Subgroups — #12991459

Order 1280.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618727	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618617	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3300	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615333	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615276	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613374	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613363	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613276	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613224	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613036	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612999	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612946	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612943	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612505	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612477	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612408	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612371	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612328	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612319	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612000	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611952	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611938	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611909	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611478	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611441	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611166	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611136	C₂	1	1	yes	maximal, characteristic, complemented
28	#10610592	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610581	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#65107	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610538	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#552	C₂²	1	1	yes	characteristic
33	C₅×#548	C₂²	1	1	yes	characteristic
34	#66166	C₂²	1	1	yes	characteristic, complemented
35	#66158	C₂²	1	1	yes	characteristic, complemented
36	C₂×#4096	C₂²	1	1	yes	characteristic
37	#66151	C₂²	1	1	yes	characteristic
38	C₂×#4090	C₂²	1	1	yes	characteristic
39	C₂²×#688	C₂²	1	1	yes	characteristic
40	C₂×#4065	C₂²	1	1	yes	characteristic
41	C₂×#4062	C₂²	1	1	yes	characteristic
42	C₂×#4050	C₂²	1	1	yes	characteristic
43	C₂²×#677	C₂²	1	1	yes	characteristic
44	#66043	—	2	1	no	—
45	#66040	—	2	1	no	—
46	#66027	—	2	1	no	—
47	#66025	—	2	1	no	—
48	#66025	C₂²	1	1	yes	characteristic
49	#66024	C₂²	1	1	yes	characteristic
50	#66005	C₂²	1	1	yes	characteristic, complemented
51	#66004	—	2	1	no	—
52	#66003	—	2	1	no	—
53	#66002	C₂²	1	1	yes	characteristic, complemented
54	#65992	—	2	1	no	—
55	#65990	—	2	1	no	—
56	#65974	—	2	1	no	—
57	#65970	—	2	1	no	—
58	#65965	C₂²	1	1	yes	characteristic
59	#65965	C₂²	1	1	yes	characteristic, complemented
60	#65964	C₂²	1	1	yes	characteristic
61	#65958	C₂²	1	1	yes	characteristic
62	#65956	C₂²	1	1	yes	characteristic
63	#65956	C₂²	1	1	yes	characteristic, complemented
64	#65935	—	2	1	no	—
65	#65932	C₂²	1	1	yes	characteristic
66	#65931	—	2	1	no	—
67	#65930	C₂²	1	1	yes	characteristic
68	#65912	C₂²	1	1	yes	characteristic, complemented
69	C₄×#713	C₂²	1	1	yes	characteristic
70	#65902	C₂²	1	1	yes	characteristic
71	#65902	C₂²	1	1	yes	characteristic, complemented
72	#65886	C₂²	1	1	yes	characteristic
73	#65884	C₂²	1	1	yes	characteristic
74	#65880	—	2	1	no	—
75	#65874	—	2	1	no	—
76	C₄×#711	C₂²	1	1	yes	characteristic
77	#65866	C₂²	1	1	yes	characteristic
78	#65861	—	2	1	no	—
79	#65856	C₂²	1	1	yes	characteristic
80	D₅×#117	—	2	1	no	—
81	#65847	C₂²	1	1	yes	characteristic
82	C₂×#4039	C₂²	1	1	yes	characteristic
83	C₅×#488	C₂²	1	1	yes	characteristic, complemented
84	C₅×#485	C₂²	1	1	yes	characteristic, complemented
85	C₅×#480	C₂²	1	1	yes	characteristic
86	C₅×#479	C₂²	1	1	yes	characteristic, complemented
87	C₅×#467	C₂²	1	1	yes	characteristic, complemented
88	C₅×#465	C₂²	1	1	yes	characteristic
89	C₅×#464	C₂²	1	1	yes	characteristic, complemented
90	C₅×#452	C₂²	1	1	yes	characteristic, complemented
91	C₅×#451	C₂²	1	1	yes	characteristic
92	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic, complemented
93	C₅×C₈×D₄	C₂²	1	1	yes	characteristic
94	C₅×#416	C₂²	1	1	yes	characteristic, complemented
95	C₂×C₅×#103	C₂²	1	1	yes	characteristic
96	#65527	C₂²	1	1	yes	characteristic
97	#65517	C₂²	1	1	yes	characteristic
98	#65480	C₂²	1	1	yes	characteristic
99	#65476	C₂²	1	1	yes	characteristic
100	#65474	C₂²	1	1	yes	characteristic
101	#65471	C₂²	1	1	yes	characteristic, complemented
102	#65471	C₂²	1	1	yes	characteristic, complemented
103	#65470	C₂²	1	1	yes	characteristic, complemented
104	#65470	C₂²	1	1	yes	characteristic, complemented
105	#65457	C₂²	1	1	yes	characteristic
106	#65452	C₂²	1	1	yes	characteristic, complemented
107	#65451	C₂²	1	1	yes	characteristic, complemented
108	#65403	C₂²	1	1	yes	characteristic
109	#65403	C₂²	1	1	yes	characteristic
110	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
111	C₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic, complemented
112	C₂×#3946	C₂²	1	1	yes	characteristic
113	C₂×#3946	C₂²	1	1	yes	characteristic, complemented
114	#65357	C₂²	1	1	yes	characteristic, complemented
115	#65352	C₂²	1	1	yes	characteristic, complemented
116	#65348	C₂²	1	1	yes	characteristic
117	#65346	C₂²	1	1	yes	characteristic
118	#65340	C₂²	1	1	yes	characteristic, complemented
119	#65339	C₂²	1	1	yes	characteristic
120	#65337	C₂²	1	1	yes	characteristic
121	#65337	C₂²	1	1	yes	characteristic
122	#65336	C₂²	1	1	yes	characteristic
123	#65336	C₂²	1	1	yes	characteristic, complemented
124	#65330	C₂²	1	1	yes	characteristic
125	#65325	C₂²	1	1	yes	characteristic
126	C₄×#689	C₂²	1	1	yes	characteristic, complemented
127	#65317	C₂²	1	1	yes	characteristic
128	#65317	C₂²	1	1	yes	characteristic, complemented
129	C₄×#688	C₂²	1	1	yes	characteristic
130	D₄×#168	C₂²	1	1	yes	characteristic
131	#65291	C₂²	1	1	yes	characteristic, complemented
132	#65285	C₂²	1	1	yes	characteristic, complemented
133	C₂×#3942	C₂²	1	1	yes	characteristic
134	#65256	C₂²	1	1	yes	characteristic
135	#65179	C₂²	1	1	yes	characteristic
136	#65179	C₂²	1	1	yes	characteristic
137	#65177	C₂²	1	1	yes	characteristic, complemented
138	#65176	C₂²	1	1	yes	characteristic, complemented
139	#65166	C₂²	1	1	yes	characteristic, complemented
140	#65162	C₂²	1	1	yes	characteristic, complemented
141	#65161	C₂²	1	1	yes	characteristic
142	#65161	C₂²	1	1	yes	characteristic
143	#65159	C₂²	1	1	yes	characteristic, complemented
144	#65153	C₂²	1	1	yes	characteristic
145	#65143	C₂²	1	1	yes	characteristic, complemented
146	#65141	C₂²	1	1	yes	characteristic
147	#65134	C₂²	1	1	yes	characteristic
148	#65133	C₂²	1	1	yes	characteristic
149	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
150	#65119	C₂²	1	1	yes	characteristic, complemented
151	#65108	C₂²	1	1	yes	characteristic
152	#65107	C₂²	1	1	yes	characteristic
153	#65107	C₂²	1	1	yes	characteristic
154	#65107	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65107	C₂²	1	1	yes	characteristic
157	#65107	C₂²	1	1	yes	characteristic
158	#65107	C₂²	1	1	yes	characteristic
159	#65107	C₂²	1	1	yes	characteristic
160	#65107	C₂²	1	1	yes	characteristic, complemented
161	#65104	C₂²	1	1	yes	characteristic, complemented
162	#65102	C₂²	1	1	yes	characteristic, complemented
163	#65100	C₂²	1	1	yes	characteristic
164	#65099	C₂²	1	1	yes	characteristic
165	#65099	C₂²	1	1	yes	characteristic, complemented
166	#65096	C₂²	1	1	yes	characteristic
167	#65093	C₂²	1	1	yes	characteristic, complemented
168	#65089	C₂²	1	1	yes	characteristic, complemented
169	#65088	C₂²	1	1	yes	characteristic, complemented
170	#65087	C₂²	1	1	yes	characteristic
171	#65087	C₂²	1	1	yes	characteristic, complemented
172	#65082	C₂²	1	1	yes	characteristic, complemented
173	#65082	C₂²	1	1	yes	characteristic, complemented
174	#65081	C₂²	1	1	yes	characteristic, complemented
175	#65081	C₂²	1	1	yes	characteristic, complemented
176	#65080	C₂²	1	1	yes	characteristic, complemented
177	#65079	C₂²	1	1	yes	characteristic, complemented
178	#65077	C₂²	1	1	yes	characteristic
179	#65076	C₂²	1	1	yes	characteristic
180	#65075	C₂²	1	1	yes	characteristic
181	#65075	C₂²	1	1	yes	characteristic
182	#65072	C₂²	1	1	yes	characteristic, complemented
183	#65070	C₂²	1	1	yes	characteristic
184	#65061	C₂²	1	1	yes	characteristic, complemented
185	#65057	C₂²	1	1	yes	characteristic, complemented
186	#65056	C₂²	1	1	yes	characteristic, complemented
187	#65051	C₂²	1	1	yes	characteristic, complemented
188	#65050	C₂²	1	1	yes	characteristic, complemented
189	#65045	C₂²	1	1	yes	characteristic
190	#65045	C₂²	1	1	yes	characteristic
191	#65028	C₂²	1	1	yes	characteristic
192	#65023	C₂²	1	1	yes	characteristic
193	#65022	C₂²	1	1	yes	characteristic
194	#65021	C₂²	1	1	yes	characteristic
195	#65014	C₂²	1	1	yes	characteristic
196	#65014	C₂²	1	1	yes	characteristic, complemented
197	#65007	C₂²	1	1	yes	characteristic
198	#65007	C₂²	1	1	yes	characteristic, complemented
199	#64985	C₂²	1	1	yes	characteristic
200	C₄×#677	C₂²	1	1	yes	characteristic
201	#64974	C₂²	1	1	yes	characteristic, complemented
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic, complemented
203	#61950	—	5	1	no	maximal, Sylow
204	C₂×C₅×#41	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂×#713	C₂³	1	1	yes	characteristic
207	C₂×#713	C₂³	1	1	yes	characteristic
208	C₂×#711	—	2	1	no	—
209	C₂×#711	D₄	1	1	yes	characteristic
210	C₂×#711	C₂³	1	1	yes	characteristic
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂×#709	C₂³	1	1	yes	characteristic
213	C₂²×D₂₀	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₅	—	2	1	no	—
215	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
216	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
220	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
221	C₅×#126	—	2	1	no	—
222	C₅×#125	—	2	1	no	—
223	C₅×#125	C₂³	1	1	yes	characteristic
224	C₅×#124	—	2	1	no	—
225	C₅×#124	C₂³	1	1	yes	characteristic
226	C₅×#123	—	2	1	no	—
227	C₅×C₂²⋊Q₈	—	2	1	no	—
228	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
229	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₅×#121	—	2	1	no	—
232	C₅×#121	C₂³	1	1	yes	characteristic
233	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×D₄	—	2	1	no	—
236	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
237	C₅×#117	—	2	1	no	—
238	C₅×#117	C₂³	1	1	yes	characteristic
239	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	#4096	—	4	2	no	—
241	#4093	—	2	1	no	—
242	#4093	C₂³	1	1	yes	characteristic
243	#4093	C₂³	1	1	yes	characteristic
244	#4092	—	2	1	no	—
245	#4092	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	#4090	—	2	1	no	—
249	#4090	—	2	1	no	—
250	#4090	C₂³	1	1	yes	characteristic
251	#4090	C₂³	1	1	yes	characteristic
252	#4090	C₂³	1	1	yes	characteristic
253	#4090	C₂³	1	1	yes	characteristic
254	#4090	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#689	C₂³	1	1	yes	characteristic
258	C₂×#689	C₂³	1	1	yes	characteristic
259	C₂×#688	—	4	2	no	—
260	C₂×#688	C₂³	1	1	yes	characteristic
261	C₂×#688	C₂³	1	1	yes	characteristic
262	C₂×#688	C₂³	1	1	yes	characteristic
263	C₂×#688	C₂³	1	1	yes	characteristic
264	C₂×#688	C₂³	1	1	yes	characteristic
265	#4086	C₂³	1	1	yes	characteristic
266	#4085	—	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	#4083	—	2	1	no	—
273	#4082	C₂³	1	1	yes	characteristic
274	#4081	—	2	1	no	—
275	D₄×Dic₅	—	2	1	no	—
276	D₄×Dic₅	D₄	1	1	yes	characteristic
277	D₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	C₂×#686	C₂³	1	1	yes	characteristic
281	#4076	—	2	1	no	—
282	#4076	C₂³	1	1	yes	characteristic
283	#4076	C₂³	1	1	yes	characteristic
284	#4075	—	2	1	no	—
285	#4075	—	2	1	no	—
286	C₄×C₂²⋊D₅	—	2	1	no	—
287	C₄×C₂²⋊D₅	—	2	1	no	—
288	C₄×C₂²⋊D₅	—	2	1	no	—
289	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
290	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
291	C₂×#685	—	2	1	no	—
292	#4072	—	2	1	no	—
293	#4070	C₂³	1	1	yes	characteristic
294	#4070	C₂³	1	1	yes	characteristic
295	C₂×#683	—	2	1	no	—
296	C₂×#683	—	2	1	no	—
297	C₂×#683	—	2	1	no	—
298	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
300	C₂²×#168	C₂³	1	1	yes	characteristic
301	C₂²×#168	C₂³	1	1	yes	characteristic
302	#4065	—	4	2	no	—
303	#4062	—	4	2	no	—
304	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
305	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
306	#4050	—	4	2	no	—
307	C₂×D₄₀	C₂³	1	1	yes	characteristic
308	C₂×D₄₀	C₂³	1	1	yes	characteristic
309	C₂×#677	—	4	2	no	—
310	C₂×#677	C₂³	1	1	yes	characteristic
311	C₂×#677	C₂³	1	1	yes	characteristic
312	C₂×#677	C₂³	1	1	yes	characteristic
313	C₂×#677	C₂³	1	1	yes	characteristic
314	C₂×#677	C₂³	1	1	yes	characteristic
315	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
316	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
317	#4044	—	2	1	no	—
318	#4044	—	2	1	no	—
319	#4044	—	2	1	no	—
320	#4044	—	2	1	no	—
321	#4044	—	2	1	no	—
322	#4043	—	2	1	no	—
323	#4043	C₂³	1	1	yes	characteristic
324	#4043	C₂³	1	1	yes	characteristic
325	#4042	—	2	1	no	—
326	#4042	—	2	1	no	—
327	#4042	—	2	1	no	—
328	#4042	—	2	1	no	—
329	#4042	—	2	1	no	—
330	#4042	—	2	1	no	—
331	#4041	—	2	1	no	—
332	#4041	C₂³	1	1	yes	characteristic
333	#4040	—	2	1	no	—
334	#4040	—	2	1	no	—
335	#4040	—	2	1	no	—
336	#4040	—	2	1	no	—
337	#4040	—	2	1	no	—
338	#4039	—	2	1	no	—
339	#4039	—	2	1	no	—
340	#4039	—	2	1	no	—
341	#4039	—	2	1	no	—
342	#4039	C₂³	1	1	yes	characteristic
343	#4039	C₂³	1	1	yes	characteristic
344	#4039	C₂³	1	1	yes	characteristic
345	#4039	C₂³	1	1	yes	characteristic
346	#4039	C₂³	1	1	yes	characteristic
347	#4039	C₂³	1	1	yes	characteristic
348	#4038	—	2	1	no	—
349	#4038	—	2	1	no	—
350	#4038	—	2	1	no	—
351	#4038	D₄	1	1	yes	characteristic
352	#4038	C₂³	1	1	yes	characteristic
353	D₅×C₄⋊C₄	—	2	1	no	—
354	D₅×C₄⋊C₄	—	2	1	no	—
355	D₅×C₄⋊C₄	—	2	1	no	—
356	#4036	C₂³	1	1	yes	characteristic
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4034	C₂³	1	1	yes	characteristic
362	#4034	C₂³	1	1	yes	characteristic
363	#4033	—	2	1	no	—
364	#4033	—	2	1	no	—
365	#4033	D₄	1	1	yes	characteristic
366	#4033	C₂³	1	1	yes	characteristic
367	#4033	C₂³	1	1	yes	characteristic
368	#4033	C₂³	1	1	yes	characteristic
369	#4032	—	2	1	no	—
370	#4031	—	2	1	no	—
371	#4031	—	2	1	no	—
372	#4031	—	2	1	no	—
373	#4031	—	2	1	no	—
374	#4030	—	2	1	no	—
375	#4030	—	2	1	no	—
376	#4030	—	2	1	no	—
377	#4030	—	2	1	no	—
378	#4030	—	2	1	no	—
379	#4030	—	2	1	no	—
380	#4029	—	2	1	no	—
381	#4029	—	2	1	no	—
382	#4028	—	2	1	no	—
383	#4027	—	2	1	no	—
384	#4027	—	2	1	no	—
385	#4027	—	2	1	no	—
386	#4027	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	D₄	1	1	yes	characteristic
391	#4027	D₄	1	1	yes	characteristic
392	D₅×C₂²⋊C₄	—	2	1	no	—
393	D₅×C₂²⋊C₄	—	2	1	no	—
394	#4025	—	2	1	no	—
395	#4025	—	2	1	no	—
396	#4024	—	2	1	no	—
397	#4024	—	2	1	no	—
398	#4024	—	2	1	no	—
399	#4024	—	2	1	no	—
400	#4023	—	2	1	no	—
401	#4023	—	2	1	no	—
402	#4023	—	2	1	no	—
403	#4023	D₄	1	1	yes	characteristic
404	#4023	D₄	1	1	yes	characteristic
405	#4022	—	2	1	no	—
406	#4022	—	2	1	no	—
407	#4021	—	2	1	no	—
408	#4021	C₂³	1	1	yes	characteristic
409	#4021	C₂³	1	1	yes	characteristic
410	C₄×D₂₀	—	2	1	no	—
411	C₄×D₂₀	C₂³	1	1	yes	characteristic
412	#4018	—	2	1	no	—
413	#4018	—	2	1	no	—
414	#4018	—	2	1	no	—
415	#4018	—	2	1	no	—
416	#4018	—	2	1	no	—
417	C₄²×D₅	—	2	1	no	—
418	C₄²×D₅	—	2	1	no	—
419	C₄²×D₅	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	—	2	1	no	—
421	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
422	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
423	C₅×#107	C₂³	1	1	yes	characteristic
424	C₅×#107	C₂³	1	1	yes	characteristic
425	C₅×#106	C₂³	1	1	yes	characteristic
426	C₅×C₄⋊C₈	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×#103	C₂³	1	1	yes	characteristic
431	C₅×#103	C₂³	1	1	yes	characteristic
432	C₅×#103	C₂³	1	1	yes	characteristic
433	C₅×#103	C₂³	1	1	yes	characteristic
434	C₅×#102	C₂³	1	1	yes	characteristic
435	C₅×#102	C₂³	1	1	yes	characteristic
436	C₅×#102	C₂³	1	1	yes	characteristic
437	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
438	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₄×C₅×C₈	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	C₂²⋊#168	C₂³	1	1	yes	characteristic
445	C₂²⋊#168	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3953	C₂³	1	1	yes	characteristic
448	#3953	C₂³	1	1	yes	characteristic
449	#3952	C₂³	1	1	yes	characteristic
450	#3952	C₂³	1	1	yes	characteristic
451	#3949	C₂³	1	1	yes	characteristic
452	#3948	C₂³	1	1	yes	characteristic
453	#3948	C₂³	1	1	yes	characteristic
454	#3948	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	#3946	C₂³	1	1	yes	characteristic
460	#3946	C₂³	1	1	yes	characteristic
461	#3946	C₂³	1	1	yes	characteristic
462	#3946	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	C₈×Dic₅	C₂³	1	1	yes	characteristic
466	C₈×Dic₅	C₂³	1	1	yes	characteristic
467	#3942	C₂³	1	1	yes	characteristic
468	#3942	C₂³	1	1	yes	characteristic
469	#3942	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	#3942	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	#3940	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	C₂³	1	1	yes	characteristic
482	#3939	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄×#168	C₂³	1	1	yes	characteristic
485	#3511	—	5	1	no	—
486	#3475	—	5	1	no	—
487	#3393	—	5	1	no	—
488	#3393	—	5	1	no	—
489	#3360	—	5	1	no	—
490	#3360	—	5	1	no	—
491	#3303	—	5	1	no	—
492	#3303	—	5	1	no	—
493	#3300	—	5	1	no	—
494	#3300	—	5	1	no	—
495	#3300	—	5	1	no	—
496	#3300	D₅	1	1	yes	characteristic, complemented
497	#3283	—	5	1	no	—
498	#3283	—	5	1	no	—
499	#3282	—	5	1	no	—
500	#3282	—	5	1	no	—
501	#3282	—	5	1	no	—
502	#3282	—	5	1	no	—
503	#3248	—	5	1	no	—
504	#3248	—	5	1	no	—
505	#3246	—	5	1	no	—
506	#3212	—	5	1	no	—
507	#3212	—	5	1	no	—
508	#3209	—	5	1	no	—
509	#3107	—	5	1	no	—
510	#3107	—	5	1	no	—
511	#3100	—	5	1	no	—
512	#3035	—	5	1	no	—
513	#3035	—	5	1	no	—
514	C₂×#461	—	5	1	no	—
515	#2988	—	5	1	no	—
516	C₂³×D₅	—	2	1	no	—
517	C₅×#41	—	4	1	no	—
518	C₅×#41	—	4	1	no	—
519	C₂×C₅×Q₈	—	2	1	no	—
520	C₂×C₅×Q₈	—	4	1	no	—
521	C₂×C₅×Q₈	—	4	1	no	—
522	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
523	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
524	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
525	C₂×C₅×D₄	—	2	1	no	—
526	C₂×C₅×D₄	—	2	1	no	—
527	C₂×C₅×D₄	C₂×D₄	1	1	yes	characteristic
528	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₅	—	2	1	no	—
530	C₂²×C₄×C₅	—	2	1	no	—
531	C₂²×C₄×C₅	—	2	1	no	—
532	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
534	C₂×C₂²⋊D₅	—	2	1	no	—
535	C₂×C₂²⋊D₅	—	2	1	no	—
536	C₂×C₂²⋊D₅	—	2	1	no	—
537	C₂×C₂²⋊D₅	—	2	1	no	—
538	C₂×C₂²⋊D₅	—	2	1	no	—
539	C₂×C₂²⋊D₅	—	2	1	no	—
540	C₂×C₂²⋊D₅	—	2	1	no	—
541	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
542	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
543	C₂²×Dic₅	—	2	1	no	—
544	C₂²×Dic₅	—	2	1	no	—
545	C₂²×Dic₅	—	2	1	no	—
546	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
547	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
548	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
549	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
550	#713	—	2	2	no	—
551	#713	—	4	1	no	—
552	#713	—	4	1	no	—
553	#713	—	4	1	no	—
554	#711	—	2	4	no	—
555	#711	—	4	1	no	—
556	#711	—	4	1	no	—
557	#711	—	4	4	no	—
558	#709	—	2	2	no	—
559	#709	—	4	1	no	—
560	#709	—	4	1	no	—
561	#709	—	4	1	no	—
562	C₂×D₂₀	—	2	2	no	—
563	C₂×D₂₀	—	2	1	no	—
564	C₂×D₂₀	—	2	1	no	—
565	C₂×D₂₀	—	2	1	no	—
566	C₂×D₂₀	—	2	1	no	—
567	C₂×D₂₀	—	4	1	no	—
568	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
569	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
570	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
571	C₂×C₄×D₅	—	2	1	no	—
572	C₂×C₄×D₅	—	2	1	no	—
573	C₂×C₄×D₅	—	2	1	no	—
574	C₂×C₄×D₅	—	2	1	no	—
575	C₂×C₄×D₅	—	2	1	no	—
576	C₂×C₄×D₅	—	2	1	no	—
577	C₂×C₄×D₅	—	2	1	no	—
578	C₂×C₄×D₅	—	2	1	no	—
579	C₂×C₄×D₅	—	2	1	no	—
580	C₂×C₄×D₅	—	2	1	no	—
581	C₂×C₄×D₅	—	2	1	no	—
582	C₂×C₄×D₅	—	4	4	no	—
583	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
584	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
585	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
586	C₂×Dic₁₀	—	2	1	no	—
587	C₂×Dic₁₀	—	2	1	no	—
588	C₂×Dic₁₀	—	2	1	no	—
589	C₂×Dic₁₀	—	4	1	no	—
590	C₂×Dic₁₀	—	4	1	no	—
591	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
592	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
593	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
594	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
595	C₅×Q₁₆	—	4	1	no	—
596	C₅×Q₁₆	—	4	1	no	—
597	C₅×SD₁₆	—	4	1	no	—
598	C₂×C₅×C₈	—	4	1	no	—
599	C₂×C₅×C₈	—	4	1	no	—
600	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
601	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
602	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
603	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
604	C₅×C₄⋊C₄	—	2	1	no	—
605	C₅×C₄⋊C₄	—	2	1	no	—
606	C₅×C₄⋊C₄	—	2	1	no	—
607	C₅×C₄⋊C₄	—	2	1	no	—
608	C₅×C₄⋊C₄	—	2	1	no	—
609	C₅×C₄⋊C₄	—	2	1	no	—
610	C₅×C₄⋊C₄	—	2	1	no	—
611	C₅×C₄⋊C₄	—	2	1	no	—
612	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
613	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
614	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
615	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
616	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
617	C₅×C₂²⋊C₄	—	2	1	no	—
618	C₅×C₂²⋊C₄	—	2	1	no	—
619	C₅×C₂²⋊C₄	—	2	1	no	—
620	C₅×C₂²⋊C₄	—	2	1	no	—
621	C₅×C₂²⋊C₄	—	2	1	no	—
622	C₅×C₂²⋊C₄	—	2	1	no	—
623	C₅×C₂²⋊C₄	—	2	1	no	—
624	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
625	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
626	C₄²×C₅	—	2	1	no	—
627	C₄²×C₅	—	2	1	no	—
628	C₄²×C₅	—	2	1	no	—
629	C₄²×C₅	C₂⁴	1	1	yes	characteristic
630	C₂²⋊Dic₅	—	2	1	no	—
631	C₂²⋊Dic₅	—	2	1	no	—
632	C₂²⋊Dic₅	—	2	1	no	—
633	C₂²⋊Dic₅	—	2	1	no	—
634	C₂²⋊Dic₅	—	2	1	no	—
635	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
636	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
637	#689	—	4	1	no	—
638	#689	—	4	1	no	—
639	#689	—	4	1	no	—
640	#689	—	4	1	no	—
641	#688	—	2	2	no	—
642	#688	—	2	2	no	—
643	#688	—	4	1	no	—
644	#688	—	4	1	no	—
645	#688	—	4	1	no	—
646	#687	—	4	1	no	—
647	#686	—	2	2	no	—
648	#686	—	4	1	no	—
649	#685	—	2	1	no	—
650	#685	—	2	1	no	—
651	#685	—	2	1	no	—
652	#685	—	2	1	no	—
653	#685	—	2	1	no	—
654	#685	—	2	1	no	—
655	#685	—	2	1	no	—
656	#685	—	2	1	no	—
657	#685	—	2	1	no	—
658	#685	—	2	1	no	—
659	#685	—	2	1	no	—
660	#685	—	2	1	no	—
661	#685	—	2	1	no	—
662	#685	—	2	1	no	—
663	#685	—	2	1	no	—
664	#685	—	2	1	no	—
665	#685	—	2	1	no	—
666	#685	—	2	1	no	—
667	#685	—	2	1	no	—
668	#685	—	2	1	no	—
669	#685	—	2	1	no	—
670	#685	—	2	1	no	—
671	#685	C₂×D₄	1	1	yes	characteristic
672	#685	C₂×D₄	1	1	yes	characteristic
673	C₄⋊Dic₅	—	2	1	no	—
674	C₄⋊Dic₅	—	2	1	no	—
675	C₄⋊Dic₅	—	2	1	no	—
676	C₄⋊Dic₅	—	2	1	no	—
677	C₄⋊Dic₅	—	2	1	no	—
678	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
679	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
680	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
681	#683	—	2	1	no	—
682	#683	—	2	1	no	—
683	#683	—	2	1	no	—
684	#683	—	2	1	no	—
685	#683	—	2	1	no	—
686	#683	—	2	1	no	—
687	#683	—	2	1	no	—
688	#683	—	2	1	no	—
689	#683	—	2	1	no	—
690	#683	—	2	1	no	—
691	#683	—	2	1	no	—
692	#683	—	2	1	no	—
693	#683	—	2	1	no	—
694	#683	—	2	1	no	—
695	#683	—	2	1	no	—
696	#683	—	2	1	no	—
697	#683	—	2	1	no	—
698	#683	—	2	1	no	—
699	#683	—	2	1	no	—
700	#683	—	2	1	no	—
701	#683	C₂×D₄	1	1	yes	characteristic
702	#683	C₂×D₄	1	1	yes	characteristic
703	#683	C₂×D₄	1	1	yes	characteristic
704	#683	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	—	2	1	no	—
706	C₄×Dic₅	—	2	1	no	—
707	C₄×Dic₅	—	2	1	no	—
708	C₄×Dic₅	—	2	1	no	—
709	C₄×Dic₅	—	2	1	no	—
710	C₄×Dic₅	—	2	1	no	—
711	C₄×Dic₅	—	2	1	no	—
712	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
713	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
714	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
715	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
716	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
719	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
720	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
721	C₂×#168	—	4	1	no	—
722	C₂×#168	—	4	1	no	—
723	C₂×#168	C₂⁴	1	1	yes	characteristic
724	C₂×#168	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	Dic₂₀	—	4	1	no	—
728	Dic₂₀	—	4	1	no	—
729	D₄₀	—	2	2	no	—
730	D₄₀	—	4	1	no	—
731	#677	—	2	2	no	—
732	#677	—	2	2	no	—
733	#677	—	4	1	no	—
734	#677	—	4	1	no	—
735	#677	—	4	1	no	—
736	C₈×D₅	—	4	1	no	—
737	C₈×D₅	—	4	1	no	—
738	C₂×#135	—	5	1	no	—
739	C₂×#135	—	5	1	no	—
740	C₂×#135	—	5	1	no	—
741	C₂×#135	—	5	1	no	—
742	C₂²×SD₁₆	—	5	1	no	—
743	C₂²×SD₁₆	—	5	1	no	—
744	#556	—	5	1	no	—
745	#556	—	5	1	no	—
746	#556	—	5	1	no	—
747	#555	—	5	1	no	—
748	#555	—	10	1	no	—
749	#554	—	5	1	no	—
750	#554	—	10	1	no	—
751	#553	—	10	1	no	—
752	#553	—	10	1	no	—
753	#553	—	10	1	no	—
754	#552	—	5	1	no	—
755	#552	—	10	1	no	—
756	#552	C₂×D₅	1	1	yes	characteristic
757	#551	—	10	1	no	—
758	#551	—	10	1	no	—
759	#548	—	5	1	no	—
760	#548	—	5	1	no	—
761	#548	—	5	1	no	—
762	#548	C₂×D₅	1	1	yes	characteristic
763	#547	—	5	1	no	—
764	#547	—	5	1	no	—
765	#547	—	5	1	no	—
766	#546	—	5	1	no	—
767	#546	—	5	1	no	—
768	#542	—	10	1	no	—
769	#542	—	10	1	no	—
770	#537	—	10	1	no	—
771	#533	—	5	1	no	—
772	#533	—	5	1	no	—
773	#533	—	5	1	no	—
774	#532	—	5	1	no	—
775	#532	—	5	1	no	—
776	#532	—	5	1	no	—
777	C₂×C₄⋊Q₈	—	5	1	no	—
778	#529	—	5	1	no	—
779	#529	—	5	1	no	—
780	#529	—	10	1	no	—
781	#529	—	10	1	no	—
782	#525	—	10	1	no	—
783	#520	—	10	1	no	—
784	C₄×#41	—	5	1	no	—
785	C₄×#41	—	5	1	no	—
786	C₄×#41	—	5	1	no	—
787	C₂×C₄×D₄	—	5	1	no	—
788	C₂×#117	—	10	1	no	—
789	#495	—	5	1	no	—
790	#495	—	5	1	no	—
791	#495	—	5	1	no	—
792	#495	—	5	1	no	—
793	#494	—	5	1	no	—
794	#494	—	5	1	no	—
795	#488	—	5	1	no	—
796	#488	—	5	1	no	—
797	#488	—	5	1	no	—
798	#488	C₂×D₅	1	1	yes	characteristic, complemented
799	#487	—	5	1	no	—
800	#487	—	5	1	no	—
801	#485	—	5	1	no	—
802	#485	—	5	1	no	—
803	#485	—	5	1	no	—
804	#485	C₂×D₅	1	1	yes	characteristic, complemented
805	#480	—	5	1	no	—
806	#480	C₂×D₅	1	1	yes	characteristic
807	#479	—	5	1	no	—
808	#479	—	5	1	no	—
809	#479	—	5	1	no	—
810	#479	C₂×D₅	1	1	yes	characteristic, complemented
811	#476	—	5	1	no	—
812	#476	—	5	1	no	—
813	#475	—	5	1	no	—
814	#475	—	5	1	no	—
815	#474	—	5	1	no	—
816	#474	—	5	1	no	—
817	#467	—	5	1	no	—
818	#467	—	5	1	no	—
819	#467	—	5	1	no	—
820	#467	C₂×D₅	1	1	yes	characteristic, complemented
821	#465	—	5	1	no	—
822	#465	—	5	1	no	—
823	#465	—	5	1	no	—
824	#465	—	5	1	no	—
825	#465	—	5	1	no	—
826	#465	—	5	1	no	—
827	#465	—	5	1	no	—
828	#465	C₂×D₅	1	1	yes	characteristic
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	—	5	1	no	—
833	#464	—	5	1	no	—
834	#464	—	5	1	no	—
835	#464	—	5	1	no	—
836	#464	C₂×D₅	1	1	yes	characteristic, complemented
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#463	—	5	1	no	—
841	#462	—	5	1	no	—
842	#462	—	5	1	no	—
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#461	—	5	1	no	—
846	#461	—	5	1	no	—
847	#461	—	5	1	no	—
848	#461	—	5	1	no	—
849	#461	—	5	1	no	—
850	#461	—	5	1	no	—
851	#461	—	5	1	no	—
852	#461	—	5	1	no	—
853	#461	—	5	1	no	—
854	#461	—	5	1	no	—
855	#460	—	5	1	no	—
856	#460	—	5	1	no	—
857	#459	—	5	1	no	—
858	#459	—	5	1	no	—
859	#452	—	5	1	no	—
860	#452	—	5	1	no	—
861	#452	—	5	1	no	—
862	#452	—	5	1	no	—
863	#452	—	5	1	no	—
864	#452	—	5	1	no	—
865	#452	—	5	1	no	—
866	#452	C₂×D₅	1	1	yes	characteristic, complemented
867	#451	—	5	1	no	—
868	#451	—	5	1	no	—
869	#451	—	5	1	no	—
870	#451	C₂×D₅	1	1	yes	characteristic
871	#449	—	5	1	no	—
872	#449	—	5	1	no	—
873	#449	—	5	1	no	—
874	#449	—	5	1	no	—
875	#447	—	5	1	no	—
876	#447	—	5	1	no	—
877	C₈×Q₈	—	5	1	no	—
878	C₈×Q₈	—	5	1	no	—
879	C₄×Q₁₆	—	5	1	no	—
880	C₄×Q₁₆	—	5	1	no	—
881	C₄×Q₁₆	—	5	1	no	—
882	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic, complemented
883	C₄×SD₁₆	—	5	1	no	—
884	C₄×SD₁₆	—	5	1	no	—
885	C₄×SD₁₆	—	5	1	no	—
886	C₄×SD₁₆	—	5	1	no	—
887	C₄×D₈	—	5	1	no	—
888	C₄×D₈	—	5	1	no	—
889	C₄×D₈	—	5	1	no	—
890	C₄×D₈	—	5	1	no	—
891	C₈×D₄	—	5	1	no	—
892	C₈×D₄	—	5	1	no	—
893	C₈×D₄	—	5	1	no	—
894	C₈×D₄	—	5	1	no	—
895	C₈×D₄	—	5	1	no	—
896	C₈×D₄	C₂×D₅	1	1	yes	characteristic
897	#431	—	5	1	no	—
898	#431	—	5	1	no	—
899	#431	—	5	1	no	—
900	C₂×C₄⋊C₈	—	5	1	no	—
901	C₂×C₄⋊C₈	—	5	1	no	—
902	C₂×C₄⋊C₈	—	5	1	no	—
903	#416	—	5	1	no	—
904	#416	—	5	1	no	—
905	#416	—	5	1	no	—
906	#416	C₂×D₅	1	1	yes	characteristic, complemented
907	C₂×#103	—	5	1	no	—
908	C₂×#103	C₂×D₅	1	1	yes	characteristic
909	C₂³×C₅	—	2	1	no	—
910	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂²×D₅	—	2	1	no	—
913	C₂²×D₅	—	2	1	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	4	2	no	—
916	C₂²×D₅	—	4	2	no	—
917	C₂²×D₅	—	8	1	no	—
918	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
919	C₅×Q₈	—	2	1	no	—
920	C₅×Q₈	—	2	1	no	—
921	C₅×Q₈	—	2	1	no	—
922	C₅×Q₈	—	2	1	no	—
923	C₅×Q₈	—	2	1	no	—
924	C₅×Q₈	—	2	1	no	—
925	C₅×Q₈	—	8	1	no	—
926	C₅×D₄	—	2	2	no	—
927	C₅×D₄	—	2	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	4	2	no	—
930	C₅×D₄	—	8	1	no	—
931	C₂×C₄×C₅	—	2	1	no	—
932	C₂×C₄×C₅	—	2	1	no	—
933	C₂×C₄×C₅	—	2	1	no	—
934	C₂×C₄×C₅	—	2	1	no	—
935	C₂×C₄×C₅	—	2	1	no	—
936	C₂×C₄×C₅	—	2	1	no	—
937	C₂×C₄×C₅	—	2	1	no	—
938	C₂×C₄×C₅	—	2	1	no	—
939	C₂×C₄×C₅	—	2	1	no	—
940	C₂×C₄×C₅	—	2	1	no	—
941	C₂×C₄×C₅	—	2	1	no	—
942	C₂×C₄×C₅	—	4	2	no	—
943	C₂×C₄×C₅	—	8	1	no	—
944	C₂×C₄×C₅	—	8	1	no	—
945	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
946	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
947	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
948	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
950	C₂²⋊D₅	—	2	2	no	—
951	C₂²⋊D₅	—	2	2	no	—
952	C₂²⋊D₅	—	4	2	no	—
953	C₂²⋊D₅	—	4	2	no	—
954	C₂²⋊D₅	—	4	2	no	—
955	C₂²⋊D₅	—	4	2	no	—
956	C₂²⋊D₅	—	8	1	no	—
957	C₂²⋊D₅	—	8	1	no	—
958	C₂²⋊D₅	—	8	1	no	—
959	C₂×Dic₅	—	2	2	no	—
960	C₂×Dic₅	—	2	1	no	—
961	C₂×Dic₅	—	2	1	no	—
962	C₂×Dic₅	—	2	1	no	—
963	C₂×Dic₅	—	2	1	no	—
964	C₂×Dic₅	—	2	1	no	—
965	C₂×Dic₅	—	4	1	no	—
966	C₂×Dic₅	—	4	1	no	—
967	C₂×Dic₅	—	4	2	no	—
968	C₂×Dic₅	—	8	1	no	—
969	C₂×Dic₅	—	8	1	no	—
970	C₂×Dic₅	#135	1	4	yes	complemented
971	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
972	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
973	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
974	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
975	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
976	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
977	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
978	D₂₀	—	2	1	no	—
979	D₂₀	—	2	1	no	—
980	D₂₀	—	2	1	no	—
981	D₂₀	—	2	1	no	—
982	D₂₀	—	2	1	no	—
983	D₂₀	—	4	2	no	—
984	D₂₀	—	4	2	no	—
985	D₂₀	—	8	1	no	—
986	D₂₀	—	8	1	no	—
987	D₂₀	H(5,𝔽₂)	1	2	yes	—
988	C₄×D₅	—	2	1	no	—
989	C₄×D₅	—	2	1	no	—
990	C₄×D₅	—	2	2	no	—
991	C₄×D₅	—	4	1	no	—
992	C₄×D₅	—	4	2	no	—
993	C₄×D₅	—	4	2	no	—
994	C₄×D₅	—	4	2	no	—
995	C₄×D₅	—	4	2	no	—
996	C₄×D₅	—	4	2	no	—
997	C₄×D₅	—	4	2	no	—
998	C₄×D₅	—	4	2	no	—
999	C₄×D₅	—	8	1	no	—
1000	C₄×D₅	—	8	1	no	—
1001	C₄×D₅	—	8	1	no	—
1002	C₄×D₅	—	8	1	no	—
1003	Dic₁₀	—	2	2	no	—
1004	Dic₁₀	—	2	1	no	—
1005	Dic₁₀	—	2	1	no	—
1006	Dic₁₀	—	2	1	no	—
1007	Dic₁₀	—	2	1	no	—
1008	Dic₁₀	—	2	1	no	—
1009	Dic₁₀	—	2	1	no	—
1010	Dic₁₀	—	4	2	no	—
1011	Dic₁₀	—	8	1	no	—
1012	Dic₁₀	—	8	1	no	—
1013	C₅×C₈	—	2	1	no	—
1014	C₅×C₈	—	2	1	no	—
1015	C₅×C₈	—	2	1	no	—
1016	C₅×C₈	—	2	1	no	—
1017	#168	—	2	1	no	—
1018	#168	—	2	1	no	—
1019	#168	—	2	1	no	—
1020	#168	—	2	1	no	—
1021	C₂×#41	—	5	1	no	—
1022	C₂×#41	—	5	1	no	—
1023	C₂×#41	—	5	1	no	—
1024	C₂×#41	—	5	1	no	—
1025	C₂×#41	—	5	1	no	—
1026	C₂×#41	—	5	1	no	—
1027	C₂×#41	—	10	1	no	—
1028	C₂×#41	C₂²×D₅	1	1	yes	characteristic
1029	C₂²×Q₈	—	5	1	no	—
1030	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
1031	C₂²×D₄	—	5	1	no	—
1032	C₂³×C₄	—	10	1	no	—
1033	#135	—	20	2	no	—
1034	#135	—	20	2	no	—
1035	#135	—	20	2	no	—
1036	#135	—	20	2	no	—
1037	C₂×Q₁₆	—	5	1	no	—
1038	C₂×Q₁₆	—	5	1	no	—
1039	C₂×Q₁₆	—	5	1	no	—
1040	C₂×Q₁₆	—	5	1	no	—
1041	C₂×Q₁₆	—	5	1	no	—
1042	C₂×Q₁₆	—	5	1	no	—
1043	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1044	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1045	C₂×SD₁₆	—	5	1	no	—
1046	C₂×SD₁₆	—	5	1	no	—
1047	C₂×SD₁₆	—	5	1	no	—
1048	C₂×SD₁₆	—	5	1	no	—
1049	C₂×SD₁₆	—	5	1	no	—
1050	C₂×SD₁₆	—	5	1	no	—
1051	C₂×SD₁₆	—	5	1	no	—
1052	C₂×SD₁₆	—	5	1	no	—
1053	C₂×SD₁₆	—	5	1	no	—
1054	C₂×SD₁₆	—	5	1	no	—
1055	C₂×SD₁₆	—	5	1	no	—
1056	C₂×SD₁₆	—	20	2	no	—
1057	C₂×SD₁₆	—	20	2	no	—
1058	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1059	C₂×D₈	—	5	1	no	—
1060	C₂×D₈	—	5	1	no	—
1061	C₂×D₈	—	5	1	no	—
1062	C₂×D₈	—	5	1	no	—
1063	C₂²×C₈	—	5	1	no	—
1064	C₂²×C₈	—	5	1	no	—
1065	C₂²×C₈	—	5	1	no	—
1066	C₂²×C₈	—	5	1	no	—
1067	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1068	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1069	C₄⋊Q₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	5	1	no	—
1072	C₄⋊Q₈	—	5	1	no	—
1073	C₄⋊Q₈	—	5	1	no	—
1074	C₄⋊Q₈	—	5	1	no	—
1075	C₄⋊Q₈	—	5	1	no	—
1076	C₄⋊Q₈	—	10	1	no	—
1077	C₄⋊Q₈	—	10	1	no	—
1078	#127	—	5	1	no	—
1079	#126	—	2	1	no	—
1080	#126	—	10	1	no	—
1081	#126	—	10	1	no	—
1082	#126	—	10	1	no	—
1083	#126	—	10	1	no	—
1084	#126	—	10	1	no	—
1085	#126	—	10	1	no	—
1086	#126	—	10	1	no	—
1087	#126	—	10	1	no	—
1088	#126	—	10	1	no	—
1089	#125	—	2	1	no	—
1090	#125	—	5	1	no	—
1091	#125	—	10	1	no	—
1092	#125	—	10	1	no	—
1093	#125	—	10	1	no	—
1094	#125	—	10	1	no	—
1095	#125	C₂²×D₅	1	1	yes	characteristic
1096	#124	—	2	1	no	—
1097	#124	—	5	1	no	—
1098	#124	—	5	1	no	—
1099	#124	—	5	1	no	—
1100	#124	—	5	1	no	—
1101	#124	—	5	1	no	—
1102	#124	—	10	1	no	—
1103	#124	—	10	1	no	—
1104	#124	—	10	1	no	—
1105	#124	—	10	1	no	—
1106	#124	—	10	1	no	—
1107	#124	—	10	1	no	—
1108	#124	C₂²×D₅	1	1	yes	characteristic
1109	#123	—	2	1	no	—
1110	#123	—	10	1	no	—
1111	#123	—	10	1	no	—
1112	#123	—	10	1	no	—
1113	#123	—	10	1	no	—
1114	#123	—	10	1	no	—
1115	#123	—	10	1	no	—
1116	#123	—	10	1	no	—
1117	#123	—	10	1	no	—
1118	#123	—	10	1	no	—
1119	#123	—	10	1	no	—
1120	#123	—	10	1	no	—
1121	C₂²⋊Q₈	—	2	1	no	—
1122	C₂²⋊Q₈	—	5	1	no	—
1123	C₂²⋊Q₈	—	5	1	no	—
1124	C₂²⋊Q₈	—	5	1	no	—
1125	C₂²⋊Q₈	—	5	1	no	—
1126	C₂²⋊Q₈	—	5	1	no	—
1127	C₂²⋊Q₈	—	10	1	no	—
1128	C₂²⋊Q₈	—	10	1	no	—
1129	C₂²⋊Q₈	—	10	1	no	—
1130	C₂²⋊Q₈	—	10	1	no	—
1131	C₂²⋊Q₈	—	10	1	no	—
1132	C₂²⋊Q₈	—	10	1	no	—
1133	C₂²⋊Q₈	—	10	1	no	—
1134	C₂²⋊Q₈	—	10	1	no	—
1135	C₂²⋊Q₈	—	10	1	no	—
1136	C₂²⋊Q₈	—	10	1	no	—
1137	C₂²⋊Q₈	—	10	1	no	—
1138	C₂²⋊Q₈	—	10	1	no	—
1139	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1141	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1142	#121	—	2	1	no	—
1143	#121	—	5	1	no	—
1144	#121	—	5	1	no	—
1145	#121	—	5	1	no	—
1146	#121	—	10	1	no	—
1147	#121	—	10	1	no	—
1148	#121	—	10	1	no	—
1149	#121	—	10	1	no	—
1150	#121	—	10	1	no	—
1151	#121	—	10	1	no	—
1152	#121	—	10	1	no	—
1153	#121	—	10	1	no	—
1154	#121	—	10	1	no	—
1155	#121	—	10	1	no	—
1156	#121	—	10	1	no	—
1157	#121	—	10	1	no	—
1158	#121	—	10	1	no	—
1159	#121	—	10	1	no	—
1160	#121	C₂²×D₅	1	1	yes	characteristic
1161	#120	—	10	1	no	—
1162	#120	—	10	1	no	—
1163	C₄×Q₈	—	5	1	no	—
1164	C₄×Q₈	—	5	1	no	—
1165	C₄×Q₈	—	5	1	no	—
1166	C₄×Q₈	—	5	1	no	—
1167	C₄×Q₈	—	5	1	no	—
1168	C₄×Q₈	—	5	1	no	—
1169	C₄×Q₈	—	5	1	no	—
1170	C₄×Q₈	—	5	1	no	—
1171	C₄×Q₈	—	10	1	no	—
1172	C₄×Q₈	—	10	1	no	—
1173	C₄×Q₈	—	10	1	no	—
1174	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1175	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1176	C₄×D₄	—	2	1	no	—
1177	C₄×D₄	—	5	1	no	—
1178	C₄×D₄	—	5	1	no	—
1179	C₄×D₄	—	5	1	no	—
1180	C₄×D₄	—	5	1	no	—
1181	C₄×D₄	—	5	1	no	—
1182	C₄×D₄	—	5	1	no	—
1183	C₄×D₄	—	5	1	no	—
1184	C₄×D₄	—	5	1	no	—
1185	C₄×D₄	—	5	1	no	—
1186	C₄×D₄	—	5	1	no	—
1187	C₄×D₄	—	5	1	no	—
1188	C₄×D₄	—	5	1	no	—
1189	C₄×D₄	—	5	1	no	—
1190	C₄×D₄	—	10	1	no	—
1191	C₄×D₄	—	10	1	no	—
1192	C₄×D₄	—	10	1	no	—
1193	C₄×D₄	—	10	1	no	—
1194	C₄×D₄	—	10	1	no	—
1195	C₄×D₄	—	10	1	no	—
1196	C₄×D₄	—	10	1	no	—
1197	C₄×D₄	—	10	1	no	—
1198	C₄×D₄	—	10	1	no	—
1199	C₄×D₄	—	10	1	no	—
1200	C₄×D₄	—	10	1	no	—
1201	C₄×D₄	—	10	1	no	—
1202	C₄×D₄	—	10	1	no	—
1203	C₄×D₄	—	10	1	no	—
1204	C₄×D₄	—	10	1	no	—
1205	C₄×D₄	—	10	1	no	—
1206	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1207	#117	—	2	1	no	—
1208	#117	—	5	1	no	—
1209	#117	—	5	1	no	—
1210	#117	—	5	1	no	—
1211	#117	—	5	1	no	—
1212	#117	—	10	1	no	—
1213	#117	—	10	1	no	—
1214	#117	—	10	1	no	—
1215	#117	—	10	1	no	—
1216	#117	—	10	1	no	—
1217	#117	—	10	1	no	—
1218	#117	—	10	1	no	—
1219	#117	—	10	1	no	—
1220	#117	—	10	1	no	—
1221	#117	—	10	1	no	—
1222	#117	—	10	1	no	—
1223	#117	—	10	1	no	—
1224	#117	C₂²×D₅	1	1	yes	characteristic
1225	C₂×C₄⋊C₄	—	10	1	no	—
1226	C₂×C₄⋊C₄	—	10	1	no	—
1227	C₂×C₄⋊C₄	—	10	1	no	—
1228	C₂×C₄⋊C₄	—	10	1	no	—
1229	C₂×C₄⋊C₄	—	10	1	no	—
1230	C₂×C₄⋊C₄	—	10	1	no	—
1231	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1232	C₂×C₂²⋊C₄	—	10	1	no	—
1233	C₂×C₂²⋊C₄	—	10	1	no	—
1234	C₂×C₂²⋊C₄	—	10	1	no	—
1235	C₂×C₄²	—	5	1	no	—
1236	C₂×C₄²	—	5	1	no	—
1237	C₂×C₄²	—	5	1	no	—
1238	C₂×C₄²	—	10	1	no	—
1239	C₂×C₄²	—	10	1	no	—
1240	#107	—	5	1	no	—
1241	#107	—	5	1	no	—
1242	#107	C₂²×D₅	1	1	yes	characteristic
1243	#107	C₂²×D₅	1	1	yes	characteristic
1244	#106	—	5	1	no	—
1245	#106	—	5	1	no	—
1246	#106	—	5	1	no	—
1247	#106	C₂²×D₅	1	1	yes	characteristic
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	—	5	1	no	—
1251	C₄⋊C₈	—	5	1	no	—
1252	C₄⋊C₈	—	5	1	no	—
1253	C₄⋊C₈	—	5	1	no	—
1254	C₄⋊C₈	—	5	1	no	—
1255	C₄⋊C₈	—	5	1	no	—
1256	C₄⋊C₈	—	5	1	no	—
1257	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1258	#103	—	5	1	no	—
1259	#103	—	5	1	no	—
1260	#103	—	5	1	no	—
1261	#103	—	5	1	no	—
1262	#103	—	5	1	no	—
1263	#103	—	5	1	no	—
1264	#103	—	5	1	no	—
1265	#103	—	5	1	no	—
1266	#103	—	5	1	no	—
1267	#103	—	5	1	no	—
1268	#103	—	5	1	no	—
1269	#103	—	5	1	no	—
1270	#103	—	5	1	no	—
1271	#103	C₂²×D₅	1	1	yes	characteristic
1272	#103	C₂²×D₅	1	1	yes	characteristic
1273	#103	C₂²×D₅	1	1	yes	characteristic
1274	#103	C₂²×D₅	1	1	yes	characteristic
1275	#103	C₂²×D₅	1	1	yes	characteristic
1276	#103	C₂²×D₅	1	1	yes	characteristic
1277	#103	C₂²×D₅	1	1	yes	characteristic
1278	#102	—	5	1	no	—
1279	#102	—	5	1	no	—
1280	#102	—	5	1	no	—
1281	#102	—	5	1	no	—
1282	#102	—	5	1	no	—
1283	#102	—	5	1	no	—
1284	#102	—	5	1	no	—
1285	#102	—	5	1	no	—
1286	#102	—	5	1	no	—
1287	#102	C₂²×D₅	1	1	yes	characteristic
1288	#102	C₂²×D₅	1	1	yes	characteristic
1289	#102	C₂²×D₅	1	1	yes	characteristic
1290	C₂²⋊C₈	—	5	1	no	—
1291	C₂²⋊C₈	—	5	1	no	—
1292	C₂²⋊C₈	—	5	1	no	—
1293	C₂²⋊C₈	—	5	1	no	—
1294	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1295	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1296	C₄×C₈	—	5	1	no	—
1297	C₄×C₈	—	5	1	no	—
1298	C₄×C₈	—	5	1	no	—
1299	C₄×C₈	—	5	1	no	—
1300	C₄×C₈	—	5	1	no	—
1301	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1302	C₂²×C₅	—	2	1	no	—
1303	C₂²×C₅	—	2	1	no	—
1304	C₂²×C₅	—	2	1	no	—
1305	C₂²×C₅	—	2	1	no	—
1306	C₂²×C₅	—	2	1	no	—
1307	C₂²×C₅	—	4	1	no	—
1308	C₂²×C₅	—	4	1	no	—
1309	C₂²×C₅	—	4	1	no	—
1310	C₂²×C₅	C₂×#135	1	2	yes	—
1311	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1312	C₂×D₅	—	2	1	no	—
1313	C₂×D₅	—	2	1	no	—
1314	C₂×D₅	—	2	2	no	—
1315	C₂×D₅	—	2	1	no	—
1316	C₂×D₅	—	4	1	no	—
1317	C₂×D₅	—	4	1	no	—
1318	C₂×D₅	—	4	1	no	—
1319	C₂×D₅	—	4	1	no	—
1320	C₂×D₅	—	4	1	no	—
1321	C₂×D₅	—	4	1	no	—
1322	C₂×D₅	—	4	1	no	—
1323	C₂×D₅	—	4	1	no	—
1324	C₂×D₅	—	8	4	no	—
1325	C₄×C₅	—	2	1	no	—
1326	C₄×C₅	—	2	1	no	—
1327	C₄×C₅	—	2	1	no	—
1328	C₄×C₅	—	2	1	no	—
1329	C₄×C₅	—	4	1	no	—
1330	C₄×C₅	—	4	1	no	—
1331	C₄×C₅	—	4	1	no	—
1332	C₄×C₅	—	4	1	no	—
1333	C₄×C₅	—	4	1	no	—
1334	C₄×C₅	—	4	1	no	—
1335	C₄×C₅	—	4	1	no	—
1336	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1337	C₄×C₅	#585	1	1	yes	characteristic
1338	Dic₅	—	2	1	no	—
1339	Dic₅	—	2	1	no	—
1340	Dic₅	—	2	1	no	—
1341	Dic₅	—	2	1	no	—
1342	Dic₅	—	2	1	no	—
1343	Dic₅	—	4	1	no	—
1344	Dic₅	—	4	1	no	—
1345	Dic₅	—	4	1	no	—
1346	Dic₅	—	4	1	no	—
1347	Dic₅	—	4	1	no	—
1348	Dic₅	C₂×#135	1	2	yes	—
1349	Dic₅	C₂×#135	1	2	yes	—
1350	C₂⁴	—	10	1	no	—
1351	#41	—	4	1	no	—
1352	#41	—	4	1	no	—
1353	#41	—	10	2	no	—
1354	#41	—	10	4	no	—
1355	#41	—	10	2	no	—
1356	#41	—	20	1	no	—
1357	#41	—	20	1	no	—
1358	#41	—	20	1	no	—
1359	#41	—	20	4	no	—
1360	#41	—	20	1	no	—
1361	#41	—	20	1	no	—
1362	#41	—	20	1	no	—
1363	#41	—	20	1	no	—
1364	#41	—	20	1	no	—
1365	C₂×Q₈	—	2	1	no	—
1366	C₂×Q₈	—	4	1	no	—
1367	C₂×Q₈	—	4	1	no	—
1368	C₂×Q₈	—	5	1	no	—
1369	C₂×Q₈	—	5	1	no	—
1370	C₂×Q₈	—	5	1	no	—
1371	C₂×Q₈	—	5	1	no	—
1372	C₂×Q₈	—	10	1	no	—
1373	C₂×Q₈	—	10	1	no	—
1374	C₂×Q₈	—	10	1	no	—
1375	C₂×Q₈	—	20	1	no	—
1376	C₂×Q₈	—	20	1	no	—
1377	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1378	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1379	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1380	C₂×D₄	—	2	1	no	—
1381	C₂×D₄	—	2	1	no	—
1382	C₂×D₄	—	5	1	no	—
1383	C₂×D₄	—	5	1	no	—
1384	C₂×D₄	—	5	1	no	—
1385	C₂×D₄	—	5	1	no	—
1386	C₂×D₄	—	5	1	no	—
1387	C₂×D₄	—	10	2	no	—
1388	C₂×D₄	—	10	1	no	—
1389	C₂×D₄	—	10	1	no	—
1390	C₂×D₄	—	10	1	no	—
1391	C₂×D₄	—	10	1	no	—
1392	C₂×D₄	—	10	1	no	—
1393	C₂×D₄	—	10	1	no	—
1394	C₂×D₄	—	10	1	no	—
1395	C₂×D₄	—	10	1	no	—
1396	C₂×D₄	—	10	1	no	—
1397	C₂×D₄	—	10	1	no	—
1398	C₂×D₄	—	10	1	no	—
1399	C₂×D₄	—	20	1	no	—
1400	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1401	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1402	C₂²×C₄	—	2	1	no	—
1403	C₂²×C₄	—	2	1	no	—
1404	C₂²×C₄	—	2	1	no	—
1405	C₂²×C₄	—	5	1	no	—
1406	C₂²×C₄	—	5	1	no	—
1407	C₂²×C₄	—	5	1	no	—
1408	C₂²×C₄	—	5	1	no	—
1409	C₂²×C₄	—	5	1	no	—
1410	C₂²×C₄	—	5	1	no	—
1411	C₂²×C₄	—	5	1	no	—
1412	C₂²×C₄	—	10	1	no	—
1413	C₂²×C₄	—	10	1	no	—
1414	C₂²×C₄	—	10	1	no	—
1415	C₂²×C₄	—	10	1	no	—
1416	C₂²×C₄	—	10	1	no	—
1417	C₂²×C₄	—	10	1	no	—
1418	C₂²×C₄	—	10	1	no	—
1419	C₂²×C₄	—	10	1	no	—
1420	C₂²×C₄	—	10	1	no	—
1421	C₂²×C₄	—	10	1	no	—
1422	C₂²×C₄	—	10	1	no	—
1423	C₂²×C₄	—	10	1	no	—
1424	C₂²×C₄	—	10	1	no	—
1425	C₂²×C₄	—	10	1	no	—
1426	C₂²×C₄	—	20	4	no	—
1427	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1429	Q₁₆	—	4	1	no	—
1430	Q₁₆	—	4	1	no	—
1431	Q₁₆	—	20	1	no	—
1432	Q₁₆	—	20	1	no	—
1433	Q₁₆	—	20	1	no	—
1434	Q₁₆	—	20	1	no	—
1435	Q₁₆	—	20	1	no	—
1436	Q₁₆	—	20	1	no	—
1437	SD₁₆	—	4	1	no	—
1438	SD₁₆	—	10	2	no	—
1439	SD₁₆	—	10	2	no	—
1440	SD₁₆	—	10	2	no	—
1441	SD₁₆	—	10	2	no	—
1442	SD₁₆	—	20	1	no	—
1443	SD₁₆	—	20	1	no	—
1444	SD₁₆	—	20	1	no	—
1445	SD₁₆	—	20	1	no	—
1446	SD₁₆	—	20	1	no	—
1447	SD₁₆	—	20	1	no	—
1448	SD₁₆	—	20	1	no	—
1449	D₈	—	10	2	no	—
1450	D₈	—	10	2	no	—
1451	D₈	—	20	1	no	—
1452	D₈	—	20	1	no	—
1453	C₂×C₈	—	4	1	no	—
1454	C₂×C₈	—	4	1	no	—
1455	C₂×C₈	—	5	1	no	—
1456	C₂×C₈	—	5	1	no	—
1457	C₂×C₈	—	5	1	no	—
1458	C₂×C₈	—	5	1	no	—
1459	C₂×C₈	—	20	1	no	—
1460	C₂×C₈	—	20	1	no	—
1461	C₂×C₈	—	20	1	no	—
1462	C₂×C₈	—	20	1	no	—
1463	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1464	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1465	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1466	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1467	C₄⋊C₄	—	2	1	no	—
1468	C₄⋊C₄	—	2	1	no	—
1469	C₄⋊C₄	—	2	1	no	—
1470	C₄⋊C₄	—	2	1	no	—
1471	C₄⋊C₄	—	2	1	no	—
1472	C₄⋊C₄	—	2	1	no	—
1473	C₄⋊C₄	—	2	1	no	—
1474	C₄⋊C₄	—	2	1	no	—
1475	C₄⋊C₄	—	5	1	no	—
1476	C₄⋊C₄	—	5	1	no	—
1477	C₄⋊C₄	—	5	1	no	—
1478	C₄⋊C₄	—	5	1	no	—
1479	C₄⋊C₄	—	5	1	no	—
1480	C₄⋊C₄	—	5	1	no	—
1481	C₄⋊C₄	—	5	1	no	—
1482	C₄⋊C₄	—	10	1	no	—
1483	C₄⋊C₄	—	10	1	no	—
1484	C₄⋊C₄	—	10	1	no	—
1485	C₄⋊C₄	—	10	1	no	—
1486	C₄⋊C₄	—	10	1	no	—
1487	C₄⋊C₄	—	10	1	no	—
1488	C₄⋊C₄	—	10	1	no	—
1489	C₄⋊C₄	—	10	1	no	—
1490	C₄⋊C₄	—	10	1	no	—
1491	C₄⋊C₄	—	10	1	no	—
1492	C₄⋊C₄	—	10	1	no	—
1493	C₄⋊C₄	—	10	1	no	—
1494	C₄⋊C₄	—	10	1	no	—
1495	C₄⋊C₄	—	10	1	no	—
1496	C₄⋊C₄	—	10	1	no	—
1497	C₄⋊C₄	—	10	1	no	—
1498	C₄⋊C₄	—	10	1	no	—
1499	C₄⋊C₄	—	10	1	no	—
1500	C₄⋊C₄	—	10	1	no	—
1501	C₄⋊C₄	—	10	1	no	—
1502	C₄⋊C₄	—	10	1	no	—
1503	C₄⋊C₄	—	10	1	no	—
1504	C₄⋊C₄	—	10	1	no	—
1505	C₄⋊C₄	—	10	1	no	—
1506	C₄⋊C₄	—	10	1	no	—
1507	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1508	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1509	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1510	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1511	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1512	C₂²⋊C₄	—	2	1	no	—
1513	C₂²⋊C₄	—	2	1	no	—
1514	C₂²⋊C₄	—	2	1	no	—
1515	C₂²⋊C₄	—	2	1	no	—
1516	C₂²⋊C₄	—	2	1	no	—
1517	C₂²⋊C₄	—	2	1	no	—
1518	C₂²⋊C₄	—	2	1	no	—
1519	C₂²⋊C₄	—	5	1	no	—
1520	C₂²⋊C₄	—	5	1	no	—
1521	C₂²⋊C₄	—	5	1	no	—
1522	C₂²⋊C₄	—	5	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₂²⋊C₄	—	10	1	no	—
1527	C₂²⋊C₄	—	10	1	no	—
1528	C₂²⋊C₄	—	10	1	no	—
1529	C₂²⋊C₄	—	10	1	no	—
1530	C₂²⋊C₄	—	10	1	no	—
1531	C₂²⋊C₄	—	10	1	no	—
1532	C₂²⋊C₄	—	10	1	no	—
1533	C₂²⋊C₄	—	10	1	no	—
1534	C₂²⋊C₄	—	10	1	no	—
1535	C₂²⋊C₄	—	10	1	no	—
1536	C₂²⋊C₄	—	10	1	no	—
1537	C₂²⋊C₄	—	10	1	no	—
1538	C₂²⋊C₄	—	10	1	no	—
1539	C₂²⋊C₄	—	10	1	no	—
1540	C₂²⋊C₄	—	10	1	no	—
1541	C₂²⋊C₄	—	10	1	no	—
1542	C₂²⋊C₄	—	10	1	no	—
1543	C₂²⋊C₄	—	10	1	no	—
1544	C₂²⋊C₄	—	10	1	no	—
1545	C₂²⋊C₄	—	10	1	no	—
1546	C₂²⋊C₄	—	10	1	no	—
1547	C₂²⋊C₄	—	10	1	no	—
1548	C₂²⋊C₄	—	10	1	no	—
1549	C₂²⋊C₄	—	10	1	no	—
1550	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1551	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1552	C₄²	—	2	1	no	—
1553	C₄²	—	2	1	no	—
1554	C₄²	—	2	1	no	—
1555	C₄²	—	5	1	no	—
1556	C₄²	—	5	1	no	—
1557	C₄²	—	5	1	no	—
1558	C₄²	—	5	1	no	—
1559	C₄²	—	5	1	no	—
1560	C₄²	—	5	1	no	—
1561	C₄²	—	5	1	no	—
1562	C₄²	—	5	1	no	—
1563	C₄²	—	5	1	no	—
1564	C₄²	—	10	1	no	—
1565	C₄²	—	10	1	no	—
1566	C₄²	—	10	1	no	—
1567	C₄²	—	10	1	no	—
1568	C₄²	—	10	1	no	—
1569	C₄²	—	10	1	no	—
1570	C₄²	—	10	1	no	—
1571	C₄²	C₂³×D₅	1	1	yes	characteristic
1572	C₂×C₅	—	2	2	no	—
1573	C₂×C₅	—	4	1	no	—
1574	C₂×C₅	—	8	1	no	—
1575	C₂×C₅	#3488	1	1	yes	characteristic
1576	C₂×C₅	C₂²×#135	1	1	yes	characteristic
1577	C₂×C₅	#3586	1	1	yes	characteristic
1578	D₅	—	4	1	no	—
1579	D₅	—	4	2	no	—
1580	D₅	—	8	1	no	—
1581	D₅	—	8	1	no	—
1582	C₂³	—	2	1	no	—
1583	C₂³	—	5	1	no	—
1584	C₂³	—	10	1	no	—
1585	C₂³	—	10	1	no	—
1586	C₂³	—	10	1	no	—
1587	C₂³	—	20	2	no	—
1588	C₂³	—	20	2	no	—
1589	C₂³	—	40	1	no	—
1590	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1591	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1592	Q₈	—	2	1	no	—
1593	Q₈	—	2	1	no	—
1594	Q₈	—	2	1	no	—
1595	Q₈	—	2	1	no	—
1596	Q₈	—	2	1	no	—
1597	Q₈	—	2	1	no	—
1598	Q₈	—	8	1	no	—
1599	Q₈	—	10	2	no	—
1600	Q₈	—	10	1	no	—
1601	Q₈	—	10	1	no	—
1602	Q₈	—	10	1	no	—
1603	Q₈	—	10	1	no	—
1604	Q₈	—	10	1	no	—
1605	Q₈	—	10	1	no	—
1606	Q₈	—	20	2	no	—
1607	Q₈	—	40	1	no	—
1608	Q₈	—	40	1	no	—
1609	D₄	—	2	2	no	—
1610	D₄	—	2	1	no	—
1611	D₄	—	2	1	no	—
1612	D₄	—	4	2	no	—
1613	D₄	—	5	2	no	—
1614	D₄	—	8	1	no	—
1615	D₄	—	10	2	no	—
1616	D₄	—	10	2	no	—
1617	D₄	—	10	1	no	—
1618	D₄	—	10	1	no	—
1619	D₄	—	10	1	no	—
1620	D₄	—	10	1	no	—
1621	D₄	—	10	1	no	—
1622	D₄	—	20	2	no	—
1623	D₄	—	20	2	no	—
1624	D₄	—	20	2	no	—
1625	D₄	—	20	2	no	—
1626	D₄	—	20	2	no	—
1627	D₄	—	20	2	no	—
1628	D₄	—	40	1	no	—
1629	D₄	—	40	1	no	—
1630	D₄	—	40	1	no	—
1631	D₄	—	40	1	no	—
1632	D₄	—	40	1	no	—
1633	C₂×C₄	—	2	1	no	—
1634	C₂×C₄	—	2	1	no	—
1635	C₂×C₄	—	2	1	no	—
1636	C₂×C₄	—	2	1	no	—
1637	C₂×C₄	—	2	1	no	—
1638	C₂×C₄	—	2	1	no	—
1639	C₂×C₄	—	2	1	no	—
1640	C₂×C₄	—	2	1	no	—
1641	C₂×C₄	—	2	1	no	—
1642	C₂×C₄	—	2	1	no	—
1643	C₂×C₄	—	2	1	no	—
1644	C₂×C₄	—	4	2	no	—
1645	C₂×C₄	—	5	4	no	—
1646	C₂×C₄	—	5	1	no	—
1647	C₂×C₄	—	5	1	no	—
1648	C₂×C₄	—	5	1	no	—
1649	C₂×C₄	—	5	1	no	—
1650	C₂×C₄	—	5	1	no	—
1651	C₂×C₄	—	5	1	no	—
1652	C₂×C₄	—	5	1	no	—
1653	C₂×C₄	—	8	1	no	—
1654	C₂×C₄	—	8	1	no	—
1655	C₂×C₄	—	10	2	no	—
1656	C₂×C₄	—	10	2	no	—
1657	C₂×C₄	—	10	1	no	—
1658	C₂×C₄	—	10	1	no	—
1659	C₂×C₄	—	10	1	no	—
1660	C₂×C₄	—	10	1	no	—
1661	C₂×C₄	—	10	1	no	—
1662	C₂×C₄	—	10	1	no	—
1663	C₂×C₄	—	10	1	no	—
1664	C₂×C₄	—	20	1	no	—
1665	C₂×C₄	—	20	2	no	—
1666	C₂×C₄	—	20	2	no	—
1667	C₂×C₄	—	20	2	no	—
1668	C₂×C₄	—	20	2	no	—
1669	C₂×C₄	—	20	2	no	—
1670	C₂×C₄	—	20	2	no	—
1671	C₂×C₄	—	20	2	no	—
1672	C₂×C₄	—	20	2	no	—
1673	C₂×C₄	—	20	1	no	—
1674	C₂×C₄	—	20	1	no	—
1675	C₂×C₄	—	40	1	no	—
1676	C₂×C₄	—	40	1	no	—
1677	C₂×C₄	—	40	1	no	—
1678	C₂×C₄	—	40	1	no	—
1679	C₂×C₄	—	40	1	no	—
1680	C₂×C₄	—	40	1	no	—
1681	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1682	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1683	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1684	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1685	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1686	C₈	—	2	1	no	—
1687	C₈	—	2	1	no	—
1688	C₈	—	2	1	no	—
1689	C₈	—	2	1	no	—
1690	C₈	—	10	1	no	—
1691	C₈	—	10	1	no	—
1692	C₈	—	10	1	no	—
1693	C₈	—	10	1	no	—
1694	C₅	#61950	1	1	yes	characteristic, complemented, Sylow
1695	C₂²	—	2	1	no	—
1696	C₂²	—	2	1	no	—
1697	C₂²	—	2	1	no	—
1698	C₂²	—	2	1	no	—
1699	C₂²	—	2	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	10	1	no	—
1704	C₂²	—	10	2	no	—
1705	C₂²	—	10	1	no	—
1706	C₂²	—	10	1	no	—
1707	C₂²	—	20	1	no	—
1708	C₂²	—	20	1	no	—
1709	C₂²	—	20	1	no	—
1710	C₂²	—	20	1	no	—
1711	C₂²	—	20	1	no	—
1712	C₂²	—	20	1	no	—
1713	C₂²	—	20	1	no	—
1714	C₂²	—	20	1	no	—
1715	C₂²	—	40	4	no	—
1716	C₂²	D₅×#135	1	2	yes	—
1717	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	4	1	no	—
1723	C₄	—	4	1	no	—
1724	C₄	—	4	1	no	—
1725	C₄	—	4	1	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	5	2	no	—
1730	C₄	—	5	2	no	—
1731	C₄	—	10	1	no	—
1732	C₄	—	10	1	no	—
1733	C₄	—	10	1	no	—
1734	C₄	—	10	1	no	—
1735	C₄	—	10	1	no	—
1736	C₄	—	20	1	no	—
1737	C₄	—	20	1	no	—
1738	C₄	—	20	1	no	—
1739	C₄	—	20	1	no	—
1740	C₄	—	20	1	no	—
1741	C₄	#66283	1	1	yes	characteristic
1742	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1743	C₂	—	2	2	no	—
1744	C₂	—	4	1	no	—
1745	C₂	—	8	1	no	—
1746	C₂	—	20	1	no	—
1747	C₂	—	20	2	no	—
1748	C₂	—	40	1	no	—
1749	C₂	—	40	1	no	—
1750	C₂	#10618530	1	1	yes	characteristic
1751	C₂	C₂×D₅×#135	1	1	yes	characteristic
1752	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×#3300	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3300	D₅
hypocenter	C₅	#61950
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3300

Complements

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

N	H ≅ G/N	type
1. #10618727	C₂	semidirect
2. #10618617	C₂	semidirect
3. C₅×#3300	C₂	semidirect
4. #10615333	C₂	semidirect
5. #10615276	C₂	semidirect
6. #10613374	C₂	semidirect
7. #10613363	C₂	semidirect
8. #10613276	C₂	semidirect
9. #10613224	C₂	semidirect
10. #10613036	C₂	semidirect
11. #10612999	C₂	semidirect
12. #10612946	C₂	semidirect
13. #10612943	C₂	semidirect
14. #10612505	C₂	semidirect
15. #10612477	C₂	semidirect
16. #10612408	C₂	semidirect
17. #10612371	C₂	semidirect
18. #10612328	C₂	semidirect
19. #10612319	C₂	semidirect
20. #10612000	C₂	semidirect
21. #10611952	C₂	semidirect
22. #10611938	C₂	semidirect
23. #10611909	C₂	semidirect
24. #10611478	C₂	semidirect
25. #10611441	C₂	semidirect
26. #10611166	C₂	semidirect
27. #10611136	C₂	semidirect
28. #10610592	C₂	semidirect
29. #10610581	C₂	semidirect
30. C₂×#65107	C₂	semidirect
31. #10610538	C₂	semidirect
34. #66166	C₂²	semidirect
35. #66158	C₂²	semidirect
50. #66005	C₂²	semidirect
53. #66002	C₂²	semidirect
59. #65965	C₂²	semidirect
63. #65956	C₂²	semidirect
68. #65912	C₂²	semidirect
71. #65902	C₂²	semidirect
83. C₅×#488	C₂²	semidirect
84. C₅×#485	C₂²	semidirect
86. C₅×#479	C₂²	semidirect
87. C₅×#467	C₂²	semidirect
89. C₅×#464	C₂²	semidirect
90. C₅×#452	C₂²	semidirect
92. C₄×C₅×Q₁₆	C₂²	semidirect
94. C₅×#416	C₂²	semidirect
101. #65471	C₂²	semidirect
102. #65471	C₂²	semidirect
103. #65470	C₂²	semidirect
104. #65470	C₂²	semidirect
106. #65452	C₂²	semidirect
107. #65451	C₂²	semidirect
111. C₈×C₂²⋊D₅	C₂²	semidirect
113. C₂×#3946	C₂²	semidirect
114. #65357	C₂²	semidirect
115. #65352	C₂²	semidirect
118. #65340	C₂²	semidirect
123. #65336	C₂²	semidirect
126. C₄×#689	C₂²	semidirect
128. #65317	C₂²	semidirect
131. #65291	C₂²	semidirect
132. #65285	C₂²	semidirect
137. #65177	C₂²	semidirect
138. #65176	C₂²	semidirect
139. #65166	C₂²	semidirect
140. #65162	C₂²	semidirect
143. #65159	C₂²	semidirect
145. #65143	C₂²	semidirect
149. D₅×C₄⋊C₈	C₂²	semidirect
150. #65119	C₂²	semidirect
160. #65107	C₂²	semidirect
161. #65104	C₂²	semidirect
162. #65102	C₂²	semidirect
165. #65099	C₂²	semidirect
167. #65093	C₂²	semidirect
168. #65089	C₂²	semidirect
169. #65088	C₂²	semidirect
171. #65087	C₂²	semidirect
172. #65082	C₂²	semidirect
173. #65082	C₂²	semidirect
174. #65081	C₂²	semidirect
175. #65081	C₂²	semidirect
176. #65080	C₂²	semidirect
177. #65079	C₂²	semidirect
182. #65072	C₂²	semidirect
184. #65061	C₂²	semidirect
185. #65057	C₂²	semidirect
186. #65056	C₂²	semidirect
187. #65051	C₂²	semidirect
188. #65050	C₂²	semidirect
196. #65014	C₂²	semidirect
198. #65007	C₂²	semidirect
201. #64974	C₂²	semidirect
202. C₈×Dic₁₀	C₂²	semidirect
496. #3300	D₅	semidirect
798. #488	C₂×D₅	semidirect
804. #485	C₂×D₅	semidirect
810. #479	C₂×D₅	semidirect
820. #467	C₂×D₅	semidirect
836. #464	C₂×D₅	semidirect
866. #452	C₂×D₅	semidirect
882. C₄×Q₁₆	C₂×D₅	semidirect
906. #416	C₂×D₅	semidirect
970. C₂×Dic₅	#135	semidirect
1694. C₅	#61950	semidirect

Maximal subgroups

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

subgroup	index
#10618727	2
#10618617	2
C₅×#3300	2
#10615333	2
#10615276	2
#10613374	2
#10613363	2
#10613276	2
#10613224	2
#10613036	2
#10612999	2
#10612946	2
#10612943	2
#10612505	2
#10612477	2
#10612408	2
#10612371	2
#10612328	2
#10612319	2
#10612000	2
#10611952	2
#10611938	2
#10611909	2
#10611478	2
#10611441	2
#10611166	2
#10611136	2
#10610592	2
#10610581	2
C₂×#65107	2
#10610538	2
#61950	5