Subgroups — #12979566

Order 1280.

1816 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618885	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618850	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3360	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615400	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615370	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613392	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613391	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613371	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613369	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613353	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613330	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612963	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612960	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612948	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612946	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612793	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612783	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612267	C₂	1	1	yes	maximal, characteristic
19	D₅×#463	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612249	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612248	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612161	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612150	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611658	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611649	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611380	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#4060	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611361	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611360	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611319	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611303	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#556	C₂²	1	1	yes	characteristic, complemented
33	C₅×#554	C₂²	1	1	yes	characteristic, complemented
34	C₂×#4060	C₂²	1	1	yes	characteristic
35	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
36	C₂×D₅×D₈	C₂²	1	1	yes	characteristic
37	#66066	C₂²	1	1	yes	characteristic, complemented
38	#66063	C₂²	1	1	yes	characteristic
39	#66061	C₂²	1	1	yes	characteristic, complemented
40	#66058	C₂²	1	1	yes	characteristic
41	#66044	—	2	1	no	—
42	#66040	—	2	1	no	—
43	#66039	—	2	1	no	—
44	#66039	—	2	1	no	—
45	#66024	C₂²	1	1	yes	characteristic, complemented
46	#66024	C₂²	1	1	yes	characteristic, complemented
47	#66023	C₂²	1	1	yes	characteristic
48	#66022	C₂²	1	1	yes	characteristic
49	#66015	C₂²	1	1	yes	characteristic, complemented
50	#66008	C₂²	1	1	yes	characteristic
51	D₅×#124	C₂²	1	1	yes	characteristic
52	#66005	C₂²	1	1	yes	characteristic, complemented
53	#65974	—	2	1	no	—
54	#65971	—	2	1	no	—
55	#65970	—	2	1	no	—
56	#65970	—	2	1	no	—
57	#65968	—	2	1	no	—
58	#65968	—	2	1	no	—
59	#65966	—	2	1	no	—
60	D₅×C₂²⋊Q₈	—	2	1	no	—
61	#65919	C₂²	1	1	yes	characteristic, complemented
62	#65919	C₂²	1	1	yes	characteristic, complemented
63	#65913	C₂²	1	1	yes	characteristic, complemented
64	#65912	C₂²	1	1	yes	characteristic
65	C₄×#713	C₂²	1	1	yes	characteristic
66	#65906	C₂²	1	1	yes	characteristic
67	#65902	C₂²	1	1	yes	characteristic, complemented
68	#65893	C₂²	1	1	yes	characteristic, complemented
69	#65879	C₂²	1	1	yes	characteristic
70	#65879	C₂²	1	1	yes	characteristic
71	#65879	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65873	C₂²	1	1	yes	characteristic, complemented
74	#65873	C₂²	1	1	yes	characteristic, complemented
75	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
76	#65862	—	2	1	no	—
77	#65861	—	2	1	no	—
78	#65845	—	2	1	no	—
79	C₂×#4042	—	2	1	no	—
80	C₅×#488	C₂²	1	1	yes	characteristic, complemented
81	C₅×#488	C₂²	1	1	yes	characteristic, complemented
82	C₅×#487	C₂²	1	1	yes	characteristic, complemented
83	C₅×#479	C₂²	1	1	yes	characteristic, complemented
84	C₅×#479	C₂²	1	1	yes	characteristic, complemented
85	C₅×#476	C₂²	1	1	yes	characteristic, complemented
86	C₅×#463	C₂²	1	1	yes	characteristic
87	C₅×#463	C₂²	1	1	yes	characteristic
88	C₅×#461	C₂²	1	1	yes	characteristic, complemented
89	C₅×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
90	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
92	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
93	#65454	C₂²	1	1	yes	characteristic
94	#65454	C₂²	1	1	yes	characteristic
95	#65454	C₂²	1	1	yes	characteristic, complemented
96	#65453	C₂²	1	1	yes	characteristic, complemented
97	#65451	C₂²	1	1	yes	characteristic, complemented
98	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
99	#65442	C₂²	1	1	yes	characteristic
100	#65439	C₂²	1	1	yes	characteristic
101	D₈×Dic₅	C₂²	1	1	yes	characteristic
102	#65378	C₂²	1	1	yes	characteristic, complemented
103	#65376	C₂²	1	1	yes	characteristic, complemented
104	#65372	C₂²	1	1	yes	characteristic, complemented
105	#65371	C₂²	1	1	yes	characteristic, complemented
106	#65357	C₂²	1	1	yes	characteristic, complemented
107	#65356	C₂²	1	1	yes	characteristic, complemented
108	#65355	C₂²	1	1	yes	characteristic, complemented
109	#65352	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic
111	#65346	C₂²	1	1	yes	characteristic
112	#65345	C₂²	1	1	yes	characteristic, complemented
113	#65344	C₂²	1	1	yes	characteristic, complemented
114	#65315	C₂²	1	1	yes	characteristic, complemented
115	C₄×#688	C₂²	1	1	yes	characteristic, complemented
116	#65313	C₂²	1	1	yes	characteristic, complemented
117	#65311	C₂²	1	1	yes	characteristic, complemented
118	#65309	C₂²	1	1	yes	characteristic, complemented
119	#65307	C₂²	1	1	yes	characteristic, complemented
120	#65305	C₂²	1	1	yes	characteristic
121	#65305	C₂²	1	1	yes	characteristic, complemented
122	#65304	C₂²	1	1	yes	characteristic
123	#65303	C₂²	1	1	yes	characteristic
124	#65303	C₂²	1	1	yes	characteristic
125	C₄×#686	C₂²	1	1	yes	characteristic, complemented
126	#65298	C₂²	1	1	yes	characteristic, complemented
127	#65179	C₂²	1	1	yes	characteristic, complemented
128	#65169	C₂²	1	1	yes	characteristic
129	#65166	C₂²	1	1	yes	characteristic, complemented
130	#65161	C₂²	1	1	yes	characteristic
131	#65160	C₂²	1	1	yes	characteristic, complemented
132	#65159	C₂²	1	1	yes	characteristic, complemented
133	#65159	C₂²	1	1	yes	characteristic, complemented
134	#65158	C₂²	1	1	yes	characteristic, complemented
135	#65150	C₂²	1	1	yes	characteristic
136	#65149	C₂²	1	1	yes	characteristic
137	#65143	C₂²	1	1	yes	characteristic, complemented
138	#65141	C₂²	1	1	yes	characteristic, complemented
139	#65139	C₂²	1	1	yes	characteristic, complemented
140	#65136	C₂²	1	1	yes	characteristic, complemented
141	#65136	C₂²	1	1	yes	characteristic, complemented
142	#65133	C₂²	1	1	yes	characteristic
143	#65133	C₂²	1	1	yes	characteristic, complemented
144	#65132	C₂²	1	1	yes	characteristic
145	#65128	C₂²	1	1	yes	characteristic
146	#65128	C₂²	1	1	yes	characteristic
147	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
148	#65119	C₂²	1	1	yes	characteristic, complemented
149	#65117	C₂²	1	1	yes	characteristic, complemented
150	#65117	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic
152	#65108	C₂²	1	1	yes	characteristic
153	#65108	C₂²	1	1	yes	characteristic, complemented
154	#65107	C₂²	1	1	yes	characteristic, complemented
155	#65106	C₂²	1	1	yes	characteristic, complemented
156	#65106	C₂²	1	1	yes	characteristic, complemented
157	#65093	C₂²	1	1	yes	characteristic
158	#65093	C₂²	1	1	yes	characteristic
159	#65092	C₂²	1	1	yes	characteristic
160	#65091	C₂²	1	1	yes	characteristic
161	#65091	C₂²	1	1	yes	characteristic
162	D₅×#103	C₂²	1	1	yes	characteristic
163	#65089	C₂²	1	1	yes	characteristic, complemented
164	#65089	C₂²	1	1	yes	characteristic, complemented
165	#65086	C₂²	1	1	yes	characteristic, complemented
166	#65085	C₂²	1	1	yes	characteristic, complemented
167	#65084	C₂²	1	1	yes	characteristic, complemented
168	#65084	C₂²	1	1	yes	characteristic, complemented
169	#65084	C₂²	1	1	yes	characteristic, complemented
170	#65084	C₂²	1	1	yes	characteristic, complemented
171	#65083	C₂²	1	1	yes	characteristic, complemented
172	#65083	C₂²	1	1	yes	characteristic, complemented
173	#65081	C₂²	1	1	yes	characteristic, complemented
174	#65080	C₂²	1	1	yes	characteristic, complemented
175	#65076	C₂²	1	1	yes	characteristic
176	#65075	C₂²	1	1	yes	characteristic
177	#65074	C₂²	1	1	yes	characteristic
178	#65074	C₂²	1	1	yes	characteristic
179	#65074	C₂²	1	1	yes	characteristic, complemented
180	#65059	C₂²	1	1	yes	characteristic
181	#65059	C₂²	1	1	yes	characteristic
182	#65059	C₂²	1	1	yes	characteristic
183	D₅×#102	C₂²	1	1	yes	characteristic
184	#65054	C₂²	1	1	yes	characteristic, complemented
185	#65054	C₂²	1	1	yes	characteristic, complemented
186	#65053	C₂²	1	1	yes	characteristic, complemented
187	#65052	C₂²	1	1	yes	characteristic, complemented
188	#65049	C₂²	1	1	yes	characteristic, complemented
189	#65048	C₂²	1	1	yes	characteristic, complemented
190	#65046	C₂²	1	1	yes	characteristic, complemented
191	#64986	C₂²	1	1	yes	characteristic, complemented
192	#64986	C₂²	1	1	yes	characteristic, complemented
193	#64983	C₂²	1	1	yes	characteristic, complemented
194	C₄×D₄₀	C₂²	1	1	yes	characteristic
195	C₄×D₄₀	C₂²	1	1	yes	characteristic, complemented
196	C₄×#677	C₂²	1	1	yes	characteristic, complemented
197	#64978	C₂²	1	1	yes	characteristic
198	#64978	C₂²	1	1	yes	characteristic
199	C₄×#676	C₂²	1	1	yes	characteristic
200	#64968	C₂²	1	1	yes	characteristic, complemented
201	#64968	C₂²	1	1	yes	characteristic, complemented
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#61343	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅	—	2	1	no	—
210	C₂²×Dic₁₀	—	2	1	no	—
211	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#126	—	2	1	no	—
217	C₅×#126	—	2	1	no	—
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#124	C₂³	1	1	yes	characteristic
221	C₅×#124	C₂³	1	1	yes	characteristic
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₅×C₂²⋊Q₈	—	2	1	no	—
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₅×#117	—	2	1	no	—
234	C₂×C₅×C₄⋊C₄	—	2	1	no	—
235	#4093	—	2	1	no	—
236	#4093	C₂³	1	1	yes	characteristic
237	#4093	C₂³	1	1	yes	characteristic
238	#4093	C₂³	1	1	yes	characteristic
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	—	2	1	no	—
242	#4092	D₄	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	D₄	1	1	yes	characteristic
247	#4090	C₂³	1	1	yes	characteristic
248	C₂×#688	C₂³	1	1	yes	characteristic
249	C₂×#688	C₂³	1	1	yes	characteristic
250	#4086	C₂³	1	1	yes	characteristic
251	#4082	C₂³	1	1	yes	characteristic
252	D₄×Dic₅	C₂³	1	1	yes	characteristic
253	D₄×Dic₅	C₂³	1	1	yes	characteristic
254	D₄×Dic₅	C₂³	1	1	yes	characteristic
255	D₄×Dic₅	C₂³	1	1	yes	characteristic
256	C₂×#687	C₂³	1	1	yes	characteristic
257	C₂×#686	C₂³	1	1	yes	characteristic
258	C₂×#686	C₂³	1	1	yes	characteristic
259	C₂×#686	C₂³	1	1	yes	characteristic
260	#4075	—	2	1	no	—
261	C₄×C₂²⋊D₅	—	2	1	no	—
262	C₄×C₂²⋊D₅	—	2	1	no	—
263	C₄×C₂²⋊D₅	—	2	1	no	—
264	C₄×C₂²⋊D₅	—	2	1	no	—
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₂×#685	—	2	1	no	—
267	C₂×#685	—	2	1	no	—
268	C₂×#685	—	2	1	no	—
269	#4070	—	2	1	no	—
270	#4070	—	2	1	no	—
271	#4070	—	2	1	no	—
272	C₂×#683	—	2	1	no	—
273	C₂×#683	—	2	1	no	—
274	#4060	—	2	4	no	—
275	D₅×SD₁₆	—	2	4	no	—
276	D₅×D₈	—	2	4	no	—
277	C₂×D₄₀	C₂³	1	1	yes	characteristic
278	C₂×D₄₀	C₂³	1	1	yes	characteristic
279	C₂×#677	C₂³	1	1	yes	characteristic
280	C₂×#676	C₂³	1	1	yes	characteristic
281	C₂×#676	C₂³	1	1	yes	characteristic
282	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
284	#4044	—	2	1	no	—
285	#4044	—	2	1	no	—
286	#4044	—	2	1	no	—
287	#4043	—	2	1	no	—
288	#4043	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	—	2	1	no	—
291	#4043	D₄	1	1	yes	characteristic
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4042	—	2	1	no	—
302	#4042	—	2	1	no	—
303	#4042	—	2	1	no	—
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4042	D₄	1	1	yes	characteristic
308	#4042	D₄	1	1	yes	characteristic
309	#4040	—	2	1	no	—
310	#4040	—	2	1	no	—
311	#4040	—	2	1	no	—
312	#4040	—	2	1	no	—
313	#4040	—	2	1	no	—
314	#4040	—	2	1	no	—
315	#4039	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	C₂³	1	1	yes	characteristic
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4039	C₂³	1	1	yes	characteristic
322	#4038	—	2	1	no	—
323	#4038	—	2	1	no	—
324	#4038	—	2	1	no	—
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
328	D₅×C₄⋊C₄	—	2	1	no	—
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	—	2	1	no	—
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	#4036	C₂³	1	1	yes	characteristic
333	#4036	C₂³	1	1	yes	characteristic
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4035	D₄	1	1	yes	characteristic
337	#4035	D₄	1	1	yes	characteristic
338	#4034	—	2	1	no	—
339	#4034	D₄	1	1	yes	characteristic
340	#4034	C₂³	1	1	yes	characteristic
341	#4034	C₂³	1	1	yes	characteristic
342	#4034	C₂³	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
346	#4033	—	2	1	no	—
347	#4033	C₂³	1	1	yes	characteristic
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	#4030	—	2	1	no	—
354	#4030	—	2	1	no	—
355	#4029	—	2	1	no	—
356	#4029	—	2	1	no	—
357	#4028	—	2	1	no	—
358	#4028	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	D₅×C₂²⋊C₄	—	2	1	no	—
365	D₅×C₂²⋊C₄	—	2	1	no	—
366	D₅×C₂²⋊C₄	—	2	1	no	—
367	D₅×C₂²⋊C₄	—	2	1	no	—
368	D₅×C₂²⋊C₄	—	2	1	no	—
369	D₅×C₂²⋊C₄	—	2	1	no	—
370	#4025	—	2	1	no	—
371	#4025	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4023	—	2	1	no	—
380	#4022	—	2	1	no	—
381	#4021	—	2	1	no	—
382	#4021	C₂³	1	1	yes	characteristic
383	#4021	C₂³	1	1	yes	characteristic
384	#4020	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	—	2	1	no	—
386	C₄×D₂₀	—	2	1	no	—
387	C₄×D₂₀	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	C₂³	1	1	yes	characteristic
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	C₂³	1	1	yes	characteristic
395	#4018	C₂³	1	1	yes	characteristic
396	C₄²×D₅	—	2	1	no	—
397	C₄²×D₅	C₂³	1	1	yes	characteristic
398	#4016	C₂³	1	1	yes	characteristic
399	#4016	C₂³	1	1	yes	characteristic
400	#4015	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
423	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	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	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3953	C₂³	1	1	yes	characteristic
441	#3953	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3950	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	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3947	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	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	C₈×Dic₅	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	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	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	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3510	—	5	1	no	—
483	#3501	—	5	1	no	—
484	#3376	—	5	1	no	—
485	#3376	—	5	1	no	—
486	#3376	—	5	1	no	—
487	#3376	—	5	1	no	—
488	#3373	—	5	1	no	—
489	#3373	—	5	1	no	—
490	#3370	—	5	1	no	—
491	#3370	—	5	1	no	—
492	#3370	—	5	1	no	—
493	#3370	—	5	1	no	—
494	#3367	—	5	1	no	—
495	#3367	—	5	1	no	—
496	#3361	—	5	1	no	—
497	#3361	—	5	1	no	—
498	#3360	—	5	1	no	—
499	#3360	D₅	1	1	yes	characteristic, complemented
500	#3140	—	5	1	no	—
501	#3137	—	5	1	no	—
502	#3136	—	5	1	no	—
503	#3082	—	5	1	no	—
504	#3081	—	5	1	no	—
505	#3076	—	5	1	no	—
506	#3042	—	5	1	no	—
507	#3041	—	5	1	no	—
508	C₂×#463	—	5	1	no	—
509	#2962	—	5	1	no	—
510	#2949	—	5	1	no	—
511	#2948	—	5	1	no	—
512	C₄×AGL(1,ℤ/8)	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₂³×D₅	—	2	1	no	—
515	C₂×C₅×Q₈	—	2	1	no	—
516	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂²×Dic₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	#713	—	2	2	no	—
534	#713	—	2	2	no	—
535	Q₈×D₅	—	2	2	no	—
536	Q₈×D₅	—	2	2	no	—
537	Q₈×D₅	—	8	2	no	—
538	D₄×D₅	—	2	2	no	—
539	D₄×D₅	—	2	2	no	—
540	D₄×D₅	—	2	2	no	—
541	D₄×D₅	#41	1	4	yes	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	—	2	1	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
546	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
547	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	8	2	no	—
562	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	8	2	no	—
572	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₅×SD₁₆	—	2	2	no	—
577	C₅×SD₁₆	—	2	2	no	—
578	C₅×D₈	—	2	2	no	—
579	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
580	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₄²×C₅	—	2	1	no	—
608	C₄²×C₅	—	2	1	no	—
609	C₄²×C₅	C₂⁴	1	1	yes	characteristic
610	C₄²×C₅	C₂⁴	1	1	yes	characteristic
611	C₄²×C₅	C₂⁴	1	1	yes	characteristic
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	#688	—	2	2	no	—
619	#688	—	2	2	no	—
620	#687	—	2	2	no	—
621	#686	—	2	2	no	—
622	#686	—	2	2	no	—
623	#686	—	2	2	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	C₂×D₄	1	1	yes	characteristic
648	#685	C₂×D₄	1	1	yes	characteristic
649	#685	C₂×D₄	1	1	yes	characteristic
650	#685	C₂×D₄	1	1	yes	characteristic
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
662	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	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	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	D₄₀	—	2	2	no	—
705	D₄₀	—	2	2	no	—
706	#677	—	2	2	no	—
707	#676	—	2	2	no	—
708	#676	—	2	2	no	—
709	C₈×D₅	—	2	2	no	—
710	C₈×D₅	—	2	2	no	—
711	C₂×AGL(1,ℤ/8)	—	5	1	no	—
712	C₂²×SD₁₆	—	5	1	no	—
713	C₂²×D₈	—	5	1	no	—
714	#559	—	5	1	no	—
715	#559	—	5	1	no	—
716	#559	—	5	1	no	—
717	#559	—	5	1	no	—
718	#556	—	5	1	no	—
719	#556	—	5	1	no	—
720	#556	—	5	1	no	—
721	#556	C₂×D₅	1	1	yes	characteristic, complemented
722	#554	—	5	1	no	—
723	#554	—	5	1	no	—
724	#554	—	5	1	no	—
725	#554	—	5	1	no	—
726	#554	—	5	1	no	—
727	#554	—	10	1	no	—
728	#554	—	10	1	no	—
729	#554	—	10	1	no	—
730	#554	C₂×D₅	1	1	yes	characteristic, complemented
731	#551	—	10	1	no	—
732	#551	—	10	1	no	—
733	#551	—	10	1	no	—
734	#551	—	10	1	no	—
735	D₄×Q₈	—	5	1	no	—
736	D₄×Q₈	—	5	1	no	—
737	D₄×Q₈	—	10	1	no	—
738	#544	—	5	1	no	—
739	#544	—	5	1	no	—
740	#543	—	10	1	no	—
741	#543	—	10	1	no	—
742	#542	—	10	1	no	—
743	#542	—	10	1	no	—
744	#536	—	5	1	no	—
745	#535	—	5	1	no	—
746	#533	—	5	1	no	—
747	#533	—	5	1	no	—
748	#529	—	10	1	no	—
749	#529	—	10	1	no	—
750	C₂×#124	—	5	1	no	—
751	C₂×C₂²⋊Q₈	—	10	1	no	—
752	C₂×C₂²⋊Q₈	—	10	1	no	—
753	#519	—	5	1	no	—
754	#518	—	5	1	no	—
755	#518	—	5	1	no	—
756	#518	—	5	1	no	—
757	C₄×#41	—	5	1	no	—
758	C₂×C₄×D₄	—	5	1	no	—
759	#491	—	5	1	no	—
760	#491	—	5	1	no	—
761	#490	—	5	1	no	—
762	#490	—	5	1	no	—
763	#489	—	5	1	no	—
764	#489	—	5	1	no	—
765	#489	—	5	1	no	—
766	#489	—	5	1	no	—
767	#489	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	—	5	1	no	—
771	#488	—	5	1	no	—
772	#488	—	5	1	no	—
773	#488	—	5	1	no	—
774	#488	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	C₂×D₅	1	1	yes	characteristic, complemented
778	#488	C₂×D₅	1	1	yes	characteristic, complemented
779	#487	—	5	1	no	—
780	#487	C₂×D₅	1	1	yes	characteristic, complemented
781	#486	—	5	1	no	—
782	#486	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	C₂×D₅	1	1	yes	characteristic, complemented
788	#479	C₂×D₅	1	1	yes	characteristic, complemented
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	C₂×D₅	1	1	yes	characteristic, complemented
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#475	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#463	—	5	1	no	—
808	#463	—	5	1	no	—
809	#463	—	5	1	no	—
810	#463	—	5	1	no	—
811	#463	—	5	1	no	—
812	#463	—	5	1	no	—
813	#463	—	5	1	no	—
814	#463	—	5	1	no	—
815	#463	—	5	1	no	—
816	#463	—	5	1	no	—
817	#463	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	C₂×D₅	1	1	yes	characteristic
822	#463	C₂×D₅	1	1	yes	characteristic
823	#461	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#461	C₂×D₅	1	1	yes	characteristic, complemented
827	#459	—	5	1	no	—
828	#459	—	5	1	no	—
829	#459	—	5	1	no	—
830	#459	—	5	1	no	—
831	#446	—	5	1	no	—
832	#446	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#446	—	5	1	no	—
837	C₈×Q₈	—	5	1	no	—
838	C₈×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
839	#442	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×SD₁₆	—	5	1	no	—
853	C₄×SD₁₆	—	5	1	no	—
854	C₄×SD₁₆	—	5	1	no	—
855	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
856	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
857	C₄×D₈	—	5	1	no	—
858	C₄×D₈	—	5	1	no	—
859	C₄×D₈	—	5	1	no	—
860	C₄×D₈	—	5	1	no	—
861	C₄×D₈	—	5	1	no	—
862	C₄×D₈	C₂×D₅	1	1	yes	characteristic
863	#428	—	5	1	no	—
864	#427	—	5	1	no	—
865	#427	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	—	5	1	no	—
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#419	—	5	1	no	—
870	#419	—	5	1	no	—
871	#418	—	5	1	no	—
872	#418	—	5	1	no	—
873	#418	—	5	1	no	—
874	#417	—	5	1	no	—
875	#416	—	5	1	no	—
876	#416	—	5	1	no	—
877	C₂×#103	—	5	1	no	—
878	C₂×#102	—	5	1	no	—
879	#405	—	5	1	no	—
880	#405	—	5	1	no	—
881	C₄×M₁₆	—	5	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	—	2	1	no	—
884	C₂²×D₅	—	2	1	no	—
885	C₂²×D₅	—	2	4	no	—
886	C₂²×D₅	—	2	1	no	—
887	C₂²×D₅	—	2	1	no	—
888	C₂²×D₅	—	4	2	no	—
889	C₂²×D₅	—	8	1	no	—
890	C₂²×D₅	—	8	1	no	—
891	C₂²×D₅	—	8	1	no	—
892	C₂²×D₅	—	8	1	no	—
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	4	1	no	—
899	C₅×Q₈	—	8	1	no	—
900	C₅×D₄	—	2	1	no	—
901	C₅×D₄	—	2	1	no	—
902	C₅×D₄	—	2	1	no	—
903	C₅×D₄	C₂×#41	1	2	yes	—
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	—	2	1	no	—
910	C₂×C₄×C₅	—	8	1	no	—
911	C₂×C₄×C₅	—	8	1	no	—
912	C₂×C₄×C₅	—	8	1	no	—
913	C₂×C₄×C₅	—	8	1	no	—
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
921	C₂²⋊D₅	—	2	4	no	—
922	C₂²⋊D₅	—	4	2	no	—
923	C₂²⋊D₅	—	8	1	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	2	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	4	2	no	—
931	C₂×Dic₅	—	8	1	no	—
932	C₂×Dic₅	—	8	1	no	—
933	C₂×Dic₅	—	8	1	no	—
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	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
938	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	D₂₀	—	2	1	no	—
942	D₂₀	—	2	1	no	—
943	D₂₀	—	2	1	no	—
944	D₂₀	—	2	1	no	—
945	D₂₀	—	2	1	no	—
946	D₂₀	—	4	2	no	—
947	D₂₀	—	8	1	no	—
948	D₂₀	—	8	1	no	—
949	D₂₀	C₂×#41	1	2	yes	—
950	C₄×D₅	—	4	1	no	—
951	C₄×D₅	—	4	1	no	—
952	C₄×D₅	—	4	2	no	—
953	C₄×D₅	—	4	2	no	—
954	C₄×D₅	—	4	2	no	—
955	C₄×D₅	—	8	1	no	—
956	C₄×D₅	—	8	1	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	C₄×D₅	—	8	1	no	—
962	C₄×D₅	—	8	1	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	C₂×#41	1	2	yes	—
966	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
967	Dic₁₀	—	2	1	no	—
968	Dic₁₀	—	2	1	no	—
969	Dic₁₀	—	4	1	no	—
970	Dic₁₀	—	4	1	no	—
971	Dic₁₀	—	4	1	no	—
972	Dic₁₀	—	4	2	no	—
973	Dic₁₀	—	4	2	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	1	no	—
976	Dic₁₀	—	8	1	no	—
977	Dic₁₀	—	8	1	no	—
978	C₅×C₈	—	2	1	no	—
979	C₅×C₈	—	2	1	no	—
980	C₅×C₈	—	2	1	no	—
981	C₅×C₈	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	#168	—	2	1	no	—
985	#168	—	2	1	no	—
986	C₂×#41	—	5	1	no	—
987	C₂²×Q₈	—	5	1	no	—
988	C₂²×Q₈	—	10	1	no	—
989	C₂²×Q₈	—	10	1	no	—
990	C₂²×D₄	—	5	1	no	—
991	C₂²×D₄	—	5	1	no	—
992	C₂³×C₄	—	10	1	no	—
993	AGL(1,ℤ/8)	—	10	4	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	—	5	1	no	—
997	C₂×SD₁₆	—	5	1	no	—
998	C₂×SD₁₆	—	10	4	no	—
999	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1000	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1001	C₂×D₈	—	5	1	no	—
1002	C₂×D₈	—	5	1	no	—
1003	C₂×D₈	—	5	1	no	—
1004	C₂×D₈	—	5	1	no	—
1005	C₂×D₈	—	5	1	no	—
1006	C₂×D₈	—	10	4	no	—
1007	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1008	C₂×M₁₆	—	5	1	no	—
1009	C₂×M₁₆	—	5	1	no	—
1010	C₂²×C₈	—	5	1	no	—
1011	C₂²×C₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	5	1	no	—
1014	C₄⋊Q₈	—	5	1	no	—
1015	C₄⋊Q₈	—	5	1	no	—
1016	C₄⋊Q₈	—	5	1	no	—
1017	C₄⋊Q₈	—	5	1	no	—
1018	C₄⋊Q₈	—	5	1	no	—
1019	C₄⋊Q₈	—	5	1	no	—
1020	C₄⋊Q₈	—	10	1	no	—
1021	C₄⋊Q₈	—	10	1	no	—
1022	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1023	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1024	#127	—	5	1	no	—
1025	#127	—	5	1	no	—
1026	#126	—	2	1	no	—
1027	#126	—	2	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#125	—	5	1	no	—
1035	#125	—	5	1	no	—
1036	#125	—	5	1	no	—
1037	#125	—	5	1	no	—
1038	#125	—	5	1	no	—
1039	#125	—	5	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	C₂²×D₅	1	1	yes	characteristic
1043	#125	C₂²×D₅	1	1	yes	characteristic
1044	#124	—	5	1	no	—
1045	#124	—	5	1	no	—
1046	#124	—	5	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	C₂²×D₅	1	1	yes	characteristic
1057	#124	C₂²×D₅	1	1	yes	characteristic
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	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	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	—	2	1	no	—
1070	C₂²⋊Q₈	—	2	1	no	—
1071	C₂²⋊Q₈	—	2	1	no	—
1072	C₂²⋊Q₈	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	5	1	no	—
1075	C₂²⋊Q₈	—	5	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	—	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	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	—	10	1	no	—
1104	C₂²⋊Q₈	—	10	1	no	—
1105	C₂²⋊Q₈	—	10	1	no	—
1106	C₂²⋊Q₈	—	10	1	no	—
1107	C₂²⋊Q₈	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#120	—	10	1	no	—
1111	#120	—	10	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1124	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1125	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₄×D₄	—	5	1	no	—
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1155	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1156	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1157	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1158	#117	—	2	1	no	—
1159	#117	—	5	1	no	—
1160	#117	—	5	1	no	—
1161	#117	—	5	1	no	—
1162	#117	—	5	1	no	—
1163	#117	—	5	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	—	10	1	no	—
1167	#117	—	10	1	no	—
1168	#117	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	C₂×C₄⋊C₄	—	2	1	no	—
1171	C₂×C₄⋊C₄	—	5	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₄⋊C₄	—	10	1	no	—
1176	C₂×C₄⋊C₄	—	10	1	no	—
1177	C₂×C₂²⋊C₄	—	10	1	no	—
1178	C₂×C₂²⋊C₄	—	10	1	no	—
1179	C₂×C₂²⋊C₄	—	10	1	no	—
1180	C₂×C₂²⋊C₄	—	10	1	no	—
1181	C₂×C₂²⋊C₄	—	10	1	no	—
1182	C₂×C₂²⋊C₄	—	10	1	no	—
1183	C₂×C₂²⋊C₄	—	10	1	no	—
1184	C₂×C₂²⋊C₄	—	10	1	no	—
1185	C₂×C₂²⋊C₄	—	10	1	no	—
1186	C₂×C₄²	—	5	1	no	—
1187	C₂×C₄²	—	10	1	no	—
1188	#107	—	5	1	no	—
1189	#107	—	5	1	no	—
1190	#107	—	5	1	no	—
1191	#107	—	5	1	no	—
1192	#107	—	5	1	no	—
1193	#107	C₂²×D₅	1	1	yes	characteristic
1194	#106	—	5	1	no	—
1195	#106	—	5	1	no	—
1196	#106	—	5	1	no	—
1197	#106	—	5	1	no	—
1198	#106	C₂²×D₅	1	1	yes	characteristic
1199	#106	C₂²×D₅	1	1	yes	characteristic
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	—	5	1	no	—
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1210	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1211	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#103	C₂²×D₅	1	1	yes	characteristic
1226	#103	C₂²×D₅	1	1	yes	characteristic
1227	#103	C₂²×D₅	1	1	yes	characteristic
1228	#103	C₂²×D₅	1	1	yes	characteristic
1229	#103	C₂²×D₅	1	1	yes	characteristic
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	C₂²×D₅	1	1	yes	characteristic
1249	#102	C₂²×D₅	1	1	yes	characteristic
1250	#102	C₂²×D₅	1	1	yes	characteristic
1251	#102	C₂²×D₅	1	1	yes	characteristic
1252	#97	—	5	1	no	—
1253	#97	—	5	1	no	—
1254	#97	—	5	1	no	—
1255	#97	—	5	1	no	—
1256	#97	—	5	1	no	—
1257	#97	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₄×C₈	—	5	1	no	—
1260	C₄×C₈	—	5	1	no	—
1261	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1262	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1263	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1264	C₂²×C₅	—	2	2	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	—	4	1	no	—
1267	C₂²×C₅	—	4	1	no	—
1268	C₂²×C₅	—	4	1	no	—
1269	C₂²×C₅	—	4	1	no	—
1270	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1271	C₂×D₅	—	2	1	no	—
1272	C₂×D₅	—	2	1	no	—
1273	C₂×D₅	—	2	2	no	—
1274	C₂×D₅	—	4	1	no	—
1275	C₂×D₅	—	4	1	no	—
1276	C₂×D₅	—	4	1	no	—
1277	C₂×D₅	—	4	1	no	—
1278	C₂×D₅	—	4	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	4	1	no	—
1282	C₂×D₅	—	8	4	no	—
1283	C₂×D₅	—	16	2	no	—
1284	C₂×D₅	#548	1	2	yes	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	2	1	no	—
1289	C₄×C₅	—	2	1	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	—	4	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1298	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	2	1	no	—
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	2	1	no	—
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	2	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	Dic₅	—	4	1	no	—
1309	Dic₅	—	4	1	no	—
1310	Dic₅	#548	1	2	yes	—
1311	C₂⁴	—	10	1	no	—
1312	C₂⁴	—	10	1	no	—
1313	#41	—	10	2	no	—
1314	#41	—	10	2	no	—
1315	C₂×Q₈	—	2	1	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	5	1	no	—
1319	C₂×Q₈	—	5	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	10	1	no	—
1325	C₂×Q₈	—	10	2	no	—
1326	C₂×Q₈	—	10	2	no	—
1327	C₂×Q₈	—	10	1	no	—
1328	C₂×Q₈	—	40	2	no	—
1329	C₂×Q₈	—	40	2	no	—
1330	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1331	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1332	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1333	C₂×D₄	—	5	4	no	—
1334	C₂×D₄	—	5	1	no	—
1335	C₂×D₄	—	5	1	no	—
1336	C₂×D₄	—	5	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	2	no	—
1339	C₂×D₄	—	10	2	no	—
1340	C₂×D₄	—	10	2	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	10	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1348	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	5	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	40	2	no	—
1374	SD₁₆	—	2	2	no	—
1375	SD₁₆	—	2	2	no	—
1376	SD₁₆	—	10	2	no	—
1377	SD₁₆	—	10	2	no	—
1378	SD₁₆	—	10	2	no	—
1379	SD₁₆	—	10	2	no	—
1380	D₈	—	2	2	no	—
1381	D₈	—	10	2	no	—
1382	D₈	—	10	2	no	—
1383	D₈	—	10	2	no	—
1384	D₈	—	10	2	no	—
1385	D₈	—	10	2	no	—
1386	M₁₆	—	10	2	no	—
1387	M₁₆	—	10	2	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	5	1	no	—
1390	C₂×C₈	—	5	1	no	—
1391	C₂×C₈	—	5	1	no	—
1392	C₂×C₈	—	10	2	no	—
1393	C₂×C₈	—	10	2	no	—
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1396	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1397	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1445	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1450	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	5	1	no	—
1460	C₂²⋊C₄	—	5	1	no	—
1461	C₂²⋊C₄	—	5	1	no	—
1462	C₂²⋊C₄	—	5	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	5	1	no	—
1495	C₄²	—	5	1	no	—
1496	C₄²	—	5	1	no	—
1497	C₄²	—	5	1	no	—
1498	C₄²	—	5	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	—	10	1	no	—
1503	C₄²	—	10	1	no	—
1504	C₄²	—	10	1	no	—
1505	C₄²	—	10	1	no	—
1506	C₄²	C₂³×D₅	1	1	yes	characteristic
1507	C₄²	C₂³×D₅	1	1	yes	characteristic
1508	C₄²	C₂³×D₅	1	1	yes	characteristic
1509	C₂×C₅	—	4	2	no	—
1510	C₂×C₅	—	8	1	no	—
1511	C₂×C₅	C₂×#548	1	1	yes	characteristic
1512	C₂×C₅	#3584	1	1	yes	characteristic
1513	C₂×C₅	#3585	1	1	yes	characteristic
1514	D₅	—	2	2	no	—
1515	D₅	—	4	2	no	—
1516	D₅	—	8	1	no	—
1517	D₅	—	8	1	no	—
1518	C₂³	—	2	1	no	—
1519	C₂³	—	2	1	no	—
1520	C₂³	—	5	1	no	—
1521	C₂³	—	10	4	no	—
1522	C₂³	—	10	1	no	—
1523	C₂³	—	10	1	no	—
1524	C₂³	—	10	1	no	—
1525	C₂³	—	20	2	no	—
1526	C₂³	—	40	1	no	—
1527	C₂³	—	40	1	no	—
1528	C₂³	—	40	1	no	—
1529	C₂³	—	40	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	2	1	no	—
1533	Q₈	—	2	1	no	—
1534	Q₈	—	4	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	—	10	1	no	—
1537	Q₈	—	10	1	no	—
1538	Q₈	—	20	1	no	—
1539	Q₈	—	20	1	no	—
1540	Q₈	—	20	1	no	—
1541	Q₈	—	20	2	no	—
1542	Q₈	—	20	2	no	—
1543	Q₈	—	40	1	no	—
1544	Q₈	—	40	1	no	—
1545	Q₈	—	40	1	no	—
1546	Q₈	—	40	1	no	—
1547	D₄	—	2	1	no	—
1548	D₄	—	2	1	no	—
1549	D₄	—	2	1	no	—
1550	D₄	—	5	2	no	—
1551	D₄	—	10	4	no	—
1552	D₄	—	10	1	no	—
1553	D₄	—	10	1	no	—
1554	D₄	—	10	1	no	—
1555	D₄	—	10	1	no	—
1556	D₄	—	10	1	no	—
1557	D₄	—	20	2	no	—
1558	D₄	—	20	2	no	—
1559	D₄	—	40	1	no	—
1560	D₄	—	40	1	no	—
1561	D₄	—	40	1	no	—
1562	D₄	—	40	1	no	—
1563	D₄	D₅×#41	1	2	yes	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	5	1	no	—
1571	C₂×C₄	—	5	2	no	—
1572	C₂×C₄	—	5	2	no	—
1573	C₂×C₄	—	5	1	no	—
1574	C₂×C₄	—	5	1	no	—
1575	C₂×C₄	—	5	1	no	—
1576	C₂×C₄	—	5	1	no	—
1577	C₂×C₄	—	5	1	no	—
1578	C₂×C₄	—	5	1	no	—
1579	C₂×C₄	—	8	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	8	1	no	—
1583	C₂×C₄	—	10	1	no	—
1584	C₂×C₄	—	10	1	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	20	1	no	—
1589	C₂×C₄	—	20	1	no	—
1590	C₂×C₄	—	20	2	no	—
1591	C₂×C₄	—	20	2	no	—
1592	C₂×C₄	—	20	2	no	—
1593	C₂×C₄	—	20	2	no	—
1594	C₂×C₄	—	40	1	no	—
1595	C₂×C₄	—	40	1	no	—
1596	C₂×C₄	—	40	1	no	—
1597	C₂×C₄	—	40	1	no	—
1598	C₂×C₄	—	40	1	no	—
1599	C₂×C₄	—	40	1	no	—
1600	C₂×C₄	—	40	1	no	—
1601	C₂×C₄	—	40	1	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	—	40	1	no	—
1604	C₂×C₄	—	40	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	—	40	1	no	—
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1613	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	2	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₈	—	10	1	no	—
1621	C₈	—	10	1	no	—
1622	C₅	#61343	1	1	yes	characteristic, complemented, Sylow
1623	C₂²	—	2	2	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	5	2	no	—
1630	C₂²	—	10	1	no	—
1631	C₂²	—	10	1	no	—
1632	C₂²	—	10	2	no	—
1633	C₂²	—	20	1	no	—
1634	C₂²	—	20	1	no	—
1635	C₂²	—	20	1	no	—
1636	C₂²	—	20	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	20	1	no	—
1641	C₂²	—	40	4	no	—
1642	C₂²	—	80	2	no	—
1643	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	5	2	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	10	1	no	—
1661	C₄	—	10	1	no	—
1662	C₄	—	10	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	—	20	1	no	—
1668	C₄	C₂×D₅×#41	1	1	yes	characteristic
1669	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1670	C₂	—	4	2	no	—
1671	C₂	—	8	1	no	—
1672	C₂	—	10	2	no	—
1673	C₂	—	20	2	no	—
1674	C₂	—	40	1	no	—
1675	C₂	—	40	1	no	—
1676	C₂	D₅×#548	1	1	yes	characteristic
1677	C₂	#10619088	1	1	yes	characteristic
1678	C₂	#10619108	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×#3360	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10612267	C₂
hypercenter	#3360	D₅
hypocenter	C₅	#61343
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3360

Complements

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

N	H ≅ G/N	type
1. #10618885	C₂	semidirect
2. #10618850	C₂	semidirect
3. C₅×#3360	C₂	semidirect
4. #10615400	C₂	semidirect
5. #10615370	C₂	semidirect
6. #10613392	C₂	semidirect
7. #10613391	C₂	semidirect
8. #10613371	C₂	semidirect
9. #10613369	C₂	semidirect
10. #10613353	C₂	semidirect
11. #10613330	C₂	semidirect
12. #10612963	C₂	semidirect
13. #10612960	C₂	semidirect
14. #10612948	C₂	semidirect
15. #10612946	C₂	semidirect
16. #10612793	C₂	semidirect
17. #10612783	C₂	semidirect
19. D₅×#463	C₂	semidirect
20. #10612249	C₂	semidirect
21. #10612248	C₂	semidirect
22. #10612161	C₂	semidirect
23. #10612150	C₂	semidirect
24. #10611658	C₂	semidirect
25. #10611649	C₂	semidirect
26. #10611380	C₂	semidirect
27. C₄×#4060	C₂	semidirect
28. #10611361	C₂	semidirect
29. #10611360	C₂	semidirect
30. #10611319	C₂	semidirect
31. #10611303	C₂	semidirect
32. C₅×#556	C₂²	semidirect
33. C₅×#554	C₂²	semidirect
37. #66066	C₂²	semidirect
39. #66061	C₂²	semidirect
45. #66024	C₂²	semidirect
46. #66024	C₂²	semidirect
49. #66015	C₂²	semidirect
52. #66005	C₂²	semidirect
61. #65919	C₂²	semidirect
62. #65919	C₂²	semidirect
63. #65913	C₂²	semidirect
67. #65902	C₂²	semidirect
68. #65893	C₂²	semidirect
73. #65873	C₂²	semidirect
74. #65873	C₂²	semidirect
75. D₄×Dic₁₀	C₂²	semidirect
80. C₅×#488	C₂²	semidirect
81. C₅×#488	C₂²	semidirect
82. C₅×#487	C₂²	semidirect
83. C₅×#479	C₂²	semidirect
84. C₅×#479	C₂²	semidirect
85. C₅×#476	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
89. C₅×C₈×Q₈	C₂²	semidirect
90. C₄×C₅×SD₁₆	C₂²	semidirect
91. C₄×C₅×SD₁₆	C₂²	semidirect
95. #65454	C₂²	semidirect
96. #65453	C₂²	semidirect
97. #65451	C₂²	semidirect
98. SD₁₆×Dic₅	C₂²	semidirect
102. #65378	C₂²	semidirect
103. #65376	C₂²	semidirect
104. #65372	C₂²	semidirect
105. #65371	C₂²	semidirect
106. #65357	C₂²	semidirect
107. #65356	C₂²	semidirect
108. #65355	C₂²	semidirect
109. #65352	C₂²	semidirect
112. #65345	C₂²	semidirect
113. #65344	C₂²	semidirect
114. #65315	C₂²	semidirect
115. C₄×#688	C₂²	semidirect
116. #65313	C₂²	semidirect
117. #65311	C₂²	semidirect
118. #65309	C₂²	semidirect
119. #65307	C₂²	semidirect
121. #65305	C₂²	semidirect
125. C₄×#686	C₂²	semidirect
126. #65298	C₂²	semidirect
127. #65179	C₂²	semidirect
129. #65166	C₂²	semidirect
131. #65160	C₂²	semidirect
132. #65159	C₂²	semidirect
133. #65159	C₂²	semidirect
134. #65158	C₂²	semidirect
137. #65143	C₂²	semidirect
138. #65141	C₂²	semidirect
139. #65139	C₂²	semidirect
140. #65136	C₂²	semidirect
141. #65136	C₂²	semidirect
143. #65133	C₂²	semidirect
148. #65119	C₂²	semidirect
149. #65117	C₂²	semidirect
150. #65117	C₂²	semidirect
153. #65108	C₂²	semidirect
154. #65107	C₂²	semidirect
155. #65106	C₂²	semidirect
156. #65106	C₂²	semidirect
163. #65089	C₂²	semidirect
164. #65089	C₂²	semidirect
165. #65086	C₂²	semidirect
166. #65085	C₂²	semidirect
167. #65084	C₂²	semidirect
168. #65084	C₂²	semidirect
169. #65084	C₂²	semidirect
170. #65084	C₂²	semidirect
171. #65083	C₂²	semidirect
172. #65083	C₂²	semidirect
173. #65081	C₂²	semidirect
174. #65080	C₂²	semidirect
179. #65074	C₂²	semidirect
184. #65054	C₂²	semidirect
185. #65054	C₂²	semidirect
186. #65053	C₂²	semidirect
187. #65052	C₂²	semidirect
188. #65049	C₂²	semidirect
189. #65048	C₂²	semidirect
190. #65046	C₂²	semidirect
191. #64986	C₂²	semidirect
192. #64986	C₂²	semidirect
193. #64983	C₂²	semidirect
195. C₄×D₄₀	C₂²	semidirect
196. C₄×#677	C₂²	semidirect
200. #64968	C₂²	semidirect
201. #64968	C₂²	semidirect
202. #64968	C₂²	semidirect
499. #3360	D₅	semidirect
721. #556	C₂×D₅	semidirect
730. #554	C₂×D₅	semidirect
777. #488	C₂×D₅	semidirect
778. #488	C₂×D₅	semidirect
780. #487	C₂×D₅	semidirect
787. #479	C₂×D₅	semidirect
788. #479	C₂×D₅	semidirect
800. #476	C₂×D₅	semidirect
826. #461	C₂×D₅	semidirect
838. C₈×Q₈	C₂×D₅	semidirect
855. C₄×SD₁₆	C₂×D₅	semidirect
856. C₄×SD₁₆	C₂×D₅	semidirect
1622. C₅	#61343	semidirect

Maximal subgroups

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

subgroup	index
#10618885	2
#10618850	2
C₅×#3360	2
#10615400	2
#10615370	2
#10613392	2
#10613391	2
#10613371	2
#10613369	2
#10613353	2
#10613330	2
#10612963	2
#10612960	2
#10612948	2
#10612946	2
#10612793	2
#10612783	2
#10612267	2
D₅×#463	2
#10612249	2
#10612248	2
#10612161	2
#10612150	2
#10611658	2
#10611649	2
#10611380	2
C₄×#4060	2
#10611361	2
#10611360	2
#10611319	2
#10611303	2
#61343	5