Subgroups — #12992559

Order 1280.

1966 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3543	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618062	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615447	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615445	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615320	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615312	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615308	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615303	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615236	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615233	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615227	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615225	C₂	1	1	yes	maximal, characteristic, complemented
13	D₄×#686	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615219	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615219	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615216	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615215	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615213	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615169	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615168	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615166	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615165	C₂	1	1	yes	maximal, characteristic, complemented
23	#10615120	C₂	1	1	yes	maximal, characteristic, complemented
24	#10615119	C₂	1	1	yes	maximal, characteristic, complemented
25	#10615116	C₂	1	1	yes	maximal, characteristic, complemented
26	#10615115	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614898	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#65361	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614880	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614874	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614861	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#560	—	2	1	no	—
33	C₅×#560	—	2	1	no	—
34	C₅×#559	C₂²	1	1	yes	characteristic, complemented
35	C₅×#550	C₂²	1	1	yes	characteristic, complemented
36	C₅×#550	C₂²	1	1	yes	characteristic, complemented
37	C₅×#546	—	2	1	no	—
38	C₅×#546	C₂²	1	1	yes	characteristic
39	C₅×#546	C₂²	1	1	yes	characteristic, complemented
40	C₅×D₄²	—	2	1	no	—
41	C₅×D₄²	C₂²	1	1	yes	characteristic
42	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
43	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
44	C₅×#540	—	2	1	no	—
45	C₅×#540	C₂²	1	1	yes	characteristic, complemented
46	C₅×#540	C₂²	1	1	yes	characteristic, complemented
47	C₅×#535	—	2	1	no	—
48	C₅×#535	C₂²	1	1	yes	characteristic, complemented
49	C₅×#535	C₂²	1	1	yes	characteristic, complemented
50	C₅×#534	—	2	1	no	—
51	C₅×#534	—	2	1	no	—
52	C₂×C₅×#127	C₂²	1	1	yes	characteristic, complemented
53	C₅×#529	C₂²	1	1	yes	characteristic
54	C₅×#529	C₂²	1	1	yes	characteristic, complemented
55	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
56	C₂×#4095	C₂²	1	1	yes	characteristic, complemented
57	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
58	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
60	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
61	#66043	—	2	1	no	—
62	#66039	—	2	1	no	—
63	#66026	—	2	1	no	—
64	#66012	—	2	1	no	—
65	#65990	—	2	1	no	—
66	D₅×#123	—	2	1	no	—
67	#65971	—	2	1	no	—
68	#65944	—	2	1	no	—
69	#65919	C₂²	1	1	yes	characteristic, complemented
70	#65913	C₂²	1	1	yes	characteristic, complemented
71	#65899	C₂²	1	1	yes	characteristic, complemented
72	#65889	C₂²	1	1	yes	characteristic, complemented
73	#65884	C₂²	1	1	yes	characteristic, complemented
74	#65884	C₂²	1	1	yes	characteristic, complemented
75	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
76	#65875	C₂²	1	1	yes	characteristic, complemented
77	#65869	C₂²	1	1	yes	characteristic, complemented
78	#65868	C₂²	1	1	yes	characteristic, complemented
79	#65857	C₂²	1	1	yes	characteristic, complemented
80	#65855	C₂²	1	1	yes	characteristic, complemented
81	#65813	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
83	#65528	C₂²	1	1	yes	characteristic, complemented
84	#65527	C₂²	1	1	yes	characteristic, complemented
85	#65527	C₂²	1	1	yes	characteristic, complemented
86	#65527	C₂²	1	1	yes	characteristic, complemented
87	#65522	C₂²	1	1	yes	characteristic, complemented
88	#65521	C₂²	1	1	yes	characteristic, complemented
89	#65507	C₂²	1	1	yes	characteristic, complemented
90	#65507	C₂²	1	1	yes	characteristic, complemented
91	#65507	C₂²	1	1	yes	characteristic, complemented
92	#65506	C₂²	1	1	yes	characteristic, complemented
93	#65506	C₂²	1	1	yes	characteristic, complemented
94	#65506	C₂²	1	1	yes	characteristic, complemented
95	#65506	C₂²	1	1	yes	characteristic, complemented
96	#65506	C₂²	1	1	yes	characteristic, complemented
97	#65504	C₂²	1	1	yes	characteristic, complemented
98	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
99	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
100	C₂×#3964	C₂²	1	1	yes	characteristic, complemented
101	#65364	C₂²	1	1	yes	characteristic, complemented
102	#65364	C₂²	1	1	yes	characteristic, complemented
103	#65364	C₂²	1	1	yes	characteristic, complemented
104	#65363	C₂²	1	1	yes	characteristic, complemented
105	#65363	C₂²	1	1	yes	characteristic, complemented
106	#65363	C₂²	1	1	yes	characteristic, complemented
107	#65362	C₂²	1	1	yes	characteristic, complemented
108	#65361	C₂²	1	1	yes	characteristic
109	#65361	C₂²	1	1	yes	characteristic, complemented
110	#65361	C₂²	1	1	yes	characteristic, complemented
111	#65361	C₂²	1	1	yes	characteristic, complemented
112	#65361	C₂²	1	1	yes	characteristic, complemented
113	#65361	C₂²	1	1	yes	characteristic, complemented
114	#65361	C₂²	1	1	yes	characteristic, complemented
115	#65361	C₂²	1	1	yes	characteristic, complemented
116	#65361	C₂²	1	1	yes	characteristic, complemented
117	#65361	C₂²	1	1	yes	characteristic, complemented
118	#65361	C₂²	1	1	yes	characteristic, complemented
119	#65361	C₂²	1	1	yes	characteristic, complemented
120	#65361	C₂²	1	1	yes	characteristic, complemented
121	#65360	C₂²	1	1	yes	characteristic, complemented
122	#65360	C₂²	1	1	yes	characteristic, complemented
123	#65360	C₂²	1	1	yes	characteristic, complemented
124	#65359	C₂²	1	1	yes	characteristic, complemented
125	#65355	C₂²	1	1	yes	characteristic, complemented
126	#65355	C₂²	1	1	yes	characteristic, complemented
127	#65355	C₂²	1	1	yes	characteristic, complemented
128	#65352	C₂²	1	1	yes	characteristic, complemented
129	#65348	C₂²	1	1	yes	characteristic, complemented
130	#65347	C₂²	1	1	yes	characteristic, complemented
131	#65346	C₂²	1	1	yes	characteristic, complemented
132	#65346	C₂²	1	1	yes	characteristic, complemented
133	#65346	C₂²	1	1	yes	characteristic, complemented
134	#65346	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65346	C₂²	1	1	yes	characteristic, complemented
137	#65345	C₂²	1	1	yes	characteristic, complemented
138	#65344	C₂²	1	1	yes	characteristic, complemented
139	#65343	C₂²	1	1	yes	characteristic, complemented
140	#65343	C₂²	1	1	yes	characteristic, complemented
141	#65340	C₂²	1	1	yes	characteristic, complemented
142	#65337	C₂²	1	1	yes	characteristic, complemented
143	#65335	C₂²	1	1	yes	characteristic, complemented
144	#65332	C₂²	1	1	yes	characteristic, complemented
145	#65331	C₂²	1	1	yes	characteristic, complemented
146	#65330	C₂²	1	1	yes	characteristic, complemented
147	#65330	C₂²	1	1	yes	characteristic, complemented
148	#65328	C₂²	1	1	yes	characteristic, complemented
149	#65328	C₂²	1	1	yes	characteristic, complemented
150	#65328	C₂²	1	1	yes	characteristic, complemented
151	#65327	C₂²	1	1	yes	characteristic
152	#65327	C₂²	1	1	yes	characteristic, complemented
153	#65327	C₂²	1	1	yes	characteristic, complemented
154	#65327	C₂²	1	1	yes	characteristic, complemented
155	#65326	C₂²	1	1	yes	characteristic, complemented
156	#65326	C₂²	1	1	yes	characteristic, complemented
157	#65325	C₂²	1	1	yes	characteristic
158	#65325	C₂²	1	1	yes	characteristic, complemented
159	#65325	C₂²	1	1	yes	characteristic, complemented
160	#65324	C₂²	1	1	yes	characteristic, complemented
161	#65324	C₂²	1	1	yes	characteristic, complemented
162	#65323	C₂²	1	1	yes	characteristic, complemented
163	#65322	C₂²	1	1	yes	characteristic, complemented
164	#65322	C₂²	1	1	yes	characteristic, complemented
165	#65317	C₂²	1	1	yes	characteristic, complemented
166	#65315	C₂²	1	1	yes	characteristic, complemented
167	#65315	C₂²	1	1	yes	characteristic, complemented
168	#65313	C₂²	1	1	yes	characteristic, complemented
169	#65313	C₂²	1	1	yes	characteristic, complemented
170	#65311	C₂²	1	1	yes	characteristic, complemented
171	#65307	C₂²	1	1	yes	characteristic, complemented
172	C₄×#687	C₂²	1	1	yes	characteristic, complemented
173	#65305	C₂²	1	1	yes	characteristic, complemented
174	#65305	C₂²	1	1	yes	characteristic, complemented
175	#65305	C₂²	1	1	yes	characteristic, complemented
176	#65304	C₂²	1	1	yes	characteristic, complemented
177	#65304	C₂²	1	1	yes	characteristic, complemented
178	#65303	C₂²	1	1	yes	characteristic, complemented
179	#65303	C₂²	1	1	yes	characteristic, complemented
180	#65303	C₂²	1	1	yes	characteristic, complemented
181	#65303	C₂²	1	1	yes	characteristic, complemented
182	#65303	C₂²	1	1	yes	characteristic, complemented
183	C₄×#686	C₂²	1	1	yes	characteristic, complemented
184	C₄×#686	C₂²	1	1	yes	characteristic, complemented
185	C₄×#686	C₂²	1	1	yes	characteristic, complemented
186	#65300	C₂²	1	1	yes	characteristic, complemented
187	#65300	C₂²	1	1	yes	characteristic, complemented
188	#65300	C₂²	1	1	yes	characteristic, complemented
189	#65300	C₂²	1	1	yes	characteristic, complemented
190	D₄×#168	C₂²	1	1	yes	characteristic, complemented
191	D₄×#168	C₂²	1	1	yes	characteristic, complemented
192	#65298	C₂²	1	1	yes	characteristic, complemented
193	#65298	C₂²	1	1	yes	characteristic, complemented
194	#65298	C₂²	1	1	yes	characteristic, complemented
195	#65297	C₂²	1	1	yes	characteristic, complemented
196	#65296	C₂²	1	1	yes	characteristic, complemented
197	#65289	C₂²	1	1	yes	characteristic, complemented
198	#65289	C₂²	1	1	yes	characteristic, complemented
199	#65288	C₂²	1	1	yes	characteristic, complemented
200	#65288	C₂²	1	1	yes	characteristic, complemented
201	#65215	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic, complemented
203	#62007	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	—	2	1	no	—
208	C₂²×C₅×D₄	—	2	1	no	—
209	C₂²×C₅×D₄	—	2	1	no	—
210	C₂²×C₅×D₄	—	2	1	no	—
211	C₂²×C₅×D₄	—	2	1	no	—
212	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
213	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
214	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
215	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
216	C₂×#711	—	2	1	no	—
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×#709	C₂³	1	1	yes	characteristic
219	C₂²×D₂₀	C₂³	1	1	yes	characteristic
220	C₂²×D₂₀	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₅	—	2	1	no	—
222	C₅×#127	—	2	1	no	—
223	C₅×#127	—	2	1	no	—
224	C₅×#127	—	2	1	no	—
225	C₅×#127	C₂³	1	1	yes	characteristic
226	C₅×#127	C₂³	1	1	yes	characteristic
227	C₅×#127	C₂³	1	1	yes	characteristic
228	C₅×#127	C₂³	1	1	yes	characteristic
229	C₅×#127	C₂³	1	1	yes	characteristic
230	C₅×#127	C₂³	1	1	yes	characteristic
231	C₅×#126	—	2	1	no	—
232	C₅×#126	D₄	1	1	yes	characteristic
233	C₅×#126	D₄	1	1	yes	characteristic
234	C₅×#125	D₄	1	1	yes	characteristic
235	C₅×#125	C₂³	1	1	yes	characteristic
236	C₅×#124	—	2	1	no	—
237	C₅×#124	D₄	1	1	yes	characteristic
238	C₅×#124	C₂³	1	1	yes	characteristic
239	C₅×#124	C₂³	1	1	yes	characteristic
240	C₅×#124	C₂³	1	1	yes	characteristic
241	C₅×#123	—	2	1	no	—
242	C₅×#123	—	2	1	no	—
243	C₅×#123	—	2	1	no	—
244	C₅×#123	—	2	1	no	—
245	C₅×#123	—	2	1	no	—
246	C₅×#123	—	2	1	no	—
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×#123	D₄	1	1	yes	characteristic
251	C₅×#123	D₄	1	1	yes	characteristic
252	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×#121	—	2	1	no	—
255	C₅×#121	—	2	1	no	—
256	C₅×#121	—	2	1	no	—
257	C₅×#121	—	2	1	no	—
258	C₅×#121	—	2	1	no	—
259	C₅×#121	—	2	1	no	—
260	C₅×#121	—	2	1	no	—
261	C₅×#121	—	2	1	no	—
262	C₅×#121	—	2	1	no	—
263	C₅×#121	—	2	1	no	—
264	C₅×#121	—	2	1	no	—
265	C₅×#121	—	2	1	no	—
266	C₅×#121	—	2	1	no	—
267	C₅×#121	—	2	1	no	—
268	C₅×#121	—	2	1	no	—
269	C₅×#121	—	2	1	no	—
270	C₅×#121	—	2	1	no	—
271	C₅×#121	—	2	1	no	—
272	C₅×#121	D₄	1	1	yes	characteristic
273	C₅×#121	C₂³	1	1	yes	characteristic
274	C₅×#121	C₂³	1	1	yes	characteristic
275	C₅×#121	C₂³	1	1	yes	characteristic
276	C₅×#121	C₂³	1	1	yes	characteristic
277	C₅×#121	C₂³	1	1	yes	characteristic
278	C₅×#120	—	2	1	no	—
279	C₅×#120	—	2	1	no	—
280	C₅×#120	—	2	1	no	—
281	C₅×#120	—	2	1	no	—
282	C₅×#120	—	2	1	no	—
283	C₅×#120	—	2	1	no	—
284	C₅×#120	—	2	1	no	—
285	C₅×#120	—	2	1	no	—
286	C₅×#120	—	2	1	no	—
287	C₅×#120	—	2	1	no	—
288	C₅×#120	—	2	1	no	—
289	C₅×#120	—	2	1	no	—
290	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
291	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
292	C₄×C₅×D₄	—	2	1	no	—
293	C₄×C₅×D₄	—	2	1	no	—
294	C₄×C₅×D₄	—	2	1	no	—
295	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
296	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
297	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
298	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
299	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
300	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
301	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
302	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
303	C₅×#117	—	2	1	no	—
304	C₅×#117	C₂³	1	1	yes	characteristic
305	C₅×#117	C₂³	1	1	yes	characteristic
306	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
307	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
308	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
309	#4096	—	4	2	no	—
310	#4095	—	4	2	no	—
311	#4093	—	2	1	no	—
312	#4092	—	2	1	no	—
313	C₂×#689	C₂³	1	1	yes	characteristic
314	C₂×#688	C₂³	1	1	yes	characteristic
315	C₂×#688	C₂³	1	1	yes	characteristic
316	C₂×#688	C₂³	1	1	yes	characteristic
317	#4085	—	2	1	no	—
318	#4083	—	2	1	no	—
319	#4083	—	2	1	no	—
320	#4081	—	2	1	no	—
321	C₂×#687	C₂³	1	1	yes	characteristic
322	C₂×#687	C₂³	1	1	yes	characteristic
323	C₂×#687	C₂³	1	1	yes	characteristic
324	C₂×#687	C₂³	1	1	yes	characteristic
325	C₂×#687	C₂³	1	1	yes	characteristic
326	#4078	—	4	2	no	—
327	C₂×#686	—	4	2	no	—
328	C₂×#686	—	4	2	no	—
329	C₂×#686	—	4	2	no	—
330	C₂×#686	C₂³	1	1	yes	characteristic
331	C₂×#686	C₂³	1	1	yes	characteristic
332	C₂×#686	C₂³	1	1	yes	characteristic
333	C₂×#686	C₂³	1	1	yes	characteristic
334	C₂×#686	C₂³	1	1	yes	characteristic
335	C₂×#686	C₂³	1	1	yes	characteristic
336	C₂×#686	C₂³	1	1	yes	characteristic
337	C₂×#686	C₂³	1	1	yes	characteristic
338	C₂×#686	C₂³	1	1	yes	characteristic
339	C₂×#686	C₂³	1	1	yes	characteristic
340	C₂×#686	C₂³	1	1	yes	characteristic
341	C₂×#686	C₂³	1	1	yes	characteristic
342	C₂×#686	C₂³	1	1	yes	characteristic
343	C₂×#686	C₂³	1	1	yes	characteristic
344	C₂×#686	C₂³	1	1	yes	characteristic
345	#4076	C₂³	1	1	yes	characteristic
346	#4076	C₂³	1	1	yes	characteristic
347	#4076	C₂³	1	1	yes	characteristic
348	#4076	C₂³	1	1	yes	characteristic
349	#4075	—	2	1	no	—
350	C₄×C₂²⋊D₅	—	2	1	no	—
351	C₂×#685	—	2	1	no	—
352	#4072	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
355	#4070	C₂³	1	1	yes	characteristic
356	#4070	C₂³	1	1	yes	characteristic
357	C₂×#681	C₂³	1	1	yes	characteristic
358	C₂×#681	C₂³	1	1	yes	characteristic
359	C₂²×#168	C₂³	1	1	yes	characteristic
360	C₂²×#168	C₂³	1	1	yes	characteristic
361	C₂²×#168	C₂³	1	1	yes	characteristic
362	C₂²×#168	C₂³	1	1	yes	characteristic
363	#4044	—	2	1	no	—
364	#4044	—	2	1	no	—
365	#4043	—	2	1	no	—
366	#4042	—	2	1	no	—
367	#4042	—	2	1	no	—
368	#4042	—	2	1	no	—
369	#4041	—	2	1	no	—
370	#4040	—	2	1	no	—
371	#4040	—	2	1	no	—
372	#4040	—	2	1	no	—
373	#4040	—	2	1	no	—
374	#4040	—	2	1	no	—
375	#4040	—	2	1	no	—
376	#4039	—	2	1	no	—
377	#4039	—	2	1	no	—
378	#4039	—	2	1	no	—
379	#4038	—	2	1	no	—
380	D₅×C₄⋊C₄	—	2	1	no	—
381	D₅×C₄⋊C₄	—	2	1	no	—
382	#4035	—	2	1	no	—
383	#4032	—	2	1	no	—
384	#4032	—	2	1	no	—
385	#4031	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	—	2	1	no	—
392	#4028	—	2	1	no	—
393	#4028	—	2	1	no	—
394	#4027	—	2	1	no	—
395	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	D₅×C₂²⋊C₄	—	2	1	no	—
398	D₅×C₂²⋊C₄	—	2	1	no	—
399	D₅×C₂²⋊C₄	—	2	1	no	—
400	D₅×C₂²⋊C₄	—	2	1	no	—
401	#4025	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4021	C₂³	1	1	yes	characteristic
405	#4021	C₂³	1	1	yes	characteristic
406	#4020	C₂³	1	1	yes	characteristic
407	C₄×D₂₀	—	2	1	no	—
408	C₄×D₂₀	—	2	1	no	—
409	C₄×D₂₀	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	C₂³	1	1	yes	characteristic
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	C₂³	1	1	yes	characteristic
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	C₄×D₂₀	C₂³	1	1	yes	characteristic
415	C₄×D₂₀	C₂³	1	1	yes	characteristic
416	C₄×D₂₀	C₂³	1	1	yes	characteristic
417	#4018	—	2	1	no	—
418	#4016	C₂³	1	1	yes	characteristic
419	#4016	C₂³	1	1	yes	characteristic
420	#4015	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	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	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	C₂²⋊#168	C₂³	1	1	yes	characteristic
450	C₂²⋊#168	C₂³	1	1	yes	characteristic
451	C₂²⋊#168	C₂³	1	1	yes	characteristic
452	C₂²⋊#168	C₂³	1	1	yes	characteristic
453	#3942	C₂³	1	1	yes	characteristic
454	#3942	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3941	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	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	C₄⋊#168	C₂³	1	1	yes	characteristic
470	C₄⋊#168	C₂³	1	1	yes	characteristic
471	C₄⋊#168	C₂³	1	1	yes	characteristic
472	C₄⋊#168	C₂³	1	1	yes	characteristic
473	C₄⋊#168	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	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	#3935	C₂³	1	1	yes	characteristic
482	#3935	C₂³	1	1	yes	characteristic
483	C₄×#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3543	D₅	1	1	yes	characteristic, complemented
486	#3513	—	5	1	no	—
487	#3403	—	5	1	no	—
488	#3399	—	5	1	no	—
489	#3370	—	5	1	no	—
490	#3366	—	5	1	no	—
491	#3318	—	5	1	no	—
492	#3310	—	5	1	no	—
493	#3309	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3294	—	5	1	no	—
497	#3280	—	5	1	no	—
498	D₄×D₈	—	5	1	no	—
499	#3268	—	5	1	no	—
500	#3264	—	5	1	no	—
501	#3264	—	5	1	no	—
502	#3264	—	5	1	no	—
503	#3259	—	5	1	no	—
504	#3257	—	5	1	no	—
505	#3250	—	5	1	no	—
506	#3224	—	5	1	no	—
507	#3220	—	5	1	no	—
508	#3217	—	5	1	no	—
509	#3122	—	5	1	no	—
510	#3119	—	5	1	no	—
511	#3114	—	5	1	no	—
512	#3045	—	5	1	no	—
513	#3041	—	5	1	no	—
514	C₂×#459	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂⁴×C₅	—	2	1	no	—
517	C₂⁴×C₅	—	2	1	no	—
518	C₂⁴×C₅	—	2	1	no	—
519	C₂⁴×C₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₅×#41	—	4	1	no	—
523	C₅×#41	—	4	1	no	—
524	C₅×#41	—	4	1	no	—
525	C₅×#41	—	4	1	no	—
526	C₅×#41	—	8	2	no	—
527	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	—	2	1	no	—
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	2	1	no	—
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	1	no	—
545	C₂×C₅×D₄	—	2	1	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	2	1	no	—
548	C₂×C₅×D₄	—	2	1	no	—
549	C₂×C₅×D₄	—	2	1	no	—
550	C₂×C₅×D₄	—	2	1	no	—
551	C₂×C₅×D₄	—	2	1	no	—
552	C₂×C₅×D₄	—	4	1	no	—
553	C₂×C₅×D₄	—	4	1	no	—
554	C₂×C₅×D₄	—	4	1	no	—
555	C₂×C₅×D₄	—	4	1	no	—
556	C₂×C₅×D₄	—	4	1	no	—
557	C₂×C₅×D₄	—	4	1	no	—
558	C₂×C₅×D₄	—	4	1	no	—
559	C₂×C₅×D₄	—	4	1	no	—
560	C₂×C₅×D₄	—	8	2	no	—
561	C₂×C₅×D₄	—	8	2	no	—
562	C₂×C₅×D₄	—	8	2	no	—
563	C₂×C₅×D₄	—	8	2	no	—
564	C₂×C₅×D₄	—	8	2	no	—
565	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
566	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
567	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
568	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
571	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
572	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₅	—	2	1	no	—
574	C₂²×C₄×C₅	—	2	1	no	—
575	C₂²×C₄×C₅	—	2	1	no	—
576	C₂²×C₄×C₅	—	2	1	no	—
577	C₂²×C₄×C₅	—	2	1	no	—
578	C₂²×C₄×C₅	—	2	1	no	—
579	C₂²×C₄×C₅	—	2	1	no	—
580	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
581	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
582	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂×C₂²⋊D₅	—	2	1	no	—
586	C₂×C₂²⋊D₅	—	2	1	no	—
587	C₂×C₂²⋊D₅	—	2	1	no	—
588	C₂×C₂²⋊D₅	—	2	1	no	—
589	C₂×C₂²⋊D₅	—	2	1	no	—
590	C₂²×Dic₅	—	2	1	no	—
591	C₂²×Dic₅	—	2	1	no	—
592	#711	—	8	2	no	—
593	D₄×D₅	—	8	2	no	—
594	#709	—	2	2	no	—
595	#709	—	4	1	no	—
596	C₂×D₂₀	—	2	2	no	—
597	C₂×D₂₀	—	2	2	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	—	2	1	no	—
600	C₂×D₂₀	—	2	1	no	—
601	C₂×D₂₀	—	2	1	no	—
602	C₂×D₂₀	—	4	1	no	—
603	C₂×D₂₀	—	4	1	no	—
604	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
605	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
606	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	2	1	no	—
613	C₂×C₄×D₅	—	2	1	no	—
614	C₂×C₄×D₅	—	2	1	no	—
615	C₂×C₄×D₅	—	2	1	no	—
616	C₂×C₄×D₅	—	8	2	no	—
617	C₂×Dic₁₀	—	2	1	no	—
618	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
619	C₅×C₄⋊C₄	—	2	1	no	—
620	C₅×C₄⋊C₄	—	2	1	no	—
621	C₅×C₄⋊C₄	—	2	1	no	—
622	C₅×C₄⋊C₄	—	2	1	no	—
623	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
632	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
633	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
634	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
635	C₅×C₂²⋊C₄	—	2	1	no	—
636	C₅×C₂²⋊C₄	—	2	1	no	—
637	C₅×C₂²⋊C₄	—	2	1	no	—
638	C₅×C₂²⋊C₄	—	2	1	no	—
639	C₅×C₂²⋊C₄	—	2	1	no	—
640	C₅×C₂²⋊C₄	—	2	1	no	—
641	C₅×C₂²⋊C₄	—	2	1	no	—
642	C₅×C₂²⋊C₄	—	2	1	no	—
643	C₅×C₂²⋊C₄	—	2	1	no	—
644	C₅×C₂²⋊C₄	—	2	1	no	—
645	C₅×C₂²⋊C₄	—	2	1	no	—
646	C₅×C₂²⋊C₄	—	2	1	no	—
647	C₅×C₂²⋊C₄	—	2	1	no	—
648	C₅×C₂²⋊C₄	—	2	1	no	—
649	C₅×C₂²⋊C₄	—	2	1	no	—
650	C₅×C₂²⋊C₄	—	2	1	no	—
651	C₅×C₂²⋊C₄	—	2	1	no	—
652	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
659	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
661	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
662	C₄²×C₅	—	2	1	no	—
663	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
664	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
665	C₄²×C₅	C₂⁴	1	1	yes	characteristic
666	C₄²×C₅	C₂⁴	1	1	yes	characteristic
667	C₄²×C₅	C₂⁴	1	1	yes	characteristic
668	C₄²×C₅	C₂⁴	1	1	yes	characteristic
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	#689	—	4	1	no	—
673	#688	—	2	2	no	—
674	#688	—	4	1	no	—
675	#688	—	4	1	no	—
676	#687	—	4	1	no	—
677	#687	—	4	1	no	—
678	#687	—	4	1	no	—
679	#687	—	4	1	no	—
680	#687	—	4	1	no	—
681	#686	—	2	2	no	—
682	#686	—	2	2	no	—
683	#686	—	2	2	no	—
684	#686	—	2	2	no	—
685	#686	—	2	2	no	—
686	#686	—	4	1	no	—
687	#686	—	4	1	no	—
688	#686	—	4	1	no	—
689	#686	—	4	1	no	—
690	#686	—	4	1	no	—
691	#686	—	4	1	no	—
692	#686	—	4	1	no	—
693	#686	—	4	1	no	—
694	#686	—	4	1	no	—
695	#686	—	4	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	C₄⋊Dic₅	—	2	1	no	—
713	C₄⋊Dic₅	—	2	1	no	—
714	C₄⋊Dic₅	—	2	1	no	—
715	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
716	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
717	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
718	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	C₄×Dic₅	—	2	1	no	—
728	C₄×Dic₅	—	2	1	no	—
729	C₄×Dic₅	—	2	1	no	—
730	#681	—	4	1	no	—
731	#681	—	4	1	no	—
732	C₂×#168	—	4	1	no	—
733	C₂×#168	—	4	1	no	—
734	C₂×#168	—	4	1	no	—
735	C₂×#168	—	4	1	no	—
736	C₂×#168	C₂⁴	1	1	yes	characteristic
737	C₂×#168	C₂⁴	1	1	yes	characteristic
738	C₂×#168	C₂⁴	1	1	yes	characteristic
739	C₂×#168	C₂⁴	1	1	yes	characteristic
740	C₂×#168	C₂⁴	1	1	yes	characteristic
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×AGL(1,ℤ/8)	—	5	1	no	—
745	C₂×AGL(1,ℤ/8)	—	5	1	no	—
746	C₂×#135	—	5	1	no	—
747	C₂²×D₈	—	5	1	no	—
748	C₂²×D₈	—	5	1	no	—
749	C₂²×D₈	—	5	1	no	—
750	#560	—	2	1	no	—
751	#560	—	2	1	no	—
752	#559	—	5	1	no	—
753	#559	C₂×D₅	1	1	yes	characteristic, complemented
754	#554	—	5	1	no	—
755	#553	—	5	1	no	—
756	#553	—	10	1	no	—
757	#552	—	5	1	no	—
758	#551	—	10	1	no	—
759	#551	—	10	1	no	—
760	#550	C₂×D₅	1	1	yes	characteristic, complemented
761	#550	C₂×D₅	1	1	yes	characteristic, complemented
762	#547	—	5	1	no	—
763	#546	—	2	1	no	—
764	#546	—	5	1	no	—
765	#546	—	5	1	no	—
766	#546	—	10	1	no	—
767	#546	C₂×D₅	1	1	yes	characteristic
768	#546	C₂×D₅	1	1	yes	characteristic, complemented
769	D₄²	—	2	1	no	—
770	D₄²	—	5	1	no	—
771	D₄²	C₂×D₅	1	1	yes	characteristic
772	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
773	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
774	#542	—	5	1	no	—
775	#540	—	2	1	no	—
776	#540	—	5	1	no	—
777	#540	C₂×D₅	1	1	yes	characteristic, complemented
778	#540	C₂×D₅	1	1	yes	characteristic, complemented
779	#539	—	10	1	no	—
780	#538	—	10	1	no	—
781	#535	—	2	1	no	—
782	#535	C₂×D₅	1	1	yes	characteristic, complemented
783	#535	C₂×D₅	1	1	yes	characteristic, complemented
784	#534	—	2	1	no	—
785	#534	—	2	1	no	—
786	C₂×#127	C₂×D₅	1	1	yes	characteristic, complemented
787	#529	—	5	1	no	—
788	#529	C₂×D₅	1	1	yes	characteristic
789	#529	C₂×D₅	1	1	yes	characteristic, complemented
790	#525	—	10	1	no	—
791	C₂×#123	—	10	1	no	—
792	#520	—	5	1	no	—
793	#518	—	5	1	no	—
794	C₂×C₄×D₄	—	5	1	no	—
795	#496	—	5	1	no	—
796	#496	—	5	1	no	—
797	#496	—	5	1	no	—
798	#496	—	5	1	no	—
799	#495	—	5	1	no	—
800	#493	—	5	1	no	—
801	#490	—	5	1	no	—
802	#490	—	5	1	no	—
803	#490	—	5	1	no	—
804	#489	—	5	1	no	—
805	#488	—	5	1	no	—
806	#486	—	5	1	no	—
807	#483	—	5	1	no	—
808	#482	—	5	1	no	—
809	#482	—	5	1	no	—
810	#481	—	5	1	no	—
811	#480	—	5	1	no	—
812	#480	—	5	1	no	—
813	#479	—	5	1	no	—
814	#479	—	5	1	no	—
815	#478	—	5	1	no	—
816	#478	—	5	1	no	—
817	#478	—	5	1	no	—
818	#478	—	5	1	no	—
819	#478	—	5	1	no	—
820	#478	—	5	1	no	—
821	#476	—	5	1	no	—
822	#474	—	5	1	no	—
823	#469	—	5	1	no	—
824	#469	—	5	1	no	—
825	#469	—	5	1	no	—
826	#468	—	5	1	no	—
827	#467	—	5	1	no	—
828	#466	—	5	1	no	—
829	#466	—	5	1	no	—
830	#466	—	5	1	no	—
831	#466	—	5	1	no	—
832	#465	—	5	1	no	—
833	#465	—	5	1	no	—
834	#465	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	—	5	1	no	—
837	#464	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#463	—	5	1	no	—
843	#463	—	5	1	no	—
844	#463	—	5	1	no	—
845	#463	—	5	1	no	—
846	#463	—	5	1	no	—
847	#460	—	5	1	no	—
848	#460	—	5	1	no	—
849	#460	—	5	1	no	—
850	#459	—	5	1	no	—
851	#459	—	5	1	no	—
852	#459	—	5	1	no	—
853	#459	—	5	1	no	—
854	#459	—	5	1	no	—
855	#459	—	5	1	no	—
856	#459	—	5	1	no	—
857	#459	—	5	1	no	—
858	#459	—	5	1	no	—
859	#459	—	5	1	no	—
860	#459	—	5	1	no	—
861	#459	—	5	1	no	—
862	#459	—	5	1	no	—
863	#459	—	5	1	no	—
864	#459	—	5	1	no	—
865	#452	—	5	1	no	—
866	#450	—	5	1	no	—
867	#450	—	5	1	no	—
868	#450	—	5	1	no	—
869	#450	—	5	1	no	—
870	#449	—	5	1	no	—
871	#449	—	5	1	no	—
872	#449	—	5	1	no	—
873	#449	—	5	1	no	—
874	#449	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	—	5	1	no	—
878	#447	—	5	1	no	—
879	#447	—	5	1	no	—
880	#447	—	5	1	no	—
881	#447	—	5	1	no	—
882	#447	—	5	1	no	—
883	#446	—	5	1	no	—
884	#446	—	5	1	no	—
885	#442	—	5	1	no	—
886	#442	—	5	1	no	—
887	#442	—	5	1	no	—
888	#442	—	5	1	no	—
889	#442	—	5	1	no	—
890	#440	—	5	1	no	—
891	#440	—	5	1	no	—
892	#440	—	5	1	no	—
893	C₄×SD₁₆	—	5	1	no	—
894	C₄×D₈	—	5	1	no	—
895	C₄×D₈	—	5	1	no	—
896	C₄×D₈	—	5	1	no	—
897	#435	—	5	1	no	—
898	#435	—	5	1	no	—
899	#435	—	5	1	no	—
900	#435	—	5	1	no	—
901	C₈×D₄	—	5	1	no	—
902	C₈×D₄	—	5	1	no	—
903	#433	—	5	1	no	—
904	#433	—	5	1	no	—
905	#432	—	5	1	no	—
906	#424	—	5	1	no	—
907	#424	—	5	1	no	—
908	C₂×C₄⋊C₈	—	5	1	no	—
909	#418	—	5	1	no	—
910	#417	—	5	1	no	—
911	#416	—	5	1	no	—
912	C₂×#102	—	5	1	no	—
913	C₂×#102	—	5	1	no	—
914	C₂×#102	—	5	1	no	—
915	C₂³×C₅	—	2	1	no	—
916	C₂³×C₅	—	2	1	no	—
917	C₂³×C₅	—	2	1	no	—
918	C₂³×C₅	—	2	1	no	—
919	C₂³×C₅	—	2	1	no	—
920	C₂³×C₅	—	4	2	no	—
921	C₂³×C₅	—	4	2	no	—
922	C₂³×C₅	—	8	1	no	—
923	C₂³×C₅	—	8	1	no	—
924	C₂³×C₅	—	8	1	no	—
925	C₂³×C₅	—	8	1	no	—
926	C₂³×C₅	—	8	1	no	—
927	C₂³×C₅	—	8	1	no	—
928	C₂³×C₅	—	8	1	no	—
929	C₂³×C₅	—	8	1	no	—
930	C₂³×C₅	—	8	1	no	—
931	C₂³×C₅	—	8	1	no	—
932	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
933	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
934	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
935	C₂²×D₅	—	2	1	no	—
936	C₂²×D₅	—	2	1	no	—
937	C₂²×D₅	—	2	1	no	—
938	C₂²×D₅	—	4	2	no	—
939	C₂²×D₅	—	4	2	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	8	1	no	—
942	C₂²×D₅	—	8	1	no	—
943	C₂²×D₅	—	8	1	no	—
944	C₅×Q₈	—	2	1	no	—
945	C₅×Q₈	—	2	1	no	—
946	C₅×Q₈	—	4	1	no	—
947	C₅×D₄	—	2	2	no	—
948	C₅×D₄	—	2	2	no	—
949	C₅×D₄	—	2	1	no	—
950	C₅×D₄	—	2	1	no	—
951	C₅×D₄	—	2	1	no	—
952	C₅×D₄	—	2	1	no	—
953	C₅×D₄	—	2	1	no	—
954	C₅×D₄	—	2	1	no	—
955	C₅×D₄	—	2	1	no	—
956	C₅×D₄	—	2	1	no	—
957	C₅×D₄	—	2	1	no	—
958	C₅×D₄	—	2	1	no	—
959	C₅×D₄	—	4	1	no	—
960	C₅×D₄	—	4	2	no	—
961	C₅×D₄	—	4	2	no	—
962	C₅×D₄	—	4	2	no	—
963	C₅×D₄	—	8	1	no	—
964	C₅×D₄	—	8	1	no	—
965	C₅×D₄	—	8	1	no	—
966	C₅×D₄	—	8	1	no	—
967	C₅×D₄	—	8	1	no	—
968	C₅×D₄	—	8	1	no	—
969	C₅×D₄	—	8	1	no	—
970	C₅×D₄	—	8	1	no	—
971	C₅×D₄	—	8	1	no	—
972	C₅×D₄	—	8	1	no	—
973	C₅×D₄	—	8	1	no	—
974	C₅×D₄	—	8	1	no	—
975	C₅×D₄	—	8	1	no	—
976	C₅×D₄	—	8	1	no	—
977	C₅×D₄	—	8	1	no	—
978	C₅×D₄	—	8	1	no	—
979	C₅×D₄	—	8	1	no	—
980	C₅×D₄	—	8	1	no	—
981	C₅×D₄	—	8	1	no	—
982	C₅×D₄	—	8	1	no	—
983	C₂×C₄×C₅	—	2	2	no	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	2	1	no	—
988	C₂×C₄×C₅	—	2	1	no	—
989	C₂×C₄×C₅	—	2	1	no	—
990	C₂×C₄×C₅	—	2	1	no	—
991	C₂×C₄×C₅	—	2	1	no	—
992	C₂×C₄×C₅	—	2	1	no	—
993	C₂×C₄×C₅	—	4	1	no	—
994	C₂×C₄×C₅	—	4	2	no	—
995	C₂×C₄×C₅	—	8	1	no	—
996	C₂×C₄×C₅	—	8	1	no	—
997	C₂×C₄×C₅	—	8	1	no	—
998	C₂×C₄×C₅	—	8	1	no	—
999	C₂×C₄×C₅	—	8	1	no	—
1000	C₂×C₄×C₅	—	8	1	no	—
1001	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1002	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1003	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1004	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1005	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1006	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1007	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1008	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1009	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1010	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1011	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1013	C₂²⋊D₅	—	4	2	no	—
1014	C₂²⋊D₅	—	4	2	no	—
1015	C₂²⋊D₅	—	8	1	no	—
1016	C₂²⋊D₅	—	8	1	no	—
1017	C₂²⋊D₅	—	8	1	no	—
1018	C₂×Dic₅	—	2	1	no	—
1019	C₂×Dic₅	—	2	1	no	—
1020	C₂×Dic₅	—	2	1	no	—
1021	C₂×Dic₅	—	2	1	no	—
1022	C₂×Dic₅	—	2	1	no	—
1023	C₂×Dic₅	—	4	2	no	—
1024	C₂×Dic₅	—	8	1	no	—
1025	D₂₀	—	2	1	no	—
1026	D₂₀	—	2	1	no	—
1027	D₂₀	—	2	1	no	—
1028	D₂₀	—	2	1	no	—
1029	D₂₀	—	2	1	no	—
1030	D₂₀	—	4	2	no	—
1031	D₂₀	—	4	2	no	—
1032	D₂₀	—	8	1	no	—
1033	D₂₀	—	8	1	no	—
1034	D₂₀	H(5,𝔽₂)	1	2	yes	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	8	1	no	—
1037	C₄×D₅	—	8	1	no	—
1038	C₄×D₅	—	8	1	no	—
1039	C₄×D₅	—	8	1	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	—	8	1	no	—
1042	C₄×D₅	—	8	1	no	—
1043	C₄×D₅	—	8	1	no	—
1044	Dic₁₀	—	2	1	no	—
1045	Dic₁₀	—	2	1	no	—
1046	Dic₁₀	—	8	1	no	—
1047	#168	—	2	1	no	—
1048	#168	—	2	1	no	—
1049	#168	—	2	1	no	—
1050	#168	—	2	1	no	—
1051	#168	—	2	1	no	—
1052	#168	—	2	1	no	—
1053	#168	—	2	1	no	—
1054	#168	—	2	1	no	—
1055	C₂×#41	—	2	1	no	—
1056	C₂×#41	—	5	1	no	—
1057	C₂×#41	—	10	1	no	—
1058	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1059	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1060	C₂²×D₄	—	2	1	no	—
1061	C₂²×D₄	—	2	1	no	—
1062	C₂²×D₄	—	2	1	no	—
1063	C₂²×D₄	—	2	1	no	—
1064	C₂²×D₄	—	2	1	no	—
1065	C₂²×D₄	—	5	1	no	—
1066	C₂²×D₄	—	5	1	no	—
1067	C₂²×D₄	—	10	1	no	—
1068	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1069	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1070	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1071	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1072	C₂³×C₄	—	10	1	no	—
1073	AGL(1,ℤ/8)	—	20	2	no	—
1074	AGL(1,ℤ/8)	—	20	2	no	—
1075	#135	—	20	2	no	—
1076	C₂×Q₁₆	—	5	1	no	—
1077	C₂×SD₁₆	—	5	1	no	—
1078	C₂×SD₁₆	—	5	1	no	—
1079	C₂×SD₁₆	—	5	1	no	—
1080	C₂×SD₁₆	—	5	1	no	—
1081	C₂×SD₁₆	—	5	1	no	—
1082	C₂×SD₁₆	—	5	1	no	—
1083	C₂×SD₁₆	—	5	1	no	—
1084	C₂×SD₁₆	—	5	1	no	—
1085	C₂×D₈	—	5	1	no	—
1086	C₂×D₈	—	5	1	no	—
1087	C₂×D₈	—	5	1	no	—
1088	C₂×D₈	—	5	1	no	—
1089	C₂×D₈	—	5	1	no	—
1090	C₂×D₈	—	5	1	no	—
1091	C₂×D₈	—	5	1	no	—
1092	C₂×D₈	—	5	1	no	—
1093	C₂×D₈	—	5	1	no	—
1094	C₂×D₈	—	5	1	no	—
1095	C₂×D₈	—	5	1	no	—
1096	C₂×D₈	—	5	1	no	—
1097	C₂×D₈	—	5	1	no	—
1098	C₂×D₈	—	5	1	no	—
1099	C₂×D₈	—	5	1	no	—
1100	C₂×D₈	—	20	2	no	—
1101	C₂×D₈	—	20	2	no	—
1102	C₂×D₈	—	20	2	no	—
1103	C₂×M₁₆	—	5	1	no	—
1104	C₂×M₁₆	—	5	1	no	—
1105	C₂²×C₈	—	5	1	no	—
1106	C₂²×C₈	—	5	1	no	—
1107	C₂²×C₈	—	5	1	no	—
1108	C₂²×C₈	—	5	1	no	—
1109	C₄⋊Q₈	—	5	1	no	—
1110	#127	—	2	1	no	—
1111	#127	—	2	1	no	—
1112	#127	—	2	1	no	—
1113	#127	—	5	1	no	—
1114	#127	C₂²×D₅	1	1	yes	characteristic
1115	#127	C₂²×D₅	1	1	yes	characteristic
1116	#127	C₂²×D₅	1	1	yes	characteristic
1117	#127	C₂²×D₅	1	1	yes	characteristic
1118	#127	C₂²×D₅	1	1	yes	characteristic
1119	#127	C₂²×D₅	1	1	yes	characteristic
1120	#126	—	2	1	no	—
1121	#126	—	10	1	no	—
1122	#126	—	10	1	no	—
1123	#126	—	10	1	no	—
1124	#126	—	10	1	no	—
1125	#126	C₂²⋊D₅	1	1	yes	characteristic
1126	#126	C₂²⋊D₅	1	1	yes	characteristic
1127	#125	—	5	1	no	—
1128	#125	—	5	1	no	—
1129	#125	—	10	1	no	—
1130	#125	C₂²⋊D₅	1	1	yes	characteristic
1131	#125	C₂²×D₅	1	1	yes	characteristic
1132	#124	—	2	1	no	—
1133	#124	—	5	1	no	—
1134	#124	—	5	1	no	—
1135	#124	—	10	1	no	—
1136	#124	—	10	1	no	—
1137	#124	C₂²⋊D₅	1	1	yes	characteristic
1138	#124	C₂²×D₅	1	1	yes	characteristic
1139	#124	C₂²×D₅	1	1	yes	characteristic
1140	#124	C₂²×D₅	1	1	yes	characteristic
1141	#123	—	2	1	no	—
1142	#123	—	2	1	no	—
1143	#123	—	2	1	no	—
1144	#123	—	2	1	no	—
1145	#123	—	2	1	no	—
1146	#123	—	2	1	no	—
1147	#123	—	2	1	no	—
1148	#123	—	2	1	no	—
1149	#123	—	2	1	no	—
1150	#123	—	10	1	no	—
1151	#123	—	10	1	no	—
1152	#123	—	10	1	no	—
1153	#123	—	10	1	no	—
1154	#123	—	10	1	no	—
1155	#123	—	10	1	no	—
1156	#123	—	10	1	no	—
1157	#123	—	10	1	no	—
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	C₂²⋊D₅	1	1	yes	characteristic
1163	#123	C₂²⋊D₅	1	1	yes	characteristic
1164	C₂²⋊Q₈	—	5	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	—	10	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	—	10	1	no	—
1171	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1172	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1173	#121	—	2	1	no	—
1174	#121	—	2	1	no	—
1175	#121	—	2	1	no	—
1176	#121	—	2	1	no	—
1177	#121	—	2	1	no	—
1178	#121	—	2	1	no	—
1179	#121	—	2	1	no	—
1180	#121	—	2	1	no	—
1181	#121	—	2	1	no	—
1182	#121	—	2	1	no	—
1183	#121	—	2	1	no	—
1184	#121	—	2	1	no	—
1185	#121	—	2	1	no	—
1186	#121	—	2	1	no	—
1187	#121	—	2	1	no	—
1188	#121	—	2	1	no	—
1189	#121	—	2	1	no	—
1190	#121	—	2	1	no	—
1191	#121	—	5	1	no	—
1192	#121	—	5	1	no	—
1193	#121	—	5	1	no	—
1194	#121	—	5	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	C₂²⋊D₅	1	1	yes	characteristic
1202	#121	C₂²×D₅	1	1	yes	characteristic
1203	#121	C₂²×D₅	1	1	yes	characteristic
1204	#121	C₂²×D₅	1	1	yes	characteristic
1205	#121	C₂²×D₅	1	1	yes	characteristic
1206	#121	C₂²×D₅	1	1	yes	characteristic
1207	#120	—	2	1	no	—
1208	#120	—	2	1	no	—
1209	#120	—	2	1	no	—
1210	#120	—	2	1	no	—
1211	#120	—	2	1	no	—
1212	#120	—	2	1	no	—
1213	#120	—	2	1	no	—
1214	#120	—	2	1	no	—
1215	#120	—	2	1	no	—
1216	#120	—	2	1	no	—
1217	#120	—	2	1	no	—
1218	#120	—	2	1	no	—
1219	#120	—	10	1	no	—
1220	#120	—	10	1	no	—
1221	#120	—	10	1	no	—
1222	#120	—	10	1	no	—
1223	C₄×Q₈	—	5	1	no	—
1224	C₄×Q₈	—	5	1	no	—
1225	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1226	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1227	C₄×D₄	—	2	1	no	—
1228	C₄×D₄	—	2	1	no	—
1229	C₄×D₄	—	2	1	no	—
1230	C₄×D₄	—	5	1	no	—
1231	C₄×D₄	—	5	1	no	—
1232	C₄×D₄	—	5	1	no	—
1233	C₄×D₄	—	5	1	no	—
1234	C₄×D₄	—	5	1	no	—
1235	C₄×D₄	—	5	1	no	—
1236	C₄×D₄	—	5	1	no	—
1237	C₄×D₄	—	5	1	no	—
1238	C₄×D₄	—	10	1	no	—
1239	C₄×D₄	—	10	1	no	—
1240	C₄×D₄	—	10	1	no	—
1241	C₄×D₄	—	10	1	no	—
1242	C₄×D₄	—	10	1	no	—
1243	C₄×D₄	—	10	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	—	10	1	no	—
1247	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1248	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1249	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1250	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1251	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1252	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1253	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1254	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1255	#117	—	2	1	no	—
1256	#117	—	5	1	no	—
1257	#117	—	10	1	no	—
1258	#117	—	10	1	no	—
1259	#117	—	10	1	no	—
1260	#117	C₂²×D₅	1	1	yes	characteristic
1261	#117	C₂²×D₅	1	1	yes	characteristic
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	10	1	no	—
1265	C₂×C₄⋊C₄	—	10	1	no	—
1266	C₂×C₂²⋊C₄	—	2	1	no	—
1267	C₂×C₂²⋊C₄	—	2	1	no	—
1268	C₂×C₂²⋊C₄	—	10	1	no	—
1269	C₂×C₂²⋊C₄	—	10	1	no	—
1270	C₂×C₂²⋊C₄	—	10	1	no	—
1271	C₂×C₂²⋊C₄	—	10	1	no	—
1272	C₂×C₂²⋊C₄	—	10	1	no	—
1273	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1274	#107	—	5	1	no	—
1275	#107	—	5	1	no	—
1276	#107	—	5	1	no	—
1277	#107	—	5	1	no	—
1278	#106	—	5	1	no	—
1279	#106	—	5	1	no	—
1280	#106	—	5	1	no	—
1281	#106	—	5	1	no	—
1282	C₄⋊C₈	—	5	1	no	—
1283	C₄⋊C₈	—	5	1	no	—
1284	C₄⋊C₈	—	5	1	no	—
1285	C₄⋊C₈	—	5	1	no	—
1286	C₄⋊C₈	—	5	1	no	—
1287	C₄⋊C₈	—	5	1	no	—
1288	C₄⋊C₈	—	5	1	no	—
1289	C₄⋊C₈	—	5	1	no	—
1290	C₄⋊C₈	—	5	1	no	—
1291	C₄⋊C₈	—	5	1	no	—
1292	#103	—	5	1	no	—
1293	#103	—	5	1	no	—
1294	#103	—	5	1	no	—
1295	#103	—	5	1	no	—
1296	#103	—	5	1	no	—
1297	#103	—	5	1	no	—
1298	#102	—	5	1	no	—
1299	#102	—	5	1	no	—
1300	#102	—	5	1	no	—
1301	#102	—	5	1	no	—
1302	#102	—	5	1	no	—
1303	#102	—	5	1	no	—
1304	#102	—	5	1	no	—
1305	#102	—	5	1	no	—
1306	#102	—	5	1	no	—
1307	#102	—	5	1	no	—
1308	#102	—	5	1	no	—
1309	#102	—	5	1	no	—
1310	#102	—	5	1	no	—
1311	#102	—	5	1	no	—
1312	#102	—	5	1	no	—
1313	#102	—	5	1	no	—
1314	#102	—	5	1	no	—
1315	#102	—	5	1	no	—
1316	#102	—	5	1	no	—
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	C₂²⋊C₈	—	5	1	no	—
1325	C₂²⋊C₈	—	5	1	no	—
1326	C₂²⋊C₈	—	5	1	no	—
1327	C₂²⋊C₈	—	5	1	no	—
1328	C₂²⋊C₈	—	5	1	no	—
1329	C₂²⋊C₈	—	5	1	no	—
1330	#97	—	5	1	no	—
1331	#97	—	5	1	no	—
1332	#97	—	5	1	no	—
1333	#97	—	5	1	no	—
1334	C₄×C₈	—	5	1	no	—
1335	C₄×C₈	—	5	1	no	—
1336	C₂²×C₅	—	2	1	no	—
1337	C₂²×C₅	—	2	1	no	—
1338	C₂²×C₅	—	2	1	no	—
1339	C₂²×C₅	—	2	1	no	—
1340	C₂²×C₅	—	2	1	no	—
1341	C₂²×C₅	—	2	1	no	—
1342	C₂²×C₅	—	2	1	no	—
1343	C₂²×C₅	—	2	1	no	—
1344	C₂²×C₅	—	4	1	no	—
1345	C₂²×C₅	—	4	1	no	—
1346	C₂²×C₅	—	4	1	no	—
1347	C₂²×C₅	—	4	1	no	—
1348	C₂²×C₅	—	4	1	no	—
1349	C₂²×C₅	—	4	1	no	—
1350	C₂²×C₅	—	4	1	no	—
1351	C₂²×C₅	—	4	1	no	—
1352	C₂²×C₅	—	4	1	no	—
1353	C₂²×C₅	—	4	1	no	—
1354	C₂²×C₅	—	4	1	no	—
1355	C₂²×C₅	—	4	1	no	—
1356	C₂²×C₅	—	4	1	no	—
1357	C₂²×C₅	—	4	1	no	—
1358	C₂²×C₅	—	4	1	no	—
1359	C₂²×C₅	—	16	2	no	—
1360	C₂²×C₅	—	16	2	no	—
1361	C₂²×C₅	—	16	2	no	—
1362	C₂²×C₅	—	16	2	no	—
1363	C₂²×C₅	#576	1	2	yes	—
1364	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1365	C₂×D₅	—	2	2	no	—
1366	C₂×D₅	—	4	1	no	—
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	4	1	no	—
1370	C₂×D₅	—	4	1	no	—
1371	C₂×D₅	—	4	1	no	—
1372	C₂×D₅	—	4	1	no	—
1373	C₂×D₅	—	4	1	no	—
1374	C₂×D₅	—	8	4	no	—
1375	C₂×D₅	—	16	2	no	—
1376	C₄×C₅	—	2	1	no	—
1377	C₄×C₅	—	2	1	no	—
1378	C₄×C₅	—	2	1	no	—
1379	C₄×C₅	—	2	1	no	—
1380	C₄×C₅	—	2	1	no	—
1381	C₄×C₅	—	2	1	no	—
1382	C₄×C₅	—	2	1	no	—
1383	C₄×C₅	—	2	1	no	—
1384	C₄×C₅	—	2	1	no	—
1385	C₄×C₅	—	2	1	no	—
1386	C₄×C₅	—	2	1	no	—
1387	C₄×C₅	—	4	1	no	—
1388	C₄×C₅	—	4	1	no	—
1389	C₄×C₅	—	4	1	no	—
1390	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1391	C₄×C₅	#585	1	1	yes	characteristic
1392	Dic₅	—	4	1	no	—
1393	Dic₅	—	4	1	no	—
1394	Dic₅	—	4	1	no	—
1395	Dic₅	—	4	1	no	—
1396	Dic₅	—	4	1	no	—
1397	C₂⁴	—	2	1	no	—
1398	C₂⁴	—	2	1	no	—
1399	C₂⁴	—	2	1	no	—
1400	C₂⁴	—	2	1	no	—
1401	C₂⁴	—	10	1	no	—
1402	C₂⁴	—	10	1	no	—
1403	#41	—	4	1	no	—
1404	#41	—	4	1	no	—
1405	#41	—	4	1	no	—
1406	#41	—	4	1	no	—
1407	#41	—	8	2	no	—
1408	#41	—	10	2	no	—
1409	#41	—	20	1	no	—
1410	#41	—	40	2	no	—
1411	C₂×Q₈	—	5	1	no	—
1412	C₂×Q₈	—	10	1	no	—
1413	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1414	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	4	1	no	—
1439	C₂×D₄	—	4	1	no	—
1440	C₂×D₄	—	4	1	no	—
1441	C₂×D₄	—	4	1	no	—
1442	C₂×D₄	—	4	1	no	—
1443	C₂×D₄	—	4	1	no	—
1444	C₂×D₄	—	4	1	no	—
1445	C₂×D₄	—	4	1	no	—
1446	C₂×D₄	—	5	1	no	—
1447	C₂×D₄	—	5	1	no	—
1448	C₂×D₄	—	5	1	no	—
1449	C₂×D₄	—	8	2	no	—
1450	C₂×D₄	—	8	2	no	—
1451	C₂×D₄	—	8	2	no	—
1452	C₂×D₄	—	8	2	no	—
1453	C₂×D₄	—	8	2	no	—
1454	C₂×D₄	—	10	2	no	—
1455	C₂×D₄	—	10	2	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	1	no	—
1458	C₂×D₄	—	10	1	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	20	1	no	—
1466	C₂×D₄	—	20	1	no	—
1467	C₂×D₄	—	40	2	no	—
1468	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1469	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1470	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1471	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1472	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1473	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1474	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1475	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	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	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	40	2	no	—
1495	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1496	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1497	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1498	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1499	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1500	Q₁₆	—	20	1	no	—
1501	SD₁₆	—	10	2	no	—
1502	SD₁₆	—	20	1	no	—
1503	SD₁₆	—	20	1	no	—
1504	SD₁₆	—	20	1	no	—
1505	SD₁₆	—	20	1	no	—
1506	SD₁₆	—	20	1	no	—
1507	SD₁₆	—	20	1	no	—
1508	SD₁₆	—	20	1	no	—
1509	D₈	—	10	2	no	—
1510	D₈	—	10	2	no	—
1511	D₈	—	10	2	no	—
1512	D₈	—	10	2	no	—
1513	D₈	—	10	2	no	—
1514	D₈	—	20	1	no	—
1515	D₈	—	20	1	no	—
1516	D₈	—	20	1	no	—
1517	D₈	—	20	1	no	—
1518	D₈	—	20	1	no	—
1519	D₈	—	20	1	no	—
1520	D₈	—	20	1	no	—
1521	D₈	—	20	1	no	—
1522	D₈	—	20	1	no	—
1523	D₈	—	20	1	no	—
1524	M₁₆	—	20	1	no	—
1525	M₁₆	—	20	1	no	—
1526	C₂×C₈	—	5	1	no	—
1527	C₂×C₈	—	5	1	no	—
1528	C₂×C₈	—	5	1	no	—
1529	C₂×C₈	—	5	1	no	—
1530	C₂×C₈	—	5	1	no	—
1531	C₂×C₈	—	5	1	no	—
1532	C₂×C₈	—	5	1	no	—
1533	C₂×C₈	—	5	1	no	—
1534	C₂×C₈	—	20	1	no	—
1535	C₂×C₈	—	20	1	no	—
1536	C₂×C₈	—	20	1	no	—
1537	C₂×C₈	—	20	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	5	1	no	—
1543	C₄⋊C₄	—	5	1	no	—
1544	C₄⋊C₄	—	5	1	no	—
1545	C₄⋊C₄	—	5	1	no	—
1546	C₄⋊C₄	—	10	1	no	—
1547	C₄⋊C₄	—	10	1	no	—
1548	C₄⋊C₄	—	10	1	no	—
1549	C₄⋊C₄	—	10	1	no	—
1550	C₄⋊C₄	—	10	1	no	—
1551	C₄⋊C₄	—	10	1	no	—
1552	C₄⋊C₄	—	10	1	no	—
1553	C₄⋊C₄	—	10	1	no	—
1554	C₄⋊C₄	—	10	1	no	—
1555	C₄⋊C₄	—	10	1	no	—
1556	C₄⋊C₄	—	10	1	no	—
1557	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1558	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1559	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1560	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1561	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1562	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1563	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1564	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1565	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1566	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1567	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1568	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	10	1	no	—
1587	C₂²⋊C₄	—	10	1	no	—
1588	C₂²⋊C₄	—	10	1	no	—
1589	C₂²⋊C₄	—	10	1	no	—
1590	C₂²⋊C₄	—	10	1	no	—
1591	C₂²⋊C₄	—	10	1	no	—
1592	C₂²⋊C₄	—	10	1	no	—
1593	C₂²⋊C₄	—	10	1	no	—
1594	C₂²⋊C₄	—	10	1	no	—
1595	C₂²⋊C₄	—	10	1	no	—
1596	C₂²⋊C₄	—	10	1	no	—
1597	C₂²⋊C₄	—	10	1	no	—
1598	C₂²⋊C₄	—	10	1	no	—
1599	C₂²⋊C₄	—	10	1	no	—
1600	C₂²⋊C₄	—	10	1	no	—
1601	C₂²⋊C₄	—	10	1	no	—
1602	C₂²⋊C₄	—	10	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1606	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1607	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1608	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1609	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1610	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1611	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1612	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1613	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1614	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1615	C₄²	—	2	1	no	—
1616	C₄²	—	10	1	no	—
1617	C₄²	—	10	1	no	—
1618	C₄²	—	10	1	no	—
1619	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1620	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1621	C₄²	C₂³×D₅	1	1	yes	characteristic
1622	C₄²	C₂³×D₅	1	1	yes	characteristic
1623	C₄²	C₂³×D₅	1	1	yes	characteristic
1624	C₄²	C₂³×D₅	1	1	yes	characteristic
1625	C₂×C₅	—	2	2	no	—
1626	C₂×C₅	—	4	1	no	—
1627	C₂×C₅	—	4	1	no	—
1628	C₂×C₅	—	8	1	no	—
1629	C₂×C₅	—	8	1	no	—
1630	C₂×C₅	—	8	1	no	—
1631	C₂×C₅	—	8	1	no	—
1632	C₂×C₅	—	8	1	no	—
1633	C₂×C₅	#3488	1	1	yes	characteristic
1634	C₂×C₅	C₂×#576	1	1	yes	characteristic
1635	C₂×C₅	#3585	1	1	yes	characteristic
1636	D₅	—	4	2	no	—
1637	D₅	—	8	1	no	—
1638	D₅	—	8	1	no	—
1639	C₂³	—	2	1	no	—
1640	C₂³	—	2	1	no	—
1641	C₂³	—	2	1	no	—
1642	C₂³	—	2	1	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	4	2	no	—
1645	C₂³	—	4	2	no	—
1646	C₂³	—	8	1	no	—
1647	C₂³	—	8	1	no	—
1648	C₂³	—	8	1	no	—
1649	C₂³	—	8	1	no	—
1650	C₂³	—	8	1	no	—
1651	C₂³	—	8	1	no	—
1652	C₂³	—	8	1	no	—
1653	C₂³	—	8	1	no	—
1654	C₂³	—	8	1	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	—	10	1	no	—
1657	C₂³	—	10	1	no	—
1658	C₂³	—	10	1	no	—
1659	C₂³	—	20	2	no	—
1660	C₂³	—	20	2	no	—
1661	C₂³	—	20	2	no	—
1662	C₂³	—	40	1	no	—
1663	C₂³	—	40	1	no	—
1664	C₂³	—	40	1	no	—
1665	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1666	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1667	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	4	1	no	—
1671	Q₈	—	10	1	no	—
1672	Q₈	—	10	1	no	—
1673	Q₈	—	40	1	no	—
1674	D₄	—	2	2	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	1	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	2	1	no	—
1683	D₄	—	2	1	no	—
1684	D₄	—	2	1	no	—
1685	D₄	—	2	1	no	—
1686	D₄	—	4	1	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	5	2	no	—
1691	D₄	—	8	1	no	—
1692	D₄	—	8	1	no	—
1693	D₄	—	8	1	no	—
1694	D₄	—	8	1	no	—
1695	D₄	—	8	1	no	—
1696	D₄	—	8	1	no	—
1697	D₄	—	8	1	no	—
1698	D₄	—	8	1	no	—
1699	D₄	—	8	1	no	—
1700	D₄	—	8	1	no	—
1701	D₄	—	8	1	no	—
1702	D₄	—	8	1	no	—
1703	D₄	—	8	1	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	D₄	—	8	1	no	—
1711	D₄	—	10	1	no	—
1712	D₄	—	10	1	no	—
1713	D₄	—	10	1	no	—
1714	D₄	—	10	1	no	—
1715	D₄	—	10	1	no	—
1716	D₄	—	20	2	no	—
1717	D₄	—	20	2	no	—
1718	D₄	—	20	2	no	—
1719	D₄	—	20	2	no	—
1720	D₄	—	40	1	no	—
1721	D₄	—	40	1	no	—
1722	D₄	—	40	1	no	—
1723	D₄	—	40	1	no	—
1724	D₄	—	40	1	no	—
1725	C₂×C₄	—	2	2	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	8	1	no	—
1739	C₂×C₄	—	8	1	no	—
1740	C₂×C₄	—	8	1	no	—
1741	C₂×C₄	—	8	1	no	—
1742	C₂×C₄	—	8	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	10	1	no	—
1747	C₂×C₄	—	10	1	no	—
1748	C₂×C₄	—	20	2	no	—
1749	C₂×C₄	—	20	2	no	—
1750	C₂×C₄	—	40	1	no	—
1751	C₂×C₄	—	40	1	no	—
1752	C₂×C₄	—	40	1	no	—
1753	C₂×C₄	—	40	1	no	—
1754	C₂×C₄	—	40	1	no	—
1755	C₂×C₄	—	40	1	no	—
1756	C₂×C₄	—	40	1	no	—
1757	C₂×C₄	—	40	1	no	—
1758	C₂×C₄	—	40	1	no	—
1759	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1761	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1762	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1763	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1764	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1765	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1766	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1767	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1768	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1769	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1770	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1771	C₈	—	10	1	no	—
1772	C₈	—	10	1	no	—
1773	C₈	—	10	1	no	—
1774	C₈	—	10	1	no	—
1775	C₈	—	10	1	no	—
1776	C₈	—	10	1	no	—
1777	C₈	—	10	1	no	—
1778	C₈	—	10	1	no	—
1779	C₅	#62007	1	1	yes	characteristic, complemented, Sylow
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	4	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	10	2	no	—
1804	C₂²	—	16	2	no	—
1805	C₂²	—	16	2	no	—
1806	C₂²	—	16	2	no	—
1807	C₂²	—	16	2	no	—
1808	C₂²	—	20	1	no	—
1809	C₂²	—	20	1	no	—
1810	C₂²	—	20	1	no	—
1811	C₂²	—	20	1	no	—
1812	C₂²	—	20	1	no	—
1813	C₂²	—	20	1	no	—
1814	C₂²	—	20	1	no	—
1815	C₂²	—	20	1	no	—
1816	C₂²	—	40	4	no	—
1817	C₂²	—	80	2	no	—
1818	C₂²	#66169	1	2	yes	—
1819	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	1	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	2	1	no	—
1826	C₄	—	2	1	no	—
1827	C₄	—	2	1	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	20	1	no	—
1835	C₄	—	20	1	no	—
1836	C₄	—	20	1	no	—
1837	C₄	—	20	1	no	—
1838	C₄	—	20	1	no	—
1839	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1840	C₄	#66285	1	1	yes	characteristic
1841	C₂	—	2	2	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	1	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	—	8	1	no	—
1847	C₂	—	8	1	no	—
1848	C₂	—	8	1	no	—
1849	C₂	—	20	2	no	—
1850	C₂	—	40	1	no	—
1851	C₂	—	40	1	no	—
1852	C₂	C₂×#66169	1	1	yes	characteristic
1853	C₂	#10619178	1	1	yes	characteristic
1854	C₂	#10619186	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3543	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3543	D₅
hypocenter	C₅	#62007
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3543

Complements

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

N	H ≅ G/N	type
1. C₅×#3543	C₂	semidirect
2. #10618062	C₂	semidirect
3. #10615447	C₂	semidirect
4. #10615445	C₂	semidirect
5. #10615320	C₂	semidirect
6. #10615312	C₂	semidirect
7. #10615308	C₂	semidirect
8. #10615303	C₂	semidirect
9. #10615236	C₂	semidirect
10. #10615233	C₂	semidirect
11. #10615227	C₂	semidirect
12. #10615225	C₂	semidirect
13. D₄×#686	C₂	semidirect
14. #10615219	C₂	semidirect
15. #10615219	C₂	semidirect
16. #10615216	C₂	semidirect
17. #10615215	C₂	semidirect
18. #10615213	C₂	semidirect
19. #10615169	C₂	semidirect
20. #10615168	C₂	semidirect
21. #10615166	C₂	semidirect
22. #10615165	C₂	semidirect
23. #10615120	C₂	semidirect
24. #10615119	C₂	semidirect
25. #10615116	C₂	semidirect
26. #10615115	C₂	semidirect
27. #10614898	C₂	semidirect
28. C₂×#65361	C₂	semidirect
29. #10614880	C₂	semidirect
30. #10614874	C₂	semidirect
31. #10614861	C₂	semidirect
34. C₅×#559	C₂²	semidirect
35. C₅×#550	C₂²	semidirect
36. C₅×#550	C₂²	semidirect
39. C₅×#546	C₂²	semidirect
42. C₅×D₄²	C₂²	semidirect
43. C₅×D₄²	C₂²	semidirect
45. C₅×#540	C₂²	semidirect
46. C₅×#540	C₂²	semidirect
48. C₅×#535	C₂²	semidirect
49. C₅×#535	C₂²	semidirect
52. C₂×C₅×#127	C₂²	semidirect
54. C₅×#529	C₂²	semidirect
55. C₂×#4096	C₂²	semidirect
56. C₂×#4095	C₂²	semidirect
57. C₂×#4078	C₂²	semidirect
58. C₂²×#686	C₂²	semidirect
59. C₂²×#686	C₂²	semidirect
60. C₂²×#686	C₂²	semidirect
69. #65919	C₂²	semidirect
70. #65913	C₂²	semidirect
71. #65899	C₂²	semidirect
72. #65889	C₂²	semidirect
73. #65884	C₂²	semidirect
74. #65884	C₂²	semidirect
75. D₄×D₂₀	C₂²	semidirect
76. #65875	C₂²	semidirect
77. #65869	C₂²	semidirect
78. #65868	C₂²	semidirect
79. #65857	C₂²	semidirect
80. #65855	C₂²	semidirect
81. #65813	C₂²	semidirect
82. C₂×C₄×D₂₀	C₂²	semidirect
83. #65528	C₂²	semidirect
84. #65527	C₂²	semidirect
85. #65527	C₂²	semidirect
86. #65527	C₂²	semidirect
87. #65522	C₂²	semidirect
88. #65521	C₂²	semidirect
89. #65507	C₂²	semidirect
90. #65507	C₂²	semidirect
91. #65507	C₂²	semidirect
92. #65506	C₂²	semidirect
93. #65506	C₂²	semidirect
94. #65506	C₂²	semidirect
95. #65506	C₂²	semidirect
96. #65506	C₂²	semidirect
97. #65504	C₂²	semidirect
98. C₂×#3964	C₂²	semidirect
99. C₂×#3964	C₂²	semidirect
100. C₂×#3964	C₂²	semidirect
101. #65364	C₂²	semidirect
102. #65364	C₂²	semidirect
103. #65364	C₂²	semidirect
104. #65363	C₂²	semidirect
105. #65363	C₂²	semidirect
106. #65363	C₂²	semidirect
107. #65362	C₂²	semidirect
109. #65361	C₂²	semidirect
110. #65361	C₂²	semidirect
111. #65361	C₂²	semidirect
112. #65361	C₂²	semidirect
113. #65361	C₂²	semidirect
114. #65361	C₂²	semidirect
115. #65361	C₂²	semidirect
116. #65361	C₂²	semidirect
117. #65361	C₂²	semidirect
118. #65361	C₂²	semidirect
119. #65361	C₂²	semidirect
120. #65361	C₂²	semidirect
121. #65360	C₂²	semidirect
122. #65360	C₂²	semidirect
123. #65360	C₂²	semidirect
124. #65359	C₂²	semidirect
125. #65355	C₂²	semidirect
126. #65355	C₂²	semidirect
127. #65355	C₂²	semidirect
128. #65352	C₂²	semidirect
129. #65348	C₂²	semidirect
130. #65347	C₂²	semidirect
131. #65346	C₂²	semidirect
132. #65346	C₂²	semidirect
133. #65346	C₂²	semidirect
134. #65346	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65346	C₂²	semidirect
137. #65345	C₂²	semidirect
138. #65344	C₂²	semidirect
139. #65343	C₂²	semidirect
140. #65343	C₂²	semidirect
141. #65340	C₂²	semidirect
142. #65337	C₂²	semidirect
143. #65335	C₂²	semidirect
144. #65332	C₂²	semidirect
145. #65331	C₂²	semidirect
146. #65330	C₂²	semidirect
147. #65330	C₂²	semidirect
148. #65328	C₂²	semidirect
149. #65328	C₂²	semidirect
150. #65328	C₂²	semidirect
152. #65327	C₂²	semidirect
153. #65327	C₂²	semidirect
154. #65327	C₂²	semidirect
155. #65326	C₂²	semidirect
156. #65326	C₂²	semidirect
158. #65325	C₂²	semidirect
159. #65325	C₂²	semidirect
160. #65324	C₂²	semidirect
161. #65324	C₂²	semidirect
162. #65323	C₂²	semidirect
163. #65322	C₂²	semidirect
164. #65322	C₂²	semidirect
165. #65317	C₂²	semidirect
166. #65315	C₂²	semidirect
167. #65315	C₂²	semidirect
168. #65313	C₂²	semidirect
169. #65313	C₂²	semidirect
170. #65311	C₂²	semidirect
171. #65307	C₂²	semidirect
172. C₄×#687	C₂²	semidirect
173. #65305	C₂²	semidirect
174. #65305	C₂²	semidirect
175. #65305	C₂²	semidirect
176. #65304	C₂²	semidirect
177. #65304	C₂²	semidirect
178. #65303	C₂²	semidirect
179. #65303	C₂²	semidirect
180. #65303	C₂²	semidirect
181. #65303	C₂²	semidirect
182. #65303	C₂²	semidirect
183. C₄×#686	C₂²	semidirect
184. C₄×#686	C₂²	semidirect
185. C₄×#686	C₂²	semidirect
186. #65300	C₂²	semidirect
187. #65300	C₂²	semidirect
188. #65300	C₂²	semidirect
189. #65300	C₂²	semidirect
190. D₄×#168	C₂²	semidirect
191. D₄×#168	C₂²	semidirect
192. #65298	C₂²	semidirect
193. #65298	C₂²	semidirect
194. #65298	C₂²	semidirect
195. #65297	C₂²	semidirect
196. #65296	C₂²	semidirect
197. #65289	C₂²	semidirect
198. #65289	C₂²	semidirect
199. #65288	C₂²	semidirect
200. #65288	C₂²	semidirect
201. #65215	C₂²	semidirect
202. C₂×C₄⋊#168	C₂²	semidirect
485. #3543	D₅	semidirect
753. #559	C₂×D₅	semidirect
760. #550	C₂×D₅	semidirect
761. #550	C₂×D₅	semidirect
768. #546	C₂×D₅	semidirect
772. D₄²	C₂×D₅	semidirect
773. D₄²	C₂×D₅	semidirect
777. #540	C₂×D₅	semidirect
778. #540	C₂×D₅	semidirect
782. #535	C₂×D₅	semidirect
783. #535	C₂×D₅	semidirect
786. C₂×#127	C₂×D₅	semidirect
789. #529	C₂×D₅	semidirect
1779. C₅	#62007	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3543	2
#10618062	2
#10615447	2
#10615445	2
#10615320	2
#10615312	2
#10615308	2
#10615303	2
#10615236	2
#10615233	2
#10615227	2
#10615225	2
D₄×#686	2
#10615219	2
#10615216	2
#10615215	2
#10615213	2
#10615169	2
#10615168	2
#10615166	2
#10615165	2
#10615120	2
#10615119	2
#10615116	2
#10615115	2
#10614898	2
C₂×#65361	2
#10614880	2
#10614874	2
#10614861	2
#62007	5