Subgroups — #12984942

Order 1280.

2022 conjugacy classes of subgroups.

The subgroup lattice has 1832 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3486	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617957	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615848	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615845	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#65517	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615790	C₂	1	1	yes	maximal, characteristic, complemented
7	D₄×#689	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615296	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615296	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615291	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615285	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615284	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615283	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615282	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615280	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615279	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615277	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615274	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615272	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615269	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615268	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615266	C₂	1	1	yes	maximal, characteristic, complemented
23	#10615145	C₂	1	1	yes	maximal, characteristic, complemented
24	#10615144	C₂	1	1	yes	maximal, characteristic, complemented
25	#10615141	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	#10614661	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614650	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614286	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614283	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
33	C₂³×C₅×Q₈	C₂²	1	1	yes	characteristic
34	C₅×D₄×Q₈	—	2	1	no	—
35	C₅×D₄×Q₈	—	2	1	no	—
36	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
37	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
38	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
39	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
40	C₅×#548	—	2	1	no	—
41	C₅×#548	—	2	1	no	—
42	C₅×#548	C₂²	1	1	yes	characteristic
43	C₅×#548	C₂²	1	1	yes	characteristic
44	C₅×#548	C₂²	1	1	yes	characteristic
45	C₅×#548	C₂²	1	1	yes	characteristic
46	C₅×#536	—	2	1	no	—
47	C₅×#536	—	2	1	no	—
48	C₅×#536	C₂²	1	1	yes	characteristic
49	C₅×#536	C₂²	1	1	yes	characteristic
50	C₅×#525	—	2	1	no	—
51	C₅×#525	—	2	1	no	—
52	C₅×#525	C₂²	1	1	yes	characteristic
53	C₅×#525	C₂²	1	1	yes	characteristic
54	C₅×#519	C₂²	1	1	yes	characteristic
55	#66167	C₂²	1	1	yes	characteristic
56	#66159	C₂²	1	1	yes	characteristic
57	C₂×#4097	C₂²	1	1	yes	characteristic, complemented
58	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
59	C₂²×#689	C₂²	1	1	yes	characteristic
60	C₂²×#689	C₂²	1	1	yes	characteristic
61	C₂²×#689	C₂²	1	1	yes	characteristic, complemented
62	C₂×#4088	C₂²	1	1	yes	characteristic
63	C₂×#4088	C₂²	1	1	yes	characteristic
64	C₂×#4088	C₂²	1	1	yes	characteristic, complemented
65	#66125	C₂²	1	1	yes	characteristic
66	C₂×#4070	C₂²	1	1	yes	characteristic
67	#65996	—	2	1	no	—
68	#65994	—	2	1	no	—
69	#65980	—	2	1	no	—
70	#65970	—	2	1	no	—
71	#65955	—	2	1	no	—
72	#65935	—	2	1	no	—
73	#65927	—	2	1	no	—
74	#65927	—	2	1	no	—
75	#65899	C₂²	1	1	yes	characteristic
76	#65886	C₂²	1	1	yes	characteristic
77	#65886	C₂²	1	1	yes	characteristic
78	#65885	C₂²	1	1	yes	characteristic
79	#65877	C₂²	1	1	yes	characteristic
80	#65876	C₂²	1	1	yes	characteristic
81	#65875	C₂²	1	1	yes	characteristic
82	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
83	#65868	C₂²	1	1	yes	characteristic
84	#65852	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
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
92	#65527	C₂²	1	1	yes	characteristic, complemented
93	#65523	C₂²	1	1	yes	characteristic
94	#65523	C₂²	1	1	yes	characteristic
95	#65522	C₂²	1	1	yes	characteristic, complemented
96	#65521	C₂²	1	1	yes	characteristic, complemented
97	#65517	C₂²	1	1	yes	characteristic
98	#65517	C₂²	1	1	yes	characteristic
99	#65517	C₂²	1	1	yes	characteristic
100	#65517	C₂²	1	1	yes	characteristic
101	#65517	C₂²	1	1	yes	characteristic
102	#65517	C₂²	1	1	yes	characteristic
103	#65517	C₂²	1	1	yes	characteristic
104	#65517	C₂²	1	1	yes	characteristic
105	#65517	C₂²	1	1	yes	characteristic
106	#65517	C₂²	1	1	yes	characteristic
107	#65517	C₂²	1	1	yes	characteristic
108	#65517	C₂²	1	1	yes	characteristic
109	#65517	C₂²	1	1	yes	characteristic, complemented
110	#65517	C₂²	1	1	yes	characteristic, complemented
111	#65517	C₂²	1	1	yes	characteristic, complemented
112	#65516	C₂²	1	1	yes	characteristic
113	#65516	C₂²	1	1	yes	characteristic
114	#65516	C₂²	1	1	yes	characteristic
115	#65516	C₂²	1	1	yes	characteristic
116	#65516	C₂²	1	1	yes	characteristic, complemented
117	#65514	C₂²	1	1	yes	characteristic
118	#65514	C₂²	1	1	yes	characteristic
119	#65514	C₂²	1	1	yes	characteristic, complemented
120	C₂×#3967	C₂²	1	1	yes	characteristic
121	C₂×#3967	C₂²	1	1	yes	characteristic
122	C₂×#3967	C₂²	1	1	yes	characteristic, complemented
123	#65496	C₂²	1	1	yes	characteristic
124	C₂×C₂²⋊#168	C₂²	1	1	yes	characteristic
125	#65381	C₂²	1	1	yes	characteristic, complemented
126	#65379	C₂²	1	1	yes	characteristic, complemented
127	#65379	C₂²	1	1	yes	characteristic, complemented
128	#65379	C₂²	1	1	yes	characteristic, complemented
129	#65375	C₂²	1	1	yes	characteristic, complemented
130	#65372	C₂²	1	1	yes	characteristic, complemented
131	#65371	C₂²	1	1	yes	characteristic, complemented
132	#65370	C₂²	1	1	yes	characteristic, complemented
133	#65349	C₂²	1	1	yes	characteristic, complemented
134	#65348	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65345	C₂²	1	1	yes	characteristic, complemented
137	#65344	C₂²	1	1	yes	characteristic, complemented
138	#65343	C₂²	1	1	yes	characteristic, complemented
139	#65343	C₂²	1	1	yes	characteristic, complemented
140	#65343	C₂²	1	1	yes	characteristic, complemented
141	#65341	C₂²	1	1	yes	characteristic
142	#65341	C₂²	1	1	yes	characteristic
143	#65341	C₂²	1	1	yes	characteristic, complemented
144	#65341	C₂²	1	1	yes	characteristic, complemented
145	#65341	C₂²	1	1	yes	characteristic, complemented
146	#65340	C₂²	1	1	yes	characteristic
147	#65340	C₂²	1	1	yes	characteristic, complemented
148	#65340	C₂²	1	1	yes	characteristic, complemented
149	#65340	C₂²	1	1	yes	characteristic, complemented
150	#65339	C₂²	1	1	yes	characteristic
151	#65339	C₂²	1	1	yes	characteristic, complemented
152	#65339	C₂²	1	1	yes	characteristic, complemented
153	#65338	C₂²	1	1	yes	characteristic, complemented
154	#65337	C₂²	1	1	yes	characteristic
155	#65337	C₂²	1	1	yes	characteristic, complemented
156	#65336	C₂²	1	1	yes	characteristic
157	#65336	C₂²	1	1	yes	characteristic, complemented
158	#65336	C₂²	1	1	yes	characteristic, complemented
159	#65334	C₂²	1	1	yes	characteristic
160	#65334	C₂²	1	1	yes	characteristic, complemented
161	#65334	C₂²	1	1	yes	characteristic, complemented
162	#65333	C₂²	1	1	yes	characteristic
163	#65333	C₂²	1	1	yes	characteristic, complemented
164	#65332	C₂²	1	1	yes	characteristic, complemented
165	#65331	C₂²	1	1	yes	characteristic
166	#65331	C₂²	1	1	yes	characteristic
167	#65330	C₂²	1	1	yes	characteristic
168	#65329	C₂²	1	1	yes	characteristic
169	#65327	C₂²	1	1	yes	characteristic
170	#65326	C₂²	1	1	yes	characteristic
171	#65324	C₂²	1	1	yes	characteristic
172	#65323	C₂²	1	1	yes	characteristic
173	#65320	C₂²	1	1	yes	characteristic, complemented
174	#65320	C₂²	1	1	yes	characteristic, complemented
175	#65319	C₂²	1	1	yes	characteristic, complemented
176	#65319	C₂²	1	1	yes	characteristic, complemented
177	#65319	C₂²	1	1	yes	characteristic, complemented
178	C₄×#689	C₂²	1	1	yes	characteristic, complemented
179	C₄×#689	C₂²	1	1	yes	characteristic, complemented
180	C₄×#689	C₂²	1	1	yes	characteristic, complemented
181	#65317	C₂²	1	1	yes	characteristic, complemented
182	#65317	C₂²	1	1	yes	characteristic, complemented
183	#65315	C₂²	1	1	yes	characteristic, complemented
184	C₄×#688	C₂²	1	1	yes	characteristic, complemented
185	#65311	C₂²	1	1	yes	characteristic, complemented
186	#65311	C₂²	1	1	yes	characteristic, complemented
187	#65310	C₂²	1	1	yes	characteristic, complemented
188	#65309	C₂²	1	1	yes	characteristic, complemented
189	#65301	C₂²	1	1	yes	characteristic
190	#65301	C₂²	1	1	yes	characteristic
191	#65300	C₂²	1	1	yes	characteristic
192	#65300	C₂²	1	1	yes	characteristic
193	#65300	C₂²	1	1	yes	characteristic
194	#65300	C₂²	1	1	yes	characteristic
195	D₄×#168	C₂²	1	1	yes	characteristic
196	D₄×#168	C₂²	1	1	yes	characteristic
197	#65292	C₂²	1	1	yes	characteristic
198	#65289	C₂²	1	1	yes	characteristic
199	#65289	C₂²	1	1	yes	characteristic
200	#65285	C₂²	1	1	yes	characteristic
201	#65285	C₂²	1	1	yes	characteristic
202	#65285	C₂²	1	1	yes	characteristic
203	#61612	—	5	1	no	maximal, Sylow
204	C₅×2₋¹⁺⁴	—	4	2	no	—
205	C₅×2₋¹⁺⁴	—	4	2	no	—
206	C₂×C₅×#41	—	2	1	no	—
207	C₂×C₅×#41	—	2	1	no	—
208	C₂×C₅×#41	—	2	1	no	—
209	C₂×C₅×#41	C₂³	1	1	yes	characteristic
210	C₂×C₅×#41	C₂³	1	1	yes	characteristic
211	C₂×C₅×#41	C₂³	1	1	yes	characteristic
212	C₂×C₅×#41	C₂³	1	1	yes	characteristic
213	C₂²×C₅×Q₈	—	2	1	no	—
214	C₂²×C₅×Q₈	—	2	1	no	—
215	C₂²×C₅×Q₈	—	2	1	no	—
216	C₂²×C₅×Q₈	—	2	1	no	—
217	C₂²×C₅×Q₈	—	4	2	no	—
218	C₂²×C₅×Q₈	—	4	2	no	—
219	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
220	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
221	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
222	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
223	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
224	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₅	—	2	1	no	—
228	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	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	—	2	1	no	—
236	C₅×C₄⋊Q₈	—	2	1	no	—
237	C₅×C₄⋊Q₈	—	2	1	no	—
238	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
239	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₅×#124	—	2	1	no	—
241	C₅×#124	—	2	1	no	—
242	C₅×#124	—	2	1	no	—
243	C₅×#124	—	2	1	no	—
244	C₅×#124	—	2	1	no	—
245	C₅×#124	C₂³	1	1	yes	characteristic
246	C₅×#124	C₂³	1	1	yes	characteristic
247	C₅×#123	—	2	1	no	—
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×#123	D₄	1	1	yes	characteristic
253	C₅×#123	D₄	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	—	2	1	no	—
256	C₅×C₂²⋊Q₈	—	2	1	no	—
257	C₅×C₂²⋊Q₈	—	2	1	no	—
258	C₅×C₂²⋊Q₈	—	2	1	no	—
259	C₅×C₂²⋊Q₈	—	2	1	no	—
260	C₅×C₂²⋊Q₈	—	2	1	no	—
261	C₅×C₂²⋊Q₈	—	2	1	no	—
262	C₅×C₂²⋊Q₈	—	2	1	no	—
263	C₅×C₂²⋊Q₈	—	2	1	no	—
264	C₅×C₂²⋊Q₈	—	2	1	no	—
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	D₄	1	1	yes	characteristic
269	C₅×C₂²⋊Q₈	D₄	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×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
274	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
275	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
281	C₅×#121	D₄	1	1	yes	characteristic
282	C₅×#121	C₂³	1	1	yes	characteristic
283	C₅×#121	C₂³	1	1	yes	characteristic
284	C₅×#120	—	2	1	no	—
285	C₅×#120	D₄	1	1	yes	characteristic
286	C₅×#120	D₄	1	1	yes	characteristic
287	C₄×C₅×Q₈	—	2	1	no	—
288	C₄×C₅×Q₈	—	2	1	no	—
289	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
290	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
291	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
292	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
293	C₄×C₅×D₄	—	2	1	no	—
294	C₄×C₅×D₄	—	2	1	no	—
295	C₄×C₅×D₄	—	2	1	no	—
296	C₄×C₅×D₄	—	2	1	no	—
297	C₄×C₅×D₄	—	2	1	no	—
298	C₄×C₅×D₄	—	2	1	no	—
299	C₄×C₅×D₄	—	2	1	no	—
300	C₄×C₅×D₄	—	2	1	no	—
301	C₄×C₅×D₄	—	2	1	no	—
302	C₄×C₅×D₄	—	2	1	no	—
303	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
304	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
305	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
306	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
307	C₅×#117	—	2	1	no	—
308	C₅×#117	—	2	1	no	—
309	C₅×#117	C₂³	1	1	yes	characteristic
310	C₅×#117	C₂³	1	1	yes	characteristic
311	#4099	—	2	1	no	—
312	C₂×C₂²⋊Dic₅	—	2	1	no	—
313	#4097	—	4	2	no	—
314	#4096	—	4	2	no	—
315	#4092	—	2	1	no	—
316	#4090	—	2	1	no	—
317	C₂×#689	—	4	2	no	—
318	C₂×#689	—	4	2	no	—
319	C₂×#689	—	4	2	no	—
320	C₂×#689	C₂³	1	1	yes	characteristic
321	C₂×#689	C₂³	1	1	yes	characteristic
322	C₂×#689	C₂³	1	1	yes	characteristic
323	C₂×#689	C₂³	1	1	yes	characteristic
324	C₂×#689	C₂³	1	1	yes	characteristic
325	C₂×#689	C₂³	1	1	yes	characteristic
326	C₂×#689	C₂³	1	1	yes	characteristic
327	C₂×#689	C₂³	1	1	yes	characteristic
328	C₂×#689	C₂³	1	1	yes	characteristic
329	C₂×#689	C₂³	1	1	yes	characteristic
330	C₂×#689	C₂³	1	1	yes	characteristic
331	C₂×#689	C₂³	1	1	yes	characteristic
332	C₂×#689	C₂³	1	1	yes	characteristic
333	C₂×#689	C₂³	1	1	yes	characteristic
334	C₂×#689	C₂³	1	1	yes	characteristic
335	#4088	—	4	2	no	—
336	#4088	—	4	2	no	—
337	#4088	—	4	2	no	—
338	C₂×#688	C₂³	1	1	yes	characteristic
339	C₂×#688	C₂³	1	1	yes	characteristic
340	C₂×#688	C₂³	1	1	yes	characteristic
341	C₂×#688	C₂³	1	1	yes	characteristic
342	C₂×#688	C₂³	1	1	yes	characteristic
343	#4085	—	2	1	no	—
344	#4085	—	2	1	no	—
345	#4085	—	2	1	no	—
346	#4085	—	2	1	no	—
347	#4085	—	2	1	no	—
348	#4084	—	2	1	no	—
349	#4084	—	2	1	no	—
350	#4082	—	2	1	no	—
351	#4082	—	2	1	no	—
352	#4081	—	2	1	no	—
353	#4081	—	2	1	no	—
354	#4081	—	2	1	no	—
355	D₄×Dic₅	—	2	1	no	—
356	D₄×Dic₅	—	2	1	no	—
357	C₂×#687	C₂³	1	1	yes	characteristic
358	C₂×#687	C₂³	1	1	yes	characteristic
359	C₂×#687	C₂³	1	1	yes	characteristic
360	C₂×#686	C₂³	1	1	yes	characteristic
361	#4076	C₂³	1	1	yes	characteristic
362	#4076	C₂³	1	1	yes	characteristic
363	#4076	C₂³	1	1	yes	characteristic
364	#4075	—	2	1	no	—
365	C₄×C₂²⋊D₅	—	2	1	no	—
366	C₄×C₂²⋊D₅	—	2	1	no	—
367	#4072	C₂³	1	1	yes	characteristic
368	#4072	C₂³	1	1	yes	characteristic
369	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
370	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
371	#4070	—	2	1	no	—
372	#4070	—	2	1	no	—
373	#4070	C₂³	1	1	yes	characteristic
374	#4070	C₂³	1	1	yes	characteristic
375	#4070	C₂³	1	1	yes	characteristic
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	#4044	—	2	1	no	—
392	#4044	—	2	1	no	—
393	#4042	—	2	1	no	—
394	#4042	—	2	1	no	—
395	#4042	—	2	1	no	—
396	D₅×C₄⋊C₄	—	2	1	no	—
397	#4036	—	2	1	no	—
398	#4035	—	2	1	no	—
399	#4035	—	2	1	no	—
400	#4035	—	2	1	no	—
401	#4034	—	2	1	no	—
402	#4033	—	2	1	no	—
403	#4031	—	2	1	no	—
404	#4031	—	2	1	no	—
405	#4031	—	2	1	no	—
406	#4029	—	2	1	no	—
407	#4029	—	2	1	no	—
408	#4029	—	2	1	no	—
409	#4029	—	2	1	no	—
410	#4027	—	2	1	no	—
411	#4027	—	2	1	no	—
412	#4027	—	2	1	no	—
413	#4025	—	2	1	no	—
414	#4025	—	2	1	no	—
415	#4025	—	2	1	no	—
416	#4025	—	2	1	no	—
417	#4025	—	2	1	no	—
418	#4024	—	2	1	no	—
419	#4024	—	2	1	no	—
420	#4024	—	2	1	no	—
421	#4024	—	2	1	no	—
422	#4023	—	2	1	no	—
423	#4021	C₂³	1	1	yes	characteristic
424	C₄×D₂₀	C₂³	1	1	yes	characteristic
425	#4016	C₂³	1	1	yes	characteristic
426	#4015	C₂³	1	1	yes	characteristic
427	#4015	C₂³	1	1	yes	characteristic
428	C₄×Dic₁₀	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	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3967	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3967	C₂³	1	1	yes	characteristic
447	#3967	C₂³	1	1	yes	characteristic
448	#3967	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	C₂²⋊#168	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	C₂²⋊#168	C₂³	1	1	yes	characteristic
460	C₂²⋊#168	C₂³	1	1	yes	characteristic
461	C₂²⋊#168	C₂³	1	1	yes	characteristic
462	C₂²⋊#168	C₂³	1	1	yes	characteristic
463	C₂²⋊#168	C₂³	1	1	yes	characteristic
464	C₂²⋊#168	C₂³	1	1	yes	characteristic
465	C₂²⋊#168	C₂³	1	1	yes	characteristic
466	C₂²⋊#168	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	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	#3541	—	5	1	no	—
492	#3486	D₅	1	1	yes	characteristic, complemented
493	#3328	—	5	1	no	—
494	#3327	—	5	1	no	—
495	#3320	—	5	1	no	—
496	#3316	—	5	1	no	—
497	#3313	—	5	1	no	—
498	#3312	—	5	1	no	—
499	#3301	—	5	1	no	—
500	#3299	—	5	1	no	—
501	D₄×Q₁₆	—	5	1	no	—
502	#3285	—	5	1	no	—
503	#3277	—	5	1	no	—
504	#3276	—	5	1	no	—
505	#3270	—	5	1	no	—
506	#3270	—	5	1	no	—
507	#3270	—	5	1	no	—
508	#3269	—	5	1	no	—
509	#3225	—	5	1	no	—
510	#3223	—	5	1	no	—
511	#3202	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3196	—	5	1	no	—
514	#3191	—	5	1	no	—
515	#3127	—	5	1	no	—
516	#3121	—	5	1	no	—
517	#3013	—	5	1	no	—
518	#3011	—	5	1	no	—
519	#3004	—	5	1	no	—
520	C₂×#451	—	5	1	no	—
521	#2976	—	5	1	no	—
522	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
523	C₅×#41	—	2	2	no	—
524	C₅×#41	—	2	2	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	4	no	—
532	C₅×#41	—	4	4	no	—
533	C₅×#41	—	4	4	no	—
534	C₂×C₅×Q₈	—	2	2	no	—
535	C₂×C₅×Q₈	—	2	2	no	—
536	C₂×C₅×Q₈	—	2	1	no	—
537	C₂×C₅×Q₈	—	2	1	no	—
538	C₂×C₅×Q₈	—	2	1	no	—
539	C₂×C₅×Q₈	—	2	1	no	—
540	C₂×C₅×Q₈	—	2	1	no	—
541	C₂×C₅×Q₈	—	2	1	no	—
542	C₂×C₅×Q₈	—	2	1	no	—
543	C₂×C₅×Q₈	—	2	1	no	—
544	C₂×C₅×Q₈	—	2	2	no	—
545	C₂×C₅×Q₈	—	2	2	no	—
546	C₂×C₅×Q₈	—	2	2	no	—
547	C₂×C₅×Q₈	—	2	2	no	—
548	C₂×C₅×Q₈	—	2	2	no	—
549	C₂×C₅×Q₈	—	2	2	no	—
550	C₂×C₅×Q₈	—	4	1	no	—
551	C₂×C₅×Q₈	—	4	1	no	—
552	C₂×C₅×Q₈	—	4	1	no	—
553	C₂×C₅×Q₈	—	4	1	no	—
554	C₂×C₅×Q₈	—	4	1	no	—
555	C₂×C₅×Q₈	—	4	1	no	—
556	C₂×C₅×Q₈	—	4	1	no	—
557	C₂×C₅×Q₈	—	4	1	no	—
558	C₂×C₅×Q₈	—	4	4	no	—
559	C₂×C₅×Q₈	—	4	4	no	—
560	C₂×C₅×Q₈	—	4	4	no	—
561	C₂×C₅×Q₈	—	4	4	no	—
562	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
563	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
567	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₅×D₄	—	2	1	no	—
569	C₂×C₅×D₄	—	2	1	no	—
570	C₂×C₅×D₄	—	2	1	no	—
571	C₂×C₅×D₄	—	2	1	no	—
572	C₂×C₅×D₄	—	2	1	no	—
573	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
574	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
575	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
576	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
577	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
578	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
579	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
580	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₅	—	2	1	no	—
582	C₂²×C₄×C₅	—	2	1	no	—
583	C₂²×C₄×C₅	—	2	1	no	—
584	C₂²×C₄×C₅	—	2	1	no	—
585	C₂²×C₄×C₅	—	2	1	no	—
586	C₂²×C₄×C₅	—	2	1	no	—
587	C₂²×C₄×C₅	—	2	1	no	—
588	C₂²×C₄×C₅	—	2	1	no	—
589	C₂²×C₄×C₅	—	2	1	no	—
590	C₂²×C₄×C₅	—	2	1	no	—
591	C₂²×C₄×C₅	—	2	1	no	—
592	C₂²×C₄×C₅	—	4	1	no	—
593	C₂²×C₄×C₅	—	4	1	no	—
594	C₂²×C₄×C₅	—	4	4	no	—
595	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
596	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
597	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
598	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
599	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
600	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
601	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
602	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
603	C₂×C₂²⋊D₅	—	2	1	no	—
604	C₂×C₂²⋊D₅	—	2	1	no	—
605	C₂×C₂²⋊D₅	—	2	1	no	—
606	C₂×C₂²⋊D₅	—	2	1	no	—
607	C₂×C₂²⋊D₅	—	2	1	no	—
608	C₂²×Dic₅	—	2	1	no	—
609	C₂²×Dic₅	—	2	1	no	—
610	C₂²×Dic₅	—	2	1	no	—
611	C₂²×Dic₅	—	2	1	no	—
612	#709	—	4	1	no	—
613	#709	—	4	1	no	—
614	#709	—	4	1	no	—
615	#709	—	4	1	no	—
616	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×Dic₁₀	—	2	1	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	4	1	no	—
624	C₂×Dic₁₀	—	4	1	no	—
625	C₂×Dic₁₀	—	4	1	no	—
626	C₂×Dic₁₀	—	4	1	no	—
627	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
628	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
629	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
630	C₅×C₄⋊C₄	—	2	1	no	—
631	C₅×C₄⋊C₄	—	2	1	no	—
632	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
645	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
648	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
649	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
650	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₅×C₂²⋊C₄	—	2	1	no	—
653	C₅×C₂²⋊C₄	—	2	1	no	—
654	C₅×C₂²⋊C₄	—	2	1	no	—
655	C₅×C₂²⋊C₄	—	2	1	no	—
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
666	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
670	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
671	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
672	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
673	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
674	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
675	C₄²×C₅	—	2	1	no	—
676	C₄²×C₅	—	2	1	no	—
677	C₄²×C₅	—	2	1	no	—
678	C₄²×C₅	—	2	1	no	—
679	C₄²×C₅	—	2	1	no	—
680	C₄²×C₅	C₂⁴	1	1	yes	characteristic
681	C₄²×C₅	C₂⁴	1	1	yes	characteristic
682	C₂²⋊Dic₅	—	2	1	no	—
683	C₂²⋊Dic₅	—	2	1	no	—
684	C₂²⋊Dic₅	—	2	1	no	—
685	C₂²⋊Dic₅	—	2	1	no	—
686	C₂²⋊Dic₅	—	2	1	no	—
687	C₂²⋊Dic₅	—	2	1	no	—
688	C₂²⋊Dic₅	—	2	1	no	—
689	C₂²⋊Dic₅	—	2	1	no	—
690	C₂²⋊Dic₅	—	2	1	no	—
691	C₂²⋊Dic₅	—	2	1	no	—
692	C₂²⋊Dic₅	—	2	1	no	—
693	#689	—	2	2	no	—
694	#689	—	2	2	no	—
695	#689	—	2	2	no	—
696	#689	—	2	2	no	—
697	#689	—	2	2	no	—
698	#689	—	2	2	no	—
699	#689	—	4	1	no	—
700	#689	—	4	1	no	—
701	#689	—	4	1	no	—
702	#689	—	4	1	no	—
703	#689	—	4	1	no	—
704	#689	—	4	1	no	—
705	#689	—	4	1	no	—
706	#689	—	4	1	no	—
707	#689	—	4	1	no	—
708	#688	—	2	2	no	—
709	#688	—	2	2	no	—
710	#688	—	4	1	no	—
711	#688	—	4	1	no	—
712	#688	—	4	1	no	—
713	#687	—	4	1	no	—
714	#687	—	4	1	no	—
715	#687	—	4	1	no	—
716	#686	—	4	1	no	—
717	#685	—	2	1	no	—
718	#685	—	2	1	no	—
719	#685	—	2	1	no	—
720	#685	—	2	1	no	—
721	#685	—	2	1	no	—
722	#685	—	2	1	no	—
723	C₄⋊Dic₅	—	2	1	no	—
724	C₄⋊Dic₅	—	2	1	no	—
725	C₄⋊Dic₅	—	2	1	no	—
726	C₄⋊Dic₅	—	2	1	no	—
727	C₄⋊Dic₅	—	2	1	no	—
728	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
729	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
730	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
731	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
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	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	—	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	C₂×D₅	1	1	yes	characteristic
768	C₂³×Q₈	C₂×D₅	1	1	yes	characteristic
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×#135	—	5	1	no	—
774	C₂²×Q₁₆	—	5	1	no	—
775	C₂²×Q₁₆	—	5	1	no	—
776	C₂²×Q₁₆	—	5	1	no	—
777	#563	—	10	1	no	—
778	#562	—	10	1	no	—
779	#556	—	5	1	no	—
780	#554	—	5	1	no	—
781	#554	—	10	1	no	—
782	#553	—	5	1	no	—
783	#553	—	10	1	no	—
784	#552	—	5	1	no	—
785	D₄×Q₈	—	2	1	no	—
786	D₄×Q₈	—	2	1	no	—
787	D₄×Q₈	—	5	1	no	—
788	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
789	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
790	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
791	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
792	#548	—	2	1	no	—
793	#548	—	2	1	no	—
794	#548	—	5	1	no	—
795	#548	—	5	1	no	—
796	#548	C₂×D₅	1	1	yes	characteristic
797	#548	C₂×D₅	1	1	yes	characteristic
798	#548	C₂×D₅	1	1	yes	characteristic
799	#548	C₂×D₅	1	1	yes	characteristic
800	#547	—	5	1	no	—
801	#542	—	5	1	no	—
802	#542	—	10	1	no	—
803	#541	—	5	1	no	—
804	#539	—	10	1	no	—
805	#538	—	10	1	no	—
806	#538	—	10	1	no	—
807	#537	—	5	1	no	—
808	#536	—	2	1	no	—
809	#536	—	2	1	no	—
810	#536	—	5	1	no	—
811	#536	C₂×D₅	1	1	yes	characteristic
812	#536	C₂×D₅	1	1	yes	characteristic
813	#525	—	2	1	no	—
814	#525	—	2	1	no	—
815	#525	—	5	1	no	—
816	#525	C₂×D₅	1	1	yes	characteristic
817	#525	C₂×D₅	1	1	yes	characteristic
818	C₂×C₂²⋊Q₈	—	5	1	no	—
819	#519	C₂×D₅	1	1	yes	characteristic
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	#485	—	5	1	no	—
832	#485	—	5	1	no	—
833	#485	—	5	1	no	—
834	#484	—	5	1	no	—
835	#484	—	5	1	no	—
836	#483	—	5	1	no	—
837	#482	—	5	1	no	—
838	#482	—	5	1	no	—
839	#481	—	5	1	no	—
840	#479	—	5	1	no	—
841	#479	—	5	1	no	—
842	#477	—	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	#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	#467	—	5	1	no	—
856	#466	—	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	#464	—	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	#462	—	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	#451	—	5	1	no	—
882	#451	—	5	1	no	—
883	#451	—	5	1	no	—
884	#451	—	5	1	no	—
885	#451	—	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	#451	—	5	1	no	—
898	#451	—	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	#448	—	5	1	no	—
908	#441	—	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×Q₁₆	—	5	1	no	—
914	C₄×Q₁₆	—	5	1	no	—
915	C₄×SD₁₆	—	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	#419	—	5	1	no	—
928	#419	—	5	1	no	—
929	#417	—	5	1	no	—
930	#416	—	5	1	no	—
931	C₂×#103	—	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	2	no	—
939	C₂³×C₅	—	2	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	C₅×Q₈	—	2	4	no	—
949	C₅×Q₈	—	2	1	no	—
950	C₅×Q₈	—	2	1	no	—
951	C₅×Q₈	—	2	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	—	4	1	no	—
958	C₅×Q₈	—	4	2	no	—
959	C₅×Q₈	—	4	2	no	—
960	C₅×Q₈	—	4	2	no	—
961	C₅×Q₈	—	4	2	no	—
962	C₅×Q₈	—	4	2	no	—
963	C₅×Q₈	—	4	2	no	—
964	C₅×Q₈	—	4	2	no	—
965	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
966	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
967	C₅×D₄	—	2	2	no	—
968	C₅×D₄	—	2	2	no	—
969	C₅×D₄	—	2	1	no	—
970	C₅×D₄	—	2	1	no	—
971	C₅×D₄	—	4	1	no	—
972	C₅×D₄	—	4	1	no	—
973	C₅×D₄	—	4	1	no	—
974	C₅×D₄	—	4	1	no	—
975	C₅×D₄	—	4	1	no	—
976	C₅×D₄	—	4	2	no	—
977	C₅×D₄	—	4	2	no	—
978	C₅×D₄	—	4	2	no	—
979	C₅×D₄	—	4	2	no	—
980	C₅×D₄	—	4	2	no	—
981	C₂×C₄×C₅	—	2	4	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	—	2	1	no	—
998	C₂×C₄×C₅	—	2	1	no	—
999	C₂×C₄×C₅	—	4	1	no	—
1000	C₂×C₄×C₅	—	4	1	no	—
1001	C₂×C₄×C₅	—	4	1	no	—
1002	C₂×C₄×C₅	—	4	2	no	—
1003	C₂×C₄×C₅	—	4	2	no	—
1004	C₂×C₄×C₅	—	4	2	no	—
1005	C₂×C₄×C₅	—	4	2	no	—
1006	C₂×C₄×C₅	—	4	2	no	—
1007	C₂×C₄×C₅	—	4	2	no	—
1008	C₂×C₄×C₅	—	4	2	no	—
1009	C₂×C₄×C₅	—	4	2	no	—
1010	C₂×C₄×C₅	—	4	2	no	—
1011	C₂×C₄×C₅	—	4	2	no	—
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	C₂²×D₄	1	1	yes	characteristic
1018	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1022	C₂²⋊D₅	—	4	2	no	—
1023	C₂²⋊D₅	—	8	1	no	—
1024	C₂²⋊D₅	—	8	1	no	—
1025	C₂²⋊D₅	—	8	1	no	—
1026	C₂²⋊D₅	—	8	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	—	2	1	no	—
1033	C₂×Dic₅	—	2	1	no	—
1034	C₂×Dic₅	—	8	1	no	—
1035	C₂×Dic₅	—	8	1	no	—
1036	C₂×Dic₅	—	8	1	no	—
1037	C₂×Dic₅	—	8	1	no	—
1038	D₂₀	—	2	1	no	—
1039	D₂₀	—	2	1	no	—
1040	C₄×D₅	—	8	1	no	—
1041	C₄×D₅	—	8	1	no	—
1042	C₄×D₅	—	8	1	no	—
1043	Dic₁₀	—	2	1	no	—
1044	Dic₁₀	—	2	1	no	—
1045	Dic₁₀	—	2	1	no	—
1046	Dic₁₀	—	2	1	no	—
1047	Dic₁₀	—	2	1	no	—
1048	Dic₁₀	—	2	1	no	—
1049	Dic₁₀	—	8	1	no	—
1050	Dic₁₀	—	8	1	no	—
1051	Dic₁₀	—	8	1	no	—
1052	#168	—	2	1	no	—
1053	#168	—	2	1	no	—
1054	#168	—	2	1	no	—
1055	#168	—	2	1	no	—
1056	#168	—	2	1	no	—
1057	#168	—	2	1	no	—
1058	#168	—	2	1	no	—
1059	#168	—	2	1	no	—
1060	2₋¹⁺⁴	—	4	2	no	—
1061	2₋¹⁺⁴	—	4	2	no	—
1062	C₂×#41	—	2	1	no	—
1063	C₂×#41	—	2	1	no	—
1064	C₂×#41	—	2	1	no	—
1065	C₂×#41	—	5	1	no	—
1066	C₂×#41	—	5	1	no	—
1067	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1068	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1069	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1070	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1071	C₂²×Q₈	—	2	1	no	—
1072	C₂²×Q₈	—	2	1	no	—
1073	C₂²×Q₈	—	2	1	no	—
1074	C₂²×Q₈	—	2	1	no	—
1075	C₂²×Q₈	—	4	2	no	—
1076	C₂²×Q₈	—	4	2	no	—
1077	C₂²×Q₈	—	5	1	no	—
1078	C₂²×Q₈	—	5	1	no	—
1079	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1080	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1081	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1082	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1083	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1084	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1085	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1086	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1087	C₂³×C₄	—	2	1	no	—
1088	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1089	#137	—	20	2	no	—
1090	#137	—	20	2	no	—
1091	#137	—	20	2	no	—
1092	#137	—	20	2	no	—
1093	#135	—	20	2	no	—
1094	C₂×Q₁₆	—	5	1	no	—
1095	C₂×Q₁₆	—	5	1	no	—
1096	C₂×Q₁₆	—	5	1	no	—
1097	C₂×Q₁₆	—	5	1	no	—
1098	C₂×Q₁₆	—	5	1	no	—
1099	C₂×Q₁₆	—	5	1	no	—
1100	C₂×Q₁₆	—	5	1	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	—	20	2	no	—
1110	C₂×Q₁₆	—	20	2	no	—
1111	C₂×Q₁₆	—	20	2	no	—
1112	C₂×SD₁₆	—	5	1	no	—
1113	C₂×SD₁₆	—	5	1	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×D₈	—	5	1	no	—
1121	C₂×M₁₆	—	5	1	no	—
1122	C₂×M₁₆	—	5	1	no	—
1123	C₂×M₁₆	—	5	1	no	—
1124	C₂×M₁₆	—	5	1	no	—
1125	C₂²×C₈	—	5	1	no	—
1126	C₂²×C₈	—	5	1	no	—
1127	C₂²×C₈	—	5	1	no	—
1128	C₂²×C₈	—	5	1	no	—
1129	C₄⋊Q₈	—	2	1	no	—
1130	C₄⋊Q₈	—	2	1	no	—
1131	C₄⋊Q₈	—	2	1	no	—
1132	C₄⋊Q₈	—	2	1	no	—
1133	C₄⋊Q₈	—	2	1	no	—
1134	C₄⋊Q₈	—	5	1	no	—
1135	C₄⋊Q₈	—	5	1	no	—
1136	C₄⋊Q₈	—	10	1	no	—
1137	C₄⋊Q₈	—	10	1	no	—
1138	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1140	#126	—	10	1	no	—
1141	#126	—	10	1	no	—
1142	#126	—	10	1	no	—
1143	#126	—	10	1	no	—
1144	#126	—	10	1	no	—
1145	#126	—	10	1	no	—
1146	#126	—	10	1	no	—
1147	#125	—	5	1	no	—
1148	#125	—	10	1	no	—
1149	#125	—	10	1	no	—
1150	#125	—	10	1	no	—
1151	#125	—	10	1	no	—
1152	#124	—	2	1	no	—
1153	#124	—	2	1	no	—
1154	#124	—	2	1	no	—
1155	#124	—	2	1	no	—
1156	#124	—	2	1	no	—
1157	#124	—	5	1	no	—
1158	#124	—	10	1	no	—
1159	#124	—	10	1	no	—
1160	#124	—	10	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#124	C₂²×D₅	1	1	yes	characteristic
1164	#124	C₂²×D₅	1	1	yes	characteristic
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	—	10	1	no	—
1171	#123	—	10	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	C₂²⋊D₅	1	1	yes	characteristic
1179	#123	C₂²⋊D₅	1	1	yes	characteristic
1180	C₂²⋊Q₈	—	2	1	no	—
1181	C₂²⋊Q₈	—	2	1	no	—
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	—	2	1	no	—
1193	C₂²⋊Q₈	—	2	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	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	5	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
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	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1221	#121	—	2	1	no	—
1222	#121	—	2	1	no	—
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	10	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	C₂²⋊D₅	1	1	yes	characteristic
1236	#121	C₂²⋊D₅	1	1	yes	characteristic
1237	#121	C₂²×D₅	1	1	yes	characteristic
1238	#121	C₂²×D₅	1	1	yes	characteristic
1239	#120	—	2	1	no	—
1240	#120	—	10	1	no	—
1241	#120	C₂²⋊D₅	1	1	yes	characteristic
1242	#120	C₂²⋊D₅	1	1	yes	characteristic
1243	C₄×Q₈	—	2	1	no	—
1244	C₄×Q₈	—	2	1	no	—
1245	C₄×Q₈	—	5	1	no	—
1246	C₄×Q₈	—	5	1	no	—
1247	C₄×Q₈	—	5	1	no	—
1248	C₄×Q₈	—	10	1	no	—
1249	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1250	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1251	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1252	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1253	C₄×D₄	—	2	1	no	—
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	—	2	1	no	—
1262	C₄×D₄	—	2	1	no	—
1263	C₄×D₄	—	5	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	—	10	1	no	—
1270	C₄×D₄	—	10	1	no	—
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	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1275	#117	—	2	1	no	—
1276	#117	—	2	1	no	—
1277	#117	—	5	1	no	—
1278	#117	—	5	1	no	—
1279	#117	—	10	1	no	—
1280	#117	C₂²×D₅	1	1	yes	characteristic
1281	#117	C₂²×D₅	1	1	yes	characteristic
1282	C₂×C₄⋊C₄	—	5	1	no	—
1283	C₂×C₄⋊C₄	—	5	1	no	—
1284	C₂×C₄⋊C₄	—	10	1	no	—
1285	C₂×C₄⋊C₄	—	10	1	no	—
1286	C₂×C₂²⋊C₄	—	10	1	no	—
1287	#107	—	5	1	no	—
1288	#107	—	5	1	no	—
1289	#107	—	5	1	no	—
1290	#107	—	5	1	no	—
1291	#106	—	5	1	no	—
1292	#106	—	5	1	no	—
1293	#106	—	5	1	no	—
1294	#106	—	5	1	no	—
1295	C₄⋊C₈	—	5	1	no	—
1296	C₄⋊C₈	—	5	1	no	—
1297	C₄⋊C₈	—	5	1	no	—
1298	C₄⋊C₈	—	5	1	no	—
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	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	#102	—	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	C₂²⋊C₈	—	5	1	no	—
1332	C₂²⋊C₈	—	5	1	no	—
1333	C₂²⋊C₈	—	5	1	no	—
1334	C₂²⋊C₈	—	5	1	no	—
1335	C₂²⋊C₈	—	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	#97	—	5	1	no	—
1344	#97	—	5	1	no	—
1345	C₄×C₈	—	5	1	no	—
1346	C₄×C₈	—	5	1	no	—
1347	C₂²×C₅	—	2	1	no	—
1348	C₂²×C₅	—	2	1	no	—
1349	C₂²×C₅	—	2	1	no	—
1350	C₂²×C₅	—	2	1	no	—
1351	C₂²×C₅	—	2	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	—	4	4	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	—	4	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	#578	1	2	yes	—
1366	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1367	C₂×D₅	—	4	1	no	—
1368	C₂×D₅	—	4	1	no	—
1369	C₂×D₅	—	4	1	no	—
1370	C₄×C₅	—	2	1	no	—
1371	C₄×C₅	—	2	1	no	—
1372	C₄×C₅	—	2	1	no	—
1373	C₄×C₅	—	2	1	no	—
1374	C₄×C₅	—	2	1	no	—
1375	C₄×C₅	—	2	1	no	—
1376	C₄×C₅	—	2	2	no	—
1377	C₄×C₅	—	2	2	no	—
1378	C₄×C₅	—	2	1	no	—
1379	C₄×C₅	—	2	1	no	—
1380	C₄×C₅	—	2	1	no	—
1381	C₄×C₅	—	4	1	no	—
1382	C₄×C₅	—	4	1	no	—
1383	C₄×C₅	—	4	1	no	—
1384	C₄×C₅	—	4	1	no	—
1385	C₄×C₅	—	4	1	no	—
1386	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1387	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1388	Dic₅	—	4	1	no	—
1389	Dic₅	—	4	1	no	—
1390	Dic₅	—	4	1	no	—
1391	Dic₅	—	4	1	no	—
1392	Dic₅	—	4	1	no	—
1393	Dic₅	—	4	1	no	—
1394	Dic₅	—	4	1	no	—
1395	C₂⁴	C₂×C₂²⋊D₅	1	1	yes	characteristic
1396	#41	—	2	2	no	—
1397	#41	—	2	2	no	—
1398	#41	—	4	1	no	—
1399	#41	—	4	1	no	—
1400	#41	—	4	1	no	—
1401	#41	—	4	1	no	—
1402	#41	—	4	1	no	—
1403	#41	—	4	1	no	—
1404	#41	—	4	4	no	—
1405	#41	—	4	4	no	—
1406	#41	—	4	4	no	—
1407	#41	—	20	1	no	—
1408	#41	—	20	1	no	—
1409	#41	—	20	1	no	—
1410	#41	—	20	1	no	—
1411	C₂×Q₈	—	2	2	no	—
1412	C₂×Q₈	—	2	2	no	—
1413	C₂×Q₈	—	2	1	no	—
1414	C₂×Q₈	—	2	1	no	—
1415	C₂×Q₈	—	2	1	no	—
1416	C₂×Q₈	—	2	1	no	—
1417	C₂×Q₈	—	2	1	no	—
1418	C₂×Q₈	—	2	1	no	—
1419	C₂×Q₈	—	2	1	no	—
1420	C₂×Q₈	—	2	1	no	—
1421	C₂×Q₈	—	2	2	no	—
1422	C₂×Q₈	—	2	2	no	—
1423	C₂×Q₈	—	2	2	no	—
1424	C₂×Q₈	—	2	2	no	—
1425	C₂×Q₈	—	2	2	no	—
1426	C₂×Q₈	—	2	2	no	—
1427	C₂×Q₈	—	4	1	no	—
1428	C₂×Q₈	—	4	1	no	—
1429	C₂×Q₈	—	4	1	no	—
1430	C₂×Q₈	—	4	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	—	4	4	no	—
1436	C₂×Q₈	—	4	4	no	—
1437	C₂×Q₈	—	4	4	no	—
1438	C₂×Q₈	—	4	4	no	—
1439	C₂×Q₈	—	5	1	no	—
1440	C₂×Q₈	—	5	1	no	—
1441	C₂×Q₈	—	5	1	no	—
1442	C₂×Q₈	—	10	1	no	—
1443	C₂×Q₈	—	10	1	no	—
1444	C₂×Q₈	—	10	1	no	—
1445	C₂×Q₈	—	20	1	no	—
1446	C₂×Q₈	—	20	1	no	—
1447	C₂×Q₈	—	20	1	no	—
1448	C₂×Q₈	—	20	1	no	—
1449	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1450	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1451	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1452	C₂×Q₈	C₂³×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×D₄	—	2	1	no	—
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	—	5	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	1	no	—
1464	C₂×D₄	—	10	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1467	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1468	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1469	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1470	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1471	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1472	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1473	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1474	C₂²×C₄	—	2	1	no	—
1475	C₂²×C₄	—	2	1	no	—
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	2	1	no	—
1483	C₂²×C₄	—	2	1	no	—
1484	C₂²×C₄	—	2	1	no	—
1485	C₂²×C₄	—	4	1	no	—
1486	C₂²×C₄	—	4	1	no	—
1487	C₂²×C₄	—	4	4	no	—
1488	C₂²×C₄	—	10	1	no	—
1489	C₂²×C₄	—	10	1	no	—
1490	C₂²×C₄	—	10	1	no	—
1491	C₂²×C₄	—	10	1	no	—
1492	C₂²×C₄	—	10	1	no	—
1493	C₂²×C₄	—	10	1	no	—
1494	C₂²×C₄	—	10	1	no	—
1495	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1496	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1497	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1498	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1499	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1500	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1501	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1502	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1503	Q₁₆	—	10	2	no	—
1504	Q₁₆	—	10	2	no	—
1505	Q₁₆	—	10	2	no	—
1506	Q₁₆	—	10	2	no	—
1507	Q₁₆	—	10	2	no	—
1508	Q₁₆	—	10	2	no	—
1509	Q₁₆	—	20	1	no	—
1510	Q₁₆	—	20	1	no	—
1511	Q₁₆	—	20	1	no	—
1512	Q₁₆	—	20	1	no	—
1513	Q₁₆	—	20	1	no	—
1514	Q₁₆	—	20	1	no	—
1515	Q₁₆	—	20	1	no	—
1516	Q₁₆	—	20	1	no	—
1517	Q₁₆	—	20	1	no	—
1518	SD₁₆	—	10	2	no	—
1519	SD₁₆	—	10	2	no	—
1520	SD₁₆	—	20	1	no	—
1521	SD₁₆	—	20	1	no	—
1522	SD₁₆	—	20	1	no	—
1523	SD₁₆	—	20	1	no	—
1524	SD₁₆	—	20	1	no	—
1525	SD₁₆	—	20	1	no	—
1526	D₈	—	20	1	no	—
1527	M₁₆	—	20	1	no	—
1528	M₁₆	—	20	1	no	—
1529	M₁₆	—	20	1	no	—
1530	M₁₆	—	20	1	no	—
1531	C₂×C₈	—	5	1	no	—
1532	C₂×C₈	—	5	1	no	—
1533	C₂×C₈	—	5	1	no	—
1534	C₂×C₈	—	5	1	no	—
1535	C₂×C₈	—	5	1	no	—
1536	C₂×C₈	—	5	1	no	—
1537	C₂×C₈	—	5	1	no	—
1538	C₂×C₈	—	5	1	no	—
1539	C₂×C₈	—	20	1	no	—
1540	C₂×C₈	—	20	1	no	—
1541	C₂×C₈	—	20	1	no	—
1542	C₂×C₈	—	20	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	5	1	no	—
1558	C₄⋊C₄	—	5	1	no	—
1559	C₄⋊C₄	—	5	1	no	—
1560	C₄⋊C₄	—	5	1	no	—
1561	C₄⋊C₄	—	10	1	no	—
1562	C₄⋊C₄	—	10	1	no	—
1563	C₄⋊C₄	—	10	1	no	—
1564	C₄⋊C₄	—	10	1	no	—
1565	C₄⋊C₄	—	10	1	no	—
1566	C₄⋊C₄	—	10	1	no	—
1567	C₄⋊C₄	—	10	1	no	—
1568	C₄⋊C₄	—	10	1	no	—
1569	C₄⋊C₄	—	10	1	no	—
1570	C₄⋊C₄	—	10	1	no	—
1571	C₄⋊C₄	—	10	1	no	—
1572	C₄⋊C₄	—	10	1	no	—
1573	C₄⋊C₄	—	10	1	no	—
1574	C₄⋊C₄	—	10	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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1581	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1582	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1583	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1584	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1585	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1586	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1587	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	10	1	no	—
1602	C₂²⋊C₄	—	10	1	no	—
1603	C₂²⋊C₄	—	10	1	no	—
1604	C₂²⋊C₄	—	10	1	no	—
1605	C₂²⋊C₄	—	10	1	no	—
1606	C₂²⋊C₄	—	10	1	no	—
1607	C₂²⋊C₄	—	10	1	no	—
1608	C₂²⋊C₄	—	10	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1625	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1626	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1627	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1628	C₄²	—	2	1	no	—
1629	C₄²	—	2	1	no	—
1630	C₄²	—	2	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	10	1	no	—
1634	C₄²	—	10	1	no	—
1635	C₄²	—	10	1	no	—
1636	C₄²	—	10	1	no	—
1637	C₄²	—	10	1	no	—
1638	C₄²	C₂³×D₅	1	1	yes	characteristic
1639	C₄²	C₂³×D₅	1	1	yes	characteristic
1640	C₂×C₅	—	2	2	no	—
1641	C₂×C₅	—	4	1	no	—
1642	C₂×C₅	—	4	1	no	—
1643	C₂×C₅	—	4	1	no	—
1644	C₂×C₅	—	4	1	no	—
1645	C₂×C₅	—	8	1	no	—
1646	C₂×C₅	#3484	1	1	yes	characteristic
1647	C₂×C₅	C₂×#578	1	1	yes	characteristic
1648	C₂×C₅	#3586	1	1	yes	characteristic
1649	D₅	—	8	1	no	—
1650	C₂³	—	2	2	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	4	1	no	—
1653	C₂³	—	4	1	no	—
1654	C₂³	—	10	1	no	—
1655	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1656	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1657	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1658	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1659	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1660	Q₈	—	2	4	no	—
1661	Q₈	—	2	1	no	—
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	4	1	no	—
1670	Q₈	—	4	2	no	—
1671	Q₈	—	4	2	no	—
1672	Q₈	—	4	2	no	—
1673	Q₈	—	4	2	no	—
1674	Q₈	—	4	2	no	—
1675	Q₈	—	4	2	no	—
1676	Q₈	—	4	2	no	—
1677	Q₈	—	10	1	no	—
1678	Q₈	—	10	1	no	—
1679	Q₈	—	10	1	no	—
1680	Q₈	—	10	1	no	—
1681	Q₈	—	10	1	no	—
1682	Q₈	—	10	1	no	—
1683	Q₈	—	40	1	no	—
1684	Q₈	—	40	1	no	—
1685	Q₈	—	40	1	no	—
1686	Q₈	#4144	1	2	yes	—
1687	Q₈	#4144	1	2	yes	—
1688	D₄	—	2	2	no	—
1689	D₄	—	2	2	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	4	1	no	—
1693	D₄	—	4	1	no	—
1694	D₄	—	4	1	no	—
1695	D₄	—	4	1	no	—
1696	D₄	—	4	1	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	4	2	no	—
1700	D₄	—	4	2	no	—
1701	D₄	—	4	2	no	—
1702	D₄	—	10	1	no	—
1703	D₄	—	10	1	no	—
1704	D₄	—	20	2	no	—
1705	D₄	—	40	1	no	—
1706	D₄	—	40	1	no	—
1707	D₄	—	40	1	no	—
1708	D₄	—	40	1	no	—
1709	C₂×C₄	—	2	4	no	—
1710	C₂×C₄	—	2	1	no	—
1711	C₂×C₄	—	2	1	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	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	—	4	1	no	—
1728	C₂×C₄	—	4	1	no	—
1729	C₂×C₄	—	4	1	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	4	2	no	—
1734	C₂×C₄	—	4	2	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	10	1	no	—
1741	C₂×C₄	—	10	1	no	—
1742	C₂×C₄	—	10	1	no	—
1743	C₂×C₄	—	10	1	no	—
1744	C₂×C₄	—	10	1	no	—
1745	C₂×C₄	—	10	1	no	—
1746	C₂×C₄	—	10	1	no	—
1747	C₂×C₄	—	40	1	no	—
1748	C₂×C₄	—	40	1	no	—
1749	C₂×C₄	—	40	1	no	—
1750	C₂×C₄	—	40	1	no	—
1751	C₂×C₄	—	40	1	no	—
1752	C₂×C₄	—	40	1	no	—
1753	C₂×C₄	—	40	1	no	—
1754	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1755	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1756	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1757	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1761	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1762	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1763	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1764	C₈	—	10	1	no	—
1765	C₈	—	10	1	no	—
1766	C₈	—	10	1	no	—
1767	C₈	—	10	1	no	—
1768	C₈	—	10	1	no	—
1769	C₈	—	10	1	no	—
1770	C₈	—	10	1	no	—
1771	C₈	—	10	1	no	—
1772	C₅	#61612	1	1	yes	characteristic, complemented, Sylow
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	2	1	no	—
1787	C₂²	—	4	4	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	20	1	no	—
1792	C₂²	—	20	1	no	—
1793	C₂²	—	20	1	no	—
1794	C₂²	#66172	1	2	yes	—
1795	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1796	C₄	—	2	2	no	—
1797	C₄	—	2	2	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	1	no	—
1800	C₄	—	2	1	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	4	1	no	—
1808	C₄	—	4	1	no	—
1809	C₄	—	4	1	no	—
1810	C₄	—	4	1	no	—
1811	C₄	—	4	1	no	—
1812	C₄	—	20	1	no	—
1813	C₄	—	20	1	no	—
1814	C₄	—	20	1	no	—
1815	C₄	—	20	1	no	—
1816	C₄	—	20	1	no	—
1817	C₄	—	20	1	no	—
1818	C₄	—	20	1	no	—
1819	C₄	C₂×#4144	1	1	yes	characteristic
1820	C₄	C₂×#4144	1	1	yes	characteristic
1821	C₂	—	2	2	no	—
1822	C₂	—	4	1	no	—
1823	C₂	—	4	1	no	—
1824	C₂	—	4	1	no	—
1825	C₂	—	4	1	no	—
1826	C₂	—	8	1	no	—
1827	C₂	—	40	1	no	—
1828	C₂	#10619140	1	1	yes	characteristic
1829	C₂	#10619188	1	1	yes	characteristic
1830	C₂	C₂×#66172	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×#3486	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3486	D₅
hypocenter	C₅	#61612
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #525 ◁ #3486

Complements

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

N	H ≅ G/N	type
1. C₅×#3486	C₂	semidirect
2. #10617957	C₂	semidirect
3. #10615848	C₂	semidirect
4. #10615845	C₂	semidirect
5. C₂×#65517	C₂	semidirect
6. #10615790	C₂	semidirect
7. D₄×#689	C₂	semidirect
8. #10615296	C₂	semidirect
9. #10615296	C₂	semidirect
10. #10615291	C₂	semidirect
11. #10615285	C₂	semidirect
12. #10615284	C₂	semidirect
13. #10615283	C₂	semidirect
14. #10615282	C₂	semidirect
15. #10615280	C₂	semidirect
16. #10615279	C₂	semidirect
17. #10615277	C₂	semidirect
18. #10615274	C₂	semidirect
19. #10615272	C₂	semidirect
20. #10615269	C₂	semidirect
21. #10615268	C₂	semidirect
22. #10615266	C₂	semidirect
23. #10615145	C₂	semidirect
24. #10615144	C₂	semidirect
25. #10615141	C₂	semidirect
26. #10615139	C₂	semidirect
27. #10614666	C₂	semidirect
28. #10614661	C₂	semidirect
29. #10614650	C₂	semidirect
30. #10614286	C₂	semidirect
31. #10614283	C₂	semidirect
57. C₂×#4097	C₂²	semidirect
58. C₂×#4096	C₂²	semidirect
61. C₂²×#689	C₂²	semidirect
64. C₂×#4088	C₂²	semidirect
88. #65528	C₂²	semidirect
89. #65528	C₂²	semidirect
90. #65528	C₂²	semidirect
92. #65527	C₂²	semidirect
95. #65522	C₂²	semidirect
96. #65521	C₂²	semidirect
109. #65517	C₂²	semidirect
110. #65517	C₂²	semidirect
111. #65517	C₂²	semidirect
116. #65516	C₂²	semidirect
119. #65514	C₂²	semidirect
122. C₂×#3967	C₂²	semidirect
125. #65381	C₂²	semidirect
126. #65379	C₂²	semidirect
127. #65379	C₂²	semidirect
128. #65379	C₂²	semidirect
129. #65375	C₂²	semidirect
130. #65372	C₂²	semidirect
131. #65371	C₂²	semidirect
132. #65370	C₂²	semidirect
133. #65349	C₂²	semidirect
134. #65348	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65345	C₂²	semidirect
137. #65344	C₂²	semidirect
138. #65343	C₂²	semidirect
139. #65343	C₂²	semidirect
140. #65343	C₂²	semidirect
143. #65341	C₂²	semidirect
144. #65341	C₂²	semidirect
145. #65341	C₂²	semidirect
147. #65340	C₂²	semidirect
148. #65340	C₂²	semidirect
149. #65340	C₂²	semidirect
151. #65339	C₂²	semidirect
152. #65339	C₂²	semidirect
153. #65338	C₂²	semidirect
155. #65337	C₂²	semidirect
157. #65336	C₂²	semidirect
158. #65336	C₂²	semidirect
160. #65334	C₂²	semidirect
161. #65334	C₂²	semidirect
163. #65333	C₂²	semidirect
164. #65332	C₂²	semidirect
173. #65320	C₂²	semidirect
174. #65320	C₂²	semidirect
175. #65319	C₂²	semidirect
176. #65319	C₂²	semidirect
177. #65319	C₂²	semidirect
178. C₄×#689	C₂²	semidirect
179. C₄×#689	C₂²	semidirect
180. C₄×#689	C₂²	semidirect
181. #65317	C₂²	semidirect
182. #65317	C₂²	semidirect
183. #65315	C₂²	semidirect
184. C₄×#688	C₂²	semidirect
185. #65311	C₂²	semidirect
186. #65311	C₂²	semidirect
187. #65310	C₂²	semidirect
188. #65309	C₂²	semidirect
492. #3486	D₅	semidirect
1772. C₅	#61612	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3486	2
#10617957	2
#10615848	2
#10615845	2
C₂×#65517	2
#10615790	2
D₄×#689	2
#10615296	2
#10615291	2
#10615285	2
#10615284	2
#10615283	2
#10615282	2
#10615280	2
#10615279	2
#10615277	2
#10615274	2
#10615272	2
#10615269	2
#10615268	2
#10615266	2
#10615145	2
#10615144	2
#10615141	2
#10615139	2
#10614666	2
#10614661	2
#10614650	2
#10614286	2
#10614283	2
#61612	5