Subgroups — #12982003

Order 1280.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618927	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618893	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3377	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615424	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615410	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613481	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613460	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613433	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613397	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613387	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613359	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612985	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612937	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612925	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612877	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612857	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612828	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612361	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612361	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612305	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612301	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612233	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612192	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611702	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611670	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611573	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611563	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611530	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611508	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611469	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4065	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic, complemented
33	C₅×#556	C₂²	1	1	yes	characteristic
34	C₂×#4065	C₂²	1	1	yes	characteristic
35	C₂×#4065	C₂²	1	1	yes	characteristic
36	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
37	#66068	—	2	1	no	—
38	#66068	C₂²	1	1	yes	characteristic
39	#66067	—	2	1	no	—
40	#66067	C₂²	1	1	yes	characteristic, complemented
41	#66065	C₂²	1	1	yes	characteristic
42	#66060	C₂²	1	1	yes	characteristic
43	#66043	—	2	1	no	—
44	#66042	—	2	1	no	—
45	#66038	—	2	1	no	—
46	D₅×#126	—	2	1	no	—
47	#66032	—	2	1	no	—
48	#66032	C₂²	1	1	yes	characteristic
49	#66029	—	2	1	no	—
50	#66029	C₂²	1	1	yes	characteristic
51	#66028	—	2	1	no	—
52	#66028	C₂²	1	1	yes	characteristic, complemented
53	#66025	—	2	1	no	—
54	#66025	C₂²	1	1	yes	characteristic, complemented
55	#66016	C₂²	1	1	yes	characteristic
56	#66014	C₂²	1	1	yes	characteristic
57	#66010	C₂²	1	1	yes	characteristic
58	#66010	C₂²	1	1	yes	characteristic
59	#65972	—	2	1	no	—
60	#65971	—	2	1	no	—
61	#65919	—	2	1	no	—
62	#65919	C₂²	1	1	yes	characteristic, complemented
63	#65918	C₂²	1	1	yes	characteristic
64	#65915	C₂²	1	1	yes	characteristic
65	#65914	—	2	1	no	—
66	#65914	C₂²	1	1	yes	characteristic
67	#65913	C₂²	1	1	yes	characteristic
68	#65911	C₂²	1	1	yes	characteristic, complemented
69	#65910	C₂²	1	1	yes	characteristic
70	#65910	C₂²	1	1	yes	characteristic
71	#65908	C₂²	1	1	yes	characteristic
72	#65908	C₂²	1	1	yes	characteristic, complemented
73	C₄×#713	C₂²	1	1	yes	characteristic
74	C₄×#713	C₂²	1	1	yes	characteristic, complemented
75	#65906	C₂²	1	1	yes	characteristic
76	#65892	C₂²	1	1	yes	characteristic
77	#65879	C₂²	1	1	yes	characteristic
78	#65862	—	2	1	no	—
79	#65861	—	2	1	no	—
80	C₅×#491	C₂²	1	1	yes	characteristic, complemented
81	C₅×#489	C₂²	1	1	yes	characteristic
82	C₅×#488	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#478	C₂²	1	1	yes	characteristic
85	C₅×#477	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#464	C₂²	1	1	yes	characteristic
88	C₅×#462	C₂²	1	1	yes	characteristic, complemented
89	C₅×#446	C₂²	1	1	yes	characteristic, complemented
90	C₅×#441	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic
92	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	#65476	C₂²	1	1	yes	characteristic, complemented
94	#65476	C₂²	1	1	yes	characteristic, complemented
95	#65475	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic
97	#65473	C₂²	1	1	yes	characteristic, complemented
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
99	#65461	C₂²	1	1	yes	characteristic
100	#65461	C₂²	1	1	yes	characteristic
101	#65453	C₂²	1	1	yes	characteristic
102	#65379	C₂²	1	1	yes	characteristic, complemented
103	#65376	C₂²	1	1	yes	characteristic
104	#65374	C₂²	1	1	yes	characteristic, complemented
105	#65368	C₂²	1	1	yes	characteristic, complemented
106	#65355	C₂²	1	1	yes	characteristic
107	#65355	C₂²	1	1	yes	characteristic
108	#65353	C₂²	1	1	yes	characteristic, complemented
109	#65353	C₂²	1	1	yes	characteristic, complemented
110	#65348	C₂²	1	1	yes	characteristic
111	#65348	C₂²	1	1	yes	characteristic
112	#65346	C₂²	1	1	yes	characteristic
113	#65346	C₂²	1	1	yes	characteristic
114	#65317	C₂²	1	1	yes	characteristic, complemented
115	#65317	C₂²	1	1	yes	characteristic, complemented
116	C₄×#688	C₂²	1	1	yes	characteristic
117	C₄×#688	C₂²	1	1	yes	characteristic
118	C₄×#688	C₂²	1	1	yes	characteristic
119	C₄×#688	C₂²	1	1	yes	characteristic, complemented
120	C₄×#688	C₂²	1	1	yes	characteristic, complemented
121	Q₈×#168	C₂²	1	1	yes	characteristic, complemented
122	#65311	C₂²	1	1	yes	characteristic, complemented
123	#65311	C₂²	1	1	yes	characteristic, complemented
124	#65310	C₂²	1	1	yes	characteristic, complemented
125	C₄×#687	C₂²	1	1	yes	characteristic
126	#65304	C₂²	1	1	yes	characteristic
127	#65178	C₂²	1	1	yes	characteristic
128	#65174	C₂²	1	1	yes	characteristic
129	#65174	C₂²	1	1	yes	characteristic, complemented
130	#65173	C₂²	1	1	yes	characteristic, complemented
131	#65171	C₂²	1	1	yes	characteristic, complemented
132	#65169	C₂²	1	1	yes	characteristic
133	#65169	C₂²	1	1	yes	characteristic, complemented
134	#65161	C₂²	1	1	yes	characteristic
135	#65158	C₂²	1	1	yes	characteristic
136	#65156	C₂²	1	1	yes	characteristic, complemented
137	#65155	C₂²	1	1	yes	characteristic
138	D₅×#106	C₂²	1	1	yes	characteristic, complemented
139	#65136	C₂²	1	1	yes	characteristic, complemented
140	#65135	C₂²	1	1	yes	characteristic, complemented
141	#65133	C₂²	1	1	yes	characteristic
142	#65133	C₂²	1	1	yes	characteristic
143	#65132	C₂²	1	1	yes	characteristic
144	#65129	C₂²	1	1	yes	characteristic
145	#65129	C₂²	1	1	yes	characteristic, complemented
146	#65124	C₂²	1	1	yes	characteristic, complemented
147	#65123	C₂²	1	1	yes	characteristic
148	#65123	C₂²	1	1	yes	characteristic
149	#65123	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65106	C₂²	1	1	yes	characteristic, complemented
152	#65106	C₂²	1	1	yes	characteristic, complemented
153	#65105	C₂²	1	1	yes	characteristic, complemented
154	#65104	C₂²	1	1	yes	characteristic
155	#65103	C₂²	1	1	yes	characteristic
156	#65103	C₂²	1	1	yes	characteristic, complemented
157	#65102	C₂²	1	1	yes	characteristic, complemented
158	#65101	C₂²	1	1	yes	characteristic
159	#65101	C₂²	1	1	yes	characteristic
160	#65100	C₂²	1	1	yes	characteristic
161	#65100	C₂²	1	1	yes	characteristic
162	#65099	C₂²	1	1	yes	characteristic
163	#65099	C₂²	1	1	yes	characteristic
164	#65098	C₂²	1	1	yes	characteristic, complemented
165	#65096	C₂²	1	1	yes	characteristic
166	#65096	C₂²	1	1	yes	characteristic
167	#65096	C₂²	1	1	yes	characteristic, complemented
168	#65096	C₂²	1	1	yes	characteristic, complemented
169	#65093	C₂²	1	1	yes	characteristic
170	#65093	C₂²	1	1	yes	characteristic, complemented
171	#65092	C₂²	1	1	yes	characteristic
172	#65092	C₂²	1	1	yes	characteristic, complemented
173	#65091	C₂²	1	1	yes	characteristic
174	#65079	C₂²	1	1	yes	characteristic, complemented
175	#65078	C₂²	1	1	yes	characteristic, complemented
176	#65077	C₂²	1	1	yes	characteristic
177	#65077	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65074	C₂²	1	1	yes	characteristic
180	#65071	C₂²	1	1	yes	characteristic
181	#65068	C₂²	1	1	yes	characteristic
182	#65067	C₂²	1	1	yes	characteristic
183	#65067	C₂²	1	1	yes	characteristic
184	#65064	C₂²	1	1	yes	characteristic
185	#65063	C₂²	1	1	yes	characteristic
186	#65062	C₂²	1	1	yes	characteristic
187	#65062	C₂²	1	1	yes	characteristic
188	#65059	C₂²	1	1	yes	characteristic
189	#65047	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65003	C₂²	1	1	yes	characteristic, complemented
192	#65002	C₂²	1	1	yes	characteristic, complemented
193	#65000	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic
195	#64997	C₂²	1	1	yes	characteristic
196	#64997	C₂²	1	1	yes	characteristic, complemented
197	#64995	C₂²	1	1	yes	characteristic
198	#64995	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×D₄₀	C₂²	1	1	yes	characteristic
201	#64977	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic, complemented
203	#61486	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	—	2	1	no	—
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#126	—	2	1	no	—
217	C₅×#126	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	—	2	1	no	—
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#125	C₂³	1	1	yes	characteristic
222	C₅×#124	C₂³	1	1	yes	characteristic
223	C₅×#124	C₂³	1	1	yes	characteristic
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₄×C₅×Q₈	—	2	1	no	—
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₅×#117	—	2	1	no	—
234	#4093	—	2	1	no	—
235	#4093	—	2	1	no	—
236	#4093	—	2	1	no	—
237	#4093	—	2	1	no	—
238	#4093	D₄	1	1	yes	characteristic
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	D₄	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	#4092	C₂³	1	1	yes	characteristic
245	#4092	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	C₂×#688	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	C₂×#688	C₂³	1	1	yes	characteristic
256	#4084	C₂³	1	1	yes	characteristic
257	#4084	C₂³	1	1	yes	characteristic
258	D₄×Dic₅	C₂³	1	1	yes	characteristic
259	C₂×#687	C₂³	1	1	yes	characteristic
260	C₂×#686	C₂³	1	1	yes	characteristic
261	C₂×#686	C₂³	1	1	yes	characteristic
262	#4075	—	2	1	no	—
263	C₄×C₂²⋊D₅	—	2	1	no	—
264	C₄×C₂²⋊D₅	—	2	1	no	—
265	C₂×#685	—	2	1	no	—
266	#4065	—	2	4	no	—
267	#4065	—	2	4	no	—
268	D₅×SD₁₆	—	2	4	no	—
269	C₂×D₄₀	C₂³	1	1	yes	characteristic
270	C₂×D₄₀	C₂³	1	1	yes	characteristic
271	C₂×#677	C₂³	1	1	yes	characteristic
272	C₂×#676	C₂³	1	1	yes	characteristic
273	C₂×#676	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
276	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
277	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
278	#4044	—	2	1	no	—
279	#4044	—	2	1	no	—
280	#4044	—	2	1	no	—
281	#4044	—	2	1	no	—
282	#4044	—	2	1	no	—
283	#4044	—	2	1	no	—
284	#4044	—	2	1	no	—
285	#4044	—	2	1	no	—
286	#4044	D₄	1	1	yes	characteristic
287	#4044	D₄	1	1	yes	characteristic
288	#4043	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	C₂³	1	1	yes	characteristic
291	#4043	C₂³	1	1	yes	characteristic
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4041	—	2	1	no	—
295	#4041	—	2	1	no	—
296	#4041	—	2	1	no	—
297	#4041	—	2	1	no	—
298	#4041	—	2	1	no	—
299	#4041	—	2	1	no	—
300	#4041	—	2	1	no	—
301	#4041	—	2	1	no	—
302	#4041	—	2	1	no	—
303	#4041	D₄	1	1	yes	characteristic
304	#4041	C₂³	1	1	yes	characteristic
305	#4041	C₂³	1	1	yes	characteristic
306	#4041	C₂³	1	1	yes	characteristic
307	#4041	C₂³	1	1	yes	characteristic
308	#4040	—	2	1	no	—
309	#4040	—	2	1	no	—
310	#4040	—	2	1	no	—
311	#4040	—	2	1	no	—
312	#4040	—	2	1	no	—
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4040	—	2	1	no	—
316	#4040	—	2	1	no	—
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4040	D₄	1	1	yes	characteristic
320	#4040	D₄	1	1	yes	characteristic
321	#4039	—	2	1	no	—
322	#4039	—	2	1	no	—
323	#4039	—	2	1	no	—
324	#4039	—	2	1	no	—
325	#4039	—	2	1	no	—
326	#4039	—	2	1	no	—
327	#4039	—	2	1	no	—
328	#4039	C₂³	1	1	yes	characteristic
329	#4039	C₂³	1	1	yes	characteristic
330	#4039	C₂³	1	1	yes	characteristic
331	#4038	—	2	1	no	—
332	#4038	—	2	1	no	—
333	#4038	—	2	1	no	—
334	#4038	—	2	1	no	—
335	#4038	—	2	1	no	—
336	#4038	—	2	1	no	—
337	#4038	C₂³	1	1	yes	characteristic
338	#4038	C₂³	1	1	yes	characteristic
339	#4038	C₂³	1	1	yes	characteristic
340	#4038	C₂³	1	1	yes	characteristic
341	D₅×C₄⋊C₄	—	2	1	no	—
342	D₅×C₄⋊C₄	—	2	1	no	—
343	D₅×C₄⋊C₄	—	2	1	no	—
344	D₅×C₄⋊C₄	—	2	1	no	—
345	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
346	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
347	#4036	—	2	1	no	—
348	#4036	D₄	1	1	yes	characteristic
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4033	—	2	1	no	—
353	#4033	C₂³	1	1	yes	characteristic
354	#4032	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4030	—	2	1	no	—
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4029	—	2	1	no	—
361	#4029	—	2	1	no	—
362	#4028	—	2	1	no	—
363	#4028	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	—	2	1	no	—
366	D₅×C₂²⋊C₄	—	2	1	no	—
367	D₅×C₂²⋊C₄	—	2	1	no	—
368	D₅×C₂²⋊C₄	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4025	—	2	1	no	—
371	#4025	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4023	—	2	1	no	—
374	#4022	—	2	1	no	—
375	#4021	—	2	1	no	—
376	#4021	—	2	1	no	—
377	#4021	—	2	1	no	—
378	#4021	C₂³	1	1	yes	characteristic
379	#4021	C₂³	1	1	yes	characteristic
380	#4020	—	2	1	no	—
381	#4020	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	—	2	1	no	—
383	C₄×D₂₀	—	2	1	no	—
384	C₄×D₂₀	—	2	1	no	—
385	C₄×D₂₀	—	2	1	no	—
386	C₄×D₂₀	—	2	1	no	—
387	C₄×D₂₀	—	2	1	no	—
388	C₄×D₂₀	—	2	1	no	—
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	C₄×D₂₀	C₂³	1	1	yes	characteristic
393	C₄×D₂₀	C₂³	1	1	yes	characteristic
394	C₄×D₂₀	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	#4018	—	2	1	no	—
398	#4018	—	2	1	no	—
399	#4018	—	2	1	no	—
400	#4018	—	2	1	no	—
401	#4018	C₂³	1	1	yes	characteristic
402	#4018	C₂³	1	1	yes	characteristic
403	C₄²×D₅	—	2	1	no	—
404	C₄²×D₅	—	2	1	no	—
405	C₄²×D₅	C₂³	1	1	yes	characteristic
406	#4016	C₂³	1	1	yes	characteristic
407	#4016	C₂³	1	1	yes	characteristic
408	#4015	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	—	2	1	no	—
410	C₄×Dic₁₀	—	2	1	no	—
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#107	C₂³	1	1	yes	characteristic
413	C₅×#107	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#103	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×#102	C₂³	1	1	yes	characteristic
427	C₅×#102	C₂³	1	1	yes	characteristic
428	C₅×#97	C₂³	1	1	yes	characteristic
429	C₅×#97	C₂³	1	1	yes	characteristic
430	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3953	C₂³	1	1	yes	characteristic
443	#3953	C₂³	1	1	yes	characteristic
444	#3952	C₂³	1	1	yes	characteristic
445	#3952	C₂³	1	1	yes	characteristic
446	#3952	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3950	C₂³	1	1	yes	characteristic
452	#3949	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3947	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	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	#3940	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	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	C₄×#168	C₂³	1	1	yes	characteristic
480	C₄×#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3524	—	5	1	no	—
483	#3521	—	5	1	no	—
484	#3394	—	5	1	no	—
485	#3381	—	5	1	no	—
486	#3377	D₅	1	1	yes	characteristic, complemented
487	#3370	—	5	1	no	—
488	#3340	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3337	—	5	1	no	—
491	#3327	—	5	1	no	—
492	#3322	—	5	1	no	—
493	#3319	—	5	1	no	—
494	#3315	—	5	1	no	—
495	#3313	—	5	1	no	—
496	#3309	—	5	1	no	—
497	#3284	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3282	—	5	1	no	—
500	#3174	—	5	1	no	—
501	#3173	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3127	—	5	1	no	—
504	#3124	—	5	1	no	—
505	#3124	—	5	1	no	—
506	#3122	—	5	1	no	—
507	#3111	—	5	1	no	—
508	#3111	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2952	—	5	1	no	—
511	#2949	—	5	1	no	—
512	C₄×#135	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂×C₂²⋊D₅	—	2	1	no	—
522	C₂×C₂²⋊D₅	—	2	1	no	—
523	C₂×C₂²⋊D₅	—	2	1	no	—
524	C₂²×Dic₅	—	2	1	no	—
525	#713	—	2	2	no	—
526	#713	—	2	2	no	—
527	#713	—	2	2	no	—
528	#713	—	2	2	no	—
529	#713	—	4	1	no	—
530	#713	—	4	1	no	—
531	#713	—	4	1	no	—
532	#713	—	4	1	no	—
533	Q₈×D₅	—	2	2	no	—
534	Q₈×D₅	—	4	1	no	—
535	D₄×D₅	—	2	2	no	—
536	D₄×D₅	—	4	1	no	—
537	C₂×D₂₀	—	2	1	no	—
538	C₂×D₂₀	—	2	1	no	—
539	C₂×D₂₀	—	2	1	no	—
540	C₂×D₂₀	—	2	1	no	—
541	C₂×D₂₀	—	2	1	no	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	—	2	1	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	—	2	1	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
548	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
549	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
550	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
572	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₅×Q₁₆	—	2	2	no	—
577	C₅×Q₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	2	2	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₄²×C₅	—	2	1	no	—
608	C₄²×C₅	—	2	1	no	—
609	C₄²×C₅	—	2	1	no	—
610	C₄²×C₅	—	2	1	no	—
611	C₄²×C₅	—	2	1	no	—
612	C₄²×C₅	C₂⁴	1	1	yes	characteristic
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
614	C₄²×C₅	C₂⁴	1	1	yes	characteristic
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	#689	—	4	1	no	—
619	#689	—	4	1	no	—
620	#688	—	2	2	no	—
621	#688	—	2	2	no	—
622	#688	—	4	1	no	—
623	#688	—	4	1	no	—
624	#688	#41	1	4	yes	—
625	#687	—	2	2	no	—
626	#686	—	4	1	no	—
627	#686	—	4	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	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	C₂×D₄	1	1	yes	characteristic
655	#685	C₂×D₄	1	1	yes	characteristic
656	#685	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	#685	C₂×D₄	1	1	yes	characteristic
660	#685	C₂×D₄	1	1	yes	characteristic
661	#685	C₂×D₄	1	1	yes	characteristic
662	#685	C₂×D₄	1	1	yes	characteristic
663	#685	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
673	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	#683	C₂×D₄	1	1	yes	characteristic
692	#683	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	C₂×#168	C₂⁴	1	1	yes	characteristic
708	C₂×#168	C₂⁴	1	1	yes	characteristic
709	D₄₀	—	2	2	no	—
710	D₄₀	—	2	2	no	—
711	#677	—	2	2	no	—
712	#676	—	4	1	no	—
713	#676	—	4	1	no	—
714	C₈×D₅	—	2	2	no	—
715	C₈×D₅	—	2	2	no	—
716	C₈×D₅	—	2	2	no	—
717	C₈×D₅	—	4	1	no	—
718	C₂×#135	—	5	1	no	—
719	C₂×#135	—	5	1	no	—
720	C₂²×SD₁₆	—	5	1	no	—
721	#559	—	5	1	no	—
722	#559	—	10	1	no	—
723	#557	C₂×D₅	1	1	yes	characteristic, complemented
724	#556	—	5	1	no	—
725	#556	C₂×D₅	1	1	yes	characteristic
726	#555	—	5	1	no	—
727	#555	—	10	1	no	—
728	#554	—	5	1	no	—
729	#553	—	5	1	no	—
730	#553	—	5	1	no	—
731	#553	—	10	1	no	—
732	#553	—	10	1	no	—
733	#552	—	5	1	no	—
734	#552	—	5	1	no	—
735	#552	—	10	1	no	—
736	#552	—	10	1	no	—
737	#551	—	10	1	no	—
738	#551	—	10	1	no	—
739	#550	—	5	1	no	—
740	#548	—	5	1	no	—
741	#548	—	5	1	no	—
742	#547	—	5	1	no	—
743	#546	—	5	1	no	—
744	#546	—	5	1	no	—
745	#542	—	5	1	no	—
746	#542	—	5	1	no	—
747	#542	—	10	1	no	—
748	#541	—	5	1	no	—
749	#540	—	5	1	no	—
750	#540	—	10	1	no	—
751	#539	—	10	1	no	—
752	#538	—	10	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#529	—	10	1	no	—
759	C₂×#126	—	10	1	no	—
760	#520	—	5	1	no	—
761	#520	—	5	1	no	—
762	#519	—	5	1	no	—
763	#518	—	5	1	no	—
764	C₄×#41	—	5	1	no	—
765	C₄×#41	—	5	1	no	—
766	#499	—	5	1	no	—
767	#499	—	5	1	no	—
768	#498	—	5	1	no	—
769	#495	—	5	1	no	—
770	#495	—	5	1	no	—
771	#492	—	5	1	no	—
772	#491	C₂×D₅	1	1	yes	characteristic, complemented
773	#490	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	C₂×D₅	1	1	yes	characteristic
776	#488	—	5	1	no	—
777	#488	C₂×D₅	1	1	yes	characteristic
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#484	—	5	1	no	—
783	#484	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#480	—	5	1	no	—
789	#480	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	C₂×D₅	1	1	yes	characteristic, complemented
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	C₂×D₅	1	1	yes	characteristic
798	#477	—	5	1	no	—
799	#477	C₂×D₅	1	1	yes	characteristic, complemented
800	#474	—	5	1	no	—
801	#474	—	5	1	no	—
802	#470	—	5	1	no	—
803	#469	—	5	1	no	—
804	#468	—	5	1	no	—
805	#468	—	5	1	no	—
806	#467	—	5	1	no	—
807	#466	—	5	1	no	—
808	#465	—	5	1	no	—
809	#465	—	5	1	no	—
810	#465	—	5	1	no	—
811	#465	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	C₂×D₅	1	1	yes	characteristic
817	#464	C₂×D₅	1	1	yes	characteristic
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	C₂×D₅	1	1	yes	characteristic, complemented
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#449	—	5	1	no	—
833	#449	—	5	1	no	—
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#447	—	5	1	no	—
837	#447	—	5	1	no	—
838	#446	C₂×D₅	1	1	yes	characteristic, complemented
839	C₈×Q₈	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	C₂×D₅	1	1	yes	characteristic, complemented
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	C₂×D₅	1	1	yes	characteristic
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×D₈	—	5	1	no	—
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	#436	—	5	1	no	—
869	#435	—	5	1	no	—
870	#435	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#432	—	5	1	no	—
877	#427	—	5	1	no	—
878	#427	—	5	1	no	—
879	C₂×#106	—	5	1	no	—
880	#419	—	5	1	no	—
881	#418	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	#416	—	5	1	no	—
885	#416	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	C₂×C₄×C₈	—	5	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂²×D₅	—	2	1	no	—
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	—	2	1	no	—
893	C₂²×D₅	—	4	2	no	—
894	C₂²×D₅	—	8	1	no	—
895	C₂²×D₅	—	8	1	no	—
896	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
897	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	2	1	no	—
901	C₅×Q₈	—	2	1	no	—
902	C₅×Q₈	—	2	1	no	—
903	C₅×Q₈	—	2	1	no	—
904	C₅×Q₈	—	4	1	no	—
905	C₅×Q₈	—	8	1	no	—
906	C₅×Q₈	C₂×#41	1	2	yes	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	8	1	no	—
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
924	C₂²⋊D₅	—	4	2	no	—
925	C₂²⋊D₅	—	8	1	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	8	1	no	—
933	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
938	D₂₀	—	2	1	no	—
939	D₂₀	—	2	1	no	—
940	D₂₀	—	2	1	no	—
941	D₂₀	—	2	1	no	—
942	D₂₀	—	2	1	no	—
943	D₂₀	—	4	1	no	—
944	D₂₀	—	4	1	no	—
945	D₂₀	—	4	1	no	—
946	D₂₀	—	4	2	no	—
947	D₂₀	—	4	2	no	—
948	D₂₀	—	4	2	no	—
949	D₂₀	—	4	2	no	—
950	D₂₀	—	8	1	no	—
951	D₂₀	—	8	1	no	—
952	D₂₀	—	8	1	no	—
953	D₂₀	—	8	1	no	—
954	D₂₀	—	8	1	no	—
955	D₂₀	—	8	1	no	—
956	D₂₀	C₂×#41	1	2	yes	—
957	C₄×D₅	—	2	1	no	—
958	C₄×D₅	—	2	1	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	2	1	no	—
962	C₄×D₅	—	2	1	no	—
963	C₄×D₅	—	4	1	no	—
964	C₄×D₅	—	4	1	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	4	2	no	—
969	C₄×D₅	—	4	2	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	Dic₁₀	—	2	1	no	—
981	Dic₁₀	—	2	1	no	—
982	Dic₁₀	—	4	2	no	—
983	Dic₁₀	—	8	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	—	2	1	no	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	C₂×#41	1	2	yes	—
992	C₂×#41	—	5	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	—	5	1	no	—
995	C₂×#41	—	5	1	no	—
996	C₂²×Q₈	—	5	1	no	—
997	C₂²×D₄	—	5	1	no	—
998	#135	—	10	4	no	—
999	#135	—	10	4	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	no	—
1002	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1003	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	—	5	1	no	—
1006	C₂×SD₁₆	—	5	1	no	—
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	10	4	no	—
1012	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1013	C₂×D₈	—	5	1	no	—
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×D₈	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂²×C₈	—	5	1	no	—
1020	C₂²×C₈	—	5	1	no	—
1021	C₂²×C₈	—	5	1	no	—
1022	C₂²×C₈	—	5	1	no	—
1023	C₄⋊Q₈	—	2	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1026	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1027	#127	—	5	1	no	—
1028	#127	—	10	1	no	—
1029	#126	—	2	1	no	—
1030	#126	—	2	1	no	—
1031	#126	—	5	1	no	—
1032	#126	—	5	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#126	—	10	1	no	—
1045	#125	—	2	1	no	—
1046	#125	—	2	1	no	—
1047	#125	—	5	1	no	—
1048	#125	—	5	1	no	—
1049	#125	—	5	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	C₂²×D₅	1	1	yes	characteristic
1055	#125	C₂²×D₅	1	1	yes	characteristic
1056	#124	—	5	1	no	—
1057	#124	—	5	1	no	—
1058	#124	—	5	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	C₂²×D₅	1	1	yes	characteristic
1068	#124	C₂²×D₅	1	1	yes	characteristic
1069	#123	—	5	1	no	—
1070	#123	—	5	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	#123	—	10	1	no	—
1084	#123	—	10	1	no	—
1085	#123	—	10	1	no	—
1086	#123	—	10	1	no	—
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	5	1	no	—
1089	C₂²⋊Q₈	—	5	1	no	—
1090	C₂²⋊Q₈	—	5	1	no	—
1091	C₂²⋊Q₈	—	5	1	no	—
1092	C₂²⋊Q₈	—	5	1	no	—
1093	C₂²⋊Q₈	—	5	1	no	—
1094	C₂²⋊Q₈	—	5	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	—	10	1	no	—
1121	#120	—	10	1	no	—
1122	#120	—	10	1	no	—
1123	C₄×Q₈	—	2	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	—	10	1	no	—
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	—	10	1	no	—
1166	C₄×D₄	—	10	1	no	—
1167	C₄×D₄	—	10	1	no	—
1168	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1169	#117	—	2	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	—	5	1	no	—
1174	#117	—	5	1	no	—
1175	#117	—	5	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	—	10	1	no	—
1184	#117	—	10	1	no	—
1185	#117	—	10	1	no	—
1186	#117	—	10	1	no	—
1187	C₂×C₄⋊C₄	—	5	1	no	—
1188	C₂×C₄⋊C₄	—	5	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₄⋊C₄	—	10	1	no	—
1193	C₂×C₂²⋊C₄	—	10	1	no	—
1194	C₂×C₂²⋊C₄	—	10	1	no	—
1195	C₂×C₂²⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₄²	—	5	1	no	—
1198	C₂×C₄²	—	10	1	no	—
1199	C₂×C₄²	—	10	1	no	—
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	C₂²×D₅	1	1	yes	characteristic
1207	#107	C₂²×D₅	1	1	yes	characteristic
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	—	5	1	no	—
1213	#106	—	5	1	no	—
1214	#106	—	5	1	no	—
1215	#106	C₂²×D₅	1	1	yes	characteristic
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1220	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1221	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#103	C₂²×D₅	1	1	yes	characteristic
1234	#103	C₂²×D₅	1	1	yes	characteristic
1235	#103	C₂²×D₅	1	1	yes	characteristic
1236	#103	C₂²×D₅	1	1	yes	characteristic
1237	#103	C₂²×D₅	1	1	yes	characteristic
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	C₂²×D₅	1	1	yes	characteristic
1252	#102	C₂²×D₅	1	1	yes	characteristic
1253	#102	C₂²×D₅	1	1	yes	characteristic
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	—	5	1	no	—
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	C₂²×D₅	1	1	yes	characteristic
1263	#97	C₂²×D₅	1	1	yes	characteristic
1264	C₄×C₈	—	5	1	no	—
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1270	C₂²×C₅	—	4	1	no	—
1271	C₂²×C₅	—	4	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1274	C₂×D₅	—	2	1	no	—
1275	C₂×D₅	—	2	1	no	—
1276	C₂×D₅	—	2	1	no	—
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	2	1	no	—
1280	C₂×D₅	—	2	1	no	—
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	2	1	no	—
1283	C₂×D₅	—	2	2	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	4	1	no	—
1290	C₂×D₅	—	4	1	no	—
1291	C₂×D₅	—	4	1	no	—
1292	C₂×D₅	—	16	2	no	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	2	1	no	—
1295	C₄×C₅	—	2	1	no	—
1296	C₄×C₅	—	2	1	no	—
1297	C₄×C₅	—	2	1	no	—
1298	C₄×C₅	—	2	1	no	—
1299	C₄×C₅	—	2	2	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	—	4	1	no	—
1302	C₄×C₅	—	4	1	no	—
1303	C₄×C₅	—	4	1	no	—
1304	C₄×C₅	—	4	1	no	—
1305	C₄×C₅	—	4	1	no	—
1306	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1307	C₄×C₅	#585	1	1	yes	characteristic
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	2	1	no	—
1311	Dic₅	—	2	1	no	—
1312	Dic₅	—	2	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	—	4	1	no	—
1318	C₂⁴	—	10	1	no	—
1319	#41	—	10	2	no	—
1320	#41	—	10	2	no	—
1321	#41	—	10	2	no	—
1322	#41	—	10	2	no	—
1323	#41	—	20	1	no	—
1324	#41	—	20	1	no	—
1325	#41	—	20	1	no	—
1326	#41	—	20	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	5	1	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	10	1	no	—
1331	C₂×Q₈	—	10	2	no	—
1332	C₂×Q₈	—	20	1	no	—
1333	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1334	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1335	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1337	C₂×D₄	—	5	1	no	—
1338	C₂×D₄	—	5	1	no	—
1339	C₂×D₄	—	5	1	no	—
1340	C₂×D₄	—	5	1	no	—
1341	C₂×D₄	—	5	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	1	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	2	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	20	1	no	—
1358	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	5	1	no	—
1361	C₂²×C₄	—	5	1	no	—
1362	C₂²×C₄	—	5	1	no	—
1363	C₂²×C₄	—	5	1	no	—
1364	C₂²×C₄	—	5	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	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	Q₁₆	—	2	2	no	—
1382	Q₁₆	—	2	2	no	—
1383	Q₁₆	—	20	1	no	—
1384	Q₁₆	—	20	1	no	—
1385	SD₁₆	—	2	2	no	—
1386	SD₁₆	—	5	4	no	—
1387	SD₁₆	—	10	2	no	—
1388	SD₁₆	—	10	2	no	—
1389	SD₁₆	—	10	2	no	—
1390	SD₁₆	—	10	2	no	—
1391	SD₁₆	—	20	1	no	—
1392	SD₁₆	—	20	1	no	—
1393	D₈	—	10	2	no	—
1394	D₈	—	10	2	no	—
1395	D₈	—	20	1	no	—
1396	D₈	—	20	1	no	—
1397	M₁₆	—	20	1	no	—
1398	M₁₆	—	20	1	no	—
1399	C₂×C₈	—	5	1	no	—
1400	C₂×C₈	—	5	1	no	—
1401	C₂×C₈	—	5	1	no	—
1402	C₂×C₈	—	5	1	no	—
1403	C₂×C₈	—	10	2	no	—
1404	C₂×C₈	—	10	2	no	—
1405	C₂×C₈	—	10	2	no	—
1406	C₂×C₈	—	20	1	no	—
1407	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1408	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	5	1	no	—
1430	C₄⋊C₄	—	5	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	5	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	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1454	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1455	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1456	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1457	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1458	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	1	no	—
1466	C₂²⋊C₄	—	5	1	no	—
1467	C₂²⋊C₄	—	5	1	no	—
1468	C₂²⋊C₄	—	5	1	no	—
1469	C₂²⋊C₄	—	5	1	no	—
1470	C₂²⋊C₄	—	5	1	no	—
1471	C₂²⋊C₄	—	5	1	no	—
1472	C₂²⋊C₄	—	5	1	no	—
1473	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	5	1	no	—
1510	C₄²	—	5	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	—	10	1	no	—
1518	C₄²	—	10	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	C₂³×D₅	1	1	yes	characteristic
1521	C₄²	C₂³×D₅	1	1	yes	characteristic
1522	C₄²	C₂³×D₅	1	1	yes	characteristic
1523	C₂×C₅	—	8	1	no	—
1524	C₂×C₅	D₄×#41	1	1	yes	characteristic
1525	C₂×C₅	#3584	1	1	yes	characteristic
1526	C₂×C₅	#3584	1	1	yes	characteristic
1527	D₅	—	4	1	no	—
1528	D₅	—	4	1	no	—
1529	D₅	—	4	1	no	—
1530	D₅	—	4	2	no	—
1531	D₅	—	8	1	no	—
1532	D₅	—	8	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	5	1	no	—
1535	C₂³	—	5	1	no	—
1536	C₂³	—	5	1	no	—
1537	C₂³	—	10	1	no	—
1538	C₂³	—	10	1	no	—
1539	C₂³	—	10	1	no	—
1540	C₂³	—	20	2	no	—
1541	C₂³	—	40	1	no	—
1542	C₂³	—	40	1	no	—
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	4	1	no	—
1549	Q₈	—	8	1	no	—
1550	Q₈	—	10	1	no	—
1551	Q₈	—	10	1	no	—
1552	Q₈	—	20	2	no	—
1553	Q₈	—	40	1	no	—
1554	Q₈	D₅×#41	1	2	yes	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	5	2	no	—
1558	D₄	—	10	1	no	—
1559	D₄	—	10	1	no	—
1560	D₄	—	10	1	no	—
1561	D₄	—	10	1	no	—
1562	D₄	—	10	1	no	—
1563	D₄	—	20	1	no	—
1564	D₄	—	20	1	no	—
1565	D₄	—	20	1	no	—
1566	D₄	—	20	2	no	—
1567	D₄	—	20	2	no	—
1568	D₄	—	20	2	no	—
1569	D₄	—	20	2	no	—
1570	D₄	—	20	2	no	—
1571	D₄	—	40	1	no	—
1572	D₄	—	40	1	no	—
1573	D₄	—	40	1	no	—
1574	D₄	—	40	1	no	—
1575	D₄	—	40	1	no	—
1576	D₄	—	40	1	no	—
1577	D₄	—	40	1	no	—
1578	D₄	—	40	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	5	1	no	—
1587	C₂×C₄	—	5	1	no	—
1588	C₂×C₄	—	5	1	no	—
1589	C₂×C₄	—	5	1	no	—
1590	C₂×C₄	—	5	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	10	1	no	—
1593	C₂×C₄	—	10	1	no	—
1594	C₂×C₄	—	10	1	no	—
1595	C₂×C₄	—	10	1	no	—
1596	C₂×C₄	—	10	1	no	—
1597	C₂×C₄	—	10	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	1	no	—
1600	C₂×C₄	—	10	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	10	1	no	—
1603	C₂×C₄	—	20	1	no	—
1604	C₂×C₄	—	20	1	no	—
1605	C₂×C₄	—	20	2	no	—
1606	C₂×C₄	—	20	2	no	—
1607	C₂×C₄	—	20	2	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	20	2	no	—
1610	C₂×C₄	—	40	1	no	—
1611	C₂×C₄	—	40	1	no	—
1612	C₂×C₄	—	40	1	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	—	40	1	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1622	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1623	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	5	2	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	—	10	1	no	—
1636	C₅	#61486	1	1	yes	characteristic, complemented, Sylow
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	10	1	no	—
1641	C₂²	—	10	1	no	—
1642	C₂²	—	10	1	no	—
1643	C₂²	—	10	1	no	—
1644	C₂²	—	10	1	no	—
1645	C₂²	—	10	1	no	—
1646	C₂²	—	10	1	no	—
1647	C₂²	—	10	1	no	—
1648	C₂²	—	10	1	no	—
1649	C₂²	—	10	2	no	—
1650	C₂²	—	20	1	no	—
1651	C₂²	—	20	1	no	—
1652	C₂²	—	20	1	no	—
1653	C₂²	—	20	1	no	—
1654	C₂²	—	20	1	no	—
1655	C₂²	—	20	1	no	—
1656	C₂²	—	20	1	no	—
1657	C₂²	—	20	1	no	—
1658	C₂²	—	80	2	no	—
1659	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	2	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	4	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	10	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	10	1	no	—
1676	C₄	—	10	1	no	—
1677	C₄	—	10	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	C₂×D₅×#41	1	1	yes	characteristic
1684	C₄	#66287	1	1	yes	characteristic
1685	C₂	—	8	1	no	—
1686	C₂	—	20	1	no	—
1687	C₂	—	20	1	no	—
1688	C₂	—	20	1	no	—
1689	C₂	—	20	2	no	—
1690	C₂	—	40	1	no	—
1691	C₂	—	40	1	no	—
1692	C₂	#10618611	1	1	yes	characteristic
1693	C₂	#10619100	1	1	yes	characteristic
1694	C₂	#10619111	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×#3377	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3377	D₅
hypocenter	C₅	#61486
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3377

Complements

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

N	H ≅ G/N	type
1. #10618927	C₂	semidirect
2. #10618893	C₂	semidirect
3. C₅×#3377	C₂	semidirect
4. #10615424	C₂	semidirect
5. #10615410	C₂	semidirect
6. #10613481	C₂	semidirect
7. #10613460	C₂	semidirect
8. #10613433	C₂	semidirect
9. #10613397	C₂	semidirect
10. #10613387	C₂	semidirect
11. #10613359	C₂	semidirect
12. #10612985	C₂	semidirect
13. #10612937	C₂	semidirect
14. #10612925	C₂	semidirect
15. #10612877	C₂	semidirect
16. #10612857	C₂	semidirect
17. #10612828	C₂	semidirect
18. #10612361	C₂	semidirect
19. #10612361	C₂	semidirect
20. #10612305	C₂	semidirect
21. #10612301	C₂	semidirect
22. #10612233	C₂	semidirect
23. #10612192	C₂	semidirect
24. #10611702	C₂	semidirect
25. #10611670	C₂	semidirect
26. #10611573	C₂	semidirect
27. #10611563	C₂	semidirect
28. #10611530	C₂	semidirect
29. #10611508	C₂	semidirect
30. #10611469	C₂	semidirect
31. C₄×#4065	C₂	semidirect
32. C₅×#557	C₂²	semidirect
40. #66067	C₂²	semidirect
52. #66028	C₂²	semidirect
54. #66025	C₂²	semidirect
62. #65919	C₂²	semidirect
68. #65911	C₂²	semidirect
72. #65908	C₂²	semidirect
74. C₄×#713	C₂²	semidirect
80. C₅×#491	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
85. C₅×#477	C₂²	semidirect
88. C₅×#462	C₂²	semidirect
89. C₅×#446	C₂²	semidirect
90. C₅×#441	C₂²	semidirect
92. C₄×C₅×Q₁₆	C₂²	semidirect
93. #65476	C₂²	semidirect
94. #65476	C₂²	semidirect
97. #65473	C₂²	semidirect
98. Q₁₆×Dic₅	C₂²	semidirect
102. #65379	C₂²	semidirect
104. #65374	C₂²	semidirect
105. #65368	C₂²	semidirect
108. #65353	C₂²	semidirect
109. #65353	C₂²	semidirect
114. #65317	C₂²	semidirect
115. #65317	C₂²	semidirect
119. C₄×#688	C₂²	semidirect
120. C₄×#688	C₂²	semidirect
121. Q₈×#168	C₂²	semidirect
122. #65311	C₂²	semidirect
123. #65311	C₂²	semidirect
124. #65310	C₂²	semidirect
129. #65174	C₂²	semidirect
130. #65173	C₂²	semidirect
131. #65171	C₂²	semidirect
133. #65169	C₂²	semidirect
136. #65156	C₂²	semidirect
138. D₅×#106	C₂²	semidirect
139. #65136	C₂²	semidirect
140. #65135	C₂²	semidirect
145. #65129	C₂²	semidirect
146. #65124	C₂²	semidirect
149. #65123	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65106	C₂²	semidirect
152. #65106	C₂²	semidirect
153. #65105	C₂²	semidirect
156. #65103	C₂²	semidirect
157. #65102	C₂²	semidirect
164. #65098	C₂²	semidirect
167. #65096	C₂²	semidirect
168. #65096	C₂²	semidirect
170. #65093	C₂²	semidirect
172. #65092	C₂²	semidirect
174. #65079	C₂²	semidirect
175. #65078	C₂²	semidirect
177. #65077	C₂²	semidirect
178. #65077	C₂²	semidirect
191. #65003	C₂²	semidirect
192. #65002	C₂²	semidirect
196. #64997	C₂²	semidirect
198. #64995	C₂²	semidirect
199. #64986	C₂²	semidirect
202. C₄×C₈×D₅	C₂²	semidirect
486. #3377	D₅	semidirect
723. #557	C₂×D₅	semidirect
772. #491	C₂×D₅	semidirect
793. #479	C₂×D₅	semidirect
799. #477	C₂×D₅	semidirect
823. #462	C₂×D₅	semidirect
838. #446	C₂×D₅	semidirect
845. #441	C₂×D₅	semidirect
854. C₄×Q₁₆	C₂×D₅	semidirect
1636. C₅	#61486	semidirect

Maximal subgroups

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

subgroup	index
#10618927	2
#10618893	2
C₅×#3377	2
#10615424	2
#10615410	2
#10613481	2
#10613460	2
#10613433	2
#10613397	2
#10613387	2
#10613359	2
#10612985	2
#10612937	2
#10612925	2
#10612877	2
#10612857	2
#10612828	2
#10612361	2
#10612305	2
#10612301	2
#10612233	2
#10612192	2
#10611702	2
#10611670	2
#10611573	2
#10611563	2
#10611530	2
#10611508	2
#10611469	2
C₄×#4065	2
#61486	5