Subgroups — #12985268

Order 1280.

2046 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3539	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617943	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615351	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615349	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615348	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615346	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615334	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615333	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615332	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615331	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615315	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615314	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615310	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615308	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615260	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615259	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615255	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615253	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615183	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615177	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615171	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615165	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	#10615158	C₂	1	1	yes	maximal, characteristic, complemented
26	#10615157	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614666	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614665	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614659	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614657	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614650	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×#560	—	2	1	no	—
35	C₅×#560	—	2	1	no	—
36	C₅×#553	—	2	1	no	—
37	C₅×#553	—	2	1	no	—
38	C₅×#553	C₂²	1	1	yes	characteristic
39	C₅×#553	C₂²	1	1	yes	characteristic, complemented
40	C₅×#552	C₂²	1	1	yes	characteristic
41	C₅×#552	C₂²	1	1	yes	characteristic, complemented
42	C₅×#550	C₂²	1	1	yes	characteristic
43	C₅×#550	C₂²	1	1	yes	characteristic, complemented
44	C₅×#547	C₂²	1	1	yes	characteristic
45	C₅×#547	C₂²	1	1	yes	characteristic, complemented
46	C₅×#541	C₂²	1	1	yes	characteristic, complemented
47	C₅×#540	—	2	1	no	—
48	C₅×#540	—	2	1	no	—
49	C₅×#540	C₂²	1	1	yes	characteristic, complemented
50	C₅×#539	—	2	1	no	—
51	C₅×#539	—	2	1	no	—
52	C₅×#537	C₂²	1	1	yes	characteristic, complemented
53	C₅×#537	C₂²	1	1	yes	characteristic, complemented
54	C₅×#525	C₂²	1	1	yes	characteristic
55	C₅×#525	C₂²	1	1	yes	characteristic
56	C₅×#525	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×#4097	C₂²	1	1	yes	characteristic, complemented
61	C₂×#4096	C₂²	1	1	yes	characteristic
62	C₂×#4096	C₂²	1	1	yes	characteristic
63	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
65	C₂×#4095	C₂²	1	1	yes	characteristic
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	#65528	C₂²	1	1	yes	characteristic, complemented
89	#65528	C₂²	1	1	yes	characteristic, complemented
90	#65528	C₂²	1	1	yes	characteristic, complemented
91	#65527	C₂²	1	1	yes	characteristic, complemented
92	#65527	C₂²	1	1	yes	characteristic, complemented
93	#65523	C₂²	1	1	yes	characteristic, complemented
94	#65523	C₂²	1	1	yes	characteristic, complemented
95	#65496	C₂²	1	1	yes	characteristic
96	C₂×C₂²⋊#168	C₂²	1	1	yes	characteristic
97	#65381	C₂²	1	1	yes	characteristic, complemented
98	#65379	C₂²	1	1	yes	characteristic, complemented
99	#65375	C₂²	1	1	yes	characteristic, complemented
100	#65372	C₂²	1	1	yes	characteristic, complemented
101	#65365	C₂²	1	1	yes	characteristic, complemented
102	#65364	C₂²	1	1	yes	characteristic, complemented
103	#65363	C₂²	1	1	yes	characteristic, complemented
104	#65361	C₂²	1	1	yes	characteristic, complemented
105	#65358	C₂²	1	1	yes	characteristic, complemented
106	#65358	C₂²	1	1	yes	characteristic, complemented
107	#65357	C₂²	1	1	yes	characteristic, complemented
108	#65357	C₂²	1	1	yes	characteristic, complemented
109	#65355	C₂²	1	1	yes	characteristic, complemented
110	#65355	C₂²	1	1	yes	characteristic, complemented
111	#65352	C₂²	1	1	yes	characteristic, complemented
112	#65352	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, complemented
116	#65340	C₂²	1	1	yes	characteristic, complemented
117	#65340	C₂²	1	1	yes	characteristic, complemented
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65339	C₂²	1	1	yes	characteristic
120	#65339	C₂²	1	1	yes	characteristic, complemented
121	#65339	C₂²	1	1	yes	characteristic, complemented
122	#65339	C₂²	1	1	yes	characteristic, complemented
123	#65339	C₂²	1	1	yes	characteristic, complemented
124	#65338	C₂²	1	1	yes	characteristic, complemented
125	#65337	C₂²	1	1	yes	characteristic, complemented
126	#65336	C₂²	1	1	yes	characteristic
127	#65336	C₂²	1	1	yes	characteristic
128	#65336	C₂²	1	1	yes	characteristic
129	#65336	C₂²	1	1	yes	characteristic
130	#65336	C₂²	1	1	yes	characteristic
131	#65336	C₂²	1	1	yes	characteristic
132	#65336	C₂²	1	1	yes	characteristic, complemented
133	#65336	C₂²	1	1	yes	characteristic, complemented
134	#65335	C₂²	1	1	yes	characteristic
135	#65333	C₂²	1	1	yes	characteristic, complemented
136	#65332	C₂²	1	1	yes	characteristic, complemented
137	#65331	C₂²	1	1	yes	characteristic
138	#65331	C₂²	1	1	yes	characteristic
139	#65331	C₂²	1	1	yes	characteristic, complemented
140	#65330	C₂²	1	1	yes	characteristic, complemented
141	#65330	C₂²	1	1	yes	characteristic, complemented
142	#65330	C₂²	1	1	yes	characteristic, complemented
143	#65329	C₂²	1	1	yes	characteristic
144	#65329	C₂²	1	1	yes	characteristic, complemented
145	#65329	C₂²	1	1	yes	characteristic, complemented
146	#65329	C₂²	1	1	yes	characteristic, complemented
147	#65329	C₂²	1	1	yes	characteristic, complemented
148	#65328	C₂²	1	1	yes	characteristic, complemented
149	#65327	C₂²	1	1	yes	characteristic, complemented
150	#65326	C₂²	1	1	yes	characteristic
151	#65326	C₂²	1	1	yes	characteristic
152	#65326	C₂²	1	1	yes	characteristic
153	#65326	C₂²	1	1	yes	characteristic
154	#65326	C₂²	1	1	yes	characteristic
155	#65326	C₂²	1	1	yes	characteristic
156	#65326	C₂²	1	1	yes	characteristic, complemented
157	#65326	C₂²	1	1	yes	characteristic, complemented
158	#65325	C₂²	1	1	yes	characteristic
159	#65323	C₂²	1	1	yes	characteristic, complemented
160	#65322	C₂²	1	1	yes	characteristic, complemented
161	#65320	C₂²	1	1	yes	characteristic, complemented
162	#65320	C₂²	1	1	yes	characteristic, complemented
163	#65319	C₂²	1	1	yes	characteristic, complemented
164	C₄×#689	C₂²	1	1	yes	characteristic, complemented
165	#65317	C₂²	1	1	yes	characteristic, complemented
166	#65317	C₂²	1	1	yes	characteristic, complemented
167	#65315	C₂²	1	1	yes	characteristic, complemented
168	C₄×#688	C₂²	1	1	yes	characteristic, complemented
169	#65308	C₂²	1	1	yes	characteristic, complemented
170	#65308	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	#65303	C₂²	1	1	yes	characteristic, complemented
176	C₄×#686	C₂²	1	1	yes	characteristic, complemented
177	#65301	C₂²	1	1	yes	characteristic
178	#65301	C₂²	1	1	yes	characteristic
179	#65300	C₂²	1	1	yes	characteristic
180	#65300	C₂²	1	1	yes	characteristic
181	#65300	C₂²	1	1	yes	characteristic, complemented
182	#65300	C₂²	1	1	yes	characteristic, complemented
183	D₄×#168	C₂²	1	1	yes	characteristic, complemented
184	D₄×#168	C₂²	1	1	yes	characteristic, complemented
185	#65293	C₂²	1	1	yes	characteristic
186	#65291	C₂²	1	1	yes	characteristic
187	#65291	C₂²	1	1	yes	characteristic
188	#65290	C₂²	1	1	yes	characteristic
189	#65289	C₂²	1	1	yes	characteristic, complemented
190	#65289	C₂²	1	1	yes	characteristic, complemented
191	#65285	C₂²	1	1	yes	characteristic
192	#65285	C₂²	1	1	yes	characteristic
193	#65285	C₂²	1	1	yes	characteristic, complemented
194	#65285	C₂²	1	1	yes	characteristic, complemented
195	#65260	C₂²	1	1	yes	characteristic, complemented
196	#65259	C₂²	1	1	yes	characteristic, complemented
197	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
198	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
199	#65257	C₂²	1	1	yes	characteristic, complemented
200	#65256	C₂²	1	1	yes	characteristic, complemented
201	#65255	C₂²	1	1	yes	characteristic, complemented
202	#65255	C₂²	1	1	yes	characteristic, complemented
203	#61626	—	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	C₂×C₅×#41	C₂³	1	1	yes	characteristic
208	C₂×C₅×#41	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	C₂³	1	1	yes	characteristic
234	C₅×#127	—	2	1	no	—
235	C₅×#127	—	2	1	no	—
236	C₅×#127	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×#125	—	2	1	no	—
244	C₅×#125	—	2	1	no	—
245	C₅×#125	—	2	1	no	—
246	C₅×#125	—	2	1	no	—
247	C₅×#125	C₂³	1	1	yes	characteristic
248	C₅×#125	C₂³	1	1	yes	characteristic
249	C₅×#123	—	2	1	no	—
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×#123	—	2	1	no	—
253	C₅×#123	—	2	1	no	—
254	C₅×#123	—	2	1	no	—
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	D₄	1	1	yes	characteristic
262	C₅×#123	D₄	1	1	yes	characteristic
263	C₅×C₂²⋊Q₈	—	2	1	no	—
264	C₅×C₂²⋊Q₈	—	2	1	no	—
265	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
266	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
267	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
268	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
269	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
270	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
271	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
272	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
273	C₅×#121	—	2	1	no	—
274	C₅×#121	—	2	1	no	—
275	C₅×#121	—	2	1	no	—
276	C₅×#121	—	2	1	no	—
277	C₅×#121	—	2	1	no	—
278	C₅×#121	—	2	1	no	—
279	C₅×#121	—	2	1	no	—
280	C₅×#121	—	2	1	no	—
281	C₅×#121	—	2	1	no	—
282	C₅×#121	—	2	1	no	—
283	C₅×#121	—	2	1	no	—
284	C₅×#121	—	2	1	no	—
285	C₅×#121	—	2	1	no	—
286	C₅×#121	—	2	1	no	—
287	C₅×#121	—	2	1	no	—
288	C₅×#121	—	2	1	no	—
289	C₅×#121	D₄	1	1	yes	characteristic
290	C₅×#121	D₄	1	1	yes	characteristic
291	C₅×#121	C₂³	1	1	yes	characteristic
292	C₅×#121	C₂³	1	1	yes	characteristic
293	C₅×#121	C₂³	1	1	yes	characteristic
294	C₅×#121	C₂³	1	1	yes	characteristic
295	C₅×#121	C₂³	1	1	yes	characteristic
296	C₅×#121	C₂³	1	1	yes	characteristic
297	C₅×#120	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
302	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
303	C₄×C₅×D₄	—	2	1	no	—
304	C₄×C₅×D₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
319	C₅×#117	C₂³	1	1	yes	characteristic
320	C₅×#117	C₂³	1	1	yes	characteristic
321	C₅×#117	C₂³	1	1	yes	characteristic
322	C₂×C₅×C₄⋊C₄	—	2	1	no	—
323	C₂×C₅×C₄⋊C₄	—	2	1	no	—
324	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
325	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
326	C₂×C₂²⋊Dic₅	—	2	1	no	—
327	#4097	—	4	2	no	—
328	#4097	—	4	2	no	—
329	#4097	—	4	2	no	—
330	#4096	—	4	2	no	—
331	#4096	—	4	2	no	—
332	#4096	—	4	2	no	—
333	#4096	—	4	2	no	—
334	#4095	—	4	2	no	—
335	#4092	—	2	1	no	—
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×#688	C₂³	1	1	yes	characteristic
345	C₂×#688	C₂³	1	1	yes	characteristic
346	C₂×#688	C₂³	1	1	yes	characteristic
347	C₂×#688	C₂³	1	1	yes	characteristic
348	#4085	—	2	1	no	—
349	#4085	—	2	1	no	—
350	#4085	—	2	1	no	—
351	#4085	—	2	1	no	—
352	#4084	—	2	1	no	—
353	#4084	—	2	1	no	—
354	#4084	—	2	1	no	—
355	#4083	—	2	1	no	—
356	#4083	—	2	1	no	—
357	D₄×Dic₅	—	2	1	no	—
358	D₄×Dic₅	—	2	1	no	—
359	C₂×#687	C₂³	1	1	yes	characteristic
360	C₂×#687	C₂³	1	1	yes	characteristic
361	C₂×#687	C₂³	1	1	yes	characteristic
362	C₂×#687	C₂³	1	1	yes	characteristic
363	C₂×#687	C₂³	1	1	yes	characteristic
364	C₂×#687	C₂³	1	1	yes	characteristic
365	C₂×#687	C₂³	1	1	yes	characteristic
366	C₂×#687	C₂³	1	1	yes	characteristic
367	C₂×#686	C₂³	1	1	yes	characteristic
368	C₂×#686	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	C₂²×#168	C₂³	1	1	yes	characteristic
388	C₂²×#168	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	#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	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	#3939	C₂³	1	1	yes	characteristic
480	#3939	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	#3539	D₅	1	1	yes	characteristic, complemented
492	#3489	—	5	1	no	—
493	#3323	—	5	1	no	—
494	#3322	—	5	1	no	—
495	#3320	—	5	1	no	—
496	#3315	—	5	1	no	—
497	#3312	—	5	1	no	—
498	#3307	—	5	1	no	—
499	#3301	—	5	1	no	—
500	#3300	—	5	1	no	—
501	#3284	—	5	1	no	—
502	#3283	—	5	1	no	—
503	#3278	—	5	1	no	—
504	#3276	—	5	1	no	—
505	#3271	—	5	1	no	—
506	#3269	—	5	1	no	—
507	#3268	—	5	1	no	—
508	#3267	—	5	1	no	—
509	#3223	—	5	1	no	—
510	#3221	—	5	1	no	—
511	#3204	—	5	1	no	—
512	#3203	—	5	1	no	—
513	#3196	—	5	1	no	—
514	#3190	—	5	1	no	—
515	#3120	—	5	1	no	—
516	#3119	—	5	1	no	—
517	#3013	—	5	1	no	—
518	#3013	—	5	1	no	—
519	#3005	—	5	1	no	—
520	#3002	—	5	1	no	—
521	#2976	—	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	C₅×#41	—	4	1	no	—
531	C₅×#41	—	4	1	no	—
532	C₅×#41	—	4	1	no	—
533	C₅×#41	—	4	1	no	—
534	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
535	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	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	C₂×D₄	1	1	yes	characteristic
554	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
555	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
556	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
557	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
562	C₂²×C₄×C₅	—	2	1	no	—
563	C₂²×C₄×C₅	—	2	1	no	—
564	C₂²×C₄×C₅	—	2	1	no	—
565	C₂²×C₄×C₅	—	2	1	no	—
566	C₂²×C₄×C₅	—	4	1	no	—
567	C₂²×C₄×C₅	—	4	1	no	—
568	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
569	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
570	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
571	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
580	C₂×C₂²⋊D₅	—	2	1	no	—
581	C₂×C₂²⋊D₅	—	2	1	no	—
582	C₂×C₂²⋊D₅	—	2	1	no	—
583	C₂×C₂²⋊D₅	—	2	1	no	—
584	C₂×C₂²⋊D₅	—	4	4	no	—
585	C₂²×Dic₅	—	2	1	no	—
586	C₂²×Dic₅	—	2	1	no	—
587	C₂²×Dic₅	—	2	1	no	—
588	C₂²×Dic₅	—	2	1	no	—
589	C₂²×Dic₅	—	2	1	no	—
590	Q₈×D₅	—	4	4	no	—
591	#711	—	4	4	no	—
592	#711	—	4	4	no	—
593	#711	—	4	4	no	—
594	#709	—	2	2	no	—
595	#709	—	2	2	no	—
596	#709	—	2	2	no	—
597	#709	—	2	2	no	—
598	#709	—	2	2	no	—
599	#709	—	2	2	no	—
600	#709	—	4	1	no	—
601	#709	—	4	1	no	—
602	#709	—	4	1	no	—
603	#709	—	4	1	no	—
604	#709	—	4	1	no	—
605	#709	—	4	1	no	—
606	#709	—	4	4	no	—
607	#709	—	4	4	no	—
608	C₂×D₂₀	—	2	2	no	—
609	C₂×D₂₀	—	2	1	no	—
610	C₂×D₂₀	—	4	1	no	—
611	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
612	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	4	4	no	—
622	C₂×Dic₁₀	—	2	2	no	—
623	C₂×Dic₁₀	—	2	2	no	—
624	C₂×Dic₁₀	—	2	2	no	—
625	C₂×Dic₁₀	—	2	1	no	—
626	C₂×Dic₁₀	—	2	1	no	—
627	C₂×Dic₁₀	—	2	1	no	—
628	C₂×Dic₁₀	—	2	1	no	—
629	C₂×Dic₁₀	—	4	1	no	—
630	C₂×Dic₁₀	—	4	1	no	—
631	C₂×Dic₁₀	—	4	1	no	—
632	C₂×Dic₁₀	—	4	1	no	—
633	C₂×Dic₁₀	—	4	1	no	—
634	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
635	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
636	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
637	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
653	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
659	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
660	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
661	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
662	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
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	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	4	1	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	#688	—	2	2	no	—
711	#688	—	2	2	no	—
712	#688	—	4	1	no	—
713	#688	—	4	1	no	—
714	#687	—	2	2	no	—
715	#687	—	2	2	no	—
716	#687	—	4	1	no	—
717	#687	—	4	1	no	—
718	#687	—	4	1	no	—
719	#687	—	4	1	no	—
720	#687	—	4	1	no	—
721	#687	—	4	1	no	—
722	#686	—	2	2	no	—
723	#686	—	2	2	no	—
724	#686	—	4	1	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	C₂×#168	—	4	1	no	—
756	C₂×#168	—	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×AGL(1,ℤ/8)	—	5	1	no	—
773	C₂×#135	—	5	1	no	—
774	C₂×#135	—	5	1	no	—
775	C₂×#135	—	5	1	no	—
776	C₂×#135	—	5	1	no	—
777	#560	—	2	1	no	—
778	#560	—	2	1	no	—
779	#553	—	2	1	no	—
780	#553	—	2	1	no	—
781	#553	C₂×D₅	1	1	yes	characteristic
782	#553	C₂×D₅	1	1	yes	characteristic, complemented
783	#552	C₂×D₅	1	1	yes	characteristic
784	#552	C₂×D₅	1	1	yes	characteristic, complemented
785	#550	C₂×D₅	1	1	yes	characteristic
786	#550	C₂×D₅	1	1	yes	characteristic, complemented
787	D₄×Q₈	—	5	1	no	—
788	D₄×Q₈	—	5	1	no	—
789	#548	—	5	1	no	—
790	#548	—	5	1	no	—
791	#547	—	5	1	no	—
792	#547	—	5	1	no	—
793	#547	—	10	1	no	—
794	#547	—	10	1	no	—
795	#547	C₂×D₅	1	1	yes	characteristic
796	#547	C₂×D₅	1	1	yes	characteristic, complemented
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#541	C₂×D₅	1	1	yes	characteristic, complemented
802	#540	—	2	1	no	—
803	#540	—	2	1	no	—
804	#540	C₂×D₅	1	1	yes	characteristic, complemented
805	#539	—	2	1	no	—
806	#539	—	2	1	no	—
807	#537	—	5	1	no	—
808	#537	—	10	1	no	—
809	#537	C₂×D₅	1	1	yes	characteristic, complemented
810	#537	C₂×D₅	1	1	yes	characteristic, complemented
811	#536	—	5	1	no	—
812	#536	—	10	1	no	—
813	#525	—	10	1	no	—
814	#525	C₂×D₅	1	1	yes	characteristic
815	#525	C₂×D₅	1	1	yes	characteristic
816	#525	C₂×D₅	1	1	yes	characteristic
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×C₂²⋊Q₈	—	10	1	no	—
819	#520	—	5	1	no	—
820	#497	—	5	1	no	—
821	#496	—	5	1	no	—
822	#494	—	5	1	no	—
823	#492	—	5	1	no	—
824	#491	—	5	1	no	—
825	#491	—	5	1	no	—
826	#488	—	5	1	no	—
827	#488	—	5	1	no	—
828	#485	—	5	1	no	—
829	#485	—	5	1	no	—
830	#485	—	5	1	no	—
831	#485	—	5	1	no	—
832	#484	—	5	1	no	—
833	#484	—	5	1	no	—
834	#483	—	5	1	no	—
835	#483	—	5	1	no	—
836	#481	—	5	1	no	—
837	#481	—	5	1	no	—
838	#480	—	5	1	no	—
839	#480	—	5	1	no	—
840	#479	—	5	1	no	—
841	#479	—	5	1	no	—
842	#478	—	5	1	no	—
843	#478	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	—	5	1	no	—
846	#470	—	5	1	no	—
847	#469	—	5	1	no	—
848	#468	—	5	1	no	—
849	#468	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#467	—	5	1	no	—
855	#466	—	5	1	no	—
856	#465	—	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	#463	—	5	1	no	—
863	#463	—	5	1	no	—
864	#462	—	5	1	no	—
865	#462	—	5	1	no	—
866	#462	—	5	1	no	—
867	#461	—	5	1	no	—
868	#461	—	5	1	no	—
869	#461	—	5	1	no	—
870	#460	—	5	1	no	—
871	#459	—	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	#450	—	5	1	no	—
892	#449	—	5	1	no	—
893	#449	—	5	1	no	—
894	#449	—	5	1	no	—
895	#449	—	5	1	no	—
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#448	—	5	1	no	—
903	#448	—	5	1	no	—
904	#448	—	5	1	no	—
905	#448	—	5	1	no	—
906	#448	—	5	1	no	—
907	#447	—	5	1	no	—
908	#442	—	5	1	no	—
909	#441	—	5	1	no	—
910	#440	—	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×D₈	—	5	1	no	—
916	#436	—	5	1	no	—
917	#436	—	5	1	no	—
918	#435	—	5	1	no	—
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	—	5	1	no	—
924	#433	—	5	1	no	—
925	#433	—	5	1	no	—
926	#419	—	5	1	no	—
927	#418	—	5	1	no	—
928	#417	—	5	1	no	—
929	#417	—	5	1	no	—
930	#416	—	5	1	no	—
931	#416	—	5	1	no	—
932	C₂×#103	—	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	C₂×C₂²⋊C₈	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	—	2	1	no	—
940	C₂³×C₅	—	4	1	no	—
941	C₂³×C₅	—	4	1	no	—
942	C₂³×C₅	—	4	1	no	—
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	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂²×D₅	—	2	1	no	—
949	C₂²×D₅	—	2	1	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	4	2	no	—
952	C₂²×D₅	—	8	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	—	4	1	no	—
958	C₅×D₄	—	2	1	no	—
959	C₅×D₄	—	2	1	no	—
960	C₅×D₄	—	2	1	no	—
961	C₅×D₄	—	2	1	no	—
962	C₅×D₄	—	4	1	no	—
963	C₅×D₄	—	4	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	—	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	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	—	2	1	no	—
994	C₂×C₄×C₅	—	2	1	no	—
995	C₂×C₄×C₅	—	2	1	no	—
996	C₂×C₄×C₅	—	2	1	no	—
997	C₂×C₄×C₅	—	4	1	no	—
998	C₂×C₄×C₅	—	4	1	no	—
999	C₂×C₄×C₅	—	4	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	—	8	1	no	—
1004	C₂×C₄×C₅	—	8	1	no	—
1005	C₂×C₄×C₅	—	8	1	no	—
1006	C₂×C₄×C₅	—	8	1	no	—
1007	C₂×C₄×C₅	—	8	1	no	—
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	C₂²×D₄	1	1	yes	characteristic
1013	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1014	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1015	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1016	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1017	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1018	C₂²⋊D₅	—	2	4	no	—
1019	C₂²⋊D₅	—	4	2	no	—
1020	C₂²⋊D₅	—	4	2	no	—
1021	C₂²⋊D₅	—	4	2	no	—
1022	C₂²⋊D₅	—	4	2	no	—
1023	C₂²⋊D₅	—	4	2	no	—
1024	C₂²⋊D₅	—	8	1	no	—
1025	C₂²⋊D₅	—	8	1	no	—
1026	C₂×Dic₅	—	2	1	no	—
1027	C₂×Dic₅	—	2	1	no	—
1028	C₂×Dic₅	—	2	1	no	—
1029	C₂×Dic₅	—	2	1	no	—
1030	C₂×Dic₅	—	2	1	no	—
1031	C₂×Dic₅	—	2	1	no	—
1032	C₂×Dic₅	—	4	2	no	—
1033	C₂×Dic₅	—	4	2	no	—
1034	C₂×Dic₅	—	4	2	no	—
1035	C₂×Dic₅	—	4	2	no	—
1036	C₂×Dic₅	—	8	1	no	—
1037	D₂₀	—	2	1	no	—
1038	D₂₀	—	2	1	no	—
1039	D₂₀	—	2	1	no	—
1040	D₂₀	—	4	2	no	—
1041	D₂₀	H(5,𝔽₂)	1	2	yes	—
1042	C₄×D₅	—	2	4	no	—
1043	C₄×D₅	—	4	2	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	4	2	no	—
1046	C₄×D₅	—	4	2	no	—
1047	C₄×D₅	—	4	2	no	—
1048	C₄×D₅	—	8	1	no	—
1049	C₄×D₅	—	8	1	no	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	2	1	no	—
1056	Dic₁₀	—	2	1	no	—
1057	Dic₁₀	—	4	2	no	—
1058	Dic₁₀	—	4	2	no	—
1059	Dic₁₀	—	4	2	no	—
1060	Dic₁₀	—	4	2	no	—
1061	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1062	#168	—	2	1	no	—
1063	#168	—	2	1	no	—
1064	#168	—	2	1	no	—
1065	#168	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	#168	—	2	1	no	—
1068	#168	—	2	1	no	—
1069	#168	—	2	1	no	—
1070	2₋¹⁺⁴	—	20	2	no	—
1071	2₋¹⁺⁴	—	20	2	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	5	1	no	—
1074	C₂×#41	—	5	1	no	—
1075	C₂×#41	—	5	1	no	—
1076	C₂×#41	—	5	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	10	1	no	—
1079	C₂×#41	—	10	1	no	—
1080	C₂×#41	—	10	1	no	—
1081	C₂×#41	—	10	1	no	—
1082	C₂×#41	—	10	1	no	—
1083	C₂×#41	—	20	2	no	—
1084	C₂×#41	—	20	2	no	—
1085	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1086	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1087	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1088	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1089	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1090	C₂²×Q₈	—	5	1	no	—
1091	C₂²×Q₈	—	5	1	no	—
1092	C₂²×Q₈	—	5	1	no	—
1093	C₂²×Q₈	—	5	1	no	—
1094	C₂²×Q₈	—	10	1	no	—
1095	C₂²×D₄	—	5	1	no	—
1096	C₂²×D₄	—	10	1	no	—
1097	C₂³×C₄	—	10	1	no	—
1098	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1099	#137	—	20	2	no	—
1100	#137	—	20	2	no	—
1101	#137	—	20	2	no	—
1102	AGL(1,ℤ/8)	—	20	2	no	—
1103	#135	—	20	2	no	—
1104	#135	—	20	2	no	—
1105	#135	—	20	2	no	—
1106	#135	—	20	2	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	—	5	1	no	—
1114	C₂×Q₁₆	—	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×SD₁₆	—	5	1	no	—
1125	C₂×SD₁₆	—	5	1	no	—
1126	C₂×SD₁₆	—	5	1	no	—
1127	C₂×D₈	—	5	1	no	—
1128	C₂×D₈	—	5	1	no	—
1129	C₂×D₈	—	5	1	no	—
1130	C₂×D₈	—	5	1	no	—
1131	C₂×M₁₆	—	5	1	no	—
1132	C₂×M₁₆	—	5	1	no	—
1133	C₂×M₁₆	—	5	1	no	—
1134	C₂×M₁₆	—	5	1	no	—
1135	C₂²×C₈	—	5	1	no	—
1136	C₂²×C₈	—	5	1	no	—
1137	C₂²×C₈	—	5	1	no	—
1138	C₂²×C₈	—	5	1	no	—
1139	C₄⋊Q₈	—	5	1	no	—
1140	C₄⋊Q₈	—	5	1	no	—
1141	C₄⋊Q₈	—	10	1	no	—
1142	C₄⋊Q₈	—	10	1	no	—
1143	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1144	#127	—	2	1	no	—
1145	#127	—	2	1	no	—
1146	#127	C₂²×D₅	1	1	yes	characteristic
1147	#126	—	2	1	no	—
1148	#126	—	2	1	no	—
1149	#126	—	2	1	no	—
1150	#126	—	2	1	no	—
1151	#126	—	2	1	no	—
1152	#126	—	2	1	no	—
1153	#125	—	2	1	no	—
1154	#125	—	2	1	no	—
1155	#125	—	2	1	no	—
1156	#125	—	2	1	no	—
1157	#125	C₂²×D₅	1	1	yes	characteristic
1158	#125	C₂²×D₅	1	1	yes	characteristic
1159	#124	—	5	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#123	—	2	1	no	—
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	—	2	1	no	—
1173	#123	—	2	1	no	—
1174	#123	—	2	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	—	10	1	no	—
1181	#123	—	10	1	no	—
1182	#123	—	10	1	no	—
1183	#123	C₂²⋊D₅	1	1	yes	characteristic
1184	#123	C₂²⋊D₅	1	1	yes	characteristic
1185	C₂²⋊Q₈	—	2	1	no	—
1186	C₂²⋊Q₈	—	2	1	no	—
1187	C₂²⋊Q₈	—	5	1	no	—
1188	C₂²⋊Q₈	—	5	1	no	—
1189	C₂²⋊Q₈	—	5	1	no	—
1190	C₂²⋊Q₈	—	5	1	no	—
1191	C₂²⋊Q₈	—	5	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	10	1	no	—
1194	C₂²⋊Q₈	—	10	1	no	—
1195	C₂²⋊Q₈	—	10	1	no	—
1196	C₂²⋊Q₈	—	10	1	no	—
1197	C₂²⋊Q₈	—	10	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	C₂²⋊D₅	1	1	yes	characteristic
1205	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1206	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1207	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1208	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
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	#121	—	2	1	no	—
1213	#121	—	2	1	no	—
1214	#121	—	2	1	no	—
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	2	1	no	—
1218	#121	—	2	1	no	—
1219	#121	—	2	1	no	—
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	—	2	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	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	—	10	1	no	—
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	#121	C₂²×D₅	1	1	yes	characteristic
1244	#121	C₂²×D₅	1	1	yes	characteristic
1245	#121	C₂²×D₅	1	1	yes	characteristic
1246	#121	C₂²×D₅	1	1	yes	characteristic
1247	#120	—	2	1	no	—
1248	#120	—	2	1	no	—
1249	#120	—	10	1	no	—
1250	#120	—	10	1	no	—
1251	#120	C₂²⋊D₅	1	1	yes	characteristic
1252	#120	C₂²⋊D₅	1	1	yes	characteristic
1253	C₄×Q₈	—	5	1	no	—
1254	C₄×Q₈	—	5	1	no	—
1255	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1256	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	2	1	no	—
1264	C₄×D₄	—	2	1	no	—
1265	C₄×D₄	—	5	1	no	—
1266	C₄×D₄	—	5	1	no	—
1267	C₄×D₄	—	10	1	no	—
1268	C₄×D₄	—	10	1	no	—
1269	C₄×D₄	—	10	1	no	—
1270	C₄×D₄	—	10	1	no	—
1271	C₄×D₄	—	10	1	no	—
1272	C₄×D₄	—	10	1	no	—
1273	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1274	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1277	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1278	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1279	#117	—	2	1	no	—
1280	#117	—	2	1	no	—
1281	#117	—	10	1	no	—
1282	#117	C₂²×D₅	1	1	yes	characteristic
1283	#117	C₂²×D₅	1	1	yes	characteristic
1284	#117	C₂²×D₅	1	1	yes	characteristic
1285	C₂×C₄⋊C₄	—	2	1	no	—
1286	C₂×C₄⋊C₄	—	2	1	no	—
1287	C₂×C₄⋊C₄	—	5	1	no	—
1288	C₂×C₄⋊C₄	—	10	1	no	—
1289	C₂×C₄⋊C₄	—	10	1	no	—
1290	C₂×C₄⋊C₄	—	10	1	no	—
1291	C₂×C₄⋊C₄	—	10	1	no	—
1292	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1293	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1294	C₂×C₂²⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	10	1	no	—
1297	#107	—	5	1	no	—
1298	#107	—	5	1	no	—
1299	#107	—	5	1	no	—
1300	#107	—	5	1	no	—
1301	#106	—	5	1	no	—
1302	#106	—	5	1	no	—
1303	#106	—	5	1	no	—
1304	#106	—	5	1	no	—
1305	C₄⋊C₈	—	5	1	no	—
1306	C₄⋊C₈	—	5	1	no	—
1307	C₄⋊C₈	—	5	1	no	—
1308	C₄⋊C₈	—	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	#103	—	5	1	no	—
1327	#103	—	5	1	no	—
1328	#103	—	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	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	—	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	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	—	5	1	no	—
1352	C₂²⋊C₈	—	5	1	no	—
1353	#97	—	5	1	no	—
1354	#97	—	5	1	no	—
1355	C₄×C₈	—	5	1	no	—
1356	C₄×C₈	—	5	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	—	2	1	no	—
1368	C₂²×C₅	—	2	1	no	—
1369	C₂²×C₅	—	2	1	no	—
1370	C₂²×C₅	—	2	1	no	—
1371	C₂²×C₅	—	2	1	no	—
1372	C₂²×C₅	—	4	1	no	—
1373	C₂²×C₅	—	4	1	no	—
1374	C₂²×C₅	—	4	1	no	—
1375	C₂²×C₅	—	4	1	no	—
1376	C₂²×C₅	—	4	1	no	—
1377	C₂²×C₅	—	4	1	no	—
1378	C₂²×C₅	—	8	2	no	—
1379	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1380	C₂×D₅	—	2	2	no	—
1381	C₂×D₅	—	4	1	no	—
1382	C₂×D₅	—	4	1	no	—
1383	C₂×D₅	—	4	1	no	—
1384	C₂×D₅	—	4	1	no	—
1385	C₂×D₅	—	4	1	no	—
1386	C₂×D₅	—	8	4	no	—
1387	C₄×C₅	—	2	1	no	—
1388	C₄×C₅	—	2	1	no	—
1389	C₄×C₅	—	2	1	no	—
1390	C₄×C₅	—	2	1	no	—
1391	C₄×C₅	—	2	1	no	—
1392	C₄×C₅	—	2	1	no	—
1393	C₄×C₅	—	2	1	no	—
1394	C₄×C₅	—	2	1	no	—
1395	C₄×C₅	—	2	1	no	—
1396	C₄×C₅	—	4	1	no	—
1397	C₄×C₅	—	4	1	no	—
1398	C₄×C₅	—	4	1	no	—
1399	C₄×C₅	—	4	1	no	—
1400	C₄×C₅	—	4	1	no	—
1401	C₄×C₅	—	4	1	no	—
1402	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1403	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1404	Dic₅	—	2	2	no	—
1405	Dic₅	—	4	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	—	4	1	no	—
1408	Dic₅	—	4	1	no	—
1409	Dic₅	—	4	1	no	—
1410	C₂⁴	—	10	1	no	—
1411	C₂⁴	C₂×C₂²⋊D₅	1	1	yes	characteristic
1412	#41	—	4	1	no	—
1413	#41	—	4	1	no	—
1414	#41	—	4	1	no	—
1415	#41	—	4	1	no	—
1416	#41	—	4	1	no	—
1417	#41	—	4	1	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	10	2	no	—
1423	#41	—	10	2	no	—
1424	#41	—	10	2	no	—
1425	#41	—	10	2	no	—
1426	#41	—	10	2	no	—
1427	#41	—	10	2	no	—
1428	#41	—	20	1	no	—
1429	#41	—	20	1	no	—
1430	#41	—	20	1	no	—
1431	#41	—	20	1	no	—
1432	#41	—	20	1	no	—
1433	#41	—	20	1	no	—
1434	#41	—	20	4	no	—
1435	#41	—	20	4	no	—
1436	#41	—	20	4	no	—
1437	#41	—	20	4	no	—
1438	#41	—	20	4	no	—
1439	C₂×Q₈	—	5	1	no	—
1440	C₂×Q₈	—	5	1	no	—
1441	C₂×Q₈	—	5	1	no	—
1442	C₂×Q₈	—	5	1	no	—
1443	C₂×Q₈	—	10	2	no	—
1444	C₂×Q₈	—	10	2	no	—
1445	C₂×Q₈	—	10	2	no	—
1446	C₂×Q₈	—	10	1	no	—
1447	C₂×Q₈	—	10	1	no	—
1448	C₂×Q₈	—	10	1	no	—
1449	C₂×Q₈	—	10	1	no	—
1450	C₂×Q₈	—	20	1	no	—
1451	C₂×Q₈	—	20	1	no	—
1452	C₂×Q₈	—	20	1	no	—
1453	C₂×Q₈	—	20	1	no	—
1454	C₂×Q₈	—	20	1	no	—
1455	C₂×Q₈	—	20	4	no	—
1456	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1457	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1458	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	2	1	no	—
1463	C₂×D₄	—	2	1	no	—
1464	C₂×D₄	—	2	1	no	—
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	2	1	no	—
1470	C₂×D₄	—	2	1	no	—
1471	C₂×D₄	—	5	1	no	—
1472	C₂×D₄	—	5	1	no	—
1473	C₂×D₄	—	10	2	no	—
1474	C₂×D₄	—	10	1	no	—
1475	C₂×D₄	—	10	1	no	—
1476	C₂×D₄	—	10	1	no	—
1477	C₂×D₄	—	10	1	no	—
1478	C₂×D₄	—	10	1	no	—
1479	C₂×D₄	—	10	1	no	—
1480	C₂×D₄	—	10	1	no	—
1481	C₂×D₄	—	10	1	no	—
1482	C₂×D₄	—	10	1	no	—
1483	C₂×D₄	—	20	1	no	—
1484	C₂×D₄	—	20	4	no	—
1485	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1486	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1487	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1488	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1489	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1490	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1491	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	4	1	no	—
1503	C₂²×C₄	—	4	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	10	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	20	4	no	—
1518	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1519	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1520	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1521	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1522	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1523	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1525	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1526	Q₁₆	—	10	2	no	—
1527	Q₁₆	—	10	2	no	—
1528	Q₁₆	—	20	1	no	—
1529	Q₁₆	—	20	1	no	—
1530	Q₁₆	—	20	1	no	—
1531	Q₁₆	—	20	1	no	—
1532	Q₁₆	—	20	1	no	—
1533	Q₁₆	—	20	1	no	—
1534	SD₁₆	—	10	2	no	—
1535	SD₁₆	—	10	2	no	—
1536	SD₁₆	—	10	2	no	—
1537	SD₁₆	—	10	2	no	—
1538	SD₁₆	—	20	1	no	—
1539	SD₁₆	—	20	1	no	—
1540	SD₁₆	—	20	1	no	—
1541	SD₁₆	—	20	1	no	—
1542	SD₁₆	—	20	1	no	—
1543	SD₁₆	—	20	1	no	—
1544	SD₁₆	—	20	1	no	—
1545	SD₁₆	—	20	1	no	—
1546	D₈	—	10	2	no	—
1547	D₈	—	10	2	no	—
1548	D₈	—	20	1	no	—
1549	D₈	—	20	1	no	—
1550	M₁₆	—	20	1	no	—
1551	M₁₆	—	20	1	no	—
1552	M₁₆	—	20	1	no	—
1553	M₁₆	—	20	1	no	—
1554	C₂×C₈	—	5	1	no	—
1555	C₂×C₈	—	5	1	no	—
1556	C₂×C₈	—	5	1	no	—
1557	C₂×C₈	—	5	1	no	—
1558	C₂×C₈	—	5	1	no	—
1559	C₂×C₈	—	5	1	no	—
1560	C₂×C₈	—	5	1	no	—
1561	C₂×C₈	—	5	1	no	—
1562	C₂×C₈	—	20	1	no	—
1563	C₂×C₈	—	20	1	no	—
1564	C₂×C₈	—	20	1	no	—
1565	C₂×C₈	—	20	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	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	5	1	no	—
1583	C₄⋊C₄	—	5	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	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1598	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1599	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1600	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1601	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1602	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1603	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1604	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1605	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1606	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
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	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	2	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	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1638	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1639	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1640	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1641	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1642	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1643	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1644	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1645	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1646	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1647	C₄²	—	2	1	no	—
1648	C₄²	—	2	1	no	—
1649	C₄²	—	2	1	no	—
1650	C₄²	—	2	1	no	—
1651	C₄²	—	10	1	no	—
1652	C₄²	—	10	1	no	—
1653	C₄²	C₂³×D₅	1	1	yes	characteristic
1654	C₄²	C₂³×D₅	1	1	yes	characteristic
1655	C₂×C₅	—	4	1	no	—
1656	C₂×C₅	—	4	1	no	—
1657	C₂×C₅	—	4	1	no	—
1658	C₂×C₅	—	4	1	no	—
1659	C₂×C₅	—	4	1	no	—
1660	C₂×C₅	—	8	1	no	—
1661	C₂×C₅	—	8	1	no	—
1662	C₂×C₅	#3484	1	1	yes	characteristic
1663	C₂×C₅	#3584	1	1	yes	characteristic
1664	C₂×C₅	#3586	1	1	yes	characteristic
1665	D₅	—	4	2	no	—
1666	D₅	—	8	1	no	—
1667	C₂³	—	2	1	no	—
1668	C₂³	—	2	1	no	—
1669	C₂³	—	4	1	no	—
1670	C₂³	—	4	1	no	—
1671	C₂³	—	4	1	no	—
1672	C₂³	—	10	1	no	—
1673	C₂³	—	10	1	no	—
1674	C₂³	—	20	2	no	—
1675	C₂³	—	20	2	no	—
1676	C₂³	—	40	1	no	—
1677	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1678	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1679	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1680	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1681	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1682	Q₈	—	2	1	no	—
1683	Q₈	—	2	1	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	4	1	no	—
1687	Q₈	—	5	2	no	—
1688	Q₈	—	10	1	no	—
1689	Q₈	—	10	1	no	—
1690	Q₈	—	10	1	no	—
1691	Q₈	—	10	1	no	—
1692	Q₈	—	10	1	no	—
1693	Q₈	—	10	1	no	—
1694	Q₈	—	10	1	no	—
1695	Q₈	—	20	2	no	—
1696	Q₈	—	20	2	no	—
1697	Q₈	—	20	2	no	—
1698	Q₈	—	20	2	no	—
1699	D₄	—	2	1	no	—
1700	D₄	—	2	1	no	—
1701	D₄	—	2	1	no	—
1702	D₄	—	2	1	no	—
1703	D₄	—	4	1	no	—
1704	D₄	—	4	1	no	—
1705	D₄	—	4	1	no	—
1706	D₄	—	4	1	no	—
1707	D₄	—	4	1	no	—
1708	D₄	—	4	1	no	—
1709	D₄	—	4	1	no	—
1710	D₄	—	5	2	no	—
1711	D₄	—	8	1	no	—
1712	D₄	—	8	1	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	8	1	no	—
1717	D₄	—	8	1	no	—
1718	D₄	—	8	1	no	—
1719	D₄	—	8	1	no	—
1720	D₄	—	8	1	no	—
1721	D₄	—	8	1	no	—
1722	D₄	—	8	1	no	—
1723	D₄	—	10	4	no	—
1724	D₄	—	10	1	no	—
1725	D₄	—	10	1	no	—
1726	D₄	—	10	1	no	—
1727	D₄	—	20	2	no	—
1728	D₄	—	20	2	no	—
1729	D₄	—	20	2	no	—
1730	D₄	—	20	2	no	—
1731	D₄	—	20	2	no	—
1732	D₄	—	20	2	no	—
1733	D₄	—	40	1	no	—
1734	D₄	—	40	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	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	4	1	no	—
1752	C₂×C₄	—	4	1	no	—
1753	C₂×C₄	—	4	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	8	1	no	—
1756	C₂×C₄	—	8	1	no	—
1757	C₂×C₄	—	8	1	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	8	1	no	—
1760	C₂×C₄	—	8	1	no	—
1761	C₂×C₄	—	8	1	no	—
1762	C₂×C₄	—	10	4	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	20	2	no	—
1770	C₂×C₄	—	20	2	no	—
1771	C₂×C₄	—	20	2	no	—
1772	C₂×C₄	—	20	2	no	—
1773	C₂×C₄	—	20	2	no	—
1774	C₂×C₄	—	20	2	no	—
1775	C₂×C₄	—	20	2	no	—
1776	C₂×C₄	—	20	2	no	—
1777	C₂×C₄	—	20	2	no	—
1778	C₂×C₄	—	40	1	no	—
1779	C₂×C₄	—	40	1	no	—
1780	C₂×C₄	—	40	1	no	—
1781	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1782	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1783	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1784	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1785	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1786	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1787	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1788	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1791	C₈	—	10	1	no	—
1792	C₈	—	10	1	no	—
1793	C₈	—	10	1	no	—
1794	C₈	—	10	1	no	—
1795	C₈	—	10	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₅	#61626	1	1	yes	characteristic, complemented, Sylow
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	2	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	4	1	no	—
1818	C₂²	—	4	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	8	2	no	—
1822	C₂²	—	10	2	no	—
1823	C₂²	—	20	1	no	—
1824	C₂²	—	20	1	no	—
1825	C₂²	—	20	1	no	—
1826	C₂²	—	20	1	no	—
1827	C₂²	—	20	1	no	—
1828	C₂²	—	40	4	no	—
1829	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	2	1	no	—
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	10	2	no	—
1846	C₄	—	20	1	no	—
1847	C₄	—	20	1	no	—
1848	C₄	—	20	1	no	—
1849	C₄	—	20	1	no	—
1850	C₄	—	20	1	no	—
1851	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1852	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1853	C₂	—	4	1	no	—
1854	C₂	—	4	1	no	—
1855	C₂	—	4	1	no	—
1856	C₂	—	4	1	no	—
1857	C₂	—	4	1	no	—
1858	C₂	—	8	1	no	—
1859	C₂	—	8	1	no	—
1860	C₂	—	20	2	no	—
1861	C₂	—	40	1	no	—
1862	C₂	#10619185	1	1	yes	characteristic
1863	C₂	#10619198	1	1	yes	characteristic
1864	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×#3539	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3539	D₅
hypocenter	C₅	#61626
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3539

Complements

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

N	H ≅ G/N	type
1. C₅×#3539	C₂	semidirect
2. #10617943	C₂	semidirect
3. #10615351	C₂	semidirect
4. #10615349	C₂	semidirect
5. #10615348	C₂	semidirect
6. #10615346	C₂	semidirect
7. #10615334	C₂	semidirect
8. #10615333	C₂	semidirect
9. #10615332	C₂	semidirect
10. #10615331	C₂	semidirect
11. #10615315	C₂	semidirect
12. #10615314	C₂	semidirect
13. #10615310	C₂	semidirect
14. #10615308	C₂	semidirect
15. #10615260	C₂	semidirect
16. #10615259	C₂	semidirect
17. #10615255	C₂	semidirect
18. #10615253	C₂	semidirect
19. #10615183	C₂	semidirect
20. #10615177	C₂	semidirect
21. #10615171	C₂	semidirect
22. #10615165	C₂	semidirect
23. #10615160	C₂	semidirect
24. #10615158	C₂	semidirect
25. #10615158	C₂	semidirect
26. #10615157	C₂	semidirect
27. #10614666	C₂	semidirect
28. #10614665	C₂	semidirect
29. #10614659	C₂	semidirect
30. #10614657	C₂	semidirect
31. #10614650	C₂	semidirect
39. C₅×#553	C₂²	semidirect
41. C₅×#552	C₂²	semidirect
43. C₅×#550	C₂²	semidirect
45. C₅×#547	C₂²	semidirect
46. C₅×#541	C₂²	semidirect
49. C₅×#540	C₂²	semidirect
52. C₅×#537	C₂²	semidirect
53. C₅×#537	C₂²	semidirect
59. C₂×#4097	C₂²	semidirect
60. C₂×#4097	C₂²	semidirect
63. C₂×#4096	C₂²	semidirect
64. C₂×#4096	C₂²	semidirect
87. #65528	C₂²	semidirect
88. #65528	C₂²	semidirect
89. #65528	C₂²	semidirect
90. #65528	C₂²	semidirect
91. #65527	C₂²	semidirect
92. #65527	C₂²	semidirect
93. #65523	C₂²	semidirect
94. #65523	C₂²	semidirect
97. #65381	C₂²	semidirect
98. #65379	C₂²	semidirect
99. #65375	C₂²	semidirect
100. #65372	C₂²	semidirect
101. #65365	C₂²	semidirect
102. #65364	C₂²	semidirect
103. #65363	C₂²	semidirect
104. #65361	C₂²	semidirect
105. #65358	C₂²	semidirect
106. #65358	C₂²	semidirect
107. #65357	C₂²	semidirect
108. #65357	C₂²	semidirect
109. #65355	C₂²	semidirect
110. #65355	C₂²	semidirect
111. #65352	C₂²	semidirect
112. #65352	C₂²	semidirect
115. #65341	C₂²	semidirect
116. #65340	C₂²	semidirect
117. #65340	C₂²	semidirect
118. #65340	C₂²	semidirect
120. #65339	C₂²	semidirect
121. #65339	C₂²	semidirect
122. #65339	C₂²	semidirect
123. #65339	C₂²	semidirect
124. #65338	C₂²	semidirect
125. #65337	C₂²	semidirect
132. #65336	C₂²	semidirect
133. #65336	C₂²	semidirect
135. #65333	C₂²	semidirect
136. #65332	C₂²	semidirect
139. #65331	C₂²	semidirect
140. #65330	C₂²	semidirect
141. #65330	C₂²	semidirect
142. #65330	C₂²	semidirect
144. #65329	C₂²	semidirect
145. #65329	C₂²	semidirect
146. #65329	C₂²	semidirect
147. #65329	C₂²	semidirect
148. #65328	C₂²	semidirect
149. #65327	C₂²	semidirect
156. #65326	C₂²	semidirect
157. #65326	C₂²	semidirect
159. #65323	C₂²	semidirect
160. #65322	C₂²	semidirect
161. #65320	C₂²	semidirect
162. #65320	C₂²	semidirect
163. #65319	C₂²	semidirect
164. C₄×#689	C₂²	semidirect
165. #65317	C₂²	semidirect
166. #65317	C₂²	semidirect
167. #65315	C₂²	semidirect
168. C₄×#688	C₂²	semidirect
169. #65308	C₂²	semidirect
170. #65308	C₂²	semidirect
171. #65307	C₂²	semidirect
172. C₄×#687	C₂²	semidirect
173. #65305	C₂²	semidirect
174. #65305	C₂²	semidirect
175. #65303	C₂²	semidirect
176. C₄×#686	C₂²	semidirect
181. #65300	C₂²	semidirect
182. #65300	C₂²	semidirect
183. D₄×#168	C₂²	semidirect
184. D₄×#168	C₂²	semidirect
189. #65289	C₂²	semidirect
190. #65289	C₂²	semidirect
193. #65285	C₂²	semidirect
194. #65285	C₂²	semidirect
195. #65260	C₂²	semidirect
196. #65259	C₂²	semidirect
197. C₂×#3942	C₂²	semidirect
198. C₂×#3942	C₂²	semidirect
199. #65257	C₂²	semidirect
200. #65256	C₂²	semidirect
201. #65255	C₂²	semidirect
202. #65255	C₂²	semidirect
491. #3539	D₅	semidirect
782. #553	C₂×D₅	semidirect
784. #552	C₂×D₅	semidirect
786. #550	C₂×D₅	semidirect
796. #547	C₂×D₅	semidirect
801. #541	C₂×D₅	semidirect
804. #540	C₂×D₅	semidirect
809. #537	C₂×D₅	semidirect
810. #537	C₂×D₅	semidirect
1799. C₅	#61626	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3539	2
#10617943	2
#10615351	2
#10615349	2
#10615348	2
#10615346	2
#10615334	2
#10615333	2
#10615332	2
#10615331	2
#10615315	2
#10615314	2
#10615310	2
#10615308	2
#10615260	2
#10615259	2
#10615255	2
#10615253	2
#10615183	2
#10615177	2
#10615171	2
#10615165	2
#10615160	2
#10615158	2
#10615157	2
#10614666	2
#10614665	2
#10614659	2
#10614657	2
#10614650	2
#61626	5