Subgroups — #12984296

Order 1280.

2120 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618186	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618139	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3216	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615085	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615040	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613615	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613614	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613613	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613612	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613430	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613429	C₂	1	1	yes	maximal, characteristic, complemented
12	#10613428	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613427	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612231	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612225	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612224	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612220	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612138	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612135	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612129	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612128	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611967	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611966	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611965	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611964	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611958	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611957	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#452	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611076	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611066	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×#41	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₅×#533	C₂²	1	1	yes	characteristic, complemented
35	C₅×#532	C₂²	1	1	yes	characteristic
36	#66162	C₂²	1	1	yes	characteristic
37	#66162	C₂²	1	1	yes	characteristic
38	C₂×#4065	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
41	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂×#4062	C₂²	1	1	yes	characteristic, complemented
43	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
44	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
46	#66066	C₂²	1	1	yes	characteristic, complemented
47	#66061	C₂²	1	1	yes	characteristic
48	#66061	C₂²	1	1	yes	characteristic, complemented
49	#66060	C₂²	1	1	yes	characteristic
50	#66060	C₂²	1	1	yes	characteristic, complemented
51	#66060	C₂²	1	1	yes	characteristic, complemented
52	#66052	C₂²	1	1	yes	characteristic
53	#66051	C₂²	1	1	yes	characteristic
54	#66026	—	2	1	no	—
55	#66026	—	2	1	no	—
56	#66011	C₂²	1	1	yes	characteristic
57	#66011	C₂²	1	1	yes	characteristic
58	#66010	C₂²	1	1	yes	characteristic
59	#66010	C₂²	1	1	yes	characteristic
60	#65969	—	2	1	no	—
61	#65964	—	2	1	no	—
62	#65961	C₂²	1	1	yes	characteristic, complemented
63	#65961	C₂²	1	1	yes	characteristic, complemented
64	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
65	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
66	#65945	—	2	1	no	—
67	#65944	—	2	1	no	—
68	#65944	—	2	1	no	—
69	#65943	—	2	1	no	—
70	#65916	—	2	1	no	—
71	#65915	C₂²	1	1	yes	characteristic
72	#65915	C₂²	1	1	yes	characteristic, complemented
73	#65910	C₂²	1	1	yes	characteristic
74	#65910	C₂²	1	1	yes	characteristic, complemented
75	#65908	—	2	1	no	—
76	#65882	—	2	1	no	—
77	#65881	—	2	1	no	—
78	#65881	—	2	1	no	—
79	C₄×D₄×D₅	—	2	1	no	—
80	#65861	—	2	1	no	—
81	#65861	—	2	1	no	—
82	#65813	C₂²	1	1	yes	characteristic, complemented
83	C₄×#709	C₂²	1	1	yes	characteristic
84	C₂×C₄×D₂₀	C₂²	1	1	yes	characteristic
85	C₅×#497	C₂²	1	1	yes	characteristic, complemented
86	C₅×#497	C₂²	1	1	yes	characteristic, complemented
87	C₅×#489	C₂²	1	1	yes	characteristic, complemented
88	C₅×#489	C₂²	1	1	yes	characteristic, complemented
89	C₅×#462	C₂²	1	1	yes	characteristic, complemented
90	C₅×#462	C₂²	1	1	yes	characteristic, complemented
91	C₅×#460	C₂²	1	1	yes	characteristic, complemented
92	C₅×#460	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic, complemented
94	C₅×#452	C₂²	1	1	yes	characteristic, complemented
95	C₅×#452	C₂²	1	1	yes	characteristic, complemented
96	C₅×#452	C₂²	1	1	yes	characteristic, complemented
97	C₅×#432	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65528	C₂²	1	1	yes	characteristic, complemented
100	#65527	C₂²	1	1	yes	characteristic, complemented
101	#65527	C₂²	1	1	yes	characteristic, complemented
102	#65478	C₂²	1	1	yes	characteristic, complemented
103	#65478	C₂²	1	1	yes	characteristic, complemented
104	#65477	C₂²	1	1	yes	characteristic, complemented
105	#65477	C₂²	1	1	yes	characteristic, complemented
106	#65476	C₂²	1	1	yes	characteristic, complemented
107	#65476	C₂²	1	1	yes	characteristic, complemented
108	#65476	C₂²	1	1	yes	characteristic, complemented
109	#65476	C₂²	1	1	yes	characteristic, complemented
110	#65475	C₂²	1	1	yes	characteristic, complemented
111	#65475	C₂²	1	1	yes	characteristic, complemented
112	#65475	C₂²	1	1	yes	characteristic, complemented
113	#65475	C₂²	1	1	yes	characteristic, complemented
114	#65463	C₂²	1	1	yes	characteristic, complemented
115	#65463	C₂²	1	1	yes	characteristic, complemented
116	#65462	C₂²	1	1	yes	characteristic, complemented
117	#65462	C₂²	1	1	yes	characteristic, complemented
118	#65461	C₂²	1	1	yes	characteristic, complemented
119	#65461	C₂²	1	1	yes	characteristic, complemented
120	#65460	C₂²	1	1	yes	characteristic, complemented
121	#65460	C₂²	1	1	yes	characteristic, complemented
122	#65459	C₂²	1	1	yes	characteristic, complemented
123	#65459	C₂²	1	1	yes	characteristic, complemented
124	#65458	C₂²	1	1	yes	characteristic, complemented
125	#65458	C₂²	1	1	yes	characteristic, complemented
126	#65380	C₂²	1	1	yes	characteristic, complemented
127	#65379	C₂²	1	1	yes	characteristic, complemented
128	#65375	C₂²	1	1	yes	characteristic, complemented
129	#65373	C₂²	1	1	yes	characteristic, complemented
130	#65372	C₂²	1	1	yes	characteristic, complemented
131	#65371	C₂²	1	1	yes	characteristic, complemented
132	#65363	C₂²	1	1	yes	characteristic, complemented
133	#65360	C₂²	1	1	yes	characteristic, complemented
134	#65346	C₂²	1	1	yes	characteristic, complemented
135	#65346	C₂²	1	1	yes	characteristic, complemented
136	#65343	C₂²	1	1	yes	characteristic, complemented
137	#65343	C₂²	1	1	yes	characteristic, complemented
138	#65336	C₂²	1	1	yes	characteristic
139	#65336	C₂²	1	1	yes	characteristic
140	#65334	C₂²	1	1	yes	characteristic, complemented
141	#65334	C₂²	1	1	yes	characteristic, complemented
142	#65319	C₂²	1	1	yes	characteristic, complemented
143	#65319	C₂²	1	1	yes	characteristic, complemented
144	#65315	C₂²	1	1	yes	characteristic, complemented
145	#65315	C₂²	1	1	yes	characteristic, complemented
146	#65215	C₂²	1	1	yes	characteristic, complemented
147	#65136	C₂²	1	1	yes	characteristic, complemented
148	#65134	C₂²	1	1	yes	characteristic, complemented
149	#65133	C₂²	1	1	yes	characteristic, complemented
150	#65125	C₂²	1	1	yes	characteristic
151	#65125	C₂²	1	1	yes	characteristic
152	#65125	C₂²	1	1	yes	characteristic, complemented
153	#65125	C₂²	1	1	yes	characteristic, complemented
154	#65118	C₂²	1	1	yes	characteristic, complemented
155	#65105	C₂²	1	1	yes	characteristic, complemented
156	#65104	C₂²	1	1	yes	characteristic, complemented
157	#65103	C₂²	1	1	yes	characteristic, complemented
158	#65102	C₂²	1	1	yes	characteristic, complemented
159	#65101	C₂²	1	1	yes	characteristic, complemented
160	#65100	C₂²	1	1	yes	characteristic, complemented
161	#65099	C₂²	1	1	yes	characteristic, complemented
162	#65098	C₂²	1	1	yes	characteristic, complemented
163	#65097	C₂²	1	1	yes	characteristic, complemented
164	#65096	C₂²	1	1	yes	characteristic, complemented
165	#65095	C₂²	1	1	yes	characteristic, complemented
166	#65094	C₂²	1	1	yes	characteristic, complemented
167	#65093	C₂²	1	1	yes	characteristic, complemented
168	#65092	C₂²	1	1	yes	characteristic, complemented
169	#65091	C₂²	1	1	yes	characteristic, complemented
170	D₅×#103	C₂²	1	1	yes	characteristic, complemented
171	#65073	C₂²	1	1	yes	characteristic, complemented
172	#65072	C₂²	1	1	yes	characteristic, complemented
173	#65071	C₂²	1	1	yes	characteristic, complemented
174	#65070	C₂²	1	1	yes	characteristic, complemented
175	#65069	C₂²	1	1	yes	characteristic, complemented
176	#65068	C₂²	1	1	yes	characteristic, complemented
177	#65067	C₂²	1	1	yes	characteristic, complemented
178	#65066	C₂²	1	1	yes	characteristic, complemented
179	#65065	C₂²	1	1	yes	characteristic, complemented
180	#65064	C₂²	1	1	yes	characteristic, complemented
181	#65063	C₂²	1	1	yes	characteristic, complemented
182	#65062	C₂²	1	1	yes	characteristic, complemented
183	#65061	C₂²	1	1	yes	characteristic, complemented
184	#65060	C₂²	1	1	yes	characteristic, complemented
185	#65059	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	#65026	C₂²	1	1	yes	characteristic, complemented
188	#65023	C₂²	1	1	yes	characteristic
189	#65022	C₂²	1	1	yes	characteristic
190	#65015	C₂²	1	1	yes	characteristic, complemented
191	#65015	C₂²	1	1	yes	characteristic, complemented
192	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
193	D₅×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
194	#65012	C₂²	1	1	yes	characteristic, complemented
195	#65005	C₂²	1	1	yes	characteristic, complemented
196	#65000	C₂²	1	1	yes	characteristic, complemented
197	#64999	C₂²	1	1	yes	characteristic, complemented
198	#64999	C₂²	1	1	yes	characteristic, complemented
199	#64995	C₂²	1	1	yes	characteristic, complemented
200	#64995	C₂²	1	1	yes	characteristic, complemented
201	#64995	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61580	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	D₅×#41	—	4	2	no	—
207	D₅×#41	—	4	2	no	—
208	D₅×#41	—	4	2	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	—	2	1	no	—
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×#713	C₂³	1	1	yes	characteristic
213	C₂×#713	C₂³	1	1	yes	characteristic
214	C₂×#713	C₂³	1	1	yes	characteristic
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×#711	—	2	1	no	—
220	C₂×#711	—	2	1	no	—
221	C₂×#711	C₂³	1	1	yes	characteristic
222	C₂×#711	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₅	—	2	1	no	—
224	C₂×D₄×D₅	—	2	1	no	—
225	C₂×D₄×D₅	—	2	1	no	—
226	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
227	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
228	C₂×#709	—	2	1	no	—
229	C₂×#709	—	2	1	no	—
230	C₂×#709	C₂³	1	1	yes	characteristic
231	C₂²×D₂₀	D₄	1	1	yes	characteristic
232	C₂²×C₄×D₅	—	2	1	no	—
233	C₂²×C₄×D₅	—	2	1	no	—
234	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
235	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
236	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
244	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
245	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
246	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
247	C₅×#127	C₂³	1	1	yes	characteristic
248	C₅×#125	—	2	1	no	—
249	C₅×#124	C₂³	1	1	yes	characteristic
250	C₅×#124	C₂³	1	1	yes	characteristic
251	C₅×C₂²⋊Q₈	—	2	1	no	—
252	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×#121	—	2	1	no	—
255	C₅×#121	—	2	1	no	—
256	C₄×C₅×Q₈	—	2	1	no	—
257	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
258	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	—	2	1	no	—
260	C₄×C₅×D₄	—	2	1	no	—
261	C₅×#117	—	2	1	no	—
262	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
263	#4093	—	2	1	no	—
264	#4092	—	2	1	no	—
265	#4092	C₂³	1	1	yes	characteristic
266	#4092	C₂³	1	1	yes	characteristic
267	#4092	C₂³	1	1	yes	characteristic
268	#4092	C₂³	1	1	yes	characteristic
269	#4092	C₂³	1	1	yes	characteristic
270	#4092	C₂³	1	1	yes	characteristic
271	#4092	C₂³	1	1	yes	characteristic
272	#4092	C₂³	1	1	yes	characteristic
273	Q₈×Dic₅	—	2	1	no	—
274	C₂×#689	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	#4086	—	2	1	no	—
283	#4085	—	2	1	no	—
284	#4085	—	2	1	no	—
285	#4084	—	2	1	no	—
286	#4084	C₂³	1	1	yes	characteristic
287	#4084	C₂³	1	1	yes	characteristic
288	#4084	C₂³	1	1	yes	characteristic
289	#4084	C₂³	1	1	yes	characteristic
290	#4083	—	2	1	no	—
291	#4083	—	2	1	no	—
292	#4083	—	2	1	no	—
293	#4083	—	2	1	no	—
294	#4081	—	2	1	no	—
295	#4081	—	2	1	no	—
296	D₄×Dic₅	—	2	1	no	—
297	C₂×#687	C₂³	1	1	yes	characteristic
298	C₂×#687	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	#4075	—	2	1	no	—
303	C₄×C₂²⋊D₅	—	2	1	no	—
304	C₄×C₂²⋊D₅	—	2	1	no	—
305	C₄×C₂²⋊D₅	—	2	1	no	—
306	C₄×C₂²⋊D₅	—	2	1	no	—
307	C₄×C₂²⋊D₅	—	2	1	no	—
308	C₄×C₂²⋊D₅	—	2	1	no	—
309	C₄×C₂²⋊D₅	—	2	1	no	—
310	C₂×#685	D₄	1	1	yes	characteristic
311	C₂×#685	D₄	1	1	yes	characteristic
312	#4072	C₂³	1	1	yes	characteristic
313	C₂×C₄⋊Dic₅	D₄	1	1	yes	characteristic
314	#4070	C₂³	1	1	yes	characteristic
315	#4065	—	4	2	no	—
316	#4064	—	4	2	no	—
317	#4064	—	4	2	no	—
318	D₅×Q₁₆	—	4	2	no	—
319	#4062	—	4	2	no	—
320	#4061	—	4	2	no	—
321	#4060	—	4	2	no	—
322	D₅×SD₁₆	—	4	2	no	—
323	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
324	C₂×D₄₀	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×#676	C₂³	1	1	yes	characteristic
330	C₂×#676	C₂³	1	1	yes	characteristic
331	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
332	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
333	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
334	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
335	#4044	—	2	1	no	—
336	#4044	—	2	1	no	—
337	#4043	—	2	1	no	—
338	#4043	—	2	1	no	—
339	#4043	C₂³	1	1	yes	characteristic
340	#4043	C₂³	1	1	yes	characteristic
341	#4042	—	2	1	no	—
342	#4042	—	2	1	no	—
343	#4042	—	2	1	no	—
344	#4042	—	2	1	no	—
345	#4042	—	2	1	no	—
346	#4042	—	2	1	no	—
347	#4041	—	2	1	no	—
348	#4041	—	2	1	no	—
349	#4041	—	2	1	no	—
350	#4041	—	2	1	no	—
351	#4041	C₂³	1	1	yes	characteristic
352	#4041	C₂³	1	1	yes	characteristic
353	#4040	—	2	1	no	—
354	#4040	—	2	1	no	—
355	#4040	—	2	1	no	—
356	#4040	—	2	1	no	—
357	#4040	—	2	1	no	—
358	#4040	—	2	1	no	—
359	#4040	—	2	1	no	—
360	#4040	—	2	1	no	—
361	#4040	—	2	1	no	—
362	#4040	—	2	1	no	—
363	#4039	—	2	1	no	—
364	#4039	—	2	1	no	—
365	#4039	—	2	1	no	—
366	#4039	—	2	1	no	—
367	#4038	C₂³	1	1	yes	characteristic
368	#4038	C₂³	1	1	yes	characteristic
369	D₅×C₄⋊C₄	—	2	1	no	—
370	D₅×C₄⋊C₄	—	2	1	no	—
371	D₅×C₄⋊C₄	—	2	1	no	—
372	D₅×C₄⋊C₄	—	2	1	no	—
373	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
374	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
375	#4035	—	2	1	no	—
376	#4035	—	2	1	no	—
377	#4034	—	2	1	no	—
378	#4034	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4030	—	2	1	no	—
384	#4030	—	2	1	no	—
385	#4029	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4028	—	2	1	no	—
388	#4028	—	2	1	no	—
389	#4028	—	2	1	no	—
390	#4028	—	2	1	no	—
391	#4027	—	2	1	no	—
392	#4027	—	2	1	no	—
393	#4027	—	2	1	no	—
394	#4027	—	2	1	no	—
395	D₅×C₂²⋊C₄	—	2	1	no	—
396	D₅×C₂²⋊C₄	—	2	1	no	—
397	D₅×C₂²⋊C₄	—	2	1	no	—
398	D₅×C₂²⋊C₄	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4024	—	2	1	no	—
401	#4024	—	2	1	no	—
402	#4024	—	2	1	no	—
403	#4022	—	2	1	no	—
404	#4022	—	2	1	no	—
405	#4022	—	2	1	no	—
406	#4021	—	2	1	no	—
407	#4021	—	2	1	no	—
408	#4021	C₂³	1	1	yes	characteristic
409	C₄×D₂₀	—	2	1	no	—
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	D₄	1	1	yes	characteristic
412	C₄×D₂₀	D₄	1	1	yes	characteristic
413	C₄×D₂₀	D₄	1	1	yes	characteristic
414	C₄×D₂₀	D₄	1	1	yes	characteristic
415	C₄×D₂₀	C₂³	1	1	yes	characteristic
416	C₄×D₂₀	C₂³	1	1	yes	characteristic
417	C₄×D₂₀	C₂³	1	1	yes	characteristic
418	C₄×D₂₀	C₂³	1	1	yes	characteristic
419	C₄×D₂₀	C₂³	1	1	yes	characteristic
420	C₄×D₂₀	C₂³	1	1	yes	characteristic
421	C₄×D₂₀	C₂³	1	1	yes	characteristic
422	#4018	—	2	1	no	—
423	#4018	—	2	1	no	—
424	#4018	—	2	1	no	—
425	#4018	—	2	1	no	—
426	C₄²×D₅	—	2	1	no	—
427	#4016	C₂³	1	1	yes	characteristic
428	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
429	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
433	C₅×#103	C₂³	1	1	yes	characteristic
434	C₅×#103	C₂³	1	1	yes	characteristic
435	C₅×#103	C₂³	1	1	yes	characteristic
436	C₅×#103	C₂³	1	1	yes	characteristic
437	C₅×#102	C₂³	1	1	yes	characteristic
438	C₅×#102	C₂³	1	1	yes	characteristic
439	C₅×#102	C₂³	1	1	yes	characteristic
440	C₅×#102	C₂³	1	1	yes	characteristic
441	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
442	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
443	C₅×#97	C₂³	1	1	yes	characteristic
444	C₅×#97	C₂³	1	1	yes	characteristic
445	#3967	C₂³	1	1	yes	characteristic
446	#3967	C₂³	1	1	yes	characteristic
447	#3967	C₂³	1	1	yes	characteristic
448	#3967	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	#3964	C₂³	1	1	yes	characteristic
454	#3964	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	#3953	C₂³	1	1	yes	characteristic
462	#3953	C₂³	1	1	yes	characteristic
463	#3952	C₂³	1	1	yes	characteristic
464	#3952	C₂³	1	1	yes	characteristic
465	#3952	C₂³	1	1	yes	characteristic
466	#3952	C₂³	1	1	yes	characteristic
467	#3952	C₂³	1	1	yes	characteristic
468	#3952	C₂³	1	1	yes	characteristic
469	#3952	C₂³	1	1	yes	characteristic
470	#3952	C₂³	1	1	yes	characteristic
471	#3950	C₂³	1	1	yes	characteristic
472	#3950	C₂³	1	1	yes	characteristic
473	#3949	C₂³	1	1	yes	characteristic
474	#3949	C₂³	1	1	yes	characteristic
475	#3948	C₂³	1	1	yes	characteristic
476	#3948	C₂³	1	1	yes	characteristic
477	#3948	C₂³	1	1	yes	characteristic
478	#3948	C₂³	1	1	yes	characteristic
479	#3942	C₂³	1	1	yes	characteristic
480	#3942	C₂³	1	1	yes	characteristic
481	#3941	C₂³	1	1	yes	characteristic
482	#3941	C₂³	1	1	yes	characteristic
483	#3940	C₂³	1	1	yes	characteristic
484	#3940	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	#3939	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	#3935	C₂³	1	1	yes	characteristic
491	#3520	—	5	1	no	—
492	D₄×#41	—	5	1	no	—
493	#3317	—	5	1	no	—
494	#3315	—	5	1	no	—
495	#3313	—	5	1	no	—
496	#3312	—	5	1	no	—
497	#3311	—	5	1	no	—
498	#3310	—	5	1	no	—
499	#3308	—	5	1	no	—
500	#3306	—	5	1	no	—
501	#3271	—	5	1	no	—
502	#3270	—	5	1	no	—
503	#3270	—	5	1	no	—
504	#3269	—	5	1	no	—
505	#3269	—	5	1	no	—
506	#3267	—	5	1	no	—
507	#3266	—	5	1	no	—
508	#3265	—	5	1	no	—
509	#3219	—	5	1	no	—
510	#3216	D₅	1	1	yes	characteristic, complemented
511	#3197	—	5	1	no	—
512	#3196	—	5	1	no	—
513	#3191	—	5	1	no	—
514	#3190	—	5	1	no	—
515	#3116	—	5	1	no	—
516	#3111	—	5	1	no	—
517	#3007	—	5	1	no	—
518	#3005	—	5	1	no	—
519	#3002	—	5	1	no	—
520	C₂×#452	—	5	1	no	—
521	#2973	—	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	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
526	C₅×#41	—	4	1	no	—
527	C₅×#41	—	4	1	no	—
528	C₅×#41	—	4	1	no	—
529	C₅×#41	—	4	1	no	—
530	C₂×C₅×Q₈	—	2	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	—	2	1	no	—
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
540	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
541	C₂²×C₄×C₅	—	2	1	no	—
542	C₂²×C₄×C₅	—	2	1	no	—
543	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
544	C₂²×C₄×C₅	C₂×D₄	1	1	yes	characteristic
545	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	C₂×C₂²⋊D₅	—	2	1	no	—
553	C₂×C₂²⋊D₅	—	2	1	no	—
554	C₂×C₂²⋊D₅	—	2	1	no	—
555	C₂×C₂²⋊D₅	—	2	1	no	—
556	C₂²×Dic₅	—	2	1	no	—
557	C₂²×Dic₅	—	2	1	no	—
558	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
559	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
560	#713	—	2	2	no	—
561	#713	—	2	2	no	—
562	#713	—	4	1	no	—
563	#713	—	4	1	no	—
564	#713	—	4	1	no	—
565	#713	—	4	1	no	—
566	#713	—	4	1	no	—
567	#713	—	4	1	no	—
568	#713	—	4	4	no	—
569	Q₈×D₅	—	2	2	no	—
570	Q₈×D₅	—	2	2	no	—
571	Q₈×D₅	—	4	1	no	—
572	Q₈×D₅	—	4	1	no	—
573	Q₈×D₅	—	4	1	no	—
574	Q₈×D₅	—	4	1	no	—
575	Q₈×D₅	—	4	1	no	—
576	Q₈×D₅	—	4	1	no	—
577	#711	—	2	2	no	—
578	#711	—	2	2	no	—
579	#711	—	4	1	no	—
580	#711	—	4	1	no	—
581	#711	—	4	4	no	—
582	#711	—	4	4	no	—
583	D₄×D₅	—	2	2	no	—
584	D₄×D₅	—	2	2	no	—
585	D₄×D₅	—	4	1	no	—
586	D₄×D₅	—	4	1	no	—
587	D₄×D₅	—	4	4	no	—
588	D₄×D₅	—	4	4	no	—
589	D₄×D₅	—	4	4	no	—
590	#709	—	2	2	no	—
591	#709	—	2	2	no	—
592	#709	—	4	4	no	—
593	#709	—	4	4	no	—
594	C₂×D₂₀	—	2	1	no	—
595	C₂×D₂₀	—	2	1	no	—
596	C₂×D₂₀	—	2	1	no	—
597	C₂×D₂₀	—	2	1	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	—	2	1	no	—
600	C₂×D₂₀	—	4	2	no	—
601	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
602	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
603	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
604	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
605	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
606	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
611	C₂×C₄×D₅	—	2	1	no	—
612	C₂×C₄×D₅	—	2	1	no	—
613	C₂×C₄×D₅	—	2	1	no	—
614	C₂×C₄×D₅	—	2	1	no	—
615	C₂×C₄×D₅	—	2	1	no	—
616	C₂×C₄×D₅	—	2	1	no	—
617	C₂×C₄×D₅	—	2	1	no	—
618	C₂×C₄×D₅	—	2	1	no	—
619	C₂×C₄×D₅	—	2	1	no	—
620	C₂×C₄×D₅	—	2	1	no	—
621	C₂×C₄×D₅	—	4	1	no	—
622	C₂×C₄×D₅	—	4	1	no	—
623	C₂×C₄×D₅	—	4	1	no	—
624	C₂×C₄×D₅	—	4	1	no	—
625	C₂×C₄×D₅	—	4	4	no	—
626	C₂×C₄×D₅	—	4	4	no	—
627	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
628	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
629	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
630	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
631	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
635	C₂×Dic₁₀	—	2	1	no	—
636	C₂×Dic₁₀	—	2	1	no	—
637	C₂×Dic₁₀	—	2	1	no	—
638	C₂×Dic₁₀	—	2	1	no	—
639	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
640	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
641	C₅×Q₁₆	—	4	1	no	—
642	C₅×Q₁₆	—	4	1	no	—
643	C₅×Q₁₆	—	4	1	no	—
644	C₅×Q₁₆	—	4	1	no	—
645	C₅×SD₁₆	—	4	1	no	—
646	C₅×SD₁₆	—	4	1	no	—
647	C₅×SD₁₆	—	4	1	no	—
648	C₅×SD₁₆	—	4	1	no	—
649	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
650	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
651	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
652	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	—	2	1	no	—
656	C₅×C₄⋊C₄	—	2	1	no	—
657	C₅×C₄⋊C₄	—	2	1	no	—
658	C₅×C₄⋊C₄	—	2	1	no	—
659	C₅×C₄⋊C₄	—	2	1	no	—
660	C₅×C₄⋊C₄	—	2	1	no	—
661	C₅×C₄⋊C₄	—	2	1	no	—
662	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
663	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
664	C₅×C₂²⋊C₄	—	2	1	no	—
665	C₅×C₂²⋊C₄	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	—	2	1	no	—
668	C₅×C₂²⋊C₄	—	2	1	no	—
669	C₅×C₂²⋊C₄	—	2	1	no	—
670	C₄²×C₅	—	2	1	no	—
671	C₄²×C₅	—	2	1	no	—
672	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
673	C₄²×C₅	C₂×D₄	1	1	yes	characteristic
674	C₄²×C₅	C₂⁴	1	1	yes	characteristic
675	C₄²×C₅	C₂⁴	1	1	yes	characteristic
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	—	2	1	no	—
680	C₂²⋊Dic₅	—	2	1	no	—
681	C₂²⋊Dic₅	—	2	1	no	—
682	#689	—	2	2	no	—
683	#689	—	2	2	no	—
684	#689	—	4	1	no	—
685	#689	—	4	1	no	—
686	#688	—	2	2	no	—
687	#688	—	2	2	no	—
688	#688	—	4	1	no	—
689	#688	—	4	1	no	—
690	#687	—	4	1	no	—
691	#687	—	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	#685	C₂×D₄	1	1	yes	characteristic
719	#685	C₂×D₄	1	1	yes	characteristic
720	#685	C₂×D₄	1	1	yes	characteristic
721	#685	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
727	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
728	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
729	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
730	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
731	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
743	#683	—	2	1	no	—
744	#683	—	2	1	no	—
745	#683	—	2	1	no	—
746	#683	—	2	1	no	—
747	#683	—	2	1	no	—
748	C₄×Dic₅	—	2	1	no	—
749	C₄×Dic₅	—	2	1	no	—
750	C₄×Dic₅	—	2	1	no	—
751	C₄×Dic₅	—	2	1	no	—
752	C₄×Dic₅	—	2	1	no	—
753	C₄×Dic₅	—	2	1	no	—
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	Dic₂₀	—	2	2	no	—
759	D₄₀	—	2	2	no	—
760	#677	—	2	2	no	—
761	#677	—	2	2	no	—
762	#676	—	4	1	no	—
763	#676	—	4	1	no	—
764	#676	—	4	1	no	—
765	#676	—	4	1	no	—
766	C₈×D₅	—	4	1	no	—
767	C₈×D₅	—	4	1	no	—
768	C₈×D₅	—	4	1	no	—
769	C₈×D₅	—	4	1	no	—
770	C₂²×#41	—	5	1	no	—
771	C₂²×#41	—	5	1	no	—
772	C₂×#137	—	5	1	no	—
773	C₂×#137	—	5	1	no	—
774	C₂×#137	—	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×Q₁₆	—	5	1	no	—
779	C₂²×SD₁₆	—	5	1	no	—
780	#556	—	5	1	no	—
781	#554	—	10	1	no	—
782	#552	—	5	1	no	—
783	#552	—	5	1	no	—
784	#551	—	10	1	no	—
785	#551	—	10	1	no	—
786	#550	—	5	1	no	—
787	D₄×Q₈	—	5	1	no	—
788	D₄×Q₈	—	5	1	no	—
789	#548	—	5	1	no	—
790	#548	—	5	1	no	—
791	#548	—	5	1	no	—
792	#548	—	5	1	no	—
793	#547	—	5	1	no	—
794	#547	—	5	1	no	—
795	#547	—	5	1	no	—
796	#547	—	10	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#546	—	10	1	no	—
802	D₄²	—	5	1	no	—
803	D₄²	—	10	1	no	—
804	#542	—	10	1	no	—
805	#539	—	10	1	no	—
806	#539	—	10	1	no	—
807	#533	C₂×D₅	1	1	yes	characteristic, complemented
808	#532	—	10	1	no	—
809	#532	C₂×D₅	1	1	yes	characteristic
810	#529	—	5	1	no	—
811	#525	—	5	1	no	—
812	#525	—	5	1	no	—
813	#525	—	5	1	no	—
814	#525	—	5	1	no	—
815	#525	—	10	1	no	—
816	#525	—	10	1	no	—
817	C₂×C₂²⋊Q₈	—	5	1	no	—
818	C₂×C₂²⋊Q₈	—	5	1	no	—
819	#520	—	10	1	no	—
820	C₄×#41	—	5	1	no	—
821	C₂×C₄×D₄	—	5	1	no	—
822	C₂×C₄×D₄	—	10	1	no	—
823	#497	—	5	1	no	—
824	#497	C₂×D₅	1	1	yes	characteristic, complemented
825	#497	C₂×D₅	1	1	yes	characteristic, complemented
826	#496	—	5	1	no	—
827	#491	—	5	1	no	—
828	#490	—	5	1	no	—
829	#489	C₂×D₅	1	1	yes	characteristic, complemented
830	#489	C₂×D₅	1	1	yes	characteristic, complemented
831	#485	—	5	1	no	—
832	#485	—	5	1	no	—
833	#485	—	5	1	no	—
834	#485	—	5	1	no	—
835	#485	—	5	1	no	—
836	#484	—	5	1	no	—
837	#483	—	5	1	no	—
838	#482	—	5	1	no	—
839	#482	—	5	1	no	—
840	#482	—	5	1	no	—
841	#481	—	5	1	no	—
842	#480	—	5	1	no	—
843	#479	—	5	1	no	—
844	#478	—	5	1	no	—
845	#477	—	5	1	no	—
846	#476	—	5	1	no	—
847	#470	—	5	1	no	—
848	#470	—	5	1	no	—
849	#470	—	5	1	no	—
850	#469	—	5	1	no	—
851	#468	—	5	1	no	—
852	#468	—	5	1	no	—
853	#468	—	5	1	no	—
854	#468	—	5	1	no	—
855	#467	—	5	1	no	—
856	#467	—	5	1	no	—
857	#467	—	5	1	no	—
858	#466	—	5	1	no	—
859	#465	—	5	1	no	—
860	#465	—	5	1	no	—
861	#465	—	5	1	no	—
862	#465	—	5	1	no	—
863	#464	—	5	1	no	—
864	#464	—	5	1	no	—
865	#464	—	5	1	no	—
866	#463	—	5	1	no	—
867	#463	—	5	1	no	—
868	#463	—	5	1	no	—
869	#462	—	5	1	no	—
870	#462	C₂×D₅	1	1	yes	characteristic, complemented
871	#462	C₂×D₅	1	1	yes	characteristic, complemented
872	#461	—	5	1	no	—
873	#460	C₂×D₅	1	1	yes	characteristic, complemented
874	#460	C₂×D₅	1	1	yes	characteristic, complemented
875	#452	—	5	1	no	—
876	#452	—	5	1	no	—
877	#452	—	5	1	no	—
878	#452	—	5	1	no	—
879	#452	—	5	1	no	—
880	#452	—	5	1	no	—
881	#452	—	5	1	no	—
882	#452	—	5	1	no	—
883	#452	—	5	1	no	—
884	#452	—	5	1	no	—
885	#452	—	5	1	no	—
886	#452	—	5	1	no	—
887	#452	—	5	1	no	—
888	#452	C₂×D₅	1	1	yes	characteristic, complemented
889	#452	C₂×D₅	1	1	yes	characteristic, complemented
890	#452	C₂×D₅	1	1	yes	characteristic, complemented
891	#452	C₂×D₅	1	1	yes	characteristic, complemented
892	#451	—	5	1	no	—
893	#451	—	5	1	no	—
894	#451	—	5	1	no	—
895	#451	—	5	1	no	—
896	#451	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#450	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#449	—	5	1	no	—
905	#449	—	5	1	no	—
906	#449	—	5	1	no	—
907	#448	—	5	1	no	—
908	#448	—	5	1	no	—
909	#448	—	5	1	no	—
910	#447	—	5	1	no	—
911	#442	—	5	1	no	—
912	#441	—	5	1	no	—
913	#441	—	5	1	no	—
914	#441	—	5	1	no	—
915	#440	—	5	1	no	—
916	#440	—	5	1	no	—
917	#440	—	5	1	no	—
918	#440	—	5	1	no	—
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	#435	—	5	1	no	—
923	#435	—	5	1	no	—
924	#435	—	5	1	no	—
925	#435	—	5	1	no	—
926	#435	—	5	1	no	—
927	#432	—	5	1	no	—
928	#432	C₂×D₅	1	1	yes	characteristic, complemented
929	#419	—	5	1	no	—
930	#418	—	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×#102	—	5	1	no	—
937	#407	—	5	1	no	—
938	#407	—	5	1	no	—
939	C₂×C₂²⋊C₈	—	5	1	no	—
940	C₂×C₂²⋊C₈	—	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	1	no	—
945	C₂²×D₅	—	2	2	no	—
946	C₂²×D₅	—	2	1	no	—
947	C₂²×D₅	—	4	1	no	—
948	C₂²×D₅	—	4	1	no	—
949	C₂²×D₅	—	4	1	no	—
950	C₂²×D₅	—	4	1	no	—
951	C₂²×D₅	—	4	1	no	—
952	C₂²×D₅	—	4	2	no	—
953	C₂²×D₅	—	4	2	no	—
954	C₂²×D₅	—	4	2	no	—
955	C₂²×D₅	—	4	2	no	—
956	C₂²×D₅	—	8	1	no	—
957	C₂²×D₅	—	8	1	no	—
958	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
959	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
960	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
961	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
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	—	2	1	no	—
967	C₅×Q₈	—	2	1	no	—
968	C₅×Q₈	—	2	1	no	—
969	C₅×Q₈	—	2	1	no	—
970	C₅×Q₈	—	4	2	no	—
971	C₅×D₄	—	2	1	no	—
972	C₅×D₄	—	2	1	no	—
973	C₅×D₄	—	2	1	no	—
974	C₅×D₄	—	2	1	no	—
975	C₅×D₄	—	4	2	no	—
976	C₅×D₄	—	4	2	no	—
977	C₅×D₄	—	4	2	no	—
978	C₅×D₄	—	8	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	—	2	1	no	—
983	C₂×C₄×C₅	—	2	1	no	—
984	C₂×C₄×C₅	—	2	1	no	—
985	C₂×C₄×C₅	—	2	1	no	—
986	C₂×C₄×C₅	—	2	1	no	—
987	C₂×C₄×C₅	—	4	1	no	—
988	C₂×C₄×C₅	—	4	1	no	—
989	C₂×C₄×C₅	—	4	2	no	—
990	C₂×C₄×C₅	—	4	2	no	—
991	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
992	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
993	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
994	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
995	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
996	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
997	C₂²⋊D₅	—	2	4	no	—
998	C₂²⋊D₅	—	4	2	no	—
999	C₂²⋊D₅	—	4	2	no	—
1000	C₂²⋊D₅	—	4	2	no	—
1001	C₂²⋊D₅	—	4	2	no	—
1002	C₂²⋊D₅	—	4	2	no	—
1003	C₂²⋊D₅	—	4	2	no	—
1004	C₂²⋊D₅	—	4	2	no	—
1005	C₂²⋊D₅	—	8	1	no	—
1006	C₂²⋊D₅	—	8	1	no	—
1007	C₂×Dic₅	—	2	1	no	—
1008	C₂×Dic₅	—	2	1	no	—
1009	C₂×Dic₅	—	2	1	no	—
1010	C₂×Dic₅	—	2	1	no	—
1011	C₂×Dic₅	—	2	1	no	—
1012	C₂×Dic₅	—	2	1	no	—
1013	C₂×Dic₅	—	4	1	no	—
1014	C₂×Dic₅	—	4	1	no	—
1015	C₂×Dic₅	—	4	2	no	—
1016	C₂×Dic₅	—	4	2	no	—
1017	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1018	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1019	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1021	D₂₀	—	2	2	no	—
1022	D₂₀	—	2	2	no	—
1023	D₂₀	—	2	1	no	—
1024	D₂₀	—	2	1	no	—
1025	D₂₀	—	2	1	no	—
1026	D₂₀	—	4	1	no	—
1027	D₂₀	—	4	1	no	—
1028	D₂₀	—	4	2	no	—
1029	D₂₀	—	4	2	no	—
1030	D₂₀	—	4	2	no	—
1031	D₂₀	—	4	2	no	—
1032	D₂₀	—	8	1	no	—
1033	D₂₀	—	8	1	no	—
1034	D₂₀	H(5,𝔽₂)	1	2	yes	—
1035	C₄×D₅	—	2	4	no	—
1036	C₄×D₅	—	2	1	no	—
1037	C₄×D₅	—	2	1	no	—
1038	C₄×D₅	—	2	1	no	—
1039	C₄×D₅	—	2	1	no	—
1040	C₄×D₅	—	2	1	no	—
1041	C₄×D₅	—	2	1	no	—
1042	C₄×D₅	—	2	1	no	—
1043	C₄×D₅	—	2	1	no	—
1044	C₄×D₅	—	4	1	no	—
1045	C₄×D₅	—	4	1	no	—
1046	C₄×D₅	—	4	1	no	—
1047	C₄×D₅	—	4	1	no	—
1048	C₄×D₅	—	4	2	no	—
1049	C₄×D₅	—	4	2	no	—
1050	C₄×D₅	—	4	2	no	—
1051	C₄×D₅	—	4	2	no	—
1052	C₄×D₅	—	4	2	no	—
1053	C₄×D₅	—	4	2	no	—
1054	C₄×D₅	—	4	2	no	—
1055	C₄×D₅	—	4	2	no	—
1056	C₄×D₅	—	8	1	no	—
1057	C₄×D₅	—	8	1	no	—
1058	C₄×D₅	—	8	1	no	—
1059	C₄×D₅	—	8	1	no	—
1060	C₄×D₅	—	8	1	no	—
1061	Dic₁₀	—	2	1	no	—
1062	Dic₁₀	—	2	1	no	—
1063	Dic₁₀	—	2	1	no	—
1064	Dic₁₀	—	4	2	no	—
1065	Dic₁₀	—	4	2	no	—
1066	Dic₁₀	—	8	1	no	—
1067	Dic₁₀	—	8	1	no	—
1068	Dic₁₀	H(5,𝔽₂)	1	2	yes	—
1069	C₅×C₈	—	2	1	no	—
1070	C₅×C₈	—	2	1	no	—
1071	C₅×C₈	—	2	1	no	—
1072	C₅×C₈	—	2	1	no	—
1073	#168	—	2	1	no	—
1074	#168	—	2	1	no	—
1075	#168	—	2	1	no	—
1076	#168	—	2	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	5	1	no	—
1079	C₂×#41	—	5	1	no	—
1080	C₂×#41	—	5	1	no	—
1081	C₂×#41	—	5	1	no	—
1082	C₂×#41	—	5	1	no	—
1083	C₂×#41	—	5	1	no	—
1084	C₂×#41	—	10	1	no	—
1085	C₂×#41	—	10	1	no	—
1086	C₂×#41	—	10	1	no	—
1087	C₂×#41	—	10	1	no	—
1088	C₂×#41	—	10	1	no	—
1089	C₂×#41	—	20	2	no	—
1090	C₂×#41	—	20	2	no	—
1091	C₂×#41	—	20	2	no	—
1092	C₂×#41	—	20	2	no	—
1093	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1094	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1095	C₂²×Q₈	—	5	1	no	—
1096	C₂²×Q₈	—	5	1	no	—
1097	C₂²×Q₈	—	5	1	no	—
1098	C₂²×Q₈	—	5	1	no	—
1099	C₂²×D₄	—	5	1	no	—
1100	C₂²×D₄	—	5	1	no	—
1101	C₂²×D₄	—	5	1	no	—
1102	C₂²×D₄	—	10	1	no	—
1103	C₂²×D₄	—	10	1	no	—
1104	C₂²×D₄	—	10	1	no	—
1105	C₂³×C₄	—	5	1	no	—
1106	C₂³×C₄	—	5	1	no	—
1107	C₂³×C₄	—	10	1	no	—
1108	C₂³×C₄	—	10	1	no	—
1109	#137	—	20	2	no	—
1110	#137	—	20	2	no	—
1111	#137	—	20	2	no	—
1112	AGL(1,ℤ/8)	—	20	2	no	—
1113	#135	—	20	2	no	—
1114	#135	—	20	2	no	—
1115	C₂×Q₁₆	—	5	1	no	—
1116	C₂×Q₁₆	—	5	1	no	—
1117	C₂×Q₁₆	—	5	1	no	—
1118	C₂×Q₁₆	—	5	1	no	—
1119	C₂×Q₁₆	—	5	1	no	—
1120	C₂×Q₁₆	—	20	2	no	—
1121	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1122	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1123	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1124	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1130	C₂×SD₁₆	—	5	1	no	—
1131	C₂×SD₁₆	—	5	1	no	—
1132	C₂×SD₁₆	—	5	1	no	—
1133	C₂×SD₁₆	—	20	2	no	—
1134	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1135	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1136	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1137	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1138	C₂×D₈	—	5	1	no	—
1139	C₂×D₈	—	5	1	no	—
1140	C₂×D₈	—	5	1	no	—
1141	C₂×M₁₆	—	5	1	no	—
1142	C₂×M₁₆	—	5	1	no	—
1143	C₂×M₁₆	—	5	1	no	—
1144	C₂×M₁₆	—	5	1	no	—
1145	C₂²×C₈	—	5	1	no	—
1146	C₂²×C₈	—	5	1	no	—
1147	C₂²×C₈	—	5	1	no	—
1148	C₂²×C₈	—	5	1	no	—
1149	C₄⋊Q₈	—	10	1	no	—
1150	C₄⋊Q₈	—	10	1	no	—
1151	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1152	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1153	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1154	#127	—	10	1	no	—
1155	#127	C₂²×D₅	1	1	yes	characteristic
1156	#126	—	10	1	no	—
1157	#126	—	10	1	no	—
1158	#126	—	10	1	no	—
1159	#126	—	10	1	no	—
1160	#126	—	10	1	no	—
1161	#125	—	2	1	no	—
1162	#125	—	5	1	no	—
1163	#125	—	10	1	no	—
1164	#125	—	10	1	no	—
1165	#124	—	5	1	no	—
1166	#124	—	10	1	no	—
1167	#124	—	10	1	no	—
1168	#124	—	10	1	no	—
1169	#124	—	10	1	no	—
1170	#124	—	10	1	no	—
1171	#124	C₂²×D₅	1	1	yes	characteristic
1172	#124	C₂²×D₅	1	1	yes	characteristic
1173	#123	—	10	1	no	—
1174	#123	—	10	1	no	—
1175	#123	—	10	1	no	—
1176	#123	—	10	1	no	—
1177	#123	—	10	1	no	—
1178	#123	—	10	1	no	—
1179	#123	—	10	1	no	—
1180	#123	—	10	1	no	—
1181	#123	—	10	1	no	—
1182	#123	—	10	1	no	—
1183	#123	—	10	1	no	—
1184	#123	—	10	1	no	—
1185	#123	—	10	1	no	—
1186	#123	—	10	1	no	—
1187	#123	—	10	1	no	—
1188	C₂²⋊Q₈	—	2	1	no	—
1189	C₂²⋊Q₈	—	5	1	no	—
1190	C₂²⋊Q₈	—	5	1	no	—
1191	C₂²⋊Q₈	—	5	1	no	—
1192	C₂²⋊Q₈	—	5	1	no	—
1193	C₂²⋊Q₈	—	5	1	no	—
1194	C₂²⋊Q₈	—	5	1	no	—
1195	C₂²⋊Q₈	—	5	1	no	—
1196	C₂²⋊Q₈	—	5	1	no	—
1197	C₂²⋊Q₈	—	5	1	no	—
1198	C₂²⋊Q₈	—	5	1	no	—
1199	C₂²⋊Q₈	—	5	1	no	—
1200	C₂²⋊Q₈	—	10	1	no	—
1201	C₂²⋊Q₈	—	10	1	no	—
1202	C₂²⋊Q₈	—	10	1	no	—
1203	C₂²⋊Q₈	—	10	1	no	—
1204	C₂²⋊Q₈	—	10	1	no	—
1205	C₂²⋊Q₈	—	10	1	no	—
1206	C₂²⋊Q₈	—	10	1	no	—
1207	C₂²⋊Q₈	—	10	1	no	—
1208	C₂²⋊Q₈	—	10	1	no	—
1209	C₂²⋊Q₈	—	10	1	no	—
1210	C₂²⋊Q₈	—	10	1	no	—
1211	C₂²⋊Q₈	—	10	1	no	—
1212	C₂²⋊Q₈	—	10	1	no	—
1213	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1214	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1215	#121	—	2	1	no	—
1216	#121	—	2	1	no	—
1217	#121	—	5	1	no	—
1218	#121	—	5	1	no	—
1219	#121	—	5	1	no	—
1220	#121	—	5	1	no	—
1221	#121	—	5	1	no	—
1222	#121	—	5	1	no	—
1223	#121	—	5	1	no	—
1224	#121	—	10	1	no	—
1225	#121	—	10	1	no	—
1226	#121	—	10	1	no	—
1227	#121	—	10	1	no	—
1228	#121	—	10	1	no	—
1229	#121	—	10	1	no	—
1230	#121	—	10	1	no	—
1231	#121	—	10	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#120	—	10	1	no	—
1236	#120	—	10	1	no	—
1237	#120	—	10	1	no	—
1238	#120	—	10	1	no	—
1239	#120	—	10	1	no	—
1240	#120	—	10	1	no	—
1241	#120	—	10	1	no	—
1242	#120	—	10	1	no	—
1243	C₄×Q₈	—	2	1	no	—
1244	C₄×Q₈	—	5	1	no	—
1245	C₄×Q₈	—	5	1	no	—
1246	C₄×Q₈	—	5	1	no	—
1247	C₄×Q₈	—	10	1	no	—
1248	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1249	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1250	C₄×D₄	—	2	1	no	—
1251	C₄×D₄	—	2	1	no	—
1252	C₄×D₄	—	5	1	no	—
1253	C₄×D₄	—	5	1	no	—
1254	C₄×D₄	—	5	1	no	—
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	—	5	1	no	—
1261	C₄×D₄	—	5	1	no	—
1262	C₄×D₄	—	5	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	—	10	1	no	—
1271	C₄×D₄	—	10	1	no	—
1272	C₄×D₄	—	10	1	no	—
1273	C₄×D₄	—	10	1	no	—
1274	C₄×D₄	—	10	1	no	—
1275	C₄×D₄	—	10	1	no	—
1276	C₄×D₄	—	10	1	no	—
1277	C₄×D₄	—	10	1	no	—
1278	C₄×D₄	—	10	1	no	—
1279	C₄×D₄	—	10	1	no	—
1280	C₄×D₄	—	10	1	no	—
1281	#117	—	2	1	no	—
1282	#117	—	5	1	no	—
1283	#117	—	5	1	no	—
1284	#117	—	5	1	no	—
1285	#117	—	10	1	no	—
1286	#117	—	10	1	no	—
1287	#117	—	10	1	no	—
1288	#117	—	10	1	no	—
1289	C₂×C₄⋊C₄	—	5	1	no	—
1290	C₂×C₄⋊C₄	—	5	1	no	—
1291	C₂×C₄⋊C₄	—	5	1	no	—
1292	C₂×C₄⋊C₄	—	10	1	no	—
1293	C₂×C₄⋊C₄	—	10	1	no	—
1294	C₂×C₄⋊C₄	—	10	1	no	—
1295	C₂×C₄⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	5	1	no	—
1297	C₂×C₂²⋊C₄	—	5	1	no	—
1298	C₂×C₂²⋊C₄	—	10	1	no	—
1299	C₂×C₂²⋊C₄	—	10	1	no	—
1300	C₂×C₂²⋊C₄	—	10	1	no	—
1301	C₂×C₂²⋊C₄	—	10	1	no	—
1302	C₂×C₄²	—	10	1	no	—
1303	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
1304	#107	—	5	1	no	—
1305	#107	—	5	1	no	—
1306	#107	—	5	1	no	—
1307	#107	—	5	1	no	—
1308	#106	—	5	1	no	—
1309	#106	—	5	1	no	—
1310	#106	—	5	1	no	—
1311	#106	—	5	1	no	—
1312	C₄⋊C₈	—	5	1	no	—
1313	C₄⋊C₈	—	5	1	no	—
1314	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1315	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1329	#103	—	5	1	no	—
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	—	5	1	no	—
1341	#102	—	5	1	no	—
1342	#102	—	5	1	no	—
1343	#102	—	5	1	no	—
1344	#102	C₂²×D₅	1	1	yes	characteristic
1345	#102	C₂²×D₅	1	1	yes	characteristic
1346	#102	C₂²×D₅	1	1	yes	characteristic
1347	#102	C₂²×D₅	1	1	yes	characteristic
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	—	5	1	no	—
1352	C₂²⋊C₈	—	5	1	no	—
1353	C₂²⋊C₈	—	5	1	no	—
1354	C₂²⋊C₈	—	5	1	no	—
1355	C₂²⋊C₈	—	5	1	no	—
1356	C₂²⋊C₈	—	5	1	no	—
1357	C₂²⋊C₈	—	5	1	no	—
1358	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1359	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1360	#97	—	5	1	no	—
1361	#97	—	5	1	no	—
1362	#97	C₂²×D₅	1	1	yes	characteristic
1363	#97	C₂²×D₅	1	1	yes	characteristic
1364	C₂²×C₅	—	2	1	no	—
1365	C₂²×C₅	—	2	1	no	—
1366	C₂²×C₅	—	2	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	4	1	no	—
1369	C₂²×C₅	—	4	1	no	—
1370	C₂²×C₅	—	4	1	no	—
1371	C₂²×C₅	—	4	1	no	—
1372	C₂²×C₅	—	4	1	no	—
1373	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1374	C₂×D₅	—	2	1	no	—
1375	C₂×D₅	—	2	1	no	—
1376	C₂×D₅	—	2	1	no	—
1377	C₂×D₅	—	2	1	no	—
1378	C₂×D₅	—	2	1	no	—
1379	C₂×D₅	—	2	1	no	—
1380	C₂×D₅	—	2	2	no	—
1381	C₂×D₅	—	2	1	no	—
1382	C₂×D₅	—	2	1	no	—
1383	C₂×D₅	—	2	1	no	—
1384	C₂×D₅	—	2	1	no	—
1385	C₂×D₅	—	2	1	no	—
1386	C₂×D₅	—	4	1	no	—
1387	C₂×D₅	—	4	1	no	—
1388	C₂×D₅	—	4	1	no	—
1389	C₂×D₅	—	4	1	no	—
1390	C₂×D₅	—	4	1	no	—
1391	C₂×D₅	—	8	2	no	—
1392	C₂×D₅	—	8	4	no	—
1393	C₂×D₅	—	8	2	no	—
1394	C₂×D₅	—	8	4	no	—
1395	C₂×D₅	#575	1	2	yes	—
1396	C₄×C₅	—	2	1	no	—
1397	C₄×C₅	—	2	1	no	—
1398	C₄×C₅	—	2	1	no	—
1399	C₄×C₅	—	2	1	no	—
1400	C₄×C₅	—	2	1	no	—
1401	C₄×C₅	—	4	1	no	—
1402	C₄×C₅	—	4	1	no	—
1403	C₄×C₅	—	4	1	no	—
1404	C₄×C₅	—	4	1	no	—
1405	C₄×C₅	—	4	1	no	—
1406	C₄×C₅	—	4	1	no	—
1407	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1408	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1409	Dic₅	—	2	2	no	—
1410	Dic₅	—	2	1	no	—
1411	Dic₅	—	2	1	no	—
1412	Dic₅	—	2	1	no	—
1413	Dic₅	—	2	1	no	—
1414	Dic₅	—	4	1	no	—
1415	Dic₅	—	4	1	no	—
1416	Dic₅	—	4	1	no	—
1417	Dic₅	—	4	1	no	—
1418	Dic₅	—	4	1	no	—
1419	C₂⁴	—	5	1	no	—
1420	C₂⁴	—	5	1	no	—
1421	C₂⁴	—	10	1	no	—
1422	C₂⁴	—	10	1	no	—
1423	#41	—	4	1	no	—
1424	#41	—	4	1	no	—
1425	#41	—	4	1	no	—
1426	#41	—	4	1	no	—
1427	#41	—	10	2	no	—
1428	#41	—	10	2	no	—
1429	#41	—	10	2	no	—
1430	#41	—	10	2	no	—
1431	#41	—	10	2	no	—
1432	#41	—	10	2	no	—
1433	#41	—	20	4	no	—
1434	#41	—	20	4	no	—
1435	#41	—	20	1	no	—
1436	#41	—	20	1	no	—
1437	#41	—	20	1	no	—
1438	#41	—	20	1	no	—
1439	#41	—	20	1	no	—
1440	#41	—	20	1	no	—
1441	#41	—	20	1	no	—
1442	#41	—	20	1	no	—
1443	#41	—	20	4	no	—
1444	#41	—	20	4	no	—
1445	#41	—	20	4	no	—
1446	C₂×Q₈	—	2	1	no	—
1447	C₂×Q₈	—	5	1	no	—
1448	C₂×Q₈	—	5	1	no	—
1449	C₂×Q₈	—	10	1	no	—
1450	C₂×Q₈	—	10	1	no	—
1451	C₂×Q₈	—	10	1	no	—
1452	C₂×Q₈	—	10	1	no	—
1453	C₂×Q₈	—	10	2	no	—
1454	C₂×Q₈	—	10	2	no	—
1455	C₂×Q₈	—	20	1	no	—
1456	C₂×Q₈	—	20	1	no	—
1457	C₂×Q₈	—	20	1	no	—
1458	C₂×Q₈	—	20	1	no	—
1459	C₂×Q₈	—	20	1	no	—
1460	C₂×Q₈	—	20	1	no	—
1461	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1462	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1463	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1464	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1465	C₂×D₄	—	2	1	no	—
1466	C₂×D₄	—	2	1	no	—
1467	C₂×D₄	—	2	1	no	—
1468	C₂×D₄	—	2	1	no	—
1469	C₂×D₄	—	5	1	no	—
1470	C₂×D₄	—	5	1	no	—
1471	C₂×D₄	—	5	1	no	—
1472	C₂×D₄	—	5	1	no	—
1473	C₂×D₄	—	5	1	no	—
1474	C₂×D₄	—	5	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	—	10	1	no	—
1483	C₂×D₄	—	10	2	no	—
1484	C₂×D₄	—	10	2	no	—
1485	C₂×D₄	—	10	1	no	—
1486	C₂×D₄	—	10	1	no	—
1487	C₂×D₄	—	10	1	no	—
1488	C₂×D₄	—	10	1	no	—
1489	C₂×D₄	—	10	1	no	—
1490	C₂×D₄	—	10	1	no	—
1491	C₂×D₄	—	10	1	no	—
1492	C₂×D₄	—	10	1	no	—
1493	C₂×D₄	—	20	2	no	—
1494	C₂×D₄	—	20	1	no	—
1495	C₂×D₄	—	20	1	no	—
1496	C₂×D₄	—	20	4	no	—
1497	C₂×D₄	—	20	4	no	—
1498	C₂×D₄	—	20	4	no	—
1499	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1500	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	5	1	no	—
1506	C₂²×C₄	—	5	1	no	—
1507	C₂²×C₄	—	5	1	no	—
1508	C₂²×C₄	—	5	1	no	—
1509	C₂²×C₄	—	5	1	no	—
1510	C₂²×C₄	—	5	1	no	—
1511	C₂²×C₄	—	5	1	no	—
1512	C₂²×C₄	—	5	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	—	10	1	no	—
1520	C₂²×C₄	—	10	1	no	—
1521	C₂²×C₄	—	10	1	no	—
1522	C₂²×C₄	—	10	1	no	—
1523	C₂²×C₄	—	10	1	no	—
1524	C₂²×C₄	—	10	1	no	—
1525	C₂²×C₄	—	10	1	no	—
1526	C₂²×C₄	—	10	1	no	—
1527	C₂²×C₄	—	10	1	no	—
1528	C₂²×C₄	—	10	1	no	—
1529	C₂²×C₄	—	20	1	no	—
1530	C₂²×C₄	—	20	1	no	—
1531	C₂²×C₄	—	20	1	no	—
1532	C₂²×C₄	—	20	1	no	—
1533	C₂²×C₄	—	20	4	no	—
1534	C₂²×C₄	—	20	4	no	—
1535	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1536	C₂²×C₄	D₄×D₅	1	1	yes	characteristic
1537	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1538	Q₁₆	—	4	1	no	—
1539	Q₁₆	—	4	1	no	—
1540	Q₁₆	—	4	1	no	—
1541	Q₁₆	—	4	1	no	—
1542	Q₁₆	—	10	2	no	—
1543	Q₁₆	—	10	2	no	—
1544	Q₁₆	—	10	2	no	—
1545	Q₁₆	—	20	1	no	—
1546	Q₁₆	—	20	1	no	—
1547	SD₁₆	—	4	1	no	—
1548	SD₁₆	—	4	1	no	—
1549	SD₁₆	—	4	1	no	—
1550	SD₁₆	—	4	1	no	—
1551	SD₁₆	—	10	2	no	—
1552	SD₁₆	—	10	2	no	—
1553	SD₁₆	—	10	2	no	—
1554	SD₁₆	—	10	2	no	—
1555	SD₁₆	—	20	1	no	—
1556	SD₁₆	—	20	1	no	—
1557	SD₁₆	—	20	1	no	—
1558	SD₁₆	—	20	1	no	—
1559	D₈	—	10	2	no	—
1560	D₈	—	20	1	no	—
1561	D₈	—	20	1	no	—
1562	M₁₆	—	20	1	no	—
1563	M₁₆	—	20	1	no	—
1564	M₁₆	—	20	1	no	—
1565	M₁₆	—	20	1	no	—
1566	C₂×C₈	—	5	1	no	—
1567	C₂×C₈	—	5	1	no	—
1568	C₂×C₈	—	5	1	no	—
1569	C₂×C₈	—	5	1	no	—
1570	C₂×C₈	—	20	1	no	—
1571	C₂×C₈	—	20	1	no	—
1572	C₂×C₈	—	20	1	no	—
1573	C₂×C₈	—	20	1	no	—
1574	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1575	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1576	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1577	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	2	1	no	—
1580	C₄⋊C₄	—	2	1	no	—
1581	C₄⋊C₄	—	2	1	no	—
1582	C₄⋊C₄	—	2	1	no	—
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	5	1	no	—
1588	C₄⋊C₄	—	5	1	no	—
1589	C₄⋊C₄	—	5	1	no	—
1590	C₄⋊C₄	—	5	1	no	—
1591	C₄⋊C₄	—	5	1	no	—
1592	C₄⋊C₄	—	5	1	no	—
1593	C₄⋊C₄	—	5	1	no	—
1594	C₄⋊C₄	—	5	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	—	10	1	no	—
1601	C₄⋊C₄	—	10	1	no	—
1602	C₄⋊C₄	—	10	1	no	—
1603	C₄⋊C₄	—	10	1	no	—
1604	C₄⋊C₄	—	10	1	no	—
1605	C₄⋊C₄	—	10	1	no	—
1606	C₄⋊C₄	—	10	1	no	—
1607	C₄⋊C₄	—	10	1	no	—
1608	C₄⋊C₄	—	10	1	no	—
1609	C₄⋊C₄	—	10	1	no	—
1610	C₄⋊C₄	—	10	1	no	—
1611	C₄⋊C₄	—	10	1	no	—
1612	C₄⋊C₄	—	10	1	no	—
1613	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1614	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	5	1	no	—
1622	C₂²⋊C₄	—	5	1	no	—
1623	C₂²⋊C₄	—	5	1	no	—
1624	C₂²⋊C₄	—	5	1	no	—
1625	C₂²⋊C₄	—	5	1	no	—
1626	C₂²⋊C₄	—	5	1	no	—
1627	C₂²⋊C₄	—	5	1	no	—
1628	C₂²⋊C₄	—	5	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	—	10	1	no	—
1646	C₂²⋊C₄	—	10	1	no	—
1647	C₂²⋊C₄	—	10	1	no	—
1648	C₂²⋊C₄	—	10	1	no	—
1649	C₂²⋊C₄	—	10	1	no	—
1650	C₂²⋊C₄	—	10	1	no	—
1651	C₂²⋊C₄	—	10	1	no	—
1652	C₂²⋊C₄	—	10	1	no	—
1653	C₂²⋊C₄	—	10	1	no	—
1654	C₂²⋊C₄	—	10	1	no	—
1655	C₄²	—	2	1	no	—
1656	C₄²	—	2	1	no	—
1657	C₄²	—	10	1	no	—
1658	C₄²	—	10	1	no	—
1659	C₄²	—	10	1	no	—
1660	C₄²	—	10	1	no	—
1661	C₄²	—	10	1	no	—
1662	C₄²	—	10	1	no	—
1663	C₄²	D₄×D₅	1	1	yes	characteristic
1664	C₄²	D₄×D₅	1	1	yes	characteristic
1665	C₄²	C₂³×D₅	1	1	yes	characteristic
1666	C₄²	C₂³×D₅	1	1	yes	characteristic
1667	C₂×C₅	—	4	1	no	—
1668	C₂×C₅	—	8	1	no	—
1669	C₂×C₅	—	8	1	no	—
1670	C₂×C₅	#3484	1	1	yes	characteristic
1671	C₂×C₅	C₂×#575	1	1	yes	characteristic
1672	C₂×C₅	#3586	1	1	yes	characteristic
1673	D₅	—	2	2	no	—
1674	D₅	—	4	1	no	—
1675	D₅	—	4	1	no	—
1676	D₅	—	4	1	no	—
1677	D₅	—	4	2	no	—
1678	D₅	—	8	1	no	—
1679	C₂³	—	2	1	no	—
1680	C₂³	—	2	1	no	—
1681	C₂³	—	5	1	no	—
1682	C₂³	—	5	1	no	—
1683	C₂³	—	5	1	no	—
1684	C₂³	—	5	1	no	—
1685	C₂³	—	10	2	no	—
1686	C₂³	—	10	1	no	—
1687	C₂³	—	10	1	no	—
1688	C₂³	—	20	1	no	—
1689	C₂³	—	20	1	no	—
1690	C₂³	—	20	1	no	—
1691	C₂³	—	20	1	no	—
1692	C₂³	—	20	1	no	—
1693	C₂³	—	20	2	no	—
1694	C₂³	—	20	2	no	—
1695	C₂³	—	20	2	no	—
1696	C₂³	—	20	2	no	—
1697	C₂³	—	40	1	no	—
1698	C₂³	—	40	1	no	—
1699	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1700	Q₈	—	2	1	no	—
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	2	1	no	—
1706	Q₈	—	2	1	no	—
1707	Q₈	—	2	1	no	—
1708	Q₈	—	4	2	no	—
1709	Q₈	—	5	2	no	—
1710	Q₈	—	10	1	no	—
1711	Q₈	—	10	1	no	—
1712	Q₈	—	10	1	no	—
1713	Q₈	—	20	2	no	—
1714	Q₈	—	20	2	no	—
1715	Q₈	—	40	1	no	—
1716	Q₈	—	40	1	no	—
1717	D₄	—	2	1	no	—
1718	D₄	—	2	1	no	—
1719	D₄	—	2	1	no	—
1720	D₄	—	2	1	no	—
1721	D₄	—	4	2	no	—
1722	D₄	—	4	2	no	—
1723	D₄	—	4	2	no	—
1724	D₄	—	5	2	no	—
1725	D₄	—	8	1	no	—
1726	D₄	—	10	2	no	—
1727	D₄	—	10	2	no	—
1728	D₄	—	10	4	no	—
1729	D₄	—	10	1	no	—
1730	D₄	—	10	1	no	—
1731	D₄	—	10	1	no	—
1732	D₄	—	20	1	no	—
1733	D₄	—	20	1	no	—
1734	D₄	—	20	2	no	—
1735	D₄	—	20	2	no	—
1736	D₄	—	20	2	no	—
1737	D₄	—	20	2	no	—
1738	D₄	—	20	2	no	—
1739	D₄	—	20	2	no	—
1740	D₄	—	20	2	no	—
1741	D₄	—	20	2	no	—
1742	D₄	—	20	2	no	—
1743	D₄	—	20	2	no	—
1744	D₄	—	20	2	no	—
1745	D₄	—	40	1	no	—
1746	D₄	—	40	1	no	—
1747	D₄	—	40	1	no	—
1748	D₄	—	40	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	2	1	no	—
1753	C₂×C₄	—	2	1	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	4	1	no	—
1758	C₂×C₄	—	4	1	no	—
1759	C₂×C₄	—	4	2	no	—
1760	C₂×C₄	—	4	2	no	—
1761	C₂×C₄	—	5	1	no	—
1762	C₂×C₄	—	5	1	no	—
1763	C₂×C₄	—	5	1	no	—
1764	C₂×C₄	—	5	1	no	—
1765	C₂×C₄	—	10	4	no	—
1766	C₂×C₄	—	10	1	no	—
1767	C₂×C₄	—	10	1	no	—
1768	C₂×C₄	—	10	1	no	—
1769	C₂×C₄	—	10	1	no	—
1770	C₂×C₄	—	10	1	no	—
1771	C₂×C₄	—	10	1	no	—
1772	C₂×C₄	—	10	1	no	—
1773	C₂×C₄	—	10	1	no	—
1774	C₂×C₄	—	10	1	no	—
1775	C₂×C₄	—	10	1	no	—
1776	C₂×C₄	—	10	1	no	—
1777	C₂×C₄	—	10	1	no	—
1778	C₂×C₄	—	10	1	no	—
1779	C₂×C₄	—	10	1	no	—
1780	C₂×C₄	—	20	1	no	—
1781	C₂×C₄	—	20	1	no	—
1782	C₂×C₄	—	20	1	no	—
1783	C₂×C₄	—	20	1	no	—
1784	C₂×C₄	—	20	2	no	—
1785	C₂×C₄	—	20	2	no	—
1786	C₂×C₄	—	20	2	no	—
1787	C₂×C₄	—	20	2	no	—
1788	C₂×C₄	—	20	2	no	—
1789	C₂×C₄	—	20	2	no	—
1790	C₂×C₄	—	20	2	no	—
1791	C₂×C₄	—	20	2	no	—
1792	C₂×C₄	—	20	1	no	—
1793	C₂×C₄	—	20	1	no	—
1794	C₂×C₄	—	20	2	no	—
1795	C₂×C₄	—	20	2	no	—
1796	C₂×C₄	—	40	1	no	—
1797	C₂×C₄	—	40	1	no	—
1798	C₂×C₄	—	40	1	no	—
1799	C₂×C₄	—	40	1	no	—
1800	C₂×C₄	—	40	1	no	—
1801	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1802	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1803	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1804	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1805	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1806	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1807	C₈	—	2	1	no	—
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	10	1	no	—
1812	C₈	—	10	1	no	—
1813	C₈	—	10	1	no	—
1814	C₈	—	10	1	no	—
1815	C₅	#61580	1	1	yes	characteristic, complemented, Sylow
1816	C₂²	—	2	1	no	—
1817	C₂²	—	2	1	no	—
1818	C₂²	—	2	1	no	—
1819	C₂²	—	4	1	no	—
1820	C₂²	—	4	1	no	—
1821	C₂²	—	4	1	no	—
1822	C₂²	—	4	1	no	—
1823	C₂²	—	4	1	no	—
1824	C₂²	—	4	1	no	—
1825	C₂²	—	5	2	no	—
1826	C₂²	—	10	1	no	—
1827	C₂²	—	10	1	no	—
1828	C₂²	—	10	1	no	—
1829	C₂²	—	10	2	no	—
1830	C₂²	—	10	1	no	—
1831	C₂²	—	10	1	no	—
1832	C₂²	—	10	1	no	—
1833	C₂²	—	10	1	no	—
1834	C₂²	—	10	1	no	—
1835	C₂²	—	10	1	no	—
1836	C₂²	—	10	1	no	—
1837	C₂²	—	10	1	no	—
1838	C₂²	—	20	1	no	—
1839	C₂²	—	20	1	no	—
1840	C₂²	—	20	1	no	—
1841	C₂²	—	20	1	no	—
1842	C₂²	—	20	1	no	—
1843	C₂²	—	40	2	no	—
1844	C₂²	—	40	2	no	—
1845	C₂²	—	40	4	no	—
1846	C₂²	—	40	4	no	—
1847	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1848	C₄	—	2	1	no	—
1849	C₄	—	2	1	no	—
1850	C₄	—	2	1	no	—
1851	C₄	—	2	1	no	—
1852	C₄	—	2	1	no	—
1853	C₄	—	4	1	no	—
1854	C₄	—	4	1	no	—
1855	C₄	—	4	1	no	—
1856	C₄	—	4	1	no	—
1857	C₄	—	4	1	no	—
1858	C₄	—	4	1	no	—
1859	C₄	—	10	1	no	—
1860	C₄	—	10	1	no	—
1861	C₄	—	10	1	no	—
1862	C₄	—	10	1	no	—
1863	C₄	—	10	2	no	—
1864	C₄	—	20	1	no	—
1865	C₄	—	20	1	no	—
1866	C₄	—	20	1	no	—
1867	C₄	—	20	1	no	—
1868	C₄	—	20	1	no	—
1869	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1870	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1871	C₂	—	4	1	no	—
1872	C₂	—	8	1	no	—
1873	C₂	—	8	1	no	—
1874	C₂	—	10	2	no	—
1875	C₂	—	20	1	no	—
1876	C₂	—	20	1	no	—
1877	C₂	—	20	1	no	—
1878	C₂	—	20	2	no	—
1879	C₂	—	40	1	no	—
1880	C₂	#10618231	1	1	yes	characteristic
1881	C₂	#10619098	1	1	yes	characteristic
1882	C₂	D₅×#575	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×#3216	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3216	D₅
hypocenter	C₅	#61580
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ #3216

Complements

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

N	H ≅ G/N	type
1. #10618186	C₂	semidirect
2. #10618139	C₂	semidirect
3. C₅×#3216	C₂	semidirect
4. #10615085	C₂	semidirect
5. #10615040	C₂	semidirect
6. #10613615	C₂	semidirect
7. #10613614	C₂	semidirect
8. #10613613	C₂	semidirect
9. #10613612	C₂	semidirect
10. #10613430	C₂	semidirect
11. #10613429	C₂	semidirect
12. #10613428	C₂	semidirect
13. #10613427	C₂	semidirect
14. #10612231	C₂	semidirect
15. #10612225	C₂	semidirect
16. #10612224	C₂	semidirect
17. #10612220	C₂	semidirect
18. #10612138	C₂	semidirect
19. #10612135	C₂	semidirect
20. #10612129	C₂	semidirect
21. #10612128	C₂	semidirect
22. #10611967	C₂	semidirect
23. #10611966	C₂	semidirect
24. #10611965	C₂	semidirect
25. #10611964	C₂	semidirect
26. #10611959	C₂	semidirect
27. #10611958	C₂	semidirect
28. #10611957	C₂	semidirect
29. D₅×#452	C₂	semidirect
30. #10611076	C₂	semidirect
31. #10611066	C₂	semidirect
34. C₅×#533	C₂²	semidirect
38. C₂×#4065	C₂²	semidirect
39. C₂×#4064	C₂²	semidirect
40. C₂×#4064	C₂²	semidirect
41. C₂×D₅×Q₁₆	C₂²	semidirect
42. C₂×#4062	C₂²	semidirect
43. C₂×#4061	C₂²	semidirect
44. C₂×#4060	C₂²	semidirect
45. C₂×D₅×SD₁₆	C₂²	semidirect
46. #66066	C₂²	semidirect
48. #66061	C₂²	semidirect
50. #66060	C₂²	semidirect
51. #66060	C₂²	semidirect
62. #65961	C₂²	semidirect
63. #65961	C₂²	semidirect
64. D₅×C₂²⋊Q₈	C₂²	semidirect
65. D₅×C₂²⋊Q₈	C₂²	semidirect
72. #65915	C₂²	semidirect
74. #65910	C₂²	semidirect
82. #65813	C₂²	semidirect
85. C₅×#497	C₂²	semidirect
86. C₅×#497	C₂²	semidirect
87. C₅×#489	C₂²	semidirect
88. C₅×#489	C₂²	semidirect
89. C₅×#462	C₂²	semidirect
90. C₅×#462	C₂²	semidirect
91. C₅×#460	C₂²	semidirect
92. C₅×#460	C₂²	semidirect
93. C₅×#452	C₂²	semidirect
94. C₅×#452	C₂²	semidirect
95. C₅×#452	C₂²	semidirect
96. C₅×#452	C₂²	semidirect
97. C₅×#432	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65528	C₂²	semidirect
100. #65527	C₂²	semidirect
101. #65527	C₂²	semidirect
102. #65478	C₂²	semidirect
103. #65478	C₂²	semidirect
104. #65477	C₂²	semidirect
105. #65477	C₂²	semidirect
106. #65476	C₂²	semidirect
107. #65476	C₂²	semidirect
108. #65476	C₂²	semidirect
109. #65476	C₂²	semidirect
110. #65475	C₂²	semidirect
111. #65475	C₂²	semidirect
112. #65475	C₂²	semidirect
113. #65475	C₂²	semidirect
114. #65463	C₂²	semidirect
115. #65463	C₂²	semidirect
116. #65462	C₂²	semidirect
117. #65462	C₂²	semidirect
118. #65461	C₂²	semidirect
119. #65461	C₂²	semidirect
120. #65460	C₂²	semidirect
121. #65460	C₂²	semidirect
122. #65459	C₂²	semidirect
123. #65459	C₂²	semidirect
124. #65458	C₂²	semidirect
125. #65458	C₂²	semidirect
126. #65380	C₂²	semidirect
127. #65379	C₂²	semidirect
128. #65375	C₂²	semidirect
129. #65373	C₂²	semidirect
130. #65372	C₂²	semidirect
131. #65371	C₂²	semidirect
132. #65363	C₂²	semidirect
133. #65360	C₂²	semidirect
134. #65346	C₂²	semidirect
135. #65346	C₂²	semidirect
136. #65343	C₂²	semidirect
137. #65343	C₂²	semidirect
140. #65334	C₂²	semidirect
141. #65334	C₂²	semidirect
142. #65319	C₂²	semidirect
143. #65319	C₂²	semidirect
144. #65315	C₂²	semidirect
145. #65315	C₂²	semidirect
146. #65215	C₂²	semidirect
147. #65136	C₂²	semidirect
148. #65134	C₂²	semidirect
149. #65133	C₂²	semidirect
152. #65125	C₂²	semidirect
153. #65125	C₂²	semidirect
154. #65118	C₂²	semidirect
155. #65105	C₂²	semidirect
156. #65104	C₂²	semidirect
157. #65103	C₂²	semidirect
158. #65102	C₂²	semidirect
159. #65101	C₂²	semidirect
160. #65100	C₂²	semidirect
161. #65099	C₂²	semidirect
162. #65098	C₂²	semidirect
163. #65097	C₂²	semidirect
164. #65096	C₂²	semidirect
165. #65095	C₂²	semidirect
166. #65094	C₂²	semidirect
167. #65093	C₂²	semidirect
168. #65092	C₂²	semidirect
169. #65091	C₂²	semidirect
170. D₅×#103	C₂²	semidirect
171. #65073	C₂²	semidirect
172. #65072	C₂²	semidirect
173. #65071	C₂²	semidirect
174. #65070	C₂²	semidirect
175. #65069	C₂²	semidirect
176. #65068	C₂²	semidirect
177. #65067	C₂²	semidirect
178. #65066	C₂²	semidirect
179. #65065	C₂²	semidirect
180. #65064	C₂²	semidirect
181. #65063	C₂²	semidirect
182. #65062	C₂²	semidirect
183. #65061	C₂²	semidirect
184. #65060	C₂²	semidirect
185. #65059	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. #65026	C₂²	semidirect
190. #65015	C₂²	semidirect
191. #65015	C₂²	semidirect
192. D₅×C₂²⋊C₈	C₂²	semidirect
193. D₅×C₂²⋊C₈	C₂²	semidirect
194. #65012	C₂²	semidirect
195. #65005	C₂²	semidirect
196. #65000	C₂²	semidirect
197. #64999	C₂²	semidirect
198. #64999	C₂²	semidirect
199. #64995	C₂²	semidirect
200. #64995	C₂²	semidirect
201. #64995	C₂²	semidirect
202. #64995	C₂²	semidirect
510. #3216	D₅	semidirect
807. #533	C₂×D₅	semidirect
824. #497	C₂×D₅	semidirect
825. #497	C₂×D₅	semidirect
829. #489	C₂×D₅	semidirect
830. #489	C₂×D₅	semidirect
870. #462	C₂×D₅	semidirect
871. #462	C₂×D₅	semidirect
873. #460	C₂×D₅	semidirect
874. #460	C₂×D₅	semidirect
888. #452	C₂×D₅	semidirect
889. #452	C₂×D₅	semidirect
890. #452	C₂×D₅	semidirect
891. #452	C₂×D₅	semidirect
928. #432	C₂×D₅	semidirect
1815. C₅	#61580	semidirect

Maximal subgroups

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

subgroup	index
#10618186	2
#10618139	2
C₅×#3216	2
#10615085	2
#10615040	2
#10613615	2
#10613614	2
#10613613	2
#10613612	2
#10613430	2
#10613429	2
#10613428	2
#10613427	2
#10612231	2
#10612225	2
#10612224	2
#10612220	2
#10612138	2
#10612135	2
#10612129	2
#10612128	2
#10611967	2
#10611966	2
#10611965	2
#10611964	2
#10611959	2
#10611958	2
#10611957	2
D₅×#452	2
#10611076	2
#10611066	2
#61580	5