Subgroups — #12992743

Order 1280.

1790 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	#10618381	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617779	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3126	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615168	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614285	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613137	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613133	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613117	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613115	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612995	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612943	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612942	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612937	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612123	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612120	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612116	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612113	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611798	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611796	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611795	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611792	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611532	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611528	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611496	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611487	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611411	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611405	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611373	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611357	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611124	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611110	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#540	C₂²	1	1	yes	characteristic
33	C₅×#519	C₂²	1	1	yes	characteristic, complemented
34	#66151	C₂²	1	1	yes	characteristic, complemented
35	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂²×#689	C₂²	1	1	yes	characteristic, complemented
37	C₂×#4088	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic
39	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4061	C₂²	1	1	yes	characteristic
41	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic
42	#66050	C₂²	1	1	yes	characteristic
43	#66049	C₂²	1	1	yes	characteristic
44	#66031	C₂²	1	1	yes	characteristic
45	#66025	C₂²	1	1	yes	characteristic
46	#66001	—	2	1	no	—
47	#65999	—	2	1	no	—
48	#65992	—	2	1	no	—
49	#65991	—	2	1	no	—
50	#65954	—	2	1	no	—
51	#65953	—	2	1	no	—
52	#65952	—	2	1	no	—
53	#65951	—	2	1	no	—
54	#65946	C₂²	1	1	yes	characteristic
55	#65933	C₂²	1	1	yes	characteristic
56	#65932	C₂²	1	1	yes	characteristic
57	#65932	C₂²	1	1	yes	characteristic
58	#65918	—	2	1	no	—
59	#65918	C₂²	1	1	yes	characteristic
60	#65916	—	2	1	no	—
61	#65916	C₂²	1	1	yes	characteristic
62	#65912	—	2	1	no	—
63	#65912	C₂²	1	1	yes	characteristic, complemented
64	#65910	C₂²	1	1	yes	characteristic
65	C₄×#713	C₂²	1	1	yes	characteristic, complemented
66	#65906	C₂²	1	1	yes	characteristic
67	#65902	—	2	1	no	—
68	#65902	C₂²	1	1	yes	characteristic, complemented
69	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
70	#65893	C₂²	1	1	yes	characteristic
71	#65889	C₂²	1	1	yes	characteristic
72	#65888	C₂²	1	1	yes	characteristic
73	#65876	C₂²	1	1	yes	characteristic
74	#65868	—	2	1	no	—
75	#65868	C₂²	1	1	yes	characteristic, complemented
76	#65867	—	2	1	no	—
77	#65867	C₂²	1	1	yes	characteristic, complemented
78	#65866	—	2	1	no	—
79	#65866	C₂²	1	1	yes	characteristic
80	#65862	—	2	1	no	—
81	#65862	C₂²	1	1	yes	characteristic
82	#65860	C₂²	1	1	yes	characteristic
83	C₅×#482	C₂²	1	1	yes	characteristic
84	C₅×#482	C₂²	1	1	yes	characteristic, complemented
85	C₅×#479	C₂²	1	1	yes	characteristic, complemented
86	C₅×#479	C₂²	1	1	yes	characteristic, complemented
87	C₅×#460	C₂²	1	1	yes	characteristic
88	C₅×#460	C₂²	1	1	yes	characteristic
89	C₅×#448	C₂²	1	1	yes	characteristic
90	C₅×#448	C₂²	1	1	yes	characteristic, complemented
91	C₅×#440	C₂²	1	1	yes	characteristic
92	C₅×#440	C₂²	1	1	yes	characteristic, complemented
93	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
95	C₅×#433	C₂²	1	1	yes	characteristic, complemented
96	#65465	C₂²	1	1	yes	characteristic
97	#65462	C₂²	1	1	yes	characteristic
98	#65462	C₂²	1	1	yes	characteristic
99	#65462	C₂²	1	1	yes	characteristic, complemented
100	#65458	C₂²	1	1	yes	characteristic
101	#65457	C₂²	1	1	yes	characteristic
102	#65456	C₂²	1	1	yes	characteristic
103	#65456	C₂²	1	1	yes	characteristic, complemented
104	#65455	C₂²	1	1	yes	characteristic
105	#65455	C₂²	1	1	yes	characteristic
106	#65455	C₂²	1	1	yes	characteristic, complemented
107	#65452	C₂²	1	1	yes	characteristic
108	#65364	C₂²	1	1	yes	characteristic
109	#65361	C₂²	1	1	yes	characteristic
110	#65355	C₂²	1	1	yes	characteristic, complemented
111	#65352	C₂²	1	1	yes	characteristic, complemented
112	#65331	C₂²	1	1	yes	characteristic
113	#65330	C₂²	1	1	yes	characteristic, complemented
114	#65328	C₂²	1	1	yes	characteristic, complemented
115	#65327	C₂²	1	1	yes	characteristic
116	#65320	C₂²	1	1	yes	characteristic, complemented
117	#65320	C₂²	1	1	yes	characteristic, complemented
118	#65320	C₂²	1	1	yes	characteristic, complemented
119	#65320	C₂²	1	1	yes	characteristic, complemented
120	#65317	C₂²	1	1	yes	characteristic
121	#65317	C₂²	1	1	yes	characteristic
122	#65317	C₂²	1	1	yes	characteristic
123	#65317	C₂²	1	1	yes	characteristic
124	#65305	C₂²	1	1	yes	characteristic
125	#65305	C₂²	1	1	yes	characteristic, complemented
126	#65297	C₂²	1	1	yes	characteristic
127	#65296	C₂²	1	1	yes	characteristic, complemented
128	#65293	C₂²	1	1	yes	characteristic, complemented
129	#65291	C₂²	1	1	yes	characteristic
130	#65288	C₂²	1	1	yes	characteristic, complemented
131	#65179	C₂²	1	1	yes	characteristic
132	#65178	C₂²	1	1	yes	characteristic, complemented
133	#65177	C₂²	1	1	yes	characteristic
134	#65176	C₂²	1	1	yes	characteristic, complemented
135	#65175	C₂²	1	1	yes	characteristic
136	#65174	C₂²	1	1	yes	characteristic
137	#65164	C₂²	1	1	yes	characteristic, complemented
138	#65162	C₂²	1	1	yes	characteristic, complemented
139	#65158	C₂²	1	1	yes	characteristic
140	#65156	C₂²	1	1	yes	characteristic
141	#65156	C₂²	1	1	yes	characteristic, complemented
142	#65153	C₂²	1	1	yes	characteristic
143	#65153	C₂²	1	1	yes	characteristic
144	#65143	C₂²	1	1	yes	characteristic, complemented
145	#65143	C₂²	1	1	yes	characteristic, complemented
146	#65142	C₂²	1	1	yes	characteristic, complemented
147	#65138	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic
149	#65133	C₂²	1	1	yes	characteristic
150	#65130	C₂²	1	1	yes	characteristic, complemented
151	#65129	C₂²	1	1	yes	characteristic
152	#65128	C₂²	1	1	yes	characteristic
153	#65124	C₂²	1	1	yes	characteristic, complemented
154	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	#65107	C₂²	1	1	yes	characteristic
156	#65106	C₂²	1	1	yes	characteristic
157	#65105	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic, complemented
160	#65100	C₂²	1	1	yes	characteristic
161	#65099	C₂²	1	1	yes	characteristic, complemented
162	#65097	C₂²	1	1	yes	characteristic
163	#65097	C₂²	1	1	yes	characteristic
164	#65096	C₂²	1	1	yes	characteristic
165	#65087	C₂²	1	1	yes	characteristic, complemented
166	#65087	C₂²	1	1	yes	characteristic, complemented
167	#65082	C₂²	1	1	yes	characteristic, complemented
168	#65079	C₂²	1	1	yes	characteristic, complemented
169	#65078	C₂²	1	1	yes	characteristic, complemented
170	#65078	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic
172	#65076	C₂²	1	1	yes	characteristic, complemented
173	#65072	C₂²	1	1	yes	characteristic
174	#65072	C₂²	1	1	yes	characteristic, complemented
175	#65070	C₂²	1	1	yes	characteristic
176	#65062	C₂²	1	1	yes	characteristic
177	#65061	C₂²	1	1	yes	characteristic
178	#65061	C₂²	1	1	yes	characteristic
179	#65061	C₂²	1	1	yes	characteristic, complemented
180	#65059	C₂²	1	1	yes	characteristic
181	#65056	C₂²	1	1	yes	characteristic
182	#65054	C₂²	1	1	yes	characteristic
183	#65054	C₂²	1	1	yes	characteristic
184	#65054	C₂²	1	1	yes	characteristic, complemented
185	#65051	C₂²	1	1	yes	characteristic
186	#65049	C₂²	1	1	yes	characteristic
187	#65028	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic, complemented
189	#65023	C₂²	1	1	yes	characteristic
190	#65022	C₂²	1	1	yes	characteristic
191	#65019	C₂²	1	1	yes	characteristic
192	#65017	C₂²	1	1	yes	characteristic
193	#65017	C₂²	1	1	yes	characteristic, complemented
194	#65014	C₂²	1	1	yes	characteristic, complemented
195	#65004	C₂²	1	1	yes	characteristic, complemented
196	#65003	C₂²	1	1	yes	characteristic
197	#64995	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic
200	C₈×D₂₀	C₂²	1	1	yes	characteristic
201	#64970	C₂²	1	1	yes	characteristic, complemented
202	#64968	C₂²	1	1	yes	characteristic, complemented
203	#62013	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×#711	C₂³	1	1	yes	characteristic
208	C₂×#711	C₂³	1	1	yes	characteristic
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	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	—	2	1	no	—
226	C₄×C₅×Q₈	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	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	—	2	1	no	—
235	C₅×#117	C₂³	1	1	yes	characteristic
236	C₅×#117	C₂³	1	1	yes	characteristic
237	#4093	—	2	1	no	—
238	#4093	C₂³	1	1	yes	characteristic
239	#4092	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	#4090	—	2	1	no	—
246	#4090	C₂³	1	1	yes	characteristic
247	C₂×#689	—	4	2	no	—
248	C₂×#689	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#689	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	#4088	—	4	2	no	—
255	C₂×#688	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	#4086	—	2	1	no	—
258	#4086	C₂³	1	1	yes	characteristic
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	#4084	—	2	1	no	—
265	#4084	—	2	1	no	—
266	#4084	—	2	1	no	—
267	#4083	—	2	1	no	—
268	#4083	—	2	1	no	—
269	#4083	—	2	1	no	—
270	#4082	C₂³	1	1	yes	characteristic
271	#4082	C₂³	1	1	yes	characteristic
272	#4082	C₂³	1	1	yes	characteristic
273	D₄×Dic₅	—	2	1	no	—
274	D₄×Dic₅	—	2	1	no	—
275	D₄×Dic₅	—	2	1	no	—
276	D₄×Dic₅	—	2	1	no	—
277	C₂×#687	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	#4076	—	2	1	no	—
282	#4076	—	2	1	no	—
283	#4076	—	2	1	no	—
284	#4076	C₂³	1	1	yes	characteristic
285	#4075	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
290	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
291	C₂×#685	—	2	1	no	—
292	#4072	—	2	1	no	—
293	C₂×C₄⋊Dic₅	—	2	1	no	—
294	#4070	—	2	1	no	—
295	#4070	—	2	1	no	—
296	#4070	C₂³	1	1	yes	characteristic
297	C₂×#681	C₂³	1	1	yes	characteristic
298	C₂²×#168	C₂³	1	1	yes	characteristic
299	#4062	—	4	2	no	—
300	#4062	—	4	2	no	—
301	#4061	—	4	2	no	—
302	D₅×SD₁₆	—	4	2	no	—
303	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
304	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
305	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
306	C₂×D₄₀	C₂³	1	1	yes	characteristic
307	C₂×#677	C₂³	1	1	yes	characteristic
308	C₂×#677	C₂³	1	1	yes	characteristic
309	C₂×#677	C₂³	1	1	yes	characteristic
310	C₂×#677	C₂³	1	1	yes	characteristic
311	C₂×#676	C₂³	1	1	yes	characteristic
312	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
313	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
314	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
315	#4044	—	2	1	no	—
316	#4044	—	2	1	no	—
317	#4044	—	2	1	no	—
318	#4044	—	2	1	no	—
319	#4044	—	2	1	no	—
320	#4044	—	2	1	no	—
321	#4044	—	2	1	no	—
322	#4044	D₄	1	1	yes	characteristic
323	#4043	—	2	1	no	—
324	#4043	—	2	1	no	—
325	#4043	—	2	1	no	—
326	#4043	C₂³	1	1	yes	characteristic
327	#4043	C₂³	1	1	yes	characteristic
328	#4043	C₂³	1	1	yes	characteristic
329	#4043	C₂³	1	1	yes	characteristic
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4042	—	2	1	no	—
334	#4042	D₄	1	1	yes	characteristic
335	#4041	—	2	1	no	—
336	#4041	C₂³	1	1	yes	characteristic
337	#4041	C₂³	1	1	yes	characteristic
338	#4040	—	2	1	no	—
339	#4040	—	2	1	no	—
340	#4040	D₄	1	1	yes	characteristic
341	#4039	—	2	1	no	—
342	#4039	—	2	1	no	—
343	#4039	C₂³	1	1	yes	characteristic
344	#4039	C₂³	1	1	yes	characteristic
345	#4038	—	2	1	no	—
346	#4038	—	2	1	no	—
347	#4038	—	2	1	no	—
348	#4038	C₂³	1	1	yes	characteristic
349	#4038	C₂³	1	1	yes	characteristic
350	#4036	—	2	1	no	—
351	#4036	—	2	1	no	—
352	#4035	—	2	1	no	—
353	#4035	D₄	1	1	yes	characteristic
354	#4034	—	2	1	no	—
355	#4034	—	2	1	no	—
356	#4034	C₂³	1	1	yes	characteristic
357	#4034	C₂³	1	1	yes	characteristic
358	#4033	—	2	1	no	—
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4033	C₂³	1	1	yes	characteristic
362	#4033	C₂³	1	1	yes	characteristic
363	#4032	—	2	1	no	—
364	#4032	—	2	1	no	—
365	#4032	—	2	1	no	—
366	#4032	—	2	1	no	—
367	#4032	—	2	1	no	—
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4031	—	2	1	no	—
371	#4031	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4031	D₄	1	1	yes	characteristic
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4030	D₄	1	1	yes	characteristic
378	#4029	—	2	1	no	—
379	#4029	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	D₄	1	1	yes	characteristic
382	#4028	—	2	1	no	—
383	#4027	—	2	1	no	—
384	D₅×C₂²⋊C₄	—	2	1	no	—
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4025	D₄	1	1	yes	characteristic
389	#4024	—	2	1	no	—
390	#4024	—	2	1	no	—
391	#4022	—	2	1	no	—
392	#4022	—	2	1	no	—
393	#4022	—	2	1	no	—
394	#4021	—	2	1	no	—
395	#4021	—	2	1	no	—
396	#4021	—	2	1	no	—
397	#4021	—	2	1	no	—
398	#4021	C₂³	1	1	yes	characteristic
399	#4021	C₂³	1	1	yes	characteristic
400	#4021	C₂³	1	1	yes	characteristic
401	C₄×D₂₀	—	2	1	no	—
402	C₄×D₂₀	—	2	1	no	—
403	C₄×D₂₀	C₂³	1	1	yes	characteristic
404	C₄×D₂₀	C₂³	1	1	yes	characteristic
405	#4018	—	2	1	no	—
406	#4018	—	2	1	no	—
407	#4018	—	2	1	no	—
408	#4018	—	2	1	no	—
409	#4018	C₂³	1	1	yes	characteristic
410	C₄²×D₅	—	2	1	no	—
411	C₄²×D₅	C₂³	1	1	yes	characteristic
412	#4015	—	2	1	no	—
413	#4015	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	—	2	1	no	—
419	C₄×Dic₁₀	—	2	1	no	—
420	C₄×Dic₁₀	—	2	1	no	—
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#107	C₂³	1	1	yes	characteristic
424	C₅×#107	C₂³	1	1	yes	characteristic
425	C₅×#106	C₂³	1	1	yes	characteristic
426	C₅×#106	C₂³	1	1	yes	characteristic
427	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×#102	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₅×#97	C₂³	1	1	yes	characteristic
440	C₄×C₅×C₈	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	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3952	C₂³	1	1	yes	characteristic
448	#3952	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	#3947	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	#3946	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	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	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	#3562	—	5	1	no	—
486	#3518	—	5	1	no	—
487	#3402	—	5	1	no	—
488	#3401	—	5	1	no	—
489	#3375	—	5	1	no	—
490	#3369	—	5	1	no	—
491	#3321	—	5	1	no	—
492	#3319	—	5	1	no	—
493	#3313	—	5	1	no	—
494	#3311	—	5	1	no	—
495	#3304	—	5	1	no	—
496	#3302	—	5	1	no	—
497	#3285	—	5	1	no	—
498	#3282	—	5	1	no	—
499	#3271	—	5	1	no	—
500	#3270	—	5	1	no	—
501	#3269	—	5	1	no	—
502	#3266	—	5	1	no	—
503	#3258	—	5	1	no	—
504	#3257	—	5	1	no	—
505	#3248	—	5	1	no	—
506	#3225	—	5	1	no	—
507	#3224	—	5	1	no	—
508	#3216	—	5	1	no	—
509	#3127	—	5	1	no	—
510	#3126	D₅	1	1	yes	characteristic, complemented
511	#3111	—	5	1	no	—
512	#3044	—	5	1	no	—
513	#3043	—	5	1	no	—
514	#3035	—	5	1	no	—
515	#2992	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₂×C₅×Q₈	—	2	1	no	—
518	C₂×C₅×Q₈	—	2	2	no	—
519	C₂×C₅×Q₈	—	4	1	no	—
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
522	C₂×C₅×D₄	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
527	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	—	2	1	no	—
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
541	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
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	#713	—	2	2	no	—
547	#713	—	4	1	no	—
548	Q₈×D₅	—	2	2	no	—
549	Q₈×D₅	—	4	1	no	—
550	#711	—	4	1	no	—
551	#711	—	4	1	no	—
552	#711	—	4	1	no	—
553	#711	—	4	1	no	—
554	#711	—	4	1	no	—
555	#711	—	4	1	no	—
556	D₄×D₅	—	4	1	no	—
557	D₄×D₅	—	4	1	no	—
558	#709	—	4	1	no	—
559	#709	—	4	1	no	—
560	C₂×D₂₀	—	2	1	no	—
561	C₂×D₂₀	—	2	1	no	—
562	C₂×D₂₀	—	2	1	no	—
563	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
564	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
565	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
566	C₂×C₄×D₅	—	2	1	no	—
567	C₂×C₄×D₅	—	2	1	no	—
568	C₂×C₄×D₅	—	2	1	no	—
569	C₂×C₄×D₅	—	2	1	no	—
570	C₂×C₄×D₅	—	2	1	no	—
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
573	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
575	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
576	C₂×Dic₁₀	—	2	1	no	—
577	C₂×Dic₁₀	—	2	1	no	—
578	C₂×Dic₁₀	—	2	1	no	—
579	C₂×Dic₁₀	—	2	1	no	—
580	C₂×Dic₁₀	—	2	1	no	—
581	C₂×Dic₁₀	—	4	1	no	—
582	C₂×Dic₁₀	—	4	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×SD₁₆	—	2	2	no	—
589	C₅×SD₁₆	—	2	2	no	—
590	C₅×SD₁₆	—	4	1	no	—
591	C₅×SD₁₆	—	4	1	no	—
592	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
593	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
594	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
595	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	—	2	1	no	—
598	C₅×C₄⋊C₄	—	2	1	no	—
599	C₅×C₄⋊C₄	—	2	1	no	—
600	C₅×C₄⋊C₄	—	2	1	no	—
601	C₅×C₄⋊C₄	—	2	1	no	—
602	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
603	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
604	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
605	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
606	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
607	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	—	2	1	no	—
611	C₅×C₂²⋊C₄	—	2	1	no	—
612	C₅×C₂²⋊C₄	—	2	1	no	—
613	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
614	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
615	C₄²×C₅	—	2	1	no	—
616	C₄²×C₅	—	2	1	no	—
617	C₄²×C₅	—	2	1	no	—
618	C₄²×C₅	—	2	1	no	—
619	C₄²×C₅	—	2	1	no	—
620	C₄²×C₅	C₂⁴	1	1	yes	characteristic
621	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
630	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
631	#689	—	2	2	no	—
632	#689	—	2	2	no	—
633	#689	—	2	2	no	—
634	#689	—	4	1	no	—
635	#689	—	4	1	no	—
636	#689	—	4	1	no	—
637	#688	—	2	2	no	—
638	#688	—	4	1	no	—
639	#687	—	4	1	no	—
640	#687	—	4	1	no	—
641	#686	—	4	1	no	—
642	#686	—	4	1	no	—
643	#685	—	2	1	no	—
644	#685	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	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	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	C₂×D₄	1	1	yes	characteristic
666	#685	C₂×D₄	1	1	yes	characteristic
667	#685	C₂×D₄	1	1	yes	characteristic
668	#685	C₂×D₄	1	1	yes	characteristic
669	#685	C₂×D₄	1	1	yes	characteristic
670	#685	C₂×D₄	1	1	yes	characteristic
671	C₄⋊Dic₅	—	2	1	no	—
672	C₄⋊Dic₅	—	2	1	no	—
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	—	2	1	no	—
679	C₄⋊Dic₅	—	2	1	no	—
680	C₄⋊Dic₅	—	2	1	no	—
681	C₄⋊Dic₅	—	2	1	no	—
682	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
683	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
684	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
685	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	C₂×D₄	1	1	yes	characteristic
699	#683	C₂×D₄	1	1	yes	characteristic
700	#683	C₂×D₄	1	1	yes	characteristic
701	#683	C₂×D₄	1	1	yes	characteristic
702	#683	C₂×D₄	1	1	yes	characteristic
703	#683	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	—	2	1	no	—
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	—	2	1	no	—
713	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
716	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
717	#681	—	4	1	no	—
718	C₂×#168	—	4	1	no	—
719	C₂×#168	C₂⁴	1	1	yes	characteristic
720	C₂×#168	C₂⁴	1	1	yes	characteristic
721	C₂×#168	C₂⁴	1	1	yes	characteristic
722	C₂×#168	C₂⁴	1	1	yes	characteristic
723	Dic₂₀	—	4	1	no	—
724	Dic₂₀	—	4	1	no	—
725	Dic₂₀	—	4	1	no	—
726	D₄₀	—	4	1	no	—
727	#677	—	4	1	no	—
728	#677	—	4	1	no	—
729	#677	—	4	1	no	—
730	#677	—	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×#137	—	5	1	no	—
737	C₂×#135	—	5	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂²×Q₁₆	—	5	1	no	—
740	C₂²×SD₁₆	—	5	1	no	—
741	#562	—	10	1	no	—
742	#560	—	10	1	no	—
743	#559	—	5	1	no	—
744	Q₈²	—	5	1	no	—
745	#556	—	5	1	no	—
746	#556	—	5	1	no	—
747	#556	—	5	1	no	—
748	#556	—	5	1	no	—
749	#556	—	10	1	no	—
750	#556	—	10	1	no	—
751	#556	—	10	1	no	—
752	#555	—	5	1	no	—
753	#555	—	10	1	no	—
754	#553	—	10	1	no	—
755	#551	—	10	1	no	—
756	#550	—	5	1	no	—
757	D₄×Q₈	—	5	1	no	—
758	#548	—	5	1	no	—
759	#548	—	5	1	no	—
760	#548	—	5	1	no	—
761	#548	—	5	1	no	—
762	#547	—	5	1	no	—
763	#546	—	5	1	no	—
764	#546	—	5	1	no	—
765	#542	—	5	1	no	—
766	#542	—	5	1	no	—
767	#542	—	10	1	no	—
768	#542	—	10	1	no	—
769	#541	—	5	1	no	—
770	#540	—	10	1	no	—
771	#540	C₂×D₅	1	1	yes	characteristic
772	#539	—	10	1	no	—
773	#538	—	10	1	no	—
774	#538	—	10	1	no	—
775	#536	—	5	1	no	—
776	#535	—	5	1	no	—
777	#533	—	5	1	no	—
778	#533	—	10	1	no	—
779	#532	—	5	1	no	—
780	#529	—	5	1	no	—
781	#529	—	5	1	no	—
782	#529	—	10	1	no	—
783	#519	—	5	1	no	—
784	#519	C₂×D₅	1	1	yes	characteristic, complemented
785	C₄×#41	—	5	1	no	—
786	#497	—	5	1	no	—
787	#497	—	5	1	no	—
788	#497	—	5	1	no	—
789	#496	—	5	1	no	—
790	#495	—	5	1	no	—
791	#495	—	5	1	no	—
792	#489	—	5	1	no	—
793	#489	—	5	1	no	—
794	#489	—	5	1	no	—
795	#489	—	5	1	no	—
796	#487	—	5	1	no	—
797	#486	—	5	1	no	—
798	#485	—	5	1	no	—
799	#485	—	5	1	no	—
800	#485	—	5	1	no	—
801	#482	—	5	1	no	—
802	#482	C₂×D₅	1	1	yes	characteristic
803	#482	C₂×D₅	1	1	yes	characteristic, complemented
804	#479	—	5	1	no	—
805	#479	C₂×D₅	1	1	yes	characteristic, complemented
806	#479	C₂×D₅	1	1	yes	characteristic, complemented
807	#478	—	5	1	no	—
808	#477	—	5	1	no	—
809	#476	—	5	1	no	—
810	#475	—	5	1	no	—
811	#475	—	5	1	no	—
812	#474	—	5	1	no	—
813	#474	—	5	1	no	—
814	#470	—	5	1	no	—
815	#469	—	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	#466	—	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	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#463	—	5	1	no	—
842	#462	—	5	1	no	—
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#462	—	5	1	no	—
846	#462	—	5	1	no	—
847	#462	—	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	—	5	1	no	—
853	#460	C₂×D₅	1	1	yes	characteristic
854	#460	C₂×D₅	1	1	yes	characteristic
855	#459	—	5	1	no	—
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	#451	—	5	1	no	—
864	#451	—	5	1	no	—
865	#451	—	5	1	no	—
866	#450	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	—	5	1	no	—
869	#449	—	5	1	no	—
870	#448	—	5	1	no	—
871	#448	C₂×D₅	1	1	yes	characteristic
872	#448	C₂×D₅	1	1	yes	characteristic, complemented
873	#447	—	5	1	no	—
874	#446	—	5	1	no	—
875	#446	—	5	1	no	—
876	#442	—	5	1	no	—
877	#441	—	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	C₂×D₅	1	1	yes	characteristic
883	#440	C₂×D₅	1	1	yes	characteristic, complemented
884	C₄×Q₁₆	—	5	1	no	—
885	C₄×Q₁₆	—	5	1	no	—
886	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
887	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic, complemented
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	C₂×D₅	1	1	yes	characteristic, complemented
896	#432	—	5	1	no	—
897	#424	—	5	1	no	—
898	#424	—	5	1	no	—
899	C₂×C₄⋊C₈	—	5	1	no	—
900	#419	—	5	1	no	—
901	#418	—	5	1	no	—
902	#416	—	5	1	no	—
903	#416	—	5	1	no	—
904	#416	—	5	1	no	—
905	#416	—	5	1	no	—
906	C₂³×C₅	—	2	1	no	—
907	C₂³×C₅	—	2	1	no	—
908	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂²×D₅	—	2	1	no	—
910	C₂²×D₅	—	2	1	no	—
911	C₂²×D₅	—	8	1	no	—
912	C₂²×D₅	—	8	1	no	—
913	C₂²×D₅	—	8	1	no	—
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	—	4	2	no	—
920	C₅×Q₈	H(5,𝔽₂)	1	2	yes	—
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	—	8	1	no	—
926	C₅×D₄	—	8	1	no	—
927	C₅×D₄	—	8	1	no	—
928	C₅×D₄	—	8	1	no	—
929	C₂×C₄×C₅	—	2	1	no	—
930	C₂×C₄×C₅	—	2	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	4	2	no	—
938	C₂×C₄×C₅	—	8	1	no	—
939	C₂×C₄×C₅	—	8	1	no	—
940	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
945	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
946	C₂²⋊D₅	—	4	1	no	—
947	C₂²⋊D₅	—	4	1	no	—
948	C₂²⋊D₅	—	8	1	no	—
949	C₂²⋊D₅	—	8	1	no	—
950	C₂²⋊D₅	—	8	1	no	—
951	C₂²⋊D₅	—	8	1	no	—
952	C₂²⋊D₅	—	8	1	no	—
953	C₂²⋊D₅	—	8	1	no	—
954	C₂²⋊D₅	—	8	1	no	—
955	C₂²⋊D₅	—	8	1	no	—
956	C₂×Dic₅	—	2	1	no	—
957	C₂×Dic₅	—	2	1	no	—
958	C₂×Dic₅	—	2	1	no	—
959	C₂×Dic₅	—	2	1	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	8	1	no	—
963	C₂×Dic₅	—	8	1	no	—
964	C₂×Dic₅	—	8	1	no	—
965	C₂×Dic₅	—	8	1	no	—
966	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
967	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
968	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
969	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
970	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	D₂₀	—	2	1	no	—
973	D₂₀	—	2	1	no	—
974	D₂₀	—	2	1	no	—
975	D₂₀	—	2	1	no	—
976	D₂₀	—	4	1	no	—
977	D₂₀	—	4	2	no	—
978	D₂₀	—	8	1	no	—
979	D₂₀	—	8	1	no	—
980	C₄×D₅	—	2	1	no	—
981	C₄×D₅	—	2	1	no	—
982	C₄×D₅	—	2	1	no	—
983	C₄×D₅	—	2	1	no	—
984	C₄×D₅	—	4	1	no	—
985	C₄×D₅	—	4	1	no	—
986	C₄×D₅	—	4	2	no	—
987	C₄×D₅	—	4	2	no	—
988	C₄×D₅	—	4	2	no	—
989	C₄×D₅	—	8	1	no	—
990	C₄×D₅	—	8	1	no	—
991	C₄×D₅	—	8	1	no	—
992	Dic₁₀	—	2	1	no	—
993	Dic₁₀	—	2	1	no	—
994	Dic₁₀	—	2	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	—	4	1	no	—
1001	Dic₁₀	—	4	2	no	—
1002	Dic₁₀	—	8	1	no	—
1003	Dic₁₀	—	8	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	C₂²×Q₈	—	5	1	no	—
1020	C₂²×Q₈	—	5	1	no	—
1021	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1022	C₂²×D₄	—	5	1	no	—
1023	#137	—	20	2	no	—
1024	#137	—	20	2	no	—
1025	#135	—	20	2	no	—
1026	#135	—	20	2	no	—
1027	C₂×Q₁₆	—	5	1	no	—
1028	C₂×Q₁₆	—	5	1	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	—	20	2	no	—
1037	C₂×SD₁₆	—	5	1	no	—
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	—	20	2	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	—	5	1	no	—
1051	C₂×D₈	—	5	1	no	—
1052	C₂×D₈	—	5	1	no	—
1053	C₂×M₁₆	—	5	1	no	—
1054	C₂×M₁₆	—	5	1	no	—
1055	C₂²×C₈	—	5	1	no	—
1056	C₂²×C₈	—	5	1	no	—
1057	C₂²×C₈	—	5	1	no	—
1058	C₂²×C₈	—	5	1	no	—
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	C₄⋊Q₈	—	10	1	no	—
1066	C₄⋊Q₈	—	10	1	no	—
1067	C₄⋊Q₈	—	10	1	no	—
1068	C₄⋊Q₈	—	10	1	no	—
1069	#127	—	5	1	no	—
1070	#127	—	10	1	no	—
1071	#127	C₂²×D₅	1	1	yes	characteristic
1072	#126	—	5	1	no	—
1073	#126	—	5	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	#126	—	10	1	no	—
1082	#126	—	10	1	no	—
1083	#126	—	10	1	no	—
1084	#126	—	10	1	no	—
1085	#126	—	10	1	no	—
1086	#126	—	10	1	no	—
1087	#125	—	5	1	no	—
1088	#125	—	10	1	no	—
1089	#125	—	10	1	no	—
1090	#125	—	10	1	no	—
1091	#125	C₂²×D₅	1	1	yes	characteristic
1092	#124	—	5	1	no	—
1093	#124	—	5	1	no	—
1094	#124	—	5	1	no	—
1095	#124	—	5	1	no	—
1096	#124	—	5	1	no	—
1097	#124	—	5	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	10	1	no	—
1101	#124	—	10	1	no	—
1102	#124	—	10	1	no	—
1103	#124	—	10	1	no	—
1104	#124	—	10	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	—	10	1	no	—
1109	#124	—	10	1	no	—
1110	#124	—	10	1	no	—
1111	#123	—	2	1	no	—
1112	#123	—	2	1	no	—
1113	#123	—	5	1	no	—
1114	#123	—	5	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	C₂²⋊Q₈	—	5	1	no	—
1127	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1135	C₂²⋊Q₈	—	10	1	no	—
1136	C₂²⋊Q₈	—	10	1	no	—
1137	C₂²⋊Q₈	—	10	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	#121	—	2	1	no	—
1148	#121	—	2	1	no	—
1149	#121	—	5	1	no	—
1150	#121	—	5	1	no	—
1151	#121	—	5	1	no	—
1152	#121	—	5	1	no	—
1153	#121	—	10	1	no	—
1154	#121	—	10	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	C₂²×D₅	1	1	yes	characteristic
1168	#121	C₂²×D₅	1	1	yes	characteristic
1169	#120	—	10	1	no	—
1170	#120	—	10	1	no	—
1171	#120	—	10	1	no	—
1172	#120	—	10	1	no	—
1173	C₄×Q₈	—	2	1	no	—
1174	C₄×Q₈	—	2	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	—	5	1	no	—
1182	C₄×Q₈	—	5	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	—	10	1	no	—
1185	C₄×Q₈	—	10	1	no	—
1186	C₄×Q₈	—	10	1	no	—
1187	C₄×Q₈	—	10	1	no	—
1188	C₄×Q₈	—	10	1	no	—
1189	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1190	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1193	C₄×D₄	—	5	1	no	—
1194	C₄×D₄	—	5	1	no	—
1195	C₄×D₄	—	5	1	no	—
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	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	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	—	10	1	no	—
1210	C₄×D₄	—	10	1	no	—
1211	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1212	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1213	#117	—	2	1	no	—
1214	#117	—	2	1	no	—
1215	#117	—	5	1	no	—
1216	#117	—	5	1	no	—
1217	#117	—	5	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	—	10	1	no	—
1221	#117	—	10	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	C₂²×D₅	1	1	yes	characteristic
1227	#117	C₂²×D₅	1	1	yes	characteristic
1228	C₂×C₄⋊C₄	—	10	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1236	#107	C₂²×D₅	1	1	yes	characteristic
1237	#106	—	5	1	no	—
1238	#106	—	5	1	no	—
1239	#106	C₂²×D₅	1	1	yes	characteristic
1240	#106	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1248	C₄⋊C₈	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1266	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1278	#102	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1288	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1289	#97	—	5	1	no	—
1290	#97	—	5	1	no	—
1291	#97	—	5	1	no	—
1292	#97	C₂²×D₅	1	1	yes	characteristic
1293	C₄×C₈	—	5	1	no	—
1294	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1295	C₂²×C₅	—	2	1	no	—
1296	C₂²×C₅	—	2	1	no	—
1297	C₂²×C₅	—	2	1	no	—
1298	C₂²×C₅	—	4	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	C₂³×D₄	1	1	yes	characteristic
1305	C₂×D₅	—	2	1	no	—
1306	C₂×D₅	—	2	1	no	—
1307	C₂×D₅	—	2	1	no	—
1308	C₂×D₅	—	2	1	no	—
1309	C₂×D₅	—	2	1	no	—
1310	C₂×D₅	—	2	1	no	—
1311	C₂×D₅	—	4	1	no	—
1312	C₂×D₅	—	4	1	no	—
1313	C₂×D₅	—	4	1	no	—
1314	C₂×D₅	—	4	1	no	—
1315	C₂×D₅	—	4	1	no	—
1316	C₂×D₅	—	4	1	no	—
1317	C₂×D₅	—	16	2	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	2	no	—
1323	C₄×C₅	—	2	1	no	—
1324	C₄×C₅	—	4	1	no	—
1325	C₄×C₅	—	4	1	no	—
1326	C₄×C₅	—	4	1	no	—
1327	C₄×C₅	—	4	1	no	—
1328	C₄×C₅	—	4	1	no	—
1329	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1330	C₄×C₅	#585	1	1	yes	characteristic
1331	Dic₅	—	2	1	no	—
1332	Dic₅	—	2	1	no	—
1333	Dic₅	—	2	1	no	—
1334	Dic₅	—	2	1	no	—
1335	Dic₅	—	2	1	no	—
1336	Dic₅	—	2	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	—	10	1	no	—
1344	#41	—	10	2	no	—
1345	#41	—	20	1	no	—
1346	#41	—	20	1	no	—
1347	#41	—	20	1	no	—
1348	#41	—	20	1	no	—
1349	#41	—	20	1	no	—
1350	#41	—	20	1	no	—
1351	#41	—	20	1	no	—
1352	#41	—	20	1	no	—
1353	#41	—	20	1	no	—
1354	C₂×Q₈	—	2	1	no	—
1355	C₂×Q₈	—	2	2	no	—
1356	C₂×Q₈	—	4	1	no	—
1357	C₂×Q₈	—	5	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	—	10	1	no	—
1363	C₂×Q₈	—	10	1	no	—
1364	C₂×Q₈	—	10	1	no	—
1365	C₂×Q₈	—	10	1	no	—
1366	C₂×Q₈	—	10	1	no	—
1367	C₂×Q₈	—	10	2	no	—
1368	C₂×Q₈	—	20	1	no	—
1369	C₂×Q₈	—	20	1	no	—
1370	C₂×Q₈	—	20	1	no	—
1371	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1372	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1373	C₂×D₄	—	2	1	no	—
1374	C₂×D₄	—	2	1	no	—
1375	C₂×D₄	—	2	1	no	—
1376	C₂×D₄	—	2	1	no	—
1377	C₂×D₄	—	5	1	no	—
1378	C₂×D₄	—	5	1	no	—
1379	C₂×D₄	—	5	1	no	—
1380	C₂×D₄	—	5	1	no	—
1381	C₂×D₄	—	5	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	—	10	1	no	—
1390	C₂×D₄	—	10	1	no	—
1391	C₂×D₄	—	10	1	no	—
1392	C₂×D₄	—	10	1	no	—
1393	C₂×D₄	—	20	1	no	—
1394	C₂×D₄	—	20	1	no	—
1395	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1396	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1397	C₂²×C₄	—	2	1	no	—
1398	C₂²×C₄	—	2	1	no	—
1399	C₂²×C₄	—	2	1	no	—
1400	C₂²×C₄	—	5	1	no	—
1401	C₂²×C₄	—	5	1	no	—
1402	C₂²×C₄	—	5	1	no	—
1403	C₂²×C₄	—	5	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	—	10	2	no	—
1416	Q₁₆	—	10	2	no	—
1417	Q₁₆	—	10	2	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	—	2	2	no	—
1426	SD₁₆	—	4	1	no	—
1427	SD₁₆	—	4	1	no	—
1428	SD₁₆	—	10	2	no	—
1429	SD₁₆	—	20	1	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	—	20	1	no	—
1437	D₈	—	20	1	no	—
1438	D₈	—	20	1	no	—
1439	M₁₆	—	20	1	no	—
1440	M₁₆	—	20	1	no	—
1441	C₂×C₈	—	5	1	no	—
1442	C₂×C₈	—	5	1	no	—
1443	C₂×C₈	—	5	1	no	—
1444	C₂×C₈	—	5	1	no	—
1445	C₂×C₈	—	20	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	—	2	1	no	—
1457	C₄⋊C₄	—	2	1	no	—
1458	C₄⋊C₄	—	2	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	—	5	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	D₄×D₅	1	1	yes	characteristic
1493	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1494	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1495	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1496	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1497	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	2	1	no	—
1501	C₂²⋊C₄	—	2	1	no	—
1502	C₂²⋊C₄	—	2	1	no	—
1503	C₂²⋊C₄	—	5	1	no	—
1504	C₂²⋊C₄	—	5	1	no	—
1505	C₂²⋊C₄	—	5	1	no	—
1506	C₂²⋊C₄	—	5	1	no	—
1507	C₂²⋊C₄	—	5	1	no	—
1508	C₂²⋊C₄	—	5	1	no	—
1509	C₂²⋊C₄	—	5	1	no	—
1510	C₂²⋊C₄	—	5	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1541	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1542	C₄²	—	2	1	no	—
1543	C₄²	—	2	1	no	—
1544	C₄²	—	2	1	no	—
1545	C₄²	—	2	1	no	—
1546	C₄²	—	2	1	no	—
1547	C₄²	—	5	1	no	—
1548	C₄²	—	5	1	no	—
1549	C₄²	—	5	1	no	—
1550	C₄²	—	5	1	no	—
1551	C₄²	—	10	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	—	8	1	no	—
1564	C₂×C₅	—	8	1	no	—
1565	C₂×C₅	#3488	1	1	yes	characteristic
1566	C₂×C₅	#3584	1	1	yes	characteristic
1567	C₂×C₅	#3586	1	1	yes	characteristic
1568	D₅	—	4	1	no	—
1569	D₅	—	4	1	no	—
1570	D₅	—	8	1	no	—
1571	D₅	—	8	1	no	—
1572	C₂³	—	2	1	no	—
1573	C₂³	—	2	1	no	—
1574	C₂³	—	5	1	no	—
1575	C₂³	—	5	1	no	—
1576	C₂³	—	10	1	no	—
1577	C₂³	—	10	1	no	—
1578	C₂³	—	40	1	no	—
1579	C₂³	—	40	1	no	—
1580	C₂³	—	40	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	—	4	2	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	—	20	2	no	—
1596	Q₈	—	40	1	no	—
1597	Q₈	—	40	1	no	—
1598	Q₈	—	40	1	no	—
1599	Q₈	—	40	1	no	—
1600	Q₈	#4149	1	2	yes	—
1601	D₄	—	2	1	no	—
1602	D₄	—	2	1	no	—
1603	D₄	—	2	1	no	—
1604	D₄	—	2	1	no	—
1605	D₄	—	8	1	no	—
1606	D₄	—	8	1	no	—
1607	D₄	—	8	1	no	—
1608	D₄	—	8	1	no	—
1609	D₄	—	10	1	no	—
1610	D₄	—	10	1	no	—
1611	D₄	—	10	1	no	—
1612	D₄	—	10	1	no	—
1613	D₄	—	20	1	no	—
1614	D₄	—	20	2	no	—
1615	D₄	—	20	1	no	—
1616	D₄	—	20	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	—	40	1	no	—
1623	D₄	—	40	1	no	—
1624	D₄	—	40	1	no	—
1625	D₄	—	40	1	no	—
1626	D₄	—	40	1	no	—
1627	C₂×C₄	—	2	1	no	—
1628	C₂×C₄	—	2	1	no	—
1629	C₂×C₄	—	2	1	no	—
1630	C₂×C₄	—	2	1	no	—
1631	C₂×C₄	—	2	1	no	—
1632	C₂×C₄	—	2	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	4	2	no	—
1636	C₂×C₄	—	5	1	no	—
1637	C₂×C₄	—	5	1	no	—
1638	C₂×C₄	—	5	1	no	—
1639	C₂×C₄	—	5	1	no	—
1640	C₂×C₄	—	5	1	no	—
1641	C₂×C₄	—	5	1	no	—
1642	C₂×C₄	—	8	1	no	—
1643	C₂×C₄	—	8	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	—	10	1	no	—
1653	C₂×C₄	—	10	1	no	—
1654	C₂×C₄	—	20	1	no	—
1655	C₂×C₄	—	20	1	no	—
1656	C₂×C₄	—	20	2	no	—
1657	C₂×C₄	—	20	2	no	—
1658	C₂×C₄	—	20	2	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	#62013	1	1	yes	characteristic, complemented, Sylow
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	4	1	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	—	10	1	no	—
1691	C₂²	—	10	1	no	—
1692	C₂²	—	10	1	no	—
1693	C₂²	—	10	1	no	—
1694	C₂²	—	10	1	no	—
1695	C₂²	—	10	1	no	—
1696	C₂²	—	20	1	no	—
1697	C₂²	—	20	1	no	—
1698	C₂²	—	20	1	no	—
1699	C₂²	—	20	1	no	—
1700	C₂²	—	20	1	no	—
1701	C₂²	—	20	1	no	—
1702	C₂²	—	80	2	no	—
1703	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1704	C₄	—	2	1	no	—
1705	C₄	—	2	2	no	—
1706	C₄	—	2	1	no	—
1707	C₄	—	2	1	no	—
1708	C₄	—	2	1	no	—
1709	C₄	—	2	1	no	—
1710	C₄	—	4	1	no	—
1711	C₄	—	4	1	no	—
1712	C₄	—	4	1	no	—
1713	C₄	—	4	1	no	—
1714	C₄	—	4	1	no	—
1715	C₄	—	10	1	no	—
1716	C₄	—	10	1	no	—
1717	C₄	—	10	1	no	—
1718	C₄	—	10	1	no	—
1719	C₄	—	10	1	no	—
1720	C₄	—	10	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×#4149	1	1	yes	characteristic
1728	C₄	#66283	1	1	yes	characteristic
1729	C₂	—	4	1	no	—
1730	C₂	—	8	1	no	—
1731	C₂	—	8	1	no	—
1732	C₂	—	20	1	no	—
1733	C₂	—	20	1	no	—
1734	C₂	—	40	1	no	—
1735	C₂	—	40	1	no	—
1736	C₂	#10617942	1	1	yes	characteristic
1737	C₂	#10619107	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×#3126	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3126	D₅
hypocenter	C₅	#62013
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3126

Complements

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

N	H ≅ G/N	type
1. #10618381	C₂	semidirect
2. #10617779	C₂	semidirect
3. C₅×#3126	C₂	semidirect
4. #10615168	C₂	semidirect
5. #10614285	C₂	semidirect
6. #10613137	C₂	semidirect
7. #10613133	C₂	semidirect
8. #10613117	C₂	semidirect
9. #10613115	C₂	semidirect
10. #10612995	C₂	semidirect
11. #10612943	C₂	semidirect
12. #10612942	C₂	semidirect
13. #10612937	C₂	semidirect
14. #10612123	C₂	semidirect
15. #10612120	C₂	semidirect
16. #10612116	C₂	semidirect
17. #10612113	C₂	semidirect
18. #10611798	C₂	semidirect
19. #10611796	C₂	semidirect
20. #10611795	C₂	semidirect
21. #10611792	C₂	semidirect
22. #10611532	C₂	semidirect
23. #10611528	C₂	semidirect
24. #10611496	C₂	semidirect
25. #10611487	C₂	semidirect
26. #10611411	C₂	semidirect
27. #10611405	C₂	semidirect
28. #10611373	C₂	semidirect
29. #10611357	C₂	semidirect
30. #10611124	C₂	semidirect
31. #10611110	C₂	semidirect
33. C₅×#519	C₂²	semidirect
34. #66151	C₂²	semidirect
36. C₂²×#689	C₂²	semidirect
39. C₂×#4062	C₂²	semidirect
63. #65912	C₂²	semidirect
65. C₄×#713	C₂²	semidirect
68. #65902	C₂²	semidirect
69. Q₈×Dic₁₀	C₂²	semidirect
75. #65868	C₂²	semidirect
77. #65867	C₂²	semidirect
84. C₅×#482	C₂²	semidirect
85. C₅×#479	C₂²	semidirect
86. C₅×#479	C₂²	semidirect
90. C₅×#448	C₂²	semidirect
92. C₅×#440	C₂²	semidirect
94. C₄×C₅×SD₁₆	C₂²	semidirect
95. C₅×#433	C₂²	semidirect
99. #65462	C₂²	semidirect
103. #65456	C₂²	semidirect
106. #65455	C₂²	semidirect
110. #65355	C₂²	semidirect
111. #65352	C₂²	semidirect
113. #65330	C₂²	semidirect
114. #65328	C₂²	semidirect
116. #65320	C₂²	semidirect
117. #65320	C₂²	semidirect
118. #65320	C₂²	semidirect
119. #65320	C₂²	semidirect
125. #65305	C₂²	semidirect
127. #65296	C₂²	semidirect
128. #65293	C₂²	semidirect
130. #65288	C₂²	semidirect
132. #65178	C₂²	semidirect
134. #65176	C₂²	semidirect
137. #65164	C₂²	semidirect
138. #65162	C₂²	semidirect
141. #65156	C₂²	semidirect
144. #65143	C₂²	semidirect
145. #65143	C₂²	semidirect
146. #65142	C₂²	semidirect
147. #65138	C₂²	semidirect
150. #65130	C₂²	semidirect
153. #65124	C₂²	semidirect
154. D₅×C₄⋊C₈	C₂²	semidirect
159. #65102	C₂²	semidirect
161. #65099	C₂²	semidirect
165. #65087	C₂²	semidirect
166. #65087	C₂²	semidirect
167. #65082	C₂²	semidirect
168. #65079	C₂²	semidirect
169. #65078	C₂²	semidirect
170. #65078	C₂²	semidirect
172. #65076	C₂²	semidirect
174. #65072	C₂²	semidirect
179. #65061	C₂²	semidirect
184. #65054	C₂²	semidirect
187. #65028	C₂²	semidirect
188. #65027	C₂²	semidirect
193. #65017	C₂²	semidirect
194. #65014	C₂²	semidirect
195. #65004	C₂²	semidirect
198. #64990	C₂²	semidirect
201. #64970	C₂²	semidirect
202. #64968	C₂²	semidirect
510. #3126	D₅	semidirect
784. #519	C₂×D₅	semidirect
803. #482	C₂×D₅	semidirect
805. #479	C₂×D₅	semidirect
806. #479	C₂×D₅	semidirect
872. #448	C₂×D₅	semidirect
883. #440	C₂×D₅	semidirect
887. C₄×SD₁₆	C₂×D₅	semidirect
895. #433	C₂×D₅	semidirect
1680. C₅	#62013	semidirect

Maximal subgroups

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

subgroup	index
#10618381	2
#10617779	2
C₅×#3126	2
#10615168	2
#10614285	2
#10613137	2
#10613133	2
#10613117	2
#10613115	2
#10612995	2
#10612943	2
#10612942	2
#10612937	2
#10612123	2
#10612120	2
#10612116	2
#10612113	2
#10611798	2
#10611796	2
#10611795	2
#10611792	2
#10611532	2
#10611528	2
#10611496	2
#10611487	2
#10611411	2
#10611405	2
#10611373	2
#10611357	2
#10611124	2
#10611110	2
#62013	5