Subgroups — #12981920

Order 1280.

1872 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618835	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618623	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3316	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615353	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615276	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613405	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613397	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613166	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613148	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613051	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613041	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612770	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612732	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612656	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612620	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612414	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612363	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612320	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612306	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612001	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611950	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611938	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611905	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611563	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611546	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611230	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611185	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610639	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610600	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610542	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65077	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#554	C₂²	1	1	yes	characteristic
33	C₅×#548	C₂²	1	1	yes	characteristic
34	#66168	C₂²	1	1	yes	characteristic, complemented
35	#66161	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4096	C₂²	1	1	yes	characteristic
37	#66151	C₂²	1	1	yes	characteristic
38	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
39	C₂²×#688	C₂²	1	1	yes	characteristic
40	C₂×#4065	C₂²	1	1	yes	characteristic
41	#66067	C₂²	1	1	yes	characteristic
42	#66061	C₂²	1	1	yes	characteristic
43	#66027	—	2	1	no	—
44	#66026	—	2	1	no	—
45	#66016	—	2	1	no	—
46	#66016	C₂²	1	1	yes	characteristic, complemented
47	#66015	—	2	1	no	—
48	#66015	C₂²	1	1	yes	characteristic, complemented
49	#65977	—	2	1	no	—
50	#65977	C₂²	1	1	yes	characteristic
51	#65977	C₂²	1	1	yes	characteristic, complemented
52	#65972	—	2	1	no	—
53	#65971	—	2	1	no	—
54	#65969	—	2	1	no	—
55	#65969	C₂²	1	1	yes	characteristic, complemented
56	#65967	—	2	1	no	—
57	#65965	C₂²	1	1	yes	characteristic
58	#65964	C₂²	1	1	yes	characteristic
59	D₅×C₂²⋊Q₈	—	2	1	no	—
60	#65956	C₂²	1	1	yes	characteristic
61	#65945	—	2	1	no	—
62	#65945	C₂²	1	1	yes	characteristic
63	#65930	—	2	1	no	—
64	#65930	C₂²	1	1	yes	characteristic
65	#65908	C₂²	1	1	yes	characteristic
66	#65908	C₂²	1	1	yes	characteristic, complemented
67	#65902	C₂²	1	1	yes	characteristic
68	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
69	#65890	—	2	1	no	—
70	#65889	—	2	1	no	—
71	#65889	C₂²	1	1	yes	characteristic
72	#65884	C₂²	1	1	yes	characteristic
73	#65881	—	2	1	no	—
74	#65872	—	2	1	no	—
75	#65872	C₂²	1	1	yes	characteristic
76	#65845	C₂²	1	1	yes	characteristic
77	#65841	C₂²	1	1	yes	characteristic
78	#65838	C₂²	1	1	yes	characteristic
79	C₂×#4039	C₂²	1	1	yes	characteristic
80	C₅×#489	C₂²	1	1	yes	characteristic, complemented
81	C₅×#483	C₂²	1	1	yes	characteristic, complemented
82	C₅×#481	C₂²	1	1	yes	characteristic
83	C₅×#475	C₂²	1	1	yes	characteristic, complemented
84	C₅×#470	C₂²	1	1	yes	characteristic, complemented
85	C₅×#465	C₂²	1	1	yes	characteristic
86	C₅×#464	C₂²	1	1	yes	characteristic, complemented
87	C₅×#452	C₂²	1	1	yes	characteristic, complemented
88	C₅×#451	C₂²	1	1	yes	characteristic
89	C₅×#441	C₂²	1	1	yes	characteristic, complemented
90	C₅×#435	C₂²	1	1	yes	characteristic
91	C₅×#417	C₂²	1	1	yes	characteristic, complemented
92	C₂×C₅×#103	C₂²	1	1	yes	characteristic
93	#65527	C₂²	1	1	yes	characteristic
94	#65517	C₂²	1	1	yes	characteristic
95	#65480	C₂²	1	1	yes	characteristic
96	#65476	C₂²	1	1	yes	characteristic
97	#65474	C₂²	1	1	yes	characteristic
98	#65473	C₂²	1	1	yes	characteristic, complemented
99	#65473	C₂²	1	1	yes	characteristic, complemented
100	#65471	C₂²	1	1	yes	characteristic, complemented
101	#65471	C₂²	1	1	yes	characteristic, complemented
102	#65464	C₂²	1	1	yes	characteristic, complemented
103	#65461	C₂²	1	1	yes	characteristic
104	#65454	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
106	#65424	C₂²	1	1	yes	characteristic
107	#65422	C₂²	1	1	yes	characteristic
108	#65417	C₂²	1	1	yes	characteristic, complemented
109	#65411	C₂²	1	1	yes	characteristic, complemented
110	#65403	C₂²	1	1	yes	characteristic
111	C₂×#3953	C₂²	1	1	yes	characteristic
112	#65400	C₂²	1	1	yes	characteristic
113	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
114	#65373	C₂²	1	1	yes	characteristic, complemented
115	#65368	C₂²	1	1	yes	characteristic, complemented
116	#65348	C₂²	1	1	yes	characteristic
117	#65346	C₂²	1	1	yes	characteristic
118	#65337	C₂²	1	1	yes	characteristic
119	#65337	C₂²	1	1	yes	characteristic
120	#65337	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic
122	#65332	C₂²	1	1	yes	characteristic
123	#65332	C₂²	1	1	yes	characteristic, complemented
124	#65330	C₂²	1	1	yes	characteristic
125	#65325	C₂²	1	1	yes	characteristic
126	#65317	C₂²	1	1	yes	characteristic
127	C₄×#688	C₂²	1	1	yes	characteristic
128	C₄×#688	C₂²	1	1	yes	characteristic, complemented
129	#65309	C₂²	1	1	yes	characteristic, complemented
130	D₄×#168	C₂²	1	1	yes	characteristic
131	#65257	C₂²	1	1	yes	characteristic
132	#65257	C₂²	1	1	yes	characteristic, complemented
133	C₂×#3940	C₂²	1	1	yes	characteristic
134	C₂×#3940	C₂²	1	1	yes	characteristic, complemented
135	#65159	C₂²	1	1	yes	characteristic
136	#65159	C₂²	1	1	yes	characteristic
137	#65159	C₂²	1	1	yes	characteristic
138	#65158	C₂²	1	1	yes	characteristic
139	#65158	C₂²	1	1	yes	characteristic
140	#65152	C₂²	1	1	yes	characteristic
141	#65151	C₂²	1	1	yes	characteristic, complemented
142	D₅×#106	C₂²	1	1	yes	characteristic, complemented
143	#65144	C₂²	1	1	yes	characteristic, complemented
144	#65144	C₂²	1	1	yes	characteristic, complemented
145	#65143	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65133	C₂²	1	1	yes	characteristic
148	#65131	C₂²	1	1	yes	characteristic
149	#65129	C₂²	1	1	yes	characteristic, complemented
150	#65119	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic
152	#65105	C₂²	1	1	yes	characteristic, complemented
153	#65100	C₂²	1	1	yes	characteristic
154	#65099	C₂²	1	1	yes	characteristic, complemented
155	#65096	C₂²	1	1	yes	characteristic
156	#65094	C₂²	1	1	yes	characteristic, complemented
157	#65092	C₂²	1	1	yes	characteristic
158	#65092	C₂²	1	1	yes	characteristic, complemented
159	#65087	C₂²	1	1	yes	characteristic, complemented
160	#65084	C₂²	1	1	yes	characteristic
161	#65084	C₂²	1	1	yes	characteristic, complemented
162	#65081	C₂²	1	1	yes	characteristic, complemented
163	#65080	C₂²	1	1	yes	characteristic, complemented
164	#65080	C₂²	1	1	yes	characteristic, complemented
165	#65080	C₂²	1	1	yes	characteristic, complemented
166	#65078	C₂²	1	1	yes	characteristic, complemented
167	#65078	C₂²	1	1	yes	characteristic, complemented
168	#65078	C₂²	1	1	yes	characteristic, complemented
169	#65077	C₂²	1	1	yes	characteristic
170	#65077	C₂²	1	1	yes	characteristic
171	#65077	C₂²	1	1	yes	characteristic
172	#65077	C₂²	1	1	yes	characteristic
173	#65077	C₂²	1	1	yes	characteristic
174	#65077	C₂²	1	1	yes	characteristic
175	#65077	C₂²	1	1	yes	characteristic
176	#65077	C₂²	1	1	yes	characteristic
177	#65077	C₂²	1	1	yes	characteristic
178	#65077	C₂²	1	1	yes	characteristic, complemented
179	#65075	C₂²	1	1	yes	characteristic
180	#65075	C₂²	1	1	yes	characteristic
181	#65074	C₂²	1	1	yes	characteristic
182	#65074	C₂²	1	1	yes	characteristic
183	#65074	C₂²	1	1	yes	characteristic
184	#65071	C₂²	1	1	yes	characteristic
185	#65067	C₂²	1	1	yes	characteristic, complemented
186	#65066	C₂²	1	1	yes	characteristic, complemented
187	#65050	C₂²	1	1	yes	characteristic, complemented
188	#65049	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65047	C₂²	1	1	yes	characteristic, complemented
191	#65024	C₂²	1	1	yes	characteristic
192	#65023	C₂²	1	1	yes	characteristic
193	#65021	C₂²	1	1	yes	characteristic
194	#65014	C₂²	1	1	yes	characteristic
195	#65014	C₂²	1	1	yes	characteristic, complemented
196	#65010	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic, complemented
198	#65008	C₂²	1	1	yes	characteristic
199	#65003	C₂²	1	1	yes	characteristic
200	#65000	C₂²	1	1	yes	characteristic
201	#64997	C₂²	1	1	yes	characteristic, complemented
202	#64990	C₂²	1	1	yes	characteristic, complemented
203	#61483	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	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	—	2	1	no	—
209	C₂×#711	—	2	1	no	—
210	C₂×#711	—	2	1	no	—
211	C₂×#711	—	2	1	no	—
212	C₂×#709	—	2	1	no	—
213	C₂×#709	C₂³	1	1	yes	characteristic
214	C₂²×D₂₀	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₅	—	2	1	no	—
216	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
220	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
221	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×#125	—	2	1	no	—
223	C₅×#124	—	2	1	no	—
224	C₅×#124	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	—	2	1	no	—
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₅×#121	—	2	1	no	—
232	C₅×#121	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	—	2	1	no	—
236	C₄×C₅×D₄	—	2	1	no	—
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	#4096	—	2	4	no	—
241	#4093	—	2	1	no	—
242	#4093	—	2	1	no	—
243	#4093	C₂³	1	1	yes	characteristic
244	#4093	C₂³	1	1	yes	characteristic
245	#4092	—	2	1	no	—
246	#4092	—	2	1	no	—
247	#4092	—	2	1	no	—
248	#4092	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	—	2	1	no	—
250	Q₈×Dic₅	—	2	1	no	—
251	Q₈×Dic₅	C₂³	1	1	yes	characteristic
252	Q₈×Dic₅	C₂³	1	1	yes	characteristic
253	Q₈×Dic₅	C₂³	1	1	yes	characteristic
254	Q₈×Dic₅	C₂³	1	1	yes	characteristic
255	Q₈×Dic₅	C₂³	1	1	yes	characteristic
256	Q₈×Dic₅	C₂³	1	1	yes	characteristic
257	#4090	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#689	C₂³	1	1	yes	characteristic
260	C₂×#688	—	2	4	no	—
261	C₂×#688	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	C₂×#688	C₂³	1	1	yes	characteristic
265	C₂×#688	C₂³	1	1	yes	characteristic
266	#4086	—	2	1	no	—
267	#4086	C₂³	1	1	yes	characteristic
268	#4085	—	2	1	no	—
269	#4085	D₄	1	1	yes	characteristic
270	#4084	—	2	1	no	—
271	#4084	C₂³	1	1	yes	characteristic
272	#4083	—	2	1	no	—
273	#4081	—	2	1	no	—
274	#4081	D₄	1	1	yes	characteristic
275	D₄×Dic₅	—	2	1	no	—
276	D₄×Dic₅	—	2	1	no	—
277	D₄×Dic₅	C₂³	1	1	yes	characteristic
278	D₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×#687	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	C₂×#686	C₂³	1	1	yes	characteristic
282	#4076	—	2	1	no	—
283	#4076	—	2	1	no	—
284	#4076	C₂³	1	1	yes	characteristic
285	#4076	C₂³	1	1	yes	characteristic
286	#4076	C₂³	1	1	yes	characteristic
287	#4075	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	—	2	1	no	—
290	C₄×C₂²⋊D₅	—	2	1	no	—
291	C₄×C₂²⋊D₅	—	2	1	no	—
292	C₄×C₂²⋊D₅	—	2	1	no	—
293	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
294	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
295	C₂×#685	—	2	1	no	—
296	#4072	—	2	1	no	—
297	#4072	C₂³	1	1	yes	characteristic
298	C₂×C₄⋊Dic₅	—	2	1	no	—
299	C₂×C₄⋊Dic₅	—	2	1	no	—
300	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
302	#4070	—	2	1	no	—
303	#4070	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₅	—	2	1	no	—
305	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
306	C₂²×#168	C₂³	1	1	yes	characteristic
307	C₂²×#168	C₂³	1	1	yes	characteristic
308	#4065	—	2	4	no	—
309	C₂×D₄₀	C₂³	1	1	yes	characteristic
310	C₂×D₄₀	C₂³	1	1	yes	characteristic
311	C₂×#677	C₂³	1	1	yes	characteristic
312	C₂×#676	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
314	#4044	—	2	1	no	—
315	#4044	—	2	1	no	—
316	#4044	—	2	1	no	—
317	#4044	—	2	1	no	—
318	#4044	D₄	1	1	yes	characteristic
319	#4043	—	2	1	no	—
320	#4043	—	2	1	no	—
321	#4043	—	2	1	no	—
322	#4043	—	2	1	no	—
323	#4043	C₂³	1	1	yes	characteristic
324	#4042	—	2	1	no	—
325	#4042	—	2	1	no	—
326	#4042	—	2	1	no	—
327	#4042	—	2	1	no	—
328	#4042	—	2	1	no	—
329	#4041	—	2	1	no	—
330	#4041	C₂³	1	1	yes	characteristic
331	#4040	—	2	1	no	—
332	#4040	—	2	1	no	—
333	#4040	—	2	1	no	—
334	#4040	—	2	1	no	—
335	#4040	—	2	1	no	—
336	#4039	—	2	1	no	—
337	#4039	—	2	1	no	—
338	#4039	—	2	1	no	—
339	#4039	—	2	1	no	—
340	#4039	C₂³	1	1	yes	characteristic
341	#4039	C₂³	1	1	yes	characteristic
342	#4039	C₂³	1	1	yes	characteristic
343	#4039	C₂³	1	1	yes	characteristic
344	#4039	C₂³	1	1	yes	characteristic
345	#4039	C₂³	1	1	yes	characteristic
346	#4038	—	2	1	no	—
347	D₅×C₄⋊C₄	—	2	1	no	—
348	D₅×C₄⋊C₄	—	2	1	no	—
349	D₅×C₄⋊C₄	—	2	1	no	—
350	D₅×C₄⋊C₄	—	2	1	no	—
351	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
352	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4035	D₄	1	1	yes	characteristic
357	#4034	—	2	1	no	—
358	#4034	—	2	1	no	—
359	#4034	C₂³	1	1	yes	characteristic
360	#4034	C₂³	1	1	yes	characteristic
361	#4034	C₂³	1	1	yes	characteristic
362	#4034	C₂³	1	1	yes	characteristic
363	#4033	—	2	1	no	—
364	#4033	C₂³	1	1	yes	characteristic
365	#4033	C₂³	1	1	yes	characteristic
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4032	—	2	1	no	—
369	#4032	—	2	1	no	—
370	#4032	D₄	1	1	yes	characteristic
371	#4031	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4031	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4031	D₄	1	1	yes	characteristic
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4029	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4028	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	D₅×C₂²⋊C₄	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	#4025	—	2	1	no	—
391	#4025	D₄	1	1	yes	characteristic
392	#4024	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4024	D₄	1	1	yes	characteristic
397	#4023	—	2	1	no	—
398	#4022	—	2	1	no	—
399	#4021	C₂³	1	1	yes	characteristic
400	C₄×D₂₀	—	2	1	no	—
401	C₄×D₂₀	—	2	1	no	—
402	C₄×D₂₀	C₂³	1	1	yes	characteristic
403	C₄×D₂₀	C₂³	1	1	yes	characteristic
404	#4018	—	2	1	no	—
405	#4018	—	2	1	no	—
406	#4018	—	2	1	no	—
407	#4018	C₂³	1	1	yes	characteristic
408	#4015	—	2	1	no	—
409	#4015	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	—	2	1	no	—
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#106	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	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×#102	C₂³	1	1	yes	characteristic
424	C₅×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	C₂³	1	1	yes	characteristic
426	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×#97	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	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	#3964	C₂³	1	1	yes	characteristic
435	C₂²⋊#168	C₂³	1	1	yes	characteristic
436	C₂²⋊#168	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	#3949	C₂³	1	1	yes	characteristic
447	#3949	C₂³	1	1	yes	characteristic
448	#3949	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3947	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3940	C₂³	1	1	yes	characteristic
478	#3940	C₂³	1	1	yes	characteristic
479	#3940	C₂³	1	1	yes	characteristic
480	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3522	—	5	1	no	—
483	#3520	—	5	1	no	—
484	#3394	—	5	1	no	—
485	Q₈×SD₁₆	—	5	1	no	—
486	#3373	—	5	1	no	—
487	#3369	—	5	1	no	—
488	#3335	—	5	1	no	—
489	#3335	—	5	1	no	—
490	#3335	—	5	1	no	—
491	#3332	—	5	1	no	—
492	#3331	—	5	1	no	—
493	#3316	—	5	1	no	—
494	#3316	D₅	1	1	yes	characteristic, complemented
495	#3306	—	5	1	no	—
496	#3306	—	5	1	no	—
497	#3284	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3282	—	5	1	no	—
500	#3173	—	5	1	no	—
501	#3173	—	5	1	no	—
502	#3167	—	5	1	no	—
503	#3125	—	5	1	no	—
504	#3125	—	5	1	no	—
505	#3125	—	5	1	no	—
506	#3125	—	5	1	no	—
507	#3113	—	5	1	no	—
508	#3109	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2952	—	5	1	no	—
511	#2952	—	5	1	no	—
512	C₂×C₄×SD₁₆	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₅×#41	—	2	2	no	—
515	C₅×#41	—	4	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	—	2	2	no	—
519	C₂×C₅×Q₈	—	4	1	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
526	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	#713	—	2	2	no	—
549	#713	—	2	2	no	—
550	#713	—	4	1	no	—
551	#713	—	4	1	no	—
552	Q₈×D₅	—	8	2	no	—
553	#711	—	8	2	no	—
554	#711	—	8	2	no	—
555	#711	—	8	2	no	—
556	#709	—	2	2	no	—
557	#709	—	4	1	no	—
558	#709	—	8	2	no	—
559	C₂×D₂₀	—	2	2	no	—
560	C₂×D₂₀	—	2	1	no	—
561	C₂×D₂₀	—	2	1	no	—
562	C₂×D₂₀	—	2	1	no	—
563	C₂×D₂₀	—	2	1	no	—
564	C₂×D₂₀	—	4	1	no	—
565	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
566	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
567	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	8	2	no	—
582	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
583	C₂×Dic₁₀	—	2	1	no	—
584	C₂×Dic₁₀	—	2	1	no	—
585	C₂×Dic₁₀	—	2	1	no	—
586	C₂×Dic₁₀	—	2	1	no	—
587	C₂×Dic₁₀	—	2	1	no	—
588	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
589	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
590	C₅×Q₁₆	—	2	2	no	—
591	C₅×Q₁₆	—	4	1	no	—
592	C₅×SD₁₆	—	4	1	no	—
593	C₅×M₁₆	—	4	1	no	—
594	C₂×C₅×C₈	—	4	1	no	—
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
597	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
598	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
610	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
611	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
619	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
620	C₄²×C₅	—	2	1	no	—
621	C₄²×C₅	—	2	1	no	—
622	C₄²×C₅	C₂⁴	1	1	yes	characteristic
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
628	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
629	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
631	#689	—	2	2	no	—
632	#689	—	4	1	no	—
633	#688	—	2	2	no	—
634	#688	—	2	2	no	—
635	#688	—	2	2	no	—
636	#688	—	2	2	no	—
637	#688	#41	1	4	yes	complemented
638	#687	—	2	2	no	—
639	#686	—	2	2	no	—
640	#686	—	4	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	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
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	#685	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
681	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	C₂×D₄	1	1	yes	characteristic
695	#683	C₂×D₄	1	1	yes	characteristic
696	#683	C₂×D₄	1	1	yes	characteristic
697	#683	C₂×D₄	1	1	yes	characteristic
698	#683	C₂×D₄	1	1	yes	characteristic
699	#683	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	C₄×Dic₅	—	2	1	no	—
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
709	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
711	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
712	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
713	C₂×#168	—	2	2	no	—
714	C₂×#168	—	2	2	no	—
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	C₂×#168	C₂⁴	1	1	yes	characteristic
717	C₂×#168	C₂⁴	1	1	yes	characteristic
718	C₂×#168	C₂⁴	1	1	yes	characteristic
719	D₄₀	—	2	2	no	—
720	D₄₀	—	4	1	no	—
721	#677	—	4	1	no	—
722	#676	—	4	1	no	—
723	C₈×D₅	—	2	2	no	—
724	C₂×#135	—	5	1	no	—
725	C₂×#135	—	5	1	no	—
726	C₂²×SD₁₆	—	5	1	no	—
727	#559	—	5	1	no	—
728	#559	—	10	1	no	—
729	Q₈²	—	5	1	no	—
730	#556	—	5	1	no	—
731	#554	—	5	1	no	—
732	#554	—	5	1	no	—
733	#554	—	10	1	no	—
734	#554	C₂×D₅	1	1	yes	characteristic
735	#552	—	10	1	no	—
736	#551	—	10	1	no	—
737	#551	—	10	1	no	—
738	#550	—	5	1	no	—
739	D₄×Q₈	—	5	1	no	—
740	#548	—	5	1	no	—
741	#548	—	10	1	no	—
742	#548	C₂×D₅	1	1	yes	characteristic
743	#547	—	5	1	no	—
744	#547	—	5	1	no	—
745	#547	—	5	1	no	—
746	#547	—	5	1	no	—
747	#547	—	10	1	no	—
748	#547	—	10	1	no	—
749	#546	—	5	1	no	—
750	#546	—	5	1	no	—
751	#542	—	5	1	no	—
752	#542	—	5	1	no	—
753	#542	—	5	1	no	—
754	#542	—	5	1	no	—
755	#542	—	10	1	no	—
756	#542	—	10	1	no	—
757	#539	—	10	1	no	—
758	#539	—	10	1	no	—
759	#533	—	5	1	no	—
760	#532	—	5	1	no	—
761	#532	—	10	1	no	—
762	#529	—	5	1	no	—
763	#529	—	10	1	no	—
764	#525	—	10	1	no	—
765	C₂×C₂²⋊Q₈	—	10	1	no	—
766	#520	—	5	1	no	—
767	#520	—	5	1	no	—
768	#520	—	5	1	no	—
769	#520	—	5	1	no	—
770	C₂×C₄×Q₈	—	5	1	no	—
771	C₂×C₄×D₄	—	5	1	no	—
772	#498	—	5	1	no	—
773	#498	—	5	1	no	—
774	#498	—	5	1	no	—
775	#495	—	5	1	no	—
776	#495	—	5	1	no	—
777	#492	—	5	1	no	—
778	#489	—	5	1	no	—
779	#489	—	5	1	no	—
780	#489	—	5	1	no	—
781	#489	C₂×D₅	1	1	yes	characteristic, complemented
782	#487	—	5	1	no	—
783	#486	—	5	1	no	—
784	#483	—	5	1	no	—
785	#483	—	5	1	no	—
786	#483	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	—	5	1	no	—
789	#483	C₂×D₅	1	1	yes	characteristic, complemented
790	#481	—	5	1	no	—
791	#481	—	5	1	no	—
792	#481	—	5	1	no	—
793	#481	—	5	1	no	—
794	#481	—	5	1	no	—
795	#481	C₂×D₅	1	1	yes	characteristic
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	—	5	1	no	—
804	#475	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	C₂×D₅	1	1	yes	characteristic, complemented
808	#470	—	5	1	no	—
809	#470	C₂×D₅	1	1	yes	characteristic, complemented
810	#469	—	5	1	no	—
811	#469	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#465	—	5	1	no	—
815	#465	—	5	1	no	—
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	C₂×D₅	1	1	yes	characteristic
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	C₂×D₅	1	1	yes	characteristic, complemented
824	#463	—	5	1	no	—
825	#463	—	5	1	no	—
826	#463	—	5	1	no	—
827	#463	—	5	1	no	—
828	#462	—	5	1	no	—
829	#462	—	5	1	no	—
830	#459	—	5	1	no	—
831	#459	—	5	1	no	—
832	#452	—	5	1	no	—
833	#452	—	5	1	no	—
834	#452	—	5	1	no	—
835	#452	C₂×D₅	1	1	yes	characteristic, complemented
836	#451	—	5	1	no	—
837	#451	C₂×D₅	1	1	yes	characteristic
838	#449	—	5	1	no	—
839	#449	—	5	1	no	—
840	#449	—	5	1	no	—
841	#449	—	5	1	no	—
842	#447	—	5	1	no	—
843	#447	—	5	1	no	—
844	#446	—	5	1	no	—
845	C₈×Q₈	—	5	1	no	—
846	#442	—	5	1	no	—
847	#442	—	5	1	no	—
848	#442	—	5	1	no	—
849	#442	—	5	1	no	—
850	#442	—	5	1	no	—
851	#442	—	5	1	no	—
852	#441	—	5	1	no	—
853	#441	—	5	1	no	—
854	#441	—	5	1	no	—
855	#441	—	5	1	no	—
856	#441	—	5	1	no	—
857	#441	C₂×D₅	1	1	yes	characteristic, complemented
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×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	—	5	1	no	—
872	C₄×SD₁₆	—	5	1	no	—
873	C₄×SD₁₆	—	5	1	no	—
874	#436	—	5	1	no	—
875	#435	—	5	1	no	—
876	#435	C₂×D₅	1	1	yes	characteristic
877	C₈×D₄	—	5	1	no	—
878	C₈×D₄	—	5	1	no	—
879	C₈×D₄	—	5	1	no	—
880	#433	—	5	1	no	—
881	#433	—	5	1	no	—
882	#432	—	5	1	no	—
883	C₂×#106	—	5	1	no	—
884	C₂×#106	—	5	1	no	—
885	C₂×#106	—	5	1	no	—
886	#417	—	5	1	no	—
887	#417	—	5	1	no	—
888	#417	—	5	1	no	—
889	#417	C₂×D₅	1	1	yes	characteristic, complemented
890	C₂×#103	C₂×D₅	1	1	yes	characteristic
891	C₂×#102	—	5	1	no	—
892	#405	—	5	1	no	—
893	#405	—	5	1	no	—
894	C₂×C₄×C₈	—	5	1	no	—
895	C₂³×C₅	—	2	1	no	—
896	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
897	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂²×D₅	—	2	1	no	—
899	C₂²×D₅	—	2	1	no	—
900	C₂²×D₅	—	2	1	no	—
901	C₂²×D₅	—	4	2	no	—
902	C₂²×D₅	—	4	2	no	—
903	C₂²×D₅	—	8	1	no	—
904	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	4	2	no	—
911	C₅×Q₈	—	8	1	no	—
912	C₅×Q₈	C₂×#41	1	2	yes	—
913	C₅×D₄	—	2	2	no	—
914	C₅×D₄	—	2	1	no	—
915	C₅×D₄	—	2	1	no	—
916	C₅×D₄	—	4	2	no	—
917	C₅×D₄	—	4	2	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	4	2	no	—
930	C₂×C₄×C₅	—	4	2	no	—
931	C₂×C₄×C₅	—	8	1	no	—
932	C₂×C₄×C₅	—	8	1	no	—
933	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
937	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
938	C₂²⋊D₅	—	2	2	no	—
939	C₂²⋊D₅	—	2	2	no	—
940	C₂²⋊D₅	—	4	2	no	—
941	C₂²⋊D₅	—	4	2	no	—
942	C₂²⋊D₅	—	4	2	no	—
943	C₂²⋊D₅	—	8	1	no	—
944	C₂²⋊D₅	—	8	1	no	—
945	C₂²⋊D₅	—	8	1	no	—
946	C₂²⋊D₅	—	8	1	no	—
947	C₂×Dic₅	—	2	2	no	—
948	C₂×Dic₅	—	2	2	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	4	2	no	—
955	C₂×Dic₅	—	8	1	no	—
956	C₂×Dic₅	—	8	1	no	—
957	C₂×Dic₅	—	8	1	no	—
958	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
960	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
963	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
964	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
965	D₂₀	—	2	1	no	—
966	D₂₀	—	2	1	no	—
967	D₂₀	—	2	1	no	—
968	D₂₀	—	2	1	no	—
969	D₂₀	—	2	1	no	—
970	D₂₀	—	4	2	no	—
971	D₂₀	—	4	2	no	—
972	D₂₀	—	4	2	no	—
973	D₂₀	—	8	1	no	—
974	D₂₀	C₂×#41	1	2	yes	—
975	C₄×D₅	—	2	1	no	—
976	C₄×D₅	—	2	1	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	4	2	no	—
979	C₄×D₅	—	4	2	no	—
980	C₄×D₅	—	4	2	no	—
981	C₄×D₅	—	4	2	no	—
982	C₄×D₅	—	8	1	no	—
983	C₄×D₅	—	8	1	no	—
984	C₄×D₅	—	8	1	no	—
985	C₄×D₅	—	8	1	no	—
986	C₄×D₅	—	8	1	no	—
987	C₄×D₅	—	8	1	no	—
988	C₄×D₅	—	8	1	no	—
989	C₄×D₅	—	8	1	no	—
990	Dic₁₀	—	2	2	no	—
991	Dic₁₀	—	2	1	no	—
992	Dic₁₀	—	2	1	no	—
993	Dic₁₀	—	4	2	no	—
994	Dic₁₀	—	8	1	no	—
995	Dic₁₀	—	8	1	no	—
996	Dic₁₀	—	8	1	no	—
997	Dic₁₀	—	8	1	no	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	C₅×C₈	—	2	1	no	—
1001	C₅×C₈	—	2	1	no	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	#168	—	2	1	no	—
1005	#168	C₂×#41	1	2	yes	—
1006	C₂×#41	—	5	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂×#41	—	5	1	no	—
1009	C₂×#41	—	10	1	no	—
1010	C₂×#41	—	10	1	no	—
1011	C₂×#41	—	10	1	no	—
1012	C₂×#41	—	10	1	no	—
1013	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1014	C₂²×Q₈	—	10	1	no	—
1015	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1016	C₂²×D₄	—	5	1	no	—
1017	C₂³×C₄	—	10	1	no	—
1018	#135	—	10	4	no	—
1019	#135	—	10	4	no	—
1020	C₂×Q₁₆	—	5	1	no	—
1021	C₂×Q₁₆	—	5	1	no	—
1022	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1023	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1024	C₂×SD₁₆	—	5	1	no	—
1025	C₂×SD₁₆	—	5	1	no	—
1026	C₂×SD₁₆	—	5	1	no	—
1027	C₂×SD₁₆	—	5	1	no	—
1028	C₂×SD₁₆	—	5	1	no	—
1029	C₂×SD₁₆	—	5	1	no	—
1030	C₂×SD₁₆	—	5	1	no	—
1031	C₂×SD₁₆	—	10	4	no	—
1032	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1033	C₂×D₈	—	5	1	no	—
1034	C₂×D₈	—	5	1	no	—
1035	C₂×D₈	—	5	1	no	—
1036	C₂×D₈	—	5	1	no	—
1037	C₂×M₁₆	—	5	1	no	—
1038	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1039	C₂²×C₈	—	5	1	no	—
1040	C₂²×C₈	—	5	1	no	—
1041	C₂²×C₈	—	5	1	no	—
1042	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1043	C₄⋊Q₈	—	5	1	no	—
1044	C₄⋊Q₈	—	5	1	no	—
1045	C₄⋊Q₈	—	5	1	no	—
1046	C₄⋊Q₈	—	5	1	no	—
1047	C₄⋊Q₈	—	5	1	no	—
1048	C₄⋊Q₈	—	5	1	no	—
1049	C₄⋊Q₈	—	10	1	no	—
1050	C₄⋊Q₈	—	10	1	no	—
1051	C₄⋊Q₈	—	10	1	no	—
1052	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1053	#127	—	5	1	no	—
1054	#127	—	10	1	no	—
1055	#126	—	5	1	no	—
1056	#126	—	5	1	no	—
1057	#126	—	10	1	no	—
1058	#126	—	10	1	no	—
1059	#126	—	10	1	no	—
1060	#126	—	10	1	no	—
1061	#126	—	10	1	no	—
1062	#126	—	10	1	no	—
1063	#125	—	2	1	no	—
1064	#125	—	5	1	no	—
1065	#125	—	10	1	no	—
1066	#125	—	10	1	no	—
1067	#125	—	10	1	no	—
1068	#124	—	2	1	no	—
1069	#124	—	5	1	no	—
1070	#124	—	5	1	no	—
1071	#124	—	5	1	no	—
1072	#124	—	5	1	no	—
1073	#124	—	10	1	no	—
1074	#124	—	10	1	no	—
1075	#124	—	10	1	no	—
1076	#124	—	10	1	no	—
1077	#124	—	10	1	no	—
1078	#124	—	10	1	no	—
1079	#124	—	10	1	no	—
1080	#124	C₂²×D₅	1	1	yes	characteristic
1081	#123	—	5	1	no	—
1082	#123	—	5	1	no	—
1083	#123	—	10	1	no	—
1084	#123	—	10	1	no	—
1085	#123	—	10	1	no	—
1086	#123	—	10	1	no	—
1087	#123	—	10	1	no	—
1088	#123	—	10	1	no	—
1089	#123	—	10	1	no	—
1090	#123	—	10	1	no	—
1091	#123	—	10	1	no	—
1092	#123	—	10	1	no	—
1093	#123	—	10	1	no	—
1094	#123	—	10	1	no	—
1095	#123	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	C₂²⋊Q₈	—	2	1	no	—
1100	C₂²⋊Q₈	—	2	1	no	—
1101	C₂²⋊Q₈	—	2	1	no	—
1102	C₂²⋊Q₈	—	5	1	no	—
1103	C₂²⋊Q₈	—	5	1	no	—
1104	C₂²⋊Q₈	—	5	1	no	—
1105	C₂²⋊Q₈	—	5	1	no	—
1106	C₂²⋊Q₈	—	10	1	no	—
1107	C₂²⋊Q₈	—	10	1	no	—
1108	C₂²⋊Q₈	—	10	1	no	—
1109	C₂²⋊Q₈	—	10	1	no	—
1110	C₂²⋊Q₈	—	10	1	no	—
1111	C₂²⋊Q₈	—	10	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	—	10	1	no	—
1123	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1124	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1125	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1126	#121	—	2	1	no	—
1127	#121	—	5	1	no	—
1128	#121	—	5	1	no	—
1129	#121	—	5	1	no	—
1130	#121	—	5	1	no	—
1131	#121	—	5	1	no	—
1132	#121	—	5	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	—	10	1	no	—
1139	#121	—	10	1	no	—
1140	#121	C₂²×D₅	1	1	yes	characteristic
1141	#120	—	10	1	no	—
1142	#120	—	10	1	no	—
1143	C₄×Q₈	—	5	1	no	—
1144	C₄×Q₈	—	5	1	no	—
1145	C₄×Q₈	—	5	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×Q₈	—	5	1	no	—
1149	C₄×Q₈	—	5	1	no	—
1150	C₄×Q₈	—	5	1	no	—
1151	C₄×Q₈	—	5	1	no	—
1152	C₄×Q₈	—	10	1	no	—
1153	C₄×Q₈	—	10	1	no	—
1154	C₄×Q₈	—	10	1	no	—
1155	C₄×Q₈	—	10	1	no	—
1156	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1157	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1158	C₄×D₄	—	2	1	no	—
1159	C₄×D₄	—	2	1	no	—
1160	C₄×D₄	—	5	1	no	—
1161	C₄×D₄	—	5	1	no	—
1162	C₄×D₄	—	5	1	no	—
1163	C₄×D₄	—	5	1	no	—
1164	C₄×D₄	—	5	1	no	—
1165	C₄×D₄	—	5	1	no	—
1166	C₄×D₄	—	5	1	no	—
1167	C₄×D₄	—	5	1	no	—
1168	C₄×D₄	—	5	1	no	—
1169	C₄×D₄	—	5	1	no	—
1170	C₄×D₄	—	5	1	no	—
1171	C₄×D₄	—	5	1	no	—
1172	C₄×D₄	—	10	1	no	—
1173	C₄×D₄	—	10	1	no	—
1174	C₄×D₄	—	10	1	no	—
1175	C₄×D₄	—	10	1	no	—
1176	C₄×D₄	—	10	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	—	10	1	no	—
1185	C₄×D₄	—	10	1	no	—
1186	C₄×D₄	—	10	1	no	—
1187	C₄×D₄	—	10	1	no	—
1188	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1189	#117	—	5	1	no	—
1190	#117	—	5	1	no	—
1191	#117	—	10	1	no	—
1192	#117	—	10	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	C₂×C₄⋊C₄	—	5	1	no	—
1198	C₂×C₄⋊C₄	—	5	1	no	—
1199	C₂×C₄⋊C₄	—	5	1	no	—
1200	C₂×C₄⋊C₄	—	5	1	no	—
1201	C₂×C₄⋊C₄	—	10	1	no	—
1202	C₂×C₄⋊C₄	—	10	1	no	—
1203	C₂×C₄⋊C₄	—	10	1	no	—
1204	C₂×C₄⋊C₄	—	10	1	no	—
1205	C₂×C₄⋊C₄	—	10	1	no	—
1206	C₂×C₄⋊C₄	—	10	1	no	—
1207	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1208	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1209	C₂×C₂²⋊C₄	—	10	1	no	—
1210	C₂×C₂²⋊C₄	—	10	1	no	—
1211	C₂×C₂²⋊C₄	—	10	1	no	—
1212	C₂×C₄²	—	5	1	no	—
1213	C₂×C₄²	—	10	1	no	—
1214	#106	—	5	1	no	—
1215	#106	—	5	1	no	—
1216	#106	—	5	1	no	—
1217	#106	—	5	1	no	—
1218	#106	—	5	1	no	—
1219	#106	—	5	1	no	—
1220	#106	—	5	1	no	—
1221	#106	—	5	1	no	—
1222	#106	—	5	1	no	—
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	—	5	1	no	—
1227	#106	C₂²×D₅	1	1	yes	characteristic
1228	#106	C₂²×D₅	1	1	yes	characteristic
1229	#106	C₂²×D₅	1	1	yes	characteristic
1230	C₄⋊C₈	—	5	1	no	—
1231	C₄⋊C₈	—	5	1	no	—
1232	C₄⋊C₈	—	5	1	no	—
1233	C₄⋊C₈	—	5	1	no	—
1234	C₄⋊C₈	—	5	1	no	—
1235	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	C₂²×D₅	1	1	yes	characteristic
1246	#103	C₂²×D₅	1	1	yes	characteristic
1247	#103	C₂²×D₅	1	1	yes	characteristic
1248	#103	C₂²×D₅	1	1	yes	characteristic
1249	#103	C₂²×D₅	1	1	yes	characteristic
1250	#103	C₂²×D₅	1	1	yes	characteristic
1251	#103	C₂²×D₅	1	1	yes	characteristic
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	—	5	1	no	—
1260	#102	—	5	1	no	—
1261	#102	—	5	1	no	—
1262	#102	—	5	1	no	—
1263	#102	—	5	1	no	—
1264	#102	—	5	1	no	—
1265	#102	C₂²×D₅	1	1	yes	characteristic
1266	#102	C₂²×D₅	1	1	yes	characteristic
1267	#102	C₂²×D₅	1	1	yes	characteristic
1268	C₂²⋊C₈	—	5	1	no	—
1269	C₂²⋊C₈	—	5	1	no	—
1270	C₂²⋊C₈	—	5	1	no	—
1271	C₂²⋊C₈	—	5	1	no	—
1272	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1273	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1274	#97	—	5	1	no	—
1275	#97	—	5	1	no	—
1276	#97	—	5	1	no	—
1277	#97	C₂²×D₅	1	1	yes	characteristic
1278	C₄×C₈	—	5	1	no	—
1279	C₄×C₈	—	5	1	no	—
1280	C₄×C₈	—	5	1	no	—
1281	C₄×C₈	—	5	1	no	—
1282	C₄×C₈	—	5	1	no	—
1283	C₄×C₈	—	5	1	no	—
1284	C₂²×C₅	—	2	1	no	—
1285	C₂²×C₅	—	2	1	no	—
1286	C₂²×C₅	—	2	1	no	—
1287	C₂²×C₅	—	2	1	no	—
1288	C₂²×C₅	—	2	1	no	—
1289	C₂²×C₅	—	4	1	no	—
1290	C₂²×C₅	—	4	1	no	—
1291	C₂²×C₅	—	4	1	no	—
1292	C₂²×C₅	#577	1	2	yes	—
1293	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	2	2	no	—
1296	C₂×D₅	—	2	1	no	—
1297	C₂×D₅	—	2	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	4	1	no	—
1301	C₂×D₅	—	4	1	no	—
1302	C₂×D₅	—	4	1	no	—
1303	C₂×D₅	—	4	1	no	—
1304	C₂×D₅	—	4	1	no	—
1305	C₂×D₅	—	4	1	no	—
1306	C₂×D₅	—	8	4	no	—
1307	C₄×C₅	—	2	1	no	—
1308	C₄×C₅	—	2	2	no	—
1309	C₄×C₅	—	2	1	no	—
1310	C₄×C₅	—	2	1	no	—
1311	C₄×C₅	—	2	1	no	—
1312	C₄×C₅	—	4	1	no	—
1313	C₄×C₅	—	4	1	no	—
1314	C₄×C₅	—	4	1	no	—
1315	C₄×C₅	—	4	1	no	—
1316	C₄×C₅	—	4	1	no	—
1317	C₄×C₅	—	4	1	no	—
1318	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1319	C₄×C₅	#585	1	1	yes	characteristic
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	2	1	no	—
1322	Dic₅	—	2	1	no	—
1323	Dic₅	—	2	1	no	—
1324	Dic₅	—	2	1	no	—
1325	Dic₅	—	2	1	no	—
1326	Dic₅	—	4	1	no	—
1327	Dic₅	—	4	1	no	—
1328	Dic₅	—	4	1	no	—
1329	Dic₅	—	4	1	no	—
1330	Dic₅	—	4	1	no	—
1331	Dic₅	#577	1	2	yes	—
1332	C₂⁴	—	10	1	no	—
1333	#41	—	2	2	no	—
1334	#41	—	4	1	no	—
1335	#41	—	10	2	no	—
1336	#41	—	10	2	no	—
1337	#41	—	10	2	no	—
1338	#41	—	20	1	no	—
1339	#41	—	20	1	no	—
1340	#41	—	20	1	no	—
1341	#41	—	40	2	no	—
1342	#41	—	40	2	no	—
1343	#41	—	40	2	no	—
1344	#41	—	40	2	no	—
1345	C₂×Q₈	—	2	1	no	—
1346	C₂×Q₈	—	2	1	no	—
1347	C₂×Q₈	—	2	2	no	—
1348	C₂×Q₈	—	4	1	no	—
1349	C₂×Q₈	—	5	1	no	—
1350	C₂×Q₈	—	5	1	no	—
1351	C₂×Q₈	—	10	1	no	—
1352	C₂×Q₈	—	10	1	no	—
1353	C₂×Q₈	—	10	1	no	—
1354	C₂×Q₈	—	10	1	no	—
1355	C₂×Q₈	—	10	1	no	—
1356	C₂×Q₈	—	40	2	no	—
1357	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1360	C₂×D₄	—	2	1	no	—
1361	C₂×D₄	—	2	1	no	—
1362	C₂×D₄	—	5	1	no	—
1363	C₂×D₄	—	5	1	no	—
1364	C₂×D₄	—	5	1	no	—
1365	C₂×D₄	—	5	1	no	—
1366	C₂×D₄	—	5	1	no	—
1367	C₂×D₄	—	10	2	no	—
1368	C₂×D₄	—	10	1	no	—
1369	C₂×D₄	—	10	1	no	—
1370	C₂×D₄	—	10	1	no	—
1371	C₂×D₄	—	10	1	no	—
1372	C₂×D₄	—	10	1	no	—
1373	C₂×D₄	—	10	1	no	—
1374	C₂×D₄	—	10	1	no	—
1375	C₂×D₄	—	10	1	no	—
1376	C₂×D₄	—	10	1	no	—
1377	C₂×D₄	—	10	1	no	—
1378	C₂×D₄	—	10	1	no	—
1379	C₂×D₄	—	20	1	no	—
1380	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1381	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1382	C₂²×C₄	—	2	1	no	—
1383	C₂²×C₄	—	2	1	no	—
1384	C₂²×C₄	—	2	1	no	—
1385	C₂²×C₄	—	2	1	no	—
1386	C₂²×C₄	—	5	1	no	—
1387	C₂²×C₄	—	5	1	no	—
1388	C₂²×C₄	—	5	1	no	—
1389	C₂²×C₄	—	10	1	no	—
1390	C₂²×C₄	—	10	1	no	—
1391	C₂²×C₄	—	10	1	no	—
1392	C₂²×C₄	—	10	1	no	—
1393	C₂²×C₄	—	10	1	no	—
1394	C₂²×C₄	—	10	1	no	—
1395	C₂²×C₄	—	10	1	no	—
1396	C₂²×C₄	—	10	1	no	—
1397	C₂²×C₄	—	10	1	no	—
1398	C₂²×C₄	—	10	1	no	—
1399	C₂²×C₄	—	10	1	no	—
1400	C₂²×C₄	—	10	1	no	—
1401	C₂²×C₄	—	10	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	40	2	no	—
1407	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1408	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1409	Q₁₆	—	2	2	no	—
1410	Q₁₆	—	4	1	no	—
1411	Q₁₆	—	10	2	no	—
1412	Q₁₆	—	20	1	no	—
1413	SD₁₆	—	4	1	no	—
1414	SD₁₆	—	5	4	no	—
1415	SD₁₆	—	10	2	no	—
1416	SD₁₆	—	10	2	no	—
1417	SD₁₆	—	10	2	no	—
1418	SD₁₆	—	10	2	no	—
1419	SD₁₆	—	10	2	no	—
1420	SD₁₆	—	20	1	no	—
1421	D₈	—	10	2	no	—
1422	D₈	—	10	2	no	—
1423	D₈	—	20	1	no	—
1424	D₈	—	20	1	no	—
1425	M₁₆	—	4	1	no	—
1426	M₁₆	—	20	1	no	—
1427	C₂×C₈	—	4	1	no	—
1428	C₂×C₈	—	5	1	no	—
1429	C₂×C₈	—	5	1	no	—
1430	C₂×C₈	—	5	1	no	—
1431	C₂×C₈	—	5	1	no	—
1432	C₂×C₈	—	10	2	no	—
1433	C₂×C₈	—	10	2	no	—
1434	C₂×C₈	—	10	2	no	—
1435	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1436	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1437	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1438	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	2	1	no	—
1444	C₄⋊C₄	—	2	1	no	—
1445	C₄⋊C₄	—	2	1	no	—
1446	C₄⋊C₄	—	2	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1483	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1484	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1485	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1486	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1487	C₂²⋊C₄	—	2	1	no	—
1488	C₂²⋊C₄	—	2	1	no	—
1489	C₂²⋊C₄	—	2	1	no	—
1490	C₂²⋊C₄	—	2	1	no	—
1491	C₂²⋊C₄	—	2	1	no	—
1492	C₂²⋊C₄	—	2	1	no	—
1493	C₂²⋊C₄	—	5	1	no	—
1494	C₂²⋊C₄	—	5	1	no	—
1495	C₂²⋊C₄	—	5	1	no	—
1496	C₂²⋊C₄	—	5	1	no	—
1497	C₂²⋊C₄	—	5	1	no	—
1498	C₂²⋊C₄	—	5	1	no	—
1499	C₂²⋊C₄	—	5	1	no	—
1500	C₂²⋊C₄	—	5	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1526	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	5	1	no	—
1530	C₄²	—	5	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	10	1	no	—
1535	C₄²	—	10	1	no	—
1536	C₄²	—	10	1	no	—
1537	C₄²	—	10	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	C₂³×D₅	1	1	yes	characteristic
1543	C₂×C₅	—	2	2	no	—
1544	C₂×C₅	—	4	1	no	—
1545	C₂×C₅	—	8	1	no	—
1546	C₂×C₅	D₄×#41	1	1	yes	characteristic
1547	C₂×C₅	C₂×#577	1	1	yes	characteristic
1548	C₂×C₅	C₂×#577	1	1	yes	characteristic
1549	D₅	—	4	1	no	—
1550	D₅	—	4	2	no	—
1551	D₅	—	8	1	no	—
1552	D₅	—	8	1	no	—
1553	C₂³	—	2	1	no	—
1554	C₂³	—	5	1	no	—
1555	C₂³	—	10	1	no	—
1556	C₂³	—	10	1	no	—
1557	C₂³	—	10	1	no	—
1558	C₂³	—	20	2	no	—
1559	C₂³	—	20	2	no	—
1560	C₂³	—	40	1	no	—
1561	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1562	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1563	Q₈	—	2	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	4	2	no	—
1569	Q₈	—	8	1	no	—
1570	Q₈	—	10	2	no	—
1571	Q₈	—	10	1	no	—
1572	Q₈	—	10	1	no	—
1573	Q₈	—	20	2	no	—
1574	Q₈	—	40	1	no	—
1575	Q₈	—	40	1	no	—
1576	Q₈	—	40	1	no	—
1577	Q₈	—	40	1	no	—
1578	Q₈	D₅×#41	1	2	yes	—
1579	D₄	—	2	2	no	—
1580	D₄	—	2	1	no	—
1581	D₄	—	2	1	no	—
1582	D₄	—	4	2	no	—
1583	D₄	—	4	2	no	—
1584	D₄	—	5	2	no	—
1585	D₄	—	10	2	no	—
1586	D₄	—	10	2	no	—
1587	D₄	—	10	1	no	—
1588	D₄	—	10	1	no	—
1589	D₄	—	10	1	no	—
1590	D₄	—	10	1	no	—
1591	D₄	—	10	1	no	—
1592	D₄	—	20	2	no	—
1593	D₄	—	20	2	no	—
1594	D₄	—	20	2	no	—
1595	D₄	—	20	2	no	—
1596	D₄	—	20	2	no	—
1597	D₄	—	20	2	no	—
1598	D₄	—	40	1	no	—
1599	D₄	—	40	1	no	—
1600	D₄	—	40	1	no	—
1601	D₄	—	40	1	no	—
1602	D₄	—	40	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	1	no	—
1609	C₂×C₄	—	2	1	no	—
1610	C₂×C₄	—	2	1	no	—
1611	C₂×C₄	—	2	1	no	—
1612	C₂×C₄	—	2	1	no	—
1613	C₂×C₄	—	2	1	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	5	1	no	—
1617	C₂×C₄	—	5	1	no	—
1618	C₂×C₄	—	5	1	no	—
1619	C₂×C₄	—	5	1	no	—
1620	C₂×C₄	—	5	1	no	—
1621	C₂×C₄	—	5	1	no	—
1622	C₂×C₄	—	5	1	no	—
1623	C₂×C₄	—	8	1	no	—
1624	C₂×C₄	—	8	1	no	—
1625	C₂×C₄	—	10	2	no	—
1626	C₂×C₄	—	10	2	no	—
1627	C₂×C₄	—	10	1	no	—
1628	C₂×C₄	—	10	1	no	—
1629	C₂×C₄	—	10	1	no	—
1630	C₂×C₄	—	10	1	no	—
1631	C₂×C₄	—	10	1	no	—
1632	C₂×C₄	—	10	1	no	—
1633	C₂×C₄	—	10	1	no	—
1634	C₂×C₄	—	20	2	no	—
1635	C₂×C₄	—	20	2	no	—
1636	C₂×C₄	—	20	2	no	—
1637	C₂×C₄	—	20	2	no	—
1638	C₂×C₄	—	20	2	no	—
1639	C₂×C₄	—	20	2	no	—
1640	C₂×C₄	—	40	1	no	—
1641	C₂×C₄	—	40	1	no	—
1642	C₂×C₄	—	40	1	no	—
1643	C₂×C₄	—	40	1	no	—
1644	C₂×C₄	—	40	1	no	—
1645	C₂×C₄	—	40	1	no	—
1646	C₂×C₄	—	40	1	no	—
1647	C₂×C₄	—	40	1	no	—
1648	C₂×C₄	—	40	1	no	—
1649	C₂×C₄	—	40	1	no	—
1650	C₂×C₄	—	40	1	no	—
1651	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1652	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1653	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1654	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1655	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	5	2	no	—
1661	C₈	—	10	1	no	—
1662	C₈	—	10	1	no	—
1663	C₈	—	10	1	no	—
1664	C₅	#61483	1	1	yes	characteristic, complemented, Sylow
1665	C₂²	—	2	1	no	—
1666	C₂²	—	2	1	no	—
1667	C₂²	—	2	1	no	—
1668	C₂²	—	2	1	no	—
1669	C₂²	—	2	1	no	—
1670	C₂²	—	4	1	no	—
1671	C₂²	—	4	1	no	—
1672	C₂²	—	4	1	no	—
1673	C₂²	—	10	1	no	—
1674	C₂²	—	10	2	no	—
1675	C₂²	—	10	1	no	—
1676	C₂²	—	10	1	no	—
1677	C₂²	—	20	1	no	—
1678	C₂²	—	20	1	no	—
1679	C₂²	—	20	1	no	—
1680	C₂²	—	20	1	no	—
1681	C₂²	—	20	1	no	—
1682	C₂²	—	20	1	no	—
1683	C₂²	—	20	1	no	—
1684	C₂²	—	20	1	no	—
1685	C₂²	—	40	4	no	—
1686	C₂²	#66112	1	2	yes	—
1687	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1688	C₄	—	2	1	no	—
1689	C₄	—	2	1	no	—
1690	C₄	—	2	2	no	—
1691	C₄	—	2	1	no	—
1692	C₄	—	2	1	no	—
1693	C₄	—	4	1	no	—
1694	C₄	—	4	1	no	—
1695	C₄	—	4	1	no	—
1696	C₄	—	4	1	no	—
1697	C₄	—	4	1	no	—
1698	C₄	—	4	1	no	—
1699	C₄	—	5	2	no	—
1700	C₄	—	10	1	no	—
1701	C₄	—	10	1	no	—
1702	C₄	—	10	1	no	—
1703	C₄	—	10	1	no	—
1704	C₄	—	10	1	no	—
1705	C₄	—	10	1	no	—
1706	C₄	—	20	1	no	—
1707	C₄	—	20	1	no	—
1708	C₄	—	20	1	no	—
1709	C₄	—	20	1	no	—
1710	C₄	—	20	1	no	—
1711	C₄	C₂×D₅×#41	1	1	yes	characteristic
1712	C₄	#66285	1	1	yes	characteristic
1713	C₂	—	2	2	no	—
1714	C₂	—	4	1	no	—
1715	C₂	—	8	1	no	—
1716	C₂	—	20	1	no	—
1717	C₂	—	20	2	no	—
1718	C₂	—	40	1	no	—
1719	C₂	—	40	1	no	—
1720	C₂	#10618527	1	1	yes	characteristic
1721	C₂	C₂×#66112	1	1	yes	characteristic
1722	C₂	D₅×#577	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×#3316	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3316	D₅
hypocenter	C₅	#61483
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3316

Complements

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

N	H ≅ G/N	type
1. #10618835	C₂	semidirect
2. #10618623	C₂	semidirect
3. C₅×#3316	C₂	semidirect
4. #10615353	C₂	semidirect
5. #10615276	C₂	semidirect
6. #10613405	C₂	semidirect
7. #10613397	C₂	semidirect
8. #10613166	C₂	semidirect
9. #10613148	C₂	semidirect
10. #10613051	C₂	semidirect
11. #10613041	C₂	semidirect
12. #10612770	C₂	semidirect
13. #10612732	C₂	semidirect
14. #10612656	C₂	semidirect
15. #10612620	C₂	semidirect
16. #10612414	C₂	semidirect
17. #10612363	C₂	semidirect
18. #10612320	C₂	semidirect
19. #10612306	C₂	semidirect
20. #10612001	C₂	semidirect
21. #10611950	C₂	semidirect
22. #10611938	C₂	semidirect
23. #10611905	C₂	semidirect
24. #10611563	C₂	semidirect
25. #10611546	C₂	semidirect
26. #10611230	C₂	semidirect
27. #10611185	C₂	semidirect
28. #10610639	C₂	semidirect
29. #10610600	C₂	semidirect
30. #10610542	C₂	semidirect
31. C₂×#65077	C₂	semidirect
34. #66168	C₂²	semidirect
35. #66161	C₂²	semidirect
46. #66016	C₂²	semidirect
48. #66015	C₂²	semidirect
51. #65977	C₂²	semidirect
55. #65969	C₂²	semidirect
66. #65908	C₂²	semidirect
68. Q₈×Dic₁₀	C₂²	semidirect
80. C₅×#489	C₂²	semidirect
81. C₅×#483	C₂²	semidirect
83. C₅×#475	C₂²	semidirect
84. C₅×#470	C₂²	semidirect
86. C₅×#464	C₂²	semidirect
87. C₅×#452	C₂²	semidirect
89. C₅×#441	C₂²	semidirect
91. C₅×#417	C₂²	semidirect
98. #65473	C₂²	semidirect
99. #65473	C₂²	semidirect
100. #65471	C₂²	semidirect
101. #65471	C₂²	semidirect
102. #65464	C₂²	semidirect
105. SD₁₆×Dic₅	C₂²	semidirect
108. #65417	C₂²	semidirect
109. #65411	C₂²	semidirect
114. #65373	C₂²	semidirect
115. #65368	C₂²	semidirect
120. #65337	C₂²	semidirect
123. #65332	C₂²	semidirect
128. C₄×#688	C₂²	semidirect
129. #65309	C₂²	semidirect
132. #65257	C₂²	semidirect
134. C₂×#3940	C₂²	semidirect
141. #65151	C₂²	semidirect
142. D₅×#106	C₂²	semidirect
143. #65144	C₂²	semidirect
144. #65144	C₂²	semidirect
145. #65143	C₂²	semidirect
146. #65141	C₂²	semidirect
149. #65129	C₂²	semidirect
150. #65119	C₂²	semidirect
152. #65105	C₂²	semidirect
154. #65099	C₂²	semidirect
156. #65094	C₂²	semidirect
158. #65092	C₂²	semidirect
159. #65087	C₂²	semidirect
161. #65084	C₂²	semidirect
162. #65081	C₂²	semidirect
163. #65080	C₂²	semidirect
164. #65080	C₂²	semidirect
165. #65080	C₂²	semidirect
166. #65078	C₂²	semidirect
167. #65078	C₂²	semidirect
168. #65078	C₂²	semidirect
178. #65077	C₂²	semidirect
185. #65067	C₂²	semidirect
186. #65066	C₂²	semidirect
187. #65050	C₂²	semidirect
188. #65049	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65047	C₂²	semidirect
195. #65014	C₂²	semidirect
197. #65009	C₂²	semidirect
201. #64997	C₂²	semidirect
202. #64990	C₂²	semidirect
494. #3316	D₅	semidirect
637. #688	#41	semidirect
781. #489	C₂×D₅	semidirect
789. #483	C₂×D₅	semidirect
807. #475	C₂×D₅	semidirect
809. #470	C₂×D₅	semidirect
823. #464	C₂×D₅	semidirect
835. #452	C₂×D₅	semidirect
857. #441	C₂×D₅	semidirect
889. #417	C₂×D₅	semidirect
1664. C₅	#61483	semidirect

Maximal subgroups

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

subgroup	index
#10618835	2
#10618623	2
C₅×#3316	2
#10615353	2
#10615276	2
#10613405	2
#10613397	2
#10613166	2
#10613148	2
#10613051	2
#10613041	2
#10612770	2
#10612732	2
#10612656	2
#10612620	2
#10612414	2
#10612363	2
#10612320	2
#10612306	2
#10612001	2
#10611950	2
#10611938	2
#10611905	2
#10611563	2
#10611546	2
#10611230	2
#10611185	2
#10610639	2
#10610600	2
#10610542	2
C₂×#65077	2
#61483	5