Subgroups — #12974175

Order 1280.

1672 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618453	C₂	1	1	yes	maximal, characteristic
2	#10618411	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3258	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615199	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615180	C₂	1	1	yes	maximal, characteristic, complemented
6	#10612970	C₂	1	1	yes	maximal, characteristic, complemented
7	#10612942	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612906	C₂	1	1	yes	maximal, characteristic, complemented
9	#10612878	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612845	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612827	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612748	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612731	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612643	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612619	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612547	C₂	1	1	yes	maximal, characteristic
17	#10612516	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612498	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612476	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612399	C₂	1	1	yes	maximal, characteristic
21	#10612370	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612337	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612337	C₂	1	1	yes	maximal, characteristic, complemented
24	#10612304	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612303	C₂	1	1	yes	maximal, characteristic, complemented
26	#10612214	C₂	1	1	yes	maximal, characteristic, complemented
27	#10612192	C₂	1	1	yes	maximal, characteristic, complemented
28	#10612166	C₂	1	1	yes	maximal, characteristic, complemented
29	#10612144	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610825	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610802	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#541	C₂²	1	1	yes	characteristic, complemented
34	#66067	C₂²	1	1	yes	characteristic
35	#66065	C₂²	1	1	yes	characteristic
36	#66062	C₂²	1	1	yes	characteristic
37	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	#66042	—	2	1	no	—
39	#66042	—	2	1	no	—
40	#66039	—	2	1	no	—
41	#66036	—	2	1	no	—
42	#66036	—	2	1	no	—
43	#66036	—	2	1	no	—
44	#66031	C₂²	1	1	yes	characteristic
45	#66027	—	2	1	no	—
46	#66027	—	2	1	no	—
47	#66022	C₂²	1	1	yes	characteristic, complemented
48	#66019	—	2	1	no	—
49	#66019	—	2	1	no	—
50	#66016	C₂²	1	1	yes	characteristic
51	#66015	—	2	1	no	—
52	#66013	—	2	1	no	—
53	D₅×#124	C₂²	1	1	yes	characteristic
54	#65998	—	2	1	no	—
55	#65992	—	2	1	no	—
56	#65975	—	2	1	no	—
57	#65971	—	2	1	no	—
58	#65962	C₂²	1	1	yes	characteristic
59	#65962	C₂²	1	1	yes	characteristic
60	#65962	C₂²	1	1	yes	characteristic
61	#65958	C₂²	1	1	yes	characteristic
62	#65956	C₂²	1	1	yes	characteristic, complemented
63	#65956	C₂²	1	1	yes	characteristic, complemented
64	#65941	C₂²	1	1	yes	characteristic
65	#65934	C₂²	1	1	yes	characteristic
66	#65914	C₂²	1	1	yes	characteristic
67	#65912	C₂²	1	1	yes	characteristic
68	#65912	C₂²	1	1	yes	characteristic
69	#65906	C₂²	1	1	yes	characteristic
70	#65906	C₂²	1	1	yes	characteristic, complemented
71	#65906	C₂²	1	1	yes	characteristic, complemented
72	#65891	C₂²	1	1	yes	characteristic
73	#65879	C₂²	1	1	yes	characteristic
74	#65868	C₂²	1	1	yes	characteristic
75	#65856	C₂²	1	1	yes	characteristic
76	#65852	C₂²	1	1	yes	characteristic, complemented
77	C₅×#479	C₂²	1	1	yes	characteristic, complemented
78	C₅×#478	C₂²	1	1	yes	characteristic
79	C₅×#477	C₂²	1	1	yes	characteristic, complemented
80	C₅×#475	C₂²	1	1	yes	characteristic, complemented
81	C₅×#470	C₂²	1	1	yes	characteristic, complemented
82	C₅×#468	C₂²	1	1	yes	characteristic
83	C₅×#467	C₂²	1	1	yes	characteristic, complemented
84	C₅×#465	C₂²	1	1	yes	characteristic
85	C₅×#464	C₂²	1	1	yes	characteristic
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#462	C₂²	1	1	yes	characteristic, complemented
88	C₅×#461	C₂²	1	1	yes	characteristic
89	C₅×#424	C₂²	1	1	yes	characteristic, complemented
90	#65479	C₂²	1	1	yes	characteristic
91	#65479	C₂²	1	1	yes	characteristic
92	#65475	C₂²	1	1	yes	characteristic
93	#65475	C₂²	1	1	yes	characteristic
94	#65475	C₂²	1	1	yes	characteristic, complemented
95	#65475	C₂²	1	1	yes	characteristic, complemented
96	#65473	C₂²	1	1	yes	characteristic, complemented
97	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
98	#65459	C₂²	1	1	yes	characteristic
99	#65459	C₂²	1	1	yes	characteristic
100	#65458	C₂²	1	1	yes	characteristic
101	#65458	C₂²	1	1	yes	characteristic
102	#65456	C₂²	1	1	yes	characteristic
103	#65456	C₂²	1	1	yes	characteristic
104	#65453	C₂²	1	1	yes	characteristic
105	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
106	#65426	C₂²	1	1	yes	characteristic, complemented
107	#65423	C₂²	1	1	yes	characteristic
108	#65418	C₂²	1	1	yes	characteristic
109	M₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
110	#65405	C₂²	1	1	yes	characteristic, complemented
111	#65403	C₂²	1	1	yes	characteristic
112	#65399	C₂²	1	1	yes	characteristic
113	C₂×#3947	C₂²	1	1	yes	characteristic, complemented
114	#65383	C₂²	1	1	yes	characteristic, complemented
115	#65380	C₂²	1	1	yes	characteristic, complemented
116	#65379	C₂²	1	1	yes	characteristic, complemented
117	#65372	C₂²	1	1	yes	characteristic
118	#65355	C₂²	1	1	yes	characteristic
119	#65352	C₂²	1	1	yes	characteristic, complemented
120	#65343	C₂²	1	1	yes	characteristic
121	#65343	C₂²	1	1	yes	characteristic
122	#65341	C₂²	1	1	yes	characteristic, complemented
123	#65341	C₂²	1	1	yes	characteristic, complemented
124	#65340	C₂²	1	1	yes	characteristic, complemented
125	#65340	C₂²	1	1	yes	characteristic, complemented
126	#65338	C₂²	1	1	yes	characteristic
127	#65337	C₂²	1	1	yes	characteristic
128	#65331	C₂²	1	1	yes	characteristic
129	#65330	C₂²	1	1	yes	characteristic
130	#65320	C₂²	1	1	yes	characteristic, complemented
131	#65317	C₂²	1	1	yes	characteristic
132	#65317	C₂²	1	1	yes	characteristic
133	#65311	C₂²	1	1	yes	characteristic, complemented
134	#65310	C₂²	1	1	yes	characteristic, complemented
135	#65309	C₂²	1	1	yes	characteristic, complemented
136	#65308	C₂²	1	1	yes	characteristic
137	#65298	C₂²	1	1	yes	characteristic
138	#65288	C₂²	1	1	yes	characteristic, complemented
139	#65178	C₂²	1	1	yes	characteristic
140	#65177	C₂²	1	1	yes	characteristic
141	#65177	C₂²	1	1	yes	characteristic
142	#65177	C₂²	1	1	yes	characteristic, complemented
143	#65174	C₂²	1	1	yes	characteristic
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65165	C₂²	1	1	yes	characteristic, complemented
146	#65162	C₂²	1	1	yes	characteristic, complemented
147	#65156	C₂²	1	1	yes	characteristic
148	#65156	C₂²	1	1	yes	characteristic
149	#65156	C₂²	1	1	yes	characteristic, complemented
150	#65155	C₂²	1	1	yes	characteristic
151	#65145	C₂²	1	1	yes	characteristic, complemented
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65142	C₂²	1	1	yes	characteristic, complemented
154	#65141	C₂²	1	1	yes	characteristic
155	#65140	C₂²	1	1	yes	characteristic, complemented
156	#65139	C₂²	1	1	yes	characteristic, complemented
157	#65138	C₂²	1	1	yes	characteristic, complemented
158	#65136	C₂²	1	1	yes	characteristic
159	#65134	C₂²	1	1	yes	characteristic
160	#65134	C₂²	1	1	yes	characteristic
161	#65130	C₂²	1	1	yes	characteristic
162	#65129	C₂²	1	1	yes	characteristic
163	#65129	C₂²	1	1	yes	characteristic
164	#65129	C₂²	1	1	yes	characteristic, complemented
165	#65129	C₂²	1	1	yes	characteristic, complemented
166	#65124	C₂²	1	1	yes	characteristic
167	#65124	C₂²	1	1	yes	characteristic
168	#65124	C₂²	1	1	yes	characteristic, complemented
169	#65124	C₂²	1	1	yes	characteristic, complemented
170	#65118	C₂²	1	1	yes	characteristic, complemented
171	#65106	C₂²	1	1	yes	characteristic
172	#65104	C₂²	1	1	yes	characteristic
173	#65104	C₂²	1	1	yes	characteristic
174	#65104	C₂²	1	1	yes	characteristic, complemented
175	#65103	C₂²	1	1	yes	characteristic
176	#65103	C₂²	1	1	yes	characteristic
177	#65103	C₂²	1	1	yes	characteristic, complemented
178	#65097	C₂²	1	1	yes	characteristic
179	#65097	C₂²	1	1	yes	characteristic
180	#65097	C₂²	1	1	yes	characteristic, complemented
181	#65097	C₂²	1	1	yes	characteristic, complemented
182	#65095	C₂²	1	1	yes	characteristic
183	#65095	C₂²	1	1	yes	characteristic
184	#65086	C₂²	1	1	yes	characteristic, complemented
185	#65086	C₂²	1	1	yes	characteristic, complemented
186	#65086	C₂²	1	1	yes	characteristic, complemented
187	#65086	C₂²	1	1	yes	characteristic, complemented
188	#65084	C₂²	1	1	yes	characteristic
189	#65084	C₂²	1	1	yes	characteristic
190	#65079	C₂²	1	1	yes	characteristic, complemented
191	#65079	C₂²	1	1	yes	characteristic, complemented
192	#65078	C₂²	1	1	yes	characteristic, complemented
193	#65078	C₂²	1	1	yes	characteristic, complemented
194	#65077	C₂²	1	1	yes	characteristic
195	#65073	C₂²	1	1	yes	characteristic
196	#65068	C₂²	1	1	yes	characteristic
197	#65065	C₂²	1	1	yes	characteristic
198	#65065	C₂²	1	1	yes	characteristic
199	#65054	C₂²	1	1	yes	characteristic
200	#65054	C₂²	1	1	yes	characteristic
201	#65047	C₂²	1	1	yes	characteristic
202	#65046	C₂²	1	1	yes	characteristic
203	#61018	—	5	1	no	maximal, Sylow
204	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	C₂³	1	1	yes	characteristic
209	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#126	—	2	1	no	—
219	C₅×#126	—	2	1	no	—
220	C₅×#125	—	2	1	no	—
221	C₅×#125	—	2	1	no	—
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×#124	—	2	1	no	—
224	C₅×#124	C₂³	1	1	yes	characteristic
225	C₅×#123	—	2	1	no	—
226	C₅×C₂²⋊Q₈	—	2	1	no	—
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	C₅×#117	C₂³	1	1	yes	characteristic
236	#4093	—	2	1	no	—
237	#4093	C₂³	1	1	yes	characteristic
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	—	2	1	no	—
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	#4090	C₂³	1	1	yes	characteristic
248	#4090	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#688	C₂³	1	1	yes	characteristic
254	C₂×#688	C₂³	1	1	yes	characteristic
255	#4086	—	2	1	no	—
256	#4084	C₂³	1	1	yes	characteristic
257	#4083	—	2	1	no	—
258	#4082	C₂³	1	1	yes	characteristic
259	#4081	—	2	1	no	—
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	C₂³	1	1	yes	characteristic
262	C₂×#687	C₂³	1	1	yes	characteristic
263	C₂×#687	C₂³	1	1	yes	characteristic
264	#4076	C₂³	1	1	yes	characteristic
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₂×#685	—	2	1	no	—
268	#4072	—	2	1	no	—
269	#4070	C₂³	1	1	yes	characteristic
270	#4070	C₂³	1	1	yes	characteristic
271	#4070	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×#681	C₂³	1	1	yes	characteristic
274	C₂²×#168	C₂³	1	1	yes	characteristic
275	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
276	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
277	C₂×#677	C₂³	1	1	yes	characteristic
278	C₂×#677	C₂³	1	1	yes	characteristic
279	#4044	—	2	1	no	—
280	#4044	—	2	1	no	—
281	#4044	—	2	1	no	—
282	#4044	—	2	1	no	—
283	#4044	—	2	1	no	—
284	#4044	—	2	1	no	—
285	#4044	—	2	1	no	—
286	#4044	—	2	1	no	—
287	#4043	—	2	1	no	—
288	#4043	C₂³	1	1	yes	characteristic
289	#4043	C₂³	1	1	yes	characteristic
290	#4043	C₂³	1	1	yes	characteristic
291	#4042	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4041	C₂³	1	1	yes	characteristic
297	#4040	—	2	1	no	—
298	#4040	—	2	1	no	—
299	#4040	—	2	1	no	—
300	#4040	—	2	1	no	—
301	#4040	—	2	1	no	—
302	#4039	D₄	1	1	yes	characteristic
303	#4039	D₄	1	1	yes	characteristic
304	#4039	C₂³	1	1	yes	characteristic
305	#4038	—	2	1	no	—
306	#4038	—	2	1	no	—
307	#4038	—	2	1	no	—
308	#4038	—	2	1	no	—
309	#4038	C₂³	1	1	yes	characteristic
310	#4038	C₂³	1	1	yes	characteristic
311	#4038	C₂³	1	1	yes	characteristic
312	#4038	C₂³	1	1	yes	characteristic
313	D₅×C₄⋊C₄	—	2	1	no	—
314	D₅×C₄⋊C₄	—	2	1	no	—
315	#4036	—	2	1	no	—
316	#4036	—	2	1	no	—
317	#4036	C₂³	1	1	yes	characteristic
318	#4036	C₂³	1	1	yes	characteristic
319	#4035	—	2	1	no	—
320	#4035	—	2	1	no	—
321	#4035	—	2	1	no	—
322	#4035	—	2	1	no	—
323	#4035	—	2	1	no	—
324	#4035	—	2	1	no	—
325	#4035	—	2	1	no	—
326	#4035	—	2	1	no	—
327	#4034	—	2	1	no	—
328	#4034	—	2	1	no	—
329	#4034	—	2	1	no	—
330	#4034	—	2	1	no	—
331	#4034	—	2	1	no	—
332	#4034	C₂³	1	1	yes	characteristic
333	#4034	C₂³	1	1	yes	characteristic
334	#4033	—	2	1	no	—
335	#4033	—	2	1	no	—
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	—	2	1	no	—
342	#4033	D₄	1	1	yes	characteristic
343	#4033	D₄	1	1	yes	characteristic
344	#4033	C₂³	1	1	yes	characteristic
345	#4033	C₂³	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4032	—	2	1	no	—
348	#4032	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	—	2	1	no	—
360	#4029	—	2	1	no	—
361	#4029	—	2	1	no	—
362	#4028	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	#4027	D₄	1	1	yes	characteristic
366	#4027	D₄	1	1	yes	characteristic
367	#4027	D₄	1	1	yes	characteristic
368	#4027	D₄	1	1	yes	characteristic
369	D₅×C₂²⋊C₄	—	2	1	no	—
370	D₅×C₂²⋊C₄	—	2	1	no	—
371	D₅×C₂²⋊C₄	—	2	1	no	—
372	#4025	—	2	1	no	—
373	#4025	—	2	1	no	—
374	#4025	—	2	1	no	—
375	#4025	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4023	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4021	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	—	2	1	no	—
385	C₄×D₂₀	C₂³	1	1	yes	characteristic
386	#4018	—	2	1	no	—
387	#4018	—	2	1	no	—
388	#4018	—	2	1	no	—
389	#4018	—	2	1	no	—
390	#4018	—	2	1	no	—
391	#4018	—	2	1	no	—
392	#4018	C₂³	1	1	yes	characteristic
393	#4018	C₂³	1	1	yes	characteristic
394	C₄²×D₅	C₂³	1	1	yes	characteristic
395	C₄²×D₅	C₂³	1	1	yes	characteristic
396	#4016	C₂³	1	1	yes	characteristic
397	#4015	C₂³	1	1	yes	characteristic
398	#4015	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	—	2	1	no	—
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#106	C₂³	1	1	yes	characteristic
410	C₅×#106	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×C₄⋊C₈	C₂³	1	1	yes	characteristic
414	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#102	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3952	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	#3949	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3947	C₂³	1	1	yes	characteristic
455	#3947	C₂³	1	1	yes	characteristic
456	#3947	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3510	—	5	1	no	—
480	#3509	—	5	1	no	—
481	#3258	—	5	1	no	—
482	#3258	—	5	1	no	—
483	#3258	—	5	1	no	—
484	#3258	D₅	1	1	yes	characteristic, complemented
485	#3240	—	5	1	no	—
486	#3240	—	5	1	no	—
487	#3237	—	5	1	no	—
488	#3237	—	5	1	no	—
489	#3218	—	5	1	no	—
490	#3218	—	5	1	no	—
491	#3215	—	5	1	no	—
492	#3215	—	5	1	no	—
493	#3202	—	5	1	no	—
494	#3202	—	5	1	no	—
495	#3200	—	5	1	no	—
496	#3200	—	5	1	no	—
497	#3181	—	5	1	no	—
498	#3181	—	5	1	no	—
499	#3172	—	5	1	no	—
500	#3172	—	5	1	no	—
501	#3127	—	5	1	no	—
502	#3127	—	5	1	no	—
503	#3123	—	5	1	no	—
504	#3123	—	5	1	no	—
505	#3121	—	5	1	no	—
506	#3121	—	5	1	no	—
507	#3121	—	5	1	no	—
508	#3121	—	5	1	no	—
509	#2923	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	1	no	—
512	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	—	2	1	no	—
518	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
519	C₂×C₂²⋊D₅	—	2	1	no	—
520	C₂×C₂²⋊D₅	—	2	1	no	—
521	C₂×C₂²⋊D₅	—	2	1	no	—
522	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
523	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
524	C₂²×Dic₅	—	2	1	no	—
525	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
526	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
527	Q₈×D₅	—	4	1	no	—
528	Q₈×D₅	—	4	1	no	—
529	Q₈×D₅	—	4	1	no	—
530	Q₈×D₅	—	4	1	no	—
531	Q₈×D₅	—	4	1	no	—
532	Q₈×D₅	—	4	1	no	—
533	D₄×D₅	—	4	1	no	—
534	D₄×D₅	—	4	1	no	—
535	#709	—	4	1	no	—
536	#709	—	4	1	no	—
537	C₂×D₂₀	—	2	1	no	—
538	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
539	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
540	C₂×C₄×D₅	—	2	1	no	—
541	C₂×C₄×D₅	—	2	1	no	—
542	C₂×C₄×D₅	—	2	1	no	—
543	C₂×C₄×D₅	—	2	1	no	—
544	C₂×C₄×D₅	—	2	1	no	—
545	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
546	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
547	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
548	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
549	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
550	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
551	C₂×Dic₁₀	—	2	1	no	—
552	C₂×Dic₁₀	—	2	1	no	—
553	C₂×Dic₁₀	—	2	1	no	—
554	C₂×Dic₁₀	—	2	1	no	—
555	C₂×Dic₁₀	—	2	1	no	—
556	C₂×Dic₁₀	—	2	1	no	—
557	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
558	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
559	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
560	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
561	C₅×Q₁₆	—	4	1	no	—
562	C₅×Q₁₆	—	4	1	no	—
563	C₅×SD₁₆	—	4	1	no	—
564	C₅×SD₁₆	—	4	1	no	—
565	C₅×M₁₆	—	4	1	no	—
566	C₂×C₅×C₈	—	4	1	no	—
567	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	—	2	1	no	—
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₄²×C₅	—	2	1	no	—
598	C₄²×C₅	—	2	1	no	—
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	C₂⁴	1	1	yes	characteristic
601	C₄²×C₅	C₂⁴	1	1	yes	characteristic
602	C₂²⋊Dic₅	—	2	1	no	—
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	#689	—	4	1	no	—
610	#689	—	4	1	no	—
611	#689	—	4	1	no	—
612	#689	—	4	1	no	—
613	#688	—	4	1	no	—
614	#688	—	4	1	no	—
615	#687	—	4	1	no	—
616	#687	—	4	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	C₂×D₄	1	1	yes	characteristic
636	#685	C₂×D₄	1	1	yes	characteristic
637	#685	C₂×D₄	1	1	yes	characteristic
638	#685	C₂×D₄	1	1	yes	characteristic
639	C₄⋊Dic₅	—	2	1	no	—
640	C₄⋊Dic₅	—	2	1	no	—
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	—	2	1	no	—
644	C₄⋊Dic₅	—	2	1	no	—
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
651	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
652	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	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	—	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	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	#681	—	4	1	no	—
702	C₂×#168	—	4	1	no	—
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	Dic₂₀	—	4	1	no	—
708	Dic₂₀	—	4	1	no	—
709	#677	—	4	1	no	—
710	#677	—	4	1	no	—
711	#559	—	10	1	no	—
712	#559	—	10	1	no	—
713	#557	—	10	1	no	—
714	#557	—	10	1	no	—
715	#556	—	10	1	no	—
716	#556	—	10	1	no	—
717	#556	—	10	1	no	—
718	#556	—	10	1	no	—
719	#552	—	10	1	no	—
720	#552	—	10	1	no	—
721	#552	—	10	1	no	—
722	#552	—	10	1	no	—
723	#551	—	10	1	no	—
724	#551	—	10	1	no	—
725	#551	—	10	1	no	—
726	#551	—	10	1	no	—
727	#542	—	5	1	no	—
728	#542	—	5	1	no	—
729	#542	—	5	1	no	—
730	#542	C₂×D₅	1	1	yes	characteristic
731	#541	—	5	1	no	—
732	#541	—	5	1	no	—
733	#541	—	5	1	no	—
734	#541	C₂×D₅	1	1	yes	characteristic, complemented
735	#536	—	5	1	no	—
736	#536	—	5	1	no	—
737	#536	—	5	1	no	—
738	#535	—	5	1	no	—
739	#533	—	5	1	no	—
740	#533	—	5	1	no	—
741	#533	—	5	1	no	—
742	#533	—	5	1	no	—
743	#533	—	5	1	no	—
744	#533	—	5	1	no	—
745	C₂×C₄⋊Q₈	—	5	1	no	—
746	#529	—	5	1	no	—
747	#529	—	5	1	no	—
748	#529	—	5	1	no	—
749	#529	—	5	1	no	—
750	C₂×#124	—	5	1	no	—
751	#519	—	5	1	no	—
752	#519	—	5	1	no	—
753	#519	—	5	1	no	—
754	#518	—	5	1	no	—
755	C₄×#41	—	5	1	no	—
756	#501	—	5	1	no	—
757	#501	—	5	1	no	—
758	#501	—	5	1	no	—
759	#501	—	5	1	no	—
760	#497	—	5	1	no	—
761	#497	—	5	1	no	—
762	#497	—	5	1	no	—
763	#497	—	5	1	no	—
764	#491	—	5	1	no	—
765	#491	—	5	1	no	—
766	#491	—	5	1	no	—
767	#491	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	—	5	1	no	—
771	#489	—	5	1	no	—
772	#485	—	5	1	no	—
773	#485	—	5	1	no	—
774	#485	—	5	1	no	—
775	#485	—	5	1	no	—
776	#485	—	5	1	no	—
777	#485	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	C₂×D₅	1	1	yes	characteristic, complemented
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	C₂×D₅	1	1	yes	characteristic
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	C₂×D₅	1	1	yes	characteristic, complemented
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	C₂×D₅	1	1	yes	characteristic, complemented
804	#470	—	5	1	no	—
805	#470	—	5	1	no	—
806	#470	—	5	1	no	—
807	#470	C₂×D₅	1	1	yes	characteristic, complemented
808	#468	—	5	1	no	—
809	#468	—	5	1	no	—
810	#468	—	5	1	no	—
811	#468	C₂×D₅	1	1	yes	characteristic
812	#467	—	5	1	no	—
813	#467	—	5	1	no	—
814	#467	—	5	1	no	—
815	#467	C₂×D₅	1	1	yes	characteristic, complemented
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	C₂×D₅	1	1	yes	characteristic
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	5	1	no	—
826	#464	C₂×D₅	1	1	yes	characteristic
827	#464	C₂×D₅	1	1	yes	characteristic
828	#462	—	5	1	no	—
829	#462	—	5	1	no	—
830	#462	—	5	1	no	—
831	#462	C₂×D₅	1	1	yes	characteristic, complemented
832	#461	—	5	1	no	—
833	#461	—	5	1	no	—
834	#461	—	5	1	no	—
835	#461	C₂×D₅	1	1	yes	characteristic
836	#451	—	5	1	no	—
837	#451	—	5	1	no	—
838	#451	—	5	1	no	—
839	#451	—	5	1	no	—
840	#451	—	5	1	no	—
841	#451	—	5	1	no	—
842	#451	—	5	1	no	—
843	#451	—	5	1	no	—
844	#450	—	5	1	no	—
845	#450	—	5	1	no	—
846	#450	—	5	1	no	—
847	#450	—	5	1	no	—
848	#448	—	5	1	no	—
849	#448	—	5	1	no	—
850	#448	—	5	1	no	—
851	#448	—	5	1	no	—
852	#441	—	5	1	no	—
853	#441	—	5	1	no	—
854	#441	—	5	1	no	—
855	#441	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	—	5	1	no	—
859	#440	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	#433	—	5	1	no	—
869	#433	—	5	1	no	—
870	#433	—	5	1	no	—
871	#433	—	5	1	no	—
872	#432	—	5	1	no	—
873	#432	—	5	1	no	—
874	#432	—	5	1	no	—
875	#432	—	5	1	no	—
876	#424	—	5	1	no	—
877	#424	C₂×D₅	1	1	yes	characteristic, complemented
878	#408	—	5	1	no	—
879	#408	—	5	1	no	—
880	C₄×M₁₆	—	5	1	no	—
881	C₂×#97	—	5	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
884	C₂²×D₅	—	2	1	no	—
885	C₂²×D₅	—	4	2	no	—
886	C₂²×D₅	—	8	1	no	—
887	C₂²×D₅	—	8	1	no	—
888	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
889	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
890	C₅×Q₈	—	2	1	no	—
891	C₅×Q₈	—	2	1	no	—
892	C₅×Q₈	—	2	1	no	—
893	C₅×Q₈	—	2	1	no	—
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	8	1	no	—
897	C₅×D₄	—	2	1	no	—
898	C₅×D₄	—	2	1	no	—
899	C₅×D₄	—	8	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
916	C₂²⋊D₅	—	4	1	no	—
917	C₂²⋊D₅	—	4	1	no	—
918	C₂²⋊D₅	—	4	2	no	—
919	C₂²⋊D₅	—	8	1	no	—
920	C₂²⋊D₅	—	8	1	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	—	2	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	4	1	no	—
929	C₂×Dic₅	—	4	1	no	—
930	C₂×Dic₅	—	8	1	no	—
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
937	D₂₀	—	2	1	no	—
938	D₂₀	—	2	1	no	—
939	D₂₀	—	4	1	no	—
940	D₂₀	—	8	1	no	—
941	C₄×D₅	—	2	1	no	—
942	C₄×D₅	—	2	1	no	—
943	C₄×D₅	—	2	1	no	—
944	C₄×D₅	—	2	1	no	—
945	C₄×D₅	—	4	1	no	—
946	C₄×D₅	—	4	1	no	—
947	C₄×D₅	—	4	1	no	—
948	C₄×D₅	—	4	1	no	—
949	C₄×D₅	—	4	2	no	—
950	C₄×D₅	—	4	2	no	—
951	C₄×D₅	—	4	2	no	—
952	C₄×D₅	—	8	1	no	—
953	C₄×D₅	—	8	1	no	—
954	Dic₁₀	—	2	1	no	—
955	Dic₁₀	—	2	1	no	—
956	Dic₁₀	—	2	1	no	—
957	Dic₁₀	—	2	1	no	—
958	Dic₁₀	—	2	1	no	—
959	Dic₁₀	—	2	1	no	—
960	Dic₁₀	—	4	1	no	—
961	Dic₁₀	—	4	2	no	—
962	Dic₁₀	—	4	2	no	—
963	Dic₁₀	—	4	2	no	—
964	Dic₁₀	—	4	2	no	—
965	Dic₁₀	—	4	2	no	—
966	Dic₁₀	—	8	1	no	—
967	C₅×C₈	—	2	1	no	—
968	C₅×C₈	—	2	1	no	—
969	C₅×C₈	—	2	1	no	—
970	C₅×C₈	—	2	1	no	—
971	#168	—	2	1	no	—
972	#168	—	2	1	no	—
973	#168	—	2	1	no	—
974	#168	—	2	1	no	—
975	C₂×#41	—	5	1	no	—
976	C₂²×Q₈	—	5	1	no	—
977	C₂²×Q₈	—	5	1	no	—
978	C₂²×Q₈	—	5	1	no	—
979	C₂²×D₄	—	5	1	no	—
980	C₂×Q₁₆	—	5	1	no	—
981	C₂×Q₁₆	—	5	1	no	—
982	C₂×Q₁₆	—	5	1	no	—
983	C₂×Q₁₆	—	5	1	no	—
984	C₂×Q₁₆	—	5	1	no	—
985	C₂×Q₁₆	—	5	1	no	—
986	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
987	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
988	C₂×SD₁₆	—	5	1	no	—
989	C₂×SD₁₆	—	5	1	no	—
990	C₂×SD₁₆	—	5	1	no	—
991	C₂×SD₁₆	—	5	1	no	—
992	C₂×SD₁₆	—	5	1	no	—
993	C₂×SD₁₆	—	5	1	no	—
994	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
995	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
996	C₂×M₁₆	—	5	1	no	—
997	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
998	C₂²×C₈	—	5	1	no	—
999	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1000	C₄⋊Q₈	—	5	1	no	—
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	5	1	no	—
1003	C₄⋊Q₈	—	5	1	no	—
1004	C₄⋊Q₈	—	5	1	no	—
1005	C₄⋊Q₈	—	5	1	no	—
1006	C₄⋊Q₈	—	10	1	no	—
1007	C₄⋊Q₈	—	10	1	no	—
1008	C₄⋊Q₈	—	10	1	no	—
1009	C₄⋊Q₈	—	10	1	no	—
1010	C₄⋊Q₈	—	10	1	no	—
1011	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1013	#127	—	10	1	no	—
1014	#126	—	2	1	no	—
1015	#126	—	2	1	no	—
1016	#126	—	2	1	no	—
1017	#126	—	10	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#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	#125	—	2	1	no	—
1031	#125	—	2	1	no	—
1032	#125	—	5	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	5	1	no	—
1035	#125	—	10	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	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	C₂²×D₅	1	1	yes	characteristic
1046	#124	—	2	1	no	—
1047	#124	—	5	1	no	—
1048	#124	—	5	1	no	—
1049	#124	—	5	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	—	10	1	no	—
1053	#124	—	10	1	no	—
1054	#124	—	10	1	no	—
1055	#124	—	10	1	no	—
1056	#124	—	10	1	no	—
1057	#124	—	10	1	no	—
1058	#124	—	10	1	no	—
1059	#124	C₂²×D₅	1	1	yes	characteristic
1060	#123	—	2	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	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	C₂²⋊Q₈	—	2	1	no	—
1075	C₂²⋊Q₈	—	5	1	no	—
1076	C₂²⋊Q₈	—	5	1	no	—
1077	C₂²⋊Q₈	—	5	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	—	10	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	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1096	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1097	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1098	#121	—	5	1	no	—
1099	#121	—	5	1	no	—
1100	#121	—	5	1	no	—
1101	#121	C₂²×D₅	1	1	yes	characteristic
1102	#120	—	10	1	no	—
1103	#120	—	10	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	10	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1130	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	5	1	no	—
1153	#117	—	5	1	no	—
1154	#117	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#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	#117	—	10	1	no	—
1168	#117	C₂²×D₅	1	1	yes	characteristic
1169	C₂×C₄⋊C₄	—	10	1	no	—
1170	C₂×C₄⋊C₄	—	10	1	no	—
1171	C₂×C₂²⋊C₄	—	10	1	no	—
1172	C₂×C₂²⋊C₄	—	10	1	no	—
1173	C₂×C₂²⋊C₄	—	10	1	no	—
1174	C₂×C₂²⋊C₄	—	10	1	no	—
1175	C₂×C₄²	—	5	1	no	—
1176	C₂×C₄²	—	5	1	no	—
1177	C₂×C₄²	—	5	1	no	—
1178	#107	—	5	1	no	—
1179	#107	—	5	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	C₂²×D₅	1	1	yes	characteristic
1185	#107	C₂²×D₅	1	1	yes	characteristic
1186	#106	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	C₂²×D₅	1	1	yes	characteristic
1193	#106	C₂²×D₅	1	1	yes	characteristic
1194	C₄⋊C₈	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1199	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1200	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1201	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	—	5	1	no	—
1205	#103	—	5	1	no	—
1206	#103	—	5	1	no	—
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	—	5	1	no	—
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	#103	C₂²×D₅	1	1	yes	characteristic
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#103	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1233	#102	C₂²×D₅	1	1	yes	characteristic
1234	C₂²⋊C₈	—	5	1	no	—
1235	C₂²⋊C₈	—	5	1	no	—
1236	C₂²⋊C₈	—	5	1	no	—
1237	C₂²⋊C₈	—	5	1	no	—
1238	C₂²⋊C₈	—	5	1	no	—
1239	C₂²⋊C₈	—	5	1	no	—
1240	C₂²⋊C₈	—	5	1	no	—
1241	C₂²⋊C₈	—	5	1	no	—
1242	#97	—	5	1	no	—
1243	#97	—	5	1	no	—
1244	#97	—	5	1	no	—
1245	#97	—	5	1	no	—
1246	#97	—	5	1	no	—
1247	#97	—	5	1	no	—
1248	C₄×C₈	—	5	1	no	—
1249	C₄×C₈	—	5	1	no	—
1250	C₂²×C₅	—	2	1	no	—
1251	C₂²×C₅	—	2	1	no	—
1252	C₂²×C₅	—	2	1	no	—
1253	C₂²×C₅	—	4	1	no	—
1254	C₂²×C₅	—	4	1	no	—
1255	C₂²×C₅	—	4	1	no	—
1256	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1257	C₂×D₅	—	2	1	no	—
1258	C₂×D₅	—	2	1	no	—
1259	C₂×D₅	—	2	1	no	—
1260	C₂×D₅	—	2	1	no	—
1261	C₂×D₅	—	2	1	no	—
1262	C₂×D₅	—	2	1	no	—
1263	C₂×D₅	—	4	1	no	—
1264	C₂×D₅	—	4	1	no	—
1265	C₂×D₅	—	4	1	no	—
1266	C₂×D₅	—	16	2	no	—
1267	C₄×C₅	—	2	1	no	—
1268	C₄×C₅	—	2	1	no	—
1269	C₄×C₅	—	2	1	no	—
1270	C₄×C₅	—	2	1	no	—
1271	C₄×C₅	—	2	1	no	—
1272	C₄×C₅	—	4	1	no	—
1273	C₄×C₅	—	4	1	no	—
1274	C₄×C₅	—	4	1	no	—
1275	C₄×C₅	—	4	1	no	—
1276	C₄×C₅	—	4	1	no	—
1277	C₄×C₅	—	4	1	no	—
1278	C₄×C₅	—	4	1	no	—
1279	C₄×C₅	#585	1	1	yes	characteristic
1280	C₄×C₅	#585	1	1	yes	characteristic
1281	Dic₅	—	2	1	no	—
1282	Dic₅	—	2	1	no	—
1283	Dic₅	—	2	1	no	—
1284	Dic₅	—	2	1	no	—
1285	Dic₅	—	2	1	no	—
1286	Dic₅	—	2	1	no	—
1287	Dic₅	—	4	1	no	—
1288	Dic₅	—	4	1	no	—
1289	Dic₅	—	4	1	no	—
1290	Dic₅	—	4	1	no	—
1291	Dic₅	—	4	1	no	—
1292	Dic₅	—	4	1	no	—
1293	Dic₅	—	4	1	no	—
1294	C₂⁴	—	10	1	no	—
1295	#41	—	20	1	no	—
1296	#41	—	20	1	no	—
1297	C₂×Q₈	—	2	1	no	—
1298	C₂×Q₈	—	5	1	no	—
1299	C₂×Q₈	—	5	1	no	—
1300	C₂×Q₈	—	5	1	no	—
1301	C₂×Q₈	—	5	1	no	—
1302	C₂×Q₈	—	10	1	no	—
1303	C₂×Q₈	—	10	1	no	—
1304	C₂×Q₈	—	10	1	no	—
1305	C₂×Q₈	—	10	1	no	—
1306	C₂×Q₈	—	10	1	no	—
1307	C₂×Q₈	—	10	1	no	—
1308	C₂×Q₈	—	20	1	no	—
1309	C₂×Q₈	—	20	1	no	—
1310	C₂×Q₈	—	20	1	no	—
1311	C₂×Q₈	—	20	1	no	—
1312	C₂×Q₈	—	20	1	no	—
1313	C₂×Q₈	—	20	1	no	—
1314	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1315	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1316	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	5	1	no	—
1319	C₂×D₄	—	5	1	no	—
1320	C₂×D₄	—	5	1	no	—
1321	C₂×D₄	—	5	1	no	—
1322	C₂×D₄	—	10	1	no	—
1323	C₂×D₄	—	10	1	no	—
1324	C₂×D₄	—	10	1	no	—
1325	C₂×D₄	—	10	1	no	—
1326	C₂×D₄	—	20	1	no	—
1327	C₂×D₄	—	20	1	no	—
1328	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1329	C₂²×C₄	—	2	1	no	—
1330	C₂²×C₄	—	5	1	no	—
1331	C₂²×C₄	—	5	1	no	—
1332	C₂²×C₄	—	5	1	no	—
1333	C₂²×C₄	—	5	1	no	—
1334	C₂²×C₄	—	5	1	no	—
1335	C₂²×C₄	—	5	1	no	—
1336	C₂²×C₄	—	5	1	no	—
1337	C₂²×C₄	—	5	1	no	—
1338	C₂²×C₄	—	10	1	no	—
1339	C₂²×C₄	—	10	1	no	—
1340	C₂²×C₄	—	10	1	no	—
1341	C₂²×C₄	—	10	1	no	—
1342	C₂²×C₄	—	10	1	no	—
1343	C₂²×C₄	—	10	1	no	—
1344	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1345	Q₁₆	—	4	1	no	—
1346	Q₁₆	—	4	1	no	—
1347	Q₁₆	—	20	1	no	—
1348	Q₁₆	—	20	1	no	—
1349	Q₁₆	—	20	1	no	—
1350	Q₁₆	—	20	1	no	—
1351	Q₁₆	—	20	1	no	—
1352	Q₁₆	—	20	1	no	—
1353	SD₁₆	—	4	1	no	—
1354	SD₁₆	—	4	1	no	—
1355	SD₁₆	—	20	1	no	—
1356	SD₁₆	—	20	1	no	—
1357	SD₁₆	—	20	1	no	—
1358	SD₁₆	—	20	1	no	—
1359	SD₁₆	—	20	1	no	—
1360	SD₁₆	—	20	1	no	—
1361	M₁₆	—	4	1	no	—
1362	M₁₆	—	20	1	no	—
1363	C₂×C₈	—	4	1	no	—
1364	C₂×C₈	—	5	1	no	—
1365	C₂×C₈	—	5	1	no	—
1366	C₂×C₈	—	5	1	no	—
1367	C₂×C₈	—	5	1	no	—
1368	C₂×C₈	—	20	1	no	—
1369	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1370	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1371	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1372	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	5	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	1	no	—
1387	C₄⋊C₄	—	5	1	no	—
1388	C₄⋊C₄	—	5	1	no	—
1389	C₄⋊C₄	—	5	1	no	—
1390	C₄⋊C₄	—	5	1	no	—
1391	C₄⋊C₄	—	5	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1428	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	5	1	no	—
1439	C₂²⋊C₄	—	5	1	no	—
1440	C₂²⋊C₄	—	5	1	no	—
1441	C₂²⋊C₄	—	5	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1468	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1469	C₄²	—	2	1	no	—
1470	C₄²	—	2	1	no	—
1471	C₄²	—	2	1	no	—
1472	C₄²	—	5	1	no	—
1473	C₄²	—	5	1	no	—
1474	C₄²	—	5	1	no	—
1475	C₄²	—	5	1	no	—
1476	C₄²	—	5	1	no	—
1477	C₄²	—	5	1	no	—
1478	C₄²	—	5	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	10	1	no	—
1481	C₄²	—	10	1	no	—
1482	C₄²	—	10	1	no	—
1483	C₄²	—	10	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	C₂³×D₅	1	1	yes	characteristic
1494	C₄²	C₂³×D₅	1	1	yes	characteristic
1495	C₂×C₅	—	4	1	no	—
1496	C₂×C₅	—	8	1	no	—
1497	C₂×C₅	#3449	1	1	yes	characteristic
1498	C₂×C₅	#3586	1	1	yes	characteristic
1499	C₂×C₅	#3586	1	1	yes	characteristic
1500	D₅	—	4	1	no	—
1501	D₅	—	4	1	no	—
1502	D₅	—	8	1	no	—
1503	C₂³	—	2	1	no	—
1504	C₂³	—	5	1	no	—
1505	C₂³	—	5	1	no	—
1506	C₂³	—	10	1	no	—
1507	C₂³	—	20	2	no	—
1508	C₂³	—	40	1	no	—
1509	C₂³	—	40	1	no	—
1510	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1511	Q₈	—	2	1	no	—
1512	Q₈	—	2	1	no	—
1513	Q₈	—	2	1	no	—
1514	Q₈	—	2	1	no	—
1515	Q₈	—	2	1	no	—
1516	Q₈	—	2	1	no	—
1517	Q₈	—	8	1	no	—
1518	Q₈	—	10	1	no	—
1519	Q₈	—	10	1	no	—
1520	Q₈	—	10	1	no	—
1521	Q₈	—	10	1	no	—
1522	Q₈	—	10	1	no	—
1523	Q₈	—	10	1	no	—
1524	Q₈	—	20	1	no	—
1525	Q₈	—	20	2	no	—
1526	Q₈	—	20	2	no	—
1527	Q₈	—	20	2	no	—
1528	Q₈	—	20	2	no	—
1529	Q₈	—	20	2	no	—
1530	Q₈	—	40	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	8	1	no	—
1534	D₄	—	10	1	no	—
1535	D₄	—	10	1	no	—
1536	D₄	—	20	1	no	—
1537	D₄	—	20	1	no	—
1538	D₄	—	20	1	no	—
1539	D₄	—	20	2	no	—
1540	D₄	—	40	1	no	—
1541	D₄	—	40	1	no	—
1542	D₄	—	40	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	1	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	5	1	no	—
1553	C₂×C₄	—	5	1	no	—
1554	C₂×C₄	—	5	1	no	—
1555	C₂×C₄	—	5	1	no	—
1556	C₂×C₄	—	5	1	no	—
1557	C₂×C₄	—	5	1	no	—
1558	C₂×C₄	—	8	1	no	—
1559	C₂×C₄	—	10	1	no	—
1560	C₂×C₄	—	10	1	no	—
1561	C₂×C₄	—	10	1	no	—
1562	C₂×C₄	—	10	1	no	—
1563	C₂×C₄	—	10	1	no	—
1564	C₂×C₄	—	10	1	no	—
1565	C₂×C₄	—	10	1	no	—
1566	C₂×C₄	—	10	1	no	—
1567	C₂×C₄	—	10	1	no	—
1568	C₂×C₄	—	10	1	no	—
1569	C₂×C₄	—	10	1	no	—
1570	C₂×C₄	—	20	1	no	—
1571	C₂×C₄	—	20	1	no	—
1572	C₂×C₄	—	20	1	no	—
1573	C₂×C₄	—	20	1	no	—
1574	C₂×C₄	—	20	2	no	—
1575	C₂×C₄	—	20	2	no	—
1576	C₂×C₄	—	20	2	no	—
1577	C₂×C₄	—	20	1	no	—
1578	C₂×C₄	—	20	1	no	—
1579	C₂×C₄	—	40	1	no	—
1580	C₂×C₄	—	40	1	no	—
1581	C₂×C₄	—	40	1	no	—
1582	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1583	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1584	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1585	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1586	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1587	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	10	1	no	—
1593	C₈	—	10	1	no	—
1594	C₈	—	10	1	no	—
1595	C₈	—	10	1	no	—
1596	C₅	#61018	1	1	yes	characteristic, complemented, Sylow
1597	C₂²	—	2	1	no	—
1598	C₂²	—	2	1	no	—
1599	C₂²	—	2	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	4	1	no	—
1602	C₂²	—	4	1	no	—
1603	C₂²	—	10	1	no	—
1604	C₂²	—	10	1	no	—
1605	C₂²	—	10	1	no	—
1606	C₂²	—	10	1	no	—
1607	C₂²	—	10	1	no	—
1608	C₂²	—	10	1	no	—
1609	C₂²	—	20	1	no	—
1610	C₂²	—	20	1	no	—
1611	C₂²	—	20	1	no	—
1612	C₂²	—	80	2	no	—
1613	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1614	C₄	—	2	1	no	—
1615	C₄	—	2	1	no	—
1616	C₄	—	2	1	no	—
1617	C₄	—	2	1	no	—
1618	C₄	—	2	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	4	1	no	—
1621	C₄	—	4	1	no	—
1622	C₄	—	4	1	no	—
1623	C₄	—	4	1	no	—
1624	C₄	—	4	1	no	—
1625	C₄	—	4	1	no	—
1626	C₄	—	10	1	no	—
1627	C₄	—	10	1	no	—
1628	C₄	—	10	1	no	—
1629	C₄	—	10	1	no	—
1630	C₄	—	10	1	no	—
1631	C₄	—	10	1	no	—
1632	C₄	—	20	1	no	—
1633	C₄	—	20	1	no	—
1634	C₄	—	20	1	no	—
1635	C₄	—	20	1	no	—
1636	C₄	—	20	1	no	—
1637	C₄	—	20	1	no	—
1638	C₄	—	20	1	no	—
1639	C₄	#66285	1	1	yes	characteristic
1640	C₄	#66287	1	1	yes	characteristic
1641	C₂	—	4	1	no	—
1642	C₂	—	8	1	no	—
1643	C₂	—	20	1	no	—
1644	C₂	—	20	1	no	—
1645	C₂	—	40	1	no	—
1646	C₂	#10618264	1	1	yes	characteristic
1647	C₂	#10619109	1	1	yes	characteristic
1648	C₂	#10619112	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×#3258	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#65941	C₂²
hypercenter	#3258	D₅
hypocenter	C₅	#61018
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3258

Complements

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

N	H ≅ G/N	type
2. #10618411	C₂	semidirect
3. C₅×#3258	C₂	semidirect
4. #10615199	C₂	semidirect
5. #10615180	C₂	semidirect
6. #10612970	C₂	semidirect
7. #10612942	C₂	semidirect
8. #10612906	C₂	semidirect
9. #10612878	C₂	semidirect
10. #10612845	C₂	semidirect
11. #10612827	C₂	semidirect
12. #10612748	C₂	semidirect
13. #10612731	C₂	semidirect
14. #10612643	C₂	semidirect
15. #10612619	C₂	semidirect
17. #10612516	C₂	semidirect
18. #10612498	C₂	semidirect
19. #10612476	C₂	semidirect
21. #10612370	C₂	semidirect
22. #10612337	C₂	semidirect
23. #10612337	C₂	semidirect
24. #10612304	C₂	semidirect
25. #10612303	C₂	semidirect
26. #10612214	C₂	semidirect
27. #10612192	C₂	semidirect
28. #10612166	C₂	semidirect
29. #10612144	C₂	semidirect
30. #10610825	C₂	semidirect
31. #10610802	C₂	semidirect
33. C₅×#541	C₂²	semidirect
37. D₅×C₄⋊Q₈	C₂²	semidirect
47. #66022	C₂²	semidirect
62. #65956	C₂²	semidirect
63. #65956	C₂²	semidirect
70. #65906	C₂²	semidirect
71. #65906	C₂²	semidirect
76. #65852	C₂²	semidirect
77. C₅×#479	C₂²	semidirect
79. C₅×#477	C₂²	semidirect
80. C₅×#475	C₂²	semidirect
81. C₅×#470	C₂²	semidirect
83. C₅×#467	C₂²	semidirect
87. C₅×#462	C₂²	semidirect
89. C₅×#424	C₂²	semidirect
94. #65475	C₂²	semidirect
95. #65475	C₂²	semidirect
96. #65473	C₂²	semidirect
97. Q₁₆×Dic₅	C₂²	semidirect
106. #65426	C₂²	semidirect
109. M₁₆×Dic₅	C₂²	semidirect
110. #65405	C₂²	semidirect
113. C₂×#3947	C₂²	semidirect
114. #65383	C₂²	semidirect
115. #65380	C₂²	semidirect
116. #65379	C₂²	semidirect
119. #65352	C₂²	semidirect
122. #65341	C₂²	semidirect
123. #65341	C₂²	semidirect
124. #65340	C₂²	semidirect
125. #65340	C₂²	semidirect
130. #65320	C₂²	semidirect
133. #65311	C₂²	semidirect
134. #65310	C₂²	semidirect
135. #65309	C₂²	semidirect
138. #65288	C₂²	semidirect
142. #65177	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65165	C₂²	semidirect
146. #65162	C₂²	semidirect
149. #65156	C₂²	semidirect
151. #65145	C₂²	semidirect
152. #65145	C₂²	semidirect
153. #65142	C₂²	semidirect
155. #65140	C₂²	semidirect
156. #65139	C₂²	semidirect
157. #65138	C₂²	semidirect
164. #65129	C₂²	semidirect
165. #65129	C₂²	semidirect
168. #65124	C₂²	semidirect
169. #65124	C₂²	semidirect
170. #65118	C₂²	semidirect
174. #65104	C₂²	semidirect
177. #65103	C₂²	semidirect
180. #65097	C₂²	semidirect
181. #65097	C₂²	semidirect
184. #65086	C₂²	semidirect
185. #65086	C₂²	semidirect
186. #65086	C₂²	semidirect
187. #65086	C₂²	semidirect
190. #65079	C₂²	semidirect
191. #65079	C₂²	semidirect
192. #65078	C₂²	semidirect
193. #65078	C₂²	semidirect
484. #3258	D₅	semidirect
734. #541	C₂×D₅	semidirect
791. #479	C₂×D₅	semidirect
799. #477	C₂×D₅	semidirect
803. #475	C₂×D₅	semidirect
807. #470	C₂×D₅	semidirect
815. #467	C₂×D₅	semidirect
831. #462	C₂×D₅	semidirect
877. #424	C₂×D₅	semidirect
1596. C₅	#61018	semidirect

Maximal subgroups

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

subgroup	index
#10618453	2
#10618411	2
C₅×#3258	2
#10615199	2
#10615180	2
#10612970	2
#10612942	2
#10612906	2
#10612878	2
#10612845	2
#10612827	2
#10612748	2
#10612731	2
#10612643	2
#10612619	2
#10612547	2
#10612516	2
#10612498	2
#10612476	2
#10612399	2
#10612370	2
#10612337	2
#10612304	2
#10612303	2
#10612214	2
#10612192	2
#10612166	2
#10612144	2
#10610825	2
#10610802	2
#61018	5