Subgroups — #12974144

Order 1280.

1728 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618453	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617794	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3124	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615192	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614307	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613203	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613190	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613018	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613008	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612864	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612845	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612710	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612702	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612357	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612337	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612282	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612273	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611968	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611954	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611825	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611810	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611545	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611522	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611521	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611516	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611481	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611457	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611330	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611325	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611120	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611104	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#520	C₂²	1	1	yes	characteristic, complemented
34	#66167	C₂²	1	1	yes	characteristic
35	#66166	C₂²	1	1	yes	characteristic, complemented
36	#66067	C₂²	1	1	yes	characteristic
37	#66062	C₂²	1	1	yes	characteristic
38	#66039	—	2	1	no	—
39	#66036	—	2	1	no	—
40	#66016	C₂²	1	1	yes	characteristic
41	#66015	—	2	1	no	—
42	#66013	—	2	1	no	—
43	D₅×#124	C₂²	1	1	yes	characteristic
44	#65998	—	2	1	no	—
45	#65992	—	2	1	no	—
46	#65975	—	2	1	no	—
47	#65971	—	2	1	no	—
48	#65962	C₂²	1	1	yes	characteristic
49	#65958	C₂²	1	1	yes	characteristic
50	#65941	C₂²	1	1	yes	characteristic
51	#65934	C₂²	1	1	yes	characteristic
52	#65916	C₂²	1	1	yes	characteristic
53	#65916	C₂²	1	1	yes	characteristic, complemented
54	#65914	C₂²	1	1	yes	characteristic
55	#65912	C₂²	1	1	yes	characteristic
56	#65912	C₂²	1	1	yes	characteristic, complemented
57	#65906	C₂²	1	1	yes	characteristic
58	#65895	C₂²	1	1	yes	characteristic
59	#65895	C₂²	1	1	yes	characteristic, complemented
60	#65891	C₂²	1	1	yes	characteristic
61	#65886	—	2	1	no	—
62	#65886	—	2	1	no	—
63	#65882	C₂²	1	1	yes	characteristic
64	#65882	C₂²	1	1	yes	characteristic, complemented
65	#65879	C₂²	1	1	yes	characteristic
66	#65874	—	2	1	no	—
67	#65874	—	2	1	no	—
68	#65868	C₂²	1	1	yes	characteristic
69	#65867	—	2	1	no	—
70	#65866	—	2	1	no	—
71	#65857	C₂²	1	1	yes	characteristic, complemented
72	#65856	C₂²	1	1	yes	characteristic
73	#65845	—	2	1	no	—
74	#65844	C₂²	1	1	yes	characteristic
75	#65841	—	2	1	no	—
76	C₂×#4034	C₂²	1	1	yes	characteristic, complemented
77	C₅×#484	C₂²	1	1	yes	characteristic, complemented
78	C₅×#480	C₂²	1	1	yes	characteristic
79	C₅×#477	C₂²	1	1	yes	characteristic, complemented
80	C₅×#474	C₂²	1	1	yes	characteristic, complemented
81	C₅×#464	C₂²	1	1	yes	characteristic
82	C₅×#463	C₂²	1	1	yes	characteristic
83	C₅×#452	C₂²	1	1	yes	characteristic, complemented
84	C₅×#449	C₂²	1	1	yes	characteristic
85	C₅×#440	C₂²	1	1	yes	characteristic
86	C₅×#440	C₂²	1	1	yes	characteristic, complemented
87	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
88	C₄×C₅×D₈	C₂²	1	1	yes	characteristic
89	C₅×#433	C₂²	1	1	yes	characteristic, complemented
90	#65528	C₂²	1	1	yes	characteristic, complemented
91	#65527	C₂²	1	1	yes	characteristic
92	#65479	C₂²	1	1	yes	characteristic
93	#65478	C₂²	1	1	yes	characteristic, complemented
94	#65475	C₂²	1	1	yes	characteristic
95	#65474	C₂²	1	1	yes	characteristic, complemented
96	#65465	C₂²	1	1	yes	characteristic
97	#65460	C₂²	1	1	yes	characteristic
98	#65460	C₂²	1	1	yes	characteristic, complemented
99	#65459	C₂²	1	1	yes	characteristic
100	#65458	C₂²	1	1	yes	characteristic
101	#65456	C₂²	1	1	yes	characteristic
102	#65455	C₂²	1	1	yes	characteristic, complemented
103	#65454	C₂²	1	1	yes	characteristic
104	#65448	C₂²	1	1	yes	characteristic
105	#65445	C₂²	1	1	yes	characteristic
106	#65443	C₂²	1	1	yes	characteristic
107	#65442	C₂²	1	1	yes	characteristic
108	#65380	C₂²	1	1	yes	characteristic, complemented
109	#65376	C₂²	1	1	yes	characteristic, complemented
110	#65346	C₂²	1	1	yes	characteristic
111	#65343	C₂²	1	1	yes	characteristic
112	#65336	C₂²	1	1	yes	characteristic, complemented
113	#65333	C₂²	1	1	yes	characteristic, complemented
114	#65326	C₂²	1	1	yes	characteristic
115	#65322	C₂²	1	1	yes	characteristic
116	#65319	C₂²	1	1	yes	characteristic, complemented
117	C₄×#689	C₂²	1	1	yes	characteristic, complemented
118	#65317	C₂²	1	1	yes	characteristic
119	#65315	C₂²	1	1	yes	characteristic, complemented
120	C₄×#688	C₂²	1	1	yes	characteristic
121	#65309	C₂²	1	1	yes	characteristic, complemented
122	#65307	C₂²	1	1	yes	characteristic
123	C₄×#687	C₂²	1	1	yes	characteristic, complemented
124	#65305	C₂²	1	1	yes	characteristic
125	#65303	C₂²	1	1	yes	characteristic
126	C₄×#686	C₂²	1	1	yes	characteristic
127	#65297	C₂²	1	1	yes	characteristic, complemented
128	#65289	C₂²	1	1	yes	characteristic, complemented
129	#65260	C₂²	1	1	yes	characteristic, complemented
130	#65257	C₂²	1	1	yes	characteristic
131	#65179	C₂²	1	1	yes	characteristic
132	#65179	C₂²	1	1	yes	characteristic
133	#65177	C₂²	1	1	yes	characteristic
134	#65177	C₂²	1	1	yes	characteristic
135	#65176	C₂²	1	1	yes	characteristic, complemented
136	#65175	C₂²	1	1	yes	characteristic
137	#65175	C₂²	1	1	yes	characteristic, complemented
138	#65174	C₂²	1	1	yes	characteristic
139	#65174	C₂²	1	1	yes	characteristic
140	#65172	C₂²	1	1	yes	characteristic
141	#65165	C₂²	1	1	yes	characteristic, complemented
142	#65165	C₂²	1	1	yes	characteristic, complemented
143	#65165	C₂²	1	1	yes	characteristic, complemented
144	#65165	C₂²	1	1	yes	characteristic, complemented
145	#65164	C₂²	1	1	yes	characteristic, complemented
146	#65164	C₂²	1	1	yes	characteristic, complemented
147	#65140	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic
149	#65133	C₂²	1	1	yes	characteristic
150	#65131	C₂²	1	1	yes	characteristic, complemented
151	#65128	C₂²	1	1	yes	characteristic, complemented
152	#65128	C₂²	1	1	yes	characteristic, complemented
153	#65124	C₂²	1	1	yes	characteristic
154	#65124	C₂²	1	1	yes	characteristic
155	#65108	C₂²	1	1	yes	characteristic
156	#65105	C₂²	1	1	yes	characteristic, complemented
157	#65104	C₂²	1	1	yes	characteristic
158	#65104	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic, complemented
160	#65101	C₂²	1	1	yes	characteristic
161	#65097	C₂²	1	1	yes	characteristic
162	#65096	C₂²	1	1	yes	characteristic, complemented
163	#65095	C₂²	1	1	yes	characteristic
164	#65087	C₂²	1	1	yes	characteristic, complemented
165	#65086	C₂²	1	1	yes	characteristic, complemented
166	#65086	C₂²	1	1	yes	characteristic, complemented
167	#65084	C₂²	1	1	yes	characteristic
168	#65084	C₂²	1	1	yes	characteristic
169	#65080	C₂²	1	1	yes	characteristic, complemented
170	#65080	C₂²	1	1	yes	characteristic, complemented
171	#65076	C₂²	1	1	yes	characteristic
172	#65071	C₂²	1	1	yes	characteristic
173	#65069	C₂²	1	1	yes	characteristic, complemented
174	#65068	C₂²	1	1	yes	characteristic
175	#65068	C₂²	1	1	yes	characteristic
176	#65067	C₂²	1	1	yes	characteristic
177	#65065	C₂²	1	1	yes	characteristic
178	#65064	C₂²	1	1	yes	characteristic
179	#65062	C₂²	1	1	yes	characteristic
180	#65056	C₂²	1	1	yes	characteristic, complemented
181	#65054	C₂²	1	1	yes	characteristic
182	#65054	C₂²	1	1	yes	characteristic
183	#65053	C₂²	1	1	yes	characteristic, complemented
184	#65053	C₂²	1	1	yes	characteristic, complemented
185	#65050	C₂²	1	1	yes	characteristic
186	#65050	C₂²	1	1	yes	characteristic
187	#65024	C₂²	1	1	yes	characteristic
188	#65023	C₂²	1	1	yes	characteristic
189	#65022	C₂²	1	1	yes	characteristic, complemented
190	#65016	C₂²	1	1	yes	characteristic
191	#65016	C₂²	1	1	yes	characteristic
192	#65010	C₂²	1	1	yes	characteristic, complemented
193	#65008	C₂²	1	1	yes	characteristic, complemented
194	#65008	C₂²	1	1	yes	characteristic, complemented
195	#65005	C₂²	1	1	yes	characteristic, complemented
196	#65000	C₂²	1	1	yes	characteristic
197	#64998	C₂²	1	1	yes	characteristic
198	D₅×#97	C₂²	1	1	yes	characteristic, complemented
199	C₄×#677	C₂²	1	1	yes	characteristic
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic
202	C₄×#676	C₂²	1	1	yes	characteristic, complemented
203	#61016	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
206	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
207	C₂×#709	—	2	1	no	—
208	C₂×#709	—	2	1	no	—
209	C₂×#709	C₂³	1	1	yes	characteristic
210	C₂×#709	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₀	—	2	1	no	—
212	C₂×C₅×Q₁₆	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×D₈	C₂³	1	1	yes	characteristic
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#124	—	2	1	no	—
219	C₅×#124	C₂³	1	1	yes	characteristic
220	C₅×#123	—	2	1	no	—
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×#121	C₂³	1	1	yes	characteristic
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×D₄	—	2	1	no	—
228	C₄×C₅×D₄	—	2	1	no	—
229	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
232	C₅×#117	—	2	1	no	—
233	C₅×#117	C₂³	1	1	yes	characteristic
234	C₂×C₅×C₄⋊C₄	—	2	1	no	—
235	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	#4093	—	2	1	no	—
237	#4093	C₂³	1	1	yes	characteristic
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	#4092	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	—	2	1	no	—
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	#4090	C₂³	1	1	yes	characteristic
247	C₂×#689	C₂³	1	1	yes	characteristic
248	C₂×#689	C₂³	1	1	yes	characteristic
249	C₂×#688	C₂³	1	1	yes	characteristic
250	C₂×#688	C₂³	1	1	yes	characteristic
251	#4086	—	2	1	no	—
252	#4086	C₂³	1	1	yes	characteristic
253	#4085	—	2	1	no	—
254	#4085	—	2	1	no	—
255	#4085	—	2	1	no	—
256	#4085	—	2	1	no	—
257	#4084	C₂³	1	1	yes	characteristic
258	#4084	C₂³	1	1	yes	characteristic
259	#4084	C₂³	1	1	yes	characteristic
260	#4083	—	2	1	no	—
261	#4082	C₂³	1	1	yes	characteristic
262	#4082	C₂³	1	1	yes	characteristic
263	#4081	—	2	1	no	—
264	D₄×Dic₅	—	2	1	no	—
265	D₄×Dic₅	C₂³	1	1	yes	characteristic
266	C₂×#687	C₂³	1	1	yes	characteristic
267	C₂×#687	C₂³	1	1	yes	characteristic
268	C₂×#686	C₂³	1	1	yes	characteristic
269	C₂×#686	C₂³	1	1	yes	characteristic
270	#4076	—	2	1	no	—
271	#4076	—	2	1	no	—
272	#4076	—	2	1	no	—
273	#4076	C₂³	1	1	yes	characteristic
274	#4075	—	2	1	no	—
275	#4075	—	2	1	no	—
276	C₄×C₂²⋊D₅	—	2	1	no	—
277	C₄×C₂²⋊D₅	—	2	1	no	—
278	C₄×C₂²⋊D₅	—	2	1	no	—
279	C₄×C₂²⋊D₅	—	2	1	no	—
280	C₄×C₂²⋊D₅	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₂×#685	—	2	1	no	—
283	#4072	—	2	1	no	—
284	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
285	#4070	—	2	1	no	—
286	#4070	—	2	1	no	—
287	#4070	—	2	1	no	—
288	#4070	C₂³	1	1	yes	characteristic
289	C₂×#683	—	2	1	no	—
290	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
292	C₂×D₄₀	C₂³	1	1	yes	characteristic
293	C₂×#677	C₂³	1	1	yes	characteristic
294	C₂×#677	C₂³	1	1	yes	characteristic
295	C₂×#676	C₂³	1	1	yes	characteristic
296	C₂×#676	C₂³	1	1	yes	characteristic
297	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
298	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
299	#4044	—	2	1	no	—
300	#4044	—	2	1	no	—
301	#4044	—	2	1	no	—
302	#4044	—	2	1	no	—
303	#4043	—	2	1	no	—
304	#4043	—	2	1	no	—
305	#4043	C₂³	1	1	yes	characteristic
306	#4043	C₂³	1	1	yes	characteristic
307	#4043	C₂³	1	1	yes	characteristic
308	#4042	—	2	1	no	—
309	#4042	—	2	1	no	—
310	#4042	—	2	1	no	—
311	#4042	—	2	1	no	—
312	#4042	—	2	1	no	—
313	#4041	—	2	1	no	—
314	#4041	C₂³	1	1	yes	characteristic
315	#4041	C₂³	1	1	yes	characteristic
316	#4041	C₂³	1	1	yes	characteristic
317	#4040	—	2	1	no	—
318	#4040	—	2	1	no	—
319	#4040	—	2	1	no	—
320	#4040	—	2	1	no	—
321	#4040	—	2	1	no	—
322	#4039	D₄	1	1	yes	characteristic
323	#4039	D₄	1	1	yes	characteristic
324	#4039	C₂³	1	1	yes	characteristic
325	#4038	—	2	1	no	—
326	#4038	—	2	1	no	—
327	#4038	—	2	1	no	—
328	#4038	C₂³	1	1	yes	characteristic
329	#4038	C₂³	1	1	yes	characteristic
330	D₅×C₄⋊C₄	—	2	1	no	—
331	#4036	C₂³	1	1	yes	characteristic
332	#4036	C₂³	1	1	yes	characteristic
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4034	—	2	1	no	—
336	#4034	—	2	1	no	—
337	#4034	—	2	1	no	—
338	#4034	C₂³	1	1	yes	characteristic
339	#4034	C₂³	1	1	yes	characteristic
340	#4034	C₂³	1	1	yes	characteristic
341	#4034	C₂³	1	1	yes	characteristic
342	#4033	—	2	1	no	—
343	#4033	—	2	1	no	—
344	#4033	D₄	1	1	yes	characteristic
345	#4033	D₄	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4032	—	2	1	no	—
348	#4032	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4031	—	2	1	no	—
351	#4031	—	2	1	no	—
352	#4031	—	2	1	no	—
353	#4031	—	2	1	no	—
354	#4031	—	2	1	no	—
355	#4031	—	2	1	no	—
356	#4031	—	2	1	no	—
357	#4031	—	2	1	no	—
358	#4031	—	2	1	no	—
359	#4030	—	2	1	no	—
360	#4030	—	2	1	no	—
361	#4029	—	2	1	no	—
362	#4029	—	2	1	no	—
363	#4029	—	2	1	no	—
364	#4028	—	2	1	no	—
365	#4027	—	2	1	no	—
366	#4027	—	2	1	no	—
367	#4027	—	2	1	no	—
368	#4027	—	2	1	no	—
369	#4027	D₄	1	1	yes	characteristic
370	#4027	D₄	1	1	yes	characteristic
371	#4027	D₄	1	1	yes	characteristic
372	#4027	D₄	1	1	yes	characteristic
373	D₅×C₂²⋊C₄	—	2	1	no	—
374	D₅×C₂²⋊C₄	—	2	1	no	—
375	D₅×C₂²⋊C₄	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	—	2	1	no	—
381	#4024	—	2	1	no	—
382	#4023	—	2	1	no	—
383	#4022	—	2	1	no	—
384	#4022	—	2	1	no	—
385	#4021	—	2	1	no	—
386	#4021	—	2	1	no	—
387	#4021	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	—	2	1	no	—
389	C₄×D₂₀	C₂³	1	1	yes	characteristic
390	C₄×D₂₀	C₂³	1	1	yes	characteristic
391	C₄×D₂₀	C₂³	1	1	yes	characteristic
392	#4018	—	2	1	no	—
393	#4018	—	2	1	no	—
394	#4018	—	2	1	no	—
395	#4018	—	2	1	no	—
396	#4018	C₂³	1	1	yes	characteristic
397	#4018	C₂³	1	1	yes	characteristic
398	C₄²×D₅	C₂³	1	1	yes	characteristic
399	C₄²×D₅	C₂³	1	1	yes	characteristic
400	#4015	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₀	—	2	1	no	—
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
407	C₅×#107	C₂³	1	1	yes	characteristic
408	C₅×#107	C₂³	1	1	yes	characteristic
409	C₅×#107	C₂³	1	1	yes	characteristic
410	C₅×#107	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
422	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	C₂²⋊#168	C₂³	1	1	yes	characteristic
434	C₂²⋊#168	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3952	C₂³	1	1	yes	characteristic
440	#3952	C₂³	1	1	yes	characteristic
441	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3949	C₂³	1	1	yes	characteristic
444	#3949	C₂³	1	1	yes	characteristic
445	#3949	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3947	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3942	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	C₂³	1	1	yes	characteristic
462	#3942	C₂³	1	1	yes	characteristic
463	#3941	C₂³	1	1	yes	characteristic
464	#3941	C₂³	1	1	yes	characteristic
465	#3941	C₂³	1	1	yes	characteristic
466	#3941	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3940	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	C₄×#168	C₂³	1	1	yes	characteristic
479	#3511	—	5	1	no	—
480	#3510	—	5	1	no	—
481	#3263	—	5	1	no	—
482	#3263	—	5	1	no	—
483	#3262	—	5	1	no	—
484	#3262	—	5	1	no	—
485	#3239	—	5	1	no	—
486	#3238	—	5	1	no	—
487	#3237	—	5	1	no	—
488	#3235	—	5	1	no	—
489	#3219	—	5	1	no	—
490	#3219	—	5	1	no	—
491	#3215	—	5	1	no	—
492	#3213	—	5	1	no	—
493	#3201	—	5	1	no	—
494	#3201	—	5	1	no	—
495	#3198	—	5	1	no	—
496	#3198	—	5	1	no	—
497	#3181	—	5	1	no	—
498	#3180	—	5	1	no	—
499	#3172	—	5	1	no	—
500	#3171	—	5	1	no	—
501	#3125	—	5	1	no	—
502	#3125	—	5	1	no	—
503	#3124	—	5	1	no	—
504	#3124	D₅	1	1	yes	characteristic, complemented
505	#3121	—	5	1	no	—
506	#3121	—	5	1	no	—
507	#3118	—	5	1	no	—
508	#3118	—	5	1	no	—
509	#2923	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₅×#41	—	4	1	no	—
512	C₅×#41	—	4	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×D₄	—	2	1	no	—
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₅	—	2	1	no	—
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂×C₂²⋊D₅	—	2	1	no	—
531	C₂×C₂²⋊D₅	—	2	1	no	—
532	C₂×C₂²⋊D₅	—	2	1	no	—
533	C₂×C₂²⋊D₅	—	2	1	no	—
534	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
535	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
536	C₂²×Dic₅	—	2	1	no	—
537	C₂²×Dic₅	—	2	1	no	—
538	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
539	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
540	Q₈×D₅	—	4	1	no	—
541	Q₈×D₅	—	4	1	no	—
542	D₄×D₅	—	4	1	no	—
543	D₄×D₅	—	4	1	no	—
544	#709	—	4	1	no	—
545	#709	—	4	1	no	—
546	#709	—	4	1	no	—
547	#709	—	4	1	no	—
548	#709	—	8	2	no	—
549	#709	—	8	2	no	—
550	C₂×D₂₀	—	2	1	no	—
551	C₂×D₂₀	—	2	1	no	—
552	C₂×D₂₀	—	2	1	no	—
553	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
554	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
555	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
565	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
567	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	—	2	1	no	—
573	C₂×Dic₁₀	—	2	1	no	—
574	C₂×Dic₁₀	—	8	2	no	—
575	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
576	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
577	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
578	C₅×Q₁₆	—	4	1	no	—
579	C₅×SD₁₆	—	4	1	no	—
580	C₅×SD₁₆	—	4	1	no	—
581	C₅×D₈	—	4	1	no	—
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
593	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
594	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
595	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
596	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
597	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
598	C₅×C₂²⋊C₄	—	2	1	no	—
599	C₅×C₂²⋊C₄	—	2	1	no	—
600	C₅×C₂²⋊C₄	—	2	1	no	—
601	C₅×C₂²⋊C₄	—	2	1	no	—
602	C₅×C₂²⋊C₄	—	2	1	no	—
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
606	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
607	C₄²×C₅	—	2	1	no	—
608	C₄²×C₅	—	2	1	no	—
609	C₄²×C₅	—	2	1	no	—
610	C₄²×C₅	C₂⁴	1	1	yes	characteristic
611	C₄²×C₅	C₂⁴	1	1	yes	characteristic
612	C₂²⋊Dic₅	—	2	1	no	—
613	C₂²⋊Dic₅	—	2	1	no	—
614	C₂²⋊Dic₅	—	2	1	no	—
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	#689	—	4	1	no	—
622	#689	—	4	1	no	—
623	#688	—	4	1	no	—
624	#688	—	4	1	no	—
625	#687	—	4	1	no	—
626	#687	—	4	1	no	—
627	#686	—	4	1	no	—
628	#686	—	4	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
652	#685	C₂×D₄	1	1	yes	characteristic
653	#685	C₂×D₄	1	1	yes	characteristic
654	#685	C₂×D₄	1	1	yes	characteristic
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	—	2	1	no	—
658	C₄⋊Dic₅	—	2	1	no	—
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
698	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
699	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
700	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
701	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	C₂×#168	C₂⁴	1	1	yes	characteristic
705	C₂×#168	C₂⁴	1	1	yes	characteristic
706	Dic₂₀	—	4	1	no	—
707	D₄₀	—	4	1	no	—
708	#677	—	4	1	no	—
709	#677	—	4	1	no	—
710	#676	—	4	1	no	—
711	#676	—	4	1	no	—
712	C₈×D₅	—	4	1	no	—
713	C₈×D₅	—	4	1	no	—
714	#559	—	10	1	no	—
715	#559	—	10	1	no	—
716	#556	—	10	1	no	—
717	#556	—	10	1	no	—
718	#556	—	10	1	no	—
719	#555	—	10	1	no	—
720	#554	—	10	1	no	—
721	#553	—	10	1	no	—
722	#553	—	10	1	no	—
723	#551	—	10	1	no	—
724	#551	—	10	1	no	—
725	#551	—	10	1	no	—
726	#551	—	10	1	no	—
727	#548	—	10	1	no	—
728	#548	—	10	1	no	—
729	#547	—	10	1	no	—
730	#542	—	5	1	no	—
731	#542	—	5	1	no	—
732	#542	—	5	1	no	—
733	#542	—	5	1	no	—
734	#542	—	5	1	no	—
735	#542	—	5	1	no	—
736	#542	—	5	1	no	—
737	#542	C₂×D₅	1	1	yes	characteristic
738	#537	—	5	1	no	—
739	#537	—	5	1	no	—
740	#536	—	5	1	no	—
741	#535	—	5	1	no	—
742	#533	—	5	1	no	—
743	#533	—	5	1	no	—
744	#533	—	5	1	no	—
745	#532	—	5	1	no	—
746	#532	—	5	1	no	—
747	#532	—	5	1	no	—
748	C₂×C₄⋊Q₈	—	5	1	no	—
749	#529	—	5	1	no	—
750	#529	—	5	1	no	—
751	#529	—	5	1	no	—
752	#529	—	5	1	no	—
753	C₂×#124	—	5	1	no	—
754	#520	—	5	1	no	—
755	#520	C₂×D₅	1	1	yes	characteristic, complemented
756	#519	—	5	1	no	—
757	#518	—	5	1	no	—
758	C₄×#41	—	5	1	no	—
759	#501	—	5	1	no	—
760	#501	—	5	1	no	—
761	#501	—	5	1	no	—
762	#501	—	5	1	no	—
763	#497	—	5	1	no	—
764	#497	—	5	1	no	—
765	#496	—	5	1	no	—
766	#496	—	5	1	no	—
767	#491	—	5	1	no	—
768	#491	—	5	1	no	—
769	#490	—	5	1	no	—
770	#490	—	5	1	no	—
771	#489	—	5	1	no	—
772	#489	—	5	1	no	—
773	#489	—	5	1	no	—
774	#489	—	5	1	no	—
775	#485	—	5	1	no	—
776	#485	—	5	1	no	—
777	#485	—	5	1	no	—
778	#485	—	5	1	no	—
779	#484	—	5	1	no	—
780	#484	C₂×D₅	1	1	yes	characteristic, complemented
781	#483	—	5	1	no	—
782	#483	—	5	1	no	—
783	#482	—	5	1	no	—
784	#482	—	5	1	no	—
785	#482	—	5	1	no	—
786	#482	—	5	1	no	—
787	#481	—	5	1	no	—
788	#481	—	5	1	no	—
789	#480	—	5	1	no	—
790	#480	C₂×D₅	1	1	yes	characteristic
791	#477	—	5	1	no	—
792	#477	—	5	1	no	—
793	#477	—	5	1	no	—
794	#477	C₂×D₅	1	1	yes	characteristic, complemented
795	#476	—	5	1	no	—
796	#476	—	5	1	no	—
797	#476	—	5	1	no	—
798	#476	—	5	1	no	—
799	#475	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#475	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	C₂×D₅	1	1	yes	characteristic, complemented
807	#470	—	5	1	no	—
808	#470	—	5	1	no	—
809	#469	—	5	1	no	—
810	#469	—	5	1	no	—
811	#468	—	5	1	no	—
812	#468	—	5	1	no	—
813	#468	—	5	1	no	—
814	#468	—	5	1	no	—
815	#467	—	5	1	no	—
816	#467	—	5	1	no	—
817	#466	—	5	1	no	—
818	#466	—	5	1	no	—
819	#465	—	5	1	no	—
820	#465	—	5	1	no	—
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#464	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	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	C₂×D₅	1	1	yes	characteristic
831	#463	—	5	1	no	—
832	#463	—	5	1	no	—
833	#463	—	5	1	no	—
834	#463	—	5	1	no	—
835	#463	—	5	1	no	—
836	#463	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	C₂×D₅	1	1	yes	characteristic
839	#452	—	5	1	no	—
840	#452	—	5	1	no	—
841	#452	—	5	1	no	—
842	#452	C₂×D₅	1	1	yes	characteristic, complemented
843	#451	—	5	1	no	—
844	#451	—	5	1	no	—
845	#450	—	5	1	no	—
846	#450	—	5	1	no	—
847	#449	—	5	1	no	—
848	#449	—	5	1	no	—
849	#449	—	5	1	no	—
850	#449	C₂×D₅	1	1	yes	characteristic
851	#448	—	5	1	no	—
852	#448	—	5	1	no	—
853	#447	—	5	1	no	—
854	#447	—	5	1	no	—
855	#442	—	5	1	no	—
856	#442	—	5	1	no	—
857	#441	—	5	1	no	—
858	#441	—	5	1	no	—
859	#440	—	5	1	no	—
860	#440	—	5	1	no	—
861	#440	C₂×D₅	1	1	yes	characteristic
862	#440	C₂×D₅	1	1	yes	characteristic, complemented
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
865	C₄×SD₁₆	—	5	1	no	—
866	C₄×SD₁₆	—	5	1	no	—
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×D₈	—	5	1	no	—
870	C₄×D₈	C₂×D₅	1	1	yes	characteristic
871	#433	—	5	1	no	—
872	#433	—	5	1	no	—
873	#433	—	5	1	no	—
874	#433	C₂×D₅	1	1	yes	characteristic, complemented
875	#432	—	5	1	no	—
876	#432	—	5	1	no	—
877	#432	—	5	1	no	—
878	#432	—	5	1	no	—
879	#424	—	5	1	no	—
880	#424	—	5	1	no	—
881	#408	—	5	1	no	—
882	#408	—	5	1	no	—
883	C₄×M₁₆	—	5	1	no	—
884	C₂×#97	—	5	1	no	—
885	C₂³×C₅	—	2	1	no	—
886	C₂³×C₅	—	2	1	no	—
887	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
888	C₂²×D₅	—	2	1	no	—
889	C₂²×D₅	—	2	1	no	—
890	C₂²×D₅	—	4	2	no	—
891	C₂²×D₅	—	8	1	no	—
892	C₂²×D₅	—	8	1	no	—
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
894	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	8	1	no	—
900	C₅×D₄	—	2	1	no	—
901	C₅×D₄	—	2	1	no	—
902	C₅×D₄	—	2	1	no	—
903	C₅×D₄	—	2	1	no	—
904	C₅×D₄	—	4	2	no	—
905	C₅×D₄	—	8	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	4	2	no	—
915	C₂×C₄×C₅	—	8	1	no	—
916	C₂×C₄×C₅	—	8	1	no	—
917	C₂×C₄×C₅	—	8	1	no	—
918	C₂×C₄×C₅	—	8	1	no	—
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
923	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
924	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
925	C₂²⋊D₅	—	4	1	no	—
926	C₂²⋊D₅	—	4	1	no	—
927	C₂²⋊D₅	—	4	2	no	—
928	C₂²⋊D₅	—	4	2	no	—
929	C₂²⋊D₅	—	4	2	no	—
930	C₂²⋊D₅	—	4	2	no	—
931	C₂²⋊D₅	—	8	1	no	—
932	C₂²⋊D₅	—	8	1	no	—
933	C₂²⋊D₅	—	8	1	no	—
934	C₂²⋊D₅	—	8	1	no	—
935	C₂×Dic₅	—	2	1	no	—
936	C₂×Dic₅	—	2	1	no	—
937	C₂×Dic₅	—	2	1	no	—
938	C₂×Dic₅	—	2	1	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	4	1	no	—
942	C₂×Dic₅	—	4	1	no	—
943	C₂×Dic₅	—	8	1	no	—
944	C₂×Dic₅	—	8	1	no	—
945	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	D₂₀	—	2	1	no	—
952	D₂₀	—	2	1	no	—
953	D₂₀	—	2	1	no	—
954	D₂₀	—	2	1	no	—
955	D₂₀	—	4	1	no	—
956	D₂₀	—	8	1	no	—
957	D₂₀	—	8	1	no	—
958	D₂₀	—	8	1	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	2	1	no	—
962	C₄×D₅	—	2	1	no	—
963	C₄×D₅	—	4	1	no	—
964	C₄×D₅	—	4	1	no	—
965	C₄×D₅	—	4	1	no	—
966	C₄×D₅	—	4	1	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	4	2	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	—	8	1	no	—
973	Dic₁₀	—	2	1	no	—
974	Dic₁₀	—	2	1	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	2	1	no	—
977	Dic₁₀	—	4	1	no	—
978	Dic₁₀	—	4	2	no	—
979	Dic₁₀	—	4	2	no	—
980	Dic₁₀	—	4	2	no	—
981	Dic₁₀	—	8	1	no	—
982	Dic₁₀	—	8	1	no	—
983	Dic₁₀	—	8	1	no	—
984	C₅×C₈	—	2	1	no	—
985	C₅×C₈	—	2	1	no	—
986	C₅×C₈	—	2	1	no	—
987	C₅×C₈	—	2	1	no	—
988	#168	—	2	1	no	—
989	#168	—	2	1	no	—
990	#168	—	2	1	no	—
991	#168	—	2	1	no	—
992	C₂×#41	—	5	1	no	—
993	C₂×#41	—	5	1	no	—
994	C₂×#41	—	10	1	no	—
995	C₂×#41	—	10	1	no	—
996	C₂×#41	C₂²×D₅	1	1	yes	characteristic
997	C₂²×Q₈	—	5	1	no	—
998	C₂²×Q₈	—	10	1	no	—
999	C₂²×D₄	—	5	1	no	—
1000	C₂×Q₁₆	—	5	1	no	—
1001	C₂×Q₁₆	—	5	1	no	—
1002	C₂×Q₁₆	—	5	1	no	—
1003	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1004	C₂×SD₁₆	—	5	1	no	—
1005	C₂×SD₁₆	—	5	1	no	—
1006	C₂×SD₁₆	—	5	1	no	—
1007	C₂×SD₁₆	—	5	1	no	—
1008	C₂×SD₁₆	—	5	1	no	—
1009	C₂×SD₁₆	—	5	1	no	—
1010	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1011	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1012	C₂×D₈	—	5	1	no	—
1013	C₂×D₈	—	5	1	no	—
1014	C₂×D₈	—	5	1	no	—
1015	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1016	C₂×M₁₆	—	5	1	no	—
1017	C₂×M₁₆	—	5	1	no	—
1018	C₂²×C₈	—	5	1	no	—
1019	C₂²×C₈	—	5	1	no	—
1020	C₄⋊Q₈	—	5	1	no	—
1021	C₄⋊Q₈	—	5	1	no	—
1022	C₄⋊Q₈	—	5	1	no	—
1023	C₄⋊Q₈	—	5	1	no	—
1024	C₄⋊Q₈	—	5	1	no	—
1025	C₄⋊Q₈	—	5	1	no	—
1026	C₄⋊Q₈	—	10	1	no	—
1027	C₄⋊Q₈	—	10	1	no	—
1028	C₄⋊Q₈	—	10	1	no	—
1029	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1030	#127	—	5	1	no	—
1031	#127	—	10	1	no	—
1032	#126	—	2	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#126	—	10	1	no	—
1040	#126	—	10	1	no	—
1041	#126	—	10	1	no	—
1042	#126	—	10	1	no	—
1043	#126	—	10	1	no	—
1044	#125	—	5	1	no	—
1045	#125	—	5	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#124	—	2	1	no	—
1049	#124	—	5	1	no	—
1050	#124	—	5	1	no	—
1051	#124	—	5	1	no	—
1052	#124	—	5	1	no	—
1053	#124	—	5	1	no	—
1054	#124	—	10	1	no	—
1055	#124	—	10	1	no	—
1056	#124	—	10	1	no	—
1057	#124	—	10	1	no	—
1058	#124	—	10	1	no	—
1059	#124	—	10	1	no	—
1060	#124	—	10	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	—	10	1	no	—
1067	#124	C₂²×D₅	1	1	yes	characteristic
1068	#123	—	2	1	no	—
1069	#123	—	10	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	#123	—	10	1	no	—
1078	#123	—	10	1	no	—
1079	#123	—	10	1	no	—
1080	#123	—	10	1	no	—
1081	#123	—	10	1	no	—
1082	C₂²⋊Q₈	—	2	1	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	5	1	no	—
1086	C₂²⋊Q₈	—	5	1	no	—
1087	C₂²⋊Q₈	—	5	1	no	—
1088	C₂²⋊Q₈	—	5	1	no	—
1089	C₂²⋊Q₈	—	5	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	—	10	1	no	—
1102	C₂²⋊Q₈	—	10	1	no	—
1103	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1104	#121	—	5	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	5	1	no	—
1109	#121	—	5	1	no	—
1110	#121	—	5	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	—	10	1	no	—
1116	#121	—	10	1	no	—
1117	#121	—	10	1	no	—
1118	#121	—	10	1	no	—
1119	#121	—	10	1	no	—
1120	#121	—	10	1	no	—
1121	#121	C₂²×D₅	1	1	yes	characteristic
1122	#120	—	10	1	no	—
1123	#120	—	10	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	1	no	—
1127	C₄×Q₈	—	5	1	no	—
1128	C₄×Q₈	—	5	1	no	—
1129	C₄×Q₈	—	5	1	no	—
1130	C₄×Q₈	—	5	1	no	—
1131	C₄×Q₈	—	10	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	—	10	1	no	—
1134	C₄×Q₈	—	10	1	no	—
1135	C₄×Q₈	—	10	1	no	—
1136	C₄×Q₈	—	10	1	no	—
1137	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1138	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	5	1	no	—
1148	C₄×D₄	—	5	1	no	—
1149	C₄×D₄	—	5	1	no	—
1150	C₄×D₄	—	5	1	no	—
1151	C₄×D₄	—	5	1	no	—
1152	C₄×D₄	—	5	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	—	10	1	no	—
1163	C₄×D₄	—	10	1	no	—
1164	C₄×D₄	—	10	1	no	—
1165	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1166	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1167	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1168	#117	—	2	1	no	—
1169	#117	—	5	1	no	—
1170	#117	—	5	1	no	—
1171	#117	—	5	1	no	—
1172	#117	—	5	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	—	10	1	no	—
1178	#117	—	10	1	no	—
1179	#117	—	10	1	no	—
1180	#117	—	10	1	no	—
1181	#117	—	10	1	no	—
1182	#117	C₂²×D₅	1	1	yes	characteristic
1183	C₂×C₄⋊C₄	—	2	1	no	—
1184	C₂×C₄⋊C₄	—	5	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1188	C₂×C₂²⋊C₄	—	10	1	no	—
1189	C₂×C₂²⋊C₄	—	10	1	no	—
1190	C₂×C₂²⋊C₄	—	10	1	no	—
1191	C₂×C₂²⋊C₄	—	10	1	no	—
1192	C₂×C₄²	—	5	1	no	—
1193	C₂×C₄²	—	5	1	no	—
1194	C₂×C₄²	—	5	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	—	5	1	no	—
1199	#107	C₂²×D₅	1	1	yes	characteristic
1200	#107	C₂²×D₅	1	1	yes	characteristic
1201	#107	C₂²×D₅	1	1	yes	characteristic
1202	#107	C₂²×D₅	1	1	yes	characteristic
1203	#106	—	5	1	no	—
1204	#106	—	5	1	no	—
1205	#106	—	5	1	no	—
1206	#106	—	5	1	no	—
1207	#106	—	5	1	no	—
1208	#106	—	5	1	no	—
1209	#106	—	5	1	no	—
1210	#106	—	5	1	no	—
1211	C₄⋊C₈	—	5	1	no	—
1212	C₄⋊C₈	—	5	1	no	—
1213	C₄⋊C₈	—	5	1	no	—
1214	C₄⋊C₈	—	5	1	no	—
1215	C₄⋊C₈	—	5	1	no	—
1216	C₄⋊C₈	—	5	1	no	—
1217	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1218	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#103	C₂²×D₅	1	1	yes	characteristic
1234	#103	C₂²×D₅	1	1	yes	characteristic
1235	#102	—	5	1	no	—
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	—	5	1	no	—
1243	#102	—	5	1	no	—
1244	#102	—	5	1	no	—
1245	#102	—	5	1	no	—
1246	#102	—	5	1	no	—
1247	#102	C₂²×D₅	1	1	yes	characteristic
1248	#102	C₂²×D₅	1	1	yes	characteristic
1249	#102	C₂²×D₅	1	1	yes	characteristic
1250	#102	C₂²×D₅	1	1	yes	characteristic
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	C₂²⋊C₈	—	5	1	no	—
1254	C₂²⋊C₈	—	5	1	no	—
1255	C₂²⋊C₈	—	5	1	no	—
1256	C₂²⋊C₈	—	5	1	no	—
1257	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1259	#97	—	5	1	no	—
1260	#97	—	5	1	no	—
1261	#97	—	5	1	no	—
1262	#97	—	5	1	no	—
1263	#97	—	5	1	no	—
1264	#97	C₂²×D₅	1	1	yes	characteristic
1265	C₄×C₈	—	5	1	no	—
1266	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1267	C₂²×C₅	—	2	1	no	—
1268	C₂²×C₅	—	2	1	no	—
1269	C₂²×C₅	—	2	1	no	—
1270	C₂²×C₅	—	4	1	no	—
1271	C₂²×C₅	—	4	1	no	—
1272	C₂²×C₅	—	4	1	no	—
1273	C₂²×C₅	—	4	1	no	—
1274	C₂²×C₅	—	4	1	no	—
1275	C₂²×C₅	—	4	1	no	—
1276	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1277	C₂×D₅	—	2	1	no	—
1278	C₂×D₅	—	2	1	no	—
1279	C₂×D₅	—	2	1	no	—
1280	C₂×D₅	—	2	1	no	—
1281	C₂×D₅	—	2	1	no	—
1282	C₂×D₅	—	2	1	no	—
1283	C₂×D₅	—	4	1	no	—
1284	C₂×D₅	—	4	1	no	—
1285	C₂×D₅	—	4	1	no	—
1286	C₂×D₅	—	4	1	no	—
1287	C₂×D₅	—	4	1	no	—
1288	C₂×D₅	—	4	1	no	—
1289	C₂×D₅	—	16	2	no	—
1290	C₄×C₅	—	2	1	no	—
1291	C₄×C₅	—	2	1	no	—
1292	C₄×C₅	—	2	1	no	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	2	1	no	—
1295	C₄×C₅	—	4	1	no	—
1296	C₄×C₅	—	4	1	no	—
1297	C₄×C₅	—	4	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	—	4	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	#585	1	1	yes	characteristic
1302	C₄×C₅	#585	1	1	yes	characteristic
1303	Dic₅	—	2	1	no	—
1304	Dic₅	—	2	1	no	—
1305	Dic₅	—	2	1	no	—
1306	Dic₅	—	2	1	no	—
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	4	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	C₂⁴	—	10	1	no	—
1316	#41	—	4	1	no	—
1317	#41	—	4	1	no	—
1318	#41	—	20	1	no	—
1319	#41	—	20	1	no	—
1320	#41	—	20	1	no	—
1321	#41	—	20	1	no	—
1322	#41	—	40	2	no	—
1323	#41	—	40	2	no	—
1324	C₂×Q₈	—	2	1	no	—
1325	C₂×Q₈	—	5	1	no	—
1326	C₂×Q₈	—	5	1	no	—
1327	C₂×Q₈	—	5	1	no	—
1328	C₂×Q₈	—	10	1	no	—
1329	C₂×Q₈	—	10	1	no	—
1330	C₂×Q₈	—	10	1	no	—
1331	C₂×Q₈	—	10	1	no	—
1332	C₂×Q₈	—	10	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	—	20	1	no	—
1335	C₂×Q₈	—	20	1	no	—
1336	C₂×Q₈	—	40	2	no	—
1337	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1338	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1339	C₂×D₄	—	2	1	no	—
1340	C₂×D₄	—	2	1	no	—
1341	C₂×D₄	—	5	1	no	—
1342	C₂×D₄	—	5	1	no	—
1343	C₂×D₄	—	5	1	no	—
1344	C₂×D₄	—	5	1	no	—
1345	C₂×D₄	—	5	1	no	—
1346	C₂×D₄	—	10	1	no	—
1347	C₂×D₄	—	10	1	no	—
1348	C₂×D₄	—	10	1	no	—
1349	C₂×D₄	—	10	1	no	—
1350	C₂×D₄	—	10	1	no	—
1351	C₂×D₄	—	10	1	no	—
1352	C₂×D₄	—	10	1	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	20	1	no	—
1358	C₂×D₄	—	20	1	no	—
1359	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1360	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	2	1	no	—
1363	C₂²×C₄	—	2	1	no	—
1364	C₂²×C₄	—	2	1	no	—
1365	C₂²×C₄	—	2	1	no	—
1366	C₂²×C₄	—	5	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	5	1	no	—
1371	C₂²×C₄	—	5	1	no	—
1372	C₂²×C₄	—	5	1	no	—
1373	C₂²×C₄	—	5	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1383	Q₁₆	—	4	1	no	—
1384	Q₁₆	—	20	1	no	—
1385	Q₁₆	—	20	1	no	—
1386	Q₁₆	—	20	1	no	—
1387	SD₁₆	—	4	1	no	—
1388	SD₁₆	—	4	1	no	—
1389	SD₁₆	—	20	1	no	—
1390	SD₁₆	—	20	1	no	—
1391	SD₁₆	—	20	1	no	—
1392	SD₁₆	—	20	1	no	—
1393	SD₁₆	—	20	1	no	—
1394	SD₁₆	—	20	1	no	—
1395	D₈	—	4	1	no	—
1396	D₈	—	20	1	no	—
1397	D₈	—	20	1	no	—
1398	D₈	—	20	1	no	—
1399	M₁₆	—	20	1	no	—
1400	M₁₆	—	20	1	no	—
1401	C₂×C₈	—	5	1	no	—
1402	C₂×C₈	—	5	1	no	—
1403	C₂×C₈	—	5	1	no	—
1404	C₂×C₈	—	5	1	no	—
1405	C₂×C₈	—	20	1	no	—
1406	C₂×C₈	—	20	1	no	—
1407	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1408	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1409	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1410	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	5	1	no	—
1421	C₄⋊C₄	—	5	1	no	—
1422	C₄⋊C₄	—	5	1	no	—
1423	C₄⋊C₄	—	5	1	no	—
1424	C₄⋊C₄	—	5	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1450	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1451	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1452	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1453	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1454	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	5	1	no	—
1463	C₂²⋊C₄	—	5	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	—	10	1	no	—
1483	C₂²⋊C₄	—	10	1	no	—
1484	C₂²⋊C₄	—	10	1	no	—
1485	C₂²⋊C₄	—	10	1	no	—
1486	C₂²⋊C₄	—	10	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1498	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1499	C₄²	—	2	1	no	—
1500	C₄²	—	2	1	no	—
1501	C₄²	—	2	1	no	—
1502	C₄²	—	5	1	no	—
1503	C₄²	—	5	1	no	—
1504	C₄²	—	5	1	no	—
1505	C₄²	—	5	1	no	—
1506	C₄²	—	5	1	no	—
1507	C₄²	—	5	1	no	—
1508	C₄²	—	5	1	no	—
1509	C₄²	—	5	1	no	—
1510	C₄²	—	10	1	no	—
1511	C₄²	—	10	1	no	—
1512	C₄²	—	10	1	no	—
1513	C₄²	—	10	1	no	—
1514	C₄²	—	10	1	no	—
1515	C₄²	—	10	1	no	—
1516	C₄²	—	10	1	no	—
1517	C₄²	C₂³×D₅	1	1	yes	characteristic
1518	C₄²	C₂³×D₅	1	1	yes	characteristic
1519	C₂×C₅	—	4	1	no	—
1520	C₂×C₅	—	8	1	no	—
1521	C₂×C₅	—	8	1	no	—
1522	C₂×C₅	#3449	1	1	yes	characteristic
1523	C₂×C₅	#3585	1	1	yes	characteristic
1524	C₂×C₅	#3586	1	1	yes	characteristic
1525	D₅	—	4	1	no	—
1526	D₅	—	4	1	no	—
1527	D₅	—	8	1	no	—
1528	D₅	—	8	1	no	—
1529	C₂³	—	2	1	no	—
1530	C₂³	—	2	1	no	—
1531	C₂³	—	5	1	no	—
1532	C₂³	—	5	1	no	—
1533	C₂³	—	10	1	no	—
1534	C₂³	—	10	1	no	—
1535	C₂³	—	20	2	no	—
1536	C₂³	—	40	1	no	—
1537	C₂³	—	40	1	no	—
1538	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1539	Q₈	—	2	1	no	—
1540	Q₈	—	2	1	no	—
1541	Q₈	—	2	1	no	—
1542	Q₈	—	2	1	no	—
1543	Q₈	—	8	1	no	—
1544	Q₈	—	10	1	no	—
1545	Q₈	—	10	1	no	—
1546	Q₈	—	10	1	no	—
1547	Q₈	—	10	1	no	—
1548	Q₈	—	20	1	no	—
1549	Q₈	—	20	2	no	—
1550	Q₈	—	20	2	no	—
1551	Q₈	—	20	2	no	—
1552	Q₈	—	40	1	no	—
1553	Q₈	—	40	1	no	—
1554	Q₈	—	40	1	no	—
1555	D₄	—	2	1	no	—
1556	D₄	—	2	1	no	—
1557	D₄	—	2	1	no	—
1558	D₄	—	2	1	no	—
1559	D₄	—	4	2	no	—
1560	D₄	—	8	1	no	—
1561	D₄	—	10	1	no	—
1562	D₄	—	10	1	no	—
1563	D₄	—	10	1	no	—
1564	D₄	—	10	1	no	—
1565	D₄	—	20	1	no	—
1566	D₄	—	20	1	no	—
1567	D₄	—	20	1	no	—
1568	D₄	—	20	2	no	—
1569	D₄	—	20	2	no	—
1570	D₄	—	20	2	no	—
1571	D₄	—	20	2	no	—
1572	D₄	—	40	1	no	—
1573	D₄	—	40	1	no	—
1574	D₄	—	40	1	no	—
1575	D₄	—	40	1	no	—
1576	D₄	—	40	1	no	—
1577	D₄	—	40	1	no	—
1578	D₄	—	40	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	4	2	no	—
1588	C₂×C₄	—	5	1	no	—
1589	C₂×C₄	—	5	1	no	—
1590	C₂×C₄	—	5	1	no	—
1591	C₂×C₄	—	5	1	no	—
1592	C₂×C₄	—	5	1	no	—
1593	C₂×C₄	—	5	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	—	8	1	no	—
1596	C₂×C₄	—	8	1	no	—
1597	C₂×C₄	—	8	1	no	—
1598	C₂×C₄	—	10	1	no	—
1599	C₂×C₄	—	10	1	no	—
1600	C₂×C₄	—	10	1	no	—
1601	C₂×C₄	—	10	1	no	—
1602	C₂×C₄	—	10	1	no	—
1603	C₂×C₄	—	10	1	no	—
1604	C₂×C₄	—	10	1	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	10	1	no	—
1607	C₂×C₄	—	10	1	no	—
1608	C₂×C₄	—	20	1	no	—
1609	C₂×C₄	—	20	1	no	—
1610	C₂×C₄	—	20	1	no	—
1611	C₂×C₄	—	20	1	no	—
1612	C₂×C₄	—	20	2	no	—
1613	C₂×C₄	—	20	2	no	—
1614	C₂×C₄	—	20	1	no	—
1615	C₂×C₄	—	20	1	no	—
1616	C₂×C₄	—	40	1	no	—
1617	C₂×C₄	—	40	1	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	—	40	1	no	—
1622	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1623	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1628	C₈	—	2	1	no	—
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	2	1	no	—
1632	C₈	—	10	1	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	—	10	1	no	—
1636	C₅	#61016	1	1	yes	characteristic, complemented, Sylow
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	4	1	no	—
1645	C₂²	—	4	1	no	—
1646	C₂²	—	10	1	no	—
1647	C₂²	—	10	1	no	—
1648	C₂²	—	10	1	no	—
1649	C₂²	—	10	1	no	—
1650	C₂²	—	10	1	no	—
1651	C₂²	—	10	1	no	—
1652	C₂²	—	20	1	no	—
1653	C₂²	—	20	1	no	—
1654	C₂²	—	20	1	no	—
1655	C₂²	—	20	1	no	—
1656	C₂²	—	20	1	no	—
1657	C₂²	—	20	1	no	—
1658	C₂²	—	80	2	no	—
1659	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1660	C₄	—	2	1	no	—
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	—	4	1	no	—
1669	C₄	—	4	1	no	—
1670	C₄	—	4	1	no	—
1671	C₄	—	10	1	no	—
1672	C₄	—	10	1	no	—
1673	C₄	—	10	1	no	—
1674	C₄	—	10	1	no	—
1675	C₄	—	10	1	no	—
1676	C₄	—	10	1	no	—
1677	C₄	—	20	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	—	20	1	no	—
1680	C₄	—	20	1	no	—
1681	C₄	—	20	1	no	—
1682	C₄	—	20	1	no	—
1683	C₄	#66283	1	1	yes	characteristic
1684	C₄	#66283	1	1	yes	characteristic
1685	C₂	—	4	1	no	—
1686	C₂	—	8	1	no	—
1687	C₂	—	8	1	no	—
1688	C₂	—	20	1	no	—
1689	C₂	—	20	1	no	—
1690	C₂	—	40	1	no	—
1691	C₂	—	40	1	no	—
1692	C₂	#10617936	1	1	yes	characteristic
1693	C₂	#10619105	1	1	yes	characteristic
1694	C₂	#10619112	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×#3124	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3124	D₅
hypocenter	C₅	#61016
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3124

Complements

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

N	H ≅ G/N	type
1. #10618453	C₂	semidirect
2. #10617794	C₂	semidirect
3. C₅×#3124	C₂	semidirect
4. #10615192	C₂	semidirect
5. #10614307	C₂	semidirect
6. #10613203	C₂	semidirect
7. #10613190	C₂	semidirect
8. #10613018	C₂	semidirect
9. #10613008	C₂	semidirect
10. #10612864	C₂	semidirect
11. #10612845	C₂	semidirect
12. #10612710	C₂	semidirect
13. #10612702	C₂	semidirect
14. #10612357	C₂	semidirect
15. #10612337	C₂	semidirect
16. #10612282	C₂	semidirect
17. #10612273	C₂	semidirect
18. #10611968	C₂	semidirect
19. #10611954	C₂	semidirect
20. #10611825	C₂	semidirect
21. #10611810	C₂	semidirect
22. #10611545	C₂	semidirect
23. #10611522	C₂	semidirect
24. #10611521	C₂	semidirect
25. #10611516	C₂	semidirect
26. #10611481	C₂	semidirect
27. #10611457	C₂	semidirect
28. #10611330	C₂	semidirect
29. #10611325	C₂	semidirect
30. #10611120	C₂	semidirect
31. #10611104	C₂	semidirect
33. C₅×#520	C₂²	semidirect
35. #66166	C₂²	semidirect
53. #65916	C₂²	semidirect
56. #65912	C₂²	semidirect
59. #65895	C₂²	semidirect
64. #65882	C₂²	semidirect
71. #65857	C₂²	semidirect
76. C₂×#4034	C₂²	semidirect
77. C₅×#484	C₂²	semidirect
79. C₅×#477	C₂²	semidirect
80. C₅×#474	C₂²	semidirect
83. C₅×#452	C₂²	semidirect
86. C₅×#440	C₂²	semidirect
87. C₄×C₅×Q₁₆	C₂²	semidirect
89. C₅×#433	C₂²	semidirect
90. #65528	C₂²	semidirect
93. #65478	C₂²	semidirect
95. #65474	C₂²	semidirect
98. #65460	C₂²	semidirect
102. #65455	C₂²	semidirect
108. #65380	C₂²	semidirect
109. #65376	C₂²	semidirect
112. #65336	C₂²	semidirect
113. #65333	C₂²	semidirect
116. #65319	C₂²	semidirect
117. C₄×#689	C₂²	semidirect
119. #65315	C₂²	semidirect
121. #65309	C₂²	semidirect
123. C₄×#687	C₂²	semidirect
127. #65297	C₂²	semidirect
128. #65289	C₂²	semidirect
129. #65260	C₂²	semidirect
135. #65176	C₂²	semidirect
137. #65175	C₂²	semidirect
141. #65165	C₂²	semidirect
142. #65165	C₂²	semidirect
143. #65165	C₂²	semidirect
144. #65165	C₂²	semidirect
145. #65164	C₂²	semidirect
146. #65164	C₂²	semidirect
147. #65140	C₂²	semidirect
150. #65131	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
156. #65105	C₂²	semidirect
159. #65102	C₂²	semidirect
162. #65096	C₂²	semidirect
164. #65087	C₂²	semidirect
165. #65086	C₂²	semidirect
166. #65086	C₂²	semidirect
169. #65080	C₂²	semidirect
170. #65080	C₂²	semidirect
173. #65069	C₂²	semidirect
180. #65056	C₂²	semidirect
183. #65053	C₂²	semidirect
184. #65053	C₂²	semidirect
189. #65022	C₂²	semidirect
192. #65010	C₂²	semidirect
193. #65008	C₂²	semidirect
194. #65008	C₂²	semidirect
195. #65005	C₂²	semidirect
198. D₅×#97	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
202. C₄×#676	C₂²	semidirect
504. #3124	D₅	semidirect
755. #520	C₂×D₅	semidirect
780. #484	C₂×D₅	semidirect
794. #477	C₂×D₅	semidirect
806. #474	C₂×D₅	semidirect
842. #452	C₂×D₅	semidirect
862. #440	C₂×D₅	semidirect
864. C₄×Q₁₆	C₂×D₅	semidirect
874. #433	C₂×D₅	semidirect
1636. C₅	#61016	semidirect

Maximal subgroups

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

subgroup	index
#10618453	2
#10617794	2
C₅×#3124	2
#10615192	2
#10614307	2
#10613203	2
#10613190	2
#10613018	2
#10613008	2
#10612864	2
#10612845	2
#10612710	2
#10612702	2
#10612357	2
#10612337	2
#10612282	2
#10612273	2
#10611968	2
#10611954	2
#10611825	2
#10611810	2
#10611545	2
#10611522	2
#10611521	2
#10611516	2
#10611481	2
#10611457	2
#10611330	2
#10611325	2
#10611120	2
#10611104	2
#61016	5