Subgroups — #12996267

Order 1280.

1694 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618457	C₂	1	1	yes	maximal, characteristic
2	#10618421	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3258	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615185	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615177	C₂	1	1	yes	maximal, characteristic, complemented
6	#10612969	C₂	1	1	yes	maximal, characteristic, complemented
7	#10612965	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612909	C₂	1	1	yes	maximal, characteristic, complemented
9	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612856	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612834	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612771	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612761	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612650	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612647	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612560	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612554	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612509	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612484	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612402	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612382	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612350	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612346	C₂	1	1	yes	maximal, characteristic, complemented
24	#10612318	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612317	C₂	1	1	yes	maximal, characteristic, complemented
26	#10612217	C₂	1	1	yes	maximal, characteristic, complemented
27	#10612191	C₂	1	1	yes	maximal, characteristic, complemented
28	#10612173	C₂	1	1	yes	maximal, characteristic, complemented
29	#10612141	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610822	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×#541	C₂²	1	1	yes	characteristic, complemented
34	#66065	C₂²	1	1	yes	characteristic, complemented
35	#66064	C₂²	1	1	yes	characteristic
36	#66062	C₂²	1	1	yes	characteristic
37	#66061	C₂²	1	1	yes	characteristic
38	#66046	—	2	1	no	—
39	#66042	—	2	1	no	—
40	#66042	—	2	1	no	—
41	#66041	—	2	1	no	—
42	#66039	—	2	1	no	—
43	#66035	—	2	1	no	—
44	#66030	—	2	1	no	—
45	#66028	—	2	1	no	—
46	#66023	—	2	1	no	—
47	#66023	C₂²	1	1	yes	characteristic, complemented
48	D₅×#125	C₂²	1	1	yes	characteristic
49	C₅⋊#564	—	2	1	no	—
50	#66013	—	2	1	no	—
51	#66011	—	2	1	no	—
52	#66010	C₂²	1	1	yes	characteristic
53	#66005	C₂²	1	1	yes	characteristic
54	#65994	—	2	1	no	—
55	#65990	—	2	1	no	—
56	#65976	C₂²	1	1	yes	characteristic, complemented
57	#65973	C₂²	1	1	yes	characteristic
58	#65973	C₂²	1	1	yes	characteristic, complemented
59	#65972	—	2	1	no	—
60	#65969	C₂²	1	1	yes	characteristic
61	#65969	C₂²	1	1	yes	characteristic
62	#65965	C₂²	1	1	yes	characteristic
63	D₅×C₂²⋊Q₈	—	2	1	no	—
64	#65946	C₂²	1	1	yes	characteristic
65	#65945	C₂²	1	1	yes	characteristic
66	#65915	C₂²	1	1	yes	characteristic
67	#65913	C₂²	1	1	yes	characteristic
68	#65912	C₂²	1	1	yes	characteristic
69	#65908	C₂²	1	1	yes	characteristic
70	#65904	C₂²	1	1	yes	characteristic, complemented
71	#65903	C₂²	1	1	yes	characteristic, complemented
72	#65895	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
74	#65862	C₂²	1	1	yes	characteristic
75	#65857	C₂²	1	1	yes	characteristic
76	#65853	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	#65477	C₂²	1	1	yes	characteristic
91	#65477	C₂²	1	1	yes	characteristic
92	#65476	C₂²	1	1	yes	characteristic
93	#65476	C₂²	1	1	yes	characteristic
94	#65473	C₂²	1	1	yes	characteristic, complemented
95	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
96	#65471	C₂²	1	1	yes	characteristic, complemented
97	#65471	C₂²	1	1	yes	characteristic, complemented
98	#65463	C₂²	1	1	yes	characteristic
99	#65460	C₂²	1	1	yes	characteristic
100	#65458	C₂²	1	1	yes	characteristic
101	#65458	C₂²	1	1	yes	characteristic
102	#65455	C₂²	1	1	yes	characteristic
103	#65455	C₂²	1	1	yes	characteristic
104	#65453	C₂²	1	1	yes	characteristic
105	#65453	C₂²	1	1	yes	characteristic
106	#65422	C₂²	1	1	yes	characteristic
107	#65416	C₂²	1	1	yes	characteristic
108	#65416	C₂²	1	1	yes	characteristic, complemented
109	#65410	C₂²	1	1	yes	characteristic, complemented
110	#65402	C₂²	1	1	yes	characteristic
111	#65400	C₂²	1	1	yes	characteristic, complemented
112	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
113	C₂×#3950	C₂²	1	1	yes	characteristic, complemented
114	#65379	C₂²	1	1	yes	characteristic, complemented
115	#65372	C₂²	1	1	yes	characteristic
116	#65369	C₂²	1	1	yes	characteristic, complemented
117	#65367	C₂²	1	1	yes	characteristic, complemented
118	#65355	C₂²	1	1	yes	characteristic
119	#65352	C₂²	1	1	yes	characteristic, complemented
120	#65345	C₂²	1	1	yes	characteristic
121	#65344	C₂²	1	1	yes	characteristic
122	#65336	C₂²	1	1	yes	characteristic
123	#65336	C₂²	1	1	yes	characteristic
124	#65334	C₂²	1	1	yes	characteristic, complemented
125	#65333	C₂²	1	1	yes	characteristic, complemented
126	#65333	C₂²	1	1	yes	characteristic, complemented
127	#65332	C₂²	1	1	yes	characteristic, complemented
128	#65324	C₂²	1	1	yes	characteristic
129	#65322	C₂²	1	1	yes	characteristic
130	#65319	C₂²	1	1	yes	characteristic, complemented
131	C₄×#689	C₂²	1	1	yes	characteristic, complemented
132	#65315	C₂²	1	1	yes	characteristic
133	C₄×#688	C₂²	1	1	yes	characteristic
134	#65311	C₂²	1	1	yes	characteristic, complemented
135	#65310	C₂²	1	1	yes	characteristic, complemented
136	#65298	C₂²	1	1	yes	characteristic
137	#65296	C₂²	1	1	yes	characteristic
138	#65289	C₂²	1	1	yes	characteristic, complemented
139	#65180	C₂²	1	1	yes	characteristic
140	#65179	C₂²	1	1	yes	characteristic
141	#65173	C₂²	1	1	yes	characteristic
142	#65173	C₂²	1	1	yes	characteristic, complemented
143	D₅×#107	C₂²	1	1	yes	characteristic
144	D₅×#107	C₂²	1	1	yes	characteristic, complemented
145	#65165	C₂²	1	1	yes	characteristic, complemented
146	#65163	C₂²	1	1	yes	characteristic, complemented
147	#65160	C₂²	1	1	yes	characteristic
148	#65160	C₂²	1	1	yes	characteristic
149	#65156	C₂²	1	1	yes	characteristic, complemented
150	#65151	C₂²	1	1	yes	characteristic
151	#65150	C₂²	1	1	yes	characteristic, complemented
152	D₅×#106	C₂²	1	1	yes	characteristic
153	#65145	C₂²	1	1	yes	characteristic, complemented
154	#65145	C₂²	1	1	yes	characteristic, complemented
155	#65139	C₂²	1	1	yes	characteristic, complemented
156	#65139	C₂²	1	1	yes	characteristic, complemented
157	#65136	C₂²	1	1	yes	characteristic
158	#65136	C₂²	1	1	yes	characteristic
159	#65135	C₂²	1	1	yes	characteristic
160	#65135	C₂²	1	1	yes	characteristic
161	#65129	C₂²	1	1	yes	characteristic, complemented
162	#65128	C₂²	1	1	yes	characteristic, complemented
163	#65125	C₂²	1	1	yes	characteristic
164	#65124	C₂²	1	1	yes	characteristic
165	#65123	C₂²	1	1	yes	characteristic
166	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
167	#65120	C₂²	1	1	yes	characteristic, complemented
168	#65118	C₂²	1	1	yes	characteristic, complemented
169	#65118	C₂²	1	1	yes	characteristic, complemented
170	#65117	C₂²	1	1	yes	characteristic, complemented
171	#65106	C₂²	1	1	yes	characteristic
172	#65106	C₂²	1	1	yes	characteristic
173	#65106	C₂²	1	1	yes	characteristic
174	#65105	C₂²	1	1	yes	characteristic, complemented
175	#65102	C₂²	1	1	yes	characteristic
176	#65102	C₂²	1	1	yes	characteristic
177	#65102	C₂²	1	1	yes	characteristic, complemented
178	#65098	C₂²	1	1	yes	characteristic
179	#65098	C₂²	1	1	yes	characteristic
180	#65098	C₂²	1	1	yes	characteristic
181	#65098	C₂²	1	1	yes	characteristic, complemented
182	#65094	C₂²	1	1	yes	characteristic
183	#65094	C₂²	1	1	yes	characteristic, complemented
184	#65093	C₂²	1	1	yes	characteristic
185	#65092	C₂²	1	1	yes	characteristic
186	#65086	C₂²	1	1	yes	characteristic, complemented
187	#65086	C₂²	1	1	yes	characteristic, complemented
188	#65085	C₂²	1	1	yes	characteristic, complemented
189	#65083	C₂²	1	1	yes	characteristic, complemented
190	#65083	C₂²	1	1	yes	characteristic, complemented
191	#65083	C₂²	1	1	yes	characteristic, complemented
192	#65083	C₂²	1	1	yes	characteristic, complemented
193	#65080	C₂²	1	1	yes	characteristic, complemented
194	#65077	C₂²	1	1	yes	characteristic
195	#65073	C₂²	1	1	yes	characteristic
196	#65063	C₂²	1	1	yes	characteristic
197	D₅×#102	C₂²	1	1	yes	characteristic
198	D₅×#102	C₂²	1	1	yes	characteristic
199	#65057	C₂²	1	1	yes	characteristic
200	#65055	C₂²	1	1	yes	characteristic
201	#65054	C₂²	1	1	yes	characteristic
202	#65052	C₂²	1	1	yes	characteristic
203	#62165	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×#711	—	2	1	no	—
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅	—	2	1	no	—
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
215	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
218	C₅×#126	—	2	1	no	—
219	C₅×#126	—	2	1	no	—
220	C₅×#126	—	2	1	no	—
221	C₅×#125	—	2	1	no	—
222	C₅×#125	—	2	1	no	—
223	C₅×#125	C₂³	1	1	yes	characteristic
224	C₅×#124	—	2	1	no	—
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#123	—	2	1	no	—
227	C₅×C₂²⋊Q₈	—	2	1	no	—
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₅×#121	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×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₅×#117	C₂³	1	1	yes	characteristic
237	#4092	—	2	1	no	—
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	#4092	C₂³	1	1	yes	characteristic
244	#4092	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	#4090	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	#4084	—	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	C₂³	1	1	yes	characteristic
261	#4075	—	2	1	no	—
262	C₄×C₂²⋊D₅	—	2	1	no	—
263	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
264	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
265	#4072	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
268	#4070	—	2	1	no	—
269	C₂×#676	C₂³	1	1	yes	characteristic
270	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
271	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
272	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
273	#4044	—	2	1	no	—
274	#4044	—	2	1	no	—
275	#4044	—	2	1	no	—
276	#4044	D₄	1	1	yes	characteristic
277	#4043	—	2	1	no	—
278	#4043	—	2	1	no	—
279	#4043	—	2	1	no	—
280	#4043	—	2	1	no	—
281	#4043	C₂³	1	1	yes	characteristic
282	#4043	C₂³	1	1	yes	characteristic
283	#4042	—	2	1	no	—
284	#4042	—	2	1	no	—
285	#4042	—	2	1	no	—
286	#4042	—	2	1	no	—
287	#4042	—	2	1	no	—
288	#4042	—	2	1	no	—
289	#4042	D₄	1	1	yes	characteristic
290	#4040	—	2	1	no	—
291	#4040	—	2	1	no	—
292	#4040	D₄	1	1	yes	characteristic
293	#4039	—	2	1	no	—
294	#4039	—	2	1	no	—
295	#4039	C₂³	1	1	yes	characteristic
296	#4039	C₂³	1	1	yes	characteristic
297	#4038	—	2	1	no	—
298	#4038	—	2	1	no	—
299	#4038	—	2	1	no	—
300	#4038	—	2	1	no	—
301	#4038	C₂³	1	1	yes	characteristic
302	D₅×C₄⋊C₄	—	2	1	no	—
303	D₅×C₄⋊C₄	—	2	1	no	—
304	D₅×C₄⋊C₄	—	2	1	no	—
305	D₅×C₄⋊C₄	—	2	1	no	—
306	D₅×C₄⋊C₄	—	2	1	no	—
307	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
308	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
309	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
310	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
311	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
312	#4036	—	2	1	no	—
313	#4036	—	2	1	no	—
314	#4036	—	2	1	no	—
315	#4036	—	2	1	no	—
316	#4036	—	2	1	no	—
317	#4036	—	2	1	no	—
318	#4036	—	2	1	no	—
319	#4036	C₂³	1	1	yes	characteristic
320	#4036	C₂³	1	1	yes	characteristic
321	#4036	C₂³	1	1	yes	characteristic
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	#4035	—	2	1	no	—
328	#4035	—	2	1	no	—
329	#4035	—	2	1	no	—
330	#4035	—	2	1	no	—
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	D₄	1	1	yes	characteristic
334	#4034	—	2	1	no	—
335	#4034	—	2	1	no	—
336	#4034	—	2	1	no	—
337	#4034	C₂³	1	1	yes	characteristic
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4033	—	2	1	no	—
341	#4032	—	2	1	no	—
342	#4031	—	2	1	no	—
343	#4031	D₄	1	1	yes	characteristic
344	#4030	—	2	1	no	—
345	#4030	—	2	1	no	—
346	#4030	D₄	1	1	yes	characteristic
347	#4029	—	2	1	no	—
348	#4029	—	2	1	no	—
349	#4029	—	2	1	no	—
350	#4029	—	2	1	no	—
351	#4029	—	2	1	no	—
352	#4029	—	2	1	no	—
353	#4029	D₄	1	1	yes	characteristic
354	#4028	—	2	1	no	—
355	#4027	—	2	1	no	—
356	#4027	—	2	1	no	—
357	#4027	—	2	1	no	—
358	#4027	—	2	1	no	—
359	#4027	—	2	1	no	—
360	D₅×C₂²⋊C₄	—	2	1	no	—
361	D₅×C₂²⋊C₄	—	2	1	no	—
362	D₅×C₂²⋊C₄	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4025	—	2	1	no	—
366	#4025	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	D₄	1	1	yes	characteristic
369	#4024	—	2	1	no	—
370	#4024	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4023	—	2	1	no	—
376	#4023	—	2	1	no	—
377	#4022	—	2	1	no	—
378	C₄×D₂₀	—	2	1	no	—
379	C₄×D₂₀	—	2	1	no	—
380	C₄×D₂₀	C₂³	1	1	yes	characteristic
381	C₄×D₂₀	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	#4018	—	2	1	no	—
384	#4018	—	2	1	no	—
385	#4018	—	2	1	no	—
386	#4018	C₂³	1	1	yes	characteristic
387	C₄²×D₅	C₂³	1	1	yes	characteristic
388	#4016	—	2	1	no	—
389	#4016	—	2	1	no	—
390	#4016	C₂³	1	1	yes	characteristic
391	#4016	C₂³	1	1	yes	characteristic
392	#4015	—	2	1	no	—
393	#4015	C₂³	1	1	yes	characteristic
394	#4015	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₀	—	2	1	no	—
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×#106	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	C₂²⋊#168	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3952	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3950	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3949	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	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3939	C₂³	1	1	yes	characteristic
468	#3939	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#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	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3563	—	5	1	no	—
480	#3520	—	5	1	no	—
481	#3386	—	5	1	no	—
482	#3386	—	5	1	no	—
483	#3377	—	5	1	no	—
484	#3377	—	5	1	no	—
485	#3344	—	5	1	no	—
486	#3344	—	5	1	no	—
487	#3343	—	5	1	no	—
488	#3343	—	5	1	no	—
489	#3338	—	5	1	no	—
490	#3338	—	5	1	no	—
491	#3315	—	5	1	no	—
492	#3315	—	5	1	no	—
493	#3314	—	5	1	no	—
494	#3314	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3296	—	5	1	no	—
497	#3258	—	5	1	no	—
498	#3258	D₅	1	1	yes	characteristic, complemented
499	#3249	—	5	1	no	—
500	#3243	—	5	1	no	—
501	#3243	—	5	1	no	—
502	#3236	—	5	1	no	—
503	#3120	—	5	1	no	—
504	#3120	—	5	1	no	—
505	#3110	—	5	1	no	—
506	#3083	—	5	1	no	—
507	#3083	—	5	1	no	—
508	C₂×#478	—	5	1	no	—
509	#2992	—	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	—	2	1	no	—
526	C₂²×Dic₅	—	2	1	no	—
527	#713	—	2	2	no	—
528	#713	—	4	1	no	—
529	Q₈×D₅	—	8	2	no	—
530	#711	—	8	2	no	—
531	D₄×D₅	—	2	2	no	—
532	D₄×D₅	—	4	1	no	—
533	#709	—	2	2	no	—
534	#709	—	4	1	no	—
535	C₂×D₂₀	—	2	1	no	—
536	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
537	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
538	C₂×C₄×D₅	—	2	1	no	—
539	C₂×C₄×D₅	—	2	1	no	—
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	—	2	1	no	—
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	8	2	no	—
550	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
551	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
553	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
554	C₂×Dic₁₀	—	2	1	no	—
555	C₂×Dic₁₀	—	2	1	no	—
556	C₂×Dic₁₀	—	2	1	no	—
557	C₂×Dic₁₀	—	2	1	no	—
558	C₂×Dic₁₀	—	2	1	no	—
559	C₂×Dic₁₀	C₂×D₄	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	C₂×D₄	1	1	yes	characteristic
608	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
609	#689	—	4	1	no	—
610	#689	—	4	1	no	—
611	#688	—	2	2	no	—
612	#688	—	2	2	no	—
613	#685	—	2	1	no	—
614	#685	—	2	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	C₂×D₄	1	1	yes	characteristic
626	#685	C₂×D₄	1	1	yes	characteristic
627	#685	C₂×D₄	1	1	yes	characteristic
628	#685	C₂×D₄	1	1	yes	characteristic
629	#685	C₂×D₄	1	1	yes	characteristic
630	#685	C₂×D₄	1	1	yes	characteristic
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
633	C₄⋊Dic₅	—	2	1	no	—
634	C₄⋊Dic₅	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
647	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
648	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
649	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	#683	—	2	1	no	—
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	—	2	1	no	—
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	#683	C₂×D₄	1	1	yes	characteristic
681	#683	C₂×D₄	1	1	yes	characteristic
682	#683	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
695	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	#676	—	4	1	no	—
701	C₈×D₅	—	4	1	no	—
702	C₈×D₅	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	#564	—	10	1	no	—
705	#563	—	10	1	no	—
706	#557	—	5	1	no	—
707	#557	—	5	1	no	—
708	#556	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#552	—	5	1	no	—
714	#552	—	5	1	no	—
715	#552	—	5	1	no	—
716	#552	—	5	1	no	—
717	#552	—	10	1	no	—
718	#552	—	10	1	no	—
719	#552	—	10	1	no	—
720	#551	—	10	1	no	—
721	#551	—	10	1	no	—
722	D₄×Q₈	—	5	1	no	—
723	#548	—	10	1	no	—
724	#547	—	5	1	no	—
725	#547	—	5	1	no	—
726	#546	—	5	1	no	—
727	#546	—	5	1	no	—
728	#544	—	5	1	no	—
729	#544	—	5	1	no	—
730	#544	—	10	1	no	—
731	#542	—	5	1	no	—
732	#542	C₂×D₅	1	1	yes	characteristic
733	#541	—	5	1	no	—
734	#541	—	10	1	no	—
735	#541	—	10	1	no	—
736	#541	C₂×D₅	1	1	yes	characteristic, complemented
737	#539	—	10	1	no	—
738	#539	—	10	1	no	—
739	#539	—	10	1	no	—
740	#533	—	5	1	no	—
741	#533	—	5	1	no	—
742	#529	—	5	1	no	—
743	C₂×#125	—	5	1	no	—
744	#525	—	10	1	no	—
745	C₂×C₂²⋊Q₈	—	10	1	no	—
746	#520	—	5	1	no	—
747	#520	—	5	1	no	—
748	C₂×C₄×D₄	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#501	—	5	1	no	—
752	#501	—	5	1	no	—
753	#500	—	5	1	no	—
754	#500	—	5	1	no	—
755	#491	—	5	1	no	—
756	#491	—	5	1	no	—
757	#489	—	5	1	no	—
758	#489	—	5	1	no	—
759	#488	—	5	1	no	—
760	#488	—	5	1	no	—
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#484	—	5	1	no	—
764	#484	—	5	1	no	—
765	#484	—	5	1	no	—
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#484	—	5	1	no	—
769	#484	—	5	1	no	—
770	#484	—	5	1	no	—
771	#483	—	5	1	no	—
772	#483	—	5	1	no	—
773	#483	—	5	1	no	—
774	#483	—	5	1	no	—
775	#482	—	5	1	no	—
776	#482	—	5	1	no	—
777	#480	—	5	1	no	—
778	#480	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	C₂×D₅	1	1	yes	characteristic, complemented
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	C₂×D₅	1	1	yes	characteristic
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#477	—	5	1	no	—
801	#477	—	5	1	no	—
802	#477	C₂×D₅	1	1	yes	characteristic, complemented
803	#475	—	5	1	no	—
804	#475	C₂×D₅	1	1	yes	characteristic, complemented
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#470	—	5	1	no	—
810	#470	C₂×D₅	1	1	yes	characteristic, complemented
811	#468	—	5	1	no	—
812	#468	C₂×D₅	1	1	yes	characteristic
813	#467	—	5	1	no	—
814	#467	—	5	1	no	—
815	#467	—	5	1	no	—
816	#467	—	5	1	no	—
817	#467	—	5	1	no	—
818	#467	C₂×D₅	1	1	yes	characteristic, complemented
819	#465	—	5	1	no	—
820	#465	C₂×D₅	1	1	yes	characteristic
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	C₂×D₅	1	1	yes	characteristic
824	#464	C₂×D₅	1	1	yes	characteristic
825	#462	—	5	1	no	—
826	#462	—	5	1	no	—
827	#462	—	5	1	no	—
828	#462	C₂×D₅	1	1	yes	characteristic, complemented
829	#461	—	5	1	no	—
830	#461	C₂×D₅	1	1	yes	characteristic
831	#452	—	5	1	no	—
832	#452	—	5	1	no	—
833	#452	—	5	1	no	—
834	#452	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#441	—	5	1	no	—
840	#441	—	5	1	no	—
841	#440	—	5	1	no	—
842	#440	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	C₄×Q₁₆	—	5	1	no	—
848	C₄×Q₁₆	—	5	1	no	—
849	C₄×SD₁₆	—	5	1	no	—
850	C₄×SD₁₆	—	5	1	no	—
851	#435	—	5	1	no	—
852	#435	—	5	1	no	—
853	#435	—	5	1	no	—
854	#435	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	—	5	1	no	—
857	#433	—	5	1	no	—
858	#433	—	5	1	no	—
859	#432	—	5	1	no	—
860	#428	—	5	1	no	—
861	#428	—	5	1	no	—
862	C₂×#107	—	5	1	no	—
863	C₂×#107	—	5	1	no	—
864	C₂×#107	—	5	1	no	—
865	C₂×#106	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	C₂×D₅	1	1	yes	characteristic, complemented
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#417	—	5	1	no	—
870	#417	—	5	1	no	—
871	#416	—	5	1	no	—
872	#416	—	5	1	no	—
873	C₂×#102	—	5	1	no	—
874	C₂×#102	—	5	1	no	—
875	C₂³×C₅	—	2	1	no	—
876	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
877	C₂²×D₅	—	2	1	no	—
878	C₂²×D₅	—	4	2	no	—
879	C₂²×D₅	—	4	2	no	—
880	C₂²×D₅	—	8	1	no	—
881	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
882	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
883	C₅×Q₈	—	2	1	no	—
884	C₅×Q₈	—	2	1	no	—
885	C₅×Q₈	—	2	1	no	—
886	C₅×Q₈	—	2	1	no	—
887	C₅×Q₈	—	2	1	no	—
888	C₅×Q₈	—	2	1	no	—
889	C₅×Q₈	—	8	1	no	—
890	C₅×D₄	—	2	1	no	—
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	8	1	no	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	2	1	no	—
895	C₂×C₄×C₅	—	2	1	no	—
896	C₂×C₄×C₅	—	2	1	no	—
897	C₂×C₄×C₅	—	2	1	no	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	8	1	no	—
903	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
904	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
905	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
906	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
909	C₂²⋊D₅	—	2	2	no	—
910	C₂²⋊D₅	—	4	1	no	—
911	C₂²⋊D₅	—	4	2	no	—
912	C₂²⋊D₅	—	4	2	no	—
913	C₂²⋊D₅	—	8	1	no	—
914	C₂×Dic₅	—	2	1	no	—
915	C₂×Dic₅	—	2	1	no	—
916	C₂×Dic₅	—	2	1	no	—
917	C₂×Dic₅	—	2	1	no	—
918	C₂×Dic₅	—	2	1	no	—
919	C₂×Dic₅	—	2	1	no	—
920	C₂×Dic₅	—	2	1	no	—
921	C₂×Dic₅	—	4	2	no	—
922	C₂×Dic₅	—	8	1	no	—
923	C₂×Dic₅	—	8	1	no	—
924	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
930	D₂₀	—	2	2	no	—
931	D₂₀	—	2	1	no	—
932	D₂₀	—	4	2	no	—
933	D₂₀	2₋¹⁺⁴	1	2	yes	—
934	C₄×D₅	—	2	2	no	—
935	C₄×D₅	—	2	1	no	—
936	C₄×D₅	—	2	1	no	—
937	C₄×D₅	—	2	1	no	—
938	C₄×D₅	—	2	1	no	—
939	C₄×D₅	—	4	1	no	—
940	C₄×D₅	—	4	2	no	—
941	C₄×D₅	—	4	2	no	—
942	C₄×D₅	—	4	2	no	—
943	C₄×D₅	—	4	2	no	—
944	C₄×D₅	—	8	1	no	—
945	C₄×D₅	—	8	1	no	—
946	C₄×D₅	—	8	1	no	—
947	C₄×D₅	—	8	1	no	—
948	C₄×D₅	—	8	1	no	—
949	C₄×D₅	—	8	1	no	—
950	C₄×D₅	—	8	1	no	—
951	Dic₁₀	—	2	1	no	—
952	Dic₁₀	—	2	1	no	—
953	Dic₁₀	—	4	1	no	—
954	Dic₁₀	—	4	2	no	—
955	Dic₁₀	—	8	1	no	—
956	Dic₁₀	—	8	1	no	—
957	Dic₁₀	—	8	1	no	—
958	Dic₁₀	—	8	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	C₅×C₈	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	#168	—	2	1	no	—
967	C₂×#41	—	5	1	no	—
968	C₂×#41	—	5	1	no	—
969	C₂×#41	—	10	1	no	—
970	C₂²×Q₈	—	10	1	no	—
971	C₂²×D₄	—	5	1	no	—
972	C₂³×C₄	—	10	1	no	—
973	C₂×Q₁₆	—	5	1	no	—
974	C₂×Q₁₆	—	5	1	no	—
975	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
976	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
977	C₂×SD₁₆	—	5	1	no	—
978	C₂×SD₁₆	—	5	1	no	—
979	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
980	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
981	C₂×M₁₆	—	5	1	no	—
982	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
983	C₂²×C₈	—	5	1	no	—
984	C₂²×C₈	—	5	1	no	—
985	C₂²×C₈	—	5	1	no	—
986	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
987	C₄⋊Q₈	—	5	1	no	—
988	C₄⋊Q₈	—	5	1	no	—
989	C₄⋊Q₈	—	5	1	no	—
990	C₄⋊Q₈	—	5	1	no	—
991	C₄⋊Q₈	—	5	1	no	—
992	C₄⋊Q₈	—	5	1	no	—
993	C₄⋊Q₈	—	10	1	no	—
994	C₄⋊Q₈	—	10	1	no	—
995	C₄⋊Q₈	—	10	1	no	—
996	C₄⋊Q₈	—	10	1	no	—
997	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
998	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
999	#126	—	2	1	no	—
1000	#126	—	2	1	no	—
1001	#126	—	2	1	no	—
1002	#126	—	5	1	no	—
1003	#126	—	5	1	no	—
1004	#126	—	10	1	no	—
1005	#126	—	10	1	no	—
1006	#126	—	10	1	no	—
1007	#126	—	10	1	no	—
1008	#126	—	10	1	no	—
1009	#126	—	10	1	no	—
1010	#126	—	10	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#125	—	2	1	no	—
1014	#125	—	2	1	no	—
1015	#125	—	5	1	no	—
1016	#125	—	5	1	no	—
1017	#125	—	5	1	no	—
1018	#125	—	5	1	no	—
1019	#125	—	5	1	no	—
1020	#125	—	5	1	no	—
1021	#125	—	10	1	no	—
1022	#125	—	10	1	no	—
1023	#125	—	10	1	no	—
1024	#125	—	10	1	no	—
1025	#125	—	10	1	no	—
1026	#125	—	10	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	—	10	1	no	—
1033	#125	—	10	1	no	—
1034	#125	—	10	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	C₂²×D₅	1	1	yes	characteristic
1042	#124	—	2	1	no	—
1043	#124	—	5	1	no	—
1044	#124	—	5	1	no	—
1045	#124	—	10	1	no	—
1046	#124	C₂²×D₅	1	1	yes	characteristic
1047	#123	—	2	1	no	—
1048	#123	—	5	1	no	—
1049	#123	—	5	1	no	—
1050	#123	—	10	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	C₂²⋊Q₈	—	2	1	no	—
1062	C₂²⋊Q₈	—	5	1	no	—
1063	C₂²⋊Q₈	—	5	1	no	—
1064	C₂²⋊Q₈	—	5	1	no	—
1065	C₂²⋊Q₈	—	5	1	no	—
1066	C₂²⋊Q₈	—	5	1	no	—
1067	C₂²⋊Q₈	—	5	1	no	—
1068	C₂²⋊Q₈	—	5	1	no	—
1069	C₂²⋊Q₈	—	5	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	—	10	1	no	—
1072	C₂²⋊Q₈	—	10	1	no	—
1073	C₂²⋊Q₈	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	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	C₂²×D₅	1	1	yes	characteristic
1091	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1092	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1093	#121	—	5	1	no	—
1094	#121	—	5	1	no	—
1095	#121	—	10	1	no	—
1096	#121	—	10	1	no	—
1097	#121	—	10	1	no	—
1098	#121	C₂²×D₅	1	1	yes	characteristic
1099	#120	—	10	1	no	—
1100	#120	—	10	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	5	1	no	—
1103	C₄×Q₈	—	5	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	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1114	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1115	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1116	C₄×D₄	—	5	1	no	—
1117	C₄×D₄	—	5	1	no	—
1118	C₄×D₄	—	5	1	no	—
1119	C₄×D₄	—	5	1	no	—
1120	C₄×D₄	—	5	1	no	—
1121	C₄×D₄	—	5	1	no	—
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	10	1	no	—
1125	C₄×D₄	—	10	1	no	—
1126	C₄×D₄	—	10	1	no	—
1127	C₄×D₄	—	10	1	no	—
1128	C₄×D₄	—	10	1	no	—
1129	C₄×D₄	—	10	1	no	—
1130	C₄×D₄	—	10	1	no	—
1131	C₄×D₄	—	10	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1135	#117	—	5	1	no	—
1136	#117	—	5	1	no	—
1137	#117	—	5	1	no	—
1138	#117	—	10	1	no	—
1139	#117	—	10	1	no	—
1140	#117	—	10	1	no	—
1141	#117	—	10	1	no	—
1142	#117	—	10	1	no	—
1143	#117	—	10	1	no	—
1144	#117	—	10	1	no	—
1145	#117	—	10	1	no	—
1146	#117	—	10	1	no	—
1147	#117	C₂²×D₅	1	1	yes	characteristic
1148	C₂×C₄⋊C₄	—	5	1	no	—
1149	C₂×C₄⋊C₄	—	5	1	no	—
1150	C₂×C₄⋊C₄	—	5	1	no	—
1151	C₂×C₄⋊C₄	—	5	1	no	—
1152	C₂×C₄⋊C₄	—	5	1	no	—
1153	C₂×C₄⋊C₄	—	5	1	no	—
1154	C₂×C₄⋊C₄	—	5	1	no	—
1155	C₂×C₄⋊C₄	—	10	1	no	—
1156	C₂×C₄⋊C₄	—	10	1	no	—
1157	C₂×C₄⋊C₄	—	10	1	no	—
1158	C₂×C₄⋊C₄	—	10	1	no	—
1159	C₂×C₄⋊C₄	—	10	1	no	—
1160	C₂×C₂²⋊C₄	—	10	1	no	—
1161	C₂×C₂²⋊C₄	—	10	1	no	—
1162	C₂×C₂²⋊C₄	—	10	1	no	—
1163	C₂×C₄²	—	5	1	no	—
1164	#107	—	5	1	no	—
1165	#107	—	5	1	no	—
1166	#107	—	5	1	no	—
1167	#107	—	5	1	no	—
1168	#107	—	5	1	no	—
1169	#107	—	5	1	no	—
1170	#107	—	5	1	no	—
1171	#107	—	5	1	no	—
1172	#107	—	5	1	no	—
1173	#107	—	5	1	no	—
1174	#107	—	5	1	no	—
1175	#107	—	5	1	no	—
1176	#107	—	5	1	no	—
1177	#107	—	5	1	no	—
1178	#107	C₂²×D₅	1	1	yes	characteristic
1179	#107	C₂²×D₅	1	1	yes	characteristic
1180	#106	—	5	1	no	—
1181	#106	—	5	1	no	—
1182	#106	—	5	1	no	—
1183	#106	—	5	1	no	—
1184	#106	—	5	1	no	—
1185	#106	—	5	1	no	—
1186	#106	C₂²×D₅	1	1	yes	characteristic
1187	#106	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	—	5	1	no	—
1192	C₄⋊C₈	—	5	1	no	—
1193	C₄⋊C₈	—	5	1	no	—
1194	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1195	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1196	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1197	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1198	#103	—	5	1	no	—
1199	#103	—	5	1	no	—
1200	#103	—	5	1	no	—
1201	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1213	#103	C₂²×D₅	1	1	yes	characteristic
1214	#103	C₂²×D₅	1	1	yes	characteristic
1215	#103	C₂²×D₅	1	1	yes	characteristic
1216	#103	C₂²×D₅	1	1	yes	characteristic
1217	#103	C₂²×D₅	1	1	yes	characteristic
1218	#102	—	5	1	no	—
1219	#102	—	5	1	no	—
1220	#102	—	5	1	no	—
1221	#102	—	5	1	no	—
1222	#102	—	5	1	no	—
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	C₂²×D₅	1	1	yes	characteristic
1229	#102	C₂²×D₅	1	1	yes	characteristic
1230	C₂²⋊C₈	—	5	1	no	—
1231	C₂²⋊C₈	—	5	1	no	—
1232	C₂²⋊C₈	—	5	1	no	—
1233	C₂²⋊C₈	—	5	1	no	—
1234	C₂²⋊C₈	—	5	1	no	—
1235	C₂²⋊C₈	—	5	1	no	—
1236	#97	—	5	1	no	—
1237	#97	—	5	1	no	—
1238	#97	—	5	1	no	—
1239	#97	—	5	1	no	—
1240	C₄×C₈	—	5	1	no	—
1241	C₄×C₈	—	5	1	no	—
1242	C₂²×C₅	—	2	1	no	—
1243	C₂²×C₅	—	2	1	no	—
1244	C₂²×C₅	—	2	1	no	—
1245	C₂²×C₅	—	4	1	no	—
1246	C₂²×C₅	—	4	1	no	—
1247	C₂²×C₅	—	4	1	no	—
1248	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1249	C₂×D₅	—	2	1	no	—
1250	C₂×D₅	—	2	1	no	—
1251	C₂×D₅	—	2	1	no	—
1252	C₂×D₅	—	2	1	no	—
1253	C₂×D₅	—	2	2	no	—
1254	C₂×D₅	—	2	1	no	—
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	—	4	1	no	—
1257	C₂×D₅	—	8	4	no	—
1258	C₂×D₅	#578	1	2	yes	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	1	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	2	1	no	—
1264	C₄×C₅	—	4	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	—	4	1	no	—
1269	C₄×C₅	—	4	1	no	—
1270	C₄×C₅	—	4	1	no	—
1271	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1272	C₄×C₅	#585	1	1	yes	characteristic
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	1	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	2	1	no	—
1278	Dic₅	—	2	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	—	4	1	no	—
1284	Dic₅	—	4	1	no	—
1285	Dic₅	—	4	1	no	—
1286	C₂⁴	—	10	1	no	—
1287	#41	—	10	2	no	—
1288	#41	—	10	2	no	—
1289	#41	—	20	1	no	—
1290	#41	—	20	1	no	—
1291	#41	—	40	2	no	—
1292	C₂×Q₈	—	2	1	no	—
1293	C₂×Q₈	—	5	1	no	—
1294	C₂×Q₈	—	5	1	no	—
1295	C₂×Q₈	—	10	1	no	—
1296	C₂×Q₈	—	10	1	no	—
1297	C₂×Q₈	—	10	1	no	—
1298	C₂×Q₈	—	10	1	no	—
1299	C₂×Q₈	—	10	1	no	—
1300	C₂×Q₈	—	40	2	no	—
1301	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1302	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1303	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	5	1	no	—
1306	C₂×D₄	—	5	1	no	—
1307	C₂×D₄	—	5	1	no	—
1308	C₂×D₄	—	5	1	no	—
1309	C₂×D₄	—	10	1	no	—
1310	C₂×D₄	—	10	1	no	—
1311	C₂×D₄	—	10	2	no	—
1312	C₂×D₄	—	10	1	no	—
1313	C₂×D₄	—	10	1	no	—
1314	C₂×D₄	—	20	1	no	—
1315	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	5	1	no	—
1318	C₂²×C₄	—	5	1	no	—
1319	C₂²×C₄	—	5	1	no	—
1320	C₂²×C₄	—	5	1	no	—
1321	C₂²×C₄	—	10	1	no	—
1322	C₂²×C₄	—	10	1	no	—
1323	C₂²×C₄	—	10	1	no	—
1324	C₂²×C₄	—	10	1	no	—
1325	C₂²×C₄	—	10	1	no	—
1326	C₂²×C₄	—	10	1	no	—
1327	C₂²×C₄	—	10	1	no	—
1328	C₂²×C₄	—	10	1	no	—
1329	C₂²×C₄	—	10	1	no	—
1330	C₂²×C₄	—	10	1	no	—
1331	C₂²×C₄	—	10	1	no	—
1332	C₂²×C₄	—	10	1	no	—
1333	C₂²×C₄	—	10	1	no	—
1334	C₂²×C₄	—	10	1	no	—
1335	C₂²×C₄	—	40	2	no	—
1336	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1337	Q₁₆	—	4	1	no	—
1338	Q₁₆	—	4	1	no	—
1339	Q₁₆	—	20	1	no	—
1340	Q₁₆	—	20	1	no	—
1341	SD₁₆	—	4	1	no	—
1342	SD₁₆	—	4	1	no	—
1343	SD₁₆	—	10	2	no	—
1344	SD₁₆	—	10	2	no	—
1345	M₁₆	—	4	1	no	—
1346	M₁₆	—	20	1	no	—
1347	C₂×C₈	—	4	1	no	—
1348	C₂×C₈	—	5	1	no	—
1349	C₂×C₈	—	5	1	no	—
1350	C₂×C₈	—	5	1	no	—
1351	C₂×C₈	—	5	1	no	—
1352	C₂×C₈	—	20	1	no	—
1353	C₂×C₈	—	20	1	no	—
1354	C₂×C₈	—	20	1	no	—
1355	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	5	1	no	—
1383	C₄⋊C₄	—	5	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1423	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
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	—	5	1	no	—
1436	C₂²⋊C₄	—	5	1	no	—
1437	C₂²⋊C₄	—	5	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	—	5	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	D₄×D₅	1	1	yes	characteristic
1461	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1462	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	5	1	no	—
1466	C₄²	—	5	1	no	—
1467	C₄²	—	5	1	no	—
1468	C₄²	—	5	1	no	—
1469	C₄²	—	10	1	no	—
1470	C₄²	—	10	1	no	—
1471	C₄²	—	10	1	no	—
1472	C₄²	—	10	1	no	—
1473	C₄²	—	10	1	no	—
1474	C₄²	—	10	1	no	—
1475	C₄²	—	10	1	no	—
1476	C₄²	—	10	1	no	—
1477	C₄²	—	10	1	no	—
1478	C₄²	C₂³×D₅	1	1	yes	characteristic
1479	C₄²	C₂³×D₅	1	1	yes	characteristic
1480	C₂×C₅	—	4	1	no	—
1481	C₂×C₅	—	8	1	no	—
1482	C₂×C₅	#3489	1	1	yes	characteristic
1483	C₂×C₅	C₂×#578	1	1	yes	characteristic
1484	C₂×C₅	#3585	1	1	yes	characteristic
1485	D₅	—	2	2	no	—
1486	D₅	—	4	1	no	—
1487	D₅	—	4	2	no	—
1488	C₂³	—	2	1	no	—
1489	C₂³	—	5	1	no	—
1490	C₂³	—	5	1	no	—
1491	C₂³	—	10	1	no	—
1492	C₂³	—	20	2	no	—
1493	C₂³	—	20	2	no	—
1494	C₂³	—	40	1	no	—
1495	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1496	Q₈	—	2	1	no	—
1497	Q₈	—	2	1	no	—
1498	Q₈	—	2	1	no	—
1499	Q₈	—	2	1	no	—
1500	Q₈	—	2	1	no	—
1501	Q₈	—	2	1	no	—
1502	Q₈	—	8	1	no	—
1503	Q₈	—	10	1	no	—
1504	Q₈	—	10	1	no	—
1505	Q₈	—	20	1	no	—
1506	Q₈	—	20	2	no	—
1507	Q₈	—	40	1	no	—
1508	Q₈	—	40	1	no	—
1509	Q₈	—	40	1	no	—
1510	Q₈	—	40	1	no	—
1511	D₄	—	2	1	no	—
1512	D₄	—	2	1	no	—
1513	D₄	—	5	2	no	—
1514	D₄	—	8	1	no	—
1515	D₄	—	10	2	no	—
1516	D₄	—	10	2	no	—
1517	D₄	—	10	1	no	—
1518	D₄	—	20	2	no	—
1519	D₄	—	20	1	no	—
1520	D₄	—	20	2	no	—
1521	D₄	—	20	2	no	—
1522	D₄	—	40	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	2	1	no	—
1530	C₂×C₄	—	2	1	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	5	1	no	—
1533	C₂×C₄	—	5	1	no	—
1534	C₂×C₄	—	5	1	no	—
1535	C₂×C₄	—	5	1	no	—
1536	C₂×C₄	—	5	1	no	—
1537	C₂×C₄	—	5	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	10	2	no	—
1540	C₂×C₄	—	10	1	no	—
1541	C₂×C₄	—	10	1	no	—
1542	C₂×C₄	—	10	1	no	—
1543	C₂×C₄	—	10	1	no	—
1544	C₂×C₄	—	10	1	no	—
1545	C₂×C₄	—	10	1	no	—
1546	C₂×C₄	—	10	1	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	10	1	no	—
1550	C₂×C₄	—	10	1	no	—
1551	C₂×C₄	—	20	1	no	—
1552	C₂×C₄	—	20	2	no	—
1553	C₂×C₄	—	20	2	no	—
1554	C₂×C₄	—	20	2	no	—
1555	C₂×C₄	—	20	2	no	—
1556	C₂×C₄	—	20	2	no	—
1557	C₂×C₄	—	40	1	no	—
1558	C₂×C₄	—	40	1	no	—
1559	C₂×C₄	—	40	1	no	—
1560	C₂×C₄	—	40	1	no	—
1561	C₂×C₄	—	40	1	no	—
1562	C₂×C₄	—	40	1	no	—
1563	C₂×C₄	—	40	1	no	—
1564	C₂×C₄	—	40	1	no	—
1565	C₂×C₄	—	40	1	no	—
1566	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1569	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1570	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1571	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	2	1	no	—
1576	C₈	—	10	1	no	—
1577	C₈	—	10	1	no	—
1578	C₈	—	10	1	no	—
1579	C₈	—	10	1	no	—
1580	C₅	#62165	1	1	yes	characteristic, complemented, Sylow
1581	C₂²	—	2	1	no	—
1582	C₂²	—	2	1	no	—
1583	C₂²	—	2	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	4	1	no	—
1586	C₂²	—	4	1	no	—
1587	C₂²	—	5	2	no	—
1588	C₂²	—	10	1	no	—
1589	C₂²	—	10	1	no	—
1590	C₂²	—	10	1	no	—
1591	C₂²	—	10	2	no	—
1592	C₂²	—	10	1	no	—
1593	C₂²	—	10	1	no	—
1594	C₂²	—	20	1	no	—
1595	C₂²	—	20	1	no	—
1596	C₂²	—	40	4	no	—
1597	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	10	1	no	—
1614	C₄	—	10	1	no	—
1615	C₄	—	10	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	—	20	1	no	—
1620	C₄	—	20	1	no	—
1621	C₄	—	20	1	no	—
1622	C₄	—	20	1	no	—
1623	C₄	#66285	1	1	yes	characteristic
1624	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1625	C₂	—	4	1	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	10	2	no	—
1628	C₂	—	20	1	no	—
1629	C₂	—	20	2	no	—
1630	C₂	#10618281	1	1	yes	characteristic
1631	C₂	#10619108	1	1	yes	characteristic
1632	C₂	D₅×#578	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	#10618457	C₂
hypercenter	#3258	D₅
hypocenter	C₅	#62165
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. #10618421	C₂	semidirect
3. C₅×#3258	C₂	semidirect
4. #10615185	C₂	semidirect
5. #10615177	C₂	semidirect
6. #10612969	C₂	semidirect
7. #10612965	C₂	semidirect
8. #10612909	C₂	semidirect
9. D₅×#478	C₂	semidirect
10. #10612856	C₂	semidirect
11. #10612834	C₂	semidirect
12. #10612771	C₂	semidirect
13. #10612761	C₂	semidirect
14. #10612650	C₂	semidirect
15. #10612647	C₂	semidirect
16. #10612560	C₂	semidirect
17. #10612554	C₂	semidirect
18. #10612509	C₂	semidirect
19. #10612484	C₂	semidirect
20. #10612402	C₂	semidirect
21. #10612382	C₂	semidirect
22. #10612350	C₂	semidirect
23. #10612346	C₂	semidirect
24. #10612318	C₂	semidirect
25. #10612317	C₂	semidirect
26. #10612217	C₂	semidirect
27. #10612191	C₂	semidirect
28. #10612173	C₂	semidirect
29. #10612141	C₂	semidirect
30. #10610822	C₂	semidirect
31. #10610813	C₂	semidirect
33. C₅×#541	C₂²	semidirect
34. #66065	C₂²	semidirect
47. #66023	C₂²	semidirect
56. #65976	C₂²	semidirect
58. #65973	C₂²	semidirect
70. #65904	C₂²	semidirect
71. #65903	C₂²	semidirect
76. #65853	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. #65473	C₂²	semidirect
95. Q₁₆×Dic₅	C₂²	semidirect
96. #65471	C₂²	semidirect
97. #65471	C₂²	semidirect
108. #65416	C₂²	semidirect
109. #65410	C₂²	semidirect
111. #65400	C₂²	semidirect
113. C₂×#3950	C₂²	semidirect
114. #65379	C₂²	semidirect
116. #65369	C₂²	semidirect
117. #65367	C₂²	semidirect
119. #65352	C₂²	semidirect
124. #65334	C₂²	semidirect
125. #65333	C₂²	semidirect
126. #65333	C₂²	semidirect
127. #65332	C₂²	semidirect
130. #65319	C₂²	semidirect
131. C₄×#689	C₂²	semidirect
134. #65311	C₂²	semidirect
135. #65310	C₂²	semidirect
138. #65289	C₂²	semidirect
142. #65173	C₂²	semidirect
144. D₅×#107	C₂²	semidirect
145. #65165	C₂²	semidirect
146. #65163	C₂²	semidirect
149. #65156	C₂²	semidirect
151. #65150	C₂²	semidirect
153. #65145	C₂²	semidirect
154. #65145	C₂²	semidirect
155. #65139	C₂²	semidirect
156. #65139	C₂²	semidirect
161. #65129	C₂²	semidirect
162. #65128	C₂²	semidirect
167. #65120	C₂²	semidirect
168. #65118	C₂²	semidirect
169. #65118	C₂²	semidirect
170. #65117	C₂²	semidirect
174. #65105	C₂²	semidirect
177. #65102	C₂²	semidirect
181. #65098	C₂²	semidirect
183. #65094	C₂²	semidirect
186. #65086	C₂²	semidirect
187. #65086	C₂²	semidirect
188. #65085	C₂²	semidirect
189. #65083	C₂²	semidirect
190. #65083	C₂²	semidirect
191. #65083	C₂²	semidirect
192. #65083	C₂²	semidirect
193. #65080	C₂²	semidirect
498. #3258	D₅	semidirect
736. #541	C₂×D₅	semidirect
784. #479	C₂×D₅	semidirect
802. #477	C₂×D₅	semidirect
804. #475	C₂×D₅	semidirect
810. #470	C₂×D₅	semidirect
818. #467	C₂×D₅	semidirect
828. #462	C₂×D₅	semidirect
867. #424	C₂×D₅	semidirect
1580. C₅	#62165	semidirect

Maximal subgroups

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

subgroup	index
#10618457	2
#10618421	2
C₅×#3258	2
#10615185	2
#10615177	2
#10612969	2
#10612965	2
#10612909	2
D₅×#478	2
#10612856	2
#10612834	2
#10612771	2
#10612761	2
#10612650	2
#10612647	2
#10612560	2
#10612554	2
#10612509	2
#10612484	2
#10612402	2
#10612382	2
#10612350	2
#10612346	2
#10612318	2
#10612317	2
#10612217	2
#10612191	2
#10612173	2
#10612141	2
#10610822	2
#10610813	2
#62165	5