Subgroups — #12996113

Order 1280.

1712 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618495	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618455	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3244	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615205	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615197	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613725	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613697	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613636	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613631	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613429	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613403	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613393	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613384	C₂	1	1	yes	maximal, characteristic, complemented
14	#10613269	C₂	1	1	yes	maximal, characteristic, complemented
15	#10613259	C₂	1	1	yes	maximal, characteristic, complemented
16	#10613176	C₂	1	1	yes	maximal, characteristic, complemented
17	#10613170	C₂	1	1	yes	maximal, characteristic, complemented
18	#10613120	C₂	1	1	yes	maximal, characteristic, complemented
19	#10613114	C₂	1	1	yes	maximal, characteristic, complemented
20	#10613074	C₂	1	1	yes	maximal, characteristic, complemented
21	#10613067	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612973	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612937	C₂	1	1	yes	maximal, characteristic, complemented
24	#10612899	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612879	C₂	1	1	yes	maximal, characteristic, complemented
26	#10612797	C₂	1	1	yes	maximal, characteristic, complemented
27	#10612779	C₂	1	1	yes	maximal, characteristic, complemented
28	#10612767	C₂	1	1	yes	maximal, characteristic, complemented
29	#10612741	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611114	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611110	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#544	C₂²	1	1	yes	characteristic, complemented
33	C₅×#542	C₂²	1	1	yes	characteristic
34	#66068	C₂²	1	1	yes	characteristic
35	#66067	—	2	1	no	—
36	#66067	C₂²	1	1	yes	characteristic, complemented
37	#66066	C₂²	1	1	yes	characteristic, complemented
38	#66065	—	2	1	no	—
39	#66064	C₂²	1	1	yes	characteristic, complemented
40	#66062	C₂²	1	1	yes	characteristic, complemented
41	#66061	C₂²	1	1	yes	characteristic
42	#66040	—	2	1	no	—
43	#66038	—	2	1	no	—
44	#66033	—	2	1	no	—
45	#66029	C₂²	1	1	yes	characteristic, complemented
46	#66027	—	2	1	no	—
47	#66025	C₂²	1	1	yes	characteristic, complemented
48	#66023	C₂²	1	1	yes	characteristic, complemented
49	#66019	C₂²	1	1	yes	characteristic, complemented
50	#66015	C₂²	1	1	yes	characteristic
51	#66012	—	2	1	no	—
52	#66010	C₂²	1	1	yes	characteristic
53	D₅×#124	—	2	1	no	—
54	#65993	—	2	1	no	—
55	#65988	—	2	1	no	—
56	#65981	—	2	1	no	—
57	#65977	—	2	1	no	—
58	#65975	—	2	1	no	—
59	#65975	C₂²	1	1	yes	characteristic
60	#65972	—	2	1	no	—
61	#65971	—	2	1	no	—
62	#65967	—	2	1	no	—
63	#65964	C₂²	1	1	yes	characteristic
64	#65950	C₂²	1	1	yes	characteristic
65	#65943	C₂²	1	1	yes	characteristic
66	#65916	C₂²	1	1	yes	characteristic
67	C₄×#713	C₂²	1	1	yes	characteristic
68	#65882	C₂²	1	1	yes	characteristic
69	#65879	C₂²	1	1	yes	characteristic
70	#65868	C₂²	1	1	yes	characteristic, complemented
71	#65866	C₂²	1	1	yes	characteristic, complemented
72	#65863	C₂²	1	1	yes	characteristic
73	#65862	C₂²	1	1	yes	characteristic
74	#65855	C₂²	1	1	yes	characteristic
75	#65848	C₂²	1	1	yes	characteristic
76	#65847	C₂²	1	1	yes	characteristic, complemented
77	C₅×#501	C₂²	1	1	yes	characteristic, complemented
78	C₅×#498	C₂²	1	1	yes	characteristic, complemented
79	C₅×#489	C₂²	1	1	yes	characteristic, complemented
80	C₅×#488	C₂²	1	1	yes	characteristic, complemented
81	C₅×#485	C₂²	1	1	yes	characteristic, complemented
82	C₅×#483	C₂²	1	1	yes	characteristic, complemented
83	C₅×#482	C₂²	1	1	yes	characteristic
84	C₅×#481	C₂²	1	1	yes	characteristic
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#478	C₂²	1	1	yes	characteristic, complemented
87	C₅×#476	C₂²	1	1	yes	characteristic, complemented
88	C₅×#475	C₂²	1	1	yes	characteristic, complemented
89	C₅×#433	C₂²	1	1	yes	characteristic, complemented
90	#65380	C₂²	1	1	yes	characteristic, complemented
91	#65376	C₂²	1	1	yes	characteristic
92	#65376	C₂²	1	1	yes	characteristic, complemented
93	#65376	C₂²	1	1	yes	characteristic, complemented
94	#65373	C₂²	1	1	yes	characteristic
95	#65373	C₂²	1	1	yes	characteristic, complemented
96	#65355	C₂²	1	1	yes	characteristic
97	#65355	C₂²	1	1	yes	characteristic
98	#65355	C₂²	1	1	yes	characteristic, complemented
99	#65355	C₂²	1	1	yes	characteristic, complemented
100	#65346	C₂²	1	1	yes	characteristic, complemented
101	#65343	C₂²	1	1	yes	characteristic, complemented
102	#65340	C₂²	1	1	yes	characteristic, complemented
103	#65338	C₂²	1	1	yes	characteristic, complemented
104	#65331	C₂²	1	1	yes	characteristic
105	#65327	C₂²	1	1	yes	characteristic
106	#65317	C₂²	1	1	yes	characteristic, complemented
107	#65310	C₂²	1	1	yes	characteristic, complemented
108	#65305	C₂²	1	1	yes	characteristic, complemented
109	#65296	C₂²	1	1	yes	characteristic, complemented
110	#65290	C₂²	1	1	yes	characteristic
111	#65288	C₂²	1	1	yes	characteristic, complemented
112	#65287	C₂²	1	1	yes	characteristic, complemented
113	C₂×#3941	C₂²	1	1	yes	characteristic
114	#65253	C₂²	1	1	yes	characteristic, complemented
115	#65179	C₂²	1	1	yes	characteristic
116	#65178	C₂²	1	1	yes	characteristic
117	#65174	C₂²	1	1	yes	characteristic, complemented
118	#65172	C₂²	1	1	yes	characteristic, complemented
119	#65171	C₂²	1	1	yes	characteristic
120	#65170	C₂²	1	1	yes	characteristic, complemented
121	#65164	C₂²	1	1	yes	characteristic, complemented
122	#65163	C₂²	1	1	yes	characteristic, complemented
123	#65160	C₂²	1	1	yes	characteristic
124	#65160	C₂²	1	1	yes	characteristic
125	#65160	C₂²	1	1	yes	characteristic
126	#65159	C₂²	1	1	yes	characteristic, complemented
127	#65159	C₂²	1	1	yes	characteristic, complemented
128	#65158	C₂²	1	1	yes	characteristic
129	#65158	C₂²	1	1	yes	characteristic
130	#65156	C₂²	1	1	yes	characteristic, complemented
131	#65156	C₂²	1	1	yes	characteristic, complemented
132	#65155	C₂²	1	1	yes	characteristic
133	#65155	C₂²	1	1	yes	characteristic, complemented
134	#65155	C₂²	1	1	yes	characteristic, complemented
135	#65155	C₂²	1	1	yes	characteristic, complemented
136	#65154	C₂²	1	1	yes	characteristic
137	#65153	C₂²	1	1	yes	characteristic
138	#65153	C₂²	1	1	yes	characteristic, complemented
139	#65149	C₂²	1	1	yes	characteristic, complemented
140	#65149	C₂²	1	1	yes	characteristic, complemented
141	#65149	C₂²	1	1	yes	characteristic, complemented
142	#65145	C₂²	1	1	yes	characteristic, complemented
143	#65145	C₂²	1	1	yes	characteristic, complemented
144	#65145	C₂²	1	1	yes	characteristic, complemented
145	#65143	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic
147	#65135	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65131	C₂²	1	1	yes	characteristic
151	#65129	C₂²	1	1	yes	characteristic, complemented
152	#65128	C₂²	1	1	yes	characteristic, complemented
153	#65124	C₂²	1	1	yes	characteristic, complemented
154	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65106	C₂²	1	1	yes	characteristic, complemented
157	#65105	C₂²	1	1	yes	characteristic, complemented
158	#65103	C₂²	1	1	yes	characteristic, complemented
159	#65100	C₂²	1	1	yes	characteristic
160	#65099	C₂²	1	1	yes	characteristic
161	#65098	C₂²	1	1	yes	characteristic, complemented
162	#65096	C₂²	1	1	yes	characteristic, complemented
163	#65093	C₂²	1	1	yes	characteristic
164	#65093	C₂²	1	1	yes	characteristic
165	#65089	C₂²	1	1	yes	characteristic, complemented
166	#65088	C₂²	1	1	yes	characteristic, complemented
167	#65088	C₂²	1	1	yes	characteristic, complemented
168	#65087	C₂²	1	1	yes	characteristic, complemented
169	#65084	C₂²	1	1	yes	characteristic, complemented
170	#65078	C₂²	1	1	yes	characteristic, complemented
171	#65075	C₂²	1	1	yes	characteristic
172	#65073	C₂²	1	1	yes	characteristic, complemented
173	#65073	C₂²	1	1	yes	characteristic, complemented
174	#65067	C₂²	1	1	yes	characteristic, complemented
175	#65065	C₂²	1	1	yes	characteristic
176	#65064	C₂²	1	1	yes	characteristic, complemented
177	#65062	C₂²	1	1	yes	characteristic
178	#65059	C₂²	1	1	yes	characteristic
179	D₅×#102	C₂²	1	1	yes	characteristic
180	#65053	C₂²	1	1	yes	characteristic
181	#65053	C₂²	1	1	yes	characteristic
182	#65052	C₂²	1	1	yes	characteristic, complemented
183	#65051	C₂²	1	1	yes	characteristic
184	#65050	C₂²	1	1	yes	characteristic, complemented
185	#65046	C₂²	1	1	yes	characteristic, complemented
186	#65045	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic, complemented
188	#65021	C₂²	1	1	yes	characteristic
189	#65020	C₂²	1	1	yes	characteristic
190	#65019	C₂²	1	1	yes	characteristic
191	#65017	C₂²	1	1	yes	characteristic
192	#65017	C₂²	1	1	yes	characteristic, complemented
193	#65014	C₂²	1	1	yes	characteristic, complemented
194	#65012	C₂²	1	1	yes	characteristic, complemented
195	#65000	C₂²	1	1	yes	characteristic, complemented
196	#64999	C₂²	1	1	yes	characteristic
197	#64995	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	C₄×D₄₀	C₂²	1	1	yes	characteristic
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	C₈×D₂₀	C₂²	1	1	yes	characteristic, complemented
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#62159	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×D₄×D₅	—	2	1	no	—
207	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
208	C₂×#709	—	2	1	no	—
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×C₄⋊Q₈	C₂³	1	1	yes	characteristic
213	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
214	C₅×#126	—	2	1	no	—
215	C₅×#125	—	2	1	no	—
216	C₅×#125	C₂³	1	1	yes	characteristic
217	C₅×#125	C₂³	1	1	yes	characteristic
218	C₅×#124	—	2	1	no	—
219	C₅×#124	C₂³	1	1	yes	characteristic
220	C₅×#123	—	2	1	no	—
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	—	2	1	no	—
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×#121	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
228	C₅×#117	C₂³	1	1	yes	characteristic
229	C₅×#117	C₂³	1	1	yes	characteristic
230	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	#4093	—	2	1	no	—
232	#4093	—	2	1	no	—
233	#4093	—	2	1	no	—
234	#4093	—	2	1	no	—
235	#4093	C₂³	1	1	yes	characteristic
236	#4092	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	C₂³	1	1	yes	characteristic
242	Q₈×Dic₅	—	2	1	no	—
243	Q₈×Dic₅	—	2	1	no	—
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	C₂×#689	C₂³	1	1	yes	characteristic
246	C₂×#688	C₂³	1	1	yes	characteristic
247	#4086	C₂³	1	1	yes	characteristic
248	#4085	—	2	1	no	—
249	#4084	C₂³	1	1	yes	characteristic
250	#4083	—	2	1	no	—
251	#4082	—	2	1	no	—
252	D₄×Dic₅	C₂³	1	1	yes	characteristic
253	C₂×#687	C₂³	1	1	yes	characteristic
254	C₂×#686	C₂³	1	1	yes	characteristic
255	#4076	—	2	1	no	—
256	#4076	C₂³	1	1	yes	characteristic
257	#4075	—	2	1	no	—
258	C₄×C₂²⋊D₅	—	2	1	no	—
259	C₄×C₂²⋊D₅	—	2	1	no	—
260	C₄×C₂²⋊D₅	—	2	1	no	—
261	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
262	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
263	C₂×#685	—	2	1	no	—
264	#4072	—	2	1	no	—
265	#4072	C₂³	1	1	yes	characteristic
266	#4070	C₂³	1	1	yes	characteristic
267	C₂×#681	C₂³	1	1	yes	characteristic
268	C₂²×#168	C₂³	1	1	yes	characteristic
269	C₂×D₄₀	C₂³	1	1	yes	characteristic
270	C₂×D₄₀	C₂³	1	1	yes	characteristic
271	C₂×#677	C₂³	1	1	yes	characteristic
272	C₂×#677	C₂³	1	1	yes	characteristic
273	C₂×#676	C₂³	1	1	yes	characteristic
274	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
275	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
276	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
277	#4044	—	2	1	no	—
278	#4044	—	2	1	no	—
279	#4044	—	2	1	no	—
280	#4044	—	2	1	no	—
281	#4044	—	2	1	no	—
282	#4044	—	2	1	no	—
283	#4044	—	2	1	no	—
284	#4044	—	2	1	no	—
285	#4044	—	2	1	no	—
286	#4044	D₄	1	1	yes	characteristic
287	#4043	—	2	1	no	—
288	#4043	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	C₂³	1	1	yes	characteristic
291	#4043	C₂³	1	1	yes	characteristic
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	D₄	1	1	yes	characteristic
298	#4041	—	2	1	no	—
299	#4041	—	2	1	no	—
300	#4041	—	2	1	no	—
301	#4041	C₂³	1	1	yes	characteristic
302	#4041	C₂³	1	1	yes	characteristic
303	#4041	C₂³	1	1	yes	characteristic
304	#4041	C₂³	1	1	yes	characteristic
305	#4040	—	2	1	no	—
306	#4040	—	2	1	no	—
307	#4040	—	2	1	no	—
308	#4040	—	2	1	no	—
309	#4040	—	2	1	no	—
310	#4040	—	2	1	no	—
311	#4040	D₄	1	1	yes	characteristic
312	#4039	—	2	1	no	—
313	#4039	—	2	1	no	—
314	#4039	—	2	1	no	—
315	#4039	—	2	1	no	—
316	#4039	—	2	1	no	—
317	#4039	C₂³	1	1	yes	characteristic
318	#4039	C₂³	1	1	yes	characteristic
319	#4039	C₂³	1	1	yes	characteristic
320	#4039	C₂³	1	1	yes	characteristic
321	#4038	—	2	1	no	—
322	#4038	—	2	1	no	—
323	#4038	—	2	1	no	—
324	#4038	C₂³	1	1	yes	characteristic
325	#4038	C₂³	1	1	yes	characteristic
326	#4038	C₂³	1	1	yes	characteristic
327	#4038	C₂³	1	1	yes	characteristic
328	#4038	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	—	2	1	no	—
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	#4036	C₂³	1	1	yes	characteristic
332	#4036	C₂³	1	1	yes	characteristic
333	#4036	C₂³	1	1	yes	characteristic
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4035	—	2	1	no	—
337	#4035	—	2	1	no	—
338	#4035	D₄	1	1	yes	characteristic
339	#4034	—	2	1	no	—
340	#4034	—	2	1	no	—
341	#4034	C₂³	1	1	yes	characteristic
342	#4034	C₂³	1	1	yes	characteristic
343	#4034	C₂³	1	1	yes	characteristic
344	#4033	—	2	1	no	—
345	#4033	—	2	1	no	—
346	#4033	—	2	1	no	—
347	#4033	C₂³	1	1	yes	characteristic
348	#4033	C₂³	1	1	yes	characteristic
349	#4032	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	D₄	1	1	yes	characteristic
357	#4030	—	2	1	no	—
358	#4030	—	2	1	no	—
359	#4030	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4030	D₄	1	1	yes	characteristic
362	#4029	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4029	—	2	1	no	—
365	#4029	—	2	1	no	—
366	#4029	D₄	1	1	yes	characteristic
367	#4028	—	2	1	no	—
368	#4028	—	2	1	no	—
369	#4028	—	2	1	no	—
370	#4027	—	2	1	no	—
371	#4027	—	2	1	no	—
372	D₅×C₂²⋊C₄	—	2	1	no	—
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	D₅×C₂²⋊C₄	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	D₄	1	1	yes	characteristic
380	#4023	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4021	—	2	1	no	—
383	#4021	—	2	1	no	—
384	#4021	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	—	2	1	no	—
386	C₄×D₂₀	C₂³	1	1	yes	characteristic
387	C₄×D₂₀	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	C₂³	1	1	yes	characteristic
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	C₂³	1	1	yes	characteristic
395	C₄²×D₅	—	2	1	no	—
396	C₄²×D₅	C₂³	1	1	yes	characteristic
397	#4016	—	2	1	no	—
398	#4015	C₂³	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×#106	C₂³	1	1	yes	characteristic
406	C₅×#106	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
420	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
421	C₅×#97	C₂³	1	1	yes	characteristic
422	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
423	#3967	C₂³	1	1	yes	characteristic
424	#3967	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3953	C₂³	1	1	yes	characteristic
428	#3953	C₂³	1	1	yes	characteristic
429	#3953	C₂³	1	1	yes	characteristic
430	#3953	C₂³	1	1	yes	characteristic
431	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3952	C₂³	1	1	yes	characteristic
434	#3952	C₂³	1	1	yes	characteristic
435	#3952	C₂³	1	1	yes	characteristic
436	#3952	C₂³	1	1	yes	characteristic
437	#3950	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3949	C₂³	1	1	yes	characteristic
440	#3949	C₂³	1	1	yes	characteristic
441	#3948	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3947	C₂³	1	1	yes	characteristic
444	#3947	C₂³	1	1	yes	characteristic
445	#3947	C₂³	1	1	yes	characteristic
446	#3946	C₂³	1	1	yes	characteristic
447	#3946	C₂³	1	1	yes	characteristic
448	#3946	C₂³	1	1	yes	characteristic
449	#3946	C₂³	1	1	yes	characteristic
450	C₈×Dic₅	C₂³	1	1	yes	characteristic
451	#3942	C₂³	1	1	yes	characteristic
452	#3942	C₂³	1	1	yes	characteristic
453	#3941	C₂³	1	1	yes	characteristic
454	#3941	C₂³	1	1	yes	characteristic
455	#3941	C₂³	1	1	yes	characteristic
456	#3941	C₂³	1	1	yes	characteristic
457	#3941	C₂³	1	1	yes	characteristic
458	#3941	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	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	#3939	C₂³	1	1	yes	characteristic
468	#3939	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	#3565	—	5	1	no	—
480	#3514	—	5	1	no	—
481	#3386	—	5	1	no	—
482	#3384	—	5	1	no	—
483	#3371	—	5	1	no	—
484	#3370	—	5	1	no	—
485	#3350	—	5	1	no	—
486	#3349	—	5	1	no	—
487	#3348	—	5	1	no	—
488	#3347	—	5	1	no	—
489	#3341	—	5	1	no	—
490	#3340	—	5	1	no	—
491	#3319	—	5	1	no	—
492	#3318	—	5	1	no	—
493	#3311	—	5	1	no	—
494	#3310	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3296	—	5	1	no	—
497	#3263	—	5	1	no	—
498	#3262	—	5	1	no	—
499	#3247	—	5	1	no	—
500	#3244	D₅	1	1	yes	characteristic, complemented
501	#3243	—	5	1	no	—
502	#3235	—	5	1	no	—
503	#3118	—	5	1	no	—
504	#3118	—	5	1	no	—
505	#3111	—	5	1	no	—
506	#3081	—	5	1	no	—
507	#3081	—	5	1	no	—
508	#3076	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂×C₅×Q₈	—	2	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₅	—	2	1	no	—
522	C₂×C₂²⋊D₅	—	2	1	no	—
523	C₂×C₂²⋊D₅	—	2	1	no	—
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
527	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
528	C₂²×Dic₅	—	2	1	no	—
529	#713	—	2	2	no	—
530	#713	—	4	1	no	—
531	Q₈×D₅	—	8	2	no	—
532	D₄×D₅	—	2	2	no	—
533	D₄×D₅	—	4	1	no	—
534	D₄×D₅	—	8	2	no	—
535	#709	—	8	2	no	—
536	C₂×D₂₀	—	2	2	no	—
537	C₂×D₂₀	—	2	1	no	—
538	C₂×D₂₀	—	2	1	no	—
539	C₂×D₂₀	—	2	1	no	—
540	C₂×D₂₀	—	2	1	no	—
541	C₂×D₂₀	—	2	1	no	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	—	4	1	no	—
544	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
545	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
546	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
547	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	—	2	1	no	—
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
568	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
569	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
570	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
571	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
572	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	C₂⁴	1	1	yes	characteristic
602	C₄²×C₅	C₂⁴	1	1	yes	characteristic
603	C₂²⋊Dic₅	—	2	1	no	—
604	C₂²⋊Dic₅	—	2	1	no	—
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
608	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
609	#689	—	4	1	no	—
610	#688	—	4	1	no	—
611	#687	—	4	1	no	—
612	#686	—	4	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	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	C₂×D₄	1	1	yes	characteristic
640	#685	C₂×D₄	1	1	yes	characteristic
641	#685	C₂×D₄	1	1	yes	characteristic
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	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	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
688	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
689	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
690	#681	—	4	1	no	—
691	C₂×#168	—	4	1	no	—
692	C₂×#168	C₂⁴	1	1	yes	characteristic
693	C₂×#168	C₂⁴	1	1	yes	characteristic
694	C₂×#168	C₂⁴	1	1	yes	characteristic
695	C₂×#168	C₂⁴	1	1	yes	characteristic
696	D₄₀	—	2	2	no	—
697	D₄₀	—	4	1	no	—
698	#677	—	2	2	no	—
699	#677	—	4	1	no	—
700	#676	—	4	1	no	—
701	C₈×D₅	—	4	1	no	—
702	C₈×D₅	—	4	1	no	—
703	C₈×D₅	—	4	1	no	—
704	#563	—	10	1	no	—
705	#562	—	10	1	no	—
706	#559	—	5	1	no	—
707	#557	—	5	1	no	—
708	#556	—	5	1	no	—
709	#556	—	5	1	no	—
710	#556	—	10	1	no	—
711	#555	—	5	1	no	—
712	#555	—	5	1	no	—
713	#555	—	5	1	no	—
714	#554	—	5	1	no	—
715	#553	—	5	1	no	—
716	#553	—	5	1	no	—
717	#552	—	5	1	no	—
718	#552	—	5	1	no	—
719	#552	—	10	1	no	—
720	#551	—	10	1	no	—
721	#551	—	10	1	no	—
722	D₄×Q₈	—	5	1	no	—
723	#548	—	10	1	no	—
724	#546	—	5	1	no	—
725	#546	—	5	1	no	—
726	#546	—	10	1	no	—
727	D₄²	—	5	1	no	—
728	#544	—	5	1	no	—
729	#544	C₂×D₅	1	1	yes	characteristic, complemented
730	#542	—	5	1	no	—
731	#542	—	5	1	no	—
732	#542	—	5	1	no	—
733	#542	—	10	1	no	—
734	#542	—	10	1	no	—
735	#542	C₂×D₅	1	1	yes	characteristic
736	#541	—	10	1	no	—
737	#539	—	10	1	no	—
738	#538	—	10	1	no	—
739	#538	—	10	1	no	—
740	#533	—	5	1	no	—
741	#532	—	5	1	no	—
742	#529	—	5	1	no	—
743	#529	—	5	1	no	—
744	#529	—	10	1	no	—
745	C₂×#124	—	10	1	no	—
746	#518	—	5	1	no	—
747	#518	—	5	1	no	—
748	C₄×#41	—	5	1	no	—
749	#501	—	5	1	no	—
750	#501	—	5	1	no	—
751	#501	—	5	1	no	—
752	#501	C₂×D₅	1	1	yes	characteristic, complemented
753	#500	—	5	1	no	—
754	#498	C₂×D₅	1	1	yes	characteristic, complemented
755	#490	—	5	1	no	—
756	#490	—	5	1	no	—
757	#489	—	5	1	no	—
758	#489	C₂×D₅	1	1	yes	characteristic, complemented
759	#488	—	5	1	no	—
760	#488	C₂×D₅	1	1	yes	characteristic, complemented
761	#485	—	5	1	no	—
762	#485	—	5	1	no	—
763	#485	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	C₂×D₅	1	1	yes	characteristic, complemented
766	#484	—	5	1	no	—
767	#483	C₂×D₅	1	1	yes	characteristic, complemented
768	#482	—	5	1	no	—
769	#482	—	5	1	no	—
770	#482	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#482	—	5	1	no	—
776	#482	C₂×D₅	1	1	yes	characteristic
777	#481	C₂×D₅	1	1	yes	characteristic
778	#480	—	5	1	no	—
779	#479	—	5	1	no	—
780	#479	—	5	1	no	—
781	#479	C₂×D₅	1	1	yes	characteristic, complemented
782	#478	—	5	1	no	—
783	#478	—	5	1	no	—
784	#478	—	5	1	no	—
785	#478	—	5	1	no	—
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	C₂×D₅	1	1	yes	characteristic, complemented
791	#477	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#476	—	5	1	no	—
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	C₂×D₅	1	1	yes	characteristic, complemented
801	#475	—	5	1	no	—
802	#475	C₂×D₅	1	1	yes	characteristic, complemented
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#470	—	5	1	no	—
810	#469	—	5	1	no	—
811	#468	—	5	1	no	—
812	#468	—	5	1	no	—
813	#467	—	5	1	no	—
814	#466	—	5	1	no	—
815	#466	—	5	1	no	—
816	#466	—	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	#463	—	5	1	no	—
825	#463	—	5	1	no	—
826	#463	—	5	1	no	—
827	#463	—	5	1	no	—
828	#463	—	5	1	no	—
829	#460	—	5	1	no	—
830	#459	—	5	1	no	—
831	#452	—	5	1	no	—
832	#450	—	5	1	no	—
833	#450	—	5	1	no	—
834	#449	—	5	1	no	—
835	#447	—	5	1	no	—
836	#447	—	5	1	no	—
837	#446	—	5	1	no	—
838	#446	—	5	1	no	—
839	#442	—	5	1	no	—
840	#442	—	5	1	no	—
841	#442	—	5	1	no	—
842	#441	—	5	1	no	—
843	#440	—	5	1	no	—
844	#440	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	C₄×SD₁₆	—	5	1	no	—
848	C₄×SD₁₆	—	5	1	no	—
849	C₄×D₈	—	5	1	no	—
850	C₄×D₈	—	5	1	no	—
851	#435	—	5	1	no	—
852	#435	—	5	1	no	—
853	#435	—	5	1	no	—
854	#435	—	5	1	no	—
855	C₈×D₄	—	5	1	no	—
856	C₈×D₄	—	5	1	no	—
857	#433	—	5	1	no	—
858	#433	C₂×D₅	1	1	yes	characteristic, complemented
859	#432	—	5	1	no	—
860	#428	—	5	1	no	—
861	#428	—	5	1	no	—
862	#427	—	5	1	no	—
863	#427	—	5	1	no	—
864	#427	—	5	1	no	—
865	#427	—	5	1	no	—
866	#424	—	5	1	no	—
867	#424	—	5	1	no	—
868	C₂×C₄⋊C₈	—	5	1	no	—
869	#418	—	5	1	no	—
870	#418	—	5	1	no	—
871	#416	—	5	1	no	—
872	#416	—	5	1	no	—
873	C₂×#102	—	5	1	no	—
874	C₂×#102	—	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	—	2	1	no	—
879	C₂²×D₅	—	2	1	no	—
880	C₂²×D₅	—	4	2	no	—
881	C₂²×D₅	—	4	2	no	—
882	C₂²×D₅	—	8	1	no	—
883	C₂²×D₅	—	8	1	no	—
884	C₂²×D₅	—	8	1	no	—
885	C₂²×D₅	—	8	1	no	—
886	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
887	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
888	C₅×Q₈	—	2	1	no	—
889	C₅×Q₈	—	2	1	no	—
890	C₅×Q₈	—	8	1	no	—
891	C₅×Q₈	—	8	1	no	—
892	C₅×Q₈	—	8	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	2	1	no	—
895	C₅×D₄	—	8	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	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	8	1	no	—
906	C₂×C₄×C₅	—	8	1	no	—
907	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
913	C₂²⋊D₅	—	4	1	no	—
914	C₂²⋊D₅	—	4	1	no	—
915	C₂²⋊D₅	—	4	2	no	—
916	C₂²⋊D₅	—	4	2	no	—
917	C₂²⋊D₅	—	8	1	no	—
918	C₂²⋊D₅	—	8	1	no	—
919	C₂²⋊D₅	—	8	1	no	—
920	C₂×Dic₅	—	2	1	no	—
921	C₂×Dic₅	—	2	1	no	—
922	C₂×Dic₅	—	2	1	no	—
923	C₂×Dic₅	—	2	1	no	—
924	C₂×Dic₅	—	2	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	1	no	—
933	D₂₀	—	2	1	no	—
934	D₂₀	—	2	1	no	—
935	D₂₀	—	2	1	no	—
936	D₂₀	—	2	1	no	—
937	D₂₀	—	4	1	no	—
938	D₂₀	—	4	2	no	—
939	D₂₀	—	4	2	no	—
940	D₂₀	—	8	1	no	—
941	D₂₀	—	8	1	no	—
942	D₂₀	—	8	1	no	—
943	D₂₀	—	8	1	no	—
944	D₂₀	2₋¹⁺⁴	1	2	yes	—
945	C₄×D₅	—	2	1	no	—
946	C₄×D₅	—	2	1	no	—
947	C₄×D₅	—	2	1	no	—
948	C₄×D₅	—	2	1	no	—
949	C₄×D₅	—	4	1	no	—
950	C₄×D₅	—	4	1	no	—
951	C₄×D₅	—	4	2	no	—
952	C₄×D₅	—	4	2	no	—
953	C₄×D₅	—	8	1	no	—
954	C₄×D₅	—	8	1	no	—
955	C₄×D₅	—	8	1	no	—
956	C₄×D₅	—	8	1	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	C₄×D₅	—	8	1	no	—
962	Dic₁₀	—	2	1	no	—
963	Dic₁₀	—	2	1	no	—
964	Dic₁₀	—	4	1	no	—
965	Dic₁₀	—	4	2	no	—
966	Dic₁₀	—	8	1	no	—
967	Dic₁₀	—	8	1	no	—
968	Dic₁₀	—	8	1	no	—
969	C₅×C₈	—	2	1	no	—
970	C₅×C₈	—	2	1	no	—
971	C₅×C₈	—	2	1	no	—
972	C₅×C₈	—	2	1	no	—
973	#168	—	2	1	no	—
974	#168	—	2	1	no	—
975	#168	—	2	1	no	—
976	#168	—	2	1	no	—
977	C₂×#41	—	5	1	no	—
978	C₂×#41	—	10	1	no	—
979	C₂²×Q₈	—	10	1	no	—
980	C₂²×D₄	—	5	1	no	—
981	C₂²×D₄	—	5	1	no	—
982	C₂²×D₄	—	10	1	no	—
983	C₂×Q₁₆	—	5	1	no	—
984	C₂×SD₁₆	—	5	1	no	—
985	C₂×SD₁₆	—	5	1	no	—
986	C₂×SD₁₆	—	5	1	no	—
987	C₂×SD₁₆	—	5	1	no	—
988	C₂×D₈	—	5	1	no	—
989	C₂×D₈	—	5	1	no	—
990	C₂×D₈	—	5	1	no	—
991	C₂×M₁₆	—	5	1	no	—
992	C₂×M₁₆	—	5	1	no	—
993	C₂²×C₈	—	5	1	no	—
994	C₂²×C₈	—	5	1	no	—
995	C₂²×C₈	—	5	1	no	—
996	C₂²×C₈	—	5	1	no	—
997	C₄⋊Q₈	—	2	1	no	—
998	C₄⋊Q₈	—	5	1	no	—
999	C₄⋊Q₈	—	5	1	no	—
1000	C₄⋊Q₈	—	5	1	no	—
1001	C₄⋊Q₈	—	5	1	no	—
1002	C₄⋊Q₈	—	10	1	no	—
1003	C₄⋊Q₈	—	10	1	no	—
1004	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1005	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1006	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1007	#127	—	5	1	no	—
1008	#126	—	2	1	no	—
1009	#126	—	5	1	no	—
1010	#126	—	5	1	no	—
1011	#126	—	10	1	no	—
1012	#126	—	10	1	no	—
1013	#126	—	10	1	no	—
1014	#126	—	10	1	no	—
1015	#126	—	10	1	no	—
1016	#126	—	10	1	no	—
1017	#126	—	10	1	no	—
1018	#126	—	10	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	5	1	no	—
1025	#125	—	5	1	no	—
1026	#125	—	5	1	no	—
1027	#125	—	5	1	no	—
1028	#125	—	10	1	no	—
1029	#125	—	10	1	no	—
1030	#125	—	10	1	no	—
1031	#125	—	10	1	no	—
1032	#125	—	10	1	no	—
1033	#125	C₂²×D₅	1	1	yes	characteristic
1034	#125	C₂²×D₅	1	1	yes	characteristic
1035	#124	—	2	1	no	—
1036	#124	—	5	1	no	—
1037	#124	—	5	1	no	—
1038	#124	—	5	1	no	—
1039	#124	—	10	1	no	—
1040	#124	—	10	1	no	—
1041	#124	—	10	1	no	—
1042	#124	—	10	1	no	—
1043	#124	—	10	1	no	—
1044	#124	—	10	1	no	—
1045	#124	—	10	1	no	—
1046	#124	—	10	1	no	—
1047	#124	—	10	1	no	—
1048	#124	—	10	1	no	—
1049	#124	—	10	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	C₂²×D₅	1	1	yes	characteristic
1053	#123	—	2	1	no	—
1054	#123	—	5	1	no	—
1055	#123	—	5	1	no	—
1056	#123	—	10	1	no	—
1057	#123	—	10	1	no	—
1058	#123	—	10	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	—	2	1	no	—
1070	C₂²⋊Q₈	—	2	1	no	—
1071	C₂²⋊Q₈	—	5	1	no	—
1072	C₂²⋊Q₈	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	5	1	no	—
1075	C₂²⋊Q₈	—	5	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	C₂²⋊Q₈	—	10	1	no	—
1078	C₂²⋊Q₈	—	10	1	no	—
1079	C₂²⋊Q₈	—	10	1	no	—
1080	C₂²⋊Q₈	—	10	1	no	—
1081	C₂²⋊Q₈	—	10	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1090	#121	—	5	1	no	—
1091	#121	—	5	1	no	—
1092	#121	—	5	1	no	—
1093	#121	—	5	1	no	—
1094	#121	—	5	1	no	—
1095	#121	—	5	1	no	—
1096	#121	—	5	1	no	—
1097	#121	—	10	1	no	—
1098	#121	—	10	1	no	—
1099	#121	—	10	1	no	—
1100	#121	—	10	1	no	—
1101	#121	—	10	1	no	—
1102	#121	—	10	1	no	—
1103	#121	—	10	1	no	—
1104	#121	—	10	1	no	—
1105	#121	—	10	1	no	—
1106	#121	C₂²×D₅	1	1	yes	characteristic
1107	#120	—	10	1	no	—
1108	#120	—	10	1	no	—
1109	#120	—	10	1	no	—
1110	#120	—	10	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1122	C₄×D₄	—	5	1	no	—
1123	C₄×D₄	—	5	1	no	—
1124	C₄×D₄	—	5	1	no	—
1125	C₄×D₄	—	5	1	no	—
1126	C₄×D₄	—	5	1	no	—
1127	C₄×D₄	—	5	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1147	#117	—	5	1	no	—
1148	#117	—	5	1	no	—
1149	#117	—	5	1	no	—
1150	#117	—	5	1	no	—
1151	#117	—	5	1	no	—
1152	#117	—	5	1	no	—
1153	#117	—	5	1	no	—
1154	#117	—	10	1	no	—
1155	#117	—	10	1	no	—
1156	#117	—	10	1	no	—
1157	#117	—	10	1	no	—
1158	#117	—	10	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	C₂²×D₅	1	1	yes	characteristic
1162	#117	C₂²×D₅	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	—	5	1	no	—
1164	C₂×C₄⋊C₄	—	10	1	no	—
1165	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1166	C₂×C₂²⋊C₄	—	10	1	no	—
1167	C₂×C₂²⋊C₄	—	10	1	no	—
1168	C₂×C₂²⋊C₄	—	10	1	no	—
1169	C₂×C₂²⋊C₄	—	10	1	no	—
1170	C₂×C₂²⋊C₄	—	10	1	no	—
1171	C₂×C₂²⋊C₄	—	10	1	no	—
1172	C₂×C₄²	—	5	1	no	—
1173	C₂×C₄²	—	10	1	no	—
1174	#107	—	5	1	no	—
1175	#107	—	5	1	no	—
1176	#107	—	5	1	no	—
1177	#107	—	5	1	no	—
1178	#107	—	5	1	no	—
1179	#107	—	5	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	C₂²×D₅	1	1	yes	characteristic
1185	#107	C₂²×D₅	1	1	yes	characteristic
1186	#106	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	C₂²×D₅	1	1	yes	characteristic
1193	#106	C₂²×D₅	1	1	yes	characteristic
1194	#106	C₂²×D₅	1	1	yes	characteristic
1195	#106	C₂²×D₅	1	1	yes	characteristic
1196	#106	C₂²×D₅	1	1	yes	characteristic
1197	#106	C₂²×D₅	1	1	yes	characteristic
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	—	5	1	no	—
1202	C₄⋊C₈	—	5	1	no	—
1203	C₄⋊C₈	—	5	1	no	—
1204	C₄⋊C₈	—	5	1	no	—
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1207	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	#102	—	5	1	no	—
1219	#102	—	5	1	no	—
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	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	C₂²×D₅	1	1	yes	characteristic
1237	#102	C₂²×D₅	1	1	yes	characteristic
1238	#102	C₂²×D₅	1	1	yes	characteristic
1239	#102	C₂²×D₅	1	1	yes	characteristic
1240	C₂²⋊C₈	—	5	1	no	—
1241	C₂²⋊C₈	—	5	1	no	—
1242	C₂²⋊C₈	—	5	1	no	—
1243	C₂²⋊C₈	—	5	1	no	—
1244	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1245	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1246	#97	—	5	1	no	—
1247	#97	—	5	1	no	—
1248	#97	—	5	1	no	—
1249	#97	C₂²×D₅	1	1	yes	characteristic
1250	C₄×C₈	—	5	1	no	—
1251	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1252	C₂²×C₅	—	2	1	no	—
1253	C₂²×C₅	—	2	1	no	—
1254	C₂²×C₅	—	2	1	no	—
1255	C₂²×C₅	—	4	1	no	—
1256	C₂²×C₅	—	4	1	no	—
1257	C₂²×C₅	—	4	1	no	—
1258	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1259	C₂×D₅	—	2	1	no	—
1260	C₂×D₅	—	2	1	no	—
1261	C₂×D₅	—	2	1	no	—
1262	C₂×D₅	—	2	1	no	—
1263	C₂×D₅	—	2	1	no	—
1264	C₂×D₅	—	2	1	no	—
1265	C₂×D₅	—	2	2	no	—
1266	C₂×D₅	—	4	1	no	—
1267	C₂×D₅	—	4	1	no	—
1268	C₂×D₅	—	4	1	no	—
1269	C₂×D₅	—	4	1	no	—
1270	C₂×D₅	—	4	1	no	—
1271	C₂×D₅	—	4	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	16	2	no	—
1275	C₂×D₅	—	16	2	no	—
1276	C₄×C₅	—	2	1	no	—
1277	C₄×C₅	—	2	1	no	—
1278	C₄×C₅	—	2	1	no	—
1279	C₄×C₅	—	2	1	no	—
1280	C₄×C₅	—	2	1	no	—
1281	C₄×C₅	—	4	1	no	—
1282	C₄×C₅	—	4	1	no	—
1283	C₄×C₅	—	4	1	no	—
1284	C₄×C₅	—	4	1	no	—
1285	C₄×C₅	—	4	1	no	—
1286	C₄×C₅	—	4	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1289	C₄×C₅	#585	1	1	yes	characteristic
1290	Dic₅	—	2	1	no	—
1291	Dic₅	—	2	1	no	—
1292	Dic₅	—	2	1	no	—
1293	Dic₅	—	2	1	no	—
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	4	1	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	C₂⁴	—	10	1	no	—
1302	C₂⁴	—	10	1	no	—
1303	#41	—	10	2	no	—
1304	#41	—	20	1	no	—
1305	#41	—	40	2	no	—
1306	C₂×Q₈	—	2	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	5	1	no	—
1310	C₂×Q₈	—	5	1	no	—
1311	C₂×Q₈	—	10	1	no	—
1312	C₂×Q₈	—	10	1	no	—
1313	C₂×Q₈	—	10	1	no	—
1314	C₂×Q₈	—	10	1	no	—
1315	C₂×Q₈	—	40	2	no	—
1316	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1317	C₂×D₄	—	2	1	no	—
1318	C₂×D₄	—	5	1	no	—
1319	C₂×D₄	—	5	1	no	—
1320	C₂×D₄	—	5	1	no	—
1321	C₂×D₄	—	5	1	no	—
1322	C₂×D₄	—	5	1	no	—
1323	C₂×D₄	—	5	1	no	—
1324	C₂×D₄	—	10	2	no	—
1325	C₂×D₄	—	10	1	no	—
1326	C₂×D₄	—	10	1	no	—
1327	C₂×D₄	—	10	1	no	—
1328	C₂×D₄	—	10	1	no	—
1329	C₂×D₄	—	10	1	no	—
1330	C₂×D₄	—	10	1	no	—
1331	C₂×D₄	—	10	1	no	—
1332	C₂×D₄	—	10	1	no	—
1333	C₂×D₄	—	10	2	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	20	1	no	—
1338	C₂×D₄	—	20	1	no	—
1339	C₂×D₄	—	40	2	no	—
1340	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1341	C₂²×C₄	—	2	1	no	—
1342	C₂²×C₄	—	2	1	no	—
1343	C₂²×C₄	—	5	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	5	1	no	—
1346	C₂²×C₄	—	5	1	no	—
1347	C₂²×C₄	—	10	1	no	—
1348	C₂²×C₄	—	10	1	no	—
1349	C₂²×C₄	—	10	1	no	—
1350	C₂²×C₄	—	10	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	—	10	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1360	Q₁₆	—	20	1	no	—
1361	SD₁₆	—	10	2	no	—
1362	SD₁₆	—	20	1	no	—
1363	SD₁₆	—	20	1	no	—
1364	SD₁₆	—	20	1	no	—
1365	D₈	—	10	2	no	—
1366	D₈	—	20	1	no	—
1367	D₈	—	20	1	no	—
1368	M₁₆	—	20	1	no	—
1369	M₁₆	—	20	1	no	—
1370	C₂×C₈	—	5	1	no	—
1371	C₂×C₈	—	5	1	no	—
1372	C₂×C₈	—	5	1	no	—
1373	C₂×C₈	—	5	1	no	—
1374	C₂×C₈	—	20	1	no	—
1375	C₂×C₈	—	20	1	no	—
1376	C₂×C₈	—	20	1	no	—
1377	C₂×C₈	—	20	1	no	—
1378	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1379	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1380	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1381	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	5	1	no	—
1393	C₄⋊C₄	—	5	1	no	—
1394	C₄⋊C₄	—	5	1	no	—
1395	C₄⋊C₄	—	5	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	1	no	—
1398	C₄⋊C₄	—	5	1	no	—
1399	C₄⋊C₄	—	5	1	no	—
1400	C₄⋊C₄	—	5	1	no	—
1401	C₄⋊C₄	—	5	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	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	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1424	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1425	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1428	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	5	1	no	—
1438	C₂²⋊C₄	—	5	1	no	—
1439	C₂²⋊C₄	—	5	1	no	—
1440	C₂²⋊C₄	—	5	1	no	—
1441	C₂²⋊C₄	—	5	1	no	—
1442	C₂²⋊C₄	—	5	1	no	—
1443	C₂²⋊C₄	—	5	1	no	—
1444	C₂²⋊C₄	—	5	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	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1476	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	5	1	no	—
1480	C₄²	—	5	1	no	—
1481	C₄²	—	5	1	no	—
1482	C₄²	—	5	1	no	—
1483	C₄²	—	10	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	C₂³×D₅	1	1	yes	characteristic
1494	C₄²	C₂³×D₅	1	1	yes	characteristic
1495	C₂×C₅	—	4	1	no	—
1496	C₂×C₅	—	8	1	no	—
1497	C₂×C₅	#3489	1	1	yes	characteristic
1498	C₂×C₅	#3584	1	1	yes	characteristic
1499	C₂×C₅	#3585	1	1	yes	characteristic
1500	D₅	—	4	1	no	—
1501	D₅	—	4	1	no	—
1502	D₅	—	4	2	no	—
1503	D₅	—	8	1	no	—
1504	D₅	—	8	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	5	1	no	—
1507	C₂³	—	5	1	no	—
1508	C₂³	—	10	1	no	—
1509	C₂³	—	10	1	no	—
1510	C₂³	—	10	1	no	—
1511	C₂³	—	20	2	no	—
1512	C₂³	—	20	2	no	—
1513	C₂³	—	40	1	no	—
1514	C₂³	—	40	1	no	—
1515	C₂³	—	40	1	no	—
1516	C₂³	—	40	1	no	—
1517	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	8	1	no	—
1521	Q₈	—	8	1	no	—
1522	Q₈	—	8	1	no	—
1523	Q₈	—	10	1	no	—
1524	Q₈	—	10	1	no	—
1525	Q₈	—	20	1	no	—
1526	Q₈	—	20	2	no	—
1527	Q₈	—	40	1	no	—
1528	Q₈	—	40	1	no	—
1529	Q₈	—	40	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	5	2	no	—
1533	D₄	—	8	1	no	—
1534	D₄	—	10	1	no	—
1535	D₄	—	10	1	no	—
1536	D₄	—	10	1	no	—
1537	D₄	—	10	1	no	—
1538	D₄	—	10	1	no	—
1539	D₄	—	20	1	no	—
1540	D₄	—	20	2	no	—
1541	D₄	—	20	2	no	—
1542	D₄	—	20	1	no	—
1543	D₄	—	20	1	no	—
1544	D₄	—	20	2	no	—
1545	D₄	—	20	2	no	—
1546	D₄	—	40	1	no	—
1547	D₄	—	40	1	no	—
1548	D₄	—	40	1	no	—
1549	D₄	—	40	1	no	—
1550	D₄	—	40	1	no	—
1551	D₄	—	40	1	no	—
1552	D₄	—	40	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	5	1	no	—
1563	C₂×C₄	—	5	1	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	1	no	—
1566	C₂×C₄	—	5	1	no	—
1567	C₂×C₄	—	5	1	no	—
1568	C₂×C₄	—	8	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	10	1	no	—
1571	C₂×C₄	—	10	1	no	—
1572	C₂×C₄	—	10	1	no	—
1573	C₂×C₄	—	10	1	no	—
1574	C₂×C₄	—	10	1	no	—
1575	C₂×C₄	—	10	1	no	—
1576	C₂×C₄	—	10	1	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	20	1	no	—
1580	C₂×C₄	—	20	1	no	—
1581	C₂×C₄	—	20	2	no	—
1582	C₂×C₄	—	20	2	no	—
1583	C₂×C₄	—	40	1	no	—
1584	C₂×C₄	—	40	1	no	—
1585	C₂×C₄	—	40	1	no	—
1586	C₂×C₄	—	40	1	no	—
1587	C₂×C₄	—	40	1	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	—	40	1	no	—
1592	C₂×C₄	—	40	1	no	—
1593	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1594	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1595	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1598	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1599	C₈	—	2	1	no	—
1600	C₈	—	2	1	no	—
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	10	1	no	—
1604	C₈	—	10	1	no	—
1605	C₈	—	10	1	no	—
1606	C₈	—	10	1	no	—
1607	C₅	#62159	1	1	yes	characteristic, complemented, Sylow
1608	C₂²	—	2	1	no	—
1609	C₂²	—	2	1	no	—
1610	C₂²	—	2	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	10	1	no	—
1615	C₂²	—	10	1	no	—
1616	C₂²	—	10	2	no	—
1617	C₂²	—	10	1	no	—
1618	C₂²	—	10	1	no	—
1619	C₂²	—	10	1	no	—
1620	C₂²	—	10	1	no	—
1621	C₂²	—	20	1	no	—
1622	C₂²	—	20	1	no	—
1623	C₂²	—	20	1	no	—
1624	C₂²	—	20	1	no	—
1625	C₂²	—	20	1	no	—
1626	C₂²	—	20	1	no	—
1627	C₂²	—	20	1	no	—
1628	C₂²	—	20	1	no	—
1629	C₂²	—	80	2	no	—
1630	C₂²	—	80	2	no	—
1631	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	2	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	10	1	no	—
1645	C₄	—	10	1	no	—
1646	C₄	—	10	1	no	—
1647	C₄	—	10	1	no	—
1648	C₄	—	10	1	no	—
1649	C₄	—	10	1	no	—
1650	C₄	—	20	1	no	—
1651	C₄	—	20	1	no	—
1652	C₄	—	20	1	no	—
1653	C₄	—	20	1	no	—
1654	C₄	—	20	1	no	—
1655	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1656	C₄	#66287	1	1	yes	characteristic
1657	C₂	—	4	1	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	20	1	no	—
1660	C₂	—	20	1	no	—
1661	C₂	—	20	2	no	—
1662	C₂	—	40	1	no	—
1663	C₂	—	40	1	no	—
1664	C₂	#10618257	1	1	yes	characteristic
1665	C₂	#10619107	1	1	yes	characteristic
1666	C₂	#10619108	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×#3244	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3244	D₅
hypocenter	C₅	#62159
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3244

Complements

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

N	H ≅ G/N	type
1. #10618495	C₂	semidirect
2. #10618455	C₂	semidirect
3. C₅×#3244	C₂	semidirect
4. #10615205	C₂	semidirect
5. #10615197	C₂	semidirect
6. #10613725	C₂	semidirect
7. #10613697	C₂	semidirect
8. #10613636	C₂	semidirect
9. #10613631	C₂	semidirect
10. #10613429	C₂	semidirect
11. #10613403	C₂	semidirect
12. #10613393	C₂	semidirect
13. #10613384	C₂	semidirect
14. #10613269	C₂	semidirect
15. #10613259	C₂	semidirect
16. #10613176	C₂	semidirect
17. #10613170	C₂	semidirect
18. #10613120	C₂	semidirect
19. #10613114	C₂	semidirect
20. #10613074	C₂	semidirect
21. #10613067	C₂	semidirect
22. #10612973	C₂	semidirect
23. #10612937	C₂	semidirect
24. #10612899	C₂	semidirect
25. #10612879	C₂	semidirect
26. #10612797	C₂	semidirect
27. #10612779	C₂	semidirect
28. #10612767	C₂	semidirect
29. #10612741	C₂	semidirect
30. #10611114	C₂	semidirect
31. #10611110	C₂	semidirect
32. C₅×#544	C₂²	semidirect
36. #66067	C₂²	semidirect
37. #66066	C₂²	semidirect
39. #66064	C₂²	semidirect
40. #66062	C₂²	semidirect
45. #66029	C₂²	semidirect
47. #66025	C₂²	semidirect
48. #66023	C₂²	semidirect
49. #66019	C₂²	semidirect
70. #65868	C₂²	semidirect
71. #65866	C₂²	semidirect
76. #65847	C₂²	semidirect
77. C₅×#501	C₂²	semidirect
78. C₅×#498	C₂²	semidirect
79. C₅×#489	C₂²	semidirect
80. C₅×#488	C₂²	semidirect
81. C₅×#485	C₂²	semidirect
82. C₅×#483	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#478	C₂²	semidirect
87. C₅×#476	C₂²	semidirect
88. C₅×#475	C₂²	semidirect
89. C₅×#433	C₂²	semidirect
90. #65380	C₂²	semidirect
92. #65376	C₂²	semidirect
93. #65376	C₂²	semidirect
95. #65373	C₂²	semidirect
98. #65355	C₂²	semidirect
99. #65355	C₂²	semidirect
100. #65346	C₂²	semidirect
101. #65343	C₂²	semidirect
102. #65340	C₂²	semidirect
103. #65338	C₂²	semidirect
106. #65317	C₂²	semidirect
107. #65310	C₂²	semidirect
108. #65305	C₂²	semidirect
109. #65296	C₂²	semidirect
111. #65288	C₂²	semidirect
112. #65287	C₂²	semidirect
114. #65253	C₂²	semidirect
117. #65174	C₂²	semidirect
118. #65172	C₂²	semidirect
120. #65170	C₂²	semidirect
121. #65164	C₂²	semidirect
122. #65163	C₂²	semidirect
126. #65159	C₂²	semidirect
127. #65159	C₂²	semidirect
130. #65156	C₂²	semidirect
131. #65156	C₂²	semidirect
133. #65155	C₂²	semidirect
134. #65155	C₂²	semidirect
135. #65155	C₂²	semidirect
138. #65153	C₂²	semidirect
139. #65149	C₂²	semidirect
140. #65149	C₂²	semidirect
141. #65149	C₂²	semidirect
142. #65145	C₂²	semidirect
143. #65145	C₂²	semidirect
144. #65145	C₂²	semidirect
145. #65143	C₂²	semidirect
147. #65135	C₂²	semidirect
149. #65133	C₂²	semidirect
151. #65129	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. D₅×C₄⋊C₈	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65106	C₂²	semidirect
157. #65105	C₂²	semidirect
158. #65103	C₂²	semidirect
161. #65098	C₂²	semidirect
162. #65096	C₂²	semidirect
165. #65089	C₂²	semidirect
166. #65088	C₂²	semidirect
167. #65088	C₂²	semidirect
168. #65087	C₂²	semidirect
169. #65084	C₂²	semidirect
170. #65078	C₂²	semidirect
172. #65073	C₂²	semidirect
173. #65073	C₂²	semidirect
174. #65067	C₂²	semidirect
176. #65064	C₂²	semidirect
182. #65052	C₂²	semidirect
184. #65050	C₂²	semidirect
185. #65046	C₂²	semidirect
186. #65045	C₂²	semidirect
187. #65026	C₂²	semidirect
192. #65017	C₂²	semidirect
193. #65014	C₂²	semidirect
194. #65012	C₂²	semidirect
195. #65000	C₂²	semidirect
197. #64995	C₂²	semidirect
198. #64990	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. C₈×D₂₀	C₂²	semidirect
202. #64968	C₂²	semidirect
500. #3244	D₅	semidirect
729. #544	C₂×D₅	semidirect
752. #501	C₂×D₅	semidirect
754. #498	C₂×D₅	semidirect
758. #489	C₂×D₅	semidirect
760. #488	C₂×D₅	semidirect
765. #485	C₂×D₅	semidirect
767. #483	C₂×D₅	semidirect
781. #479	C₂×D₅	semidirect
790. #478	C₂×D₅	semidirect
800. #476	C₂×D₅	semidirect
802. #475	C₂×D₅	semidirect
858. #433	C₂×D₅	semidirect
1607. C₅	#62159	semidirect

Maximal subgroups

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

subgroup	index
#10618495	2
#10618455	2
C₅×#3244	2
#10615205	2
#10615197	2
#10613725	2
#10613697	2
#10613636	2
#10613631	2
#10613429	2
#10613403	2
#10613393	2
#10613384	2
#10613269	2
#10613259	2
#10613176	2
#10613170	2
#10613120	2
#10613114	2
#10613074	2
#10613067	2
#10612973	2
#10612937	2
#10612899	2
#10612879	2
#10612797	2
#10612779	2
#10612767	2
#10612741	2
#10611114	2
#10611110	2
#62159	5