Subgroups — #12970909

Order 1280.

2086 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618451	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#536	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3225	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615195	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615140	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613607	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613603	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613556	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613553	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613415	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613412	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613333	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613330	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612336	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612334	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612273	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612268	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612214	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612210	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612163	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612161	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611957	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611955	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611934	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611914	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611858	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
28	D₅×#448	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611767	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611128	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611105	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
34	C₅×#542	C₂²	1	1	yes	characteristic, complemented
35	C₅×#536	C₂²	1	1	yes	characteristic, complemented
36	#66159	C₂²	1	1	yes	characteristic, complemented
37	#66150	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4065	C₂²	1	1	yes	characteristic
39	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
41	C₂×#4062	C₂²	1	1	yes	characteristic
42	C₂×#4060	C₂²	1	1	yes	characteristic
43	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4057	C₂²	1	1	yes	characteristic
46	#66063	C₂²	1	1	yes	characteristic, complemented
47	#66059	C₂²	1	1	yes	characteristic
48	#66058	C₂²	1	1	yes	characteristic
49	#66058	C₂²	1	1	yes	characteristic
50	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
51	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
52	#66043	—	2	1	no	—
53	#66039	—	2	1	no	—
54	#66014	C₂²	1	1	yes	characteristic
55	#66010	—	2	1	no	—
56	#66009	C₂²	1	1	yes	characteristic
57	#66009	C₂²	1	1	yes	characteristic
58	#66008	C₂²	1	1	yes	characteristic, complemented
59	D₅×#124	C₂²	1	1	yes	characteristic, complemented
60	D₅×#124	C₂²	1	1	yes	characteristic, complemented
61	#66004	—	2	1	no	—
62	#65995	—	2	1	no	—
63	#65988	—	2	1	no	—
64	D₅×#123	—	2	1	no	—
65	D₅×#123	—	2	1	no	—
66	#65982	—	2	1	no	—
67	#65982	—	2	1	no	—
68	#65977	C₂²	1	1	yes	characteristic, complemented
69	#65971	—	2	1	no	—
70	#65965	—	2	1	no	—
71	#65962	—	2	1	no	—
72	#65962	—	2	1	no	—
73	#65961	C₂²	1	1	yes	characteristic
74	D₅×C₂²⋊Q₈	—	2	1	no	—
75	D₅×C₂²⋊Q₈	—	2	1	no	—
76	#65953	C₂²	1	1	yes	characteristic, complemented
77	D₅×#121	C₂²	1	1	yes	characteristic
78	#65914	C₂²	1	1	yes	characteristic
79	#65908	C₂²	1	1	yes	characteristic, complemented
80	#65882	C₂²	1	1	yes	characteristic
81	#65879	C₂²	1	1	yes	characteristic, complemented
82	#65869	C₂²	1	1	yes	characteristic, complemented
83	#65860	C₂²	1	1	yes	characteristic, complemented
84	D₅×#117	C₂²	1	1	yes	characteristic
85	C₅×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅×#495	C₂²	1	1	yes	characteristic, complemented
87	C₅×#489	C₂²	1	1	yes	characteristic, complemented
88	C₅×#487	C₂²	1	1	yes	characteristic, complemented
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#463	C₂²	1	1	yes	characteristic, complemented
91	C₅×#462	C₂²	1	1	yes	characteristic, complemented
92	C₅×#461	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic, complemented
94	C₅×#451	C₂²	1	1	yes	characteristic, complemented
95	C₅×#449	C₂²	1	1	yes	characteristic
96	C₅×#448	C₂²	1	1	yes	characteristic, complemented
97	C₅×#433	C₂²	1	1	yes	characteristic, complemented
98	#65527	C₂²	1	1	yes	characteristic
99	#65527	C₂²	1	1	yes	characteristic, complemented
100	#65516	C₂²	1	1	yes	characteristic, complemented
101	#65516	C₂²	1	1	yes	characteristic, complemented
102	#65480	C₂²	1	1	yes	characteristic, complemented
103	#65479	C₂²	1	1	yes	characteristic, complemented
104	#65479	C₂²	1	1	yes	characteristic, complemented
105	#65475	C₂²	1	1	yes	characteristic, complemented
106	#65475	C₂²	1	1	yes	characteristic, complemented
107	#65475	C₂²	1	1	yes	characteristic, complemented
108	#65474	C₂²	1	1	yes	characteristic, complemented
109	#65471	C₂²	1	1	yes	characteristic, complemented
110	#65471	C₂²	1	1	yes	characteristic, complemented
111	#65465	C₂²	1	1	yes	characteristic, complemented
112	#65464	C₂²	1	1	yes	characteristic, complemented
113	#65464	C₂²	1	1	yes	characteristic, complemented
114	#65459	C₂²	1	1	yes	characteristic
115	#65459	C₂²	1	1	yes	characteristic
116	#65459	C₂²	1	1	yes	characteristic
117	#65458	C₂²	1	1	yes	characteristic, complemented
118	#65457	C₂²	1	1	yes	characteristic, complemented
119	#65455	C₂²	1	1	yes	characteristic, complemented
120	#65454	C₂²	1	1	yes	characteristic, complemented
121	#65451	C₂²	1	1	yes	characteristic, complemented
122	#65451	C₂²	1	1	yes	characteristic, complemented
123	#65445	C₂²	1	1	yes	characteristic
124	#65443	C₂²	1	1	yes	characteristic, complemented
125	#65442	C₂²	1	1	yes	characteristic, complemented
126	#65382	C₂²	1	1	yes	characteristic, complemented
127	#65378	C₂²	1	1	yes	characteristic, complemented
128	#65374	C₂²	1	1	yes	characteristic, complemented
129	#65372	C₂²	1	1	yes	characteristic, complemented
130	#65372	C₂²	1	1	yes	characteristic, complemented
131	#65371	C₂²	1	1	yes	characteristic, complemented
132	#65349	C₂²	1	1	yes	characteristic, complemented
133	#65348	C₂²	1	1	yes	characteristic, complemented
134	#65347	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65346	C₂²	1	1	yes	characteristic, complemented
137	#65345	C₂²	1	1	yes	characteristic, complemented
138	#65339	C₂²	1	1	yes	characteristic, complemented
139	#65336	C₂²	1	1	yes	characteristic, complemented
140	#65329	C₂²	1	1	yes	characteristic, complemented
141	#65326	C₂²	1	1	yes	characteristic
142	#65320	C₂²	1	1	yes	characteristic, complemented
143	#65317	C₂²	1	1	yes	characteristic, complemented
144	#65308	C₂²	1	1	yes	characteristic, complemented
145	#65305	C₂²	1	1	yes	characteristic, complemented
146	#65289	C₂²	1	1	yes	characteristic, complemented
147	#65133	C₂²	1	1	yes	characteristic, complemented
148	#65133	C₂²	1	1	yes	characteristic, complemented
149	#65130	C₂²	1	1	yes	characteristic, complemented
150	#65130	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, complemented
154	#65122	C₂²	1	1	yes	characteristic, complemented
155	#65108	C₂²	1	1	yes	characteristic, complemented
156	#65108	C₂²	1	1	yes	characteristic, complemented
157	#65107	C₂²	1	1	yes	characteristic, complemented
158	#65107	C₂²	1	1	yes	characteristic, complemented
159	#65107	C₂²	1	1	yes	characteristic, complemented
160	#65107	C₂²	1	1	yes	characteristic, complemented
161	#65095	C₂²	1	1	yes	characteristic
162	#65095	C₂²	1	1	yes	characteristic
163	#65095	C₂²	1	1	yes	characteristic
164	#65095	C₂²	1	1	yes	characteristic, complemented
165	#65095	C₂²	1	1	yes	characteristic, complemented
166	#65095	C₂²	1	1	yes	characteristic, complemented
167	#65093	C₂²	1	1	yes	characteristic
168	#65092	C₂²	1	1	yes	characteristic
169	#65091	C₂²	1	1	yes	characteristic, complemented
170	#65091	C₂²	1	1	yes	characteristic, complemented
171	D₅×#103	C₂²	1	1	yes	characteristic, complemented
172	D₅×#103	C₂²	1	1	yes	characteristic, complemented
173	#65089	C₂²	1	1	yes	characteristic, complemented
174	#65086	C₂²	1	1	yes	characteristic, complemented
175	#65086	C₂²	1	1	yes	characteristic, complemented
176	#65084	C₂²	1	1	yes	characteristic, complemented
177	#65081	C₂²	1	1	yes	characteristic, complemented
178	#65081	C₂²	1	1	yes	characteristic, complemented
179	#65076	C₂²	1	1	yes	characteristic, complemented
180	#65076	C₂²	1	1	yes	characteristic, complemented
181	#65062	C₂²	1	1	yes	characteristic
182	#65062	C₂²	1	1	yes	characteristic, complemented
183	#65061	C₂²	1	1	yes	characteristic
184	#65060	C₂²	1	1	yes	characteristic
185	#65057	C₂²	1	1	yes	characteristic, complemented
186	#65054	C₂²	1	1	yes	characteristic, complemented
187	#65027	C₂²	1	1	yes	characteristic, complemented
188	#65027	C₂²	1	1	yes	characteristic, complemented
189	#65023	C₂²	1	1	yes	characteristic
190	#65023	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic
193	#65009	C₂²	1	1	yes	characteristic, complemented
194	#65009	C₂²	1	1	yes	characteristic, complemented
195	#65001	C₂²	1	1	yes	characteristic, complemented
196	#64997	C₂²	1	1	yes	characteristic, complemented
197	#64994	C₂²	1	1	yes	characteristic, complemented
198	#64992	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	#64982	C₂²	1	1	yes	characteristic, complemented
201	#64978	C₂²	1	1	yes	characteristic, complemented
202	#64974	C₂²	1	1	yes	characteristic, complemented
203	#60813	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	D₅×#41	—	4	2	no	—
207	D₅×#41	—	4	2	no	—
208	C₂×#713	—	2	1	no	—
209	C₂×#713	C₂³	1	1	yes	characteristic
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₅	—	2	1	no	—
212	C₂×Q₈×D₅	—	2	1	no	—
213	C₂×Q₈×D₅	—	4	2	no	—
214	C₂×Q₈×D₅	—	4	2	no	—
215	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
220	C₂×#711	—	2	1	no	—
221	C₂×#711	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₅	—	2	1	no	—
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
226	C₂×#709	—	2	1	no	—
227	C₂×#709	—	2	1	no	—
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₅	—	2	1	no	—
230	C₂²×C₄×D₅	—	2	1	no	—
231	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
232	C₂²×Dic₁₀	—	2	1	no	—
233	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
234	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
242	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
243	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
244	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×#126	—	2	1	no	—
246	C₅×#124	—	2	1	no	—
247	C₅×#124	C₂³	1	1	yes	characteristic
248	C₅×#124	C₂³	1	1	yes	characteristic
249	C₅×#124	C₂³	1	1	yes	characteristic
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×#123	—	2	1	no	—
253	C₅×C₂²⋊Q₈	—	2	1	no	—
254	C₅×C₂²⋊Q₈	—	2	1	no	—
255	C₅×C₂²⋊Q₈	—	2	1	no	—
256	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₅×#121	C₂³	1	1	yes	characteristic
258	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
260	C₅×#117	C₂³	1	1	yes	characteristic
261	#4093	—	2	1	no	—
262	#4093	C₂³	1	1	yes	characteristic
263	#4093	C₂³	1	1	yes	characteristic
264	#4093	C₂³	1	1	yes	characteristic
265	#4092	—	2	1	no	—
266	#4092	—	2	1	no	—
267	#4092	—	2	1	no	—
268	#4092	C₂³	1	1	yes	characteristic
269	Q₈×Dic₅	C₂³	1	1	yes	characteristic
270	#4090	—	2	1	no	—
271	#4090	C₂³	1	1	yes	characteristic
272	#4090	C₂³	1	1	yes	characteristic
273	#4090	C₂³	1	1	yes	characteristic
274	#4090	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	C₂×#689	C₂³	1	1	yes	characteristic
277	C₂×#689	C₂³	1	1	yes	characteristic
278	C₂×#688	C₂³	1	1	yes	characteristic
279	C₂×#688	C₂³	1	1	yes	characteristic
280	C₂×#688	C₂³	1	1	yes	characteristic
281	C₂×#688	C₂³	1	1	yes	characteristic
282	C₂×#688	C₂³	1	1	yes	characteristic
283	C₂×#688	C₂³	1	1	yes	characteristic
284	C₂×#688	C₂³	1	1	yes	characteristic
285	#4086	C₂³	1	1	yes	characteristic
286	#4085	—	2	1	no	—
287	#4085	—	2	1	no	—
288	#4084	—	2	1	no	—
289	#4084	C₂³	1	1	yes	characteristic
290	#4082	C₂³	1	1	yes	characteristic
291	#4082	C₂³	1	1	yes	characteristic
292	#4081	—	2	1	no	—
293	#4081	—	2	1	no	—
294	D₄×Dic₅	C₂³	1	1	yes	characteristic
295	C₂×#687	C₂³	1	1	yes	characteristic
296	C₂×#687	C₂³	1	1	yes	characteristic
297	C₂×#687	C₂³	1	1	yes	characteristic
298	C₂×#686	C₂³	1	1	yes	characteristic
299	C₂×#686	C₂³	1	1	yes	characteristic
300	C₂×#686	C₂³	1	1	yes	characteristic
301	#4076	C₂³	1	1	yes	characteristic
302	#4076	C₂³	1	1	yes	characteristic
303	#4075	—	2	1	no	—
304	#4075	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₂×#685	—	2	1	no	—
308	#4072	C₂³	1	1	yes	characteristic
309	#4070	—	2	1	no	—
310	#4070	—	2	1	no	—
311	#4065	—	4	2	no	—
312	#4064	—	4	2	no	—
313	#4064	—	4	2	no	—
314	#4062	—	4	2	no	—
315	#4060	—	4	2	no	—
316	D₅×SD₁₆	—	4	2	no	—
317	D₅×SD₁₆	—	4	2	no	—
318	#4057	—	4	2	no	—
319	C₂×D₄₀	C₂³	1	1	yes	characteristic
320	C₂×D₄₀	C₂³	1	1	yes	characteristic
321	C₂×#677	C₂³	1	1	yes	characteristic
322	C₂×#677	C₂³	1	1	yes	characteristic
323	C₂×#677	C₂³	1	1	yes	characteristic
324	C₂×#677	C₂³	1	1	yes	characteristic
325	C₂×#677	C₂³	1	1	yes	characteristic
326	C₂×#677	C₂³	1	1	yes	characteristic
327	C₂×#676	C₂³	1	1	yes	characteristic
328	C₂×#676	C₂³	1	1	yes	characteristic
329	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
331	#4044	—	2	1	no	—
332	#4044	—	2	1	no	—
333	#4043	—	2	1	no	—
334	#4043	—	2	1	no	—
335	#4043	—	2	1	no	—
336	#4042	—	2	1	no	—
337	#4042	—	2	1	no	—
338	#4042	—	2	1	no	—
339	#4042	—	2	1	no	—
340	#4042	—	2	1	no	—
341	#4041	—	2	1	no	—
342	#4041	C₂³	1	1	yes	characteristic
343	#4041	C₂³	1	1	yes	characteristic
344	#4040	—	2	1	no	—
345	#4040	—	2	1	no	—
346	#4040	—	2	1	no	—
347	#4040	—	2	1	no	—
348	#4040	—	2	1	no	—
349	#4040	—	2	1	no	—
350	#4040	—	2	1	no	—
351	#4040	—	2	1	no	—
352	#4039	—	2	1	no	—
353	#4039	—	2	1	no	—
354	#4039	—	2	1	no	—
355	#4039	C₂³	1	1	yes	characteristic
356	#4039	C₂³	1	1	yes	characteristic
357	#4038	D₄	1	1	yes	characteristic
358	#4038	D₄	1	1	yes	characteristic
359	#4038	C₂³	1	1	yes	characteristic
360	D₅×C₄⋊C₄	—	2	1	no	—
361	D₅×C₄⋊C₄	—	2	1	no	—
362	D₅×C₄⋊C₄	—	2	1	no	—
363	D₅×C₄⋊C₄	—	2	1	no	—
364	D₅×C₄⋊C₄	—	2	1	no	—
365	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
366	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
367	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
368	#4036	C₂³	1	1	yes	characteristic
369	#4035	—	2	1	no	—
370	#4034	—	2	1	no	—
371	#4034	—	2	1	no	—
372	#4034	—	2	1	no	—
373	#4034	—	2	1	no	—
374	#4034	C₂³	1	1	yes	characteristic
375	#4032	—	2	1	no	—
376	#4032	—	2	1	no	—
377	#4032	—	2	1	no	—
378	#4031	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4031	—	2	1	no	—
382	#4031	—	2	1	no	—
383	#4031	—	2	1	no	—
384	#4030	—	2	1	no	—
385	#4030	—	2	1	no	—
386	#4030	—	2	1	no	—
387	#4030	—	2	1	no	—
388	#4030	—	2	1	no	—
389	#4030	—	2	1	no	—
390	#4029	—	2	1	no	—
391	#4029	—	2	1	no	—
392	#4029	—	2	1	no	—
393	#4029	—	2	1	no	—
394	#4029	—	2	1	no	—
395	#4029	—	2	1	no	—
396	#4029	—	2	1	no	—
397	#4028	—	2	1	no	—
398	#4028	—	2	1	no	—
399	#4028	—	2	1	no	—
400	#4027	—	2	1	no	—
401	#4027	—	2	1	no	—
402	#4027	—	2	1	no	—
403	D₅×C₂²⋊C₄	—	2	1	no	—
404	D₅×C₂²⋊C₄	—	2	1	no	—
405	D₅×C₂²⋊C₄	—	2	1	no	—
406	D₅×C₂²⋊C₄	—	2	1	no	—
407	D₅×C₂²⋊C₄	—	2	1	no	—
408	D₅×C₂²⋊C₄	—	2	1	no	—
409	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
410	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
411	#4025	—	2	1	no	—
412	#4024	—	2	1	no	—
413	#4024	—	2	1	no	—
414	#4024	—	2	1	no	—
415	#4024	—	2	1	no	—
416	#4023	—	2	1	no	—
417	#4023	D₄	1	1	yes	characteristic
418	#4023	D₄	1	1	yes	characteristic
419	#4021	C₂³	1	1	yes	characteristic
420	#4021	C₂³	1	1	yes	characteristic
421	#4020	C₂³	1	1	yes	characteristic
422	C₄×D₂₀	—	2	1	no	—
423	C₄×D₂₀	—	2	1	no	—
424	C₄×D₂₀	C₂³	1	1	yes	characteristic
425	C₄×D₂₀	C₂³	1	1	yes	characteristic
426	#4018	—	2	1	no	—
427	#4018	—	2	1	no	—
428	#4018	C₂³	1	1	yes	characteristic
429	#4018	C₂³	1	1	yes	characteristic
430	C₄²×D₅	C₂³	1	1	yes	characteristic
431	C₄²×D₅	C₂³	1	1	yes	characteristic
432	#4016	C₂³	1	1	yes	characteristic
433	#4015	C₂³	1	1	yes	characteristic
434	#4015	C₂³	1	1	yes	characteristic
435	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
437	C₅×#103	C₂³	1	1	yes	characteristic
438	C₅×#103	C₂³	1	1	yes	characteristic
439	C₅×#103	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#103	C₂³	1	1	yes	characteristic
442	C₅×#103	C₂³	1	1	yes	characteristic
443	C₅×#102	C₂³	1	1	yes	characteristic
444	C₅×#102	C₂³	1	1	yes	characteristic
445	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3967	C₂³	1	1	yes	characteristic
453	#3967	C₂³	1	1	yes	characteristic
454	#3967	C₂³	1	1	yes	characteristic
455	#3964	C₂³	1	1	yes	characteristic
456	#3964	C₂³	1	1	yes	characteristic
457	C₂²⋊#168	C₂³	1	1	yes	characteristic
458	C₂²⋊#168	C₂³	1	1	yes	characteristic
459	#3953	C₂³	1	1	yes	characteristic
460	#3953	C₂³	1	1	yes	characteristic
461	#3952	C₂³	1	1	yes	characteristic
462	#3952	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3948	C₂³	1	1	yes	characteristic
467	#3948	C₂³	1	1	yes	characteristic
468	#3948	C₂³	1	1	yes	characteristic
469	#3948	C₂³	1	1	yes	characteristic
470	#3948	C₂³	1	1	yes	characteristic
471	#3947	C₂³	1	1	yes	characteristic
472	#3947	C₂³	1	1	yes	characteristic
473	#3946	C₂³	1	1	yes	characteristic
474	#3946	C₂³	1	1	yes	characteristic
475	#3946	C₂³	1	1	yes	characteristic
476	#3946	C₂³	1	1	yes	characteristic
477	C₈×Dic₅	C₂³	1	1	yes	characteristic
478	C₈×Dic₅	C₂³	1	1	yes	characteristic
479	#3942	C₂³	1	1	yes	characteristic
480	#3942	C₂³	1	1	yes	characteristic
481	#3942	C₂³	1	1	yes	characteristic
482	#3942	C₂³	1	1	yes	characteristic
483	#3942	C₂³	1	1	yes	characteristic
484	#3942	C₂³	1	1	yes	characteristic
485	#3941	C₂³	1	1	yes	characteristic
486	#3941	C₂³	1	1	yes	characteristic
487	C₄⋊#168	C₂³	1	1	yes	characteristic
488	C₄⋊#168	C₂³	1	1	yes	characteristic
489	#3935	C₂³	1	1	yes	characteristic
490	C₄×#168	C₂³	1	1	yes	characteristic
491	#3494	—	5	1	no	—
492	C₂×#536	—	5	1	no	—
493	#3225	—	5	1	no	—
494	#3225	—	5	1	no	—
495	#3225	—	5	1	no	—
496	#3225	D₅	1	1	yes	characteristic, complemented
497	#3221	—	5	1	no	—
498	#3221	—	5	1	no	—
499	#3221	—	5	1	no	—
500	#3221	—	5	1	no	—
501	#3218	—	5	1	no	—
502	#3218	—	5	1	no	—
503	#3213	—	5	1	no	—
504	#3213	—	5	1	no	—
505	#3211	—	5	1	no	—
506	#3211	—	5	1	no	—
507	#3206	—	5	1	no	—
508	#3206	—	5	1	no	—
509	#3154	—	5	1	no	—
510	#3154	—	5	1	no	—
511	#3137	—	5	1	no	—
512	#3137	—	5	1	no	—
513	#3046	—	5	1	no	—
514	#3046	—	5	1	no	—
515	#3042	—	5	1	no	—
516	#3042	—	5	1	no	—
517	#3006	—	5	1	no	—
518	#3004	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#448	—	5	1	no	—
521	#2924	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
525	C₅×#41	—	4	1	no	—
526	C₅×#41	—	4	1	no	—
527	C₂×C₅×Q₈	—	2	1	no	—
528	C₂×C₅×Q₈	—	2	1	no	—
529	C₂×C₅×Q₈	—	4	1	no	—
530	C₂×C₅×Q₈	—	4	1	no	—
531	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×D₄	—	2	1	no	—
536	C₂×C₅×D₄	—	2	1	no	—
537	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
539	C₂²×C₄×C₅	—	2	1	no	—
540	C₂²×C₄×C₅	—	2	1	no	—
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
543	C₂×C₂²⋊D₅	—	2	1	no	—
544	C₂×C₂²⋊D₅	—	2	1	no	—
545	C₂×C₂²⋊D₅	—	2	1	no	—
546	C₂×C₂²⋊D₅	—	2	1	no	—
547	C₂×C₂²⋊D₅	—	2	1	no	—
548	C₂×C₂²⋊D₅	—	2	1	no	—
549	C₂×C₂²⋊D₅	—	2	1	no	—
550	C₂×C₂²⋊D₅	—	2	1	no	—
551	C₂×C₂²⋊D₅	—	2	1	no	—
552	C₂²×Dic₅	—	2	1	no	—
553	C₂²×Dic₅	—	2	1	no	—
554	C₂²×Dic₅	—	2	1	no	—
555	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
556	#713	—	2	2	no	—
557	#713	—	2	2	no	—
558	#713	—	2	2	no	—
559	#713	—	2	2	no	—
560	#713	—	8	2	no	—
561	Q₈×D₅	—	2	2	no	—
562	Q₈×D₅	—	2	2	no	—
563	Q₈×D₅	—	2	2	no	—
564	Q₈×D₅	—	2	2	no	—
565	Q₈×D₅	—	4	1	no	—
566	Q₈×D₅	—	4	1	no	—
567	Q₈×D₅	—	4	1	no	—
568	Q₈×D₅	—	4	1	no	—
569	Q₈×D₅	—	4	1	no	—
570	Q₈×D₅	—	4	1	no	—
571	Q₈×D₅	—	4	4	no	—
572	Q₈×D₅	—	4	4	no	—
573	#711	—	2	2	no	—
574	#711	—	2	2	no	—
575	#711	—	4	4	no	—
576	D₄×D₅	—	2	2	no	—
577	D₄×D₅	—	2	2	no	—
578	D₄×D₅	—	4	1	no	—
579	D₄×D₅	—	4	1	no	—
580	D₄×D₅	—	4	4	no	—
581	D₄×D₅	—	8	2	no	—
582	#709	—	4	1	no	—
583	#709	—	4	1	no	—
584	#709	—	4	4	no	—
585	#709	—	8	2	no	—
586	C₂×D₂₀	—	2	1	no	—
587	C₂×D₂₀	—	2	1	no	—
588	C₂×D₂₀	—	2	1	no	—
589	C₂×D₂₀	—	2	1	no	—
590	C₂×D₂₀	—	2	1	no	—
591	C₂×D₂₀	—	2	1	no	—
592	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
593	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
594	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
595	C₂×C₄×D₅	—	2	2	no	—
596	C₂×C₄×D₅	—	2	2	no	—
597	C₂×C₄×D₅	—	2	1	no	—
598	C₂×C₄×D₅	—	2	1	no	—
599	C₂×C₄×D₅	—	2	1	no	—
600	C₂×C₄×D₅	—	2	1	no	—
601	C₂×C₄×D₅	—	2	1	no	—
602	C₂×C₄×D₅	—	2	1	no	—
603	C₂×C₄×D₅	—	2	1	no	—
604	C₂×C₄×D₅	—	2	1	no	—
605	C₂×C₄×D₅	—	2	1	no	—
606	C₂×C₄×D₅	—	2	1	no	—
607	C₂×C₄×D₅	—	2	1	no	—
608	C₂×C₄×D₅	—	2	1	no	—
609	C₂×C₄×D₅	—	2	1	no	—
610	C₂×C₄×D₅	—	4	4	no	—
611	C₂×C₄×D₅	—	4	4	no	—
612	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
613	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
614	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
615	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
616	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
617	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
618	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
620	C₂×Dic₁₀	—	2	1	no	—
621	C₂×Dic₁₀	—	2	1	no	—
622	C₂×Dic₁₀	—	2	1	no	—
623	C₂×Dic₁₀	—	2	1	no	—
624	C₂×Dic₁₀	—	2	1	no	—
625	C₂×Dic₁₀	—	2	1	no	—
626	C₂×Dic₁₀	—	2	1	no	—
627	C₂×Dic₁₀	—	4	1	no	—
628	C₂×Dic₁₀	—	4	1	no	—
629	C₂×Dic₁₀	—	4	4	no	—
630	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
631	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
632	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
633	C₅×Q₁₆	—	4	1	no	—
634	C₅×Q₁₆	—	4	1	no	—
635	C₅×Q₁₆	—	4	1	no	—
636	C₅×SD₁₆	—	4	1	no	—
637	C₅×SD₁₆	—	4	1	no	—
638	C₅×SD₁₆	—	4	1	no	—
639	C₅×SD₁₆	—	4	1	no	—
640	C₅×D₈	—	4	1	no	—
641	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
642	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
643	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₅×C₄⋊C₄	—	2	1	no	—
646	C₅×C₄⋊C₄	—	2	1	no	—
647	C₅×C₄⋊C₄	—	2	1	no	—
648	C₅×C₄⋊C₄	—	2	1	no	—
649	C₅×C₄⋊C₄	—	2	1	no	—
650	C₅×C₄⋊C₄	—	2	1	no	—
651	C₅×C₄⋊C₄	—	2	1	no	—
652	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
653	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
654	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₅×C₂²⋊C₄	—	2	1	no	—
657	C₅×C₂²⋊C₄	—	2	1	no	—
658	C₅×C₂²⋊C₄	—	2	1	no	—
659	C₅×C₂²⋊C₄	—	2	1	no	—
660	C₅×C₂²⋊C₄	—	2	1	no	—
661	C₅×C₂²⋊C₄	—	2	1	no	—
662	C₅×C₂²⋊C₄	—	2	1	no	—
663	C₅×C₂²⋊C₄	—	2	1	no	—
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
666	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
667	C₄²×C₅	—	2	1	no	—
668	C₄²×C₅	C₂⁴	1	1	yes	characteristic
669	C₄²×C₅	C₂⁴	1	1	yes	characteristic
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
677	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
678	#689	—	4	1	no	—
679	#689	—	4	1	no	—
680	#689	—	4	1	no	—
681	#688	—	4	1	no	—
682	#688	—	4	1	no	—
683	#688	—	4	1	no	—
684	#688	—	4	1	no	—
685	#688	—	4	1	no	—
686	#688	—	4	1	no	—
687	#688	—	4	1	no	—
688	#687	—	4	1	no	—
689	#687	—	4	1	no	—
690	#687	—	4	1	no	—
691	#686	—	4	1	no	—
692	#686	—	4	1	no	—
693	#686	—	4	1	no	—
694	#685	—	2	1	no	—
695	#685	—	2	1	no	—
696	#685	—	2	1	no	—
697	#685	—	2	1	no	—
698	#685	—	2	1	no	—
699	#685	—	2	1	no	—
700	#685	—	2	1	no	—
701	#685	—	2	1	no	—
702	#685	—	2	1	no	—
703	#685	—	2	1	no	—
704	#685	—	2	1	no	—
705	#685	—	2	1	no	—
706	#685	—	2	1	no	—
707	#685	—	2	1	no	—
708	#685	—	2	1	no	—
709	#685	—	2	1	no	—
710	#685	—	2	1	no	—
711	#685	—	2	1	no	—
712	#685	—	2	1	no	—
713	#685	—	2	1	no	—
714	#685	C₂×D₄	1	1	yes	characteristic
715	#685	C₂×D₄	1	1	yes	characteristic
716	#685	C₂×D₄	1	1	yes	characteristic
717	#685	C₂×D₄	1	1	yes	characteristic
718	C₄⋊Dic₅	—	2	1	no	—
719	C₄⋊Dic₅	—	2	1	no	—
720	C₄⋊Dic₅	—	2	1	no	—
721	C₄⋊Dic₅	—	2	1	no	—
722	C₄⋊Dic₅	—	2	1	no	—
723	C₄⋊Dic₅	—	2	1	no	—
724	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
725	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
726	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
727	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	C₂×D₄	1	1	yes	characteristic
743	#683	C₂×D₄	1	1	yes	characteristic
744	#683	C₂×D₄	1	1	yes	characteristic
745	#683	C₂×D₄	1	1	yes	characteristic
746	C₄×Dic₅	—	2	1	no	—
747	C₄×Dic₅	—	2	1	no	—
748	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
749	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
750	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
751	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
752	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
753	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
754	C₂×#168	C₂⁴	1	1	yes	characteristic
755	C₂×#168	C₂⁴	1	1	yes	characteristic
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	D₄₀	—	4	1	no	—
759	D₄₀	—	4	1	no	—
760	#677	—	4	1	no	—
761	#677	—	4	1	no	—
762	#677	—	4	1	no	—
763	#677	—	4	1	no	—
764	#677	—	4	1	no	—
765	#677	—	4	1	no	—
766	#676	—	2	2	no	—
767	#676	—	2	2	no	—
768	C₈×D₅	—	2	2	no	—
769	C₈×D₅	—	2	2	no	—
770	C₂²×#41	—	5	1	no	—
771	C₂³×Q₈	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#137	—	5	1	no	—
774	C₂×AGL(1,ℤ/8)	—	5	1	no	—
775	C₂×AGL(1,ℤ/8)	—	5	1	no	—
776	C₂×#135	—	5	1	no	—
777	C₂×#135	—	5	1	no	—
778	C₂²×SD₁₆	—	5	1	no	—
779	C₂²×SD₁₆	—	5	1	no	—
780	#555	—	10	1	no	—
781	#553	—	10	1	no	—
782	#553	—	10	1	no	—
783	#551	—	10	1	no	—
784	#551	—	10	1	no	—
785	#547	—	10	1	no	—
786	#546	—	10	1	no	—
787	#546	—	10	1	no	—
788	#544	—	5	1	no	—
789	#542	—	5	1	no	—
790	#542	C₂×D₅	1	1	yes	characteristic, complemented
791	#540	—	5	1	no	—
792	#540	—	5	1	no	—
793	#536	—	5	1	no	—
794	#536	—	5	1	no	—
795	#536	—	5	1	no	—
796	#536	—	5	1	no	—
797	#536	—	5	1	no	—
798	#536	—	5	1	no	—
799	#536	—	5	1	no	—
800	#536	—	10	1	no	—
801	#536	—	10	1	no	—
802	#536	—	10	1	no	—
803	#536	—	10	1	no	—
804	#536	C₂×D₅	1	1	yes	characteristic, complemented
805	#535	—	5	1	no	—
806	#532	—	5	1	no	—
807	#532	—	5	1	no	—
808	C₂×C₄⋊Q₈	—	5	1	no	—
809	C₂×C₄⋊Q₈	—	5	1	no	—
810	#529	—	5	1	no	—
811	#529	—	5	1	no	—
812	C₂×#124	—	5	1	no	—
813	C₂×#124	—	5	1	no	—
814	#525	—	5	1	no	—
815	C₂×#123	—	10	1	no	—
816	C₂×#123	—	10	1	no	—
817	C₂×C₂²⋊Q₈	—	10	1	no	—
818	C₂×C₂²⋊Q₈	—	10	1	no	—
819	C₂×#121	—	5	1	no	—
820	#520	—	5	1	no	—
821	#518	—	5	1	no	—
822	C₂×#117	—	5	1	no	—
823	#497	—	5	1	no	—
824	#497	—	5	1	no	—
825	#497	—	5	1	no	—
826	#497	C₂×D₅	1	1	yes	characteristic, complemented
827	#496	—	5	1	no	—
828	#496	—	5	1	no	—
829	#496	—	5	1	no	—
830	#496	—	5	1	no	—
831	#495	—	5	1	no	—
832	#495	—	5	1	no	—
833	#495	—	5	1	no	—
834	#495	C₂×D₅	1	1	yes	characteristic, complemented
835	#492	—	5	1	no	—
836	#492	—	5	1	no	—
837	#492	—	5	1	no	—
838	#492	—	5	1	no	—
839	#491	—	5	1	no	—
840	#491	—	5	1	no	—
841	#491	—	5	1	no	—
842	#491	—	5	1	no	—
843	#489	—	5	1	no	—
844	#489	—	5	1	no	—
845	#489	—	5	1	no	—
846	#489	C₂×D₅	1	1	yes	characteristic, complemented
847	#488	—	5	1	no	—
848	#488	—	5	1	no	—
849	#488	—	5	1	no	—
850	#488	—	5	1	no	—
851	#487	—	5	1	no	—
852	#487	—	5	1	no	—
853	#487	—	5	1	no	—
854	#487	C₂×D₅	1	1	yes	characteristic, complemented
855	#464	—	5	1	no	—
856	#464	—	5	1	no	—
857	#464	—	5	1	no	—
858	#464	C₂×D₅	1	1	yes	characteristic, complemented
859	#463	—	5	1	no	—
860	#463	—	5	1	no	—
861	#463	—	5	1	no	—
862	#463	—	5	1	no	—
863	#463	—	5	1	no	—
864	#463	—	5	1	no	—
865	#463	—	5	1	no	—
866	#463	—	5	1	no	—
867	#463	—	5	1	no	—
868	#463	—	5	1	no	—
869	#463	—	5	1	no	—
870	#463	C₂×D₅	1	1	yes	characteristic, complemented
871	#462	—	5	1	no	—
872	#462	—	5	1	no	—
873	#462	—	5	1	no	—
874	#462	C₂×D₅	1	1	yes	characteristic, complemented
875	#461	—	5	1	no	—
876	#461	—	5	1	no	—
877	#461	—	5	1	no	—
878	#461	—	5	1	no	—
879	#461	—	5	1	no	—
880	#461	—	5	1	no	—
881	#461	—	5	1	no	—
882	#461	—	5	1	no	—
883	#461	—	5	1	no	—
884	#461	—	5	1	no	—
885	#461	—	5	1	no	—
886	#461	C₂×D₅	1	1	yes	characteristic, complemented
887	#452	—	5	1	no	—
888	#452	C₂×D₅	1	1	yes	characteristic, complemented
889	#451	—	5	1	no	—
890	#451	—	5	1	no	—
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
893	#451	C₂×D₅	1	1	yes	characteristic, complemented
894	#450	—	5	1	no	—
895	#449	—	5	1	no	—
896	#449	—	5	1	no	—
897	#449	—	5	1	no	—
898	#449	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	C₂×D₅	1	1	yes	characteristic
901	#448	—	5	1	no	—
902	#448	—	5	1	no	—
903	#448	—	5	1	no	—
904	#448	—	5	1	no	—
905	#448	—	5	1	no	—
906	#448	—	5	1	no	—
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#448	—	5	1	no	—
910	#448	—	5	1	no	—
911	#448	—	5	1	no	—
912	#448	—	5	1	no	—
913	#448	—	5	1	no	—
914	#448	—	5	1	no	—
915	#448	C₂×D₅	1	1	yes	characteristic, complemented
916	#447	—	5	1	no	—
917	#447	—	5	1	no	—
918	#447	—	5	1	no	—
919	#433	—	5	1	no	—
920	#433	—	5	1	no	—
921	#433	—	5	1	no	—
922	#433	C₂×D₅	1	1	yes	characteristic, complemented
923	#432	—	5	1	no	—
924	#432	—	5	1	no	—
925	#431	—	5	1	no	—
926	#431	—	5	1	no	—
927	#424	—	5	1	no	—
928	#424	—	5	1	no	—
929	#419	—	5	1	no	—
930	#419	—	5	1	no	—
931	#417	—	5	1	no	—
932	#417	—	5	1	no	—
933	#416	—	5	1	no	—
934	#416	—	5	1	no	—
935	C₂×#103	—	5	1	no	—
936	C₂×#103	—	5	1	no	—
937	#407	—	5	1	no	—
938	C₂×C₂²⋊C₈	—	5	1	no	—
939	#405	—	5	1	no	—
940	#405	—	5	1	no	—
941	C₂³×C₅	—	2	1	no	—
942	C₂³×C₅	—	2	1	no	—
943	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂²×D₅	—	2	2	no	—
945	C₂²×D₅	—	2	2	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	2	1	no	—
948	C₂²×D₅	—	2	1	no	—
949	C₂²×D₅	—	4	1	no	—
950	C₂²×D₅	—	4	2	no	—
951	C₂²×D₅	—	4	2	no	—
952	C₂²×D₅	—	4	2	no	—
953	C₂²×D₅	—	4	2	no	—
954	C₂²×D₅	—	8	1	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
957	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
958	C₅×Q₈	—	2	1	no	—
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	2	1	no	—
961	C₅×Q₈	—	2	1	no	—
962	C₅×Q₈	—	2	1	no	—
963	C₅×Q₈	—	2	1	no	—
964	C₅×Q₈	—	2	1	no	—
965	C₅×Q₈	—	2	1	no	—
966	C₅×Q₈	—	4	2	no	—
967	C₅×Q₈	—	8	1	no	—
968	C₅×D₄	—	2	1	no	—
969	C₅×D₄	—	2	1	no	—
970	C₅×D₄	—	2	1	no	—
971	C₅×D₄	—	2	1	no	—
972	C₅×D₄	—	4	2	no	—
973	C₅×D₄	—	8	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	2	1	no	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	4	2	no	—
983	C₂×C₄×C₅	—	4	2	no	—
984	C₂×C₄×C₅	—	8	1	no	—
985	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
986	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
987	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
988	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
989	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
990	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
991	C₂²⋊D₅	—	4	2	no	—
992	C₂²⋊D₅	—	4	2	no	—
993	C₂²⋊D₅	—	4	2	no	—
994	C₂²⋊D₅	—	4	2	no	—
995	C₂²⋊D₅	—	4	2	no	—
996	C₂²⋊D₅	—	8	1	no	—
997	C₂²⋊D₅	—	8	1	no	—
998	C₂²⋊D₅	—	8	1	no	—
999	C₂²⋊D₅	—	8	1	no	—
1000	C₂×Dic₅	—	2	2	no	—
1001	C₂×Dic₅	—	2	1	no	—
1002	C₂×Dic₅	—	2	1	no	—
1003	C₂×Dic₅	—	2	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	2	1	no	—
1006	C₂×Dic₅	—	4	2	no	—
1007	C₂×Dic₅	—	4	2	no	—
1008	C₂×Dic₅	—	8	1	no	—
1009	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1010	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1011	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1012	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1013	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1014	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1015	D₂₀	—	2	1	no	—
1016	D₂₀	—	2	1	no	—
1017	D₂₀	—	2	1	no	—
1018	D₂₀	—	2	1	no	—
1019	D₂₀	—	2	1	no	—
1020	D₂₀	—	2	1	no	—
1021	D₂₀	—	4	2	no	—
1022	D₂₀	—	4	2	no	—
1023	D₂₀	—	4	2	no	—
1024	D₂₀	—	4	2	no	—
1025	D₂₀	—	8	1	no	—
1026	D₂₀	—	8	1	no	—
1027	C₄×D₅	—	2	2	no	—
1028	C₄×D₅	—	2	2	no	—
1029	C₄×D₅	—	2	2	no	—
1030	C₄×D₅	—	2	1	no	—
1031	C₄×D₅	—	2	1	no	—
1032	C₄×D₅	—	2	2	no	—
1033	C₄×D₅	—	4	1	no	—
1034	C₄×D₅	—	4	1	no	—
1035	C₄×D₅	—	4	2	no	—
1036	C₄×D₅	—	4	2	no	—
1037	C₄×D₅	—	4	2	no	—
1038	C₄×D₅	—	4	2	no	—
1039	C₄×D₅	—	4	2	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	4	2	no	—
1043	C₄×D₅	—	8	1	no	—
1044	C₄×D₅	—	8	1	no	—
1045	C₄×D₅	—	8	1	no	—
1046	C₄×D₅	—	8	1	no	—
1047	C₄×D₅	—	8	1	no	—
1048	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1049	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1050	Dic₁₀	—	2	1	no	—
1051	Dic₁₀	—	2	1	no	—
1052	Dic₁₀	—	2	1	no	—
1053	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	2	1	no	—
1056	Dic₁₀	—	4	2	no	—
1057	Dic₁₀	—	4	2	no	—
1058	Dic₁₀	—	4	2	no	—
1059	Dic₁₀	—	4	2	no	—
1060	Dic₁₀	—	4	2	no	—
1061	Dic₁₀	—	4	2	no	—
1062	Dic₁₀	—	8	1	no	—
1063	C₅×C₈	—	2	1	no	—
1064	C₅×C₈	—	2	1	no	—
1065	C₅×C₈	—	2	1	no	—
1066	C₅×C₈	—	2	1	no	—
1067	#168	—	2	1	no	—
1068	#168	—	2	1	no	—
1069	#168	—	2	1	no	—
1070	#168	—	2	1	no	—
1071	C₂×#41	—	5	1	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	5	1	no	—
1074	C₂×#41	—	5	1	no	—
1075	C₂×#41	—	10	1	no	—
1076	C₂×#41	—	10	1	no	—
1077	C₂×#41	—	10	1	no	—
1078	C₂×#41	—	10	1	no	—
1079	C₂×#41	—	20	2	no	—
1080	C₂×#41	—	20	2	no	—
1081	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1082	C₂²×Q₈	—	5	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	—	10	1	no	—
1089	C₂²×Q₈	—	10	1	no	—
1090	C₂²×Q₈	—	10	1	no	—
1091	C₂²×Q₈	—	20	2	no	—
1092	C₂²×Q₈	—	20	2	no	—
1093	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1094	C₂²×D₄	—	5	1	no	—
1095	C₂²×D₄	—	5	1	no	—
1096	C₂²×D₄	—	10	1	no	—
1097	C₂²×D₄	—	10	1	no	—
1098	C₂³×C₄	—	5	1	no	—
1099	C₂³×C₄	—	10	1	no	—
1100	C₂³×C₄	—	10	1	no	—
1101	#137	—	20	2	no	—
1102	#137	—	20	2	no	—
1103	AGL(1,ℤ/8)	—	20	2	no	—
1104	AGL(1,ℤ/8)	—	20	2	no	—
1105	#135	—	20	2	no	—
1106	#135	—	20	2	no	—
1107	C₂×Q₁₆	—	5	1	no	—
1108	C₂×Q₁₆	—	5	1	no	—
1109	C₂×Q₁₆	—	5	1	no	—
1110	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1111	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1112	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1113	C₂×SD₁₆	—	5	1	no	—
1114	C₂×SD₁₆	—	5	1	no	—
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	5	1	no	—
1119	C₂×SD₁₆	—	5	1	no	—
1120	C₂×SD₁₆	—	5	1	no	—
1121	C₂×SD₁₆	—	5	1	no	—
1122	C₂×SD₁₆	—	5	1	no	—
1123	C₂×SD₁₆	—	5	1	no	—
1124	C₂×SD₁₆	—	5	1	no	—
1125	C₂×SD₁₆	—	5	1	no	—
1126	C₂×SD₁₆	—	5	1	no	—
1127	C₂×SD₁₆	—	5	1	no	—
1128	C₂×SD₁₆	—	5	1	no	—
1129	C₂×SD₁₆	—	20	2	no	—
1130	C₂×SD₁₆	—	20	2	no	—
1131	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1132	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1133	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1134	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1135	C₂×D₈	—	5	1	no	—
1136	C₂×D₈	—	5	1	no	—
1137	C₂×D₈	—	5	1	no	—
1138	C₂×D₈	—	5	1	no	—
1139	C₂×D₈	—	5	1	no	—
1140	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1141	C₂×M₁₆	—	5	1	no	—
1142	C₂×M₁₆	—	5	1	no	—
1143	C₂²×C₈	—	5	1	no	—
1144	C₂²×C₈	—	5	1	no	—
1145	C₄⋊Q₈	—	5	1	no	—
1146	C₄⋊Q₈	—	5	1	no	—
1147	C₄⋊Q₈	—	5	1	no	—
1148	C₄⋊Q₈	—	5	1	no	—
1149	C₄⋊Q₈	—	5	1	no	—
1150	C₄⋊Q₈	—	5	1	no	—
1151	C₄⋊Q₈	—	5	1	no	—
1152	C₄⋊Q₈	—	10	1	no	—
1153	C₄⋊Q₈	—	10	1	no	—
1154	C₄⋊Q₈	—	10	1	no	—
1155	C₄⋊Q₈	—	10	1	no	—
1156	C₄⋊Q₈	—	10	1	no	—
1157	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1158	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1159	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1160	#127	—	5	1	no	—
1161	#127	—	5	1	no	—
1162	#126	—	2	1	no	—
1163	#126	—	10	1	no	—
1164	#126	—	10	1	no	—
1165	#126	—	10	1	no	—
1166	#125	—	5	1	no	—
1167	#125	—	5	1	no	—
1168	#125	—	10	1	no	—
1169	#124	—	2	1	no	—
1170	#124	—	5	1	no	—
1171	#124	—	5	1	no	—
1172	#124	—	5	1	no	—
1173	#124	—	5	1	no	—
1174	#124	—	5	1	no	—
1175	#124	—	5	1	no	—
1176	#124	—	5	1	no	—
1177	#124	—	10	1	no	—
1178	#124	—	10	1	no	—
1179	#124	—	10	1	no	—
1180	#124	—	10	1	no	—
1181	#124	—	10	1	no	—
1182	#124	—	10	1	no	—
1183	#124	—	10	1	no	—
1184	#124	C₂²×D₅	1	1	yes	characteristic
1185	#124	C₂²×D₅	1	1	yes	characteristic
1186	#124	C₂²×D₅	1	1	yes	characteristic
1187	#123	—	2	1	no	—
1188	#123	—	2	1	no	—
1189	#123	—	2	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	1	no	—
1194	#123	—	10	1	no	—
1195	#123	—	10	1	no	—
1196	#123	—	10	1	no	—
1197	#123	—	10	1	no	—
1198	#123	—	10	1	no	—
1199	#123	—	10	1	no	—
1200	#123	—	10	1	no	—
1201	#123	—	10	1	no	—
1202	#123	—	10	1	no	—
1203	#123	—	10	1	no	—
1204	#123	—	10	1	no	—
1205	#123	—	10	1	no	—
1206	#123	—	10	1	no	—
1207	#123	—	10	1	no	—
1208	#123	—	10	1	no	—
1209	#123	—	10	1	no	—
1210	#123	—	10	1	no	—
1211	#123	—	10	1	no	—
1212	C₂²⋊Q₈	—	2	1	no	—
1213	C₂²⋊Q₈	—	2	1	no	—
1214	C₂²⋊Q₈	—	2	1	no	—
1215	C₂²⋊Q₈	—	5	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	—	10	1	no	—
1220	C₂²⋊Q₈	—	10	1	no	—
1221	C₂²⋊Q₈	—	10	1	no	—
1222	C₂²⋊Q₈	—	10	1	no	—
1223	C₂²⋊Q₈	—	10	1	no	—
1224	C₂²⋊Q₈	—	10	1	no	—
1225	C₂²⋊Q₈	—	10	1	no	—
1226	C₂²⋊Q₈	—	10	1	no	—
1227	C₂²⋊Q₈	—	10	1	no	—
1228	C₂²⋊Q₈	—	10	1	no	—
1229	C₂²⋊Q₈	—	10	1	no	—
1230	C₂²⋊Q₈	—	10	1	no	—
1231	C₂²⋊Q₈	—	10	1	no	—
1232	C₂²⋊Q₈	—	10	1	no	—
1233	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1234	#121	—	5	1	no	—
1235	#121	—	5	1	no	—
1236	#121	—	5	1	no	—
1237	#121	—	5	1	no	—
1238	#121	—	5	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#121	—	10	1	no	—
1246	#121	—	10	1	no	—
1247	#121	—	10	1	no	—
1248	#121	—	10	1	no	—
1249	#121	C₂²×D₅	1	1	yes	characteristic
1250	#120	—	10	1	no	—
1251	#120	—	10	1	no	—
1252	#120	—	10	1	no	—
1253	C₄×Q₈	—	5	1	no	—
1254	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1255	C₄×D₄	—	5	1	no	—
1256	C₄×D₄	—	5	1	no	—
1257	C₄×D₄	—	5	1	no	—
1258	C₄×D₄	—	5	1	no	—
1259	C₄×D₄	—	5	1	no	—
1260	C₄×D₄	—	10	1	no	—
1261	C₄×D₄	—	10	1	no	—
1262	C₄×D₄	—	10	1	no	—
1263	C₄×D₄	—	10	1	no	—
1264	C₄×D₄	—	10	1	no	—
1265	C₄×D₄	—	10	1	no	—
1266	C₄×D₄	—	10	1	no	—
1267	C₄×D₄	—	10	1	no	—
1268	C₄×D₄	—	10	1	no	—
1269	C₄×D₄	—	10	1	no	—
1270	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1271	#117	—	5	1	no	—
1272	#117	—	5	1	no	—
1273	#117	—	5	1	no	—
1274	#117	—	5	1	no	—
1275	#117	—	5	1	no	—
1276	#117	—	5	1	no	—
1277	#117	—	5	1	no	—
1278	#117	—	5	1	no	—
1279	#117	—	10	1	no	—
1280	#117	—	10	1	no	—
1281	#117	—	10	1	no	—
1282	#117	C₂²×D₅	1	1	yes	characteristic
1283	C₂×C₄⋊C₄	—	5	1	no	—
1284	C₂×C₄⋊C₄	—	5	1	no	—
1285	C₂×C₄⋊C₄	—	5	1	no	—
1286	C₂×C₄⋊C₄	—	10	1	no	—
1287	C₂×C₄⋊C₄	—	10	1	no	—
1288	C₂×C₄⋊C₄	—	10	1	no	—
1289	C₂×C₄⋊C₄	—	10	1	no	—
1290	C₂×C₄⋊C₄	—	10	1	no	—
1291	C₂×C₂²⋊C₄	—	5	1	no	—
1292	C₂×C₂²⋊C₄	—	5	1	no	—
1293	C₂×C₂²⋊C₄	—	10	1	no	—
1294	C₂×C₂²⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	10	1	no	—
1297	C₂×C₂²⋊C₄	—	10	1	no	—
1298	C₂×C₂²⋊C₄	—	10	1	no	—
1299	C₂×C₂²⋊C₄	—	10	1	no	—
1300	C₂×C₄²	—	5	1	no	—
1301	C₂×C₄²	—	5	1	no	—
1302	C₄⋊C₈	—	5	1	no	—
1303	C₄⋊C₈	—	5	1	no	—
1304	C₄⋊C₈	—	5	1	no	—
1305	C₄⋊C₈	—	5	1	no	—
1306	C₄⋊C₈	—	5	1	no	—
1307	C₄⋊C₈	—	5	1	no	—
1308	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1309	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1310	#103	—	5	1	no	—
1311	#103	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	—	5	1	no	—
1321	#103	—	5	1	no	—
1322	#103	—	5	1	no	—
1323	#103	—	5	1	no	—
1324	#103	—	5	1	no	—
1325	#103	—	5	1	no	—
1326	#103	—	5	1	no	—
1327	#103	—	5	1	no	—
1328	#103	C₂²×D₅	1	1	yes	characteristic
1329	#103	C₂²×D₅	1	1	yes	characteristic
1330	#103	C₂²×D₅	1	1	yes	characteristic
1331	#103	C₂²×D₅	1	1	yes	characteristic
1332	#103	C₂²×D₅	1	1	yes	characteristic
1333	#103	C₂²×D₅	1	1	yes	characteristic
1334	#102	—	5	1	no	—
1335	#102	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	—	5	1	no	—
1340	#102	C₂²×D₅	1	1	yes	characteristic
1341	#102	C₂²×D₅	1	1	yes	characteristic
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1349	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1350	#97	—	5	1	no	—
1351	#97	—	5	1	no	—
1352	#97	—	5	1	no	—
1353	#97	C₂²×D₅	1	1	yes	characteristic
1354	C₄×C₈	—	5	1	no	—
1355	C₄×C₈	—	5	1	no	—
1356	C₄×C₈	—	5	1	no	—
1357	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1358	C₂²×C₅	—	2	1	no	—
1359	C₂²×C₅	—	2	1	no	—
1360	C₂²×C₅	—	2	1	no	—
1361	C₂²×C₅	—	4	1	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	—	4	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	—	4	1	no	—
1366	C₂²×C₅	—	4	1	no	—
1367	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1368	C₂×D₅	—	2	1	no	—
1369	C₂×D₅	—	2	1	no	—
1370	C₂×D₅	—	2	1	no	—
1371	C₂×D₅	—	2	1	no	—
1372	C₂×D₅	—	4	4	no	—
1373	C₂×D₅	—	4	1	no	—
1374	C₂×D₅	—	4	1	no	—
1375	C₂×D₅	—	4	1	no	—
1376	C₂×D₅	—	4	1	no	—
1377	C₂×D₅	—	4	1	no	—
1378	C₂×D₅	—	4	1	no	—
1379	C₂×D₅	—	4	1	no	—
1380	C₂×D₅	—	4	1	no	—
1381	C₂×D₅	—	4	1	no	—
1382	C₂×D₅	—	8	4	no	—
1383	C₂×D₅	—	16	2	no	—
1384	C₂×D₅	#535	1	2	yes	—
1385	C₂×D₅	#577	1	2	yes	—
1386	C₄×C₅	—	2	1	no	—
1387	C₄×C₅	—	2	1	no	—
1388	C₄×C₅	—	2	1	no	—
1389	C₄×C₅	—	2	1	no	—
1390	C₄×C₅	—	2	1	no	—
1391	C₄×C₅	—	4	1	no	—
1392	C₄×C₅	—	4	1	no	—
1393	C₄×C₅	—	4	1	no	—
1394	C₄×C₅	—	4	1	no	—
1395	C₄×C₅	—	4	1	no	—
1396	C₄×C₅	—	4	1	no	—
1397	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1398	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1399	Dic₅	—	2	1	no	—
1400	Dic₅	—	2	1	no	—
1401	Dic₅	—	2	1	no	—
1402	Dic₅	—	2	1	no	—
1403	Dic₅	—	2	1	no	—
1404	Dic₅	—	4	1	no	—
1405	Dic₅	—	4	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	—	4	1	no	—
1408	Dic₅	—	4	1	no	—
1409	Dic₅	#535	1	2	yes	—
1410	C₂⁴	—	5	1	no	—
1411	C₂⁴	—	10	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	#41	—	4	1	no	—
1414	#41	—	4	1	no	—
1415	#41	—	10	2	no	—
1416	#41	—	10	2	no	—
1417	#41	—	10	2	no	—
1418	#41	—	10	2	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	20	1	no	—
1422	#41	—	20	1	no	—
1423	#41	—	20	4	no	—
1424	#41	—	20	4	no	—
1425	#41	—	40	2	no	—
1426	#41	—	40	2	no	—
1427	C₂×Q₈	—	2	1	no	—
1428	C₂×Q₈	—	2	1	no	—
1429	C₂×Q₈	—	4	1	no	—
1430	C₂×Q₈	—	4	1	no	—
1431	C₂×Q₈	—	5	1	no	—
1432	C₂×Q₈	—	5	1	no	—
1433	C₂×Q₈	—	5	1	no	—
1434	C₂×Q₈	—	10	1	no	—
1435	C₂×Q₈	—	10	1	no	—
1436	C₂×Q₈	—	10	1	no	—
1437	C₂×Q₈	—	10	1	no	—
1438	C₂×Q₈	—	10	1	no	—
1439	C₂×Q₈	—	10	1	no	—
1440	C₂×Q₈	—	10	2	no	—
1441	C₂×Q₈	—	10	2	no	—
1442	C₂×Q₈	—	10	2	no	—
1443	C₂×Q₈	—	10	2	no	—
1444	C₂×Q₈	—	10	1	no	—
1445	C₂×Q₈	—	20	1	no	—
1446	C₂×Q₈	—	20	1	no	—
1447	C₂×Q₈	—	20	4	no	—
1448	C₂×Q₈	—	20	1	no	—
1449	C₂×Q₈	—	20	1	no	—
1450	C₂×Q₈	—	20	1	no	—
1451	C₂×Q₈	—	20	1	no	—
1452	C₂×Q₈	—	20	1	no	—
1453	C₂×Q₈	—	20	1	no	—
1454	C₂×Q₈	—	20	4	no	—
1455	C₂×Q₈	—	20	4	no	—
1456	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1457	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1458	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1459	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	2	1	no	—
1462	C₂×D₄	—	5	1	no	—
1463	C₂×D₄	—	5	1	no	—
1464	C₂×D₄	—	5	1	no	—
1465	C₂×D₄	—	10	1	no	—
1466	C₂×D₄	—	10	1	no	—
1467	C₂×D₄	—	10	1	no	—
1468	C₂×D₄	—	10	1	no	—
1469	C₂×D₄	—	10	2	no	—
1470	C₂×D₄	—	10	2	no	—
1471	C₂×D₄	—	10	1	no	—
1472	C₂×D₄	—	10	1	no	—
1473	C₂×D₄	—	10	1	no	—
1474	C₂×D₄	—	10	1	no	—
1475	C₂×D₄	—	10	1	no	—
1476	C₂×D₄	—	10	1	no	—
1477	C₂×D₄	—	10	1	no	—
1478	C₂×D₄	—	10	1	no	—
1479	C₂×D₄	—	10	1	no	—
1480	C₂×D₄	—	10	1	no	—
1481	C₂×D₄	—	10	1	no	—
1482	C₂×D₄	—	20	1	no	—
1483	C₂×D₄	—	20	1	no	—
1484	C₂×D₄	—	20	4	no	—
1485	C₂×D₄	—	40	2	no	—
1486	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1487	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	5	1	no	—
1492	C₂²×C₄	—	5	1	no	—
1493	C₂²×C₄	—	5	1	no	—
1494	C₂²×C₄	—	5	1	no	—
1495	C₂²×C₄	—	5	1	no	—
1496	C₂²×C₄	—	5	1	no	—
1497	C₂²×C₄	—	5	1	no	—
1498	C₂²×C₄	—	5	1	no	—
1499	C₂²×C₄	—	5	1	no	—
1500	C₂²×C₄	—	10	2	no	—
1501	C₂²×C₄	—	10	2	no	—
1502	C₂²×C₄	—	10	1	no	—
1503	C₂²×C₄	—	10	1	no	—
1504	C₂²×C₄	—	10	1	no	—
1505	C₂²×C₄	—	10	1	no	—
1506	C₂²×C₄	—	10	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	20	4	no	—
1519	C₂²×C₄	—	20	4	no	—
1520	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1521	Q₁₆	—	4	1	no	—
1522	Q₁₆	—	4	1	no	—
1523	Q₁₆	—	4	1	no	—
1524	Q₁₆	—	20	1	no	—
1525	Q₁₆	—	20	1	no	—
1526	Q₁₆	—	20	1	no	—
1527	SD₁₆	—	4	1	no	—
1528	SD₁₆	—	4	1	no	—
1529	SD₁₆	—	4	1	no	—
1530	SD₁₆	—	4	1	no	—
1531	SD₁₆	—	20	1	no	—
1532	SD₁₆	—	20	1	no	—
1533	SD₁₆	—	20	1	no	—
1534	SD₁₆	—	20	1	no	—
1535	SD₁₆	—	20	1	no	—
1536	SD₁₆	—	20	1	no	—
1537	SD₁₆	—	20	1	no	—
1538	SD₁₆	—	20	1	no	—
1539	SD₁₆	—	20	1	no	—
1540	SD₁₆	—	20	1	no	—
1541	SD₁₆	—	20	1	no	—
1542	SD₁₆	—	20	1	no	—
1543	SD₁₆	—	20	1	no	—
1544	SD₁₆	—	20	1	no	—
1545	SD₁₆	—	20	1	no	—
1546	SD₁₆	—	20	1	no	—
1547	D₈	—	4	1	no	—
1548	D₈	—	20	1	no	—
1549	D₈	—	20	1	no	—
1550	D₈	—	20	1	no	—
1551	D₈	—	20	1	no	—
1552	D₈	—	20	1	no	—
1553	M₁₆	—	10	2	no	—
1554	M₁₆	—	10	2	no	—
1555	C₂×C₈	—	5	1	no	—
1556	C₂×C₈	—	5	1	no	—
1557	C₂×C₈	—	5	1	no	—
1558	C₂×C₈	—	5	1	no	—
1559	C₂×C₈	—	10	2	no	—
1560	C₂×C₈	—	10	2	no	—
1561	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1562	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1563	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1564	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	5	1	no	—
1578	C₄⋊C₄	—	5	1	no	—
1579	C₄⋊C₄	—	5	1	no	—
1580	C₄⋊C₄	—	10	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	—	10	1	no	—
1598	C₄⋊C₄	—	10	1	no	—
1599	C₄⋊C₄	—	10	1	no	—
1600	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1601	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1602	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1603	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	5	1	no	—
1614	C₂²⋊C₄	—	5	1	no	—
1615	C₂²⋊C₄	—	5	1	no	—
1616	C₂²⋊C₄	—	5	1	no	—
1617	C₂²⋊C₄	—	5	1	no	—
1618	C₂²⋊C₄	—	5	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1646	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1647	C₄²	—	2	1	no	—
1648	C₄²	—	5	1	no	—
1649	C₄²	—	5	1	no	—
1650	C₄²	—	5	1	no	—
1651	C₄²	—	5	1	no	—
1652	C₄²	—	5	1	no	—
1653	C₄²	—	5	1	no	—
1654	C₄²	—	10	1	no	—
1655	C₄²	—	10	1	no	—
1656	C₄²	C₂³×D₅	1	1	yes	characteristic
1657	C₄²	C₂³×D₅	1	1	yes	characteristic
1658	C₂×C₅	—	4	1	no	—
1659	C₂×C₅	—	8	1	no	—
1660	C₂×C₅	—	8	1	no	—
1661	C₂×C₅	C₂×#535	1	1	yes	characteristic
1662	C₂×C₅	C₂×#577	1	1	yes	characteristic
1663	C₂×C₅	#3586	1	1	yes	characteristic
1664	D₅	—	2	2	no	—
1665	D₅	—	2	2	no	—
1666	D₅	—	8	1	no	—
1667	D₅	—	8	1	no	—
1668	D₅	—	8	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	5	1	no	—
1672	C₂³	—	5	1	no	—
1673	C₂³	—	10	2	no	—
1674	C₂³	—	10	2	no	—
1675	C₂³	—	10	1	no	—
1676	C₂³	—	10	1	no	—
1677	C₂³	—	10	1	no	—
1678	C₂³	—	20	1	no	—
1679	C₂³	—	20	2	no	—
1680	C₂³	—	20	2	no	—
1681	C₂³	—	20	2	no	—
1682	C₂³	—	20	2	no	—
1683	C₂³	—	40	1	no	—
1684	C₂³	—	40	1	no	—
1685	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	2	1	no	—
1689	Q₈	—	2	1	no	—
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	4	2	no	—
1695	Q₈	—	8	1	no	—
1696	Q₈	—	10	1	no	—
1697	Q₈	—	10	1	no	—
1698	Q₈	—	10	1	no	—
1699	Q₈	—	10	1	no	—
1700	Q₈	—	10	1	no	—
1701	Q₈	—	10	1	no	—
1702	Q₈	—	20	2	no	—
1703	Q₈	—	20	2	no	—
1704	Q₈	—	20	2	no	—
1705	Q₈	—	20	2	no	—
1706	Q₈	—	20	2	no	—
1707	Q₈	—	20	2	no	—
1708	Q₈	—	40	1	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	2	1	no	—
1713	D₄	—	4	2	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	10	1	no	—
1716	D₄	—	10	1	no	—
1717	D₄	—	10	1	no	—
1718	D₄	—	10	1	no	—
1719	D₄	—	10	1	no	—
1720	D₄	—	10	1	no	—
1721	D₄	—	20	2	no	—
1722	D₄	—	20	2	no	—
1723	D₄	—	20	2	no	—
1724	D₄	—	20	2	no	—
1725	D₄	—	20	2	no	—
1726	D₄	—	20	2	no	—
1727	D₄	—	20	2	no	—
1728	D₄	—	20	2	no	—
1729	D₄	—	20	2	no	—
1730	D₄	—	40	1	no	—
1731	D₄	—	40	1	no	—
1732	D₄	—	40	1	no	—
1733	D₄	—	40	1	no	—
1734	D₄	—	40	1	no	—
1735	D₄	—	40	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	2	1	no	—
1738	C₂×C₄	—	2	1	no	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	5	1	no	—
1747	C₂×C₄	—	5	2	no	—
1748	C₂×C₄	—	5	2	no	—
1749	C₂×C₄	—	5	1	no	—
1750	C₂×C₄	—	5	1	no	—
1751	C₂×C₄	—	5	1	no	—
1752	C₂×C₄	—	5	1	no	—
1753	C₂×C₄	—	5	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	10	2	no	—
1756	C₂×C₄	—	10	2	no	—
1757	C₂×C₄	—	10	2	no	—
1758	C₂×C₄	—	10	2	no	—
1759	C₂×C₄	—	10	2	no	—
1760	C₂×C₄	—	10	1	no	—
1761	C₂×C₄	—	10	1	no	—
1762	C₂×C₄	—	10	1	no	—
1763	C₂×C₄	—	10	1	no	—
1764	C₂×C₄	—	10	1	no	—
1765	C₂×C₄	—	10	1	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	20	1	no	—
1768	C₂×C₄	—	20	1	no	—
1769	C₂×C₄	—	20	2	no	—
1770	C₂×C₄	—	20	2	no	—
1771	C₂×C₄	—	20	2	no	—
1772	C₂×C₄	—	20	2	no	—
1773	C₂×C₄	—	20	2	no	—
1774	C₂×C₄	—	20	2	no	—
1775	C₂×C₄	—	20	2	no	—
1776	C₂×C₄	—	20	2	no	—
1777	C₂×C₄	—	20	2	no	—
1778	C₂×C₄	—	20	2	no	—
1779	C₂×C₄	—	40	1	no	—
1780	C₂×C₄	—	40	1	no	—
1781	C₂×C₄	—	40	1	no	—
1782	C₂×C₄	—	40	1	no	—
1783	C₂×C₄	—	40	1	no	—
1784	C₂×C₄	—	40	1	no	—
1785	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1786	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1787	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1788	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1791	C₈	—	2	1	no	—
1792	C₈	—	2	1	no	—
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	10	1	no	—
1796	C₈	—	10	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₅	#60813	1	1	yes	characteristic, complemented, Sylow
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	5	2	no	—
1810	C₂²	—	5	2	no	—
1811	C₂²	—	10	1	no	—
1812	C₂²	—	10	1	no	—
1813	C₂²	—	10	1	no	—
1814	C₂²	—	10	1	no	—
1815	C₂²	—	20	4	no	—
1816	C₂²	—	20	1	no	—
1817	C₂²	—	20	1	no	—
1818	C₂²	—	20	1	no	—
1819	C₂²	—	20	1	no	—
1820	C₂²	—	20	1	no	—
1821	C₂²	—	20	1	no	—
1822	C₂²	—	20	1	no	—
1823	C₂²	—	20	1	no	—
1824	C₂²	—	20	1	no	—
1825	C₂²	—	40	4	no	—
1826	C₂²	—	80	2	no	—
1827	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	2	1	no	—
1831	C₄	—	2	1	no	—
1832	C₄	—	2	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	—	4	1	no	—
1836	C₄	—	4	1	no	—
1837	C₄	—	4	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	5	2	no	—
1840	C₄	—	10	1	no	—
1841	C₄	—	10	1	no	—
1842	C₄	—	10	1	no	—
1843	C₄	—	10	1	no	—
1844	C₄	—	10	1	no	—
1845	C₄	—	20	1	no	—
1846	C₄	—	20	1	no	—
1847	C₄	—	20	1	no	—
1848	C₄	—	20	1	no	—
1849	C₄	—	20	1	no	—
1850	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1851	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1852	C₂	—	4	1	no	—
1853	C₂	—	8	1	no	—
1854	C₂	—	8	1	no	—
1855	C₂	—	10	2	no	—
1856	C₂	—	10	2	no	—
1857	C₂	—	40	1	no	—
1858	C₂	—	40	1	no	—
1859	C₂	—	40	1	no	—
1860	C₂	D₅×#535	1	1	yes	characteristic
1861	C₂	D₅×#577	1	1	yes	characteristic
1862	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×#3225	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3225	D₅
hypocenter	C₅	#60813
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3225

Complements

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

N	H ≅ G/N	type
1. #10618451	C₂	semidirect
2. D₅×#536	C₂	semidirect
3. C₅×#3225	C₂	semidirect
4. #10615195	C₂	semidirect
5. #10615140	C₂	semidirect
6. #10613607	C₂	semidirect
7. #10613603	C₂	semidirect
8. #10613556	C₂	semidirect
9. #10613553	C₂	semidirect
10. #10613415	C₂	semidirect
11. #10613412	C₂	semidirect
12. #10613333	C₂	semidirect
13. #10613330	C₂	semidirect
14. #10612336	C₂	semidirect
15. #10612334	C₂	semidirect
16. #10612273	C₂	semidirect
17. #10612268	C₂	semidirect
18. #10612214	C₂	semidirect
19. #10612210	C₂	semidirect
20. #10612163	C₂	semidirect
21. #10612161	C₂	semidirect
22. #10611957	C₂	semidirect
23. #10611955	C₂	semidirect
24. #10611934	C₂	semidirect
25. #10611914	C₂	semidirect
26. #10611858	C₂	semidirect
27. #10611815	C₂	semidirect
28. D₅×#448	C₂	semidirect
29. #10611767	C₂	semidirect
30. #10611128	C₂	semidirect
31. #10611105	C₂	semidirect
34. C₅×#542	C₂²	semidirect
35. C₅×#536	C₂²	semidirect
36. #66159	C₂²	semidirect
37. #66150	C₂²	semidirect
39. C₂×#4064	C₂²	semidirect
40. C₂×#4064	C₂²	semidirect
43. C₂×D₅×SD₁₆	C₂²	semidirect
44. C₂×D₅×SD₁₆	C₂²	semidirect
46. #66063	C₂²	semidirect
50. D₅×C₄⋊Q₈	C₂²	semidirect
51. D₅×C₄⋊Q₈	C₂²	semidirect
58. #66008	C₂²	semidirect
59. D₅×#124	C₂²	semidirect
60. D₅×#124	C₂²	semidirect
68. #65977	C₂²	semidirect
76. #65953	C₂²	semidirect
79. #65908	C₂²	semidirect
81. #65879	C₂²	semidirect
82. #65869	C₂²	semidirect
83. #65860	C₂²	semidirect
85. C₅×#497	C₂²	semidirect
86. C₅×#495	C₂²	semidirect
87. C₅×#489	C₂²	semidirect
88. C₅×#487	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#463	C₂²	semidirect
91. C₅×#462	C₂²	semidirect
92. C₅×#461	C₂²	semidirect
93. C₅×#452	C₂²	semidirect
94. C₅×#451	C₂²	semidirect
96. C₅×#448	C₂²	semidirect
97. C₅×#433	C₂²	semidirect
99. #65527	C₂²	semidirect
100. #65516	C₂²	semidirect
101. #65516	C₂²	semidirect
102. #65480	C₂²	semidirect
103. #65479	C₂²	semidirect
104. #65479	C₂²	semidirect
105. #65475	C₂²	semidirect
106. #65475	C₂²	semidirect
107. #65475	C₂²	semidirect
108. #65474	C₂²	semidirect
109. #65471	C₂²	semidirect
110. #65471	C₂²	semidirect
111. #65465	C₂²	semidirect
112. #65464	C₂²	semidirect
113. #65464	C₂²	semidirect
117. #65458	C₂²	semidirect
118. #65457	C₂²	semidirect
119. #65455	C₂²	semidirect
120. #65454	C₂²	semidirect
121. #65451	C₂²	semidirect
122. #65451	C₂²	semidirect
124. #65443	C₂²	semidirect
125. #65442	C₂²	semidirect
126. #65382	C₂²	semidirect
127. #65378	C₂²	semidirect
128. #65374	C₂²	semidirect
129. #65372	C₂²	semidirect
130. #65372	C₂²	semidirect
131. #65371	C₂²	semidirect
132. #65349	C₂²	semidirect
133. #65348	C₂²	semidirect
134. #65347	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65346	C₂²	semidirect
137. #65345	C₂²	semidirect
138. #65339	C₂²	semidirect
139. #65336	C₂²	semidirect
140. #65329	C₂²	semidirect
142. #65320	C₂²	semidirect
143. #65317	C₂²	semidirect
144. #65308	C₂²	semidirect
145. #65305	C₂²	semidirect
146. #65289	C₂²	semidirect
147. #65133	C₂²	semidirect
148. #65133	C₂²	semidirect
149. #65130	C₂²	semidirect
150. #65130	C₂²	semidirect
151. #65128	C₂²	semidirect
152. #65128	C₂²	semidirect
153. #65124	C₂²	semidirect
154. #65122	C₂²	semidirect
155. #65108	C₂²	semidirect
156. #65108	C₂²	semidirect
157. #65107	C₂²	semidirect
158. #65107	C₂²	semidirect
159. #65107	C₂²	semidirect
160. #65107	C₂²	semidirect
164. #65095	C₂²	semidirect
165. #65095	C₂²	semidirect
166. #65095	C₂²	semidirect
169. #65091	C₂²	semidirect
170. #65091	C₂²	semidirect
171. D₅×#103	C₂²	semidirect
172. D₅×#103	C₂²	semidirect
173. #65089	C₂²	semidirect
174. #65086	C₂²	semidirect
175. #65086	C₂²	semidirect
176. #65084	C₂²	semidirect
177. #65081	C₂²	semidirect
178. #65081	C₂²	semidirect
179. #65076	C₂²	semidirect
180. #65076	C₂²	semidirect
182. #65062	C₂²	semidirect
185. #65057	C₂²	semidirect
186. #65054	C₂²	semidirect
187. #65027	C₂²	semidirect
188. #65027	C₂²	semidirect
190. #65023	C₂²	semidirect
193. #65009	C₂²	semidirect
194. #65009	C₂²	semidirect
195. #65001	C₂²	semidirect
196. #64997	C₂²	semidirect
197. #64994	C₂²	semidirect
198. #64992	C₂²	semidirect
199. #64986	C₂²	semidirect
200. #64982	C₂²	semidirect
201. #64978	C₂²	semidirect
202. #64974	C₂²	semidirect
496. #3225	D₅	semidirect
790. #542	C₂×D₅	semidirect
804. #536	C₂×D₅	semidirect
826. #497	C₂×D₅	semidirect
834. #495	C₂×D₅	semidirect
846. #489	C₂×D₅	semidirect
854. #487	C₂×D₅	semidirect
858. #464	C₂×D₅	semidirect
870. #463	C₂×D₅	semidirect
874. #462	C₂×D₅	semidirect
886. #461	C₂×D₅	semidirect
888. #452	C₂×D₅	semidirect
893. #451	C₂×D₅	semidirect
915. #448	C₂×D₅	semidirect
922. #433	C₂×D₅	semidirect
1799. C₅	#60813	semidirect

Maximal subgroups

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

subgroup	index
#10618451	2
D₅×#536	2
C₅×#3225	2
#10615195	2
#10615140	2
#10613607	2
#10613603	2
#10613556	2
#10613553	2
#10613415	2
#10613412	2
#10613333	2
#10613330	2
#10612336	2
#10612334	2
#10612273	2
#10612268	2
#10612214	2
#10612210	2
#10612163	2
#10612161	2
#10611957	2
#10611955	2
#10611934	2
#10611914	2
#10611858	2
#10611815	2
D₅×#448	2
#10611767	2
#10611128	2
#10611105	2
#60813	5