	#4027	—	2	1	no	—
350	#4025	—	2	1	no	—
351	#4025	—	2	1	no	—
352	#4025	—	2	1	no	—
353	#4025	—	2	1	no	—
354	#4025	—	2	1	no	—
355	#4025	—	2	1	no	—
356	#4025	D₄	1	1	yes	characteristic
357	#4024	—	2	1	no	—
358	#4024	—	2	1	no	—
359	#4024	—	2	1	no	—
360	#4023	—	2	1	no	—
361	#4022	—	2	1	no	—
362	#4022	—	2	1	no	—
363	#4022	—	2	1	no	—
364	#4022	—	2	1	no	—
365	C₄×D₂₀	—	2	1	no	—
366	C₄×D₂₀	—	2	1	no	—
367	C₄×D₂₀	C₂³	1	1	yes	characteristic
368	#4018	—	2	1	no	—
369	#4018	—	2	1	no	—
370	#4018	—	2	1	no	—
371	#4018	—	2	1	no	—
372	#4018	—	2	1	no	—
373	#4018	C₂³	1	1	yes	characteristic
374	C₄²×D₅	—	2	1	no	—
375	C₄²×D₅	C₂³	1	1	yes	characteristic
376	#4016	—	2	1	no	—
377	#4016	—	2	1	no	—
378	#4016	—	2	1	no	—
379	#4016	—	2	1	no	—
380	#4016	—	2	1	no	—
381	#4016	—	2	1	no	—
382	#4016	C₂³	1	1	yes	characteristic
383	#4016	C₂³	1	1	yes	characteristic
384	#4016	C₂³	1	1	yes	characteristic
385	#4015	—	2	1	no	—
386	#4015	—	2	1	no	—
387	#4015	C₂³	1	1	yes	characteristic
388	#4015	C₂³	1	1	yes	characteristic
389	#4015	C₂³	1	1	yes	characteristic
390	C₄×Dic₁₀	—	2	1	no	—
391	C₄×Dic₁₀	—	2	1	no	—
392	C₄×Dic₁₀	—	2	1	no	—
393	C₄×Dic₁₀	—	2	1	no	—
394	C₄×Dic₁₀	—	2	1	no	—
395	C₄×Dic₁₀	—	2	1	no	—
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×#106	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×#103	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×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×#97	C₂³	1	1	yes	characteristic
418	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3952	C₂³	1	1	yes	characteristic
432	#3952	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3952	C₂³	1	1	yes	characteristic
435	#3950	C₂³	1	1	yes	characteristic
436	#3950	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	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	#3949	C₂³	1	1	yes	characteristic
443	#3948	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#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	#3940	C₂³	1	1	yes	characteristic
468	#3940	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	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3563	—	5	1	no	—
480	#3523	—	5	1	no	—
481	#3390	—	5	1	no	—
482	#3390	—	5	1	no	—
483	#3374	—	5	1	no	—
484	#3374	—	5	1	no	—
485	#3349	—	5	1	no	—
486	#3349	—	5	1	no	—
487	#3344	—	5	1	no	—
488	#3344	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3312	—	5	1	no	—
492	#3312	—	5	1	no	—
493	#3312	—	5	1	no	—
494	#3312	—	5	1	no	—
495	#3299	—	5	1	no	—
496	#3299	—	5	1	no	—
497	#3261	—	5	1	no	—
498	#3261	—	5	1	no	—
499	#3249	—	5	1	no	—
500	#3242	—	5	1	no	—
501	#3242	—	5	1	no	—
502	#3236	—	5	1	no	—
503	#3127	—	5	1	no	—
504	#3127	D₅	1	1	yes	characteristic, complemented
505	#3113	—	5	1	no	—
506	#3082	—	5	1	no	—
507	#3082	—	5	1	no	—
508	C₂×#479	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂×C₅×Q₈	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	2	no	—
512	C₂×C₅×Q₈	—	4	1	no	—
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	—	2	1	no	—
518	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
519	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
520	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
521	C₂²×Dic₅	—	2	1	no	—
522	Q₈×D₅	—	2	2	no	—
523	Q₈×D₅	—	2	2	no	—
524	Q₈×D₅	—	4	1	no	—
525	Q₈×D₅	—	4	1	no	—
526	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
527	C₂×C₄×D₅	—	2	1	no	—
528	C₂×C₄×D₅	—	2	1	no	—
529	C₂×C₄×D₅	—	2	1	no	—
530	C₂×C₄×D₅	—	2	1	no	—
531	C₂×C₄×D₅	—	2	1	no	—
532	C₂×C₄×D₅	—	2	1	no	—
533	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
534	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
535	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
536	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
537	C₂×Dic₁₀	—	2	1	no	—
538	C₂×Dic₁₀	—	2	1	no	—
539	C₂×Dic₁₀	—	2	1	no	—
540	C₂×Dic₁₀	—	2	1	no	—
541	C₂×Dic₁₀	—	2	1	no	—
542	C₂×Dic₁₀	—	2	1	no	—
543	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
544	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
545	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
546	C₅×Q₁₆	—	2	2	no	—
547	C₅×Q₁₆	—	2	2	no	—
548	C₅×Q₁₆	—	4	1	no	—
549	C₅×Q₁₆	—	4	1	no	—
550	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
551	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
552	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
553	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
554	C₅×C₄⋊C₄	—	2	1	no	—
555	C₅×C₄⋊C₄	—	2	1	no	—
556	C₅×C₄⋊C₄	—	2	1	no	—
557	C₅×C₄⋊C₄	—	2	1	no	—
558	C₅×C₄⋊C₄	—	2	1	no	—
559	C₅×C₄⋊C₄	—	2	1	no	—
560	C₅×C₄⋊C₄	—	2	1	no	—
561	C₅×C₄⋊C₄	—	2	1	no	—
562	C₅×C₄⋊C₄	—	2	1	no	—
563	C₅×C₄⋊C₄	—	2	1	no	—
564	C₅×C₄⋊C₄	—	2	1	no	—
565	C₅×C₄⋊C₄	—	2	1	no	—
566	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
567	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
568	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
569	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
570	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
571	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
572	C₅×C₂²⋊C₄	—	2	1	no	—
573	C₅×C₂²⋊C₄	—	2	1	no	—
574	C₅×C₂²⋊C₄	—	2	1	no	—
575	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
576	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
577	C₄²×C₅	—	2	1	no	—
578	C₄²×C₅	—	2	1	no	—
579	C₄²×C₅	—	2	1	no	—
580	C₄²×C₅	—	2	1	no	—
581	C₄²×C₅	—	2	1	no	—
582	C₄²×C₅	—	2	1	no	—
583	C₄²×C₅	—	2	1	no	—
584	C₄²×C₅	C₂⁴	1	1	yes	characteristic
585	C₄²×C₅	C₂⁴	1	1	yes	characteristic
586	C₂²⋊Dic₅	—	2	1	no	—
587	C₂²⋊Dic₅	—	2	1	no	—
588	C₂²⋊Dic₅	—	2	1	no	—
589	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
590	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
591	#689	—	4	1	no	—
592	#689	—	4	1	no	—
593	#689	—	4	1	no	—
594	#689	—	4	1	no	—
595	#685	—	2	1	no	—
596	#685	—	2	1	no	—
597	#685	—	2	1	no	—
598	#685	—	2	1	no	—
599	#685	—	2	1	no	—
600	#685	—	2	1	no	—
601	#685	—	2	1	no	—
602	#685	—	2	1	no	—
603	#685	—	2	1	no	—
604	#685	—	2	1	no	—
605	#685	C₂×D₄	1	1	yes	characteristic
606	#685	C₂×D₄	1	1	yes	characteristic
607	#685	C₂×D₄	1	1	yes	characteristic
608	#685	C₂×D₄	1	1	yes	characteristic
609	#685	C₂×D₄	1	1	yes	characteristic
610	#685	C₂×D₄	1	1	yes	characteristic
611	C₄⋊Dic₅	—	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	—	2	1	no	—
627	C₄⋊Dic₅	—	2	1	no	—
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	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	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	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	—	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	#681	—	4	1	no	—
692	C₂×#168	—	4	1	no	—
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	#676	—	4	1	no	—
698	C₈×D₅	—	4	1	no	—
699	C₈×D₅	—	4	1	no	—
700	C₈×D₅	—	4	1	no	—
701	#564	—	10	1	no	—
702	#563	—	10	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	#556	—	5	1	no	—
709	#556	—	10	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#552	—	5	1	no	—
713	#552	—	5	1	no	—
714	#552	—	5	1	no	—
715	#552	—	5	1	no	—
716	#552	—	5	1	no	—
717	#552	—	5	1	no	—
718	#552	—	10	1	no	—
719	#552	—	10	1	no	—
720	#552	—	10	1	no	—
721	#552	—	10	1	no	—
722	D₄×Q₈	—	5	1	no	—
723	D₄×Q₈	—	5	1	no	—
724	D₄×Q₈	—	5	1	no	—
725	#544	—	5	1	no	—
726	#544	—	5	1	no	—
727	#544	—	10	1	no	—
728	#541	—	5	1	no	—
729	#541	—	5	1	no	—
730	#541	—	5	1	no	—
731	#541	—	10	1	no	—
732	#541	—	10	1	no	—
733	#541	—	10	1	no	—
734	#541	—	10	1	no	—
735	#541	C₂×D₅	1	1	yes	characteristic
736	#539	—	10	1	no	—
737	#533	—	5	1	no	—
738	#533	—	5	1	no	—
739	#533	—	10	1	no	—
740	#529	—	5	1	no	—
741	#529	—	10	1	no	—
742	C₂×#125	—	5	1	no	—
743	#519	—	5	1	no	—
744	#519	C₂×D₅	1	1	yes	characteristic
745	C₂×C₄×Q₈	—	5	1	no	—
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#501	—	5	1	no	—
749	#501	—	5	1	no	—
750	#499	—	5	1	no	—
751	#499	—	5	1	no	—
752	#491	—	5	1	no	—
753	#491	—	5	1	no	—
754	#491	—	5	1	no	—
755	#491	—	5	1	no	—
756	#487	—	5	1	no	—
757	#487	—	5	1	no	—
758	#485	—	5	1	no	—
759	#485	—	5	1	no	—
760	#485	—	5	1	no	—
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	C₂×D₅	1	1	yes	characteristic
765	#485	C₂×D₅	1	1	yes	characteristic
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#484	—	5	1	no	—
769	#484	—	5	1	no	—
770	#483	—	5	1	no	—
771	#483	—	5	1	no	—
772	#483	—	5	1	no	—
773	#483	—	5	1	no	—
774	#483	—	5	1	no	—
775	#483	—	5	1	no	—
776	#479	—	5	1	no	—
777	#479	—	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	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	C₂×D₅	1	1	yes	characteristic
795	#479	C₂×D₅	1	1	yes	characteristic
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#477	—	5	1	no	—
801	#477	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	—	5	1	no	—
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#470	—	5	1	no	—
807	#470	—	5	1	no	—
808	#470	—	5	1	no	—
809	#470	—	5	1	no	—
810	#467	—	5	1	no	—
811	#467	—	5	1	no	—
812	#467	—	5	1	no	—
813	#467	—	5	1	no	—
814	#467	—	5	1	no	—
815	#467	—	5	1	no	—
816	#467	—	5	1	no	—
817	#467	—	5	1	no	—
818	#462	—	5	1	no	—
819	#462	—	5	1	no	—
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#462	—	5	1	no	—
825	#462	—	5	1	no	—
826	#462	C₂×D₅	1	1	yes	characteristic
827	#462	C₂×D₅	1	1	yes	characteristic
828	#451	—	5	1	no	—
829	#451	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	C₂×D₅	1	1	yes	characteristic
833	#451	C₂×D₅	1	1	yes	characteristic
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#441	—	5	1	no	—
837	#441	—	5	1	no	—
838	#441	—	5	1	no	—
839	#441	—	5	1	no	—
840	#441	—	5	1	no	—
841	#441	—	5	1	no	—
842	#441	C₂×D₅	1	1	yes	characteristic
843	#441	C₂×D₅	1	1	yes	characteristic
844	C₄×Q₁₆	—	5	1	no	—
845	C₄×Q₁₆	—	5	1	no	—
846	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
847	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
848	#435	—	5	1	no	—
849	#435	—	5	1	no	—
850	#435	—	5	1	no	—
851	#435	—	5	1	no	—
852	C₈×D₄	—	5	1	no	—
853	C₈×D₄	—	5	1	no	—
854	#433	—	5	1	no	—
855	#433	C₂×D₅	1	1	yes	characteristic
856	#432	—	5	1	no	—
857	#428	—	5	1	no	—
858	#428	—	5	1	no	—
859	#427	—	5	1	no	—
860	#427	—	5	1	no	—
861	C₂×#107	—	5	1	no	—
862	C₂×#106	—	5	1	no	—
863	#424	—	5	1	no	—
864	#424	—	5	1	no	—
865	C₂×C₄⋊C₈	—	5	1	no	—
866	#419	—	5	1	no	—
867	#419	—	5	1	no	—
868	C₂×#103	—	5	1	no	—
869	C₂×#103	—	5	1	no	—
870	C₂×#103	—	5	1	no	—
871	C₂×#103	—	5	1	no	—
872	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
873	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
874	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
875	C₅×Q₈	—	2	1	no	—
876	C₅×Q₈	—	2	1	no	—
877	C₅×Q₈	—	2	1	no	—
878	C₅×Q₈	—	2	1	no	—
879	C₅×Q₈	—	2	1	no	—
880	C₅×Q₈	—	2	1	no	—
881	C₅×Q₈	—	2	1	no	—
882	C₅×Q₈	—	4	2	no	—
883	C₅×Q₈	2₋¹⁺⁴	1	2	yes	—
884	C₂×C₄×C₅	—	2	1	no	—
885	C₂×C₄×C₅	—	2	1	no	—
886	C₂×C₄×C₅	—	2	1	no	—
887	C₂×C₄×C₅	—	2	1	no	—
888	C₂×C₄×C₅	—	2	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	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
901	C₂²⋊D₅	—	2	2	no	—
902	C₂²⋊D₅	—	4	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	—	2	1	no	—
908	C₂×Dic₅	—	2	1	no	—
909	C₂×Dic₅	—	2	1	no	—
910	C₂×Dic₅	—	2	1	no	—
911	C₂×Dic₅	—	8	1	no	—
912	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	D₂₀	—	2	2	no	—
919	C₄×D₅	—	2	2	no	—
920	C₄×D₅	—	2	1	no	—
921	C₄×D₅	—	2	1	no	—
922	C₄×D₅	—	2	1	no	—
923	C₄×D₅	—	2	1	no	—
924	C₄×D₅	—	4	1	no	—
925	C₄×D₅	—	4	2	no	—
926	C₄×D₅	—	4	2	no	—
927	C₄×D₅	—	4	2	no	—
928	C₄×D₅	—	4	2	no	—
929	C₄×D₅	—	8	1	no	—
930	C₄×D₅	—	8	1	no	—
931	Dic₁₀	—	2	1	no	—
932	Dic₁₀	—	2	1	no	—
933	Dic₁₀	—	2	1	no	—
934	Dic₁₀	—	2	1	no	—
935	Dic₁₀	—	4	1	no	—
936	Dic₁₀	—	4	2	no	—
937	Dic₁₀	—	4	2	no	—
938	Dic₁₀	—	4	2	no	—
939	Dic₁₀	—	8	1	no	—
940	Dic₁₀	—	8	1	no	—
941	Dic₁₀	—	8	1	no	—
942	C₅×C₈	—	2	1	no	—
943	C₅×C₈	—	2	1	no	—
944	C₅×C₈	—	2	1	no	—
945	C₅×C₈	—	2	1	no	—
946	#168	—	2	1	no	—
947	#168	—	2	1	no	—
948	#168	—	2	1	no	—
949	#168	—	2	1	no	—
950	C₂²×Q₈	—	5	1	no	—
951	C₂²×Q₈	—	5	1	no	—
952	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
953	C₂×Q₁₆	—	5	1	no	—
954	C₂×Q₁₆	—	5	1	no	—
955	C₂×Q₁₆	—	5	1	no	—
956	C₂×Q₁₆	—	5	1	no	—
957	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
958	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
959	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
960	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
961	C₂×M₁₆	—	5	1	no	—
962	C₂×M₁₆	—	5	1	no	—
963	C₂²×C₈	—	5	1	no	—
964	C₂²×C₈	—	5	1	no	—
965	C₂²×C₈	—	5	1	no	—
966	C₂²×C₈	—	5	1	no	—
967	C₄⋊Q₈	—	5	1	no	—
968	C₄⋊Q₈	—	5	1	no	—
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	—	10	1	no	—
975	C₄⋊Q₈	—	10	1	no	—
976	C₄⋊Q₈	—	10	1	no	—
977	C₄⋊Q₈	—	10	1	no	—
978	C₄⋊Q₈	—	10	1	no	—
979	C₄⋊Q₈	—	10	1	no	—
980	C₄⋊Q₈	—	10	1	no	—
981	C₄⋊Q₈	—	10	1	no	—
982	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
983	#126	—	2	1	no	—
984	#126	—	2	1	no	—
985	#126	—	5	1	no	—
986	#126	—	5	1	no	—
987	#126	—	10	1	no	—
988	#126	—	10	1	no	—
989	#126	—	10	1	no	—
990	#126	—	10	1	no	—
991	#126	—	10	1	no	—
992	#126	—	10	1	no	—
993	#126	—	10	1	no	—
994	#126	—	10	1	no	—
995	#126	—	10	1	no	—
996	#126	—	10	1	no	—
997	#126	—	10	1	no	—
998	#126	—	10	1	no	—
999	#126	—	10	1	no	—
1000	#126	—	10	1	no	—
1001	#125	—	2	1	no	—
1002	#125	—	2	1	no	—
1003	#125	—	5	1	no	—
1004	#125	—	5	1	no	—
1005	#125	—	5	1	no	—
1006	#125	—	5	1	no	—
1007	#125	—	5	1	no	—
1008	#125	—	5	1	no	—
1009	#125	—	5	1	no	—
1010	#125	—	5	1	no	—
1011	#125	—	10	1	no	—
1012	#125	—	10	1	no	—
1013	#125	—	10	1	no	—
1014	#125	—	10	1	no	—
1015	#125	—	10	1	no	—
1016	#125	—	10	1	no	—
1017	#125	—	10	1	no	—
1018	#125	—	10	1	no	—
1019	#125	—	10	1	no	—
1020	#125	—	10	1	no	—
1021	#125	—	10	1	no	—
1022	#125	—	10	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	—	10	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	C₂²×D₅	1	1	yes	characteristic
1041	#124	—	5	1	no	—
1042	#124	—	10	1	no	—
1043	#123	—	5	1	no	—
1044	#123	—	5	1	no	—
1045	#123	—	10	1	no	—
1046	#123	—	10	1	no	—
1047	#123	—	10	1	no	—
1048	#123	—	10	1	no	—
1049	#123	—	10	1	no	—
1050	#123	—	10	1	no	—
1051	C₂²⋊Q₈	—	5	1	no	—
1052	C₂²⋊Q₈	—	5	1	no	—
1053	C₂²⋊Q₈	—	5	1	no	—
1054	C₂²⋊Q₈	—	5	1	no	—
1055	C₂²⋊Q₈	—	5	1	no	—
1056	C₂²⋊Q₈	—	5	1	no	—
1057	C₂²⋊Q₈	—	5	1	no	—
1058	C₂²⋊Q₈	—	5	1	no	—
1059	C₂²⋊Q₈	—	5	1	no	—
1060	C₂²⋊Q₈	—	5	1	no	—
1061	C₂²⋊Q₈	—	5	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	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1079	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1080	#121	—	5	1	no	—
1081	C₄×Q₈	—	2	1	no	—
1082	C₄×Q₈	—	2	1	no	—
1083	C₄×Q₈	—	5	1	no	—
1084	C₄×Q₈	—	5	1	no	—
1085	C₄×Q₈	—	5	1	no	—
1086	C₄×Q₈	—	5	1	no	—
1087	C₄×Q₈	—	5	1	no	—
1088	C₄×Q₈	—	5	1	no	—
1089	C₄×Q₈	—	5	1	no	—
1090	C₄×Q₈	—	5	1	no	—
1091	C₄×Q₈	—	5	1	no	—
1092	C₄×Q₈	—	5	1	no	—
1093	C₄×Q₈	—	5	1	no	—
1094	C₄×Q₈	—	10	1	no	—
1095	C₄×Q₈	—	10	1	no	—
1096	C₄×Q₈	—	10	1	no	—
1097	C₄×Q₈	—	10	1	no	—
1098	C₄×Q₈	—	10	1	no	—
1099	C₄×Q₈	—	10	1	no	—
1100	C₄×Q₈	—	10	1	no	—
1101	C₄×Q₈	—	10	1	no	—
1102	C₄×Q₈	—	10	1	no	—
1103	C₄×Q₈	—	10	1	no	—
1104	C₄×Q₈	—	10	1	no	—
1105	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1106	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1107	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1108	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1109	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1110	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1111	C₄×D₄	—	5	1	no	—
1112	C₄×D₄	—	5	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	10	1	no	—
1115	C₄×D₄	—	10	1	no	—
1116	C₄×D₄	—	10	1	no	—
1117	C₄×D₄	—	10	1	no	—
1118	C₄×D₄	—	10	1	no	—
1119	#117	—	2	1	no	—
1120	#117	—	2	1	no	—
1121	#117	—	5	1	no	—
1122	#117	—	5	1	no	—
1123	#117	—	5	1	no	—
1124	#117	—	5	1	no	—
1125	#117	—	10	1	no	—
1126	#117	—	10	1	no	—
1127	#117	—	10	1	no	—
1128	#117	—	10	1	no	—
1129	#117	—	10	1	no	—
1130	#117	—	10	1	no	—
1131	#117	—	10	1	no	—
1132	#117	—	10	1	no	—
1133	#117	—	10	1	no	—
1134	#117	—	10	1	no	—
1135	#117	C₂²×D₅	1	1	yes	characteristic
1136	#117	C₂²×D₅	1	1	yes	characteristic
1137	C₂×C₄⋊C₄	—	5	1	no	—
1138	C₂×C₄⋊C₄	—	5	1	no	—
1139	C₂×C₄⋊C₄	—	5	1	no	—
1140	C₂×C₄⋊C₄	—	5	1	no	—
1141	C₂×C₄⋊C₄	—	5	1	no	—
1142	C₂×C₄⋊C₄	—	10	1	no	—
1143	C₂×C₄⋊C₄	—	10	1	no	—
1144	C₂×C₄⋊C₄	—	10	1	no	—
1145	C₂×C₄²	—	5	1	no	—
1146	C₂×C₄²	—	10	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1158	#107	C₂²×D₅	1	1	yes	characteristic
1159	#106	—	5	1	no	—
1160	#106	—	5	1	no	—
1161	#106	—	5	1	no	—
1162	#106	—	5	1	no	—
1163	#106	—	5	1	no	—
1164	#106	—	5	1	no	—
1165	#106	—	5	1	no	—
1166	#106	—	5	1	no	—
1167	#106	—	5	1	no	—
1168	#106	—	5	1	no	—
1169	#106	C₂²×D₅	1	1	yes	characteristic
1170	#106	C₂²×D₅	1	1	yes	characteristic
1171	C₄⋊C₈	—	5	1	no	—
1172	C₄⋊C₈	—	5	1	no	—
1173	C₄⋊C₈	—	5	1	no	—
1174	C₄⋊C₈	—	5	1	no	—
1175	C₄⋊C₈	—	5	1	no	—
1176	C₄⋊C₈	—	5	1	no	—
1177	C₄⋊C₈	—	5	1	no	—
1178	C₄⋊C₈	—	5	1	no	—
1179	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1180	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1181	#103	—	5	1	no	—
1182	#103	—	5	1	no	—
1183	#103	—	5	1	no	—
1184	#103	—	5	1	no	—
1185	#103	—	5	1	no	—
1186	#103	—	5	1	no	—
1187	#103	—	5	1	no	—
1188	#103	—	5	1	no	—
1189	#103	—	5	1	no	—
1190	#103	—	5	1	no	—
1191	#103	—	5	1	no	—
1192	#103	—	5	1	no	—
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	—	5	1	no	—
1201	#103	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	—	5	1	no	—
1205	#103	C₂²×D₅	1	1	yes	characteristic
1206	#103	C₂²×D₅	1	1	yes	characteristic
1207	#103	C₂²×D₅	1	1	yes	characteristic
1208	#103	C₂²×D₅	1	1	yes	characteristic
1209	#103	C₂²×D₅	1	1	yes	characteristic
1210	#103	C₂²×D₅	1	1	yes	characteristic
1211	#103	C₂²×D₅	1	1	yes	characteristic
1212	#103	C₂²×D₅	1	1	yes	characteristic
1213	C₂²⋊C₈	—	5	1	no	—
1214	C₂²⋊C₈	—	5	1	no	—
1215	C₂²⋊C₈	—	5	1	no	—
1216	C₂²⋊C₈	—	5	1	no	—
1217	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1218	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1219	#97	—	5	1	no	—
1220	#97	—	5	1	no	—
1221	#97	—	5	1	no	—
1222	#97	C₂²×D₅	1	1	yes	characteristic
1223	C₄×C₈	—	5	1	no	—
1224	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1225	C₂²×C₅	—	2	1	no	—
1226	C₂²×C₅	—	2	1	no	—
1227	C₂²×C₅	—	2	1	no	—
1228	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1229	C₂×D₅	—	2	1	no	—
1230	C₂×D₅	—	2	1	no	—
1231	C₂×D₅	—	2	1	no	—
1232	C₂×D₅	—	2	1	no	—
1233	C₂×D₅	—	2	1	no	—
1234	C₂×D₅	#578	1	2	yes	—
1235	C₄×C₅	—	2	1	no	—
1236	C₄×C₅	—	2	1	no	—
1237	C₄×C₅	—	2	2	no	—
1238	C₄×C₅	—	2	1	no	—
1239	C₄×C₅	—	2	1	no	—
1240	C₄×C₅	—	2	1	no	—
1241	C₄×C₅	—	4	1	no	—
1242	C₄×C₅	—	4	1	no	—
1243	C₄×C₅	—	4	1	no	—
1244	C₄×C₅	—	4	1	no	—
1245	C₄×C₅	—	4	1	no	—
1246	C₄×C₅	—	4	1	no	—
1247	C₄×C₅	—	4	1	no	—
1248	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1249	C₄×C₅	#585	1	1	yes	characteristic
1250	Dic₅	—	2	1	no	—
1251	Dic₅	—	2	1	no	—
1252	Dic₅	—	2	1	no	—
1253	Dic₅	—	2	1	no	—
1254	Dic₅	—	2	1	no	—
1255	Dic₅	—	2	1	no	—
1256	Dic₅	—	4	1	no	—
1257	Dic₅	—	4	1	no	—
1258	Dic₅	—	4	1	no	—
1259	Dic₅	—	4	1	no	—
1260	Dic₅	—	4	1	no	—
1261	Dic₅	—	4	1	no	—
1262	Dic₅	—	4	1	no	—
1263	Dic₅	—	4	1	no	—
1264	C₂×Q₈	—	2	1	no	—
1265	C₂×Q₈	—	2	2	no	—
1266	C₂×Q₈	—	4	1	no	—
1267	C₂×Q₈	—	5	1	no	—
1268	C₂×Q₈	—	5	1	no	—
1269	C₂×Q₈	—	5	1	no	—
1270	C₂×Q₈	—	10	1	no	—
1271	C₂×Q₈	—	10	1	no	—
1272	C₂×Q₈	—	10	1	no	—
1273	C₂×Q₈	—	10	1	no	—
1274	C₂×Q₈	—	10	1	no	—
1275	C₂×Q₈	—	10	1	no	—
1276	C₂×Q₈	—	10	2	no	—
1277	C₂×Q₈	—	10	2	no	—
1278	C₂×Q₈	—	20	1	no	—
1279	C₂×Q₈	—	20	1	no	—
1280	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1281	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1282	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1283	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1284	C₂×D₄	—	5	1	no	—
1285	C₂×D₄	—	5	1	no	—
1286	C₂×D₄	—	5	1	no	—
1287	C₂²×C₄	—	2	1	no	—
1288	C₂²×C₄	—	5	1	no	—
1289	C₂²×C₄	—	5	1	no	—
1290	C₂²×C₄	—	5	1	no	—
1291	C₂²×C₄	—	5	1	no	—
1292	C₂²×C₄	—	10	1	no	—
1293	C₂²×C₄	—	10	1	no	—
1294	C₂²×C₄	—	10	1	no	—
1295	C₂²×C₄	—	10	1	no	—
1296	C₂²×C₄	—	10	1	no	—
1297	C₂²×C₄	—	10	1	no	—
1298	C₂²×C₄	—	10	1	no	—
1299	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1300	Q₁₆	—	2	2	no	—
1301	Q₁₆	—	2	2	no	—
1302	Q₁₆	—	4	1	no	—
1303	Q₁₆	—	4	1	no	—
1304	Q₁₆	—	20	1	no	—
1305	Q₁₆	—	20	1	no	—
1306	Q₁₆	—	20	1	no	—
1307	Q₁₆	—	20	1	no	—
1308	M₁₆	—	20	1	no	—
1309	M₁₆	—	20	1	no	—
1310	C₂×C₈	—	5	1	no	—
1311	C₂×C₈	—	5	1	no	—
1312	C₂×C₈	—	5	1	no	—
1313	C₂×C₈	—	5	1	no	—
1314	C₂×C₈	—	20	1	no	—
1315	C₂×C₈	—	20	1	no	—
1316	C₂×C₈	—	20	1	no	—
1317	C₂×C₈	—	20	1	no	—
1318	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1319	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1320	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1321	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1322	C₄⋊C₄	—	2	1	no	—
1323	C₄⋊C₄	—	2	1	no	—
1324	C₄⋊C₄	—	2	1	no	—
1325	C₄⋊C₄	—	2	1	no	—
1326	C₄⋊C₄	—	2	1	no	—
1327	C₄⋊C₄	—	2	1	no	—
1328	C₄⋊C₄	—	2	1	no	—
1329	C₄⋊C₄	—	2	1	no	—
1330	C₄⋊C₄	—	2	1	no	—
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	5	1	no	—
1335	C₄⋊C₄	—	5	1	no	—
1336	C₄⋊C₄	—	5	1	no	—
1337	C₄⋊C₄	—	5	1	no	—
1338	C₄⋊C₄	—	5	1	no	—
1339	C₄⋊C₄	—	5	1	no	—
1340	C₄⋊C₄	—	5	1	no	—
1341	C₄⋊C₄	—	5	1	no	—
1342	C₄⋊C₄	—	5	1	no	—
1343	C₄⋊C₄	—	5	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	—	10	1	no	—
1349	C₄⋊C₄	—	10	1	no	—
1350	C₄⋊C₄	—	10	1	no	—
1351	C₄⋊C₄	—	10	1	no	—
1352	C₄⋊C₄	—	10	1	no	—
1353	C₄⋊C₄	—	10	1	no	—
1354	C₄⋊C₄	—	10	1	no	—
1355	C₄⋊C₄	—	10	1	no	—
1356	C₄⋊C₄	—	10	1	no	—
1357	C₄⋊C₄	—	10	1	no	—
1358	C₄⋊C₄	—	10	1	no	—
1359	C₄⋊C₄	—	10	1	no	—
1360	C₄⋊C₄	—	10	1	no	—
1361	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1398	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1399	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1400	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1401	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1402	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1403	C₂²⋊C₄	—	2	1	no	—
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	5	1	no	—
1407	C₂²⋊C₄	—	5	1	no	—
1408	C₂²⋊C₄	—	5	1	no	—
1409	C₂²⋊C₄	—	5	1	no	—
1410	C₂²⋊C₄	—	5	1	no	—
1411	C₂²⋊C₄	—	5	1	no	—
1412	C₂²⋊C₄	—	5	1	no	—
1413	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1427	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1428	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1429	C₄²	—	2	1	no	—
1430	C₄²	—	2	1	no	—
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	2	1	no	—
1435	C₄²	—	2	1	no	—
1436	C₄²	—	5	1	no	—
1437	C₄²	—	5	1	no	—
1438	C₄²	—	5	1	no	—
1439	C₄²	—	5	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	—	10	1	no	—
1453	C₄²	C₂³×D₅	1	1	yes	characteristic
1454	C₄²	C₂³×D₅	1	1	yes	characteristic
1455	C₂×C₅	—	4	1	no	—
1456	C₂×C₅	#3489	1	1	yes	characteristic
1457	C₂×C₅	C₂×#578	1	1	yes	characteristic
1458	C₂×C₅	#3586	1	1	yes	characteristic
1459	D₅	—	2	2	no	—
1460	D₅	—	4	1	no	—
1461	C₂³	—	5	1	no	—
1462	C₂³	—	5	1	no	—
1463	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1464	Q₈	—	2	1	no	—
1465	Q₈	—	2	1	no	—
1466	Q₈	—	2	1	no	—
1467	Q₈	—	2	1	no	—
1468	Q₈	—	2	1	no	—
1469	Q₈	—	2	1	no	—
1470	Q₈	—	2	1	no	—
1471	Q₈	—	4	2	no	—
1472	Q₈	—	10	1	no	—
1473	Q₈	—	10	1	no	—
1474	Q₈	—	10	1	no	—
1475	Q₈	—	10	1	no	—
1476	Q₈	—	20	1	no	—
1477	Q₈	—	20	2	no	—
1478	Q₈	—	20	2	no	—
1479	Q₈	—	20	2	no	—
1480	Q₈	—	40	1	no	—
1481	Q₈	—	40	1	no	—
1482	Q₈	—	40	1	no	—
1483	Q₈	#4150	1	2	yes	—
1484	D₄	—	10	2	no	—
1485	D₄	—	10	2	no	—
1486	D₄	—	20	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	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	—	4	2	no	—
1498	C₂×C₄	—	5	1	no	—
1499	C₂×C₄	—	5	1	no	—
1500	C₂×C₄	—	5	1	no	—
1501	C₂×C₄	—	5	1	no	—
1502	C₂×C₄	—	5	1	no	—
1503	C₂×C₄	—	5	1	no	—
1504	C₂×C₄	—	10	2	no	—
1505	C₂×C₄	—	10	1	no	—
1506	C₂×C₄	—	10	1	no	—
1507	C₂×C₄	—	10	1	no	—
1508	C₂×C₄	—	10	1	no	—
1509	C₂×C₄	—	10	1	no	—
1510	C₂×C₄	—	10	1	no	—
1511	C₂×C₄	—	10	1	no	—
1512	C₂×C₄	—	10	1	no	—
1513	C₂×C₄	—	10	1	no	—
1514	C₂×C₄	—	10	1	no	—
1515	C₂×C₄	—	10	1	no	—
1516	C₂×C₄	—	10	1	no	—
1517	C₂×C₄	—	20	1	no	—
1518	C₂×C₄	—	20	2	no	—
1519	C₂×C₄	—	20	2	no	—
1520	C₂×C₄	—	20	2	no	—
1521	C₂×C₄	—	20	2	no	—
1522	C₂×C₄	—	40	1	no	—
1523	C₂×C₄	—	40	1	no	—
1524	C₂×C₄	—	40	1	no	—
1525	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1526	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1527	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1528	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1529	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1530	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1531	C₈	—	2	1	no	—
1532	C₈	—	2	1	no	—
1533	C₈	—	2	1	no	—
1534	C₈	—	2	1	no	—
1535	C₈	—	10	1	no	—
1536	C₈	—	10	1	no	—
1537	C₈	—	10	1	no	—
1538	C₈	—	10	1	no	—
1539	C₅	#62168	1	1	yes	characteristic, complemented, Sylow
1540	C₂²	—	2	1	no	—
1541	C₂²	—	2	1	no	—
1542	C₂²	—	2	1	no	—
1543	C₂²	—	5	2	no	—
1544	C₂²	—	10	1	no	—
1545	C₂²	—	10	1	no	—
1546	C₂²	—	10	1	no	—
1547	C₂²	—	10	1	no	—
1548	C₂²	—	10	1	no	—
1549	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1550	C₄	—	2	1	no	—
1551	C₄	—	2	2	no	—
1552	C₄	—	2	1	no	—
1553	C₄	—	2	1	no	—
1554	C₄	—	2	1	no	—
1555	C₄	—	2	1	no	—
1556	C₄	—	4	1	no	—
1557	C₄	—	4	1	no	—
1558	C₄	—	4	1	no	—
1559	C₄	—	4	1	no	—
1560	C₄	—	4	1	no	—
1561	C₄	—	4	1	no	—
1562	C₄	—	4	1	no	—
1563	C₄	—	10	1	no	—
1564	C₄	—	10	1	no	—
1565	C₄	—	10	1	no	—
1566	C₄	—	10	1	no	—
1567	C₄	—	10	1	no	—
1568	C₄	—	10	1	no	—
1569	C₄	—	20	1	no	—
1570	C₄	—	20	1	no	—
1571	C₄	—	20	1	no	—
1572	C₄	—	20	1	no	—
1573	C₄	—	20	1	no	—
1574	C₄	—	20	1	no	—
1575	C₄	—	20	1	no	—
1576	C₄	—	20	1	no	—
1577	C₄	C₂×#4150	1	1	yes	characteristic
1578	C₄	#66283	1	1	yes	characteristic
1579	C₂	—	4	1	no	—
1580	C₂	—	10	2	no	—
1581	C₂	—	20	1	no	—
1582	C₂	#10617943	1	1	yes	characteristic
1583	C₂	D₅×#578	1	1	yes	characteristic
1584	C₂	#10619112	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×#3127	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#4030	D₄
hypercenter	#3127	D₅
hypocenter	C₅	#62168
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3127

Complements

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

N	H ≅ G/N	type
3. C₅×#3127	C₂	semidirect
4. #10615184	C₂	semidirect
5. #10614281	C₂	semidirect
6. #10613270	C₂	semidirect
7. #10613265	C₂	semidirect
8. #10613261	C₂	semidirect
9. #10613239	C₂	semidirect
10. #10612971	C₂	semidirect
11. #10612969	C₂	semidirect
12. #10612963	C₂	semidirect
13. D₅×#479	C₂	semidirect
14. #10612219	C₂	semidirect
15. #10612217	C₂	semidirect
16. #10612192	C₂	semidirect
17. #10612189	C₂	semidirect
18. #10611927	C₂	semidirect
19. #10611927	C₂	semidirect
20. #10611926	C₂	semidirect
21. #10611924	C₂	semidirect
22. #10611576	C₂	semidirect
23. #10611572	C₂	semidirect
24. #10611551	C₂	semidirect
25. #10611548	C₂	semidirect
26. #10611472	C₂	semidirect
27. #10611466	C₂	semidirect
28. #10611440	C₂	semidirect
29. #10611433	C₂	semidirect
31. #10611094	C₂	semidirect
504. #3127	D₅	semidirect
1539. C₅	#62168	semidirect

Maximal subgroups

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

subgroup	index
#10618421	2
#10617785	2
C₅×#3127	2
#10615184	2
#10614281	2
#10613270	2
#10613265	2
#10613261	2
#10613239	2
#10612971	2
#10612969	2
#10612963	2
D₅×#479	2
#10612219	2
#10612217	2
#10612192	2
#10612189	2
#10611927	2
#10611926	2
#10611924	2
#10611576	2
#10611572	2
#10611551	2
#10611548	2
#10611472	2
#10611466	2
#10611440	2
#10611433	2
#10611110	2
#10611094	2
#62168	5