Subgroups — #12996252

Order 1280.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618939	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618834	C₂	1	1	yes	maximal, characteristic
3	C₅×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615421	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615363	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613726	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613724	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613717	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613709	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613656	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613653	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612987	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612985	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612945	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612945	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612920	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612920	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612900	C₂	1	1	yes	maximal, characteristic, complemented
19	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612806	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612793	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612762	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612733	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611711	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611677	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611531	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611531	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611518	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611510	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611407	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611390	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic, complemented
33	C₅×#554	C₂²	1	1	yes	characteristic
34	#66069	—	2	1	no	—
35	#66068	C₂²	1	1	yes	characteristic
36	#66064	C₂²	1	1	yes	characteristic, complemented
37	#66063	—	2	1	no	—
38	#66063	C₂²	1	1	yes	characteristic, complemented
39	#66059	C₂²	1	1	yes	characteristic
40	#66032	C₂²	1	1	yes	characteristic
41	#66032	C₂²	1	1	yes	characteristic
42	#66030	—	2	1	no	—
43	#66029	C₂²	1	1	yes	characteristic
44	#66029	C₂²	1	1	yes	characteristic
45	#66028	C₂²	1	1	yes	characteristic, complemented
46	#66028	C₂²	1	1	yes	characteristic, complemented
47	#66027	—	2	1	no	—
48	#66026	—	2	1	no	—
49	#66023	C₂²	1	1	yes	characteristic, complemented
50	D₅×#125	C₂²	1	1	yes	characteristic, complemented
51	C₅⋊#564	—	2	1	no	—
52	#65978	—	2	1	no	—
53	#65978	—	2	1	no	—
54	#65964	—	2	1	no	—
55	#65964	—	2	1	no	—
56	#65964	—	2	1	no	—
57	#65961	—	2	1	no	—
58	#65917	—	2	1	no	—
59	#65917	C₂²	1	1	yes	characteristic, complemented
60	#65917	C₂²	1	1	yes	characteristic, complemented
61	#65915	—	2	1	no	—
62	#65915	C₂²	1	1	yes	characteristic, complemented
63	#65915	C₂²	1	1	yes	characteristic, complemented
64	#65914	C₂²	1	1	yes	characteristic
65	#65913	C₂²	1	1	yes	characteristic, complemented
66	#65912	C₂²	1	1	yes	characteristic, complemented
67	#65911	C₂²	1	1	yes	characteristic
68	#65901	C₂²	1	1	yes	characteristic, complemented
69	D₄×D₂₀	C₂²	1	1	yes	characteristic
70	D₄×D₂₀	C₂²	1	1	yes	characteristic
71	D₄×D₂₀	C₂²	1	1	yes	characteristic
72	#65879	C₂²	1	1	yes	characteristic
73	#65879	C₂²	1	1	yes	characteristic
74	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
75	#65848	—	2	1	no	—
76	C₂×#4041	—	2	1	no	—
77	C₅×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅×#499	C₂²	1	1	yes	characteristic, complemented
80	C₅×#479	C₂²	1	1	yes	characteristic, complemented
81	C₅×#479	C₂²	1	1	yes	characteristic, complemented
82	C₅×#478	C₂²	1	1	yes	characteristic
83	C₅×#478	C₂²	1	1	yes	characteristic
84	C₅×#476	C₂²	1	1	yes	characteristic
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#446	C₂²	1	1	yes	characteristic, complemented
87	C₅×#440	C₂²	1	1	yes	characteristic
88	C₅×#440	C₂²	1	1	yes	characteristic
89	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
90	#65458	C₂²	1	1	yes	characteristic
91	#65458	C₂²	1	1	yes	characteristic
92	#65458	C₂²	1	1	yes	characteristic
93	#65451	C₂²	1	1	yes	characteristic
94	#65383	C₂²	1	1	yes	characteristic, complemented
95	#65377	C₂²	1	1	yes	characteristic, complemented
96	#65376	C₂²	1	1	yes	characteristic, complemented
97	#65369	C₂²	1	1	yes	characteristic, complemented
98	#65356	C₂²	1	1	yes	characteristic, complemented
99	#65356	C₂²	1	1	yes	characteristic, complemented
100	#65355	C₂²	1	1	yes	characteristic, complemented
101	#65355	C₂²	1	1	yes	characteristic, complemented
102	#65354	C₂²	1	1	yes	characteristic, complemented
103	#65353	C₂²	1	1	yes	characteristic, complemented
104	#65352	C₂²	1	1	yes	characteristic, complemented
105	#65352	C₂²	1	1	yes	characteristic, complemented
106	#65316	C₂²	1	1	yes	characteristic, complemented
107	#65316	C₂²	1	1	yes	characteristic, complemented
108	#65316	C₂²	1	1	yes	characteristic, complemented
109	#65315	C₂²	1	1	yes	characteristic, complemented
110	#65315	C₂²	1	1	yes	characteristic, complemented
111	C₄×#688	C₂²	1	1	yes	characteristic, complemented
112	#65313	C₂²	1	1	yes	characteristic, complemented
113	#65307	C₂²	1	1	yes	characteristic
114	#65307	C₂²	1	1	yes	characteristic
115	C₄×#687	C₂²	1	1	yes	characteristic
116	#65298	C₂²	1	1	yes	characteristic
117	#65298	C₂²	1	1	yes	characteristic
118	#65297	C₂²	1	1	yes	characteristic
119	#65180	C₂²	1	1	yes	characteristic, complemented
120	#65180	C₂²	1	1	yes	characteristic, complemented
121	#65180	C₂²	1	1	yes	characteristic, complemented
122	#65179	C₂²	1	1	yes	characteristic, complemented
123	#65177	C₂²	1	1	yes	characteristic, complemented
124	#65175	C₂²	1	1	yes	characteristic, complemented
125	#65175	C₂²	1	1	yes	characteristic, complemented
126	#65174	C₂²	1	1	yes	characteristic, complemented
127	#65174	C₂²	1	1	yes	characteristic, complemented
128	#65173	C₂²	1	1	yes	characteristic, complemented
129	#65171	C₂²	1	1	yes	characteristic, complemented
130	#65171	C₂²	1	1	yes	characteristic, complemented
131	#65171	C₂²	1	1	yes	characteristic, complemented
132	#65171	C₂²	1	1	yes	characteristic, complemented
133	#65169	C₂²	1	1	yes	characteristic, complemented
134	D₅×#107	C₂²	1	1	yes	characteristic, complemented
135	#65160	C₂²	1	1	yes	characteristic, complemented
136	#65160	C₂²	1	1	yes	characteristic, complemented
137	#65160	C₂²	1	1	yes	characteristic, complemented
138	#65159	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic, complemented
140	#65156	C₂²	1	1	yes	characteristic, complemented
141	#65155	C₂²	1	1	yes	characteristic, complemented
142	#65155	C₂²	1	1	yes	characteristic, complemented
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic, complemented
145	#65153	C₂²	1	1	yes	characteristic, complemented
146	#65153	C₂²	1	1	yes	characteristic, complemented
147	#65152	C₂²	1	1	yes	characteristic, complemented
148	#65152	C₂²	1	1	yes	characteristic, complemented
149	#65152	C₂²	1	1	yes	characteristic, complemented
150	#65152	C₂²	1	1	yes	characteristic, complemented
151	#65150	C₂²	1	1	yes	characteristic, complemented
152	#65150	C₂²	1	1	yes	characteristic, complemented
153	#65149	C₂²	1	1	yes	characteristic, complemented
154	D₅×#106	C₂²	1	1	yes	characteristic, complemented
155	#65137	C₂²	1	1	yes	characteristic, complemented
156	#65137	C₂²	1	1	yes	characteristic, complemented
157	#65137	C₂²	1	1	yes	characteristic, complemented
158	#65136	C₂²	1	1	yes	characteristic, complemented
159	#65136	C₂²	1	1	yes	characteristic, complemented
160	#65135	C₂²	1	1	yes	characteristic, complemented
161	#65128	C₂²	1	1	yes	characteristic, complemented
162	#65128	C₂²	1	1	yes	characteristic, complemented
163	#65125	C₂²	1	1	yes	characteristic, complemented
164	#65125	C₂²	1	1	yes	characteristic, complemented
165	#65123	C₂²	1	1	yes	characteristic, complemented
166	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
167	#65107	C₂²	1	1	yes	characteristic, complemented
168	#65107	C₂²	1	1	yes	characteristic, complemented
169	#65107	C₂²	1	1	yes	characteristic, complemented
170	#65104	C₂²	1	1	yes	characteristic, complemented
171	#65103	C₂²	1	1	yes	characteristic, complemented
172	#65101	C₂²	1	1	yes	characteristic, complemented
173	#65101	C₂²	1	1	yes	characteristic, complemented
174	#65098	C₂²	1	1	yes	characteristic, complemented
175	#65096	C₂²	1	1	yes	characteristic, complemented
176	#65096	C₂²	1	1	yes	characteristic, complemented
177	#65096	C₂²	1	1	yes	characteristic, complemented
178	#65096	C₂²	1	1	yes	characteristic, complemented
179	#65065	C₂²	1	1	yes	characteristic
180	#65065	C₂²	1	1	yes	characteristic
181	#65065	C₂²	1	1	yes	characteristic
182	#65059	C₂²	1	1	yes	characteristic
183	#65059	C₂²	1	1	yes	characteristic
184	D₅×#102	C₂²	1	1	yes	characteristic
185	D₅×#102	C₂²	1	1	yes	characteristic
186	D₅×#102	C₂²	1	1	yes	characteristic
187	D₅×#102	C₂²	1	1	yes	characteristic
188	#65055	C₂²	1	1	yes	characteristic
189	#65052	C₂²	1	1	yes	characteristic
190	#65048	C₂²	1	1	yes	characteristic
191	#65002	C₂²	1	1	yes	characteristic, complemented
192	#65002	C₂²	1	1	yes	characteristic, complemented
193	#64999	C₂²	1	1	yes	characteristic, complemented
194	#64999	C₂²	1	1	yes	characteristic, complemented
195	#64998	C₂²	1	1	yes	characteristic, complemented
196	#64995	C₂²	1	1	yes	characteristic, complemented
197	#64995	C₂²	1	1	yes	characteristic, complemented
198	#64994	C₂²	1	1	yes	characteristic, complemented
199	#64983	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
203	#62164	—	5	1	no	maximal, Sylow
204	C₂×#713	—	2	1	no	—
205	C₂×#713	—	2	1	no	—
206	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×D₂₀	—	2	1	no	—
210	C₂²×D₂₀	—	2	1	no	—
211	C₂²×D₂₀	—	2	1	no	—
212	C₂²×C₄×D₅	—	2	1	no	—
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	—	2	1	no	—
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#125	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#125	C₂³	1	1	yes	characteristic
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₅×C₂²⋊Q₈	—	2	1	no	—
226	C₄×C₅×Q₈	—	2	1	no	—
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×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	—	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	—	2	1	no	—
242	#4092	D₄	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	#4090	—	2	1	no	—
247	#4090	—	2	1	no	—
248	#4090	C₂³	1	1	yes	characteristic
249	C₂×#688	C₂³	1	1	yes	characteristic
250	C₂×#688	C₂³	1	1	yes	characteristic
251	C₂×#688	C₂³	1	1	yes	characteristic
252	D₄×Dic₅	C₂³	1	1	yes	characteristic
253	C₂×#687	C₂³	1	1	yes	characteristic
254	#4076	—	2	1	no	—
255	#4076	—	2	1	no	—
256	#4076	—	2	1	no	—
257	C₄×C₂²⋊D₅	—	2	1	no	—
258	C₄×C₂²⋊D₅	—	2	1	no	—
259	C₄×C₂²⋊D₅	—	2	1	no	—
260	C₂×#685	—	2	1	no	—
261	C₂×#685	—	2	1	no	—
262	C₂×#677	C₂³	1	1	yes	characteristic
263	C₂×#677	C₂³	1	1	yes	characteristic
264	C₂×#677	C₂³	1	1	yes	characteristic
265	C₂×#676	C₂³	1	1	yes	characteristic
266	C₂×#676	C₂³	1	1	yes	characteristic
267	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
268	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
269	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
271	#4044	—	2	1	no	—
272	#4044	—	2	1	no	—
273	#4044	—	2	1	no	—
274	#4044	—	2	1	no	—
275	#4044	—	2	1	no	—
276	#4044	—	2	1	no	—
277	#4044	D₄	1	1	yes	characteristic
278	#4044	D₄	1	1	yes	characteristic
279	#4043	—	2	1	no	—
280	#4043	C₂³	1	1	yes	characteristic
281	#4043	C₂³	1	1	yes	characteristic
282	#4043	C₂³	1	1	yes	characteristic
283	#4042	—	2	1	no	—
284	#4042	—	2	1	no	—
285	#4042	—	2	1	no	—
286	#4042	—	2	1	no	—
287	#4042	—	2	1	no	—
288	#4041	—	2	1	no	—
289	#4041	—	2	1	no	—
290	#4041	—	2	1	no	—
291	#4041	—	2	1	no	—
292	#4041	—	2	1	no	—
293	#4041	—	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	D₄	1	1	yes	characteristic
300	#4041	C₂³	1	1	yes	characteristic
301	#4041	C₂³	1	1	yes	characteristic
302	#4041	C₂³	1	1	yes	characteristic
303	#4041	C₂³	1	1	yes	characteristic
304	#4041	C₂³	1	1	yes	characteristic
305	#4041	C₂³	1	1	yes	characteristic
306	#4040	—	2	1	no	—
307	#4040	—	2	1	no	—
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	D₄	1	1	yes	characteristic
317	#4040	D₄	1	1	yes	characteristic
318	#4039	—	2	1	no	—
319	#4039	—	2	1	no	—
320	#4039	—	2	1	no	—
321	#4039	—	2	1	no	—
322	#4039	C₂³	1	1	yes	characteristic
323	#4039	C₂³	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4038	—	2	1	no	—
326	#4038	—	2	1	no	—
327	#4038	—	2	1	no	—
328	#4038	C₂³	1	1	yes	characteristic
329	#4038	C₂³	1	1	yes	characteristic
330	#4038	C₂³	1	1	yes	characteristic
331	#4038	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	—	2	1	no	—
333	D₅×C₄⋊C₄	—	2	1	no	—
334	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
335	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
336	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
337	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
338	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
339	#4036	—	2	1	no	—
340	#4036	—	2	1	no	—
341	#4036	—	2	1	no	—
342	#4036	D₄	1	1	yes	characteristic
343	#4036	C₂³	1	1	yes	characteristic
344	#4036	C₂³	1	1	yes	characteristic
345	#4035	—	2	1	no	—
346	#4035	—	2	1	no	—
347	#4035	—	2	1	no	—
348	#4035	—	2	1	no	—
349	#4035	—	2	1	no	—
350	#4035	—	2	1	no	—
351	#4035	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4034	—	2	1	no	—
357	#4034	C₂³	1	1	yes	characteristic
358	#4033	—	2	1	no	—
359	#4028	—	2	1	no	—
360	#4028	—	2	1	no	—
361	#4028	—	2	1	no	—
362	#4028	—	2	1	no	—
363	#4028	—	2	1	no	—
364	#4028	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	D₅×C₂²⋊C₄	—	2	1	no	—
369	D₅×C₂²⋊C₄	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	#4022	—	2	1	no	—
372	#4022	—	2	1	no	—
373	#4022	—	2	1	no	—
374	#4022	—	2	1	no	—
375	#4020	C₂³	1	1	yes	characteristic
376	#4020	C₂³	1	1	yes	characteristic
377	#4020	C₂³	1	1	yes	characteristic
378	C₄×D₂₀	—	2	1	no	—
379	C₄×D₂₀	C₂³	1	1	yes	characteristic
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	#4018	—	2	1	no	—
386	#4018	—	2	1	no	—
387	#4018	—	2	1	no	—
388	#4018	C₂³	1	1	yes	characteristic
389	#4018	C₂³	1	1	yes	characteristic
390	C₄²×D₅	C₂³	1	1	yes	characteristic
391	#4016	—	2	1	no	—
392	#4016	—	2	1	no	—
393	#4016	—	2	1	no	—
394	#4016	C₂³	1	1	yes	characteristic
395	#4016	C₂³	1	1	yes	characteristic
396	#4015	C₂³	1	1	yes	characteristic
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#107	C₂³	1	1	yes	characteristic
404	C₅×#107	C₂³	1	1	yes	characteristic
405	C₅×#106	C₂³	1	1	yes	characteristic
406	C₅×#106	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#97	C₂³	1	1	yes	characteristic
420	C₅×#97	C₂³	1	1	yes	characteristic
421	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3953	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3953	C₂³	1	1	yes	characteristic
430	#3953	C₂³	1	1	yes	characteristic
431	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3952	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3952	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3946	C₂³	1	1	yes	characteristic
446	#3946	C₂³	1	1	yes	characteristic
447	#3946	C₂³	1	1	yes	characteristic
448	#3946	C₂³	1	1	yes	characteristic
449	#3942	C₂³	1	1	yes	characteristic
450	#3942	C₂³	1	1	yes	characteristic
451	#3942	C₂³	1	1	yes	characteristic
452	#3941	C₂³	1	1	yes	characteristic
453	#3941	C₂³	1	1	yes	characteristic
454	#3941	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3941	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	C₄⋊#168	C₂³	1	1	yes	characteristic
474	C₄⋊#168	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	#3935	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3563	—	5	1	no	—
480	#3519	—	5	1	no	—
481	#3388	—	5	1	no	—
482	#3388	D₅	1	1	yes	characteristic, complemented
483	#3368	—	5	1	no	—
484	#3368	—	5	1	no	—
485	#3348	—	5	1	no	—
486	#3348	—	5	1	no	—
487	#3346	—	5	1	no	—
488	#3346	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3337	—	5	1	no	—
491	#3310	—	5	1	no	—
492	#3310	—	5	1	no	—
493	#3310	—	5	1	no	—
494	#3310	—	5	1	no	—
495	#3295	—	5	1	no	—
496	#3295	—	5	1	no	—
497	#3260	—	5	1	no	—
498	#3260	—	5	1	no	—
499	#3246	—	5	1	no	—
500	#3241	—	5	1	no	—
501	#3241	—	5	1	no	—
502	#3234	—	5	1	no	—
503	#3123	—	5	1	no	—
504	#3123	—	5	1	no	—
505	#3110	—	5	1	no	—
506	#3081	—	5	1	no	—
507	#3081	—	5	1	no	—
508	C₂×#478	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂³×D₅	—	2	1	no	—
513	C₂×C₅×Q₈	—	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×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
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	—	8	2	no	—
526	#713	—	8	2	no	—
527	D₄×D₅	—	2	2	no	—
528	D₄×D₅	—	2	2	no	—
529	D₄×D₅	—	2	2	no	—
530	D₄×D₅	—	4	1	no	—
531	D₄×D₅	—	4	1	no	—
532	D₄×D₅	—	4	1	no	—
533	C₂×D₂₀	—	2	1	no	—
534	C₂×D₂₀	—	2	1	no	—
535	C₂×D₂₀	—	2	1	no	—
536	C₂×D₂₀	—	2	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	—	8	2	no	—
546	C₂×D₂₀	—	8	2	no	—
547	C₂×D₂₀	—	8	2	no	—
548	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
549	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
550	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	2	1	no	—
565	C₂×C₄×D₅	—	8	2	no	—
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
570	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₅×SD₁₆	—	2	2	no	—
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
576	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
577	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
578	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₄²×C₅	—	2	1	no	—
605	C₄²×C₅	—	2	1	no	—
606	C₄²×C₅	—	2	1	no	—
607	C₄²×C₅	C₂⁴	1	1	yes	characteristic
608	C₄²×C₅	C₂⁴	1	1	yes	characteristic
609	C₄²×C₅	C₂⁴	1	1	yes	characteristic
610	C₂²⋊Dic₅	—	2	1	no	—
611	#688	—	4	1	no	—
612	#688	—	4	1	no	—
613	#688	—	4	1	no	—
614	#687	—	2	2	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	C₂×D₄	1	1	yes	characteristic
638	#685	C₂×D₄	1	1	yes	characteristic
639	#685	C₂×D₄	1	1	yes	characteristic
640	#685	C₂×D₄	1	1	yes	characteristic
641	#685	C₂×D₄	1	1	yes	characteristic
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
645	#685	C₂×D₄	1	1	yes	characteristic
646	#685	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	C₂×D₄	1	1	yes	characteristic
681	#683	C₂×D₄	1	1	yes	characteristic
682	#683	C₂×D₄	1	1	yes	characteristic
683	#683	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	#677	—	4	1	no	—
699	#677	—	4	1	no	—
700	#677	—	4	1	no	—
701	#676	—	4	1	no	—
702	#676	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	C₈×D₅	—	4	1	no	—
705	C₈×D₅	—	4	1	no	—
706	C₈×D₅	—	4	1	no	—
707	#564	—	10	1	no	—
708	#563	—	10	1	no	—
709	#557	—	5	1	no	—
710	#557	C₂×D₅	1	1	yes	characteristic, complemented
711	#555	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	C₂×D₅	1	1	yes	characteristic
715	#553	—	5	1	no	—
716	#553	—	5	1	no	—
717	#553	—	10	1	no	—
718	#552	—	5	1	no	—
719	#552	—	5	1	no	—
720	#552	—	5	1	no	—
721	#552	—	5	1	no	—
722	#552	—	10	1	no	—
723	#552	—	10	1	no	—
724	#550	—	5	1	no	—
725	#546	—	10	1	no	—
726	#546	—	10	1	no	—
727	#546	—	10	1	no	—
728	D₄²	—	5	1	no	—
729	D₄²	—	5	1	no	—
730	D₄²	—	5	1	no	—
731	#544	—	5	1	no	—
732	#544	—	5	1	no	—
733	#544	—	10	1	no	—
734	#541	—	5	1	no	—
735	#541	—	5	1	no	—
736	#541	—	10	1	no	—
737	#541	—	10	1	no	—
738	#540	—	5	1	no	—
739	#540	—	5	1	no	—
740	#539	—	10	1	no	—
741	#538	—	10	1	no	—
742	#538	—	10	1	no	—
743	#533	—	5	1	no	—
744	#532	—	5	1	no	—
745	#529	—	5	1	no	—
746	C₂×#125	—	5	1	no	—
747	#525	—	10	1	no	—
748	C₂×#121	—	10	1	no	—
749	#518	—	5	1	no	—
750	#518	—	5	1	no	—
751	C₂×C₄×D₄	—	5	1	no	—
752	#501	—	5	1	no	—
753	#501	—	5	1	no	—
754	#501	C₂×D₅	1	1	yes	characteristic, complemented
755	#501	C₂×D₅	1	1	yes	characteristic, complemented
756	#499	—	5	1	no	—
757	#499	C₂×D₅	1	1	yes	characteristic, complemented
758	#490	—	5	1	no	—
759	#490	—	5	1	no	—
760	#490	—	5	1	no	—
761	#490	—	5	1	no	—
762	#486	—	5	1	no	—
763	#486	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#485	—	5	1	no	—
767	#485	—	5	1	no	—
768	#484	—	5	1	no	—
769	#484	—	5	1	no	—
770	#482	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#481	—	5	1	no	—
775	#481	—	5	1	no	—
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#480	—	5	1	no	—
779	#480	—	5	1	no	—
780	#480	—	5	1	no	—
781	#480	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	C₂×D₅	1	1	yes	characteristic, complemented
785	#479	C₂×D₅	1	1	yes	characteristic, complemented
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	C₂×D₅	1	1	yes	characteristic
801	#478	C₂×D₅	1	1	yes	characteristic
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	C₂×D₅	1	1	yes	characteristic
806	#475	—	5	1	no	—
807	#475	C₂×D₅	1	1	yes	characteristic, complemented
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#468	—	5	1	no	—
813	#468	—	5	1	no	—
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	—	5	1	no	—
827	#461	—	5	1	no	—
828	#460	—	5	1	no	—
829	#460	—	5	1	no	—
830	#460	—	5	1	no	—
831	#460	—	5	1	no	—
832	#460	—	5	1	no	—
833	#460	—	5	1	no	—
834	#450	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#450	—	5	1	no	—
838	#450	—	5	1	no	—
839	#450	—	5	1	no	—
840	#446	—	5	1	no	—
841	#446	C₂×D₅	1	1	yes	characteristic, complemented
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	C₂×D₅	1	1	yes	characteristic
849	#440	C₂×D₅	1	1	yes	characteristic
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
854	#435	—	5	1	no	—
855	#435	—	5	1	no	—
856	#435	—	5	1	no	—
857	#435	—	5	1	no	—
858	C₈×D₄	—	5	1	no	—
859	C₈×D₄	—	5	1	no	—
860	#433	—	5	1	no	—
861	#433	—	5	1	no	—
862	#432	—	5	1	no	—
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	#427	—	5	1	no	—
866	#427	—	5	1	no	—
867	C₂×#107	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	C₂×C₄⋊C₈	—	5	1	no	—
872	#418	—	5	1	no	—
873	#418	—	5	1	no	—
874	C₂×#102	—	5	1	no	—
875	C₂×#102	—	5	1	no	—
876	C₂×#102	—	5	1	no	—
877	C₂×#102	—	5	1	no	—
878	C₂³×C₅	—	2	1	no	—
879	C₂²×D₅	—	2	1	no	—
880	C₂²×D₅	—	2	1	no	—
881	C₂²×D₅	—	2	1	no	—
882	C₂²×D₅	—	4	2	no	—
883	C₂²×D₅	—	4	2	no	—
884	C₂²×D₅	—	4	2	no	—
885	C₂²×D₅	—	4	2	no	—
886	C₂²×D₅	—	8	1	no	—
887	C₂²×D₅	—	8	1	no	—
888	C₂²×D₅	—	8	1	no	—
889	C₂²×D₅	—	8	1	no	—
890	C₂²×D₅	—	8	1	no	—
891	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
892	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	4	1	no	—
897	C₅×Q₈	—	8	1	no	—
898	C₅×Q₈	—	8	1	no	—
899	C₅×D₄	—	2	1	no	—
900	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	4	2	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	—	8	1	no	—
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
918	C₂²⋊D₅	—	4	2	no	—
919	C₂²⋊D₅	—	4	2	no	—
920	C₂²⋊D₅	—	4	2	no	—
921	C₂×Dic₅	—	2	1	no	—
922	C₂×Dic₅	—	2	1	no	—
923	C₂×Dic₅	—	2	1	no	—
924	C₂×Dic₅	—	2	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	8	1	no	—
927	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	D₂₀	—	2	2	no	—
933	D₂₀	—	2	2	no	—
934	D₂₀	—	2	1	no	—
935	D₂₀	—	2	1	no	—
936	D₂₀	—	2	1	no	—
937	D₂₀	—	2	1	no	—
938	D₂₀	—	2	1	no	—
939	D₂₀	—	2	1	no	—
940	D₂₀	—	4	1	no	—
941	D₂₀	—	4	2	no	—
942	D₂₀	—	4	2	no	—
943	D₂₀	—	4	2	no	—
944	D₂₀	—	8	1	no	—
945	D₂₀	—	8	1	no	—
946	D₂₀	—	8	1	no	—
947	D₂₀	—	8	1	no	—
948	D₂₀	—	8	1	no	—
949	D₂₀	—	8	1	no	—
950	D₂₀	—	8	1	no	—
951	D₂₀	—	8	1	no	—
952	D₂₀	—	8	1	no	—
953	C₄×D₅	—	2	2	no	—
954	C₄×D₅	—	2	1	no	—
955	C₄×D₅	—	2	1	no	—
956	C₄×D₅	—	2	1	no	—
957	C₄×D₅	—	2	1	no	—
958	C₄×D₅	—	2	1	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	4	1	no	—
961	C₄×D₅	—	4	2	no	—
962	C₄×D₅	—	4	2	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	Dic₁₀	—	2	1	no	—
973	Dic₁₀	—	2	1	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	C₅×C₈	—	2	1	no	—
979	C₅×C₈	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	C₂×#41	—	10	1	no	—
985	C₂×#41	—	10	1	no	—
986	C₂²×D₄	—	5	1	no	—
987	C₂²×D₄	—	5	1	no	—
988	C₂²×D₄	—	5	1	no	—
989	C₂²×D₄	—	10	1	no	—
990	C₂²×D₄	—	10	1	no	—
991	C₂²×D₄	—	10	1	no	—
992	C₂³×C₄	—	10	1	no	—
993	C₂×SD₁₆	—	5	1	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	—	5	1	no	—
997	C₂×SD₁₆	—	5	1	no	—
998	C₂×SD₁₆	—	5	1	no	—
999	C₂×SD₁₆	—	5	1	no	—
1000	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1001	C₂×M₁₆	—	5	1	no	—
1002	C₂×M₁₆	—	5	1	no	—
1003	C₂²×C₈	—	5	1	no	—
1004	C₂²×C₈	—	5	1	no	—
1005	C₂²×C₈	—	5	1	no	—
1006	C₂²×C₈	—	5	1	no	—
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	10	1	no	—
1012	C₄⋊Q₈	—	10	1	no	—
1013	C₄⋊Q₈	—	10	1	no	—
1014	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1015	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1016	#127	—	5	1	no	—
1017	#127	—	5	1	no	—
1018	#127	—	5	1	no	—
1019	#126	—	5	1	no	—
1020	#126	—	5	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#126	—	10	1	no	—
1024	#126	—	10	1	no	—
1025	#126	—	10	1	no	—
1026	#126	—	10	1	no	—
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#125	—	2	1	no	—
1032	#125	—	2	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	5	1	no	—
1035	#125	—	5	1	no	—
1036	#125	—	5	1	no	—
1037	#125	—	5	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	—	10	1	no	—
1043	#125	—	10	1	no	—
1044	#125	—	10	1	no	—
1045	#125	—	10	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	C₂²×D₅	1	1	yes	characteristic
1056	#125	C₂²×D₅	1	1	yes	characteristic
1057	#125	C₂²×D₅	1	1	yes	characteristic
1058	#125	C₂²×D₅	1	1	yes	characteristic
1059	#124	—	5	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#123	—	5	1	no	—
1064	#123	—	5	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	C₂²⋊Q₈	—	2	1	no	—
1076	C₂²⋊Q₈	—	2	1	no	—
1077	C₂²⋊Q₈	—	2	1	no	—
1078	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	1	no	—
1082	C₂²⋊Q₈	—	5	1	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	#121	—	5	1	no	—
1095	#121	—	5	1	no	—
1096	#121	—	5	1	no	—
1097	#121	—	5	1	no	—
1098	#121	—	5	1	no	—
1099	#121	—	5	1	no	—
1100	#121	—	5	1	no	—
1101	#121	—	10	1	no	—
1102	#121	—	10	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	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	#120	—	10	1	no	—
1116	#120	—	10	1	no	—
1117	#120	—	10	1	no	—
1118	#120	—	10	1	no	—
1119	#120	—	10	1	no	—
1120	#120	—	10	1	no	—
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1129	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1130	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1153	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1154	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	5	1	no	—
1159	#117	—	5	1	no	—
1160	#117	—	5	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	—	10	1	no	—
1167	C₂×C₄⋊C₄	—	2	1	no	—
1168	C₂×C₄⋊C₄	—	5	1	no	—
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	5	1	no	—
1172	C₂×C₄⋊C₄	—	5	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₂²⋊C₄	—	10	1	no	—
1176	C₂×C₂²⋊C₄	—	10	1	no	—
1177	C₂×C₂²⋊C₄	—	10	1	no	—
1178	C₂×C₂²⋊C₄	—	10	1	no	—
1179	C₂×C₂²⋊C₄	—	10	1	no	—
1180	C₂×C₄²	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#107	C₂²×D₅	1	1	yes	characteristic
1190	#107	C₂²×D₅	1	1	yes	characteristic
1191	#107	C₂²×D₅	1	1	yes	characteristic
1192	#107	C₂²×D₅	1	1	yes	characteristic
1193	#106	—	5	1	no	—
1194	#106	—	5	1	no	—
1195	#106	—	5	1	no	—
1196	#106	—	5	1	no	—
1197	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	C₂²×D₅	1	1	yes	characteristic
1201	#106	C₂²×D₅	1	1	yes	characteristic
1202	#106	C₂²×D₅	1	1	yes	characteristic
1203	#106	C₂²×D₅	1	1	yes	characteristic
1204	#106	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1213	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	C₂²×D₅	1	1	yes	characteristic
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#103	C₂²×D₅	1	1	yes	characteristic
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	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	C₂²×D₅	1	1	yes	characteristic
1245	#102	C₂²×D₅	1	1	yes	characteristic
1246	#102	C₂²×D₅	1	1	yes	characteristic
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	#97	—	5	1	no	—
1254	#97	—	5	1	no	—
1255	#97	C₂²×D₅	1	1	yes	characteristic
1256	#97	C₂²×D₅	1	1	yes	characteristic
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1259	C₂²×C₅	—	2	2	no	—
1260	C₂²×C₅	—	4	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1263	C₂×D₅	—	2	1	no	—
1264	C₂×D₅	—	2	1	no	—
1265	C₂×D₅	—	2	1	no	—
1266	C₂×D₅	—	2	1	no	—
1267	C₂×D₅	—	2	1	no	—
1268	C₂×D₅	—	2	1	no	—
1269	C₂×D₅	—	2	1	no	—
1270	C₂×D₅	—	2	1	no	—
1271	C₂×D₅	—	4	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	4	1	no	—
1275	C₂×D₅	—	4	1	no	—
1276	C₂×D₅	—	4	1	no	—
1277	C₂×D₅	—	4	1	no	—
1278	C₂×D₅	—	4	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	8	4	no	—
1281	C₂×D₅	—	16	2	no	—
1282	C₂×D₅	—	16	2	no	—
1283	C₂×D₅	#577	1	2	yes	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	2	1	no	—
1289	C₄×C₅	—	2	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1298	C₄×C₅	#585	1	1	yes	characteristic
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	2	1	no	—
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	Dic₅	—	4	1	no	—
1309	C₂⁴	—	10	1	no	—
1310	C₂⁴	—	10	1	no	—
1311	C₂⁴	—	10	1	no	—
1312	#41	—	40	2	no	—
1313	#41	—	40	2	no	—
1314	C₂×Q₈	—	2	1	no	—
1315	C₂×Q₈	—	2	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	10	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1320	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1321	C₂×D₄	—	5	1	no	—
1322	C₂×D₄	—	5	1	no	—
1323	C₂×D₄	—	5	1	no	—
1324	C₂×D₄	—	5	1	no	—
1325	C₂×D₄	—	5	1	no	—
1326	C₂×D₄	—	5	1	no	—
1327	C₂×D₄	—	10	1	no	—
1328	C₂×D₄	—	10	1	no	—
1329	C₂×D₄	—	10	1	no	—
1330	C₂×D₄	—	10	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	2	no	—
1337	C₂×D₄	—	10	2	no	—
1338	C₂×D₄	—	10	2	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	20	1	no	—
1346	C₂×D₄	—	20	1	no	—
1347	C₂×D₄	—	20	1	no	—
1348	C₂×D₄	—	40	2	no	—
1349	C₂×D₄	—	40	2	no	—
1350	C₂×D₄	—	40	2	no	—
1351	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	2	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	5	1	no	—
1359	C₂²×C₄	—	5	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	40	2	no	—
1373	SD₁₆	—	2	2	no	—
1374	SD₁₆	—	10	2	no	—
1375	SD₁₆	—	20	1	no	—
1376	SD₁₆	—	20	1	no	—
1377	SD₁₆	—	20	1	no	—
1378	SD₁₆	—	20	1	no	—
1379	SD₁₆	—	20	1	no	—
1380	SD₁₆	—	20	1	no	—
1381	M₁₆	—	20	1	no	—
1382	M₁₆	—	20	1	no	—
1383	C₂×C₈	—	5	1	no	—
1384	C₂×C₈	—	5	1	no	—
1385	C₂×C₈	—	5	1	no	—
1386	C₂×C₈	—	5	1	no	—
1387	C₂×C₈	—	20	1	no	—
1388	C₂×C₈	—	20	1	no	—
1389	C₂×C₈	—	20	1	no	—
1390	C₂×C₈	—	20	1	no	—
1391	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1392	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1393	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₄⋊C₄	—	2	1	no	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1450	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1451	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1452	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	5	1	no	—
1458	C₂²⋊C₄	—	5	1	no	—
1459	C₂²⋊C₄	—	5	1	no	—
1460	C₂²⋊C₄	—	5	1	no	—
1461	C₂²⋊C₄	—	5	1	no	—
1462	C₂²⋊C₄	—	5	1	no	—
1463	C₂²⋊C₄	—	5	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	1	no	—
1466	C₂²⋊C₄	—	5	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	5	1	no	—
1494	C₄²	—	5	1	no	—
1495	C₄²	—	5	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	—	10	1	no	—
1503	C₄²	C₂³×D₅	1	1	yes	characteristic
1504	C₄²	C₂³×D₅	1	1	yes	characteristic
1505	C₄²	C₂³×D₅	1	1	yes	characteristic
1506	C₂×C₅	—	4	2	no	—
1507	C₂×C₅	#3489	1	1	yes	characteristic
1508	C₂×C₅	C₂×#577	1	1	yes	characteristic
1509	C₂×C₅	#3585	1	1	yes	characteristic
1510	D₅	—	2	2	no	—
1511	D₅	—	4	1	no	—
1512	D₅	—	4	1	no	—
1513	D₅	—	8	1	no	—
1514	D₅	—	8	1	no	—
1515	D₅	—	8	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	5	1	no	—
1518	C₂³	—	5	1	no	—
1519	C₂³	—	5	1	no	—
1520	C₂³	—	10	1	no	—
1521	C₂³	—	10	1	no	—
1522	C₂³	—	10	1	no	—
1523	C₂³	—	20	2	no	—
1524	C₂³	—	20	2	no	—
1525	C₂³	—	20	2	no	—
1526	C₂³	—	20	2	no	—
1527	C₂³	—	40	1	no	—
1528	C₂³	—	40	1	no	—
1529	C₂³	—	40	1	no	—
1530	C₂³	—	40	1	no	—
1531	C₂³	—	40	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	8	1	no	—
1537	Q₈	—	10	1	no	—
1538	Q₈	—	10	1	no	—
1539	Q₈	—	40	1	no	—
1540	Q₈	—	40	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	10	2	no	—
1543	D₄	—	10	2	no	—
1544	D₄	—	10	1	no	—
1545	D₄	—	10	1	no	—
1546	D₄	—	10	1	no	—
1547	D₄	—	10	1	no	—
1548	D₄	—	10	1	no	—
1549	D₄	—	10	1	no	—
1550	D₄	—	20	1	no	—
1551	D₄	—	20	2	no	—
1552	D₄	—	20	2	no	—
1553	D₄	—	20	2	no	—
1554	D₄	—	20	2	no	—
1555	D₄	—	20	2	no	—
1556	D₄	—	20	2	no	—
1557	D₄	—	40	1	no	—
1558	D₄	—	40	1	no	—
1559	D₄	—	40	1	no	—
1560	D₄	—	40	1	no	—
1561	D₄	—	40	1	no	—
1562	D₄	—	40	1	no	—
1563	D₄	—	40	1	no	—
1564	D₄	—	40	1	no	—
1565	D₄	—	40	1	no	—
1566	D₄	#4147	1	2	yes	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	4	2	no	—
1575	C₂×C₄	—	5	1	no	—
1576	C₂×C₄	—	5	1	no	—
1577	C₂×C₄	—	5	1	no	—
1578	C₂×C₄	—	5	1	no	—
1579	C₂×C₄	—	5	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	10	2	no	—
1583	C₂×C₄	—	10	1	no	—
1584	C₂×C₄	—	10	1	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	10	1	no	—
1592	C₂×C₄	—	10	1	no	—
1593	C₂×C₄	—	10	1	no	—
1594	C₂×C₄	—	20	1	no	—
1595	C₂×C₄	—	20	2	no	—
1596	C₂×C₄	—	20	2	no	—
1597	C₂×C₄	—	40	1	no	—
1598	C₂×C₄	—	40	1	no	—
1599	C₂×C₄	—	40	1	no	—
1600	C₂×C₄	—	40	1	no	—
1601	C₂×C₄	—	40	1	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	—	40	1	no	—
1604	C₂×C₄	—	40	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	—	40	1	no	—
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1613	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₈	—	10	1	no	—
1621	C₈	—	10	1	no	—
1622	C₅	#62164	1	1	yes	characteristic, complemented, Sylow
1623	C₂²	—	2	2	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	5	2	no	—
1627	C₂²	—	10	1	no	—
1628	C₂²	—	10	1	no	—
1629	C₂²	—	10	1	no	—
1630	C₂²	—	10	1	no	—
1631	C₂²	—	10	1	no	—
1632	C₂²	—	10	1	no	—
1633	C₂²	—	10	1	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	20	1	no	—
1636	C₂²	—	20	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	20	1	no	—
1641	C₂²	—	20	1	no	—
1642	C₂²	—	20	1	no	—
1643	C₂²	—	20	1	no	—
1644	C₂²	—	40	4	no	—
1645	C₂²	—	80	2	no	—
1646	C₂²	—	80	2	no	—
1647	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	10	1	no	—
1662	C₄	—	10	1	no	—
1663	C₄	—	10	1	no	—
1664	C₄	—	10	1	no	—
1665	C₄	—	10	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	—	20	1	no	—
1668	C₄	—	20	1	no	—
1669	C₄	—	20	1	no	—
1670	C₄	—	20	1	no	—
1671	C₄	C₂×#4147	1	1	yes	characteristic
1672	C₄	#66287	1	1	yes	characteristic
1673	C₂	—	4	2	no	—
1674	C₂	—	10	2	no	—
1675	C₂	—	20	1	no	—
1676	C₂	—	20	1	no	—
1677	C₂	—	40	1	no	—
1678	C₂	—	40	1	no	—
1679	C₂	—	40	1	no	—
1680	C₂	#10618646	1	1	yes	characteristic
1681	C₂	#10619101	1	1	yes	characteristic
1682	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×#3388	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618834	C₂
hypercenter	#3388	D₅
hypocenter	C₅	#62164
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3388

Complements

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

N	H ≅ G/N	type
1. #10618939	C₂	semidirect
3. C₅×#3388	C₂	semidirect
4. #10615421	C₂	semidirect
5. #10615363	C₂	semidirect
6. #10613726	C₂	semidirect
7. #10613724	C₂	semidirect
8. #10613717	C₂	semidirect
9. #10613709	C₂	semidirect
10. #10613656	C₂	semidirect
11. #10613653	C₂	semidirect
12. #10612987	C₂	semidirect
13. #10612985	C₂	semidirect
14. #10612945	C₂	semidirect
15. #10612945	C₂	semidirect
16. #10612920	C₂	semidirect
17. #10612920	C₂	semidirect
18. #10612900	C₂	semidirect
19. D₅×#478	C₂	semidirect
20. #10612806	C₂	semidirect
21. #10612793	C₂	semidirect
22. #10612762	C₂	semidirect
23. #10612733	C₂	semidirect
24. #10611711	C₂	semidirect
25. #10611677	C₂	semidirect
26. #10611531	C₂	semidirect
27. #10611531	C₂	semidirect
28. #10611518	C₂	semidirect
29. #10611510	C₂	semidirect
30. #10611407	C₂	semidirect
31. #10611390	C₂	semidirect
32. C₅×#557	C₂²	semidirect
36. #66064	C₂²	semidirect
38. #66063	C₂²	semidirect
45. #66028	C₂²	semidirect
46. #66028	C₂²	semidirect
49. #66023	C₂²	semidirect
50. D₅×#125	C₂²	semidirect
59. #65917	C₂²	semidirect
60. #65917	C₂²	semidirect
62. #65915	C₂²	semidirect
63. #65915	C₂²	semidirect
65. #65913	C₂²	semidirect
66. #65912	C₂²	semidirect
68. #65901	C₂²	semidirect
77. C₅×#501	C₂²	semidirect
78. C₅×#501	C₂²	semidirect
79. C₅×#499	C₂²	semidirect
80. C₅×#479	C₂²	semidirect
81. C₅×#479	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
86. C₅×#446	C₂²	semidirect
94. #65383	C₂²	semidirect
95. #65377	C₂²	semidirect
96. #65376	C₂²	semidirect
97. #65369	C₂²	semidirect
98. #65356	C₂²	semidirect
99. #65356	C₂²	semidirect
100. #65355	C₂²	semidirect
101. #65355	C₂²	semidirect
102. #65354	C₂²	semidirect
103. #65353	C₂²	semidirect
104. #65352	C₂²	semidirect
105. #65352	C₂²	semidirect
106. #65316	C₂²	semidirect
107. #65316	C₂²	semidirect
108. #65316	C₂²	semidirect
109. #65315	C₂²	semidirect
110. #65315	C₂²	semidirect
111. C₄×#688	C₂²	semidirect
112. #65313	C₂²	semidirect
119. #65180	C₂²	semidirect
120. #65180	C₂²	semidirect
121. #65180	C₂²	semidirect
122. #65179	C₂²	semidirect
123. #65177	C₂²	semidirect
124. #65175	C₂²	semidirect
125. #65175	C₂²	semidirect
126. #65174	C₂²	semidirect
127. #65174	C₂²	semidirect
128. #65173	C₂²	semidirect
129. #65171	C₂²	semidirect
130. #65171	C₂²	semidirect
131. #65171	C₂²	semidirect
132. #65171	C₂²	semidirect
133. #65169	C₂²	semidirect
134. D₅×#107	C₂²	semidirect
135. #65160	C₂²	semidirect
136. #65160	C₂²	semidirect
137. #65160	C₂²	semidirect
138. #65159	C₂²	semidirect
139. #65159	C₂²	semidirect
140. #65156	C₂²	semidirect
141. #65155	C₂²	semidirect
142. #65155	C₂²	semidirect
143. #65153	C₂²	semidirect
144. #65153	C₂²	semidirect
145. #65153	C₂²	semidirect
146. #65153	C₂²	semidirect
147. #65152	C₂²	semidirect
148. #65152	C₂²	semidirect
149. #65152	C₂²	semidirect
150. #65152	C₂²	semidirect
151. #65150	C₂²	semidirect
152. #65150	C₂²	semidirect
153. #65149	C₂²	semidirect
154. D₅×#106	C₂²	semidirect
155. #65137	C₂²	semidirect
156. #65137	C₂²	semidirect
157. #65137	C₂²	semidirect
158. #65136	C₂²	semidirect
159. #65136	C₂²	semidirect
160. #65135	C₂²	semidirect
161. #65128	C₂²	semidirect
162. #65128	C₂²	semidirect
163. #65125	C₂²	semidirect
164. #65125	C₂²	semidirect
165. #65123	C₂²	semidirect
166. D₅×C₄⋊C₈	C₂²	semidirect
167. #65107	C₂²	semidirect
168. #65107	C₂²	semidirect
169. #65107	C₂²	semidirect
170. #65104	C₂²	semidirect
171. #65103	C₂²	semidirect
172. #65101	C₂²	semidirect
173. #65101	C₂²	semidirect
174. #65098	C₂²	semidirect
175. #65096	C₂²	semidirect
176. #65096	C₂²	semidirect
177. #65096	C₂²	semidirect
178. #65096	C₂²	semidirect
191. #65002	C₂²	semidirect
192. #65002	C₂²	semidirect
193. #64999	C₂²	semidirect
194. #64999	C₂²	semidirect
195. #64998	C₂²	semidirect
196. #64995	C₂²	semidirect
197. #64995	C₂²	semidirect
198. #64994	C₂²	semidirect
199. #64983	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64979	C₂²	semidirect
202. C₈×D₂₀	C₂²	semidirect
482. #3388	D₅	semidirect
710. #557	C₂×D₅	semidirect
754. #501	C₂×D₅	semidirect
755. #501	C₂×D₅	semidirect
757. #499	C₂×D₅	semidirect
784. #479	C₂×D₅	semidirect
785. #479	C₂×D₅	semidirect
807. #475	C₂×D₅	semidirect
841. #446	C₂×D₅	semidirect
1622. C₅	#62164	semidirect

Maximal subgroups

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

subgroup	index
#10618939	2
#10618834	2
C₅×#3388	2
#10615421	2
#10615363	2
#10613726	2
#10613724	2
#10613717	2
#10613709	2
#10613656	2
#10613653	2
#10612987	2
#10612985	2
#10612945	2
#10612920	2
#10612900	2
D₅×#478	2
#10612806	2
#10612793	2
#10612762	2
#10612733	2
#10611711	2
#10611677	2
#10611531	2
#10611518	2
#10611510	2
#10611407	2
#10611390	2
#62164	5