Subgroups — #12976445

Order 1280.

2188 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₅×#553	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618575	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3307	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615350	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615243	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613482	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613471	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613256	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613247	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613165	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613158	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612922	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612898	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612559	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612536	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612403	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612388	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612184	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612159	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611845	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611833	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611815	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611613	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611596	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611241	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611214	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610633	C₂	1	1	yes	maximal, characteristic, complemented
29	D₅×#417	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610577	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610561	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×#553	C₂²	1	1	yes	characteristic, complemented
35	C₅×#547	C₂²	1	1	yes	characteristic, complemented
36	#66163	C₂²	1	1	yes	characteristic, complemented
37	#66163	C₂²	1	1	yes	characteristic, complemented
38	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
39	C₂×#4060	C₂²	1	1	yes	characteristic, complemented
40	C₂×#4057	C₂²	1	1	yes	characteristic
41	C₂×D₅×M₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂²×#676	C₂²	1	1	yes	characteristic, complemented
43	#66061	C₂²	1	1	yes	characteristic, complemented
44	#66059	C₂²	1	1	yes	characteristic
45	#66043	—	2	1	no	—
46	D₅×#126	—	2	1	no	—
47	#66029	C₂²	1	1	yes	characteristic
48	D₅×#125	C₂²	1	1	yes	characteristic, complemented
49	#65995	—	2	1	no	—
50	#65990	—	2	1	no	—
51	#65990	—	2	1	no	—
52	#65988	—	2	1	no	—
53	#65988	—	2	1	no	—
54	D₅×#123	—	2	1	no	—
55	#65967	C₂²	1	1	yes	characteristic, complemented
56	#65967	C₂²	1	1	yes	characteristic, complemented
57	#65961	C₂²	1	1	yes	characteristic
58	#65961	C₂²	1	1	yes	characteristic
59	#65952	C₂²	1	1	yes	characteristic, complemented
60	#65948	C₂²	1	1	yes	characteristic, complemented
61	#65943	—	2	1	no	—
62	D₅×#121	—	2	1	no	—
63	D₅×#121	C₂²	1	1	yes	characteristic, complemented
64	D₅×#121	C₂²	1	1	yes	characteristic, complemented
65	#65935	—	2	1	no	—
66	#65930	—	2	1	no	—
67	#65899	C₂²	1	1	yes	characteristic, complemented
68	#65892	C₂²	1	1	yes	characteristic
69	#65887	C₂²	1	1	yes	characteristic, complemented
70	D₄×D₂₀	C₂²	1	1	yes	characteristic, complemented
71	C₄×D₄×D₅	—	2	1	no	—
72	C₄×D₄×D₅	C₂²	1	1	yes	characteristic
73	C₄×D₄×D₅	C₂²	1	1	yes	characteristic, complemented
74	#65874	—	2	1	no	—
75	C₄×#711	C₂²	1	1	yes	characteristic
76	#65864	C₂²	1	1	yes	characteristic, complemented
77	D₅×#117	C₂²	1	1	yes	characteristic, complemented
78	#65848	C₂²	1	1	yes	characteristic, complemented
79	#65841	—	2	1	no	—
80	C₂×#4039	—	2	1	no	—
81	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
82	C₅×#491	C₂²	1	1	yes	characteristic, complemented
83	C₅×#485	C₂²	1	1	yes	characteristic, complemented
84	C₅×#483	C₂²	1	1	yes	characteristic, complemented
85	C₅×#478	C₂²	1	1	yes	characteristic, complemented
86	C₅×#468	C₂²	1	1	yes	characteristic, complemented
87	C₅×#465	C₂²	1	1	yes	characteristic, complemented
88	C₅×#461	C₂²	1	1	yes	characteristic, complemented
89	C₅×#449	C₂²	1	1	yes	characteristic, complemented
90	C₅×#449	C₂²	1	1	yes	characteristic, complemented
91	C₅×#442	C₂²	1	1	yes	characteristic, complemented
92	C₅×#435	C₂²	1	1	yes	characteristic, complemented
93	C₅×#417	C₂²	1	1	yes	characteristic, complemented
94	C₅×#416	C₂²	1	1	yes	characteristic, complemented
95	#65527	C₂²	1	1	yes	characteristic, complemented
96	#65527	C₂²	1	1	yes	characteristic, complemented
97	#65522	C₂²	1	1	yes	characteristic, complemented
98	#65521	C₂²	1	1	yes	characteristic, complemented
99	#65463	C₂²	1	1	yes	characteristic, complemented
100	#65460	C₂²	1	1	yes	characteristic, complemented
101	#65459	C₂²	1	1	yes	characteristic, complemented
102	#65459	C₂²	1	1	yes	characteristic, complemented
103	#65454	C₂²	1	1	yes	characteristic, complemented
104	#65454	C₂²	1	1	yes	characteristic, complemented
105	#65445	C₂²	1	1	yes	characteristic, complemented
106	#65445	C₂²	1	1	yes	characteristic, complemented
107	D₈×Dic₅	C₂²	1	1	yes	characteristic, complemented
108	#65424	C₂²	1	1	yes	characteristic, complemented
109	#65422	C₂²	1	1	yes	characteristic, complemented
110	#65417	C₂²	1	1	yes	characteristic, complemented
111	#65404	C₂²	1	1	yes	characteristic, complemented
112	#65402	C₂²	1	1	yes	characteristic, complemented
113	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
114	#65372	C₂²	1	1	yes	characteristic, complemented
115	#65371	C₂²	1	1	yes	characteristic, complemented
116	#65356	C₂²	1	1	yes	characteristic, complemented
117	#65352	C₂²	1	1	yes	characteristic, complemented
118	#65338	C₂²	1	1	yes	characteristic, complemented
119	#65337	C₂²	1	1	yes	characteristic, complemented
120	#65334	C₂²	1	1	yes	characteristic, complemented
121	#65332	C₂²	1	1	yes	characteristic, complemented
122	#65328	C₂²	1	1	yes	characteristic, complemented
123	#65327	C₂²	1	1	yes	characteristic, complemented
124	#65326	C₂²	1	1	yes	characteristic, complemented
125	#65326	C₂²	1	1	yes	characteristic, complemented
126	#65307	C₂²	1	1	yes	characteristic, complemented
127	#65304	C₂²	1	1	yes	characteristic, complemented
128	#65303	C₂²	1	1	yes	characteristic, complemented
129	#65300	C₂²	1	1	yes	characteristic, complemented
130	#65298	C₂²	1	1	yes	characteristic, complemented
131	#65292	C₂²	1	1	yes	characteristic, complemented
132	#65291	C₂²	1	1	yes	characteristic, complemented
133	#65256	C₂²	1	1	yes	characteristic, complemented
134	#65255	C₂²	1	1	yes	characteristic, complemented
135	#65174	C₂²	1	1	yes	characteristic, complemented
136	#65172	C₂²	1	1	yes	characteristic, complemented
137	#65170	C₂²	1	1	yes	characteristic, complemented
138	#65166	C₂²	1	1	yes	characteristic, complemented
139	#65155	C₂²	1	1	yes	characteristic, complemented
140	#65154	C₂²	1	1	yes	characteristic, complemented
141	#65152	C₂²	1	1	yes	characteristic, complemented
142	#65152	C₂²	1	1	yes	characteristic, complemented
143	#65150	C₂²	1	1	yes	characteristic, complemented
144	#65150	C₂²	1	1	yes	characteristic, complemented
145	#65146	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic, complemented
147	#65132	C₂²	1	1	yes	characteristic, complemented
148	#65126	C₂²	1	1	yes	characteristic, complemented
149	#65125	C₂²	1	1	yes	characteristic, complemented
150	#65118	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic, complemented
152	#65108	C₂²	1	1	yes	characteristic, complemented
153	#65104	C₂²	1	1	yes	characteristic, complemented
154	#65103	C₂²	1	1	yes	characteristic, complemented
155	#65101	C₂²	1	1	yes	characteristic, complemented
156	#65098	C₂²	1	1	yes	characteristic, complemented
157	#65098	C₂²	1	1	yes	characteristic, complemented
158	#65096	C₂²	1	1	yes	characteristic, complemented
159	#65095	C₂²	1	1	yes	characteristic, complemented
160	#65095	C₂²	1	1	yes	characteristic, complemented
161	#65092	C₂²	1	1	yes	characteristic, complemented
162	#65092	C₂²	1	1	yes	characteristic, complemented
163	#65092	C₂²	1	1	yes	characteristic, complemented
164	#65092	C₂²	1	1	yes	characteristic, complemented
165	#65092	C₂²	1	1	yes	characteristic, complemented
166	#65092	C₂²	1	1	yes	characteristic, complemented
167	#65091	C₂²	1	1	yes	characteristic, complemented
168	#65091	C₂²	1	1	yes	characteristic, complemented
169	D₅×#103	C₂²	1	1	yes	characteristic, complemented
170	D₅×#103	C₂²	1	1	yes	characteristic, complemented
171	#65089	C₂²	1	1	yes	characteristic, complemented
172	#65089	C₂²	1	1	yes	characteristic, complemented
173	#65089	C₂²	1	1	yes	characteristic, complemented
174	#65089	C₂²	1	1	yes	characteristic, complemented
175	#65071	C₂²	1	1	yes	characteristic, complemented
176	#65064	C₂²	1	1	yes	characteristic, complemented
177	#65062	C₂²	1	1	yes	characteristic, complemented
178	#65062	C₂²	1	1	yes	characteristic, complemented
179	#65060	C₂²	1	1	yes	characteristic
180	#65060	C₂²	1	1	yes	characteristic
181	#65060	C₂²	1	1	yes	characteristic
182	#65059	C₂²	1	1	yes	characteristic, complemented
183	#65059	C₂²	1	1	yes	characteristic, complemented
184	#65059	C₂²	1	1	yes	characteristic, complemented
185	D₅×#102	C₂²	1	1	yes	characteristic, complemented
186	D₅×#102	C₂²	1	1	yes	characteristic, complemented
187	#65055	C₂²	1	1	yes	characteristic, complemented
188	#65052	C₂²	1	1	yes	characteristic, complemented
189	#65047	C₂²	1	1	yes	characteristic, complemented
190	#65045	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65025	C₂²	1	1	yes	characteristic, complemented
193	#65023	C₂²	1	1	yes	characteristic, complemented
194	#65023	C₂²	1	1	yes	characteristic, complemented
195	#65018	C₂²	1	1	yes	characteristic, complemented
196	#65015	C₂²	1	1	yes	characteristic, complemented
197	#65015	C₂²	1	1	yes	characteristic, complemented
198	#65014	C₂²	1	1	yes	characteristic, complemented
199	#65002	C₂²	1	1	yes	characteristic, complemented
200	#64999	C₂²	1	1	yes	characteristic, complemented
201	#64996	C₂²	1	1	yes	characteristic, complemented
202	#64995	C₂²	1	1	yes	characteristic, complemented
203	#61164	—	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	—	2	4	no	—
207	D₅×#41	—	2	4	no	—
208	D₅×#41	—	4	2	no	—
209	D₅×#41	—	4	2	no	—
210	C₂×#713	C₂³	1	1	yes	characteristic
211	C₂×#713	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
213	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
214	C₂×#711	—	2	1	no	—
215	C₂×#711	—	2	1	no	—
216	C₂×#711	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₅	—	2	1	no	—
218	C₂×D₄×D₅	—	2	1	no	—
219	C₂×D₄×D₅	—	2	1	no	—
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	D₄	1	1	yes	characteristic
222	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
223	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
224	C₂×D₄×D₅	C₂³	1	1	yes	characteristic
225	C₂×#709	—	2	1	no	—
226	C₂×#709	—	2	1	no	—
227	C₂×#709	C₂³	1	1	yes	characteristic
228	C₂×#709	C₂³	1	1	yes	characteristic
229	C₂²×D₂₀	—	2	1	no	—
230	C₂²×C₄×D₅	—	2	1	no	—
231	C₂²×C₄×D₅	—	2	1	no	—
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×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₅×D₈	C₂³	1	1	yes	characteristic
239	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
240	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
241	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
242	C₅×#126	—	2	1	no	—
243	C₅×#125	C₂³	1	1	yes	characteristic
244	C₅×#123	—	2	1	no	—
245	C₅×#123	—	2	1	no	—
246	C₅×#123	—	2	1	no	—
247	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
249	C₅×#121	—	2	1	no	—
250	C₅×#121	—	2	1	no	—
251	C₅×#121	C₂³	1	1	yes	characteristic
252	C₅×#121	C₂³	1	1	yes	characteristic
253	C₄×C₅×D₄	—	2	1	no	—
254	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
255	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
256	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
257	C₅×#117	C₂³	1	1	yes	characteristic
258	C₂×C₅×C₄⋊C₄	—	2	1	no	—
259	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	#4093	C₂³	1	1	yes	characteristic
261	#4093	C₂³	1	1	yes	characteristic
262	#4092	C₂³	1	1	yes	characteristic
263	#4092	C₂³	1	1	yes	characteristic
264	C₂×#688	C₂³	1	1	yes	characteristic
265	C₂×#688	C₂³	1	1	yes	characteristic
266	#4086	—	2	1	no	—
267	#4085	—	2	1	no	—
268	#4085	—	2	1	no	—
269	#4085	—	2	1	no	—
270	#4085	—	2	1	no	—
271	#4085	—	2	1	no	—
272	#4085	—	2	1	no	—
273	#4084	—	2	1	no	—
274	#4084	C₂³	1	1	yes	characteristic
275	#4084	C₂³	1	1	yes	characteristic
276	#4083	—	2	1	no	—
277	#4083	—	2	1	no	—
278	#4081	—	2	1	no	—
279	D₄×Dic₅	—	2	1	no	—
280	D₄×Dic₅	D₄	1	1	yes	characteristic
281	D₄×Dic₅	C₂³	1	1	yes	characteristic
282	D₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×#687	C₂³	1	1	yes	characteristic
284	C₂×#686	C₂³	1	1	yes	characteristic
285	C₂×#686	C₂³	1	1	yes	characteristic
286	C₂×#686	C₂³	1	1	yes	characteristic
287	#4076	—	2	1	no	—
288	#4076	—	2	1	no	—
289	#4076	C₂³	1	1	yes	characteristic
290	#4076	C₂³	1	1	yes	characteristic
291	#4076	C₂³	1	1	yes	characteristic
292	#4076	C₂³	1	1	yes	characteristic
293	#4075	—	2	1	no	—
294	#4075	—	2	1	no	—
295	#4075	—	2	1	no	—
296	C₄×C₂²⋊D₅	—	2	1	no	—
297	C₄×C₂²⋊D₅	—	2	1	no	—
298	C₄×C₂²⋊D₅	—	2	1	no	—
299	C₄×C₂²⋊D₅	—	2	1	no	—
300	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
302	C₂×#685	—	2	1	no	—
303	C₂×#685	—	2	1	no	—
304	#4072	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
306	C₂×#683	—	2	1	no	—
307	C₂×C₄×Dic₅	—	2	1	no	—
308	C₂×#681	C₂³	1	1	yes	characteristic
309	C₂²×#168	C₂³	1	1	yes	characteristic
310	#4060	—	4	2	no	—
311	#4060	—	4	2	no	—
312	#4057	—	2	4	no	—
313	D₅×M₁₆	—	4	2	no	—
314	C₂×D₄₀	C₂³	1	1	yes	characteristic
315	C₂×D₄₀	C₂³	1	1	yes	characteristic
316	C₂×#677	C₂³	1	1	yes	characteristic
317	C₂×#676	—	4	2	no	—
318	C₂×#676	C₂³	1	1	yes	characteristic
319	C₂×#676	C₂³	1	1	yes	characteristic
320	C₂×#676	C₂³	1	1	yes	characteristic
321	C₂×#676	C₂³	1	1	yes	characteristic
322	C₂×#676	C₂³	1	1	yes	characteristic
323	C₂×#676	C₂³	1	1	yes	characteristic
324	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
326	#4044	—	2	1	no	—
327	#4044	—	2	1	no	—
328	#4044	—	2	1	no	—
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4042	—	2	1	no	—
332	#4042	—	2	1	no	—
333	#4041	—	2	1	no	—
334	#4041	—	2	1	no	—
335	#4041	—	2	1	no	—
336	#4041	C₂³	1	1	yes	characteristic
337	#4041	C₂³	1	1	yes	characteristic
338	#4041	C₂³	1	1	yes	characteristic
339	#4041	C₂³	1	1	yes	characteristic
340	#4040	—	2	1	no	—
341	#4040	—	2	1	no	—
342	#4040	—	2	1	no	—
343	#4040	—	2	1	no	—
344	#4039	—	2	1	no	—
345	#4039	—	2	1	no	—
346	#4039	—	2	1	no	—
347	#4039	—	2	1	no	—
348	#4039	—	2	1	no	—
349	#4039	—	2	1	no	—
350	#4039	—	2	1	no	—
351	#4039	—	2	1	no	—
352	#4039	—	2	1	no	—
353	#4039	D₄	1	1	yes	characteristic
354	#4039	C₂³	1	1	yes	characteristic
355	#4038	C₂³	1	1	yes	characteristic
356	#4038	C₂³	1	1	yes	characteristic
357	#4038	C₂³	1	1	yes	characteristic
358	D₅×C₄⋊C₄	—	2	1	no	—
359	D₅×C₄⋊C₄	—	2	1	no	—
360	D₅×C₄⋊C₄	—	2	1	no	—
361	D₅×C₄⋊C₄	—	2	1	no	—
362	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
363	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
364	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
365	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
366	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
367	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
368	#4036	C₂³	1	1	yes	characteristic
369	#4036	C₂³	1	1	yes	characteristic
370	#4035	—	2	1	no	—
371	#4035	—	2	1	no	—
372	#4034	—	2	1	no	—
373	#4033	C₂³	1	1	yes	characteristic
374	#4032	—	2	1	no	—
375	#4031	—	2	1	no	—
376	#4031	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4030	—	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	#4027	—	2	1	no	—
396	#4027	—	2	1	no	—
397	#4027	D₄	1	1	yes	characteristic
398	#4027	D₄	1	1	yes	characteristic
399	D₅×C₂²⋊C₄	—	2	1	no	—
400	D₅×C₂²⋊C₄	—	2	1	no	—
401	D₅×C₂²⋊C₄	—	2	1	no	—
402	D₅×C₂²⋊C₄	—	2	1	no	—
403	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
404	D₅×C₂²⋊C₄	D₄	1	1	yes	characteristic
405	#4025	—	2	1	no	—
406	#4025	—	2	1	no	—
407	#4025	—	2	1	no	—
408	#4023	—	2	1	no	—
409	#4023	—	2	1	no	—
410	#4022	—	2	1	no	—
411	#4020	C₂³	1	1	yes	characteristic
412	C₄×D₂₀	—	2	1	no	—
413	C₄×D₂₀	C₂³	1	1	yes	characteristic
414	C₄×D₂₀	C₂³	1	1	yes	characteristic
415	#4018	—	2	1	no	—
416	C₄²×D₅	—	2	1	no	—
417	C₄²×D₅	C₂³	1	1	yes	characteristic
418	#4016	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₅×#107	C₂³	1	1	yes	characteristic
421	C₅×#106	C₂³	1	1	yes	characteristic
422	C₅×#106	C₂³	1	1	yes	characteristic
423	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#102	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#102	C₂³	1	1	yes	characteristic
434	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
435	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
436	C₅×#97	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3964	C₂³	1	1	yes	characteristic
446	#3964	C₂³	1	1	yes	characteristic
447	C₂²⋊#168	C₂³	1	1	yes	characteristic
448	C₂²⋊#168	C₂³	1	1	yes	characteristic
449	#3953	C₂³	1	1	yes	characteristic
450	#3953	C₂³	1	1	yes	characteristic
451	#3953	C₂³	1	1	yes	characteristic
452	#3953	C₂³	1	1	yes	characteristic
453	#3953	C₂³	1	1	yes	characteristic
454	#3953	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3952	C₂³	1	1	yes	characteristic
457	#3952	C₂³	1	1	yes	characteristic
458	#3952	C₂³	1	1	yes	characteristic
459	#3952	C₂³	1	1	yes	characteristic
460	#3950	C₂³	1	1	yes	characteristic
461	#3950	C₂³	1	1	yes	characteristic
462	#3949	C₂³	1	1	yes	characteristic
463	#3948	C₂³	1	1	yes	characteristic
464	#3948	C₂³	1	1	yes	characteristic
465	#3948	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	C₈×Dic₅	C₂³	1	1	yes	characteristic
469	C₈×Dic₅	C₂³	1	1	yes	characteristic
470	#3942	C₂³	1	1	yes	characteristic
471	#3942	C₂³	1	1	yes	characteristic
472	#3942	C₂³	1	1	yes	characteristic
473	#3941	C₂³	1	1	yes	characteristic
474	#3941	C₂³	1	1	yes	characteristic
475	#3941	C₂³	1	1	yes	characteristic
476	#3941	C₂³	1	1	yes	characteristic
477	#3941	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3940	C₂³	1	1	yes	characteristic
482	#3940	C₂³	1	1	yes	characteristic
483	#3939	C₂³	1	1	yes	characteristic
484	#3939	C₂³	1	1	yes	characteristic
485	#3939	C₂³	1	1	yes	characteristic
486	C₄⋊#168	C₂³	1	1	yes	characteristic
487	#3935	C₂³	1	1	yes	characteristic
488	C₂×#553	—	5	1	no	—
489	D₄×#41	—	5	1	no	—
490	#3326	—	5	1	no	—
491	#3326	—	5	1	no	—
492	#3322	—	5	1	no	—
493	#3322	—	5	1	no	—
494	#3320	—	5	1	no	—
495	#3320	—	5	1	no	—
496	#3318	—	5	1	no	—
497	#3318	—	5	1	no	—
498	#3309	—	5	1	no	—
499	#3309	—	5	1	no	—
500	#3307	—	5	1	no	—
501	#3307	D₅	1	1	yes	characteristic, complemented
502	#3301	—	5	1	no	—
503	#3301	—	5	1	no	—
504	#3297	—	5	1	no	—
505	#3297	—	5	1	no	—
506	#3142	—	5	1	no	—
507	#3093	—	5	1	no	—
508	#3092	—	5	1	no	—
509	#3080	—	5	1	no	—
510	#3055	—	5	1	no	—
511	#3055	—	5	1	no	—
512	#3036	—	5	1	no	—
513	#3006	—	5	1	no	—
514	#3006	—	5	1	no	—
515	C₄×AGL(1,ℤ/8)	—	5	1	no	—
516	D₄×M₁₆	—	5	1	no	—
517	#2896	—	5	1	no	—
518	C₂×#417	—	5	1	no	—
519	C₂³×D₅	—	2	1	no	—
520	C₂³×D₅	—	2	1	no	—
521	C₂³×D₅	—	2	1	no	—
522	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
523	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
524	C₅×#41	—	2	2	no	—
525	C₅×#41	—	2	2	no	—
526	C₅×#41	—	4	1	no	—
527	C₅×#41	—	4	1	no	—
528	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
529	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
530	C₂×C₅×D₄	—	2	1	no	—
531	C₂×C₅×D₄	—	2	1	no	—
532	C₂×C₅×D₄	—	2	1	no	—
533	C₂×C₅×D₄	—	2	1	no	—
534	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
535	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
537	C₂²×C₄×C₅	—	2	1	no	—
538	C₂²×C₄×C₅	—	2	1	no	—
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	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	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	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
558	C₂²×Dic₅	—	2	1	no	—
559	C₂²×Dic₅	—	2	1	no	—
560	C₂²×Dic₅	—	2	1	no	—
561	C₂²×Dic₅	—	2	1	no	—
562	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
563	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
564	#713	—	2	2	no	—
565	#713	—	2	2	no	—
566	#713	—	2	2	no	—
567	#713	—	2	2	no	—
568	Q₈×D₅	—	2	2	no	—
569	Q₈×D₅	—	2	2	no	—
570	Q₈×D₅	—	4	1	no	—
571	Q₈×D₅	—	4	1	no	—
572	#711	—	2	2	no	—
573	#711	—	4	4	no	—
574	#711	—	4	4	no	—
575	#711	#41	1	4	yes	—
576	D₄×D₅	—	2	2	no	—
577	D₄×D₅	—	2	2	no	—
578	D₄×D₅	—	2	2	no	—
579	D₄×D₅	—	2	2	no	—
580	D₄×D₅	—	4	1	no	—
581	D₄×D₅	—	4	1	no	—
582	D₄×D₅	—	4	2	no	—
583	D₄×D₅	—	4	4	no	—
584	D₄×D₅	—	4	4	no	—
585	D₄×D₅	—	4	4	no	—
586	D₄×D₅	—	8	2	no	—
587	#709	—	2	2	no	—
588	#709	—	2	2	no	—
589	#709	—	4	1	no	—
590	#709	—	4	1	no	—
591	#709	—	4	4	no	—
592	#709	—	4	4	no	—
593	C₂×D₂₀	—	2	1	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	—	2	1	no	—
601	C₂×D₂₀	—	4	4	no	—
602	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
603	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
604	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
605	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₅	—	2	2	no	—
607	C₂×C₄×D₅	—	2	2	no	—
608	C₂×C₄×D₅	—	2	2	no	—
609	C₂×C₄×D₅	—	2	2	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	—	2	1	no	—
622	C₂×C₄×D₅	—	2	1	no	—
623	C₂×C₄×D₅	—	4	4	no	—
624	C₂×C₄×D₅	—	4	4	no	—
625	C₂×C₄×D₅	—	8	2	no	—
626	C₂×C₄×D₅	—	8	2	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	C₂×D₄	1	1	yes	characteristic
632	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
633	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
634	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
635	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
636	C₂×Dic₁₀	—	2	1	no	—
637	C₂×Dic₁₀	—	2	1	no	—
638	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
639	C₅×SD₁₆	—	4	1	no	—
640	C₅×SD₁₆	—	4	1	no	—
641	C₅×D₈	—	2	2	no	—
642	C₅×M₁₆	—	4	1	no	—
643	C₂×C₅×C₈	—	4	1	no	—
644	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
645	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
646	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
647	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
653	C₅×C₄⋊C₄	—	2	1	no	—
654	C₅×C₄⋊C₄	—	2	1	no	—
655	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
656	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
658	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
659	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
666	C₅×C₂²⋊C₄	—	2	1	no	—
667	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
669	C₄²×C₅	—	2	1	no	—
670	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	#688	—	4	1	no	—
679	#688	—	4	1	no	—
680	#687	—	2	2	no	—
681	#686	—	2	2	no	—
682	#686	—	4	1	no	—
683	#686	—	4	1	no	—
684	#685	—	2	1	no	—
685	#685	—	2	1	no	—
686	#685	—	2	1	no	—
687	#685	—	2	1	no	—
688	#685	—	2	1	no	—
689	#685	—	2	1	no	—
690	#685	—	2	1	no	—
691	#685	—	2	1	no	—
692	#685	—	2	1	no	—
693	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
704	#685	C₂×D₄	1	1	yes	characteristic
705	#685	C₂×D₄	1	1	yes	characteristic
706	#685	C₂×D₄	1	1	yes	characteristic
707	C₄⋊Dic₅	—	2	1	no	—
708	C₄⋊Dic₅	—	2	1	no	—
709	C₄⋊Dic₅	—	2	1	no	—
710	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
711	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
712	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
713	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
714	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
715	#683	—	2	1	no	—
716	#683	—	2	1	no	—
717	#683	—	2	1	no	—
718	#683	—	2	1	no	—
719	#683	—	2	1	no	—
720	#683	—	2	1	no	—
721	#683	—	2	1	no	—
722	#683	—	2	1	no	—
723	#683	—	2	1	no	—
724	#683	—	2	1	no	—
725	#683	—	2	1	no	—
726	#683	—	2	1	no	—
727	#683	—	2	1	no	—
728	#683	C₂×D₄	1	1	yes	characteristic
729	#683	C₂×D₄	1	1	yes	characteristic
730	C₄×Dic₅	—	2	1	no	—
731	C₄×Dic₅	—	2	1	no	—
732	C₄×Dic₅	—	2	1	no	—
733	C₄×Dic₅	—	2	1	no	—
734	C₄×Dic₅	—	2	1	no	—
735	C₄×Dic₅	—	2	1	no	—
736	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
737	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
738	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
739	#681	—	4	1	no	—
740	C₂×#168	—	4	1	no	—
741	C₂×#168	C₂⁴	1	1	yes	characteristic
742	C₂×#168	C₂⁴	1	1	yes	characteristic
743	C₂×#168	C₂⁴	1	1	yes	characteristic
744	C₂×#168	C₂⁴	1	1	yes	characteristic
745	D₄₀	—	4	1	no	—
746	D₄₀	—	4	1	no	—
747	#677	—	2	2	no	—
748	#676	—	2	2	no	—
749	#676	—	2	2	no	—
750	#676	—	2	2	no	—
751	#676	—	2	2	no	—
752	#676	—	4	1	no	—
753	#676	—	4	1	no	—
754	C₈×D₅	—	4	1	no	—
755	C₈×D₅	—	4	1	no	—
756	C₂²×#41	—	5	1	no	—
757	C₂²×#41	—	5	1	no	—
758	C₂×AGL(1,ℤ/8)	—	5	1	no	—
759	C₂×AGL(1,ℤ/8)	—	5	1	no	—
760	C₂×AGL(1,ℤ/8)	—	5	1	no	—
761	C₂²×M₁₆	—	5	1	no	—
762	C₂²×M₁₆	—	5	1	no	—
763	#553	—	5	1	no	—
764	#553	—	5	1	no	—
765	#553	—	5	1	no	—
766	#553	—	5	1	no	—
767	#553	—	5	1	no	—
768	#553	—	5	1	no	—
769	#553	—	5	1	no	—
770	#553	—	10	1	no	—
771	#553	—	10	1	no	—
772	#553	—	10	1	no	—
773	#553	—	10	1	no	—
774	#553	C₂×D₅	1	1	yes	characteristic, complemented
775	#550	—	5	1	no	—
776	D₄×Q₈	—	5	1	no	—
777	#548	—	5	1	no	—
778	#548	—	5	1	no	—
779	#547	—	10	1	no	—
780	#547	C₂×D₅	1	1	yes	characteristic, complemented
781	#546	—	5	1	no	—
782	#546	—	5	1	no	—
783	#546	—	10	1	no	—
784	#546	—	10	1	no	—
785	D₄²	—	5	1	no	—
786	D₄²	—	10	1	no	—
787	#532	—	5	1	no	—
788	#532	—	10	1	no	—
789	C₂×#126	—	10	1	no	—
790	C₂×#125	—	5	1	no	—
791	#525	—	5	1	no	—
792	#525	—	5	1	no	—
793	#525	—	10	1	no	—
794	#525	—	10	1	no	—
795	C₂×#123	—	10	1	no	—
796	C₂×#121	—	5	1	no	—
797	C₂×#121	—	5	1	no	—
798	C₂×#121	—	10	1	no	—
799	C₄×#41	—	5	1	no	—
800	C₂×C₄×D₄	—	5	1	no	—
801	C₂×C₄×D₄	—	5	1	no	—
802	C₂×C₄×D₄	—	10	1	no	—
803	C₂×C₄×D₄	—	10	1	no	—
804	C₂×#117	—	5	1	no	—
805	C₂²×C₄⋊C₄	—	5	1	no	—
806	#491	—	5	1	no	—
807	#491	C₂×D₅	1	1	yes	characteristic, complemented
808	#490	—	5	1	no	—
809	#490	—	5	1	no	—
810	#488	—	5	1	no	—
811	#488	—	5	1	no	—
812	#488	—	5	1	no	—
813	#488	—	5	1	no	—
814	#485	—	5	1	no	—
815	#485	—	5	1	no	—
816	#485	—	5	1	no	—
817	#485	C₂×D₅	1	1	yes	characteristic, complemented
818	#484	—	5	1	no	—
819	#484	—	5	1	no	—
820	#483	—	5	1	no	—
821	#483	C₂×D₅	1	1	yes	characteristic, complemented
822	#482	—	5	1	no	—
823	#482	—	5	1	no	—
824	#482	—	5	1	no	—
825	#482	—	5	1	no	—
826	#481	—	5	1	no	—
827	#481	—	5	1	no	—
828	#480	—	5	1	no	—
829	#480	—	5	1	no	—
830	#479	—	5	1	no	—
831	#479	—	5	1	no	—
832	#479	—	5	1	no	—
833	#479	—	5	1	no	—
834	#478	—	5	1	no	—
835	#478	—	5	1	no	—
836	#478	—	5	1	no	—
837	#478	C₂×D₅	1	1	yes	characteristic, complemented
838	#469	—	5	1	no	—
839	#469	—	5	1	no	—
840	#469	—	5	1	no	—
841	#469	—	5	1	no	—
842	#468	—	5	1	no	—
843	#468	—	5	1	no	—
844	#468	—	5	1	no	—
845	#468	C₂×D₅	1	1	yes	characteristic, complemented
846	#466	—	5	1	no	—
847	#466	—	5	1	no	—
848	#466	—	5	1	no	—
849	#466	—	5	1	no	—
850	#465	—	5	1	no	—
851	#465	—	5	1	no	—
852	#465	—	5	1	no	—
853	#465	C₂×D₅	1	1	yes	characteristic, complemented
854	#463	—	5	1	no	—
855	#463	—	5	1	no	—
856	#463	—	5	1	no	—
857	#463	—	5	1	no	—
858	#461	—	5	1	no	—
859	#461	C₂×D₅	1	1	yes	characteristic, complemented
860	#459	—	5	1	no	—
861	#459	—	5	1	no	—
862	#449	—	5	1	no	—
863	#449	—	5	1	no	—
864	#449	—	5	1	no	—
865	#449	—	5	1	no	—
866	#449	—	5	1	no	—
867	#449	—	5	1	no	—
868	#449	C₂×D₅	1	1	yes	characteristic, complemented
869	#449	C₂×D₅	1	1	yes	characteristic, complemented
870	#448	—	5	1	no	—
871	#448	—	5	1	no	—
872	#448	—	5	1	no	—
873	#448	—	5	1	no	—
874	#447	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	#447	—	5	1	no	—
878	#442	—	5	1	no	—
879	#442	C₂×D₅	1	1	yes	characteristic, complemented
880	#440	—	5	1	no	—
881	#440	—	5	1	no	—
882	C₄×SD₁₆	—	5	1	no	—
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×D₈	—	5	1	no	—
885	C₄×D₈	—	5	1	no	—
886	#436	—	5	1	no	—
887	#436	—	5	1	no	—
888	#435	—	5	1	no	—
889	#435	—	5	1	no	—
890	#435	—	5	1	no	—
891	#435	C₂×D₅	1	1	yes	characteristic, complemented
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	#428	—	5	1	no	—
895	#428	—	5	1	no	—
896	#428	—	5	1	no	—
897	#423	—	5	1	no	—
898	#419	—	5	1	no	—
899	#419	—	5	1	no	—
900	#418	—	5	1	no	—
901	#418	—	5	1	no	—
902	#418	—	5	1	no	—
903	#417	—	5	1	no	—
904	#417	—	5	1	no	—
905	#417	—	5	1	no	—
906	#417	—	5	1	no	—
907	#417	—	5	1	no	—
908	#417	—	5	1	no	—
909	#417	—	5	1	no	—
910	#417	—	5	1	no	—
911	#417	—	5	1	no	—
912	#417	—	5	1	no	—
913	#417	—	5	1	no	—
914	#417	—	5	1	no	—
915	#417	C₂×D₅	1	1	yes	characteristic, complemented
916	#416	—	5	1	no	—
917	#416	—	5	1	no	—
918	#416	—	5	1	no	—
919	#416	C₂×D₅	1	1	yes	characteristic, complemented
920	C₂×#103	—	5	1	no	—
921	C₂×#103	—	5	1	no	—
922	C₂×#102	—	5	1	no	—
923	C₂×#102	—	5	1	no	—
924	#407	—	5	1	no	—
925	#407	—	5	1	no	—
926	C₄×M₁₆	—	5	1	no	—
927	C₂³×C₅	—	2	1	no	—
928	C₂³×C₅	—	2	1	no	—
929	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
930	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
931	C₂²×D₅	—	2	2	no	—
932	C₂²×D₅	—	2	2	no	—
933	C₂²×D₅	—	2	2	no	—
934	C₂²×D₅	—	2	1	no	—
935	C₂²×D₅	—	2	1	no	—
936	C₂²×D₅	—	2	1	no	—
937	C₂²×D₅	—	4	1	no	—
938	C₂²×D₅	—	4	1	no	—
939	C₂²×D₅	—	4	1	no	—
940	C₂²×D₅	—	4	2	no	—
941	C₂²×D₅	—	4	2	no	—
942	C₂²×D₅	—	4	2	no	—
943	C₂²×D₅	—	4	2	no	—
944	C₂²×D₅	—	4	2	no	—
945	C₂²×D₅	—	4	2	no	—
946	C₂²×D₅	—	4	2	no	—
947	C₂²×D₅	—	8	1	no	—
948	C₂²×D₅	—	8	1	no	—
949	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
950	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
951	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
952	C₅×Q₈	—	2	1	no	—
953	C₅×Q₈	—	2	1	no	—
954	C₅×Q₈	—	2	1	no	—
955	C₅×Q₈	—	2	1	no	—
956	C₅×D₄	—	2	1	no	—
957	C₅×D₄	—	2	1	no	—
958	C₅×D₄	—	2	1	no	—
959	C₅×D₄	—	4	1	no	—
960	C₅×D₄	—	4	2	no	—
961	C₅×D₄	—	4	2	no	—
962	C₅×D₄	—	4	2	no	—
963	C₅×D₄	—	8	1	no	—
964	C₅×D₄	C₂×#41	1	2	yes	—
965	C₂×C₄×C₅	—	2	1	no	—
966	C₂×C₄×C₅	—	2	1	no	—
967	C₂×C₄×C₅	—	2	1	no	—
968	C₂×C₄×C₅	—	2	1	no	—
969	C₂×C₄×C₅	—	2	1	no	—
970	C₂×C₄×C₅	—	2	1	no	—
971	C₂×C₄×C₅	—	2	1	no	—
972	C₂×C₄×C₅	—	2	1	no	—
973	C₂×C₄×C₅	—	2	1	no	—
974	C₂×C₄×C₅	—	2	1	no	—
975	C₂×C₄×C₅	—	4	2	no	—
976	C₂×C₄×C₅	—	4	2	no	—
977	C₂×C₄×C₅	—	4	2	no	—
978	C₂×C₄×C₅	—	8	1	no	—
979	C₂×C₄×C₅	—	8	1	no	—
980	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
981	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
982	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
983	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
984	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
985	C₂²⋊D₅	—	2	4	no	—
986	C₂²⋊D₅	—	2	2	no	—
987	C₂²⋊D₅	—	4	1	no	—
988	C₂²⋊D₅	—	4	2	no	—
989	C₂²⋊D₅	—	4	2	no	—
990	C₂²⋊D₅	—	4	2	no	—
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	—	8	1	no	—
996	C₂²⋊D₅	—	8	1	no	—
997	C₂²⋊D₅	—	8	1	no	—
998	C₂²⋊D₅	—	8	1	no	—
999	C₂×Dic₅	—	2	1	no	—
1000	C₂×Dic₅	—	2	2	no	—
1001	C₂×Dic₅	—	2	2	no	—
1002	C₂×Dic₅	—	2	4	no	—
1003	C₂×Dic₅	—	2	1	no	—
1004	C₂×Dic₅	—	2	1	no	—
1005	C₂×Dic₅	—	2	1	no	—
1006	C₂×Dic₅	—	2	1	no	—
1007	C₂×Dic₅	—	8	1	no	—
1008	C₂×Dic₅	—	8	1	no	—
1009	C₂×Dic₅	—	8	1	no	—
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	2	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	—	2	1	no	—
1022	D₂₀	—	4	2	no	—
1023	D₂₀	—	4	2	no	—
1024	D₂₀	—	4	2	no	—
1025	D₂₀	—	4	2	no	—
1026	D₂₀	—	4	2	no	—
1027	D₂₀	—	4	2	no	—
1028	D₂₀	—	8	1	no	—
1029	D₂₀	—	8	1	no	—
1030	C₄×D₅	—	2	2	no	—
1031	C₄×D₅	—	2	2	no	—
1032	C₄×D₅	—	2	1	no	—
1033	C₄×D₅	—	2	1	no	—
1034	C₄×D₅	—	2	1	no	—
1035	C₄×D₅	—	2	1	no	—
1036	C₄×D₅	—	2	2	no	—
1037	C₄×D₅	—	2	2	no	—
1038	C₄×D₅	—	4	1	no	—
1039	C₄×D₅	—	4	1	no	—
1040	C₄×D₅	—	4	2	no	—
1041	C₄×D₅	—	4	2	no	—
1042	C₄×D₅	—	4	2	no	—
1043	C₄×D₅	—	4	2	no	—
1044	C₄×D₅	—	4	2	no	—
1045	C₄×D₅	—	4	2	no	—
1046	C₄×D₅	—	4	2	no	—
1047	C₄×D₅	—	4	2	no	—
1048	C₄×D₅	—	4	2	no	—
1049	C₄×D₅	—	8	1	no	—
1050	C₄×D₅	—	8	1	no	—
1051	C₄×D₅	—	8	1	no	—
1052	C₄×D₅	—	8	1	no	—
1053	C₄×D₅	C₂×#41	1	2	yes	—
1054	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
1055	Dic₁₀	—	2	1	no	—
1056	Dic₁₀	—	4	2	no	—
1057	Dic₁₀	—	4	2	no	—
1058	Dic₁₀	C₂×#41	1	2	yes	—
1059	C₅×C₈	—	2	1	no	—
1060	C₅×C₈	—	2	1	no	—
1061	C₅×C₈	—	2	1	no	—
1062	C₅×C₈	—	2	1	no	—
1063	#168	—	2	1	no	—
1064	#168	—	2	1	no	—
1065	#168	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	C₂×#41	—	5	1	no	—
1068	C₂×#41	—	5	1	no	—
1069	C₂×#41	—	5	1	no	—
1070	C₂×#41	—	5	1	no	—
1071	C₂×#41	—	5	1	no	—
1072	C₂×#41	—	10	1	no	—
1073	C₂×#41	—	10	1	no	—
1074	C₂×#41	—	10	1	no	—
1075	C₂×#41	—	10	1	no	—
1076	C₂×#41	—	10	4	no	—
1077	C₂×#41	—	10	4	no	—
1078	C₂×#41	—	20	2	no	—
1079	C₂×#41	—	20	2	no	—
1080	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1081	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1082	C₂²×Q₈	—	5	1	no	—
1083	C₂²×Q₈	—	5	1	no	—
1084	C₂²×D₄	—	5	1	no	—
1085	C₂²×D₄	—	5	1	no	—
1086	C₂²×D₄	—	5	1	no	—
1087	C₂²×D₄	—	5	1	no	—
1088	C₂²×D₄	—	10	1	no	—
1089	C₂²×D₄	—	10	1	no	—
1090	C₂²×D₄	—	10	1	no	—
1091	C₂²×D₄	—	10	1	no	—
1092	C₂²×D₄	—	10	1	no	—
1093	C₂³×C₄	—	5	1	no	—
1094	C₂³×C₄	—	5	1	no	—
1095	C₂³×C₄	—	10	1	no	—
1096	C₂³×C₄	—	10	1	no	—
1097	C₂³×C₄	—	10	1	no	—
1098	C₂³×C₄	—	10	1	no	—
1099	AGL(1,ℤ/8)	—	10	4	no	—
1100	AGL(1,ℤ/8)	—	20	2	no	—
1101	AGL(1,ℤ/8)	—	20	2	no	—
1102	C₂×SD₁₆	—	5	1	no	—
1103	C₂×SD₁₆	—	5	1	no	—
1104	C₂×SD₁₆	—	5	1	no	—
1105	C₂×SD₁₆	—	5	1	no	—
1106	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1107	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1108	C₂×D₈	—	5	1	no	—
1109	C₂×D₈	—	5	1	no	—
1110	C₂×D₈	—	5	1	no	—
1111	C₂×D₈	—	5	1	no	—
1112	C₂×D₈	—	5	1	no	—
1113	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1114	C₂×M₁₆	—	5	1	no	—
1115	C₂×M₁₆	—	5	1	no	—
1116	C₂×M₁₆	—	5	1	no	—
1117	C₂×M₁₆	—	5	1	no	—
1118	C₂×M₁₆	—	5	1	no	—
1119	C₂×M₁₆	—	5	1	no	—
1120	C₂×M₁₆	—	5	1	no	—
1121	C₂×M₁₆	—	20	2	no	—
1122	C₂×M₁₆	—	20	2	no	—
1123	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1124	C₂²×C₈	—	5	1	no	—
1125	C₂²×C₈	—	5	1	no	—
1126	C₂²×C₈	—	5	1	no	—
1127	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1128	C₄⋊Q₈	—	10	1	no	—
1129	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1130	#127	—	5	1	no	—
1131	#127	—	10	1	no	—
1132	#126	—	2	1	no	—
1133	#126	—	10	1	no	—
1134	#126	—	10	1	no	—
1135	#126	—	10	1	no	—
1136	#126	—	10	1	no	—
1137	#126	—	10	1	no	—
1138	#126	—	10	1	no	—
1139	#126	—	10	1	no	—
1140	#125	—	5	1	no	—
1141	#125	—	5	1	no	—
1142	#125	—	5	1	no	—
1143	#125	—	10	1	no	—
1144	#125	—	10	1	no	—
1145	#125	C₂²×D₅	1	1	yes	characteristic
1146	#124	—	5	1	no	—
1147	#124	—	5	1	no	—
1148	#124	—	10	1	no	—
1149	#124	—	10	1	no	—
1150	#123	—	2	1	no	—
1151	#123	—	2	1	no	—
1152	#123	—	2	1	no	—
1153	#123	—	10	1	no	—
1154	#123	—	10	1	no	—
1155	#123	—	10	1	no	—
1156	#123	—	10	1	no	—
1157	#123	—	10	1	no	—
1158	#123	—	10	1	no	—
1159	#123	—	10	1	no	—
1160	#123	—	10	1	no	—
1161	#123	—	10	1	no	—
1162	#123	—	10	1	no	—
1163	#123	—	10	1	no	—
1164	C₂²⋊Q₈	—	5	1	no	—
1165	C₂²⋊Q₈	—	5	1	no	—
1166	C₂²⋊Q₈	—	10	1	no	—
1167	C₂²⋊Q₈	—	10	1	no	—
1168	C₂²⋊Q₈	—	10	1	no	—
1169	C₂²⋊Q₈	—	10	1	no	—
1170	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1171	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1172	#121	—	2	1	no	—
1173	#121	—	2	1	no	—
1174	#121	—	5	1	no	—
1175	#121	—	5	1	no	—
1176	#121	—	5	1	no	—
1177	#121	—	5	1	no	—
1178	#121	—	5	1	no	—
1179	#121	—	5	1	no	—
1180	#121	—	5	1	no	—
1181	#121	—	5	1	no	—
1182	#121	—	5	1	no	—
1183	#121	—	5	1	no	—
1184	#121	—	10	1	no	—
1185	#121	—	10	1	no	—
1186	#121	—	10	1	no	—
1187	#121	—	10	1	no	—
1188	#121	—	10	1	no	—
1189	#121	—	10	1	no	—
1190	#121	—	10	1	no	—
1191	#121	—	10	1	no	—
1192	#121	—	10	1	no	—
1193	#121	—	10	1	no	—
1194	#121	—	10	1	no	—
1195	#121	—	10	1	no	—
1196	#121	—	10	1	no	—
1197	#121	—	10	1	no	—
1198	#121	—	10	1	no	—
1199	#121	—	10	1	no	—
1200	#121	—	10	1	no	—
1201	#121	—	10	1	no	—
1202	#121	—	10	1	no	—
1203	#121	—	10	1	no	—
1204	#121	C₂²×D₅	1	1	yes	characteristic
1205	#121	C₂²×D₅	1	1	yes	characteristic
1206	#120	—	10	1	no	—
1207	#120	—	10	1	no	—
1208	#120	—	10	1	no	—
1209	#120	—	10	1	no	—
1210	#120	—	10	1	no	—
1211	#120	—	10	1	no	—
1212	C₄×Q₈	—	5	1	no	—
1213	C₄×Q₈	—	5	1	no	—
1214	C₄×D₄	—	2	1	no	—
1215	C₄×D₄	—	5	1	no	—
1216	C₄×D₄	—	5	1	no	—
1217	C₄×D₄	—	5	1	no	—
1218	C₄×D₄	—	5	1	no	—
1219	C₄×D₄	—	5	1	no	—
1220	C₄×D₄	—	5	1	no	—
1221	C₄×D₄	—	5	1	no	—
1222	C₄×D₄	—	5	1	no	—
1223	C₄×D₄	—	5	1	no	—
1224	C₄×D₄	—	5	1	no	—
1225	C₄×D₄	—	5	1	no	—
1226	C₄×D₄	—	10	1	no	—
1227	C₄×D₄	—	10	1	no	—
1228	C₄×D₄	—	10	1	no	—
1229	C₄×D₄	—	10	1	no	—
1230	C₄×D₄	—	10	1	no	—
1231	C₄×D₄	—	10	1	no	—
1232	C₄×D₄	—	10	1	no	—
1233	C₄×D₄	—	10	1	no	—
1234	C₄×D₄	—	10	1	no	—
1235	C₄×D₄	—	10	1	no	—
1236	C₄×D₄	—	10	1	no	—
1237	C₄×D₄	—	10	1	no	—
1238	C₄×D₄	—	10	1	no	—
1239	C₄×D₄	—	10	1	no	—
1240	C₄×D₄	—	10	1	no	—
1241	C₄×D₄	—	10	1	no	—
1242	C₄×D₄	—	10	1	no	—
1243	C₄×D₄	—	10	1	no	—
1244	C₄×D₄	—	10	1	no	—
1245	C₄×D₄	—	10	1	no	—
1246	C₄×D₄	—	10	1	no	—
1247	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1248	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1249	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1250	#117	—	5	1	no	—
1251	#117	—	5	1	no	—
1252	#117	—	5	1	no	—
1253	#117	—	5	1	no	—
1254	#117	—	10	1	no	—
1255	#117	—	10	1	no	—
1256	#117	—	10	1	no	—
1257	#117	C₂²×D₅	1	1	yes	characteristic
1258	C₂×C₄⋊C₄	—	2	1	no	—
1259	C₂×C₄⋊C₄	—	5	1	no	—
1260	C₂×C₄⋊C₄	—	5	1	no	—
1261	C₂×C₄⋊C₄	—	5	1	no	—
1262	C₂×C₄⋊C₄	—	5	1	no	—
1263	C₂×C₄⋊C₄	—	5	1	no	—
1264	C₂×C₄⋊C₄	—	5	1	no	—
1265	C₂×C₄⋊C₄	—	5	1	no	—
1266	C₂×C₄⋊C₄	—	10	1	no	—
1267	C₂×C₄⋊C₄	—	10	1	no	—
1268	C₂×C₄⋊C₄	—	10	1	no	—
1269	C₂×C₄⋊C₄	—	10	1	no	—
1270	C₂×C₄⋊C₄	—	10	1	no	—
1271	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1272	C₂×C₂²⋊C₄	—	5	1	no	—
1273	C₂×C₂²⋊C₄	—	5	1	no	—
1274	C₂×C₂²⋊C₄	—	10	1	no	—
1275	C₂×C₂²⋊C₄	—	10	1	no	—
1276	C₂×C₂²⋊C₄	—	10	1	no	—
1277	C₂×C₂²⋊C₄	—	10	1	no	—
1278	C₂×C₂²⋊C₄	—	10	1	no	—
1279	C₂×C₂²⋊C₄	—	10	1	no	—
1280	C₂×C₄²	—	5	1	no	—
1281	C₂×C₄²	—	10	1	no	—
1282	C₂×C₄²	—	10	1	no	—
1283	#107	—	5	1	no	—
1284	#107	—	5	1	no	—
1285	#107	—	5	1	no	—
1286	#107	—	5	1	no	—
1287	#107	—	5	1	no	—
1288	#107	C₂²×D₅	1	1	yes	characteristic
1289	#106	—	5	1	no	—
1290	#106	—	5	1	no	—
1291	#106	—	5	1	no	—
1292	#106	—	5	1	no	—
1293	#106	C₂²×D₅	1	1	yes	characteristic
1294	#106	C₂²×D₅	1	1	yes	characteristic
1295	C₄⋊C₈	—	5	1	no	—
1296	C₄⋊C₈	—	5	1	no	—
1297	C₄⋊C₈	—	5	1	no	—
1298	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1299	#103	—	5	1	no	—
1300	#103	—	5	1	no	—
1301	#103	—	5	1	no	—
1302	#103	—	5	1	no	—
1303	#103	—	5	1	no	—
1304	#103	—	5	1	no	—
1305	#103	—	5	1	no	—
1306	#103	—	5	1	no	—
1307	#103	—	5	1	no	—
1308	#103	—	5	1	no	—
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	C₂²×D₅	1	1	yes	characteristic
1312	#103	C₂²×D₅	1	1	yes	characteristic
1313	#103	C₂²×D₅	1	1	yes	characteristic
1314	#103	C₂²×D₅	1	1	yes	characteristic
1315	#103	C₂²×D₅	1	1	yes	characteristic
1316	#103	C₂²×D₅	1	1	yes	characteristic
1317	#102	—	5	1	no	—
1318	#102	—	5	1	no	—
1319	#102	—	5	1	no	—
1320	#102	—	5	1	no	—
1321	#102	—	5	1	no	—
1322	#102	—	5	1	no	—
1323	#102	—	5	1	no	—
1324	#102	—	5	1	no	—
1325	#102	—	5	1	no	—
1326	#102	—	5	1	no	—
1327	#102	—	5	1	no	—
1328	#102	—	5	1	no	—
1329	#102	—	5	1	no	—
1330	#102	—	5	1	no	—
1331	#102	—	5	1	no	—
1332	#102	—	5	1	no	—
1333	#102	—	5	1	no	—
1334	#102	—	5	1	no	—
1335	#102	C₂²×D₅	1	1	yes	characteristic
1336	#102	C₂²×D₅	1	1	yes	characteristic
1337	#102	C₂²×D₅	1	1	yes	characteristic
1338	#102	C₂²×D₅	1	1	yes	characteristic
1339	C₂²⋊C₈	—	5	1	no	—
1340	C₂²⋊C₈	—	5	1	no	—
1341	C₂²⋊C₈	—	5	1	no	—
1342	C₂²⋊C₈	—	5	1	no	—
1343	C₂²⋊C₈	—	5	1	no	—
1344	C₂²⋊C₈	—	5	1	no	—
1345	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1346	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1347	#97	—	5	1	no	—
1348	#97	C₂²×D₅	1	1	yes	characteristic
1349	C₄×C₈	—	5	1	no	—
1350	C₄×C₈	—	5	1	no	—
1351	C₂²×C₅	—	2	1	no	—
1352	C₂²×C₅	—	2	1	no	—
1353	C₂²×C₅	—	2	2	no	—
1354	C₂²×C₅	—	2	1	no	—
1355	C₂²×C₅	—	2	1	no	—
1356	C₂²×C₅	—	2	1	no	—
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	4	1	no	—
1359	C₂²×C₅	—	4	1	no	—
1360	C₂²×C₅	—	4	1	no	—
1361	C₂²×C₅	—	4	1	no	—
1362	C₂²×C₅	—	4	1	no	—
1363	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1364	C₂×D₅	—	2	1	no	—
1365	C₂×D₅	—	2	1	no	—
1366	C₂×D₅	—	2	1	no	—
1367	C₂×D₅	—	2	1	no	—
1368	C₂×D₅	—	2	1	no	—
1369	C₂×D₅	—	2	1	no	—
1370	C₂×D₅	—	2	1	no	—
1371	C₂×D₅	—	4	4	no	—
1372	C₂×D₅	—	4	1	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	—	8	2	no	—
1382	C₂×D₅	—	8	4	no	—
1383	C₂×D₅	—	8	4	no	—
1384	C₂×D₅	—	8	4	no	—
1385	C₂×D₅	#546	1	2	yes	—
1386	C₂×D₅	#575	1	2	yes	—
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	C₂²×#41	1	1	yes	characteristic
1398	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1399	Dic₅	—	2	1	no	—
1400	Dic₅	—	2	2	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	#546	1	2	yes	—
1409	C₂⁴	—	5	1	no	—
1410	C₂⁴	—	5	1	no	—
1411	C₂⁴	—	10	1	no	—
1412	C₂⁴	—	10	1	no	—
1413	C₂⁴	—	10	1	no	—
1414	#41	—	2	2	no	—
1415	#41	—	2	2	no	—
1416	#41	—	4	1	no	—
1417	#41	—	4	1	no	—
1418	#41	—	5	4	no	—
1419	#41	—	10	2	no	—
1420	#41	—	10	2	no	—
1421	#41	—	10	2	no	—
1422	#41	—	10	2	no	—
1423	#41	—	10	2	no	—
1424	#41	—	10	2	no	—
1425	#41	—	10	2	no	—
1426	#41	—	20	1	no	—
1427	#41	—	20	1	no	—
1428	#41	—	20	4	no	—
1429	#41	—	20	4	no	—
1430	#41	—	20	4	no	—
1431	#41	—	20	4	no	—
1432	C₂×Q₈	—	5	1	no	—
1433	C₂×Q₈	—	10	1	no	—
1434	C₂×Q₈	—	10	1	no	—
1435	C₂×Q₈	—	10	2	no	—
1436	C₂×Q₈	—	10	2	no	—
1437	C₂×Q₈	—	20	1	no	—
1438	C₂×Q₈	—	20	1	no	—
1439	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1440	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	5	1	no	—
1446	C₂×D₄	—	5	1	no	—
1447	C₂×D₄	—	5	1	no	—
1448	C₂×D₄	—	5	1	no	—
1449	C₂×D₄	—	5	1	no	—
1450	C₂×D₄	—	5	1	no	—
1451	C₂×D₄	—	10	1	no	—
1452	C₂×D₄	—	10	1	no	—
1453	C₂×D₄	—	10	1	no	—
1454	C₂×D₄	—	10	1	no	—
1455	C₂×D₄	—	10	1	no	—
1456	C₂×D₄	—	10	1	no	—
1457	C₂×D₄	—	10	2	no	—
1458	C₂×D₄	—	10	2	no	—
1459	C₂×D₄	—	10	1	no	—
1460	C₂×D₄	—	10	1	no	—
1461	C₂×D₄	—	10	1	no	—
1462	C₂×D₄	—	10	1	no	—
1463	C₂×D₄	—	10	2	no	—
1464	C₂×D₄	—	10	2	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	1	no	—
1470	C₂×D₄	—	10	1	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	—	20	4	no	—
1476	C₂×D₄	—	20	1	no	—
1477	C₂×D₄	—	20	1	no	—
1478	C₂×D₄	—	20	2	no	—
1479	C₂×D₄	—	20	4	no	—
1480	C₂×D₄	—	20	4	no	—
1481	C₂×D₄	—	20	4	no	—
1482	C₂×D₄	—	40	2	no	—
1483	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1484	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1485	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
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	—	5	1	no	—
1501	C₂²×C₄	—	5	1	no	—
1502	C₂²×C₄	—	10	2	no	—
1503	C₂²×C₄	—	10	2	no	—
1504	C₂²×C₄	—	10	2	no	—
1505	C₂²×C₄	—	10	2	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	—	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	—	20	4	no	—
1524	C₂²×C₄	—	20	4	no	—
1525	C₂²×C₄	—	40	2	no	—
1526	C₂²×C₄	—	40	2	no	—
1527	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1529	SD₁₆	—	4	1	no	—
1530	SD₁₆	—	4	1	no	—
1531	SD₁₆	—	10	2	no	—
1532	SD₁₆	—	10	2	no	—
1533	SD₁₆	—	20	1	no	—
1534	SD₁₆	—	20	1	no	—
1535	D₈	—	2	2	no	—
1536	D₈	—	10	2	no	—
1537	D₈	—	20	1	no	—
1538	D₈	—	20	1	no	—
1539	D₈	—	20	1	no	—
1540	D₈	—	20	1	no	—
1541	M₁₆	—	4	1	no	—
1542	M₁₆	—	10	2	no	—
1543	M₁₆	—	10	2	no	—
1544	M₁₆	—	10	2	no	—
1545	M₁₆	—	10	2	no	—
1546	M₁₆	—	20	1	no	—
1547	M₁₆	—	20	1	no	—
1548	M₁₆	—	20	1	no	—
1549	C₂×C₈	—	4	1	no	—
1550	C₂×C₈	—	5	1	no	—
1551	C₂×C₈	—	5	1	no	—
1552	C₂×C₈	—	5	1	no	—
1553	C₂×C₈	—	5	1	no	—
1554	C₂×C₈	—	20	1	no	—
1555	C₂×C₈	—	20	1	no	—
1556	C₂×C₈	—	20	1	no	—
1557	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1558	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1559	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1560	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	5	1	no	—
1569	C₄⋊C₄	—	5	1	no	—
1570	C₄⋊C₄	—	5	1	no	—
1571	C₄⋊C₄	—	5	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	10	1	no	—
1576	C₄⋊C₄	—	10	1	no	—
1577	C₄⋊C₄	—	10	1	no	—
1578	C₄⋊C₄	—	10	1	no	—
1579	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1593	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1594	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1595	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	5	1	no	—
1604	C₂²⋊C₄	—	5	1	no	—
1605	C₂²⋊C₄	—	5	1	no	—
1606	C₂²⋊C₄	—	5	1	no	—
1607	C₂²⋊C₄	—	5	1	no	—
1608	C₂²⋊C₄	—	5	1	no	—
1609	C₂²⋊C₄	—	10	1	no	—
1610	C₂²⋊C₄	—	10	1	no	—
1611	C₂²⋊C₄	—	10	1	no	—
1612	C₂²⋊C₄	—	10	1	no	—
1613	C₂²⋊C₄	—	10	1	no	—
1614	C₂²⋊C₄	—	10	1	no	—
1615	C₂²⋊C₄	—	10	1	no	—
1616	C₂²⋊C₄	—	10	1	no	—
1617	C₂²⋊C₄	—	10	1	no	—
1618	C₂²⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1634	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1635	C₄²	—	2	1	no	—
1636	C₄²	—	5	1	no	—
1637	C₄²	—	5	1	no	—
1638	C₄²	—	5	1	no	—
1639	C₄²	—	10	1	no	—
1640	C₄²	—	10	1	no	—
1641	C₄²	—	10	1	no	—
1642	C₄²	—	10	1	no	—
1643	C₄²	—	10	1	no	—
1644	C₄²	—	10	1	no	—
1645	C₄²	C₂³×D₅	1	1	yes	characteristic
1646	C₂×C₅	—	4	1	no	—
1647	C₂×C₅	—	4	2	no	—
1648	C₂×C₅	—	4	1	no	—
1649	C₂×C₅	—	8	1	no	—
1650	C₂×C₅	C₂×#546	1	1	yes	characteristic
1651	C₂×C₅	C₂×#575	1	1	yes	characteristic
1652	C₂×C₅	#3585	1	1	yes	characteristic
1653	D₅	—	2	2	no	—
1654	D₅	—	2	2	no	—
1655	D₅	—	4	1	no	—
1656	D₅	—	8	1	no	—
1657	D₅	—	8	1	no	—
1658	D₅	—	8	1	no	—
1659	C₂³	—	2	1	no	—
1660	C₂³	—	2	1	no	—
1661	C₂³	—	5	1	no	—
1662	C₂³	—	5	1	no	—
1663	C₂³	—	5	1	no	—
1664	C₂³	—	10	2	no	—
1665	C₂³	—	10	2	no	—
1666	C₂³	—	10	2	no	—
1667	C₂³	—	10	1	no	—
1668	C₂³	—	10	1	no	—
1669	C₂³	—	10	1	no	—
1670	C₂³	—	20	1	no	—
1671	C₂³	—	20	1	no	—
1672	C₂³	—	20	1	no	—
1673	C₂³	—	20	2	no	—
1674	C₂³	—	20	2	no	—
1675	C₂³	—	20	2	no	—
1676	C₂³	—	20	2	no	—
1677	C₂³	—	20	2	no	—
1678	C₂³	—	20	2	no	—
1679	C₂³	—	20	2	no	—
1680	C₂³	—	40	1	no	—
1681	C₂³	—	40	1	no	—
1682	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1683	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	2	1	no	—
1687	Q₈	—	2	1	no	—
1688	Q₈	—	5	2	no	—
1689	Q₈	—	10	1	no	—
1690	Q₈	—	20	2	no	—
1691	Q₈	—	20	2	no	—
1692	D₄	—	2	1	no	—
1693	D₄	—	2	1	no	—
1694	D₄	—	2	1	no	—
1695	D₄	—	4	1	no	—
1696	D₄	—	4	2	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	8	1	no	—
1700	D₄	—	10	2	no	—
1701	D₄	—	10	2	no	—
1702	D₄	—	10	4	no	—
1703	D₄	—	10	1	no	—
1704	D₄	—	10	1	no	—
1705	D₄	—	10	1	no	—
1706	D₄	—	10	1	no	—
1707	D₄	—	10	1	no	—
1708	D₄	—	10	1	no	—
1709	D₄	—	20	2	no	—
1710	D₄	—	20	2	no	—
1711	D₄	—	20	2	no	—
1712	D₄	—	20	2	no	—
1713	D₄	—	20	2	no	—
1714	D₄	—	20	2	no	—
1715	D₄	—	20	2	no	—
1716	D₄	—	20	1	no	—
1717	D₄	—	20	2	no	—
1718	D₄	—	20	2	no	—
1719	D₄	—	20	2	no	—
1720	D₄	—	20	2	no	—
1721	D₄	—	20	2	no	—
1722	D₄	—	20	2	no	—
1723	D₄	—	40	1	no	—
1724	D₄	—	40	1	no	—
1725	D₄	—	40	1	no	—
1726	D₄	—	40	1	no	—
1727	D₄	—	40	1	no	—
1728	D₄	—	40	1	no	—
1729	D₄	D₅×#41	1	2	yes	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	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	—	4	2	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	5	1	no	—
1744	C₂×C₄	—	5	2	no	—
1745	C₂×C₄	—	5	2	no	—
1746	C₂×C₄	—	5	1	no	—
1747	C₂×C₄	—	5	1	no	—
1748	C₂×C₄	—	5	1	no	—
1749	C₂×C₄	—	5	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	8	1	no	—
1752	C₂×C₄	—	10	2	no	—
1753	C₂×C₄	—	10	2	no	—
1754	C₂×C₄	—	10	2	no	—
1755	C₂×C₄	—	10	2	no	—
1756	C₂×C₄	—	10	2	no	—
1757	C₂×C₄	—	10	2	no	—
1758	C₂×C₄	—	10	4	no	—
1759	C₂×C₄	—	10	1	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	—	10	1	no	—
1768	C₂×C₄	—	20	1	no	—
1769	C₂×C₄	—	20	1	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	—	40	1	no	—
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	#61164	1	1	yes	characteristic, complemented, Sylow
1800	C₂²	—	2	1	no	—
1801	C₂²	—	2	1	no	—
1802	C₂²	—	2	2	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	1	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	5	2	no	—
1813	C₂²	—	5	2	no	—
1814	C₂²	—	10	1	no	—
1815	C₂²	—	10	1	no	—
1816	C₂²	—	10	1	no	—
1817	C₂²	—	10	1	no	—
1818	C₂²	—	10	1	no	—
1819	C₂²	—	10	1	no	—
1820	C₂²	—	10	1	no	—
1821	C₂²	—	20	4	no	—
1822	C₂²	—	20	1	no	—
1823	C₂²	—	20	1	no	—
1824	C₂²	—	20	1	no	—
1825	C₂²	—	20	1	no	—
1826	C₂²	—	20	1	no	—
1827	C₂²	—	20	1	no	—
1828	C₂²	—	20	1	no	—
1829	C₂²	—	20	1	no	—
1830	C₂²	—	20	1	no	—
1831	C₂²	—	40	2	no	—
1832	C₂²	—	40	4	no	—
1833	C₂²	—	40	4	no	—
1834	C₂²	—	40	4	no	—
1835	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	5	2	no	—
1847	C₄	—	10	1	no	—
1848	C₄	—	10	1	no	—
1849	C₄	—	10	2	no	—
1850	C₄	—	10	1	no	—
1851	C₄	—	10	1	no	—
1852	C₄	—	20	1	no	—
1853	C₄	—	20	1	no	—
1854	C₄	—	20	1	no	—
1855	C₄	—	20	1	no	—
1856	C₄	C₂×D₅×#41	1	1	yes	characteristic
1857	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1858	C₂	—	4	1	no	—
1859	C₂	—	4	1	no	—
1860	C₂	—	4	2	no	—
1861	C₂	—	8	1	no	—
1862	C₂	—	10	2	no	—
1863	C₂	—	10	2	no	—
1864	C₂	—	20	1	no	—
1865	C₂	—	40	1	no	—
1866	C₂	—	40	1	no	—
1867	C₂	—	40	1	no	—
1868	C₂	D₅×#546	1	1	yes	characteristic
1869	C₂	D₅×#575	1	1	yes	characteristic
1870	C₂	#10619108	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×#3307	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3307	D₅
hypocenter	C₅	#61164
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3307

Complements

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

N	H ≅ G/N	type
1. D₅×#553	C₂	semidirect
2. #10618575	C₂	semidirect
3. C₅×#3307	C₂	semidirect
4. #10615350	C₂	semidirect
5. #10615243	C₂	semidirect
6. #10613482	C₂	semidirect
7. #10613471	C₂	semidirect
8. #10613256	C₂	semidirect
9. #10613247	C₂	semidirect
10. #10613165	C₂	semidirect
11. #10613158	C₂	semidirect
12. #10612922	C₂	semidirect
13. #10612898	C₂	semidirect
14. #10612559	C₂	semidirect
15. #10612536	C₂	semidirect
16. #10612403	C₂	semidirect
17. #10612388	C₂	semidirect
18. #10612184	C₂	semidirect
19. #10612159	C₂	semidirect
20. #10611845	C₂	semidirect
21. #10611833	C₂	semidirect
22. #10611815	C₂	semidirect
23. #10611815	C₂	semidirect
24. #10611613	C₂	semidirect
25. #10611596	C₂	semidirect
26. #10611241	C₂	semidirect
27. #10611214	C₂	semidirect
28. #10610633	C₂	semidirect
29. D₅×#417	C₂	semidirect
30. #10610577	C₂	semidirect
31. #10610561	C₂	semidirect
34. C₅×#553	C₂²	semidirect
35. C₅×#547	C₂²	semidirect
36. #66163	C₂²	semidirect
37. #66163	C₂²	semidirect
38. C₂×#4060	C₂²	semidirect
39. C₂×#4060	C₂²	semidirect
41. C₂×D₅×M₁₆	C₂²	semidirect
42. C₂²×#676	C₂²	semidirect
43. #66061	C₂²	semidirect
48. D₅×#125	C₂²	semidirect
55. #65967	C₂²	semidirect
56. #65967	C₂²	semidirect
59. #65952	C₂²	semidirect
60. #65948	C₂²	semidirect
63. D₅×#121	C₂²	semidirect
64. D₅×#121	C₂²	semidirect
67. #65899	C₂²	semidirect
69. #65887	C₂²	semidirect
70. D₄×D₂₀	C₂²	semidirect
73. C₄×D₄×D₅	C₂²	semidirect
76. #65864	C₂²	semidirect
77. D₅×#117	C₂²	semidirect
78. #65848	C₂²	semidirect
81. C₂×D₅×C₄⋊C₄	C₂²	semidirect
82. C₅×#491	C₂²	semidirect
83. C₅×#485	C₂²	semidirect
84. C₅×#483	C₂²	semidirect
85. C₅×#478	C₂²	semidirect
86. C₅×#468	C₂²	semidirect
87. C₅×#465	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
89. C₅×#449	C₂²	semidirect
90. C₅×#449	C₂²	semidirect
91. C₅×#442	C₂²	semidirect
92. C₅×#435	C₂²	semidirect
93. C₅×#417	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
95. #65527	C₂²	semidirect
96. #65527	C₂²	semidirect
97. #65522	C₂²	semidirect
98. #65521	C₂²	semidirect
99. #65463	C₂²	semidirect
100. #65460	C₂²	semidirect
101. #65459	C₂²	semidirect
102. #65459	C₂²	semidirect
103. #65454	C₂²	semidirect
104. #65454	C₂²	semidirect
105. #65445	C₂²	semidirect
106. #65445	C₂²	semidirect
107. D₈×Dic₅	C₂²	semidirect
108. #65424	C₂²	semidirect
109. #65422	C₂²	semidirect
110. #65417	C₂²	semidirect
111. #65404	C₂²	semidirect
112. #65402	C₂²	semidirect
113. C₈×C₂²⋊D₅	C₂²	semidirect
114. #65372	C₂²	semidirect
115. #65371	C₂²	semidirect
116. #65356	C₂²	semidirect
117. #65352	C₂²	semidirect
118. #65338	C₂²	semidirect
119. #65337	C₂²	semidirect
120. #65334	C₂²	semidirect
121. #65332	C₂²	semidirect
122. #65328	C₂²	semidirect
123. #65327	C₂²	semidirect
124. #65326	C₂²	semidirect
125. #65326	C₂²	semidirect
126. #65307	C₂²	semidirect
127. #65304	C₂²	semidirect
128. #65303	C₂²	semidirect
129. #65300	C₂²	semidirect
130. #65298	C₂²	semidirect
131. #65292	C₂²	semidirect
132. #65291	C₂²	semidirect
133. #65256	C₂²	semidirect
134. #65255	C₂²	semidirect
135. #65174	C₂²	semidirect
136. #65172	C₂²	semidirect
137. #65170	C₂²	semidirect
138. #65166	C₂²	semidirect
139. #65155	C₂²	semidirect
140. #65154	C₂²	semidirect
141. #65152	C₂²	semidirect
142. #65152	C₂²	semidirect
143. #65150	C₂²	semidirect
144. #65150	C₂²	semidirect
145. #65146	C₂²	semidirect
146. #65141	C₂²	semidirect
147. #65132	C₂²	semidirect
148. #65126	C₂²	semidirect
149. #65125	C₂²	semidirect
150. #65118	C₂²	semidirect
151. #65108	C₂²	semidirect
152. #65108	C₂²	semidirect
153. #65104	C₂²	semidirect
154. #65103	C₂²	semidirect
155. #65101	C₂²	semidirect
156. #65098	C₂²	semidirect
157. #65098	C₂²	semidirect
158. #65096	C₂²	semidirect
159. #65095	C₂²	semidirect
160. #65095	C₂²	semidirect
161. #65092	C₂²	semidirect
162. #65092	C₂²	semidirect
163. #65092	C₂²	semidirect
164. #65092	C₂²	semidirect
165. #65092	C₂²	semidirect
166. #65092	C₂²	semidirect
167. #65091	C₂²	semidirect
168. #65091	C₂²	semidirect
169. D₅×#103	C₂²	semidirect
170. D₅×#103	C₂²	semidirect
171. #65089	C₂²	semidirect
172. #65089	C₂²	semidirect
173. #65089	C₂²	semidirect
174. #65089	C₂²	semidirect
175. #65071	C₂²	semidirect
176. #65064	C₂²	semidirect
177. #65062	C₂²	semidirect
178. #65062	C₂²	semidirect
182. #65059	C₂²	semidirect
183. #65059	C₂²	semidirect
184. #65059	C₂²	semidirect
185. D₅×#102	C₂²	semidirect
186. D₅×#102	C₂²	semidirect
187. #65055	C₂²	semidirect
188. #65052	C₂²	semidirect
189. #65047	C₂²	semidirect
190. #65045	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65025	C₂²	semidirect
193. #65023	C₂²	semidirect
194. #65023	C₂²	semidirect
195. #65018	C₂²	semidirect
196. #65015	C₂²	semidirect
197. #65015	C₂²	semidirect
198. #65014	C₂²	semidirect
199. #65002	C₂²	semidirect
200. #64999	C₂²	semidirect
201. #64996	C₂²	semidirect
202. #64995	C₂²	semidirect
501. #3307	D₅	semidirect
774. #553	C₂×D₅	semidirect
780. #547	C₂×D₅	semidirect
807. #491	C₂×D₅	semidirect
817. #485	C₂×D₅	semidirect
821. #483	C₂×D₅	semidirect
837. #478	C₂×D₅	semidirect
845. #468	C₂×D₅	semidirect
853. #465	C₂×D₅	semidirect
859. #461	C₂×D₅	semidirect
868. #449	C₂×D₅	semidirect
869. #449	C₂×D₅	semidirect
879. #442	C₂×D₅	semidirect
891. #435	C₂×D₅	semidirect
915. #417	C₂×D₅	semidirect
919. #416	C₂×D₅	semidirect
1799. C₅	#61164	semidirect

Maximal subgroups

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

subgroup	index
D₅×#553	2
#10618575	2
C₅×#3307	2
#10615350	2
#10615243	2
#10613482	2
#10613471	2
#10613256	2
#10613247	2
#10613165	2
#10613158	2
#10612922	2
#10612898	2
#10612559	2
#10612536	2
#10612403	2
#10612388	2
#10612184	2
#10612159	2
#10611845	2
#10611833	2
#10611815	2
#10611613	2
#10611596	2
#10611241	2
#10611214	2
#10610633	2
D₅×#417	2
#10610577	2
#10610561	2
#61164	5