Subgroups — #12994858

Order 1280.

1738 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618733	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618528	C₂	1	1	yes	maximal, characteristic
3	C₅×#3296	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615321	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615225	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613380	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613365	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613167	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613149	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613095	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613088	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612896	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612888	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612483	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612478	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612381	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612373	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612311	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612307	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611979	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611944	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611890	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611863	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611386	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611144	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611136	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610580	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610553	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610490	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65048	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#552	C₂²	1	1	yes	characteristic
33	C₅×#546	C₂²	1	1	yes	characteristic
34	#41×Dic₅	C₂²	1	1	yes	characteristic
35	#66158	C₂²	1	1	yes	characteristic
36	#66140	C₂²	1	1	yes	characteristic
37	C₂×D₄×Dic₅	C₂²	1	1	yes	characteristic
38	#66036	—	2	1	no	—
39	#66035	—	2	1	no	—
40	#66030	—	2	1	no	—
41	#66022	C₂²	1	1	yes	characteristic, complemented
42	#66019	—	2	1	no	—
43	#66019	C₂²	1	1	yes	characteristic, complemented
44	#66014	C₂²	1	1	yes	characteristic
45	#66005	C₂²	1	1	yes	characteristic
46	#65984	—	2	1	no	—
47	#65984	—	2	1	no	—
48	#65983	—	2	1	no	—
49	#65982	—	2	1	no	—
50	#65976	C₂²	1	1	yes	characteristic
51	#65976	C₂²	1	1	yes	characteristic
52	#65975	C₂²	1	1	yes	characteristic, complemented
53	#65956	C₂²	1	1	yes	characteristic
54	#65956	C₂²	1	1	yes	characteristic
55	#65956	C₂²	1	1	yes	characteristic, complemented
56	#65950	C₂²	1	1	yes	characteristic
57	#65935	—	2	1	no	—
58	#65934	—	2	1	no	—
59	#65934	C₂²	1	1	yes	characteristic
60	#65921	—	2	1	no	—
61	#65920	—	2	1	no	—
62	#65912	C₂²	1	1	yes	characteristic, complemented
63	#65903	C₂²	1	1	yes	characteristic, complemented
64	#65875	C₂²	1	1	yes	characteristic
65	#65875	C₂²	1	1	yes	characteristic
66	#65873	C₂²	1	1	yes	characteristic
67	C₄×#711	C₂²	1	1	yes	characteristic
68	C₄×#711	C₂²	1	1	yes	characteristic
69	#65867	C₂²	1	1	yes	characteristic, complemented
70	#65865	—	2	1	no	—
71	#65851	C₂²	1	1	yes	characteristic, complemented
72	#65850	—	2	1	no	—
73	#65847	C₂²	1	1	yes	characteristic
74	C₂×#4034	C₂²	1	1	yes	characteristic
75	#65829	—	2	1	no	—
76	C₂×#4023	—	2	1	no	—
77	C₅×#488	C₂²	1	1	yes	characteristic
78	C₅×#483	C₂²	1	1	yes	characteristic
79	C₅×#482	C₂²	1	1	yes	characteristic
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#467	C₂²	1	1	yes	characteristic
82	C₅×#465	C₂²	1	1	yes	characteristic
83	C₅×#464	C₂²	1	1	yes	characteristic
84	C₅×#452	C₂²	1	1	yes	characteristic
85	C₅×#450	C₂²	1	1	yes	characteristic
86	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
87	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
88	C₅×#416	C₂²	1	1	yes	characteristic
89	C₂×C₅×#102	C₂²	1	1	yes	characteristic
90	#65528	C₂²	1	1	yes	characteristic
91	#65522	C₂²	1	1	yes	characteristic
92	#65507	C₂²	1	1	yes	characteristic
93	C₂×#3964	C₂²	1	1	yes	characteristic
94	#65477	C₂²	1	1	yes	characteristic, complemented
95	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	#65471	C₂²	1	1	yes	characteristic, complemented
97	#65471	C₂²	1	1	yes	characteristic, complemented
98	#65462	C₂²	1	1	yes	characteristic
99	#65460	C₂²	1	1	yes	characteristic
100	#65455	C₂²	1	1	yes	characteristic
101	#65451	C₂²	1	1	yes	characteristic
102	#65451	C₂²	1	1	yes	characteristic
103	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
104	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
106	#65405	C₂²	1	1	yes	characteristic
107	#65405	C₂²	1	1	yes	characteristic, complemented
108	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
109	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
110	#65395	C₂²	1	1	yes	characteristic, complemented
111	C₂×#3950	C₂²	1	1	yes	characteristic
112	C₂×#3946	C₂²	1	1	yes	characteristic
113	C₂×#3946	C₂²	1	1	yes	characteristic, complemented
114	#65353	C₂²	1	1	yes	characteristic, complemented
115	#65352	C₂²	1	1	yes	characteristic, complemented
116	#65345	C₂²	1	1	yes	characteristic
117	#65343	C₂²	1	1	yes	characteristic
118	#65340	C₂²	1	1	yes	characteristic
119	#65340	C₂²	1	1	yes	characteristic
120	#65340	C₂²	1	1	yes	characteristic, complemented
121	#65334	C₂²	1	1	yes	characteristic, complemented
122	#65332	C₂²	1	1	yes	characteristic
123	#65332	C₂²	1	1	yes	characteristic
124	#65330	C₂²	1	1	yes	characteristic
125	#65324	C₂²	1	1	yes	characteristic
126	C₄×#689	C₂²	1	1	yes	characteristic, complemented
127	#65311	C₂²	1	1	yes	characteristic, complemented
128	C₄×#687	C₂²	1	1	yes	characteristic
129	D₄×#168	C₂²	1	1	yes	characteristic
130	#65298	C₂²	1	1	yes	characteristic
131	#65287	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	#65260	C₂²	1	1	yes	characteristic
134	C₂×#3939	C₂²	1	1	yes	characteristic
135	#65169	C₂²	1	1	yes	characteristic, complemented
136	#65167	C₂²	1	1	yes	characteristic, complemented
137	#65164	C₂²	1	1	yes	characteristic, complemented
138	#65164	C₂²	1	1	yes	characteristic, complemented
139	#65156	C₂²	1	1	yes	characteristic, complemented
140	#65149	C₂²	1	1	yes	characteristic, complemented
141	#65147	C₂²	1	1	yes	characteristic, complemented
142	#65146	C₂²	1	1	yes	characteristic, complemented
143	#65144	C₂²	1	1	yes	characteristic, complemented
144	#65144	C₂²	1	1	yes	characteristic, complemented
145	#65143	C₂²	1	1	yes	characteristic, complemented
146	#65143	C₂²	1	1	yes	characteristic, complemented
147	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
148	#65119	C₂²	1	1	yes	characteristic, complemented
149	#65118	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65104	C₂²	1	1	yes	characteristic, complemented
152	#65103	C₂²	1	1	yes	characteristic, complemented
153	#65103	C₂²	1	1	yes	characteristic, complemented
154	#65102	C₂²	1	1	yes	characteristic, complemented
155	#65088	C₂²	1	1	yes	characteristic, complemented
156	#65085	C₂²	1	1	yes	characteristic, complemented
157	#65085	C₂²	1	1	yes	characteristic, complemented
158	#65083	C₂²	1	1	yes	characteristic, complemented
159	#65083	C₂²	1	1	yes	characteristic, complemented
160	#65082	C₂²	1	1	yes	characteristic, complemented
161	#65082	C₂²	1	1	yes	characteristic, complemented
162	#65081	C₂²	1	1	yes	characteristic, complemented
163	#65081	C₂²	1	1	yes	characteristic, complemented
164	#65080	C₂²	1	1	yes	characteristic, complemented
165	#65080	C₂²	1	1	yes	characteristic, complemented
166	#65079	C₂²	1	1	yes	characteristic, complemented
167	#65073	C₂²	1	1	yes	characteristic
168	#65072	C₂²	1	1	yes	characteristic
169	#65068	C₂²	1	1	yes	characteristic
170	#65067	C₂²	1	1	yes	characteristic
171	#65061	C₂²	1	1	yes	characteristic
172	#65061	C₂²	1	1	yes	characteristic
173	#65057	C₂²	1	1	yes	characteristic
174	#65057	C₂²	1	1	yes	characteristic
175	#65056	C₂²	1	1	yes	characteristic
176	#65055	C₂²	1	1	yes	characteristic
177	#65052	C₂²	1	1	yes	characteristic
178	#65050	C₂²	1	1	yes	characteristic
179	#65050	C₂²	1	1	yes	characteristic
180	#65048	C₂²	1	1	yes	characteristic
181	#65048	C₂²	1	1	yes	characteristic
182	#65048	C₂²	1	1	yes	characteristic
183	#65048	C₂²	1	1	yes	characteristic
184	#65048	C₂²	1	1	yes	characteristic
185	#65048	C₂²	1	1	yes	characteristic
186	#65048	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65047	C₂²	1	1	yes	characteristic
189	#65047	C₂²	1	1	yes	characteristic
190	#65047	C₂²	1	1	yes	characteristic
191	#65014	C₂²	1	1	yes	characteristic
192	#65014	C₂²	1	1	yes	characteristic, complemented
193	#65012	C₂²	1	1	yes	characteristic, complemented
194	#65012	C₂²	1	1	yes	characteristic, complemented
195	#65010	C₂²	1	1	yes	characteristic
196	#65010	C₂²	1	1	yes	characteristic
197	#65007	C₂²	1	1	yes	characteristic
198	#65007	C₂²	1	1	yes	characteristic, complemented
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic, complemented
200	#64974	C₂²	1	1	yes	characteristic, complemented
201	#64972	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#62097	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
206	C₂³×Dic₅	—	2	1	no	—
207	C₂×#711	D₄	1	1	yes	characteristic
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₀	—	2	1	no	—
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×#126	—	2	1	no	—
216	C₅×#125	—	2	1	no	—
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#124	C₂³	1	1	yes	characteristic
219	C₅×#123	—	2	1	no	—
220	C₅×#123	—	2	1	no	—
221	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×#121	—	2	1	no	—
225	C₅×#121	C₂³	1	1	yes	characteristic
226	C₅×#120	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₅×#117	—	2	1	no	—
231	C₅×#117	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
234	#4099	—	2	1	no	—
235	C₂×C₂²⋊Dic₅	—	2	1	no	—
236	C₂×C₂²⋊Dic₅	—	2	1	no	—
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	#4090	C₂³	1	1	yes	characteristic
244	#4090	C₂³	1	1	yes	characteristic
245	C₂×#689	C₂³	1	1	yes	characteristic
246	C₂×#689	C₂³	1	1	yes	characteristic
247	#4085	—	2	1	no	—
248	#4085	—	2	1	no	—
249	#4085	—	2	1	no	—
250	#4084	C₂³	1	1	yes	characteristic
251	#4082	—	2	1	no	—
252	#4082	C₂³	1	1	yes	characteristic
253	#4081	—	2	1	no	—
254	#4081	—	2	1	no	—
255	#4081	—	2	1	no	—
256	#4081	—	2	1	no	—
257	#4081	—	2	1	no	—
258	D₄×Dic₅	—	2	1	no	—
259	D₄×Dic₅	—	2	1	no	—
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	—	2	1	no	—
263	D₄×Dic₅	D₄	1	1	yes	characteristic
264	D₄×Dic₅	C₂³	1	1	yes	characteristic
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	D₄×Dic₅	C₂³	1	1	yes	characteristic
267	D₄×Dic₅	C₂³	1	1	yes	characteristic
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×#687	C₂³	1	1	yes	characteristic
270	C₂×#687	C₂³	1	1	yes	characteristic
271	#4075	—	2	1	no	—
272	#4075	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
275	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
276	#4072	—	2	1	no	—
277	#4072	—	2	1	no	—
278	#4072	C₂³	1	1	yes	characteristic
279	#4072	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
282	#4070	—	2	1	no	—
283	#4070	C₂³	1	1	yes	characteristic
284	#4070	C₂³	1	1	yes	characteristic
285	#4070	C₂³	1	1	yes	characteristic
286	#4070	C₂³	1	1	yes	characteristic
287	C₂×#683	—	2	1	no	—
288	C₂×#683	—	2	1	no	—
289	C₂×#683	—	2	1	no	—
290	C₂×C₄×Dic₅	—	2	1	no	—
291	C₂×C₄×Dic₅	—	2	1	no	—
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂²×#168	C₂³	1	1	yes	characteristic
295	C₂²×#168	C₂³	1	1	yes	characteristic
296	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4043	C₂³	1	1	yes	characteristic
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4038	D₄	1	1	yes	characteristic
308	#4038	C₂³	1	1	yes	characteristic
309	#4038	C₂³	1	1	yes	characteristic
310	#4038	C₂³	1	1	yes	characteristic
311	#4036	—	2	1	no	—
312	#4036	—	2	1	no	—
313	#4036	—	2	1	no	—
314	#4036	C₂³	1	1	yes	characteristic
315	#4036	C₂³	1	1	yes	characteristic
316	#4036	C₂³	1	1	yes	characteristic
317	#4035	—	2	1	no	—
318	#4035	—	2	1	no	—
319	#4035	—	2	1	no	—
320	#4035	—	2	1	no	—
321	#4035	—	2	1	no	—
322	#4035	—	2	1	no	—
323	#4035	—	2	1	no	—
324	#4035	—	2	1	no	—
325	#4035	—	2	1	no	—
326	#4034	—	2	1	no	—
327	#4034	—	2	1	no	—
328	#4034	—	2	1	no	—
329	#4034	—	2	1	no	—
330	#4034	C₂³	1	1	yes	characteristic
331	#4034	C₂³	1	1	yes	characteristic
332	#4034	C₂³	1	1	yes	characteristic
333	#4034	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	—	2	1	no	—
343	#4033	D₄	1	1	yes	characteristic
344	#4033	C₂³	1	1	yes	characteristic
345	#4033	C₂³	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4032	—	2	1	no	—
348	#4032	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4029	—	2	1	no	—
353	#4027	—	2	1	no	—
354	#4027	—	2	1	no	—
355	#4027	D₄	1	1	yes	characteristic
356	#4027	D₄	1	1	yes	characteristic
357	#4025	—	2	1	no	—
358	#4025	—	2	1	no	—
359	#4025	—	2	1	no	—
360	#4025	—	2	1	no	—
361	#4025	—	2	1	no	—
362	#4025	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4024	—	2	1	no	—
366	#4024	—	2	1	no	—
367	#4024	—	2	1	no	—
368	#4024	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4024	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4023	—	2	1	no	—
374	#4023	—	2	1	no	—
375	#4023	—	2	1	no	—
376	#4023	—	2	1	no	—
377	#4023	—	2	1	no	—
378	#4023	—	2	1	no	—
379	#4023	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4023	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4023	—	2	1	no	—
384	#4023	—	2	1	no	—
385	#4023	D₄	1	1	yes	characteristic
386	#4023	D₄	1	1	yes	characteristic
387	#4022	—	2	1	no	—
388	#4018	—	2	1	no	—
389	C₄²×D₅	C₂³	1	1	yes	characteristic
390	#4016	—	2	1	no	—
391	#4016	C₂³	1	1	yes	characteristic
392	#4016	C₂³	1	1	yes	characteristic
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×#106	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
405	C₅×#103	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×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
418	#3967	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	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	#3952	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3950	C₂³	1	1	yes	characteristic
435	#3950	C₂³	1	1	yes	characteristic
436	#3950	C₂³	1	1	yes	characteristic
437	#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	#3946	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#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	C₈×Dic₅	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	#3942	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	#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	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3509	—	5	1	no	—
480	#3475	—	5	1	no	—
481	#3381	—	5	1	no	—
482	#3381	—	5	1	no	—
483	#3364	—	5	1	no	—
484	#3364	—	5	1	no	—
485	#3340	—	5	1	no	—
486	#3340	—	5	1	no	—
487	#3336	—	5	1	no	—
488	#3336	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3302	—	5	1	no	—
492	#3302	—	5	1	no	—
493	#3296	—	5	1	no	—
494	#3296	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3296	D₅	1	1	yes	characteristic, complemented
497	#3249	—	5	1	no	—
498	#3248	—	5	1	no	—
499	#3248	—	5	1	no	—
500	#3233	—	5	1	no	—
501	#3233	—	5	1	no	—
502	#3229	—	5	1	no	—
503	#3107	—	5	1	no	—
504	#3107	—	5	1	no	—
505	#3101	—	5	1	no	—
506	#3076	—	5	1	no	—
507	#3076	—	5	1	no	—
508	C₂×#474	—	5	1	no	—
509	#2988	—	5	1	no	—
510	C₂⁴×C₅	—	2	1	no	—
511	C₅×#41	—	2	2	no	—
512	C₅×#41	—	4	1	no	—
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×D₄	—	2	2	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	—	4	1	no	—
520	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	4	4	no	—
541	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
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	#711	—	2	4	no	—
546	#711	—	2	2	no	—
547	#711	—	4	1	no	—
548	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
549	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
550	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₁₀	—	2	1	no	—
552	C₂×Dic₁₀	—	2	1	no	—
553	C₂×Dic₁₀	—	2	1	no	—
554	C₂×Dic₁₀	—	2	1	no	—
555	C₂×Dic₁₀	—	2	1	no	—
556	C₂×Dic₁₀	—	2	1	no	—
557	C₂×Dic₁₀	—	4	4	no	—
558	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
559	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
560	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
561	C₅×Q₁₆	—	4	1	no	—
562	C₅×SD₁₆	—	2	2	no	—
563	C₅×SD₁₆	—	4	1	no	—
564	C₂×C₅×C₈	—	4	1	no	—
565	C₂×C₅×C₈	—	4	1	no	—
566	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₅×C₄⋊C₄	—	2	1	no	—
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
578	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₅×C₂²⋊C₄	—	2	1	no	—
583	C₅×C₂²⋊C₄	—	2	1	no	—
584	C₅×C₂²⋊C₄	—	2	1	no	—
585	C₅×C₂²⋊C₄	—	2	1	no	—
586	C₅×C₂²⋊C₄	—	2	1	no	—
587	C₅×C₂²⋊C₄	—	2	1	no	—
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₄²×C₅	—	2	1	no	—
593	C₄²×C₅	—	2	1	no	—
594	C₄²×C₅	C₂⁴	1	1	yes	characteristic
595	C₂²⋊Dic₅	—	2	1	no	—
596	C₂²⋊Dic₅	—	2	1	no	—
597	C₂²⋊Dic₅	—	2	1	no	—
598	C₂²⋊Dic₅	—	2	1	no	—
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
601	C₂²⋊Dic₅	—	2	1	no	—
602	C₂²⋊Dic₅	—	2	1	no	—
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
610	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
611	#689	—	4	1	no	—
612	#689	—	4	1	no	—
613	#687	—	2	2	no	—
614	#687	—	4	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	C₂×D₄	1	1	yes	characteristic
622	#685	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
633	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
634	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
635	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
636	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
637	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
638	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
640	#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	C₄×Dic₅	—	2	1	no	—
673	C₄×Dic₅	—	2	1	no	—
674	C₄×Dic₅	—	2	1	no	—
675	C₄×Dic₅	—	2	1	no	—
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
695	C₂×#168	—	4	1	no	—
696	C₂×#168	—	4	1	no	—
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	Dic₂₀	—	4	1	no	—
702	C₈×D₅	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	#557	—	5	1	no	—
705	#557	—	5	1	no	—
706	#557	—	10	1	no	—
707	#556	—	5	1	no	—
708	#556	—	5	1	no	—
709	#556	—	5	1	no	—
710	#556	—	10	1	no	—
711	#555	—	5	1	no	—
712	#554	—	5	1	no	—
713	#553	—	10	1	no	—
714	#552	—	5	1	no	—
715	#552	—	5	1	no	—
716	#552	—	5	1	no	—
717	#552	—	5	1	no	—
718	#552	—	5	1	no	—
719	#552	—	10	1	no	—
720	#552	—	10	1	no	—
721	#552	—	10	1	no	—
722	#552	C₂×D₅	1	1	yes	characteristic
723	#551	—	10	1	no	—
724	#551	—	10	1	no	—
725	#547	—	5	1	no	—
726	#546	—	5	1	no	—
727	#546	C₂×D₅	1	1	yes	characteristic
728	#541	—	10	1	no	—
729	#541	—	10	1	no	—
730	#536	—	10	1	no	—
731	#533	—	5	1	no	—
732	#533	—	5	1	no	—
733	#533	—	5	1	no	—
734	#533	—	5	1	no	—
735	#533	—	5	1	no	—
736	#533	—	5	1	no	—
737	C₂×C₄⋊Q₈	—	5	1	no	—
738	#529	—	5	1	no	—
739	#529	—	5	1	no	—
740	#529	—	10	1	no	—
741	#529	—	10	1	no	—
742	#525	—	10	1	no	—
743	#519	—	10	1	no	—
744	C₄×#41	—	5	1	no	—
745	C₄×#41	—	5	1	no	—
746	C₄×#41	—	5	1	no	—
747	C₂×C₄×D₄	—	5	1	no	—
748	C₂×#117	—	10	1	no	—
749	#499	—	5	1	no	—
750	#499	—	5	1	no	—
751	#499	—	5	1	no	—
752	#499	—	5	1	no	—
753	#498	—	5	1	no	—
754	#498	—	5	1	no	—
755	#488	—	5	1	no	—
756	#488	—	5	1	no	—
757	#488	—	5	1	no	—
758	#488	C₂×D₅	1	1	yes	characteristic
759	#487	—	5	1	no	—
760	#487	—	5	1	no	—
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#485	—	5	1	no	—
769	#483	—	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	C₂×D₅	1	1	yes	characteristic
775	#482	—	5	1	no	—
776	#482	—	5	1	no	—
777	#482	—	5	1	no	—
778	#482	C₂×D₅	1	1	yes	characteristic
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	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	C₂×D₅	1	1	yes	characteristic
791	#477	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	—	5	1	no	—
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#475	—	5	1	no	—
798	#475	—	5	1	no	—
799	#475	—	5	1	no	—
800	#475	—	5	1	no	—
801	#474	—	5	1	no	—
802	#474	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#467	—	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	C₂×D₅	1	1	yes	characteristic
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	C₂×D₅	1	1	yes	characteristic
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	—	5	1	no	—
824	#464	C₂×D₅	1	1	yes	characteristic
825	#462	—	5	1	no	—
826	#462	—	5	1	no	—
827	#462	—	5	1	no	—
828	#462	—	5	1	no	—
829	#461	—	5	1	no	—
830	#461	—	5	1	no	—
831	#452	—	5	1	no	—
832	#452	—	5	1	no	—
833	#452	—	5	1	no	—
834	#452	C₂×D₅	1	1	yes	characteristic
835	#450	—	5	1	no	—
836	#450	C₂×D₅	1	1	yes	characteristic
837	C₈×Q₈	—	5	1	no	—
838	C₈×Q₈	—	5	1	no	—
839	C₄×Q₁₆	—	5	1	no	—
840	C₄×Q₁₆	—	5	1	no	—
841	C₄×Q₁₆	—	5	1	no	—
842	C₄×Q₁₆	—	5	1	no	—
843	C₄×SD₁₆	—	5	1	no	—
844	C₄×SD₁₆	—	5	1	no	—
845	C₄×SD₁₆	—	5	1	no	—
846	C₄×SD₁₆	—	5	1	no	—
847	C₄×SD₁₆	—	5	1	no	—
848	C₄×SD₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
850	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
851	C₈×D₄	—	5	1	no	—
852	C₈×D₄	—	5	1	no	—
853	C₈×D₄	—	5	1	no	—
854	C₈×D₄	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	C₂×D₅	1	1	yes	characteristic
857	#431	—	5	1	no	—
858	#431	—	5	1	no	—
859	#431	—	5	1	no	—
860	#427	—	5	1	no	—
861	#427	—	5	1	no	—
862	#427	—	5	1	no	—
863	#427	—	5	1	no	—
864	C₂×#107	—	5	1	no	—
865	C₂×#107	—	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	C₂×D₅	1	1	yes	characteristic
873	C₂×#102	—	5	1	no	—
874	C₂×#102	C₂×D₅	1	1	yes	characteristic
875	C₂³×C₅	—	2	1	no	—
876	C₂³×C₅	—	2	1	no	—
877	C₂³×C₅	—	4	2	no	—
878	C₂³×C₅	—	4	2	no	—
879	C₂³×C₅	—	8	1	no	—
880	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
881	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
882	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
883	C₅×Q₈	—	2	1	no	—
884	C₅×Q₈	—	2	1	no	—
885	C₅×Q₈	—	2	1	no	—
886	C₅×Q₈	—	2	1	no	—
887	C₅×D₄	—	2	2	no	—
888	C₅×D₄	—	2	1	no	—
889	C₅×D₄	—	2	1	no	—
890	C₅×D₄	—	2	1	no	—
891	C₅×D₄	—	4	2	no	—
892	C₅×D₄	—	4	2	no	—
893	C₅×D₄	—	8	1	no	—
894	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
895	C₂×C₄×C₅	—	2	1	no	—
896	C₂×C₄×C₅	—	2	1	no	—
897	C₂×C₄×C₅	—	2	1	no	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	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	—	4	2	no	—
906	C₂×C₄×C₅	—	4	2	no	—
907	C₂×C₄×C₅	—	8	1	no	—
908	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
913	C₂²⋊D₅	—	2	2	no	—
914	C₂²⋊D₅	—	2	2	no	—
915	C₂²⋊D₅	—	4	2	no	—
916	C₂²⋊D₅	—	8	1	no	—
917	C₂×Dic₅	—	2	2	no	—
918	C₂×Dic₅	—	2	1	no	—
919	C₂×Dic₅	—	2	1	no	—
920	C₂×Dic₅	—	2	1	no	—
921	C₂×Dic₅	—	2	1	no	—
922	C₂×Dic₅	—	2	1	no	—
923	C₂×Dic₅	—	2	1	no	—
924	C₂×Dic₅	—	2	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	4	1	no	—
927	C₂×Dic₅	—	4	1	no	—
928	C₂×Dic₅	—	4	2	no	—
929	C₂×Dic₅	—	4	2	no	—
930	C₂×Dic₅	—	4	2	no	—
931	C₂×Dic₅	—	4	2	no	—
932	C₂×Dic₅	—	4	2	no	—
933	C₂×Dic₅	—	4	2	no	—
934	C₂×Dic₅	—	4	2	no	—
935	C₂×Dic₅	—	8	1	no	—
936	C₂×Dic₅	#135	1	4	yes	—
937	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	C₄×D₅	—	2	1	no	—
945	C₄×D₅	—	2	1	no	—
946	C₄×D₅	—	2	2	no	—
947	C₄×D₅	—	4	1	no	—
948	Dic₁₀	—	2	2	no	—
949	Dic₁₀	—	2	1	no	—
950	Dic₁₀	—	2	1	no	—
951	Dic₁₀	—	2	1	no	—
952	Dic₁₀	—	2	1	no	—
953	Dic₁₀	—	4	2	no	—
954	Dic₁₀	—	4	2	no	—
955	Dic₁₀	—	4	2	no	—
956	Dic₁₀	—	4	2	no	—
957	Dic₁₀	—	4	2	no	—
958	Dic₁₀	—	8	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	C₅×C₈	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	#168	—	2	1	no	—
967	C₂×#41	—	5	1	no	—
968	C₂×#41	—	5	1	no	—
969	C₂×#41	C₂²×D₅	1	1	yes	characteristic
970	C₂²×Q₈	—	10	1	no	—
971	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
972	C₂³×C₄	—	10	1	no	—
973	C₂×Q₁₆	—	5	1	no	—
974	C₂×Q₁₆	—	5	1	no	—
975	C₂×Q₁₆	—	5	1	no	—
976	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
977	C₂×SD₁₆	—	5	1	no	—
978	C₂×SD₁₆	—	5	1	no	—
979	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
980	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
981	C₂²×C₈	—	5	1	no	—
982	C₂²×C₈	—	5	1	no	—
983	C₂²×C₈	—	5	1	no	—
984	C₂²×C₈	—	5	1	no	—
985	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
986	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
987	C₄⋊Q₈	—	5	1	no	—
988	C₄⋊Q₈	—	5	1	no	—
989	C₄⋊Q₈	—	5	1	no	—
990	C₄⋊Q₈	—	5	1	no	—
991	C₄⋊Q₈	—	5	1	no	—
992	C₄⋊Q₈	—	5	1	no	—
993	C₄⋊Q₈	—	5	1	no	—
994	C₄⋊Q₈	—	5	1	no	—
995	C₄⋊Q₈	—	10	1	no	—
996	C₄⋊Q₈	—	10	1	no	—
997	C₄⋊Q₈	—	10	1	no	—
998	C₄⋊Q₈	—	10	1	no	—
999	#126	—	2	1	no	—
1000	#126	—	10	1	no	—
1001	#126	—	10	1	no	—
1002	#126	—	10	1	no	—
1003	#126	—	10	1	no	—
1004	#126	—	10	1	no	—
1005	#126	—	10	1	no	—
1006	#126	—	10	1	no	—
1007	#126	—	10	1	no	—
1008	#126	—	10	1	no	—
1009	#126	—	10	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#125	—	2	1	no	—
1014	#125	—	5	1	no	—
1015	#125	—	5	1	no	—
1016	#125	—	5	1	no	—
1017	#125	—	5	1	no	—
1018	#125	—	5	1	no	—
1019	#125	—	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	C₂²×D₅	1	1	yes	characteristic
1033	#124	—	5	1	no	—
1034	#124	—	10	1	no	—
1035	#124	—	10	1	no	—
1036	#124	—	10	1	no	—
1037	#124	—	10	1	no	—
1038	#124	C₂²×D₅	1	1	yes	characteristic
1039	#123	—	2	1	no	—
1040	#123	—	2	1	no	—
1041	#123	—	10	1	no	—
1042	#123	—	10	1	no	—
1043	#123	—	10	1	no	—
1044	#123	—	10	1	no	—
1045	#123	—	10	1	no	—
1046	#123	—	10	1	no	—
1047	#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	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1071	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1072	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1073	#121	—	2	1	no	—
1074	#121	—	5	1	no	—
1075	#121	—	10	1	no	—
1076	#121	—	10	1	no	—
1077	#121	—	10	1	no	—
1078	#121	C₂²×D₅	1	1	yes	characteristic
1079	#120	—	2	1	no	—
1080	#120	—	10	1	no	—
1081	C₄×Q₈	—	5	1	no	—
1082	C₄×Q₈	—	5	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	—	10	1	no	—
1093	C₄×Q₈	—	10	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	C₂²×D₅	1	1	yes	characteristic
1105	C₄×D₄	—	5	1	no	—
1106	C₄×D₄	—	5	1	no	—
1107	C₄×D₄	—	5	1	no	—
1108	C₄×D₄	—	5	1	no	—
1109	C₄×D₄	—	5	1	no	—
1110	C₄×D₄	—	5	1	no	—
1111	C₄×D₄	—	5	1	no	—
1112	C₄×D₄	—	5	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	5	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	C₄×D₄	—	10	1	no	—
1120	C₄×D₄	—	10	1	no	—
1121	C₄×D₄	—	10	1	no	—
1122	C₄×D₄	—	10	1	no	—
1123	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1124	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1125	#117	—	2	1	no	—
1126	#117	—	5	1	no	—
1127	#117	—	5	1	no	—
1128	#117	—	5	1	no	—
1129	#117	—	5	1	no	—
1130	#117	—	5	1	no	—
1131	#117	—	5	1	no	—
1132	#117	—	5	1	no	—
1133	#117	—	5	1	no	—
1134	#117	—	10	1	no	—
1135	#117	—	10	1	no	—
1136	#117	—	10	1	no	—
1137	#117	—	10	1	no	—
1138	#117	—	10	1	no	—
1139	#117	—	10	1	no	—
1140	#117	—	10	1	no	—
1141	#117	—	10	1	no	—
1142	#117	—	10	1	no	—
1143	#117	—	10	1	no	—
1144	#117	—	10	1	no	—
1145	#117	—	10	1	no	—
1146	#117	—	10	1	no	—
1147	#117	—	10	1	no	—
1148	#117	—	10	1	no	—
1149	#117	C₂²×D₅	1	1	yes	characteristic
1150	C₂×C₄⋊C₄	—	5	1	no	—
1151	C₂×C₄⋊C₄	—	5	1	no	—
1152	C₂×C₄⋊C₄	—	10	1	no	—
1153	C₂×C₄⋊C₄	—	10	1	no	—
1154	C₂×C₄⋊C₄	—	10	1	no	—
1155	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1156	C₂×C₂²⋊C₄	—	2	1	no	—
1157	C₂×C₂²⋊C₄	—	10	1	no	—
1158	C₂×C₂²⋊C₄	—	10	1	no	—
1159	C₂×C₄²	—	5	1	no	—
1160	C₂×C₄²	—	5	1	no	—
1161	C₂×C₄²	—	5	1	no	—
1162	C₂×C₄²	—	10	1	no	—
1163	C₂×C₄²	—	10	1	no	—
1164	#107	—	5	1	no	—
1165	#107	—	5	1	no	—
1166	#107	—	5	1	no	—
1167	#107	—	5	1	no	—
1168	#107	—	5	1	no	—
1169	#107	—	5	1	no	—
1170	#107	—	5	1	no	—
1171	#107	—	5	1	no	—
1172	#107	—	5	1	no	—
1173	#107	—	5	1	no	—
1174	#107	—	5	1	no	—
1175	#107	C₂²×D₅	1	1	yes	characteristic
1176	#106	—	5	1	no	—
1177	#106	—	5	1	no	—
1178	#106	—	5	1	no	—
1179	#106	—	5	1	no	—
1180	#106	—	5	1	no	—
1181	#106	—	5	1	no	—
1182	#106	—	5	1	no	—
1183	#106	—	5	1	no	—
1184	#106	—	5	1	no	—
1185	#106	—	5	1	no	—
1186	#106	C₂²×D₅	1	1	yes	characteristic
1187	#106	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	—	5	1	no	—
1192	C₄⋊C₈	—	5	1	no	—
1193	C₄⋊C₈	—	5	1	no	—
1194	C₄⋊C₈	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1206	#103	—	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	C₂²×D₅	1	1	yes	characteristic
1215	#103	C₂²×D₅	1	1	yes	characteristic
1216	#103	C₂²×D₅	1	1	yes	characteristic
1217	#103	C₂²×D₅	1	1	yes	characteristic
1218	#102	—	5	1	no	—
1219	#102	—	5	1	no	—
1220	#102	—	5	1	no	—
1221	#102	—	5	1	no	—
1222	#102	—	5	1	no	—
1223	#102	—	5	1	no	—
1224	#102	C₂²×D₅	1	1	yes	characteristic
1225	#102	C₂²×D₅	1	1	yes	characteristic
1226	#102	C₂²×D₅	1	1	yes	characteristic
1227	#102	C₂²×D₅	1	1	yes	characteristic
1228	#102	C₂²×D₅	1	1	yes	characteristic
1229	#102	C₂²×D₅	1	1	yes	characteristic
1230	C₂²⋊C₈	—	5	1	no	—
1231	C₂²⋊C₈	—	5	1	no	—
1232	C₂²⋊C₈	—	5	1	no	—
1233	C₂²⋊C₈	—	5	1	no	—
1234	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1235	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1236	C₄×C₈	—	5	1	no	—
1237	C₄×C₈	—	5	1	no	—
1238	C₄×C₈	—	5	1	no	—
1239	C₄×C₈	—	5	1	no	—
1240	C₄×C₈	—	5	1	no	—
1241	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1242	C₂²×C₅	—	2	1	no	—
1243	C₂²×C₅	—	2	1	no	—
1244	C₂²×C₅	—	2	1	no	—
1245	C₂²×C₅	—	2	2	no	—
1246	C₂²×C₅	—	2	1	no	—
1247	C₂²×C₅	—	2	1	no	—
1248	C₂²×C₅	—	4	1	no	—
1249	C₂²×C₅	—	4	1	no	—
1250	C₂²×C₅	—	4	1	no	—
1251	C₂²×C₅	—	4	1	no	—
1252	C₂²×C₅	—	4	1	no	—
1253	C₂²×C₅	—	8	4	no	—
1254	C₂²×C₅	C₂×#135	1	2	yes	—
1255	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1256	C₂×D₅	—	2	1	no	—
1257	C₂×D₅	—	2	1	no	—
1258	C₂×D₅	—	2	1	no	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	1	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	4	1	no	—
1264	C₄×C₅	—	4	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	—	4	1	no	—
1269	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1270	C₄×C₅	#585	1	1	yes	characteristic
1271	Dic₅	—	2	1	no	—
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	1	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	4	1	no	—
1277	Dic₅	—	4	1	no	—
1278	Dic₅	—	4	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	—	4	1	no	—
1284	Dic₅	C₂×#135	1	2	yes	—
1285	Dic₅	C₂×#135	1	2	yes	—
1286	C₂⁴	—	2	1	no	—
1287	#41	—	2	2	no	—
1288	#41	—	4	1	no	—
1289	#41	—	10	4	no	—
1290	#41	—	10	2	no	—
1291	#41	—	20	1	no	—
1292	C₂×Q₈	—	5	1	no	—
1293	C₂×Q₈	—	5	1	no	—
1294	C₂×Q₈	—	5	1	no	—
1295	C₂×Q₈	—	10	1	no	—
1296	C₂×Q₈	—	10	1	no	—
1297	C₂×Q₈	—	10	1	no	—
1298	C₂×Q₈	—	10	1	no	—
1299	C₂×Q₈	—	10	1	no	—
1300	C₂×Q₈	—	10	1	no	—
1301	C₂×Q₈	—	20	4	no	—
1302	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1303	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1304	C₂×D₄	—	2	2	no	—
1305	C₂×D₄	—	2	1	no	—
1306	C₂×D₄	—	2	1	no	—
1307	C₂×D₄	—	2	1	no	—
1308	C₂×D₄	—	4	1	no	—
1309	C₂×D₄	—	5	1	no	—
1310	C₂×D₄	—	5	1	no	—
1311	C₂×D₄	—	10	1	no	—
1312	C₂×D₄	—	10	1	no	—
1313	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1314	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1315	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	5	1	no	—
1320	C₂²×C₄	—	5	1	no	—
1321	C₂²×C₄	—	5	1	no	—
1322	C₂²×C₄	—	5	1	no	—
1323	C₂²×C₄	—	5	1	no	—
1324	C₂²×C₄	—	5	1	no	—
1325	C₂²×C₄	—	5	1	no	—
1326	C₂²×C₄	—	10	1	no	—
1327	C₂²×C₄	—	10	1	no	—
1328	C₂²×C₄	—	10	1	no	—
1329	C₂²×C₄	—	10	1	no	—
1330	C₂²×C₄	—	10	1	no	—
1331	C₂²×C₄	—	10	1	no	—
1332	C₂²×C₄	—	10	1	no	—
1333	C₂²×C₄	—	10	1	no	—
1334	C₂²×C₄	—	20	4	no	—
1335	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1336	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1337	Q₁₆	—	4	1	no	—
1338	Q₁₆	—	20	1	no	—
1339	Q₁₆	—	20	1	no	—
1340	Q₁₆	—	20	1	no	—
1341	SD₁₆	—	2	2	no	—
1342	SD₁₆	—	4	1	no	—
1343	SD₁₆	—	10	2	no	—
1344	SD₁₆	—	20	1	no	—
1345	C₂×C₈	—	4	1	no	—
1346	C₂×C₈	—	4	1	no	—
1347	C₂×C₈	—	5	1	no	—
1348	C₂×C₈	—	5	1	no	—
1349	C₂×C₈	—	5	1	no	—
1350	C₂×C₈	—	5	1	no	—
1351	C₂×C₈	—	20	1	no	—
1352	C₂×C₈	—	20	1	no	—
1353	C₂×C₈	—	20	1	no	—
1354	C₂×C₈	—	20	1	no	—
1355	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	5	1	no	—
1367	C₄⋊C₄	—	5	1	no	—
1368	C₄⋊C₄	—	5	1	no	—
1369	C₄⋊C₄	—	5	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	10	1	no	—
1378	C₄⋊C₄	—	10	1	no	—
1379	C₄⋊C₄	—	10	1	no	—
1380	C₄⋊C₄	—	10	1	no	—
1381	C₄⋊C₄	—	10	1	no	—
1382	C₄⋊C₄	—	10	1	no	—
1383	C₄⋊C₄	—	10	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1416	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1417	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1418	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1419	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	5	1	no	—
1429	C₂²⋊C₄	—	5	1	no	—
1430	C₂²⋊C₄	—	5	1	no	—
1431	C₂²⋊C₄	—	5	1	no	—
1432	C₂²⋊C₄	—	10	1	no	—
1433	C₂²⋊C₄	—	10	1	no	—
1434	C₂²⋊C₄	—	10	1	no	—
1435	C₂²⋊C₄	—	10	1	no	—
1436	C₂²⋊C₄	—	10	1	no	—
1437	C₂²⋊C₄	—	10	1	no	—
1438	C₂²⋊C₄	—	10	1	no	—
1439	C₂²⋊C₄	—	10	1	no	—
1440	C₂²⋊C₄	—	10	1	no	—
1441	C₂²⋊C₄	—	10	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1453	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	5	1	no	—
1457	C₄²	—	5	1	no	—
1458	C₄²	—	5	1	no	—
1459	C₄²	—	5	1	no	—
1460	C₄²	—	5	1	no	—
1461	C₄²	—	5	1	no	—
1462	C₄²	—	5	1	no	—
1463	C₄²	—	5	1	no	—
1464	C₄²	—	5	1	no	—
1465	C₄²	—	10	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	—	10	1	no	—
1469	C₄²	—	10	1	no	—
1470	C₄²	—	10	1	no	—
1471	C₄²	—	10	1	no	—
1472	C₄²	—	10	1	no	—
1473	C₄²	—	10	1	no	—
1474	C₄²	—	10	1	no	—
1475	C₄²	—	10	1	no	—
1476	C₄²	—	10	1	no	—
1477	C₄²	—	10	1	no	—
1478	C₄²	—	10	1	no	—
1479	C₄²	C₂³×D₅	1	1	yes	characteristic
1480	C₂×C₅	—	2	2	no	—
1481	C₂×C₅	—	4	1	no	—
1482	C₂×C₅	—	4	2	no	—
1483	C₂×C₅	—	8	1	no	—
1484	C₂×C₅	#3489	1	1	yes	characteristic
1485	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1486	C₂×C₅	#3586	1	1	yes	characteristic
1487	D₅	—	4	1	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	2	1	no	—
1490	C₂³	—	4	2	no	—
1491	C₂³	—	4	2	no	—
1492	C₂³	—	5	1	no	—
1493	C₂³	—	8	1	no	—
1494	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1495	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	10	2	no	—
1501	Q₈	—	10	1	no	—
1502	Q₈	—	10	1	no	—
1503	Q₈	—	10	1	no	—
1504	Q₈	—	10	1	no	—
1505	Q₈	—	20	2	no	—
1506	Q₈	—	20	2	no	—
1507	Q₈	—	20	2	no	—
1508	Q₈	—	20	2	no	—
1509	Q₈	—	20	2	no	—
1510	Q₈	—	40	1	no	—
1511	D₄	—	2	2	no	—
1512	D₄	—	2	1	no	—
1513	D₄	—	2	1	no	—
1514	D₄	—	2	1	no	—
1515	D₄	—	4	2	no	—
1516	D₄	—	4	2	no	—
1517	D₄	—	8	1	no	—
1518	D₄	—	10	2	no	—
1519	D₄	—	10	2	no	—
1520	D₄	—	20	2	no	—
1521	D₄	—	40	1	no	—
1522	D₄	#4150	1	2	yes	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	4	2	no	—
1534	C₂×C₄	—	4	2	no	—
1535	C₂×C₄	—	5	4	no	—
1536	C₂×C₄	—	5	1	no	—
1537	C₂×C₄	—	5	1	no	—
1538	C₂×C₄	—	5	1	no	—
1539	C₂×C₄	—	5	1	no	—
1540	C₂×C₄	—	5	1	no	—
1541	C₂×C₄	—	5	1	no	—
1542	C₂×C₄	—	5	1	no	—
1543	C₂×C₄	—	8	1	no	—
1544	C₂×C₄	—	10	2	no	—
1545	C₂×C₄	—	10	2	no	—
1546	C₂×C₄	—	10	1	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	10	1	no	—
1550	C₂×C₄	—	10	1	no	—
1551	C₂×C₄	—	10	1	no	—
1552	C₂×C₄	—	10	1	no	—
1553	C₂×C₄	—	10	1	no	—
1554	C₂×C₄	—	10	1	no	—
1555	C₂×C₄	—	10	1	no	—
1556	C₂×C₄	—	20	1	no	—
1557	C₂×C₄	—	20	2	no	—
1558	C₂×C₄	—	20	2	no	—
1559	C₂×C₄	—	20	2	no	—
1560	C₂×C₄	—	20	2	no	—
1561	C₂×C₄	—	20	1	no	—
1562	C₂×C₄	—	20	1	no	—
1563	C₂×C₄	—	20	2	no	—
1564	C₂×C₄	—	20	2	no	—
1565	C₂×C₄	—	20	2	no	—
1566	C₂×C₄	—	40	1	no	—
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1569	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1570	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1571	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	10	1	no	—
1577	C₈	—	10	1	no	—
1578	C₈	—	10	1	no	—
1579	C₈	—	10	1	no	—
1580	C₅	#62097	1	1	yes	characteristic, complemented, Sylow
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	2	2	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	4	1	no	—
1588	C₂²	—	4	1	no	—
1589	C₂²	—	4	1	no	—
1590	C₂²	—	4	1	no	—
1591	C₂²	—	4	1	no	—
1592	C₂²	—	8	4	no	—
1593	C₂²	—	10	1	no	—
1594	C₂²	—	10	1	no	—
1595	C₂²	—	10	1	no	—
1596	C₂²	D₅×#135	1	2	yes	—
1597	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	5	2	no	—
1609	C₄	—	5	2	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	10	1	no	—
1614	C₄	—	10	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	—	20	1	no	—
1620	C₄	—	20	1	no	—
1621	C₄	—	20	1	no	—
1622	C₄	—	20	1	no	—
1623	C₄	C₂×#4150	1	1	yes	characteristic
1624	C₄	#66285	1	1	yes	characteristic
1625	C₂	—	2	2	no	—
1626	C₂	—	4	1	no	—
1627	C₂	—	4	2	no	—
1628	C₂	—	8	1	no	—
1629	C₂	—	20	1	no	—
1630	C₂	#10618531	1	1	yes	characteristic
1631	C₂	C₂×D₅×#135	1	1	yes	characteristic
1632	C₂	#10619109	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×#3296	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618528	C₂
hypercenter	#3296	D₅
hypocenter	C₅	#62097
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3296

Complements

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

N	H ≅ G/N	type
1. #10618733	C₂	semidirect
3. C₅×#3296	C₂	semidirect
4. #10615321	C₂	semidirect
5. #10615225	C₂	semidirect
6. #10613380	C₂	semidirect
7. #10613365	C₂	semidirect
8. #10613167	C₂	semidirect
9. #10613149	C₂	semidirect
10. #10613095	C₂	semidirect
11. #10613088	C₂	semidirect
12. #10612896	C₂	semidirect
13. #10612888	C₂	semidirect
14. #10612483	C₂	semidirect
15. #10612478	C₂	semidirect
16. #10612381	C₂	semidirect
17. #10612373	C₂	semidirect
18. #10612311	C₂	semidirect
19. #10612307	C₂	semidirect
20. #10611979	C₂	semidirect
21. #10611944	C₂	semidirect
22. #10611890	C₂	semidirect
23. #10611863	C₂	semidirect
24. #10611386	C₂	semidirect
25. #10611364	C₂	semidirect
26. #10611144	C₂	semidirect
27. #10611136	C₂	semidirect
28. #10610580	C₂	semidirect
29. #10610553	C₂	semidirect
30. #10610490	C₂	semidirect
31. C₂×#65048	C₂	semidirect
41. #66022	C₂²	semidirect
43. #66019	C₂²	semidirect
52. #65975	C₂²	semidirect
55. #65956	C₂²	semidirect
62. #65912	C₂²	semidirect
63. #65903	C₂²	semidirect
69. #65867	C₂²	semidirect
71. #65851	C₂²	semidirect
94. #65477	C₂²	semidirect
95. Q₁₆×Dic₅	C₂²	semidirect
96. #65471	C₂²	semidirect
97. #65471	C₂²	semidirect
107. #65405	C₂²	semidirect
109. C₈×C₂²⋊D₅	C₂²	semidirect
110. #65395	C₂²	semidirect
113. C₂×#3946	C₂²	semidirect
114. #65353	C₂²	semidirect
115. #65352	C₂²	semidirect
120. #65340	C₂²	semidirect
121. #65334	C₂²	semidirect
126. C₄×#689	C₂²	semidirect
127. #65311	C₂²	semidirect
131. #65287	C₂²	semidirect
132. #65285	C₂²	semidirect
135. #65169	C₂²	semidirect
136. #65167	C₂²	semidirect
137. #65164	C₂²	semidirect
138. #65164	C₂²	semidirect
139. #65156	C₂²	semidirect
140. #65149	C₂²	semidirect
141. #65147	C₂²	semidirect
142. #65146	C₂²	semidirect
143. #65144	C₂²	semidirect
144. #65144	C₂²	semidirect
145. #65143	C₂²	semidirect
146. #65143	C₂²	semidirect
147. D₅×C₄⋊C₈	C₂²	semidirect
148. #65119	C₂²	semidirect
149. #65118	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65104	C₂²	semidirect
152. #65103	C₂²	semidirect
153. #65103	C₂²	semidirect
154. #65102	C₂²	semidirect
155. #65088	C₂²	semidirect
156. #65085	C₂²	semidirect
157. #65085	C₂²	semidirect
158. #65083	C₂²	semidirect
159. #65083	C₂²	semidirect
160. #65082	C₂²	semidirect
161. #65082	C₂²	semidirect
162. #65081	C₂²	semidirect
163. #65081	C₂²	semidirect
164. #65080	C₂²	semidirect
165. #65080	C₂²	semidirect
166. #65079	C₂²	semidirect
192. #65014	C₂²	semidirect
193. #65012	C₂²	semidirect
194. #65012	C₂²	semidirect
198. #65007	C₂²	semidirect
199. C₄×Dic₂₀	C₂²	semidirect
200. #64974	C₂²	semidirect
201. #64972	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
496. #3296	D₅	semidirect
1580. C₅	#62097	semidirect

Maximal subgroups

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

subgroup	index
#10618733	2
#10618528	2
C₅×#3296	2
#10615321	2
#10615225	2
#10613380	2
#10613365	2
#10613167	2
#10613149	2
#10613095	2
#10613088	2
#10612896	2
#10612888	2
#10612483	2
#10612478	2
#10612381	2
#10612373	2
#10612311	2
#10612307	2
#10611979	2
#10611944	2
#10611890	2
#10611863	2
#10611386	2
#10611364	2
#10611144	2
#10611136	2
#10610580	2
#10610553	2
#10610490	2
C₂×#65048	2
#62097	5