Subgroups — #12981976

Order 1280.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×#3524	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618071	C₂	1	1	yes	maximal, characteristic, complemented
3	#10615445	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615441	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615431	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615424	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615384	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615377	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615348	C₂	1	1	yes	maximal, characteristic, complemented
10	#10615337	C₂	1	1	yes	maximal, characteristic, complemented
11	#10615331	C₂	1	1	yes	maximal, characteristic, complemented
12	#10615322	C₂	1	1	yes	maximal, characteristic, complemented
13	#10615310	C₂	1	1	yes	maximal, characteristic, complemented
14	#10615303	C₂	1	1	yes	maximal, characteristic, complemented
15	#10615276	C₂	1	1	yes	maximal, characteristic, complemented
16	#10615276	C₂	1	1	yes	maximal, characteristic, complemented
17	#10615272	C₂	1	1	yes	maximal, characteristic, complemented
18	#10615268	C₂	1	1	yes	maximal, characteristic, complemented
19	#10615192	C₂	1	1	yes	maximal, characteristic, complemented
20	#10615187	C₂	1	1	yes	maximal, characteristic, complemented
21	#10615166	C₂	1	1	yes	maximal, characteristic, complemented
22	#10615162	C₂	1	1	yes	maximal, characteristic, complemented
23	#10614873	C₂	1	1	yes	maximal, characteristic, complemented
24	#10614865	C₂	1	1	yes	maximal, characteristic, complemented
25	#10614857	C₂	1	1	yes	maximal, characteristic, complemented
26	#10614300	C₂	1	1	yes	maximal, characteristic, complemented
27	#10614289	C₂	1	1	yes	maximal, characteristic, complemented
28	#10614286	C₂	1	1	yes	maximal, characteristic, complemented
29	#10614279	C₂	1	1	yes	maximal, characteristic, complemented
30	#10614261	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#4096	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	—	2	1	no	—
33	C₅×#559	C₂²	1	1	yes	characteristic, complemented
34	C₅×#557	C₂²	1	1	yes	characteristic, complemented
35	C₅×#555	—	2	1	no	—
36	C₅×#555	C₂²	1	1	yes	characteristic
37	C₅×#553	—	2	1	no	—
38	C₅×#553	C₂²	1	1	yes	characteristic
39	C₅×#552	—	2	1	no	—
40	C₅×#552	C₂²	1	1	yes	characteristic, complemented
41	C₅×#550	C₂²	1	1	yes	characteristic, complemented
42	C₅×#548	C₂²	1	1	yes	characteristic
43	C₅×#548	C₂²	1	1	yes	characteristic
44	C₅×#542	—	2	1	no	—
45	C₅×#542	C₂²	1	1	yes	characteristic, complemented
46	C₅×#540	—	2	1	no	—
47	C₅×#540	C₂²	1	1	yes	characteristic
48	C₅×#529	—	2	1	no	—
49	C₅×#529	—	2	1	no	—
50	C₅×#529	C₂²	1	1	yes	characteristic
51	C₅×#529	C₂²	1	1	yes	characteristic, complemented
52	C₅×#520	C₂²	1	1	yes	characteristic, complemented
53	C₅×#519	C₂²	1	1	yes	characteristic
54	C₄×C₅×#41	C₂²	1	1	yes	characteristic, complemented
55	C₂×#4096	C₂²	1	1	yes	characteristic
56	C₂×#4096	C₂²	1	1	yes	characteristic
57	C₂²×#688	C₂²	1	1	yes	characteristic
58	#66040	—	2	1	no	—
59	D₅×#126	—	2	1	no	—
60	#66027	—	2	1	no	—
61	#66013	—	2	1	no	—
62	#65995	—	2	1	no	—
63	#65993	—	2	1	no	—
64	#65972	—	2	1	no	—
65	#65947	—	2	1	no	—
66	#65918	C₂²	1	1	yes	characteristic
67	#65913	C₂²	1	1	yes	characteristic
68	#65899	C₂²	1	1	yes	characteristic
69	#65885	C₂²	1	1	yes	characteristic
70	#65884	C₂²	1	1	yes	characteristic
71	#65884	C₂²	1	1	yes	characteristic
72	#65876	C₂²	1	1	yes	characteristic
73	#65875	C₂²	1	1	yes	characteristic
74	#65868	C₂²	1	1	yes	characteristic
75	#65857	C₂²	1	1	yes	characteristic
76	#65855	C₂²	1	1	yes	characteristic
77	#65852	C₂²	1	1	yes	characteristic
78	#65813	C₂²	1	1	yes	characteristic
79	C₄×#709	C₂²	1	1	yes	characteristic
80	#65528	C₂²	1	1	yes	characteristic, complemented
81	#65528	C₂²	1	1	yes	characteristic, complemented
82	#65527	C₂²	1	1	yes	characteristic
83	#65527	C₂²	1	1	yes	characteristic
84	#65522	C₂²	1	1	yes	characteristic, complemented
85	#65521	C₂²	1	1	yes	characteristic, complemented
86	#65517	C₂²	1	1	yes	characteristic
87	#65517	C₂²	1	1	yes	characteristic
88	#65514	C₂²	1	1	yes	characteristic
89	#65380	C₂²	1	1	yes	characteristic, complemented
90	#65378	C₂²	1	1	yes	characteristic
91	#65376	C₂²	1	1	yes	characteristic
92	#65368	C₂²	1	1	yes	characteristic, complemented
93	#65365	C₂²	1	1	yes	characteristic, complemented
94	#65361	C₂²	1	1	yes	characteristic
95	#65361	C₂²	1	1	yes	characteristic
96	#65360	C₂²	1	1	yes	characteristic, complemented
97	#65358	C₂²	1	1	yes	characteristic, complemented
98	#65357	C₂²	1	1	yes	characteristic
99	#65355	C₂²	1	1	yes	characteristic
100	#65355	C₂²	1	1	yes	characteristic
101	#65355	C₂²	1	1	yes	characteristic
102	#65353	C₂²	1	1	yes	characteristic, complemented
103	#65353	C₂²	1	1	yes	characteristic, complemented
104	#65352	C₂²	1	1	yes	characteristic, complemented
105	#65348	C₂²	1	1	yes	characteristic
106	#65348	C₂²	1	1	yes	characteristic
107	#65346	C₂²	1	1	yes	characteristic
108	#65346	C₂²	1	1	yes	characteristic
109	#65345	C₂²	1	1	yes	characteristic, complemented
110	#65344	C₂²	1	1	yes	characteristic, complemented
111	#65343	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	#65337	C₂²	1	1	yes	characteristic
116	#65337	C₂²	1	1	yes	characteristic
117	#65336	C₂²	1	1	yes	characteristic
118	#65336	C₂²	1	1	yes	characteristic
119	#65334	C₂²	1	1	yes	characteristic, complemented
120	#65333	C₂²	1	1	yes	characteristic, complemented
121	#65331	C₂²	1	1	yes	characteristic
122	#65331	C₂²	1	1	yes	characteristic
123	#65330	C₂²	1	1	yes	characteristic
124	#65330	C₂²	1	1	yes	characteristic
125	#65330	C₂²	1	1	yes	characteristic, complemented
126	#65330	C₂²	1	1	yes	characteristic, complemented
127	#65328	C₂²	1	1	yes	characteristic
128	#65327	C₂²	1	1	yes	characteristic
129	#65326	C₂²	1	1	yes	characteristic
130	#65326	C₂²	1	1	yes	characteristic
131	#65325	C₂²	1	1	yes	characteristic
132	#65325	C₂²	1	1	yes	characteristic
133	#65324	C₂²	1	1	yes	characteristic
134	#65324	C₂²	1	1	yes	characteristic
135	#65324	C₂²	1	1	yes	characteristic, complemented
136	#65322	C₂²	1	1	yes	characteristic, complemented
137	#65320	C₂²	1	1	yes	characteristic, complemented
138	#65320	C₂²	1	1	yes	characteristic, complemented
139	#65319	C₂²	1	1	yes	characteristic, complemented
140	#65319	C₂²	1	1	yes	characteristic, complemented
141	#65319	C₂²	1	1	yes	characteristic, complemented
142	C₄×#689	C₂²	1	1	yes	characteristic, complemented
143	C₄×#689	C₂²	1	1	yes	characteristic, complemented
144	C₄×#689	C₂²	1	1	yes	characteristic, complemented
145	#65317	C₂²	1	1	yes	characteristic
146	#65317	C₂²	1	1	yes	characteristic
147	#65315	C₂²	1	1	yes	characteristic
148	#65315	C₂²	1	1	yes	characteristic
149	#65315	C₂²	1	1	yes	characteristic
150	#65315	C₂²	1	1	yes	characteristic
151	C₄×#688	C₂²	1	1	yes	characteristic
152	C₄×#688	C₂²	1	1	yes	characteristic
153	C₄×#688	C₂²	1	1	yes	characteristic
154	C₄×#688	C₂²	1	1	yes	characteristic
155	C₄×#688	C₂²	1	1	yes	characteristic
156	C₄×#688	C₂²	1	1	yes	characteristic
157	#65313	C₂²	1	1	yes	characteristic, complemented
158	Q₈×#168	C₂²	1	1	yes	characteristic, complemented
159	#65311	C₂²	1	1	yes	characteristic, complemented
160	#65311	C₂²	1	1	yes	characteristic, complemented
161	#65311	C₂²	1	1	yes	characteristic, complemented
162	#65310	C₂²	1	1	yes	characteristic, complemented
163	#65307	C₂²	1	1	yes	characteristic, complemented
164	#65307	C₂²	1	1	yes	characteristic, complemented
165	C₄×#687	C₂²	1	1	yes	characteristic, complemented
166	C₄×#687	C₂²	1	1	yes	characteristic, complemented
167	C₄×#687	C₂²	1	1	yes	characteristic, complemented
168	C₄×#687	C₂²	1	1	yes	characteristic, complemented
169	#65305	C₂²	1	1	yes	characteristic
170	#65305	C₂²	1	1	yes	characteristic
171	#65303	C₂²	1	1	yes	characteristic
172	#65303	C₂²	1	1	yes	characteristic
173	#65303	C₂²	1	1	yes	characteristic
174	C₄×#686	C₂²	1	1	yes	characteristic
175	C₄×#686	C₂²	1	1	yes	characteristic
176	C₄×#686	C₂²	1	1	yes	characteristic
177	#65301	C₂²	1	1	yes	characteristic
178	#65300	C₂²	1	1	yes	characteristic
179	#65300	C₂²	1	1	yes	characteristic, complemented
180	D₄×#168	C₂²	1	1	yes	characteristic
181	D₄×#168	C₂²	1	1	yes	characteristic
182	D₄×#168	C₂²	1	1	yes	characteristic, complemented
183	#65298	C₂²	1	1	yes	characteristic, complemented
184	#65296	C₂²	1	1	yes	characteristic, complemented
185	#65292	C₂²	1	1	yes	characteristic
186	#65291	C₂²	1	1	yes	characteristic
187	#65290	C₂²	1	1	yes	characteristic
188	#65289	C₂²	1	1	yes	characteristic
189	#65289	C₂²	1	1	yes	characteristic, complemented
190	#65287	C₂²	1	1	yes	characteristic
191	#65287	C₂²	1	1	yes	characteristic, complemented
192	#65286	C₂²	1	1	yes	characteristic
193	#65286	C₂²	1	1	yes	characteristic, complemented
194	#65285	C₂²	1	1	yes	characteristic
195	#65285	C₂²	1	1	yes	characteristic
196	#65285	C₂²	1	1	yes	characteristic, complemented
197	#65259	C₂²	1	1	yes	characteristic, complemented
198	#65256	C₂²	1	1	yes	characteristic
199	#65255	C₂²	1	1	yes	characteristic
200	C₂×#3940	C₂²	1	1	yes	characteristic, complemented
201	#65215	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₄×#168	C₂²	1	1	yes	characteristic, complemented
203	#61486	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
207	C₂×#709	C₂³	1	1	yes	characteristic
208	C₂×#709	C₂³	1	1	yes	characteristic
209	C₂²×D₂₀	C₂³	1	1	yes	characteristic
210	C₅×C₄⋊Q₈	—	2	1	no	—
211	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
212	C₅×#127	—	2	1	no	—
213	C₅×#127	C₂³	1	1	yes	characteristic
214	C₅×#126	—	2	1	no	—
215	C₅×#126	—	2	1	no	—
216	C₅×#126	—	2	1	no	—
217	C₅×#126	—	2	1	no	—
218	C₅×#126	D₄	1	1	yes	characteristic
219	C₅×#126	D₄	1	1	yes	characteristic
220	C₅×#125	—	2	1	no	—
221	C₅×#125	—	2	1	no	—
222	C₅×#125	—	2	1	no	—
223	C₅×#125	D₄	1	1	yes	characteristic
224	C₅×#125	C₂³	1	1	yes	characteristic
225	C₅×#125	C₂³	1	1	yes	characteristic
226	C₅×#124	—	2	1	no	—
227	C₅×#124	—	2	1	no	—
228	C₅×#124	—	2	1	no	—
229	C₅×#124	—	2	1	no	—
230	C₅×#124	—	2	1	no	—
231	C₅×#124	—	2	1	no	—
232	C₅×#124	D₄	1	1	yes	characteristic
233	C₅×#124	C₂³	1	1	yes	characteristic
234	C₅×#124	C₂³	1	1	yes	characteristic
235	C₅×#123	—	2	1	no	—
236	C₅×#123	—	2	1	no	—
237	C₅×#123	—	2	1	no	—
238	C₅×#123	—	2	1	no	—
239	C₅×#123	—	2	1	no	—
240	C₅×#123	—	2	1	no	—
241	C₅×#123	—	2	1	no	—
242	C₅×#123	—	2	1	no	—
243	C₅×#123	D₄	1	1	yes	characteristic
244	C₅×#123	D₄	1	1	yes	characteristic
245	C₅×C₂²⋊Q₈	—	2	1	no	—
246	C₅×C₂²⋊Q₈	—	2	1	no	—
247	C₅×C₂²⋊Q₈	—	2	1	no	—
248	C₅×C₂²⋊Q₈	D₄	1	1	yes	characteristic
249	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
250	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
251	C₅×#121	—	2	1	no	—
252	C₅×#121	—	2	1	no	—
253	C₅×#121	—	2	1	no	—
254	C₅×#121	—	2	1	no	—
255	C₅×#121	—	2	1	no	—
256	C₅×#121	—	2	1	no	—
257	C₅×#121	—	2	1	no	—
258	C₅×#121	—	2	1	no	—
259	C₅×#121	D₄	1	1	yes	characteristic
260	C₅×#121	C₂³	1	1	yes	characteristic
261	C₅×#121	C₂³	1	1	yes	characteristic
262	C₅×#121	C₂³	1	1	yes	characteristic
263	C₅×#121	C₂³	1	1	yes	characteristic
264	C₄×C₅×Q₈	—	2	1	no	—
265	C₄×C₅×Q₈	—	2	1	no	—
266	C₄×C₅×Q₈	—	2	1	no	—
267	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
268	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
269	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
270	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
271	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
272	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
273	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
274	C₄×C₅×D₄	—	2	1	no	—
275	C₄×C₅×D₄	—	2	1	no	—
276	C₄×C₅×D₄	—	2	1	no	—
277	C₄×C₅×D₄	—	2	1	no	—
278	C₄×C₅×D₄	—	2	1	no	—
279	C₄×C₅×D₄	—	2	1	no	—
280	C₄×C₅×D₄	—	2	1	no	—
281	C₄×C₅×D₄	—	2	1	no	—
282	C₄×C₅×D₄	—	2	1	no	—
283	C₄×C₅×D₄	—	2	1	no	—
284	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
285	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
286	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
287	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
288	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
289	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
290	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
291	C₅×#117	—	2	1	no	—
292	C₅×#117	—	2	1	no	—
293	C₅×#117	—	2	1	no	—
294	C₅×#117	—	2	1	no	—
295	C₅×#117	—	2	1	no	—
296	C₅×#117	—	2	1	no	—
297	C₅×#117	—	2	1	no	—
298	C₅×#117	C₂³	1	1	yes	characteristic
299	C₅×#117	C₂³	1	1	yes	characteristic
300	C₅×#117	C₂³	1	1	yes	characteristic
301	C₅×#117	C₂³	1	1	yes	characteristic
302	C₂×C₅×C₄⋊C₄	—	2	1	no	—
303	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×C₄²×C₅	—	2	1	no	—
305	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
306	#4096	—	2	4	no	—
307	#4096	—	2	4	no	—
308	#4092	—	2	1	no	—
309	#4092	—	2	1	no	—
310	C₂×#689	C₂³	1	1	yes	characteristic
311	C₂×#689	C₂³	1	1	yes	characteristic
312	C₂×#689	C₂³	1	1	yes	characteristic
313	C₂×#689	C₂³	1	1	yes	characteristic
314	C₂×#688	—	2	4	no	—
315	C₂×#688	C₂³	1	1	yes	characteristic
316	C₂×#688	C₂³	1	1	yes	characteristic
317	C₂×#688	C₂³	1	1	yes	characteristic
318	C₂×#688	C₂³	1	1	yes	characteristic
319	#4085	—	2	1	no	—
320	#4084	—	2	1	no	—
321	#4083	—	2	1	no	—
322	#4083	—	2	1	no	—
323	#4082	—	2	1	no	—
324	#4081	—	2	1	no	—
325	C₂×#687	C₂³	1	1	yes	characteristic
326	C₂×#687	C₂³	1	1	yes	characteristic
327	C₂×#687	C₂³	1	1	yes	characteristic
328	C₂×#687	C₂³	1	1	yes	characteristic
329	C₂×#686	C₂³	1	1	yes	characteristic
330	C₂×#686	C₂³	1	1	yes	characteristic
331	C₂×#686	C₂³	1	1	yes	characteristic
332	C₂×#686	C₂³	1	1	yes	characteristic
333	#4076	C₂³	1	1	yes	characteristic
334	#4076	C₂³	1	1	yes	characteristic
335	#4075	—	2	1	no	—
336	C₄×C₂²⋊D₅	—	2	1	no	—
337	C₄×C₂²⋊D₅	—	2	1	no	—
338	C₄×C₂²⋊D₅	—	2	1	no	—
339	#4072	C₂³	1	1	yes	characteristic
340	#4072	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
342	#4070	C₂³	1	1	yes	characteristic
343	#4070	C₂³	1	1	yes	characteristic
344	#4070	C₂³	1	1	yes	characteristic
345	#4070	C₂³	1	1	yes	characteristic
346	C₂×#681	C₂³	1	1	yes	characteristic
347	C₂×#681	C₂³	1	1	yes	characteristic
348	C₂²×#168	C₂³	1	1	yes	characteristic
349	C₂²×#168	C₂³	1	1	yes	characteristic
350	C₂²×#168	C₂³	1	1	yes	characteristic
351	C₂²×#168	C₂³	1	1	yes	characteristic
352	#4044	—	2	1	no	—
353	#4044	—	2	1	no	—
354	#4044	—	2	1	no	—
355	#4044	—	2	1	no	—
356	#4042	—	2	1	no	—
357	#4042	—	2	1	no	—
358	#4042	—	2	1	no	—
359	#4040	—	2	1	no	—
360	#4040	—	2	1	no	—
361	#4039	—	2	1	no	—
362	#4039	—	2	1	no	—
363	#4038	—	2	1	no	—
364	#4038	—	2	1	no	—
365	D₅×C₄⋊C₄	—	2	1	no	—
366	D₅×C₄⋊C₄	—	2	1	no	—
367	D₅×C₄⋊C₄	—	2	1	no	—
368	#4035	—	2	1	no	—
369	#4035	—	2	1	no	—
370	#4035	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4027	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	—	2	1	no	—
382	D₅×C₂²⋊C₄	—	2	1	no	—
383	D₅×C₂²⋊C₄	—	2	1	no	—
384	D₅×C₂²⋊C₄	—	2	1	no	—
385	D₅×C₂²⋊C₄	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4025	—	2	1	no	—
390	#4025	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4022	—	2	1	no	—
393	#4021	C₂³	1	1	yes	characteristic
394	#4021	C₂³	1	1	yes	characteristic
395	C₄×D₂₀	C₂³	1	1	yes	characteristic
396	C₄×D₂₀	C₂³	1	1	yes	characteristic
397	C₄×D₂₀	C₂³	1	1	yes	characteristic
398	C₄×D₂₀	C₂³	1	1	yes	characteristic
399	C₄×D₂₀	C₂³	1	1	yes	characteristic
400	C₄×D₂₀	C₂³	1	1	yes	characteristic
401	#4018	—	2	1	no	—
402	#4018	—	2	1	no	—
403	C₄²×D₅	—	2	1	no	—
404	#4016	C₂³	1	1	yes	characteristic
405	#4016	C₂³	1	1	yes	characteristic
406	#4015	C₂³	1	1	yes	characteristic
407	#4015	C₂³	1	1	yes	characteristic
408	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
409	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	#3967	C₂³	1	1	yes	characteristic
413	#3967	C₂³	1	1	yes	characteristic
414	#3967	C₂³	1	1	yes	characteristic
415	#3967	C₂³	1	1	yes	characteristic
416	#3967	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3964	C₂³	1	1	yes	characteristic
421	#3964	C₂³	1	1	yes	characteristic
422	#3964	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	C₂²⋊#168	C₂³	1	1	yes	characteristic
429	C₂²⋊#168	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	C₂²⋊#168	C₂³	1	1	yes	characteristic
432	C₂²⋊#168	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	#3942	C₂³	1	1	yes	characteristic
435	#3942	C₂³	1	1	yes	characteristic
436	#3942	C₂³	1	1	yes	characteristic
437	#3942	C₂³	1	1	yes	characteristic
438	#3942	C₂³	1	1	yes	characteristic
439	#3942	C₂³	1	1	yes	characteristic
440	#3942	C₂³	1	1	yes	characteristic
441	#3942	C₂³	1	1	yes	characteristic
442	#3941	C₂³	1	1	yes	characteristic
443	#3941	C₂³	1	1	yes	characteristic
444	#3941	C₂³	1	1	yes	characteristic
445	#3941	C₂³	1	1	yes	characteristic
446	#3941	C₂³	1	1	yes	characteristic
447	#3941	C₂³	1	1	yes	characteristic
448	#3941	C₂³	1	1	yes	characteristic
449	#3941	C₂³	1	1	yes	characteristic
450	#3940	C₂³	1	1	yes	characteristic
451	#3940	C₂³	1	1	yes	characteristic
452	#3940	C₂³	1	1	yes	characteristic
453	#3940	C₂³	1	1	yes	characteristic
454	#3940	C₂³	1	1	yes	characteristic
455	#3940	C₂³	1	1	yes	characteristic
456	#3940	C₂³	1	1	yes	characteristic
457	#3940	C₂³	1	1	yes	characteristic
458	#3939	C₂³	1	1	yes	characteristic
459	#3939	C₂³	1	1	yes	characteristic
460	#3939	C₂³	1	1	yes	characteristic
461	#3939	C₂³	1	1	yes	characteristic
462	#3939	C₂³	1	1	yes	characteristic
463	#3939	C₂³	1	1	yes	characteristic
464	#3939	C₂³	1	1	yes	characteristic
465	#3939	C₂³	1	1	yes	characteristic
466	C₄⋊#168	C₂³	1	1	yes	characteristic
467	C₄⋊#168	C₂³	1	1	yes	characteristic
468	C₄⋊#168	C₂³	1	1	yes	characteristic
469	C₄⋊#168	C₂³	1	1	yes	characteristic
470	C₄⋊#168	C₂³	1	1	yes	characteristic
471	C₄⋊#168	C₂³	1	1	yes	characteristic
472	#3935	C₂³	1	1	yes	characteristic
473	#3935	C₂³	1	1	yes	characteristic
474	#3935	C₂³	1	1	yes	characteristic
475	#3935	C₂³	1	1	yes	characteristic
476	C₄×#168	C₂³	1	1	yes	characteristic
477	C₄×#168	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	C₄×#168	C₂³	1	1	yes	characteristic
480	C₄×#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3524	D₅	1	1	yes	characteristic, complemented
483	#3521	—	5	1	no	—
484	#3394	—	5	1	no	—
485	#3381	—	5	1	no	—
486	#3377	—	5	1	no	—
487	#3370	—	5	1	no	—
488	#3340	—	5	1	no	—
489	#3337	—	5	1	no	—
490	#3337	—	5	1	no	—
491	#3327	—	5	1	no	—
492	#3322	—	5	1	no	—
493	#3319	—	5	1	no	—
494	#3315	—	5	1	no	—
495	#3313	—	5	1	no	—
496	#3309	—	5	1	no	—
497	#3284	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3282	—	5	1	no	—
500	#3174	—	5	1	no	—
501	#3173	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3127	—	5	1	no	—
504	#3124	—	5	1	no	—
505	#3124	—	5	1	no	—
506	#3122	—	5	1	no	—
507	#3111	—	5	1	no	—
508	#3111	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2952	—	5	1	no	—
511	#2949	—	5	1	no	—
512	C₄×#135	—	5	1	no	—
513	C₂³×D₅	—	2	1	no	—
514	C₅×#41	—	2	2	no	—
515	C₅×#41	—	2	2	no	—
516	C₅×#41	—	4	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₂×C₅×Q₈	—	2	1	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	—	2	2	no	—
521	C₂×C₅×Q₈	—	4	1	no	—
522	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	—	2	1	no	—
544	C₂²×C₄×C₅	—	2	1	no	—
545	C₂²×C₄×C₅	—	2	1	no	—
546	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	#709	—	2	2	no	—
557	#709	—	2	2	no	—
558	#709	—	4	1	no	—
559	#709	—	4	1	no	—
560	C₂×D₂₀	—	2	2	no	—
561	C₂×D₂₀	—	2	1	no	—
562	C₂×D₂₀	—	4	1	no	—
563	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
564	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
565	C₂×C₄×D₅	—	2	1	no	—
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	—	2	1	no	—
616	C₅×C₂²⋊C₄	—	2	1	no	—
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	—	2	1	no	—
620	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
621	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
622	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
624	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
627	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
628	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
629	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
630	C₄²×C₅	—	2	1	no	—
631	C₄²×C₅	—	2	1	no	—
632	C₄²×C₅	—	2	1	no	—
633	C₄²×C₅	—	2	1	no	—
634	C₄²×C₅	—	2	1	no	—
635	C₄²×C₅	—	2	1	no	—
636	C₄²×C₅	—	2	1	no	—
637	C₄²×C₅	—	2	1	no	—
638	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
639	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
640	C₄²×C₅	C₂⁴	1	1	yes	characteristic
641	C₄²×C₅	C₂⁴	1	1	yes	characteristic
642	C₄²×C₅	C₂⁴	1	1	yes	characteristic
643	C₄²×C₅	C₂⁴	1	1	yes	characteristic
644	C₂²⋊Dic₅	—	2	1	no	—
645	C₂²⋊Dic₅	—	2	1	no	—
646	C₂²⋊Dic₅	—	2	1	no	—
647	C₂²⋊Dic₅	—	2	1	no	—
648	C₂²⋊Dic₅	—	2	1	no	—
649	C₂²⋊Dic₅	—	2	1	no	—
650	#689	—	2	2	no	—
651	#689	—	2	2	no	—
652	#689	—	4	1	no	—
653	#689	—	4	1	no	—
654	#688	—	2	2	no	—
655	#688	—	2	2	no	—
656	#688	—	2	2	no	—
657	#688	#41	1	4	yes	—
658	#687	—	2	2	no	—
659	#687	—	2	2	no	—
660	#687	—	4	1	no	—
661	#687	—	4	1	no	—
662	#686	—	2	2	no	—
663	#686	—	2	2	no	—
664	#686	—	4	1	no	—
665	#686	—	4	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	—	2	1	no	—
672	#685	—	2	1	no	—
673	#685	—	2	1	no	—
674	#685	—	2	1	no	—
675	#685	—	2	1	no	—
676	#685	—	2	1	no	—
677	#685	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	—	2	1	no	—
680	C₄⋊Dic₅	—	2	1	no	—
681	C₄⋊Dic₅	—	2	1	no	—
682	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
683	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	—	2	1	no	—
703	C₄×Dic₅	—	2	1	no	—
704	#681	—	4	1	no	—
705	#681	—	4	1	no	—
706	C₂×#168	—	2	2	no	—
707	C₂×#168	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	—	4	1	no	—
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	C₂×#168	C₂⁴	1	1	yes	characteristic
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	C₂×#168	C₂⁴	1	1	yes	characteristic
717	C₂×#168	C₂⁴	1	1	yes	characteristic
718	C₂×#135	—	5	1	no	—
719	C₂×#135	—	5	1	no	—
720	C₂²×SD₁₆	—	5	1	no	—
721	#559	—	2	1	no	—
722	#559	C₂×D₅	1	1	yes	characteristic, complemented
723	#557	C₂×D₅	1	1	yes	characteristic, complemented
724	#556	—	5	1	no	—
725	#556	—	5	1	no	—
726	#555	—	2	1	no	—
727	#555	C₂×D₅	1	1	yes	characteristic
728	#554	—	5	1	no	—
729	#553	—	2	1	no	—
730	#553	—	5	1	no	—
731	#553	—	10	1	no	—
732	#553	C₂×D₅	1	1	yes	characteristic
733	#552	—	2	1	no	—
734	#552	—	5	1	no	—
735	#552	—	10	1	no	—
736	#552	C₂×D₅	1	1	yes	characteristic, complemented
737	#551	—	10	1	no	—
738	#551	—	10	1	no	—
739	#550	C₂×D₅	1	1	yes	characteristic, complemented
740	#548	C₂×D₅	1	1	yes	characteristic
741	#548	C₂×D₅	1	1	yes	characteristic
742	#547	—	5	1	no	—
743	#546	—	5	1	no	—
744	#546	—	5	1	no	—
745	#542	—	2	1	no	—
746	#542	—	5	1	no	—
747	#542	C₂×D₅	1	1	yes	characteristic, complemented
748	#541	—	5	1	no	—
749	#540	—	2	1	no	—
750	#540	C₂×D₅	1	1	yes	characteristic
751	#539	—	10	1	no	—
752	#538	—	10	1	no	—
753	#529	—	2	1	no	—
754	#529	—	2	1	no	—
755	#529	—	5	1	no	—
756	#529	—	10	1	no	—
757	#529	C₂×D₅	1	1	yes	characteristic
758	#529	C₂×D₅	1	1	yes	characteristic, complemented
759	C₂×#126	—	10	1	no	—
760	#520	—	5	1	no	—
761	#520	C₂×D₅	1	1	yes	characteristic, complemented
762	#519	C₂×D₅	1	1	yes	characteristic
763	#518	—	5	1	no	—
764	C₄×#41	—	5	1	no	—
765	C₄×#41	C₂×D₅	1	1	yes	characteristic, complemented
766	#499	—	5	1	no	—
767	#499	—	5	1	no	—
768	#498	—	5	1	no	—
769	#495	—	5	1	no	—
770	#495	—	5	1	no	—
771	#492	—	5	1	no	—
772	#491	—	5	1	no	—
773	#490	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#484	—	5	1	no	—
783	#484	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	—	5	1	no	—
788	#480	—	5	1	no	—
789	#480	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	—	5	1	no	—
800	#474	—	5	1	no	—
801	#474	—	5	1	no	—
802	#470	—	5	1	no	—
803	#469	—	5	1	no	—
804	#468	—	5	1	no	—
805	#468	—	5	1	no	—
806	#467	—	5	1	no	—
807	#466	—	5	1	no	—
808	#465	—	5	1	no	—
809	#465	—	5	1	no	—
810	#465	—	5	1	no	—
811	#465	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#463	—	5	1	no	—
819	#463	—	5	1	no	—
820	#463	—	5	1	no	—
821	#463	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#459	—	5	1	no	—
825	#459	—	5	1	no	—
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#449	—	5	1	no	—
833	#449	—	5	1	no	—
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#447	—	5	1	no	—
837	#447	—	5	1	no	—
838	#446	—	5	1	no	—
839	C₈×Q₈	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#442	—	5	1	no	—
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	—	5	1	no	—
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×SD₁₆	—	5	1	no	—
856	C₄×SD₁₆	—	5	1	no	—
857	C₄×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	—	5	1	no	—
863	C₄×SD₁₆	—	5	1	no	—
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×D₈	—	5	1	no	—
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	#436	—	5	1	no	—
869	#435	—	5	1	no	—
870	#435	—	5	1	no	—
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#432	—	5	1	no	—
877	#427	—	5	1	no	—
878	#427	—	5	1	no	—
879	C₂×#106	—	5	1	no	—
880	#419	—	5	1	no	—
881	#418	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	#416	—	5	1	no	—
885	#416	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	C₂×C₄×C₈	—	5	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂³×C₅	—	2	1	no	—
891	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
892	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
893	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
894	C₂²×D₅	—	2	1	no	—
895	C₂²×D₅	—	2	1	no	—
896	C₂²×D₅	—	4	2	no	—
897	C₂²×D₅	—	8	1	no	—
898	C₂²×D₅	—	8	1	no	—
899	C₅×Q₈	—	2	1	no	—
900	C₅×Q₈	—	2	1	no	—
901	C₅×Q₈	—	2	1	no	—
902	C₅×Q₈	—	4	1	no	—
903	C₅×Q₈	—	4	2	no	—
904	C₅×Q₈	—	8	1	no	—
905	C₅×Q₈	C₂×#41	1	2	yes	—
906	C₅×D₄	—	2	1	no	—
907	C₅×D₄	—	2	1	no	—
908	C₅×D₄	—	2	1	no	—
909	C₅×D₄	—	2	1	no	—
910	C₅×D₄	—	4	1	no	—
911	C₅×D₄	—	4	1	no	—
912	C₅×D₄	—	4	1	no	—
913	C₅×D₄	—	4	2	no	—
914	C₅×D₄	—	4	2	no	—
915	C₅×D₄	—	8	1	no	—
916	C₅×D₄	—	8	1	no	—
917	C₅×D₄	—	8	1	no	—
918	C₅×D₄	—	8	1	no	—
919	C₅×D₄	—	8	1	no	—
920	C₅×D₄	—	8	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	2	1	no	—
924	C₂×C₄×C₅	—	2	1	no	—
925	C₂×C₄×C₅	—	2	1	no	—
926	C₂×C₄×C₅	—	2	1	no	—
927	C₂×C₄×C₅	—	2	1	no	—
928	C₂×C₄×C₅	—	2	1	no	—
929	C₂×C₄×C₅	—	2	1	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	4	1	no	—
934	C₂×C₄×C₅	—	4	1	no	—
935	C₂×C₄×C₅	—	4	2	no	—
936	C₂×C₄×C₅	—	4	2	no	—
937	C₂×C₄×C₅	—	4	2	no	—
938	C₂×C₄×C₅	—	8	1	no	—
939	C₂×C₄×C₅	—	8	1	no	—
940	C₂×C₄×C₅	—	8	1	no	—
941	C₂×C₄×C₅	—	8	1	no	—
942	C₂×C₄×C₅	—	8	1	no	—
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
954	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
955	C₂²⋊D₅	—	4	2	no	—
956	C₂²⋊D₅	—	4	2	no	—
957	C₂²⋊D₅	—	8	1	no	—
958	C₂²⋊D₅	—	8	1	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	1	no	—
964	C₂×Dic₅	—	2	1	no	—
965	C₂×Dic₅	—	8	1	no	—
966	D₂₀	—	2	1	no	—
967	D₂₀	—	2	1	no	—
968	D₂₀	—	2	1	no	—
969	D₂₀	—	4	2	no	—
970	D₂₀	C₂×#41	1	2	yes	—
971	C₄×D₅	—	4	2	no	—
972	C₄×D₅	—	4	2	no	—
973	C₄×D₅	—	8	1	no	—
974	C₄×D₅	—	8	1	no	—
975	C₄×D₅	—	8	1	no	—
976	C₄×D₅	—	8	1	no	—
977	C₄×D₅	—	8	1	no	—
978	C₄×D₅	—	8	1	no	—
979	Dic₁₀	—	2	1	no	—
980	Dic₁₀	—	2	1	no	—
981	Dic₁₀	—	2	1	no	—
982	Dic₁₀	—	2	1	no	—
983	Dic₁₀	—	8	1	no	—
984	#168	—	2	1	no	—
985	#168	—	2	1	no	—
986	#168	—	2	1	no	—
987	#168	—	2	1	no	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	C₂×#41	1	2	yes	—
992	C₂×#41	—	5	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	C₂²×D₅	1	1	yes	characteristic
995	C₂×#41	C₂²×D₅	1	1	yes	characteristic
996	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
997	C₂²×D₄	—	5	1	no	—
998	#135	—	10	4	no	—
999	#135	—	10	4	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	no	—
1002	C₂×Q₁₆	—	5	1	no	—
1003	C₂×Q₁₆	—	5	1	no	—
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	—	5	1	no	—
1006	C₂×SD₁₆	—	5	1	no	—
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	—	5	1	no	—
1011	C₂×SD₁₆	—	5	1	no	—
1012	C₂×SD₁₆	—	10	4	no	—
1013	C₂×D₈	—	5	1	no	—
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	—	5	1	no	—
1016	C₂×D₈	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂×M₁₆	—	5	1	no	—
1019	C₂²×C₈	—	5	1	no	—
1020	C₂²×C₈	—	5	1	no	—
1021	C₂²×C₈	—	5	1	no	—
1022	C₂²×C₈	—	5	1	no	—
1023	C₄⋊Q₈	—	2	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1027	#127	—	2	1	no	—
1028	#127	C₂²×D₅	1	1	yes	characteristic
1029	#126	—	2	1	no	—
1030	#126	—	2	1	no	—
1031	#126	—	2	1	no	—
1032	#126	—	2	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	C₂²⋊D₅	1	1	yes	characteristic
1044	#126	C₂²⋊D₅	1	1	yes	characteristic
1045	#125	—	2	1	no	—
1046	#125	—	2	1	no	—
1047	#125	—	2	1	no	—
1048	#125	—	5	1	no	—
1049	#125	—	5	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	C₂²⋊D₅	1	1	yes	characteristic
1054	#125	C₂²×D₅	1	1	yes	characteristic
1055	#125	C₂²×D₅	1	1	yes	characteristic
1056	#124	—	2	1	no	—
1057	#124	—	2	1	no	—
1058	#124	—	2	1	no	—
1059	#124	—	2	1	no	—
1060	#124	—	2	1	no	—
1061	#124	—	2	1	no	—
1062	#124	—	5	1	no	—
1063	#124	—	5	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	C₂²⋊D₅	1	1	yes	characteristic
1067	#124	C₂²×D₅	1	1	yes	characteristic
1068	#124	C₂²×D₅	1	1	yes	characteristic
1069	#123	—	2	1	no	—
1070	#123	—	2	1	no	—
1071	#123	—	2	1	no	—
1072	#123	—	2	1	no	—
1073	#123	—	2	1	no	—
1074	#123	—	2	1	no	—
1075	#123	—	2	1	no	—
1076	#123	—	2	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	#123	—	10	1	no	—
1083	#123	—	10	1	no	—
1084	#123	—	10	1	no	—
1085	#123	C₂²⋊D₅	1	1	yes	characteristic
1086	#123	C₂²⋊D₅	1	1	yes	characteristic
1087	C₂²⋊Q₈	—	2	1	no	—
1088	C₂²⋊Q₈	—	2	1	no	—
1089	C₂²⋊Q₈	—	2	1	no	—
1090	C₂²⋊Q₈	—	5	1	no	—
1091	C₂²⋊Q₈	—	5	1	no	—
1092	C₂²⋊Q₈	—	5	1	no	—
1093	C₂²⋊Q₈	—	5	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	C₂²⋊D₅	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1102	#121	—	2	1	no	—
1103	#121	—	2	1	no	—
1104	#121	—	2	1	no	—
1105	#121	—	2	1	no	—
1106	#121	—	2	1	no	—
1107	#121	—	2	1	no	—
1108	#121	—	2	1	no	—
1109	#121	—	2	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	5	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	C₂²⋊D₅	1	1	yes	characteristic
1117	#121	C₂²×D₅	1	1	yes	characteristic
1118	#121	C₂²×D₅	1	1	yes	characteristic
1119	#121	C₂²×D₅	1	1	yes	characteristic
1120	#121	C₂²×D₅	1	1	yes	characteristic
1121	#120	—	10	1	no	—
1122	#120	—	10	1	no	—
1123	C₄×Q₈	—	2	1	no	—
1124	C₄×Q₈	—	2	1	no	—
1125	C₄×Q₈	—	2	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1132	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1133	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1134	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1135	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1138	C₄×D₄	—	2	1	no	—
1139	C₄×D₄	—	2	1	no	—
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	—	2	1	no	—
1147	C₄×D₄	—	2	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	5	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1163	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1164	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1165	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1166	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1167	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1168	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1169	#117	—	2	1	no	—
1170	#117	—	2	1	no	—
1171	#117	—	2	1	no	—
1172	#117	—	2	1	no	—
1173	#117	—	2	1	no	—
1174	#117	—	2	1	no	—
1175	#117	—	2	1	no	—
1176	#117	—	5	1	no	—
1177	#117	—	5	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	—	10	1	no	—
1183	#117	C₂²×D₅	1	1	yes	characteristic
1184	#117	C₂²×D₅	1	1	yes	characteristic
1185	#117	C₂²×D₅	1	1	yes	characteristic
1186	#117	C₂²×D₅	1	1	yes	characteristic
1187	C₂×C₄⋊C₄	—	2	1	no	—
1188	C₂×C₄⋊C₄	—	5	1	no	—
1189	C₂×C₄⋊C₄	—	10	1	no	—
1190	C₂×C₄⋊C₄	—	10	1	no	—
1191	C₂×C₄⋊C₄	—	10	1	no	—
1192	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	—	10	1	no	—
1194	C₂×C₂²⋊C₄	—	10	1	no	—
1195	C₂×C₂²⋊C₄	—	10	1	no	—
1196	C₂×C₂²⋊C₄	—	10	1	no	—
1197	C₂×C₄²	—	2	1	no	—
1198	C₂×C₄²	—	10	1	no	—
1199	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1200	#107	—	5	1	no	—
1201	#107	—	5	1	no	—
1202	#107	—	5	1	no	—
1203	#107	—	5	1	no	—
1204	#107	—	5	1	no	—
1205	#107	—	5	1	no	—
1206	#107	—	5	1	no	—
1207	#107	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	#106	—	5	1	no	—
1212	#106	—	5	1	no	—
1213	#106	—	5	1	no	—
1214	#106	—	5	1	no	—
1215	#106	—	5	1	no	—
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	—	5	1	no	—
1218	C₄⋊C₈	—	5	1	no	—
1219	C₄⋊C₈	—	5	1	no	—
1220	C₄⋊C₈	—	5	1	no	—
1221	C₄⋊C₈	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	—	5	1	no	—
1248	#102	—	5	1	no	—
1249	#102	—	5	1	no	—
1250	#102	—	5	1	no	—
1251	#102	—	5	1	no	—
1252	#102	—	5	1	no	—
1253	#102	—	5	1	no	—
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	—	5	1	no	—
1258	C₂²⋊C₈	—	5	1	no	—
1259	C₂²⋊C₈	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	—	5	1	no	—
1263	#97	—	5	1	no	—
1264	C₄×C₈	—	5	1	no	—
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	—	5	1	no	—
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	—	5	1	no	—
1270	C₂²×C₅	—	2	1	no	—
1271	C₂²×C₅	—	2	1	no	—
1272	C₂²×C₅	—	2	1	no	—
1273	C₂²×C₅	—	2	1	no	—
1274	C₂²×C₅	—	2	1	no	—
1275	C₂²×C₅	—	2	1	no	—
1276	C₂²×C₅	—	2	1	no	—
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	4	1	no	—
1280	C₂²×C₅	—	4	1	no	—
1281	C₂²×C₅	—	4	1	no	—
1282	C₂²×C₅	—	4	1	no	—
1283	C₂²×C₅	—	4	1	no	—
1284	C₂²×C₅	—	4	1	no	—
1285	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1286	C₂×D₅	—	2	2	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	4	1	no	—
1290	C₂×D₅	—	4	1	no	—
1291	C₂×D₅	—	4	1	no	—
1292	C₂×D₅	—	16	2	no	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	2	1	no	—
1295	C₄×C₅	—	2	1	no	—
1296	C₄×C₅	—	2	1	no	—
1297	C₄×C₅	—	2	1	no	—
1298	C₄×C₅	—	2	1	no	—
1299	C₄×C₅	—	2	1	no	—
1300	C₄×C₅	—	2	1	no	—
1301	C₄×C₅	—	2	1	no	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	2	no	—
1305	C₄×C₅	—	4	1	no	—
1306	C₄×C₅	—	4	1	no	—
1307	C₄×C₅	—	4	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1311	C₄×C₅	#585	1	1	yes	characteristic
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	—	4	1	no	—
1318	C₂⁴	—	10	1	no	—
1319	#41	—	2	2	no	—
1320	#41	—	2	2	no	—
1321	#41	—	4	1	no	—
1322	#41	—	4	1	no	—
1323	#41	—	10	2	no	—
1324	#41	—	10	2	no	—
1325	#41	—	20	1	no	—
1326	#41	—	20	1	no	—
1327	C₂×Q₈	—	2	1	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	2	2	no	—
1330	C₂×Q₈	—	4	1	no	—
1331	C₂×Q₈	—	5	1	no	—
1332	C₂×Q₈	—	5	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	C₂×C₂²⋊D₅	1	1	yes	characteristic
1335	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1336	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1337	C₂×D₄	—	2	1	no	—
1338	C₂×D₄	—	2	1	no	—
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	2	1	no	—
1342	C₂×D₄	—	2	1	no	—
1343	C₂×D₄	—	2	1	no	—
1344	C₂×D₄	—	2	1	no	—
1345	C₂×D₄	—	5	1	no	—
1346	C₂×D₄	—	5	1	no	—
1347	C₂×D₄	—	10	2	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	20	1	no	—
1354	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1355	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1356	C₂×D₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1357	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1358	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1359	C₂²×C₄	—	2	1	no	—
1360	C₂²×C₄	—	2	1	no	—
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	2	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1377	C₂²×C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1378	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1379	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1380	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1381	Q₁₆	—	10	2	no	—
1382	Q₁₆	—	10	2	no	—
1383	Q₁₆	—	20	1	no	—
1384	Q₁₆	—	20	1	no	—
1385	SD₁₆	—	5	4	no	—
1386	SD₁₆	—	10	2	no	—
1387	SD₁₆	—	10	2	no	—
1388	SD₁₆	—	10	2	no	—
1389	SD₁₆	—	10	2	no	—
1390	SD₁₆	—	10	2	no	—
1391	SD₁₆	—	20	1	no	—
1392	SD₁₆	—	20	1	no	—
1393	D₈	—	10	2	no	—
1394	D₈	—	10	2	no	—
1395	D₈	—	20	1	no	—
1396	D₈	—	20	1	no	—
1397	M₁₆	—	20	1	no	—
1398	M₁₆	—	20	1	no	—
1399	C₂×C₈	—	5	1	no	—
1400	C₂×C₈	—	5	1	no	—
1401	C₂×C₈	—	5	1	no	—
1402	C₂×C₈	—	5	1	no	—
1403	C₂×C₈	—	5	1	no	—
1404	C₂×C₈	—	5	1	no	—
1405	C₂×C₈	—	5	1	no	—
1406	C₂×C₈	—	5	1	no	—
1407	C₂×C₈	—	10	2	no	—
1408	C₂×C₈	—	10	2	no	—
1409	C₂×C₈	—	10	2	no	—
1410	C₂×C₈	—	20	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	5	1	no	—
1426	C₄⋊C₄	—	5	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1449	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1450	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1451	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1452	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1453	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1454	C₄⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1455	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1456	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1457	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1458	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	2	1	no	—
1467	C₂²⋊C₄	—	2	1	no	—
1468	C₂²⋊C₄	—	2	1	no	—
1469	C₂²⋊C₄	—	2	1	no	—
1470	C₂²⋊C₄	—	2	1	no	—
1471	C₂²⋊C₄	—	2	1	no	—
1472	C₂²⋊C₄	—	2	1	no	—
1473	C₂²⋊C₄	—	2	1	no	—
1474	C₂²⋊C₄	—	2	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1494	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
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	C₂×C₂²⋊D₅	1	1	yes	characteristic
1499	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1500	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1501	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1502	C₂²⋊C₄	C₂×C₂²⋊D₅	1	1	yes	characteristic
1503	C₄²	—	2	1	no	—
1504	C₄²	—	2	1	no	—
1505	C₄²	—	2	1	no	—
1506	C₄²	—	2	1	no	—
1507	C₄²	—	2	1	no	—
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1518	C₄²	C₂×C₂²⋊D₅	1	1	yes	characteristic
1519	C₄²	C₂³×D₅	1	1	yes	characteristic
1520	C₄²	C₂³×D₅	1	1	yes	characteristic
1521	C₄²	C₂³×D₅	1	1	yes	characteristic
1522	C₄²	C₂³×D₅	1	1	yes	characteristic
1523	C₂×C₅	—	4	1	no	—
1524	C₂×C₅	—	4	1	no	—
1525	C₂×C₅	—	4	1	no	—
1526	C₂×C₅	—	8	1	no	—
1527	C₂×C₅	—	8	1	no	—
1528	C₂×C₅	D₄×#41	1	1	yes	characteristic
1529	C₂×C₅	#3584	1	1	yes	characteristic
1530	C₂×C₅	#3584	1	1	yes	characteristic
1531	D₅	—	4	2	no	—
1532	D₅	—	8	1	no	—
1533	C₂³	—	2	1	no	—
1534	C₂³	—	2	1	no	—
1535	C₂³	—	10	1	no	—
1536	C₂³	—	10	1	no	—
1537	C₂³	—	20	2	no	—
1538	C₂³	—	40	1	no	—
1539	C₂³	—	40	1	no	—
1540	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1541	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1542	C₂³	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1543	Q₈	—	2	1	no	—
1544	Q₈	—	2	1	no	—
1545	Q₈	—	2	1	no	—
1546	Q₈	—	4	1	no	—
1547	Q₈	—	4	2	no	—
1548	Q₈	—	8	1	no	—
1549	Q₈	—	10	1	no	—
1550	Q₈	—	10	1	no	—
1551	Q₈	—	10	1	no	—
1552	Q₈	—	10	1	no	—
1553	Q₈	—	40	1	no	—
1554	Q₈	D₅×#41	1	2	yes	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	2	no	—
1563	D₄	—	4	2	no	—
1564	D₄	—	5	2	no	—
1565	D₄	—	8	1	no	—
1566	D₄	—	8	1	no	—
1567	D₄	—	8	1	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	10	1	no	—
1572	D₄	—	10	1	no	—
1573	D₄	—	10	1	no	—
1574	D₄	—	20	2	no	—
1575	D₄	—	20	2	no	—
1576	D₄	—	20	2	no	—
1577	D₄	—	40	1	no	—
1578	D₄	—	40	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	4	1	no	—
1592	C₂×C₄	—	4	1	no	—
1593	C₂×C₄	—	4	2	no	—
1594	C₂×C₄	—	4	2	no	—
1595	C₂×C₄	—	4	2	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	8	1	no	—
1600	C₂×C₄	—	8	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	10	1	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	10	1	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	10	1	no	—
1607	C₂×C₄	—	20	2	no	—
1608	C₂×C₄	—	20	2	no	—
1609	C₂×C₄	—	40	1	no	—
1610	C₂×C₄	—	40	1	no	—
1611	C₂×C₄	—	40	1	no	—
1612	C₂×C₄	—	40	1	no	—
1613	C₂×C₄	—	40	1	no	—
1614	C₂×C₄	—	40	1	no	—
1615	C₂×C₄	—	40	1	no	—
1616	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1617	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1618	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1619	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1620	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1621	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1622	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1623	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂²×C₂²⋊D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1628	C₈	—	5	2	no	—
1629	C₈	—	10	1	no	—
1630	C₈	—	10	1	no	—
1631	C₈	—	10	1	no	—
1632	C₈	—	10	1	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	—	10	1	no	—
1636	C₅	#61486	1	1	yes	characteristic, complemented, Sylow
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	1	no	—
1644	C₂²	—	2	1	no	—
1645	C₂²	—	2	1	no	—
1646	C₂²	—	4	1	no	—
1647	C₂²	—	4	1	no	—
1648	C₂²	—	4	1	no	—
1649	C₂²	—	4	1	no	—
1650	C₂²	—	4	1	no	—
1651	C₂²	—	4	1	no	—
1652	C₂²	—	10	2	no	—
1653	C₂²	—	20	1	no	—
1654	C₂²	—	20	1	no	—
1655	C₂²	—	20	1	no	—
1656	C₂²	—	20	1	no	—
1657	C₂²	—	20	1	no	—
1658	C₂²	—	80	2	no	—
1659	C₂²	C₂³×C₂²⋊D₅	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	2	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	1	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	20	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	C₂×D₅×#41	1	1	yes	characteristic
1684	C₄	#66283	1	1	yes	characteristic
1685	C₂	—	4	1	no	—
1686	C₂	—	4	1	no	—
1687	C₂	—	4	1	no	—
1688	C₂	—	8	1	no	—
1689	C₂	—	8	1	no	—
1690	C₂	—	20	2	no	—
1691	C₂	—	40	1	no	—
1692	C₂	#41×C₂²⋊D₅	1	1	yes	characteristic
1693	C₂	#10619198	1	1	yes	characteristic
1694	C₂	#10619198	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×#3524	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3524	D₅
hypocenter	C₅	#61486
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #529 ◁ #3524

Complements

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

N	H ≅ G/N	type
1. C₅×#3524	C₂	semidirect
2. #10618071	C₂	semidirect
3. #10615445	C₂	semidirect
4. #10615441	C₂	semidirect
5. #10615431	C₂	semidirect
6. #10615424	C₂	semidirect
7. #10615384	C₂	semidirect
8. #10615377	C₂	semidirect
9. #10615348	C₂	semidirect
10. #10615337	C₂	semidirect
11. #10615331	C₂	semidirect
12. #10615322	C₂	semidirect
13. #10615310	C₂	semidirect
14. #10615303	C₂	semidirect
15. #10615276	C₂	semidirect
16. #10615276	C₂	semidirect
17. #10615272	C₂	semidirect
18. #10615268	C₂	semidirect
19. #10615192	C₂	semidirect
20. #10615187	C₂	semidirect
21. #10615166	C₂	semidirect
22. #10615162	C₂	semidirect
23. #10614873	C₂	semidirect
24. #10614865	C₂	semidirect
25. #10614857	C₂	semidirect
26. #10614300	C₂	semidirect
27. #10614289	C₂	semidirect
28. #10614286	C₂	semidirect
29. #10614279	C₂	semidirect
30. #10614261	C₂	semidirect
31. C₄×#4096	C₂	semidirect
33. C₅×#559	C₂²	semidirect
34. C₅×#557	C₂²	semidirect
40. C₅×#552	C₂²	semidirect
41. C₅×#550	C₂²	semidirect
45. C₅×#542	C₂²	semidirect
51. C₅×#529	C₂²	semidirect
52. C₅×#520	C₂²	semidirect
54. C₄×C₅×#41	C₂²	semidirect
80. #65528	C₂²	semidirect
81. #65528	C₂²	semidirect
84. #65522	C₂²	semidirect
85. #65521	C₂²	semidirect
89. #65380	C₂²	semidirect
92. #65368	C₂²	semidirect
93. #65365	C₂²	semidirect
96. #65360	C₂²	semidirect
97. #65358	C₂²	semidirect
102. #65353	C₂²	semidirect
103. #65353	C₂²	semidirect
104. #65352	C₂²	semidirect
109. #65345	C₂²	semidirect
110. #65344	C₂²	semidirect
111. #65343	C₂²	semidirect
112. #65343	C₂²	semidirect
113. #65341	C₂²	semidirect
114. #65340	C₂²	semidirect
119. #65334	C₂²	semidirect
120. #65333	C₂²	semidirect
125. #65330	C₂²	semidirect
126. #65330	C₂²	semidirect
135. #65324	C₂²	semidirect
136. #65322	C₂²	semidirect
137. #65320	C₂²	semidirect
138. #65320	C₂²	semidirect
139. #65319	C₂²	semidirect
140. #65319	C₂²	semidirect
141. #65319	C₂²	semidirect
142. C₄×#689	C₂²	semidirect
143. C₄×#689	C₂²	semidirect
144. C₄×#689	C₂²	semidirect
157. #65313	C₂²	semidirect
158. Q₈×#168	C₂²	semidirect
159. #65311	C₂²	semidirect
160. #65311	C₂²	semidirect
161. #65311	C₂²	semidirect
162. #65310	C₂²	semidirect
163. #65307	C₂²	semidirect
164. #65307	C₂²	semidirect
165. C₄×#687	C₂²	semidirect
166. C₄×#687	C₂²	semidirect
167. C₄×#687	C₂²	semidirect
168. C₄×#687	C₂²	semidirect
179. #65300	C₂²	semidirect
182. D₄×#168	C₂²	semidirect
183. #65298	C₂²	semidirect
184. #65296	C₂²	semidirect
189. #65289	C₂²	semidirect
191. #65287	C₂²	semidirect
193. #65286	C₂²	semidirect
196. #65285	C₂²	semidirect
197. #65259	C₂²	semidirect
200. C₂×#3940	C₂²	semidirect
201. #65215	C₂²	semidirect
202. C₂×C₄×#168	C₂²	semidirect
482. #3524	D₅	semidirect
722. #559	C₂×D₅	semidirect
723. #557	C₂×D₅	semidirect
736. #552	C₂×D₅	semidirect
739. #550	C₂×D₅	semidirect
747. #542	C₂×D₅	semidirect
758. #529	C₂×D₅	semidirect
761. #520	C₂×D₅	semidirect
765. C₄×#41	C₂×D₅	semidirect
1636. C₅	#61486	semidirect

Maximal subgroups

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

subgroup	index
C₅×#3524	2
#10618071	2
#10615445	2
#10615441	2
#10615431	2
#10615424	2
#10615384	2
#10615377	2
#10615348	2
#10615337	2
#10615331	2
#10615322	2
#10615310	2
#10615303	2
#10615276	2
#10615272	2
#10615268	2
#10615192	2
#10615187	2
#10615166	2
#10615162	2
#10614873	2
#10614865	2
#10614857	2
#10614300	2
#10614289	2
#10614286	2
#10614279	2
#10614261	2
C₄×#4096	2
#61486	5