Subgroups — #12984255

Order 1280.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1934 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3519	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#709	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615387	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615384	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615372	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615366	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615351	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615350	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615347	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615346	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615314	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615308	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615238	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615237	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615234	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615233	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615222	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615219	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615039	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615032	C₂	1	1	yes	maximal, characteristic, complemented
21	#10614878	C₂	1	1	yes	maximal, characteristic, complemented
22	#10614873	C₂	1	1	yes	maximal, characteristic, complemented
23	#10614663	C₂	1	1	yes	maximal, characteristic, complemented
24	#10614661	C₂	1	1	yes	maximal, characteristic, complemented
25	#10614659	C₂	1	1	yes	maximal, characteristic, complemented
26	#10614657	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614359	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614357	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614355	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#65326	C₂	1	1	yes	maximal, characteristic, complemented
31	#10614033	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
33	C₂²×#709	C₂²	1	1	yes	characteristic, complemented
34	C₅×#555	C₂²	1	1	yes	characteristic, complemented
35	C₅×#554	C₂²	1	1	yes	characteristic, complemented
36	C₅×#553	—	2	1	no	—
37	C₅×#553	C₂²	1	1	yes	characteristic
38	C₅×#553	C₂²	1	1	yes	characteristic, complemented
39	C₅×#550	C₂²	1	1	yes	characteristic, complemented
40	C₅×#546	—	2	1	no	—
41	C₅×#546	—	2	1	no	—
42	C₅×#546	C₂²	1	1	yes	characteristic
43	C₅×#546	C₂²	1	1	yes	characteristic, complemented
44	C₅×D₄²	—	2	1	no	—
45	C₅×D₄²	C₂²	1	1	yes	characteristic, complemented
46	C₅×#540	—	2	1	no	—
47	C₅×#538	—	2	1	no	—
48	C₅×#538	—	2	1	no	—
49	C₅×#532	C₂²	1	1	yes	characteristic, complemented
50	C₅×#529	C₂²	1	1	yes	characteristic, complemented
51	C₅×#525	C₂²	1	1	yes	characteristic, complemented
52	C₅×#525	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
54	C₂×C₅×#121	C₂²	1	1	yes	characteristic, complemented
55	C₅×#518	—	2	1	no	—
56	C₂×C₄×C₅×D₄	C₂²	1	1	yes	characteristic
57	C₂×#4097	C₂²	1	1	yes	characteristic, complemented
58	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
59	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
60	C₂×#4095	C₂²	1	1	yes	characteristic, complemented
61	D₄×C₂²⋊D₅	—	2	1	no	—
62	C₂²×#687	C₂²	1	1	yes	characteristic, complemented
63	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
64	C₂×#4078	C₂²	1	1	yes	characteristic, complemented
65	C₂²×#686	C₂²	1	1	yes	characteristic, complemented
66	#66125	C₂²	1	1	yes	characteristic, complemented
67	#66125	C₂²	1	1	yes	characteristic, complemented
68	#65887	C₂²	1	1	yes	characteristic, complemented
69	#65886	C₂²	1	1	yes	characteristic
70	#65886	C₂²	1	1	yes	characteristic, complemented
71	#65885	C₂²	1	1	yes	characteristic, complemented
72	#65884	C₂²	1	1	yes	characteristic
73	#65884	C₂²	1	1	yes	characteristic, complemented
74	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
75	#65882	—	2	1	no	—
76	#65881	—	2	1	no	—
77	#65881	—	2	1	no	—
78	C₄×D₄×D₅	—	2	1	no	—
79	D₄×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
80	#65841	—	2	1	no	—
81	#65824	—	2	1	no	—
82	#65824	—	2	1	no	—
83	#65811	C₂²	1	1	yes	characteristic, complemented
84	C₄×#709	C₂²	1	1	yes	characteristic, complemented
85	#65528	C₂²	1	1	yes	characteristic, complemented
86	#65528	C₂²	1	1	yes	characteristic, complemented
87	#65527	C₂²	1	1	yes	characteristic, complemented
88	#65527	C₂²	1	1	yes	characteristic, complemented
89	#65507	C₂²	1	1	yes	characteristic, complemented
90	#65507	C₂²	1	1	yes	characteristic, complemented
91	#65506	C₂²	1	1	yes	characteristic, complemented
92	#65506	C₂²	1	1	yes	characteristic, complemented
93	#65496	C₂²	1	1	yes	characteristic, complemented
94	#65496	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₂²⋊#168	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₂²⋊#168	C₂²	1	1	yes	characteristic, complemented
97	#65383	C₂²	1	1	yes	characteristic, complemented
98	#65378	C₂²	1	1	yes	characteristic, complemented
99	#65378	C₂²	1	1	yes	characteristic, complemented
100	#65376	C₂²	1	1	yes	characteristic, complemented
101	#65364	C₂²	1	1	yes	characteristic, complemented
102	#65363	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	#65356	C₂²	1	1	yes	characteristic, complemented
107	#65355	C₂²	1	1	yes	characteristic, complemented
108	#65352	C₂²	1	1	yes	characteristic, complemented
109	#65349	C₂²	1	1	yes	characteristic, complemented
110	#65347	C₂²	1	1	yes	characteristic, complemented
111	#65346	C₂²	1	1	yes	characteristic, complemented
112	#65343	C₂²	1	1	yes	characteristic, complemented
113	#65341	C₂²	1	1	yes	characteristic, complemented
114	#65340	C₂²	1	1	yes	characteristic, complemented
115	#65339	C₂²	1	1	yes	characteristic, complemented
116	#65338	C₂²	1	1	yes	characteristic, complemented
117	#65337	C₂²	1	1	yes	characteristic, complemented
118	#65336	C₂²	1	1	yes	characteristic, complemented
119	#65336	C₂²	1	1	yes	characteristic, complemented
120	#65336	C₂²	1	1	yes	characteristic, complemented
121	#65336	C₂²	1	1	yes	characteristic, complemented
122	#65336	C₂²	1	1	yes	characteristic, complemented
123	#65335	C₂²	1	1	yes	characteristic, complemented
124	#65334	C₂²	1	1	yes	characteristic, complemented
125	#65331	C₂²	1	1	yes	characteristic, complemented
126	#65331	C₂²	1	1	yes	characteristic, complemented
127	#65331	C₂²	1	1	yes	characteristic, complemented
128	#65330	C₂²	1	1	yes	characteristic, complemented
129	#65330	C₂²	1	1	yes	characteristic, complemented
130	#65330	C₂²	1	1	yes	characteristic, complemented
131	#65329	C₂²	1	1	yes	characteristic, complemented
132	#65329	C₂²	1	1	yes	characteristic, complemented
133	#65329	C₂²	1	1	yes	characteristic, complemented
134	#65328	C₂²	1	1	yes	characteristic, complemented
135	#65328	C₂²	1	1	yes	characteristic, complemented
136	#65328	C₂²	1	1	yes	characteristic, complemented
137	#65327	C₂²	1	1	yes	characteristic, complemented
138	#65327	C₂²	1	1	yes	characteristic, complemented
139	#65327	C₂²	1	1	yes	characteristic, complemented
140	#65326	C₂²	1	1	yes	characteristic
141	#65326	C₂²	1	1	yes	characteristic, complemented
142	#65326	C₂²	1	1	yes	characteristic, complemented
143	#65326	C₂²	1	1	yes	characteristic, complemented
144	#65326	C₂²	1	1	yes	characteristic, complemented
145	#65326	C₂²	1	1	yes	characteristic, complemented
146	#65326	C₂²	1	1	yes	characteristic, complemented
147	#65326	C₂²	1	1	yes	characteristic, complemented
148	#65326	C₂²	1	1	yes	characteristic, complemented
149	#65326	C₂²	1	1	yes	characteristic, complemented
150	#65326	C₂²	1	1	yes	characteristic, complemented
151	#65326	C₂²	1	1	yes	characteristic, complemented
152	#65326	C₂²	1	1	yes	characteristic, complemented
153	#65326	C₂²	1	1	yes	characteristic, complemented
154	#65326	C₂²	1	1	yes	characteristic, complemented
155	#65325	C₂²	1	1	yes	characteristic, complemented
156	#65325	C₂²	1	1	yes	characteristic, complemented
157	#65325	C₂²	1	1	yes	characteristic, complemented
158	#65324	C₂²	1	1	yes	characteristic, complemented
159	#65324	C₂²	1	1	yes	characteristic, complemented
160	#65324	C₂²	1	1	yes	characteristic, complemented
161	#65319	C₂²	1	1	yes	characteristic, complemented
162	#65317	C₂²	1	1	yes	characteristic, complemented
163	#65317	C₂²	1	1	yes	characteristic, complemented
164	#65315	C₂²	1	1	yes	characteristic, complemented
165	#65308	C₂²	1	1	yes	characteristic, complemented
166	#65308	C₂²	1	1	yes	characteristic, complemented
167	#65307	C₂²	1	1	yes	characteristic, complemented
168	#65307	C₂²	1	1	yes	characteristic, complemented
169	#65307	C₂²	1	1	yes	characteristic, complemented
170	#65305	C₂²	1	1	yes	characteristic, complemented
171	#65305	C₂²	1	1	yes	characteristic, complemented
172	#65304	C₂²	1	1	yes	characteristic, complemented
173	#65304	C₂²	1	1	yes	characteristic, complemented
174	#65303	C₂²	1	1	yes	characteristic, complemented
175	#65303	C₂²	1	1	yes	characteristic, complemented
176	#65303	C₂²	1	1	yes	characteristic, complemented
177	#65300	C₂²	1	1	yes	characteristic, complemented
178	#65300	C₂²	1	1	yes	characteristic, complemented
179	#65300	C₂²	1	1	yes	characteristic, complemented
180	#65300	C₂²	1	1	yes	characteristic, complemented
181	#65300	C₂²	1	1	yes	characteristic, complemented
182	#65300	C₂²	1	1	yes	characteristic, complemented
183	#65300	C₂²	1	1	yes	characteristic, complemented
184	#65300	C₂²	1	1	yes	characteristic, complemented
185	#65293	C₂²	1	1	yes	characteristic, complemented
186	#65292	C₂²	1	1	yes	characteristic, complemented
187	#65292	C₂²	1	1	yes	characteristic, complemented
188	#65291	C₂²	1	1	yes	characteristic, complemented
189	#65291	C₂²	1	1	yes	characteristic, complemented
190	#65290	C₂²	1	1	yes	characteristic, complemented
191	#65285	C₂²	1	1	yes	characteristic, complemented
192	#65285	C₂²	1	1	yes	characteristic, complemented
193	#65260	C₂²	1	1	yes	characteristic, complemented
194	#65259	C₂²	1	1	yes	characteristic, complemented
195	C₂×#3942	C₂²	1	1	yes	characteristic, complemented
196	#65257	C₂²	1	1	yes	characteristic, complemented
197	#65256	C₂²	1	1	yes	characteristic, complemented
198	#65255	C₂²	1	1	yes	characteristic, complemented
199	#65255	C₂²	1	1	yes	characteristic, complemented
200	C₂×#3941	C₂²	1	1	yes	characteristic, complemented
201	#65215	C₂²	1	1	yes	characteristic, complemented
202	#65215	C₂²	1	1	yes	characteristic, complemented
203	#61579	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	—	2	1	no	—
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₂²×C₅×D₄	—	2	1	no	—
208	C₂²×C₅×D₄	—	2	1	no	—
209	C₂²×C₅×D₄	—	2	1	no	—
210	C₂²×C₅×D₄	D₄	1	1	yes	characteristic
211	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
212	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
213	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
214	C₂³×C₄×C₅	C₂³	1	1	yes	characteristic
215	C₂²×C₂²⋊D₅	—	2	1	no	—
216	C₂²×C₂²⋊D₅	—	2	1	no	—
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×#709	—	2	1	no	—
219	C₂×#709	—	2	1	no	—
220	C₂×#709	—	2	1	no	—
221	C₂×#709	—	2	1	no	—
222	C₂×#709	—	4	2	no	—
223	C₂×#709	—	4	2	no	—
224	C₂×#709	—	4	2	no	—
225	C₂×#709	—	4	2	no	—
226	C₂×#709	C₂³	1	1	yes	characteristic
227	C₂×#709	C₂³	1	1	yes	characteristic
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂×#709	C₂³	1	1	yes	characteristic
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂×#709	C₂³	1	1	yes	characteristic
232	C₂×#709	C₂³	1	1	yes	characteristic
233	C₂²×D₂₀	C₂³	1	1	yes	characteristic
234	C₂²×D₂₀	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	—	2	1	no	—
236	C₂²×C₄×D₅	—	2	1	no	—
237	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
238	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
239	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
240	C₅×#127	—	2	1	no	—
241	C₅×#127	C₂³	1	1	yes	characteristic
242	C₅×#126	—	2	1	no	—
243	C₅×#126	—	2	1	no	—
244	C₅×#126	—	2	1	no	—
245	C₅×#125	—	2	1	no	—
246	C₅×#125	C₂³	1	1	yes	characteristic
247	C₅×#124	—	2	1	no	—
248	C₅×#124	—	2	1	no	—
249	C₅×#124	—	2	1	no	—
250	C₅×#124	C₂³	1	1	yes	characteristic
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×C₂²⋊Q₈	—	2	1	no	—
259	C₅×C₂²⋊Q₈	—	2	1	no	—
260	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
261	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
262	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
263	C₅×#121	—	2	1	no	—
264	C₅×#121	—	2	1	no	—
265	C₅×#121	—	2	1	no	—
266	C₅×#121	—	2	1	no	—
267	C₅×#121	—	2	1	no	—
268	C₅×#121	—	2	1	no	—
269	C₅×#121	—	2	1	no	—
270	C₅×#121	—	2	1	no	—
271	C₅×#121	—	2	1	no	—
272	C₅×#121	—	2	1	no	—
273	C₅×#121	—	2	1	no	—
274	C₅×#121	—	2	1	no	—
275	C₅×#121	—	2	1	no	—
276	C₅×#121	C₂³	1	1	yes	characteristic
277	C₅×#121	C₂³	1	1	yes	characteristic
278	C₅×#121	C₂³	1	1	yes	characteristic
279	C₅×#121	C₂³	1	1	yes	characteristic
280	C₅×#121	C₂³	1	1	yes	characteristic
281	C₅×#121	C₂³	1	1	yes	characteristic
282	C₅×#121	C₂³	1	1	yes	characteristic
283	C₅×#121	C₂³	1	1	yes	characteristic
284	C₅×#121	C₂³	1	1	yes	characteristic
285	C₅×#120	—	2	1	no	—
286	C₅×#120	—	2	1	no	—
287	C₅×#120	—	2	1	no	—
288	C₅×#120	—	2	1	no	—
289	C₅×#120	—	2	1	no	—
290	C₅×#120	—	2	1	no	—
291	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
292	C₄×C₅×D₄	—	2	1	no	—
293	C₄×C₅×D₄	—	2	1	no	—
294	C₄×C₅×D₄	—	2	1	no	—
295	C₄×C₅×D₄	—	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	D₄	1	1	yes	characteristic
303	C₄×C₅×D₄	D₄	1	1	yes	characteristic
304	C₄×C₅×D₄	D₄	1	1	yes	characteristic
305	C₄×C₅×D₄	D₄	1	1	yes	characteristic
306	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
307	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
308	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
309	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
310	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
311	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
312	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
313	C₅×#117	—	2	1	no	—
314	C₅×#117	—	2	1	no	—
315	C₅×#117	C₂³	1	1	yes	characteristic
316	C₅×#117	C₂³	1	1	yes	characteristic
317	C₂×C₅×C₄⋊C₄	D₄	1	1	yes	characteristic
318	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
321	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
322	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
323	C₂×C₅×C₂²⋊C₄	—	2	1	no	—
324	C₂×C₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
325	C₂×C₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
326	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
327	#4099	—	2	1	no	—
328	#4099	—	2	1	no	—
329	#4097	—	4	2	no	—
330	#4096	—	4	2	no	—
331	#4096	—	4	2	no	—
332	#4095	—	4	2	no	—
333	C₂×#689	C₂³	1	1	yes	characteristic
334	C₂×#689	C₂³	1	1	yes	characteristic
335	C₂×#689	C₂³	1	1	yes	characteristic
336	C₂×#688	C₂³	1	1	yes	characteristic
337	C₂×#688	C₂³	1	1	yes	characteristic
338	C₂×#688	C₂³	1	1	yes	characteristic
339	#4086	—	2	1	no	—
340	#4085	—	2	1	no	—
341	#4085	—	2	1	no	—
342	#4084	—	2	1	no	—
343	#4083	—	2	1	no	—
344	#4083	—	2	1	no	—
345	D₄×Dic₅	—	2	1	no	—
346	C₂×#687	—	4	2	no	—
347	C₂×#687	C₂³	1	1	yes	characteristic
348	C₂×#687	C₂³	1	1	yes	characteristic
349	C₂×#687	C₂³	1	1	yes	characteristic
350	C₂×#687	C₂³	1	1	yes	characteristic
351	C₂×#687	C₂³	1	1	yes	characteristic
352	C₂×#687	C₂³	1	1	yes	characteristic
353	C₂×#687	C₂³	1	1	yes	characteristic
354	C₂×#687	C₂³	1	1	yes	characteristic
355	C₂×#687	C₂³	1	1	yes	characteristic
356	#4078	—	4	2	no	—
357	#4078	—	4	2	no	—
358	C₂×#686	—	4	2	no	—
359	C₂×#686	C₂³	1	1	yes	characteristic
360	C₂×#686	C₂³	1	1	yes	characteristic
361	C₂×#686	C₂³	1	1	yes	characteristic
362	C₂×#686	C₂³	1	1	yes	characteristic
363	C₂×#686	C₂³	1	1	yes	characteristic
364	C₂×#686	C₂³	1	1	yes	characteristic
365	C₂×#686	C₂³	1	1	yes	characteristic
366	C₂×#686	C₂³	1	1	yes	characteristic
367	C₂×#686	C₂³	1	1	yes	characteristic
368	#4076	—	2	1	no	—
369	#4076	—	2	1	no	—
370	#4076	C₂³	1	1	yes	characteristic
371	#4076	C₂³	1	1	yes	characteristic
372	#4076	C₂³	1	1	yes	characteristic
373	#4076	C₂³	1	1	yes	characteristic
374	#4075	—	2	1	no	—
375	#4075	—	2	1	no	—
376	C₄×C₂²⋊D₅	—	2	1	no	—
377	C₄×C₂²⋊D₅	—	2	1	no	—
378	C₄×C₂²⋊D₅	—	2	1	no	—
379	C₄×C₂²⋊D₅	—	2	1	no	—
380	C₄×C₂²⋊D₅	—	2	1	no	—
381	C₄×C₂²⋊D₅	—	2	1	no	—
382	#4072	C₂³	1	1	yes	characteristic
383	#4070	C₂³	1	1	yes	characteristic
384	#4070	C₂³	1	1	yes	characteristic
385	#4070	C₂³	1	1	yes	characteristic
386	#4070	C₂³	1	1	yes	characteristic
387	C₂×#681	C₂³	1	1	yes	characteristic
388	C₂×#681	C₂³	1	1	yes	characteristic
389	C₂×#681	C₂³	1	1	yes	characteristic
390	C₂×#681	C₂³	1	1	yes	characteristic
391	C₂²×#168	C₂³	1	1	yes	characteristic
392	C₂²×#168	C₂³	1	1	yes	characteristic
393	C₂²×#168	C₂³	1	1	yes	characteristic
394	C₂²×#168	C₂³	1	1	yes	characteristic
395	#4042	—	2	1	no	—
396	#4042	—	2	1	no	—
397	#4041	—	2	1	no	—
398	#4040	—	2	1	no	—
399	#4040	—	2	1	no	—
400	#4039	—	2	1	no	—
401	D₅×C₄⋊C₄	—	2	1	no	—
402	#4034	—	2	1	no	—
403	#4031	—	2	1	no	—
404	#4031	—	2	1	no	—
405	#4030	—	2	1	no	—
406	#4030	—	2	1	no	—
407	#4030	—	2	1	no	—
408	#4030	—	2	1	no	—
409	#4029	—	2	1	no	—
410	#4029	—	2	1	no	—
411	#4028	—	2	1	no	—
412	#4028	—	2	1	no	—
413	#4027	—	2	1	no	—
414	#4027	—	2	1	no	—
415	D₅×C₂²⋊C₄	—	2	1	no	—
416	D₅×C₂²⋊C₄	—	2	1	no	—
417	#4024	—	2	1	no	—
418	#4024	—	2	1	no	—
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic
421	#4020	C₂³	1	1	yes	characteristic
422	C₄×D₂₀	—	2	1	no	—
423	C₄×D₂₀	—	2	1	no	—
424	C₄×D₂₀	C₂³	1	1	yes	characteristic
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	#4018	—	2	1	no	—
427	C₄²×D₅	—	2	1	no	—
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	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3964	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3964	C₂³	1	1	yes	characteristic
439	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	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	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	#3935	C₂³	1	1	yes	characteristic
490	#3935	C₂³	1	1	yes	characteristic
491	#3519	D₅	1	1	yes	characteristic, complemented
492	D₄×#41	—	5	1	no	—
493	#3321	—	5	1	no	—
494	#3320	—	5	1	no	—
495	#3319	—	5	1	no	—
496	#3318	—	5	1	no	—
497	#3316	—	5	1	no	—
498	#3314	—	5	1	no	—
499	#3309	—	5	1	no	—
500	#3307	—	5	1	no	—
501	#3271	—	5	1	no	—
502	#3268	—	5	1	no	—
503	#3268	—	5	1	no	—
504	#3267	—	5	1	no	—
505	#3266	—	5	1	no	—
506	#3265	—	5	1	no	—
507	#3264	—	5	1	no	—
508	#3264	—	5	1	no	—
509	#3219	—	5	1	no	—
510	#3214	—	5	1	no	—
511	#3197	—	5	1	no	—
512	#3194	—	5	1	no	—
513	#3191	—	5	1	no	—
514	#3188	—	5	1	no	—
515	#3115	—	5	1	no	—
516	#3111	—	5	1	no	—
517	#3006	—	5	1	no	—
518	#3005	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#449	—	5	1	no	—
521	#2973	—	5	1	no	—
522	C₂⁴×C₅	—	2	1	no	—
523	C₂⁴×C₅	—	2	1	no	—
524	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
525	C₂⁴×C₅	C₂×D₄	1	1	yes	characteristic
526	C₂³×D₅	—	2	1	no	—
527	C₂³×D₅	—	2	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	—	8	2	no	—
533	C₂×C₅×Q₈	—	2	1	no	—
534	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	—	2	1	no	—
543	C₂×C₅×D₄	—	2	1	no	—
544	C₂×C₅×D₄	—	2	1	no	—
545	C₂×C₅×D₄	—	2	1	no	—
546	C₂×C₅×D₄	—	2	1	no	—
547	C₂×C₅×D₄	—	2	1	no	—
548	C₂×C₅×D₄	—	2	1	no	—
549	C₂×C₅×D₄	—	2	1	no	—
550	C₂×C₅×D₄	—	4	1	no	—
551	C₂×C₅×D₄	—	4	1	no	—
552	C₂×C₅×D₄	—	4	1	no	—
553	C₂×C₅×D₄	—	4	1	no	—
554	C₂×C₅×D₄	—	4	2	no	—
555	C₂×C₅×D₄	—	4	4	no	—
556	C₂×C₅×D₄	—	8	2	no	—
557	C₂×C₅×D₄	—	8	2	no	—
558	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
559	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
560	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
561	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
562	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
563	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
564	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₄×C₅	—	2	1	no	—
566	C₂²×C₄×C₅	—	2	1	no	—
567	C₂²×C₄×C₅	—	2	1	no	—
568	C₂²×C₄×C₅	—	2	1	no	—
569	C₂²×C₄×C₅	—	2	1	no	—
570	C₂²×C₄×C₅	—	2	1	no	—
571	C₂²×C₄×C₅	—	2	1	no	—
572	C₂²×C₄×C₅	—	4	1	no	—
573	C₂²×C₄×C₅	—	4	1	no	—
574	C₂²×C₄×C₅	—	4	1	no	—
575	C₂²×C₄×C₅	—	4	1	no	—
576	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
577	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
578	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
579	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
580	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
581	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
582	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
583	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
584	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
588	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
589	C₂×C₂²⋊D₅	—	2	1	no	—
590	C₂×C₂²⋊D₅	—	2	1	no	—
591	C₂×C₂²⋊D₅	—	2	1	no	—
592	C₂×C₂²⋊D₅	—	2	1	no	—
593	C₂×C₂²⋊D₅	—	2	1	no	—
594	C₂×C₂²⋊D₅	—	2	1	no	—
595	C₂×C₂²⋊D₅	—	2	1	no	—
596	C₂×C₂²⋊D₅	—	2	1	no	—
597	C₂×C₂²⋊D₅	—	2	1	no	—
598	C₂×C₂²⋊D₅	—	2	1	no	—
599	C₂×C₂²⋊D₅	—	2	1	no	—
600	C₂×C₂²⋊D₅	—	4	4	no	—
601	C₂×C₂²⋊D₅	—	4	4	no	—
602	C₂²×Dic₅	—	2	1	no	—
603	C₂²×Dic₅	—	2	1	no	—
604	D₄×D₅	—	4	4	no	—
605	#709	—	2	2	no	—
606	#709	—	2	2	no	—
607	#709	—	2	2	no	—
608	#709	—	2	2	no	—
609	#709	—	2	2	no	—
610	#709	—	2	2	no	—
611	#709	—	4	1	no	—
612	#709	—	4	1	no	—
613	#709	—	4	1	no	—
614	#709	—	4	1	no	—
615	#709	—	4	1	no	—
616	#709	—	4	1	no	—
617	#709	—	4	1	no	—
618	#709	—	4	1	no	—
619	#709	—	4	4	no	—
620	#709	—	4	4	no	—
621	#709	—	4	4	no	—
622	#709	—	4	4	no	—
623	C₂×D₂₀	—	2	2	no	—
624	C₂×D₂₀	—	2	2	no	—
625	C₂×D₂₀	—	2	1	no	—
626	C₂×D₂₀	—	2	1	no	—
627	C₂×D₂₀	—	2	1	no	—
628	C₂×D₂₀	—	2	1	no	—
629	C₂×D₂₀	—	4	1	no	—
630	C₂×D₂₀	—	4	1	no	—
631	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
632	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
633	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅	—	2	1	no	—
635	C₂×C₄×D₅	—	2	1	no	—
636	C₂×C₄×D₅	—	2	1	no	—
637	C₂×C₄×D₅	—	2	1	no	—
638	C₂×C₄×D₅	—	2	1	no	—
639	C₂×C₄×D₅	—	2	1	no	—
640	C₂×C₄×D₅	—	2	1	no	—
641	C₂×C₄×D₅	—	2	1	no	—
642	C₂×C₄×D₅	—	2	1	no	—
643	C₂×C₄×D₅	—	4	4	no	—
644	C₂×C₄×D₅	—	4	4	no	—
645	C₂×Dic₁₀	—	2	2	no	—
646	C₂×Dic₁₀	—	2	2	no	—
647	C₂×Dic₁₀	—	2	1	no	—
648	C₂×Dic₁₀	—	2	1	no	—
649	C₂×Dic₁₀	—	4	1	no	—
650	C₂×Dic₁₀	—	4	1	no	—
651	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
652	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
653	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	—	2	1	no	—
656	C₅×C₄⋊C₄	—	2	1	no	—
657	C₅×C₄⋊C₄	—	2	1	no	—
658	C₅×C₄⋊C₄	—	2	1	no	—
659	C₅×C₄⋊C₄	—	2	1	no	—
660	C₅×C₄⋊C₄	—	2	1	no	—
661	C₅×C₄⋊C₄	—	2	1	no	—
662	C₅×C₄⋊C₄	—	2	1	no	—
663	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
664	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
665	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
668	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
669	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
670	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
681	C₅×C₂²⋊C₄	—	2	1	no	—
682	C₅×C₂²⋊C₄	—	2	1	no	—
683	C₅×C₂²⋊C₄	—	2	1	no	—
684	C₅×C₂²⋊C₄	—	2	1	no	—
685	C₅×C₂²⋊C₄	—	2	1	no	—
686	C₅×C₂²⋊C₄	—	2	1	no	—
687	C₅×C₂²⋊C₄	—	2	1	no	—
688	C₅×C₂²⋊C₄	—	2	1	no	—
689	C₅×C₂²⋊C₄	—	2	1	no	—
690	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
692	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
693	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
694	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
695	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
696	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
697	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
698	C₄²×C₅	—	2	1	no	—
699	C₄²×C₅	—	2	1	no	—
700	C₄²×C₅	—	2	1	no	—
701	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
702	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
703	C₄²×C₅	C₂⁴	1	1	yes	characteristic
704	C₄²×C₅	C₂⁴	1	1	yes	characteristic
705	C₂²⋊Dic₅	—	2	1	no	—
706	C₂²⋊Dic₅	—	2	1	no	—
707	C₂²⋊Dic₅	—	2	1	no	—
708	C₂²⋊Dic₅	—	2	1	no	—
709	C₂²⋊Dic₅	—	2	1	no	—
710	#689	—	2	2	no	—
711	#689	—	4	1	no	—
712	#689	—	4	1	no	—
713	#688	—	2	2	no	—
714	#688	—	4	1	no	—
715	#688	—	4	1	no	—
716	#687	—	2	2	no	—
717	#687	—	2	2	no	—
718	#687	—	2	2	no	—
719	#687	—	4	1	no	—
720	#687	—	4	1	no	—
721	#687	—	4	1	no	—
722	#687	—	4	1	no	—
723	#687	—	4	1	no	—
724	#687	—	4	1	no	—
725	#686	—	2	2	no	—
726	#686	—	2	2	no	—
727	#686	—	2	2	no	—
728	#686	—	4	1	no	—
729	#686	—	4	1	no	—
730	#686	—	4	1	no	—
731	#686	—	4	1	no	—
732	#686	—	4	1	no	—
733	#686	—	4	1	no	—
734	#685	—	2	1	no	—
735	#685	—	2	1	no	—
736	#685	—	2	1	no	—
737	#685	—	2	1	no	—
738	#685	—	2	1	no	—
739	#685	—	2	1	no	—
740	#685	—	2	1	no	—
741	#685	—	2	1	no	—
742	#685	—	2	1	no	—
743	#685	—	2	1	no	—
744	C₄⋊Dic₅	—	2	1	no	—
745	C₄⋊Dic₅	—	2	1	no	—
746	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
747	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
748	#683	—	2	1	no	—
749	#683	—	2	1	no	—
750	#683	—	2	1	no	—
751	#683	—	2	1	no	—
752	#683	—	2	1	no	—
753	#683	—	2	1	no	—
754	C₄×Dic₅	—	2	1	no	—
755	C₄×Dic₅	—	2	1	no	—
756	C₄×Dic₅	—	2	1	no	—
757	#681	—	4	1	no	—
758	#681	—	4	1	no	—
759	#681	—	4	1	no	—
760	#681	—	4	1	no	—
761	C₂×#168	—	4	1	no	—
762	C₂×#168	—	4	1	no	—
763	C₂×#168	—	4	1	no	—
764	C₂×#168	—	4	1	no	—
765	C₂×#168	C₂⁴	1	1	yes	characteristic
766	C₂×#168	C₂⁴	1	1	yes	characteristic
767	C₂×#168	C₂⁴	1	1	yes	characteristic
768	C₂×#168	C₂⁴	1	1	yes	characteristic
769	C₂×#168	C₂⁴	1	1	yes	characteristic
770	C₂×#168	C₂⁴	1	1	yes	characteristic
771	C₂×#168	C₂⁴	1	1	yes	characteristic
772	C₂×#168	C₂⁴	1	1	yes	characteristic
773	C₂²×#41	—	5	1	no	—
774	C₂²×#41	—	5	1	no	—
775	C₂×#137	—	5	1	no	—
776	C₂×AGL(1,ℤ/8)	—	5	1	no	—
777	C₂×AGL(1,ℤ/8)	—	5	1	no	—
778	C₂×AGL(1,ℤ/8)	—	5	1	no	—
779	C₂×#135	—	5	1	no	—
780	C₂×#135	—	5	1	no	—
781	C₂²×SD₁₆	—	5	1	no	—
782	C₂²×D₈	—	5	1	no	—
783	#555	C₂×D₅	1	1	yes	characteristic, complemented
784	#554	C₂×D₅	1	1	yes	characteristic, complemented
785	#553	—	2	1	no	—
786	#553	C₂×D₅	1	1	yes	characteristic
787	#553	C₂×D₅	1	1	yes	characteristic, complemented
788	#550	—	5	1	no	—
789	#550	C₂×D₅	1	1	yes	characteristic, complemented
790	D₄×Q₈	—	5	1	no	—
791	#548	—	5	1	no	—
792	#548	—	5	1	no	—
793	#547	—	5	1	no	—
794	#547	—	10	1	no	—
795	#546	—	2	1	no	—
796	#546	—	2	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#546	C₂×D₅	1	1	yes	characteristic
802	#546	C₂×D₅	1	1	yes	characteristic, complemented
803	D₄²	—	2	1	no	—
804	D₄²	—	5	1	no	—
805	D₄²	—	10	1	no	—
806	D₄²	C₂×D₅	1	1	yes	characteristic, complemented
807	#540	—	2	1	no	—
808	#538	—	2	1	no	—
809	#538	—	2	1	no	—
810	#532	—	5	1	no	—
811	#532	—	10	1	no	—
812	#532	C₂×D₅	1	1	yes	characteristic, complemented
813	#529	C₂×D₅	1	1	yes	characteristic, complemented
814	#525	—	5	1	no	—
815	#525	—	5	1	no	—
816	#525	—	10	1	no	—
817	#525	—	10	1	no	—
818	#525	C₂×D₅	1	1	yes	characteristic, complemented
819	#525	C₂×D₅	1	1	yes	characteristic, complemented
820	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
821	C₂×#121	C₂×D₅	1	1	yes	characteristic, complemented
822	#518	—	2	1	no	—
823	C₄×#41	—	5	1	no	—
824	C₂×C₄×D₄	—	10	1	no	—
825	C₂×C₄×D₄	C₂×D₅	1	1	yes	characteristic
826	#497	—	5	1	no	—
827	#496	—	5	1	no	—
828	#496	—	5	1	no	—
829	#496	—	5	1	no	—
830	#491	—	5	1	no	—
831	#490	—	5	1	no	—
832	#489	—	5	1	no	—
833	#489	—	5	1	no	—
834	#485	—	5	1	no	—
835	#485	—	5	1	no	—
836	#485	—	5	1	no	—
837	#484	—	5	1	no	—
838	#483	—	5	1	no	—
839	#482	—	5	1	no	—
840	#482	—	5	1	no	—
841	#482	—	5	1	no	—
842	#482	—	5	1	no	—
843	#482	—	5	1	no	—
844	#481	—	5	1	no	—
845	#480	—	5	1	no	—
846	#479	—	5	1	no	—
847	#478	—	5	1	no	—
848	#475	—	5	1	no	—
849	#474	—	5	1	no	—
850	#470	—	5	1	no	—
851	#469	—	5	1	no	—
852	#469	—	5	1	no	—
853	#469	—	5	1	no	—
854	#468	—	5	1	no	—
855	#468	—	5	1	no	—
856	#468	—	5	1	no	—
857	#468	—	5	1	no	—
858	#467	—	5	1	no	—
859	#466	—	5	1	no	—
860	#466	—	5	1	no	—
861	#466	—	5	1	no	—
862	#465	—	5	1	no	—
863	#465	—	5	1	no	—
864	#465	—	5	1	no	—
865	#465	—	5	1	no	—
866	#464	—	5	1	no	—
867	#464	—	5	1	no	—
868	#464	—	5	1	no	—
869	#463	—	5	1	no	—
870	#463	—	5	1	no	—
871	#463	—	5	1	no	—
872	#461	—	5	1	no	—
873	#461	—	5	1	no	—
874	#460	—	5	1	no	—
875	#459	—	5	1	no	—
876	#459	—	5	1	no	—
877	#459	—	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	#451	—	5	1	no	—
886	#450	—	5	1	no	—
887	#450	—	5	1	no	—
888	#450	—	5	1	no	—
889	#449	—	5	1	no	—
890	#449	—	5	1	no	—
891	#449	—	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	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#449	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#447	—	5	1	no	—
910	#447	—	5	1	no	—
911	#447	—	5	1	no	—
912	#447	—	5	1	no	—
913	#447	—	5	1	no	—
914	#442	—	5	1	no	—
915	#442	—	5	1	no	—
916	#442	—	5	1	no	—
917	#441	—	5	1	no	—
918	#440	—	5	1	no	—
919	#440	—	5	1	no	—
920	#440	—	5	1	no	—
921	#440	—	5	1	no	—
922	#435	—	5	1	no	—
923	#435	—	5	1	no	—
924	#435	—	5	1	no	—
925	#435	—	5	1	no	—
926	#435	—	5	1	no	—
927	#435	—	5	1	no	—
928	#435	—	5	1	no	—
929	#435	—	5	1	no	—
930	#432	—	5	1	no	—
931	#432	—	5	1	no	—
932	#419	—	5	1	no	—
933	#418	—	5	1	no	—
934	#417	—	5	1	no	—
935	#417	—	5	1	no	—
936	#416	—	5	1	no	—
937	#416	—	5	1	no	—
938	C₂×#103	—	5	1	no	—
939	C₂×#102	—	5	1	no	—
940	#407	—	5	1	no	—
941	#407	—	5	1	no	—
942	C₂×C₂²⋊C₈	—	5	1	no	—
943	C₂×C₂²⋊C₈	—	5	1	no	—
944	C₂³×C₅	—	2	2	no	—
945	C₂³×C₅	—	2	1	no	—
946	C₂³×C₅	—	2	1	no	—
947	C₂³×C₅	—	2	1	no	—
948	C₂³×C₅	—	4	1	no	—
949	C₂³×C₅	—	4	1	no	—
950	C₂³×C₅	—	4	1	no	—
951	C₂³×C₅	—	4	1	no	—
952	C₂³×C₅	—	4	1	no	—
953	C₂³×C₅	—	4	2	no	—
954	C₂³×C₅	—	4	2	no	—
955	C₂³×C₅	—	8	1	no	—
956	C₂³×C₅	—	8	1	no	—
957	C₂³×C₅	—	8	1	no	—
958	C₂³×C₅	—	8	1	no	—
959	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
960	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
961	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
962	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
963	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
964	C₂²×D₅	—	2	1	no	—
965	C₂²×D₅	—	2	1	no	—
966	C₂²×D₅	—	2	1	no	—
967	C₂²×D₅	—	4	2	no	—
968	C₂²×D₅	—	4	2	no	—
969	C₂²×D₅	—	4	2	no	—
970	C₂²×D₅	—	4	2	no	—
971	C₂²×D₅	—	8	1	no	—
972	C₂²×D₅	—	8	1	no	—
973	C₅×Q₈	—	2	1	no	—
974	C₅×Q₈	—	2	1	no	—
975	C₅×Q₈	—	8	1	no	—
976	C₅×D₄	—	2	2	no	—
977	C₅×D₄	—	2	2	no	—
978	C₅×D₄	—	2	1	no	—
979	C₅×D₄	—	2	1	no	—
980	C₅×D₄	—	2	1	no	—
981	C₅×D₄	—	2	1	no	—
982	C₅×D₄	—	2	1	no	—
983	C₅×D₄	—	2	1	no	—
984	C₅×D₄	—	4	1	no	—
985	C₅×D₄	—	4	1	no	—
986	C₅×D₄	—	4	2	no	—
987	C₅×D₄	—	4	2	no	—
988	C₅×D₄	—	4	2	no	—
989	C₅×D₄	—	4	2	no	—
990	C₅×D₄	—	4	2	no	—
991	C₅×D₄	—	4	2	no	—
992	C₅×D₄	—	8	1	no	—
993	C₅×D₄	—	8	1	no	—
994	C₅×D₄	—	8	1	no	—
995	C₅×D₄	—	8	1	no	—
996	C₅×D₄	—	8	1	no	—
997	C₅×D₄	—	8	1	no	—
998	C₅×D₄	—	8	1	no	—
999	C₅×D₄	—	8	1	no	—
1000	C₅×D₄	—	8	1	no	—
1001	C₂×C₄×C₅	—	2	1	no	—
1002	C₂×C₄×C₅	—	2	1	no	—
1003	C₂×C₄×C₅	—	2	1	no	—
1004	C₂×C₄×C₅	—	2	1	no	—
1005	C₂×C₄×C₅	—	2	1	no	—
1006	C₂×C₄×C₅	—	2	1	no	—
1007	C₂×C₄×C₅	—	2	1	no	—
1008	C₂×C₄×C₅	—	2	1	no	—
1009	C₂×C₄×C₅	—	2	1	no	—
1010	C₂×C₄×C₅	—	2	1	no	—
1011	C₂×C₄×C₅	—	2	1	no	—
1012	C₂×C₄×C₅	—	2	1	no	—
1013	C₂×C₄×C₅	—	2	1	no	—
1014	C₂×C₄×C₅	—	2	1	no	—
1015	C₂×C₄×C₅	—	2	1	no	—
1016	C₂×C₄×C₅	—	4	1	no	—
1017	C₂×C₄×C₅	—	4	1	no	—
1018	C₂×C₄×C₅	—	4	1	no	—
1019	C₂×C₄×C₅	—	4	1	no	—
1020	C₂×C₄×C₅	—	4	1	no	—
1021	C₂×C₄×C₅	—	4	1	no	—
1022	C₂×C₄×C₅	—	4	1	no	—
1023	C₂×C₄×C₅	—	4	1	no	—
1024	C₂×C₄×C₅	—	4	2	no	—
1025	C₂×C₄×C₅	—	8	1	no	—
1026	C₂×C₄×C₅	—	8	1	no	—
1027	C₂×C₄×C₅	—	8	1	no	—
1028	C₂×C₄×C₅	—	8	1	no	—
1029	C₂×C₄×C₅	—	8	1	no	—
1030	C₂×C₄×C₅	—	8	1	no	—
1031	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1032	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1033	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1034	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1035	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1036	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1037	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1038	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1039	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
1040	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
1041	C₂²⋊D₅	—	2	4	no	—
1042	C₂²⋊D₅	—	4	2	no	—
1043	C₂²⋊D₅	—	4	2	no	—
1044	C₂²⋊D₅	—	4	2	no	—
1045	C₂²⋊D₅	—	4	2	no	—
1046	C₂²⋊D₅	—	4	2	no	—
1047	C₂²⋊D₅	—	4	2	no	—
1048	C₂²⋊D₅	—	4	2	no	—
1049	C₂²⋊D₅	—	4	2	no	—
1050	C₂²⋊D₅	—	8	1	no	—
1051	C₂²⋊D₅	—	8	1	no	—
1052	C₂×Dic₅	—	2	1	no	—
1053	C₂×Dic₅	—	2	1	no	—
1054	C₂×Dic₅	—	2	1	no	—
1055	C₂×Dic₅	—	2	1	no	—
1056	C₂×Dic₅	—	2	1	no	—
1057	C₂×Dic₅	—	4	2	no	—
1058	C₂×Dic₅	—	4	2	no	—
1059	D₂₀	—	2	1	no	—
1060	D₂₀	—	2	1	no	—
1061	D₂₀	—	2	1	no	—
1062	D₂₀	—	2	1	no	—
1063	D₂₀	—	2	1	no	—
1064	D₂₀	—	4	2	no	—
1065	D₂₀	—	4	2	no	—
1066	D₂₀	—	4	2	no	—
1067	D₂₀	—	8	1	no	—
1068	D₂₀	H(5,𝔽₂)	1	2	yes	—
1069	C₄×D₅	—	2	4	no	—
1070	C₄×D₅	—	4	2	no	—
1071	C₄×D₅	—	4	2	no	—
1072	C₄×D₅	—	4	2	no	—
1073	C₄×D₅	—	4	2	no	—
1074	C₄×D₅	—	4	2	no	—
1075	C₄×D₅	—	4	2	no	—
1076	C₄×D₅	—	4	2	no	—
1077	C₄×D₅	—	8	1	no	—
1078	Dic₁₀	—	2	1	no	—
1079	Dic₁₀	—	2	1	no	—
1080	Dic₁₀	—	2	1	no	—
1081	Dic₁₀	—	2	1	no	—
1082	Dic₁₀	—	2	1	no	—
1083	Dic₁₀	—	4	2	no	—
1084	Dic₁₀	—	4	2	no	—
1085	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1086	#168	—	2	1	no	—
1087	#168	—	2	1	no	—
1088	#168	—	2	1	no	—
1089	#168	—	2	1	no	—
1090	#168	—	2	1	no	—
1091	#168	—	2	1	no	—
1092	#168	—	2	1	no	—
1093	#168	—	2	1	no	—
1094	C₂×#41	—	2	1	no	—
1095	C₂×#41	—	5	1	no	—
1096	C₂×#41	—	5	1	no	—
1097	C₂×#41	—	5	1	no	—
1098	C₂×#41	—	5	1	no	—
1099	C₂×#41	—	5	1	no	—
1100	C₂×#41	—	5	1	no	—
1101	C₂×#41	—	5	1	no	—
1102	C₂×#41	—	10	1	no	—
1103	C₂×#41	—	10	1	no	—
1104	C₂×#41	—	10	1	no	—
1105	C₂×#41	—	10	1	no	—
1106	C₂×#41	—	20	2	no	—
1107	C₂×#41	—	20	2	no	—
1108	C₂×#41	—	20	2	no	—
1109	C₂×#41	—	20	2	no	—
1110	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1111	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1112	C₂²×Q₈	—	5	1	no	—
1113	C₂²×Q₈	—	5	1	no	—
1114	C₂²×D₄	—	2	1	no	—
1115	C₂²×D₄	—	2	1	no	—
1116	C₂²×D₄	—	2	1	no	—
1117	C₂²×D₄	—	5	1	no	—
1118	C₂²×D₄	—	5	1	no	—
1119	C₂²×D₄	—	10	1	no	—
1120	C₂²×D₄	—	10	1	no	—
1121	C₂²×D₄	—	10	1	no	—
1122	C₂²×D₄	C₂²⋊D₅	1	1	yes	characteristic
1123	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1124	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1125	C₂³×C₄	—	10	1	no	—
1126	C₂³×C₄	—	10	1	no	—
1127	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1128	C₂³×C₄	C₂²×D₅	1	1	yes	characteristic
1129	#137	—	20	2	no	—
1130	AGL(1,ℤ/8)	—	20	2	no	—
1131	AGL(1,ℤ/8)	—	20	2	no	—
1132	AGL(1,ℤ/8)	—	20	2	no	—
1133	#135	—	20	2	no	—
1134	#135	—	20	2	no	—
1135	C₂×Q₁₆	—	5	1	no	—
1136	C₂×Q₁₆	—	5	1	no	—
1137	C₂×Q₁₆	—	5	1	no	—
1138	C₂×SD₁₆	—	5	1	no	—
1139	C₂×SD₁₆	—	5	1	no	—
1140	C₂×SD₁₆	—	5	1	no	—
1141	C₂×SD₁₆	—	5	1	no	—
1142	C₂×SD₁₆	—	5	1	no	—
1143	C₂×SD₁₆	—	5	1	no	—
1144	C₂×SD₁₆	—	5	1	no	—
1145	C₂×SD₁₆	—	5	1	no	—
1146	C₂×SD₁₆	—	5	1	no	—
1147	C₂×SD₁₆	—	5	1	no	—
1148	C₂×SD₁₆	—	5	1	no	—
1149	C₂×SD₁₆	—	5	1	no	—
1150	C₂×SD₁₆	—	20	2	no	—
1151	C₂×D₈	—	5	1	no	—
1152	C₂×D₈	—	5	1	no	—
1153	C₂×D₈	—	5	1	no	—
1154	C₂×D₈	—	5	1	no	—
1155	C₂×D₈	—	5	1	no	—
1156	C₂×D₈	—	5	1	no	—
1157	C₂×D₈	—	5	1	no	—
1158	C₂×D₈	—	5	1	no	—
1159	C₂×D₈	—	5	1	no	—
1160	C₂×D₈	—	20	2	no	—
1161	C₂×M₁₆	—	5	1	no	—
1162	C₂×M₁₆	—	5	1	no	—
1163	C₂×M₁₆	—	5	1	no	—
1164	C₂×M₁₆	—	5	1	no	—
1165	C₂²×C₈	—	5	1	no	—
1166	C₂²×C₈	—	5	1	no	—
1167	C₂²×C₈	—	5	1	no	—
1168	C₂²×C₈	—	5	1	no	—
1169	C₄⋊Q₈	—	5	1	no	—
1170	C₄⋊Q₈	—	10	1	no	—
1171	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1172	#127	—	2	1	no	—
1173	#127	—	5	1	no	—
1174	#127	—	10	1	no	—
1175	#127	C₂²×D₅	1	1	yes	characteristic
1176	#126	—	2	1	no	—
1177	#126	—	2	1	no	—
1178	#126	—	2	1	no	—
1179	#125	—	2	1	no	—
1180	#125	C₂²×D₅	1	1	yes	characteristic
1181	#124	—	2	1	no	—
1182	#124	—	2	1	no	—
1183	#124	—	2	1	no	—
1184	#124	—	5	1	no	—
1185	#124	—	5	1	no	—
1186	#124	—	10	1	no	—
1187	#124	—	10	1	no	—
1188	#124	C₂²×D₅	1	1	yes	characteristic
1189	#123	—	2	1	no	—
1190	#123	—	2	1	no	—
1191	#123	—	2	1	no	—
1192	#123	—	2	1	no	—
1193	#123	—	2	1	no	—
1194	#123	—	2	1	no	—
1195	#123	—	2	1	no	—
1196	#123	—	10	1	no	—
1197	#123	—	10	1	no	—
1198	#123	—	10	1	no	—
1199	#123	—	10	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	C₂²⋊Q₈	—	2	1	no	—
1203	C₂²⋊Q₈	—	2	1	no	—
1204	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	5	1	no	—
1207	C₂²⋊Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1213	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1215	#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	—	5	1	no	—
1231	#121	—	5	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	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
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	#121	C₂²×D₅	1	1	yes	characteristic
1248	#121	C₂²×D₅	1	1	yes	characteristic
1249	#121	C₂²×D₅	1	1	yes	characteristic
1250	#121	C₂²×D₅	1	1	yes	characteristic
1251	#120	—	2	1	no	—
1252	#120	—	2	1	no	—
1253	#120	—	2	1	no	—
1254	#120	—	2	1	no	—
1255	#120	—	2	1	no	—
1256	#120	—	2	1	no	—
1257	#120	—	10	1	no	—
1258	#120	—	10	1	no	—
1259	#120	—	10	1	no	—
1260	#120	—	10	1	no	—
1261	#120	—	10	1	no	—
1262	#120	—	10	1	no	—
1263	C₄×Q₈	—	5	1	no	—
1264	C₄×Q₈	—	5	1	no	—
1265	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1266	C₄×D₄	—	2	1	no	—
1267	C₄×D₄	—	2	1	no	—
1268	C₄×D₄	—	2	1	no	—
1269	C₄×D₄	—	2	1	no	—
1270	C₄×D₄	—	2	1	no	—
1271	C₄×D₄	—	2	1	no	—
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	5	1	no	—
1277	C₄×D₄	—	5	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	C₄×D₄	—	10	1	no	—
1282	C₄×D₄	—	10	1	no	—
1283	C₄×D₄	—	10	1	no	—
1284	C₄×D₄	—	10	1	no	—
1285	C₄×D₄	—	10	1	no	—
1286	C₄×D₄	—	10	1	no	—
1287	C₄×D₄	—	10	1	no	—
1288	C₄×D₄	—	10	1	no	—
1289	C₄×D₄	—	10	1	no	—
1290	C₄×D₄	C₂²⋊D₅	1	1	yes	characteristic
1291	C₄×D₄	C₂²⋊D₅	1	1	yes	characteristic
1292	C₄×D₄	C₂²⋊D₅	1	1	yes	characteristic
1293	C₄×D₄	C₂²⋊D₅	1	1	yes	characteristic
1294	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1295	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1296	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1297	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1298	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1299	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1300	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1301	#117	—	2	1	no	—
1302	#117	—	2	1	no	—
1303	#117	—	5	1	no	—
1304	#117	—	10	1	no	—
1305	#117	C₂²×D₅	1	1	yes	characteristic
1306	#117	C₂²×D₅	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	—	10	1	no	—
1308	C₂×C₄⋊C₄	C₂²⋊D₅	1	1	yes	characteristic
1309	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1310	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1311	C₂×C₂²⋊C₄	—	2	1	no	—
1312	C₂×C₂²⋊C₄	—	2	1	no	—
1313	C₂×C₂²⋊C₄	—	2	1	no	—
1314	C₂×C₂²⋊C₄	—	2	1	no	—
1315	C₂×C₂²⋊C₄	—	10	1	no	—
1316	C₂×C₂²⋊C₄	—	10	1	no	—
1317	C₂×C₂²⋊C₄	C₂²⋊D₅	1	1	yes	characteristic
1318	C₂×C₂²⋊C₄	C₂²⋊D₅	1	1	yes	characteristic
1319	C₂×C₄²	—	10	1	no	—
1320	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1321	#107	—	5	1	no	—
1322	#107	—	5	1	no	—
1323	#107	—	5	1	no	—
1324	#107	—	5	1	no	—
1325	#106	—	5	1	no	—
1326	#106	—	5	1	no	—
1327	#106	—	5	1	no	—
1328	#106	—	5	1	no	—
1329	C₄⋊C₈	—	5	1	no	—
1330	C₄⋊C₈	—	5	1	no	—
1331	C₄⋊C₈	—	5	1	no	—
1332	C₄⋊C₈	—	5	1	no	—
1333	#103	—	5	1	no	—
1334	#103	—	5	1	no	—
1335	#103	—	5	1	no	—
1336	#103	—	5	1	no	—
1337	#103	—	5	1	no	—
1338	#103	—	5	1	no	—
1339	#103	—	5	1	no	—
1340	#103	—	5	1	no	—
1341	#103	—	5	1	no	—
1342	#103	—	5	1	no	—
1343	#103	—	5	1	no	—
1344	#103	—	5	1	no	—
1345	#103	—	5	1	no	—
1346	#103	—	5	1	no	—
1347	#102	—	5	1	no	—
1348	#102	—	5	1	no	—
1349	#102	—	5	1	no	—
1350	#102	—	5	1	no	—
1351	#102	—	5	1	no	—
1352	#102	—	5	1	no	—
1353	#102	—	5	1	no	—
1354	#102	—	5	1	no	—
1355	#102	—	5	1	no	—
1356	#102	—	5	1	no	—
1357	#102	—	5	1	no	—
1358	#102	—	5	1	no	—
1359	#102	—	5	1	no	—
1360	#102	—	5	1	no	—
1361	#102	—	5	1	no	—
1362	#102	—	5	1	no	—
1363	#102	—	5	1	no	—
1364	#102	—	5	1	no	—
1365	C₂²⋊C₈	—	5	1	no	—
1366	C₂²⋊C₈	—	5	1	no	—
1367	C₂²⋊C₈	—	5	1	no	—
1368	C₂²⋊C₈	—	5	1	no	—
1369	C₂²⋊C₈	—	5	1	no	—
1370	C₂²⋊C₈	—	5	1	no	—
1371	C₂²⋊C₈	—	5	1	no	—
1372	C₂²⋊C₈	—	5	1	no	—
1373	C₂²⋊C₈	—	5	1	no	—
1374	C₂²⋊C₈	—	5	1	no	—
1375	C₂²⋊C₈	—	5	1	no	—
1376	C₂²⋊C₈	—	5	1	no	—
1377	#97	—	5	1	no	—
1378	#97	—	5	1	no	—
1379	#97	—	5	1	no	—
1380	#97	—	5	1	no	—
1381	C₂²×C₅	—	2	1	no	—
1382	C₂²×C₅	—	2	1	no	—
1383	C₂²×C₅	—	2	1	no	—
1384	C₂²×C₅	—	2	1	no	—
1385	C₂²×C₅	—	2	1	no	—
1386	C₂²×C₅	—	2	1	no	—
1387	C₂²×C₅	—	2	1	no	—
1388	C₂²×C₅	—	2	1	no	—
1389	C₂²×C₅	—	2	1	no	—
1390	C₂²×C₅	—	2	1	no	—
1391	C₂²×C₅	—	2	1	no	—
1392	C₂²×C₅	—	2	1	no	—
1393	C₂²×C₅	—	2	1	no	—
1394	C₂²×C₅	—	2	1	no	—
1395	C₂²×C₅	—	4	1	no	—
1396	C₂²×C₅	—	4	1	no	—
1397	C₂²×C₅	—	4	1	no	—
1398	C₂²×C₅	—	4	1	no	—
1399	C₂²×C₅	—	4	1	no	—
1400	C₂²×C₅	—	4	1	no	—
1401	C₂²×C₅	—	4	1	no	—
1402	C₂²×C₅	—	4	1	no	—
1403	C₂²×C₅	—	4	1	no	—
1404	C₂²×C₅	—	8	2	no	—
1405	C₂²×C₅	—	8	2	no	—
1406	C₂²×C₅	—	16	2	no	—
1407	C₂²×C₅	—	16	2	no	—
1408	C₂²×C₅	#575	1	2	yes	—
1409	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1410	C₂×D₅	—	2	2	no	—
1411	C₂×D₅	—	4	1	no	—
1412	C₂×D₅	—	4	1	no	—
1413	C₂×D₅	—	4	1	no	—
1414	C₂×D₅	—	4	1	no	—
1415	C₂×D₅	—	4	1	no	—
1416	C₂×D₅	—	4	1	no	—
1417	C₂×D₅	—	4	1	no	—
1418	C₂×D₅	—	4	1	no	—
1419	C₂×D₅	—	8	4	no	—
1420	C₂×D₅	—	8	4	no	—
1421	C₄×C₅	—	2	1	no	—
1422	C₄×C₅	—	2	1	no	—
1423	C₄×C₅	—	2	1	no	—
1424	C₄×C₅	—	2	1	no	—
1425	C₄×C₅	—	2	1	no	—
1426	C₄×C₅	—	2	1	no	—
1427	C₄×C₅	—	2	1	no	—
1428	C₄×C₅	—	2	1	no	—
1429	C₄×C₅	—	2	1	no	—
1430	C₄×C₅	—	4	1	no	—
1431	C₄×C₅	—	4	1	no	—
1432	C₄×C₅	—	4	1	no	—
1433	C₄×C₅	—	4	1	no	—
1434	C₄×C₅	—	4	1	no	—
1435	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1436	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1437	Dic₅	—	2	2	no	—
1438	Dic₅	—	4	1	no	—
1439	Dic₅	—	4	1	no	—
1440	Dic₅	—	4	1	no	—
1441	Dic₅	—	4	1	no	—
1442	C₂⁴	—	2	1	no	—
1443	C₂⁴	—	2	1	no	—
1444	C₂⁴	—	10	1	no	—
1445	C₂⁴	—	10	1	no	—
1446	C₂⁴	C₂×C₂²⋊D₅	1	1	yes	characteristic
1447	C₂⁴	C₂×C₂²⋊D₅	1	1	yes	characteristic
1448	#41	—	4	1	no	—
1449	#41	—	4	1	no	—
1450	#41	—	4	1	no	—
1451	#41	—	4	1	no	—
1452	#41	—	8	2	no	—
1453	#41	—	10	2	no	—
1454	#41	—	10	2	no	—
1455	#41	—	10	2	no	—
1456	#41	—	10	2	no	—
1457	#41	—	10	2	no	—
1458	#41	—	10	2	no	—
1459	#41	—	20	1	no	—
1460	#41	—	20	1	no	—
1461	#41	—	20	1	no	—
1462	#41	—	20	1	no	—
1463	#41	—	20	1	no	—
1464	#41	—	20	1	no	—
1465	#41	—	20	1	no	—
1466	#41	—	20	1	no	—
1467	#41	—	20	4	no	—
1468	#41	—	20	4	no	—
1469	#41	—	20	4	no	—
1470	#41	—	20	4	no	—
1471	C₂×Q₈	—	2	1	no	—
1472	C₂×Q₈	—	5	1	no	—
1473	C₂×Q₈	—	5	1	no	—
1474	C₂×Q₈	—	5	1	no	—
1475	C₂×Q₈	—	10	2	no	—
1476	C₂×Q₈	—	10	2	no	—
1477	C₂×Q₈	—	10	1	no	—
1478	C₂×Q₈	—	10	1	no	—
1479	C₂×Q₈	—	20	1	no	—
1480	C₂×Q₈	—	20	1	no	—
1481	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1482	C₂×D₄	—	2	1	no	—
1483	C₂×D₄	—	2	1	no	—
1484	C₂×D₄	—	2	1	no	—
1485	C₂×D₄	—	2	1	no	—
1486	C₂×D₄	—	2	1	no	—
1487	C₂×D₄	—	2	1	no	—
1488	C₂×D₄	—	2	1	no	—
1489	C₂×D₄	—	2	1	no	—
1490	C₂×D₄	—	2	1	no	—
1491	C₂×D₄	—	2	1	no	—
1492	C₂×D₄	—	2	1	no	—
1493	C₂×D₄	—	2	1	no	—
1494	C₂×D₄	—	2	1	no	—
1495	C₂×D₄	—	2	1	no	—
1496	C₂×D₄	—	2	1	no	—
1497	C₂×D₄	—	4	1	no	—
1498	C₂×D₄	—	4	1	no	—
1499	C₂×D₄	—	4	1	no	—
1500	C₂×D₄	—	4	1	no	—
1501	C₂×D₄	—	4	2	no	—
1502	C₂×D₄	—	4	4	no	—
1503	C₂×D₄	—	5	1	no	—
1504	C₂×D₄	—	5	1	no	—
1505	C₂×D₄	—	5	1	no	—
1506	C₂×D₄	—	8	2	no	—
1507	C₂×D₄	—	8	2	no	—
1508	C₂×D₄	—	10	2	no	—
1509	C₂×D₄	—	10	2	no	—
1510	C₂×D₄	—	10	1	no	—
1511	C₂×D₄	—	10	1	no	—
1512	C₂×D₄	—	10	1	no	—
1513	C₂×D₄	—	10	1	no	—
1514	C₂×D₄	—	10	1	no	—
1515	C₂×D₄	—	10	1	no	—
1516	C₂×D₄	—	10	1	no	—
1517	C₂×D₄	—	10	1	no	—
1518	C₂×D₄	—	10	1	no	—
1519	C₂×D₄	—	10	1	no	—
1520	C₂×D₄	—	10	1	no	—
1521	C₂×D₄	—	10	1	no	—
1522	C₂×D₄	—	10	1	no	—
1523	C₂×D₄	—	10	1	no	—
1524	C₂×D₄	—	10	1	no	—
1525	C₂×D₄	—	20	1	no	—
1526	C₂×D₄	—	20	1	no	—
1527	C₂×D₄	—	20	4	no	—
1528	C₂×D₄	—	20	4	no	—
1529	C₂×D₄	—	20	4	no	—
1530	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1531	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1532	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1533	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1534	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1535	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1536	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1537	C₂²×C₄	—	2	1	no	—
1538	C₂²×C₄	—	2	1	no	—
1539	C₂²×C₄	—	2	1	no	—
1540	C₂²×C₄	—	2	1	no	—
1541	C₂²×C₄	—	2	1	no	—
1542	C₂²×C₄	—	2	1	no	—
1543	C₂²×C₄	—	2	1	no	—
1544	C₂²×C₄	—	4	1	no	—
1545	C₂²×C₄	—	4	1	no	—
1546	C₂²×C₄	—	4	1	no	—
1547	C₂²×C₄	—	4	1	no	—
1548	C₂²×C₄	—	10	1	no	—
1549	C₂²×C₄	—	10	1	no	—
1550	C₂²×C₄	—	10	1	no	—
1551	C₂²×C₄	—	10	1	no	—
1552	C₂²×C₄	—	10	1	no	—
1553	C₂²×C₄	—	10	1	no	—
1554	C₂²×C₄	—	10	1	no	—
1555	C₂²×C₄	—	10	1	no	—
1556	C₂²×C₄	—	10	1	no	—
1557	C₂²×C₄	—	10	1	no	—
1558	C₂²×C₄	—	10	1	no	—
1559	C₂²×C₄	—	20	4	no	—
1560	C₂²×C₄	—	20	4	no	—
1561	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1562	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1563	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1564	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1565	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1566	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1567	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1568	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1569	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1570	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1571	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1572	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1573	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1574	Q₁₆	—	10	2	no	—
1575	Q₁₆	—	20	1	no	—
1576	Q₁₆	—	20	1	no	—
1577	SD₁₆	—	10	2	no	—
1578	SD₁₆	—	10	2	no	—
1579	SD₁₆	—	10	2	no	—
1580	SD₁₆	—	10	2	no	—
1581	SD₁₆	—	20	1	no	—
1582	SD₁₆	—	20	1	no	—
1583	SD₁₆	—	20	1	no	—
1584	SD₁₆	—	20	1	no	—
1585	SD₁₆	—	20	1	no	—
1586	SD₁₆	—	20	1	no	—
1587	SD₁₆	—	20	1	no	—
1588	SD₁₆	—	20	1	no	—
1589	D₈	—	10	2	no	—
1590	D₈	—	10	2	no	—
1591	D₈	—	10	2	no	—
1592	D₈	—	20	1	no	—
1593	D₈	—	20	1	no	—
1594	D₈	—	20	1	no	—
1595	D₈	—	20	1	no	—
1596	D₈	—	20	1	no	—
1597	D₈	—	20	1	no	—
1598	M₁₆	—	20	1	no	—
1599	M₁₆	—	20	1	no	—
1600	M₁₆	—	20	1	no	—
1601	M₁₆	—	20	1	no	—
1602	C₂×C₈	—	5	1	no	—
1603	C₂×C₈	—	5	1	no	—
1604	C₂×C₈	—	5	1	no	—
1605	C₂×C₈	—	5	1	no	—
1606	C₂×C₈	—	5	1	no	—
1607	C₂×C₈	—	5	1	no	—
1608	C₂×C₈	—	5	1	no	—
1609	C₂×C₈	—	5	1	no	—
1610	C₂×C₈	—	20	1	no	—
1611	C₂×C₈	—	20	1	no	—
1612	C₂×C₈	—	20	1	no	—
1613	C₂×C₈	—	20	1	no	—
1614	C₄⋊C₄	—	2	1	no	—
1615	C₄⋊C₄	—	2	1	no	—
1616	C₄⋊C₄	—	2	1	no	—
1617	C₄⋊C₄	—	2	1	no	—
1618	C₄⋊C₄	—	2	1	no	—
1619	C₄⋊C₄	—	2	1	no	—
1620	C₄⋊C₄	—	2	1	no	—
1621	C₄⋊C₄	—	2	1	no	—
1622	C₄⋊C₄	—	2	1	no	—
1623	C₄⋊C₄	—	5	1	no	—
1624	C₄⋊C₄	—	5	1	no	—
1625	C₄⋊C₄	—	10	1	no	—
1626	C₄⋊C₄	—	10	1	no	—
1627	C₄⋊C₄	—	10	1	no	—
1628	C₄⋊C₄	—	10	1	no	—
1629	C₄⋊C₄	—	10	1	no	—
1630	C₄⋊C₄	—	10	1	no	—
1631	C₄⋊C₄	—	10	1	no	—
1632	C₄⋊C₄	—	10	1	no	—
1633	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1634	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1635	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1636	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1637	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1638	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1639	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1640	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1641	C₂²⋊C₄	—	2	1	no	—
1642	C₂²⋊C₄	—	2	1	no	—
1643	C₂²⋊C₄	—	2	1	no	—
1644	C₂²⋊C₄	—	2	1	no	—
1645	C₂²⋊C₄	—	2	1	no	—
1646	C₂²⋊C₄	—	2	1	no	—
1647	C₂²⋊C₄	—	2	1	no	—
1648	C₂²⋊C₄	—	2	1	no	—
1649	C₂²⋊C₄	—	2	1	no	—
1650	C₂²⋊C₄	—	2	1	no	—
1651	C₂²⋊C₄	—	2	1	no	—
1652	C₂²⋊C₄	—	2	1	no	—
1653	C₂²⋊C₄	—	2	1	no	—
1654	C₂²⋊C₄	—	2	1	no	—
1655	C₂²⋊C₄	—	2	1	no	—
1656	C₂²⋊C₄	—	2	1	no	—
1657	C₂²⋊C₄	—	2	1	no	—
1658	C₂²⋊C₄	—	2	1	no	—
1659	C₂²⋊C₄	—	2	1	no	—
1660	C₂²⋊C₄	—	10	1	no	—
1661	C₂²⋊C₄	—	10	1	no	—
1662	C₂²⋊C₄	—	10	1	no	—
1663	C₂²⋊C₄	—	10	1	no	—
1664	C₂²⋊C₄	—	10	1	no	—
1665	C₂²⋊C₄	—	10	1	no	—
1666	C₂²⋊C₄	—	10	1	no	—
1667	C₂²⋊C₄	—	10	1	no	—
1668	C₂²⋊C₄	—	10	1	no	—
1669	C₂²⋊C₄	—	10	1	no	—
1670	C₂²⋊C₄	—	10	1	no	—
1671	C₂²⋊C₄	—	10	1	no	—
1672	C₂²⋊C₄	—	10	1	no	—
1673	C₂²⋊C₄	—	10	1	no	—
1674	C₂²⋊C₄	—	10	1	no	—
1675	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1676	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1677	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1678	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1679	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1680	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1681	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1682	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1683	C₄²	—	2	1	no	—
1684	C₄²	—	2	1	no	—
1685	C₄²	—	2	1	no	—
1686	C₄²	—	10	1	no	—
1687	C₄²	—	10	1	no	—
1688	C₄²	—	10	1	no	—
1689	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1690	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1691	C₄²	C₂³×D₅	1	1	yes	characteristic
1692	C₄²	C₂³×D₅	1	1	yes	characteristic
1693	C₂×C₅	—	2	2	no	—
1694	C₂×C₅	—	4	1	no	—
1695	C₂×C₅	—	4	1	no	—
1696	C₂×C₅	—	4	1	no	—
1697	C₂×C₅	—	4	1	no	—
1698	C₂×C₅	—	8	1	no	—
1699	C₂×C₅	—	8	1	no	—
1700	C₂×C₅	—	8	1	no	—
1701	C₂×C₅	#3484	1	1	yes	characteristic
1702	C₂×C₅	C₂×#575	1	1	yes	characteristic
1703	C₂×C₅	#3585	1	1	yes	characteristic
1704	D₅	—	4	2	no	—
1705	D₅	—	8	1	no	—
1706	D₅	—	8	1	no	—
1707	C₂³	—	2	2	no	—
1708	C₂³	—	2	1	no	—
1709	C₂³	—	2	1	no	—
1710	C₂³	—	2	1	no	—
1711	C₂³	—	4	1	no	—
1712	C₂³	—	4	1	no	—
1713	C₂³	—	4	1	no	—
1714	C₂³	—	4	1	no	—
1715	C₂³	—	4	1	no	—
1716	C₂³	—	4	2	no	—
1717	C₂³	—	4	2	no	—
1718	C₂³	—	8	1	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	8	1	no	—
1722	C₂³	—	10	1	no	—
1723	C₂³	—	10	1	no	—
1724	C₂³	—	10	1	no	—
1725	C₂³	—	20	2	no	—
1726	C₂³	—	20	2	no	—
1727	C₂³	—	20	2	no	—
1728	C₂³	—	20	2	no	—
1729	C₂³	—	40	1	no	—
1730	C₂³	—	40	1	no	—
1731	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1732	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1733	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1734	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1735	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1736	Q₈	—	2	1	no	—
1737	Q₈	—	2	1	no	—
1738	Q₈	—	5	2	no	—
1739	Q₈	—	8	1	no	—
1740	Q₈	—	10	1	no	—
1741	Q₈	—	10	1	no	—
1742	Q₈	—	10	1	no	—
1743	Q₈	—	10	1	no	—
1744	Q₈	—	10	1	no	—
1745	Q₈	—	20	2	no	—
1746	Q₈	—	20	2	no	—
1747	D₄	—	2	2	no	—
1748	D₄	—	2	2	no	—
1749	D₄	—	2	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	2	1	no	—
1755	D₄	—	4	1	no	—
1756	D₄	—	4	1	no	—
1757	D₄	—	4	2	no	—
1758	D₄	—	4	2	no	—
1759	D₄	—	4	2	no	—
1760	D₄	—	4	2	no	—
1761	D₄	—	4	2	no	—
1762	D₄	—	4	2	no	—
1763	D₄	—	5	2	no	—
1764	D₄	—	8	1	no	—
1765	D₄	—	8	1	no	—
1766	D₄	—	8	1	no	—
1767	D₄	—	8	1	no	—
1768	D₄	—	8	1	no	—
1769	D₄	—	8	1	no	—
1770	D₄	—	8	1	no	—
1771	D₄	—	8	1	no	—
1772	D₄	—	8	1	no	—
1773	D₄	—	10	4	no	—
1774	D₄	—	10	1	no	—
1775	D₄	—	10	1	no	—
1776	D₄	—	10	1	no	—
1777	D₄	—	10	1	no	—
1778	D₄	—	10	1	no	—
1779	D₄	—	20	2	no	—
1780	D₄	—	20	2	no	—
1781	D₄	—	20	2	no	—
1782	D₄	—	20	2	no	—
1783	D₄	—	20	2	no	—
1784	D₄	—	20	2	no	—
1785	D₄	—	20	2	no	—
1786	D₄	—	20	2	no	—
1787	D₄	—	20	2	no	—
1788	D₄	—	20	2	no	—
1789	D₄	—	20	2	no	—
1790	D₄	—	40	1	no	—
1791	D₄	—	40	1	no	—
1792	D₄	—	40	1	no	—
1793	C₂×C₄	—	2	1	no	—
1794	C₂×C₄	—	2	1	no	—
1795	C₂×C₄	—	2	1	no	—
1796	C₂×C₄	—	2	1	no	—
1797	C₂×C₄	—	2	1	no	—
1798	C₂×C₄	—	2	1	no	—
1799	C₂×C₄	—	2	1	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	4	1	no	—
1809	C₂×C₄	—	4	1	no	—
1810	C₂×C₄	—	4	1	no	—
1811	C₂×C₄	—	4	1	no	—
1812	C₂×C₄	—	4	1	no	—
1813	C₂×C₄	—	4	1	no	—
1814	C₂×C₄	—	4	1	no	—
1815	C₂×C₄	—	4	1	no	—
1816	C₂×C₄	—	4	2	no	—
1817	C₂×C₄	—	8	1	no	—
1818	C₂×C₄	—	8	1	no	—
1819	C₂×C₄	—	8	1	no	—
1820	C₂×C₄	—	8	1	no	—
1821	C₂×C₄	—	8	1	no	—
1822	C₂×C₄	—	8	1	no	—
1823	C₂×C₄	—	10	4	no	—
1824	C₂×C₄	—	10	1	no	—
1825	C₂×C₄	—	10	1	no	—
1826	C₂×C₄	—	10	1	no	—
1827	C₂×C₄	—	10	1	no	—
1828	C₂×C₄	—	10	1	no	—
1829	C₂×C₄	—	20	2	no	—
1830	C₂×C₄	—	20	2	no	—
1831	C₂×C₄	—	20	2	no	—
1832	C₂×C₄	—	20	2	no	—
1833	C₂×C₄	—	20	2	no	—
1834	C₂×C₄	—	20	2	no	—
1835	C₂×C₄	—	20	2	no	—
1836	C₂×C₄	—	20	2	no	—
1837	C₂×C₄	—	20	2	no	—
1838	C₂×C₄	—	40	1	no	—
1839	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1840	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1841	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1842	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1843	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1844	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1845	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1846	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1847	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1848	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1849	C₈	—	10	1	no	—
1850	C₈	—	10	1	no	—
1851	C₈	—	10	1	no	—
1852	C₈	—	10	1	no	—
1853	C₈	—	10	1	no	—
1854	C₈	—	10	1	no	—
1855	C₈	—	10	1	no	—
1856	C₈	—	10	1	no	—
1857	C₅	#61579	1	1	yes	characteristic, complemented, Sylow
1858	C₂²	—	2	1	no	—
1859	C₂²	—	2	1	no	—
1860	C₂²	—	2	1	no	—
1861	C₂²	—	2	1	no	—
1862	C₂²	—	2	1	no	—
1863	C₂²	—	2	1	no	—
1864	C₂²	—	2	1	no	—
1865	C₂²	—	2	1	no	—
1866	C₂²	—	2	1	no	—
1867	C₂²	—	2	1	no	—
1868	C₂²	—	2	1	no	—
1869	C₂²	—	2	1	no	—
1870	C₂²	—	2	1	no	—
1871	C₂²	—	2	1	no	—
1872	C₂²	—	4	1	no	—
1873	C₂²	—	4	1	no	—
1874	C₂²	—	4	1	no	—
1875	C₂²	—	4	1	no	—
1876	C₂²	—	4	1	no	—
1877	C₂²	—	4	1	no	—
1878	C₂²	—	4	1	no	—
1879	C₂²	—	4	1	no	—
1880	C₂²	—	4	1	no	—
1881	C₂²	—	8	2	no	—
1882	C₂²	—	8	2	no	—
1883	C₂²	—	10	2	no	—
1884	C₂²	—	16	2	no	—
1885	C₂²	—	16	2	no	—
1886	C₂²	—	20	1	no	—
1887	C₂²	—	20	1	no	—
1888	C₂²	—	20	1	no	—
1889	C₂²	—	20	1	no	—
1890	C₂²	—	20	1	no	—
1891	C₂²	—	20	1	no	—
1892	C₂²	—	20	1	no	—
1893	C₂²	—	20	1	no	—
1894	C₂²	—	40	4	no	—
1895	C₂²	—	40	4	no	—
1896	C₂²	#66156	1	2	yes	—
1897	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1898	C₄	—	2	1	no	—
1899	C₄	—	2	1	no	—
1900	C₄	—	2	1	no	—
1901	C₄	—	2	1	no	—
1902	C₄	—	2	1	no	—
1903	C₄	—	2	1	no	—
1904	C₄	—	2	1	no	—
1905	C₄	—	2	1	no	—
1906	C₄	—	2	1	no	—
1907	C₄	—	4	1	no	—
1908	C₄	—	4	1	no	—
1909	C₄	—	4	1	no	—
1910	C₄	—	4	1	no	—
1911	C₄	—	4	1	no	—
1912	C₄	—	10	2	no	—
1913	C₄	—	20	1	no	—
1914	C₄	—	20	1	no	—
1915	C₄	—	20	1	no	—
1916	C₄	—	20	1	no	—
1917	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1918	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1919	C₂	—	2	2	no	—
1920	C₂	—	4	1	no	—
1921	C₂	—	4	1	no	—
1922	C₂	—	4	1	no	—
1923	C₂	—	4	1	no	—
1924	C₂	—	8	1	no	—
1925	C₂	—	8	1	no	—
1926	C₂	—	8	1	no	—
1927	C₂	—	20	2	no	—
1928	C₂	—	40	1	no	—
1929	C₂	—	40	1	no	—
1930	C₂	C₂×#66156	1	1	yes	characteristic
1931	C₂	#10619178	1	1	yes	characteristic
1932	C₂	#10619185	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×#3519	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3519	D₅
hypocenter	C₅	#61579
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3519

Complements

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

N	H ≅ G/N	type
1. C₅×#3519	C₂	semidirect
2. D₄×#709	C₂	semidirect
3. #10615387	C₂	semidirect
4. #10615384	C₂	semidirect
5. #10615372	C₂	semidirect
6. #10615366	C₂	semidirect
7. #10615351	C₂	semidirect
8. #10615350	C₂	semidirect
9. #10615347	C₂	semidirect
10. #10615346	C₂	semidirect
11. #10615314	C₂	semidirect
12. #10615308	C₂	semidirect
13. #10615238	C₂	semidirect
14. #10615237	C₂	semidirect
15. #10615234	C₂	semidirect
16. #10615233	C₂	semidirect
17. #10615222	C₂	semidirect
18. #10615219	C₂	semidirect
19. #10615039	C₂	semidirect
20. #10615032	C₂	semidirect
21. #10614878	C₂	semidirect
22. #10614873	C₂	semidirect
23. #10614663	C₂	semidirect
24. #10614661	C₂	semidirect
25. #10614659	C₂	semidirect
26. #10614657	C₂	semidirect
27. #10614359	C₂	semidirect
28. #10614357	C₂	semidirect
29. #10614355	C₂	semidirect
30. C₂×#65326	C₂	semidirect
31. #10614033	C₂	semidirect
32. C₂²×#709	C₂²	semidirect
33. C₂²×#709	C₂²	semidirect
34. C₅×#555	C₂²	semidirect
35. C₅×#554	C₂²	semidirect
38. C₅×#553	C₂²	semidirect
39. C₅×#550	C₂²	semidirect
43. C₅×#546	C₂²	semidirect
45. C₅×D₄²	C₂²	semidirect
49. C₅×#532	C₂²	semidirect
50. C₅×#529	C₂²	semidirect
51. C₅×#525	C₂²	semidirect
52. C₅×#525	C₂²	semidirect
53. C₂×C₅×#121	C₂²	semidirect
54. C₂×C₅×#121	C₂²	semidirect
57. C₂×#4097	C₂²	semidirect
58. C₂×#4096	C₂²	semidirect
59. C₂×#4096	C₂²	semidirect
60. C₂×#4095	C₂²	semidirect
62. C₂²×#687	C₂²	semidirect
63. C₂×#4078	C₂²	semidirect
64. C₂×#4078	C₂²	semidirect
65. C₂²×#686	C₂²	semidirect
66. #66125	C₂²	semidirect
67. #66125	C₂²	semidirect
68. #65887	C₂²	semidirect
70. #65886	C₂²	semidirect
71. #65885	C₂²	semidirect
73. #65884	C₂²	semidirect
74. D₄×D₂₀	C₂²	semidirect
79. D₄×Dic₁₀	C₂²	semidirect
83. #65811	C₂²	semidirect
84. C₄×#709	C₂²	semidirect
85. #65528	C₂²	semidirect
86. #65528	C₂²	semidirect
87. #65527	C₂²	semidirect
88. #65527	C₂²	semidirect
89. #65507	C₂²	semidirect
90. #65507	C₂²	semidirect
91. #65506	C₂²	semidirect
92. #65506	C₂²	semidirect
93. #65496	C₂²	semidirect
94. #65496	C₂²	semidirect
95. C₂×C₂²⋊#168	C₂²	semidirect
96. C₂×C₂²⋊#168	C₂²	semidirect
97. #65383	C₂²	semidirect
98. #65378	C₂²	semidirect
99. #65378	C₂²	semidirect
100. #65376	C₂²	semidirect
101. #65364	C₂²	semidirect
102. #65363	C₂²	semidirect
103. #65363	C₂²	semidirect
104. #65361	C₂²	semidirect
105. #65358	C₂²	semidirect
106. #65356	C₂²	semidirect
107. #65355	C₂²	semidirect
108. #65352	C₂²	semidirect
109. #65349	C₂²	semidirect
110. #65347	C₂²	semidirect
111. #65346	C₂²	semidirect
112. #65343	C₂²	semidirect
113. #65341	C₂²	semidirect
114. #65340	C₂²	semidirect
115. #65339	C₂²	semidirect
116. #65338	C₂²	semidirect
117. #65337	C₂²	semidirect
118. #65336	C₂²	semidirect
119. #65336	C₂²	semidirect
120. #65336	C₂²	semidirect
121. #65336	C₂²	semidirect
122. #65336	C₂²	semidirect
123. #65335	C₂²	semidirect
124. #65334	C₂²	semidirect
125. #65331	C₂²	semidirect
126. #65331	C₂²	semidirect
127. #65331	C₂²	semidirect
128. #65330	C₂²	semidirect
129. #65330	C₂²	semidirect
130. #65330	C₂²	semidirect
131. #65329	C₂²	semidirect
132. #65329	C₂²	semidirect
133. #65329	C₂²	semidirect
134. #65328	C₂²	semidirect
135. #65328	C₂²	semidirect
136. #65328	C₂²	semidirect
137. #65327	C₂²	semidirect
138. #65327	C₂²	semidirect
139. #65327	C₂²	semidirect
141. #65326	C₂²	semidirect
142. #65326	C₂²	semidirect
143. #65326	C₂²	semidirect
144. #65326	C₂²	semidirect
145. #65326	C₂²	semidirect
146. #65326	C₂²	semidirect
147. #65326	C₂²	semidirect
148. #65326	C₂²	semidirect
149. #65326	C₂²	semidirect
150. #65326	C₂²	semidirect
151. #65326	C₂²	semidirect
152. #65326	C₂²	semidirect
153. #65326	C₂²	semidirect
154. #65326	C₂²	semidirect
155. #65325	C₂²	semidirect
156. #65325	C₂²	semidirect
157. #65325	C₂²	semidirect
158. #65324	C₂²	semidirect
159. #65324	C₂²	semidirect
160. #65324	C₂²	semidirect
161. #65319	C₂²	semidirect
162. #65317	C₂²	semidirect
163. #65317	C₂²	semidirect
164. #65315	C₂²	semidirect
165. #65308	C₂²	semidirect
166. #65308	C₂²	semidirect
167. #65307	C₂²	semidirect
168. #65307	C₂²	semidirect
169. #65307	C₂²	semidirect
170. #65305	C₂²	semidirect
171. #65305	C₂²	semidirect
172. #65304	C₂²	semidirect
173. #65304	C₂²	semidirect
174. #65303	C₂²	semidirect
175. #65303	C₂²	semidirect
176. #65303	C₂²	semidirect
177. #65300	C₂²	semidirect
178. #65300	C₂²	semidirect
179. #65300	C₂²	semidirect
180. #65300	C₂²	semidirect
181. #65300	C₂²	semidirect
182. #65300	C₂²	semidirect
183. #65300	C₂²	semidirect
184. #65300	C₂²	semidirect
185. #65293	C₂²	semidirect
186. #65292	C₂²	semidirect
187. #65292	C₂²	semidirect
188. #65291	C₂²	semidirect
189. #65291	C₂²	semidirect
190. #65290	C₂²	semidirect
191. #65285	C₂²	semidirect
192. #65285	C₂²	semidirect
193. #65260	C₂²	semidirect
194. #65259	C₂²	semidirect
195. C₂×#3942	C₂²	semidirect
196. #65257	C₂²	semidirect
197. #65256	C₂²	semidirect
198. #65255	C₂²	semidirect
199. #65255	C₂²	semidirect
200. C₂×#3941	C₂²	semidirect
201. #65215	C₂²	semidirect
202. #65215	C₂²	semidirect
491. #3519	D₅	semidirect
783. #555	C₂×D₅	semidirect
784. #554	C₂×D₅	semidirect
787. #553	C₂×D₅	semidirect
789. #550	C₂×D₅	semidirect
802. #546	C₂×D₅	semidirect
806. D₄²	C₂×D₅	semidirect
812. #532	C₂×D₅	semidirect
813. #529	C₂×D₅	semidirect
818. #525	C₂×D₅	semidirect
819. #525	C₂×D₅	semidirect
820. C₂×#121	C₂×D₅	semidirect
821. C₂×#121	C₂×D₅	semidirect
1857. C₅	#61579	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3519	2
D₄×#709	2
#10615387	2
#10615384	2
#10615372	2
#10615366	2
#10615351	2
#10615350	2
#10615347	2
#10615346	2
#10615314	2
#10615308	2
#10615238	2
#10615237	2
#10615234	2
#10615233	2
#10615222	2
#10615219	2
#10615039	2
#10615032	2
#10614878	2
#10614873	2
#10614663	2
#10614661	2
#10614659	2
#10614657	2
#10614359	2
#10614357	2
#10614355	2
C₂×#65326	2
#10614033	2
#61579	5