Subgroups — #12996003

Order 1280.

1754 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618061	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618034	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3250	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614874	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614854	C₂	1	1	yes	maximal, characteristic, complemented
6	#10612987	C₂	1	1	yes	maximal, characteristic, complemented
7	#10612973	C₂	1	1	yes	maximal, characteristic, complemented
8	#10612965	C₂	1	1	yes	maximal, characteristic, complemented
9	#10612954	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612929	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612907	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612900	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612894	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612506	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612483	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612462	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612439	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612416	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612414	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612382	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612382	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612356	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612350	C₂	1	1	yes	maximal, characteristic, complemented
24	#10612316	C₂	1	1	yes	maximal, characteristic, complemented
25	#10612305	C₂	1	1	yes	maximal, characteristic, complemented
26	#10612294	C₂	1	1	yes	maximal, characteristic, complemented
27	#10612251	C₂	1	1	yes	maximal, characteristic, complemented
28	#10612245	C₂	1	1	yes	maximal, characteristic, complemented
29	#10612239	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#65135	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610747	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#529	C₂²	1	1	yes	characteristic
33	C₅×#529	C₂²	1	1	yes	characteristic, complemented
34	#66046	—	2	1	no	—
35	#66046	—	2	1	no	—
36	#66041	—	2	1	no	—
37	#66038	—	2	1	no	—
38	#66029	C₂²	1	1	yes	characteristic
39	#66024	C₂²	1	1	yes	characteristic
40	#66023	C₂²	1	1	yes	characteristic, complemented
41	#66023	C₂²	1	1	yes	characteristic, complemented
42	#66016	C₂²	1	1	yes	characteristic, complemented
43	#66016	C₂²	1	1	yes	characteristic, complemented
44	#66015	C₂²	1	1	yes	characteristic
45	#66010	C₂²	1	1	yes	characteristic
46	#65990	—	2	1	no	—
47	D₅×#123	—	2	1	no	—
48	#65982	—	2	1	no	—
49	#65982	—	2	1	no	—
50	#65976	C₂²	1	1	yes	characteristic
51	#65976	C₂²	1	1	yes	characteristic
52	#65976	C₂²	1	1	yes	characteristic, complemented
53	#65964	C₂²	1	1	yes	characteristic
54	#65945	C₂²	1	1	yes	characteristic
55	#65945	C₂²	1	1	yes	characteristic
56	#65945	C₂²	1	1	yes	characteristic, complemented
57	#65943	C₂²	1	1	yes	characteristic
58	#65916	C₂²	1	1	yes	characteristic
59	#65913	C₂²	1	1	yes	characteristic, complemented
60	#65908	C₂²	1	1	yes	characteristic
61	Q₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
62	#65897	C₂²	1	1	yes	characteristic, complemented
63	#65896	C₂²	1	1	yes	characteristic
64	#65890	—	2	1	no	—
65	#65889	—	2	1	no	—
66	#65888	—	2	1	no	—
67	#65879	C₂²	1	1	yes	characteristic
68	#65877	C₂²	1	1	yes	characteristic, complemented
69	#65875	—	2	1	no	—
70	#65868	—	2	1	no	—
71	#65864	—	2	1	no	—
72	#65861	—	2	1	no	—
73	#65853	—	2	1	no	—
74	#65813	C₂²	1	1	yes	characteristic
75	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
76	C₂×#4015	C₂²	1	1	yes	characteristic, complemented
77	C₅×#479	C₂²	1	1	yes	characteristic, complemented
78	C₅×#479	C₂²	1	1	yes	characteristic, complemented
79	C₅×#478	C₂²	1	1	yes	characteristic, complemented
80	C₅×#478	C₂²	1	1	yes	characteristic, complemented
81	C₅×#467	C₂²	1	1	yes	characteristic, complemented
82	C₅×#466	C₂²	1	1	yes	characteristic
83	C₅×#465	C₂²	1	1	yes	characteristic
84	C₅×#465	C₂²	1	1	yes	characteristic, complemented
85	C₅×#464	C₂²	1	1	yes	characteristic, complemented
86	C₅×#464	C₂²	1	1	yes	characteristic, complemented
87	C₅×#463	C₂²	1	1	yes	characteristic, complemented
88	C₅×#463	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
90	#65477	C₂²	1	1	yes	characteristic, complemented
91	#65476	C₂²	1	1	yes	characteristic
92	#65474	C₂²	1	1	yes	characteristic, complemented
93	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
94	#65463	C₂²	1	1	yes	characteristic, complemented
95	#65463	C₂²	1	1	yes	characteristic, complemented
96	#65461	C₂²	1	1	yes	characteristic
97	#65458	C₂²	1	1	yes	characteristic
98	#65454	C₂²	1	1	yes	characteristic, complemented
99	#65453	C₂²	1	1	yes	characteristic, complemented
100	#65453	C₂²	1	1	yes	characteristic, complemented
101	#65452	C₂²	1	1	yes	characteristic
102	#65446	C₂²	1	1	yes	characteristic, complemented
103	#65445	C₂²	1	1	yes	characteristic
104	#65439	C₂²	1	1	yes	characteristic
105	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
106	C₂×#3953	C₂²	1	1	yes	characteristic
107	C₂×#3953	C₂²	1	1	yes	characteristic
108	#65400	C₂²	1	1	yes	characteristic
109	#65400	C₂²	1	1	yes	characteristic, complemented
110	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
111	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3950	C₂²	1	1	yes	characteristic, complemented
113	C₂×#3950	C₂²	1	1	yes	characteristic, complemented
114	#65355	C₂²	1	1	yes	characteristic
115	#65355	C₂²	1	1	yes	characteristic, complemented
116	#65354	C₂²	1	1	yes	characteristic, complemented
117	#65354	C₂²	1	1	yes	characteristic, complemented
118	#65346	C₂²	1	1	yes	characteristic
119	#65346	C₂²	1	1	yes	characteristic, complemented
120	#65344	C₂²	1	1	yes	characteristic, complemented
121	#65344	C₂²	1	1	yes	characteristic, complemented
122	#65335	C₂²	1	1	yes	characteristic
123	#65332	C₂²	1	1	yes	characteristic, complemented
124	#65332	C₂²	1	1	yes	characteristic, complemented
125	#65332	C₂²	1	1	yes	characteristic, complemented
126	#65325	C₂²	1	1	yes	characteristic
127	#65322	C₂²	1	1	yes	characteristic
128	#65322	C₂²	1	1	yes	characteristic
129	#65322	C₂²	1	1	yes	characteristic, complemented
130	#65315	C₂²	1	1	yes	characteristic
131	#65315	C₂²	1	1	yes	characteristic, complemented
132	#65310	C₂²	1	1	yes	characteristic, complemented
133	#65310	C₂²	1	1	yes	characteristic, complemented
134	#65303	C₂²	1	1	yes	characteristic
135	#65303	C₂²	1	1	yes	characteristic, complemented
136	#65297	C₂²	1	1	yes	characteristic, complemented
137	#65297	C₂²	1	1	yes	characteristic, complemented
138	#65215	C₂²	1	1	yes	characteristic, complemented
139	#65180	C₂²	1	1	yes	characteristic
140	#65179	C₂²	1	1	yes	characteristic
141	#65174	C₂²	1	1	yes	characteristic, complemented
142	#65171	C₂²	1	1	yes	characteristic
143	#65169	C₂²	1	1	yes	characteristic, complemented
144	D₅×#107	C₂²	1	1	yes	characteristic, complemented
145	#65167	C₂²	1	1	yes	characteristic, complemented
146	#65163	C₂²	1	1	yes	characteristic, complemented
147	#65160	C₂²	1	1	yes	characteristic
148	#65159	C₂²	1	1	yes	characteristic
149	#65155	C₂²	1	1	yes	characteristic
150	#65152	C₂²	1	1	yes	characteristic, complemented
151	#65150	C₂²	1	1	yes	characteristic, complemented
152	#65150	C₂²	1	1	yes	characteristic, complemented
153	#65145	C₂²	1	1	yes	characteristic, complemented
154	#65145	C₂²	1	1	yes	characteristic, complemented
155	#65135	C₂²	1	1	yes	characteristic
156	#65135	C₂²	1	1	yes	characteristic
157	#65135	C₂²	1	1	yes	characteristic
158	#65135	C₂²	1	1	yes	characteristic
159	#65135	C₂²	1	1	yes	characteristic, complemented
160	#65135	C₂²	1	1	yes	characteristic, complemented
161	#65135	C₂²	1	1	yes	characteristic, complemented
162	#65135	C₂²	1	1	yes	characteristic, complemented
163	#65129	C₂²	1	1	yes	characteristic, complemented
164	#65129	C₂²	1	1	yes	characteristic, complemented
165	#65128	C₂²	1	1	yes	characteristic, complemented
166	#65128	C₂²	1	1	yes	characteristic, complemented
167	#65125	C₂²	1	1	yes	characteristic, complemented
168	#65125	C₂²	1	1	yes	characteristic, complemented
169	#65117	C₂²	1	1	yes	characteristic, complemented
170	#65117	C₂²	1	1	yes	characteristic, complemented
171	#65106	C₂²	1	1	yes	characteristic
172	#65103	C₂²	1	1	yes	characteristic, complemented
173	#65103	C₂²	1	1	yes	characteristic, complemented
174	#65101	C₂²	1	1	yes	characteristic
175	#65098	C₂²	1	1	yes	characteristic, complemented
176	#65098	C₂²	1	1	yes	characteristic, complemented
177	#65096	C₂²	1	1	yes	characteristic, complemented
178	#65093	C₂²	1	1	yes	characteristic
179	#65092	C₂²	1	1	yes	characteristic
180	#65089	C₂²	1	1	yes	characteristic, complemented
181	#65085	C₂²	1	1	yes	characteristic, complemented
182	#65085	C₂²	1	1	yes	characteristic, complemented
183	#65084	C₂²	1	1	yes	characteristic, complemented
184	#65083	C₂²	1	1	yes	characteristic, complemented
185	#65083	C₂²	1	1	yes	characteristic, complemented
186	#65077	C₂²	1	1	yes	characteristic
187	#65074	C₂²	1	1	yes	characteristic
188	#65073	C₂²	1	1	yes	characteristic, complemented
189	#65073	C₂²	1	1	yes	characteristic, complemented
190	#65071	C₂²	1	1	yes	characteristic, complemented
191	#65064	C₂²	1	1	yes	characteristic
192	#65063	C₂²	1	1	yes	characteristic, complemented
193	#65063	C₂²	1	1	yes	characteristic, complemented
194	#65059	C₂²	1	1	yes	characteristic
195	D₅×#102	C₂²	1	1	yes	characteristic
196	#65055	C₂²	1	1	yes	characteristic, complemented
197	#65055	C₂²	1	1	yes	characteristic, complemented
198	#65053	C₂²	1	1	yes	characteristic
199	#65049	C₂²	1	1	yes	characteristic
200	#65048	C₂²	1	1	yes	characteristic, complemented
201	#65048	C₂²	1	1	yes	characteristic, complemented
202	#65045	C₂²	1	1	yes	characteristic
203	#62155	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#711	—	2	1	no	—
206	C₂×#711	—	2	1	no	—
207	C₂×#711	—	2	1	no	—
208	C₂×D₄×D₅	—	2	1	no	—
209	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
210	C₂²×D₂₀	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₅	—	2	1	no	—
212	C₂²×Dic₁₀	—	2	1	no	—
213	C₂×C₅×Q₁₆	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×D₈	C₂³	1	1	yes	characteristic
217	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
218	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
219	C₅×#126	—	2	1	no	—
220	C₅×#126	—	2	1	no	—
221	C₅×#125	C₂³	1	1	yes	characteristic
222	C₅×#125	C₂³	1	1	yes	characteristic
223	C₅×#124	C₂³	1	1	yes	characteristic
224	C₅×#124	C₂³	1	1	yes	characteristic
225	C₅×#123	—	2	1	no	—
226	C₅×#123	—	2	1	no	—
227	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×#121	C₂³	1	1	yes	characteristic
230	C₅×#121	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
233	C₄×C₅×D₄	—	2	1	no	—
234	C₄×C₅×D₄	—	2	1	no	—
235	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₅×#117	—	2	1	no	—
238	C₅×#117	—	2	1	no	—
239	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
240	#4093	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	C₂×#688	C₂³	1	1	yes	characteristic
248	C₂×#688	C₂³	1	1	yes	characteristic
249	#4086	C₂³	1	1	yes	characteristic
250	#4084	C₂³	1	1	yes	characteristic
251	#4084	C₂³	1	1	yes	characteristic
252	#4084	C₂³	1	1	yes	characteristic
253	#4083	—	2	1	no	—
254	#4081	—	2	1	no	—
255	#4081	—	2	1	no	—
256	#4081	—	2	1	no	—
257	D₄×Dic₅	C₂³	1	1	yes	characteristic
258	D₄×Dic₅	C₂³	1	1	yes	characteristic
259	D₄×Dic₅	C₂³	1	1	yes	characteristic
260	C₂×#686	C₂³	1	1	yes	characteristic
261	C₂×#686	C₂³	1	1	yes	characteristic
262	#4076	—	2	1	no	—
263	#4076	—	2	1	no	—
264	#4076	D₄	1	1	yes	characteristic
265	#4075	—	2	1	no	—
266	#4075	D₄	1	1	yes	characteristic
267	#4075	D₄	1	1	yes	characteristic
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
270	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
271	C₂×#685	—	2	1	no	—
272	C₂×#685	—	2	1	no	—
273	#4072	—	2	1	no	—
274	C₂×C₄⋊Dic₅	—	2	1	no	—
275	C₂×C₄⋊Dic₅	—	2	1	no	—
276	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
279	#4070	—	2	1	no	—
280	#4070	D₄	1	1	yes	characteristic
281	C₂×#676	C₂³	1	1	yes	characteristic
282	C₂×#676	C₂³	1	1	yes	characteristic
283	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
284	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
285	#4044	—	2	1	no	—
286	#4044	—	2	1	no	—
287	#4044	—	2	1	no	—
288	#4044	—	2	1	no	—
289	#4043	—	2	1	no	—
290	#4043	—	2	1	no	—
291	#4043	—	2	1	no	—
292	#4042	—	2	1	no	—
293	#4042	—	2	1	no	—
294	#4042	—	2	1	no	—
295	#4042	—	2	1	no	—
296	#4042	—	2	1	no	—
297	#4042	—	2	1	no	—
298	#4042	—	2	1	no	—
299	#4041	—	2	1	no	—
300	#4041	—	2	1	no	—
301	#4041	C₂³	1	1	yes	characteristic
302	#4041	C₂³	1	1	yes	characteristic
303	#4040	—	2	1	no	—
304	#4040	—	2	1	no	—
305	#4040	—	2	1	no	—
306	#4039	—	2	1	no	—
307	#4039	—	2	1	no	—
308	#4039	C₂³	1	1	yes	characteristic
309	#4039	C₂³	1	1	yes	characteristic
310	#4038	C₂³	1	1	yes	characteristic
311	#4038	C₂³	1	1	yes	characteristic
312	#4038	C₂³	1	1	yes	characteristic
313	D₅×C₄⋊C₄	—	2	1	no	—
314	D₅×C₄⋊C₄	—	2	1	no	—
315	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
316	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
317	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
318	#4036	—	2	1	no	—
319	#4036	—	2	1	no	—
320	#4036	—	2	1	no	—
321	#4036	C₂³	1	1	yes	characteristic
322	#4036	C₂³	1	1	yes	characteristic
323	#4036	C₂³	1	1	yes	characteristic
324	#4035	—	2	1	no	—
325	#4035	—	2	1	no	—
326	#4034	—	2	1	no	—
327	#4034	—	2	1	no	—
328	#4034	—	2	1	no	—
329	#4034	—	2	1	no	—
330	#4034	C₂³	1	1	yes	characteristic
331	#4034	C₂³	1	1	yes	characteristic
332	#4034	C₂³	1	1	yes	characteristic
333	#4032	—	2	1	no	—
334	#4032	—	2	1	no	—
335	#4032	—	2	1	no	—
336	#4032	—	2	1	no	—
337	#4032	—	2	1	no	—
338	#4032	—	2	1	no	—
339	#4031	—	2	1	no	—
340	#4031	—	2	1	no	—
341	#4031	—	2	1	no	—
342	#4031	—	2	1	no	—
343	#4031	—	2	1	no	—
344	#4030	—	2	1	no	—
345	#4030	—	2	1	no	—
346	#4030	—	2	1	no	—
347	#4029	—	2	1	no	—
348	#4029	—	2	1	no	—
349	#4029	—	2	1	no	—
350	#4029	—	2	1	no	—
351	#4029	—	2	1	no	—
352	#4029	—	2	1	no	—
353	#4028	—	2	1	no	—
354	#4028	—	2	1	no	—
355	#4028	—	2	1	no	—
356	#4027	—	2	1	no	—
357	#4027	—	2	1	no	—
358	D₅×C₂²⋊C₄	—	2	1	no	—
359	D₅×C₂²⋊C₄	—	2	1	no	—
360	D₅×C₂²⋊C₄	—	2	1	no	—
361	#4025	—	2	1	no	—
362	#4025	—	2	1	no	—
363	#4024	—	2	1	no	—
364	#4024	—	2	1	no	—
365	#4024	—	2	1	no	—
366	#4024	—	2	1	no	—
367	#4024	—	2	1	no	—
368	#4024	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4023	—	2	1	no	—
371	#4023	—	2	1	no	—
372	#4023	—	2	1	no	—
373	#4022	—	2	1	no	—
374	#4022	D₄	1	1	yes	characteristic
375	#4022	D₄	1	1	yes	characteristic
376	#4021	—	2	1	no	—
377	#4021	D₄	1	1	yes	characteristic
378	C₄×D₂₀	—	2	1	no	—
379	C₄×D₂₀	—	2	1	no	—
380	C₄×D₂₀	—	2	1	no	—
381	C₄×D₂₀	—	2	1	no	—
382	C₄×D₂₀	C₂³	1	1	yes	characteristic
383	C₄×D₂₀	C₂³	1	1	yes	characteristic
384	C₄×D₂₀	C₂³	1	1	yes	characteristic
385	C₄×D₂₀	C₂³	1	1	yes	characteristic
386	C₄×D₂₀	C₂³	1	1	yes	characteristic
387	#4018	—	2	1	no	—
388	#4018	C₂³	1	1	yes	characteristic
389	#4018	C₂³	1	1	yes	characteristic
390	#4016	—	2	1	no	—
391	#4016	D₄	1	1	yes	characteristic
392	#4015	—	2	1	no	—
393	#4015	—	2	1	no	—
394	#4015	—	2	1	no	—
395	#4015	C₂³	1	1	yes	characteristic
396	#4015	C₂³	1	1	yes	characteristic
397	#4015	C₂³	1	1	yes	characteristic
398	#4015	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	—	2	1	no	—
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₅×#107	C₂³	1	1	yes	characteristic
402	C₅×#107	C₂³	1	1	yes	characteristic
403	C₅×#106	C₂³	1	1	yes	characteristic
404	C₅×#106	C₂³	1	1	yes	characteristic
405	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
406	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
407	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
408	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
409	C₅×#103	C₂³	1	1	yes	characteristic
410	C₅×#103	C₂³	1	1	yes	characteristic
411	C₅×#103	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#102	C₂³	1	1	yes	characteristic
414	C₅×#102	C₂³	1	1	yes	characteristic
415	C₅×#102	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	#3967	C₂³	1	1	yes	characteristic
418	#3967	C₂³	1	1	yes	characteristic
419	#3967	C₂³	1	1	yes	characteristic
420	#3967	C₂³	1	1	yes	characteristic
421	#3967	C₂³	1	1	yes	characteristic
422	#3967	C₂³	1	1	yes	characteristic
423	#3964	C₂³	1	1	yes	characteristic
424	#3964	C₂³	1	1	yes	characteristic
425	#3964	C₂³	1	1	yes	characteristic
426	#3964	C₂³	1	1	yes	characteristic
427	#3964	C₂³	1	1	yes	characteristic
428	#3964	C₂³	1	1	yes	characteristic
429	C₂²⋊#168	C₂³	1	1	yes	characteristic
430	C₂²⋊#168	C₂³	1	1	yes	characteristic
431	#3953	C₂³	1	1	yes	characteristic
432	#3953	C₂³	1	1	yes	characteristic
433	#3953	C₂³	1	1	yes	characteristic
434	#3953	C₂³	1	1	yes	characteristic
435	#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	#3950	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3950	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3950	C₂³	1	1	yes	characteristic
450	#3950	C₂³	1	1	yes	characteristic
451	#3947	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	#3941	C₂³	1	1	yes	characteristic
460	#3941	C₂³	1	1	yes	characteristic
461	#3941	C₂³	1	1	yes	characteristic
462	#3941	C₂³	1	1	yes	characteristic
463	#3940	C₂³	1	1	yes	characteristic
464	#3940	C₂³	1	1	yes	characteristic
465	#3940	C₂³	1	1	yes	characteristic
466	#3940	C₂³	1	1	yes	characteristic
467	#3940	C₂³	1	1	yes	characteristic
468	#3940	C₂³	1	1	yes	characteristic
469	#3939	C₂³	1	1	yes	characteristic
470	#3939	C₂³	1	1	yes	characteristic
471	#3939	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	C₄⋊#168	C₂³	1	1	yes	characteristic
476	C₄⋊#168	C₂³	1	1	yes	characteristic
477	#3935	C₂³	1	1	yes	characteristic
478	#3935	C₂³	1	1	yes	characteristic
479	#3544	—	5	1	no	—
480	#3513	—	5	1	no	—
481	#3389	—	5	1	no	—
482	#3385	—	5	1	no	—
483	#3375	—	5	1	no	—
484	#3370	—	5	1	no	—
485	#3347	—	5	1	no	—
486	#3346	—	5	1	no	—
487	#3343	—	5	1	no	—
488	#3343	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3334	—	5	1	no	—
491	#3319	—	5	1	no	—
492	#3314	—	5	1	no	—
493	#3310	—	5	1	no	—
494	#3306	—	5	1	no	—
495	#3296	—	5	1	no	—
496	#3294	—	5	1	no	—
497	#3262	—	5	1	no	—
498	#3257	—	5	1	no	—
499	#3250	D₅	1	1	yes	characteristic, complemented
500	#3243	—	5	1	no	—
501	#3241	—	5	1	no	—
502	#3238	—	5	1	no	—
503	#3124	—	5	1	no	—
504	#3118	—	5	1	no	—
505	#3114	—	5	1	no	—
506	#3083	—	5	1	no	—
507	#3081	—	5	1	no	—
508	C₂×#474	—	5	1	no	—
509	#2992	—	5	1	no	—
510	C₂³×D₅	—	2	1	no	—
511	C₂³×D₅	—	2	1	no	—
512	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
514	C₂×C₅×D₄	—	2	1	no	—
515	C₂×C₅×D₄	—	2	1	no	—
516	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₅	—	2	1	no	—
519	C₂²×C₄×C₅	—	2	1	no	—
520	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
521	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
522	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
523	C₂×C₂²⋊D₅	—	2	1	no	—
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	—	2	1	no	—
534	C₂²×Dic₅	—	2	1	no	—
535	C₂²×Dic₅	—	2	1	no	—
536	C₂²×Dic₅	—	2	1	no	—
537	#713	—	2	2	no	—
538	#713	—	4	1	no	—
539	#711	—	8	2	no	—
540	#711	—	8	2	no	—
541	#711	—	8	2	no	—
542	D₄×D₅	—	2	2	no	—
543	D₄×D₅	—	4	1	no	—
544	D₄×D₅	—	8	2	no	—
545	C₂×D₂₀	—	2	2	no	—
546	C₂×D₂₀	—	2	1	no	—
547	C₂×D₂₀	—	2	1	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	—	4	1	no	—
551	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
552	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
553	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	—	2	1	no	—
560	C₂×C₄×D₅	—	2	1	no	—
561	C₂×C₄×D₅	—	2	1	no	—
562	C₂×C₄×D₅	—	2	1	no	—
563	C₂×C₄×D₅	—	2	1	no	—
564	C₂×C₄×D₅	—	8	2	no	—
565	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
566	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₁₀	—	2	1	no	—
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	C₅×Q₁₆	—	4	1	no	—
577	C₅×SD₁₆	—	4	1	no	—
578	C₅×SD₁₆	—	4	1	no	—
579	C₅×D₈	—	4	1	no	—
580	C₂×C₅×C₈	—	4	1	no	—
581	C₂×C₅×C₈	—	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	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
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	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₄²×C₅	—	2	1	no	—
609	C₄²×C₅	—	2	1	no	—
610	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
611	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₅	C₂⁴	1	1	yes	characteristic
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
621	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
622	#688	—	2	2	no	—
623	#688	—	4	1	no	—
624	#686	—	2	2	no	—
625	#686	—	4	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	C₂×D₄	1	1	yes	characteristic
643	#685	C₂×D₄	1	1	yes	characteristic
644	#685	C₂×D₄	1	1	yes	characteristic
645	#685	C₂×D₄	1	1	yes	characteristic
646	#685	C₂×D₄	1	1	yes	characteristic
647	#685	C₂×D₄	1	1	yes	characteristic
648	#685	C₂×D₄	1	1	yes	characteristic
649	#685	C₂×D₄	1	1	yes	characteristic
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
664	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
665	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
666	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
667	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
668	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₂×#168	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	#676	—	4	1	no	—
704	#676	—	4	1	no	—
705	C₈×D₅	—	4	1	no	—
706	C₈×D₅	—	4	1	no	—
707	#563	—	10	1	no	—
708	#563	—	10	1	no	—
709	#559	—	5	1	no	—
710	Q₈²	—	5	1	no	—
711	#555	—	5	1	no	—
712	#554	—	5	1	no	—
713	#554	—	5	1	no	—
714	#554	—	5	1	no	—
715	#553	—	5	1	no	—
716	#553	—	10	1	no	—
717	#552	—	5	1	no	—
718	#552	—	5	1	no	—
719	#552	—	5	1	no	—
720	#552	—	10	1	no	—
721	#551	—	10	1	no	—
722	#551	—	10	1	no	—
723	#547	—	5	1	no	—
724	#547	—	5	1	no	—
725	#547	—	5	1	no	—
726	#547	—	10	1	no	—
727	#546	—	5	1	no	—
728	#546	—	5	1	no	—
729	#546	—	10	1	no	—
730	D₄²	—	5	1	no	—
731	#544	—	5	1	no	—
732	#544	—	5	1	no	—
733	#544	—	10	1	no	—
734	#542	—	5	1	no	—
735	#542	—	5	1	no	—
736	#542	—	5	1	no	—
737	#542	—	10	1	no	—
738	#540	—	5	1	no	—
739	#539	—	10	1	no	—
740	#538	—	10	1	no	—
741	#536	—	10	1	no	—
742	#536	—	10	1	no	—
743	C₂×C₄⋊Q₈	—	5	1	no	—
744	#529	—	5	1	no	—
745	#529	C₂×D₅	1	1	yes	characteristic
746	#529	C₂×D₅	1	1	yes	characteristic, complemented
747	#525	—	10	1	no	—
748	C₂×#123	—	10	1	no	—
749	#520	—	5	1	no	—
750	#518	—	5	1	no	—
751	C₂×C₄×D₄	—	5	1	no	—
752	#501	—	5	1	no	—
753	#501	—	5	1	no	—
754	#501	—	5	1	no	—
755	#501	—	5	1	no	—
756	#500	—	5	1	no	—
757	#499	—	5	1	no	—
758	#490	—	5	1	no	—
759	#489	—	5	1	no	—
760	#489	—	5	1	no	—
761	#489	—	5	1	no	—
762	#488	—	5	1	no	—
763	#486	—	5	1	no	—
764	#485	—	5	1	no	—
765	#485	—	5	1	no	—
766	#484	—	5	1	no	—
767	#484	—	5	1	no	—
768	#483	—	5	1	no	—
769	#483	—	5	1	no	—
770	#483	—	5	1	no	—
771	#482	—	5	1	no	—
772	#482	—	5	1	no	—
773	#482	—	5	1	no	—
774	#482	—	5	1	no	—
775	#481	—	5	1	no	—
776	#480	—	5	1	no	—
777	#480	—	5	1	no	—
778	#480	—	5	1	no	—
779	#480	—	5	1	no	—
780	#480	—	5	1	no	—
781	#480	—	5	1	no	—
782	#479	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	C₂×D₅	1	1	yes	characteristic, complemented
785	#479	C₂×D₅	1	1	yes	characteristic, complemented
786	#478	—	5	1	no	—
787	#478	—	5	1	no	—
788	#478	—	5	1	no	—
789	#478	—	5	1	no	—
790	#478	—	5	1	no	—
791	#478	—	5	1	no	—
792	#478	C₂×D₅	1	1	yes	characteristic, complemented
793	#478	C₂×D₅	1	1	yes	characteristic, complemented
794	#477	—	5	1	no	—
795	#477	—	5	1	no	—
796	#477	—	5	1	no	—
797	#477	—	5	1	no	—
798	#476	—	5	1	no	—
799	#476	—	5	1	no	—
800	#476	—	5	1	no	—
801	#474	—	5	1	no	—
802	#474	—	5	1	no	—
803	#474	—	5	1	no	—
804	#474	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#474	—	5	1	no	—
808	#474	—	5	1	no	—
809	#474	—	5	1	no	—
810	#474	—	5	1	no	—
811	#474	—	5	1	no	—
812	#469	—	5	1	no	—
813	#468	—	5	1	no	—
814	#468	—	5	1	no	—
815	#468	—	5	1	no	—
816	#467	—	5	1	no	—
817	#467	C₂×D₅	1	1	yes	characteristic, complemented
818	#466	—	5	1	no	—
819	#466	—	5	1	no	—
820	#466	C₂×D₅	1	1	yes	characteristic
821	#465	—	5	1	no	—
822	#465	C₂×D₅	1	1	yes	characteristic
823	#465	C₂×D₅	1	1	yes	characteristic, complemented
824	#464	—	5	1	no	—
825	#464	C₂×D₅	1	1	yes	characteristic, complemented
826	#464	C₂×D₅	1	1	yes	characteristic, complemented
827	#463	—	5	1	no	—
828	#463	—	5	1	no	—
829	#463	—	5	1	no	—
830	#463	C₂×D₅	1	1	yes	characteristic, complemented
831	#463	C₂×D₅	1	1	yes	characteristic, complemented
832	#460	—	5	1	no	—
833	#459	—	5	1	no	—
834	#452	—	5	1	no	—
835	#450	—	5	1	no	—
836	#450	—	5	1	no	—
837	#449	—	5	1	no	—
838	#447	—	5	1	no	—
839	#447	—	5	1	no	—
840	#446	—	5	1	no	—
841	#446	—	5	1	no	—
842	#442	—	5	1	no	—
843	#442	—	5	1	no	—
844	#442	—	5	1	no	—
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	C₄×Q₁₆	—	5	1	no	—
851	C₄×SD₁₆	—	5	1	no	—
852	C₄×D₈	—	5	1	no	—
853	C₄×D₈	—	5	1	no	—
854	#435	—	5	1	no	—
855	#435	—	5	1	no	—
856	#435	—	5	1	no	—
857	#435	—	5	1	no	—
858	C₈×D₄	—	5	1	no	—
859	C₈×D₄	—	5	1	no	—
860	#433	—	5	1	no	—
861	#433	—	5	1	no	—
862	#432	—	5	1	no	—
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	#427	—	5	1	no	—
866	C₂×#107	—	5	1	no	—
867	C₂×#107	—	5	1	no	—
868	C₂×#107	—	5	1	no	—
869	#424	—	5	1	no	—
870	#424	—	5	1	no	—
871	C₂×C₄⋊C₈	C₂×D₅	1	1	yes	characteristic, complemented
872	#418	—	5	1	no	—
873	#417	—	5	1	no	—
874	#416	—	5	1	no	—
875	C₂×#102	—	5	1	no	—
876	C₂×#102	—	5	1	no	—
877	C₂×#102	—	5	1	no	—
878	C₂³×C₅	—	2	1	no	—
879	C₂³×C₅	—	2	1	no	—
880	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
881	C₂²×D₅	—	2	1	no	—
882	C₂²×D₅	—	2	1	no	—
883	C₂²×D₅	—	4	2	no	—
884	C₂²×D₅	—	4	2	no	—
885	C₂²×D₅	—	4	2	no	—
886	C₂²×D₅	—	8	1	no	—
887	C₂²×D₅	—	8	1	no	—
888	C₂²×D₅	—	8	1	no	—
889	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
890	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
891	C₅×Q₈	—	2	1	no	—
892	C₅×Q₈	—	2	1	no	—
893	C₅×Q₈	—	2	1	no	—
894	C₅×Q₈	—	2	1	no	—
895	C₅×D₄	—	2	1	no	—
896	C₅×D₄	—	2	1	no	—
897	C₅×D₄	—	2	1	no	—
898	C₅×D₄	—	2	1	no	—
899	C₅×D₄	—	4	2	no	—
900	C₅×D₄	—	4	2	no	—
901	C₂×C₄×C₅	—	2	2	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	4	1	no	—
911	C₂×C₄×C₅	—	4	2	no	—
912	C₂×C₄×C₅	—	8	1	no	—
913	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
914	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
915	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
918	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
919	C₂²⋊D₅	—	2	2	no	—
920	C₂²⋊D₅	—	2	2	no	—
921	C₂²⋊D₅	—	4	2	no	—
922	C₂²⋊D₅	—	8	1	no	—
923	C₂²⋊D₅	—	8	1	no	—
924	C₂²⋊D₅	—	8	1	no	—
925	C₂²⋊D₅	—	8	1	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂×Dic₅	—	2	1	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	4	2	no	—
934	C₂×Dic₅	—	4	2	no	—
935	C₂×Dic₅	—	4	2	no	—
936	C₂×Dic₅	—	8	1	no	—
937	C₂×Dic₅	—	8	1	no	—
938	C₂×Dic₅	—	8	1	no	—
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	D₂₀	—	2	1	no	—
946	D₂₀	—	2	1	no	—
947	D₂₀	—	2	1	no	—
948	D₂₀	—	4	1	no	—
949	D₂₀	—	4	2	no	—
950	D₂₀	—	4	2	no	—
951	D₂₀	—	8	1	no	—
952	D₂₀	—	8	1	no	—
953	D₂₀	2₋¹⁺⁴	1	2	yes	—
954	C₄×D₅	—	2	1	no	—
955	C₄×D₅	—	2	1	no	—
956	C₄×D₅	—	2	1	no	—
957	C₄×D₅	—	2	1	no	—
958	C₄×D₅	—	4	2	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	C₄×D₅	—	8	1	no	—
962	C₄×D₅	—	8	1	no	—
963	C₄×D₅	—	8	1	no	—
964	C₄×D₅	—	8	1	no	—
965	C₄×D₅	—	8	1	no	—
966	C₄×D₅	—	8	1	no	—
967	C₄×D₅	—	8	1	no	—
968	Dic₁₀	—	4	1	no	—
969	Dic₁₀	—	8	1	no	—
970	Dic₁₀	—	8	1	no	—
971	Dic₁₀	—	8	1	no	—
972	Dic₁₀	—	8	1	no	—
973	Dic₁₀	—	8	1	no	—
974	Dic₁₀	—	8	1	no	—
975	Dic₁₀	—	8	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	C₅×C₈	—	2	1	no	—
979	C₅×C₈	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	—	2	1	no	—
982	#168	—	2	1	no	—
983	#168	—	2	1	no	—
984	C₂×#41	—	5	1	no	—
985	C₂×#41	—	10	1	no	—
986	C₂×#41	—	10	1	no	—
987	C₂×#41	—	10	1	no	—
988	C₂²×Q₈	—	10	1	no	—
989	C₂²×D₄	—	5	1	no	—
990	C₂²×D₄	—	5	1	no	—
991	C₂²×D₄	—	10	1	no	—
992	C₂³×C₄	—	10	1	no	—
993	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
997	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
998	C₂×D₈	—	5	1	no	—
999	C₂×D₈	—	5	1	no	—
1000	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1001	C₂×M₁₆	—	5	1	no	—
1002	C₂×M₁₆	—	5	1	no	—
1003	C₂²×C₈	—	5	1	no	—
1004	C₂²×C₈	—	5	1	no	—
1005	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1006	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	5	1	no	—
1012	C₄⋊Q₈	—	5	1	no	—
1013	C₄⋊Q₈	—	5	1	no	—
1014	C₄⋊Q₈	—	10	1	no	—
1015	C₄⋊Q₈	—	10	1	no	—
1016	C₄⋊Q₈	—	10	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	—	10	1	no	—
1019	C₄⋊Q₈	—	10	1	no	—
1020	C₄⋊Q₈	—	10	1	no	—
1021	#127	—	5	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#126	—	5	1	no	—
1025	#126	—	5	1	no	—
1026	#126	—	10	1	no	—
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	5	1	no	—
1035	#125	—	5	1	no	—
1036	#125	—	5	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	1	no	—
1042	#125	—	10	1	no	—
1043	#125	C₂²×D₅	1	1	yes	characteristic
1044	#125	C₂²×D₅	1	1	yes	characteristic
1045	#124	—	5	1	no	—
1046	#124	—	5	1	no	—
1047	#124	—	10	1	no	—
1048	#124	—	10	1	no	—
1049	#124	—	10	1	no	—
1050	#124	—	10	1	no	—
1051	#124	—	10	1	no	—
1052	#124	—	10	1	no	—
1053	#124	C₂²×D₅	1	1	yes	characteristic
1054	#124	C₂²×D₅	1	1	yes	characteristic
1055	#123	—	2	1	no	—
1056	#123	—	2	1	no	—
1057	#123	—	5	1	no	—
1058	#123	—	5	1	no	—
1059	#123	—	10	1	no	—
1060	#123	—	10	1	no	—
1061	#123	—	10	1	no	—
1062	#123	—	10	1	no	—
1063	#123	—	10	1	no	—
1064	#123	—	10	1	no	—
1065	#123	—	10	1	no	—
1066	#123	—	10	1	no	—
1067	#123	—	10	1	no	—
1068	#123	—	10	1	no	—
1069	#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	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	1	no	—
1082	C₂²⋊Q₈	—	10	1	no	—
1083	C₂²⋊Q₈	—	10	1	no	—
1084	C₂²⋊Q₈	—	10	1	no	—
1085	C₂²⋊Q₈	—	10	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	5	1	no	—
1107	#121	—	5	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	—	10	1	no	—
1113	#121	—	10	1	no	—
1114	#121	—	10	1	no	—
1115	#121	C₂²×D₅	1	1	yes	characteristic
1116	#121	C₂²×D₅	1	1	yes	characteristic
1117	#120	—	10	1	no	—
1118	#120	—	10	1	no	—
1119	#120	—	10	1	no	—
1120	#120	—	10	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄×D₄	—	2	1	no	—
1129	C₄×D₄	—	2	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	5	1	no	—
1133	C₄×D₄	—	5	1	no	—
1134	C₄×D₄	—	5	1	no	—
1135	C₄×D₄	—	5	1	no	—
1136	C₄×D₄	—	5	1	no	—
1137	C₄×D₄	—	5	1	no	—
1138	C₄×D₄	—	5	1	no	—
1139	C₄×D₄	—	5	1	no	—
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	—	10	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1152	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1153	#117	—	2	1	no	—
1154	#117	—	2	1	no	—
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	5	1	no	—
1159	#117	—	5	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	C₂×C₄⋊C₄	—	5	1	no	—
1166	C₂×C₄⋊C₄	—	5	1	no	—
1167	C₂×C₄⋊C₄	—	5	1	no	—
1168	C₂×C₄⋊C₄	—	5	1	no	—
1169	C₂×C₄⋊C₄	—	5	1	no	—
1170	C₂×C₄⋊C₄	—	5	1	no	—
1171	C₂×C₄⋊C₄	—	10	1	no	—
1172	C₂×C₄⋊C₄	—	10	1	no	—
1173	C₂×C₄⋊C₄	—	10	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₂²⋊C₄	—	10	1	no	—
1176	C₂×C₂²⋊C₄	—	10	1	no	—
1177	C₂×C₂²⋊C₄	—	10	1	no	—
1178	C₂×C₂²⋊C₄	—	10	1	no	—
1179	C₂×C₂²⋊C₄	—	10	1	no	—
1180	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	—	5	1	no	—
1188	#107	—	5	1	no	—
1189	#107	—	5	1	no	—
1190	#107	—	5	1	no	—
1191	#107	—	5	1	no	—
1192	#107	—	5	1	no	—
1193	#107	—	5	1	no	—
1194	#107	—	5	1	no	—
1195	#107	C₂²×D₅	1	1	yes	characteristic
1196	#107	C₂²×D₅	1	1	yes	characteristic
1197	#106	—	5	1	no	—
1198	#106	—	5	1	no	—
1199	#106	—	5	1	no	—
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	C₂²×D₅	1	1	yes	characteristic
1204	#106	C₂²×D₅	1	1	yes	characteristic
1205	C₄⋊C₈	—	5	1	no	—
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	—	5	1	no	—
1211	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1212	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1213	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1214	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#103	C₂²×D₅	1	1	yes	characteristic
1223	#103	C₂²×D₅	1	1	yes	characteristic
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	—	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	C₂²×D₅	1	1	yes	characteristic
1244	#102	C₂²×D₅	1	1	yes	characteristic
1245	#102	C₂²×D₅	1	1	yes	characteristic
1246	#102	C₂²×D₅	1	1	yes	characteristic
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	—	5	1	no	—
1249	C₂²⋊C₈	—	5	1	no	—
1250	C₂²⋊C₈	—	5	1	no	—
1251	C₂²⋊C₈	—	5	1	no	—
1252	C₂²⋊C₈	—	5	1	no	—
1253	#97	—	5	1	no	—
1254	#97	—	5	1	no	—
1255	#97	—	5	1	no	—
1256	#97	—	5	1	no	—
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₂²×C₅	—	2	1	no	—
1260	C₂²×C₅	—	2	1	no	—
1261	C₂²×C₅	—	4	1	no	—
1262	C₂²×C₅	—	4	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	—	4	1	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	—	4	1	no	—
1267	C₂²×C₅	#576	1	2	yes	—
1268	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1269	C₂×D₅	—	2	1	no	—
1270	C₂×D₅	—	2	1	no	—
1271	C₂×D₅	—	2	1	no	—
1272	C₂×D₅	—	2	1	no	—
1273	C₂×D₅	—	2	2	no	—
1274	C₂×D₅	—	2	1	no	—
1275	C₂×D₅	—	2	1	no	—
1276	C₂×D₅	—	4	1	no	—
1277	C₂×D₅	—	4	1	no	—
1278	C₂×D₅	—	4	1	no	—
1279	C₂×D₅	—	4	1	no	—
1280	C₂×D₅	—	4	1	no	—
1281	C₂×D₅	—	8	4	no	—
1282	C₂×D₅	—	16	2	no	—
1283	C₄×C₅	—	2	1	no	—
1284	C₄×C₅	—	2	1	no	—
1285	C₄×C₅	—	2	1	no	—
1286	C₄×C₅	—	2	1	no	—
1287	C₄×C₅	—	2	1	no	—
1288	C₄×C₅	—	4	1	no	—
1289	C₄×C₅	—	4	1	no	—
1290	C₄×C₅	—	4	1	no	—
1291	C₄×C₅	—	4	1	no	—
1292	C₄×C₅	—	4	1	no	—
1293	C₄×C₅	—	4	1	no	—
1294	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1295	C₄×C₅	#585	1	1	yes	characteristic
1296	Dic₅	—	2	1	no	—
1297	Dic₅	—	2	1	no	—
1298	Dic₅	—	2	1	no	—
1299	Dic₅	—	2	1	no	—
1300	Dic₅	—	2	1	no	—
1301	Dic₅	—	2	1	no	—
1302	Dic₅	—	4	1	no	—
1303	Dic₅	—	4	1	no	—
1304	Dic₅	—	4	1	no	—
1305	Dic₅	—	4	1	no	—
1306	Dic₅	—	4	1	no	—
1307	Dic₅	—	4	1	no	—
1308	C₂⁴	—	10	1	no	—
1309	C₂⁴	—	10	1	no	—
1310	#41	—	10	2	no	—
1311	#41	—	20	1	no	—
1312	#41	—	40	2	no	—
1313	#41	—	40	2	no	—
1314	#41	—	40	2	no	—
1315	C₂×Q₈	—	5	1	no	—
1316	C₂×Q₈	—	10	1	no	—
1317	C₂×Q₈	—	10	1	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	1	no	—
1321	C₂×Q₈	—	10	1	no	—
1322	C₂×Q₈	—	10	1	no	—
1323	C₂×Q₈	—	40	2	no	—
1324	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×D₄	—	2	1	no	—
1327	C₂×D₄	—	2	1	no	—
1328	C₂×D₄	—	5	1	no	—
1329	C₂×D₄	—	5	1	no	—
1330	C₂×D₄	—	5	1	no	—
1331	C₂×D₄	—	5	1	no	—
1332	C₂×D₄	—	5	1	no	—
1333	C₂×D₄	—	10	2	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	—	10	1	no	—
1339	C₂×D₄	—	10	1	no	—
1340	C₂×D₄	—	10	2	no	—
1341	C₂×D₄	—	10	1	no	—
1342	C₂×D₄	—	10	1	no	—
1343	C₂×D₄	—	10	1	no	—
1344	C₂×D₄	—	10	1	no	—
1345	C₂×D₄	—	20	1	no	—
1346	C₂×D₄	—	20	1	no	—
1347	C₂×D₄	—	40	2	no	—
1348	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1349	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1350	C₂²×C₄	—	2	1	no	—
1351	C₂²×C₄	—	2	1	no	—
1352	C₂²×C₄	—	5	1	no	—
1353	C₂²×C₄	—	5	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	—	10	1	no	—
1358	C₂²×C₄	—	10	1	no	—
1359	C₂²×C₄	—	10	1	no	—
1360	C₂²×C₄	—	10	1	no	—
1361	C₂²×C₄	—	10	1	no	—
1362	C₂²×C₄	—	10	1	no	—
1363	C₂²×C₄	—	10	1	no	—
1364	C₂²×C₄	—	10	1	no	—
1365	C₂²×C₄	—	10	1	no	—
1366	C₂²×C₄	—	10	1	no	—
1367	C₂²×C₄	—	10	1	no	—
1368	C₂²×C₄	—	10	1	no	—
1369	C₂²×C₄	—	10	1	no	—
1370	C₂²×C₄	—	40	2	no	—
1371	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1372	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1374	Q₁₆	—	4	1	no	—
1375	SD₁₆	—	4	1	no	—
1376	SD₁₆	—	4	1	no	—
1377	SD₁₆	—	10	2	no	—
1378	SD₁₆	—	20	1	no	—
1379	D₈	—	4	1	no	—
1380	D₈	—	10	2	no	—
1381	D₈	—	20	1	no	—
1382	M₁₆	—	20	1	no	—
1383	M₁₆	—	20	1	no	—
1384	C₂×C₈	—	4	1	no	—
1385	C₂×C₈	—	4	1	no	—
1386	C₂×C₈	—	5	1	no	—
1387	C₂×C₈	—	5	1	no	—
1388	C₂×C₈	—	5	1	no	—
1389	C₂×C₈	—	5	1	no	—
1390	C₂×C₈	—	20	1	no	—
1391	C₂×C₈	—	20	1	no	—
1392	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1393	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1394	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1395	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	5	1	no	—
1406	C₄⋊C₄	—	5	1	no	—
1407	C₄⋊C₄	—	5	1	no	—
1408	C₄⋊C₄	—	5	1	no	—
1409	C₄⋊C₄	—	5	1	no	—
1410	C₄⋊C₄	—	5	1	no	—
1411	C₄⋊C₄	—	5	1	no	—
1412	C₄⋊C₄	—	5	1	no	—
1413	C₄⋊C₄	—	5	1	no	—
1414	C₄⋊C₄	—	5	1	no	—
1415	C₄⋊C₄	—	5	1	no	—
1416	C₄⋊C₄	—	5	1	no	—
1417	C₄⋊C₄	—	5	1	no	—
1418	C₄⋊C₄	—	5	1	no	—
1419	C₄⋊C₄	—	5	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	5	1	no	—
1460	C₂²⋊C₄	—	5	1	no	—
1461	C₂²⋊C₄	—	5	1	no	—
1462	C₂²⋊C₄	—	5	1	no	—
1463	C₂²⋊C₄	—	5	1	no	—
1464	C₂²⋊C₄	—	5	1	no	—
1465	C₂²⋊C₄	—	5	1	no	—
1466	C₂²⋊C₄	—	5	1	no	—
1467	C₂²⋊C₄	—	5	1	no	—
1468	C₂²⋊C₄	—	5	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	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	5	1	no	—
1494	C₄²	—	5	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	D₄×D₅	1	1	yes	characteristic
1502	C₄²	D₄×D₅	1	1	yes	characteristic
1503	C₄²	C₂³×D₅	1	1	yes	characteristic
1504	C₄²	C₂³×D₅	1	1	yes	characteristic
1505	C₂×C₅	—	2	2	no	—
1506	C₂×C₅	—	8	1	no	—
1507	C₂×C₅	—	8	1	no	—
1508	C₂×C₅	#3489	1	1	yes	characteristic
1509	C₂×C₅	C₂×#576	1	1	yes	characteristic
1510	C₂×C₅	#3586	1	1	yes	characteristic
1511	D₅	—	4	1	no	—
1512	D₅	—	4	1	no	—
1513	D₅	—	4	2	no	—
1514	D₅	—	8	1	no	—
1515	C₂³	—	2	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	5	1	no	—
1518	C₂³	—	5	1	no	—
1519	C₂³	—	10	1	no	—
1520	C₂³	—	10	1	no	—
1521	C₂³	—	20	2	no	—
1522	C₂³	—	20	2	no	—
1523	C₂³	—	20	2	no	—
1524	C₂³	—	40	1	no	—
1525	C₂³	—	40	1	no	—
1526	C₂³	—	40	1	no	—
1527	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	20	1	no	—
1533	Q₈	—	40	1	no	—
1534	Q₈	—	40	1	no	—
1535	Q₈	—	40	1	no	—
1536	Q₈	—	40	1	no	—
1537	Q₈	—	40	1	no	—
1538	Q₈	—	40	1	no	—
1539	Q₈	—	40	1	no	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	4	2	no	—
1545	D₄	—	4	2	no	—
1546	D₄	—	5	2	no	—
1547	D₄	—	10	2	no	—
1548	D₄	—	10	2	no	—
1549	D₄	—	10	1	no	—
1550	D₄	—	10	1	no	—
1551	D₄	—	10	1	no	—
1552	D₄	—	20	1	no	—
1553	D₄	—	20	2	no	—
1554	D₄	—	20	2	no	—
1555	D₄	—	20	2	no	—
1556	D₄	—	40	1	no	—
1557	D₄	—	40	1	no	—
1558	D₄	—	40	1	no	—
1559	D₄	—	40	1	no	—
1560	D₄	—	40	1	no	—
1561	D₄	—	40	1	no	—
1562	D₄	—	40	1	no	—
1563	C₂×C₄	—	2	2	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	4	1	no	—
1573	C₂×C₄	—	4	2	no	—
1574	C₂×C₄	—	5	1	no	—
1575	C₂×C₄	—	5	1	no	—
1576	C₂×C₄	—	5	1	no	—
1577	C₂×C₄	—	5	1	no	—
1578	C₂×C₄	—	5	1	no	—
1579	C₂×C₄	—	5	1	no	—
1580	C₂×C₄	—	8	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	10	1	no	—
1583	C₂×C₄	—	10	1	no	—
1584	C₂×C₄	—	10	1	no	—
1585	C₂×C₄	—	10	1	no	—
1586	C₂×C₄	—	10	1	no	—
1587	C₂×C₄	—	10	1	no	—
1588	C₂×C₄	—	10	1	no	—
1589	C₂×C₄	—	10	1	no	—
1590	C₂×C₄	—	10	1	no	—
1591	C₂×C₄	—	20	2	no	—
1592	C₂×C₄	—	20	2	no	—
1593	C₂×C₄	—	20	2	no	—
1594	C₂×C₄	—	20	2	no	—
1595	C₂×C₄	—	40	1	no	—
1596	C₂×C₄	—	40	1	no	—
1597	C₂×C₄	—	40	1	no	—
1598	C₂×C₄	—	40	1	no	—
1599	C₂×C₄	—	40	1	no	—
1600	C₂×C₄	—	40	1	no	—
1601	C₂×C₄	—	40	1	no	—
1602	C₂×C₄	—	40	1	no	—
1603	C₂×C₄	—	40	1	no	—
1604	C₂×C₄	—	40	1	no	—
1605	C₂×C₄	—	40	1	no	—
1606	C₂×C₄	—	40	1	no	—
1607	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1608	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1609	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1610	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1611	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1612	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1613	C₈	—	2	1	no	—
1614	C₈	—	2	1	no	—
1615	C₈	—	2	1	no	—
1616	C₈	—	2	1	no	—
1617	C₈	—	10	1	no	—
1618	C₈	—	10	1	no	—
1619	C₈	—	10	1	no	—
1620	C₈	—	10	1	no	—
1621	C₅	#62155	1	1	yes	characteristic, complemented, Sylow
1622	C₂²	—	2	1	no	—
1623	C₂²	—	2	1	no	—
1624	C₂²	—	4	1	no	—
1625	C₂²	—	4	1	no	—
1626	C₂²	—	4	1	no	—
1627	C₂²	—	4	1	no	—
1628	C₂²	—	4	1	no	—
1629	C₂²	—	4	1	no	—
1630	C₂²	—	10	1	no	—
1631	C₂²	—	10	1	no	—
1632	C₂²	—	10	2	no	—
1633	C₂²	—	10	1	no	—
1634	C₂²	—	10	1	no	—
1635	C₂²	—	10	1	no	—
1636	C₂²	—	10	1	no	—
1637	C₂²	—	20	1	no	—
1638	C₂²	—	20	1	no	—
1639	C₂²	—	20	1	no	—
1640	C₂²	—	20	1	no	—
1641	C₂²	—	20	1	no	—
1642	C₂²	—	40	4	no	—
1643	C₂²	—	80	2	no	—
1644	C₂²	#66103	1	2	yes	—
1645	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	4	1	no	—
1652	C₄	—	4	1	no	—
1653	C₄	—	4	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	10	1	no	—
1658	C₄	—	10	1	no	—
1659	C₄	—	10	1	no	—
1660	C₄	—	10	1	no	—
1661	C₄	—	10	1	no	—
1662	C₄	—	10	1	no	—
1663	C₄	—	20	1	no	—
1664	C₄	—	20	1	no	—
1665	C₄	—	20	1	no	—
1666	C₄	—	20	1	no	—
1667	C₄	—	20	1	no	—
1668	C₄	—	20	1	no	—
1669	C₄	#66285	1	1	yes	characteristic
1670	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1671	C₂	—	2	2	no	—
1672	C₂	—	8	1	no	—
1673	C₂	—	8	1	no	—
1674	C₂	—	20	1	no	—
1675	C₂	—	20	1	no	—
1676	C₂	—	20	2	no	—
1677	C₂	—	40	1	no	—
1678	C₂	#10618281	1	1	yes	characteristic
1679	C₂	C₂×#66103	1	1	yes	characteristic
1680	C₂	#10619102	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×#3250	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3250	D₅
hypocenter	C₅	#62155
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3250

Complements

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

N	H ≅ G/N	type
1. #10618061	C₂	semidirect
2. #10618034	C₂	semidirect
3. C₅×#3250	C₂	semidirect
4. #10614874	C₂	semidirect
5. #10614854	C₂	semidirect
6. #10612987	C₂	semidirect
7. #10612973	C₂	semidirect
8. #10612965	C₂	semidirect
9. #10612954	C₂	semidirect
10. #10612929	C₂	semidirect
11. #10612907	C₂	semidirect
12. #10612900	C₂	semidirect
13. #10612894	C₂	semidirect
14. #10612506	C₂	semidirect
15. #10612483	C₂	semidirect
16. #10612462	C₂	semidirect
17. #10612439	C₂	semidirect
18. #10612416	C₂	semidirect
19. #10612414	C₂	semidirect
20. #10612382	C₂	semidirect
21. #10612382	C₂	semidirect
22. #10612356	C₂	semidirect
23. #10612350	C₂	semidirect
24. #10612316	C₂	semidirect
25. #10612305	C₂	semidirect
26. #10612294	C₂	semidirect
27. #10612251	C₂	semidirect
28. #10612245	C₂	semidirect
29. #10612239	C₂	semidirect
30. C₂×#65135	C₂	semidirect
31. #10610747	C₂	semidirect
33. C₅×#529	C₂²	semidirect
40. #66023	C₂²	semidirect
41. #66023	C₂²	semidirect
42. #66016	C₂²	semidirect
43. #66016	C₂²	semidirect
52. #65976	C₂²	semidirect
56. #65945	C₂²	semidirect
59. #65913	C₂²	semidirect
61. Q₈×Dic₁₀	C₂²	semidirect
62. #65897	C₂²	semidirect
68. #65877	C₂²	semidirect
76. C₂×#4015	C₂²	semidirect
77. C₅×#479	C₂²	semidirect
78. C₅×#479	C₂²	semidirect
79. C₅×#478	C₂²	semidirect
80. C₅×#478	C₂²	semidirect
81. C₅×#467	C₂²	semidirect
84. C₅×#465	C₂²	semidirect
85. C₅×#464	C₂²	semidirect
86. C₅×#464	C₂²	semidirect
87. C₅×#463	C₂²	semidirect
88. C₅×#463	C₂²	semidirect
89. C₂×C₅×C₄⋊C₈	C₂²	semidirect
90. #65477	C₂²	semidirect
92. #65474	C₂²	semidirect
93. Q₁₆×Dic₅	C₂²	semidirect
94. #65463	C₂²	semidirect
95. #65463	C₂²	semidirect
98. #65454	C₂²	semidirect
99. #65453	C₂²	semidirect
100. #65453	C₂²	semidirect
102. #65446	C₂²	semidirect
105. D₈×Dic₅	C₂²	semidirect
109. #65400	C₂²	semidirect
111. C₈×C₂²⋊D₅	C₂²	semidirect
112. C₂×#3950	C₂²	semidirect
113. C₂×#3950	C₂²	semidirect
115. #65355	C₂²	semidirect
116. #65354	C₂²	semidirect
117. #65354	C₂²	semidirect
119. #65346	C₂²	semidirect
120. #65344	C₂²	semidirect
121. #65344	C₂²	semidirect
123. #65332	C₂²	semidirect
124. #65332	C₂²	semidirect
125. #65332	C₂²	semidirect
129. #65322	C₂²	semidirect
131. #65315	C₂²	semidirect
132. #65310	C₂²	semidirect
133. #65310	C₂²	semidirect
135. #65303	C₂²	semidirect
136. #65297	C₂²	semidirect
137. #65297	C₂²	semidirect
138. #65215	C₂²	semidirect
141. #65174	C₂²	semidirect
143. #65169	C₂²	semidirect
144. D₅×#107	C₂²	semidirect
145. #65167	C₂²	semidirect
146. #65163	C₂²	semidirect
150. #65152	C₂²	semidirect
151. #65150	C₂²	semidirect
152. #65150	C₂²	semidirect
153. #65145	C₂²	semidirect
154. #65145	C₂²	semidirect
159. #65135	C₂²	semidirect
160. #65135	C₂²	semidirect
161. #65135	C₂²	semidirect
162. #65135	C₂²	semidirect
163. #65129	C₂²	semidirect
164. #65129	C₂²	semidirect
165. #65128	C₂²	semidirect
166. #65128	C₂²	semidirect
167. #65125	C₂²	semidirect
168. #65125	C₂²	semidirect
169. #65117	C₂²	semidirect
170. #65117	C₂²	semidirect
172. #65103	C₂²	semidirect
173. #65103	C₂²	semidirect
175. #65098	C₂²	semidirect
176. #65098	C₂²	semidirect
177. #65096	C₂²	semidirect
180. #65089	C₂²	semidirect
181. #65085	C₂²	semidirect
182. #65085	C₂²	semidirect
183. #65084	C₂²	semidirect
184. #65083	C₂²	semidirect
185. #65083	C₂²	semidirect
188. #65073	C₂²	semidirect
189. #65073	C₂²	semidirect
190. #65071	C₂²	semidirect
192. #65063	C₂²	semidirect
193. #65063	C₂²	semidirect
196. #65055	C₂²	semidirect
197. #65055	C₂²	semidirect
200. #65048	C₂²	semidirect
201. #65048	C₂²	semidirect
499. #3250	D₅	semidirect
746. #529	C₂×D₅	semidirect
784. #479	C₂×D₅	semidirect
785. #479	C₂×D₅	semidirect
792. #478	C₂×D₅	semidirect
793. #478	C₂×D₅	semidirect
817. #467	C₂×D₅	semidirect
823. #465	C₂×D₅	semidirect
825. #464	C₂×D₅	semidirect
826. #464	C₂×D₅	semidirect
830. #463	C₂×D₅	semidirect
831. #463	C₂×D₅	semidirect
871. C₂×C₄⋊C₈	C₂×D₅	semidirect
1621. C₅	#62155	semidirect

Maximal subgroups

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

subgroup	index
#10618061	2
#10618034	2
C₅×#3250	2
#10614874	2
#10614854	2
#10612987	2
#10612973	2
#10612965	2
#10612954	2
#10612929	2
#10612907	2
#10612900	2
#10612894	2
#10612506	2
#10612483	2
#10612462	2
#10612439	2
#10612416	2
#10612414	2
#10612382	2
#10612356	2
#10612350	2
#10612316	2
#10612305	2
#10612294	2
#10612251	2
#10612245	2
#10612239	2
C₂×#65135	2
#10610747	2
#62155	5