Subgroups — #12992720

Order 1280.

1792 conjugacy classes of subgroups.

The subgroup lattice has 1740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618229	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617796	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3045	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615685	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615685	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615657	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615656	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615124	C₂	1	1	yes	maximal, characteristic, complemented
9	#10614306	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612347	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612340	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612321	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612307	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612285	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612270	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612253	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612237	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612129	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612120	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612111	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612099	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612082	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612062	C₂	1	1	yes	maximal, characteristic, complemented
24	#10612053	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612047	C₂	1	1	yes	maximal, characteristic, complemented
26	#10610833	C₂	1	1	yes	maximal, characteristic, complemented
27	#10610813	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610631	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610630	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610494	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610490	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₅×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
33	C₂×C₅×#135	C₂²	1	1	yes	characteristic
34	C₅×#535	C₂²	1	1	yes	characteristic
35	C₅×#520	C₂²	1	1	yes	characteristic
36	#66165	C₂²	1	1	yes	characteristic
37	#66158	C₂²	1	1	yes	characteristic
38	#66158	C₂²	1	1	yes	characteristic
39	#66158	C₂²	1	1	yes	characteristic
40	#66140	C₂²	1	1	yes	characteristic
41	#66140	C₂²	1	1	yes	characteristic
42	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4058	C₂²	1	1	yes	characteristic
44	C₂×#4058	C₂²	1	1	yes	characteristic
45	C₂×#4058	C₂²	1	1	yes	characteristic, complemented
46	#66053	C₂²	1	1	yes	characteristic
47	#66052	C₂²	1	1	yes	characteristic
48	#66050	C₂²	1	1	yes	characteristic
49	#66047	C₂²	1	1	yes	characteristic
50	#66014	C₂²	1	1	yes	characteristic
51	#66011	C₂²	1	1	yes	characteristic
52	#66009	C₂²	1	1	yes	characteristic
53	#66005	C₂²	1	1	yes	characteristic
54	#65955	—	2	1	no	—
55	#65949	—	2	1	no	—
56	#65936	—	2	1	no	—
57	#65935	—	2	1	no	—
58	#65929	—	2	1	no	—
59	#65927	—	2	1	no	—
60	#65927	—	2	1	no	—
61	#65921	—	2	1	no	—
62	#65917	C₂²	1	1	yes	characteristic, complemented
63	#65915	C₂²	1	1	yes	characteristic, complemented
64	#65912	C₂²	1	1	yes	characteristic, complemented
65	#65901	C₂²	1	1	yes	characteristic, complemented
66	#65898	—	2	1	no	—
67	#65889	C₂²	1	1	yes	characteristic, complemented
68	#65880	C₂²	1	1	yes	characteristic, complemented
69	#65875	—	2	1	no	—
70	#65874	—	2	1	no	—
71	#65873	C₂²	1	1	yes	characteristic, complemented
72	#65872	—	2	1	no	—
73	C₄×#711	C₂²	1	1	yes	characteristic, complemented
74	#65865	—	2	1	no	—
75	#65865	—	2	1	no	—
76	#65862	C₂²	1	1	yes	characteristic
77	#65852	C₂²	1	1	yes	characteristic
78	#65852	C₂²	1	1	yes	characteristic
79	#65849	—	2	1	no	—
80	#65847	C₂²	1	1	yes	characteristic
81	#65845	C₂²	1	1	yes	characteristic
82	C₂×#4035	—	2	1	no	—
83	C₅×#464	C₂²	1	1	yes	characteristic
84	C₅×#464	C₂²	1	1	yes	characteristic
85	C₅×#463	C₂²	1	1	yes	characteristic
86	C₅×#463	C₂²	1	1	yes	characteristic
87	C₅×#460	C₂²	1	1	yes	characteristic
88	C₅×#460	C₂²	1	1	yes	characteristic
89	C₅×#459	C₂²	1	1	yes	characteristic
90	C₅×#459	C₂²	1	1	yes	characteristic
91	C₅×#424	C₂²	1	1	yes	characteristic
92	C₅×#417	C₂²	1	1	yes	characteristic
93	C₂×C₅×#102	C₂²	1	1	yes	characteristic
94	#65528	C₂²	1	1	yes	characteristic
95	#65528	C₂²	1	1	yes	characteristic
96	#65528	C₂²	1	1	yes	characteristic
97	#65528	C₂²	1	1	yes	characteristic
98	#65507	C₂²	1	1	yes	characteristic
99	#65507	C₂²	1	1	yes	characteristic
100	#65477	C₂²	1	1	yes	characteristic, complemented
101	#65475	C₂²	1	1	yes	characteristic, complemented
102	#65471	C₂²	1	1	yes	characteristic, complemented
103	#65470	C₂²	1	1	yes	characteristic, complemented
104	#65463	C₂²	1	1	yes	characteristic, complemented
105	#65462	C₂²	1	1	yes	characteristic
106	#65462	C₂²	1	1	yes	characteristic
107	#65462	C₂²	1	1	yes	characteristic, complemented
108	#65462	C₂²	1	1	yes	characteristic, complemented
109	#65460	C₂²	1	1	yes	characteristic
110	#65460	C₂²	1	1	yes	characteristic
111	#65456	C₂²	1	1	yes	characteristic
112	#65456	C₂²	1	1	yes	characteristic
113	#65456	C₂²	1	1	yes	characteristic, complemented
114	#65453	C₂²	1	1	yes	characteristic, complemented
115	#65451	C₂²	1	1	yes	characteristic
116	#65451	C₂²	1	1	yes	characteristic
117	#65451	C₂²	1	1	yes	characteristic, complemented
118	#65451	C₂²	1	1	yes	characteristic, complemented
119	#65447	C₂²	1	1	yes	characteristic
120	#65447	C₂²	1	1	yes	characteristic
121	#65447	C₂²	1	1	yes	characteristic, complemented
122	#65442	C₂²	1	1	yes	characteristic
123	#65442	C₂²	1	1	yes	characteristic
124	#65442	C₂²	1	1	yes	characteristic, complemented
125	#65441	C₂²	1	1	yes	characteristic
126	#65441	C₂²	1	1	yes	characteristic
127	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
128	#65426	C₂²	1	1	yes	characteristic
129	#65426	C₂²	1	1	yes	characteristic
130	#65416	C₂²	1	1	yes	characteristic
131	#65416	C₂²	1	1	yes	characteristic
132	#65405	C₂²	1	1	yes	characteristic
133	#65405	C₂²	1	1	yes	characteristic
134	#65400	C₂²	1	1	yes	characteristic
135	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
136	#65365	C₂²	1	1	yes	characteristic
137	#65364	C₂²	1	1	yes	characteristic
138	#65364	C₂²	1	1	yes	characteristic
139	#65360	C₂²	1	1	yes	characteristic
140	#65349	C₂²	1	1	yes	characteristic
141	#65345	C₂²	1	1	yes	characteristic
142	#65343	C₂²	1	1	yes	characteristic
143	#65343	C₂²	1	1	yes	characteristic
144	#65320	C₂²	1	1	yes	characteristic, complemented
145	#65319	C₂²	1	1	yes	characteristic, complemented
146	C₄×#689	C₂²	1	1	yes	characteristic, complemented
147	#65311	C₂²	1	1	yes	characteristic, complemented
148	#65308	C₂²	1	1	yes	characteristic, complemented
149	#65307	C₂²	1	1	yes	characteristic, complemented
150	C₄×#687	C₂²	1	1	yes	characteristic, complemented
151	#65298	C₂²	1	1	yes	characteristic, complemented
152	#65289	C₂²	1	1	yes	characteristic
153	#65260	C₂²	1	1	yes	characteristic
154	#65259	C₂²	1	1	yes	characteristic
155	#65138	C₂²	1	1	yes	characteristic, complemented
156	#65138	C₂²	1	1	yes	characteristic, complemented
157	#65138	C₂²	1	1	yes	characteristic, complemented
158	#65138	C₂²	1	1	yes	characteristic, complemented
159	#65129	C₂²	1	1	yes	characteristic, complemented
160	#65128	C₂²	1	1	yes	characteristic, complemented
161	#65125	C₂²	1	1	yes	characteristic, complemented
162	#65124	C₂²	1	1	yes	characteristic, complemented
163	#65123	C₂²	1	1	yes	characteristic, complemented
164	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
165	#65120	C₂²	1	1	yes	characteristic, complemented
166	#65118	C₂²	1	1	yes	characteristic, complemented
167	#65118	C₂²	1	1	yes	characteristic, complemented
168	#65118	C₂²	1	1	yes	characteristic, complemented
169	#65118	C₂²	1	1	yes	characteristic, complemented
170	#65117	C₂²	1	1	yes	characteristic, complemented
171	#65104	C₂²	1	1	yes	characteristic, complemented
172	#65102	C₂²	1	1	yes	characteristic, complemented
173	#65097	C₂²	1	1	yes	characteristic, complemented
174	D₅×#103	C₂²	1	1	yes	characteristic, complemented
175	#65086	C₂²	1	1	yes	characteristic, complemented
176	#65082	C₂²	1	1	yes	characteristic, complemented
177	#65080	C₂²	1	1	yes	characteristic, complemented
178	#65078	C₂²	1	1	yes	characteristic, complemented
179	#65073	C₂²	1	1	yes	characteristic
180	#65072	C₂²	1	1	yes	characteristic
181	#65072	C₂²	1	1	yes	characteristic
182	#65072	C₂²	1	1	yes	characteristic, complemented
183	#65069	C₂²	1	1	yes	characteristic
184	#65067	C₂²	1	1	yes	characteristic
185	#65067	C₂²	1	1	yes	characteristic, complemented
186	#65066	C₂²	1	1	yes	characteristic, complemented
187	#65063	C₂²	1	1	yes	characteristic
188	#65061	C₂²	1	1	yes	characteristic
189	#65061	C₂²	1	1	yes	characteristic, complemented
190	#65060	C₂²	1	1	yes	characteristic
191	#65057	C₂²	1	1	yes	characteristic
192	#65056	C₂²	1	1	yes	characteristic
193	#65056	C₂²	1	1	yes	characteristic
194	#65056	C₂²	1	1	yes	characteristic, complemented
195	#65055	C₂²	1	1	yes	characteristic
196	#65054	C₂²	1	1	yes	characteristic
197	#65054	C₂²	1	1	yes	characteristic, complemented
198	#65052	C₂²	1	1	yes	characteristic, complemented
199	#65048	C₂²	1	1	yes	characteristic
200	#65047	C₂²	1	1	yes	characteristic
201	#65046	C₂²	1	1	yes	characteristic
202	#65046	C₂²	1	1	yes	characteristic, complemented
203	#62012	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂²×C₅×D₄	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×#711	C₂³	1	1	yes	characteristic
212	C₂×#711	C₂³	1	1	yes	characteristic
213	C₅×AGL(1,ℤ/8)	—	4	2	no	—
214	C₅×#135	—	4	2	no	—
215	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
220	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
221	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
222	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
223	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
224	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
225	C₅×#127	C₂³	1	1	yes	characteristic
226	C₅×#127	C₂³	1	1	yes	characteristic
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#121	—	2	1	no	—
230	C₅×#121	—	2	1	no	—
231	C₅×#120	—	2	1	no	—
232	C₅×#120	—	2	1	no	—
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	—	2	1	no	—
236	C₄×C₅×D₄	—	2	1	no	—
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₅×#117	—	2	1	no	—
240	C₅×#117	C₂³	1	1	yes	characteristic
241	C₂×C₅×C₄⋊C₄	—	2	1	no	—
242	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	#4099	—	2	1	no	—
244	#4099	—	2	1	no	—
245	C₂×C₂²⋊Dic₅	—	2	1	no	—
246	C₂×C₂²⋊Dic₅	—	2	1	no	—
247	#4092	C₂³	1	1	yes	characteristic
248	#4092	C₂³	1	1	yes	characteristic
249	#4092	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	#4090	C₂³	1	1	yes	characteristic
252	#4090	C₂³	1	1	yes	characteristic
253	#4090	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	#4086	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4085	—	2	1	no	—
261	#4085	—	2	1	no	—
262	#4085	—	2	1	no	—
263	#4085	—	2	1	no	—
264	#4085	—	2	1	no	—
265	#4085	—	2	1	no	—
266	#4085	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4084	—	2	1	no	—
269	#4084	—	2	1	no	—
270	#4084	—	2	1	no	—
271	#4084	C₂³	1	1	yes	characteristic
272	#4084	C₂³	1	1	yes	characteristic
273	#4084	C₂³	1	1	yes	characteristic
274	#4082	—	2	1	no	—
275	#4082	—	2	1	no	—
276	#4082	C₂³	1	1	yes	characteristic
277	#4082	C₂³	1	1	yes	characteristic
278	#4082	C₂³	1	1	yes	characteristic
279	#4081	—	2	1	no	—
280	#4081	—	2	1	no	—
281	#4081	—	2	1	no	—
282	#4081	—	2	1	no	—
283	#4081	—	2	1	no	—
284	#4081	—	2	1	no	—
285	#4081	—	2	1	no	—
286	#4081	—	2	1	no	—
287	#4081	—	2	1	no	—
288	D₄×Dic₅	—	2	1	no	—
289	D₄×Dic₅	—	2	1	no	—
290	D₄×Dic₅	—	2	1	no	—
291	D₄×Dic₅	—	2	1	no	—
292	D₄×Dic₅	C₂³	1	1	yes	characteristic
293	D₄×Dic₅	C₂³	1	1	yes	characteristic
294	D₄×Dic₅	C₂³	1	1	yes	characteristic
295	D₄×Dic₅	C₂³	1	1	yes	characteristic
296	D₄×Dic₅	C₂³	1	1	yes	characteristic
297	C₂×#687	C₂³	1	1	yes	characteristic
298	C₂×#687	C₂³	1	1	yes	characteristic
299	C₂×#687	C₂³	1	1	yes	characteristic
300	C₂×#687	C₂³	1	1	yes	characteristic
301	C₂×#687	C₂³	1	1	yes	characteristic
302	C₂×#687	C₂³	1	1	yes	characteristic
303	C₂×#687	C₂³	1	1	yes	characteristic
304	C₂×#687	C₂³	1	1	yes	characteristic
305	#4076	—	2	1	no	—
306	#4075	—	2	1	no	—
307	#4075	—	2	1	no	—
308	#4075	—	2	1	no	—
309	#4075	—	2	1	no	—
310	C₄×C₂²⋊D₅	—	2	1	no	—
311	C₄×C₂²⋊D₅	—	2	1	no	—
312	C₄×C₂²⋊D₅	—	2	1	no	—
313	C₄×C₂²⋊D₅	—	2	1	no	—
314	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
315	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
316	#4072	—	2	1	no	—
317	C₂×C₄⋊Dic₅	—	2	1	no	—
318	#4070	—	2	1	no	—
319	#4070	—	2	1	no	—
320	#4070	—	2	1	no	—
321	#4070	C₂³	1	1	yes	characteristic
322	#4070	C₂³	1	1	yes	characteristic
323	#4070	C₂³	1	1	yes	characteristic
324	#4070	C₂³	1	1	yes	characteristic
325	C₂×#683	—	2	1	no	—
326	C₂×#683	—	2	1	no	—
327	C₂×#683	—	2	1	no	—
328	C₂×#683	—	2	1	no	—
329	C₂×#683	—	2	1	no	—
330	C₂×C₄×Dic₅	—	2	1	no	—
331	#4061	—	4	2	no	—
332	#4058	—	4	2	no	—
333	#4058	—	4	2	no	—
334	#4058	—	4	2	no	—
335	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
336	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
337	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
338	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
339	C₂×#676	C₂³	1	1	yes	characteristic
340	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
341	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
343	#4044	—	2	1	no	—
344	#4044	—	2	1	no	—
345	#4044	D₄	1	1	yes	characteristic
346	#4043	C₂³	1	1	yes	characteristic
347	#4043	C₂³	1	1	yes	characteristic
348	#4042	—	2	1	no	—
349	#4042	—	2	1	no	—
350	#4042	D₄	1	1	yes	characteristic
351	#4040	—	2	1	no	—
352	#4040	D₄	1	1	yes	characteristic
353	#4038	C₂³	1	1	yes	characteristic
354	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
355	#4036	C₂³	1	1	yes	characteristic
356	#4035	—	2	1	no	—
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4035	—	2	1	no	—
364	#4035	—	2	1	no	—
365	#4035	—	2	1	no	—
366	#4035	—	2	1	no	—
367	#4035	D₄	1	1	yes	characteristic
368	#4034	C₂³	1	1	yes	characteristic
369	#4033	C₂³	1	1	yes	characteristic
370	#4033	C₂³	1	1	yes	characteristic
371	#4032	—	2	1	no	—
372	#4032	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4031	D₄	1	1	yes	characteristic
375	#4030	—	2	1	no	—
376	#4030	D₄	1	1	yes	characteristic
377	#4029	—	2	1	no	—
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	D₄	1	1	yes	characteristic
381	#4027	—	2	1	no	—
382	#4027	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	—	2	1	no	—
389	#4025	—	2	1	no	—
390	#4025	—	2	1	no	—
391	#4025	—	2	1	no	—
392	#4025	D₄	1	1	yes	characteristic
393	#4024	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4023	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4022	—	2	1	no	—
405	C₄×D₂₀	C₂³	1	1	yes	characteristic
406	#4018	—	2	1	no	—
407	#4018	—	2	1	no	—
408	#4018	C₂³	1	1	yes	characteristic
409	C₄²×D₅	C₂³	1	1	yes	characteristic
410	#4016	—	2	1	no	—
411	#4016	—	2	1	no	—
412	#4016	C₂³	1	1	yes	characteristic
413	#4016	C₂³	1	1	yes	characteristic
414	#4015	C₂³	1	1	yes	characteristic
415	#4015	C₂³	1	1	yes	characteristic
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
425	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
426	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#102	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×#102	C₂³	1	1	yes	characteristic
435	#3967	C₂³	1	1	yes	characteristic
436	#3967	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3964	C₂³	1	1	yes	characteristic
440	#3964	C₂³	1	1	yes	characteristic
441	#3964	C₂³	1	1	yes	characteristic
442	#3964	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3952	C₂³	1	1	yes	characteristic
452	#3952	C₂³	1	1	yes	characteristic
453	#3950	C₂³	1	1	yes	characteristic
454	#3950	C₂³	1	1	yes	characteristic
455	#3949	C₂³	1	1	yes	characteristic
456	#3949	C₂³	1	1	yes	characteristic
457	#3948	C₂³	1	1	yes	characteristic
458	#3948	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3948	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3947	C₂³	1	1	yes	characteristic
466	#3947	C₂³	1	1	yes	characteristic
467	#3947	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	#3946	C₂³	1	1	yes	characteristic
471	#3946	C₂³	1	1	yes	characteristic
472	C₈×Dic₅	C₂³	1	1	yes	characteristic
473	#3942	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3940	C₂³	1	1	yes	characteristic
478	#3940	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	C₄⋊#168	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	#3935	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3562	—	5	1	no	—
486	#3515	—	5	1	no	—
487	#3400	—	5	1	no	—
488	#3398	—	5	1	no	—
489	#3376	—	5	1	no	—
490	#3370	—	5	1	no	—
491	#3317	—	5	1	no	—
492	#3316	—	5	1	no	—
493	#3315	—	5	1	no	—
494	#3314	—	5	1	no	—
495	#3300	—	5	1	no	—
496	#3296	—	5	1	no	—
497	#3284	—	5	1	no	—
498	#3283	—	5	1	no	—
499	#3269	—	5	1	no	—
500	#3269	—	5	1	no	—
501	#3267	—	5	1	no	—
502	#3267	—	5	1	no	—
503	#3261	—	5	1	no	—
504	#3260	—	5	1	no	—
505	#3248	—	5	1	no	—
506	#3223	—	5	1	no	—
507	#3222	—	5	1	no	—
508	#3216	—	5	1	no	—
509	#3120	—	5	1	no	—
510	#3119	—	5	1	no	—
511	#3111	—	5	1	no	—
512	#3046	—	5	1	no	—
513	#3045	D₅	1	1	yes	characteristic, complemented
514	#3035	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂⁴×C₅	—	2	1	no	—
517	C₅×#41	—	2	2	no	—
518	C₅×#41	—	4	1	no	—
519	C₅×#41	—	4	1	no	—
520	C₅×#41	—	4	1	no	—
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×D₄	—	2	1	no	—
524	C₂×C₅×D₄	—	2	1	no	—
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	—	2	1	no	—
528	C₂×C₅×D₄	—	2	1	no	—
529	C₂×C₅×D₄	—	2	1	no	—
530	C₂×C₅×D₄	—	4	1	no	—
531	C₂×C₅×D₄	—	4	1	no	—
532	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
536	C₂²×C₄×C₅	—	2	1	no	—
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
542	C₂×C₂²⋊D₅	—	2	1	no	—
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
552	C₂²×Dic₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	Q₈×D₅	—	4	1	no	—
563	Q₈×D₅	—	4	1	no	—
564	#711	—	2	2	no	—
565	#711	—	2	2	no	—
566	#711	—	4	1	no	—
567	#711	—	4	1	no	—
568	#711	—	4	1	no	—
569	#711	—	4	1	no	—
570	#711	—	4	1	no	—
571	#711	—	4	1	no	—
572	#711	—	4	1	no	—
573	#711	—	4	1	no	—
574	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
581	C₂×Dic₁₀	—	2	1	no	—
582	C₂×Dic₁₀	—	2	1	no	—
583	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
584	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
587	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
588	C₅×Q₁₆	—	4	1	no	—
589	C₅×SD₁₆	—	2	2	no	—
590	C₅×SD₁₆	—	4	1	no	—
591	C₅×SD₁₆	—	4	1	no	—
592	C₅×SD₁₆	—	4	1	no	—
593	C₅×D₈	—	2	2	no	—
594	C₅×D₈	—	2	2	no	—
595	C₅×D₈	—	2	2	no	—
596	C₅×M₁₆	—	4	1	no	—
597	C₂×C₅×C₈	—	4	1	no	—
598	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
599	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
600	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
601	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	—	2	1	no	—
603	C₅×C₄⋊C₄	—	2	1	no	—
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	—	2	1	no	—
614	C₅×C₂²⋊C₄	—	2	1	no	—
615	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
616	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	—	2	1	no	—
619	C₄²×C₅	C₂⁴	1	1	yes	characteristic
620	C₄²×C₅	C₂⁴	1	1	yes	characteristic
621	C₂²⋊Dic₅	—	2	1	no	—
622	C₂²⋊Dic₅	—	2	1	no	—
623	C₂²⋊Dic₅	—	2	1	no	—
624	C₂²⋊Dic₅	—	2	1	no	—
625	C₂²⋊Dic₅	—	2	1	no	—
626	C₂²⋊Dic₅	—	2	1	no	—
627	C₂²⋊Dic₅	—	2	1	no	—
628	C₂²⋊Dic₅	—	2	1	no	—
629	C₂²⋊Dic₅	—	2	1	no	—
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	—	2	1	no	—
632	C₂²⋊Dic₅	—	2	1	no	—
633	C₂²⋊Dic₅	—	2	1	no	—
634	C₂²⋊Dic₅	—	2	1	no	—
635	C₂²⋊Dic₅	—	2	1	no	—
636	C₂²⋊Dic₅	—	2	1	no	—
637	C₂²⋊Dic₅	—	2	1	no	—
638	C₂²⋊Dic₅	—	2	1	no	—
639	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	#689	—	4	1	no	—
642	#689	—	4	1	no	—
643	#689	—	4	1	no	—
644	#689	—	4	1	no	—
645	#687	—	2	2	no	—
646	#687	—	2	2	no	—
647	#687	—	4	1	no	—
648	#687	—	4	1	no	—
649	#687	—	4	1	no	—
650	#687	—	4	1	no	—
651	#687	—	4	1	no	—
652	#687	—	4	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	C₂×D₄	1	1	yes	characteristic
660	#685	C₂×D₄	1	1	yes	characteristic
661	#685	C₂×D₄	1	1	yes	characteristic
662	#685	C₂×D₄	1	1	yes	characteristic
663	#685	C₂×D₄	1	1	yes	characteristic
664	#685	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	—	2	1	no	—
669	C₄⋊Dic₅	—	2	1	no	—
670	C₄⋊Dic₅	—	2	1	no	—
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
674	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
675	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
676	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
677	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
678	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	—	2	1	no	—
702	#683	—	2	1	no	—
703	#683	—	2	1	no	—
704	#683	—	2	1	no	—
705	#683	C₂×D₄	1	1	yes	characteristic
706	#683	C₂×D₄	1	1	yes	characteristic
707	#683	C₂×D₄	1	1	yes	characteristic
708	#683	C₂×D₄	1	1	yes	characteristic
709	#683	C₂×D₄	1	1	yes	characteristic
710	#683	C₂×D₄	1	1	yes	characteristic
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	Dic₂₀	—	4	1	no	—
728	Dic₂₀	—	4	1	no	—
729	Dic₂₀	—	4	1	no	—
730	Dic₂₀	—	4	1	no	—
731	#676	—	4	1	no	—
732	C₈×D₅	—	4	1	no	—
733	C₈×D₅	—	4	1	no	—
734	C₈×D₅	—	4	1	no	—
735	C₂×#137	—	5	1	no	—
736	C₂×AGL(1,ℤ/8)	C₂×D₅	1	1	yes	characteristic
737	C₂×#135	—	5	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂×#135	—	5	1	no	—
740	C₂×#135	C₂×D₅	1	1	yes	characteristic
741	#562	—	10	1	no	—
742	#560	—	10	1	no	—
743	#559	—	5	1	no	—
744	#557	—	5	1	no	—
745	#556	—	5	1	no	—
746	#554	—	5	1	no	—
747	#554	—	5	1	no	—
748	#553	—	10	1	no	—
749	#553	—	10	1	no	—
750	#552	—	5	1	no	—
751	#552	—	5	1	no	—
752	#552	—	10	1	no	—
753	#552	—	10	1	no	—
754	#552	—	10	1	no	—
755	#551	—	10	1	no	—
756	#550	—	5	1	no	—
757	#548	—	5	1	no	—
758	#548	—	5	1	no	—
759	#547	—	5	1	no	—
760	#547	—	5	1	no	—
761	#547	—	5	1	no	—
762	#547	—	5	1	no	—
763	#546	—	5	1	no	—
764	#546	—	5	1	no	—
765	#541	—	5	1	no	—
766	#541	—	5	1	no	—
767	#541	—	5	1	no	—
768	#540	—	5	1	no	—
769	#540	—	10	1	no	—
770	#539	—	10	1	no	—
771	#539	—	10	1	no	—
772	#539	—	10	1	no	—
773	#538	—	10	1	no	—
774	#538	—	10	1	no	—
775	#536	—	5	1	no	—
776	#535	C₂×D₅	1	1	yes	characteristic
777	#533	—	5	1	no	—
778	#532	—	5	1	no	—
779	#529	—	5	1	no	—
780	#529	—	5	1	no	—
781	#529	—	10	1	no	—
782	C₂×#125	—	10	1	no	—
783	#520	—	5	1	no	—
784	#520	C₂×D₅	1	1	yes	characteristic
785	C₄×#41	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	—	5	1	no	—
788	#497	—	5	1	no	—
789	#497	—	5	1	no	—
790	#494	—	5	1	no	—
791	#492	—	5	1	no	—
792	#491	—	5	1	no	—
793	#490	—	5	1	no	—
794	#489	—	5	1	no	—
795	#489	—	5	1	no	—
796	#488	—	5	1	no	—
797	#488	—	5	1	no	—
798	#485	—	5	1	no	—
799	#484	—	5	1	no	—
800	#483	—	5	1	no	—
801	#482	—	5	1	no	—
802	#481	—	5	1	no	—
803	#480	—	5	1	no	—
804	#479	—	5	1	no	—
805	#479	—	5	1	no	—
806	#479	—	5	1	no	—
807	#479	—	5	1	no	—
808	#479	—	5	1	no	—
809	#478	—	5	1	no	—
810	#478	—	5	1	no	—
811	#478	—	5	1	no	—
812	#475	—	5	1	no	—
813	#474	—	5	1	no	—
814	#470	—	5	1	no	—
815	#470	—	5	1	no	—
816	#468	—	5	1	no	—
817	#468	—	5	1	no	—
818	#467	—	5	1	no	—
819	#467	—	5	1	no	—
820	#467	—	5	1	no	—
821	#467	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	—	5	1	no	—
826	#464	—	5	1	no	—
827	#464	—	5	1	no	—
828	#464	—	5	1	no	—
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	C₂×D₅	1	1	yes	characteristic
832	#464	C₂×D₅	1	1	yes	characteristic
833	#463	—	5	1	no	—
834	#463	—	5	1	no	—
835	#463	—	5	1	no	—
836	#463	C₂×D₅	1	1	yes	characteristic
837	#463	C₂×D₅	1	1	yes	characteristic
838	#462	—	5	1	no	—
839	#462	—	5	1	no	—
840	#462	—	5	1	no	—
841	#462	—	5	1	no	—
842	#462	—	5	1	no	—
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#461	—	5	1	no	—
846	#461	—	5	1	no	—
847	#461	—	5	1	no	—
848	#461	—	5	1	no	—
849	#461	—	5	1	no	—
850	#460	—	5	1	no	—
851	#460	—	5	1	no	—
852	#460	C₂×D₅	1	1	yes	characteristic
853	#460	C₂×D₅	1	1	yes	characteristic
854	#459	C₂×D₅	1	1	yes	characteristic
855	#459	C₂×D₅	1	1	yes	characteristic
856	#452	—	5	1	no	—
857	#452	—	5	1	no	—
858	#452	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	—	5	1	no	—
867	#451	—	5	1	no	—
868	#451	—	5	1	no	—
869	#450	—	5	1	no	—
870	#450	—	5	1	no	—
871	#449	—	5	1	no	—
872	#449	—	5	1	no	—
873	#449	—	5	1	no	—
874	#446	—	5	1	no	—
875	#446	—	5	1	no	—
876	#442	—	5	1	no	—
877	#442	—	5	1	no	—
878	#441	—	5	1	no	—
879	#441	—	5	1	no	—
880	#440	—	5	1	no	—
881	#440	—	5	1	no	—
882	#440	—	5	1	no	—
883	#440	—	5	1	no	—
884	C₄×Q₁₆	—	5	1	no	—
885	C₄×SD₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×D₈	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	—	5	1	no	—
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#433	—	5	1	no	—
895	#433	—	5	1	no	—
896	#432	—	5	1	no	—
897	#424	—	5	1	no	—
898	#424	C₂×D₅	1	1	yes	characteristic
899	C₂×C₄⋊C₈	—	5	1	no	—
900	#417	—	5	1	no	—
901	#417	C₂×D₅	1	1	yes	characteristic
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	C₂×#103	—	5	1	no	—
905	C₂×#102	C₂×D₅	1	1	yes	characteristic
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	—	2	1	no	—
909	C₂³×C₅	—	2	1	no	—
910	C₂³×C₅	—	8	1	no	—
911	C₂³×C₅	—	8	1	no	—
912	C₂³×C₅	—	8	1	no	—
913	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
915	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
916	C₅×Q₈	—	2	1	no	—
917	C₅×Q₈	—	2	1	no	—
918	C₅×Q₈	—	2	1	no	—
919	C₅×Q₈	—	2	1	no	—
920	C₅×D₄	—	2	1	no	—
921	C₅×D₄	—	2	1	no	—
922	C₅×D₄	—	2	1	no	—
923	C₅×D₄	—	2	1	no	—
924	C₅×D₄	—	2	1	no	—
925	C₅×D₄	—	2	1	no	—
926	C₅×D₄	—	2	1	no	—
927	C₅×D₄	—	4	2	no	—
928	C₅×D₄	—	8	1	no	—
929	C₅×D₄	—	8	1	no	—
930	C₅×D₄	—	8	1	no	—
931	C₅×D₄	—	8	1	no	—
932	C₅×D₄	—	8	1	no	—
933	C₅×D₄	—	8	1	no	—
934	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	4	2	no	—
942	C₂×C₄×C₅	—	8	1	no	—
943	C₂×C₄×C₅	—	8	1	no	—
944	C₂×C₄×C₅	—	8	1	no	—
945	C₂×C₄×C₅	—	8	1	no	—
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
952	C₂²⋊D₅	—	4	1	no	—
953	C₂²⋊D₅	—	4	1	no	—
954	C₂²⋊D₅	—	4	2	no	—
955	C₂²⋊D₅	—	4	2	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂²⋊D₅	—	8	1	no	—
958	C₂²⋊D₅	—	8	1	no	—
959	C₂²⋊D₅	—	8	1	no	—
960	C₂²⋊D₅	—	8	1	no	—
961	C₂²⋊D₅	—	8	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	1	no	—
964	C₂×Dic₅	—	2	1	no	—
965	C₂×Dic₅	—	2	1	no	—
966	C₂×Dic₅	—	2	1	no	—
967	C₂×Dic₅	—	2	1	no	—
968	C₂×Dic₅	—	2	1	no	—
969	C₂×Dic₅	—	2	1	no	—
970	C₂×Dic₅	—	4	2	no	—
971	C₂×Dic₅	—	4	2	no	—
972	C₂×Dic₅	—	4	2	no	—
973	C₂×Dic₅	—	8	1	no	—
974	C₂×Dic₅	—	8	1	no	—
975	C₂×Dic₅	—	8	1	no	—
976	C₂×Dic₅	—	8	1	no	—
977	C₂×Dic₅	—	8	1	no	—
978	C₂×Dic₅	—	8	1	no	—
979	C₂×Dic₅	—	8	1	no	—
980	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
983	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
984	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
985	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
986	D₂₀	—	4	1	no	—
987	C₄×D₅	—	2	1	no	—
988	C₄×D₅	—	2	1	no	—
989	C₄×D₅	—	2	1	no	—
990	C₄×D₅	—	2	1	no	—
991	C₄×D₅	—	4	1	no	—
992	C₄×D₅	—	4	1	no	—
993	C₄×D₅	—	8	1	no	—
994	C₄×D₅	—	8	1	no	—
995	Dic₁₀	—	2	1	no	—
996	Dic₁₀	—	2	1	no	—
997	Dic₁₀	—	2	1	no	—
998	Dic₁₀	—	2	1	no	—
999	Dic₁₀	—	2	1	no	—
1000	Dic₁₀	—	2	1	no	—
1001	Dic₁₀	—	2	1	no	—
1002	Dic₁₀	—	2	1	no	—
1003	Dic₁₀	—	4	1	no	—
1004	Dic₁₀	—	8	1	no	—
1005	Dic₁₀	—	8	1	no	—
1006	C₅×C₈	—	2	1	no	—
1007	C₅×C₈	—	2	1	no	—
1008	C₅×C₈	—	2	1	no	—
1009	C₅×C₈	—	2	1	no	—
1010	#168	—	2	1	no	—
1011	#168	—	2	1	no	—
1012	#168	—	2	1	no	—
1013	#168	—	2	1	no	—
1014	C₂×#41	—	5	1	no	—
1015	C₂×#41	—	5	1	no	—
1016	C₂×#41	—	5	1	no	—
1017	C₂×#41	—	5	1	no	—
1018	C₂×#41	—	5	1	no	—
1019	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1020	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1021	C₂²×Q₈	—	5	1	no	—
1022	C₂²×D₄	C₂²×D₅	1	1	yes	characteristic
1023	#137	—	20	2	no	—
1024	AGL(1,ℤ/8)	—	4	2	no	—
1025	#135	—	4	2	no	—
1026	#135	—	20	2	no	—
1027	#135	—	20	2	no	—
1028	#135	—	20	2	no	—
1029	C₂×Q₁₆	—	5	1	no	—
1030	C₂×Q₁₆	—	5	1	no	—
1031	C₂×Q₁₆	—	5	1	no	—
1032	C₂×Q₁₆	—	5	1	no	—
1033	C₂×Q₁₆	—	5	1	no	—
1034	C₂×Q₁₆	—	5	1	no	—
1035	C₂×Q₁₆	—	5	1	no	—
1036	C₂×Q₁₆	—	5	1	no	—
1037	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1038	C₂×SD₁₆	—	5	1	no	—
1039	C₂×SD₁₆	—	5	1	no	—
1040	C₂×SD₁₆	—	5	1	no	—
1041	C₂×SD₁₆	—	5	1	no	—
1042	C₂×SD₁₆	—	5	1	no	—
1043	C₂×SD₁₆	—	5	1	no	—
1044	C₂×SD₁₆	—	5	1	no	—
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1047	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1048	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1049	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1050	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1051	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1052	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1053	C₂×M₁₆	—	5	1	no	—
1054	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1055	C₂²×C₈	—	5	1	no	—
1056	C₂²×C₈	—	5	1	no	—
1057	C₂²×C₈	—	5	1	no	—
1058	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1059	C₄⋊Q₈	—	5	1	no	—
1060	C₄⋊Q₈	—	5	1	no	—
1061	C₄⋊Q₈	—	5	1	no	—
1062	C₄⋊Q₈	—	5	1	no	—
1063	C₄⋊Q₈	—	5	1	no	—
1064	C₄⋊Q₈	—	5	1	no	—
1065	#127	—	10	1	no	—
1066	#127	C₂²×D₅	1	1	yes	characteristic
1067	#127	C₂²×D₅	1	1	yes	characteristic
1068	#126	—	5	1	no	—
1069	#126	—	5	1	no	—
1070	#126	—	10	1	no	—
1071	#126	—	10	1	no	—
1072	#126	—	10	1	no	—
1073	#126	—	10	1	no	—
1074	#126	—	10	1	no	—
1075	#126	—	10	1	no	—
1076	#126	—	10	1	no	—
1077	#126	—	10	1	no	—
1078	#126	—	10	1	no	—
1079	#126	—	10	1	no	—
1080	#126	—	10	1	no	—
1081	#125	—	5	1	no	—
1082	#125	—	5	1	no	—
1083	#125	—	5	1	no	—
1084	#125	—	5	1	no	—
1085	#125	—	10	1	no	—
1086	#125	—	10	1	no	—
1087	#125	—	10	1	no	—
1088	#125	—	10	1	no	—
1089	#125	—	10	1	no	—
1090	#125	—	10	1	no	—
1091	#125	—	10	1	no	—
1092	#125	—	10	1	no	—
1093	#125	—	10	1	no	—
1094	#125	—	10	1	no	—
1095	#125	—	10	1	no	—
1096	#125	—	10	1	no	—
1097	#125	—	10	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	5	1	no	—
1101	#124	—	5	1	no	—
1102	#124	—	10	1	no	—
1103	#124	—	10	1	no	—
1104	#124	—	10	1	no	—
1105	#124	C₂²×D₅	1	1	yes	characteristic
1106	#124	C₂²×D₅	1	1	yes	characteristic
1107	#123	—	5	1	no	—
1108	#123	—	5	1	no	—
1109	#123	—	10	1	no	—
1110	#123	—	10	1	no	—
1111	#123	—	10	1	no	—
1112	#123	—	10	1	no	—
1113	#123	—	10	1	no	—
1114	#123	—	10	1	no	—
1115	#123	—	10	1	no	—
1116	#123	—	10	1	no	—
1117	#123	—	10	1	no	—
1118	#123	—	10	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	#123	—	10	1	no	—
1122	#123	—	10	1	no	—
1123	#123	—	10	1	no	—
1124	#123	—	10	1	no	—
1125	#123	—	10	1	no	—
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	C₂²⋊Q₈	—	5	1	no	—
1129	C₂²⋊Q₈	—	5	1	no	—
1130	C₂²⋊Q₈	—	5	1	no	—
1131	C₂²⋊Q₈	—	5	1	no	—
1132	C₂²⋊Q₈	—	5	1	no	—
1133	C₂²⋊Q₈	—	5	1	no	—
1134	C₂²⋊Q₈	—	5	1	no	—
1135	C₂²⋊Q₈	—	5	1	no	—
1136	C₂²⋊Q₈	—	5	1	no	—
1137	C₂²⋊Q₈	—	5	1	no	—
1138	C₂²⋊Q₈	—	10	1	no	—
1139	C₂²⋊Q₈	—	10	1	no	—
1140	C₂²⋊Q₈	—	10	1	no	—
1141	C₂²⋊Q₈	—	10	1	no	—
1142	C₂²⋊Q₈	—	10	1	no	—
1143	C₂²⋊Q₈	—	10	1	no	—
1144	C₂²⋊Q₈	—	10	1	no	—
1145	C₂²⋊Q₈	—	10	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	#121	—	2	1	no	—
1150	#121	—	2	1	no	—
1151	#121	—	5	1	no	—
1152	#121	—	5	1	no	—
1153	#121	—	5	1	no	—
1154	#121	—	5	1	no	—
1155	#121	—	10	1	no	—
1156	#121	—	10	1	no	—
1157	#121	—	10	1	no	—
1158	#121	—	10	1	no	—
1159	#121	—	10	1	no	—
1160	#121	—	10	1	no	—
1161	#121	—	10	1	no	—
1162	#121	—	10	1	no	—
1163	#121	—	10	1	no	—
1164	#121	—	10	1	no	—
1165	#121	—	10	1	no	—
1166	#121	—	10	1	no	—
1167	#121	—	10	1	no	—
1168	#121	—	10	1	no	—
1169	#120	—	2	1	no	—
1170	#120	—	2	1	no	—
1171	#120	—	10	1	no	—
1172	#120	—	10	1	no	—
1173	C₄×Q₈	—	5	1	no	—
1174	C₄×Q₈	—	5	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	5	1	no	—
1177	C₄×Q₈	—	5	1	no	—
1178	C₄×Q₈	—	5	1	no	—
1179	C₄×Q₈	—	5	1	no	—
1180	C₄×Q₈	—	5	1	no	—
1181	C₄×Q₈	—	10	1	no	—
1182	C₄×Q₈	—	10	1	no	—
1183	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1184	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1185	C₄×D₄	—	2	1	no	—
1186	C₄×D₄	—	2	1	no	—
1187	C₄×D₄	—	5	1	no	—
1188	C₄×D₄	—	5	1	no	—
1189	C₄×D₄	—	5	1	no	—
1190	C₄×D₄	—	5	1	no	—
1191	C₄×D₄	—	5	1	no	—
1192	C₄×D₄	—	5	1	no	—
1193	C₄×D₄	—	5	1	no	—
1194	C₄×D₄	—	5	1	no	—
1195	C₄×D₄	—	10	1	no	—
1196	C₄×D₄	—	10	1	no	—
1197	C₄×D₄	—	10	1	no	—
1198	C₄×D₄	—	10	1	no	—
1199	C₄×D₄	—	10	1	no	—
1200	C₄×D₄	—	10	1	no	—
1201	C₄×D₄	—	10	1	no	—
1202	C₄×D₄	—	10	1	no	—
1203	C₄×D₄	—	10	1	no	—
1204	C₄×D₄	—	10	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	—	10	1	no	—
1207	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1208	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1209	#117	—	2	1	no	—
1210	#117	—	5	1	no	—
1211	#117	—	5	1	no	—
1212	#117	—	10	1	no	—
1213	#117	—	10	1	no	—
1214	#117	—	10	1	no	—
1215	#117	—	10	1	no	—
1216	#117	—	10	1	no	—
1217	#117	—	10	1	no	—
1218	#117	—	10	1	no	—
1219	#117	C₂²×D₅	1	1	yes	characteristic
1220	C₂×C₄⋊C₄	—	2	1	no	—
1221	C₂×C₄⋊C₄	—	5	1	no	—
1222	C₂×C₄⋊C₄	—	10	1	no	—
1223	C₂×C₄⋊C₄	—	10	1	no	—
1224	C₂×C₄⋊C₄	—	10	1	no	—
1225	C₂×C₄⋊C₄	—	10	1	no	—
1226	C₂×C₄⋊C₄	—	10	1	no	—
1227	C₂×C₄⋊C₄	—	10	1	no	—
1228	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1229	C₂×C₂²⋊C₄	—	10	1	no	—
1230	C₂×C₂²⋊C₄	—	10	1	no	—
1231	C₂×C₄²	—	5	1	no	—
1232	C₂×C₄²	—	10	1	no	—
1233	#107	—	5	1	no	—
1234	#107	—	5	1	no	—
1235	#107	—	5	1	no	—
1236	#107	—	5	1	no	—
1237	#106	—	5	1	no	—
1238	#106	—	5	1	no	—
1239	#106	—	5	1	no	—
1240	#106	—	5	1	no	—
1241	C₄⋊C₈	—	5	1	no	—
1242	C₄⋊C₈	—	5	1	no	—
1243	C₄⋊C₈	—	5	1	no	—
1244	C₄⋊C₈	—	5	1	no	—
1245	C₄⋊C₈	—	5	1	no	—
1246	C₄⋊C₈	—	5	1	no	—
1247	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1248	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1249	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1250	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1251	#103	—	5	1	no	—
1252	#103	—	5	1	no	—
1253	#103	—	5	1	no	—
1254	#103	—	5	1	no	—
1255	#103	—	5	1	no	—
1256	#103	—	5	1	no	—
1257	#103	—	5	1	no	—
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	C₂²×D₅	1	1	yes	characteristic
1268	#103	C₂²×D₅	1	1	yes	characteristic
1269	#102	—	5	1	no	—
1270	#102	—	5	1	no	—
1271	#102	—	5	1	no	—
1272	#102	—	5	1	no	—
1273	#102	—	5	1	no	—
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	—	5	1	no	—
1277	#102	C₂²×D₅	1	1	yes	characteristic
1278	#102	C₂²×D₅	1	1	yes	characteristic
1279	#102	C₂²×D₅	1	1	yes	characteristic
1280	#102	C₂²×D₅	1	1	yes	characteristic
1281	#102	C₂²×D₅	1	1	yes	characteristic
1282	#102	C₂²×D₅	1	1	yes	characteristic
1283	C₂²⋊C₈	—	5	1	no	—
1284	C₂²⋊C₈	—	5	1	no	—
1285	C₂²⋊C₈	—	5	1	no	—
1286	C₂²⋊C₈	—	5	1	no	—
1287	C₂²⋊C₈	—	5	1	no	—
1288	C₂²⋊C₈	—	5	1	no	—
1289	#97	—	5	1	no	—
1290	#97	—	5	1	no	—
1291	#97	—	5	1	no	—
1292	#97	—	5	1	no	—
1293	C₄×C₈	—	5	1	no	—
1294	C₄×C₈	—	5	1	no	—
1295	C₂²×C₅	—	2	1	no	—
1296	C₂²×C₅	—	2	1	no	—
1297	C₂²×C₅	—	2	2	no	—
1298	C₂²×C₅	—	2	1	no	—
1299	C₂²×C₅	—	4	1	no	—
1300	C₂²×C₅	—	4	1	no	—
1301	C₂²×C₅	—	4	1	no	—
1302	C₂²×C₅	—	4	1	no	—
1303	C₂²×C₅	—	4	1	no	—
1304	C₂²×C₅	—	4	1	no	—
1305	C₂²×C₅	—	4	1	no	—
1306	C₂²×C₅	—	4	1	no	—
1307	C₂²×C₅	—	4	1	no	—
1308	C₂²×C₅	—	4	1	no	—
1309	C₂²×C₅	—	4	1	no	—
1310	C₂²×C₅	—	16	2	no	—
1311	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1312	C₂×D₅	—	2	1	no	—
1313	C₂×D₅	—	2	1	no	—
1314	C₂×D₅	—	2	1	no	—
1315	C₂×D₅	—	2	1	no	—
1316	C₂×D₅	—	2	1	no	—
1317	C₂×D₅	—	2	1	no	—
1318	C₄×C₅	—	2	1	no	—
1319	C₄×C₅	—	2	1	no	—
1320	C₄×C₅	—	2	1	no	—
1321	C₄×C₅	—	2	1	no	—
1322	C₄×C₅	—	2	1	no	—
1323	C₄×C₅	—	4	1	no	—
1324	C₄×C₅	—	4	1	no	—
1325	C₄×C₅	—	4	1	no	—
1326	C₄×C₅	—	4	1	no	—
1327	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1328	C₄×C₅	#585	1	1	yes	characteristic
1329	Dic₅	—	2	1	no	—
1330	Dic₅	—	2	1	no	—
1331	Dic₅	—	2	1	no	—
1332	Dic₅	—	2	1	no	—
1333	Dic₅	—	2	1	no	—
1334	Dic₅	—	2	1	no	—
1335	Dic₅	—	4	1	no	—
1336	Dic₅	—	4	1	no	—
1337	Dic₅	—	4	1	no	—
1338	Dic₅	—	4	1	no	—
1339	Dic₅	—	4	1	no	—
1340	Dic₅	—	4	1	no	—
1341	Dic₅	—	4	1	no	—
1342	Dic₅	—	4	1	no	—
1343	C₂⁴	—	2	1	no	—
1344	#41	—	2	2	no	—
1345	#41	—	4	1	no	—
1346	#41	—	4	1	no	—
1347	#41	—	4	1	no	—
1348	#41	—	10	2	no	—
1349	#41	—	10	2	no	—
1350	#41	—	20	1	no	—
1351	#41	—	20	1	no	—
1352	#41	—	20	1	no	—
1353	#41	—	20	1	no	—
1354	#41	—	20	1	no	—
1355	#41	—	20	1	no	—
1356	#41	—	20	1	no	—
1357	#41	—	20	1	no	—
1358	C₂×Q₈	—	5	1	no	—
1359	C₂×Q₈	—	5	1	no	—
1360	C₂×Q₈	—	5	1	no	—
1361	C₂×Q₈	—	5	1	no	—
1362	C₂×Q₈	—	5	1	no	—
1363	C₂×Q₈	—	10	1	no	—
1364	C₂×Q₈	—	10	1	no	—
1365	C₂×Q₈	—	20	1	no	—
1366	C₂×Q₈	—	20	1	no	—
1367	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1368	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1369	C₂×D₄	—	2	1	no	—
1370	C₂×D₄	—	2	1	no	—
1371	C₂×D₄	—	2	1	no	—
1372	C₂×D₄	—	2	1	no	—
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	4	1	no	—
1377	C₂×D₄	—	4	1	no	—
1378	C₂×D₄	—	5	1	no	—
1379	C₂×D₄	—	5	1	no	—
1380	C₂×D₄	—	5	1	no	—
1381	C₂×D₄	—	10	1	no	—
1382	C₂×D₄	—	10	1	no	—
1383	C₂×D₄	—	10	1	no	—
1384	C₂×D₄	—	10	1	no	—
1385	C₂×D₄	—	10	1	no	—
1386	C₂×D₄	—	10	1	no	—
1387	C₂×D₄	—	10	1	no	—
1388	C₂×D₄	—	10	1	no	—
1389	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1390	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1391	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1392	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1393	C₂²×C₄	—	2	1	no	—
1394	C₂²×C₄	—	2	1	no	—
1395	C₂²×C₄	—	2	1	no	—
1396	C₂²×C₄	—	2	1	no	—
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	5	1	no	—
1399	C₂²×C₄	—	5	1	no	—
1400	C₂²×C₄	—	5	1	no	—
1401	C₂²×C₄	—	5	1	no	—
1402	C₂²×C₄	—	10	1	no	—
1403	C₂²×C₄	—	10	1	no	—
1404	C₂²×C₄	—	10	1	no	—
1405	C₂²×C₄	—	10	1	no	—
1406	C₂²×C₄	—	10	1	no	—
1407	C₂²×C₄	—	10	1	no	—
1408	C₂²×C₄	—	10	1	no	—
1409	C₂²×C₄	—	10	1	no	—
1410	C₂²×C₄	—	10	1	no	—
1411	C₂²×C₄	—	10	1	no	—
1412	C₂²×C₄	—	10	1	no	—
1413	C₂²×C₄	—	10	1	no	—
1414	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1415	Q₁₆	—	4	1	no	—
1416	Q₁₆	—	20	1	no	—
1417	Q₁₆	—	20	1	no	—
1418	Q₁₆	—	20	1	no	—
1419	Q₁₆	—	20	1	no	—
1420	Q₁₆	—	20	1	no	—
1421	Q₁₆	—	20	1	no	—
1422	Q₁₆	—	20	1	no	—
1423	Q₁₆	—	20	1	no	—
1424	SD₁₆	—	2	2	no	—
1425	SD₁₆	—	4	1	no	—
1426	SD₁₆	—	4	1	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	—	10	2	no	—
1429	SD₁₆	—	10	2	no	—
1430	SD₁₆	—	20	1	no	—
1431	SD₁₆	—	20	1	no	—
1432	SD₁₆	—	20	1	no	—
1433	SD₁₆	—	20	1	no	—
1434	SD₁₆	—	20	1	no	—
1435	SD₁₆	—	20	1	no	—
1436	D₈	—	2	2	no	—
1437	D₈	—	2	2	no	—
1438	D₈	—	2	2	no	—
1439	M₁₆	—	4	1	no	—
1440	M₁₆	—	20	1	no	—
1441	C₂×C₈	—	4	1	no	—
1442	C₂×C₈	—	5	1	no	—
1443	C₂×C₈	—	5	1	no	—
1444	C₂×C₈	—	5	1	no	—
1445	C₂×C₈	—	5	1	no	—
1446	C₂×C₈	—	20	1	no	—
1447	C₂×C₈	—	20	1	no	—
1448	C₂×C₈	—	20	1	no	—
1449	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1450	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1451	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1452	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	—	2	1	no	—
1454	C₄⋊C₄	—	2	1	no	—
1455	C₄⋊C₄	—	2	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	1	no	—
1458	C₄⋊C₄	—	5	1	no	—
1459	C₄⋊C₄	—	5	1	no	—
1460	C₄⋊C₄	—	5	1	no	—
1461	C₄⋊C₄	—	5	1	no	—
1462	C₄⋊C₄	—	5	1	no	—
1463	C₄⋊C₄	—	5	1	no	—
1464	C₄⋊C₄	—	5	1	no	—
1465	C₄⋊C₄	—	5	1	no	—
1466	C₄⋊C₄	—	5	1	no	—
1467	C₄⋊C₄	—	5	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	—	10	1	no	—
1498	C₄⋊C₄	—	10	1	no	—
1499	C₄⋊C₄	—	10	1	no	—
1500	C₄⋊C₄	—	10	1	no	—
1501	C₄⋊C₄	—	10	1	no	—
1502	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1503	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1504	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1505	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1506	C₂²⋊C₄	—	2	1	no	—
1507	C₂²⋊C₄	—	2	1	no	—
1508	C₂²⋊C₄	—	2	1	no	—
1509	C₂²⋊C₄	—	2	1	no	—
1510	C₂²⋊C₄	—	2	1	no	—
1511	C₂²⋊C₄	—	2	1	no	—
1512	C₂²⋊C₄	—	5	1	no	—
1513	C₂²⋊C₄	—	5	1	no	—
1514	C₂²⋊C₄	—	5	1	no	—
1515	C₂²⋊C₄	—	5	1	no	—
1516	C₂²⋊C₄	—	5	1	no	—
1517	C₂²⋊C₄	—	5	1	no	—
1518	C₂²⋊C₄	—	5	1	no	—
1519	C₂²⋊C₄	—	5	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	—	10	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1545	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1546	C₄²	—	2	1	no	—
1547	C₄²	—	2	1	no	—
1548	C₄²	—	5	1	no	—
1549	C₄²	—	5	1	no	—
1550	C₄²	—	5	1	no	—
1551	C₄²	—	5	1	no	—
1552	C₄²	—	10	1	no	—
1553	C₄²	—	10	1	no	—
1554	C₄²	—	10	1	no	—
1555	C₄²	—	10	1	no	—
1556	C₄²	—	10	1	no	—
1557	C₄²	—	10	1	no	—
1558	C₄²	—	10	1	no	—
1559	C₄²	—	10	1	no	—
1560	C₄²	C₂³×D₅	1	1	yes	characteristic
1561	C₄²	C₂³×D₅	1	1	yes	characteristic
1562	C₂×C₅	—	4	1	no	—
1563	C₂×C₅	—	4	2	no	—
1564	C₂×C₅	—	8	1	no	—
1565	C₂×C₅	—	8	1	no	—
1566	C₂×C₅	—	8	1	no	—
1567	C₂×C₅	#3488	1	1	yes	characteristic
1568	C₂×C₅	#3584	1	1	yes	characteristic
1569	C₂×C₅	#3586	1	1	yes	characteristic
1570	D₅	—	4	1	no	—
1571	D₅	—	4	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	2	1	no	—
1575	C₂³	—	2	1	no	—
1576	C₂³	—	5	1	no	—
1577	C₂³	—	5	1	no	—
1578	C₂³	—	8	1	no	—
1579	C₂³	—	8	1	no	—
1580	C₂³	—	8	1	no	—
1581	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1582	Q₈	—	2	1	no	—
1583	Q₈	—	2	1	no	—
1584	Q₈	—	2	1	no	—
1585	Q₈	—	2	1	no	—
1586	Q₈	—	10	1	no	—
1587	Q₈	—	10	1	no	—
1588	Q₈	—	10	1	no	—
1589	Q₈	—	10	1	no	—
1590	Q₈	—	10	1	no	—
1591	Q₈	—	10	1	no	—
1592	Q₈	—	10	1	no	—
1593	Q₈	—	10	1	no	—
1594	Q₈	—	20	1	no	—
1595	Q₈	—	40	1	no	—
1596	Q₈	—	40	1	no	—
1597	D₄	—	2	1	no	—
1598	D₄	—	2	1	no	—
1599	D₄	—	2	1	no	—
1600	D₄	—	2	1	no	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	4	2	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	8	1	no	—
1610	D₄	—	8	1	no	—
1611	D₄	—	20	1	no	—
1612	D₄	—	20	1	no	—
1613	D₄	—	20	1	no	—
1614	D₄	—	20	2	no	—
1615	D₄	—	20	2	no	—
1616	D₄	—	40	1	no	—
1617	D₄	—	40	1	no	—
1618	D₄	—	40	1	no	—
1619	D₄	—	40	1	no	—
1620	D₄	—	40	1	no	—
1621	D₄	—	40	1	no	—
1622	D₄	#4144	1	2	yes	—
1623	C₂×C₄	—	2	1	no	—
1624	C₂×C₄	—	2	1	no	—
1625	C₂×C₄	—	2	1	no	—
1626	C₂×C₄	—	2	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	4	2	no	—
1630	C₂×C₄	—	5	1	no	—
1631	C₂×C₄	—	5	1	no	—
1632	C₂×C₄	—	5	1	no	—
1633	C₂×C₄	—	5	1	no	—
1634	C₂×C₄	—	5	1	no	—
1635	C₂×C₄	—	5	1	no	—
1636	C₂×C₄	—	8	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	8	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	10	1	no	—
1641	C₂×C₄	—	10	1	no	—
1642	C₂×C₄	—	10	1	no	—
1643	C₂×C₄	—	10	1	no	—
1644	C₂×C₄	—	10	1	no	—
1645	C₂×C₄	—	10	1	no	—
1646	C₂×C₄	—	10	1	no	—
1647	C₂×C₄	—	10	1	no	—
1648	C₂×C₄	—	10	1	no	—
1649	C₂×C₄	—	10	1	no	—
1650	C₂×C₄	—	10	1	no	—
1651	C₂×C₄	—	10	1	no	—
1652	C₂×C₄	—	20	1	no	—
1653	C₂×C₄	—	20	1	no	—
1654	C₂×C₄	—	20	2	no	—
1655	C₂×C₄	—	20	2	no	—
1656	C₂×C₄	—	20	2	no	—
1657	C₂×C₄	—	40	1	no	—
1658	C₂×C₄	—	40	1	no	—
1659	C₂×C₄	—	40	1	no	—
1660	C₂×C₄	—	40	1	no	—
1661	C₂×C₄	—	40	1	no	—
1662	C₂×C₄	—	40	1	no	—
1663	C₂×C₄	—	40	1	no	—
1664	C₂×C₄	—	40	1	no	—
1665	C₂×C₄	—	40	1	no	—
1666	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1667	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1668	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1669	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1670	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1671	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1672	C₈	—	2	1	no	—
1673	C₈	—	2	1	no	—
1674	C₈	—	2	1	no	—
1675	C₈	—	2	1	no	—
1676	C₈	—	10	1	no	—
1677	C₈	—	10	1	no	—
1678	C₈	—	10	1	no	—
1679	C₈	—	10	1	no	—
1680	C₅	#62012	1	1	yes	characteristic, complemented, Sylow
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	2	no	—
1685	C₂²	—	4	1	no	—
1686	C₂²	—	4	1	no	—
1687	C₂²	—	4	1	no	—
1688	C₂²	—	4	1	no	—
1689	C₂²	—	4	1	no	—
1690	C₂²	—	4	1	no	—
1691	C₂²	—	4	1	no	—
1692	C₂²	—	4	1	no	—
1693	C₂²	—	4	1	no	—
1694	C₂²	—	4	1	no	—
1695	C₂²	—	4	1	no	—
1696	C₂²	—	10	1	no	—
1697	C₂²	—	10	1	no	—
1698	C₂²	—	10	1	no	—
1699	C₂²	—	10	1	no	—
1700	C₂²	—	10	1	no	—
1701	C₂²	—	10	1	no	—
1702	C₂²	—	16	2	no	—
1703	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1704	C₄	—	2	1	no	—
1705	C₄	—	2	1	no	—
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	4	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	4	1	no	—
1713	C₄	—	10	1	no	—
1714	C₄	—	10	1	no	—
1715	C₄	—	10	1	no	—
1716	C₄	—	10	1	no	—
1717	C₄	—	10	1	no	—
1718	C₄	—	10	1	no	—
1719	C₄	—	20	1	no	—
1720	C₄	—	20	1	no	—
1721	C₄	—	20	1	no	—
1722	C₄	—	20	1	no	—
1723	C₄	—	20	1	no	—
1724	C₄	—	20	1	no	—
1725	C₄	—	20	1	no	—
1726	C₄	—	20	1	no	—
1727	C₄	C₂×#4144	1	1	yes	characteristic
1728	C₄	#66283	1	1	yes	characteristic
1729	C₂	—	4	1	no	—
1730	C₂	—	4	2	no	—
1731	C₂	—	8	1	no	—
1732	C₂	—	8	1	no	—
1733	C₂	—	8	1	no	—
1734	C₂	—	20	1	no	—
1735	C₂	—	20	1	no	—
1736	C₂	#10617850	1	1	yes	characteristic
1737	C₂	#10619104	1	1	yes	characteristic
1738	C₂	#10619109	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×#3045	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3045	D₅
hypocenter	C₅	#62012
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3045

Complements

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

N	H ≅ G/N	type
1. #10618229	C₂	semidirect
2. #10617796	C₂	semidirect
3. C₅×#3045	C₂	semidirect
4. #10615685	C₂	semidirect
5. #10615685	C₂	semidirect
6. #10615657	C₂	semidirect
7. #10615656	C₂	semidirect
8. #10615124	C₂	semidirect
9. #10614306	C₂	semidirect
10. #10612347	C₂	semidirect
11. #10612340	C₂	semidirect
12. #10612321	C₂	semidirect
13. #10612307	C₂	semidirect
14. #10612285	C₂	semidirect
15. #10612270	C₂	semidirect
16. #10612253	C₂	semidirect
17. #10612237	C₂	semidirect
18. #10612129	C₂	semidirect
19. #10612120	C₂	semidirect
20. #10612111	C₂	semidirect
21. #10612099	C₂	semidirect
22. #10612082	C₂	semidirect
23. #10612062	C₂	semidirect
24. #10612053	C₂	semidirect
25. #10612047	C₂	semidirect
26. #10610833	C₂	semidirect
27. #10610813	C₂	semidirect
28. #10610631	C₂	semidirect
29. #10610630	C₂	semidirect
30. #10610494	C₂	semidirect
31. #10610490	C₂	semidirect
42. C₂×#4061	C₂²	semidirect
45. C₂×#4058	C₂²	semidirect
62. #65917	C₂²	semidirect
63. #65915	C₂²	semidirect
64. #65912	C₂²	semidirect
65. #65901	C₂²	semidirect
67. #65889	C₂²	semidirect
68. #65880	C₂²	semidirect
71. #65873	C₂²	semidirect
73. C₄×#711	C₂²	semidirect
100. #65477	C₂²	semidirect
101. #65475	C₂²	semidirect
102. #65471	C₂²	semidirect
103. #65470	C₂²	semidirect
104. #65463	C₂²	semidirect
107. #65462	C₂²	semidirect
108. #65462	C₂²	semidirect
113. #65456	C₂²	semidirect
114. #65453	C₂²	semidirect
117. #65451	C₂²	semidirect
118. #65451	C₂²	semidirect
121. #65447	C₂²	semidirect
124. #65442	C₂²	semidirect
127. D₈×Dic₅	C₂²	semidirect
144. #65320	C₂²	semidirect
145. #65319	C₂²	semidirect
146. C₄×#689	C₂²	semidirect
147. #65311	C₂²	semidirect
148. #65308	C₂²	semidirect
149. #65307	C₂²	semidirect
150. C₄×#687	C₂²	semidirect
151. #65298	C₂²	semidirect
155. #65138	C₂²	semidirect
156. #65138	C₂²	semidirect
157. #65138	C₂²	semidirect
158. #65138	C₂²	semidirect
159. #65129	C₂²	semidirect
160. #65128	C₂²	semidirect
161. #65125	C₂²	semidirect
162. #65124	C₂²	semidirect
163. #65123	C₂²	semidirect
164. D₅×C₄⋊C₈	C₂²	semidirect
165. #65120	C₂²	semidirect
166. #65118	C₂²	semidirect
167. #65118	C₂²	semidirect
168. #65118	C₂²	semidirect
169. #65118	C₂²	semidirect
170. #65117	C₂²	semidirect
171. #65104	C₂²	semidirect
172. #65102	C₂²	semidirect
173. #65097	C₂²	semidirect
174. D₅×#103	C₂²	semidirect
175. #65086	C₂²	semidirect
176. #65082	C₂²	semidirect
177. #65080	C₂²	semidirect
178. #65078	C₂²	semidirect
182. #65072	C₂²	semidirect
185. #65067	C₂²	semidirect
186. #65066	C₂²	semidirect
189. #65061	C₂²	semidirect
194. #65056	C₂²	semidirect
197. #65054	C₂²	semidirect
198. #65052	C₂²	semidirect
202. #65046	C₂²	semidirect
513. #3045	D₅	semidirect
1680. C₅	#62012	semidirect

Maximal subgroups

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

subgroup	index
#10618229	2
#10617796	2
C₅×#3045	2
#10615685	2
#10615657	2
#10615656	2
#10615124	2
#10614306	2
#10612347	2
#10612340	2
#10612321	2
#10612307	2
#10612285	2
#10612270	2
#10612253	2
#10612237	2
#10612129	2
#10612120	2
#10612111	2
#10612099	2
#10612082	2
#10612062	2
#10612053	2
#10612047	2
#10610833	2
#10610813	2
#10610631	2
#10610630	2
#10610494	2
#10610490	2
#62012	5