Subgroups — #12996282

Order 1280.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618395	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617808	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3119	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615168	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614291	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613066	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613051	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613026	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613025	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612974	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612969	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612902	C₂	1	1	yes	maximal, characteristic, complemented
13	D₅×#478	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612134	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612097	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612047	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612045	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611839	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611838	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611837	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611833	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611611	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611586	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611538	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611488	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611419	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611361	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611340	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611307	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611110	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611096	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#540	C₂²	1	1	yes	characteristic, complemented
33	C₅×#520	C₂²	1	1	yes	characteristic
34	#66163	C₂²	1	1	yes	characteristic
35	#66158	C₂²	1	1	yes	characteristic
36	#66053	C₂²	1	1	yes	characteristic, complemented
37	#66050	C₂²	1	1	yes	characteristic
38	#66023	C₂²	1	1	yes	characteristic, complemented
39	D₅×#125	C₂²	1	1	yes	characteristic
40	#65999	—	2	1	no	—
41	#65994	—	2	1	no	—
42	#65989	—	2	1	no	—
43	#65985	—	2	1	no	—
44	#65955	—	2	1	no	—
45	#65952	C₂²	1	1	yes	characteristic, complemented
46	#65948	C₂²	1	1	yes	characteristic
47	#65948	C₂²	1	1	yes	characteristic, complemented
48	#65945	—	2	1	no	—
49	#65945	C₂²	1	1	yes	characteristic
50	#65942	—	2	1	no	—
51	#65936	—	2	1	no	—
52	#65916	C₂²	1	1	yes	characteristic
53	#65913	C₂²	1	1	yes	characteristic
54	#65912	C₂²	1	1	yes	characteristic
55	#65902	C₂²	1	1	yes	characteristic
56	#65898	—	2	1	no	—
57	#65892	C₂²	1	1	yes	characteristic
58	#65890	—	2	1	no	—
59	#65888	C₂²	1	1	yes	characteristic
60	#65886	—	2	1	no	—
61	#65885	C₂²	1	1	yes	characteristic
62	#65881	—	2	1	no	—
63	#65880	C₂²	1	1	yes	characteristic
64	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
65	#65877	C₂²	1	1	yes	characteristic, complemented
66	#65873	C₂²	1	1	yes	characteristic, complemented
67	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
68	#65868	C₂²	1	1	yes	characteristic
69	#65865	—	2	1	no	—
70	#65862	C₂²	1	1	yes	characteristic
71	#65861	—	2	1	no	—
72	#65853	C₂²	1	1	yes	characteristic, complemented
73	#65849	—	2	1	no	—
74	#65845	C₂²	1	1	yes	characteristic
75	C₂×#4042	—	2	1	no	—
76	#65841	C₂²	1	1	yes	characteristic
77	C₅×#481	C₂²	1	1	yes	characteristic, complemented
78	C₅×#480	C₂²	1	1	yes	characteristic, complemented
79	C₅×#479	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic
81	C₅×#460	C₂²	1	1	yes	characteristic, complemented
82	C₅×#459	C₂²	1	1	yes	characteristic
83	C₅×#449	C₂²	1	1	yes	characteristic
84	C₅×#449	C₂²	1	1	yes	characteristic
85	C₅×#442	C₂²	1	1	yes	characteristic
86	C₅×#440	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
89	C₅×#433	C₂²	1	1	yes	characteristic, complemented
90	#65522	C₂²	1	1	yes	characteristic
91	#65521	C₂²	1	1	yes	characteristic
92	#65463	C₂²	1	1	yes	characteristic, complemented
93	#65460	C₂²	1	1	yes	characteristic
94	#65460	C₂²	1	1	yes	characteristic
95	#65460	C₂²	1	1	yes	characteristic, complemented
96	#65454	C₂²	1	1	yes	characteristic
97	#65454	C₂²	1	1	yes	characteristic
98	#65451	C₂²	1	1	yes	characteristic, complemented
99	#65451	C₂²	1	1	yes	characteristic, complemented
100	#65447	C₂²	1	1	yes	characteristic
101	#65447	C₂²	1	1	yes	characteristic
102	#65445	C₂²	1	1	yes	characteristic
103	#65445	C₂²	1	1	yes	characteristic
104	#65441	C₂²	1	1	yes	characteristic
105	#65441	C₂²	1	1	yes	characteristic
106	#65441	C₂²	1	1	yes	characteristic
107	D₈×Dic₅	C₂²	1	1	yes	characteristic
108	#65364	C₂²	1	1	yes	characteristic, complemented
109	#65361	C₂²	1	1	yes	characteristic
110	#65355	C₂²	1	1	yes	characteristic
111	#65352	C₂²	1	1	yes	characteristic, complemented
112	#65331	C₂²	1	1	yes	characteristic, complemented
113	#65330	C₂²	1	1	yes	characteristic, complemented
114	#65328	C₂²	1	1	yes	characteristic
115	#65327	C₂²	1	1	yes	characteristic
116	#65311	C₂²	1	1	yes	characteristic, complemented
117	#65311	C₂²	1	1	yes	characteristic, complemented
118	#65309	C₂²	1	1	yes	characteristic, complemented
119	#65309	C₂²	1	1	yes	characteristic, complemented
120	#65305	C₂²	1	1	yes	characteristic
121	#65305	C₂²	1	1	yes	characteristic
122	#65298	C₂²	1	1	yes	characteristic
123	#65298	C₂²	1	1	yes	characteristic
124	#65297	C₂²	1	1	yes	characteristic
125	#65297	C₂²	1	1	yes	characteristic
126	#65297	C₂²	1	1	yes	characteristic, complemented
127	#65296	C₂²	1	1	yes	characteristic, complemented
128	#65288	C₂²	1	1	yes	characteristic, complemented
129	#65253	C₂²	1	1	yes	characteristic, complemented
130	C₂×#3940	C₂²	1	1	yes	characteristic, complemented
131	#65180	C₂²	1	1	yes	characteristic
132	#65174	C₂²	1	1	yes	characteristic
133	#65173	C₂²	1	1	yes	characteristic
134	#65170	C₂²	1	1	yes	characteristic, complemented
135	D₅×#107	C₂²	1	1	yes	characteristic
136	#65166	C₂²	1	1	yes	characteristic, complemented
137	#65165	C₂²	1	1	yes	characteristic, complemented
138	#65165	C₂²	1	1	yes	characteristic, complemented
139	#65160	C₂²	1	1	yes	characteristic
140	#65152	C₂²	1	1	yes	characteristic
141	#65151	C₂²	1	1	yes	characteristic
142	D₅×#106	C₂²	1	1	yes	characteristic
143	D₅×#106	C₂²	1	1	yes	characteristic, complemented
144	#65145	C₂²	1	1	yes	characteristic, complemented
145	#65144	C₂²	1	1	yes	characteristic, complemented
146	#65143	C₂²	1	1	yes	characteristic, complemented
147	#65140	C₂²	1	1	yes	characteristic, complemented
148	#65136	C₂²	1	1	yes	characteristic
149	#65131	C₂²	1	1	yes	characteristic
150	#65129	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65124	C₂²	1	1	yes	characteristic
153	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65104	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic
157	#65094	C₂²	1	1	yes	characteristic
158	#65094	C₂²	1	1	yes	characteristic, complemented
159	#65089	C₂²	1	1	yes	characteristic
160	#65086	C₂²	1	1	yes	characteristic, complemented
161	#65086	C₂²	1	1	yes	characteristic, complemented
162	#65084	C₂²	1	1	yes	characteristic
163	#65074	C₂²	1	1	yes	characteristic
164	#65074	C₂²	1	1	yes	characteristic
165	#65071	C₂²	1	1	yes	characteristic
166	#65067	C₂²	1	1	yes	characteristic
167	#65067	C₂²	1	1	yes	characteristic
168	#65066	C₂²	1	1	yes	characteristic
169	#65066	C₂²	1	1	yes	characteristic
170	#65066	C₂²	1	1	yes	characteristic, complemented
171	#65064	C₂²	1	1	yes	characteristic
172	#65063	C₂²	1	1	yes	characteristic, complemented
173	#65061	C₂²	1	1	yes	characteristic
174	#65060	C₂²	1	1	yes	characteristic
175	D₅×#102	C₂²	1	1	yes	characteristic
176	D₅×#102	C₂²	1	1	yes	characteristic
177	#65055	C₂²	1	1	yes	characteristic
178	#65052	C₂²	1	1	yes	characteristic
179	#65052	C₂²	1	1	yes	characteristic
180	#65050	C₂²	1	1	yes	characteristic
181	#65050	C₂²	1	1	yes	characteristic, complemented
182	#65050	C₂²	1	1	yes	characteristic, complemented
183	#65050	C₂²	1	1	yes	characteristic, complemented
184	#65048	C₂²	1	1	yes	characteristic, complemented
185	#65047	C₂²	1	1	yes	characteristic, complemented
186	#65046	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic
188	#65024	C₂²	1	1	yes	characteristic
189	#65019	C₂²	1	1	yes	characteristic, complemented
190	#65017	C₂²	1	1	yes	characteristic
191	#65017	C₂²	1	1	yes	characteristic, complemented
192	#65014	C₂²	1	1	yes	characteristic
193	#65012	C₂²	1	1	yes	characteristic, complemented
194	#65010	C₂²	1	1	yes	characteristic, complemented
195	#65003	C₂²	1	1	yes	characteristic
196	#64995	C₂²	1	1	yes	characteristic
197	#64991	C₂²	1	1	yes	characteristic, complemented
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic
200	C₈×D₂₀	C₂²	1	1	yes	characteristic
201	#64969	C₂²	1	1	yes	characteristic, complemented
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#62166	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×#711	—	2	1	no	—
206	C₂×#711	—	2	1	no	—
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
209	C₂×#709	—	2	1	no	—
210	C₂×#709	—	2	1	no	—
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂²×Dic₁₀	—	2	1	no	—
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
216	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
217	C₅×#127	C₂³	1	1	yes	characteristic
218	C₅×#125	C₂³	1	1	yes	characteristic
219	C₅×#123	—	2	1	no	—
220	C₅×#123	—	2	1	no	—
221	C₅×#121	—	2	1	no	—
222	C₅×#121	—	2	1	no	—
223	C₅×#121	C₂³	1	1	yes	characteristic
224	C₅×#121	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	—	2	1	no	—
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
233	C₅×#117	—	2	1	no	—
234	C₅×#117	C₂³	1	1	yes	characteristic
235	C₂×C₅×C₄⋊C₄	—	2	1	no	—
236	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	#4093	C₂³	1	1	yes	characteristic
238	#4092	C₂³	1	1	yes	characteristic
239	#4092	C₂³	1	1	yes	characteristic
240	#4090	C₂³	1	1	yes	characteristic
241	#4085	—	2	1	no	—
242	#4085	—	2	1	no	—
243	#4085	—	2	1	no	—
244	#4085	—	2	1	no	—
245	#4085	—	2	1	no	—
246	#4084	—	2	1	no	—
247	#4084	—	2	1	no	—
248	#4084	—	2	1	no	—
249	#4084	C₂³	1	1	yes	characteristic
250	#4084	C₂³	1	1	yes	characteristic
251	#4084	C₂³	1	1	yes	characteristic
252	#4084	C₂³	1	1	yes	characteristic
253	#4083	—	2	1	no	—
254	#4082	—	2	1	no	—
255	#4081	—	2	1	no	—
256	#4081	—	2	1	no	—
257	#4081	—	2	1	no	—
258	#4081	—	2	1	no	—
259	#4081	—	2	1	no	—
260	#4081	—	2	1	no	—
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	—	2	1	no	—
263	D₄×Dic₅	C₂³	1	1	yes	characteristic
264	D₄×Dic₅	C₂³	1	1	yes	characteristic
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	D₄×Dic₅	C₂³	1	1	yes	characteristic
267	D₄×Dic₅	C₂³	1	1	yes	characteristic
268	D₄×Dic₅	C₂³	1	1	yes	characteristic
269	C₂×#687	C₂³	1	1	yes	characteristic
270	C₂×#687	C₂³	1	1	yes	characteristic
271	C₂×#686	C₂³	1	1	yes	characteristic
272	C₂×#686	C₂³	1	1	yes	characteristic
273	#4076	—	2	1	no	—
274	#4076	C₂³	1	1	yes	characteristic
275	#4075	—	2	1	no	—
276	#4075	—	2	1	no	—
277	#4075	—	2	1	no	—
278	#4075	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
284	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
285	C₂×#685	—	2	1	no	—
286	C₂×#685	—	2	1	no	—
287	#4072	C₂³	1	1	yes	characteristic
288	C₂×C₄⋊Dic₅	—	2	1	no	—
289	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
290	#4070	—	2	1	no	—
291	#4070	—	2	1	no	—
292	#4070	—	2	1	no	—
293	#4070	—	2	1	no	—
294	#4070	—	2	1	no	—
295	#4070	C₂³	1	1	yes	characteristic
296	C₂×#683	—	2	1	no	—
297	C₂×#683	—	2	1	no	—
298	C₂×#683	—	2	1	no	—
299	C₂×#681	C₂³	1	1	yes	characteristic
300	C₂²×#168	C₂³	1	1	yes	characteristic
301	C₂×#676	C₂³	1	1	yes	characteristic
302	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
303	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4044	D₄	1	1	yes	characteristic
308	#4043	—	2	1	no	—
309	#4043	C₂³	1	1	yes	characteristic
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4042	—	2	1	no	—
315	#4042	—	2	1	no	—
316	#4042	—	2	1	no	—
317	#4042	—	2	1	no	—
318	#4042	—	2	1	no	—
319	#4042	D₄	1	1	yes	characteristic
320	#4041	C₂³	1	1	yes	characteristic
321	#4040	—	2	1	no	—
322	#4040	—	2	1	no	—
323	#4040	D₄	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4038	C₂³	1	1	yes	characteristic
326	D₅×C₄⋊C₄	—	2	1	no	—
327	D₅×C₄⋊C₄	—	2	1	no	—
328	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
329	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
330	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
331	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
332	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
333	#4036	—	2	1	no	—
334	#4036	C₂³	1	1	yes	characteristic
335	#4036	C₂³	1	1	yes	characteristic
336	#4036	C₂³	1	1	yes	characteristic
337	#4035	—	2	1	no	—
338	#4035	—	2	1	no	—
339	#4035	—	2	1	no	—
340	#4035	—	2	1	no	—
341	#4035	—	2	1	no	—
342	#4035	D₄	1	1	yes	characteristic
343	#4034	—	2	1	no	—
344	#4034	—	2	1	no	—
345	#4034	C₂³	1	1	yes	characteristic
346	#4034	C₂³	1	1	yes	characteristic
347	#4034	C₂³	1	1	yes	characteristic
348	#4033	C₂³	1	1	yes	characteristic
349	#4032	—	2	1	no	—
350	#4032	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	D₄	1	1	yes	characteristic
353	#4030	—	2	1	no	—
354	#4030	D₄	1	1	yes	characteristic
355	#4029	—	2	1	no	—
356	#4029	—	2	1	no	—
357	#4029	—	2	1	no	—
358	#4029	—	2	1	no	—
359	#4029	D₄	1	1	yes	characteristic
360	#4028	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4027	—	2	1	no	—
363	#4027	—	2	1	no	—
364	#4027	—	2	1	no	—
365	D₅×C₂²⋊C₄	—	2	1	no	—
366	#4025	—	2	1	no	—
367	#4025	—	2	1	no	—
368	#4025	—	2	1	no	—
369	#4025	—	2	1	no	—
370	#4025	D₄	1	1	yes	characteristic
371	#4024	—	2	1	no	—
372	#4024	—	2	1	no	—
373	#4024	—	2	1	no	—
374	#4024	—	2	1	no	—
375	#4024	—	2	1	no	—
376	#4024	—	2	1	no	—
377	#4024	—	2	1	no	—
378	#4024	—	2	1	no	—
379	#4024	—	2	1	no	—
380	#4023	—	2	1	no	—
381	#4022	—	2	1	no	—
382	#4022	—	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	#4018	—	2	1	no	—
389	#4018	—	2	1	no	—
390	#4018	C₂³	1	1	yes	characteristic
391	C₄²×D₅	C₂³	1	1	yes	characteristic
392	#4016	—	2	1	no	—
393	#4016	C₂³	1	1	yes	characteristic
394	#4016	C₂³	1	1	yes	characteristic
395	#4015	C₂³	1	1	yes	characteristic
396	#4015	C₂³	1	1	yes	characteristic
397	#4015	C₂³	1	1	yes	characteristic
398	C₄×Dic₁₀	—	2	1	no	—
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×#102	C₂³	1	1	yes	characteristic
410	C₅×#102	C₂³	1	1	yes	characteristic
411	C₅×#102	C₂³	1	1	yes	characteristic
412	C₅×#102	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	C₅×#97	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	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	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	#3949	C₂³	1	1	yes	characteristic
442	#3949	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	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	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	#3940	C₂³	1	1	yes	characteristic
470	#3940	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	#3559	—	5	1	no	—
480	#3520	—	5	1	no	—
481	#3384	—	5	1	no	—
482	#3384	—	5	1	no	—
483	#3376	—	5	1	no	—
484	#3376	—	5	1	no	—
485	#3346	—	5	1	no	—
486	#3346	—	5	1	no	—
487	#3345	—	5	1	no	—
488	#3345	—	5	1	no	—
489	#3335	—	5	1	no	—
490	#3335	—	5	1	no	—
491	#3307	—	5	1	no	—
492	#3307	—	5	1	no	—
493	#3306	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3297	—	5	1	no	—
496	#3297	—	5	1	no	—
497	#3257	—	5	1	no	—
498	#3257	—	5	1	no	—
499	#3246	—	5	1	no	—
500	#3244	—	5	1	no	—
501	#3244	—	5	1	no	—
502	#3236	—	5	1	no	—
503	#3119	—	5	1	no	—
504	#3119	D₅	1	1	yes	characteristic, complemented
505	#3109	—	5	1	no	—
506	#3084	—	5	1	no	—
507	#3084	—	5	1	no	—
508	C₂×#478	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₅×#41	—	2	2	no	—
512	C₅×#41	—	4	1	no	—
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×D₄	—	2	1	no	—
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	—	2	1	no	—
528	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
537	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
538	C₂²×Dic₅	—	2	1	no	—
539	C₂²×Dic₅	—	2	1	no	—
540	C₂²×Dic₅	—	2	1	no	—
541	C₂²×Dic₅	—	2	1	no	—
542	C₂²×Dic₅	—	2	1	no	—
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	#711	—	2	2	no	—
547	#711	—	4	1	no	—
548	#711	—	8	2	no	—
549	#711	—	8	2	no	—
550	D₄×D₅	—	2	2	no	—
551	D₄×D₅	—	4	1	no	—
552	#709	—	8	2	no	—
553	#709	—	8	2	no	—
554	C₂×D₂₀	—	2	1	no	—
555	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
556	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	8	2	no	—
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	2	1	no	—
575	C₂×Dic₁₀	—	8	2	no	—
576	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
577	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
578	C₅×SD₁₆	—	4	1	no	—
579	C₅×SD₁₆	—	4	1	no	—
580	C₅×D₈	—	2	2	no	—
581	C₅×D₈	—	2	2	no	—
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
605	C₄²×C₅	—	2	1	no	—
606	C₄²×C₅	—	2	1	no	—
607	C₄²×C₅	C₂⁴	1	1	yes	characteristic
608	C₄²×C₅	C₂⁴	1	1	yes	characteristic
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	—	2	1	no	—
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
622	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
623	#687	—	4	1	no	—
624	#687	—	4	1	no	—
625	#686	—	4	1	no	—
626	#686	—	4	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	—	2	1	no	—
653	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂×D₄	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	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
696	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
697	#681	—	4	1	no	—
698	C₂×#168	—	4	1	no	—
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	#676	—	4	1	no	—
704	C₈×D₅	—	4	1	no	—
705	C₈×D₅	—	4	1	no	—
706	C₈×D₅	—	4	1	no	—
707	#563	—	10	1	no	—
708	#562	—	10	1	no	—
709	#556	—	5	1	no	—
710	#554	—	5	1	no	—
711	#554	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#553	—	5	1	no	—
715	#553	—	5	1	no	—
716	#553	—	5	1	no	—
717	#553	—	5	1	no	—
718	#552	—	10	1	no	—
719	#551	—	10	1	no	—
720	#551	—	10	1	no	—
721	D₄×Q₈	—	5	1	no	—
722	#548	—	10	1	no	—
723	#547	—	5	1	no	—
724	#547	—	5	1	no	—
725	#547	—	5	1	no	—
726	#547	—	5	1	no	—
727	#547	—	10	1	no	—
728	#547	—	10	1	no	—
729	#546	—	5	1	no	—
730	#546	—	5	1	no	—
731	#544	—	5	1	no	—
732	#544	—	5	1	no	—
733	#542	—	5	1	no	—
734	#542	—	5	1	no	—
735	#540	—	5	1	no	—
736	#540	C₂×D₅	1	1	yes	characteristic, complemented
737	#539	—	10	1	no	—
738	#539	—	10	1	no	—
739	#539	—	10	1	no	—
740	#539	—	10	1	no	—
741	#539	—	10	1	no	—
742	#537	—	10	1	no	—
743	#533	—	5	1	no	—
744	#532	—	5	1	no	—
745	#529	—	5	1	no	—
746	C₂×#125	—	5	1	no	—
747	#525	—	10	1	no	—
748	C₂×C₂²⋊Q₈	—	10	1	no	—
749	#520	—	5	1	no	—
750	#520	C₂×D₅	1	1	yes	characteristic
751	C₂×C₄×D₄	—	5	1	no	—
752	#501	—	5	1	no	—
753	#501	—	5	1	no	—
754	#501	—	5	1	no	—
755	#501	—	5	1	no	—
756	#498	—	5	1	no	—
757	#498	—	5	1	no	—
758	#491	—	5	1	no	—
759	#491	—	5	1	no	—
760	#489	—	5	1	no	—
761	#489	—	5	1	no	—
762	#488	—	5	1	no	—
763	#488	—	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	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#481	—	5	1	no	—
775	#481	—	5	1	no	—
776	#481	—	5	1	no	—
777	#481	—	5	1	no	—
778	#481	—	5	1	no	—
779	#481	C₂×D₅	1	1	yes	characteristic, complemented
780	#480	—	5	1	no	—
781	#480	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	C₂×D₅	1	1	yes	characteristic
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	—	5	1	no	—
803	#476	—	5	1	no	—
804	#476	—	5	1	no	—
805	#476	—	5	1	no	—
806	#475	—	5	1	no	—
807	#475	—	5	1	no	—
808	#475	—	5	1	no	—
809	#475	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#469	—	5	1	no	—
813	#469	—	5	1	no	—
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#466	—	5	1	no	—
817	#466	—	5	1	no	—
818	#465	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#463	—	5	1	no	—
825	#463	—	5	1	no	—
826	#463	—	5	1	no	—
827	#463	—	5	1	no	—
828	#461	—	5	1	no	—
829	#461	—	5	1	no	—
830	#460	—	5	1	no	—
831	#460	C₂×D₅	1	1	yes	characteristic, complemented
832	#459	—	5	1	no	—
833	#459	C₂×D₅	1	1	yes	characteristic
834	#449	—	5	1	no	—
835	#449	—	5	1	no	—
836	#449	C₂×D₅	1	1	yes	characteristic
837	#449	C₂×D₅	1	1	yes	characteristic
838	#447	—	5	1	no	—
839	#447	—	5	1	no	—
840	#446	—	5	1	no	—
841	#446	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#442	—	5	1	no	—
846	#442	—	5	1	no	—
847	#442	C₂×D₅	1	1	yes	characteristic
848	#440	—	5	1	no	—
849	#440	C₂×D₅	1	1	yes	characteristic, complemented
850	C₄×SD₁₆	—	5	1	no	—
851	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
852	C₄×D₈	—	5	1	no	—
853	C₄×D₈	C₂×D₅	1	1	yes	characteristic
854	#435	—	5	1	no	—
855	#435	—	5	1	no	—
856	#435	—	5	1	no	—
857	#435	—	5	1	no	—
858	C₈×D₄	—	5	1	no	—
859	C₈×D₄	—	5	1	no	—
860	#433	—	5	1	no	—
861	#433	C₂×D₅	1	1	yes	characteristic, complemented
862	#432	—	5	1	no	—
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	C₂×#107	—	5	1	no	—
866	C₂×#106	—	5	1	no	—
867	C₂×#106	—	5	1	no	—
868	C₂×#106	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	C₂×C₄⋊C₈	—	5	1	no	—
872	#417	—	5	1	no	—
873	#417	—	5	1	no	—
874	#416	—	5	1	no	—
875	#416	—	5	1	no	—
876	C₂×#102	—	5	1	no	—
877	C₂×#102	—	5	1	no	—
878	C₂³×C₅	—	2	1	no	—
879	C₂³×C₅	—	2	1	no	—
880	C₂³×C₅	—	2	1	no	—
881	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
882	C₂²×D₅	—	2	1	no	—
883	C₂²×D₅	—	4	2	no	—
884	C₂²×D₅	—	4	2	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×D₄	—	2	1	no	—
891	C₅×D₄	—	2	1	no	—
892	C₅×D₄	—	2	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	2	1	no	—
895	C₅×D₄	—	4	2	no	—
896	C₅×D₄	—	8	1	no	—
897	C₅×D₄	—	8	1	no	—
898	C₅×D₄	—	8	1	no	—
899	C₅×D₄	—	8	1	no	—
900	C₅×D₄	2₋¹⁺⁴	1	2	yes	—
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	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	4	2	no	—
909	C₂×C₄×C₅	—	8	1	no	—
910	C₂×C₄×C₅	—	8	1	no	—
911	C₂×C₄×C₅	—	8	1	no	—
912	C₂×C₄×C₅	—	8	1	no	—
913	C₂×C₄×C₅	—	8	1	no	—
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
920	C₂²⋊D₅	—	2	2	no	—
921	C₂²⋊D₅	—	4	1	no	—
922	C₂²⋊D₅	—	4	2	no	—
923	C₂²⋊D₅	—	4	2	no	—
924	C₂²⋊D₅	—	4	2	no	—
925	C₂²⋊D₅	—	4	2	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂²⋊D₅	—	8	1	no	—
928	C₂²⋊D₅	—	8	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	4	2	no	—
937	C₂×Dic₅	—	4	2	no	—
938	C₂×Dic₅	—	8	1	no	—
939	C₂×Dic₅	—	8	1	no	—
940	C₂×Dic₅	—	8	1	no	—
941	C₂×Dic₅	—	8	1	no	—
942	C₂×Dic₅	—	8	1	no	—
943	C₂×Dic₅	—	8	1	no	—
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	D₂₀	—	2	2	no	—
951	D₂₀	—	2	1	no	—
952	D₂₀	—	2	1	no	—
953	D₂₀	—	8	1	no	—
954	C₄×D₅	—	2	2	no	—
955	C₄×D₅	—	2	1	no	—
956	C₄×D₅	—	2	1	no	—
957	C₄×D₅	—	2	1	no	—
958	C₄×D₅	—	2	1	no	—
959	C₄×D₅	—	4	1	no	—
960	C₄×D₅	—	4	2	no	—
961	C₄×D₅	—	4	2	no	—
962	C₄×D₅	—	8	1	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	Dic₁₀	—	2	1	no	—
968	Dic₁₀	—	2	1	no	—
969	Dic₁₀	—	4	1	no	—
970	Dic₁₀	—	4	2	no	—
971	Dic₁₀	—	8	1	no	—
972	Dic₁₀	—	8	1	no	—
973	Dic₁₀	—	8	1	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	C₅×C₈	—	2	1	no	—
979	C₅×C₈	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	C₂×#41	—	5	1	no	—
985	C₂×#41	—	10	1	no	—
986	C₂×#41	—	10	1	no	—
987	C₂×#41	—	10	1	no	—
988	C₂×#41	—	10	1	no	—
989	C₂×#41	C₂²×D₅	1	1	yes	characteristic
990	C₂²×Q₈	—	10	1	no	—
991	C₂²×D₄	—	5	1	no	—
992	C₂³×C₄	—	10	1	no	—
993	C₂×SD₁₆	—	5	1	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
996	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
997	C₂×D₈	—	5	1	no	—
998	C₂×D₈	—	5	1	no	—
999	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1000	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1001	C₂×M₁₆	—	5	1	no	—
1002	C₂×M₁₆	—	5	1	no	—
1003	C₂²×C₈	—	5	1	no	—
1004	C₂²×C₈	—	5	1	no	—
1005	C₂²×C₈	—	5	1	no	—
1006	C₂²×C₈	—	5	1	no	—
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	5	1	no	—
1014	C₄⋊Q₈	—	10	1	no	—
1015	C₄⋊Q₈	—	10	1	no	—
1016	#127	C₂²×D₅	1	1	yes	characteristic
1017	#126	—	5	1	no	—
1018	#126	—	5	1	no	—
1019	#126	—	10	1	no	—
1020	#126	—	10	1	no	—
1021	#126	—	10	1	no	—
1022	#126	—	10	1	no	—
1023	#126	—	10	1	no	—
1024	#126	—	10	1	no	—
1025	#126	—	10	1	no	—
1026	#126	—	10	1	no	—
1027	#125	—	5	1	no	—
1028	#125	—	5	1	no	—
1029	#125	—	5	1	no	—
1030	#125	—	5	1	no	—
1031	#125	—	5	1	no	—
1032	#125	—	5	1	no	—
1033	#125	—	10	1	no	—
1034	#125	—	10	1	no	—
1035	#125	—	10	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	C₂²×D₅	1	1	yes	characteristic
1041	#124	—	5	1	no	—
1042	#124	—	5	1	no	—
1043	#124	—	5	1	no	—
1044	#124	—	10	1	no	—
1045	#124	—	10	1	no	—
1046	#124	—	10	1	no	—
1047	#123	—	2	1	no	—
1048	#123	—	2	1	no	—
1049	#123	—	5	1	no	—
1050	#123	—	5	1	no	—
1051	#123	—	10	1	no	—
1052	#123	—	10	1	no	—
1053	#123	—	10	1	no	—
1054	#123	—	10	1	no	—
1055	#123	—	10	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	#123	—	10	1	no	—
1069	C₂²⋊Q₈	—	5	1	no	—
1070	C₂²⋊Q₈	—	5	1	no	—
1071	C₂²⋊Q₈	—	5	1	no	—
1072	C₂²⋊Q₈	—	5	1	no	—
1073	C₂²⋊Q₈	—	5	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	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	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	#121	—	2	1	no	—
1099	#121	—	2	1	no	—
1100	#121	—	5	1	no	—
1101	#121	—	5	1	no	—
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	C₂²×D₅	1	1	yes	characteristic
1118	#121	C₂²×D₅	1	1	yes	characteristic
1119	#120	—	10	1	no	—
1120	#120	—	10	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₄×D₄	—	2	1	no	—
1128	C₄×D₄	—	2	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	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	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	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1152	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1153	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1154	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1155	#117	—	2	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	5	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	C₂²×D₅	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	—	2	1	no	—
1164	C₂×C₄⋊C₄	—	5	1	no	—
1165	C₂×C₄⋊C₄	—	5	1	no	—
1166	C₂×C₄⋊C₄	—	5	1	no	—
1167	C₂×C₄⋊C₄	—	5	1	no	—
1168	C₂×C₄⋊C₄	—	5	1	no	—
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	10	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₄⋊C₄	—	10	1	no	—
1176	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1177	C₂×C₂²⋊C₄	—	10	1	no	—
1178	C₂×C₂²⋊C₄	—	10	1	no	—
1179	C₂×C₂²⋊C₄	—	10	1	no	—
1180	C₂×C₄²	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	C₂²×D₅	1	1	yes	characteristic
1188	#107	C₂²×D₅	1	1	yes	characteristic
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	—	5	1	no	—
1193	#106	—	5	1	no	—
1194	#106	—	5	1	no	—
1195	#106	—	5	1	no	—
1196	#106	—	5	1	no	—
1197	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	C₂²×D₅	1	1	yes	characteristic
1204	#106	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	C₂²×D₅	1	1	yes	characteristic
1226	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	#102	C₂²×D₅	1	1	yes	characteristic
1243	#102	C₂²×D₅	1	1	yes	characteristic
1244	#102	C₂²×D₅	1	1	yes	characteristic
1245	#102	C₂²×D₅	1	1	yes	characteristic
1246	#102	C₂²×D₅	1	1	yes	characteristic
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1252	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1253	#97	—	5	1	no	—
1254	#97	—	5	1	no	—
1255	#97	—	5	1	no	—
1256	#97	C₂²×D₅	1	1	yes	characteristic
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1259	C₂²×C₅	—	2	1	no	—
1260	C₂²×C₅	—	2	2	no	—
1261	C₂²×C₅	—	2	1	no	—
1262	C₂²×C₅	—	2	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	—	4	1	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	—	4	1	no	—
1267	C₂²×C₅	—	4	1	no	—
1268	C₂²×C₅	—	4	1	no	—
1269	C₂²×C₅	—	4	1	no	—
1270	C₂²×C₅	—	4	1	no	—
1271	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1272	C₂×D₅	—	2	1	no	—
1273	C₂×D₅	—	2	1	no	—
1274	C₂×D₅	—	2	1	no	—
1275	C₂×D₅	—	2	1	no	—
1276	C₂×D₅	—	2	1	no	—
1277	C₂×D₅	—	4	1	no	—
1278	C₂×D₅	—	4	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	8	4	no	—
1281	C₂×D₅	#577	1	2	yes	—
1282	C₄×C₅	—	2	1	no	—
1283	C₄×C₅	—	2	1	no	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1293	C₄×C₅	#585	1	1	yes	characteristic
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	2	1	no	—
1297	Dic₅	—	2	1	no	—
1298	Dic₅	—	2	1	no	—
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	C₂⁴	—	10	1	no	—
1308	#41	—	2	2	no	—
1309	#41	—	4	1	no	—
1310	#41	—	10	2	no	—
1311	#41	—	20	1	no	—
1312	#41	—	40	2	no	—
1313	#41	—	40	2	no	—
1314	#41	—	40	2	no	—
1315	#41	—	40	2	no	—
1316	C₂×Q₈	—	5	1	no	—
1317	C₂×Q₈	—	5	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	10	1	no	—
1324	C₂×Q₈	—	40	2	no	—
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	2	1	no	—
1330	C₂×D₄	—	2	1	no	—
1331	C₂×D₄	—	5	1	no	—
1332	C₂×D₄	—	5	1	no	—
1333	C₂×D₄	—	5	1	no	—
1334	C₂×D₄	—	5	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	2	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	1	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	20	1	no	—
1345	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1346	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1347	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1348	C₂²×C₄	—	2	1	no	—
1349	C₂²×C₄	—	2	1	no	—
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	2	1	no	—
1353	C₂²×C₄	—	2	1	no	—
1354	C₂²×C₄	—	5	1	no	—
1355	C₂²×C₄	—	5	1	no	—
1356	C₂²×C₄	—	5	1	no	—
1357	C₂²×C₄	—	5	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	40	2	no	—
1374	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	4	1	no	—
1377	SD₁₆	—	20	1	no	—
1378	SD₁₆	—	20	1	no	—
1379	D₈	—	2	2	no	—
1380	D₈	—	2	2	no	—
1381	D₈	—	20	1	no	—
1382	D₈	—	20	1	no	—
1383	M₁₆	—	20	1	no	—
1384	M₁₆	—	20	1	no	—
1385	C₂×C₈	—	5	1	no	—
1386	C₂×C₈	—	5	1	no	—
1387	C₂×C₈	—	5	1	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	20	1	no	—
1390	C₂×C₈	—	20	1	no	—
1391	C₂×C₈	—	20	1	no	—
1392	C₂×C₈	—	20	1	no	—
1393	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1396	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	5	1	no	—
1406	C₄⋊C₄	—	5	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	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	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1450	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1451	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	5	1	no	—
1459	C₂²⋊C₄	—	5	1	no	—
1460	C₂²⋊C₄	—	5	1	no	—
1461	C₂²⋊C₄	—	5	1	no	—
1462	C₂²⋊C₄	—	5	1	no	—
1463	C₂²⋊C₄	—	5	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	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	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1491	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	5	1	no	—
1495	C₄²	—	5	1	no	—
1496	C₄²	—	5	1	no	—
1497	C₄²	—	5	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	C₂³×D₅	1	1	yes	characteristic
1503	C₄²	C₂³×D₅	1	1	yes	characteristic
1504	C₂×C₅	—	4	2	no	—
1505	C₂×C₅	—	4	1	no	—
1506	C₂×C₅	—	8	1	no	—
1507	C₂×C₅	—	8	1	no	—
1508	C₂×C₅	#3489	1	1	yes	characteristic
1509	C₂×C₅	C₂×#577	1	1	yes	characteristic
1510	C₂×C₅	#3585	1	1	yes	characteristic
1511	D₅	—	2	2	no	—
1512	D₅	—	4	1	no	—
1513	D₅	—	8	1	no	—
1514	C₂³	—	2	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	5	1	no	—
1518	C₂³	—	5	1	no	—
1519	C₂³	—	10	1	no	—
1520	C₂³	—	20	2	no	—
1521	C₂³	—	20	2	no	—
1522	C₂³	—	40	1	no	—
1523	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	10	1	no	—
1527	Q₈	—	10	1	no	—
1528	Q₈	—	20	1	no	—
1529	Q₈	—	20	2	no	—
1530	Q₈	—	40	1	no	—
1531	Q₈	—	40	1	no	—
1532	Q₈	—	40	1	no	—
1533	Q₈	—	40	1	no	—
1534	Q₈	—	40	1	no	—
1535	D₄	—	2	1	no	—
1536	D₄	—	2	1	no	—
1537	D₄	—	2	1	no	—
1538	D₄	—	2	1	no	—
1539	D₄	—	2	1	no	—
1540	D₄	—	4	2	no	—
1541	D₄	—	8	1	no	—
1542	D₄	—	8	1	no	—
1543	D₄	—	8	1	no	—
1544	D₄	—	8	1	no	—
1545	D₄	—	10	2	no	—
1546	D₄	—	10	2	no	—
1547	D₄	—	10	1	no	—
1548	D₄	—	10	1	no	—
1549	D₄	—	20	1	no	—
1550	D₄	—	20	2	no	—
1551	D₄	—	20	2	no	—
1552	D₄	—	20	2	no	—
1553	D₄	—	20	2	no	—
1554	D₄	—	40	1	no	—
1555	D₄	—	40	1	no	—
1556	D₄	—	40	1	no	—
1557	D₄	—	40	1	no	—
1558	D₄	#4150	1	2	yes	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	4	2	no	—
1567	C₂×C₄	—	5	1	no	—
1568	C₂×C₄	—	5	1	no	—
1569	C₂×C₄	—	5	1	no	—
1570	C₂×C₄	—	5	1	no	—
1571	C₂×C₄	—	5	1	no	—
1572	C₂×C₄	—	5	1	no	—
1573	C₂×C₄	—	8	1	no	—
1574	C₂×C₄	—	8	1	no	—
1575	C₂×C₄	—	8	1	no	—
1576	C₂×C₄	—	8	1	no	—
1577	C₂×C₄	—	8	1	no	—
1578	C₂×C₄	—	10	2	no	—
1579	C₂×C₄	—	10	1	no	—
1580	C₂×C₄	—	10	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	10	1	no	—
1583	C₂×C₄	—	10	1	no	—
1584	C₂×C₄	—	10	1	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	20	1	no	—
1591	C₂×C₄	—	20	2	no	—
1592	C₂×C₄	—	20	2	no	—
1593	C₂×C₄	—	20	2	no	—
1594	C₂×C₄	—	20	2	no	—
1595	C₂×C₄	—	40	1	no	—
1596	C₂×C₄	—	40	1	no	—
1597	C₂×C₄	—	40	1	no	—
1598	C₂×C₄	—	40	1	no	—
1599	C₂×C₄	—	40	1	no	—
1600	C₂×C₄	—	40	1	no	—
1601	C₂×C₄	—	40	1	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	—	40	1	no	—
1604	C₂×C₄	—	40	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1612	C₈	—	2	1	no	—
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	10	1	no	—
1617	C₈	—	10	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₅	#62166	1	1	yes	characteristic, complemented, Sylow
1621	C₂²	—	2	1	no	—
1622	C₂²	—	2	2	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	4	1	no	—
1631	C₂²	—	4	1	no	—
1632	C₂²	—	4	1	no	—
1633	C₂²	—	5	2	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	10	1	no	—
1636	C₂²	—	10	1	no	—
1637	C₂²	—	10	1	no	—
1638	C₂²	—	10	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	20	1	no	—
1641	C₂²	—	20	1	no	—
1642	C₂²	—	40	4	no	—
1643	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1644	C₄	—	2	1	no	—
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	4	1	no	—
1650	C₄	—	4	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	10	1	no	—
1655	C₄	—	10	1	no	—
1656	C₄	—	10	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	20	1	no	—
1661	C₄	—	20	1	no	—
1662	C₄	—	20	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	C₂×#4150	1	1	yes	characteristic
1668	C₄	#66283	1	1	yes	characteristic
1669	C₂	—	4	1	no	—
1670	C₂	—	4	2	no	—
1671	C₂	—	8	1	no	—
1672	C₂	—	8	1	no	—
1673	C₂	—	10	2	no	—
1674	C₂	—	20	1	no	—
1675	C₂	—	40	1	no	—
1676	C₂	#10617943	1	1	yes	characteristic
1677	C₂	#10619105	1	1	yes	characteristic
1678	C₂	D₅×#577	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×#3119	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3119	D₅
hypocenter	C₅	#62166
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3119

Complements

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

N	H ≅ G/N	type
1. #10618395	C₂	semidirect
2. #10617808	C₂	semidirect
3. C₅×#3119	C₂	semidirect
4. #10615168	C₂	semidirect
5. #10614291	C₂	semidirect
6. #10613066	C₂	semidirect
7. #10613051	C₂	semidirect
8. #10613026	C₂	semidirect
9. #10613025	C₂	semidirect
10. #10612974	C₂	semidirect
11. #10612969	C₂	semidirect
12. #10612902	C₂	semidirect
13. D₅×#478	C₂	semidirect
14. #10612134	C₂	semidirect
15. #10612097	C₂	semidirect
16. #10612047	C₂	semidirect
17. #10612045	C₂	semidirect
18. #10611839	C₂	semidirect
19. #10611838	C₂	semidirect
20. #10611837	C₂	semidirect
21. #10611833	C₂	semidirect
22. #10611611	C₂	semidirect
23. #10611586	C₂	semidirect
24. #10611538	C₂	semidirect
25. #10611488	C₂	semidirect
26. #10611419	C₂	semidirect
27. #10611361	C₂	semidirect
28. #10611340	C₂	semidirect
29. #10611307	C₂	semidirect
30. #10611110	C₂	semidirect
31. #10611096	C₂	semidirect
32. C₅×#540	C₂²	semidirect
36. #66053	C₂²	semidirect
38. #66023	C₂²	semidirect
45. #65952	C₂²	semidirect
47. #65948	C₂²	semidirect
65. #65877	C₂²	semidirect
66. #65873	C₂²	semidirect
72. #65853	C₂²	semidirect
77. C₅×#481	C₂²	semidirect
78. C₅×#480	C₂²	semidirect
79. C₅×#479	C₂²	semidirect
81. C₅×#460	C₂²	semidirect
86. C₅×#440	C₂²	semidirect
87. C₄×C₅×SD₁₆	C₂²	semidirect
89. C₅×#433	C₂²	semidirect
92. #65463	C₂²	semidirect
95. #65460	C₂²	semidirect
98. #65451	C₂²	semidirect
99. #65451	C₂²	semidirect
108. #65364	C₂²	semidirect
111. #65352	C₂²	semidirect
112. #65331	C₂²	semidirect
113. #65330	C₂²	semidirect
116. #65311	C₂²	semidirect
117. #65311	C₂²	semidirect
118. #65309	C₂²	semidirect
119. #65309	C₂²	semidirect
126. #65297	C₂²	semidirect
127. #65296	C₂²	semidirect
128. #65288	C₂²	semidirect
129. #65253	C₂²	semidirect
130. C₂×#3940	C₂²	semidirect
134. #65170	C₂²	semidirect
136. #65166	C₂²	semidirect
137. #65165	C₂²	semidirect
138. #65165	C₂²	semidirect
143. D₅×#106	C₂²	semidirect
144. #65145	C₂²	semidirect
145. #65144	C₂²	semidirect
146. #65143	C₂²	semidirect
147. #65140	C₂²	semidirect
150. #65129	C₂²	semidirect
151. #65128	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65104	C₂²	semidirect
158. #65094	C₂²	semidirect
160. #65086	C₂²	semidirect
161. #65086	C₂²	semidirect
170. #65066	C₂²	semidirect
172. #65063	C₂²	semidirect
181. #65050	C₂²	semidirect
182. #65050	C₂²	semidirect
183. #65050	C₂²	semidirect
184. #65048	C₂²	semidirect
185. #65047	C₂²	semidirect
186. #65046	C₂²	semidirect
189. #65019	C₂²	semidirect
191. #65017	C₂²	semidirect
193. #65012	C₂²	semidirect
194. #65010	C₂²	semidirect
197. #64991	C₂²	semidirect
198. #64990	C₂²	semidirect
201. #64969	C₂²	semidirect
202. #64968	C₂²	semidirect
504. #3119	D₅	semidirect
736. #540	C₂×D₅	semidirect
779. #481	C₂×D₅	semidirect
781. #480	C₂×D₅	semidirect
787. #479	C₂×D₅	semidirect
831. #460	C₂×D₅	semidirect
849. #440	C₂×D₅	semidirect
851. C₄×SD₁₆	C₂×D₅	semidirect
861. #433	C₂×D₅	semidirect
1620. C₅	#62166	semidirect

Maximal subgroups

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

subgroup	index
#10618395	2
#10617808	2
C₅×#3119	2
#10615168	2
#10614291	2
#10613066	2
#10613051	2
#10613026	2
#10613025	2
#10612974	2
#10612969	2
#10612902	2
D₅×#478	2
#10612134	2
#10612097	2
#10612047	2
#10612045	2
#10611839	2
#10611838	2
#10611837	2
#10611833	2
#10611611	2
#10611586	2
#10611538	2
#10611488	2
#10611419	2
#10611361	2
#10611340	2
#10611307	2
#10611110	2
#10611096	2
#62166	5