Subgroups — #12994955

Order 1280.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618000	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617686	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614749	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614040	C₂	1	1	yes	maximal, characteristic, complemented
6	#10612926	C₂	1	1	yes	maximal, characteristic, complemented
7	#10612925	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612918	C₂	1	1	yes	maximal, characteristic, complemented
9	#10612917	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612911	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612904	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612903	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612896	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612888	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612887	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612882	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612881	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612879	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612872	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612871	C₂	1	1	yes	maximal, characteristic, complemented
22	#10610888	C₂	1	1	yes	maximal, characteristic, complemented
23	#10610887	C₂	1	1	yes	maximal, characteristic, complemented
24	#10610856	C₂	1	1	yes	maximal, characteristic, complemented
25	#10610855	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610761	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610744	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610491	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610490	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610489	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610488	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×#125	C₂²	1	1	yes	characteristic, complemented
33	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
34	#66140	C₂²	1	1	yes	characteristic
35	D₄×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	#66125	—	2	1	no	—
37	C₂×C₄×C₂²⋊D₅	—	2	1	no	—
38	#66030	—	2	1	no	—
39	#66029	C₂²	1	1	yes	characteristic, complemented
40	#66028	C₂²	1	1	yes	characteristic, complemented
41	#66027	—	2	1	no	—
42	#66027	—	2	1	no	—
43	#66026	—	2	1	no	—
44	#66025	C₂²	1	1	yes	characteristic, complemented
45	#66025	C₂²	1	1	yes	characteristic, complemented
46	#66024	C₂²	1	1	yes	characteristic, complemented
47	#66022	C₂²	1	1	yes	characteristic, complemented
48	D₅×#125	C₂²	1	1	yes	characteristic, complemented
49	#66019	C₂²	1	1	yes	characteristic, complemented
50	#65893	C₂²	1	1	yes	characteristic
51	#65892	C₂²	1	1	yes	characteristic
52	#65891	C₂²	1	1	yes	characteristic
53	#65890	—	2	1	no	—
54	#65888	C₂²	1	1	yes	characteristic
55	#65882	C₂²	1	1	yes	characteristic
56	#65881	—	2	1	no	—
57	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
58	#65874	—	2	1	no	—
59	#65873	C₂²	1	1	yes	characteristic
60	#65872	—	2	1	no	—
61	C₄×#711	C₂²	1	1	yes	characteristic
62	#65849	—	2	1	no	—
63	#65848	C₂²	1	1	yes	characteristic
64	#65848	C₂²	1	1	yes	characteristic, complemented
65	#65847	—	2	1	no	—
66	#65847	C₂²	1	1	yes	characteristic, complemented
67	#65845	C₂²	1	1	yes	characteristic
68	#65845	C₂²	1	1	yes	characteristic
69	#65841	—	2	1	no	—
70	#65841	C₂²	1	1	yes	characteristic
71	#65838	—	2	1	no	—
72	#65829	—	2	1	no	—
73	#65824	—	2	1	no	—
74	#65813	C₂²	1	1	yes	characteristic
75	#65813	C₂²	1	1	yes	characteristic, complemented
76	C₄×#709	C₂²	1	1	yes	characteristic
77	C₅×#478	C₂²	1	1	yes	characteristic
78	C₅×#478	C₂²	1	1	yes	characteristic
79	C₅×#478	C₂²	1	1	yes	characteristic
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#478	C₂²	1	1	yes	characteristic, complemented
82	C₅×#478	C₂²	1	1	yes	characteristic, complemented
83	C₅×#478	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic, complemented
85	C₂×C₅×#107	C₂²	1	1	yes	characteristic, complemented
86	C₂×C₅×#106	C₂²	1	1	yes	characteristic, complemented
87	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
88	C₂×C₅×#102	C₂²	1	1	yes	characteristic
89	C₂×C₅×#102	C₂²	1	1	yes	characteristic
90	#65507	C₂²	1	1	yes	characteristic
91	#65506	C₂²	1	1	yes	characteristic
92	#65405	C₂²	1	1	yes	characteristic, complemented
93	#65404	C₂²	1	1	yes	characteristic
94	#65403	C₂²	1	1	yes	characteristic
95	#65403	C₂²	1	1	yes	characteristic, complemented
96	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
97	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
98	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
99	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
100	#65357	C₂²	1	1	yes	characteristic, complemented
101	#65357	C₂²	1	1	yes	characteristic, complemented
102	#65355	C₂²	1	1	yes	characteristic, complemented
103	#65355	C₂²	1	1	yes	characteristic, complemented
104	#65353	C₂²	1	1	yes	characteristic, complemented
105	#65353	C₂²	1	1	yes	characteristic, complemented
106	#65352	C₂²	1	1	yes	characteristic, complemented
107	#65352	C₂²	1	1	yes	characteristic, complemented
108	C₄×#687	C₂²	1	1	yes	characteristic
109	C₄×#687	C₂²	1	1	yes	characteristic, complemented
110	#65305	C₂²	1	1	yes	characteristic
111	#65305	C₂²	1	1	yes	characteristic, complemented
112	C₄×#686	C₂²	1	1	yes	characteristic
113	C₄×#686	C₂²	1	1	yes	characteristic, complemented
114	#65298	C₂²	1	1	yes	characteristic
115	#65298	C₂²	1	1	yes	characteristic, complemented
116	#65260	C₂²	1	1	yes	characteristic, complemented
117	#65259	C₂²	1	1	yes	characteristic, complemented
118	#65259	C₂²	1	1	yes	characteristic, complemented
119	#65257	C₂²	1	1	yes	characteristic
120	#65257	C₂²	1	1	yes	characteristic, complemented
121	#65256	C₂²	1	1	yes	characteristic
122	#65214	C₂²	1	1	yes	characteristic, complemented
123	#65180	C₂²	1	1	yes	characteristic, complemented
124	#65180	C₂²	1	1	yes	characteristic, complemented
125	#65176	C₂²	1	1	yes	characteristic, complemented
126	#65174	C₂²	1	1	yes	characteristic, complemented
127	#65174	C₂²	1	1	yes	characteristic, complemented
128	#65173	C₂²	1	1	yes	characteristic, complemented
129	#65173	C₂²	1	1	yes	characteristic, complemented
130	#65172	C₂²	1	1	yes	characteristic, complemented
131	#65169	C₂²	1	1	yes	characteristic, complemented
132	D₅×#107	C₂²	1	1	yes	characteristic, complemented
133	#65167	C₂²	1	1	yes	characteristic, complemented
134	#65164	C₂²	1	1	yes	characteristic, complemented
135	#65164	C₂²	1	1	yes	characteristic, complemented
136	#65163	C₂²	1	1	yes	characteristic, complemented
137	#65162	C₂²	1	1	yes	characteristic, complemented
138	#65161	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic, complemented
140	#65159	C₂²	1	1	yes	characteristic, complemented
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65155	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65152	C₂²	1	1	yes	characteristic, complemented
146	#65151	C₂²	1	1	yes	characteristic, complemented
147	#65149	C₂²	1	1	yes	characteristic, complemented
148	D₅×#106	C₂²	1	1	yes	characteristic, complemented
149	#65147	C₂²	1	1	yes	characteristic, complemented
150	#65146	C₂²	1	1	yes	characteristic, complemented
151	#65144	C₂²	1	1	yes	characteristic, complemented
152	#65143	C₂²	1	1	yes	characteristic, complemented
153	#65141	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic, complemented
155	#65136	C₂²	1	1	yes	characteristic, complemented
156	#65136	C₂²	1	1	yes	characteristic, complemented
157	#65134	C₂²	1	1	yes	characteristic, complemented
158	#65134	C₂²	1	1	yes	characteristic, complemented
159	#65133	C₂²	1	1	yes	characteristic, complemented
160	#65133	C₂²	1	1	yes	characteristic, complemented
161	#65123	C₂²	1	1	yes	characteristic, complemented
162	#65123	C₂²	1	1	yes	characteristic, complemented
163	#65122	C₂²	1	1	yes	characteristic, complemented
164	#65122	C₂²	1	1	yes	characteristic, complemented
165	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
166	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#65119	C₂²	1	1	yes	characteristic, complemented
168	#65119	C₂²	1	1	yes	characteristic, complemented
169	#65118	C₂²	1	1	yes	characteristic, complemented
170	#65118	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic, complemented
172	#65075	C₂²	1	1	yes	characteristic
173	#65073	C₂²	1	1	yes	characteristic, complemented
174	#65072	C₂²	1	1	yes	characteristic
175	#65070	C₂²	1	1	yes	characteristic
176	#65068	C₂²	1	1	yes	characteristic, complemented
177	#65067	C₂²	1	1	yes	characteristic
178	#65067	C₂²	1	1	yes	characteristic, complemented
179	#65066	C₂²	1	1	yes	characteristic
180	#65065	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic
182	#65064	C₂²	1	1	yes	characteristic, complemented
183	#65063	C₂²	1	1	yes	characteristic
184	#65062	C₂²	1	1	yes	characteristic
185	#65061	C₂²	1	1	yes	characteristic
186	#65061	C₂²	1	1	yes	characteristic
187	D₅×#102	C₂²	1	1	yes	characteristic
188	D₅×#102	C₂²	1	1	yes	characteristic
189	#65057	C₂²	1	1	yes	characteristic, complemented
190	#65057	C₂²	1	1	yes	characteristic, complemented
191	#65056	C₂²	1	1	yes	characteristic, complemented
192	#65055	C₂²	1	1	yes	characteristic
193	#65052	C₂²	1	1	yes	characteristic
194	#65051	C₂²	1	1	yes	characteristic
195	#65050	C₂²	1	1	yes	characteristic
196	#65049	C₂²	1	1	yes	characteristic
197	#65049	C₂²	1	1	yes	characteristic
198	#65048	C₂²	1	1	yes	characteristic
199	#65047	C₂²	1	1	yes	characteristic
200	#65047	C₂²	1	1	yes	characteristic
201	#65045	C₂²	1	1	yes	characteristic
202	#65045	C₂²	1	1	yes	characteristic
203	#62103	—	5	1	no	maximal, Sylow
204	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₅	—	2	1	no	—
206	C₂²×C₂²⋊D₅	—	2	1	no	—
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×#709	—	2	1	no	—
210	C₂×#709	—	2	1	no	—
211	C₂×#709	D₄	1	1	yes	characteristic
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×#125	—	2	1	no	—
216	C₅×#125	—	2	1	no	—
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₄×C₅×D₄	—	2	1	no	—
222	C₄×C₅×D₄	—	2	1	no	—
223	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
224	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
225	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
226	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₄⋊C₄	—	2	1	no	—
228	C₂×C₅×C₄⋊C₄	—	2	1	no	—
229	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
233	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
234	#4099	—	2	1	no	—
235	#4099	—	2	1	no	—
236	C₂×C₂²⋊Dic₅	—	2	1	no	—
237	#4086	C₂³	1	1	yes	characteristic
238	#4085	—	2	1	no	—
239	#4085	—	2	1	no	—
240	#4084	C₂³	1	1	yes	characteristic
241	#4084	C₂³	1	1	yes	characteristic
242	#4083	—	2	1	no	—
243	#4082	C₂³	1	1	yes	characteristic
244	#4081	—	2	1	no	—
245	D₄×Dic₅	C₂³	1	1	yes	characteristic
246	D₄×Dic₅	C₂³	1	1	yes	characteristic
247	C₂×#687	C₂³	1	1	yes	characteristic
248	C₂×#687	C₂³	1	1	yes	characteristic
249	C₂×#686	C₂³	1	1	yes	characteristic
250	C₂×#686	C₂³	1	1	yes	characteristic
251	#4076	—	2	1	no	—
252	#4076	—	2	1	no	—
253	#4076	—	2	1	no	—
254	#4076	C₂³	1	1	yes	characteristic
255	#4076	C₂³	1	1	yes	characteristic
256	#4075	—	2	1	no	—
257	#4075	—	2	1	no	—
258	#4075	—	2	1	no	—
259	#4075	—	2	1	no	—
260	#4075	—	2	1	no	—
261	#4075	—	2	1	no	—
262	C₄×C₂²⋊D₅	—	2	1	no	—
263	C₄×C₂²⋊D₅	—	2	1	no	—
264	C₄×C₂²⋊D₅	—	2	1	no	—
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
275	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
276	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
277	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
278	C₂×#685	—	2	1	no	—
279	#4072	—	2	1	no	—
280	#4072	—	2	1	no	—
281	#4072	D₄	1	1	yes	characteristic
282	#4070	—	2	1	no	—
283	#4070	—	2	1	no	—
284	#4070	—	2	1	no	—
285	#4070	C₂³	1	1	yes	characteristic
286	#4070	C₂³	1	1	yes	characteristic
287	C₂×#683	—	2	1	no	—
288	C₂×C₄×Dic₅	—	2	1	no	—
289	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
290	C₂×D₄₀	C₂³	1	1	yes	characteristic
291	C₂×#677	C₂³	1	1	yes	characteristic
292	C₂×#677	C₂³	1	1	yes	characteristic
293	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
294	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
295	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
296	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4043	—	2	1	no	—
305	#4043	C₂³	1	1	yes	characteristic
306	#4043	C₂³	1	1	yes	characteristic
307	#4043	C₂³	1	1	yes	characteristic
308	#4042	—	2	1	no	—
309	#4042	—	2	1	no	—
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4042	—	2	1	no	—
315	#4041	—	2	1	no	—
316	#4041	C₂³	1	1	yes	characteristic
317	#4041	C₂³	1	1	yes	characteristic
318	#4041	C₂³	1	1	yes	characteristic
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	—	2	1	no	—
324	#4040	—	2	1	no	—
325	#4040	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	—	2	1	no	—
329	#4039	C₂³	1	1	yes	characteristic
330	#4039	C₂³	1	1	yes	characteristic
331	#4039	C₂³	1	1	yes	characteristic
332	#4038	—	2	1	no	—
333	#4038	—	2	1	no	—
334	#4038	—	2	1	no	—
335	#4038	C₂³	1	1	yes	characteristic
336	#4038	C₂³	1	1	yes	characteristic
337	#4038	C₂³	1	1	yes	characteristic
338	D₅×C₄⋊C₄	—	2	1	no	—
339	D₅×C₄⋊C₄	—	2	1	no	—
340	D₅×C₄⋊C₄	—	2	1	no	—
341	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
342	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
343	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
344	#4036	—	2	1	no	—
345	#4036	C₂³	1	1	yes	characteristic
346	#4036	C₂³	1	1	yes	characteristic
347	#4036	C₂³	1	1	yes	characteristic
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4034	—	2	1	no	—
356	#4034	C₂³	1	1	yes	characteristic
357	#4034	C₂³	1	1	yes	characteristic
358	#4034	C₂³	1	1	yes	characteristic
359	#4033	—	2	1	no	—
360	#4033	—	2	1	no	—
361	#4033	—	2	1	no	—
362	#4033	C₂³	1	1	yes	characteristic
363	#4033	C₂³	1	1	yes	characteristic
364	#4033	C₂³	1	1	yes	characteristic
365	#4032	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4029	—	2	1	no	—
371	#4029	—	2	1	no	—
372	#4028	—	2	1	no	—
373	#4027	—	2	1	no	—
374	#4027	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4022	—	2	1	no	—
383	#4021	C₂³	1	1	yes	characteristic
384	#4021	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	D₄	1	1	yes	characteristic
386	C₄×D₂₀	C₂³	1	1	yes	characteristic
387	C₄×D₂₀	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	C₂³	1	1	yes	characteristic
389	#4018	—	2	1	no	—
390	#4018	—	2	1	no	—
391	#4018	D₄	1	1	yes	characteristic
392	#4018	D₄	1	1	yes	characteristic
393	C₄²×D₅	C₂³	1	1	yes	characteristic
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	#4016	C₂³	1	1	yes	characteristic
396	#4016	C₂³	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	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#107	C₂³	1	1	yes	characteristic
404	C₅×#107	C₂³	1	1	yes	characteristic
405	C₅×#106	C₂³	1	1	yes	characteristic
406	C₅×#106	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	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	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	C₂²⋊#168	C₂³	1	1	yes	characteristic
426	C₂²⋊#168	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3953	C₂³	1	1	yes	characteristic
430	#3953	C₂³	1	1	yes	characteristic
431	#3952	C₂³	1	1	yes	characteristic
432	#3952	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3952	C₂³	1	1	yes	characteristic
435	#3950	C₂³	1	1	yes	characteristic
436	#3950	C₂³	1	1	yes	characteristic
437	#3949	C₂³	1	1	yes	characteristic
438	#3949	C₂³	1	1	yes	characteristic
439	#3948	C₂³	1	1	yes	characteristic
440	#3948	C₂³	1	1	yes	characteristic
441	#3948	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3946	C₂³	1	1	yes	characteristic
444	#3946	C₂³	1	1	yes	characteristic
445	#3946	C₂³	1	1	yes	characteristic
446	#3946	C₂³	1	1	yes	characteristic
447	C₈×Dic₅	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	C₈×Dic₅	C₂³	1	1	yes	characteristic
450	C₈×Dic₅	C₂³	1	1	yes	characteristic
451	#3942	C₂³	1	1	yes	characteristic
452	#3942	C₂³	1	1	yes	characteristic
453	#3942	C₂³	1	1	yes	characteristic
454	#3942	C₂³	1	1	yes	characteristic
455	#3942	C₂³	1	1	yes	characteristic
456	#3942	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄×#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3515	—	5	1	no	—
480	#3481	—	5	1	no	—
481	#3381	—	5	1	no	—
482	#3380	—	5	1	no	—
483	#3365	—	5	1	no	—
484	#3361	—	5	1	no	—
485	#3339	—	5	1	no	—
486	#3339	—	5	1	no	—
487	#3338	—	5	1	no	—
488	#3337	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3335	—	5	1	no	—
491	#3297	—	5	1	no	—
492	#3297	—	5	1	no	—
493	#3296	—	5	1	no	—
494	#3296	—	5	1	no	—
495	#3295	—	5	1	no	—
496	#3294	—	5	1	no	—
497	#3250	—	5	1	no	—
498	#3250	—	5	1	no	—
499	#3247	—	5	1	no	—
500	#3232	—	5	1	no	—
501	#3232	—	5	1	no	—
502	#3228	—	5	1	no	—
503	#3105	—	5	1	no	—
504	#3105	—	5	1	no	—
505	#3102	—	5	1	no	—
506	#3076	—	5	1	no	—
507	C₂×#478	—	5	1	no	—
508	C₂×#478	D₅	1	1	yes	characteristic, complemented
509	#2988	—	5	1	no	—
510	C₂⁴×C₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂×C₅×D₄	—	2	2	no	—
513	C₂×C₅×D₄	—	2	1	no	—
514	C₂×C₅×D₄	—	4	1	no	—
515	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	—	2	1	no	—
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	8	2	no	—
525	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
526	C₂²×C₄×C₅	C₂×D₄	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	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	4	4	no	—
537	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
538	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	#711	—	2	2	no	—
543	#711	—	4	1	no	—
544	D₄×D₅	—	2	2	no	—
545	D₄×D₅	—	4	1	no	—
546	#709	—	2	4	no	—
547	#709	—	4	4	no	—
548	#709	—	8	2	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	8	2	no	—
564	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₂×C₅×C₈	—	4	1	no	—
577	C₂×C₅×C₈	—	4	1	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
604	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
605	C₄²×C₅	C₂⁴	1	1	yes	characteristic
606	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
616	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
617	#687	—	2	2	no	—
618	#687	—	4	1	no	—
619	#686	—	2	2	no	—
620	#686	—	4	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	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	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	C₂×D₄	1	1	yes	characteristic
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
652	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
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	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	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
694	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	Dic₂₀	—	4	1	no	—
700	D₄₀	—	4	1	no	—
701	#677	—	4	1	no	—
702	#677	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	C₈×D₅	—	4	1	no	—
705	C₈×D₅	—	4	1	no	—
706	C₈×D₅	—	4	1	no	—
707	#559	—	5	1	no	—
708	#557	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#553	—	5	1	no	—
714	#553	—	5	1	no	—
715	#553	—	5	1	no	—
716	#553	—	5	1	no	—
717	#553	—	10	1	no	—
718	#552	—	5	1	no	—
719	#552	—	5	1	no	—
720	#552	—	10	1	no	—
721	#552	—	10	1	no	—
722	#552	—	10	1	no	—
723	#551	—	10	1	no	—
724	#551	—	10	1	no	—
725	#547	—	5	1	no	—
726	#547	—	10	1	no	—
727	#546	—	5	1	no	—
728	#546	—	5	1	no	—
729	#546	—	10	1	no	—
730	D₄²	—	5	1	no	—
731	#541	—	10	1	no	—
732	#539	—	10	1	no	—
733	#539	—	10	1	no	—
734	#533	—	5	1	no	—
735	#532	—	5	1	no	—
736	#529	—	5	1	no	—
737	#529	—	5	1	no	—
738	#529	—	5	1	no	—
739	#529	—	5	1	no	—
740	#529	—	5	1	no	—
741	#529	—	10	1	no	—
742	C₂×#125	—	5	1	no	—
743	C₂×#125	C₂×D₅	1	1	yes	characteristic, complemented
744	#525	—	10	1	no	—
745	#525	—	10	1	no	—
746	#520	—	10	1	no	—
747	C₄×#41	—	5	1	no	—
748	C₄×#41	—	5	1	no	—
749	C₂×C₄×D₄	—	5	1	no	—
750	C₂×C₄×D₄	—	10	1	no	—
751	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
752	#500	—	5	1	no	—
753	#499	—	5	1	no	—
754	#499	—	5	1	no	—
755	#499	—	5	1	no	—
756	#499	—	5	1	no	—
757	#498	—	5	1	no	—
758	#488	—	5	1	no	—
759	#488	—	5	1	no	—
760	#488	—	5	1	no	—
761	#488	—	5	1	no	—
762	#486	—	5	1	no	—
763	#486	—	5	1	no	—
764	#485	—	5	1	no	—
765	#484	—	5	1	no	—
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#484	—	5	1	no	—
769	#483	—	5	1	no	—
770	#483	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#481	—	5	1	no	—
779	#481	—	5	1	no	—
780	#480	—	5	1	no	—
781	#480	—	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	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	C₂×D₅	1	1	yes	characteristic
799	#478	C₂×D₅	1	1	yes	characteristic
800	#478	C₂×D₅	1	1	yes	characteristic
801	#478	C₂×D₅	1	1	yes	characteristic
802	#478	C₂×D₅	1	1	yes	characteristic, complemented
803	#478	C₂×D₅	1	1	yes	characteristic, complemented
804	#478	C₂×D₅	1	1	yes	characteristic, complemented
805	#478	C₂×D₅	1	1	yes	characteristic, complemented
806	#477	—	5	1	no	—
807	#477	—	5	1	no	—
808	#476	—	5	1	no	—
809	#476	—	5	1	no	—
810	#475	—	5	1	no	—
811	#474	—	5	1	no	—
812	#467	—	5	1	no	—
813	#467	—	5	1	no	—
814	#466	—	5	1	no	—
815	#466	—	5	1	no	—
816	#466	—	5	1	no	—
817	#466	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	5	1	no	—
826	#464	—	5	1	no	—
827	#463	—	5	1	no	—
828	#463	—	5	1	no	—
829	#463	—	5	1	no	—
830	#463	—	5	1	no	—
831	#463	—	5	1	no	—
832	#460	—	5	1	no	—
833	#459	—	5	1	no	—
834	#452	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#449	—	5	1	no	—
838	#447	—	5	1	no	—
839	#447	—	5	1	no	—
840	C₈×Q₈	—	5	1	no	—
841	C₈×Q₈	—	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×D₈	—	5	1	no	—
850	C₄×D₈	—	5	1	no	—
851	C₄×D₈	—	5	1	no	—
852	C₄×D₈	—	5	1	no	—
853	C₄×D₈	—	5	1	no	—
854	C₈×D₄	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	—	5	1	no	—
857	C₈×D₄	—	5	1	no	—
858	C₈×D₄	—	5	1	no	—
859	C₈×D₄	—	5	1	no	—
860	#431	—	5	1	no	—
861	#431	—	5	1	no	—
862	#431	—	5	1	no	—
863	#427	—	5	1	no	—
864	#427	—	5	1	no	—
865	C₂×#107	—	5	1	no	—
866	C₂×#107	C₂×D₅	1	1	yes	characteristic, complemented
867	C₂×#106	—	5	1	no	—
868	C₂×#106	C₂×D₅	1	1	yes	characteristic, complemented
869	C₂×C₄⋊C₈	—	5	1	no	—
870	C₂×C₄⋊C₈	—	5	1	no	—
871	C₂×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
872	#416	—	5	1	no	—
873	#416	—	5	1	no	—
874	C₂×#102	—	5	1	no	—
875	C₂×#102	—	5	1	no	—
876	C₂×#102	C₂×D₅	1	1	yes	characteristic
877	C₂×#102	C₂×D₅	1	1	yes	characteristic
878	C₂³×C₅	—	2	1	no	—
879	C₂³×C₅	—	2	1	no	—
880	C₂³×C₅	—	4	2	no	—
881	C₂³×C₅	—	4	2	no	—
882	C₂³×C₅	—	8	1	no	—
883	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
884	C₂²×D₅	—	2	1	no	—
885	C₂²×D₅	—	2	1	no	—
886	C₂²×D₅	—	4	2	no	—
887	C₂²×D₅	—	4	2	no	—
888	C₂²×D₅	—	8	1	no	—
889	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
890	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	2	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	4	2	no	—
895	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
896	C₂×C₄×C₅	—	2	2	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	1	no	—
906	C₂×C₄×C₅	—	4	2	no	—
907	C₂×C₄×C₅	—	4	2	no	—
908	C₂×C₄×C₅	—	4	2	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	—	8	1	no	—
911	C₂×C₄×C₅	—	8	1	no	—
912	C₂×C₄×C₅	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
919	C₂²⋊D₅	—	2	2	no	—
920	C₂²⋊D₅	—	4	2	no	—
921	C₂²⋊D₅	—	4	2	no	—
922	C₂²⋊D₅	—	4	2	no	—
923	C₂²⋊D₅	—	4	2	no	—
924	C₂²⋊D₅	—	4	2	no	—
925	C₂²⋊D₅	—	4	2	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂²⋊D₅	#135	1	4	yes	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	4	2	no	—
936	C₂×Dic₅	—	4	2	no	—
937	C₂×Dic₅	—	8	1	no	—
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	D₂₀	—	2	2	no	—
945	D₂₀	—	2	1	no	—
946	D₂₀	—	2	1	no	—
947	D₂₀	—	2	1	no	—
948	D₂₀	—	2	1	no	—
949	D₂₀	—	4	2	no	—
950	D₂₀	—	8	1	no	—
951	D₂₀	—	8	1	no	—
952	C₄×D₅	—	2	2	no	—
953	C₄×D₅	—	2	1	no	—
954	C₄×D₅	—	2	1	no	—
955	C₄×D₅	—	2	1	no	—
956	C₄×D₅	—	2	1	no	—
957	C₄×D₅	—	2	2	no	—
958	C₄×D₅	—	4	1	no	—
959	C₄×D₅	—	4	1	no	—
960	C₄×D₅	—	4	2	no	—
961	C₄×D₅	—	4	2	no	—
962	C₄×D₅	—	4	2	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	Dic₁₀	—	2	2	no	—
969	Dic₁₀	—	2	1	no	—
970	Dic₁₀	—	2	1	no	—
971	Dic₁₀	—	2	1	no	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	4	2	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	C₅×C₈	—	2	1	no	—
979	C₅×C₈	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	C₂×#41	—	5	1	no	—
985	C₂×#41	—	5	1	no	—
986	C₂×#41	—	10	1	no	—
987	C₂×#41	—	10	1	no	—
988	C₂²×D₄	—	5	1	no	—
989	C₂²×D₄	—	10	1	no	—
990	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
991	C₂³×C₄	—	2	1	no	—
992	C₂³×C₄	—	10	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×D₈	—	5	1	no	—
999	C₂×D₈	—	5	1	no	—
1000	C₂×D₈	—	5	1	no	—
1001	C₂²×C₈	—	5	1	no	—
1002	C₂²×C₈	—	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	—	10	1	no	—
1011	#127	—	5	1	no	—
1012	#126	—	10	1	no	—
1013	#126	—	10	1	no	—
1014	#126	—	10	1	no	—
1015	#126	—	10	1	no	—
1016	#126	—	10	1	no	—
1017	#126	—	10	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	2	1	no	—
1025	#125	—	5	1	no	—
1026	#125	—	5	1	no	—
1027	#125	—	5	1	no	—
1028	#125	—	5	1	no	—
1029	#125	—	5	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	—	10	1	no	—
1033	#125	—	10	1	no	—
1034	#125	—	10	1	no	—
1035	#125	—	10	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	1	no	—
1038	#125	C₂²×D₅	1	1	yes	characteristic
1039	#125	C₂²×D₅	1	1	yes	characteristic
1040	#125	C₂²×D₅	1	1	yes	characteristic
1041	#125	C₂²×D₅	1	1	yes	characteristic
1042	#124	—	5	1	no	—
1043	#124	—	5	1	no	—
1044	#124	—	5	1	no	—
1045	#124	—	10	1	no	—
1046	#124	—	10	1	no	—
1047	#123	—	10	1	no	—
1048	#123	—	10	1	no	—
1049	#123	—	10	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
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	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	C₂²⋊Q₈	—	5	1	no	—
1065	C₂²⋊Q₈	—	5	1	no	—
1066	C₂²⋊Q₈	—	5	1	no	—
1067	C₂²⋊Q₈	—	5	1	no	—
1068	C₂²⋊Q₈	—	5	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	—	5	1	no	—
1083	#121	—	5	1	no	—
1084	#121	—	5	1	no	—
1085	#121	—	5	1	no	—
1086	#121	—	5	1	no	—
1087	#121	—	5	1	no	—
1088	#121	—	5	1	no	—
1089	#121	—	10	1	no	—
1090	#121	—	10	1	no	—
1091	#121	—	10	1	no	—
1092	#121	—	10	1	no	—
1093	#121	—	10	1	no	—
1094	#121	—	10	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#120	—	10	1	no	—
1098	#120	—	10	1	no	—
1099	#120	—	10	1	no	—
1100	#120	—	10	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×D₄	—	2	1	no	—
1112	C₄×D₄	—	2	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	5	1	no	—
1115	C₄×D₄	—	5	1	no	—
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	10	1	no	—
1127	C₄×D₄	—	10	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	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	C₂²×D₅	1	1	yes	characteristic
1144	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1145	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1146	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1147	#117	—	5	1	no	—
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	5	1	no	—
1153	#117	—	10	1	no	—
1154	#117	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	C₂×C₄⋊C₄	—	2	1	no	—
1162	C₂×C₄⋊C₄	—	2	1	no	—
1163	C₂×C₄⋊C₄	—	5	1	no	—
1164	C₂×C₄⋊C₄	—	5	1	no	—
1165	C₂×C₄⋊C₄	—	5	1	no	—
1166	C₂×C₄⋊C₄	—	10	1	no	—
1167	C₂×C₄⋊C₄	—	10	1	no	—
1168	C₂×C₄⋊C₄	—	10	1	no	—
1169	C₂×C₄⋊C₄	—	10	1	no	—
1170	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1171	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1172	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1173	C₂×C₂²⋊C₄	—	2	1	no	—
1174	C₂×C₂²⋊C₄	—	10	1	no	—
1175	C₂×C₂²⋊C₄	—	10	1	no	—
1176	C₂×C₂²⋊C₄	—	10	1	no	—
1177	C₂×C₄²	—	5	1	no	—
1178	C₂×C₄²	—	5	1	no	—
1179	C₂×C₄²	—	10	1	no	—
1180	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
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	#107	C₂²×D₅	1	1	yes	characteristic
1190	#107	C₂²×D₅	1	1	yes	characteristic
1191	#107	C₂²×D₅	1	1	yes	characteristic
1192	#107	C₂²×D₅	1	1	yes	characteristic
1193	#106	—	5	1	no	—
1194	#106	—	5	1	no	—
1195	#106	—	5	1	no	—
1196	#106	—	5	1	no	—
1197	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	C₂²×D₅	1	1	yes	characteristic
1202	#106	C₂²×D₅	1	1	yes	characteristic
1203	#106	C₂²×D₅	1	1	yes	characteristic
1204	#106	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1212	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1213	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
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	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	C₄×C₈	—	5	1	no	—
1254	C₄×C₈	—	5	1	no	—
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	—	2	2	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	—	8	4	no	—
1268	C₂²×C₅	C₂×#135	1	2	yes	—
1269	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1270	C₂×D₅	—	2	1	no	—
1271	C₂×D₅	—	2	1	no	—
1272	C₂×D₅	—	2	1	no	—
1273	C₂×D₅	—	2	1	no	—
1274	C₂×D₅	—	2	1	no	—
1275	C₂×D₅	—	4	1	no	—
1276	C₂×D₅	—	4	1	no	—
1277	C₂×D₅	—	4	1	no	—
1278	C₂×D₅	—	4	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	8	4	no	—
1282	C₂×D₅	C₂×#135	1	2	yes	—
1283	C₄×C₅	—	2	1	no	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1295	C₄×C₅	#585	1	1	yes	characteristic
1296	Dic₅	—	2	1	no	—
1297	Dic₅	—	2	1	no	—
1298	Dic₅	—	2	1	no	—
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	2	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	C₂×#135	1	2	yes	—
1308	C₂⁴	—	2	1	no	—
1309	C₂⁴	—	10	1	no	—
1310	#41	—	10	4	no	—
1311	#41	—	10	2	no	—
1312	#41	—	20	4	no	—
1313	#41	—	20	1	no	—
1314	#41	—	40	2	no	—
1315	C₂×Q₈	—	5	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×D₄	—	2	2	no	—
1322	C₂×D₄	—	2	1	no	—
1323	C₂×D₄	—	4	1	no	—
1324	C₂×D₄	—	5	1	no	—
1325	C₂×D₄	—	5	1	no	—
1326	C₂×D₄	—	5	1	no	—
1327	C₂×D₄	—	5	1	no	—
1328	C₂×D₄	—	5	1	no	—
1329	C₂×D₄	—	10	1	no	—
1330	C₂×D₄	—	10	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	2	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	20	1	no	—
1342	C₂×D₄	—	20	4	no	—
1343	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1344	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1345	C₂²×C₄	—	2	1	no	—
1346	C₂²×C₄	—	2	1	no	—
1347	C₂²×C₄	—	2	1	no	—
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	5	1	no	—
1353	C₂²×C₄	—	5	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	8	2	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	40	2	no	—
1371	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1372	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1374	Q₁₆	—	20	1	no	—
1375	SD₁₆	—	10	2	no	—
1376	SD₁₆	—	20	1	no	—
1377	SD₁₆	—	20	1	no	—
1378	SD₁₆	—	20	1	no	—
1379	D₈	—	10	2	no	—
1380	D₈	—	20	1	no	—
1381	D₈	—	20	1	no	—
1382	C₂×C₈	—	4	1	no	—
1383	C₂×C₈	—	4	1	no	—
1384	C₂×C₈	—	5	1	no	—
1385	C₂×C₈	—	5	1	no	—
1386	C₂×C₈	—	5	1	no	—
1387	C₂×C₈	—	5	1	no	—
1388	C₂×C₈	—	20	1	no	—
1389	C₂×C₈	—	20	1	no	—
1390	C₂×C₈	—	20	1	no	—
1391	C₂×C₈	—	20	1	no	—
1392	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1393	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	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	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	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	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1444	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	5	1	no	—
1454	C₂²⋊C₄	—	5	1	no	—
1455	C₂²⋊C₄	—	5	1	no	—
1456	C₂²⋊C₄	—	5	1	no	—
1457	C₂²⋊C₄	—	5	1	no	—
1458	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₄²	—	5	1	no	—
1488	C₄²	—	5	1	no	—
1489	C₄²	—	5	1	no	—
1490	C₄²	—	5	1	no	—
1491	C₄²	—	5	1	no	—
1492	C₄²	—	5	1	no	—
1493	C₄²	—	10	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	D₄×D₅	1	1	yes	characteristic
1502	C₄²	D₄×D₅	1	1	yes	characteristic
1503	C₄²	C₂³×D₅	1	1	yes	characteristic
1504	C₄²	C₂³×D₅	1	1	yes	characteristic
1505	C₂×C₅	—	2	2	no	—
1506	C₂×C₅	—	4	2	no	—
1507	C₂×C₅	—	8	1	no	—
1508	C₂×C₅	#3489	1	1	yes	characteristic
1509	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1510	C₂×C₅	#3585	1	1	yes	characteristic
1511	D₅	—	2	2	no	—
1512	D₅	—	4	1	no	—
1513	D₅	—	8	1	no	—
1514	D₅	—	8	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	4	2	no	—
1518	C₂³	—	4	2	no	—
1519	C₂³	—	5	1	no	—
1520	C₂³	—	5	1	no	—
1521	C₂³	—	8	1	no	—
1522	C₂³	—	10	1	no	—
1523	C₂³	—	10	1	no	—
1524	C₂³	—	20	2	no	—
1525	C₂³	—	20	2	no	—
1526	C₂³	—	40	1	no	—
1527	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1528	Q₈	—	10	2	no	—
1529	Q₈	—	10	1	no	—
1530	Q₈	—	10	1	no	—
1531	Q₈	—	10	1	no	—
1532	Q₈	—	10	1	no	—
1533	Q₈	—	20	2	no	—
1534	Q₈	—	40	1	no	—
1535	Q₈	—	40	1	no	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	4	2	no	—
1540	D₄	—	5	4	no	—
1541	D₄	—	10	2	no	—
1542	D₄	—	10	2	no	—
1543	D₄	—	10	1	no	—
1544	D₄	—	10	1	no	—
1545	D₄	—	10	1	no	—
1546	D₄	—	10	1	no	—
1547	D₄	—	20	2	no	—
1548	D₄	—	20	2	no	—
1549	D₄	—	20	2	no	—
1550	D₄	—	20	2	no	—
1551	D₄	—	20	2	no	—
1552	D₄	—	20	2	no	—
1553	D₄	—	20	2	no	—
1554	D₄	—	40	1	no	—
1555	D₄	—	40	1	no	—
1556	D₄	—	40	1	no	—
1557	D₄	—	40	1	no	—
1558	D₄	#4147	1	2	yes	—
1559	C₂×C₄	—	2	2	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	4	1	no	—
1569	C₂×C₄	—	4	2	no	—
1570	C₂×C₄	—	4	2	no	—
1571	C₂×C₄	—	4	2	no	—
1572	C₂×C₄	—	5	1	no	—
1573	C₂×C₄	—	5	1	no	—
1574	C₂×C₄	—	5	1	no	—
1575	C₂×C₄	—	5	1	no	—
1576	C₂×C₄	—	5	1	no	—
1577	C₂×C₄	—	5	1	no	—
1578	C₂×C₄	—	8	1	no	—
1579	C₂×C₄	—	8	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	10	2	no	—
1583	C₂×C₄	—	10	2	no	—
1584	C₂×C₄	—	10	1	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	10	1	no	—
1592	C₂×C₄	—	10	1	no	—
1593	C₂×C₄	—	10	1	no	—
1594	C₂×C₄	—	20	1	no	—
1595	C₂×C₄	—	20	1	no	—
1596	C₂×C₄	—	20	2	no	—
1597	C₂×C₄	—	20	2	no	—
1598	C₂×C₄	—	20	2	no	—
1599	C₂×C₄	—	20	2	no	—
1600	C₂×C₄	—	20	2	no	—
1601	C₂×C₄	—	40	1	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	—	40	1	no	—
1604	C₂×C₄	—	40	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	—	40	1	no	—
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	10	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₈	—	10	1	no	—
1621	C₅	#62103	1	1	yes	characteristic, complemented, Sylow
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	2	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	5	2	no	—
1631	C₂²	—	8	4	no	—
1632	C₂²	—	10	1	no	—
1633	C₂²	—	10	1	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	10	1	no	—
1636	C₂²	—	10	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	20	1	no	—
1641	C₂²	—	20	1	no	—
1642	C₂²	—	20	1	no	—
1643	C₂²	—	40	4	no	—
1644	C₂²	D₅×#135	1	2	yes	—
1645	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	5	2	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	10	1	no	—
1661	C₄	—	10	1	no	—
1662	C₄	—	10	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	—	20	1	no	—
1668	C₄	—	20	1	no	—
1669	C₄	C₂×#4147	1	1	yes	characteristic
1670	C₄	#66283	1	1	yes	characteristic
1671	C₂	—	2	2	no	—
1672	C₂	—	4	2	no	—
1673	C₂	—	8	1	no	—
1674	C₂	—	10	2	no	—
1675	C₂	—	20	1	no	—
1676	C₂	—	40	1	no	—
1677	C₂	—	40	1	no	—
1678	C₂	#10617886	1	1	yes	characteristic
1679	C₂	C₂×D₅×#135	1	1	yes	characteristic
1680	C₂	#10619093	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₂×C₅×#478	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	C₂×#478	D₅
hypocenter	C₅	#62103
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₂×#478

Complements

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

N	H ≅ G/N	type
1. #10618000	C₂	semidirect
2. #10617686	C₂	semidirect
3. C₂×C₅×#478	C₂	semidirect
4. #10614749	C₂	semidirect
5. #10614040	C₂	semidirect
6. #10612926	C₂	semidirect
7. #10612925	C₂	semidirect
8. #10612918	C₂	semidirect
9. #10612917	C₂	semidirect
10. #10612911	C₂	semidirect
11. #10612904	C₂	semidirect
12. #10612903	C₂	semidirect
13. #10612896	C₂	semidirect
14. D₅×#478	C₂	semidirect
15. #10612888	C₂	semidirect
16. #10612887	C₂	semidirect
17. #10612882	C₂	semidirect
18. #10612881	C₂	semidirect
19. #10612879	C₂	semidirect
20. #10612872	C₂	semidirect
21. #10612871	C₂	semidirect
22. #10610888	C₂	semidirect
23. #10610887	C₂	semidirect
24. #10610856	C₂	semidirect
25. #10610855	C₂	semidirect
26. #10610761	C₂	semidirect
27. #10610744	C₂	semidirect
28. #10610491	C₂	semidirect
29. #10610490	C₂	semidirect
30. #10610489	C₂	semidirect
31. #10610488	C₂	semidirect
32. C₂×C₅×#125	C₂²	semidirect
39. #66029	C₂²	semidirect
40. #66028	C₂²	semidirect
44. #66025	C₂²	semidirect
45. #66025	C₂²	semidirect
46. #66024	C₂²	semidirect
47. #66022	C₂²	semidirect
48. D₅×#125	C₂²	semidirect
49. #66019	C₂²	semidirect
64. #65848	C₂²	semidirect
66. #65847	C₂²	semidirect
75. #65813	C₂²	semidirect
81. C₅×#478	C₂²	semidirect
82. C₅×#478	C₂²	semidirect
83. C₅×#478	C₂²	semidirect
84. C₅×#478	C₂²	semidirect
85. C₂×C₅×#107	C₂²	semidirect
86. C₂×C₅×#106	C₂²	semidirect
87. C₂×C₅×C₄⋊C₈	C₂²	semidirect
92. #65405	C₂²	semidirect
95. #65403	C₂²	semidirect
98. C₈×C₂²⋊D₅	C₂²	semidirect
99. C₈×C₂²⋊D₅	C₂²	semidirect
100. #65357	C₂²	semidirect
101. #65357	C₂²	semidirect
102. #65355	C₂²	semidirect
103. #65355	C₂²	semidirect
104. #65353	C₂²	semidirect
105. #65353	C₂²	semidirect
106. #65352	C₂²	semidirect
107. #65352	C₂²	semidirect
109. C₄×#687	C₂²	semidirect
111. #65305	C₂²	semidirect
113. C₄×#686	C₂²	semidirect
115. #65298	C₂²	semidirect
116. #65260	C₂²	semidirect
117. #65259	C₂²	semidirect
118. #65259	C₂²	semidirect
120. #65257	C₂²	semidirect
122. #65214	C₂²	semidirect
123. #65180	C₂²	semidirect
124. #65180	C₂²	semidirect
125. #65176	C₂²	semidirect
126. #65174	C₂²	semidirect
127. #65174	C₂²	semidirect
128. #65173	C₂²	semidirect
129. #65173	C₂²	semidirect
130. #65172	C₂²	semidirect
131. #65169	C₂²	semidirect
132. D₅×#107	C₂²	semidirect
133. #65167	C₂²	semidirect
134. #65164	C₂²	semidirect
135. #65164	C₂²	semidirect
136. #65163	C₂²	semidirect
137. #65162	C₂²	semidirect
138. #65161	C₂²	semidirect
139. #65160	C₂²	semidirect
140. #65159	C₂²	semidirect
141. #65156	C₂²	semidirect
142. #65155	C₂²	semidirect
143. #65153	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65152	C₂²	semidirect
146. #65151	C₂²	semidirect
147. #65149	C₂²	semidirect
148. D₅×#106	C₂²	semidirect
149. #65147	C₂²	semidirect
150. #65146	C₂²	semidirect
151. #65144	C₂²	semidirect
152. #65143	C₂²	semidirect
153. #65141	C₂²	semidirect
154. #65141	C₂²	semidirect
155. #65136	C₂²	semidirect
156. #65136	C₂²	semidirect
157. #65134	C₂²	semidirect
158. #65134	C₂²	semidirect
159. #65133	C₂²	semidirect
160. #65133	C₂²	semidirect
161. #65123	C₂²	semidirect
162. #65123	C₂²	semidirect
163. #65122	C₂²	semidirect
164. #65122	C₂²	semidirect
165. D₅×C₄⋊C₈	C₂²	semidirect
166. D₅×C₄⋊C₈	C₂²	semidirect
167. #65119	C₂²	semidirect
168. #65119	C₂²	semidirect
169. #65118	C₂²	semidirect
170. #65118	C₂²	semidirect
171. #65076	C₂²	semidirect
173. #65073	C₂²	semidirect
176. #65068	C₂²	semidirect
178. #65067	C₂²	semidirect
182. #65064	C₂²	semidirect
189. #65057	C₂²	semidirect
190. #65057	C₂²	semidirect
191. #65056	C₂²	semidirect
508. C₂×#478	D₅	semidirect
743. C₂×#125	C₂×D₅	semidirect
802. #478	C₂×D₅	semidirect
803. #478	C₂×D₅	semidirect
804. #478	C₂×D₅	semidirect
805. #478	C₂×D₅	semidirect
866. C₂×#107	C₂×D₅	semidirect
868. C₂×#106	C₂×D₅	semidirect
871. C₂×C₄⋊C₈	C₂×D₅	semidirect
1621. C₅	#62103	semidirect

Maximal subgroups

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

subgroup	index
#10618000	2
#10617686	2
C₂×C₅×#478	2
#10614749	2
#10614040	2
#10612926	2
#10612925	2
#10612918	2
#10612917	2
#10612911	2
#10612904	2
#10612903	2
#10612896	2
D₅×#478	2
#10612888	2
#10612887	2
#10612882	2
#10612881	2
#10612879	2
#10612872	2
#10612871	2
#10610888	2
#10610887	2
#10610856	2
#10610855	2
#10610761	2
#10610744	2
#10610491	2
#10610490	2
#10610489	2
#10610488	2
#62103	5