Subgroups — #12992923

Order 1280.

1828 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618470	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618459	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3263	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615195	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615193	C₂	1	1	yes	maximal, characteristic, complemented
6	#10612822	C₂	1	1	yes	maximal, characteristic, complemented
7	#10612808	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612801	C₂	1	1	yes	maximal, characteristic, complemented
9	#10612780	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612767	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612753	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612735	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612729	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612657	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612648	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612616	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612605	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612423	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612420	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612419	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612409	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612362	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612342	C₂	1	1	yes	maximal, characteristic, complemented
24	D₅×#464	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612323	C₂	1	1	yes	maximal, characteristic, complemented
26	#10612289	C₂	1	1	yes	maximal, characteristic, complemented
27	#10612273	C₂	1	1	yes	maximal, characteristic, complemented
28	#10612270	C₂	1	1	yes	maximal, characteristic, complemented
29	#10612259	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610820	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610813	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#542	C₂²	1	1	yes	characteristic, complemented
34	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
35	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
37	C₂×#4058	C₂²	1	1	yes	characteristic
38	C₂×#4055	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4050	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66062	C₂²	1	1	yes	characteristic
42	#66060	C₂²	1	1	yes	characteristic
43	#66056	C₂²	1	1	yes	characteristic, complemented
44	#66046	—	2	1	no	—
45	#66044	—	2	1	no	—
46	#66040	—	2	1	no	—
47	#66039	—	2	1	no	—
48	#66016	—	2	1	no	—
49	#66015	C₂²	1	1	yes	characteristic, complemented
50	#66012	—	2	1	no	—
51	#66011	C₂²	1	1	yes	characteristic
52	#66009	C₂²	1	1	yes	characteristic
53	D₅×#124	C₂²	1	1	yes	characteristic
54	#66003	—	2	1	no	—
55	#66002	—	2	1	no	—
56	#66001	—	2	1	no	—
57	#65998	—	2	1	no	—
58	#65992	—	2	1	no	—
59	#65989	—	2	1	no	—
60	#65977	—	2	1	no	—
61	#65970	—	2	1	no	—
62	#65969	C₂²	1	1	yes	characteristic, complemented
63	#65968	—	2	1	no	—
64	#65967	C₂²	1	1	yes	characteristic
65	#65967	C₂²	1	1	yes	characteristic
66	#65966	C₂²	1	1	yes	characteristic
67	#65965	—	2	1	no	—
68	#65946	C₂²	1	1	yes	characteristic
69	#65945	C₂²	1	1	yes	characteristic
70	#65933	C₂²	1	1	yes	characteristic, complemented
71	#65932	C₂²	1	1	yes	characteristic
72	#65916	C₂²	1	1	yes	characteristic, complemented
73	Q₈×D₂₀	C₂²	1	1	yes	characteristic
74	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
75	#65902	C₂²	1	1	yes	characteristic
76	#65888	C₂²	1	1	yes	characteristic
77	#65882	C₂²	1	1	yes	characteristic
78	#65880	C₂²	1	1	yes	characteristic, complemented
79	#65876	C₂²	1	1	yes	characteristic
80	#65862	C₂²	1	1	yes	characteristic
81	#65860	C₂²	1	1	yes	characteristic
82	#65857	C₂²	1	1	yes	characteristic, complemented
83	C₅×#476	C₂²	1	1	yes	characteristic
84	C₅×#476	C₂²	1	1	yes	characteristic, complemented
85	C₅×#475	C₂²	1	1	yes	characteristic, complemented
86	C₅×#475	C₂²	1	1	yes	characteristic, complemented
87	C₅×#470	C₂²	1	1	yes	characteristic, complemented
88	C₅×#469	C₂²	1	1	yes	characteristic
89	C₅×#465	C₂²	1	1	yes	characteristic
90	C₅×#465	C₂²	1	1	yes	characteristic, complemented
91	C₅×#464	C₂²	1	1	yes	characteristic
92	C₅×#464	C₂²	1	1	yes	characteristic, complemented
93	C₅×#463	C₂²	1	1	yes	characteristic
94	C₅×#463	C₂²	1	1	yes	characteristic
95	C₅×#424	C₂²	1	1	yes	characteristic, complemented
96	#65479	C₂²	1	1	yes	characteristic, complemented
97	#65475	C₂²	1	1	yes	characteristic, complemented
98	#65474	C₂²	1	1	yes	characteristic
99	#65465	C₂²	1	1	yes	characteristic
100	#65462	C₂²	1	1	yes	characteristic
101	#65459	C₂²	1	1	yes	characteristic
102	#65457	C₂²	1	1	yes	characteristic
103	#65455	C₂²	1	1	yes	characteristic
104	#65451	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic
106	#65443	C₂²	1	1	yes	characteristic
107	#65442	C₂²	1	1	yes	characteristic
108	#65422	C₂²	1	1	yes	characteristic
109	#65416	C₂²	1	1	yes	characteristic
110	#65416	C₂²	1	1	yes	characteristic, complemented
111	#65400	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
113	C₂×#3948	C₂²	1	1	yes	characteristic, complemented
114	#65383	C₂²	1	1	yes	characteristic, complemented
115	#65382	C₂²	1	1	yes	characteristic, complemented
116	#65378	C₂²	1	1	yes	characteristic
117	#65373	C₂²	1	1	yes	characteristic, complemented
118	#65349	C₂²	1	1	yes	characteristic, complemented
119	#65348	C₂²	1	1	yes	characteristic
120	#65346	C₂²	1	1	yes	characteristic
121	#65343	C₂²	1	1	yes	characteristic
122	#65339	C₂²	1	1	yes	characteristic, complemented
123	#65336	C₂²	1	1	yes	characteristic
124	#65336	C₂²	1	1	yes	characteristic, complemented
125	#65332	C₂²	1	1	yes	characteristic, complemented
126	#65329	C₂²	1	1	yes	characteristic, complemented
127	#65326	C₂²	1	1	yes	characteristic
128	#65326	C₂²	1	1	yes	characteristic
129	#65323	C₂²	1	1	yes	characteristic
130	#65320	C₂²	1	1	yes	characteristic, complemented
131	#65319	C₂²	1	1	yes	characteristic, complemented
132	#65317	C₂²	1	1	yes	characteristic
133	C₄×#688	C₂²	1	1	yes	characteristic, complemented
134	#65308	C₂²	1	1	yes	characteristic, complemented
135	C₄×#687	C₂²	1	1	yes	characteristic
136	#65305	C₂²	1	1	yes	characteristic
137	#65303	C₂²	1	1	yes	characteristic
138	#65289	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic
140	#65154	C₂²	1	1	yes	characteristic
141	#65153	C₂²	1	1	yes	characteristic
142	#65153	C₂²	1	1	yes	characteristic
143	#65153	C₂²	1	1	yes	characteristic, complemented
144	#65152	C₂²	1	1	yes	characteristic
145	#65151	C₂²	1	1	yes	characteristic
146	#65151	C₂²	1	1	yes	characteristic
147	#65151	C₂²	1	1	yes	characteristic, complemented
148	#65143	C₂²	1	1	yes	characteristic, complemented
149	#65143	C₂²	1	1	yes	characteristic, complemented
150	#65143	C₂²	1	1	yes	characteristic, complemented
151	#65142	C₂²	1	1	yes	characteristic, complemented
152	#65142	C₂²	1	1	yes	characteristic, complemented
153	#65142	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic
155	#65138	C₂²	1	1	yes	characteristic, complemented
156	#65138	C₂²	1	1	yes	characteristic, complemented
157	#65134	C₂²	1	1	yes	characteristic
158	#65134	C₂²	1	1	yes	characteristic
159	#65133	C₂²	1	1	yes	characteristic
160	#65133	C₂²	1	1	yes	characteristic
161	#65130	C₂²	1	1	yes	characteristic, complemented
162	#65130	C₂²	1	1	yes	characteristic, complemented
163	#65129	C₂²	1	1	yes	characteristic, complemented
164	#65128	C₂²	1	1	yes	characteristic, complemented
165	#65125	C₂²	1	1	yes	characteristic
166	#65124	C₂²	1	1	yes	characteristic
167	#65123	C₂²	1	1	yes	characteristic
168	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
169	#65120	C₂²	1	1	yes	characteristic, complemented
170	#65117	C₂²	1	1	yes	characteristic, complemented
171	#65108	C₂²	1	1	yes	characteristic
172	#65105	C₂²	1	1	yes	characteristic, complemented
173	#65097	C₂²	1	1	yes	characteristic
174	#65097	C₂²	1	1	yes	characteristic
175	#65096	C₂²	1	1	yes	characteristic
176	#65095	C₂²	1	1	yes	characteristic
177	#65095	C₂²	1	1	yes	characteristic, complemented
178	D₅×#103	C₂²	1	1	yes	characteristic
179	D₅×#103	C₂²	1	1	yes	characteristic, complemented
180	#65087	C₂²	1	1	yes	characteristic
181	#65087	C₂²	1	1	yes	characteristic, complemented
182	#65084	C₂²	1	1	yes	characteristic
183	#65082	C₂²	1	1	yes	characteristic, complemented
184	#65081	C₂²	1	1	yes	characteristic, complemented
185	#65078	C₂²	1	1	yes	characteristic, complemented
186	#65078	C₂²	1	1	yes	characteristic, complemented
187	#65074	C₂²	1	1	yes	characteristic
188	#65072	C₂²	1	1	yes	characteristic, complemented
189	#65070	C₂²	1	1	yes	characteristic
190	#65070	C₂²	1	1	yes	characteristic
191	#65067	C₂²	1	1	yes	characteristic
192	#65067	C₂²	1	1	yes	characteristic
193	#65062	C₂²	1	1	yes	characteristic
194	#65060	C₂²	1	1	yes	characteristic
195	D₅×#102	C₂²	1	1	yes	characteristic
196	#65056	C₂²	1	1	yes	characteristic
197	#65056	C₂²	1	1	yes	characteristic
198	#65054	C₂²	1	1	yes	characteristic
199	#65054	C₂²	1	1	yes	characteristic
200	#65051	C₂²	1	1	yes	characteristic, complemented
201	#65051	C₂²	1	1	yes	characteristic, complemented
202	#65047	C₂²	1	1	yes	characteristic, complemented
203	#62021	—	5	1	no	maximal, Sylow
204	C₂×#713	—	2	1	no	—
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	—	2	1	no	—
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
212	C₂×#709	—	2	1	no	—
213	C₂×#709	C₂³	1	1	yes	characteristic
214	C₂×#709	C₂³	1	1	yes	characteristic
215	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
216	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
220	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
221	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
222	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×#126	—	2	1	no	—
225	C₅×#126	—	2	1	no	—
226	C₅×#124	—	2	1	no	—
227	C₅×#124	—	2	1	no	—
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×#123	—	2	1	no	—
231	C₅×#123	—	2	1	no	—
232	C₅×C₂²⋊Q₈	—	2	1	no	—
233	C₅×C₂²⋊Q₈	—	2	1	no	—
234	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
235	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×#121	C₂³	1	1	yes	characteristic
237	C₅×#121	C₂³	1	1	yes	characteristic
238	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
239	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
240	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
241	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
242	C₅×#117	C₂³	1	1	yes	characteristic
243	#4093	—	2	1	no	—
244	#4093	C₂³	1	1	yes	characteristic
245	#4093	C₂³	1	1	yes	characteristic
246	#4092	—	2	1	no	—
247	#4092	—	2	1	no	—
248	#4092	—	2	1	no	—
249	#4092	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	—	2	1	no	—
251	Q₈×Dic₅	C₂³	1	1	yes	characteristic
252	#4090	—	2	1	no	—
253	#4090	—	2	1	no	—
254	#4090	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#688	C₂³	1	1	yes	characteristic
260	C₂×#688	C₂³	1	1	yes	characteristic
261	#4086	—	2	1	no	—
262	#4086	C₂³	1	1	yes	characteristic
263	#4085	—	2	1	no	—
264	#4085	—	2	1	no	—
265	#4084	—	2	1	no	—
266	#4084	C₂³	1	1	yes	characteristic
267	#4083	—	2	1	no	—
268	#4082	C₂³	1	1	yes	characteristic
269	#4082	C₂³	1	1	yes	characteristic
270	#4081	—	2	1	no	—
271	D₄×Dic₅	—	2	1	no	—
272	D₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×#687	C₂³	1	1	yes	characteristic
274	C₂×#687	C₂³	1	1	yes	characteristic
275	C₂×#687	C₂³	1	1	yes	characteristic
276	C₂×#687	C₂³	1	1	yes	characteristic
277	C₂×#686	C₂³	1	1	yes	characteristic
278	C₂×#686	C₂³	1	1	yes	characteristic
279	#4076	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
283	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
284	C₂×#685	—	2	1	no	—
285	#4072	—	2	1	no	—
286	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
287	#4070	—	2	1	no	—
288	C₂×#683	—	2	1	no	—
289	D₅×Q₁₆	—	4	2	no	—
290	#4061	—	4	2	no	—
291	D₅×SD₁₆	—	4	2	no	—
292	#4058	—	4	2	no	—
293	#4055	—	4	2	no	—
294	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
295	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
296	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
297	#4050	—	4	2	no	—
298	C₂×D₄₀	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×#677	C₂³	1	1	yes	characteristic
302	C₂×#677	C₂³	1	1	yes	characteristic
303	C₂×#676	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
306	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4044	D₄	1	1	yes	characteristic
310	#4043	—	2	1	no	—
311	#4043	—	2	1	no	—
312	#4043	—	2	1	no	—
313	#4043	—	2	1	no	—
314	#4043	—	2	1	no	—
315	#4043	C₂³	1	1	yes	characteristic
316	#4043	C₂³	1	1	yes	characteristic
317	#4043	C₂³	1	1	yes	characteristic
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4042	—	2	1	no	—
321	#4042	—	2	1	no	—
322	#4042	—	2	1	no	—
323	#4042	D₄	1	1	yes	characteristic
324	#4041	C₂³	1	1	yes	characteristic
325	#4041	C₂³	1	1	yes	characteristic
326	#4041	C₂³	1	1	yes	characteristic
327	#4040	—	2	1	no	—
328	#4040	—	2	1	no	—
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	D₄	1	1	yes	characteristic
332	#4039	—	2	1	no	—
333	#4039	—	2	1	no	—
334	#4039	C₂³	1	1	yes	characteristic
335	#4038	—	2	1	no	—
336	#4038	—	2	1	no	—
337	D₅×C₄⋊C₄	—	2	1	no	—
338	D₅×C₄⋊C₄	—	2	1	no	—
339	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
340	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
341	#4036	—	2	1	no	—
342	#4035	—	2	1	no	—
343	#4035	D₄	1	1	yes	characteristic
344	#4034	—	2	1	no	—
345	#4034	—	2	1	no	—
346	#4034	C₂³	1	1	yes	characteristic
347	#4034	C₂³	1	1	yes	characteristic
348	#4033	—	2	1	no	—
349	#4033	—	2	1	no	—
350	#4033	C₂³	1	1	yes	characteristic
351	#4033	C₂³	1	1	yes	characteristic
352	#4033	C₂³	1	1	yes	characteristic
353	#4033	C₂³	1	1	yes	characteristic
354	#4033	C₂³	1	1	yes	characteristic
355	#4032	—	2	1	no	—
356	#4032	—	2	1	no	—
357	#4032	—	2	1	no	—
358	#4032	—	2	1	no	—
359	#4031	—	2	1	no	—
360	#4031	—	2	1	no	—
361	#4031	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	D₄	1	1	yes	characteristic
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	D₄	1	1	yes	characteristic
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	D₄	1	1	yes	characteristic
380	#4028	—	2	1	no	—
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	D₅×C₂²⋊C₄	—	2	1	no	—
390	D₅×C₂²⋊C₄	—	2	1	no	—
391	D₅×C₂²⋊C₄	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4025	—	2	1	no	—
394	#4025	D₄	1	1	yes	characteristic
395	#4024	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4022	—	2	1	no	—
405	#4021	—	2	1	no	—
406	#4021	C₂³	1	1	yes	characteristic
407	#4021	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	#4018	—	2	1	no	—
413	#4018	C₂³	1	1	yes	characteristic
414	C₄²×D₅	—	2	1	no	—
415	C₄²×D₅	C₂³	1	1	yes	characteristic
416	#4015	—	2	1	no	—
417	#4015	C₂³	1	1	yes	characteristic
418	#4015	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	—	2	1	no	—
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#106	C₂³	1	1	yes	characteristic
426	C₅×#106	C₂³	1	1	yes	characteristic
427	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
430	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#103	C₂³	1	1	yes	characteristic
434	C₅×#103	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	C₂²⋊#168	C₂³	1	1	yes	characteristic
444	C₂²⋊#168	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	#3946	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	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	#3940	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3561	—	5	1	no	—
486	#3522	—	5	1	no	—
487	#3401	—	5	1	no	—
488	#3401	—	5	1	no	—
489	#3369	—	5	1	no	—
490	#3369	—	5	1	no	—
491	#3316	—	5	1	no	—
492	#3316	—	5	1	no	—
493	#3306	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3298	—	5	1	no	—
496	#3298	—	5	1	no	—
497	#3282	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3271	—	5	1	no	—
500	#3271	—	5	1	no	—
501	#3270	—	5	1	no	—
502	#3270	—	5	1	no	—
503	#3263	—	5	1	no	—
504	#3263	D₅	1	1	yes	characteristic, complemented
505	#3246	—	5	1	no	—
506	#3225	—	5	1	no	—
507	#3225	—	5	1	no	—
508	#3213	—	5	1	no	—
509	#3125	—	5	1	no	—
510	#3125	—	5	1	no	—
511	#3113	—	5	1	no	—
512	#3046	—	5	1	no	—
513	#3046	—	5	1	no	—
514	C₂×#464	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	—	2	1	no	—
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	—	2	1	no	—
522	C₂×C₅×D₄	—	2	1	no	—
523	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	#713	—	8	2	no	—
544	Q₈×D₅	—	2	2	no	—
545	Q₈×D₅	—	4	1	no	—
546	Q₈×D₅	—	4	1	no	—
547	Q₈×D₅	—	4	1	no	—
548	Q₈×D₅	—	4	1	no	—
549	Q₈×D₅	—	4	1	no	—
550	#711	—	2	2	no	—
551	#711	—	4	1	no	—
552	#711	—	4	1	no	—
553	#711	—	4	1	no	—
554	#711	—	8	2	no	—
555	D₄×D₅	—	4	1	no	—
556	D₄×D₅	—	4	1	no	—
557	#709	—	2	2	no	—
558	#709	—	4	1	no	—
559	#709	—	4	1	no	—
560	#709	—	4	1	no	—
561	#709	—	8	2	no	—
562	C₂×D₂₀	—	2	1	no	—
563	C₂×D₂₀	—	2	1	no	—
564	C₂×D₂₀	—	2	1	no	—
565	C₂×D₂₀	C₂×D₄	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	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
581	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₁₀	—	2	1	no	—
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	—	4	1	no	—
589	C₂×Dic₁₀	—	4	1	no	—
590	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
591	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
592	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
595	C₅×Q₁₆	—	4	1	no	—
596	C₅×SD₁₆	—	4	1	no	—
597	C₅×SD₁₆	—	4	1	no	—
598	C₅×D₈	—	4	1	no	—
599	C₅×M₁₆	—	4	1	no	—
600	C₂×C₅×C₈	—	4	1	no	—
601	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
603	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
604	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	—	2	1	no	—
608	C₅×C₄⋊C₄	—	2	1	no	—
609	C₅×C₄⋊C₄	—	2	1	no	—
610	C₅×C₄⋊C₄	—	2	1	no	—
611	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	—	2	1	no	—
620	C₅×C₂²⋊C₄	—	2	1	no	—
621	C₅×C₂²⋊C₄	—	2	1	no	—
622	C₅×C₂²⋊C₄	—	2	1	no	—
623	C₅×C₂²⋊C₄	—	2	1	no	—
624	C₅×C₂²⋊C₄	—	2	1	no	—
625	C₅×C₂²⋊C₄	—	2	1	no	—
626	C₅×C₂²⋊C₄	—	2	1	no	—
627	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₄²×C₅	—	2	1	no	—
630	C₄²×C₅	—	2	1	no	—
631	C₄²×C₅	C₂⁴	1	1	yes	characteristic
632	C₄²×C₅	C₂⁴	1	1	yes	characteristic
633	C₂²⋊Dic₅	—	2	1	no	—
634	C₂²⋊Dic₅	—	2	1	no	—
635	C₂²⋊Dic₅	—	2	1	no	—
636	C₂²⋊Dic₅	—	2	1	no	—
637	C₂²⋊Dic₅	—	2	1	no	—
638	C₂²⋊Dic₅	—	2	1	no	—
639	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	#689	—	2	2	no	—
642	#689	—	4	1	no	—
643	#689	—	4	1	no	—
644	#689	—	4	1	no	—
645	#688	—	4	1	no	—
646	#688	—	4	1	no	—
647	#687	—	2	2	no	—
648	#687	—	4	1	no	—
649	#687	—	4	1	no	—
650	#687	—	4	1	no	—
651	#686	—	4	1	no	—
652	#686	—	4	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	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	C₂×D₄	1	1	yes	characteristic
672	#685	C₂×D₄	1	1	yes	characteristic
673	#685	C₂×D₄	1	1	yes	characteristic
674	#685	C₂×D₄	1	1	yes	characteristic
675	#685	C₂×D₄	1	1	yes	characteristic
676	#685	C₂×D₄	1	1	yes	characteristic
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	—	2	1	no	—
680	C₄⋊Dic₅	—	2	1	no	—
681	C₄⋊Dic₅	—	2	1	no	—
682	C₄⋊Dic₅	—	2	1	no	—
683	C₄⋊Dic₅	—	2	1	no	—
684	C₄⋊Dic₅	—	2	1	no	—
685	C₄⋊Dic₅	—	2	1	no	—
686	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	C₂×D₄	1	1	yes	characteristic
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	#683	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₂×#168	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	Dic₂₀	—	2	2	no	—
727	Dic₂₀	—	2	2	no	—
728	Dic₂₀	—	2	2	no	—
729	D₄₀	—	4	1	no	—
730	#677	—	2	2	no	—
731	#677	—	4	1	no	—
732	#677	—	4	1	no	—
733	#677	—	4	1	no	—
734	#676	—	4	1	no	—
735	C₈×D₅	—	4	1	no	—
736	C₈×D₅	—	4	1	no	—
737	C₈×D₅	—	4	1	no	—
738	C₂×#137	—	5	1	no	—
739	C₂×#137	—	5	1	no	—
740	C₂×#135	—	5	1	no	—
741	C₂×#135	—	5	1	no	—
742	C₂²×Q₁₆	—	5	1	no	—
743	C₂²×SD₁₆	—	5	1	no	—
744	#563	—	10	1	no	—
745	#562	—	10	1	no	—
746	#559	—	5	1	no	—
747	#559	—	10	1	no	—
748	Q₈²	—	5	1	no	—
749	#556	—	5	1	no	—
750	#556	—	5	1	no	—
751	#554	—	5	1	no	—
752	#554	—	10	1	no	—
753	#551	—	10	1	no	—
754	#551	—	10	1	no	—
755	#550	—	5	1	no	—
756	D₄×Q₈	—	5	1	no	—
757	D₄×Q₈	—	5	1	no	—
758	#548	—	5	1	no	—
759	#548	—	5	1	no	—
760	#548	—	5	1	no	—
761	#548	—	5	1	no	—
762	#547	—	5	1	no	—
763	#547	—	5	1	no	—
764	#547	—	10	1	no	—
765	#547	—	10	1	no	—
766	#546	—	5	1	no	—
767	#546	—	5	1	no	—
768	#543	—	10	1	no	—
769	#542	—	5	1	no	—
770	#542	—	5	1	no	—
771	#542	—	10	1	no	—
772	#542	—	10	1	no	—
773	#542	—	10	1	no	—
774	#542	—	10	1	no	—
775	#542	C₂×D₅	1	1	yes	characteristic
776	#542	C₂×D₅	1	1	yes	characteristic, complemented
777	#538	—	10	1	no	—
778	#536	—	5	1	no	—
779	#536	—	5	1	no	—
780	#533	—	5	1	no	—
781	#532	—	5	1	no	—
782	#532	—	10	1	no	—
783	#529	—	5	1	no	—
784	#529	—	10	1	no	—
785	C₂×#124	—	5	1	no	—
786	#520	—	5	1	no	—
787	#520	—	5	1	no	—
788	C₂×C₄×Q₈	—	5	1	no	—
789	#497	—	5	1	no	—
790	#497	—	5	1	no	—
791	#496	—	5	1	no	—
792	#496	—	5	1	no	—
793	#495	—	5	1	no	—
794	#495	—	5	1	no	—
795	#489	—	5	1	no	—
796	#489	—	5	1	no	—
797	#489	—	5	1	no	—
798	#489	—	5	1	no	—
799	#487	—	5	1	no	—
800	#487	—	5	1	no	—
801	#483	—	5	1	no	—
802	#483	—	5	1	no	—
803	#483	—	5	1	no	—
804	#483	—	5	1	no	—
805	#481	—	5	1	no	—
806	#481	—	5	1	no	—
807	#476	—	5	1	no	—
808	#476	—	5	1	no	—
809	#476	C₂×D₅	1	1	yes	characteristic
810	#476	C₂×D₅	1	1	yes	characteristic, complemented
811	#475	—	5	1	no	—
812	#475	—	5	1	no	—
813	#475	—	5	1	no	—
814	#475	—	5	1	no	—
815	#475	C₂×D₅	1	1	yes	characteristic, complemented
816	#475	C₂×D₅	1	1	yes	characteristic, complemented
817	#470	—	5	1	no	—
818	#470	C₂×D₅	1	1	yes	characteristic, complemented
819	#469	—	5	1	no	—
820	#469	C₂×D₅	1	1	yes	characteristic
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	C₂×D₅	1	1	yes	characteristic
828	#465	C₂×D₅	1	1	yes	characteristic, complemented
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	—	5	1	no	—
837	#464	—	5	1	no	—
838	#464	—	5	1	no	—
839	#464	C₂×D₅	1	1	yes	characteristic
840	#464	C₂×D₅	1	1	yes	characteristic, complemented
841	#463	—	5	1	no	—
842	#463	—	5	1	no	—
843	#463	—	5	1	no	—
844	#463	—	5	1	no	—
845	#463	—	5	1	no	—
846	#463	—	5	1	no	—
847	#463	C₂×D₅	1	1	yes	characteristic
848	#463	C₂×D₅	1	1	yes	characteristic
849	#462	—	5	1	no	—
850	#462	—	5	1	no	—
851	#462	—	5	1	no	—
852	#462	—	5	1	no	—
853	#461	—	5	1	no	—
854	#461	—	5	1	no	—
855	#461	—	5	1	no	—
856	#461	—	5	1	no	—
857	#460	—	5	1	no	—
858	#460	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	—	5	1	no	—
863	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#451	—	5	1	no	—
866	#451	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#449	—	5	1	no	—
871	#448	—	5	1	no	—
872	#448	—	5	1	no	—
873	#448	—	5	1	no	—
874	#448	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#446	—	5	1	no	—
878	#446	—	5	1	no	—
879	#442	—	5	1	no	—
880	#442	—	5	1	no	—
881	#441	—	5	1	no	—
882	#441	—	5	1	no	—
883	#441	—	5	1	no	—
884	#441	—	5	1	no	—
885	#441	—	5	1	no	—
886	#441	—	5	1	no	—
887	C₄×SD₁₆	—	5	1	no	—
888	C₄×SD₁₆	—	5	1	no	—
889	C₄×SD₁₆	—	5	1	no	—
890	C₄×SD₁₆	—	5	1	no	—
891	#435	—	5	1	no	—
892	#435	—	5	1	no	—
893	#435	—	5	1	no	—
894	#435	—	5	1	no	—
895	C₈×D₄	—	5	1	no	—
896	C₈×D₄	—	5	1	no	—
897	#433	—	5	1	no	—
898	#433	—	5	1	no	—
899	#432	—	5	1	no	—
900	#424	—	5	1	no	—
901	#424	C₂×D₅	1	1	yes	characteristic, complemented
902	C₂×C₄⋊C₈	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	C₂×#103	—	5	1	no	—
906	C₂×#103	—	5	1	no	—
907	C₂×#103	—	5	1	no	—
908	C₂×#102	—	5	1	no	—
909	C₂³×C₅	—	2	1	no	—
910	C₂³×C₅	—	2	1	no	—
911	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂²×D₅	—	2	1	no	—
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	4	2	no	—
915	C₂²×D₅	—	8	1	no	—
916	C₂²×D₅	—	8	1	no	—
917	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
918	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	8	1	no	—
924	C₅×Q₈	—	8	1	no	—
925	C₅×D₄	—	2	1	no	—
926	C₅×D₄	—	2	1	no	—
927	C₅×D₄	—	2	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	8	1	no	—
930	C₅×D₄	—	8	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	8	1	no	—
940	C₂×C₄×C₅	—	8	1	no	—
941	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
947	C₂²⋊D₅	—	2	2	no	—
948	C₂²⋊D₅	—	4	1	no	—
949	C₂²⋊D₅	—	4	2	no	—
950	C₂²⋊D₅	—	4	2	no	—
951	C₂²⋊D₅	—	4	2	no	—
952	C₂²⋊D₅	—	4	2	no	—
953	C₂²⋊D₅	—	8	1	no	—
954	C₂²⋊D₅	—	8	1	no	—
955	C₂²⋊D₅	—	8	1	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	1	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	4	2	no	—
964	C₂×Dic₅	—	8	1	no	—
965	C₂×Dic₅	—	8	1	no	—
966	C₂×Dic₅	—	8	1	no	—
967	C₂×Dic₅	—	8	1	no	—
968	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
969	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	D₂₀	—	2	2	no	—
975	D₂₀	—	2	1	no	—
976	D₂₀	—	2	1	no	—
977	D₂₀	—	2	1	no	—
978	D₂₀	—	2	1	no	—
979	D₂₀	—	4	2	no	—
980	D₂₀	—	8	1	no	—
981	D₂₀	—	8	1	no	—
982	C₄×D₅	—	2	2	no	—
983	C₄×D₅	—	2	1	no	—
984	C₄×D₅	—	2	1	no	—
985	C₄×D₅	—	2	1	no	—
986	C₄×D₅	—	2	1	no	—
987	C₄×D₅	—	4	1	no	—
988	C₄×D₅	—	4	2	no	—
989	C₄×D₅	—	4	2	no	—
990	C₄×D₅	—	4	2	no	—
991	C₄×D₅	—	8	1	no	—
992	C₄×D₅	—	8	1	no	—
993	C₄×D₅	—	8	1	no	—
994	C₄×D₅	—	8	1	no	—
995	C₄×D₅	—	8	1	no	—
996	C₄×D₅	—	8	1	no	—
997	C₄×D₅	—	8	1	no	—
998	Dic₁₀	—	2	1	no	—
999	Dic₁₀	—	2	1	no	—
1000	Dic₁₀	—	2	1	no	—
1001	Dic₁₀	—	2	1	no	—
1002	Dic₁₀	—	2	1	no	—
1003	Dic₁₀	—	2	1	no	—
1004	Dic₁₀	—	2	1	no	—
1005	Dic₁₀	—	4	1	no	—
1006	Dic₁₀	—	4	2	no	—
1007	Dic₁₀	—	8	1	no	—
1008	Dic₁₀	—	8	1	no	—
1009	Dic₁₀	—	8	1	no	—
1010	Dic₁₀	—	8	1	no	—
1011	Dic₁₀	—	8	1	no	—
1012	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1013	C₅×C₈	—	2	1	no	—
1014	C₅×C₈	—	2	1	no	—
1015	C₅×C₈	—	2	1	no	—
1016	C₅×C₈	—	2	1	no	—
1017	#168	—	2	1	no	—
1018	#168	—	2	1	no	—
1019	#168	—	2	1	no	—
1020	#168	—	2	1	no	—
1021	C₂×#41	—	5	1	no	—
1022	C₂×#41	—	5	1	no	—
1023	C₂×#41	—	5	1	no	—
1024	C₂×#41	—	5	1	no	—
1025	C₂×#41	—	10	1	no	—
1026	C₂×#41	—	10	1	no	—
1027	C₂×#41	—	10	1	no	—
1028	C₂²×Q₈	—	5	1	no	—
1029	C₂²×Q₈	—	5	1	no	—
1030	C₂²×Q₈	—	5	1	no	—
1031	C₂²×Q₈	—	5	1	no	—
1032	C₂²×D₄	—	5	1	no	—
1033	#137	—	20	2	no	—
1034	#137	—	20	2	no	—
1035	#135	—	20	2	no	—
1036	#135	—	20	2	no	—
1037	C₂×Q₁₆	—	5	1	no	—
1038	C₂×Q₁₆	—	5	1	no	—
1039	C₂×Q₁₆	—	5	1	no	—
1040	C₂×Q₁₆	—	5	1	no	—
1041	C₂×Q₁₆	—	5	1	no	—
1042	C₂×Q₁₆	—	5	1	no	—
1043	C₂×Q₁₆	—	5	1	no	—
1044	C₂×Q₁₆	—	20	2	no	—
1045	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×SD₁₆	—	5	1	no	—
1050	C₂×SD₁₆	—	5	1	no	—
1051	C₂×SD₁₆	—	5	1	no	—
1052	C₂×SD₁₆	—	5	1	no	—
1053	C₂×SD₁₆	—	5	1	no	—
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	5	1	no	—
1056	C₂×SD₁₆	—	20	2	no	—
1057	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1058	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1059	C₂×D₈	—	5	1	no	—
1060	C₂×D₈	—	5	1	no	—
1061	C₂×D₈	—	5	1	no	—
1062	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1063	C₂×M₁₆	—	5	1	no	—
1064	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1065	C₂²×C₈	—	5	1	no	—
1066	C₂²×C₈	—	5	1	no	—
1067	C₂²×C₈	—	5	1	no	—
1068	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1069	C₄⋊Q₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	5	1	no	—
1072	C₄⋊Q₈	—	5	1	no	—
1073	C₄⋊Q₈	—	5	1	no	—
1074	C₄⋊Q₈	—	10	1	no	—
1075	C₄⋊Q₈	—	10	1	no	—
1076	C₄⋊Q₈	—	10	1	no	—
1077	C₄⋊Q₈	—	10	1	no	—
1078	C₄⋊Q₈	—	10	1	no	—
1079	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1080	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1081	#127	—	5	1	no	—
1082	#127	—	10	1	no	—
1083	#126	—	2	1	no	—
1084	#126	—	2	1	no	—
1085	#126	—	5	1	no	—
1086	#126	—	5	1	no	—
1087	#126	—	10	1	no	—
1088	#126	—	10	1	no	—
1089	#126	—	10	1	no	—
1090	#126	—	10	1	no	—
1091	#126	—	10	1	no	—
1092	#126	—	10	1	no	—
1093	#125	—	5	1	no	—
1094	#125	—	10	1	no	—
1095	#125	—	10	1	no	—
1096	#124	—	2	1	no	—
1097	#124	—	2	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	5	1	no	—
1101	#124	—	5	1	no	—
1102	#124	—	5	1	no	—
1103	#124	—	5	1	no	—
1104	#124	—	5	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	—	10	1	no	—
1109	#124	—	10	1	no	—
1110	#124	—	10	1	no	—
1111	#124	—	10	1	no	—
1112	#124	—	10	1	no	—
1113	#124	—	10	1	no	—
1114	#124	—	10	1	no	—
1115	#124	C₂²×D₅	1	1	yes	characteristic
1116	#124	C₂²×D₅	1	1	yes	characteristic
1117	#123	—	2	1	no	—
1118	#123	—	2	1	no	—
1119	#123	—	5	1	no	—
1120	#123	—	5	1	no	—
1121	#123	—	10	1	no	—
1122	#123	—	10	1	no	—
1123	#123	—	10	1	no	—
1124	#123	—	10	1	no	—
1125	#123	—	10	1	no	—
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	C₂²⋊Q₈	—	2	1	no	—
1136	C₂²⋊Q₈	—	2	1	no	—
1137	C₂²⋊Q₈	—	5	1	no	—
1138	C₂²⋊Q₈	—	5	1	no	—
1139	C₂²⋊Q₈	—	5	1	no	—
1140	C₂²⋊Q₈	—	5	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	10	1	no	—
1143	C₂²⋊Q₈	—	10	1	no	—
1144	C₂²⋊Q₈	—	10	1	no	—
1145	C₂²⋊Q₈	—	10	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	1	no	—
1155	C₂²⋊Q₈	—	10	1	no	—
1156	C₂²⋊Q₈	—	10	1	no	—
1157	C₂²⋊Q₈	—	10	1	no	—
1158	C₂²⋊Q₈	—	10	1	no	—
1159	C₂²⋊Q₈	—	10	1	no	—
1160	C₂²⋊Q₈	—	10	1	no	—
1161	C₂²⋊Q₈	—	10	1	no	—
1162	C₂²⋊Q₈	—	10	1	no	—
1163	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1164	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1165	#121	—	5	1	no	—
1166	#121	—	5	1	no	—
1167	#121	—	5	1	no	—
1168	#121	—	5	1	no	—
1169	#121	—	5	1	no	—
1170	#121	—	10	1	no	—
1171	#121	—	10	1	no	—
1172	#121	—	10	1	no	—
1173	#121	—	10	1	no	—
1174	#121	—	10	1	no	—
1175	#121	—	10	1	no	—
1176	#121	—	10	1	no	—
1177	#121	—	10	1	no	—
1178	#121	—	10	1	no	—
1179	#121	C₂²×D₅	1	1	yes	characteristic
1180	#121	C₂²×D₅	1	1	yes	characteristic
1181	#120	—	10	1	no	—
1182	#120	—	10	1	no	—
1183	C₄×Q₈	—	5	1	no	—
1184	C₄×Q₈	—	5	1	no	—
1185	C₄×Q₈	—	5	1	no	—
1186	C₄×Q₈	—	5	1	no	—
1187	C₄×Q₈	—	5	1	no	—
1188	C₄×Q₈	—	5	1	no	—
1189	C₄×Q₈	—	5	1	no	—
1190	C₄×Q₈	—	5	1	no	—
1191	C₄×Q₈	—	5	1	no	—
1192	C₄×Q₈	—	10	1	no	—
1193	C₄×Q₈	—	10	1	no	—
1194	C₄×Q₈	—	10	1	no	—
1195	C₄×Q₈	—	10	1	no	—
1196	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1197	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1198	C₄×D₄	—	5	1	no	—
1199	C₄×D₄	—	5	1	no	—
1200	C₄×D₄	—	5	1	no	—
1201	C₄×D₄	—	5	1	no	—
1202	C₄×D₄	—	5	1	no	—
1203	C₄×D₄	—	5	1	no	—
1204	C₄×D₄	—	5	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	—	10	1	no	—
1212	C₄×D₄	—	10	1	no	—
1213	C₄×D₄	—	10	1	no	—
1214	C₄×D₄	—	10	1	no	—
1215	C₄×D₄	—	10	1	no	—
1216	C₄×D₄	—	10	1	no	—
1217	C₄×D₄	—	10	1	no	—
1218	C₄×D₄	—	10	1	no	—
1219	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1220	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1221	#117	—	5	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	—	10	1	no	—
1227	#117	C₂²×D₅	1	1	yes	characteristic
1228	C₂×C₄⋊C₄	—	5	1	no	—
1229	C₂×C₄⋊C₄	—	5	1	no	—
1230	C₂×C₄⋊C₄	—	5	1	no	—
1231	C₂×C₄⋊C₄	—	10	1	no	—
1232	C₂×C₄⋊C₄	—	10	1	no	—
1233	C₂×C₄⋊C₄	—	10	1	no	—
1234	C₂×C₂²⋊C₄	—	10	1	no	—
1235	C₂×C₂²⋊C₄	—	10	1	no	—
1236	C₂×C₂²⋊C₄	—	10	1	no	—
1237	C₂×C₂²⋊C₄	—	10	1	no	—
1238	C₂×C₄²	—	5	1	no	—
1239	C₂×C₄²	—	10	1	no	—
1240	#106	—	5	1	no	—
1241	#106	—	5	1	no	—
1242	#106	—	5	1	no	—
1243	#106	—	5	1	no	—
1244	#106	C₂²×D₅	1	1	yes	characteristic
1245	#106	C₂²×D₅	1	1	yes	characteristic
1246	#106	C₂²×D₅	1	1	yes	characteristic
1247	#106	C₂²×D₅	1	1	yes	characteristic
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	—	5	1	no	—
1251	C₄⋊C₈	—	5	1	no	—
1252	C₄⋊C₈	—	5	1	no	—
1253	C₄⋊C₈	—	5	1	no	—
1254	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1255	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1256	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1257	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	—	5	1	no	—
1272	#103	—	5	1	no	—
1273	#103	—	5	1	no	—
1274	#103	C₂²×D₅	1	1	yes	characteristic
1275	#103	C₂²×D₅	1	1	yes	characteristic
1276	#103	C₂²×D₅	1	1	yes	characteristic
1277	#103	C₂²×D₅	1	1	yes	characteristic
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	C₂²×D₅	1	1	yes	characteristic
1287	#102	C₂²×D₅	1	1	yes	characteristic
1288	#102	C₂²×D₅	1	1	yes	characteristic
1289	#102	C₂²×D₅	1	1	yes	characteristic
1290	C₂²⋊C₈	—	5	1	no	—
1291	C₂²⋊C₈	—	5	1	no	—
1292	C₂²⋊C₈	—	5	1	no	—
1293	C₂²⋊C₈	—	5	1	no	—
1294	C₂²⋊C₈	—	5	1	no	—
1295	C₂²⋊C₈	—	5	1	no	—
1296	#97	—	5	1	no	—
1297	#97	—	5	1	no	—
1298	#97	—	5	1	no	—
1299	#97	—	5	1	no	—
1300	C₄×C₈	—	5	1	no	—
1301	C₄×C₈	—	5	1	no	—
1302	C₂²×C₅	—	2	1	no	—
1303	C₂²×C₅	—	2	1	no	—
1304	C₂²×C₅	—	2	1	no	—
1305	C₂²×C₅	—	4	1	no	—
1306	C₂²×C₅	—	4	1	no	—
1307	C₂²×C₅	—	4	1	no	—
1308	C₂²×C₅	—	4	1	no	—
1309	C₂²×C₅	—	4	1	no	—
1310	C₂²×C₅	—	4	1	no	—
1311	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1312	C₂×D₅	—	2	1	no	—
1313	C₂×D₅	—	2	1	no	—
1314	C₂×D₅	—	2	1	no	—
1315	C₂×D₅	—	2	1	no	—
1316	C₂×D₅	—	2	1	no	—
1317	C₂×D₅	—	4	1	no	—
1318	C₂×D₅	—	4	1	no	—
1319	C₂×D₅	—	4	1	no	—
1320	C₂×D₅	—	4	1	no	—
1321	C₂×D₅	—	4	1	no	—
1322	C₂×D₅	—	4	1	no	—
1323	C₂×D₅	—	16	2	no	—
1324	C₂×D₅	#577	1	2	yes	—
1325	C₄×C₅	—	2	1	no	—
1326	C₄×C₅	—	2	1	no	—
1327	C₄×C₅	—	2	1	no	—
1328	C₄×C₅	—	2	1	no	—
1329	C₄×C₅	—	2	1	no	—
1330	C₄×C₅	—	4	1	no	—
1331	C₄×C₅	—	4	1	no	—
1332	C₄×C₅	—	4	1	no	—
1333	C₄×C₅	—	4	1	no	—
1334	C₄×C₅	—	4	1	no	—
1335	C₄×C₅	—	4	1	no	—
1336	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1337	C₄×C₅	#585	1	1	yes	characteristic
1338	Dic₅	—	2	1	no	—
1339	Dic₅	—	2	1	no	—
1340	Dic₅	—	2	2	no	—
1341	Dic₅	—	2	1	no	—
1342	Dic₅	—	2	1	no	—
1343	Dic₅	—	2	1	no	—
1344	Dic₅	—	2	1	no	—
1345	Dic₅	—	4	1	no	—
1346	Dic₅	—	4	1	no	—
1347	Dic₅	—	4	1	no	—
1348	Dic₅	—	4	1	no	—
1349	Dic₅	—	4	1	no	—
1350	C₂⁴	—	10	1	no	—
1351	#41	—	10	2	no	—
1352	#41	—	10	2	no	—
1353	#41	—	20	1	no	—
1354	#41	—	20	1	no	—
1355	#41	—	20	1	no	—
1356	#41	—	20	1	no	—
1357	#41	—	20	1	no	—
1358	#41	—	20	1	no	—
1359	#41	—	40	2	no	—
1360	#41	—	40	2	no	—
1361	#41	—	40	2	no	—
1362	C₂×Q₈	—	2	1	no	—
1363	C₂×Q₈	—	2	1	no	—
1364	C₂×Q₈	—	5	1	no	—
1365	C₂×Q₈	—	5	1	no	—
1366	C₂×Q₈	—	5	1	no	—
1367	C₂×Q₈	—	5	1	no	—
1368	C₂×Q₈	—	5	1	no	—
1369	C₂×Q₈	—	10	1	no	—
1370	C₂×Q₈	—	10	1	no	—
1371	C₂×Q₈	—	10	1	no	—
1372	C₂×Q₈	—	10	1	no	—
1373	C₂×Q₈	—	10	1	no	—
1374	C₂×Q₈	—	10	1	no	—
1375	C₂×Q₈	—	10	2	no	—
1376	C₂×Q₈	—	20	1	no	—
1377	C₂×Q₈	—	20	1	no	—
1378	C₂×Q₈	—	20	1	no	—
1379	C₂×Q₈	—	20	1	no	—
1380	C₂×Q₈	—	20	1	no	—
1381	C₂×Q₈	—	20	1	no	—
1382	C₂×Q₈	—	20	1	no	—
1383	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1384	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1385	C₂×D₄	—	2	1	no	—
1386	C₂×D₄	—	2	1	no	—
1387	C₂×D₄	—	5	1	no	—
1388	C₂×D₄	—	5	1	no	—
1389	C₂×D₄	—	5	1	no	—
1390	C₂×D₄	—	5	1	no	—
1391	C₂×D₄	—	5	1	no	—
1392	C₂×D₄	—	10	1	no	—
1393	C₂×D₄	—	10	1	no	—
1394	C₂×D₄	—	10	1	no	—
1395	C₂×D₄	—	10	1	no	—
1396	C₂×D₄	—	10	1	no	—
1397	C₂×D₄	—	10	1	no	—
1398	C₂×D₄	—	10	1	no	—
1399	C₂×D₄	—	10	1	no	—
1400	C₂×D₄	—	10	1	no	—
1401	C₂×D₄	—	10	1	no	—
1402	C₂×D₄	—	10	1	no	—
1403	C₂×D₄	—	20	1	no	—
1404	C₂×D₄	—	20	1	no	—
1405	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1406	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1407	C₂²×C₄	—	2	1	no	—
1408	C₂²×C₄	—	2	1	no	—
1409	C₂²×C₄	—	5	1	no	—
1410	C₂²×C₄	—	5	1	no	—
1411	C₂²×C₄	—	5	1	no	—
1412	C₂²×C₄	—	5	1	no	—
1413	C₂²×C₄	—	10	1	no	—
1414	C₂²×C₄	—	10	1	no	—
1415	C₂²×C₄	—	10	1	no	—
1416	C₂²×C₄	—	10	1	no	—
1417	C₂²×C₄	—	10	1	no	—
1418	C₂²×C₄	—	10	1	no	—
1419	C₂²×C₄	—	10	1	no	—
1420	C₂²×C₄	—	10	1	no	—
1421	C₂²×C₄	—	10	1	no	—
1422	C₂²×C₄	—	10	1	no	—
1423	C₂²×C₄	—	10	1	no	—
1424	C₂²×C₄	—	10	1	no	—
1425	C₂²×C₄	—	10	1	no	—
1426	C₂²×C₄	—	10	1	no	—
1427	C₂²×C₄	—	10	1	no	—
1428	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1429	Q₁₆	—	4	1	no	—
1430	Q₁₆	—	10	2	no	—
1431	Q₁₆	—	10	2	no	—
1432	Q₁₆	—	10	2	no	—
1433	Q₁₆	—	10	2	no	—
1434	Q₁₆	—	20	1	no	—
1435	Q₁₆	—	20	1	no	—
1436	Q₁₆	—	20	1	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	4	1	no	—
1439	SD₁₆	—	10	2	no	—
1440	SD₁₆	—	10	2	no	—
1441	SD₁₆	—	20	1	no	—
1442	SD₁₆	—	20	1	no	—
1443	SD₁₆	—	20	1	no	—
1444	SD₁₆	—	20	1	no	—
1445	SD₁₆	—	20	1	no	—
1446	SD₁₆	—	20	1	no	—
1447	SD₁₆	—	20	1	no	—
1448	SD₁₆	—	20	1	no	—
1449	D₈	—	4	1	no	—
1450	D₈	—	20	1	no	—
1451	D₈	—	20	1	no	—
1452	D₈	—	20	1	no	—
1453	M₁₆	—	4	1	no	—
1454	M₁₆	—	20	1	no	—
1455	C₂×C₈	—	4	1	no	—
1456	C₂×C₈	—	5	1	no	—
1457	C₂×C₈	—	5	1	no	—
1458	C₂×C₈	—	5	1	no	—
1459	C₂×C₈	—	5	1	no	—
1460	C₂×C₈	—	20	1	no	—
1461	C₂×C₈	—	20	1	no	—
1462	C₂×C₈	—	20	1	no	—
1463	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1464	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1465	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1466	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	5	1	no	—
1474	C₄⋊C₄	—	5	1	no	—
1475	C₄⋊C₄	—	5	1	no	—
1476	C₄⋊C₄	—	5	1	no	—
1477	C₄⋊C₄	—	5	1	no	—
1478	C₄⋊C₄	—	5	1	no	—
1479	C₄⋊C₄	—	5	1	no	—
1480	C₄⋊C₄	—	5	1	no	—
1481	C₄⋊C₄	—	5	1	no	—
1482	C₄⋊C₄	—	5	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	—	10	1	no	—
1498	C₄⋊C₄	—	10	1	no	—
1499	C₄⋊C₄	—	10	1	no	—
1500	C₄⋊C₄	—	10	1	no	—
1501	C₄⋊C₄	—	10	1	no	—
1502	C₄⋊C₄	—	10	1	no	—
1503	C₄⋊C₄	—	10	1	no	—
1504	C₄⋊C₄	—	10	1	no	—
1505	C₄⋊C₄	—	10	1	no	—
1506	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1507	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1508	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1509	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1510	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	2	1	no	—
1520	C₂²⋊C₄	—	2	1	no	—
1521	C₂²⋊C₄	—	2	1	no	—
1522	C₂²⋊C₄	—	5	1	no	—
1523	C₂²⋊C₄	—	5	1	no	—
1524	C₂²⋊C₄	—	5	1	no	—
1525	C₂²⋊C₄	—	5	1	no	—
1526	C₂²⋊C₄	—	5	1	no	—
1527	C₂²⋊C₄	—	5	1	no	—
1528	C₂²⋊C₄	—	5	1	no	—
1529	C₂²⋊C₄	—	5	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	—	10	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	—	10	1	no	—
1545	C₂²⋊C₄	—	10	1	no	—
1546	C₂²⋊C₄	—	10	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	—	10	1	no	—
1551	C₂²⋊C₄	—	10	1	no	—
1552	C₂²⋊C₄	—	10	1	no	—
1553	C₂²⋊C₄	—	10	1	no	—
1554	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1555	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1556	C₄²	—	2	1	no	—
1557	C₄²	—	2	1	no	—
1558	C₄²	—	5	1	no	—
1559	C₄²	—	5	1	no	—
1560	C₄²	—	5	1	no	—
1561	C₄²	—	5	1	no	—
1562	C₄²	—	10	1	no	—
1563	C₄²	—	10	1	no	—
1564	C₄²	—	10	1	no	—
1565	C₄²	—	10	1	no	—
1566	C₄²	—	10	1	no	—
1567	C₄²	—	10	1	no	—
1568	C₄²	—	10	1	no	—
1569	C₄²	—	10	1	no	—
1570	C₄²	C₂³×D₅	1	1	yes	characteristic
1571	C₄²	C₂³×D₅	1	1	yes	characteristic
1572	C₂×C₅	—	4	1	no	—
1573	C₂×C₅	—	8	1	no	—
1574	C₂×C₅	—	8	1	no	—
1575	C₂×C₅	#3488	1	1	yes	characteristic
1576	C₂×C₅	C₂×#577	1	1	yes	characteristic
1577	C₂×C₅	#3586	1	1	yes	characteristic
1578	D₅	—	2	2	no	—
1579	D₅	—	4	1	no	—
1580	D₅	—	8	1	no	—
1581	D₅	—	8	1	no	—
1582	C₂³	—	2	1	no	—
1583	C₂³	—	2	1	no	—
1584	C₂³	—	5	1	no	—
1585	C₂³	—	5	1	no	—
1586	C₂³	—	10	1	no	—
1587	C₂³	—	10	1	no	—
1588	C₂³	—	20	2	no	—
1589	C₂³	—	40	1	no	—
1590	C₂³	—	40	1	no	—
1591	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	5	2	no	—
1597	Q₈	—	8	1	no	—
1598	Q₈	—	8	1	no	—
1599	Q₈	—	10	1	no	—
1600	Q₈	—	10	1	no	—
1601	Q₈	—	10	1	no	—
1602	Q₈	—	10	1	no	—
1603	Q₈	—	10	1	no	—
1604	Q₈	—	10	1	no	—
1605	Q₈	—	10	1	no	—
1606	Q₈	—	20	1	no	—
1607	Q₈	—	20	2	no	—
1608	Q₈	—	40	1	no	—
1609	Q₈	—	40	1	no	—
1610	Q₈	—	40	1	no	—
1611	Q₈	—	40	1	no	—
1612	Q₈	—	40	1	no	—
1613	D₄	—	2	1	no	—
1614	D₄	—	2	1	no	—
1615	D₄	—	2	1	no	—
1616	D₄	—	2	1	no	—
1617	D₄	—	8	1	no	—
1618	D₄	—	8	1	no	—
1619	D₄	—	10	2	no	—
1620	D₄	—	10	2	no	—
1621	D₄	—	10	1	no	—
1622	D₄	—	10	1	no	—
1623	D₄	—	10	1	no	—
1624	D₄	—	10	1	no	—
1625	D₄	—	20	2	no	—
1626	D₄	—	20	1	no	—
1627	D₄	—	20	2	no	—
1628	D₄	—	20	2	no	—
1629	D₄	—	20	2	no	—
1630	D₄	—	20	2	no	—
1631	D₄	—	40	1	no	—
1632	D₄	—	40	1	no	—
1633	D₄	—	40	1	no	—
1634	D₄	—	40	1	no	—
1635	D₄	—	40	1	no	—
1636	D₄	—	40	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	2	1	no	—
1645	C₂×C₄	—	5	1	no	—
1646	C₂×C₄	—	5	1	no	—
1647	C₂×C₄	—	5	1	no	—
1648	C₂×C₄	—	5	1	no	—
1649	C₂×C₄	—	5	1	no	—
1650	C₂×C₄	—	5	1	no	—
1651	C₂×C₄	—	8	1	no	—
1652	C₂×C₄	—	8	1	no	—
1653	C₂×C₄	—	10	2	no	—
1654	C₂×C₄	—	10	1	no	—
1655	C₂×C₄	—	10	1	no	—
1656	C₂×C₄	—	10	1	no	—
1657	C₂×C₄	—	10	1	no	—
1658	C₂×C₄	—	10	1	no	—
1659	C₂×C₄	—	10	1	no	—
1660	C₂×C₄	—	10	1	no	—
1661	C₂×C₄	—	10	1	no	—
1662	C₂×C₄	—	10	1	no	—
1663	C₂×C₄	—	10	1	no	—
1664	C₂×C₄	—	20	1	no	—
1665	C₂×C₄	—	20	2	no	—
1666	C₂×C₄	—	20	2	no	—
1667	C₂×C₄	—	20	2	no	—
1668	C₂×C₄	—	20	2	no	—
1669	C₂×C₄	—	40	1	no	—
1670	C₂×C₄	—	40	1	no	—
1671	C₂×C₄	—	40	1	no	—
1672	C₂×C₄	—	40	1	no	—
1673	C₂×C₄	—	40	1	no	—
1674	C₂×C₄	—	40	1	no	—
1675	C₂×C₄	—	40	1	no	—
1676	C₂×C₄	—	40	1	no	—
1677	C₂×C₄	—	40	1	no	—
1678	C₂×C₄	—	40	1	no	—
1679	C₂×C₄	—	40	1	no	—
1680	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1681	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1682	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1683	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1684	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1685	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	10	1	no	—
1691	C₈	—	10	1	no	—
1692	C₈	—	10	1	no	—
1693	C₈	—	10	1	no	—
1694	C₅	#62021	1	1	yes	characteristic, complemented, Sylow
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	5	2	no	—
1705	C₂²	—	10	1	no	—
1706	C₂²	—	10	1	no	—
1707	C₂²	—	10	1	no	—
1708	C₂²	—	10	1	no	—
1709	C₂²	—	10	1	no	—
1710	C₂²	—	20	1	no	—
1711	C₂²	—	20	1	no	—
1712	C₂²	—	20	1	no	—
1713	C₂²	—	20	1	no	—
1714	C₂²	—	20	1	no	—
1715	C₂²	—	20	1	no	—
1716	C₂²	—	80	2	no	—
1717	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	10	1	no	—
1730	C₄	—	10	1	no	—
1731	C₄	—	10	2	no	—
1732	C₄	—	10	1	no	—
1733	C₄	—	10	1	no	—
1734	C₄	—	10	1	no	—
1735	C₄	—	10	1	no	—
1736	C₄	—	20	1	no	—
1737	C₄	—	20	1	no	—
1738	C₄	—	20	1	no	—
1739	C₄	—	20	1	no	—
1740	C₄	—	20	1	no	—
1741	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1742	C₄	#66287	1	1	yes	characteristic
1743	C₂	—	4	1	no	—
1744	C₂	—	8	1	no	—
1745	C₂	—	8	1	no	—
1746	C₂	—	10	2	no	—
1747	C₂	—	20	1	no	—
1748	C₂	—	40	1	no	—
1749	C₂	—	40	1	no	—
1750	C₂	#10618280	1	1	yes	characteristic
1751	C₂	D₅×#577	1	1	yes	characteristic
1752	C₂	#10619109	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3263	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3263	D₅
hypocenter	C₅	#62021
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3263

Complements

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

N	H ≅ G/N	type
1. #10618470	C₂	semidirect
2. #10618459	C₂	semidirect
3. C₅×#3263	C₂	semidirect
4. #10615195	C₂	semidirect
5. #10615193	C₂	semidirect
6. #10612822	C₂	semidirect
7. #10612808	C₂	semidirect
8. #10612801	C₂	semidirect
9. #10612780	C₂	semidirect
10. #10612767	C₂	semidirect
11. #10612753	C₂	semidirect
12. #10612735	C₂	semidirect
13. #10612729	C₂	semidirect
14. #10612657	C₂	semidirect
15. #10612648	C₂	semidirect
16. #10612616	C₂	semidirect
17. #10612605	C₂	semidirect
18. #10612423	C₂	semidirect
19. #10612420	C₂	semidirect
20. #10612419	C₂	semidirect
21. #10612409	C₂	semidirect
22. #10612362	C₂	semidirect
23. #10612342	C₂	semidirect
24. D₅×#464	C₂	semidirect
25. #10612323	C₂	semidirect
26. #10612289	C₂	semidirect
27. #10612273	C₂	semidirect
28. #10612270	C₂	semidirect
29. #10612259	C₂	semidirect
30. #10610820	C₂	semidirect
31. #10610813	C₂	semidirect
33. C₅×#542	C₂²	semidirect
35. C₂×#4061	C₂²	semidirect
38. C₂×#4055	C₂²	semidirect
43. #66056	C₂²	semidirect
49. #66015	C₂²	semidirect
62. #65969	C₂²	semidirect
70. #65933	C₂²	semidirect
72. #65916	C₂²	semidirect
78. #65880	C₂²	semidirect
82. #65857	C₂²	semidirect
84. C₅×#476	C₂²	semidirect
85. C₅×#475	C₂²	semidirect
86. C₅×#475	C₂²	semidirect
87. C₅×#470	C₂²	semidirect
90. C₅×#465	C₂²	semidirect
92. C₅×#464	C₂²	semidirect
95. C₅×#424	C₂²	semidirect
96. #65479	C₂²	semidirect
97. #65475	C₂²	semidirect
104. #65451	C₂²	semidirect
110. #65416	C₂²	semidirect
111. #65400	C₂²	semidirect
113. C₂×#3948	C₂²	semidirect
114. #65383	C₂²	semidirect
115. #65382	C₂²	semidirect
117. #65373	C₂²	semidirect
118. #65349	C₂²	semidirect
122. #65339	C₂²	semidirect
124. #65336	C₂²	semidirect
125. #65332	C₂²	semidirect
126. #65329	C₂²	semidirect
130. #65320	C₂²	semidirect
131. #65319	C₂²	semidirect
133. C₄×#688	C₂²	semidirect
134. #65308	C₂²	semidirect
138. #65289	C₂²	semidirect
143. #65153	C₂²	semidirect
147. #65151	C₂²	semidirect
148. #65143	C₂²	semidirect
149. #65143	C₂²	semidirect
150. #65143	C₂²	semidirect
151. #65142	C₂²	semidirect
152. #65142	C₂²	semidirect
153. #65142	C₂²	semidirect
155. #65138	C₂²	semidirect
156. #65138	C₂²	semidirect
161. #65130	C₂²	semidirect
162. #65130	C₂²	semidirect
163. #65129	C₂²	semidirect
164. #65128	C₂²	semidirect
169. #65120	C₂²	semidirect
170. #65117	C₂²	semidirect
172. #65105	C₂²	semidirect
177. #65095	C₂²	semidirect
179. D₅×#103	C₂²	semidirect
181. #65087	C₂²	semidirect
183. #65082	C₂²	semidirect
184. #65081	C₂²	semidirect
185. #65078	C₂²	semidirect
186. #65078	C₂²	semidirect
188. #65072	C₂²	semidirect
200. #65051	C₂²	semidirect
201. #65051	C₂²	semidirect
202. #65047	C₂²	semidirect
504. #3263	D₅	semidirect
776. #542	C₂×D₅	semidirect
810. #476	C₂×D₅	semidirect
815. #475	C₂×D₅	semidirect
816. #475	C₂×D₅	semidirect
818. #470	C₂×D₅	semidirect
828. #465	C₂×D₅	semidirect
840. #464	C₂×D₅	semidirect
901. #424	C₂×D₅	semidirect
1694. C₅	#62021	semidirect

Maximal subgroups

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

subgroup	index
#10618470	2
#10618459	2
C₅×#3263	2
#10615195	2
#10615193	2
#10612822	2
#10612808	2
#10612801	2
#10612780	2
#10612767	2
#10612753	2
#10612735	2
#10612729	2
#10612657	2
#10612648	2
#10612616	2
#10612605	2
#10612423	2
#10612420	2
#10612419	2
#10612409	2
#10612362	2
#10612342	2
D₅×#464	2
#10612323	2
#10612289	2
#10612273	2
#10612270	2
#10612259	2
#10610820	2
#10610813	2
#62021	5