Subgroups — #12979883

Order 1280.

1826 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618916	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#554	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3388	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615426	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615364	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613708	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613707	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613701	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613695	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613650	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613643	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612962	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612962	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612954	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612952	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612897	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612897	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612894	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612887	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612791	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612786	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612743	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612739	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611710	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611693	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611504	C₂	1	1	yes	maximal, characteristic
27	#10611504	C₂	1	1	yes	maximal, characteristic
28	#10611493	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611490	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#4060	C₂	1	1	yes	maximal, characteristic
31	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic, complemented
33	C₅×#554	C₂²	1	1	yes	characteristic
34	C₂×#4060	C₂²	1	1	yes	characteristic
35	#66064	C₂²	1	1	yes	characteristic
36	#66062	—	2	1	no	—
37	#66062	C₂²	1	1	yes	characteristic
38	#66061	—	2	1	no	—
39	#66061	C₂²	1	1	yes	characteristic, complemented
40	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
41	#66024	—	2	1	no	—
42	#66024	—	2	1	no	—
43	#66024	C₂²	1	1	yes	characteristic
44	#66024	C₂²	1	1	yes	characteristic
45	#66024	C₂²	1	1	yes	characteristic, complemented
46	#66024	C₂²	1	1	yes	characteristic, complemented
47	#66022	—	2	1	no	—
48	#66022	—	2	1	no	—
49	#66022	C₂²	1	1	yes	characteristic
50	#66022	C₂²	1	1	yes	characteristic
51	D₅×#125	C₂²	1	1	yes	characteristic
52	D₅×#125	C₂²	1	1	yes	characteristic
53	#65970	—	2	1	no	—
54	#65970	—	2	1	no	—
55	#65969	—	2	1	no	—
56	D₅×C₂²⋊Q₈	—	2	1	no	—
57	D₅×C₂²⋊Q₈	—	2	1	no	—
58	D₅×C₂²⋊Q₈	—	2	1	no	—
59	#65913	—	2	1	no	—
60	#65913	C₂²	1	1	yes	characteristic
61	#65913	C₂²	1	1	yes	characteristic, complemented
62	C₄×#713	C₂²	1	1	yes	characteristic
63	C₄×#713	C₂²	1	1	yes	characteristic
64	C₄×#713	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₅	—	2	1	no	—
66	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
67	#65903	C₂²	1	1	yes	characteristic, complemented
68	#65903	C₂²	1	1	yes	characteristic, complemented
69	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
70	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
71	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	#65877	C₂²	1	1	yes	characteristic
74	#65873	C₂²	1	1	yes	characteristic
75	#65873	C₂²	1	1	yes	characteristic
76	#65845	—	2	1	no	—
77	C₂×D₅×C₄⋊C₄	—	2	1	no	—
78	C₅×#501	C₂²	1	1	yes	characteristic, complemented
79	C₅×#501	C₂²	1	1	yes	characteristic, complemented
80	C₅×#499	C₂²	1	1	yes	characteristic, complemented
81	C₅×#479	C₂²	1	1	yes	characteristic, complemented
82	C₅×#479	C₂²	1	1	yes	characteristic, complemented
83	C₅×#478	C₂²	1	1	yes	characteristic
84	C₅×#478	C₂²	1	1	yes	characteristic
85	C₅×#476	C₂²	1	1	yes	characteristic
86	C₅×#475	C₂²	1	1	yes	characteristic, complemented
87	C₅×#446	C₂²	1	1	yes	characteristic, complemented
88	C₅×#440	C₂²	1	1	yes	characteristic
89	C₅×#440	C₂²	1	1	yes	characteristic
90	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
91	#65453	C₂²	1	1	yes	characteristic
92	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
93	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
94	#65376	C₂²	1	1	yes	characteristic, complemented
95	#65373	C₂²	1	1	yes	characteristic
96	#65369	C₂²	1	1	yes	characteristic, complemented
97	#65369	C₂²	1	1	yes	characteristic, complemented
98	#65355	C₂²	1	1	yes	characteristic
99	#65355	C₂²	1	1	yes	characteristic
100	#65355	C₂²	1	1	yes	characteristic, complemented
101	#65355	C₂²	1	1	yes	characteristic, complemented
102	#65354	C₂²	1	1	yes	characteristic, complemented
103	#65354	C₂²	1	1	yes	characteristic, complemented
104	#65353	C₂²	1	1	yes	characteristic, complemented
105	#65353	C₂²	1	1	yes	characteristic, complemented
106	#65315	C₂²	1	1	yes	characteristic
107	#65315	C₂²	1	1	yes	characteristic
108	C₄×#688	C₂²	1	1	yes	characteristic
109	#65313	C₂²	1	1	yes	characteristic, complemented
110	#65311	C₂²	1	1	yes	characteristic, complemented
111	#65311	C₂²	1	1	yes	characteristic, complemented
112	#65309	C₂²	1	1	yes	characteristic, complemented
113	#65303	C₂²	1	1	yes	characteristic
114	#65303	C₂²	1	1	yes	characteristic
115	C₄×#686	C₂²	1	1	yes	characteristic
116	#65298	C₂²	1	1	yes	characteristic
117	#65298	C₂²	1	1	yes	characteristic
118	#65296	C₂²	1	1	yes	characteristic
119	#65180	C₂²	1	1	yes	characteristic, complemented
120	#65180	C₂²	1	1	yes	characteristic, complemented
121	#65179	C₂²	1	1	yes	characteristic
122	#65179	C₂²	1	1	yes	characteristic
123	#65170	C₂²	1	1	yes	characteristic
124	#65170	C₂²	1	1	yes	characteristic
125	#65170	C₂²	1	1	yes	characteristic
126	#65170	C₂²	1	1	yes	characteristic
127	#65167	C₂²	1	1	yes	characteristic, complemented
128	#65167	C₂²	1	1	yes	characteristic, complemented
129	#65165	C₂²	1	1	yes	characteristic, complemented
130	#65165	C₂²	1	1	yes	characteristic, complemented
131	#65163	C₂²	1	1	yes	characteristic, complemented
132	#65163	C₂²	1	1	yes	characteristic, complemented
133	#65161	C₂²	1	1	yes	characteristic
134	#65161	C₂²	1	1	yes	characteristic
135	#65160	C₂²	1	1	yes	characteristic
136	#65160	C₂²	1	1	yes	characteristic
137	#65160	C₂²	1	1	yes	characteristic, complemented
138	#65160	C₂²	1	1	yes	characteristic, complemented
139	#65159	C₂²	1	1	yes	characteristic
140	#65159	C₂²	1	1	yes	characteristic
141	#65159	C₂²	1	1	yes	characteristic, complemented
142	#65159	C₂²	1	1	yes	characteristic, complemented
143	#65158	C₂²	1	1	yes	characteristic
144	#65150	C₂²	1	1	yes	characteristic
145	#65150	C₂²	1	1	yes	characteristic
146	#65150	C₂²	1	1	yes	characteristic
147	#65150	C₂²	1	1	yes	characteristic
148	#65150	C₂²	1	1	yes	characteristic
149	#65147	C₂²	1	1	yes	characteristic, complemented
150	#65147	C₂²	1	1	yes	characteristic, complemented
151	#65145	C₂²	1	1	yes	characteristic, complemented
152	#65145	C₂²	1	1	yes	characteristic, complemented
153	#65144	C₂²	1	1	yes	characteristic, complemented
154	#65144	C₂²	1	1	yes	characteristic, complemented
155	#65136	C₂²	1	1	yes	characteristic
156	#65136	C₂²	1	1	yes	characteristic
157	#65136	C₂²	1	1	yes	characteristic, complemented
158	#65136	C₂²	1	1	yes	characteristic, complemented
159	#65135	C₂²	1	1	yes	characteristic
160	#65135	C₂²	1	1	yes	characteristic, complemented
161	#65126	C₂²	1	1	yes	characteristic
162	#65126	C₂²	1	1	yes	characteristic
163	#65126	C₂²	1	1	yes	characteristic
164	#65119	C₂²	1	1	yes	characteristic, complemented
165	#65117	C₂²	1	1	yes	characteristic, complemented
166	#65117	C₂²	1	1	yes	characteristic, complemented
167	#65106	C₂²	1	1	yes	characteristic
168	#65092	C₂²	1	1	yes	characteristic
169	#65092	C₂²	1	1	yes	characteristic
170	#65092	C₂²	1	1	yes	characteristic
171	#65088	C₂²	1	1	yes	characteristic, complemented
172	#65088	C₂²	1	1	yes	characteristic, complemented
173	#65085	C₂²	1	1	yes	characteristic, complemented
174	#65085	C₂²	1	1	yes	characteristic, complemented
175	#65083	C₂²	1	1	yes	characteristic, complemented
176	#65083	C₂²	1	1	yes	characteristic, complemented
177	#65077	C₂²	1	1	yes	characteristic
178	#65077	C₂²	1	1	yes	characteristic
179	#65074	C₂²	1	1	yes	characteristic
180	#65059	C₂²	1	1	yes	characteristic
181	#65059	C₂²	1	1	yes	characteristic
182	#65059	C₂²	1	1	yes	characteristic
183	#65055	C₂²	1	1	yes	characteristic
184	#65055	C₂²	1	1	yes	characteristic
185	#65050	C₂²	1	1	yes	characteristic
186	#65050	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65048	C₂²	1	1	yes	characteristic
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65000	C₂²	1	1	yes	characteristic
192	#65000	C₂²	1	1	yes	characteristic
193	#64996	C₂²	1	1	yes	characteristic
194	#64996	C₂²	1	1	yes	characteristic
195	#64991	C₂²	1	1	yes	characteristic, complemented
196	#64991	C₂²	1	1	yes	characteristic, complemented
197	#64990	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic
200	C₄×#676	C₂²	1	1	yes	characteristic
201	#64972	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61367	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	—	2	1	no	—
207	C₂×Q₈×D₅	D₄	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₅	—	2	1	no	—
210	C₂²×C₄×D₅	—	2	1	no	—
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	—	2	1	no	—
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#125	—	2	1	no	—
217	C₅×#125	—	2	1	no	—
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#125	C₂³	1	1	yes	characteristic
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	—	2	1	no	—
225	C₄×C₅×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×Q₈	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	C₂×C₅×C₄⋊C₄	—	2	1	no	—
234	#4092	—	2	1	no	—
235	#4092	—	2	1	no	—
236	#4092	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	Q₈×Dic₅	—	2	1	no	—
241	Q₈×Dic₅	D₄	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	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	C₂×#688	C₂³	1	1	yes	characteristic
247	D₄×Dic₅	C₂³	1	1	yes	characteristic
248	D₄×Dic₅	C₂³	1	1	yes	characteristic
249	D₄×Dic₅	C₂³	1	1	yes	characteristic
250	C₂×#686	C₂³	1	1	yes	characteristic
251	C₄×C₂²⋊D₅	—	2	1	no	—
252	C₄×C₂²⋊D₅	—	2	1	no	—
253	C₄×C₂²⋊D₅	—	2	1	no	—
254	C₂×C₄⋊Dic₅	—	2	1	no	—
255	#4070	—	2	1	no	—
256	#4070	—	2	1	no	—
257	#4070	—	2	1	no	—
258	C₂×#683	—	2	1	no	—
259	C₂×#683	—	2	1	no	—
260	#4060	Q₈	1	8	yes	complemented
261	C₂×D₄₀	C₂³	1	1	yes	characteristic
262	C₂×#676	C₂³	1	1	yes	characteristic
263	C₂×#676	C₂³	1	1	yes	characteristic
264	C₂×#676	C₂³	1	1	yes	characteristic
265	C₂×#676	C₂³	1	1	yes	characteristic
266	#4043	—	2	1	no	—
267	#4043	—	2	1	no	—
268	#4043	—	2	1	no	—
269	#4043	—	2	1	no	—
270	#4043	—	2	1	no	—
271	#4043	—	2	1	no	—
272	#4042	—	2	1	no	—
273	#4042	—	2	1	no	—
274	#4042	—	2	1	no	—
275	#4042	—	2	1	no	—
276	#4042	—	2	1	no	—
277	#4042	—	2	1	no	—
278	#4042	—	2	1	no	—
279	#4042	—	2	1	no	—
280	#4042	—	2	1	no	—
281	#4042	—	2	1	no	—
282	#4042	—	2	1	no	—
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	—	2	1	no	—
290	#4039	—	2	1	no	—
291	#4039	—	2	1	no	—
292	#4039	—	2	1	no	—
293	#4039	C₂³	1	1	yes	characteristic
294	#4039	C₂³	1	1	yes	characteristic
295	#4039	C₂³	1	1	yes	characteristic
296	#4039	C₂³	1	1	yes	characteristic
297	#4039	C₂³	1	1	yes	characteristic
298	#4039	C₂³	1	1	yes	characteristic
299	#4038	—	2	1	no	—
300	#4038	—	2	1	no	—
301	#4038	—	2	1	no	—
302	#4038	C₂³	1	1	yes	characteristic
303	#4038	C₂³	1	1	yes	characteristic
304	#4038	C₂³	1	1	yes	characteristic
305	D₅×C₄⋊C₄	—	2	1	no	—
306	D₅×C₄⋊C₄	—	2	1	no	—
307	D₅×C₄⋊C₄	—	2	1	no	—
308	D₅×C₄⋊C₄	—	2	1	no	—
309	D₅×C₄⋊C₄	—	2	1	no	—
310	D₅×C₄⋊C₄	—	2	1	no	—
311	D₅×C₄⋊C₄	—	2	1	no	—
312	D₅×C₄⋊C₄	—	2	1	no	—
313	D₅×C₄⋊C₄	—	2	1	no	—
314	D₅×C₄⋊C₄	—	2	1	no	—
315	D₅×C₄⋊C₄	—	2	1	no	—
316	D₅×C₄⋊C₄	—	2	1	no	—
317	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
318	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
319	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
320	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	#4036	—	2	1	no	—
324	#4036	—	2	1	no	—
325	#4036	C₂³	1	1	yes	characteristic
326	#4036	C₂³	1	1	yes	characteristic
327	#4036	C₂³	1	1	yes	characteristic
328	#4036	C₂³	1	1	yes	characteristic
329	#4036	C₂³	1	1	yes	characteristic
330	#4036	C₂³	1	1	yes	characteristic
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4034	—	2	1	no	—
336	#4034	—	2	1	no	—
337	#4034	—	2	1	no	—
338	#4034	—	2	1	no	—
339	#4034	—	2	1	no	—
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	#4034	C₂³	1	1	yes	characteristic
345	#4034	C₂³	1	1	yes	characteristic
346	#4033	—	2	1	no	—
347	#4033	—	2	1	no	—
348	#4033	—	2	1	no	—
349	#4033	—	2	1	no	—
350	#4033	—	2	1	no	—
351	#4033	D₄	1	1	yes	characteristic
352	#4033	D₄	1	1	yes	characteristic
353	#4033	D₄	1	1	yes	characteristic
354	#4027	—	2	1	no	—
355	#4027	—	2	1	no	—
356	#4027	—	2	1	no	—
357	D₅×C₂²⋊C₄	—	2	1	no	—
358	D₅×C₂²⋊C₄	—	2	1	no	—
359	D₅×C₂²⋊C₄	—	2	1	no	—
360	#4024	—	2	1	no	—
361	#4024	—	2	1	no	—
362	#4024	—	2	1	no	—
363	#4024	—	2	1	no	—
364	#4024	—	2	1	no	—
365	#4024	—	2	1	no	—
366	C₄×D₂₀	—	2	1	no	—
367	C₄×D₂₀	—	2	1	no	—
368	C₄×D₂₀	—	2	1	no	—
369	C₄×D₂₀	C₂³	1	1	yes	characteristic
370	C₄×D₂₀	C₂³	1	1	yes	characteristic
371	C₄×D₂₀	C₂³	1	1	yes	characteristic
372	C₄×D₂₀	C₂³	1	1	yes	characteristic
373	C₄×D₂₀	C₂³	1	1	yes	characteristic
374	C₄×D₂₀	C₂³	1	1	yes	characteristic
375	C₄²×D₅	—	2	1	no	—
376	C₄²×D₅	—	2	1	no	—
377	C₄²×D₅	—	2	1	no	—
378	C₄²×D₅	C₂³	1	1	yes	characteristic
379	C₄²×D₅	C₂³	1	1	yes	characteristic
380	C₄²×D₅	C₂³	1	1	yes	characteristic
381	#4016	—	2	1	no	—
382	#4016	—	2	1	no	—
383	#4016	C₂³	1	1	yes	characteristic
384	#4016	C₂³	1	1	yes	characteristic
385	#4016	C₂³	1	1	yes	characteristic
386	#4016	C₂³	1	1	yes	characteristic
387	#4015	—	2	1	no	—
388	#4015	C₂³	1	1	yes	characteristic
389	#4015	C₂³	1	1	yes	characteristic
390	C₄×Dic₁₀	—	2	1	no	—
391	C₄×Dic₁₀	—	2	1	no	—
392	C₄×Dic₁₀	—	2	1	no	—
393	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
395	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
396	C₅×#107	C₂³	1	1	yes	characteristic
397	C₅×#107	C₂³	1	1	yes	characteristic
398	C₅×#107	C₂³	1	1	yes	characteristic
399	C₅×#107	C₂³	1	1	yes	characteristic
400	C₅×#106	C₂³	1	1	yes	characteristic
401	C₅×#106	C₂³	1	1	yes	characteristic
402	C₅×#106	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×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#97	C₂³	1	1	yes	characteristic
415	C₅×#97	C₂³	1	1	yes	characteristic
416	C₄×C₅×C₈	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	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3953	C₂³	1	1	yes	characteristic
424	#3953	C₂³	1	1	yes	characteristic
425	#3953	C₂³	1	1	yes	characteristic
426	#3953	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3950	C₂³	1	1	yes	characteristic
430	#3950	C₂³	1	1	yes	characteristic
431	#3950	C₂³	1	1	yes	characteristic
432	#3950	C₂³	1	1	yes	characteristic
433	#3950	C₂³	1	1	yes	characteristic
434	#3949	C₂³	1	1	yes	characteristic
435	#3949	C₂³	1	1	yes	characteristic
436	#3949	C₂³	1	1	yes	characteristic
437	#3949	C₂³	1	1	yes	characteristic
438	#3947	C₂³	1	1	yes	characteristic
439	#3947	C₂³	1	1	yes	characteristic
440	#3946	C₂³	1	1	yes	characteristic
441	#3946	C₂³	1	1	yes	characteristic
442	#3946	C₂³	1	1	yes	characteristic
443	#3946	C₂³	1	1	yes	characteristic
444	#3946	C₂³	1	1	yes	characteristic
445	#3946	C₂³	1	1	yes	characteristic
446	C₈×Dic₅	C₂³	1	1	yes	characteristic
447	C₈×Dic₅	C₂³	1	1	yes	characteristic
448	C₈×Dic₅	C₂³	1	1	yes	characteristic
449	C₈×Dic₅	C₂³	1	1	yes	characteristic
450	#3941	C₂³	1	1	yes	characteristic
451	#3941	C₂³	1	1	yes	characteristic
452	#3941	C₂³	1	1	yes	characteristic
453	#3941	C₂³	1	1	yes	characteristic
454	#3941	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3940	C₂³	1	1	yes	characteristic
457	#3940	C₂³	1	1	yes	characteristic
458	#3940	C₂³	1	1	yes	characteristic
459	#3940	C₂³	1	1	yes	characteristic
460	#3940	C₂³	1	1	yes	characteristic
461	#3940	C₂³	1	1	yes	characteristic
462	#3940	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3939	C₂³	1	1	yes	characteristic
466	#3939	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	C₄⋊#168	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	#3935	C₂³	1	1	yes	characteristic
479	C₄×#168	C₂³	1	1	yes	characteristic
480	Q₈×#41	—	5	1	no	—
481	C₂×#554	—	5	1	no	—
482	#3389	—	5	1	no	—
483	#3389	—	5	1	no	—
484	#3389	—	5	1	no	—
485	#3389	—	5	1	no	—
486	#3388	—	5	1	no	—
487	#3388	—	5	1	no	—
488	#3388	—	5	1	no	—
489	#3388	D₅	1	1	yes	characteristic, complemented
490	#3385	—	5	1	no	—
491	#3385	—	5	1	no	—
492	#3384	—	5	1	no	—
493	#3384	—	5	1	no	—
494	#3381	—	5	1	no	—
495	#3381	—	5	1	no	—
496	#3380	—	5	1	no	—
497	#3380	—	5	1	no	—
498	#3166	—	5	1	no	—
499	#3166	—	5	1	no	—
500	#3165	—	5	1	no	—
501	#3080	—	5	1	no	—
502	#3080	—	5	1	no	—
503	#3079	—	5	1	no	—
504	#3077	—	5	1	no	—
505	#3077	—	5	1	no	—
506	#3077	—	5	1	no	—
507	Q₈×M₁₆	—	5	1	no	—
508	C₄×AGL(1,ℤ/8)	—	5	1	no	—
509	C₄×AGL(1,ℤ/8)	—	5	1	no	—
510	C₄×AGL(1,ℤ/8)	—	5	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂×C₅×Q₈	—	2	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₅	—	2	1	no	—
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂×C₂²⋊D₅	—	2	1	no	—
521	C₂²×Dic₅	—	2	1	no	—
522	C₂²×Dic₅	—	2	1	no	—
523	C₂²×Dic₅	—	2	1	no	—
524	#713	—	2	2	no	—
525	#713	C₂×Q₈	1	4	yes	—
526	Q₈×D₅	—	4	2	no	—
527	Q₈×D₅	—	4	4	no	—
528	Q₈×D₅	—	8	2	no	—
529	D₄×D₅	—	2	2	no	—
530	D₄×D₅	C₂×Q₈	1	4	yes	complemented
531	C₂×D₂₀	—	2	1	no	—
532	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
533	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
534	C₂×C₄×D₅	—	2	1	no	—
535	C₂×C₄×D₅	—	2	1	no	—
536	C₂×C₄×D₅	—	2	1	no	—
537	C₂×C₄×D₅	—	2	1	no	—
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	—	2	1	no	—
550	C₂×C₄×D₅	—	4	4	no	—
551	C₂×C₄×D₅	—	8	2	no	—
552	C₂×C₄×D₅	—	8	2	no	—
553	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
558	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
570	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
571	C₅×SD₁₆	C₂×Q₈	1	4	yes	complemented
572	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	—	2	1	no	—
603	C₄²×C₅	—	2	1	no	—
604	C₄²×C₅	C₂⁴	1	1	yes	characteristic
605	C₄²×C₅	C₂⁴	1	1	yes	characteristic
606	C₄²×C₅	C₂⁴	1	1	yes	characteristic
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	#688	C₂×Q₈	1	4	yes	complemented
611	#686	C₂×Q₈	1	4	yes	complemented
612	#685	—	2	1	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	—	2	1	no	—
626	#685	—	2	1	no	—
627	C₄⋊Dic₅	—	2	1	no	—
628	C₄⋊Dic₅	—	2	1	no	—
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
645	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
683	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
685	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
686	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
690	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
691	C₂×#168	C₂⁴	1	1	yes	characteristic
692	C₂×#168	C₂⁴	1	1	yes	characteristic
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	D₄₀	C₂×Q₈	1	4	yes	complemented
696	#676	—	2	2	no	—
697	#676	—	2	2	no	—
698	#676	—	2	2	no	—
699	#676	C₂×Q₈	1	4	yes	complemented
700	C₂×AGL(1,ℤ/8)	—	5	1	no	—
701	Q₈²	—	5	1	no	—
702	#557	—	5	1	no	—
703	#557	—	5	1	no	—
704	#557	C₂×D₅	1	1	yes	characteristic, complemented
705	#554	—	5	1	no	—
706	#554	—	5	1	no	—
707	#554	—	5	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	—	5	1	no	—
715	#554	—	10	1	no	—
716	#554	—	10	1	no	—
717	#554	—	10	1	no	—
718	#554	—	10	1	no	—
719	#554	—	10	1	no	—
720	#554	—	10	1	no	—
721	#554	—	10	1	no	—
722	#554	C₂×D₅	1	1	yes	characteristic
723	D₄×Q₈	—	5	1	no	—
724	D₄×Q₈	—	10	1	no	—
725	#533	—	5	1	no	—
726	#533	—	5	1	no	—
727	#533	—	5	1	no	—
728	#533	—	10	1	no	—
729	#533	—	10	1	no	—
730	#533	—	10	1	no	—
731	C₂×C₄⋊Q₈	—	5	1	no	—
732	C₂×#125	—	5	1	no	—
733	C₂×#125	—	5	1	no	—
734	C₂×C₂²⋊Q₈	—	10	1	no	—
735	C₂×C₂²⋊Q₈	—	10	1	no	—
736	C₂×C₂²⋊Q₈	—	10	1	no	—
737	C₄×#41	—	5	1	no	—
738	C₄×#41	—	5	1	no	—
739	C₄×#41	—	5	1	no	—
740	C₂×C₄×Q₈	—	5	1	no	—
741	C₂×C₄×Q₈	—	10	1	no	—
742	C₂×C₄×D₄	—	5	1	no	—
743	C₂×C₄×D₄	—	5	1	no	—
744	C₂×C₄×D₄	—	5	1	no	—
745	C₂²×C₄⋊C₄	—	10	1	no	—
746	#501	—	5	1	no	—
747	#501	—	5	1	no	—
748	#501	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#501	—	5	1	no	—
752	#501	—	5	1	no	—
753	#501	—	5	1	no	—
754	#501	—	5	1	no	—
755	#501	—	5	1	no	—
756	#501	C₂×D₅	1	1	yes	characteristic, complemented
757	#501	C₂×D₅	1	1	yes	characteristic, complemented
758	#500	—	5	1	no	—
759	#500	—	5	1	no	—
760	#499	—	5	1	no	—
761	#499	—	5	1	no	—
762	#499	—	5	1	no	—
763	#499	—	5	1	no	—
764	#499	—	5	1	no	—
765	#499	—	5	1	no	—
766	#499	—	5	1	no	—
767	#499	C₂×D₅	1	1	yes	characteristic, complemented
768	#498	—	5	1	no	—
769	#498	—	5	1	no	—
770	#479	—	5	1	no	—
771	#479	—	5	1	no	—
772	#479	—	5	1	no	—
773	#479	—	5	1	no	—
774	#479	—	5	1	no	—
775	#479	—	5	1	no	—
776	#479	C₂×D₅	1	1	yes	characteristic, complemented
777	#479	C₂×D₅	1	1	yes	characteristic, complemented
778	#478	—	5	1	no	—
779	#478	—	5	1	no	—
780	#478	—	5	1	no	—
781	#478	—	5	1	no	—
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
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	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	C₂×D₅	1	1	yes	characteristic
797	#478	C₂×D₅	1	1	yes	characteristic
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#476	—	5	1	no	—
807	#476	C₂×D₅	1	1	yes	characteristic
808	#475	—	5	1	no	—
809	#475	C₂×D₅	1	1	yes	characteristic, complemented
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#474	—	5	1	no	—
815	#474	—	5	1	no	—
816	#474	—	5	1	no	—
817	#474	—	5	1	no	—
818	#446	—	5	1	no	—
819	#446	—	5	1	no	—
820	#446	—	5	1	no	—
821	#446	—	5	1	no	—
822	#446	—	5	1	no	—
823	#446	C₂×D₅	1	1	yes	characteristic, complemented
824	C₈×Q₈	—	5	1	no	—
825	C₈×Q₈	—	5	1	no	—
826	#442	—	5	1	no	—
827	#442	—	5	1	no	—
828	#442	—	5	1	no	—
829	#442	—	5	1	no	—
830	#442	—	5	1	no	—
831	#442	—	5	1	no	—
832	#440	—	5	1	no	—
833	#440	—	5	1	no	—
834	#440	—	5	1	no	—
835	#440	—	5	1	no	—
836	#440	C₂×D₅	1	1	yes	characteristic
837	#440	C₂×D₅	1	1	yes	characteristic
838	C₄×SD₁₆	—	5	1	no	—
839	C₄×SD₁₆	—	5	1	no	—
840	C₄×SD₁₆	—	5	1	no	—
841	C₄×SD₁₆	—	5	1	no	—
842	C₄×SD₁₆	—	5	1	no	—
843	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
844	C₄×D₈	—	5	1	no	—
845	C₄×D₈	—	5	1	no	—
846	C₄×D₈	—	5	1	no	—
847	C₄×D₈	—	5	1	no	—
848	C₄×D₈	—	5	1	no	—
849	C₄×D₈	—	5	1	no	—
850	#428	—	5	1	no	—
851	#428	—	5	1	no	—
852	#428	—	5	1	no	—
853	#428	—	5	1	no	—
854	#428	—	5	1	no	—
855	#428	—	5	1	no	—
856	#428	—	5	1	no	—
857	#428	—	5	1	no	—
858	#428	—	5	1	no	—
859	#423	—	5	1	no	—
860	#423	—	5	1	no	—
861	#423	—	5	1	no	—
862	#418	—	5	1	no	—
863	#418	—	5	1	no	—
864	#418	—	5	1	no	—
865	#417	—	5	1	no	—
866	#417	—	5	1	no	—
867	#417	—	5	1	no	—
868	C₄×M₁₆	—	5	1	no	—
869	C₄×M₁₆	—	5	1	no	—
870	C₄×M₁₆	—	5	1	no	—
871	C₂³×C₅	—	2	1	no	—
872	C₂²×D₅	—	2	1	no	—
873	C₂²×D₅	—	2	1	no	—
874	C₂²×D₅	—	2	4	no	—
875	C₂²×D₅	—	4	2	no	—
876	C₂²×D₅	—	4	2	no	—
877	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
878	C₅×Q₈	—	2	1	no	—
879	C₅×Q₈	—	4	1	no	—
880	C₅×Q₈	—	4	2	no	—
881	C₅×Q₈	—	8	1	no	—
882	C₅×Q₈	C₂²×Q₈	1	2	yes	—
883	C₅×D₄	—	2	1	no	—
884	C₅×D₄	C₂²×Q₈	1	2	yes	—
885	C₂×C₄×C₅	—	2	1	no	—
886	C₂×C₄×C₅	—	2	1	no	—
887	C₂×C₄×C₅	—	2	1	no	—
888	C₂×C₄×C₅	—	2	1	no	—
889	C₂×C₄×C₅	—	2	1	no	—
890	C₂×C₄×C₅	—	2	1	no	—
891	C₂×C₄×C₅	—	2	1	no	—
892	C₂×C₄×C₅	—	4	2	no	—
893	C₂×C₄×C₅	—	8	1	no	—
894	C₂×C₄×C₅	—	8	1	no	—
895	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
896	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
897	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
898	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
899	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
900	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
902	C₂²⋊D₅	—	2	4	no	—
903	C₂×Dic₅	—	2	1	no	—
904	C₂×Dic₅	—	2	1	no	—
905	C₂×Dic₅	—	2	1	no	—
906	C₂×Dic₅	—	2	1	no	—
907	C₂×Dic₅	—	2	1	no	—
908	C₂×Dic₅	—	2	1	no	—
909	C₂×Dic₅	—	4	2	no	—
910	C₂×Dic₅	—	8	1	no	—
911	C₂×Dic₅	—	8	1	no	—
912	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
913	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
919	D₂₀	—	2	4	no	—
920	D₂₀	—	2	1	no	—
921	D₂₀	—	2	1	no	—
922	D₂₀	C₂²×Q₈	1	2	yes	—
923	D₂₀	C₂²×Q₈	1	2	yes	—
924	C₄×D₅	—	2	4	no	—
925	C₄×D₅	—	2	2	no	—
926	C₄×D₅	—	4	1	no	—
927	C₄×D₅	—	4	1	no	—
928	C₄×D₅	—	4	1	no	—
929	C₄×D₅	—	4	1	no	—
930	C₄×D₅	—	4	1	no	—
931	C₄×D₅	—	4	2	no	—
932	C₄×D₅	—	4	2	no	—
933	C₄×D₅	—	4	2	no	—
934	C₄×D₅	—	4	2	no	—
935	C₄×D₅	—	4	2	no	—
936	C₄×D₅	—	4	2	no	—
937	C₄×D₅	—	4	2	no	—
938	C₄×D₅	—	4	2	no	—
939	C₄×D₅	—	8	1	no	—
940	C₄×D₅	—	8	1	no	—
941	C₄×D₅	—	8	1	no	—
942	C₄×D₅	—	8	1	no	—
943	C₄×D₅	—	8	1	no	—
944	C₄×D₅	—	8	1	no	—
945	C₄×D₅	—	8	1	no	—
946	C₄×D₅	C₂²×Q₈	1	2	yes	—
947	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
948	Dic₁₀	—	2	2	no	—
949	Dic₁₀	—	2	2	no	—
950	Dic₁₀	—	4	1	no	—
951	Dic₁₀	—	4	2	no	—
952	Dic₁₀	—	4	2	no	—
953	Dic₁₀	—	8	1	no	—
954	Dic₁₀	—	8	1	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	C₂²×Q₈	1	2	yes	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	#168	C₂²×Q₈	1	2	yes	—
967	C₂×#41	—	5	1	no	—
968	C₂²×Q₈	—	5	1	no	—
969	C₂²×Q₈	—	10	1	no	—
970	C₂²×Q₈	—	10	1	no	—
971	C₂²×D₄	—	5	1	no	—
972	C₂³×C₄	—	10	1	no	—
973	C₂³×C₄	—	10	1	no	—
974	C₂³×C₄	—	10	1	no	—
975	AGL(1,ℤ/8)	—	5	8	no	—
976	C₂×SD₁₆	—	5	1	no	—
977	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
978	C₂×D₈	—	5	1	no	—
979	C₂×D₈	—	5	1	no	—
980	C₂×M₁₆	—	5	1	no	—
981	C₂×M₁₆	—	5	1	no	—
982	C₂×M₁₆	—	5	1	no	—
983	C₂×M₁₆	—	5	1	no	—
984	C₄⋊Q₈	—	2	1	no	—
985	C₄⋊Q₈	—	5	1	no	—
986	C₄⋊Q₈	—	5	1	no	—
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	—	10	1	no	—
998	C₄⋊Q₈	—	10	1	no	—
999	C₄⋊Q₈	—	10	1	no	—
1000	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1001	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1002	#125	—	2	1	no	—
1003	#125	—	2	1	no	—
1004	#125	—	5	1	no	—
1005	#125	—	5	1	no	—
1006	#125	—	5	1	no	—
1007	#125	—	5	1	no	—
1008	#125	—	5	1	no	—
1009	#125	—	5	1	no	—
1010	#125	—	5	1	no	—
1011	#125	—	5	1	no	—
1012	#125	—	5	1	no	—
1013	#125	—	5	1	no	—
1014	#125	—	10	1	no	—
1015	#125	—	10	1	no	—
1016	#125	—	10	1	no	—
1017	#125	—	10	1	no	—
1018	#125	—	10	1	no	—
1019	#125	—	10	1	no	—
1020	#125	—	10	1	no	—
1021	#125	—	10	1	no	—
1022	#125	C₂²×D₅	1	1	yes	characteristic
1023	#125	C₂²×D₅	1	1	yes	characteristic
1024	#125	C₂²×D₅	1	1	yes	characteristic
1025	#125	C₂²×D₅	1	1	yes	characteristic
1026	C₂²⋊Q₈	—	2	1	no	—
1027	C₂²⋊Q₈	—	2	1	no	—
1028	C₂²⋊Q₈	—	2	1	no	—
1029	C₂²⋊Q₈	—	10	1	no	—
1030	C₂²⋊Q₈	—	10	1	no	—
1031	C₂²⋊Q₈	—	10	1	no	—
1032	C₂²⋊Q₈	—	10	1	no	—
1033	C₂²⋊Q₈	—	10	1	no	—
1034	C₂²⋊Q₈	—	10	1	no	—
1035	C₂²⋊Q₈	—	10	1	no	—
1036	C₂²⋊Q₈	—	10	1	no	—
1037	C₂²⋊Q₈	—	10	1	no	—
1038	C₂²⋊Q₈	—	10	1	no	—
1039	C₂²⋊Q₈	—	10	1	no	—
1040	C₂²⋊Q₈	—	10	1	no	—
1041	C₂²⋊Q₈	—	10	1	no	—
1042	C₂²⋊Q₈	—	10	1	no	—
1043	C₂²⋊Q₈	—	10	1	no	—
1044	C₂²⋊Q₈	—	10	1	no	—
1045	C₂²⋊Q₈	—	10	1	no	—
1046	C₂²⋊Q₈	—	10	1	no	—
1047	C₂²⋊Q₈	—	10	1	no	—
1048	C₂²⋊Q₈	—	10	1	no	—
1049	C₂²⋊Q₈	—	10	1	no	—
1050	C₂²⋊Q₈	—	10	1	no	—
1051	C₂²⋊Q₈	—	10	1	no	—
1052	C₂²⋊Q₈	—	10	1	no	—
1053	C₂²⋊Q₈	—	10	1	no	—
1054	C₂²⋊Q₈	—	10	1	no	—
1055	C₂²⋊Q₈	—	10	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₄×Q₈	—	2	1	no	—
1069	C₄×Q₈	—	5	1	no	—
1070	C₄×Q₈	—	5	1	no	—
1071	C₄×Q₈	—	5	1	no	—
1072	C₄×Q₈	—	5	1	no	—
1073	C₄×Q₈	—	5	1	no	—
1074	C₄×Q₈	—	5	1	no	—
1075	C₄×Q₈	—	5	1	no	—
1076	C₄×Q₈	—	5	1	no	—
1077	C₄×Q₈	—	5	1	no	—
1078	C₄×Q₈	—	5	1	no	—
1079	C₄×Q₈	—	10	1	no	—
1080	C₄×Q₈	—	10	1	no	—
1081	C₄×Q₈	—	10	1	no	—
1082	C₄×Q₈	—	10	1	no	—
1083	C₄×Q₈	—	10	1	no	—
1084	C₄×Q₈	—	10	1	no	—
1085	C₄×Q₈	—	10	1	no	—
1086	C₄×Q₈	—	10	1	no	—
1087	C₄×Q₈	—	10	1	no	—
1088	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1089	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1090	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1091	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1092	C₄×D₄	—	5	1	no	—
1093	C₄×D₄	—	5	1	no	—
1094	C₄×D₄	—	5	1	no	—
1095	C₄×D₄	—	5	1	no	—
1096	C₄×D₄	—	5	1	no	—
1097	C₄×D₄	—	5	1	no	—
1098	C₄×D₄	—	5	1	no	—
1099	C₄×D₄	—	5	1	no	—
1100	C₄×D₄	—	5	1	no	—
1101	C₄×D₄	—	5	1	no	—
1102	C₄×D₄	—	5	1	no	—
1103	C₄×D₄	—	5	1	no	—
1104	C₄×D₄	—	5	1	no	—
1105	C₄×D₄	—	5	1	no	—
1106	C₄×D₄	—	5	1	no	—
1107	C₄×D₄	—	10	1	no	—
1108	C₄×D₄	—	10	1	no	—
1109	C₄×D₄	—	10	1	no	—
1110	C₄×D₄	—	10	1	no	—
1111	C₄×D₄	—	10	1	no	—
1112	C₄×D₄	—	10	1	no	—
1113	C₄×D₄	—	10	1	no	—
1114	C₄×D₄	—	10	1	no	—
1115	C₄×D₄	—	10	1	no	—
1116	C₄×D₄	—	10	1	no	—
1117	C₄×D₄	—	10	1	no	—
1118	C₄×D₄	—	10	1	no	—
1119	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1120	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1121	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1122	#117	—	5	1	no	—
1123	#117	—	5	1	no	—
1124	#117	—	5	1	no	—
1125	#117	—	10	1	no	—
1126	#117	—	10	1	no	—
1127	#117	—	10	1	no	—
1128	C₂×C₄⋊C₄	—	2	1	no	—
1129	C₂×C₄⋊C₄	—	5	1	no	—
1130	C₂×C₄⋊C₄	—	5	1	no	—
1131	C₂×C₄⋊C₄	—	5	1	no	—
1132	C₂×C₄⋊C₄	—	5	1	no	—
1133	C₂×C₄⋊C₄	—	5	1	no	—
1134	C₂×C₄⋊C₄	—	5	1	no	—
1135	C₂×C₄⋊C₄	—	10	1	no	—
1136	C₂×C₄⋊C₄	—	10	1	no	—
1137	C₂×C₄⋊C₄	—	10	1	no	—
1138	C₂×C₄⋊C₄	—	10	1	no	—
1139	C₂×C₄⋊C₄	—	10	1	no	—
1140	C₂×C₄⋊C₄	—	10	1	no	—
1141	C₂×C₄⋊C₄	—	10	1	no	—
1142	C₂×C₄⋊C₄	—	10	1	no	—
1143	C₂×C₄⋊C₄	—	10	1	no	—
1144	C₂×C₄⋊C₄	—	10	1	no	—
1145	C₂×C₄⋊C₄	—	10	1	no	—
1146	C₂×C₄⋊C₄	—	10	1	no	—
1147	C₂×C₄⋊C₄	—	10	1	no	—
1148	C₂×C₄⋊C₄	—	10	1	no	—
1149	C₂×C₄⋊C₄	—	10	1	no	—
1150	C₂×C₂²⋊C₄	—	10	1	no	—
1151	C₂×C₂²⋊C₄	—	10	1	no	—
1152	C₂×C₂²⋊C₄	—	10	1	no	—
1153	C₂×C₄²	—	5	1	no	—
1154	C₂×C₄²	—	5	1	no	—
1155	C₂×C₄²	—	5	1	no	—
1156	C₂×C₄²	—	10	1	no	—
1157	C₂×C₄²	—	10	1	no	—
1158	C₂×C₄²	—	10	1	no	—
1159	#107	—	5	1	no	—
1160	#107	—	5	1	no	—
1161	#107	—	5	1	no	—
1162	#107	—	5	1	no	—
1163	#107	—	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	C₂²×D₅	1	1	yes	characteristic
1174	#107	C₂²×D₅	1	1	yes	characteristic
1175	#107	C₂²×D₅	1	1	yes	characteristic
1176	#107	C₂²×D₅	1	1	yes	characteristic
1177	#106	—	5	1	no	—
1178	#106	—	5	1	no	—
1179	#106	—	5	1	no	—
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	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	C₂²×D₅	1	1	yes	characteristic
1191	#106	C₂²×D₅	1	1	yes	characteristic
1192	#106	C₂²×D₅	1	1	yes	characteristic
1193	#106	C₂²×D₅	1	1	yes	characteristic
1194	#106	C₂²×D₅	1	1	yes	characteristic
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1206	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	C₂²×D₅	1	1	yes	characteristic
1211	#103	C₂²×D₅	1	1	yes	characteristic
1212	#103	C₂²×D₅	1	1	yes	characteristic
1213	#102	—	5	1	no	—
1214	#102	—	5	1	no	—
1215	#102	—	5	1	no	—
1216	#102	—	5	1	no	—
1217	#102	—	5	1	no	—
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	#102	C₂²×D₅	1	1	yes	characteristic
1231	#97	—	5	1	no	—
1232	#97	—	5	1	no	—
1233	#97	—	5	1	no	—
1234	#97	—	5	1	no	—
1235	#97	C₂²×D₅	1	1	yes	characteristic
1236	#97	C₂²×D₅	1	1	yes	characteristic
1237	C₄×C₈	—	5	1	no	—
1238	C₄×C₈	—	5	1	no	—
1239	C₄×C₈	—	5	1	no	—
1240	C₄×C₈	—	5	1	no	—
1241	C₄×C₈	—	5	1	no	—
1242	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1243	C₂²×C₅	—	2	2	no	—
1244	C₂²×C₅	—	4	1	no	—
1245	C₂²×C₅	—	4	1	no	—
1246	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1247	C₂×D₅	—	2	1	no	—
1248	C₂×D₅	—	2	1	no	—
1249	C₂×D₅	—	2	2	no	—
1250	C₂×D₅	—	2	2	no	—
1251	C₂×D₅	—	4	8	no	—
1252	C₂×D₅	—	4	1	no	—
1253	C₂×D₅	—	4	1	no	—
1254	C₂×D₅	—	4	1	no	—
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	D₄×Q₈	1	2	yes	—
1257	C₄×C₅	—	2	1	no	—
1258	C₄×C₅	—	2	1	no	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	2	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	C₂³×Q₈	1	1	yes	characteristic
1271	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	1	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	4	1	no	—
1278	Dic₅	—	4	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	D₄×Q₈	1	2	yes	—
1284	Dic₅	#575	1	2	yes	—
1285	C₂⁴	—	10	1	no	—
1286	#41	—	5	4	no	—
1287	#41	—	10	2	no	—
1288	C₂×Q₈	—	2	1	no	—
1289	C₂×Q₈	—	2	1	no	—
1290	C₂×Q₈	—	5	1	no	—
1291	C₂×Q₈	—	5	1	no	—
1292	C₂×Q₈	—	5	1	no	—
1293	C₂×Q₈	—	10	1	no	—
1294	C₂×Q₈	—	10	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	—	10	1	no	—
1301	C₂×Q₈	—	20	2	no	—
1302	C₂×Q₈	—	20	4	no	—
1303	C₂×Q₈	—	40	2	no	—
1304	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1305	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1306	C₂×D₄	—	5	4	no	—
1307	C₂×D₄	—	5	1	no	—
1308	C₂×D₄	—	5	1	no	—
1309	C₂×D₄	—	10	1	no	—
1310	C₂×D₄	—	10	2	no	—
1311	C₂×D₄	—	10	1	no	—
1312	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1313	C₂²×C₄	—	2	1	no	—
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	5	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	—	5	1	no	—
1322	C₂²×C₄	—	5	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	—	10	1	no	—
1336	C₂²×C₄	—	10	1	no	—
1337	C₂²×C₄	—	10	1	no	—
1338	C₂²×C₄	—	10	1	no	—
1339	C₂²×C₄	—	10	1	no	—
1340	C₂²×C₄	—	10	1	no	—
1341	C₂²×C₄	—	10	1	no	—
1342	C₂²×C₄	—	20	4	no	—
1343	C₂²×C₄	—	40	2	no	—
1344	C₂²×C₄	—	40	2	no	—
1345	SD₁₆	—	5	4	no	—
1346	SD₁₆	Q₈×D₅	1	4	yes	complemented
1347	D₈	—	5	4	no	—
1348	D₈	—	5	4	no	—
1349	M₁₆	—	5	4	no	—
1350	M₁₆	—	10	2	no	—
1351	M₁₆	—	10	2	no	—
1352	M₁₆	—	10	2	no	—
1353	C₂×C₈	—	5	1	no	—
1354	C₂×C₈	—	5	1	no	—
1355	C₂×C₈	—	5	1	no	—
1356	C₂×C₈	—	5	1	no	—
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1360	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	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	—	5	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	1	no	—
1387	C₄⋊C₄	—	5	1	no	—
1388	C₄⋊C₄	—	5	1	no	—
1389	C₄⋊C₄	—	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	—	10	1	no	—
1423	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1428	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	10	1	no	—
1436	C₂²⋊C₄	—	10	1	no	—
1437	C₂²⋊C₄	—	10	1	no	—
1438	C₂²⋊C₄	—	10	1	no	—
1439	C₂²⋊C₄	—	10	1	no	—
1440	C₂²⋊C₄	—	10	1	no	—
1441	C₂²⋊C₄	—	10	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	5	1	no	—
1457	C₄²	—	5	1	no	—
1458	C₄²	—	5	1	no	—
1459	C₄²	—	5	1	no	—
1460	C₄²	—	5	1	no	—
1461	C₄²	—	5	1	no	—
1462	C₄²	—	5	1	no	—
1463	C₄²	—	5	1	no	—
1464	C₄²	—	5	1	no	—
1465	C₄²	—	10	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	—	10	1	no	—
1469	C₄²	—	10	1	no	—
1470	C₄²	—	10	1	no	—
1471	C₄²	C₂³×D₅	1	1	yes	characteristic
1472	C₄²	C₂³×D₅	1	1	yes	characteristic
1473	C₄²	C₂³×D₅	1	1	yes	characteristic
1474	C₂×C₅	—	4	2	no	—
1475	C₂×C₅	C₂×D₄×Q₈	1	1	yes	characteristic
1476	C₂×C₅	C₂×#575	1	1	yes	characteristic
1477	C₂×C₅	#3585	1	1	yes	characteristic
1478	D₅	—	2	2	no	—
1479	D₅	—	4	2	no	—
1480	D₅	—	4	2	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	5	1	no	—
1483	C₂³	—	10	4	no	—
1484	C₂³	—	10	1	no	—
1485	C₂³	—	10	1	no	—
1486	C₂³	—	20	2	no	—
1487	C₂³	—	20	2	no	—
1488	Q₈	—	2	1	no	—
1489	Q₈	—	4	1	no	—
1490	Q₈	—	4	2	no	—
1491	Q₈	—	8	1	no	—
1492	Q₈	—	10	2	no	—
1493	Q₈	—	10	2	no	—
1494	Q₈	—	20	1	no	—
1495	Q₈	—	20	2	no	—
1496	Q₈	—	20	2	no	—
1497	Q₈	—	40	1	no	—
1498	Q₈	—	40	1	no	—
1499	Q₈	—	40	1	no	—
1500	Q₈	—	40	1	no	—
1501	Q₈	—	40	1	no	—
1502	Q₈	—	40	1	no	—
1503	Q₈	C₂×Q₈×D₅	1	2	yes	—
1504	D₄	—	2	1	no	—
1505	D₄	—	5	2	no	—
1506	D₄	—	5	2	no	—
1507	D₄	—	10	4	no	—
1508	D₄	—	10	4	no	—
1509	D₄	—	10	1	no	—
1510	D₄	—	10	1	no	—
1511	D₄	C₂×Q₈×D₅	1	2	yes	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	4	2	no	—
1520	C₂×C₄	—	5	1	no	—
1521	C₂×C₄	—	5	1	no	—
1522	C₂×C₄	—	5	2	no	—
1523	C₂×C₄	—	5	2	no	—
1524	C₂×C₄	—	5	1	no	—
1525	C₂×C₄	—	5	1	no	—
1526	C₂×C₄	—	5	1	no	—
1527	C₂×C₄	—	5	1	no	—
1528	C₂×C₄	—	5	1	no	—
1529	C₂×C₄	—	8	1	no	—
1530	C₂×C₄	—	8	1	no	—
1531	C₂×C₄	—	10	2	no	—
1532	C₂×C₄	—	10	4	no	—
1533	C₂×C₄	—	10	1	no	—
1534	C₂×C₄	—	10	1	no	—
1535	C₂×C₄	—	10	1	no	—
1536	C₂×C₄	—	10	1	no	—
1537	C₂×C₄	—	10	1	no	—
1538	C₂×C₄	—	10	1	no	—
1539	C₂×C₄	—	20	1	no	—
1540	C₂×C₄	—	20	1	no	—
1541	C₂×C₄	—	20	1	no	—
1542	C₂×C₄	—	20	1	no	—
1543	C₂×C₄	—	20	1	no	—
1544	C₂×C₄	—	20	2	no	—
1545	C₂×C₄	—	20	2	no	—
1546	C₂×C₄	—	20	2	no	—
1547	C₂×C₄	—	20	2	no	—
1548	C₂×C₄	—	20	2	no	—
1549	C₂×C₄	—	20	2	no	—
1550	C₂×C₄	—	20	2	no	—
1551	C₂×C₄	—	20	2	no	—
1552	C₂×C₄	—	20	2	no	—
1553	C₂×C₄	—	40	1	no	—
1554	C₂×C₄	—	40	1	no	—
1555	C₂×C₄	—	40	1	no	—
1556	C₂×C₄	—	40	1	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	C₂×D₄×D₅	1	1	yes	characteristic
1563	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1564	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1565	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1566	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1569	C₈	—	2	1	no	—
1570	C₈	—	2	1	no	—
1571	C₈	—	2	1	no	—
1572	C₈	—	5	2	no	—
1573	C₈	—	10	1	no	—
1574	C₈	—	10	1	no	—
1575	C₈	—	10	1	no	—
1576	C₈	C₂×Q₈×D₅	1	2	yes	—
1577	C₅	#61367	1	1	yes	characteristic, complemented, Sylow
1578	C₂²	—	2	2	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	5	2	no	—
1582	C₂²	—	10	1	no	—
1583	C₂²	—	10	1	no	—
1584	C₂²	—	10	2	no	—
1585	C₂²	—	10	2	no	—
1586	C₂²	—	20	8	no	—
1587	C₂²	—	20	1	no	—
1588	C₂²	—	20	1	no	—
1589	C₂²	—	20	1	no	—
1590	C₂²	—	20	1	no	—
1591	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1592	C₄	—	2	2	no	—
1593	C₄	—	2	1	no	—
1594	C₄	—	2	1	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	1	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	5	2	no	—
1606	C₄	—	5	2	no	—
1607	C₄	—	10	1	no	—
1608	C₄	—	10	1	no	—
1609	C₄	—	10	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	20	1	no	—
1613	C₄	—	20	1	no	—
1614	C₄	—	20	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	C₂²×Q₈×D₅	1	1	yes	characteristic
1619	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1620	C₂	—	4	2	no	—
1621	C₂	—	10	2	no	—
1622	C₂	—	20	2	no	—
1623	C₂	—	20	2	no	—
1624	C₂	D₄×Q₈×D₅	1	1	yes	characteristic
1625	C₂	D₅×#575	1	1	yes	characteristic
1626	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×#3388	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	C₂×#4060	C₂²
hypercenter	#3388	D₅
hypocenter	C₅	#61367
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3388

Complements

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

N	H ≅ G/N	type
1. #10618916	C₂	semidirect
2. D₅×#554	C₂	semidirect
3. C₅×#3388	C₂	semidirect
4. #10615426	C₂	semidirect
5. #10615364	C₂	semidirect
6. #10613708	C₂	semidirect
7. #10613707	C₂	semidirect
8. #10613701	C₂	semidirect
9. #10613695	C₂	semidirect
10. #10613650	C₂	semidirect
11. #10613643	C₂	semidirect
12. #10612962	C₂	semidirect
13. #10612962	C₂	semidirect
14. #10612954	C₂	semidirect
15. #10612952	C₂	semidirect
16. #10612897	C₂	semidirect
17. #10612897	C₂	semidirect
18. #10612894	C₂	semidirect
19. #10612887	C₂	semidirect
20. #10612791	C₂	semidirect
21. #10612786	C₂	semidirect
22. #10612743	C₂	semidirect
23. #10612739	C₂	semidirect
24. #10611710	C₂	semidirect
25. #10611693	C₂	semidirect
28. #10611493	C₂	semidirect
29. #10611490	C₂	semidirect
31. #10611364	C₂	semidirect
32. C₅×#557	C₂²	semidirect
39. #66061	C₂²	semidirect
45. #66024	C₂²	semidirect
46. #66024	C₂²	semidirect
61. #65913	C₂²	semidirect
67. #65903	C₂²	semidirect
68. #65903	C₂²	semidirect
69. Q₈×Dic₁₀	C₂²	semidirect
78. C₅×#501	C₂²	semidirect
79. C₅×#501	C₂²	semidirect
80. C₅×#499	C₂²	semidirect
81. C₅×#479	C₂²	semidirect
82. C₅×#479	C₂²	semidirect
86. C₅×#475	C₂²	semidirect
87. C₅×#446	C₂²	semidirect
94. #65376	C₂²	semidirect
96. #65369	C₂²	semidirect
97. #65369	C₂²	semidirect
100. #65355	C₂²	semidirect
101. #65355	C₂²	semidirect
102. #65354	C₂²	semidirect
103. #65354	C₂²	semidirect
104. #65353	C₂²	semidirect
105. #65353	C₂²	semidirect
109. #65313	C₂²	semidirect
110. #65311	C₂²	semidirect
111. #65311	C₂²	semidirect
112. #65309	C₂²	semidirect
119. #65180	C₂²	semidirect
120. #65180	C₂²	semidirect
127. #65167	C₂²	semidirect
128. #65167	C₂²	semidirect
129. #65165	C₂²	semidirect
130. #65165	C₂²	semidirect
131. #65163	C₂²	semidirect
132. #65163	C₂²	semidirect
137. #65160	C₂²	semidirect
138. #65160	C₂²	semidirect
141. #65159	C₂²	semidirect
142. #65159	C₂²	semidirect
149. #65147	C₂²	semidirect
150. #65147	C₂²	semidirect
151. #65145	C₂²	semidirect
152. #65145	C₂²	semidirect
153. #65144	C₂²	semidirect
154. #65144	C₂²	semidirect
157. #65136	C₂²	semidirect
158. #65136	C₂²	semidirect
160. #65135	C₂²	semidirect
164. #65119	C₂²	semidirect
165. #65117	C₂²	semidirect
166. #65117	C₂²	semidirect
171. #65088	C₂²	semidirect
172. #65088	C₂²	semidirect
173. #65085	C₂²	semidirect
174. #65085	C₂²	semidirect
175. #65083	C₂²	semidirect
176. #65083	C₂²	semidirect
195. #64991	C₂²	semidirect
196. #64991	C₂²	semidirect
197. #64990	C₂²	semidirect
198. #64990	C₂²	semidirect
201. #64972	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
260. #4060	Q₈	semidirect
489. #3388	D₅	semidirect
530. D₄×D₅	C₂×Q₈	semidirect
571. C₅×SD₁₆	C₂×Q₈	semidirect
610. #688	C₂×Q₈	semidirect
611. #686	C₂×Q₈	semidirect
695. D₄₀	C₂×Q₈	semidirect
699. #676	C₂×Q₈	semidirect
704. #557	C₂×D₅	semidirect
756. #501	C₂×D₅	semidirect
757. #501	C₂×D₅	semidirect
767. #499	C₂×D₅	semidirect
776. #479	C₂×D₅	semidirect
777. #479	C₂×D₅	semidirect
809. #475	C₂×D₅	semidirect
823. #446	C₂×D₅	semidirect
1346. SD₁₆	Q₈×D₅	semidirect
1577. C₅	#61367	semidirect

Maximal subgroups

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

subgroup	index
#10618916	2
D₅×#554	2
C₅×#3388	2
#10615426	2
#10615364	2
#10613708	2
#10613707	2
#10613701	2
#10613695	2
#10613650	2
#10613643	2
#10612962	2
#10612954	2
#10612952	2
#10612897	2
#10612894	2
#10612887	2
#10612791	2
#10612786	2
#10612743	2
#10612739	2
#10611710	2
#10611693	2
#10611504	2
#10611493	2
#10611490	2
C₄×#4060	2
#10611364	2
#61367	5