Subgroups — #12985879

Order 1280.

2032 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617943	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615406	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615396	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615372	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615367	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615352	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615346	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615334	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615332	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615296	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615291	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615279	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615277	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615275	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615274	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615260	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615253	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615195	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615193	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615183	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615177	C₂	1	1	yes	maximal, characteristic, complemented
23	#10615160	C₂	1	1	yes	maximal, characteristic, complemented
24	#10615158	C₂	1	1	yes	maximal, characteristic, complemented
25	#10615142	C₂	1	1	yes	maximal, characteristic, complemented
26	#10615139	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614666	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614659	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614652	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614473	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614466	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4150	C₂²	1	1	yes	characteristic
33	C₂²×#709	C₂²	1	1	yes	characteristic
34	C₅×#563	—	2	1	no	—
35	C₅×#562	—	2	1	no	—
36	C₅×#556	C₂²	1	1	yes	characteristic
37	C₅×#554	—	2	1	no	—
38	C₅×#554	C₂²	1	1	yes	characteristic, complemented
39	C₅×#553	—	2	1	no	—
40	C₅×#553	C₂²	1	1	yes	characteristic, complemented
41	C₅×#552	C₂²	1	1	yes	characteristic
42	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
43	C₅×#548	C₂²	1	1	yes	characteristic
44	C₅×#548	C₂²	1	1	yes	characteristic, complemented
45	C₅×#547	C₂²	1	1	yes	characteristic
46	C₅×#542	—	2	1	no	—
47	C₅×#542	C₂²	1	1	yes	characteristic, complemented
48	C₅×#541	C₂²	1	1	yes	characteristic, complemented
49	C₅×#539	—	2	1	no	—
50	C₅×#538	—	2	1	no	—
51	C₅×#538	—	2	1	no	—
52	C₅×#537	C₂²	1	1	yes	characteristic, complemented
53	C₅×#536	C₂²	1	1	yes	characteristic, complemented
54	C₅×#525	C₂²	1	1	yes	characteristic
55	C₅×#525	C₂²	1	1	yes	characteristic
56	C₂×C₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
57	#66167	C₂²	1	1	yes	characteristic
58	C₂×#4097	C₂²	1	1	yes	characteristic
59	C₂×#4097	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
61	C₂×#4095	C₂²	1	1	yes	characteristic
62	C₂²×#689	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4088	C₂²	1	1	yes	characteristic
64	C₂×#4088	C₂²	1	1	yes	characteristic
65	C₂×#4088	C₂²	1	1	yes	characteristic, complemented
66	C₂×#4070	C₂²	1	1	yes	characteristic
67	#65989	—	2	1	no	—
68	#65989	—	2	1	no	—
69	#65962	—	2	1	no	—
70	D₅×C₂²⋊Q₈	—	2	1	no	—
71	#65942	—	2	1	no	—
72	#65940	—	2	1	no	—
73	#65925	—	2	1	no	—
74	#65925	—	2	1	no	—
75	#65886	C₂²	1	1	yes	characteristic
76	#65886	C₂²	1	1	yes	characteristic
77	#65885	C₂²	1	1	yes	characteristic
78	#65885	C₂²	1	1	yes	characteristic
79	#65884	C₂²	1	1	yes	characteristic
80	#65884	C₂²	1	1	yes	characteristic
81	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
82	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
83	#65860	C₂²	1	1	yes	characteristic
84	#65857	C₂²	1	1	yes	characteristic
85	#65528	C₂²	1	1	yes	characteristic
86	#65528	C₂²	1	1	yes	characteristic
87	#65528	C₂²	1	1	yes	characteristic, complemented
88	#65527	C₂²	1	1	yes	characteristic, complemented
89	#65523	C₂²	1	1	yes	characteristic, complemented
90	#65523	C₂²	1	1	yes	characteristic, complemented
91	#65517	C₂²	1	1	yes	characteristic, complemented
92	#65517	C₂²	1	1	yes	characteristic, complemented
93	#65517	C₂²	1	1	yes	characteristic, complemented
94	#65516	C₂²	1	1	yes	characteristic, complemented
95	#65496	C₂²	1	1	yes	characteristic
96	#65496	C₂²	1	1	yes	characteristic
97	#65383	C₂²	1	1	yes	characteristic, complemented
98	#65382	C₂²	1	1	yes	characteristic, complemented
99	#65381	C₂²	1	1	yes	characteristic, complemented
100	#65379	C₂²	1	1	yes	characteristic, complemented
101	#65378	C₂²	1	1	yes	characteristic, complemented
102	#65375	C₂²	1	1	yes	characteristic, complemented
103	#65373	C₂²	1	1	yes	characteristic, complemented
104	#65372	C₂²	1	1	yes	characteristic, complemented
105	#65358	C₂²	1	1	yes	characteristic, complemented
106	#65357	C₂²	1	1	yes	characteristic, complemented
107	#65355	C₂²	1	1	yes	characteristic, complemented
108	#65352	C₂²	1	1	yes	characteristic, complemented
109	#65349	C₂²	1	1	yes	characteristic, complemented
110	#65348	C₂²	1	1	yes	characteristic, complemented
111	#65346	C₂²	1	1	yes	characteristic, complemented
112	#65343	C₂²	1	1	yes	characteristic, complemented
113	#65341	C₂²	1	1	yes	characteristic
114	#65341	C₂²	1	1	yes	characteristic
115	#65341	C₂²	1	1	yes	characteristic
116	#65341	C₂²	1	1	yes	characteristic
117	#65341	C₂²	1	1	yes	characteristic, complemented
118	#65341	C₂²	1	1	yes	characteristic, complemented
119	#65341	C₂²	1	1	yes	characteristic, complemented
120	#65341	C₂²	1	1	yes	characteristic, complemented
121	#65340	C₂²	1	1	yes	characteristic, complemented
122	#65339	C₂²	1	1	yes	characteristic
123	#65339	C₂²	1	1	yes	characteristic
124	#65339	C₂²	1	1	yes	characteristic, complemented
125	#65339	C₂²	1	1	yes	characteristic, complemented
126	#65339	C₂²	1	1	yes	characteristic, complemented
127	#65339	C₂²	1	1	yes	characteristic, complemented
128	#65339	C₂²	1	1	yes	characteristic, complemented
129	#65339	C₂²	1	1	yes	characteristic, complemented
130	#65338	C₂²	1	1	yes	characteristic, complemented
131	#65337	C₂²	1	1	yes	characteristic, complemented
132	#65337	C₂²	1	1	yes	characteristic, complemented
133	#65336	C₂²	1	1	yes	characteristic
134	#65336	C₂²	1	1	yes	characteristic
135	#65336	C₂²	1	1	yes	characteristic
136	#65336	C₂²	1	1	yes	characteristic
137	#65336	C₂²	1	1	yes	characteristic
138	#65336	C₂²	1	1	yes	characteristic
139	#65336	C₂²	1	1	yes	characteristic
140	#65336	C₂²	1	1	yes	characteristic
141	#65336	C₂²	1	1	yes	characteristic, complemented
142	#65336	C₂²	1	1	yes	characteristic, complemented
143	#65336	C₂²	1	1	yes	characteristic, complemented
144	#65335	C₂²	1	1	yes	characteristic
145	#65335	C₂²	1	1	yes	characteristic
146	#65333	C₂²	1	1	yes	characteristic, complemented
147	#65332	C₂²	1	1	yes	characteristic, complemented
148	#65332	C₂²	1	1	yes	characteristic, complemented
149	#65331	C₂²	1	1	yes	characteristic, complemented
150	#65331	C₂²	1	1	yes	characteristic, complemented
151	#65330	C₂²	1	1	yes	characteristic, complemented
152	#65329	C₂²	1	1	yes	characteristic, complemented
153	#65329	C₂²	1	1	yes	characteristic, complemented
154	#65328	C₂²	1	1	yes	characteristic, complemented
155	#65326	C₂²	1	1	yes	characteristic
156	#65326	C₂²	1	1	yes	characteristic
157	#65326	C₂²	1	1	yes	characteristic
158	#65326	C₂²	1	1	yes	characteristic
159	#65326	C₂²	1	1	yes	characteristic, complemented
160	#65323	C₂²	1	1	yes	characteristic, complemented
161	#65320	C₂²	1	1	yes	characteristic, complemented
162	#65320	C₂²	1	1	yes	characteristic, complemented
163	#65320	C₂²	1	1	yes	characteristic, complemented
164	#65319	C₂²	1	1	yes	characteristic, complemented
165	#65319	C₂²	1	1	yes	characteristic, complemented
166	C₄×#689	C₂²	1	1	yes	characteristic, complemented
167	#65317	C₂²	1	1	yes	characteristic, complemented
168	#65317	C₂²	1	1	yes	characteristic, complemented
169	#65317	C₂²	1	1	yes	characteristic, complemented
170	#65315	C₂²	1	1	yes	characteristic, complemented
171	C₄×#688	C₂²	1	1	yes	characteristic, complemented
172	C₄×#688	C₂²	1	1	yes	characteristic, complemented
173	#65308	C₂²	1	1	yes	characteristic, complemented
174	C₄×#687	C₂²	1	1	yes	characteristic, complemented
175	#65305	C₂²	1	1	yes	characteristic, complemented
176	#65303	C₂²	1	1	yes	characteristic, complemented
177	#65301	C₂²	1	1	yes	characteristic
178	#65301	C₂²	1	1	yes	characteristic
179	#65301	C₂²	1	1	yes	characteristic, complemented
180	#65301	C₂²	1	1	yes	characteristic, complemented
181	#65300	C₂²	1	1	yes	characteristic
182	#65300	C₂²	1	1	yes	characteristic
183	#65300	C₂²	1	1	yes	characteristic, complemented
184	#65300	C₂²	1	1	yes	characteristic, complemented
185	#65293	C₂²	1	1	yes	characteristic
186	#65293	C₂²	1	1	yes	characteristic, complemented
187	#65292	C₂²	1	1	yes	characteristic, complemented
188	#65291	C₂²	1	1	yes	characteristic, complemented
189	#65290	C₂²	1	1	yes	characteristic
190	#65289	C₂²	1	1	yes	characteristic, complemented
191	#65289	C₂²	1	1	yes	characteristic, complemented
192	#65285	C₂²	1	1	yes	characteristic
193	#65285	C₂²	1	1	yes	characteristic
194	#65285	C₂²	1	1	yes	characteristic, complemented
195	#65260	C₂²	1	1	yes	characteristic, complemented
196	#65260	C₂²	1	1	yes	characteristic, complemented
197	#65260	C₂²	1	1	yes	characteristic, complemented
198	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
199	#65257	C₂²	1	1	yes	characteristic, complemented
200	#65255	C₂²	1	1	yes	characteristic
201	#65255	C₂²	1	1	yes	characteristic
202	#65255	C₂²	1	1	yes	characteristic, complemented
203	#61655	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
208	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
210	C₂²×C₂²⋊D₅	—	2	1	no	—
211	#4150	—	4	2	no	—
212	#4150	—	4	2	no	—
213	C₂×Q₈×D₅	—	2	1	no	—
214	C₂×#711	—	2	1	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	—	2	1	no	—
217	C₂×#709	—	2	1	no	—
218	C₂×#709	—	2	1	no	—
219	C₂×#709	—	4	2	no	—
220	C₂×#709	—	4	2	no	—
221	C₂×#709	C₂³	1	1	yes	characteristic
222	C₂×#709	C₂³	1	1	yes	characteristic
223	C₂×#709	C₂³	1	1	yes	characteristic
224	C₂×#709	C₂³	1	1	yes	characteristic
225	C₂×#709	C₂³	1	1	yes	characteristic
226	C₂×#709	C₂³	1	1	yes	characteristic
227	C₂²×D₂₀	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₅	—	2	1	no	—
229	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
230	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
231	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
233	C₅×C₄⋊Q₈	—	2	1	no	—
234	C₅×C₄⋊Q₈	—	2	1	no	—
235	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
236	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
237	C₅×#126	—	2	1	no	—
238	C₅×#126	—	2	1	no	—
239	C₅×#126	—	2	1	no	—
240	C₅×#126	—	2	1	no	—
241	C₅×#126	—	2	1	no	—
242	C₅×#126	—	2	1	no	—
243	C₅×#126	—	2	1	no	—
244	C₅×#125	—	2	1	no	—
245	C₅×#125	—	2	1	no	—
246	C₅×#125	—	2	1	no	—
247	C₅×#125	—	2	1	no	—
248	C₅×#125	C₂³	1	1	yes	characteristic
249	C₅×#124	—	2	1	no	—
250	C₅×#124	—	2	1	no	—
251	C₅×#124	—	2	1	no	—
252	C₅×#124	—	2	1	no	—
253	C₅×#124	—	2	1	no	—
254	C₅×#124	C₂³	1	1	yes	characteristic
255	C₅×#123	—	2	1	no	—
256	C₅×#123	—	2	1	no	—
257	C₅×#123	—	2	1	no	—
258	C₅×#123	—	2	1	no	—
259	C₅×#123	—	2	1	no	—
260	C₅×#123	—	2	1	no	—
261	C₅×#123	—	2	1	no	—
262	C₅×#123	—	2	1	no	—
263	C₅×#123	D₄	1	1	yes	characteristic
264	C₅×#123	D₄	1	1	yes	characteristic
265	C₅×C₂²⋊Q₈	—	2	1	no	—
266	C₅×C₂²⋊Q₈	—	2	1	no	—
267	C₅×C₂²⋊Q₈	—	2	1	no	—
268	C₅×C₂²⋊Q₈	—	2	1	no	—
269	C₅×C₂²⋊Q₈	—	2	1	no	—
270	C₅×C₂²⋊Q₈	—	2	1	no	—
271	C₅×C₂²⋊Q₈	—	2	1	no	—
272	C₅×C₂²⋊Q₈	—	2	1	no	—
273	C₅×C₂²⋊Q₈	—	2	1	no	—
274	C₅×C₂²⋊Q₈	—	2	1	no	—
275	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
276	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
277	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
278	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
279	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
280	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
281	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
282	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
283	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
284	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
285	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
286	C₅×#121	—	2	1	no	—
287	C₅×#121	—	2	1	no	—
288	C₅×#121	—	2	1	no	—
289	C₅×#121	—	2	1	no	—
290	C₅×#121	—	2	1	no	—
291	C₅×#121	—	2	1	no	—
292	C₅×#121	—	2	1	no	—
293	C₅×#121	D₄	1	1	yes	characteristic
294	C₅×#121	D₄	1	1	yes	characteristic
295	C₅×#121	C₂³	1	1	yes	characteristic
296	C₅×#121	C₂³	1	1	yes	characteristic
297	C₅×#121	C₂³	1	1	yes	characteristic
298	C₅×#120	—	2	1	no	—
299	C₅×#120	D₄	1	1	yes	characteristic
300	C₅×#120	D₄	1	1	yes	characteristic
301	C₄×C₅×Q₈	—	2	1	no	—
302	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
303	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
304	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
305	C₄×C₅×D₄	—	2	1	no	—
306	C₄×C₅×D₄	—	2	1	no	—
307	C₄×C₅×D₄	—	2	1	no	—
308	C₄×C₅×D₄	—	2	1	no	—
309	C₄×C₅×D₄	—	2	1	no	—
310	C₄×C₅×D₄	—	2	1	no	—
311	C₄×C₅×D₄	—	2	1	no	—
312	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
313	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
314	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
315	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
316	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
317	C₅×#117	—	2	1	no	—
318	C₅×#117	C₂³	1	1	yes	characteristic
319	C₅×#117	C₂³	1	1	yes	characteristic
320	C₅×#117	C₂³	1	1	yes	characteristic
321	C₂×C₅×C₄⋊C₄	—	2	1	no	—
322	C₂×C₅×C₄⋊C₄	—	2	1	no	—
323	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
324	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
326	C₂×C₂²⋊Dic₅	—	2	1	no	—
327	#4097	—	4	2	no	—
328	#4097	—	4	2	no	—
329	#4096	—	4	2	no	—
330	#4095	—	4	2	no	—
331	#4092	—	2	1	no	—
332	C₂×#689	—	4	2	no	—
333	C₂×#689	C₂³	1	1	yes	characteristic
334	C₂×#689	C₂³	1	1	yes	characteristic
335	C₂×#689	C₂³	1	1	yes	characteristic
336	C₂×#689	C₂³	1	1	yes	characteristic
337	C₂×#689	C₂³	1	1	yes	characteristic
338	C₂×#689	C₂³	1	1	yes	characteristic
339	C₂×#689	C₂³	1	1	yes	characteristic
340	C₂×#689	C₂³	1	1	yes	characteristic
341	C₂×#689	C₂³	1	1	yes	characteristic
342	C₂×#689	C₂³	1	1	yes	characteristic
343	C₂×#689	C₂³	1	1	yes	characteristic
344	C₂×#689	C₂³	1	1	yes	characteristic
345	#4088	—	4	2	no	—
346	#4088	—	4	2	no	—
347	#4088	—	4	2	no	—
348	C₂×#688	C₂³	1	1	yes	characteristic
349	C₂×#688	C₂³	1	1	yes	characteristic
350	C₂×#688	C₂³	1	1	yes	characteristic
351	C₂×#688	C₂³	1	1	yes	characteristic
352	C₂×#688	C₂³	1	1	yes	characteristic
353	C₂×#688	C₂³	1	1	yes	characteristic
354	#4085	—	2	1	no	—
355	#4085	—	2	1	no	—
356	#4085	—	2	1	no	—
357	#4085	—	2	1	no	—
358	#4084	—	2	1	no	—
359	#4084	—	2	1	no	—
360	#4084	—	2	1	no	—
361	#4083	—	2	1	no	—
362	#4083	—	2	1	no	—
363	D₄×Dic₅	—	2	1	no	—
364	D₄×Dic₅	—	2	1	no	—
365	C₂×#687	C₂³	1	1	yes	characteristic
366	C₂×#687	C₂³	1	1	yes	characteristic
367	C₂×#687	C₂³	1	1	yes	characteristic
368	C₂×#687	C₂³	1	1	yes	characteristic
369	C₂×#686	C₂³	1	1	yes	characteristic
370	C₂×#686	C₂³	1	1	yes	characteristic
371	#4076	C₂³	1	1	yes	characteristic
372	#4076	C₂³	1	1	yes	characteristic
373	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
374	#4070	—	2	1	no	—
375	#4070	—	2	1	no	—
376	#4070	C₂³	1	1	yes	characteristic
377	#4070	C₂³	1	1	yes	characteristic
378	#4070	C₂³	1	1	yes	characteristic
379	#4070	C₂³	1	1	yes	characteristic
380	#4070	C₂³	1	1	yes	characteristic
381	#4070	C₂³	1	1	yes	characteristic
382	C₂×#683	—	2	1	no	—
383	C₂×#681	C₂³	1	1	yes	characteristic
384	C₂×#681	C₂³	1	1	yes	characteristic
385	C₂×#681	C₂³	1	1	yes	characteristic
386	C₂×#681	C₂³	1	1	yes	characteristic
387	C₂×#681	C₂³	1	1	yes	characteristic
388	C₂×#681	C₂³	1	1	yes	characteristic
389	C₂²×#168	C₂³	1	1	yes	characteristic
390	C₂²×#168	C₂³	1	1	yes	characteristic
391	#4043	—	2	1	no	—
392	#4043	—	2	1	no	—
393	#4042	—	2	1	no	—
394	#4042	—	2	1	no	—
395	#4040	—	2	1	no	—
396	#4040	—	2	1	no	—
397	#4038	—	2	1	no	—
398	D₅×C₄⋊C₄	—	2	1	no	—
399	D₅×C₄⋊C₄	—	2	1	no	—
400	D₅×C₄⋊C₄	—	2	1	no	—
401	#4034	—	2	1	no	—
402	#4034	—	2	1	no	—
403	#4032	—	2	1	no	—
404	#4032	—	2	1	no	—
405	#4031	—	2	1	no	—
406	#4031	—	2	1	no	—
407	#4030	—	2	1	no	—
408	#4030	—	2	1	no	—
409	#4029	—	2	1	no	—
410	#4029	—	2	1	no	—
411	#4029	—	2	1	no	—
412	#4029	—	2	1	no	—
413	#4027	—	2	1	no	—
414	#4027	—	2	1	no	—
415	#4027	—	2	1	no	—
416	#4027	—	2	1	no	—
417	D₅×C₂²⋊C₄	—	2	1	no	—
418	D₅×C₂²⋊C₄	—	2	1	no	—
419	#4024	—	2	1	no	—
420	#4024	—	2	1	no	—
421	#4024	—	2	1	no	—
422	#4024	—	2	1	no	—
423	#4021	C₂³	1	1	yes	characteristic
424	#4021	C₂³	1	1	yes	characteristic
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	C₄×D₂₀	C₂³	1	1	yes	characteristic
427	#4015	C₂³	1	1	yes	characteristic
428	#4015	C₂³	1	1	yes	characteristic
429	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	C₂²⋊#168	C₂³	1	1	yes	characteristic
440	C₂²⋊#168	C₂³	1	1	yes	characteristic
441	C₂²⋊#168	C₂³	1	1	yes	characteristic
442	C₂²⋊#168	C₂³	1	1	yes	characteristic
443	C₂²⋊#168	C₂³	1	1	yes	characteristic
444	C₂²⋊#168	C₂³	1	1	yes	characteristic
445	C₂²⋊#168	C₂³	1	1	yes	characteristic
446	C₂²⋊#168	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	#3942	C₂³	1	1	yes	characteristic
452	#3942	C₂³	1	1	yes	characteristic
453	#3942	C₂³	1	1	yes	characteristic
454	#3942	C₂³	1	1	yes	characteristic
455	#3942	C₂³	1	1	yes	characteristic
456	#3942	C₂³	1	1	yes	characteristic
457	#3942	C₂³	1	1	yes	characteristic
458	#3942	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3942	C₂³	1	1	yes	characteristic
464	#3942	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3941	C₂³	1	1	yes	characteristic
468	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3941	C₂³	1	1	yes	characteristic
471	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3940	C₂³	1	1	yes	characteristic
478	#3940	C₂³	1	1	yes	characteristic
479	#3940	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	C₂³	1	1	yes	characteristic
482	#3939	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	C₄⋊#168	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	#3935	C₂³	1	1	yes	characteristic
489	C₄×#168	C₂³	1	1	yes	characteristic
490	C₄×#168	C₂³	1	1	yes	characteristic
491	#3541	D₅	1	1	yes	characteristic, complemented
492	#3489	—	5	1	no	—
493	#3331	—	5	1	no	—
494	#3328	—	5	1	no	—
495	#3326	—	5	1	no	—
496	#3323	—	5	1	no	—
497	#3316	—	5	1	no	—
498	#3312	—	5	1	no	—
499	#3311	—	5	1	no	—
500	#3307	—	5	1	no	—
501	#3277	—	5	1	no	—
502	#3276	—	5	1	no	—
503	#3276	—	5	1	no	—
504	#3275	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3270	—	5	1	no	—
507	#3269	—	5	1	no	—
508	#3267	—	5	1	no	—
509	#3225	—	5	1	no	—
510	#3223	—	5	1	no	—
511	#3204	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3196	—	5	1	no	—
514	#3195	—	5	1	no	—
515	#3125	—	5	1	no	—
516	#3120	—	5	1	no	—
517	#3013	—	5	1	no	—
518	#3011	—	5	1	no	—
519	#3007	—	5	1	no	—
520	#3005	—	5	1	no	—
521	#2978	—	5	1	no	—
522	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
523	C₂³×D₅	—	2	1	no	—
524	C₅×#41	—	4	1	no	—
525	C₅×#41	—	4	1	no	—
526	C₅×#41	—	4	1	no	—
527	C₅×#41	—	4	1	no	—
528	C₅×#41	—	4	1	no	—
529	C₅×#41	—	4	1	no	—
530	C₂×C₅×Q₈	—	2	1	no	—
531	C₂×C₅×Q₈	—	2	1	no	—
532	C₂×C₅×Q₈	—	2	1	no	—
533	C₂×C₅×Q₈	—	4	1	no	—
534	C₂×C₅×Q₈	—	4	1	no	—
535	C₂×C₅×Q₈	—	4	1	no	—
536	C₂×C₅×Q₈	—	4	1	no	—
537	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
538	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
539	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
540	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
547	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
548	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
549	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
550	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
551	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
552	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
553	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₅	—	2	1	no	—
555	C₂²×C₄×C₅	—	2	1	no	—
556	C₂²×C₄×C₅	—	2	1	no	—
557	C₂²×C₄×C₅	—	2	1	no	—
558	C₂²×C₄×C₅	—	2	1	no	—
559	C₂²×C₄×C₅	—	2	1	no	—
560	C₂²×C₄×C₅	—	2	1	no	—
561	C₂²×C₄×C₅	—	4	1	no	—
562	C₂²×C₄×C₅	—	4	1	no	—
563	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
564	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
565	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
566	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
567	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
568	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
571	C₂×C₂²⋊D₅	—	2	1	no	—
572	C₂×C₂²⋊D₅	—	2	1	no	—
573	C₂×C₂²⋊D₅	—	2	1	no	—
574	C₂×C₂²⋊D₅	—	2	1	no	—
575	C₂×C₂²⋊D₅	—	2	1	no	—
576	C₂×C₂²⋊D₅	—	2	1	no	—
577	C₂×C₂²⋊D₅	—	2	1	no	—
578	C₂×C₂²⋊D₅	—	2	1	no	—
579	C₂×C₂²⋊D₅	—	4	4	no	—
580	C₂²×Dic₅	—	2	1	no	—
581	C₂²×Dic₅	—	2	1	no	—
582	C₂²×Dic₅	—	2	1	no	—
583	C₂²×Dic₅	—	2	1	no	—
584	C₂²×Dic₅	—	2	1	no	—
585	Q₈×D₅	—	4	4	no	—
586	#711	—	4	4	no	—
587	#711	—	4	4	no	—
588	#711	—	4	4	no	—
589	#709	—	2	2	no	—
590	#709	—	2	2	no	—
591	#709	—	2	2	no	—
592	#709	—	2	2	no	—
593	#709	—	2	2	no	—
594	#709	—	2	2	no	—
595	#709	—	4	1	no	—
596	#709	—	4	1	no	—
597	#709	—	4	1	no	—
598	#709	—	4	1	no	—
599	#709	—	4	1	no	—
600	#709	—	4	1	no	—
601	#709	—	4	4	no	—
602	#709	—	4	4	no	—
603	C₂×D₂₀	—	2	2	no	—
604	C₂×D₂₀	—	2	1	no	—
605	C₂×D₂₀	—	4	1	no	—
606	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
607	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	4	4	no	—
617	C₂×Dic₁₀	—	2	2	no	—
618	C₂×Dic₁₀	—	2	2	no	—
619	C₂×Dic₁₀	—	2	2	no	—
620	C₂×Dic₁₀	—	2	1	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	—	4	1	no	—
625	C₂×Dic₁₀	—	4	1	no	—
626	C₂×Dic₁₀	—	4	1	no	—
627	C₂×Dic₁₀	—	4	1	no	—
628	C₂×Dic₁₀	—	4	1	no	—
629	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
630	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
631	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
633	C₅×C₄⋊C₄	—	2	1	no	—
634	C₅×C₄⋊C₄	—	2	1	no	—
635	C₅×C₄⋊C₄	—	2	1	no	—
636	C₅×C₄⋊C₄	—	2	1	no	—
637	C₅×C₄⋊C₄	—	2	1	no	—
638	C₅×C₄⋊C₄	—	2	1	no	—
639	C₅×C₄⋊C₄	—	2	1	no	—
640	C₅×C₄⋊C₄	—	2	1	no	—
641	C₅×C₄⋊C₄	—	2	1	no	—
642	C₅×C₄⋊C₄	—	2	1	no	—
643	C₅×C₄⋊C₄	—	2	1	no	—
644	C₅×C₄⋊C₄	—	2	1	no	—
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	—	2	1	no	—
647	C₅×C₄⋊C₄	—	2	1	no	—
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
657	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
658	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
660	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	—	2	1	no	—
668	C₅×C₂²⋊C₄	—	2	1	no	—
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₅×C₂²⋊C₄	—	2	1	no	—
671	C₅×C₂²⋊C₄	—	2	1	no	—
672	C₅×C₂²⋊C₄	—	2	1	no	—
673	C₅×C₂²⋊C₄	—	2	1	no	—
674	C₅×C₂²⋊C₄	—	2	1	no	—
675	C₅×C₂²⋊C₄	—	2	1	no	—
676	C₅×C₂²⋊C₄	—	2	1	no	—
677	C₅×C₂²⋊C₄	—	2	1	no	—
678	C₅×C₂²⋊C₄	—	2	1	no	—
679	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
680	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
681	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
682	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
683	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
684	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
685	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
686	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
687	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₄²×C₅	—	2	1	no	—
690	C₄²×C₅	—	2	1	no	—
691	C₄²×C₅	—	2	1	no	—
692	C₄²×C₅	—	2	1	no	—
693	C₄²×C₅	—	2	1	no	—
694	C₄²×C₅	C₂⁴	1	1	yes	characteristic
695	C₄²×C₅	C₂⁴	1	1	yes	characteristic
696	C₂²⋊Dic₅	—	2	1	no	—
697	C₂²⋊Dic₅	—	2	1	no	—
698	C₂²⋊Dic₅	—	2	1	no	—
699	C₂²⋊Dic₅	—	2	1	no	—
700	C₂²⋊Dic₅	—	2	1	no	—
701	C₂²⋊Dic₅	—	2	1	no	—
702	#689	—	2	2	no	—
703	#689	—	2	2	no	—
704	#689	—	2	2	no	—
705	#689	—	4	1	no	—
706	#689	—	4	1	no	—
707	#689	—	4	1	no	—
708	#689	—	4	1	no	—
709	#689	—	4	1	no	—
710	#689	—	4	1	no	—
711	#689	—	4	1	no	—
712	#689	—	4	1	no	—
713	#689	—	4	1	no	—
714	#688	—	2	2	no	—
715	#688	—	2	2	no	—
716	#688	—	2	2	no	—
717	#688	—	4	1	no	—
718	#688	—	4	1	no	—
719	#688	—	4	1	no	—
720	#687	—	2	2	no	—
721	#687	—	4	1	no	—
722	#687	—	4	1	no	—
723	#687	—	4	1	no	—
724	#686	—	2	2	no	—
725	#686	—	4	1	no	—
726	#685	—	2	1	no	—
727	#685	—	2	1	no	—
728	#685	—	2	1	no	—
729	#685	—	2	1	no	—
730	#685	—	2	1	no	—
731	#685	—	2	1	no	—
732	#685	—	2	1	no	—
733	#685	—	2	1	no	—
734	C₄⋊Dic₅	—	2	1	no	—
735	C₄⋊Dic₅	—	2	1	no	—
736	C₄⋊Dic₅	—	2	1	no	—
737	C₄⋊Dic₅	—	2	1	no	—
738	C₄⋊Dic₅	—	2	1	no	—
739	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
740	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	#683	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	#681	—	4	1	no	—
752	#681	—	4	1	no	—
753	#681	—	4	1	no	—
754	#681	—	4	1	no	—
755	#681	—	4	1	no	—
756	#681	—	4	1	no	—
757	C₂×#168	—	4	1	no	—
758	C₂×#168	—	4	1	no	—
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	C₂×#168	C₂⁴	1	1	yes	characteristic
761	C₂×#168	C₂⁴	1	1	yes	characteristic
762	C₂×#168	C₂⁴	1	1	yes	characteristic
763	C₂×#168	C₂⁴	1	1	yes	characteristic
764	C₂×#168	C₂⁴	1	1	yes	characteristic
765	C₂×#168	C₂⁴	1	1	yes	characteristic
766	C₂×#168	C₂⁴	1	1	yes	characteristic
767	C₂×2₋¹⁺⁴	—	5	1	no	—
768	C₂²×#41	—	5	1	no	—
769	C₂×#137	—	5	1	no	—
770	C₂×#137	—	5	1	no	—
771	C₂×#137	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#137	—	5	1	no	—
774	C₂×AGL(1,ℤ/8)	—	5	1	no	—
775	C₂×#135	—	5	1	no	—
776	C₂²×Q₁₆	—	5	1	no	—
777	#563	—	2	1	no	—
778	#562	—	2	1	no	—
779	#556	C₂×D₅	1	1	yes	characteristic
780	#554	—	2	1	no	—
781	#554	C₂×D₅	1	1	yes	characteristic, complemented
782	#553	—	2	1	no	—
783	#553	C₂×D₅	1	1	yes	characteristic, complemented
784	#552	C₂×D₅	1	1	yes	characteristic
785	D₄×Q₈	—	5	1	no	—
786	D₄×Q₈	—	5	1	no	—
787	D₄×Q₈	C₂×D₅	1	1	yes	characteristic, complemented
788	#548	—	5	1	no	—
789	#548	—	5	1	no	—
790	#548	C₂×D₅	1	1	yes	characteristic
791	#548	C₂×D₅	1	1	yes	characteristic, complemented
792	#547	—	5	1	no	—
793	#547	—	5	1	no	—
794	#547	—	10	1	no	—
795	#547	—	10	1	no	—
796	#547	C₂×D₅	1	1	yes	characteristic
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#542	—	2	1	no	—
802	#542	C₂×D₅	1	1	yes	characteristic, complemented
803	#541	C₂×D₅	1	1	yes	characteristic, complemented
804	#539	—	2	1	no	—
805	#538	—	2	1	no	—
806	#538	—	2	1	no	—
807	#537	—	5	1	no	—
808	#537	—	10	1	no	—
809	#537	C₂×D₅	1	1	yes	characteristic, complemented
810	#536	—	5	1	no	—
811	#536	—	10	1	no	—
812	#536	C₂×D₅	1	1	yes	characteristic, complemented
813	#525	—	10	1	no	—
814	#525	C₂×D₅	1	1	yes	characteristic
815	#525	C₂×D₅	1	1	yes	characteristic
816	C₂×C₂²⋊Q₈	—	5	1	no	—
817	C₂×C₂²⋊Q₈	—	10	1	no	—
818	C₂×C₂²⋊Q₈	C₂×D₅	1	1	yes	characteristic
819	#520	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	—	5	1	no	—
822	#495	—	5	1	no	—
823	#494	—	5	1	no	—
824	#491	—	5	1	no	—
825	#489	—	5	1	no	—
826	#488	—	5	1	no	—
827	#487	—	5	1	no	—
828	#485	—	5	1	no	—
829	#485	—	5	1	no	—
830	#485	—	5	1	no	—
831	#484	—	5	1	no	—
832	#483	—	5	1	no	—
833	#483	—	5	1	no	—
834	#483	—	5	1	no	—
835	#483	—	5	1	no	—
836	#483	—	5	1	no	—
837	#482	—	5	1	no	—
838	#481	—	5	1	no	—
839	#481	—	5	1	no	—
840	#479	—	5	1	no	—
841	#478	—	5	1	no	—
842	#476	—	5	1	no	—
843	#475	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	—	5	1	no	—
846	#470	—	5	1	no	—
847	#470	—	5	1	no	—
848	#470	—	5	1	no	—
849	#470	—	5	1	no	—
850	#470	—	5	1	no	—
851	#470	—	5	1	no	—
852	#469	—	5	1	no	—
853	#468	—	5	1	no	—
854	#468	—	5	1	no	—
855	#468	—	5	1	no	—
856	#467	—	5	1	no	—
857	#465	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#464	—	5	1	no	—
864	#463	—	5	1	no	—
865	#463	—	5	1	no	—
866	#462	—	5	1	no	—
867	#462	—	5	1	no	—
868	#462	—	5	1	no	—
869	#462	—	5	1	no	—
870	#461	—	5	1	no	—
871	#461	—	5	1	no	—
872	#452	—	5	1	no	—
873	#452	—	5	1	no	—
874	#452	—	5	1	no	—
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#452	—	5	1	no	—
885	#452	—	5	1	no	—
886	#451	—	5	1	no	—
887	#451	—	5	1	no	—
888	#451	—	5	1	no	—
889	#451	—	5	1	no	—
890	#451	—	5	1	no	—
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
893	#451	—	5	1	no	—
894	#451	—	5	1	no	—
895	#451	—	5	1	no	—
896	#451	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#448	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#442	—	5	1	no	—
909	#441	—	5	1	no	—
910	#441	—	5	1	no	—
911	#440	—	5	1	no	—
912	C₄×Q₁₆	—	5	1	no	—
913	C₄×SD₁₆	—	5	1	no	—
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×SD₁₆	—	5	1	no	—
916	#436	—	5	1	no	—
917	#436	—	5	1	no	—
918	#436	—	5	1	no	—
919	#436	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	#435	—	5	1	no	—
923	#435	—	5	1	no	—
924	#433	—	5	1	no	—
925	#433	—	5	1	no	—
926	#419	—	5	1	no	—
927	#419	—	5	1	no	—
928	#418	—	5	1	no	—
929	#417	—	5	1	no	—
930	#417	—	5	1	no	—
931	#417	—	5	1	no	—
932	#416	—	5	1	no	—
933	C₂×#103	—	5	1	no	—
934	#408	—	5	1	no	—
935	#408	—	5	1	no	—
936	#407	—	5	1	no	—
937	#407	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	—	4	1	no	—
940	C₂³×C₅	—	4	1	no	—
941	C₂³×C₅	—	4	1	no	—
942	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
943	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
946	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂²×D₅	—	2	1	no	—
948	C₂²×D₅	—	2	1	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	8	1	no	—
952	C₅×Q₈	—	2	1	no	—
953	C₅×Q₈	—	2	1	no	—
954	C₅×Q₈	—	2	1	no	—
955	C₅×Q₈	—	2	1	no	—
956	C₅×Q₈	—	2	1	no	—
957	C₅×Q₈	—	2	1	no	—
958	C₅×Q₈	—	4	1	no	—
959	C₅×Q₈	—	8	1	no	—
960	C₅×Q₈	—	8	1	no	—
961	C₅×Q₈	—	8	1	no	—
962	C₅×D₄	—	2	1	no	—
963	C₅×D₄	—	2	1	no	—
964	C₅×D₄	—	4	1	no	—
965	C₅×D₄	—	4	1	no	—
966	C₅×D₄	—	4	1	no	—
967	C₅×D₄	—	4	1	no	—
968	C₅×D₄	—	4	1	no	—
969	C₅×D₄	—	4	1	no	—
970	C₅×D₄	—	4	1	no	—
971	C₅×D₄	—	4	2	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	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	2	1	no	—
983	C₂×C₄×C₅	—	2	1	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	1	no	—
995	C₂×C₄×C₅	—	4	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	—	8	1	no	—
1002	C₂×C₄×C₅	—	8	1	no	—
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	—	2	4	no	—
1014	C₂²⋊D₅	—	4	2	no	—
1015	C₂²⋊D₅	—	4	2	no	—
1016	C₂²⋊D₅	—	4	2	no	—
1017	C₂²⋊D₅	—	4	2	no	—
1018	C₂²⋊D₅	—	4	2	no	—
1019	C₂²⋊D₅	—	8	1	no	—
1020	C₂²⋊D₅	—	8	1	no	—
1021	C₂×Dic₅	—	2	1	no	—
1022	C₂×Dic₅	—	2	1	no	—
1023	C₂×Dic₅	—	2	1	no	—
1024	C₂×Dic₅	—	2	1	no	—
1025	C₂×Dic₅	—	2	1	no	—
1026	C₂×Dic₅	—	2	1	no	—
1027	C₂×Dic₅	—	4	2	no	—
1028	C₂×Dic₅	—	4	2	no	—
1029	C₂×Dic₅	—	4	2	no	—
1030	C₂×Dic₅	—	4	2	no	—
1031	C₂×Dic₅	—	8	1	no	—
1032	D₂₀	—	2	1	no	—
1033	D₂₀	—	2	1	no	—
1034	D₂₀	—	2	1	no	—
1035	D₂₀	—	4	2	no	—
1036	D₂₀	H(5,𝔽₂)	1	2	yes	—
1037	C₄×D₅	—	2	4	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	4	2	no	—
1043	C₄×D₅	—	8	1	no	—
1044	C₄×D₅	—	8	1	no	—
1045	Dic₁₀	—	2	1	no	—
1046	Dic₁₀	—	2	1	no	—
1047	Dic₁₀	—	2	1	no	—
1048	Dic₁₀	—	2	1	no	—
1049	Dic₁₀	—	2	1	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	4	2	no	—
1053	Dic₁₀	—	4	2	no	—
1054	Dic₁₀	—	4	2	no	—
1055	Dic₁₀	—	4	2	no	—
1056	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1057	#168	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	#168	—	2	1	no	—
1061	#168	—	2	1	no	—
1062	#168	—	2	1	no	—
1063	#168	—	2	1	no	—
1064	#168	—	2	1	no	—
1065	2₋¹⁺⁴	—	20	2	no	—
1066	2₋¹⁺⁴	—	20	2	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	5	1	no	—
1069	C₂×#41	—	5	1	no	—
1070	C₂×#41	—	5	1	no	—
1071	C₂×#41	—	5	1	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	10	1	no	—
1074	C₂×#41	—	10	1	no	—
1075	C₂×#41	—	10	1	no	—
1076	C₂×#41	—	10	1	no	—
1077	C₂×#41	—	10	1	no	—
1078	C₂×#41	—	20	2	no	—
1079	C₂×#41	—	20	2	no	—
1080	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1081	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1082	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1083	C₂²×Q₈	—	5	1	no	—
1084	C₂²×Q₈	—	5	1	no	—
1085	C₂²×Q₈	—	5	1	no	—
1086	C₂²×Q₈	—	5	1	no	—
1087	C₂²×Q₈	—	10	1	no	—
1088	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1089	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1090	C₂²×D₄	—	5	1	no	—
1091	C₂²×D₄	—	10	1	no	—
1092	C₂³×C₄	—	10	1	no	—
1093	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1094	#137	—	20	2	no	—
1095	#137	—	20	2	no	—
1096	#137	—	20	2	no	—
1097	#137	—	20	2	no	—
1098	#137	—	20	2	no	—
1099	AGL(1,ℤ/8)	—	20	2	no	—
1100	#135	—	20	2	no	—
1101	C₂×Q₁₆	—	5	1	no	—
1102	C₂×Q₁₆	—	5	1	no	—
1103	C₂×Q₁₆	—	5	1	no	—
1104	C₂×Q₁₆	—	5	1	no	—
1105	C₂×Q₁₆	—	5	1	no	—
1106	C₂×Q₁₆	—	5	1	no	—
1107	C₂×Q₁₆	—	5	1	no	—
1108	C₂×Q₁₆	—	5	1	no	—
1109	C₂×Q₁₆	—	5	1	no	—
1110	C₂×Q₁₆	—	5	1	no	—
1111	C₂×Q₁₆	—	5	1	no	—
1112	C₂×Q₁₆	—	5	1	no	—
1113	C₂×Q₁₆	—	20	2	no	—
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	5	1	no	—
1119	C₂×SD₁₆	—	5	1	no	—
1120	C₂×SD₁₆	—	5	1	no	—
1121	C₂×SD₁₆	—	5	1	no	—
1122	C₂×SD₁₆	—	5	1	no	—
1123	C₂×SD₁₆	—	5	1	no	—
1124	C₂×D₈	—	5	1	no	—
1125	C₂×D₈	—	5	1	no	—
1126	C₂×M₁₆	—	5	1	no	—
1127	C₂×M₁₆	—	5	1	no	—
1128	C₂×M₁₆	—	5	1	no	—
1129	C₂×M₁₆	—	5	1	no	—
1130	C₂×M₁₆	—	5	1	no	—
1131	C₂×M₁₆	—	5	1	no	—
1132	C₂²×C₈	—	5	1	no	—
1133	C₂²×C₈	—	5	1	no	—
1134	C₄⋊Q₈	—	2	1	no	—
1135	C₄⋊Q₈	—	2	1	no	—
1136	C₄⋊Q₈	—	5	1	no	—
1137	C₄⋊Q₈	—	5	1	no	—
1138	C₄⋊Q₈	—	10	1	no	—
1139	C₄⋊Q₈	—	10	1	no	—
1140	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1141	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1142	#126	—	2	1	no	—
1143	#126	—	2	1	no	—
1144	#126	—	2	1	no	—
1145	#126	—	2	1	no	—
1146	#126	—	2	1	no	—
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#125	—	2	1	no	—
1150	#125	—	2	1	no	—
1151	#125	—	2	1	no	—
1152	#125	—	2	1	no	—
1153	#125	C₂²×D₅	1	1	yes	characteristic
1154	#124	—	2	1	no	—
1155	#124	—	2	1	no	—
1156	#124	—	2	1	no	—
1157	#124	—	2	1	no	—
1158	#124	—	2	1	no	—
1159	#124	—	5	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#124	C₂²×D₅	1	1	yes	characteristic
1164	#123	—	2	1	no	—
1165	#123	—	2	1	no	—
1166	#123	—	2	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	2	1	no	—
1172	#123	—	10	1	no	—
1173	#123	—	10	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	1	no	—
1178	#123	—	10	1	no	—
1179	#123	—	10	1	no	—
1180	#123	C₂²⋊D₅	1	1	yes	characteristic
1181	#123	C₂²⋊D₅	1	1	yes	characteristic
1182	C₂²⋊Q₈	—	2	1	no	—
1183	C₂²⋊Q₈	—	2	1	no	—
1184	C₂²⋊Q₈	—	2	1	no	—
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	2	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	2	1	no	—
1190	C₂²⋊Q₈	—	2	1	no	—
1191	C₂²⋊Q₈	—	2	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	5	1	no	—
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	10	1	no	—
1199	C₂²⋊Q₈	—	10	1	no	—
1200	C₂²⋊Q₈	—	10	1	no	—
1201	C₂²⋊Q₈	—	10	1	no	—
1202	C₂²⋊Q₈	—	10	1	no	—
1203	C₂²⋊Q₈	—	10	1	no	—
1204	C₂²⋊Q₈	—	10	1	no	—
1205	C₂²⋊Q₈	—	10	1	no	—
1206	C₂²⋊Q₈	—	10	1	no	—
1207	C₂²⋊Q₈	—	10	1	no	—
1208	C₂²⋊Q₈	—	10	1	no	—
1209	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1210	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1211	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1212	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1213	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1215	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1216	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1217	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1218	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1219	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1220	#121	—	2	1	no	—
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	2	1	no	—
1226	#121	—	2	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	10	1	no	—
1230	#121	—	10	1	no	—
1231	#121	—	10	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	C₂²⋊D₅	1	1	yes	characteristic
1239	#121	C₂²⋊D₅	1	1	yes	characteristic
1240	#121	C₂²×D₅	1	1	yes	characteristic
1241	#121	C₂²×D₅	1	1	yes	characteristic
1242	#121	C₂²×D₅	1	1	yes	characteristic
1243	#120	—	2	1	no	—
1244	#120	—	10	1	no	—
1245	#120	—	10	1	no	—
1246	#120	C₂²⋊D₅	1	1	yes	characteristic
1247	#120	C₂²⋊D₅	1	1	yes	characteristic
1248	C₄×Q₈	—	2	1	no	—
1249	C₄×Q₈	—	5	1	no	—
1250	C₄×Q₈	—	5	1	no	—
1251	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1252	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1253	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1254	C₄×D₄	—	2	1	no	—
1255	C₄×D₄	—	2	1	no	—
1256	C₄×D₄	—	2	1	no	—
1257	C₄×D₄	—	2	1	no	—
1258	C₄×D₄	—	2	1	no	—
1259	C₄×D₄	—	2	1	no	—
1260	C₄×D₄	—	2	1	no	—
1261	C₄×D₄	—	5	1	no	—
1262	C₄×D₄	—	5	1	no	—
1263	C₄×D₄	—	10	1	no	—
1264	C₄×D₄	—	10	1	no	—
1265	C₄×D₄	—	10	1	no	—
1266	C₄×D₄	—	10	1	no	—
1267	C₄×D₄	—	10	1	no	—
1268	C₄×D₄	—	10	1	no	—
1269	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1270	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1271	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1272	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1273	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1274	#117	—	2	1	no	—
1275	#117	—	10	1	no	—
1276	#117	C₂²×D₅	1	1	yes	characteristic
1277	#117	C₂²×D₅	1	1	yes	characteristic
1278	#117	C₂²×D₅	1	1	yes	characteristic
1279	C₂×C₄⋊C₄	—	2	1	no	—
1280	C₂×C₄⋊C₄	—	2	1	no	—
1281	C₂×C₄⋊C₄	—	5	1	no	—
1282	C₂×C₄⋊C₄	—	10	1	no	—
1283	C₂×C₄⋊C₄	—	10	1	no	—
1284	C₂×C₄⋊C₄	—	10	1	no	—
1285	C₂×C₄⋊C₄	—	10	1	no	—
1286	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1287	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1288	C₂×C₂²⋊C₄	—	2	1	no	—
1289	C₂×C₂²⋊C₄	—	10	1	no	—
1290	C₂×C₂²⋊C₄	—	10	1	no	—
1291	C₂×C₂²⋊C₄	—	10	1	no	—
1292	#107	—	5	1	no	—
1293	#107	—	5	1	no	—
1294	#106	—	5	1	no	—
1295	#106	—	5	1	no	—
1296	#106	—	5	1	no	—
1297	#106	—	5	1	no	—
1298	#106	—	5	1	no	—
1299	#106	—	5	1	no	—
1300	C₄⋊C₈	—	5	1	no	—
1301	C₄⋊C₈	—	5	1	no	—
1302	C₄⋊C₈	—	5	1	no	—
1303	C₄⋊C₈	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	—	5	1	no	—
1308	#103	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	—	5	1	no	—
1321	#103	—	5	1	no	—
1322	#103	—	5	1	no	—
1323	#103	—	5	1	no	—
1324	#103	—	5	1	no	—
1325	#103	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	C₂²⋊C₈	—	5	1	no	—
1337	C₂²⋊C₈	—	5	1	no	—
1338	C₂²⋊C₈	—	5	1	no	—
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	—	5	1	no	—
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	#97	—	5	1	no	—
1349	#97	—	5	1	no	—
1350	C₄×C₈	—	5	1	no	—
1351	C₄×C₈	—	5	1	no	—
1352	C₂²×C₅	—	2	1	no	—
1353	C₂²×C₅	—	2	1	no	—
1354	C₂²×C₅	—	2	1	no	—
1355	C₂²×C₅	—	2	1	no	—
1356	C₂²×C₅	—	2	1	no	—
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	2	1	no	—
1359	C₂²×C₅	—	2	1	no	—
1360	C₂²×C₅	—	2	1	no	—
1361	C₂²×C₅	—	2	1	no	—
1362	C₂²×C₅	—	2	1	no	—
1363	C₂²×C₅	—	2	1	no	—
1364	C₂²×C₅	—	2	1	no	—
1365	C₂²×C₅	—	2	1	no	—
1366	C₂²×C₅	—	2	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	4	1	no	—
1369	C₂²×C₅	—	4	1	no	—
1370	C₂²×C₅	—	8	2	no	—
1371	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1372	C₂×D₅	—	2	2	no	—
1373	C₂×D₅	—	4	1	no	—
1374	C₂×D₅	—	4	1	no	—
1375	C₂×D₅	—	4	1	no	—
1376	C₂×D₅	—	4	1	no	—
1377	C₂×D₅	—	4	1	no	—
1378	C₂×D₅	—	8	4	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	—	2	1	no	—
1388	C₄×C₅	—	4	1	no	—
1389	C₄×C₅	—	4	1	no	—
1390	C₄×C₅	—	4	1	no	—
1391	C₄×C₅	—	4	1	no	—
1392	C₄×C₅	—	4	1	no	—
1393	C₄×C₅	—	4	1	no	—
1394	C₄×C₅	—	4	1	no	—
1395	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1396	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1397	Dic₅	—	2	2	no	—
1398	Dic₅	—	4	1	no	—
1399	Dic₅	—	4	1	no	—
1400	Dic₅	—	4	1	no	—
1401	Dic₅	—	4	1	no	—
1402	Dic₅	—	4	1	no	—
1403	C₂⁴	—	10	1	no	—
1404	C₂⁴	C₂×C₂²⋊D₅	1	1	yes	characteristic
1405	#41	—	4	1	no	—
1406	#41	—	4	1	no	—
1407	#41	—	4	1	no	—
1408	#41	—	4	1	no	—
1409	#41	—	4	1	no	—
1410	#41	—	4	1	no	—
1411	#41	—	10	2	no	—
1412	#41	—	10	2	no	—
1413	#41	—	10	2	no	—
1414	#41	—	10	2	no	—
1415	#41	—	10	2	no	—
1416	#41	—	10	2	no	—
1417	#41	—	20	1	no	—
1418	#41	—	20	1	no	—
1419	#41	—	20	1	no	—
1420	#41	—	20	1	no	—
1421	#41	—	20	1	no	—
1422	#41	—	20	1	no	—
1423	#41	—	20	4	no	—
1424	#41	—	20	4	no	—
1425	#41	—	20	4	no	—
1426	#41	—	20	4	no	—
1427	#41	—	20	4	no	—
1428	C₂×Q₈	—	2	1	no	—
1429	C₂×Q₈	—	2	1	no	—
1430	C₂×Q₈	—	2	1	no	—
1431	C₂×Q₈	—	4	1	no	—
1432	C₂×Q₈	—	4	1	no	—
1433	C₂×Q₈	—	4	1	no	—
1434	C₂×Q₈	—	4	1	no	—
1435	C₂×Q₈	—	5	1	no	—
1436	C₂×Q₈	—	5	1	no	—
1437	C₂×Q₈	—	5	1	no	—
1438	C₂×Q₈	—	5	1	no	—
1439	C₂×Q₈	—	10	2	no	—
1440	C₂×Q₈	—	10	2	no	—
1441	C₂×Q₈	—	10	2	no	—
1442	C₂×Q₈	—	10	1	no	—
1443	C₂×Q₈	—	10	1	no	—
1444	C₂×Q₈	—	10	1	no	—
1445	C₂×Q₈	—	10	1	no	—
1446	C₂×Q₈	—	20	1	no	—
1447	C₂×Q₈	—	20	1	no	—
1448	C₂×Q₈	—	20	1	no	—
1449	C₂×Q₈	—	20	1	no	—
1450	C₂×Q₈	—	20	1	no	—
1451	C₂×Q₈	—	20	4	no	—
1452	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1453	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1454	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1455	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	5	1	no	—
1462	C₂×D₄	—	5	1	no	—
1463	C₂×D₄	—	10	2	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	10	1	no	—
1470	C₂×D₄	—	10	1	no	—
1471	C₂×D₄	—	10	1	no	—
1472	C₂×D₄	—	10	1	no	—
1473	C₂×D₄	—	20	1	no	—
1474	C₂×D₄	—	20	4	no	—
1475	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1476	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1477	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1478	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1479	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1480	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1481	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1482	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1483	C₂²×C₄	—	2	1	no	—
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	4	1	no	—
1491	C₂²×C₄	—	4	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	—	10	1	no	—
1496	C₂²×C₄	—	10	1	no	—
1497	C₂²×C₄	—	10	1	no	—
1498	C₂²×C₄	—	10	1	no	—
1499	C₂²×C₄	—	10	1	no	—
1500	C₂²×C₄	—	10	1	no	—
1501	C₂²×C₄	—	10	1	no	—
1502	C₂²×C₄	—	10	1	no	—
1503	C₂²×C₄	—	10	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	20	4	no	—
1506	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1507	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1508	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1509	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1510	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1514	Q₁₆	—	10	2	no	—
1515	Q₁₆	—	10	2	no	—
1516	Q₁₆	—	10	2	no	—
1517	Q₁₆	—	20	1	no	—
1518	Q₁₆	—	20	1	no	—
1519	Q₁₆	—	20	1	no	—
1520	Q₁₆	—	20	1	no	—
1521	Q₁₆	—	20	1	no	—
1522	Q₁₆	—	20	1	no	—
1523	Q₁₆	—	20	1	no	—
1524	Q₁₆	—	20	1	no	—
1525	Q₁₆	—	20	1	no	—
1526	SD₁₆	—	10	2	no	—
1527	SD₁₆	—	10	2	no	—
1528	SD₁₆	—	10	2	no	—
1529	SD₁₆	—	10	2	no	—
1530	SD₁₆	—	20	1	no	—
1531	SD₁₆	—	20	1	no	—
1532	SD₁₆	—	20	1	no	—
1533	SD₁₆	—	20	1	no	—
1534	SD₁₆	—	20	1	no	—
1535	SD₁₆	—	20	1	no	—
1536	D₈	—	10	2	no	—
1537	D₈	—	20	1	no	—
1538	M₁₆	—	20	1	no	—
1539	M₁₆	—	20	1	no	—
1540	M₁₆	—	20	1	no	—
1541	M₁₆	—	20	1	no	—
1542	M₁₆	—	20	1	no	—
1543	M₁₆	—	20	1	no	—
1544	C₂×C₈	—	5	1	no	—
1545	C₂×C₈	—	5	1	no	—
1546	C₂×C₈	—	5	1	no	—
1547	C₂×C₈	—	5	1	no	—
1548	C₂×C₈	—	5	1	no	—
1549	C₂×C₈	—	5	1	no	—
1550	C₂×C₈	—	5	1	no	—
1551	C₂×C₈	—	5	1	no	—
1552	C₂×C₈	—	20	1	no	—
1553	C₂×C₈	—	20	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	2	1	no	—
1558	C₄⋊C₄	—	2	1	no	—
1559	C₄⋊C₄	—	2	1	no	—
1560	C₄⋊C₄	—	2	1	no	—
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1589	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1590	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1591	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1593	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1594	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1595	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1596	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1597	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1630	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1631	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1632	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1633	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1634	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1635	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1636	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1637	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1638	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1639	C₄²	—	2	1	no	—
1640	C₄²	—	2	1	no	—
1641	C₄²	—	2	1	no	—
1642	C₄²	—	2	1	no	—
1643	C₄²	—	2	1	no	—
1644	C₄²	—	10	1	no	—
1645	C₄²	—	10	1	no	—
1646	C₄²	C₂³×D₅	1	1	yes	characteristic
1647	C₄²	C₂³×D₅	1	1	yes	characteristic
1648	C₂×C₅	—	4	1	no	—
1649	C₂×C₅	—	4	1	no	—
1650	C₂×C₅	—	4	1	no	—
1651	C₂×C₅	—	4	1	no	—
1652	C₂×C₅	—	4	1	no	—
1653	C₂×C₅	—	8	1	no	—
1654	C₂×C₅	#3484	1	1	yes	characteristic
1655	C₂×C₅	#3586	1	1	yes	characteristic
1656	C₂×C₅	#3586	1	1	yes	characteristic
1657	D₅	—	4	2	no	—
1658	D₅	—	8	1	no	—
1659	C₂³	—	2	1	no	—
1660	C₂³	—	4	1	no	—
1661	C₂³	—	4	1	no	—
1662	C₂³	—	4	1	no	—
1663	C₂³	—	10	1	no	—
1664	C₂³	—	10	1	no	—
1665	C₂³	—	20	2	no	—
1666	C₂³	—	20	2	no	—
1667	C₂³	—	40	1	no	—
1668	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1669	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1670	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1671	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1672	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1673	Q₈	—	2	1	no	—
1674	Q₈	—	2	1	no	—
1675	Q₈	—	2	1	no	—
1676	Q₈	—	2	1	no	—
1677	Q₈	—	2	1	no	—
1678	Q₈	—	2	1	no	—
1679	Q₈	—	4	1	no	—
1680	Q₈	—	5	2	no	—
1681	Q₈	—	8	1	no	—
1682	Q₈	—	8	1	no	—
1683	Q₈	—	8	1	no	—
1684	Q₈	—	10	1	no	—
1685	Q₈	—	10	1	no	—
1686	Q₈	—	10	1	no	—
1687	Q₈	—	10	1	no	—
1688	Q₈	—	10	1	no	—
1689	Q₈	—	10	1	no	—
1690	Q₈	—	10	1	no	—
1691	Q₈	—	20	2	no	—
1692	Q₈	—	20	2	no	—
1693	Q₈	—	20	2	no	—
1694	Q₈	—	20	2	no	—
1695	D₄	—	2	1	no	—
1696	D₄	—	2	1	no	—
1697	D₄	—	4	1	no	—
1698	D₄	—	4	1	no	—
1699	D₄	—	4	1	no	—
1700	D₄	—	4	1	no	—
1701	D₄	—	4	1	no	—
1702	D₄	—	4	1	no	—
1703	D₄	—	4	1	no	—
1704	D₄	—	4	2	no	—
1705	D₄	—	5	2	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	D₄	—	10	4	no	—
1711	D₄	—	10	1	no	—
1712	D₄	—	10	1	no	—
1713	D₄	—	10	1	no	—
1714	D₄	—	20	2	no	—
1715	D₄	—	20	2	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	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	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	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	4	1	no	—
1740	C₂×C₄	—	4	1	no	—
1741	C₂×C₄	—	4	1	no	—
1742	C₂×C₄	—	8	1	no	—
1743	C₂×C₄	—	8	1	no	—
1744	C₂×C₄	—	8	1	no	—
1745	C₂×C₄	—	8	1	no	—
1746	C₂×C₄	—	8	1	no	—
1747	C₂×C₄	—	8	1	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	10	4	no	—
1750	C₂×C₄	—	10	1	no	—
1751	C₂×C₄	—	10	1	no	—
1752	C₂×C₄	—	10	1	no	—
1753	C₂×C₄	—	10	1	no	—
1754	C₂×C₄	—	10	1	no	—
1755	C₂×C₄	—	10	1	no	—
1756	C₂×C₄	—	20	2	no	—
1757	C₂×C₄	—	20	2	no	—
1758	C₂×C₄	—	20	2	no	—
1759	C₂×C₄	—	20	2	no	—
1760	C₂×C₄	—	20	2	no	—
1761	C₂×C₄	—	20	2	no	—
1762	C₂×C₄	—	20	2	no	—
1763	C₂×C₄	—	20	2	no	—
1764	C₂×C₄	—	20	2	no	—
1765	C₂×C₄	—	40	1	no	—
1766	C₂×C₄	—	40	1	no	—
1767	C₂×C₄	—	40	1	no	—
1768	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1769	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1770	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1771	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1772	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1773	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1774	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1775	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1776	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1777	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1778	C₈	—	10	1	no	—
1779	C₈	—	10	1	no	—
1780	C₈	—	10	1	no	—
1781	C₈	—	10	1	no	—
1782	C₈	—	10	1	no	—
1783	C₈	—	10	1	no	—
1784	C₈	—	10	1	no	—
1785	C₈	—	10	1	no	—
1786	C₅	#61655	1	1	yes	characteristic, complemented, Sylow
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	1	no	—
1794	C₂²	—	2	1	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	8	2	no	—
1806	C₂²	—	10	2	no	—
1807	C₂²	—	20	1	no	—
1808	C₂²	—	20	1	no	—
1809	C₂²	—	20	1	no	—
1810	C₂²	—	20	1	no	—
1811	C₂²	—	20	1	no	—
1812	C₂²	—	40	4	no	—
1813	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1814	C₄	—	2	1	no	—
1815	C₄	—	2	1	no	—
1816	C₄	—	2	1	no	—
1817	C₄	—	2	1	no	—
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	10	2	no	—
1831	C₄	—	20	1	no	—
1832	C₄	—	20	1	no	—
1833	C₄	—	20	1	no	—
1834	C₄	—	20	1	no	—
1835	C₄	—	20	1	no	—
1836	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1837	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1838	C₂	—	4	1	no	—
1839	C₂	—	4	1	no	—
1840	C₂	—	4	1	no	—
1841	C₂	—	4	1	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	8	1	no	—
1844	C₂	—	20	2	no	—
1845	C₂	—	40	1	no	—
1846	C₂	#10619185	1	1	yes	characteristic
1847	C₂	#10619188	1	1	yes	characteristic
1848	C₂	#10619200	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×#3541	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3541	D₅
hypocenter	C₅	#61655
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3541

Complements

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

N	H ≅ G/N	type
1. C₅×#3541	C₂	semidirect
2. #10617943	C₂	semidirect
3. #10615406	C₂	semidirect
4. #10615396	C₂	semidirect
5. #10615372	C₂	semidirect
6. #10615367	C₂	semidirect
7. #10615352	C₂	semidirect
8. #10615346	C₂	semidirect
9. #10615334	C₂	semidirect
10. #10615332	C₂	semidirect
11. #10615296	C₂	semidirect
12. #10615291	C₂	semidirect
13. #10615279	C₂	semidirect
14. #10615277	C₂	semidirect
15. #10615275	C₂	semidirect
16. #10615274	C₂	semidirect
17. #10615260	C₂	semidirect
18. #10615253	C₂	semidirect
19. #10615195	C₂	semidirect
20. #10615193	C₂	semidirect
21. #10615183	C₂	semidirect
22. #10615177	C₂	semidirect
23. #10615160	C₂	semidirect
24. #10615158	C₂	semidirect
25. #10615142	C₂	semidirect
26. #10615139	C₂	semidirect
27. #10614666	C₂	semidirect
28. #10614659	C₂	semidirect
29. #10614652	C₂	semidirect
30. #10614473	C₂	semidirect
31. #10614466	C₂	semidirect
38. C₅×#554	C₂²	semidirect
40. C₅×#553	C₂²	semidirect
42. C₅×D₄×Q₈	C₂²	semidirect
44. C₅×#548	C₂²	semidirect
47. C₅×#542	C₂²	semidirect
48. C₅×#541	C₂²	semidirect
52. C₅×#537	C₂²	semidirect
53. C₅×#536	C₂²	semidirect
59. C₂×#4097	C₂²	semidirect
60. C₂×#4096	C₂²	semidirect
62. C₂²×#689	C₂²	semidirect
65. C₂×#4088	C₂²	semidirect
87. #65528	C₂²	semidirect
88. #65527	C₂²	semidirect
89. #65523	C₂²	semidirect
90. #65523	C₂²	semidirect
91. #65517	C₂²	semidirect
92. #65517	C₂²	semidirect
93. #65517	C₂²	semidirect
94. #65516	C₂²	semidirect
97. #65383	C₂²	semidirect
98. #65382	C₂²	semidirect
99. #65381	C₂²	semidirect
100. #65379	C₂²	semidirect
101. #65378	C₂²	semidirect
102. #65375	C₂²	semidirect
103. #65373	C₂²	semidirect
104. #65372	C₂²	semidirect
105. #65358	C₂²	semidirect
106. #65357	C₂²	semidirect
107. #65355	C₂²	semidirect
108. #65352	C₂²	semidirect
109. #65349	C₂²	semidirect
110. #65348	C₂²	semidirect
111. #65346	C₂²	semidirect
112. #65343	C₂²	semidirect
117. #65341	C₂²	semidirect
118. #65341	C₂²	semidirect
119. #65341	C₂²	semidirect
120. #65341	C₂²	semidirect
121. #65340	C₂²	semidirect
124. #65339	C₂²	semidirect
125. #65339	C₂²	semidirect
126. #65339	C₂²	semidirect
127. #65339	C₂²	semidirect
128. #65339	C₂²	semidirect
129. #65339	C₂²	semidirect
130. #65338	C₂²	semidirect
131. #65337	C₂²	semidirect
132. #65337	C₂²	semidirect
141. #65336	C₂²	semidirect
142. #65336	C₂²	semidirect
143. #65336	C₂²	semidirect
146. #65333	C₂²	semidirect
147. #65332	C₂²	semidirect
148. #65332	C₂²	semidirect
149. #65331	C₂²	semidirect
150. #65331	C₂²	semidirect
151. #65330	C₂²	semidirect
152. #65329	C₂²	semidirect
153. #65329	C₂²	semidirect
154. #65328	C₂²	semidirect
159. #65326	C₂²	semidirect
160. #65323	C₂²	semidirect
161. #65320	C₂²	semidirect
162. #65320	C₂²	semidirect
163. #65320	C₂²	semidirect
164. #65319	C₂²	semidirect
165. #65319	C₂²	semidirect
166. C₄×#689	C₂²	semidirect
167. #65317	C₂²	semidirect
168. #65317	C₂²	semidirect
169. #65317	C₂²	semidirect
170. #65315	C₂²	semidirect
171. C₄×#688	C₂²	semidirect
172. C₄×#688	C₂²	semidirect
173. #65308	C₂²	semidirect
174. C₄×#687	C₂²	semidirect
175. #65305	C₂²	semidirect
176. #65303	C₂²	semidirect
179. #65301	C₂²	semidirect
180. #65301	C₂²	semidirect
183. #65300	C₂²	semidirect
184. #65300	C₂²	semidirect
186. #65293	C₂²	semidirect
187. #65292	C₂²	semidirect
188. #65291	C₂²	semidirect
190. #65289	C₂²	semidirect
191. #65289	C₂²	semidirect
194. #65285	C₂²	semidirect
195. #65260	C₂²	semidirect
196. #65260	C₂²	semidirect
197. #65260	C₂²	semidirect
198. C₂×#3942	C₂²	semidirect
199. #65257	C₂²	semidirect
202. #65255	C₂²	semidirect
491. #3541	D₅	semidirect
781. #554	C₂×D₅	semidirect
783. #553	C₂×D₅	semidirect
787. D₄×Q₈	C₂×D₅	semidirect
791. #548	C₂×D₅	semidirect
802. #542	C₂×D₅	semidirect
803. #541	C₂×D₅	semidirect
809. #537	C₂×D₅	semidirect
812. #536	C₂×D₅	semidirect
1786. C₅	#61655	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3541	2
#10617943	2
#10615406	2
#10615396	2
#10615372	2
#10615367	2
#10615352	2
#10615346	2
#10615334	2
#10615332	2
#10615296	2
#10615291	2
#10615279	2
#10615277	2
#10615275	2
#10615274	2
#10615260	2
#10615253	2
#10615195	2
#10615193	2
#10615183	2
#10615177	2
#10615160	2
#10615158	2
#10615142	2
#10615139	2
#10614666	2
#10614659	2
#10614652	2
#10614473	2
#10614466	2
#61655	5