Subgroups — #12984966

Order 1280.

2056 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618601	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618591	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3283	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615656	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615650	C₂	1	1	yes	maximal, characteristic, complemented
6	#10615643	C₂	1	1	yes	maximal, characteristic, complemented
7	#10615642	C₂	1	1	yes	maximal, characteristic, complemented
8	#10615253	C₂	1	1	yes	maximal, characteristic, complemented
9	#10615244	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613536	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613535	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612508	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612507	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612498	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612495	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612183	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612175	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612168	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612144	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611999	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611998	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611991	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611981	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611968	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611967	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611960	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611959	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611342	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611325	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611171	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611159	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#4149	C₂²	1	1	yes	characteristic
33	C₂×D₅×#41	C₂²	1	1	yes	characteristic
34	C₂×C₅×#135	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₅×#135	C₂²	1	1	yes	characteristic, complemented
36	C₅×#547	C₂²	1	1	yes	characteristic
37	C₅×#547	C₂²	1	1	yes	characteristic, complemented
38	#66167	C₂²	1	1	yes	characteristic
39	#66165	C₂²	1	1	yes	characteristic, complemented
40	#66165	C₂²	1	1	yes	characteristic, complemented
41	#66163	C₂²	1	1	yes	characteristic
42	#66162	C₂²	1	1	yes	characteristic, complemented
43	#66158	C₂²	1	1	yes	characteristic
44	C₂×#4096	C₂²	1	1	yes	characteristic, complemented
45	C₂×#4095	C₂²	1	1	yes	characteristic, complemented
46	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
47	C₂×#4064	C₂²	1	1	yes	characteristic, complemented
48	C₂×#4061	C₂²	1	1	yes	characteristic, complemented
49	C₂×D₅×SD₁₆	C₂²	1	1	yes	characteristic, complemented
50	#66065	C₂²	1	1	yes	characteristic, complemented
51	#66061	C₂²	1	1	yes	characteristic, complemented
52	#66060	C₂²	1	1	yes	characteristic
53	#66058	C₂²	1	1	yes	characteristic
54	#65996	—	2	1	no	—
55	#65995	—	2	1	no	—
56	#65991	—	2	1	no	—
57	#65989	—	2	1	no	—
58	#65988	—	2	1	no	—
59	#65987	—	2	1	no	—
60	D₅×#123	—	2	1	no	—
61	#65985	—	2	1	no	—
62	#65975	C₂²	1	1	yes	characteristic, complemented
63	#65969	C₂²	1	1	yes	characteristic, complemented
64	#65965	C₂²	1	1	yes	characteristic
65	#65964	C₂²	1	1	yes	characteristic
66	#65962	C₂²	1	1	yes	characteristic
67	#65962	C₂²	1	1	yes	characteristic
68	#65961	C₂²	1	1	yes	characteristic
69	D₅×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
70	#65955	—	2	1	no	—
71	#65947	—	2	1	no	—
72	#65944	—	2	1	no	—
73	#65939	—	2	1	no	—
74	#65895	C₂²	1	1	yes	characteristic, complemented
75	#65892	C₂²	1	1	yes	characteristic, complemented
76	#65888	C₂²	1	1	yes	characteristic
77	#65884	C₂²	1	1	yes	characteristic
78	#65881	C₂²	1	1	yes	characteristic
79	#65879	C₂²	1	1	yes	characteristic
80	#65875	C₂²	1	1	yes	characteristic, complemented
81	#65849	—	2	1	no	—
82	#65845	—	2	1	no	—
83	#65841	—	2	1	no	—
84	C₂×#4040	—	2	1	no	—
85	C₅×#494	C₂²	1	1	yes	characteristic, complemented
86	C₅×#467	C₂²	1	1	yes	characteristic, complemented
87	C₅×#467	C₂²	1	1	yes	characteristic, complemented
88	C₅×#461	C₂²	1	1	yes	characteristic, complemented
89	C₅×#461	C₂²	1	1	yes	characteristic, complemented
90	C₅×#452	C₂²	1	1	yes	characteristic, complemented
91	C₅×#452	C₂²	1	1	yes	characteristic, complemented
92	C₅×#452	C₂²	1	1	yes	characteristic, complemented
93	C₅×#452	C₂²	1	1	yes	characteristic, complemented
94	C₄×C₅×D₈	C₂²	1	1	yes	characteristic, complemented
95	C₅×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
96	#65528	C₂²	1	1	yes	characteristic, complemented
97	#65528	C₂²	1	1	yes	characteristic, complemented
98	#65528	C₂²	1	1	yes	characteristic, complemented
99	#65527	C₂²	1	1	yes	characteristic, complemented
100	#65522	C₂²	1	1	yes	characteristic, complemented
101	#65521	C₂²	1	1	yes	characteristic, complemented
102	#65478	C₂²	1	1	yes	characteristic, complemented
103	#65478	C₂²	1	1	yes	characteristic, complemented
104	#65476	C₂²	1	1	yes	characteristic
105	#65476	C₂²	1	1	yes	characteristic
106	#65476	C₂²	1	1	yes	characteristic, complemented
107	#65476	C₂²	1	1	yes	characteristic, complemented
108	#65475	C₂²	1	1	yes	characteristic, complemented
109	#65475	C₂²	1	1	yes	characteristic, complemented
110	#65475	C₂²	1	1	yes	characteristic, complemented
111	#65475	C₂²	1	1	yes	characteristic, complemented
112	#65474	C₂²	1	1	yes	characteristic, complemented
113	#65474	C₂²	1	1	yes	characteristic, complemented
114	#65471	C₂²	1	1	yes	characteristic, complemented
115	#65471	C₂²	1	1	yes	characteristic, complemented
116	#65463	C₂²	1	1	yes	characteristic, complemented
117	#65462	C₂²	1	1	yes	characteristic, complemented
118	#65461	C₂²	1	1	yes	characteristic
119	#65461	C₂²	1	1	yes	characteristic, complemented
120	#65461	C₂²	1	1	yes	characteristic, complemented
121	#65460	C₂²	1	1	yes	characteristic, complemented
122	#65459	C₂²	1	1	yes	characteristic, complemented
123	#65458	C₂²	1	1	yes	characteristic
124	#65458	C₂²	1	1	yes	characteristic
125	#65458	C₂²	1	1	yes	characteristic, complemented
126	#65457	C₂²	1	1	yes	characteristic, complemented
127	#65456	C₂²	1	1	yes	characteristic, complemented
128	#65453	C₂²	1	1	yes	characteristic, complemented
129	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic, complemented
130	#65447	C₂²	1	1	yes	characteristic, complemented
131	#65445	C₂²	1	1	yes	characteristic
132	#65445	C₂²	1	1	yes	characteristic, complemented
133	#65442	C₂²	1	1	yes	characteristic, complemented
134	#65405	C₂²	1	1	yes	characteristic, complemented
135	#65403	C₂²	1	1	yes	characteristic, complemented
136	#65402	C₂²	1	1	yes	characteristic, complemented
137	C₂×#3953	C₂²	1	1	yes	characteristic, complemented
138	#65400	C₂²	1	1	yes	characteristic, complemented
139	#65399	C₂²	1	1	yes	characteristic
140	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
141	C₂×#3952	C₂²	1	1	yes	characteristic, complemented
142	#65379	C₂²	1	1	yes	characteristic, complemented
143	#65375	C₂²	1	1	yes	characteristic, complemented
144	#65372	C₂²	1	1	yes	characteristic, complemented
145	#65371	C₂²	1	1	yes	characteristic, complemented
146	#65341	C₂²	1	1	yes	characteristic, complemented
147	#65341	C₂²	1	1	yes	characteristic, complemented
148	#65340	C₂²	1	1	yes	characteristic, complemented
149	#65337	C₂²	1	1	yes	characteristic, complemented
150	#65336	C₂²	1	1	yes	characteristic, complemented
151	#65335	C₂²	1	1	yes	characteristic, complemented
152	#65334	C₂²	1	1	yes	characteristic, complemented
153	#65333	C₂²	1	1	yes	characteristic, complemented
154	#65307	C₂²	1	1	yes	characteristic, complemented
155	#65305	C₂²	1	1	yes	characteristic, complemented
156	#65303	C₂²	1	1	yes	characteristic, complemented
157	#65300	C₂²	1	1	yes	characteristic, complemented
158	#65298	C₂²	1	1	yes	characteristic, complemented
159	#65179	C₂²	1	1	yes	characteristic, complemented
160	#65177	C₂²	1	1	yes	characteristic, complemented
161	#65177	C₂²	1	1	yes	characteristic, complemented
162	#65171	C₂²	1	1	yes	characteristic, complemented
163	#65136	C₂²	1	1	yes	characteristic, complemented
164	#65134	C₂²	1	1	yes	characteristic, complemented
165	#65129	C₂²	1	1	yes	characteristic, complemented
166	#65125	C₂²	1	1	yes	characteristic, complemented
167	#65106	C₂²	1	1	yes	characteristic, complemented
168	#65104	C₂²	1	1	yes	characteristic, complemented
169	#65103	C₂²	1	1	yes	characteristic, complemented
170	#65103	C₂²	1	1	yes	characteristic, complemented
171	#65102	C₂²	1	1	yes	characteristic, complemented
172	#65101	C₂²	1	1	yes	characteristic, complemented
173	#65099	C₂²	1	1	yes	characteristic
174	#65097	C₂²	1	1	yes	characteristic, complemented
175	#65097	C₂²	1	1	yes	characteristic, complemented
176	#65095	C₂²	1	1	yes	characteristic, complemented
177	#65094	C₂²	1	1	yes	characteristic, complemented
178	#65093	C₂²	1	1	yes	characteristic, complemented
179	#65092	C₂²	1	1	yes	characteristic, complemented
180	#65084	C₂²	1	1	yes	characteristic, complemented
181	#65081	C₂²	1	1	yes	characteristic, complemented
182	#65077	C₂²	1	1	yes	characteristic, complemented
183	#65076	C₂²	1	1	yes	characteristic, complemented
184	#65071	C₂²	1	1	yes	characteristic, complemented
185	#65069	C₂²	1	1	yes	characteristic, complemented
186	#65068	C₂²	1	1	yes	characteristic, complemented
187	#65065	C₂²	1	1	yes	characteristic
188	#65060	C₂²	1	1	yes	characteristic, complemented
189	#65059	C₂²	1	1	yes	characteristic, complemented
190	#65050	C₂²	1	1	yes	characteristic, complemented
191	#65026	C₂²	1	1	yes	characteristic, complemented
192	#65022	C₂²	1	1	yes	characteristic, complemented
193	#65020	C₂²	1	1	yes	characteristic, complemented
194	#65019	C₂²	1	1	yes	characteristic, complemented
195	#65018	C₂²	1	1	yes	characteristic, complemented
196	#65016	C₂²	1	1	yes	characteristic
197	#65015	C₂²	1	1	yes	characteristic, complemented
198	#65010	C₂²	1	1	yes	characteristic, complemented
199	#64986	C₂²	1	1	yes	characteristic, complemented
200	C₄×#677	C₂²	1	1	yes	characteristic, complemented
201	#64979	C₂²	1	1	yes	characteristic, complemented
202	#64977	C₂²	1	1	yes	characteristic, complemented
203	#61613	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂×C₅×#41	C₂³	1	1	yes	characteristic
206	C₂×C₅×#41	C₂³	1	1	yes	characteristic
207	C₂×C₅×#41	C₂³	1	1	yes	characteristic
208	#4149	—	4	2	no	—
209	#4149	—	4	2	no	—
210	D₅×#41	—	4	2	no	—
211	D₅×#41	—	4	2	no	—
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×#711	—	2	1	no	—
219	C₂×#711	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₅	—	2	1	no	—
221	C₂×D₄×D₅	—	2	1	no	—
222	C₂×D₄×D₅	—	2	1	no	—
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×D₂₀	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₅	—	2	1	no	—
232	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
233	C₅×#135	—	4	2	no	—
234	C₅×#135	—	4	2	no	—
235	C₂×C₅×Q₁₆	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×SD₁₆	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×D₈	C₂³	1	1	yes	characteristic
244	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
245	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
246	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
247	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
248	C₅×#123	—	2	1	no	—
249	C₅×#123	—	2	1	no	—
250	C₅×#123	—	2	1	no	—
251	C₅×#123	—	2	1	no	—
252	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
253	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
254	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₅×#121	—	2	1	no	—
257	C₅×#121	—	2	1	no	—
258	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
259	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
260	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
261	C₂×C₅×C₄⋊C₄	—	2	1	no	—
262	C₂×C₅×C₄⋊C₄	—	2	1	no	—
263	#4096	—	4	2	no	—
264	#4095	—	4	2	no	—
265	#4093	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	Q₈×Dic₅	C₂³	1	1	yes	characteristic
273	Q₈×Dic₅	C₂³	1	1	yes	characteristic
274	#4090	C₂³	1	1	yes	characteristic
275	C₂×#689	C₂³	1	1	yes	characteristic
276	C₂×#689	C₂³	1	1	yes	characteristic
277	C₂×#689	C₂³	1	1	yes	characteristic
278	C₂×#689	C₂³	1	1	yes	characteristic
279	C₂×#688	C₂³	1	1	yes	characteristic
280	C₂×#688	C₂³	1	1	yes	characteristic
281	C₂×#688	C₂³	1	1	yes	characteristic
282	C₂×#688	C₂³	1	1	yes	characteristic
283	#4085	—	2	1	no	—
284	#4085	—	2	1	no	—
285	#4085	—	2	1	no	—
286	#4085	—	2	1	no	—
287	#4085	D₄	1	1	yes	characteristic
288	#4084	—	2	1	no	—
289	#4084	—	2	1	no	—
290	#4084	C₂³	1	1	yes	characteristic
291	#4084	C₂³	1	1	yes	characteristic
292	#4084	C₂³	1	1	yes	characteristic
293	#4083	—	2	1	no	—
294	#4083	—	2	1	no	—
295	#4083	—	2	1	no	—
296	#4083	D₄	1	1	yes	characteristic
297	#4082	—	2	1	no	—
298	#4082	—	2	1	no	—
299	#4082	C₂³	1	1	yes	characteristic
300	#4081	—	2	1	no	—
301	#4081	—	2	1	no	—
302	#4081	—	2	1	no	—
303	D₄×Dic₅	C₂³	1	1	yes	characteristic
304	C₂×#687	C₂³	1	1	yes	characteristic
305	C₂×#687	C₂³	1	1	yes	characteristic
306	C₂×#686	C₂³	1	1	yes	characteristic
307	C₂×#686	C₂³	1	1	yes	characteristic
308	#4076	—	2	1	no	—
309	#4076	—	2	1	no	—
310	#4076	C₂³	1	1	yes	characteristic
311	#4075	—	2	1	no	—
312	#4075	—	2	1	no	—
313	#4075	—	2	1	no	—
314	#4075	—	2	1	no	—
315	C₄×C₂²⋊D₅	—	2	1	no	—
316	C₄×C₂²⋊D₅	—	2	1	no	—
317	C₄×C₂²⋊D₅	—	2	1	no	—
318	C₄×C₂²⋊D₅	—	2	1	no	—
319	C₄×C₂²⋊D₅	—	2	1	no	—
320	C₄×C₂²⋊D₅	—	2	1	no	—
321	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
322	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
323	C₂×#685	—	2	1	no	—
324	C₂×#685	—	2	1	no	—
325	C₂×#685	—	2	1	no	—
326	#4072	C₂³	1	1	yes	characteristic
327	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
328	#4070	—	2	1	no	—
329	#4070	—	2	1	no	—
330	#4070	—	2	1	no	—
331	#4070	—	2	1	no	—
332	#4070	C₂³	1	1	yes	characteristic
333	#4070	C₂³	1	1	yes	characteristic
334	#4070	C₂³	1	1	yes	characteristic
335	C₂×#683	—	2	1	no	—
336	C₂×#681	C₂³	1	1	yes	characteristic
337	C₂²×#168	C₂³	1	1	yes	characteristic
338	#4064	—	4	2	no	—
339	#4064	—	4	2	no	—
340	#4061	—	4	2	no	—
341	D₅×SD₁₆	—	4	2	no	—
342	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
343	C₂×#677	C₂³	1	1	yes	characteristic
344	C₂×#677	C₂³	1	1	yes	characteristic
345	C₂×#676	C₂³	1	1	yes	characteristic
346	C₂×#676	C₂³	1	1	yes	characteristic
347	C₂×#676	C₂³	1	1	yes	characteristic
348	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
349	#4044	—	2	1	no	—
350	#4044	—	2	1	no	—
351	#4044	—	2	1	no	—
352	#4043	—	2	1	no	—
353	#4043	C₂³	1	1	yes	characteristic
354	#4043	C₂³	1	1	yes	characteristic
355	#4042	—	2	1	no	—
356	#4042	—	2	1	no	—
357	#4042	—	2	1	no	—
358	#4042	—	2	1	no	—
359	#4042	—	2	1	no	—
360	#4042	D₄	1	1	yes	characteristic
361	#4041	—	2	1	no	—
362	#4041	—	2	1	no	—
363	#4041	C₂³	1	1	yes	characteristic
364	#4040	—	2	1	no	—
365	#4040	—	2	1	no	—
366	#4040	—	2	1	no	—
367	#4040	—	2	1	no	—
368	#4040	—	2	1	no	—
369	#4040	—	2	1	no	—
370	#4040	—	2	1	no	—
371	#4040	—	2	1	no	—
372	#4040	—	2	1	no	—
373	#4040	—	2	1	no	—
374	#4040	D₄	1	1	yes	characteristic
375	#4039	—	2	1	no	—
376	#4039	—	2	1	no	—
377	#4039	C₂³	1	1	yes	characteristic
378	#4038	C₂³	1	1	yes	characteristic
379	#4038	C₂³	1	1	yes	characteristic
380	D₅×C₄⋊C₄	—	2	1	no	—
381	D₅×C₄⋊C₄	—	2	1	no	—
382	D₅×C₄⋊C₄	—	2	1	no	—
383	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
384	#4035	—	2	1	no	—
385	#4035	—	2	1	no	—
386	#4035	—	2	1	no	—
387	#4035	—	2	1	no	—
388	#4034	—	2	1	no	—
389	#4034	—	2	1	no	—
390	#4034	—	2	1	no	—
391	#4034	C₂³	1	1	yes	characteristic
392	#4033	—	2	1	no	—
393	#4032	—	2	1	no	—
394	#4031	—	2	1	no	—
395	#4031	—	2	1	no	—
396	#4031	—	2	1	no	—
397	#4031	—	2	1	no	—
398	#4030	—	2	1	no	—
399	#4030	—	2	1	no	—
400	#4030	—	2	1	no	—
401	#4030	D₄	1	1	yes	characteristic
402	#4029	—	2	1	no	—
403	#4029	—	2	1	no	—
404	#4029	—	2	1	no	—
405	#4029	D₄	1	1	yes	characteristic
406	#4028	—	2	1	no	—
407	#4028	—	2	1	no	—
408	#4028	—	2	1	no	—
409	#4028	D₄	1	1	yes	characteristic
410	#4027	—	2	1	no	—
411	#4027	—	2	1	no	—
412	#4027	—	2	1	no	—
413	D₅×C₂²⋊C₄	—	2	1	no	—
414	D₅×C₂²⋊C₄	—	2	1	no	—
415	D₅×C₂²⋊C₄	—	2	1	no	—
416	D₅×C₂²⋊C₄	—	2	1	no	—
417	#4025	—	2	1	no	—
418	#4025	—	2	1	no	—
419	#4025	—	2	1	no	—
420	#4025	—	2	1	no	—
421	#4024	—	2	1	no	—
422	#4024	—	2	1	no	—
423	#4024	D₄	1	1	yes	characteristic
424	#4023	—	2	1	no	—
425	#4021	C₂³	1	1	yes	characteristic
426	C₄×D₂₀	C₂³	1	1	yes	characteristic
427	C₄×D₂₀	C₂³	1	1	yes	characteristic
428	#4018	C₂³	1	1	yes	characteristic
429	#4016	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₅×#107	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×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
441	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3967	C₂³	1	1	yes	characteristic
444	#3967	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	#3964	C₂³	1	1	yes	characteristic
451	#3964	C₂³	1	1	yes	characteristic
452	#3964	C₂³	1	1	yes	characteristic
453	#3964	C₂³	1	1	yes	characteristic
454	C₂²⋊#168	C₂³	1	1	yes	characteristic
455	C₂²⋊#168	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic
457	#3953	C₂³	1	1	yes	characteristic
458	#3953	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	#3952	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	#3950	C₂³	1	1	yes	characteristic
471	#3949	C₂³	1	1	yes	characteristic
472	#3949	C₂³	1	1	yes	characteristic
473	#3948	C₂³	1	1	yes	characteristic
474	#3948	C₂³	1	1	yes	characteristic
475	#3948	C₂³	1	1	yes	characteristic
476	#3948	C₂³	1	1	yes	characteristic
477	#3947	C₂³	1	1	yes	characteristic
478	#3946	C₂³	1	1	yes	characteristic
479	#3946	C₂³	1	1	yes	characteristic
480	C₈×Dic₅	C₂³	1	1	yes	characteristic
481	#3942	C₂³	1	1	yes	characteristic
482	#3942	C₂³	1	1	yes	characteristic
483	#3941	C₂³	1	1	yes	characteristic
484	#3941	C₂³	1	1	yes	characteristic
485	#3940	C₂³	1	1	yes	characteristic
486	#3940	C₂³	1	1	yes	characteristic
487	#3939	C₂³	1	1	yes	characteristic
488	#3939	C₂³	1	1	yes	characteristic
489	C₄⋊#168	C₂³	1	1	yes	characteristic
490	#3935	C₂³	1	1	yes	characteristic
491	#3541	—	5	1	no	—
492	#3485	—	5	1	no	—
493	#3331	—	5	1	no	—
494	#3322	—	5	1	no	—
495	#3315	—	5	1	no	—
496	#3314	—	5	1	no	—
497	#3311	—	5	1	no	—
498	#3307	—	5	1	no	—
499	#3302	—	5	1	no	—
500	#3296	—	5	1	no	—
501	#3283	D₅	1	1	yes	characteristic, complemented
502	#3282	—	5	1	no	—
503	#3276	—	5	1	no	—
504	#3275	—	5	1	no	—
505	#3269	—	5	1	no	—
506	#3269	—	5	1	no	—
507	#3267	—	5	1	no	—
508	#3266	—	5	1	no	—
509	#3225	—	5	1	no	—
510	#3223	—	5	1	no	—
511	#3202	—	5	1	no	—
512	#3201	—	5	1	no	—
513	#3197	—	5	1	no	—
514	#3190	—	5	1	no	—
515	#3123	—	5	1	no	—
516	#3118	—	5	1	no	—
517	#3012	—	5	1	no	—
518	#3009	—	5	1	no	—
519	#3007	—	5	1	no	—
520	#3002	—	5	1	no	—
521	#2976	—	5	1	no	—
522	C₂³×D₅	—	2	1	no	—
523	C₂³×D₅	—	2	1	no	—
524	C₂³×D₅	—	2	1	no	—
525	C₂³×D₅	C₂×D₄	1	1	yes	characteristic
526	C₅×#41	—	2	2	no	—
527	C₅×#41	—	2	2	no	—
528	C₅×#41	—	4	1	no	—
529	C₅×#41	—	4	1	no	—
530	C₅×#41	—	4	1	no	—
531	C₅×#41	—	4	1	no	—
532	C₅×#41	—	4	1	no	—
533	C₅×#41	—	4	1	no	—
534	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
538	C₂×C₅×D₄	—	2	1	no	—
539	C₂×C₅×D₄	—	2	1	no	—
540	C₂×C₅×D₄	—	2	1	no	—
541	C₂×C₅×D₄	—	2	1	no	—
542	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
543	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
544	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₅	—	2	1	no	—
546	C₂²×C₄×C₅	—	2	1	no	—
547	C₂²×C₄×C₅	—	2	1	no	—
548	C₂²×C₄×C₅	—	2	1	no	—
549	C₂²×C₄×C₅	—	2	1	no	—
550	C₂²×C₄×C₅	—	2	1	no	—
551	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
557	C₂×C₂²⋊D₅	—	2	1	no	—
558	C₂×C₂²⋊D₅	—	2	1	no	—
559	C₂×C₂²⋊D₅	—	2	1	no	—
560	C₂×C₂²⋊D₅	—	2	1	no	—
561	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
565	C₂²×Dic₅	—	2	1	no	—
566	C₂²×Dic₅	—	2	1	no	—
567	C₂²×Dic₅	—	2	1	no	—
568	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
569	#713	—	2	2	no	—
570	#713	—	2	2	no	—
571	#713	—	4	1	no	—
572	#713	—	4	1	no	—
573	#713	—	4	1	no	—
574	#713	—	4	1	no	—
575	Q₈×D₅	—	4	1	no	—
576	Q₈×D₅	—	4	1	no	—
577	Q₈×D₅	—	4	1	no	—
578	Q₈×D₅	—	4	1	no	—
579	Q₈×D₅	—	4	1	no	—
580	Q₈×D₅	—	4	1	no	—
581	#711	—	2	2	no	—
582	#711	—	4	1	no	—
583	#711	—	4	4	no	—
584	D₄×D₅	—	2	2	no	—
585	D₄×D₅	—	2	2	no	—
586	D₄×D₅	—	2	2	no	—
587	D₄×D₅	—	4	1	no	—
588	D₄×D₅	—	4	4	no	—
589	D₄×D₅	—	4	4	no	—
590	D₄×D₅	—	4	4	no	—
591	#709	—	2	2	no	—
592	#709	—	4	1	no	—
593	#709	—	4	1	no	—
594	#709	—	4	1	no	—
595	#709	—	4	4	no	—
596	#709	—	4	4	no	—
597	C₂×D₂₀	—	2	2	no	—
598	C₂×D₂₀	—	2	1	no	—
599	C₂×D₂₀	—	2	1	no	—
600	C₂×D₂₀	—	2	1	no	—
601	C₂×D₂₀	—	2	1	no	—
602	C₂×D₂₀	—	2	1	no	—
603	C₂×D₂₀	—	4	1	no	—
604	C₂×D₂₀	—	4	4	no	—
605	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
606	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
607	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
608	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	—	4	1	no	—
620	C₂×C₄×D₅	—	4	1	no	—
621	C₂×C₄×D₅	—	4	4	no	—
622	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
623	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
624	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
625	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
626	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
627	C₂×Dic₁₀	—	2	1	no	—
628	C₂×Dic₁₀	—	2	1	no	—
629	C₂×Dic₁₀	—	2	1	no	—
630	C₂×Dic₁₀	—	2	1	no	—
631	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
632	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
633	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
634	C₅×Q₁₆	—	4	1	no	—
635	C₅×Q₁₆	—	4	1	no	—
636	C₅×Q₁₆	—	4	1	no	—
637	C₅×Q₁₆	—	4	1	no	—
638	C₅×SD₁₆	—	2	2	no	—
639	C₅×SD₁₆	—	2	2	no	—
640	C₅×SD₁₆	—	4	1	no	—
641	C₅×SD₁₆	—	4	1	no	—
642	C₅×D₈	—	2	2	no	—
643	C₂×C₅×C₈	—	4	1	no	—
644	C₂×C₅×C₈	—	4	1	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
656	C₅×C₄⋊C₄	—	2	1	no	—
657	C₅×C₄⋊C₄	C₂×D₄	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	C₂×D₄	1	1	yes	characteristic
667	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
668	C₄²×C₅	C₂⁴	1	1	yes	characteristic
669	C₂²⋊Dic₅	—	2	1	no	—
670	C₂²⋊Dic₅	—	2	1	no	—
671	C₂²⋊Dic₅	—	2	1	no	—
672	C₂²⋊Dic₅	—	2	1	no	—
673	C₂²⋊Dic₅	—	2	1	no	—
674	C₂²⋊Dic₅	—	2	1	no	—
675	C₂²⋊Dic₅	—	2	1	no	—
676	C₂²⋊Dic₅	—	2	1	no	—
677	C₂²⋊Dic₅	—	2	1	no	—
678	C₂²⋊Dic₅	—	2	1	no	—
679	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
680	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
681	#689	—	4	1	no	—
682	#689	—	4	1	no	—
683	#689	—	4	1	no	—
684	#689	—	4	1	no	—
685	#688	—	2	2	no	—
686	#688	—	2	2	no	—
687	#688	—	4	1	no	—
688	#688	—	4	1	no	—
689	#687	—	2	2	no	—
690	#687	—	4	1	no	—
691	#686	—	2	2	no	—
692	#686	—	4	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	—	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	C₂×D₄	1	1	yes	characteristic
712	#685	C₂×D₄	1	1	yes	characteristic
713	#685	C₂×D₄	1	1	yes	characteristic
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	C₄⋊Dic₅	—	2	1	no	—
718	C₄⋊Dic₅	—	2	1	no	—
719	C₄⋊Dic₅	—	2	1	no	—
720	C₄⋊Dic₅	—	2	1	no	—
721	C₄⋊Dic₅	—	2	1	no	—
722	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
723	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
724	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
725	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
726	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
727	#683	—	2	1	no	—
728	#683	—	2	1	no	—
729	#683	—	2	1	no	—
730	#683	—	2	1	no	—
731	#683	—	2	1	no	—
732	#683	—	2	1	no	—
733	#683	—	2	1	no	—
734	#683	—	2	1	no	—
735	#683	—	2	1	no	—
736	#683	—	2	1	no	—
737	#683	—	2	1	no	—
738	#683	—	2	1	no	—
739	#683	—	2	1	no	—
740	#683	—	2	1	no	—
741	#683	—	2	1	no	—
742	#683	—	2	1	no	—
743	#683	C₂×D₄	1	1	yes	characteristic
744	#683	C₂×D₄	1	1	yes	characteristic
745	#683	C₂×D₄	1	1	yes	characteristic
746	#683	C₂×D₄	1	1	yes	characteristic
747	C₄×Dic₅	—	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	C₂⁴	1	1	yes	characteristic
754	#681	—	4	1	no	—
755	C₂×#168	—	4	1	no	—
756	C₂×#168	C₂⁴	1	1	yes	characteristic
757	C₂×#168	C₂⁴	1	1	yes	characteristic
758	C₂×#168	C₂⁴	1	1	yes	characteristic
759	C₂×#168	C₂⁴	1	1	yes	characteristic
760	Dic₂₀	—	4	1	no	—
761	#677	—	2	2	no	—
762	#677	—	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	C₂×H(5,𝔽₂)	—	5	1	no	—
768	C₂²×#41	—	5	1	no	—
769	C₂×#137	—	5	1	no	—
770	C₂×#137	—	5	1	no	—
771	C₂×#137	—	5	1	no	—
772	C₂×AGL(1,ℤ/8)	—	5	1	no	—
773	C₂×#135	—	5	1	no	—
774	C₂×#135	C₂×D₅	1	1	yes	characteristic, complemented
775	C₂×#135	C₂×D₅	1	1	yes	characteristic, complemented
776	C₂²×SD₁₆	—	5	1	no	—
777	#563	—	10	1	no	—
778	#562	—	10	1	no	—
779	#556	—	5	1	no	—
780	#554	—	5	1	no	—
781	#554	—	10	1	no	—
782	#553	—	5	1	no	—
783	#553	—	10	1	no	—
784	#552	—	5	1	no	—
785	D₄×Q₈	—	5	1	no	—
786	#548	—	5	1	no	—
787	#548	—	5	1	no	—
788	#547	—	5	1	no	—
789	#547	—	5	1	no	—
790	#547	—	5	1	no	—
791	#547	—	10	1	no	—
792	#547	—	10	1	no	—
793	#547	C₂×D₅	1	1	yes	characteristic
794	#547	C₂×D₅	1	1	yes	characteristic, complemented
795	#546	—	5	1	no	—
796	#546	—	5	1	no	—
797	#546	—	5	1	no	—
798	#546	—	5	1	no	—
799	#546	—	10	1	no	—
800	#546	—	10	1	no	—
801	#542	—	5	1	no	—
802	#542	—	10	1	no	—
803	#541	—	5	1	no	—
804	#539	—	10	1	no	—
805	#538	—	10	1	no	—
806	#538	—	10	1	no	—
807	#537	—	5	1	no	—
808	#536	—	5	1	no	—
809	#536	—	5	1	no	—
810	#536	—	5	1	no	—
811	#534	—	10	1	no	—
812	#534	—	10	1	no	—
813	#525	—	5	1	no	—
814	#525	—	5	1	no	—
815	#525	—	5	1	no	—
816	C₂×#123	—	10	1	no	—
817	C₂×#123	—	10	1	no	—
818	C₂×C₂²⋊Q₈	—	5	1	no	—
819	#518	—	5	1	no	—
820	#497	—	5	1	no	—
821	#497	—	5	1	no	—
822	#495	—	5	1	no	—
823	#494	C₂×D₅	1	1	yes	characteristic, complemented
824	#491	—	5	1	no	—
825	#489	—	5	1	no	—
826	#488	—	5	1	no	—
827	#487	—	5	1	no	—
828	#485	—	5	1	no	—
829	#485	—	5	1	no	—
830	#485	—	5	1	no	—
831	#485	—	5	1	no	—
832	#485	—	5	1	no	—
833	#485	—	5	1	no	—
834	#484	—	5	1	no	—
835	#483	—	5	1	no	—
836	#483	—	5	1	no	—
837	#482	—	5	1	no	—
838	#482	—	5	1	no	—
839	#480	—	5	1	no	—
840	#478	—	5	1	no	—
841	#478	—	5	1	no	—
842	#476	—	5	1	no	—
843	#474	—	5	1	no	—
844	#470	—	5	1	no	—
845	#470	—	5	1	no	—
846	#470	—	5	1	no	—
847	#470	—	5	1	no	—
848	#469	—	5	1	no	—
849	#468	—	5	1	no	—
850	#468	—	5	1	no	—
851	#468	—	5	1	no	—
852	#467	—	5	1	no	—
853	#467	—	5	1	no	—
854	#467	—	5	1	no	—
855	#467	C₂×D₅	1	1	yes	characteristic, complemented
856	#467	C₂×D₅	1	1	yes	characteristic, complemented
857	#465	—	5	1	no	—
858	#465	—	5	1	no	—
859	#465	—	5	1	no	—
860	#464	—	5	1	no	—
861	#464	—	5	1	no	—
862	#464	—	5	1	no	—
863	#463	—	5	1	no	—
864	#463	—	5	1	no	—
865	#463	—	5	1	no	—
866	#462	—	5	1	no	—
867	#462	—	5	1	no	—
868	#462	—	5	1	no	—
869	#461	—	5	1	no	—
870	#461	C₂×D₅	1	1	yes	characteristic, complemented
871	#461	C₂×D₅	1	1	yes	characteristic, complemented
872	#452	—	5	1	no	—
873	#452	—	5	1	no	—
874	#452	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic, complemented
884	#452	C₂×D₅	1	1	yes	characteristic, complemented
885	#452	C₂×D₅	1	1	yes	characteristic, complemented
886	#452	C₂×D₅	1	1	yes	characteristic, complemented
887	#451	—	5	1	no	—
888	#451	—	5	1	no	—
889	#451	—	5	1	no	—
890	#451	—	5	1	no	—
891	#451	—	5	1	no	—
892	#451	—	5	1	no	—
893	#450	—	5	1	no	—
894	#450	—	5	1	no	—
895	#450	—	5	1	no	—
896	#450	—	5	1	no	—
897	#450	—	5	1	no	—
898	#450	—	5	1	no	—
899	#449	—	5	1	no	—
900	#449	—	5	1	no	—
901	#449	—	5	1	no	—
902	#449	—	5	1	no	—
903	#449	—	5	1	no	—
904	#448	—	5	1	no	—
905	#448	—	5	1	no	—
906	#447	—	5	1	no	—
907	#447	—	5	1	no	—
908	#442	—	5	1	no	—
909	#440	—	5	1	no	—
910	#440	—	5	1	no	—
911	#440	—	5	1	no	—
912	C₄×SD₁₆	—	5	1	no	—
913	C₄×SD₁₆	—	5	1	no	—
914	C₄×SD₁₆	—	5	1	no	—
915	C₄×D₈	C₂×D₅	1	1	yes	characteristic, complemented
916	#436	—	5	1	no	—
917	#436	—	5	1	no	—
918	#435	—	5	1	no	—
919	#435	—	5	1	no	—
920	#435	—	5	1	no	—
921	#435	—	5	1	no	—
922	C₈×D₄	—	5	1	no	—
923	C₈×D₄	C₂×D₅	1	1	yes	characteristic, complemented
924	#433	—	5	1	no	—
925	#433	—	5	1	no	—
926	#418	—	5	1	no	—
927	#417	—	5	1	no	—
928	#417	—	5	1	no	—
929	#417	—	5	1	no	—
930	#416	—	5	1	no	—
931	#416	—	5	1	no	—
932	#416	—	5	1	no	—
933	C₂×#102	—	5	1	no	—
934	#408	—	5	1	no	—
935	#408	—	5	1	no	—
936	#407	—	5	1	no	—
937	C₂×C₂²⋊C₈	—	5	1	no	—
938	C₂³×C₅	—	2	1	no	—
939	C₂³×C₅	—	2	1	no	—
940	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
942	C₂²×D₅	—	2	1	no	—
943	C₂²×D₅	—	2	4	no	—
944	C₂²×D₅	—	2	1	no	—
945	C₂²×D₅	—	4	1	no	—
946	C₂²×D₅	—	4	1	no	—
947	C₂²×D₅	—	4	1	no	—
948	C₂²×D₅	—	4	2	no	—
949	C₂²×D₅	—	4	2	no	—
950	C₂²×D₅	—	8	1	no	—
951	C₂²×D₅	—	8	1	no	—
952	C₂²×D₅	—	8	1	no	—
953	C₂²×D₅	—	8	1	no	—
954	C₂²×D₅	—	8	1	no	—
955	C₂²×D₅	—	8	1	no	—
956	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
957	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
958	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
959	C₅×Q₈	—	2	1	no	—
960	C₅×Q₈	—	2	1	no	—
961	C₅×Q₈	—	2	1	no	—
962	C₅×Q₈	—	2	1	no	—
963	C₅×Q₈	—	2	1	no	—
964	C₅×Q₈	—	2	1	no	—
965	C₅×Q₈	—	2	1	no	—
966	C₅×Q₈	—	2	1	no	—
967	C₅×D₄	—	2	1	no	—
968	C₅×D₄	—	2	1	no	—
969	C₅×D₄	—	2	1	no	—
970	C₅×D₄	—	4	1	no	—
971	C₅×D₄	—	4	2	no	—
972	C₅×D₄	—	4	2	no	—
973	C₅×D₄	—	8	1	no	—
974	C₅×D₄	—	8	1	no	—
975	C₅×D₄	H(5,𝔽₂)	1	2	yes	—
976	C₂×C₄×C₅	—	2	1	no	—
977	C₂×C₄×C₅	—	2	1	no	—
978	C₂×C₄×C₅	—	2	1	no	—
979	C₂×C₄×C₅	—	2	1	no	—
980	C₂×C₄×C₅	—	2	1	no	—
981	C₂×C₄×C₅	—	2	1	no	—
982	C₂×C₄×C₅	—	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	—	4	2	no	—
987	C₂×C₄×C₅	—	4	2	no	—
988	C₂×C₄×C₅	—	8	1	no	—
989	C₂×C₄×C₅	—	8	1	no	—
990	C₂×C₄×C₅	—	8	1	no	—
991	C₂×C₄×C₅	—	8	1	no	—
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	1	no	—
999	C₂²⋊D₅	—	4	1	no	—
1000	C₂²⋊D₅	—	4	1	no	—
1001	C₂²⋊D₅	—	4	1	no	—
1002	C₂²⋊D₅	—	4	2	no	—
1003	C₂²⋊D₅	—	4	2	no	—
1004	C₂²⋊D₅	—	4	2	no	—
1005	C₂²⋊D₅	—	4	2	no	—
1006	C₂²⋊D₅	—	8	1	no	—
1007	C₂²⋊D₅	—	8	1	no	—
1008	C₂²⋊D₅	—	8	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	—	2	1	no	—
1014	C₂×Dic₅	—	2	1	no	—
1015	C₂×Dic₅	—	4	1	no	—
1016	C₂×Dic₅	—	4	2	no	—
1017	C₂×Dic₅	—	8	1	no	—
1018	C₂×Dic₅	—	8	1	no	—
1019	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1020	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1021	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1022	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1023	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
1024	D₂₀	—	2	1	no	—
1025	D₂₀	—	2	1	no	—
1026	D₂₀	—	2	1	no	—
1027	D₂₀	—	4	1	no	—
1028	D₂₀	—	4	1	no	—
1029	D₂₀	—	4	2	no	—
1030	D₂₀	—	4	2	no	—
1031	D₂₀	—	4	2	no	—
1032	D₂₀	—	4	2	no	—
1033	D₂₀	—	8	1	no	—
1034	D₂₀	H(5,𝔽₂)	1	2	yes	—
1035	C₄×D₅	—	2	1	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	—	4	1	no	—
1042	C₄×D₅	—	4	1	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	—	8	1	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	Dic₁₀	—	2	1	no	—
1054	Dic₁₀	—	2	1	no	—
1055	Dic₁₀	—	2	1	no	—
1056	Dic₁₀	—	2	1	no	—
1057	Dic₁₀	—	4	1	no	—
1058	Dic₁₀	—	4	2	no	—
1059	Dic₁₀	—	8	1	no	—
1060	Dic₁₀	—	8	1	no	—
1061	Dic₁₀	—	8	1	no	—
1062	C₅×C₈	—	2	1	no	—
1063	C₅×C₈	—	2	1	no	—
1064	C₅×C₈	—	2	1	no	—
1065	C₅×C₈	—	2	1	no	—
1066	#168	—	2	1	no	—
1067	#168	—	2	1	no	—
1068	#168	—	2	1	no	—
1069	#168	—	2	1	no	—
1070	H(5,𝔽₂)	—	20	2	no	—
1071	H(5,𝔽₂)	—	20	2	no	—
1072	C₂×#41	—	5	1	no	—
1073	C₂×#41	—	5	1	no	—
1074	C₂×#41	—	5	1	no	—
1075	C₂×#41	—	5	1	no	—
1076	C₂×#41	—	5	1	no	—
1077	C₂×#41	—	5	1	no	—
1078	C₂×#41	—	10	1	no	—
1079	C₂×#41	—	10	1	no	—
1080	C₂×#41	—	10	1	no	—
1081	C₂×#41	—	20	2	no	—
1082	C₂×#41	—	20	2	no	—
1083	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1084	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1085	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1086	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1087	C₂²×Q₈	—	5	1	no	—
1088	C₂²×Q₈	—	5	1	no	—
1089	C₂²×Q₈	—	5	1	no	—
1090	C₂²×D₄	—	5	1	no	—
1091	C₂²×D₄	—	5	1	no	—
1092	C₂²×D₄	—	5	1	no	—
1093	C₂²×D₄	—	10	1	no	—
1094	C₂²×D₄	—	10	1	no	—
1095	C₂²×D₄	—	10	1	no	—
1096	C₂²×D₄	—	10	1	no	—
1097	C₂³×C₄	—	5	1	no	—
1098	C₂³×C₄	—	10	1	no	—
1099	#137	—	20	2	no	—
1100	#137	—	20	2	no	—
1101	#137	—	20	2	no	—
1102	AGL(1,ℤ/8)	—	20	2	no	—
1103	#135	—	4	2	no	—
1104	#135	—	4	2	no	—
1105	#135	—	20	2	no	—
1106	C₂×Q₁₆	—	5	1	no	—
1107	C₂×Q₁₆	—	5	1	no	—
1108	C₂×Q₁₆	—	5	1	no	—
1109	C₂×Q₁₆	—	5	1	no	—
1110	C₂×Q₁₆	—	5	1	no	—
1111	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1112	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1113	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1114	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1115	C₂×SD₁₆	—	5	1	no	—
1116	C₂×SD₁₆	—	5	1	no	—
1117	C₂×SD₁₆	—	5	1	no	—
1118	C₂×SD₁₆	—	5	1	no	—
1119	C₂×SD₁₆	—	5	1	no	—
1120	C₂×SD₁₆	—	5	1	no	—
1121	C₂×SD₁₆	—	5	1	no	—
1122	C₂×SD₁₆	—	5	1	no	—
1123	C₂×SD₁₆	—	20	2	no	—
1124	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1125	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1126	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1127	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1128	C₂×D₈	—	5	1	no	—
1129	C₂×D₈	—	5	1	no	—
1130	C₂×D₈	C₂²×D₅	1	1	yes	characteristic
1131	C₂×M₁₆	—	5	1	no	—
1132	C₂×M₁₆	—	5	1	no	—
1133	C₂×M₁₆	—	5	1	no	—
1134	C₂×M₁₆	—	5	1	no	—
1135	C₂²×C₈	—	5	1	no	—
1136	C₂²×C₈	—	5	1	no	—
1137	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1138	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄⋊Q₈	—	5	1	no	—
1140	C₄⋊Q₈	—	5	1	no	—
1141	C₄⋊Q₈	—	10	1	no	—
1142	C₄⋊Q₈	—	10	1	no	—
1143	C₄⋊Q₈	—	10	1	no	—
1144	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1145	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1146	#126	—	10	1	no	—
1147	#126	—	10	1	no	—
1148	#126	—	10	1	no	—
1149	#126	—	10	1	no	—
1150	#126	—	10	1	no	—
1151	#126	—	10	1	no	—
1152	#126	—	10	1	no	—
1153	#125	—	5	1	no	—
1154	#125	—	10	1	no	—
1155	#125	—	10	1	no	—
1156	#125	—	10	1	no	—
1157	#125	—	10	1	no	—
1158	#124	—	5	1	no	—
1159	#124	—	5	1	no	—
1160	#124	—	5	1	no	—
1161	#124	—	10	1	no	—
1162	#124	—	10	1	no	—
1163	#124	—	10	1	no	—
1164	#124	—	10	1	no	—
1165	#124	—	10	1	no	—
1166	#124	—	10	1	no	—
1167	#123	—	2	1	no	—
1168	#123	—	2	1	no	—
1169	#123	—	2	1	no	—
1170	#123	—	2	1	no	—
1171	#123	—	5	1	no	—
1172	#123	—	5	1	no	—
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	#123	—	10	1	no	—
1189	#123	—	10	1	no	—
1190	#123	—	10	1	no	—
1191	#123	—	10	1	no	—
1192	#123	—	10	1	no	—
1193	#123	—	10	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	—	5	1	no	—
1201	C₂²⋊Q₈	—	5	1	no	—
1202	C₂²⋊Q₈	—	5	1	no	—
1203	C₂²⋊Q₈	—	5	1	no	—
1204	C₂²⋊Q₈	—	5	1	no	—
1205	C₂²⋊Q₈	—	5	1	no	—
1206	C₂²⋊Q₈	—	5	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	—	10	1	no	—
1214	C₂²⋊Q₈	—	10	1	no	—
1215	C₂²⋊Q₈	—	10	1	no	—
1216	C₂²⋊Q₈	—	10	1	no	—
1217	C₂²⋊Q₈	—	10	1	no	—
1218	C₂²⋊Q₈	—	10	1	no	—
1219	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1220	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1221	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1222	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1223	#121	—	2	1	no	—
1224	#121	—	2	1	no	—
1225	#121	—	5	1	no	—
1226	#121	—	5	1	no	—
1227	#121	—	5	1	no	—
1228	#121	—	5	1	no	—
1229	#121	—	5	1	no	—
1230	#121	—	5	1	no	—
1231	#121	—	5	1	no	—
1232	#121	—	10	1	no	—
1233	#121	—	10	1	no	—
1234	#121	—	10	1	no	—
1235	#121	—	10	1	no	—
1236	#121	—	10	1	no	—
1237	#121	—	10	1	no	—
1238	#121	—	10	1	no	—
1239	#121	—	10	1	no	—
1240	#121	—	10	1	no	—
1241	#121	—	10	1	no	—
1242	#121	—	10	1	no	—
1243	#121	—	10	1	no	—
1244	#121	—	10	1	no	—
1245	#120	—	5	1	no	—
1246	#120	—	5	1	no	—
1247	#120	—	10	1	no	—
1248	#120	—	10	1	no	—
1249	#120	—	10	1	no	—
1250	#120	—	10	1	no	—
1251	#120	—	10	1	no	—
1252	#120	—	10	1	no	—
1253	C₄×Q₈	—	5	1	no	—
1254	C₄×Q₈	—	5	1	no	—
1255	C₄×Q₈	—	5	1	no	—
1256	C₄×Q₈	—	10	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	C₂²×D₅	1	1	yes	characteristic
1275	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1276	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1277	#117	—	5	1	no	—
1278	#117	—	5	1	no	—
1279	#117	—	5	1	no	—
1280	#117	—	5	1	no	—
1281	#117	—	10	1	no	—
1282	C₂×C₄⋊C₄	—	2	1	no	—
1283	C₂×C₄⋊C₄	—	2	1	no	—
1284	C₂×C₄⋊C₄	—	5	1	no	—
1285	C₂×C₄⋊C₄	—	5	1	no	—
1286	C₂×C₄⋊C₄	—	10	1	no	—
1287	C₂×C₄⋊C₄	—	10	1	no	—
1288	C₂×C₄⋊C₄	—	10	1	no	—
1289	C₂×C₄⋊C₄	—	10	1	no	—
1290	C₂×C₂²⋊C₄	—	10	1	no	—
1291	C₂×C₂²⋊C₄	—	10	1	no	—
1292	C₂×C₂²⋊C₄	—	10	1	no	—
1293	C₂×C₂²⋊C₄	—	10	1	no	—
1294	C₂×C₂²⋊C₄	—	10	1	no	—
1295	C₂×C₂²⋊C₄	—	10	1	no	—
1296	C₂×C₂²⋊C₄	—	10	1	no	—
1297	#107	—	5	1	no	—
1298	#107	—	5	1	no	—
1299	#107	—	5	1	no	—
1300	#107	C₂²×D₅	1	1	yes	characteristic
1301	#106	—	5	1	no	—
1302	#106	—	5	1	no	—
1303	#106	—	5	1	no	—
1304	#106	—	5	1	no	—
1305	C₄⋊C₈	—	5	1	no	—
1306	C₄⋊C₈	—	5	1	no	—
1307	C₄⋊C₈	—	5	1	no	—
1308	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1309	#103	—	5	1	no	—
1310	#103	—	5	1	no	—
1311	#103	—	5	1	no	—
1312	#103	—	5	1	no	—
1313	#103	—	5	1	no	—
1314	#103	—	5	1	no	—
1315	#103	—	5	1	no	—
1316	#103	—	5	1	no	—
1317	#103	—	5	1	no	—
1318	#103	—	5	1	no	—
1319	#103	—	5	1	no	—
1320	#103	—	5	1	no	—
1321	#103	—	5	1	no	—
1322	#103	—	5	1	no	—
1323	#103	C₂²×D₅	1	1	yes	characteristic
1324	#103	C₂²×D₅	1	1	yes	characteristic
1325	#103	C₂²×D₅	1	1	yes	characteristic
1326	#103	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1336	#102	—	5	1	no	—
1337	#102	—	5	1	no	—
1338	#102	—	5	1	no	—
1339	#102	C₂²×D₅	1	1	yes	characteristic
1340	#102	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1346	C₂²⋊C₈	—	5	1	no	—
1347	C₂²⋊C₈	—	5	1	no	—
1348	C₂²⋊C₈	—	5	1	no	—
1349	C₂²⋊C₈	—	5	1	no	—
1350	C₂²⋊C₈	—	5	1	no	—
1351	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1352	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1353	#97	—	5	1	no	—
1354	#97	—	5	1	no	—
1355	C₄×C₈	—	5	1	no	—
1356	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1357	C₂²×C₅	—	2	1	no	—
1358	C₂²×C₅	—	2	1	no	—
1359	C₂²×C₅	—	2	1	no	—
1360	C₂²×C₅	—	2	1	no	—
1361	C₂²×C₅	—	2	2	no	—
1362	C₂²×C₅	—	2	1	no	—
1363	C₂²×C₅	—	2	1	no	—
1364	C₂²×C₅	—	4	1	no	—
1365	C₂²×C₅	—	4	1	no	—
1366	C₂²×C₅	—	4	1	no	—
1367	C₂²×C₅	—	4	1	no	—
1368	C₂²×C₅	—	4	1	no	—
1369	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1370	C₂×D₅	—	2	1	no	—
1371	C₂×D₅	—	2	1	no	—
1372	C₂×D₅	—	2	1	no	—
1373	C₂×D₅	—	2	1	no	—
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	2	no	—
1380	C₂×D₅	—	4	1	no	—
1381	C₂×D₅	—	4	1	no	—
1382	C₂×D₅	—	4	1	no	—
1383	C₂×D₅	—	4	1	no	—
1384	C₂×D₅	—	4	1	no	—
1385	C₂×D₅	—	8	4	no	—
1386	C₂×D₅	—	8	2	no	—
1387	C₂×D₅	—	16	2	no	—
1388	C₂×D₅	—	16	2	no	—
1389	C₄×C₅	—	2	1	no	—
1390	C₄×C₅	—	2	1	no	—
1391	C₄×C₅	—	2	1	no	—
1392	C₄×C₅	—	2	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	—	4	1	no	—
1398	C₄×C₅	—	4	1	no	—
1399	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1400	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1401	Dic₅	—	2	1	no	—
1402	Dic₅	—	2	1	no	—
1403	Dic₅	—	2	1	no	—
1404	Dic₅	—	2	1	no	—
1405	Dic₅	—	2	1	no	—
1406	Dic₅	—	4	1	no	—
1407	Dic₅	—	4	1	no	—
1408	Dic₅	—	4	1	no	—
1409	Dic₅	—	4	1	no	—
1410	Dic₅	—	4	1	no	—
1411	Dic₅	—	4	1	no	—
1412	C₂⁴	—	5	1	no	—
1413	C₂⁴	—	10	1	no	—
1414	C₂⁴	—	10	1	no	—
1415	C₂⁴	—	10	1	no	—
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	4	1	no	—
1419	#41	—	4	1	no	—
1420	#41	—	4	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	4	1	no	—
1423	#41	—	4	1	no	—
1424	#41	—	10	2	no	—
1425	#41	—	10	2	no	—
1426	#41	—	10	2	no	—
1427	#41	—	10	2	no	—
1428	#41	—	20	1	no	—
1429	#41	—	20	1	no	—
1430	#41	—	20	1	no	—
1431	#41	—	20	4	no	—
1432	#41	—	20	4	no	—
1433	#41	—	20	1	no	—
1434	#41	—	20	1	no	—
1435	#41	—	20	1	no	—
1436	#41	—	20	1	no	—
1437	#41	—	20	1	no	—
1438	#41	—	20	4	no	—
1439	C₂×Q₈	—	5	1	no	—
1440	C₂×Q₈	—	5	1	no	—
1441	C₂×Q₈	—	5	1	no	—
1442	C₂×Q₈	—	10	1	no	—
1443	C₂×Q₈	—	10	1	no	—
1444	C₂×Q₈	—	10	1	no	—
1445	C₂×Q₈	—	10	1	no	—
1446	C₂×Q₈	—	20	1	no	—
1447	C₂×Q₈	—	20	1	no	—
1448	C₂×Q₈	—	20	1	no	—
1449	C₂×Q₈	—	20	1	no	—
1450	C₂×Q₈	—	20	1	no	—
1451	C₂×Q₈	—	20	1	no	—
1452	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1453	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1454	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1455	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	5	1	no	—
1461	C₂×D₄	—	5	1	no	—
1462	C₂×D₄	—	5	1	no	—
1463	C₂×D₄	—	5	1	no	—
1464	C₂×D₄	—	5	1	no	—
1465	C₂×D₄	—	5	1	no	—
1466	C₂×D₄	—	5	1	no	—
1467	C₂×D₄	—	5	1	no	—
1468	C₂×D₄	—	10	2	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	—	10	2	no	—
1476	C₂×D₄	—	10	2	no	—
1477	C₂×D₄	—	10	2	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	1	no	—
1484	C₂×D₄	—	10	1	no	—
1485	C₂×D₄	—	20	1	no	—
1486	C₂×D₄	—	20	4	no	—
1487	C₂×D₄	—	20	1	no	—
1488	C₂×D₄	—	20	4	no	—
1489	C₂×D₄	—	20	4	no	—
1490	C₂×D₄	—	20	4	no	—
1491	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	5	1	no	—
1501	C₂²×C₄	—	5	1	no	—
1502	C₂²×C₄	—	5	1	no	—
1503	C₂²×C₄	—	5	1	no	—
1504	C₂²×C₄	—	5	1	no	—
1505	C₂²×C₄	—	5	1	no	—
1506	C₂²×C₄	—	10	1	no	—
1507	C₂²×C₄	—	10	1	no	—
1508	C₂²×C₄	—	10	1	no	—
1509	C₂²×C₄	—	10	1	no	—
1510	C₂²×C₄	—	10	1	no	—
1511	C₂²×C₄	—	10	1	no	—
1512	C₂²×C₄	—	10	1	no	—
1513	C₂²×C₄	—	10	1	no	—
1514	C₂²×C₄	—	10	1	no	—
1515	C₂²×C₄	—	10	1	no	—
1516	C₂²×C₄	—	10	1	no	—
1517	C₂²×C₄	—	10	1	no	—
1518	C₂²×C₄	—	10	1	no	—
1519	C₂²×C₄	—	20	1	no	—
1520	C₂²×C₄	—	20	1	no	—
1521	C₂²×C₄	—	20	4	no	—
1522	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1523	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1524	Q₁₆	—	4	1	no	—
1525	Q₁₆	—	4	1	no	—
1526	Q₁₆	—	4	1	no	—
1527	Q₁₆	—	4	1	no	—
1528	Q₁₆	—	20	1	no	—
1529	Q₁₆	—	20	1	no	—
1530	Q₁₆	—	20	1	no	—
1531	Q₁₆	—	20	1	no	—
1532	Q₁₆	—	20	1	no	—
1533	SD₁₆	—	2	2	no	—
1534	SD₁₆	—	2	2	no	—
1535	SD₁₆	—	4	1	no	—
1536	SD₁₆	—	4	1	no	—
1537	SD₁₆	—	10	2	no	—
1538	SD₁₆	—	10	2	no	—
1539	SD₁₆	—	10	2	no	—
1540	SD₁₆	—	10	2	no	—
1541	SD₁₆	—	20	1	no	—
1542	SD₁₆	—	20	1	no	—
1543	SD₁₆	—	20	1	no	—
1544	SD₁₆	—	20	1	no	—
1545	D₈	—	2	2	no	—
1546	D₈	—	10	2	no	—
1547	D₈	—	20	1	no	—
1548	M₁₆	—	20	1	no	—
1549	M₁₆	—	20	1	no	—
1550	M₁₆	—	20	1	no	—
1551	M₁₆	—	20	1	no	—
1552	C₂×C₈	—	4	1	no	—
1553	C₂×C₈	—	4	1	no	—
1554	C₂×C₈	—	5	1	no	—
1555	C₂×C₈	—	5	1	no	—
1556	C₂×C₈	—	5	1	no	—
1557	C₂×C₈	—	5	1	no	—
1558	C₂×C₈	—	20	1	no	—
1559	C₂×C₈	—	20	1	no	—
1560	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1561	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1562	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1563	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1564	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	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	5	1	no	—
1573	C₄⋊C₄	—	5	1	no	—
1574	C₄⋊C₄	—	5	1	no	—
1575	C₄⋊C₄	—	5	1	no	—
1576	C₄⋊C₄	—	5	1	no	—
1577	C₄⋊C₄	—	5	1	no	—
1578	C₄⋊C₄	—	5	1	no	—
1579	C₄⋊C₄	—	5	1	no	—
1580	C₄⋊C₄	—	5	1	no	—
1581	C₄⋊C₄	—	10	1	no	—
1582	C₄⋊C₄	—	10	1	no	—
1583	C₄⋊C₄	—	10	1	no	—
1584	C₄⋊C₄	—	10	1	no	—
1585	C₄⋊C₄	—	10	1	no	—
1586	C₄⋊C₄	—	10	1	no	—
1587	C₄⋊C₄	—	10	1	no	—
1588	C₄⋊C₄	—	10	1	no	—
1589	C₄⋊C₄	—	10	1	no	—
1590	C₄⋊C₄	—	10	1	no	—
1591	C₄⋊C₄	—	10	1	no	—
1592	C₄⋊C₄	—	10	1	no	—
1593	C₄⋊C₄	—	10	1	no	—
1594	C₄⋊C₄	—	10	1	no	—
1595	C₄⋊C₄	—	10	1	no	—
1596	C₄⋊C₄	—	10	1	no	—
1597	C₄⋊C₄	—	10	1	no	—
1598	C₄⋊C₄	—	10	1	no	—
1599	C₄⋊C₄	—	10	1	no	—
1600	C₄⋊C₄	—	10	1	no	—
1601	C₄⋊C₄	—	10	1	no	—
1602	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1603	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1604	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	5	1	no	—
1612	C₂²⋊C₄	—	5	1	no	—
1613	C₂²⋊C₄	—	5	1	no	—
1614	C₂²⋊C₄	—	5	1	no	—
1615	C₂²⋊C₄	—	5	1	no	—
1616	C₂²⋊C₄	—	5	1	no	—
1617	C₂²⋊C₄	—	5	1	no	—
1618	C₂²⋊C₄	—	5	1	no	—
1619	C₂²⋊C₄	—	10	1	no	—
1620	C₂²⋊C₄	—	10	1	no	—
1621	C₂²⋊C₄	—	10	1	no	—
1622	C₂²⋊C₄	—	10	1	no	—
1623	C₂²⋊C₄	—	10	1	no	—
1624	C₂²⋊C₄	—	10	1	no	—
1625	C₂²⋊C₄	—	10	1	no	—
1626	C₂²⋊C₄	—	10	1	no	—
1627	C₂²⋊C₄	—	10	1	no	—
1628	C₂²⋊C₄	—	10	1	no	—
1629	C₂²⋊C₄	—	10	1	no	—
1630	C₂²⋊C₄	—	10	1	no	—
1631	C₂²⋊C₄	—	10	1	no	—
1632	C₂²⋊C₄	—	10	1	no	—
1633	C₂²⋊C₄	—	10	1	no	—
1634	C₂²⋊C₄	—	10	1	no	—
1635	C₂²⋊C₄	—	10	1	no	—
1636	C₂²⋊C₄	—	10	1	no	—
1637	C₂²⋊C₄	—	10	1	no	—
1638	C₂²⋊C₄	—	10	1	no	—
1639	C₂²⋊C₄	—	10	1	no	—
1640	C₂²⋊C₄	—	10	1	no	—
1641	C₂²⋊C₄	—	10	1	no	—
1642	C₂²⋊C₄	—	10	1	no	—
1643	C₂²⋊C₄	—	10	1	no	—
1644	C₂²⋊C₄	—	10	1	no	—
1645	C₂²⋊C₄	—	10	1	no	—
1646	C₂²⋊C₄	—	10	1	no	—
1647	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1648	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1649	C₄²	—	5	1	no	—
1650	C₄²	—	10	1	no	—
1651	C₄²	—	10	1	no	—
1652	C₄²	—	10	1	no	—
1653	C₄²	—	10	1	no	—
1654	C₄²	—	10	1	no	—
1655	C₄²	—	10	1	no	—
1656	C₄²	C₂³×D₅	1	1	yes	characteristic
1657	C₂×C₅	—	4	2	no	—
1658	C₂×C₅	—	4	1	no	—
1659	C₂×C₅	—	4	1	no	—
1660	C₂×C₅	—	8	1	no	—
1661	C₂×C₅	#3484	1	1	yes	characteristic
1662	C₂×C₅	#3584	1	1	yes	characteristic
1663	C₂×C₅	#3586	1	1	yes	characteristic
1664	D₅	—	4	1	no	—
1665	D₅	—	4	1	no	—
1666	D₅	—	4	1	no	—
1667	D₅	—	4	2	no	—
1668	D₅	—	8	1	no	—
1669	C₂³	—	2	1	no	—
1670	C₂³	—	2	1	no	—
1671	C₂³	—	5	1	no	—
1672	C₂³	—	5	1	no	—
1673	C₂³	—	5	1	no	—
1674	C₂³	—	10	4	no	—
1675	C₂³	—	10	1	no	—
1676	C₂³	—	10	1	no	—
1677	C₂³	—	20	1	no	—
1678	C₂³	—	20	1	no	—
1679	C₂³	—	20	1	no	—
1680	C₂³	—	20	2	no	—
1681	C₂³	—	20	2	no	—
1682	C₂³	—	40	1	no	—
1683	C₂³	—	40	1	no	—
1684	C₂³	—	40	1	no	—
1685	C₂³	—	40	1	no	—
1686	C₂³	—	40	1	no	—
1687	C₂³	—	40	1	no	—
1688	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1689	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1690	Q₈	—	2	1	no	—
1691	Q₈	—	2	1	no	—
1692	Q₈	—	2	1	no	—
1693	Q₈	—	2	1	no	—
1694	Q₈	—	2	1	no	—
1695	Q₈	—	2	1	no	—
1696	Q₈	—	2	1	no	—
1697	Q₈	—	2	1	no	—
1698	Q₈	—	10	1	no	—
1699	Q₈	—	10	1	no	—
1700	Q₈	—	10	1	no	—
1701	Q₈	—	10	1	no	—
1702	Q₈	—	20	1	no	—
1703	Q₈	—	20	2	no	—
1704	Q₈	—	40	1	no	—
1705	Q₈	—	40	1	no	—
1706	Q₈	—	40	1	no	—
1707	D₄	—	2	1	no	—
1708	D₄	—	2	1	no	—
1709	D₄	—	2	1	no	—
1710	D₄	—	4	1	no	—
1711	D₄	—	4	2	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	5	2	no	—
1714	D₄	—	8	1	no	—
1715	D₄	—	8	1	no	—
1716	D₄	—	10	4	no	—
1717	D₄	—	10	1	no	—
1718	D₄	—	10	1	no	—
1719	D₄	—	10	1	no	—
1720	D₄	—	20	1	no	—
1721	D₄	—	20	1	no	—
1722	D₄	—	20	2	no	—
1723	D₄	—	20	2	no	—
1724	D₄	—	20	2	no	—
1725	D₄	—	20	2	no	—
1726	D₄	—	20	1	no	—
1727	D₄	—	20	1	no	—
1728	D₄	—	20	1	no	—
1729	D₄	—	20	1	no	—
1730	D₄	—	20	2	no	—
1731	D₄	—	20	2	no	—
1732	D₄	—	20	2	no	—
1733	D₄	—	20	2	no	—
1734	D₄	—	40	1	no	—
1735	D₄	—	40	1	no	—
1736	D₄	—	40	1	no	—
1737	D₄	—	40	1	no	—
1738	D₄	#4144	1	2	yes	—
1739	C₂×C₄	—	2	1	no	—
1740	C₂×C₄	—	2	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	4	2	no	—
1750	C₂×C₄	—	4	2	no	—
1751	C₂×C₄	—	5	1	no	—
1752	C₂×C₄	—	5	1	no	—
1753	C₂×C₄	—	5	1	no	—
1754	C₂×C₄	—	5	1	no	—
1755	C₂×C₄	—	5	1	no	—
1756	C₂×C₄	—	8	1	no	—
1757	C₂×C₄	—	8	1	no	—
1758	C₂×C₄	—	8	1	no	—
1759	C₂×C₄	—	8	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	—	10	1	no	—
1769	C₂×C₄	—	10	1	no	—
1770	C₂×C₄	—	10	1	no	—
1771	C₂×C₄	—	10	1	no	—
1772	C₂×C₄	—	20	1	no	—
1773	C₂×C₄	—	20	1	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	—	20	1	no	—
1780	C₂×C₄	—	20	2	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	—	40	1	no	—
1787	C₂×C₄	—	40	1	no	—
1788	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1789	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1790	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1791	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1792	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1793	C₈	—	2	1	no	—
1794	C₈	—	2	1	no	—
1795	C₈	—	2	1	no	—
1796	C₈	—	2	1	no	—
1797	C₈	—	10	1	no	—
1798	C₈	—	10	1	no	—
1799	C₈	—	10	1	no	—
1800	C₈	—	10	1	no	—
1801	C₅	#61613	1	1	yes	characteristic, complemented, Sylow
1802	C₂²	—	2	1	no	—
1803	C₂²	—	2	1	no	—
1804	C₂²	—	2	2	no	—
1805	C₂²	—	2	1	no	—
1806	C₂²	—	2	1	no	—
1807	C₂²	—	2	1	no	—
1808	C₂²	—	2	1	no	—
1809	C₂²	—	4	1	no	—
1810	C₂²	—	4	1	no	—
1811	C₂²	—	4	1	no	—
1812	C₂²	—	4	1	no	—
1813	C₂²	—	4	1	no	—
1814	C₂²	—	10	1	no	—
1815	C₂²	—	10	1	no	—
1816	C₂²	—	10	1	no	—
1817	C₂²	—	10	2	no	—
1818	C₂²	—	10	1	no	—
1819	C₂²	—	10	1	no	—
1820	C₂²	—	10	1	no	—
1821	C₂²	—	10	1	no	—
1822	C₂²	—	10	1	no	—
1823	C₂²	—	10	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	—	40	4	no	—
1830	C₂²	—	40	2	no	—
1831	C₂²	—	80	2	no	—
1832	C₂²	—	80	2	no	—
1833	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1834	C₄	—	2	1	no	—
1835	C₄	—	2	1	no	—
1836	C₄	—	2	1	no	—
1837	C₄	—	2	1	no	—
1838	C₄	—	4	1	no	—
1839	C₄	—	4	1	no	—
1840	C₄	—	4	1	no	—
1841	C₄	—	4	1	no	—
1842	C₄	—	4	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	10	1	no	—
1845	C₄	—	10	1	no	—
1846	C₄	—	10	1	no	—
1847	C₄	—	10	1	no	—
1848	C₄	—	10	1	no	—
1849	C₄	—	20	1	no	—
1850	C₄	—	20	1	no	—
1851	C₄	—	20	1	no	—
1852	C₄	—	20	1	no	—
1853	C₄	—	20	1	no	—
1854	C₄	—	20	1	no	—
1855	C₄	C₂×#4144	1	1	yes	characteristic
1856	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1857	C₂	—	4	1	no	—
1858	C₂	—	4	1	no	—
1859	C₂	—	4	2	no	—
1860	C₂	—	8	1	no	—
1861	C₂	—	20	1	no	—
1862	C₂	—	20	1	no	—
1863	C₂	—	20	1	no	—
1864	C₂	—	20	2	no	—
1865	C₂	—	40	1	no	—
1866	C₂	#10618521	1	1	yes	characteristic
1867	C₂	#10619088	1	1	yes	characteristic
1868	C₂	#10619112	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₅
commutator, cosocle	C₂×C₄×C₅	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₅
Fitting	C₅×#3283	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3283	D₅
hypocenter	C₅	#61613
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3283

Complements

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

N	H ≅ G/N	type
1. #10618601	C₂	semidirect
2. #10618591	C₂	semidirect
3. C₅×#3283	C₂	semidirect
4. #10615656	C₂	semidirect
5. #10615650	C₂	semidirect
6. #10615643	C₂	semidirect
7. #10615642	C₂	semidirect
8. #10615253	C₂	semidirect
9. #10615244	C₂	semidirect
10. #10613536	C₂	semidirect
11. #10613535	C₂	semidirect
12. #10612508	C₂	semidirect
13. #10612507	C₂	semidirect
14. #10612498	C₂	semidirect
15. #10612495	C₂	semidirect
16. #10612183	C₂	semidirect
17. #10612175	C₂	semidirect
18. #10612168	C₂	semidirect
19. #10612144	C₂	semidirect
20. #10611999	C₂	semidirect
21. #10611998	C₂	semidirect
22. #10611991	C₂	semidirect
23. #10611981	C₂	semidirect
24. #10611968	C₂	semidirect
25. #10611967	C₂	semidirect
26. #10611960	C₂	semidirect
27. #10611959	C₂	semidirect
28. #10611342	C₂	semidirect
29. #10611325	C₂	semidirect
30. #10611171	C₂	semidirect
31. #10611159	C₂	semidirect
34. C₂×C₅×#135	C₂²	semidirect
35. C₂×C₅×#135	C₂²	semidirect
37. C₅×#547	C₂²	semidirect
39. #66165	C₂²	semidirect
40. #66165	C₂²	semidirect
42. #66162	C₂²	semidirect
44. C₂×#4096	C₂²	semidirect
45. C₂×#4095	C₂²	semidirect
46. C₂×#4064	C₂²	semidirect
47. C₂×#4064	C₂²	semidirect
48. C₂×#4061	C₂²	semidirect
49. C₂×D₅×SD₁₆	C₂²	semidirect
50. #66065	C₂²	semidirect
51. #66061	C₂²	semidirect
62. #65975	C₂²	semidirect
63. #65969	C₂²	semidirect
69. D₅×C₂²⋊Q₈	C₂²	semidirect
74. #65895	C₂²	semidirect
75. #65892	C₂²	semidirect
80. #65875	C₂²	semidirect
85. C₅×#494	C₂²	semidirect
86. C₅×#467	C₂²	semidirect
87. C₅×#467	C₂²	semidirect
88. C₅×#461	C₂²	semidirect
89. C₅×#461	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
91. C₅×#452	C₂²	semidirect
92. C₅×#452	C₂²	semidirect
93. C₅×#452	C₂²	semidirect
94. C₄×C₅×D₈	C₂²	semidirect
95. C₅×C₈×D₄	C₂²	semidirect
96. #65528	C₂²	semidirect
97. #65528	C₂²	semidirect
98. #65528	C₂²	semidirect
99. #65527	C₂²	semidirect
100. #65522	C₂²	semidirect
101. #65521	C₂²	semidirect
102. #65478	C₂²	semidirect
103. #65478	C₂²	semidirect
106. #65476	C₂²	semidirect
107. #65476	C₂²	semidirect
108. #65475	C₂²	semidirect
109. #65475	C₂²	semidirect
110. #65475	C₂²	semidirect
111. #65475	C₂²	semidirect
112. #65474	C₂²	semidirect
113. #65474	C₂²	semidirect
114. #65471	C₂²	semidirect
115. #65471	C₂²	semidirect
116. #65463	C₂²	semidirect
117. #65462	C₂²	semidirect
119. #65461	C₂²	semidirect
120. #65461	C₂²	semidirect
121. #65460	C₂²	semidirect
122. #65459	C₂²	semidirect
125. #65458	C₂²	semidirect
126. #65457	C₂²	semidirect
127. #65456	C₂²	semidirect
128. #65453	C₂²	semidirect
129. SD₁₆×Dic₅	C₂²	semidirect
130. #65447	C₂²	semidirect
132. #65445	C₂²	semidirect
133. #65442	C₂²	semidirect
134. #65405	C₂²	semidirect
135. #65403	C₂²	semidirect
136. #65402	C₂²	semidirect
137. C₂×#3953	C₂²	semidirect
138. #65400	C₂²	semidirect
140. C₈×C₂²⋊D₅	C₂²	semidirect
141. C₂×#3952	C₂²	semidirect
142. #65379	C₂²	semidirect
143. #65375	C₂²	semidirect
144. #65372	C₂²	semidirect
145. #65371	C₂²	semidirect
146. #65341	C₂²	semidirect
147. #65341	C₂²	semidirect
148. #65340	C₂²	semidirect
149. #65337	C₂²	semidirect
150. #65336	C₂²	semidirect
151. #65335	C₂²	semidirect
152. #65334	C₂²	semidirect
153. #65333	C₂²	semidirect
154. #65307	C₂²	semidirect
155. #65305	C₂²	semidirect
156. #65303	C₂²	semidirect
157. #65300	C₂²	semidirect
158. #65298	C₂²	semidirect
159. #65179	C₂²	semidirect
160. #65177	C₂²	semidirect
161. #65177	C₂²	semidirect
162. #65171	C₂²	semidirect
163. #65136	C₂²	semidirect
164. #65134	C₂²	semidirect
165. #65129	C₂²	semidirect
166. #65125	C₂²	semidirect
167. #65106	C₂²	semidirect
168. #65104	C₂²	semidirect
169. #65103	C₂²	semidirect
170. #65103	C₂²	semidirect
171. #65102	C₂²	semidirect
172. #65101	C₂²	semidirect
174. #65097	C₂²	semidirect
175. #65097	C₂²	semidirect
176. #65095	C₂²	semidirect
177. #65094	C₂²	semidirect
178. #65093	C₂²	semidirect
179. #65092	C₂²	semidirect
180. #65084	C₂²	semidirect
181. #65081	C₂²	semidirect
182. #65077	C₂²	semidirect
183. #65076	C₂²	semidirect
184. #65071	C₂²	semidirect
185. #65069	C₂²	semidirect
186. #65068	C₂²	semidirect
188. #65060	C₂²	semidirect
189. #65059	C₂²	semidirect
190. #65050	C₂²	semidirect
191. #65026	C₂²	semidirect
192. #65022	C₂²	semidirect
193. #65020	C₂²	semidirect
194. #65019	C₂²	semidirect
195. #65018	C₂²	semidirect
197. #65015	C₂²	semidirect
198. #65010	C₂²	semidirect
199. #64986	C₂²	semidirect
200. C₄×#677	C₂²	semidirect
201. #64979	C₂²	semidirect
202. #64977	C₂²	semidirect
501. #3283	D₅	semidirect
774. C₂×#135	C₂×D₅	semidirect
775. C₂×#135	C₂×D₅	semidirect
794. #547	C₂×D₅	semidirect
823. #494	C₂×D₅	semidirect
855. #467	C₂×D₅	semidirect
856. #467	C₂×D₅	semidirect
870. #461	C₂×D₅	semidirect
871. #461	C₂×D₅	semidirect
883. #452	C₂×D₅	semidirect
884. #452	C₂×D₅	semidirect
885. #452	C₂×D₅	semidirect
886. #452	C₂×D₅	semidirect
915. C₄×D₈	C₂×D₅	semidirect
923. C₈×D₄	C₂×D₅	semidirect
1801. C₅	#61613	semidirect

Maximal subgroups

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

subgroup	index
#10618601	2
#10618591	2
C₅×#3283	2
#10615656	2
#10615650	2
#10615643	2
#10615642	2
#10615253	2
#10615244	2
#10613536	2
#10613535	2
#10612508	2
#10612507	2
#10612498	2
#10612495	2
#10612183	2
#10612175	2
#10612168	2
#10612144	2
#10611999	2
#10611998	2
#10611991	2
#10611981	2
#10611968	2
#10611967	2
#10611960	2
#10611959	2
#10611342	2
#10611325	2
#10611171	2
#10611159	2
#61613	5