Subgroups — #12979110

Order 1280.

1820 conjugacy classes of subgroups.

The subgroup lattice has 1660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618178	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618121	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3135	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615080	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615027	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613466	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613465	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613464	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613463	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613442	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613441	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613440	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613439	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613408	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613407	C₂	1	1	yes	maximal, characteristic, complemented
16	#10613406	C₂	1	1	yes	maximal, characteristic, complemented
17	#10613405	C₂	1	1	yes	maximal, characteristic, complemented
18	#10613404	C₂	1	1	yes	maximal, characteristic, complemented
19	#10613403	C₂	1	1	yes	maximal, characteristic, complemented
20	#10613402	C₂	1	1	yes	maximal, characteristic, complemented
21	#10613401	C₂	1	1	yes	maximal, characteristic, complemented
22	#10610592	C₂	1	1	yes	maximal, characteristic, complemented
23	#10610592	C₂	1	1	yes	maximal, characteristic, complemented
24	#10610557	C₂	1	1	yes	maximal, characteristic, complemented
25	#10610556	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610550	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610549	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610225	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#64990	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#533	C₂²	1	1	yes	characteristic
33	C₅×#532	C₂²	1	1	yes	characteristic
34	#66166	C₂²	1	1	yes	characteristic
35	#66166	C₂²	1	1	yes	characteristic
36	#41×Dic₅	C₂²	1	1	yes	characteristic
37	#41×Dic₅	C₂²	1	1	yes	characteristic
38	C₂×#4096	C₂²	1	1	yes	characteristic
39	C₂×#4096	C₂²	1	1	yes	characteristic
40	C₂×#4050	C₂²	1	1	yes	characteristic
41	#66066	C₂²	1	1	yes	characteristic
42	#66064	C₂²	1	1	yes	characteristic
43	#66061	C₂²	1	1	yes	characteristic
44	#66056	C₂²	1	1	yes	characteristic
45	#66055	C₂²	1	1	yes	characteristic
46	#66055	C₂²	1	1	yes	characteristic
47	#66052	C₂²	1	1	yes	characteristic
48	#66047	C₂²	1	1	yes	characteristic
49	#66024	C₂²	1	1	yes	characteristic
50	#66024	C₂²	1	1	yes	characteristic
51	#66019	C₂²	1	1	yes	characteristic
52	#66019	C₂²	1	1	yes	characteristic
53	#66015	C₂²	1	1	yes	characteristic
54	#66015	C₂²	1	1	yes	characteristic
55	#66005	C₂²	1	1	yes	characteristic
56	#66005	C₂²	1	1	yes	characteristic
57	#65970	—	2	1	no	—
58	#65970	—	2	1	no	—
59	#65969	—	2	1	no	—
60	#65966	—	2	1	no	—
61	#65952	—	2	1	no	—
62	#65935	—	2	1	no	—
63	#65935	—	2	1	no	—
64	#65932	—	2	1	no	—
65	#65912	—	2	1	no	—
66	#65912	—	2	1	no	—
67	#65912	—	2	1	no	—
68	C₄×Q₈×D₅	—	2	1	no	—
69	#65891	—	2	1	no	—
70	#65872	—	2	1	no	—
71	#65872	—	2	1	no	—
72	C₄×#711	—	2	1	no	—
73	#65856	C₂²	1	1	yes	characteristic
74	#65856	C₂²	1	1	yes	characteristic
75	#65851	C₂²	1	1	yes	characteristic
76	#65851	C₂²	1	1	yes	characteristic
77	C₄×#709	C₂²	1	1	yes	characteristic
78	C₄×#709	C₂²	1	1	yes	characteristic
79	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
80	C₅×#491	C₂²	1	1	yes	characteristic
81	C₅×#491	C₂²	1	1	yes	characteristic
82	C₅×#490	C₂²	1	1	yes	characteristic
83	C₅×#490	C₂²	1	1	yes	characteristic
84	C₅×#489	C₂²	1	1	yes	characteristic
85	C₅×#489	C₂²	1	1	yes	characteristic
86	C₅×#489	C₂²	1	1	yes	characteristic
87	C₅×#489	C₂²	1	1	yes	characteristic
88	C₅×#416	C₂²	1	1	yes	characteristic
89	C₅×#416	C₂²	1	1	yes	characteristic
90	C₅×#416	C₂²	1	1	yes	characteristic
91	C₅×#416	C₂²	1	1	yes	characteristic
92	C₂×C₅×#97	C₂²	1	1	yes	characteristic
93	#65522	C₂²	1	1	yes	characteristic
94	#65522	C₂²	1	1	yes	characteristic
95	#65402	C₂²	1	1	yes	characteristic
96	#65402	C₂²	1	1	yes	characteristic
97	#65395	C₂²	1	1	yes	characteristic
98	C₂×#3947	C₂²	1	1	yes	characteristic
99	C₂×#3946	C₂²	1	1	yes	characteristic
100	C₂×#3946	C₂²	1	1	yes	characteristic
101	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
102	#65383	C₂²	1	1	yes	characteristic
103	#65380	C₂²	1	1	yes	characteristic
104	#65379	C₂²	1	1	yes	characteristic
105	#65376	C₂²	1	1	yes	characteristic
106	#65373	C₂²	1	1	yes	characteristic
107	#65372	C₂²	1	1	yes	characteristic
108	#65364	C₂²	1	1	yes	characteristic
109	#65361	C₂²	1	1	yes	characteristic
110	#65355	C₂²	1	1	yes	characteristic
111	#65355	C₂²	1	1	yes	characteristic
112	#65352	C₂²	1	1	yes	characteristic
113	#65352	C₂²	1	1	yes	characteristic
114	#65346	C₂²	1	1	yes	characteristic
115	#65346	C₂²	1	1	yes	characteristic
116	#65343	C₂²	1	1	yes	characteristic
117	#65343	C₂²	1	1	yes	characteristic
118	#65291	C₂²	1	1	yes	characteristic
119	#65291	C₂²	1	1	yes	characteristic
120	#65287	C₂²	1	1	yes	characteristic
121	#65287	C₂²	1	1	yes	characteristic
122	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
123	#65108	C₂²	1	1	yes	characteristic
124	#65108	C₂²	1	1	yes	characteristic
125	#65107	C₂²	1	1	yes	characteristic
126	#65107	C₂²	1	1	yes	characteristic
127	#65106	C₂²	1	1	yes	characteristic
128	#65106	C₂²	1	1	yes	characteristic
129	#65089	C₂²	1	1	yes	characteristic
130	#65089	C₂²	1	1	yes	characteristic
131	#65088	C₂²	1	1	yes	characteristic
132	#65088	C₂²	1	1	yes	characteristic
133	#65087	C₂²	1	1	yes	characteristic
134	#65087	C₂²	1	1	yes	characteristic
135	#65086	C₂²	1	1	yes	characteristic
136	#65086	C₂²	1	1	yes	characteristic
137	#65085	C₂²	1	1	yes	characteristic
138	#65085	C₂²	1	1	yes	characteristic
139	#65084	C₂²	1	1	yes	characteristic
140	#65084	C₂²	1	1	yes	characteristic
141	#65083	C₂²	1	1	yes	characteristic
142	#65083	C₂²	1	1	yes	characteristic
143	#65082	C₂²	1	1	yes	characteristic
144	#65082	C₂²	1	1	yes	characteristic
145	#65081	C₂²	1	1	yes	characteristic
146	#65081	C₂²	1	1	yes	characteristic
147	#65080	C₂²	1	1	yes	characteristic
148	#65080	C₂²	1	1	yes	characteristic
149	#65079	C₂²	1	1	yes	characteristic
150	#65079	C₂²	1	1	yes	characteristic
151	#65078	C₂²	1	1	yes	characteristic
152	#65078	C₂²	1	1	yes	characteristic
153	#65077	C₂²	1	1	yes	characteristic
154	#65077	C₂²	1	1	yes	characteristic
155	#65076	C₂²	1	1	yes	characteristic
156	#65076	C₂²	1	1	yes	characteristic
157	#65075	C₂²	1	1	yes	characteristic
158	#65075	C₂²	1	1	yes	characteristic
159	#65074	C₂²	1	1	yes	characteristic
160	#65074	C₂²	1	1	yes	characteristic
161	#65057	C₂²	1	1	yes	characteristic
162	#65057	C₂²	1	1	yes	characteristic
163	#65056	C₂²	1	1	yes	characteristic
164	#65056	C₂²	1	1	yes	characteristic
165	#65055	C₂²	1	1	yes	characteristic
166	#65055	C₂²	1	1	yes	characteristic
167	#65054	C₂²	1	1	yes	characteristic
168	#65054	C₂²	1	1	yes	characteristic
169	#65053	C₂²	1	1	yes	characteristic
170	#65053	C₂²	1	1	yes	characteristic
171	#65052	C₂²	1	1	yes	characteristic
172	#65052	C₂²	1	1	yes	characteristic
173	#65051	C₂²	1	1	yes	characteristic
174	#65051	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	#65048	C₂²	1	1	yes	characteristic
180	#65048	C₂²	1	1	yes	characteristic
181	#65047	C₂²	1	1	yes	characteristic
182	#65047	C₂²	1	1	yes	characteristic
183	#65046	C₂²	1	1	yes	characteristic
184	#65046	C₂²	1	1	yes	characteristic
185	#65045	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65005	C₂²	1	1	yes	characteristic
188	#65005	C₂²	1	1	yes	characteristic
189	#65000	C₂²	1	1	yes	characteristic
190	#65000	C₂²	1	1	yes	characteristic
191	#64999	C₂²	1	1	yes	characteristic
192	#64999	C₂²	1	1	yes	characteristic
193	#64999	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic
195	#64990	C₂²	1	1	yes	characteristic
196	#64990	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic
199	#64990	C₂²	1	1	yes	characteristic
200	#64990	C₂²	1	1	yes	characteristic
201	#64990	C₂²	1	1	yes	characteristic
202	#64990	C₂²	1	1	yes	characteristic
203	#61316	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×#711	—	2	1	no	—
208	C₂×#709	C₂³	1	1	yes	characteristic
209	C₂×#709	C₂³	1	1	yes	characteristic
210	C₂²×Dic₁₀	D₄	1	1	yes	characteristic
211	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
212	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#127	C₂³	1	1	yes	characteristic
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#124	C₂³	1	1	yes	characteristic
220	C₅×#124	C₂³	1	1	yes	characteristic
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×#121	—	2	1	no	—
224	C₅×#121	—	2	1	no	—
225	C₄×C₅×Q₈	—	2	1	no	—
226	C₄×C₅×Q₈	—	2	1	no	—
227	C₄×C₅×D₄	—	2	1	no	—
228	C₄×C₅×D₄	—	2	1	no	—
229	C₅×#117	C₂³	1	1	yes	characteristic
230	C₅×#117	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
232	#4096	—	2	4	no	—
233	#4096	—	2	4	no	—
234	#4093	C₂³	1	1	yes	characteristic
235	#4093	C₂³	1	1	yes	characteristic
236	#4092	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	Q₈×Dic₅	—	2	1	no	—
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	#4090	—	2	1	no	—
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×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	#4086	C₂³	1	1	yes	characteristic
254	#4086	C₂³	1	1	yes	characteristic
255	#4085	—	2	1	no	—
256	#4085	—	2	1	no	—
257	#4085	—	2	1	no	—
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4084	—	2	1	no	—
262	#4082	—	2	1	no	—
263	#4082	C₂³	1	1	yes	characteristic
264	#4082	C₂³	1	1	yes	characteristic
265	#4081	—	2	1	no	—
266	#4081	—	2	1	no	—
267	D₄×Dic₅	—	2	1	no	—
268	D₄×Dic₅	—	2	1	no	—
269	D₄×Dic₅	—	2	1	no	—
270	D₄×Dic₅	—	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	C₂×#687	C₂³	1	1	yes	characteristic
277	C₂×#687	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	—	2	1	no	—
284	C₄×C₂²⋊D₅	—	2	1	no	—
285	C₄×C₂²⋊D₅	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	#4072	—	2	1	no	—
289	#4072	—	2	1	no	—
290	#4072	C₂³	1	1	yes	characteristic
291	#4072	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊Dic₅	D₄	1	1	yes	characteristic
293	C₂×#683	D₄	1	1	yes	characteristic
294	C₂×#683	D₄	1	1	yes	characteristic
295	C₂×C₄×Dic₅	—	2	1	no	—
296	C₂×C₄×Dic₅	—	2	1	no	—
297	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
299	C₂²×#168	C₂³	1	1	yes	characteristic
300	C₂²×#168	C₂³	1	1	yes	characteristic
301	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
302	#4050	—	2	4	no	—
303	C₂×D₄₀	C₂³	1	1	yes	characteristic
304	C₂×#677	C₂³	1	1	yes	characteristic
305	C₂×#677	C₂³	1	1	yes	characteristic
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4043	—	2	1	no	—
309	#4043	—	2	1	no	—
310	#4043	—	2	1	no	—
311	#4043	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4042	—	2	1	no	—
315	#4042	—	2	1	no	—
316	#4042	—	2	1	no	—
317	#4042	—	2	1	no	—
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4039	C₂³	1	1	yes	characteristic
322	#4038	—	2	1	no	—
323	D₅×C₄⋊C₄	—	2	1	no	—
324	D₅×C₄⋊C₄	—	2	1	no	—
325	D₅×C₄⋊C₄	—	2	1	no	—
326	#4036	—	2	1	no	—
327	#4036	C₂³	1	1	yes	characteristic
328	#4036	C₂³	1	1	yes	characteristic
329	#4036	C₂³	1	1	yes	characteristic
330	#4036	C₂³	1	1	yes	characteristic
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4035	—	2	1	no	—
337	#4035	—	2	1	no	—
338	#4035	—	2	1	no	—
339	#4034	—	2	1	no	—
340	#4034	—	2	1	no	—
341	#4034	—	2	1	no	—
342	#4034	C₂³	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4034	C₂³	1	1	yes	characteristic
345	#4034	C₂³	1	1	yes	characteristic
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	#4033	C₂³	1	1	yes	characteristic
354	#4032	—	2	1	no	—
355	#4032	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4025	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4024	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4023	—	2	1	no	—
377	#4023	—	2	1	no	—
378	C₄×D₂₀	C₂³	1	1	yes	characteristic
379	C₄×D₂₀	C₂³	1	1	yes	characteristic
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	#4018	—	2	1	no	—
383	#4018	—	2	1	no	—
384	#4018	—	2	1	no	—
385	#4018	—	2	1	no	—
386	C₄²×D₅	—	2	1	no	—
387	C₄²×D₅	—	2	1	no	—
388	C₄²×D₅	—	2	1	no	—
389	C₄²×D₅	—	2	1	no	—
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	D₄	1	1	yes	characteristic
395	C₄×Dic₁₀	D₄	1	1	yes	characteristic
396	C₄×Dic₁₀	D₄	1	1	yes	characteristic
397	C₄×Dic₁₀	D₄	1	1	yes	characteristic
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	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#103	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×#102	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#97	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₅×#97	C₂³	1	1	yes	characteristic
425	C₅×#97	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	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3950	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	#3948	C₂³	1	1	yes	characteristic
446	#3947	C₂³	1	1	yes	characteristic
447	#3947	C₂³	1	1	yes	characteristic
448	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	C₄⋊#168	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	#3480	—	5	1	no	—
483	Q₈×#41	—	5	1	no	—
484	#3377	—	5	1	no	—
485	#3377	—	5	1	no	—
486	#3376	—	5	1	no	—
487	#3376	—	5	1	no	—
488	#3375	—	5	1	no	—
489	#3374	—	5	1	no	—
490	#3373	—	5	1	no	—
491	#3372	—	5	1	no	—
492	#3371	—	5	1	no	—
493	#3371	—	5	1	no	—
494	#3370	—	5	1	no	—
495	#3370	—	5	1	no	—
496	#3369	—	5	1	no	—
497	#3368	—	5	1	no	—
498	#3367	—	5	1	no	—
499	#3366	—	5	1	no	—
500	#3135	—	5	1	no	—
501	#3135	D₅	1	1	yes	characteristic, complemented
502	#3131	—	5	1	no	—
503	#3076	—	5	1	no	—
504	#3076	—	5	1	no	—
505	#3076	—	5	1	no	—
506	#3035	—	5	1	no	—
507	#3035	—	5	1	no	—
508	#3035	—	5	1	no	—
509	C₂×#446	—	5	1	no	—
510	#2943	—	5	1	no	—
511	#2943	—	5	1	no	—
512	C₄×#135	—	5	1	no	—
513	C₅×#41	—	2	2	no	—
514	C₅×#41	—	2	2	no	—
515	C₅×#41	—	2	2	no	—
516	C₅×#41	—	2	2	no	—
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	—	2	1	no	—
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
530	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
544	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
545	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
546	Q₈×D₅	—	4	4	no	—
547	#711	—	4	4	no	—
548	#709	—	2	2	no	—
549	#709	—	2	2	no	—
550	#709	—	2	2	no	—
551	#709	#41	1	4	yes	complemented
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	—	4	2	no	—
569	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
570	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
571	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
572	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	—	2	2	no	—
576	C₂×C₅×C₈	—	2	2	no	—
577	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
579	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
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×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
602	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
603	C₄²×C₅	C₂⁴	1	1	yes	characteristic
604	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	#689	—	2	2	no	—
616	#689	—	2	2	no	—
617	#688	—	2	2	no	—
618	#688	—	2	2	no	—
619	#687	—	2	2	no	—
620	#687	—	2	2	no	—
621	#686	—	2	2	no	—
622	#686	—	2	2	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	—	2	1	no	—
640	C₄⋊Dic₅	—	2	1	no	—
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
650	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
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	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	C₂×#168	—	2	2	no	—
702	C₂×#168	—	2	2	no	—
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	Dic₂₀	—	2	2	no	—
708	D₄₀	—	2	2	no	—
709	#677	—	2	2	no	—
710	#677	—	2	2	no	—
711	C₂×#135	—	5	1	no	—
712	C₂×#135	—	5	1	no	—
713	C₂×#135	—	5	1	no	—
714	#559	—	5	1	no	—
715	#559	—	5	1	no	—
716	#559	—	5	1	no	—
717	Q₈²	—	5	1	no	—
718	#557	—	5	1	no	—
719	#557	—	5	1	no	—
720	#557	—	5	1	no	—
721	#557	—	5	1	no	—
722	#556	—	5	1	no	—
723	#556	—	5	1	no	—
724	#556	—	5	1	no	—
725	#554	—	5	1	no	—
726	#554	—	5	1	no	—
727	#554	—	5	1	no	—
728	#554	—	10	1	no	—
729	#554	—	10	1	no	—
730	#554	—	10	1	no	—
731	#553	—	10	1	no	—
732	#553	—	10	1	no	—
733	#553	—	10	1	no	—
734	#550	—	5	1	no	—
735	D₄×Q₈	—	5	1	no	—
736	D₄×Q₈	—	10	1	no	—
737	#548	—	10	1	no	—
738	#533	—	5	1	no	—
739	#533	—	5	1	no	—
740	#533	—	10	1	no	—
741	#533	—	10	1	no	—
742	#533	—	10	1	no	—
743	#533	C₂×D₅	1	1	yes	characteristic
744	#532	—	5	1	no	—
745	#532	—	5	1	no	—
746	#532	C₂×D₅	1	1	yes	characteristic
747	#529	—	10	1	no	—
748	#529	—	10	1	no	—
749	#529	—	10	1	no	—
750	C₄×#41	—	5	1	no	—
751	C₄×#41	—	5	1	no	—
752	C₄×#41	—	5	1	no	—
753	C₄×#41	—	5	1	no	—
754	C₄×#41	—	5	1	no	—
755	C₄×#41	—	5	1	no	—
756	C₄×#41	—	10	1	no	—
757	C₂×C₄×Q₈	—	5	1	no	—
758	C₂×C₄×Q₈	—	10	1	no	—
759	#491	—	5	1	no	—
760	#491	—	5	1	no	—
761	#491	C₂×D₅	1	1	yes	characteristic
762	#491	C₂×D₅	1	1	yes	characteristic
763	#490	—	5	1	no	—
764	#490	—	5	1	no	—
765	#490	C₂×D₅	1	1	yes	characteristic
766	#490	C₂×D₅	1	1	yes	characteristic
767	#489	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	—	5	1	no	—
771	#489	C₂×D₅	1	1	yes	characteristic
772	#489	C₂×D₅	1	1	yes	characteristic
773	#489	C₂×D₅	1	1	yes	characteristic
774	#489	C₂×D₅	1	1	yes	characteristic
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#488	—	5	1	no	—
779	#487	—	5	1	no	—
780	#487	—	5	1	no	—
781	#486	—	5	1	no	—
782	#486	—	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	#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	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#464	—	5	1	no	—
808	#464	—	5	1	no	—
809	#464	—	5	1	no	—
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#463	—	5	1	no	—
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#462	—	5	1	no	—
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#461	—	5	1	no	—
823	#461	—	5	1	no	—
824	#461	—	5	1	no	—
825	#460	—	5	1	no	—
826	#460	—	5	1	no	—
827	#460	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	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	—	5	1	no	—
836	#446	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#442	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	—	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×D₈	—	5	1	no	—
862	C₄×D₈	—	5	1	no	—
863	#427	—	5	1	no	—
864	#427	—	5	1	no	—
865	#427	—	5	1	no	—
866	C₂×C₄⋊C₈	—	5	1	no	—
867	C₂×C₄⋊C₈	—	5	1	no	—
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#416	—	5	1	no	—
870	#416	—	5	1	no	—
871	#416	—	5	1	no	—
872	#416	—	5	1	no	—
873	#416	—	5	1	no	—
874	#416	—	5	1	no	—
875	#416	C₂×D₅	1	1	yes	characteristic
876	#416	C₂×D₅	1	1	yes	characteristic
877	#416	C₂×D₅	1	1	yes	characteristic
878	#416	C₂×D₅	1	1	yes	characteristic
879	C₂×#97	—	5	1	no	—
880	C₂×#97	C₂×D₅	1	1	yes	characteristic
881	C₂×C₄×C₈	—	5	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	—	2	1	no	—
884	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
885	C₂²×D₅	—	2	1	no	—
886	C₂²×D₅	—	2	1	no	—
887	C₅×Q₈	—	2	1	no	—
888	C₅×Q₈	—	2	1	no	—
889	C₅×Q₈	—	2	1	no	—
890	C₅×Q₈	—	2	1	no	—
891	C₅×Q₈	—	4	2	no	—
892	C₅×Q₈	—	8	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	2	1	no	—
895	C₅×D₄	—	2	1	no	—
896	C₅×D₄	—	2	1	no	—
897	C₅×D₄	—	4	2	no	—
898	C₅×D₄	—	4	2	no	—
899	C₅×D₄	—	4	2	no	—
900	C₅×D₄	—	8	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	4	1	no	—
908	C₂×C₄×C₅	—	4	1	no	—
909	C₂×C₄×C₅	—	4	2	no	—
910	C₂×C₄×C₅	—	4	2	no	—
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂×#41	1	2	yes	—
917	C₂×C₄×C₅	2₋¹⁺⁴	1	2	yes	—
918	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
919	C₂²⋊D₅	—	2	4	no	—
920	C₂²⋊D₅	—	4	2	no	—
921	C₂²⋊D₅	—	4	2	no	—
922	C₂²⋊D₅	—	4	2	no	—
923	C₂²⋊D₅	—	8	1	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	2	2	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	4	1	no	—
933	C₂×Dic₅	—	4	1	no	—
934	C₂×Dic₅	—	4	1	no	—
935	C₂×Dic₅	—	4	2	no	—
936	C₂×Dic₅	—	4	2	no	—
937	C₂×Dic₅	—	8	1	no	—
938	C₂×Dic₅	—	8	1	no	—
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	D₂₀	—	2	1	no	—
948	D₂₀	—	2	1	no	—
949	D₂₀	—	2	1	no	—
950	D₂₀	C₂×#41	1	2	yes	—
951	C₄×D₅	—	2	4	no	—
952	C₄×D₅	—	4	2	no	—
953	C₄×D₅	—	4	2	no	—
954	C₄×D₅	—	4	2	no	—
955	C₄×D₅	—	4	2	no	—
956	C₄×D₅	—	4	2	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	Dic₁₀	—	2	1	no	—
962	Dic₁₀	—	2	2	no	—
963	Dic₁₀	—	2	2	no	—
964	Dic₁₀	—	2	1	no	—
965	Dic₁₀	—	2	1	no	—
966	Dic₁₀	—	4	1	no	—
967	Dic₁₀	—	4	1	no	—
968	Dic₁₀	—	4	2	no	—
969	Dic₁₀	—	4	2	no	—
970	Dic₁₀	—	8	1	no	—
971	Dic₁₀	—	8	1	no	—
972	Dic₁₀	C₂×#41	1	2	yes	—
973	C₅×C₈	—	2	1	no	—
974	C₅×C₈	—	2	1	no	—
975	C₅×C₈	—	2	1	no	—
976	C₅×C₈	—	2	1	no	—
977	#168	—	2	1	no	—
978	#168	—	2	1	no	—
979	#168	—	2	1	no	—
980	#168	—	2	1	no	—
981	C₂×#41	—	5	1	no	—
982	C₂×#41	—	5	1	no	—
983	C₂×#41	—	10	1	no	—
984	C₂×#41	C₂²×D₅	1	1	yes	characteristic
985	C₂×#41	C₂²×D₅	1	1	yes	characteristic
986	C₂²×Q₈	—	5	1	no	—
987	C₂²×Q₈	—	10	1	no	—
988	#135	—	10	4	no	—
989	#135	—	10	4	no	—
990	#135	—	10	4	no	—
991	C₂×Q₁₆	—	5	1	no	—
992	C₂×Q₁₆	—	5	1	no	—
993	C₂×Q₁₆	—	5	1	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	—	5	1	no	—
997	C₂×SD₁₆	—	5	1	no	—
998	C₂×SD₁₆	—	5	1	no	—
999	C₂×SD₁₆	—	5	1	no	—
1000	C₂×D₈	—	5	1	no	—
1001	C₂×D₈	—	5	1	no	—
1002	C₂×D₈	—	5	1	no	—
1003	C₂²×C₈	—	5	1	no	—
1004	C₂²×C₈	—	5	1	no	—
1005	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1006	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	10	1	no	—
1014	C₄⋊Q₈	—	10	1	no	—
1015	C₄⋊Q₈	—	10	1	no	—
1016	C₄⋊Q₈	—	10	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	—	10	1	no	—
1019	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1020	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1021	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1022	#127	—	5	1	no	—
1023	#127	—	5	1	no	—
1024	#127	C₂²×D₅	1	1	yes	characteristic
1025	#126	—	10	1	no	—
1026	#126	—	10	1	no	—
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#125	—	5	1	no	—
1032	#125	—	5	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	5	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	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	—	10	1	no	—
1043	#125	—	10	1	no	—
1044	#125	C₂²×D₅	1	1	yes	characteristic
1045	#125	C₂²×D₅	1	1	yes	characteristic
1046	#124	—	5	1	no	—
1047	#124	—	5	1	no	—
1048	#124	—	5	1	no	—
1049	#124	—	5	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	—	10	1	no	—
1053	#124	C₂²×D₅	1	1	yes	characteristic
1054	#124	C₂²×D₅	1	1	yes	characteristic
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	C₂²⋊Q₈	—	2	1	no	—
1062	C₂²⋊Q₈	—	2	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	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	#121	—	2	1	no	—
1083	#121	—	2	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	C₄×Q₈	—	2	1	no	—
1092	C₄×Q₈	—	2	1	no	—
1093	C₄×Q₈	—	5	1	no	—
1094	C₄×Q₈	—	5	1	no	—
1095	C₄×Q₈	—	5	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	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	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×D₄	—	2	1	no	—
1123	C₄×D₄	—	2	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	5	1	no	—
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	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	C₂²×D₅	1	1	yes	characteristic
1167	#117	C₂²×D₅	1	1	yes	characteristic
1168	C₂×C₄⋊C₄	—	5	1	no	—
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄²	—	5	1	no	—
1175	C₂×C₄²	—	5	1	no	—
1176	C₂×C₄²	—	10	1	no	—
1177	C₂×C₄²	—	10	1	no	—
1178	C₂×C₄²	—	10	1	no	—
1179	C₂×C₄²	—	10	1	no	—
1180	C₂×C₄²	—	10	1	no	—
1181	C₂×C₄²	—	10	1	no	—
1182	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	—	5	1	no	—
1193	#106	—	5	1	no	—
1194	#106	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	—	5	1	no	—
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	—	5	1	no	—
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	C₂²×D₅	1	1	yes	characteristic
1220	#103	C₂²×D₅	1	1	yes	characteristic
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#103	C₂²×D₅	1	1	yes	characteristic
1223	#103	C₂²×D₅	1	1	yes	characteristic
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#103	C₂²×D₅	1	1	yes	characteristic
1226	#103	C₂²×D₅	1	1	yes	characteristic
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	C₂²×D₅	1	1	yes	characteristic
1240	#102	C₂²×D₅	1	1	yes	characteristic
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	#102	C₂²×D₅	1	1	yes	characteristic
1243	#102	C₂²×D₅	1	1	yes	characteristic
1244	#102	C₂²×D₅	1	1	yes	characteristic
1245	#102	C₂²×D₅	1	1	yes	characteristic
1246	#102	C₂²×D₅	1	1	yes	characteristic
1247	#97	—	5	1	no	—
1248	#97	—	5	1	no	—
1249	#97	—	5	1	no	—
1250	#97	—	5	1	no	—
1251	#97	C₂²×D₅	1	1	yes	characteristic
1252	#97	C₂²×D₅	1	1	yes	characteristic
1253	#97	C₂²×D₅	1	1	yes	characteristic
1254	#97	C₂²×D₅	1	1	yes	characteristic
1255	C₄×C₈	—	5	1	no	—
1256	C₄×C₈	—	5	1	no	—
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₂²×C₅	—	2	1	no	—
1260	C₂²×C₅	—	2	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	—	4	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	—	4	1	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	—	4	1	no	—
1267	C₂²×C₅	#548	1	2	yes	—
1268	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1269	C₂×D₅	—	2	2	no	—
1270	C₂×D₅	—	4	1	no	—
1271	C₂×D₅	—	4	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	4	1	no	—
1275	C₄×C₅	—	2	1	no	—
1276	C₄×C₅	—	2	1	no	—
1277	C₄×C₅	—	2	1	no	—
1278	C₄×C₅	—	2	1	no	—
1279	C₄×C₅	—	4	1	no	—
1280	C₄×C₅	—	4	1	no	—
1281	C₄×C₅	—	4	1	no	—
1282	C₄×C₅	—	4	1	no	—
1283	C₄×C₅	—	4	1	no	—
1284	C₄×C₅	—	4	1	no	—
1285	C₄×C₅	#548	1	2	yes	—
1286	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1287	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1288	Dic₅	—	2	1	no	—
1289	Dic₅	—	2	1	no	—
1290	Dic₅	—	2	1	no	—
1291	Dic₅	—	2	1	no	—
1292	Dic₅	—	2	2	no	—
1293	Dic₅	—	2	1	no	—
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	4	1	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	#575	1	2	yes	—
1302	#41	—	2	2	no	—
1303	#41	—	2	2	no	—
1304	#41	—	2	2	no	—
1305	#41	—	2	2	no	—
1306	#41	—	5	4	no	—
1307	#41	—	10	2	no	—
1308	#41	—	10	2	no	—
1309	#41	—	10	2	no	—
1310	#41	—	20	4	no	—
1311	C₂×Q₈	—	2	1	no	—
1312	C₂×Q₈	—	2	1	no	—
1313	C₂×Q₈	—	5	1	no	—
1314	C₂×Q₈	—	5	1	no	—
1315	C₂×Q₈	—	5	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	5	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	20	2	no	—
1324	C₂×Q₈	—	20	4	no	—
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	5	1	no	—
1332	C₂×D₄	—	5	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1340	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	5	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	10	1	no	—
1348	C₂²×C₄	—	10	1	no	—
1349	C₂²×C₄	—	10	1	no	—
1350	C₂²×C₄	—	10	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	—	10	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1362	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1363	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1364	Q₁₆	—	10	2	no	—
1365	Q₁₆	—	10	2	no	—
1366	Q₁₆	—	10	2	no	—
1367	SD₁₆	—	10	2	no	—
1368	SD₁₆	—	10	2	no	—
1369	SD₁₆	—	10	2	no	—
1370	SD₁₆	—	10	2	no	—
1371	SD₁₆	—	10	2	no	—
1372	SD₁₆	—	10	2	no	—
1373	D₈	—	10	2	no	—
1374	D₈	—	10	2	no	—
1375	D₈	—	10	2	no	—
1376	C₂×C₈	—	2	2	no	—
1377	C₂×C₈	—	2	2	no	—
1378	C₂×C₈	—	5	1	no	—
1379	C₂×C₈	—	5	1	no	—
1380	C₂×C₈	—	5	1	no	—
1381	C₂×C₈	—	5	1	no	—
1382	C₂×C₈	—	10	2	no	—
1383	C₂×C₈	—	10	2	no	—
1384	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1385	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1387	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	1	no	—
1398	C₄⋊C₄	—	5	1	no	—
1399	C₄⋊C₄	—	5	1	no	—
1400	C₄⋊C₄	—	5	1	no	—
1401	C₄⋊C₄	—	5	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	5	1	no	—
1406	C₄⋊C₄	—	5	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	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	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1441	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1442	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1443	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₄²	—	2	1	no	—
1473	C₄²	—	2	1	no	—
1474	C₄²	—	5	1	no	—
1475	C₄²	—	5	1	no	—
1476	C₄²	—	5	1	no	—
1477	C₄²	—	5	1	no	—
1478	C₄²	—	5	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	5	1	no	—
1481	C₄²	—	5	1	no	—
1482	C₄²	—	10	1	no	—
1483	C₄²	—	10	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	—	10	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	D₄×D₅	1	1	yes	characteristic
1497	C₄²	D₄×D₅	1	1	yes	characteristic
1498	C₄²	C₂³×D₅	1	1	yes	characteristic
1499	C₄²	C₂³×D₅	1	1	yes	characteristic
1500	C₂×C₅	—	2	2	no	—
1501	C₂×C₅	—	8	1	no	—
1502	C₂×C₅	—	8	1	no	—
1503	C₂×C₅	C₂×#548	1	1	yes	characteristic
1504	C₂×C₅	C₂×#575	1	1	yes	characteristic
1505	C₂×C₅	#3584	1	1	yes	characteristic
1506	D₅	—	4	2	no	—
1507	D₅	—	8	1	no	—
1508	C₂³	—	2	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	10	1	no	—
1511	C₂³	—	10	1	no	—
1512	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	4	2	no	—
1518	Q₈	—	5	2	no	—
1519	Q₈	—	8	1	no	—
1520	Q₈	—	10	2	no	—
1521	Q₈	—	10	2	no	—
1522	Q₈	—	10	1	no	—
1523	Q₈	—	10	1	no	—
1524	Q₈	—	10	1	no	—
1525	Q₈	—	20	1	no	—
1526	Q₈	—	20	1	no	—
1527	Q₈	—	20	2	no	—
1528	Q₈	—	20	2	no	—
1529	Q₈	—	40	1	no	—
1530	Q₈	—	40	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	2	1	no	—
1534	D₄	—	2	1	no	—
1535	D₄	—	4	2	no	—
1536	D₄	—	4	2	no	—
1537	D₄	—	4	2	no	—
1538	D₄	—	5	2	no	—
1539	D₄	—	8	1	no	—
1540	D₄	—	10	4	no	—
1541	D₄	—	10	1	no	—
1542	D₄	—	10	1	no	—
1543	D₄	—	10	1	no	—
1544	D₄	—	20	2	no	—
1545	D₄	—	20	2	no	—
1546	D₄	—	20	2	no	—
1547	D₄	—	40	1	no	—
1548	D₄	—	40	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	4	1	no	—
1556	C₂×C₄	—	4	1	no	—
1557	C₂×C₄	—	4	2	no	—
1558	C₂×C₄	—	4	2	no	—
1559	C₂×C₄	—	5	1	no	—
1560	C₂×C₄	—	5	1	no	—
1561	C₂×C₄	—	5	1	no	—
1562	C₂×C₄	—	5	1	no	—
1563	C₂×C₄	—	5	1	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	1	no	—
1566	C₂×C₄	—	5	1	no	—
1567	C₂×C₄	—	10	2	no	—
1568	C₂×C₄	—	10	1	no	—
1569	C₂×C₄	—	10	4	no	—
1570	C₂×C₄	—	10	1	no	—
1571	C₂×C₄	—	10	1	no	—
1572	C₂×C₄	—	10	1	no	—
1573	C₂×C₄	—	10	1	no	—
1574	C₂×C₄	—	10	1	no	—
1575	C₂×C₄	—	20	2	no	—
1576	C₂×C₄	—	20	2	no	—
1577	C₂×C₄	—	20	2	no	—
1578	C₂×C₄	—	20	2	no	—
1579	C₂×C₄	—	20	2	no	—
1580	C₂×C₄	—	20	1	no	—
1581	C₂×C₄	—	20	1	no	—
1582	C₂×C₄	—	20	1	no	—
1583	C₂×C₄	—	20	2	no	—
1584	C₂×C₄	—	20	2	no	—
1585	C₂×C₄	—	40	1	no	—
1586	C₂×C₄	—	40	1	no	—
1587	C₂×C₄	—	40	1	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1592	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1593	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1594	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1596	C₂×C₄	D₅×#41	1	2	yes	—
1597	C₂×C₄	#4150	1	2	yes	—
1598	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	10	1	no	—
1604	C₈	—	10	1	no	—
1605	C₈	—	10	1	no	—
1606	C₈	—	10	1	no	—
1607	C₅	#61316	1	1	yes	characteristic, complemented, Sylow
1608	C₂²	—	2	1	no	—
1609	C₂²	—	2	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	10	2	no	—
1617	C₂²	—	20	1	no	—
1618	C₂²	—	20	1	no	—
1619	C₂²	—	20	1	no	—
1620	C₂²	—	20	1	no	—
1621	C₂²	—	20	1	no	—
1622	C₂²	#66011	1	2	yes	—
1623	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1624	C₄	—	2	1	no	—
1625	C₄	—	2	1	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	4	1	no	—
1629	C₄	—	4	1	no	—
1630	C₄	—	4	1	no	—
1631	C₄	—	4	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	5	2	no	—
1635	C₄	—	10	2	no	—
1636	C₄	—	10	1	no	—
1637	C₄	—	10	1	no	—
1638	C₄	—	10	1	no	—
1639	C₄	—	10	1	no	—
1640	C₄	—	10	1	no	—
1641	C₄	—	10	1	no	—
1642	C₄	—	10	1	no	—
1643	C₄	—	20	1	no	—
1644	C₄	—	20	1	no	—
1645	C₄	—	20	1	no	—
1646	C₄	—	20	1	no	—
1647	C₄	—	20	1	no	—
1648	C₄	#66011	1	2	yes	—
1649	C₄	C₂×D₅×#41	1	1	yes	characteristic
1650	C₄	C₂×#4150	1	1	yes	characteristic
1651	C₂	—	2	2	no	—
1652	C₂	—	8	1	no	—
1653	C₂	—	8	1	no	—
1654	C₂	—	20	2	no	—
1655	C₂	—	40	1	no	—
1656	C₂	C₂×#66011	1	1	yes	characteristic
1657	C₂	D₅×#575	1	1	yes	characteristic
1658	C₂	#10619100	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3135	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3135	D₅
hypocenter	C₅	#61316
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄² ◁ #3135

Complements

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

N	H ≅ G/N	type
1. #10618178	C₂	semidirect
2. #10618121	C₂	semidirect
3. C₅×#3135	C₂	semidirect
4. #10615080	C₂	semidirect
5. #10615027	C₂	semidirect
6. #10613466	C₂	semidirect
7. #10613465	C₂	semidirect
8. #10613464	C₂	semidirect
9. #10613463	C₂	semidirect
10. #10613442	C₂	semidirect
11. #10613441	C₂	semidirect
12. #10613440	C₂	semidirect
13. #10613439	C₂	semidirect
14. #10613408	C₂	semidirect
15. #10613407	C₂	semidirect
16. #10613406	C₂	semidirect
17. #10613405	C₂	semidirect
18. #10613404	C₂	semidirect
19. #10613403	C₂	semidirect
20. #10613402	C₂	semidirect
21. #10613401	C₂	semidirect
22. #10610592	C₂	semidirect
23. #10610592	C₂	semidirect
24. #10610557	C₂	semidirect
25. #10610556	C₂	semidirect
26. #10610553	C₂	semidirect
27. #10610553	C₂	semidirect
28. #10610550	C₂	semidirect
29. #10610549	C₂	semidirect
30. #10610225	C₂	semidirect
31. C₂×#64990	C₂	semidirect
501. #3135	D₅	semidirect
551. #709	#41	semidirect
1607. C₅	#61316	semidirect

Maximal subgroups

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

subgroup	index
#10618178	2
#10618121	2
C₅×#3135	2
#10615080	2
#10615027	2
#10613466	2
#10613465	2
#10613464	2
#10613463	2
#10613442	2
#10613441	2
#10613440	2
#10613439	2
#10613408	2
#10613407	2
#10613406	2
#10613405	2
#10613404	2
#10613403	2
#10613402	2
#10613401	2
#10610592	2
#10610557	2
#10610556	2
#10610553	2
#10610550	2
#10610549	2
#10610225	2
C₂×#64990	2
#61316	5