Subgroups — #12994972

Order 1280.

1730 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618065	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617718	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3108	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614880	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#65311	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613167	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613166	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613023	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613022	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612968	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612967	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612960	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#479	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612354	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612307	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612300	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612299	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611925	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611924	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611781	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611780	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611472	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611467	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611438	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611431	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611420	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611410	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611364	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611351	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611022	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611005	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#529	C₂²	1	1	yes	characteristic
33	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
34	#66151	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	#66041	—	2	1	no	—
37	#66035	—	2	1	no	—
38	#66022	C₂²	1	1	yes	characteristic
39	D₅×#125	C₂²	1	1	yes	characteristic
40	#66014	C₂²	1	1	yes	characteristic
41	#66014	C₂²	1	1	yes	characteristic
42	#65989	—	2	1	no	—
43	#65984	—	2	1	no	—
44	#65976	C₂²	1	1	yes	characteristic
45	#65969	C₂²	1	1	yes	characteristic
46	#65952	C₂²	1	1	yes	characteristic
47	#65945	C₂²	1	1	yes	characteristic
48	#65915	—	2	1	no	—
49	#65915	C₂²	1	1	yes	characteristic
50	#65915	C₂²	1	1	yes	characteristic
51	#65914	—	2	1	no	—
52	#65914	C₂²	1	1	yes	characteristic
53	#65912	—	2	1	no	—
54	#65912	C₂²	1	1	yes	characteristic
55	#65910	C₂²	1	1	yes	characteristic
56	C₄×#713	C₂²	1	1	yes	characteristic
57	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
58	#65903	C₂²	1	1	yes	characteristic
59	#65903	C₂²	1	1	yes	characteristic
60	#65902	—	2	1	no	—
61	#65902	C₂²	1	1	yes	characteristic
62	#65898	—	2	1	no	—
63	#65892	C₂²	1	1	yes	characteristic
64	#65880	—	2	1	no	—
65	#65873	C₂²	1	1	yes	characteristic
66	#65865	—	2	1	no	—
67	#65863	—	2	1	no	—
68	#65847	—	2	1	no	—
69	#65847	C₂²	1	1	yes	characteristic
70	#65841	—	2	1	no	—
71	#65841	C₂²	1	1	yes	characteristic
72	#65813	—	2	1	no	—
73	#65813	C₂²	1	1	yes	characteristic
74	C₄×#709	—	2	1	no	—
75	C₄×#709	C₂²	1	1	yes	characteristic
76	C₂×#4016	C₂²	1	1	yes	characteristic
77	C₅×#483	C₂²	1	1	yes	characteristic
78	C₅×#480	C₂²	1	1	yes	characteristic
79	C₅×#479	C₂²	1	1	yes	characteristic
80	C₅×#479	C₂²	1	1	yes	characteristic
81	C₅×#464	C₂²	1	1	yes	characteristic
82	C₅×#464	C₂²	1	1	yes	characteristic
83	C₅×#451	C₂²	1	1	yes	characteristic
84	C₅×#448	C₂²	1	1	yes	characteristic
85	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
86	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
87	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
88	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
89	C₅×#431	C₂²	1	1	yes	characteristic
90	C₂×#3967	C₂²	1	1	yes	characteristic
91	C₂×#3967	C₂²	1	1	yes	characteristic
92	#65477	C₂²	1	1	yes	characteristic
93	#65477	C₂²	1	1	yes	characteristic
94	#65476	C₂²	1	1	yes	characteristic
95	#65475	C₂²	1	1	yes	characteristic
96	#65474	C₂²	1	1	yes	characteristic
97	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	#65471	C₂²	1	1	yes	characteristic
100	#65461	C₂²	1	1	yes	characteristic
101	#65460	C₂²	1	1	yes	characteristic
102	#65460	C₂²	1	1	yes	characteristic
103	#65459	C₂²	1	1	yes	characteristic
104	#65454	C₂²	1	1	yes	characteristic
105	#65451	C₂²	1	1	yes	characteristic
106	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
108	#65355	C₂²	1	1	yes	characteristic
109	#65352	C₂²	1	1	yes	characteristic
110	#65346	C₂²	1	1	yes	characteristic
111	#65343	C₂²	1	1	yes	characteristic
112	#65340	C₂²	1	1	yes	characteristic
113	#65337	C₂²	1	1	yes	characteristic
114	#65330	C₂²	1	1	yes	characteristic
115	#65327	C₂²	1	1	yes	characteristic
116	#65317	C₂²	1	1	yes	characteristic
117	#65311	C₂²	1	1	yes	characteristic
118	#65311	C₂²	1	1	yes	characteristic
119	#65311	C₂²	1	1	yes	characteristic
120	#65311	C₂²	1	1	yes	characteristic
121	#65311	C₂²	1	1	yes	characteristic
122	#65311	C₂²	1	1	yes	characteristic
123	#65311	C₂²	1	1	yes	characteristic
124	#65311	C₂²	1	1	yes	characteristic
125	#65311	C₂²	1	1	yes	characteristic
126	#65305	C₂²	1	1	yes	characteristic
127	#65298	C₂²	1	1	yes	characteristic
128	C₂×#3940	C₂²	1	1	yes	characteristic
129	C₂×#3939	C₂²	1	1	yes	characteristic
130	C₂×C₄⋊#168	C₂²	1	1	yes	characteristic
131	#65179	C₂²	1	1	yes	characteristic
132	#65177	C₂²	1	1	yes	characteristic
133	#65171	C₂²	1	1	yes	characteristic
134	#65169	C₂²	1	1	yes	characteristic
135	D₅×#107	C₂²	1	1	yes	characteristic
136	#65167	C₂²	1	1	yes	characteristic
137	#65166	C₂²	1	1	yes	characteristic
138	#65163	C₂²	1	1	yes	characteristic
139	#65159	C₂²	1	1	yes	characteristic
140	#65156	C₂²	1	1	yes	characteristic
141	#65152	C₂²	1	1	yes	characteristic
142	#65149	C₂²	1	1	yes	characteristic
143	D₅×#106	C₂²	1	1	yes	characteristic
144	#65147	C₂²	1	1	yes	characteristic
145	#65146	C₂²	1	1	yes	characteristic
146	#65144	C₂²	1	1	yes	characteristic
147	#65136	C₂²	1	1	yes	characteristic
148	#65136	C₂²	1	1	yes	characteristic
149	#65122	C₂²	1	1	yes	characteristic
150	#65122	C₂²	1	1	yes	characteristic
151	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
152	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
153	#65118	C₂²	1	1	yes	characteristic
154	#65118	C₂²	1	1	yes	characteristic
155	#65104	C₂²	1	1	yes	characteristic
156	#65104	C₂²	1	1	yes	characteristic
157	#65103	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65098	C₂²	1	1	yes	characteristic
160	#65096	C₂²	1	1	yes	characteristic
161	#65094	C₂²	1	1	yes	characteristic
162	#65094	C₂²	1	1	yes	characteristic
163	#65093	C₂²	1	1	yes	characteristic
164	#65093	C₂²	1	1	yes	characteristic
165	D₅×#103	C₂²	1	1	yes	characteristic
166	D₅×#103	C₂²	1	1	yes	characteristic
167	#65089	C₂²	1	1	yes	characteristic
168	#65089	C₂²	1	1	yes	characteristic
169	#65088	C₂²	1	1	yes	characteristic
170	#65088	C₂²	1	1	yes	characteristic
171	#65085	C₂²	1	1	yes	characteristic
172	#65083	C₂²	1	1	yes	characteristic
173	#65081	C₂²	1	1	yes	characteristic
174	#65081	C₂²	1	1	yes	characteristic
175	#65080	C₂²	1	1	yes	characteristic
176	#65080	C₂²	1	1	yes	characteristic
177	#65079	C₂²	1	1	yes	characteristic
178	#65077	C₂²	1	1	yes	characteristic
179	#65073	C₂²	1	1	yes	characteristic
180	#65067	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic
182	#65063	C₂²	1	1	yes	characteristic
183	#65055	C₂²	1	1	yes	characteristic
184	#65048	C₂²	1	1	yes	characteristic
185	#65047	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65025	C₂²	1	1	yes	characteristic
188	#65024	C₂²	1	1	yes	characteristic
189	#65014	C₂²	1	1	yes	characteristic
190	#65014	C₂²	1	1	yes	characteristic
191	#65014	C₂²	1	1	yes	characteristic
192	#65014	C₂²	1	1	yes	characteristic
193	#65011	C₂²	1	1	yes	characteristic
194	#65010	C₂²	1	1	yes	characteristic
195	#64986	C₂²	1	1	yes	characteristic
196	#64986	C₂²	1	1	yes	characteristic
197	C₈×D₂₀	C₂²	1	1	yes	characteristic
198	C₈×D₂₀	C₂²	1	1	yes	characteristic
199	#64972	C₂²	1	1	yes	characteristic
200	#64972	C₂²	1	1	yes	characteristic
201	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
203	#62104	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	—	2	1	no	—
208	C₂×#709	—	2	1	no	—
209	C₂×#709	D₄	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
212	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₅×#126	—	2	1	no	—
215	C₅×#125	C₂³	1	1	yes	characteristic
216	C₅×#124	C₂³	1	1	yes	characteristic
217	C₅×#123	—	2	1	no	—
218	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×#121	C₂³	1	1	yes	characteristic
220	C₄×C₅×Q₈	—	2	1	no	—
221	C₄×C₅×Q₈	—	2	1	no	—
222	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
223	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	—	2	1	no	—
228	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
229	C₅×#117	—	2	1	no	—
230	C₂×C₅×C₄⋊C₄	—	2	1	no	—
231	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₅	—	2	1	no	—
233	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
234	#4093	—	2	1	no	—
235	#4093	C₂³	1	1	yes	characteristic
236	#4092	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	C₂³	1	1	yes	characteristic
239	#4092	C₂³	1	1	yes	characteristic
240	#4092	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	#4090	—	2	1	no	—
247	#4090	C₂³	1	1	yes	characteristic
248	C₂×#689	C₂³	1	1	yes	characteristic
249	C₂×#688	C₂³	1	1	yes	characteristic
250	#4085	—	2	1	no	—
251	#4084	C₂³	1	1	yes	characteristic
252	#4084	C₂³	1	1	yes	characteristic
253	#4081	—	2	1	no	—
254	D₄×Dic₅	—	2	1	no	—
255	D₄×Dic₅	C₂³	1	1	yes	characteristic
256	D₄×Dic₅	C₂³	1	1	yes	characteristic
257	C₂×#687	C₂³	1	1	yes	characteristic
258	C₂×#686	C₂³	1	1	yes	characteristic
259	#4076	—	2	1	no	—
260	#4076	C₂³	1	1	yes	characteristic
261	#4075	—	2	1	no	—
262	#4075	—	2	1	no	—
263	#4075	—	2	1	no	—
264	#4075	—	2	1	no	—
265	C₄×C₂²⋊D₅	—	2	1	no	—
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
270	C₄×C₂²⋊D₅	D₄	1	1	yes	characteristic
271	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
272	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
273	#4072	—	2	1	no	—
274	#4072	D₄	1	1	yes	characteristic
275	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
277	#4070	—	2	1	no	—
278	#4070	—	2	1	no	—
279	#4070	C₂³	1	1	yes	characteristic
280	C₂×#683	—	2	1	no	—
281	C₂×#683	—	2	1	no	—
282	C₂×#683	—	2	1	no	—
283	C₂²×#168	C₂³	1	1	yes	characteristic
284	C₂²×#168	C₂³	1	1	yes	characteristic
285	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
286	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
287	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
288	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
289	#4044	—	2	1	no	—
290	#4044	—	2	1	no	—
291	#4044	—	2	1	no	—
292	#4044	—	2	1	no	—
293	#4043	—	2	1	no	—
294	#4043	—	2	1	no	—
295	#4043	C₂³	1	1	yes	characteristic
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4042	—	2	1	no	—
300	#4042	—	2	1	no	—
301	#4041	—	2	1	no	—
302	#4041	C₂³	1	1	yes	characteristic
303	#4040	—	2	1	no	—
304	#4040	—	2	1	no	—
305	#4040	—	2	1	no	—
306	#4040	—	2	1	no	—
307	#4039	—	2	1	no	—
308	#4039	C₂³	1	1	yes	characteristic
309	#4038	—	2	1	no	—
310	#4038	C₂³	1	1	yes	characteristic
311	#4038	C₂³	1	1	yes	characteristic
312	#4038	C₂³	1	1	yes	characteristic
313	D₅×C₄⋊C₄	—	2	1	no	—
314	D₅×C₄⋊C₄	—	2	1	no	—
315	D₅×C₄⋊C₄	—	2	1	no	—
316	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
319	#4036	—	2	1	no	—
320	#4036	—	2	1	no	—
321	#4036	—	2	1	no	—
322	#4036	C₂³	1	1	yes	characteristic
323	#4036	C₂³	1	1	yes	characteristic
324	#4036	C₂³	1	1	yes	characteristic
325	#4035	—	2	1	no	—
326	#4035	—	2	1	no	—
327	#4035	—	2	1	no	—
328	#4035	—	2	1	no	—
329	#4035	—	2	1	no	—
330	#4035	—	2	1	no	—
331	#4035	—	2	1	no	—
332	#4034	—	2	1	no	—
333	#4034	—	2	1	no	—
334	#4034	C₂³	1	1	yes	characteristic
335	#4034	C₂³	1	1	yes	characteristic
336	#4034	C₂³	1	1	yes	characteristic
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	C₂³	1	1	yes	characteristic
341	#4032	—	2	1	no	—
342	#4032	—	2	1	no	—
343	#4030	—	2	1	no	—
344	#4029	—	2	1	no	—
345	#4029	—	2	1	no	—
346	#4029	—	2	1	no	—
347	#4027	—	2	1	no	—
348	#4027	—	2	1	no	—
349	#4027	—	2	1	no	—
350	#4025	—	2	1	no	—
351	#4025	—	2	1	no	—
352	#4025	—	2	1	no	—
353	#4025	—	2	1	no	—
354	#4024	—	2	1	no	—
355	#4024	—	2	1	no	—
356	#4024	—	2	1	no	—
357	#4024	—	2	1	no	—
358	#4023	—	2	1	no	—
359	#4023	—	2	1	no	—
360	#4023	—	2	1	no	—
361	#4022	—	2	1	no	—
362	#4022	—	2	1	no	—
363	#4022	—	2	1	no	—
364	#4022	—	2	1	no	—
365	#4021	—	2	1	no	—
366	#4021	C₂³	1	1	yes	characteristic
367	C₄×D₂₀	—	2	1	no	—
368	C₄×D₂₀	—	2	1	no	—
369	C₄×D₂₀	—	2	1	no	—
370	C₄×D₂₀	D₄	1	1	yes	characteristic
371	C₄×D₂₀	C₂³	1	1	yes	characteristic
372	C₄×D₂₀	C₂³	1	1	yes	characteristic
373	#4018	—	2	1	no	—
374	#4018	—	2	1	no	—
375	#4018	—	2	1	no	—
376	#4018	—	2	1	no	—
377	#4018	—	2	1	no	—
378	#4018	—	2	1	no	—
379	#4018	D₄	1	1	yes	characteristic
380	#4018	D₄	1	1	yes	characteristic
381	C₄²×D₅	—	2	1	no	—
382	C₄²×D₅	—	2	1	no	—
383	C₄²×D₅	C₂³	1	1	yes	characteristic
384	C₄²×D₅	C₂³	1	1	yes	characteristic
385	#4016	—	2	1	no	—
386	#4016	—	2	1	no	—
387	#4016	—	2	1	no	—
388	#4016	—	2	1	no	—
389	#4016	C₂³	1	1	yes	characteristic
390	#4016	C₂³	1	1	yes	characteristic
391	#4016	C₂³	1	1	yes	characteristic
392	#4016	C₂³	1	1	yes	characteristic
393	#4016	C₂³	1	1	yes	characteristic
394	C₄×Dic₁₀	—	2	1	no	—
395	C₄×Dic₁₀	—	2	1	no	—
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	D₄	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×#106	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×#103	C₂³	1	1	yes	characteristic
408	C₅×#103	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
417	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
418	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3952	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3950	C₂³	1	1	yes	characteristic
441	#3950	C₂³	1	1	yes	characteristic
442	#3950	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	C₈×Dic₅	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	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	#3515	—	5	1	no	—
480	#3482	—	5	1	no	—
481	#3383	—	5	1	no	—
482	#3381	—	5	1	no	—
483	#3364	—	5	1	no	—
484	#3360	—	5	1	no	—
485	#3337	—	5	1	no	—
486	#3337	—	5	1	no	—
487	#3336	—	5	1	no	—
488	#3336	—	5	1	no	—
489	#3335	—	5	1	no	—
490	#3334	—	5	1	no	—
491	#3301	—	5	1	no	—
492	#3301	—	5	1	no	—
493	#3300	—	5	1	no	—
494	#3300	—	5	1	no	—
495	#3299	—	5	1	no	—
496	#3298	—	5	1	no	—
497	#3250	—	5	1	no	—
498	#3250	—	5	1	no	—
499	#3248	—	5	1	no	—
500	#3232	—	5	1	no	—
501	#3232	—	5	1	no	—
502	#3231	—	5	1	no	—
503	#3108	—	5	1	no	—
504	#3108	D₅	1	1	yes	characteristic, complemented
505	#3102	—	5	1	no	—
506	#3076	—	5	1	no	—
507	C₂×#479	—	5	1	no	—
508	C₂×#479	—	5	1	no	—
509	#2988	—	5	1	no	—
510	C₂×C₅×Q₈	—	2	1	no	—
511	C₂×C₅×Q₈	—	2	2	no	—
512	C₂×C₅×Q₈	—	4	1	no	—
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
522	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
523	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
528	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
529	C₂²×Dic₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	#713	—	2	2	no	—
534	#713	—	4	1	no	—
535	Q₈×D₅	—	2	2	no	—
536	Q₈×D₅	—	4	1	no	—
537	#711	—	4	4	no	—
538	#709	—	2	4	no	—
539	#709	—	4	4	no	—
540	C₂×D₂₀	—	2	1	no	—
541	C₂×D₂₀	—	2	1	no	—
542	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
543	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
544	C₂×C₄×D₅	—	2	1	no	—
545	C₂×C₄×D₅	—	2	1	no	—
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
552	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
557	C₂×Dic₁₀	—	2	1	no	—
558	C₂×Dic₁₀	—	2	1	no	—
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
562	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
563	C₅×Q₁₆	—	2	2	no	—
564	C₅×Q₁₆	—	4	1	no	—
565	C₅×SD₁₆	—	2	2	no	—
566	C₅×SD₁₆	—	4	1	no	—
567	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
568	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
584	C₅×C₂²⋊C₄	—	2	1	no	—
585	C₅×C₂²⋊C₄	—	2	1	no	—
586	C₅×C₂²⋊C₄	—	2	1	no	—
587	C₅×C₂²⋊C₄	—	2	1	no	—
588	C₅×C₂²⋊C₄	—	2	1	no	—
589	C₄²×C₅	—	2	1	no	—
590	C₄²×C₅	—	2	1	no	—
591	C₄²×C₅	—	2	1	no	—
592	C₄²×C₅	—	2	1	no	—
593	C₄²×C₅	—	2	1	no	—
594	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
595	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
596	C₄²×C₅	C₂⁴	1	1	yes	characteristic
597	C₄²×C₅	C₂⁴	1	1	yes	characteristic
598	C₂²⋊Dic₅	—	2	1	no	—
599	C₂²⋊Dic₅	—	2	1	no	—
600	C₂²⋊Dic₅	—	2	1	no	—
601	C₂²⋊Dic₅	—	2	1	no	—
602	C₂²⋊Dic₅	—	2	1	no	—
603	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
604	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
605	#689	—	4	1	no	—
606	#688	—	4	1	no	—
607	#687	—	4	1	no	—
608	#686	—	4	1	no	—
609	#685	—	2	1	no	—
610	#685	—	2	1	no	—
611	#685	—	2	1	no	—
612	#685	—	2	1	no	—
613	#685	—	2	1	no	—
614	#685	—	2	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	C₂×D₄	1	1	yes	characteristic
626	#685	C₂×D₄	1	1	yes	characteristic
627	#685	C₂×D₄	1	1	yes	characteristic
628	#685	C₂×D₄	1	1	yes	characteristic
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
633	C₄⋊Dic₅	—	2	1	no	—
634	C₄⋊Dic₅	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	—	2	1	no	—
639	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
645	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
646	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
690	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
693	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
694	C₂×#168	—	4	1	no	—
695	C₂×#168	—	4	1	no	—
696	C₂×#168	C₂⁴	1	1	yes	characteristic
697	C₂×#168	C₂⁴	1	1	yes	characteristic
698	C₂×#168	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₈×D₅	—	4	1	no	—
701	C₈×D₅	—	4	1	no	—
702	C₈×D₅	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	#557	—	5	1	no	—
705	#557	—	5	1	no	—
706	#556	—	5	1	no	—
707	#556	—	10	1	no	—
708	#554	—	5	1	no	—
709	#554	—	5	1	no	—
710	#553	—	5	1	no	—
711	#553	—	5	1	no	—
712	#552	—	5	1	no	—
713	#552	—	5	1	no	—
714	#552	—	5	1	no	—
715	#552	—	5	1	no	—
716	#552	—	10	1	no	—
717	#552	—	10	1	no	—
718	#552	—	10	1	no	—
719	#552	—	10	1	no	—
720	#552	—	10	1	no	—
721	D₄×Q₈	—	5	1	no	—
722	#548	—	5	1	no	—
723	#548	—	5	1	no	—
724	#547	—	5	1	no	—
725	#547	—	5	1	no	—
726	#547	—	10	1	no	—
727	#547	—	10	1	no	—
728	#541	—	10	1	no	—
729	#539	—	10	1	no	—
730	#539	—	10	1	no	—
731	#533	—	5	1	no	—
732	#533	—	5	1	no	—
733	#533	—	10	1	no	—
734	#529	—	5	1	no	—
735	#529	—	5	1	no	—
736	#529	—	5	1	no	—
737	#529	—	5	1	no	—
738	#529	—	10	1	no	—
739	#529	—	10	1	no	—
740	#529	C₂×D₅	1	1	yes	characteristic
741	C₂×#125	—	5	1	no	—
742	C₂×#125	—	5	1	no	—
743	#520	—	10	1	no	—
744	C₄×#41	—	5	1	no	—
745	C₄×#41	—	5	1	no	—
746	C₄×#41	—	10	1	no	—
747	C₂×C₄×Q₈	—	5	1	no	—
748	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
749	#500	—	5	1	no	—
750	#499	—	5	1	no	—
751	#499	—	5	1	no	—
752	#499	—	5	1	no	—
753	#499	—	5	1	no	—
754	#498	—	5	1	no	—
755	#488	—	5	1	no	—
756	#488	—	5	1	no	—
757	#488	—	5	1	no	—
758	#488	—	5	1	no	—
759	#487	—	5	1	no	—
760	#487	—	5	1	no	—
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#483	—	5	1	no	—
769	#483	—	5	1	no	—
770	#483	—	5	1	no	—
771	#483	C₂×D₅	1	1	yes	characteristic
772	#482	—	5	1	no	—
773	#481	—	5	1	no	—
774	#481	—	5	1	no	—
775	#480	—	5	1	no	—
776	#480	—	5	1	no	—
777	#480	—	5	1	no	—
778	#480	C₂×D₅	1	1	yes	characteristic
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	C₂×D₅	1	1	yes	characteristic
797	#479	C₂×D₅	1	1	yes	characteristic
798	#478	—	5	1	no	—
799	#478	—	5	1	no	—
800	#478	—	5	1	no	—
801	#478	—	5	1	no	—
802	#478	—	5	1	no	—
803	#477	—	5	1	no	—
804	#476	—	5	1	no	—
805	#475	—	5	1	no	—
806	#475	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#467	—	5	1	no	—
810	#467	—	5	1	no	—
811	#467	—	5	1	no	—
812	#467	—	5	1	no	—
813	#466	—	5	1	no	—
814	#466	—	5	1	no	—
815	#465	—	5	1	no	—
816	#465	—	5	1	no	—
817	#465	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	—	5	1	no	—
824	#464	C₂×D₅	1	1	yes	characteristic
825	#464	C₂×D₅	1	1	yes	characteristic
826	#463	—	5	1	no	—
827	#463	—	5	1	no	—
828	#463	—	5	1	no	—
829	#462	—	5	1	no	—
830	#461	—	5	1	no	—
831	#452	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	C₂×D₅	1	1	yes	characteristic
834	#449	—	5	1	no	—
835	#448	—	5	1	no	—
836	#448	C₂×D₅	1	1	yes	characteristic
837	C₈×Q₈	—	5	1	no	—
838	C₈×Q₈	—	5	1	no	—
839	C₄×Q₁₆	—	5	1	no	—
840	C₄×Q₁₆	—	5	1	no	—
841	C₄×Q₁₆	—	5	1	no	—
842	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
843	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
844	C₄×SD₁₆	—	5	1	no	—
845	C₄×SD₁₆	—	5	1	no	—
846	C₄×SD₁₆	—	5	1	no	—
847	C₄×SD₁₆	—	5	1	no	—
848	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
849	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
850	C₄×D₈	—	5	1	no	—
851	C₈×D₄	—	5	1	no	—
852	C₈×D₄	—	5	1	no	—
853	C₈×D₄	—	5	1	no	—
854	C₈×D₄	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	—	5	1	no	—
857	#431	—	5	1	no	—
858	#431	—	5	1	no	—
859	#431	C₂×D₅	1	1	yes	characteristic
860	#427	—	5	1	no	—
861	#427	—	5	1	no	—
862	C₂×#107	—	5	1	no	—
863	C₂×#107	—	5	1	no	—
864	C₂×#106	—	5	1	no	—
865	C₂×#106	—	5	1	no	—
866	C₂×C₄⋊C₈	—	5	1	no	—
867	C₂×C₄⋊C₈	—	5	1	no	—
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#416	—	5	1	no	—
870	#416	—	5	1	no	—
871	C₂×#103	—	5	1	no	—
872	C₂×#103	—	5	1	no	—
873	C₂×#103	—	5	1	no	—
874	C₂×#103	—	5	1	no	—
875	C₂³×C₅	—	2	1	no	—
876	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
877	C₂²×D₅	—	2	1	no	—
878	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
879	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
880	C₅×Q₈	—	2	1	no	—
881	C₅×Q₈	—	2	1	no	—
882	C₅×Q₈	—	2	1	no	—
883	C₅×Q₈	—	2	1	no	—
884	C₅×Q₈	—	2	1	no	—
885	C₅×Q₈	—	4	2	no	—
886	C₅×Q₈	2₋¹⁺⁴	1	2	yes	—
887	C₅×D₄	—	2	1	no	—
888	C₅×D₄	—	2	1	no	—
889	C₅×D₄	—	4	2	no	—
890	C₂×C₄×C₅	—	2	2	no	—
891	C₂×C₄×C₅	—	2	1	no	—
892	C₂×C₄×C₅	—	2	1	no	—
893	C₂×C₄×C₅	—	2	1	no	—
894	C₂×C₄×C₅	—	2	1	no	—
895	C₂×C₄×C₅	—	2	1	no	—
896	C₂×C₄×C₅	—	2	1	no	—
897	C₂×C₄×C₅	—	2	1	no	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	4	1	no	—
901	C₂×C₄×C₅	—	4	2	no	—
902	C₂×C₄×C₅	—	4	2	no	—
903	C₂×C₄×C₅	—	8	1	no	—
904	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
905	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
906	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
910	C₂²⋊D₅	—	2	2	no	—
911	C₂²⋊D₅	—	4	2	no	—
912	C₂²⋊D₅	—	4	2	no	—
913	C₂²⋊D₅	—	8	1	no	—
914	C₂²⋊D₅	#135	1	4	yes	—
915	C₂×Dic₅	—	2	1	no	—
916	C₂×Dic₅	—	2	1	no	—
917	C₂×Dic₅	—	2	1	no	—
918	C₂×Dic₅	—	2	1	no	—
919	C₂×Dic₅	—	2	1	no	—
920	C₂×Dic₅	—	2	1	no	—
921	C₂×Dic₅	—	2	1	no	—
922	C₂×Dic₅	—	4	2	no	—
923	C₂×Dic₅	—	4	2	no	—
924	C₂×Dic₅	—	8	1	no	—
925	C₂×Dic₅	—	8	1	no	—
926	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
930	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	D₂₀	—	2	2	no	—
933	D₂₀	—	2	1	no	—
934	D₂₀	—	2	1	no	—
935	D₂₀	—	4	2	no	—
936	D₂₀	—	4	2	no	—
937	C₄×D₅	—	2	2	no	—
938	C₄×D₅	—	2	1	no	—
939	C₄×D₅	—	2	1	no	—
940	C₄×D₅	—	2	1	no	—
941	C₄×D₅	—	2	1	no	—
942	C₄×D₅	—	2	2	no	—
943	C₄×D₅	—	4	1	no	—
944	C₄×D₅	—	4	1	no	—
945	C₄×D₅	—	4	2	no	—
946	C₄×D₅	—	4	2	no	—
947	C₄×D₅	—	4	2	no	—
948	C₄×D₅	—	4	2	no	—
949	C₄×D₅	—	4	2	no	—
950	C₄×D₅	—	4	2	no	—
951	C₄×D₅	—	8	1	no	—
952	Dic₁₀	—	2	2	no	—
953	Dic₁₀	—	2	1	no	—
954	Dic₁₀	—	2	1	no	—
955	Dic₁₀	—	4	2	no	—
956	Dic₁₀	—	4	2	no	—
957	Dic₁₀	—	4	2	no	—
958	Dic₁₀	—	8	1	no	—
959	C₅×C₈	—	2	1	no	—
960	C₅×C₈	—	2	1	no	—
961	C₅×C₈	—	2	1	no	—
962	C₅×C₈	—	2	1	no	—
963	#168	—	2	1	no	—
964	#168	—	2	1	no	—
965	#168	—	2	1	no	—
966	#168	—	2	1	no	—
967	C₂×#41	—	5	1	no	—
968	C₂×#41	—	5	1	no	—
969	C₂×#41	—	10	1	no	—
970	C₂×#41	—	10	1	no	—
971	C₂²×Q₈	—	5	1	no	—
972	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
973	C₂×Q₁₆	—	5	1	no	—
974	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
975	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
976	C₂×SD₁₆	—	5	1	no	—
977	C₂×SD₁₆	—	5	1	no	—
978	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
979	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
980	C₂×D₈	—	5	1	no	—
981	C₂²×C₈	—	5	1	no	—
982	C₂²×C₈	—	5	1	no	—
983	C₂²×C₈	—	5	1	no	—
984	C₂²×C₈	—	5	1	no	—
985	C₂²×C₈	—	5	1	no	—
986	C₂²×C₈	—	5	1	no	—
987	C₄⋊Q₈	—	5	1	no	—
988	C₄⋊Q₈	—	5	1	no	—
989	C₄⋊Q₈	—	5	1	no	—
990	C₄⋊Q₈	—	5	1	no	—
991	C₄⋊Q₈	—	10	1	no	—
992	C₄⋊Q₈	—	10	1	no	—
993	C₄⋊Q₈	—	10	1	no	—
994	#126	—	2	1	no	—
995	#126	—	10	1	no	—
996	#126	—	10	1	no	—
997	#126	—	10	1	no	—
998	#126	—	10	1	no	—
999	#126	—	10	1	no	—
1000	#126	—	10	1	no	—
1001	#126	—	10	1	no	—
1002	#126	—	10	1	no	—
1003	#126	—	10	1	no	—
1004	#126	—	10	1	no	—
1005	#126	—	10	1	no	—
1006	#126	—	10	1	no	—
1007	#125	—	5	1	no	—
1008	#125	—	5	1	no	—
1009	#125	—	5	1	no	—
1010	#125	—	5	1	no	—
1011	#125	—	5	1	no	—
1012	#125	—	5	1	no	—
1013	#125	—	5	1	no	—
1014	#125	—	5	1	no	—
1015	#125	—	10	1	no	—
1016	#125	—	10	1	no	—
1017	#125	—	10	1	no	—
1018	#125	—	10	1	no	—
1019	#125	—	10	1	no	—
1020	#125	—	10	1	no	—
1021	#125	—	10	1	no	—
1022	#125	—	10	1	no	—
1023	#125	—	10	1	no	—
1024	#125	—	10	1	no	—
1025	#125	—	10	1	no	—
1026	#125	—	10	1	no	—
1027	#125	—	10	1	no	—
1028	#125	—	10	1	no	—
1029	#125	C₂²×D₅	1	1	yes	characteristic
1030	#124	—	5	1	no	—
1031	#124	—	5	1	no	—
1032	#124	—	10	1	no	—
1033	#124	—	10	1	no	—
1034	#124	C₂²×D₅	1	1	yes	characteristic
1035	#123	—	2	1	no	—
1036	#123	—	10	1	no	—
1037	#123	—	10	1	no	—
1038	#123	—	10	1	no	—
1039	#123	—	10	1	no	—
1040	#123	—	10	1	no	—
1041	#123	—	10	1	no	—
1042	#123	—	10	1	no	—
1043	#123	—	10	1	no	—
1044	#123	—	10	1	no	—
1045	#123	—	10	1	no	—
1046	#123	—	10	1	no	—
1047	#123	—	10	1	no	—
1048	#123	—	10	1	no	—
1049	#123	—	10	1	no	—
1050	C₂²⋊Q₈	—	5	1	no	—
1051	C₂²⋊Q₈	—	5	1	no	—
1052	C₂²⋊Q₈	—	5	1	no	—
1053	C₂²⋊Q₈	—	5	1	no	—
1054	C₂²⋊Q₈	—	5	1	no	—
1055	C₂²⋊Q₈	—	5	1	no	—
1056	C₂²⋊Q₈	—	10	1	no	—
1057	C₂²⋊Q₈	—	10	1	no	—
1058	C₂²⋊Q₈	—	10	1	no	—
1059	C₂²⋊Q₈	—	10	1	no	—
1060	C₂²⋊Q₈	—	10	1	no	—
1061	C₂²⋊Q₈	—	10	1	no	—
1062	C₂²⋊Q₈	—	10	1	no	—
1063	C₂²⋊Q₈	—	10	1	no	—
1064	C₂²⋊Q₈	—	10	1	no	—
1065	C₂²⋊Q₈	—	10	1	no	—
1066	C₂²⋊Q₈	—	10	1	no	—
1067	C₂²⋊Q₈	—	10	1	no	—
1068	C₂²⋊Q₈	—	10	1	no	—
1069	C₂²⋊Q₈	—	10	1	no	—
1070	C₂²⋊Q₈	—	10	1	no	—
1071	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1072	#121	—	5	1	no	—
1073	#121	—	5	1	no	—
1074	#121	—	5	1	no	—
1075	#121	—	5	1	no	—
1076	#121	—	10	1	no	—
1077	#121	—	10	1	no	—
1078	#121	—	10	1	no	—
1079	#121	—	10	1	no	—
1080	#121	C₂²×D₅	1	1	yes	characteristic
1081	C₄×Q₈	—	2	1	no	—
1082	C₄×Q₈	—	2	1	no	—
1083	C₄×Q₈	—	5	1	no	—
1084	C₄×Q₈	—	5	1	no	—
1085	C₄×Q₈	—	5	1	no	—
1086	C₄×Q₈	—	5	1	no	—
1087	C₄×Q₈	—	5	1	no	—
1088	C₄×Q₈	—	5	1	no	—
1089	C₄×Q₈	—	5	1	no	—
1090	C₄×Q₈	—	5	1	no	—
1091	C₄×Q₈	—	10	1	no	—
1092	C₄×Q₈	—	10	1	no	—
1093	C₄×Q₈	—	10	1	no	—
1094	C₄×Q₈	—	10	1	no	—
1095	C₄×Q₈	—	10	1	no	—
1096	C₄×Q₈	—	10	1	no	—
1097	C₄×Q₈	—	10	1	no	—
1098	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1099	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1102	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1103	C₄×D₄	—	2	1	no	—
1104	C₄×D₄	—	5	1	no	—
1105	C₄×D₄	—	5	1	no	—
1106	C₄×D₄	—	5	1	no	—
1107	C₄×D₄	—	5	1	no	—
1108	C₄×D₄	—	5	1	no	—
1109	C₄×D₄	—	5	1	no	—
1110	C₄×D₄	—	5	1	no	—
1111	C₄×D₄	—	5	1	no	—
1112	C₄×D₄	—	5	1	no	—
1113	C₄×D₄	—	5	1	no	—
1114	C₄×D₄	—	10	1	no	—
1115	C₄×D₄	—	10	1	no	—
1116	C₄×D₄	—	10	1	no	—
1117	C₄×D₄	—	10	1	no	—
1118	C₄×D₄	—	10	1	no	—
1119	C₄×D₄	—	10	1	no	—
1120	C₄×D₄	—	10	1	no	—
1121	C₄×D₄	—	10	1	no	—
1122	C₄×D₄	—	10	1	no	—
1123	C₄×D₄	—	10	1	no	—
1124	C₄×D₄	—	10	1	no	—
1125	C₄×D₄	—	10	1	no	—
1126	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1127	#117	—	2	1	no	—
1128	#117	—	5	1	no	—
1129	#117	—	5	1	no	—
1130	#117	—	5	1	no	—
1131	#117	—	5	1	no	—
1132	#117	—	5	1	no	—
1133	#117	—	5	1	no	—
1134	#117	—	10	1	no	—
1135	#117	—	10	1	no	—
1136	#117	—	10	1	no	—
1137	#117	—	10	1	no	—
1138	#117	—	10	1	no	—
1139	#117	—	10	1	no	—
1140	#117	—	10	1	no	—
1141	#117	—	10	1	no	—
1142	#117	—	10	1	no	—
1143	#117	—	10	1	no	—
1144	#117	—	10	1	no	—
1145	C₂×C₄⋊C₄	—	2	1	no	—
1146	C₂×C₄⋊C₄	—	5	1	no	—
1147	C₂×C₄⋊C₄	—	5	1	no	—
1148	C₂×C₄⋊C₄	—	5	1	no	—
1149	C₂×C₄⋊C₄	—	5	1	no	—
1150	C₂×C₄⋊C₄	—	5	1	no	—
1151	C₂×C₄⋊C₄	—	10	1	no	—
1152	C₂×C₄⋊C₄	—	10	1	no	—
1153	C₂×C₄⋊C₄	—	10	1	no	—
1154	C₂×C₄⋊C₄	—	10	1	no	—
1155	C₂×C₄⋊C₄	—	10	1	no	—
1156	C₂×C₄⋊C₄	—	10	1	no	—
1157	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1158	C₂×C₄²	—	2	1	no	—
1159	C₂×C₄²	—	5	1	no	—
1160	C₂×C₄²	—	5	1	no	—
1161	C₂×C₄²	—	10	1	no	—
1162	C₂×C₄²	—	10	1	no	—
1163	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1164	#107	—	5	1	no	—
1165	#107	—	5	1	no	—
1166	#107	—	5	1	no	—
1167	#107	—	5	1	no	—
1168	#107	—	5	1	no	—
1169	#107	—	5	1	no	—
1170	#107	—	5	1	no	—
1171	#107	—	5	1	no	—
1172	#107	—	5	1	no	—
1173	#107	—	5	1	no	—
1174	#107	C₂²×D₅	1	1	yes	characteristic
1175	#107	C₂²×D₅	1	1	yes	characteristic
1176	#106	—	5	1	no	—
1177	#106	—	5	1	no	—
1178	#106	—	5	1	no	—
1179	#106	—	5	1	no	—
1180	#106	—	5	1	no	—
1181	#106	—	5	1	no	—
1182	#106	—	5	1	no	—
1183	#106	—	5	1	no	—
1184	#106	—	5	1	no	—
1185	#106	—	5	1	no	—
1186	#106	C₂²×D₅	1	1	yes	characteristic
1187	#106	C₂²×D₅	1	1	yes	characteristic
1188	C₄⋊C₈	—	5	1	no	—
1189	C₄⋊C₈	—	5	1	no	—
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	—	5	1	no	—
1192	C₄⋊C₈	—	5	1	no	—
1193	C₄⋊C₈	—	5	1	no	—
1194	C₄⋊C₈	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1197	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1198	#103	—	5	1	no	—
1199	#103	—	5	1	no	—
1200	#103	—	5	1	no	—
1201	#103	—	5	1	no	—
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	—	5	1	no	—
1205	#103	—	5	1	no	—
1206	#103	—	5	1	no	—
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	C₂²×D₅	1	1	yes	characteristic
1215	#103	C₂²×D₅	1	1	yes	characteristic
1216	#103	C₂²×D₅	1	1	yes	characteristic
1217	#103	C₂²×D₅	1	1	yes	characteristic
1218	#103	C₂²×D₅	1	1	yes	characteristic
1219	#103	C₂²×D₅	1	1	yes	characteristic
1220	#102	—	5	1	no	—
1221	#102	—	5	1	no	—
1222	#102	—	5	1	no	—
1223	#102	—	5	1	no	—
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	C₂²×D₅	1	1	yes	characteristic
1229	#102	C₂²×D₅	1	1	yes	characteristic
1230	C₂²⋊C₈	—	5	1	no	—
1231	C₂²⋊C₈	—	5	1	no	—
1232	C₂²⋊C₈	—	5	1	no	—
1233	C₂²⋊C₈	—	5	1	no	—
1234	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1235	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1236	C₄×C₈	—	5	1	no	—
1237	C₄×C₈	—	5	1	no	—
1238	C₄×C₈	—	5	1	no	—
1239	C₄×C₈	—	5	1	no	—
1240	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1241	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1242	C₂²×C₅	—	2	1	no	—
1243	C₂²×C₅	—	2	1	no	—
1244	C₂²×C₅	—	4	1	no	—
1245	C₂²×C₅	—	4	1	no	—
1246	C₂²×C₅	—	4	1	no	—
1247	C₂²×C₅	C₂×#135	1	2	yes	—
1248	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1249	C₂×D₅	—	2	1	no	—
1250	C₂×D₅	—	2	1	no	—
1251	C₂×D₅	—	2	1	no	—
1252	C₂×D₅	—	2	1	no	—
1253	C₂×D₅	—	2	1	no	—
1254	C₂×D₅	—	4	1	no	—
1255	C₂×D₅	—	4	1	no	—
1256	C₂×D₅	—	4	1	no	—
1257	C₂×D₅	C₂×#135	1	2	yes	—
1258	C₄×C₅	—	2	1	no	—
1259	C₄×C₅	—	2	1	no	—
1260	C₄×C₅	—	2	2	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	1	no	—
1263	C₄×C₅	—	2	1	no	—
1264	C₄×C₅	—	4	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	—	4	1	no	—
1269	C₄×C₅	—	4	1	no	—
1270	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1271	C₄×C₅	#585	1	1	yes	characteristic
1272	Dic₅	—	2	1	no	—
1273	Dic₅	—	2	1	no	—
1274	Dic₅	—	2	1	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	4	1	no	—
1278	Dic₅	—	4	1	no	—
1279	Dic₅	—	4	1	no	—
1280	Dic₅	—	4	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	—	4	1	no	—
1284	Dic₅	C₂×#135	1	2	yes	—
1285	#41	—	10	4	no	—
1286	#41	—	10	2	no	—
1287	#41	—	20	4	no	—
1288	#41	—	20	1	no	—
1289	#41	—	20	4	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	2	2	no	—
1292	C₂×Q₈	—	4	1	no	—
1293	C₂×Q₈	—	5	1	no	—
1294	C₂×Q₈	—	5	1	no	—
1295	C₂×Q₈	—	10	1	no	—
1296	C₂×Q₈	—	10	1	no	—
1297	C₂×Q₈	—	10	1	no	—
1298	C₂×Q₈	—	10	1	no	—
1299	C₂×Q₈	—	10	2	no	—
1300	C₂×Q₈	—	20	1	no	—
1301	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1302	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1303	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1304	C₂×D₄	—	2	1	no	—
1305	C₂×D₄	—	5	1	no	—
1306	C₂×D₄	—	5	1	no	—
1307	C₂×D₄	—	5	1	no	—
1308	C₂×D₄	—	5	1	no	—
1309	C₂×D₄	—	10	1	no	—
1310	C₂×D₄	—	10	1	no	—
1311	C₂×D₄	—	10	1	no	—
1312	C₂×D₄	—	10	1	no	—
1313	C₂×D₄	—	10	1	no	—
1314	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	5	1	no	—
1319	C₂²×C₄	—	5	1	no	—
1320	C₂²×C₄	—	5	1	no	—
1321	C₂²×C₄	—	5	1	no	—
1322	C₂²×C₄	—	5	1	no	—
1323	C₂²×C₄	—	5	1	no	—
1324	C₂²×C₄	—	10	1	no	—
1325	C₂²×C₄	—	10	1	no	—
1326	C₂²×C₄	—	10	1	no	—
1327	C₂²×C₄	—	10	1	no	—
1328	C₂²×C₄	—	10	1	no	—
1329	C₂²×C₄	—	10	1	no	—
1330	C₂²×C₄	—	10	1	no	—
1331	C₂²×C₄	—	10	1	no	—
1332	C₂²×C₄	—	10	1	no	—
1333	C₂²×C₄	—	10	1	no	—
1334	C₂²×C₄	—	10	1	no	—
1335	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1336	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1337	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1338	Q₁₆	—	2	2	no	—
1339	Q₁₆	—	4	1	no	—
1340	Q₁₆	—	20	1	no	—
1341	SD₁₆	—	2	2	no	—
1342	SD₁₆	—	4	1	no	—
1343	SD₁₆	—	20	1	no	—
1344	SD₁₆	—	20	1	no	—
1345	D₈	—	20	1	no	—
1346	C₂×C₈	—	5	1	no	—
1347	C₂×C₈	—	5	1	no	—
1348	C₂×C₈	—	5	1	no	—
1349	C₂×C₈	—	5	1	no	—
1350	C₂×C₈	—	20	1	no	—
1351	C₂×C₈	—	20	1	no	—
1352	C₂×C₈	—	20	1	no	—
1353	C₂×C₈	—	20	1	no	—
1354	C₂×C₈	—	20	1	no	—
1355	C₂×C₈	—	20	1	no	—
1356	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1359	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	5	1	no	—
1370	C₄⋊C₄	—	5	1	no	—
1371	C₄⋊C₄	—	5	1	no	—
1372	C₄⋊C₄	—	5	1	no	—
1373	C₄⋊C₄	—	5	1	no	—
1374	C₄⋊C₄	—	5	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	10	1	no	—
1382	C₄⋊C₄	—	10	1	no	—
1383	C₄⋊C₄	—	10	1	no	—
1384	C₄⋊C₄	—	10	1	no	—
1385	C₄⋊C₄	—	10	1	no	—
1386	C₄⋊C₄	—	10	1	no	—
1387	C₄⋊C₄	—	10	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1420	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1421	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1422	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	5	1	no	—
1429	C₂²⋊C₄	—	5	1	no	—
1430	C₂²⋊C₄	—	5	1	no	—
1431	C₂²⋊C₄	—	5	1	no	—
1432	C₂²⋊C₄	—	5	1	no	—
1433	C₂²⋊C₄	—	5	1	no	—
1434	C₂²⋊C₄	—	10	1	no	—
1435	C₂²⋊C₄	—	10	1	no	—
1436	C₂²⋊C₄	—	10	1	no	—
1437	C₂²⋊C₄	—	10	1	no	—
1438	C₂²⋊C₄	—	10	1	no	—
1439	C₂²⋊C₄	—	10	1	no	—
1440	C₂²⋊C₄	—	10	1	no	—
1441	C₂²⋊C₄	—	10	1	no	—
1442	C₂²⋊C₄	—	10	1	no	—
1443	C₂²⋊C₄	—	10	1	no	—
1444	C₂²⋊C₄	—	10	1	no	—
1445	C₂²⋊C₄	—	10	1	no	—
1446	C₂²⋊C₄	—	10	1	no	—
1447	C₂²⋊C₄	—	10	1	no	—
1448	C₂²⋊C₄	—	10	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	—	2	1	no	—
1459	C₄²	—	2	1	no	—
1460	C₄²	—	5	1	no	—
1461	C₄²	—	5	1	no	—
1462	C₄²	—	5	1	no	—
1463	C₄²	—	5	1	no	—
1464	C₄²	—	5	1	no	—
1465	C₄²	—	5	1	no	—
1466	C₄²	—	10	1	no	—
1467	C₄²	—	10	1	no	—
1468	C₄²	—	10	1	no	—
1469	C₄²	—	10	1	no	—
1470	C₄²	—	10	1	no	—
1471	C₄²	—	10	1	no	—
1472	C₄²	—	10	1	no	—
1473	C₄²	—	10	1	no	—
1474	C₄²	—	10	1	no	—
1475	C₄²	D₄×D₅	1	1	yes	characteristic
1476	C₄²	D₄×D₅	1	1	yes	characteristic
1477	C₄²	C₂³×D₅	1	1	yes	characteristic
1478	C₄²	C₂³×D₅	1	1	yes	characteristic
1479	C₂×C₅	—	2	2	no	—
1480	C₂×C₅	—	8	1	no	—
1481	C₂×C₅	#3489	1	1	yes	characteristic
1482	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1483	C₂×C₅	#3586	1	1	yes	characteristic
1484	D₅	—	2	2	no	—
1485	D₅	—	4	1	no	—
1486	D₅	—	8	1	no	—
1487	C₂³	—	2	1	no	—
1488	C₂³	—	5	1	no	—
1489	C₂³	—	5	1	no	—
1490	C₂³	—	10	1	no	—
1491	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1492	Q₈	—	2	1	no	—
1493	Q₈	—	2	1	no	—
1494	Q₈	—	2	1	no	—
1495	Q₈	—	2	1	no	—
1496	Q₈	—	2	1	no	—
1497	Q₈	—	4	2	no	—
1498	Q₈	—	10	2	no	—
1499	Q₈	—	10	1	no	—
1500	Q₈	—	10	1	no	—
1501	Q₈	—	20	2	no	—
1502	Q₈	—	20	2	no	—
1503	Q₈	—	20	2	no	—
1504	Q₈	—	40	1	no	—
1505	Q₈	#4150	1	2	yes	—
1506	D₄	—	2	1	no	—
1507	D₄	—	2	1	no	—
1508	D₄	—	4	2	no	—
1509	D₄	—	5	4	no	—
1510	D₄	—	10	2	no	—
1511	D₄	—	10	2	no	—
1512	D₄	—	10	1	no	—
1513	D₄	—	10	1	no	—
1514	D₄	—	20	2	no	—
1515	D₄	—	20	2	no	—
1516	D₄	—	20	2	no	—
1517	D₄	—	20	2	no	—
1518	D₄	—	40	1	no	—
1519	C₂×C₄	—	2	2	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	1	no	—
1523	C₂×C₄	—	2	1	no	—
1524	C₂×C₄	—	2	1	no	—
1525	C₂×C₄	—	2	1	no	—
1526	C₂×C₄	—	2	1	no	—
1527	C₂×C₄	—	2	1	no	—
1528	C₂×C₄	—	2	1	no	—
1529	C₂×C₄	—	4	1	no	—
1530	C₂×C₄	—	4	2	no	—
1531	C₂×C₄	—	4	2	no	—
1532	C₂×C₄	—	5	1	no	—
1533	C₂×C₄	—	5	1	no	—
1534	C₂×C₄	—	5	1	no	—
1535	C₂×C₄	—	5	1	no	—
1536	C₂×C₄	—	5	1	no	—
1537	C₂×C₄	—	5	1	no	—
1538	C₂×C₄	—	8	1	no	—
1539	C₂×C₄	—	10	2	no	—
1540	C₂×C₄	—	10	2	no	—
1541	C₂×C₄	—	10	1	no	—
1542	C₂×C₄	—	10	1	no	—
1543	C₂×C₄	—	10	1	no	—
1544	C₂×C₄	—	10	1	no	—
1545	C₂×C₄	—	10	1	no	—
1546	C₂×C₄	—	10	1	no	—
1547	C₂×C₄	—	10	1	no	—
1548	C₂×C₄	—	10	1	no	—
1549	C₂×C₄	—	10	1	no	—
1550	C₂×C₄	—	10	1	no	—
1551	C₂×C₄	—	10	1	no	—
1552	C₂×C₄	—	20	1	no	—
1553	C₂×C₄	—	20	1	no	—
1554	C₂×C₄	—	20	2	no	—
1555	C₂×C₄	—	20	2	no	—
1556	C₂×C₄	—	20	2	no	—
1557	C₂×C₄	—	20	2	no	—
1558	C₂×C₄	—	20	2	no	—
1559	C₂×C₄	—	20	2	no	—
1560	C₂×C₄	—	20	2	no	—
1561	C₂×C₄	—	20	2	no	—
1562	C₂×C₄	—	40	1	no	—
1563	C₂×C₄	—	40	1	no	—
1564	C₂×C₄	—	40	1	no	—
1565	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1566	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1567	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1568	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1569	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1570	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1571	C₈	—	2	1	no	—
1572	C₈	—	2	1	no	—
1573	C₈	—	2	1	no	—
1574	C₈	—	2	1	no	—
1575	C₈	—	10	1	no	—
1576	C₈	—	10	1	no	—
1577	C₈	—	10	1	no	—
1578	C₈	—	10	1	no	—
1579	C₅	#62104	1	1	yes	characteristic, complemented, Sylow
1580	C₂²	—	2	1	no	—
1581	C₂²	—	2	1	no	—
1582	C₂²	—	4	1	no	—
1583	C₂²	—	4	1	no	—
1584	C₂²	—	4	1	no	—
1585	C₂²	—	5	2	no	—
1586	C₂²	—	10	1	no	—
1587	C₂²	—	10	1	no	—
1588	C₂²	—	10	1	no	—
1589	C₂²	—	10	1	no	—
1590	C₂²	—	10	1	no	—
1591	C₂²	—	20	1	no	—
1592	C₂²	—	20	1	no	—
1593	C₂²	—	20	1	no	—
1594	C₂²	D₅×#135	1	2	yes	—
1595	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1596	C₄	—	2	1	no	—
1597	C₄	—	2	2	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	2	1	no	—
1600	C₄	—	2	1	no	—
1601	C₄	—	2	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	5	2	no	—
1609	C₄	—	10	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	10	1	no	—
1614	C₄	—	20	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	—	20	1	no	—
1620	C₄	—	20	1	no	—
1621	C₄	C₂×#4150	1	1	yes	characteristic
1622	C₄	#66283	1	1	yes	characteristic
1623	C₂	—	2	2	no	—
1624	C₂	—	8	1	no	—
1625	C₂	—	10	2	no	—
1626	C₂	—	20	1	no	—
1627	C₂	—	40	1	no	—
1628	C₂	#10617943	1	1	yes	characteristic
1629	C₂	C₂×D₅×#135	1	1	yes	characteristic
1630	C₂	#10619098	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3108	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3108	D₅
hypocenter	C₅	#62104
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3108

Complements

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

N	H ≅ G/N	type
1. #10618065	C₂	semidirect
2. #10617718	C₂	semidirect
3. C₅×#3108	C₂	semidirect
4. #10614880	C₂	semidirect
5. C₂×#65311	C₂	semidirect
6. #10613167	C₂	semidirect
7. #10613166	C₂	semidirect
8. #10613023	C₂	semidirect
9. #10613022	C₂	semidirect
10. #10612968	C₂	semidirect
11. #10612967	C₂	semidirect
12. #10612960	C₂	semidirect
13. D₅×#479	C₂	semidirect
14. #10612354	C₂	semidirect
15. #10612307	C₂	semidirect
16. #10612300	C₂	semidirect
17. #10612299	C₂	semidirect
18. #10611925	C₂	semidirect
19. #10611924	C₂	semidirect
20. #10611781	C₂	semidirect
21. #10611780	C₂	semidirect
22. #10611472	C₂	semidirect
23. #10611467	C₂	semidirect
24. #10611438	C₂	semidirect
25. #10611431	C₂	semidirect
26. #10611420	C₂	semidirect
27. #10611410	C₂	semidirect
28. #10611364	C₂	semidirect
29. #10611351	C₂	semidirect
30. #10611022	C₂	semidirect
31. #10611005	C₂	semidirect
504. #3108	D₅	semidirect
1579. C₅	#62104	semidirect

Maximal subgroups

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

subgroup	index
#10618065	2
#10617718	2
C₅×#3108	2
#10614880	2
C₂×#65311	2
#10613167	2
#10613166	2
#10613023	2
#10613022	2
#10612968	2
#10612967	2
#10612960	2
D₅×#479	2
#10612354	2
#10612307	2
#10612300	2
#10612299	2
#10611925	2
#10611924	2
#10611781	2
#10611780	2
#10611472	2
#10611467	2
#10611438	2
#10611431	2
#10611420	2
#10611410	2
#10611364	2
#10611351	2
#10611022	2
#10611005	2
#62104	5