Subgroups — #12969743

Order 1280.

1886 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618427	C₂	1	1	yes	maximal, characteristic
2	#10618411	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3178	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615189	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615176	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613707	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613691	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613601	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613593	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613368	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613360	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#487	C₂	1	1	yes	maximal, characteristic, complemented
13	#10613325	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612638	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612624	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612541	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612521	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612493	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612472	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612393	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612363	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611569	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611523	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611507	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611456	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611450	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611393	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611379	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610301	C₂	1	1	yes	maximal, characteristic, complemented
31	#10610280	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#541	C₂²	1	1	yes	characteristic
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×#4064	C₂²	1	1	yes	characteristic
36	C₂×#4061	C₂²	1	1	yes	characteristic
37	C₂×#4061	C₂²	1	1	yes	characteristic
38	C₂×#4053	C₂²	1	1	yes	characteristic
39	C₂×#4047	C₂²	1	1	yes	characteristic
40	#66067	C₂²	1	1	yes	characteristic
41	#66065	C₂²	1	1	yes	characteristic
42	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
43	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
44	#66043	—	2	1	no	—
45	#66042	—	2	1	no	—
46	#66042	—	2	1	no	—
47	#66036	—	2	1	no	—
48	#66036	—	2	1	no	—
49	#66036	—	2	1	no	—
50	#66031	C₂²	1	1	yes	characteristic
51	#66027	—	2	1	no	—
52	#66027	—	2	1	no	—
53	#66022	C₂²	1	1	yes	characteristic
54	#66019	—	2	1	no	—
55	#66019	—	2	1	no	—
56	#66016	C₂²	1	1	yes	characteristic
57	#66011	—	2	1	no	—
58	#66004	—	2	1	no	—
59	#66002	C₂²	1	1	yes	characteristic
60	#65995	—	2	1	no	—
61	#65989	—	2	1	no	—
62	#65970	—	2	1	no	—
63	#65967	—	2	1	no	—
64	#65963	C₂²	1	1	yes	characteristic
65	#65962	C₂²	1	1	yes	characteristic
66	#65962	C₂²	1	1	yes	characteristic
67	#65956	C₂²	1	1	yes	characteristic
68	#65956	C₂²	1	1	yes	characteristic
69	#65956	C₂²	1	1	yes	characteristic
70	#65942	C₂²	1	1	yes	characteristic
71	#65930	C₂²	1	1	yes	characteristic
72	#65912	C₂²	1	1	yes	characteristic
73	#65912	C₂²	1	1	yes	characteristic
74	#65912	C₂²	1	1	yes	characteristic
75	#65908	C₂²	1	1	yes	characteristic
76	#65906	C₂²	1	1	yes	characteristic
77	#65906	C₂²	1	1	yes	characteristic
78	#65882	C₂²	1	1	yes	characteristic
79	#65880	C₂²	1	1	yes	characteristic
80	#65868	C₂²	1	1	yes	characteristic
81	#65856	C₂²	1	1	yes	characteristic
82	#65852	C₂²	1	1	yes	characteristic
83	C₅×#501	C₂²	1	1	yes	characteristic
84	C₅×#497	C₂²	1	1	yes	characteristic
85	C₅×#488	C₂²	1	1	yes	characteristic
86	C₅×#487	C₂²	1	1	yes	characteristic
87	C₅×#470	C₂²	1	1	yes	characteristic
88	C₅×#468	C₂²	1	1	yes	characteristic
89	C₅×#467	C₂²	1	1	yes	characteristic
90	C₅×#465	C₂²	1	1	yes	characteristic
91	C₅×#441	C₂²	1	1	yes	characteristic
92	C₅×#440	C₂²	1	1	yes	characteristic
93	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
94	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
95	C₅×#405	C₂²	1	1	yes	characteristic
96	#65478	C₂²	1	1	yes	characteristic
97	#65477	C₂²	1	1	yes	characteristic
98	#65473	C₂²	1	1	yes	characteristic
99	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
100	#65470	C₂²	1	1	yes	characteristic
101	#65470	C₂²	1	1	yes	characteristic
102	#65464	C₂²	1	1	yes	characteristic
103	#65464	C₂²	1	1	yes	characteristic
104	#65463	C₂²	1	1	yes	characteristic
105	#65460	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic
107	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
108	#65426	C₂²	1	1	yes	characteristic
109	#65423	C₂²	1	1	yes	characteristic
110	M₁₆×Dic₅	C₂²	1	1	yes	characteristic
111	#65405	C₂²	1	1	yes	characteristic
112	#65403	C₂²	1	1	yes	characteristic
113	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
114	#65382	C₂²	1	1	yes	characteristic
115	#65375	C₂²	1	1	yes	characteristic
116	#65370	C₂²	1	1	yes	characteristic
117	#65369	C₂²	1	1	yes	characteristic
118	#65357	C₂²	1	1	yes	characteristic
119	#65354	C₂²	1	1	yes	characteristic
120	#65349	C₂²	1	1	yes	characteristic
121	#65345	C₂²	1	1	yes	characteristic
122	#65341	C₂²	1	1	yes	characteristic
123	#65341	C₂²	1	1	yes	characteristic
124	#65340	C₂²	1	1	yes	characteristic
125	#65340	C₂²	1	1	yes	characteristic
126	#65338	C₂²	1	1	yes	characteristic
127	#65337	C₂²	1	1	yes	characteristic
128	#65331	C₂²	1	1	yes	characteristic
129	#65330	C₂²	1	1	yes	characteristic
130	#65319	C₂²	1	1	yes	characteristic
131	#65319	C₂²	1	1	yes	characteristic
132	C₄×#689	C₂²	1	1	yes	characteristic
133	C₄×#689	C₂²	1	1	yes	characteristic
134	#65315	C₂²	1	1	yes	characteristic
135	C₄×#688	C₂²	1	1	yes	characteristic
136	#65307	C₂²	1	1	yes	characteristic
137	C₄×#687	C₂²	1	1	yes	characteristic
138	#65286	C₂²	1	1	yes	characteristic
139	#65178	C₂²	1	1	yes	characteristic
140	#65176	C₂²	1	1	yes	characteristic
141	#65175	C₂²	1	1	yes	characteristic
142	#65170	C₂²	1	1	yes	characteristic
143	#65170	C₂²	1	1	yes	characteristic
144	#65163	C₂²	1	1	yes	characteristic
145	#65163	C₂²	1	1	yes	characteristic
146	#65162	C₂²	1	1	yes	characteristic
147	#65157	C₂²	1	1	yes	characteristic
148	#65153	C₂²	1	1	yes	characteristic
149	#65150	C₂²	1	1	yes	characteristic
150	#65150	C₂²	1	1	yes	characteristic
151	#65144	C₂²	1	1	yes	characteristic
152	#65144	C₂²	1	1	yes	characteristic
153	#65142	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65106	C₂²	1	1	yes	characteristic
156	#65105	C₂²	1	1	yes	characteristic
157	#65105	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65102	C₂²	1	1	yes	characteristic
160	#65101	C₂²	1	1	yes	characteristic
161	#65096	C₂²	1	1	yes	characteristic
162	#65093	C₂²	1	1	yes	characteristic
163	#65093	C₂²	1	1	yes	characteristic
164	D₅×#103	C₂²	1	1	yes	characteristic
165	D₅×#103	C₂²	1	1	yes	characteristic
166	D₅×#103	C₂²	1	1	yes	characteristic
167	D₅×#103	C₂²	1	1	yes	characteristic
168	#65081	C₂²	1	1	yes	characteristic
169	#65081	C₂²	1	1	yes	characteristic
170	#65081	C₂²	1	1	yes	characteristic
171	#65081	C₂²	1	1	yes	characteristic
172	#65081	C₂²	1	1	yes	characteristic
173	#65081	C₂²	1	1	yes	characteristic
174	#65079	C₂²	1	1	yes	characteristic
175	#65079	C₂²	1	1	yes	characteristic
176	#65078	C₂²	1	1	yes	characteristic
177	#65078	C₂²	1	1	yes	characteristic
178	#65077	C₂²	1	1	yes	characteristic
179	#65069	C₂²	1	1	yes	characteristic
180	#65067	C₂²	1	1	yes	characteristic
181	#65061	C₂²	1	1	yes	characteristic
182	#65061	C₂²	1	1	yes	characteristic
183	#65049	C₂²	1	1	yes	characteristic
184	#65049	C₂²	1	1	yes	characteristic
185	#65047	C₂²	1	1	yes	characteristic
186	#65046	C₂²	1	1	yes	characteristic
187	#65005	C₂²	1	1	yes	characteristic
188	#65004	C₂²	1	1	yes	characteristic
189	#64999	C₂²	1	1	yes	characteristic
190	#64997	C₂²	1	1	yes	characteristic
191	#64997	C₂²	1	1	yes	characteristic
192	#64996	C₂²	1	1	yes	characteristic
193	#64996	C₂²	1	1	yes	characteristic
194	#64991	C₂²	1	1	yes	characteristic
195	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
196	#64986	C₂²	1	1	yes	characteristic
197	C₄×#677	C₂²	1	1	yes	characteristic
198	#64978	C₂²	1	1	yes	characteristic
199	#64978	C₂²	1	1	yes	characteristic
200	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
201	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
202	#64970	C₂²	1	1	yes	characteristic
203	#60723	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	—	2	1	no	—
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#709	—	2	1	no	—
211	C₂×#709	C₂³	1	1	yes	characteristic
212	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
214	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×M₁₆	C₂³	1	1	yes	characteristic
217	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
218	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×#126	—	2	1	no	—
221	C₅×#126	—	2	1	no	—
222	C₅×#126	—	2	1	no	—
223	C₅×#125	—	2	1	no	—
224	C₅×#125	—	2	1	no	—
225	C₅×#125	C₂³	1	1	yes	characteristic
226	C₅×#124	—	2	1	no	—
227	C₅×#124	C₂³	1	1	yes	characteristic
228	C₅×#123	—	2	1	no	—
229	C₅×C₂²⋊Q₈	—	2	1	no	—
230	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
233	C₅×#121	C₂³	1	1	yes	characteristic
234	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
235	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
238	C₅×#117	C₂³	1	1	yes	characteristic
239	#4093	—	2	1	no	—
240	#4092	—	2	1	no	—
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	#4092	C₂³	1	1	yes	characteristic
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	#4090	—	2	1	no	—
248	#4090	C₂³	1	1	yes	characteristic
249	#4090	C₂³	1	1	yes	characteristic
250	#4090	C₂³	1	1	yes	characteristic
251	C₂×#689	C₂³	1	1	yes	characteristic
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#688	C₂³	1	1	yes	characteristic
256	C₂×#688	C₂³	1	1	yes	characteristic
257	#4086	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4085	—	2	1	no	—
260	#4084	—	2	1	no	—
261	#4084	C₂³	1	1	yes	characteristic
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	C₂×#687	C₂³	1	1	yes	characteristic
264	C₂×#687	C₂³	1	1	yes	characteristic
265	#4076	C₂³	1	1	yes	characteristic
266	C₄×C₂²⋊D₅	—	2	1	no	—
267	C₄×C₂²⋊D₅	—	2	1	no	—
268	#4070	C₂³	1	1	yes	characteristic
269	#4070	C₂³	1	1	yes	characteristic
270	#4070	C₂³	1	1	yes	characteristic
271	C₂×#683	—	2	1	no	—
272	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×#681	C₂³	1	1	yes	characteristic
274	C₂²×#168	C₂³	1	1	yes	characteristic
275	#4064	—	2	4	no	—
276	#4064	—	2	4	no	—
277	#4061	—	2	4	no	—
278	#4061	—	2	4	no	—
279	#4053	—	2	4	no	—
280	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
281	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
282	C₂×#677	C₂³	1	1	yes	characteristic
283	C₂×#677	C₂³	1	1	yes	characteristic
284	#4047	—	2	4	no	—
285	C₂×#676	C₂³	1	1	yes	characteristic
286	C₂×#676	C₂³	1	1	yes	characteristic
287	C₂×#676	C₂³	1	1	yes	characteristic
288	C₂×#676	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
292	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
293	#4044	—	2	1	no	—
294	#4044	—	2	1	no	—
295	#4044	—	2	1	no	—
296	#4044	—	2	1	no	—
297	#4044	—	2	1	no	—
298	#4044	—	2	1	no	—
299	#4043	C₂³	1	1	yes	characteristic
300	#4043	C₂³	1	1	yes	characteristic
301	#4043	C₂³	1	1	yes	characteristic
302	#4042	—	2	1	no	—
303	#4042	—	2	1	no	—
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4042	—	2	1	no	—
308	#4042	—	2	1	no	—
309	#4041	—	2	1	no	—
310	#4041	C₂³	1	1	yes	characteristic
311	#4040	—	2	1	no	—
312	#4040	—	2	1	no	—
313	#4040	—	2	1	no	—
314	#4039	—	2	1	no	—
315	#4039	D₄	1	1	yes	characteristic
316	#4039	D₄	1	1	yes	characteristic
317	#4039	C₂³	1	1	yes	characteristic
318	#4038	—	2	1	no	—
319	#4038	—	2	1	no	—
320	#4038	C₂³	1	1	yes	characteristic
321	#4038	C₂³	1	1	yes	characteristic
322	D₅×C₄⋊C₄	—	2	1	no	—
323	D₅×C₄⋊C₄	—	2	1	no	—
324	D₅×C₄⋊C₄	—	2	1	no	—
325	D₅×C₄⋊C₄	—	2	1	no	—
326	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
327	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
328	#4036	—	2	1	no	—
329	#4036	—	2	1	no	—
330	#4035	—	2	1	no	—
331	#4035	—	2	1	no	—
332	#4035	—	2	1	no	—
333	#4035	—	2	1	no	—
334	#4035	—	2	1	no	—
335	#4035	—	2	1	no	—
336	#4035	—	2	1	no	—
337	#4035	—	2	1	no	—
338	#4035	—	2	1	no	—
339	#4035	—	2	1	no	—
340	#4034	—	2	1	no	—
341	#4034	—	2	1	no	—
342	#4034	—	2	1	no	—
343	#4034	—	2	1	no	—
344	#4034	—	2	1	no	—
345	#4034	C₂³	1	1	yes	characteristic
346	#4034	C₂³	1	1	yes	characteristic
347	#4034	C₂³	1	1	yes	characteristic
348	#4034	C₂³	1	1	yes	characteristic
349	#4033	—	2	1	no	—
350	#4033	—	2	1	no	—
351	#4033	—	2	1	no	—
352	#4033	—	2	1	no	—
353	#4033	—	2	1	no	—
354	#4033	—	2	1	no	—
355	#4033	—	2	1	no	—
356	#4033	D₄	1	1	yes	characteristic
357	#4033	D₄	1	1	yes	characteristic
358	#4033	C₂³	1	1	yes	characteristic
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4032	—	2	1	no	—
362	#4031	—	2	1	no	—
363	#4031	—	2	1	no	—
364	#4031	—	2	1	no	—
365	#4031	—	2	1	no	—
366	#4031	—	2	1	no	—
367	#4031	—	2	1	no	—
368	#4030	—	2	1	no	—
369	#4030	—	2	1	no	—
370	#4030	—	2	1	no	—
371	#4030	—	2	1	no	—
372	#4030	—	2	1	no	—
373	#4030	—	2	1	no	—
374	#4029	—	2	1	no	—
375	#4029	—	2	1	no	—
376	#4029	—	2	1	no	—
377	#4027	—	2	1	no	—
378	#4027	—	2	1	no	—
379	#4027	—	2	1	no	—
380	#4027	—	2	1	no	—
381	#4027	D₄	1	1	yes	characteristic
382	#4027	D₄	1	1	yes	characteristic
383	#4027	D₄	1	1	yes	characteristic
384	#4027	D₄	1	1	yes	characteristic
385	#4025	—	2	1	no	—
386	#4025	—	2	1	no	—
387	#4025	—	2	1	no	—
388	#4024	—	2	1	no	—
389	#4024	—	2	1	no	—
390	#4024	—	2	1	no	—
391	#4024	—	2	1	no	—
392	#4024	—	2	1	no	—
393	#4023	—	2	1	no	—
394	#4023	—	2	1	no	—
395	#4023	—	2	1	no	—
396	#4023	—	2	1	no	—
397	#4021	C₂³	1	1	yes	characteristic
398	C₄×D₂₀	—	2	1	no	—
399	C₄×D₂₀	C₂³	1	1	yes	characteristic
400	#4018	—	2	1	no	—
401	#4018	—	2	1	no	—
402	#4018	—	2	1	no	—
403	#4018	—	2	1	no	—
404	#4018	—	2	1	no	—
405	#4018	—	2	1	no	—
406	#4018	C₂³	1	1	yes	characteristic
407	#4018	C₂³	1	1	yes	characteristic
408	C₄²×D₅	C₂³	1	1	yes	characteristic
409	C₄²×D₅	C₂³	1	1	yes	characteristic
410	#4016	C₂³	1	1	yes	characteristic
411	#4015	C₂³	1	1	yes	characteristic
412	#4015	C₂³	1	1	yes	characteristic
413	C₄×Dic₁₀	—	2	1	no	—
414	C₄×Dic₁₀	—	2	1	no	—
415	C₄×Dic₁₀	—	2	1	no	—
416	C₄×Dic₁₀	—	2	1	no	—
417	C₄×Dic₁₀	—	2	1	no	—
418	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
419	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
420	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
421	C₅×#107	C₂³	1	1	yes	characteristic
422	C₅×#107	C₂³	1	1	yes	characteristic
423	C₅×#106	C₂³	1	1	yes	characteristic
424	C₅×#106	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×#103	C₂³	1	1	yes	characteristic
427	C₅×#103	C₂³	1	1	yes	characteristic
428	C₅×#103	C₂³	1	1	yes	characteristic
429	C₅×#103	C₂³	1	1	yes	characteristic
430	C₅×#103	C₂³	1	1	yes	characteristic
431	C₅×#102	C₂³	1	1	yes	characteristic
432	C₅×#102	C₂³	1	1	yes	characteristic
433	C₅×#97	C₂³	1	1	yes	characteristic
434	C₅×#97	C₂³	1	1	yes	characteristic
435	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
436	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
437	#3967	C₂³	1	1	yes	characteristic
438	#3967	C₂³	1	1	yes	characteristic
439	#3967	C₂³	1	1	yes	characteristic
440	#3967	C₂³	1	1	yes	characteristic
441	#3967	C₂³	1	1	yes	characteristic
442	#3967	C₂³	1	1	yes	characteristic
443	#3964	C₂³	1	1	yes	characteristic
444	#3964	C₂³	1	1	yes	characteristic
445	#3953	C₂³	1	1	yes	characteristic
446	#3953	C₂³	1	1	yes	characteristic
447	#3950	C₂³	1	1	yes	characteristic
448	#3950	C₂³	1	1	yes	characteristic
449	#3949	C₂³	1	1	yes	characteristic
450	#3949	C₂³	1	1	yes	characteristic
451	#3948	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	#3948	C₂³	1	1	yes	characteristic
456	#3948	C₂³	1	1	yes	characteristic
457	#3947	C₂³	1	1	yes	characteristic
458	#3947	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	C₈×Dic₅	C₂³	1	1	yes	characteristic
461	C₈×Dic₅	C₂³	1	1	yes	characteristic
462	C₈×Dic₅	C₂³	1	1	yes	characteristic
463	C₈×Dic₅	C₂³	1	1	yes	characteristic
464	C₈×Dic₅	C₂³	1	1	yes	characteristic
465	#3942	C₂³	1	1	yes	characteristic
466	#3942	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	#3941	C₂³	1	1	yes	characteristic
472	#3941	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3940	C₂³	1	1	yes	characteristic
475	#3940	C₂³	1	1	yes	characteristic
476	#3940	C₂³	1	1	yes	characteristic
477	#3939	C₂³	1	1	yes	characteristic
478	#3939	C₂³	1	1	yes	characteristic
479	#3939	C₂³	1	1	yes	characteristic
480	#3939	C₂³	1	1	yes	characteristic
481	#3935	C₂³	1	1	yes	characteristic
482	#3935	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	#3509	—	5	1	no	—
487	#3185	—	5	1	no	—
488	#3185	—	5	1	no	—
489	#3182	—	5	1	no	—
490	#3182	—	5	1	no	—
491	#3178	—	5	1	no	—
492	#3178	—	5	1	no	—
493	#3178	—	5	1	no	—
494	#3178	—	5	1	no	—
495	#3178	—	5	1	no	—
496	#3178	—	5	1	no	—
497	#3178	—	5	1	no	—
498	#3178	D₅	1	1	yes	characteristic, complemented
499	#3170	—	5	1	no	—
500	#3170	—	5	1	no	—
501	#3167	—	5	1	no	—
502	#3167	—	5	1	no	—
503	#3165	—	5	1	no	—
504	#3152	—	5	1	no	—
505	#3131	—	5	1	no	—
506	C₂×#487	—	5	1	no	—
507	#3063	—	5	1	no	—
508	#3063	—	5	1	no	—
509	#3063	—	5	1	no	—
510	#3063	—	5	1	no	—
511	#2947	—	5	1	no	—
512	#2947	—	5	1	no	—
513	#2947	—	5	1	no	—
514	#2947	—	5	1	no	—
515	C₄×#131	—	5	1	no	—
516	C₂×C₅×Q₈	—	2	1	no	—
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
530	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
535	#713	—	2	2	no	—
536	#713	—	2	2	no	—
537	Q₈×D₅	—	2	2	no	—
538	Q₈×D₅	—	2	2	no	—
539	Q₈×D₅	—	2	2	no	—
540	Q₈×D₅	—	2	2	no	—
541	Q₈×D₅	—	8	2	no	—
542	#711	—	2	2	no	—
543	#711	—	2	2	no	—
544	#711	—	8	2	no	—
545	#709	—	2	2	no	—
546	#709	—	2	2	no	—
547	#709	—	8	2	no	—
548	C₂×D₂₀	—	2	1	no	—
549	C₂×D₂₀	—	2	1	no	—
550	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
551	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
552	C₂×C₄×D₅	—	2	1	no	—
553	C₂×C₄×D₅	—	2	1	no	—
554	C₂×C₄×D₅	—	2	1	no	—
555	C₂×C₄×D₅	—	2	1	no	—
556	C₂×C₄×D₅	—	2	1	no	—
557	C₂×C₄×D₅	—	2	1	no	—
558	C₂×C₄×D₅	—	2	1	no	—
559	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
563	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
564	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
565	C₂×Dic₁₀	—	2	1	no	—
566	C₂×Dic₁₀	—	2	1	no	—
567	C₂×Dic₁₀	—	2	1	no	—
568	C₂×Dic₁₀	—	2	1	no	—
569	C₂×Dic₁₀	—	2	1	no	—
570	C₂×Dic₁₀	—	2	1	no	—
571	C₂×Dic₁₀	—	2	1	no	—
572	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
573	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
574	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
575	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
576	C₅×Q₁₆	—	2	2	no	—
577	C₅×Q₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	2	2	no	—
579	C₅×SD₁₆	—	2	2	no	—
580	C₅×M₁₆	—	2	2	no	—
581	C₂×C₅×C₈	—	2	2	no	—
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
585	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	—	2	1	no	—
587	C₅×C₄⋊C₄	—	2	1	no	—
588	C₅×C₄⋊C₄	—	2	1	no	—
589	C₅×C₄⋊C₄	—	2	1	no	—
590	C₅×C₄⋊C₄	—	2	1	no	—
591	C₅×C₄⋊C₄	—	2	1	no	—
592	C₅×C₄⋊C₄	—	2	1	no	—
593	C₅×C₄⋊C₄	—	2	1	no	—
594	C₅×C₄⋊C₄	—	2	1	no	—
595	C₅×C₄⋊C₄	—	2	1	no	—
596	C₅×C₄⋊C₄	—	2	1	no	—
597	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
598	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
599	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
603	C₅×C₂²⋊C₄	—	2	1	no	—
604	C₅×C₂²⋊C₄	—	2	1	no	—
605	C₅×C₂²⋊C₄	—	2	1	no	—
606	C₅×C₂²⋊C₄	—	2	1	no	—
607	C₅×C₂²⋊C₄	—	2	1	no	—
608	C₅×C₂²⋊C₄	—	2	1	no	—
609	C₅×C₂²⋊C₄	—	2	1	no	—
610	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
611	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
612	C₄²×C₅	—	2	1	no	—
613	C₄²×C₅	—	2	1	no	—
614	C₄²×C₅	—	2	1	no	—
615	C₄²×C₅	C₂⁴	1	1	yes	characteristic
616	C₄²×C₅	C₂⁴	1	1	yes	characteristic
617	C₂²⋊Dic₅	—	2	1	no	—
618	C₂²⋊Dic₅	—	2	1	no	—
619	C₂²⋊Dic₅	—	2	1	no	—
620	C₂²⋊Dic₅	—	2	1	no	—
621	C₂²⋊Dic₅	—	2	1	no	—
622	#689	—	2	2	no	—
623	#689	—	2	2	no	—
624	#689	—	2	2	no	—
625	#689	—	2	2	no	—
626	#688	—	2	2	no	—
627	#688	—	2	2	no	—
628	#687	—	2	2	no	—
629	#687	—	2	2	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	—	2	1	no	—
636	#685	—	2	1	no	—
637	#685	—	2	1	no	—
638	#685	—	2	1	no	—
639	#685	—	2	1	no	—
640	#685	—	2	1	no	—
641	#685	—	2	1	no	—
642	#685	—	2	1	no	—
643	#685	—	2	1	no	—
644	#685	C₂×D₄	1	1	yes	characteristic
645	#685	C₂×D₄	1	1	yes	characteristic
646	#685	C₂×D₄	1	1	yes	characteristic
647	#685	C₂×D₄	1	1	yes	characteristic
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	—	2	1	no	—
653	C₄⋊Dic₅	—	2	1	no	—
654	C₄⋊Dic₅	—	2	1	no	—
655	C₄⋊Dic₅	—	2	1	no	—
656	C₄⋊Dic₅	—	2	1	no	—
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
658	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
659	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
660	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
661	#683	—	2	1	no	—
662	#683	—	2	1	no	—
663	#683	—	2	1	no	—
664	#683	—	2	1	no	—
665	#683	—	2	1	no	—
666	#683	—	2	1	no	—
667	#683	—	2	1	no	—
668	#683	—	2	1	no	—
669	#683	—	2	1	no	—
670	#683	—	2	1	no	—
671	#683	—	2	1	no	—
672	#683	—	2	1	no	—
673	#683	—	2	1	no	—
674	#683	—	2	1	no	—
675	#683	—	2	1	no	—
676	#683	—	2	1	no	—
677	#683	—	2	1	no	—
678	#683	—	2	1	no	—
679	#683	—	2	1	no	—
680	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
688	#683	C₂×D₄	1	1	yes	characteristic
689	#683	C₂×D₄	1	1	yes	characteristic
690	#683	C₂×D₄	1	1	yes	characteristic
691	C₄×Dic₅	—	2	1	no	—
692	C₄×Dic₅	—	2	1	no	—
693	C₄×Dic₅	—	2	1	no	—
694	C₄×Dic₅	—	2	1	no	—
695	C₄×Dic₅	—	2	1	no	—
696	C₄×Dic₅	—	2	1	no	—
697	C₄×Dic₅	—	2	1	no	—
698	C₄×Dic₅	—	2	1	no	—
699	C₄×Dic₅	—	2	1	no	—
700	C₄×Dic₅	—	2	1	no	—
701	C₄×Dic₅	—	2	1	no	—
702	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
703	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
704	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
705	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
706	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
707	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
708	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
709	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
710	#681	—	2	2	no	—
711	C₂×#168	—	2	2	no	—
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	C₂×#168	C₂⁴	1	1	yes	characteristic
714	C₂×#168	C₂⁴	1	1	yes	characteristic
715	C₂×#168	C₂⁴	1	1	yes	characteristic
716	Dic₂₀	—	2	2	no	—
717	Dic₂₀	—	2	2	no	—
718	#677	—	2	2	no	—
719	#677	—	2	2	no	—
720	#676	—	2	2	no	—
721	#676	—	2	2	no	—
722	#676	#41	1	4	yes	complemented
723	#676	#41	1	4	yes	complemented
724	C₈×D₅	—	2	2	no	—
725	C₈×D₅	—	2	2	no	—
726	C₈×D₅	—	2	2	no	—
727	C₈×D₅	—	2	2	no	—
728	C₂×#137	—	5	1	no	—
729	C₂×#137	—	5	1	no	—
730	C₂×#137	—	5	1	no	—
731	C₂×#137	—	5	1	no	—
732	C₂×#131	—	5	1	no	—
733	C₂×#131	—	5	1	no	—
734	#557	—	10	1	no	—
735	#557	—	10	1	no	—
736	#556	—	10	1	no	—
737	#556	—	10	1	no	—
738	#556	—	10	1	no	—
739	#555	—	10	1	no	—
740	#554	—	10	1	no	—
741	#553	—	10	1	no	—
742	#553	—	10	1	no	—
743	#552	—	10	1	no	—
744	#552	—	10	1	no	—
745	#552	—	10	1	no	—
746	#552	—	10	1	no	—
747	#548	—	10	1	no	—
748	#548	—	10	1	no	—
749	#547	—	10	1	no	—
750	#542	—	5	1	no	—
751	#542	—	5	1	no	—
752	#542	—	5	1	no	—
753	#542	C₂×D₅	1	1	yes	characteristic
754	#541	—	5	1	no	—
755	#541	—	5	1	no	—
756	#541	—	5	1	no	—
757	#541	C₂×D₅	1	1	yes	characteristic
758	#537	—	5	1	no	—
759	#537	—	5	1	no	—
760	#536	—	5	1	no	—
761	#536	—	5	1	no	—
762	#533	—	5	1	no	—
763	#533	—	5	1	no	—
764	#533	—	5	1	no	—
765	#533	—	5	1	no	—
766	#533	—	5	1	no	—
767	#533	—	5	1	no	—
768	#533	—	5	1	no	—
769	#532	—	5	1	no	—
770	#532	—	5	1	no	—
771	#532	—	5	1	no	—
772	C₂×C₄⋊Q₈	—	5	1	no	—
773	C₂×C₄⋊Q₈	—	5	1	no	—
774	#520	—	5	1	no	—
775	#520	—	5	1	no	—
776	#519	—	5	1	no	—
777	#519	—	5	1	no	—
778	C₄×#41	—	5	1	no	—
779	#501	—	5	1	no	—
780	#501	—	5	1	no	—
781	#501	—	5	1	no	—
782	#501	C₂×D₅	1	1	yes	characteristic
783	#500	—	5	1	no	—
784	#500	—	5	1	no	—
785	#498	—	5	1	no	—
786	#498	—	5	1	no	—
787	#497	—	5	1	no	—
788	#497	—	5	1	no	—
789	#497	—	5	1	no	—
790	#497	C₂×D₅	1	1	yes	characteristic
791	#494	—	5	1	no	—
792	#494	—	5	1	no	—
793	#492	—	5	1	no	—
794	#492	—	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
799	#487	—	5	1	no	—
800	#487	—	5	1	no	—
801	#487	—	5	1	no	—
802	#487	—	5	1	no	—
803	#487	—	5	1	no	—
804	#487	—	5	1	no	—
805	#487	—	5	1	no	—
806	#487	—	5	1	no	—
807	#487	—	5	1	no	—
808	#487	C₂×D₅	1	1	yes	characteristic
809	#486	—	5	1	no	—
810	#486	—	5	1	no	—
811	#470	—	5	1	no	—
812	#470	—	5	1	no	—
813	#470	—	5	1	no	—
814	#470	—	5	1	no	—
815	#470	—	5	1	no	—
816	#470	—	5	1	no	—
817	#470	—	5	1	no	—
818	#470	C₂×D₅	1	1	yes	characteristic
819	#468	—	5	1	no	—
820	#468	—	5	1	no	—
821	#468	—	5	1	no	—
822	#468	—	5	1	no	—
823	#468	—	5	1	no	—
824	#468	—	5	1	no	—
825	#468	—	5	1	no	—
826	#468	C₂×D₅	1	1	yes	characteristic
827	#467	—	5	1	no	—
828	#467	—	5	1	no	—
829	#467	—	5	1	no	—
830	#467	—	5	1	no	—
831	#467	—	5	1	no	—
832	#467	—	5	1	no	—
833	#467	—	5	1	no	—
834	#467	C₂×D₅	1	1	yes	characteristic
835	#465	—	5	1	no	—
836	#465	—	5	1	no	—
837	#465	—	5	1	no	—
838	#465	—	5	1	no	—
839	#465	—	5	1	no	—
840	#465	—	5	1	no	—
841	#465	—	5	1	no	—
842	#465	C₂×D₅	1	1	yes	characteristic
843	#441	—	5	1	no	—
844	#441	—	5	1	no	—
845	#441	—	5	1	no	—
846	#441	—	5	1	no	—
847	#441	—	5	1	no	—
848	#441	—	5	1	no	—
849	#441	—	5	1	no	—
850	#441	C₂×D₅	1	1	yes	characteristic
851	#440	—	5	1	no	—
852	#440	—	5	1	no	—
853	#440	—	5	1	no	—
854	#440	—	5	1	no	—
855	#440	—	5	1	no	—
856	#440	—	5	1	no	—
857	#440	—	5	1	no	—
858	#440	C₂×D₅	1	1	yes	characteristic
859	C₄×Q₁₆	—	5	1	no	—
860	C₄×Q₁₆	—	5	1	no	—
861	C₄×Q₁₆	—	5	1	no	—
862	C₄×Q₁₆	—	5	1	no	—
863	C₄×Q₁₆	—	5	1	no	—
864	C₄×Q₁₆	—	5	1	no	—
865	C₄×Q₁₆	—	5	1	no	—
866	C₄×Q₁₆	C₂×D₅	1	1	yes	characteristic
867	C₄×SD₁₆	—	5	1	no	—
868	C₄×SD₁₆	—	5	1	no	—
869	C₄×SD₁₆	—	5	1	no	—
870	C₄×SD₁₆	—	5	1	no	—
871	C₄×SD₁₆	—	5	1	no	—
872	C₄×SD₁₆	—	5	1	no	—
873	C₄×SD₁₆	—	5	1	no	—
874	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
875	#428	—	5	1	no	—
876	#428	—	5	1	no	—
877	#428	—	5	1	no	—
878	#428	—	5	1	no	—
879	#416	—	5	1	no	—
880	#416	—	5	1	no	—
881	#416	—	5	1	no	—
882	#416	—	5	1	no	—
883	C₂×#103	—	5	1	no	—
884	C₂×#103	—	5	1	no	—
885	C₂×#103	—	5	1	no	—
886	C₂×#103	—	5	1	no	—
887	#405	—	5	1	no	—
888	#405	—	5	1	no	—
889	#405	—	5	1	no	—
890	#405	—	5	1	no	—
891	#405	—	5	1	no	—
892	#405	C₂×D₅	1	1	yes	characteristic
893	C₄×M₁₆	—	5	1	no	—
894	C₄×M₁₆	—	5	1	no	—
895	C₄×M₁₆	—	5	1	no	—
896	C₂×C₄×C₈	—	5	1	no	—
897	C₂×C₄×C₈	—	5	1	no	—
898	C₂×C₄×C₈	—	5	1	no	—
899	C₂³×C₅	—	2	1	no	—
900	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
901	C₂²×D₅	—	2	1	no	—
902	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
903	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
904	C₅×Q₈	—	2	1	no	—
905	C₅×Q₈	—	2	1	no	—
906	C₅×Q₈	—	2	1	no	—
907	C₅×Q₈	—	2	1	no	—
908	C₅×Q₈	—	2	1	no	—
909	C₅×Q₈	—	2	1	no	—
910	C₅×Q₈	—	8	1	no	—
911	C₅×D₄	—	2	1	no	—
912	C₅×D₄	—	2	1	no	—
913	C₅×D₄	—	8	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	2	1	no	—
916	C₂×C₄×C₅	—	2	1	no	—
917	C₂×C₄×C₅	—	2	1	no	—
918	C₂×C₄×C₅	—	2	1	no	—
919	C₂×C₄×C₅	—	2	1	no	—
920	C₂×C₄×C₅	—	2	1	no	—
921	C₂×C₄×C₅	—	2	1	no	—
922	C₂×C₄×C₅	—	2	1	no	—
923	C₂×C₄×C₅	—	8	1	no	—
924	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
925	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
926	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
927	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
928	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
929	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
930	C₂²⋊D₅	—	2	2	no	—
931	C₂²⋊D₅	—	2	2	no	—
932	C₂²⋊D₅	—	4	2	no	—
933	C₂²⋊D₅	—	4	2	no	—
934	C₂²⋊D₅	—	4	2	no	—
935	C₂²⋊D₅	—	8	1	no	—
936	C₂²⋊D₅	—	8	1	no	—
937	C₂×Dic₅	—	2	2	no	—
938	C₂×Dic₅	—	2	2	no	—
939	C₂×Dic₅	—	2	1	no	—
940	C₂×Dic₅	—	2	1	no	—
941	C₂×Dic₅	—	2	1	no	—
942	C₂×Dic₅	—	2	1	no	—
943	C₂×Dic₅	—	2	1	no	—
944	C₂×Dic₅	—	2	1	no	—
945	C₂×Dic₅	—	2	1	no	—
946	C₂×Dic₅	—	4	2	no	—
947	C₂×Dic₅	—	8	1	no	—
948	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
949	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
950	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
951	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
952	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
953	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
954	D₂₀	—	2	2	no	—
955	D₂₀	—	2	1	no	—
956	D₂₀	—	2	1	no	—
957	D₂₀	—	4	2	no	—
958	D₂₀	—	8	1	no	—
959	C₄×D₅	—	2	1	no	—
960	C₄×D₅	—	2	1	no	—
961	C₄×D₅	—	2	2	no	—
962	C₄×D₅	—	2	2	no	—
963	C₄×D₅	—	2	2	no	—
964	C₄×D₅	—	2	2	no	—
965	C₄×D₅	—	4	2	no	—
966	C₄×D₅	—	4	2	no	—
967	C₄×D₅	—	4	2	no	—
968	C₄×D₅	—	8	1	no	—
969	C₄×D₅	—	8	1	no	—
970	C₄×D₅	—	8	1	no	—
971	C₄×D₅	—	8	1	no	—
972	C₄×D₅	C₂×#41	1	2	yes	—
973	C₄×D₅	C₂×#41	1	2	yes	—
974	Dic₁₀	—	2	2	no	—
975	Dic₁₀	—	2	1	no	—
976	Dic₁₀	—	2	1	no	—
977	Dic₁₀	—	2	1	no	—
978	Dic₁₀	—	2	1	no	—
979	Dic₁₀	—	2	1	no	—
980	Dic₁₀	—	2	1	no	—
981	Dic₁₀	—	4	2	no	—
982	Dic₁₀	—	4	2	no	—
983	Dic₁₀	—	4	2	no	—
984	Dic₁₀	—	4	2	no	—
985	Dic₁₀	—	4	2	no	—
986	Dic₁₀	—	4	2	no	—
987	Dic₁₀	—	8	1	no	—
988	C₅×C₈	—	2	1	no	—
989	C₅×C₈	—	2	1	no	—
990	C₅×C₈	C₂×#41	1	2	yes	—
991	C₅×C₈	C₂×#41	1	2	yes	—
992	#168	—	2	1	no	—
993	#168	—	2	1	no	—
994	#168	C₂×#41	1	2	yes	—
995	#168	C₂×#41	1	2	yes	—
996	C₂×#41	—	5	1	no	—
997	C₂×#41	—	5	1	no	—
998	C₂×#41	—	5	1	no	—
999	C₂×#41	—	10	1	no	—
1000	C₂×#41	—	10	1	no	—
1001	C₂²×Q₈	—	5	1	no	—
1002	C₂²×Q₈	—	5	1	no	—
1003	C₂²×Q₈	—	10	1	no	—
1004	#137	—	10	4	no	—
1005	#137	—	10	4	no	—
1006	#137	—	10	4	no	—
1007	#137	—	10	4	no	—
1008	C₂×Q₁₆	—	5	1	no	—
1009	C₂×Q₁₆	—	5	1	no	—
1010	C₂×Q₁₆	—	5	1	no	—
1011	C₂×Q₁₆	—	5	1	no	—
1012	C₂×Q₁₆	—	5	1	no	—
1013	C₂×Q₁₆	—	5	1	no	—
1014	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1015	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1016	C₂×SD₁₆	—	5	1	no	—
1017	C₂×SD₁₆	—	5	1	no	—
1018	C₂×SD₁₆	—	5	1	no	—
1019	C₂×SD₁₆	—	5	1	no	—
1020	C₂×SD₁₆	—	5	1	no	—
1021	C₂×SD₁₆	—	5	1	no	—
1022	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1023	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1024	#131	—	10	4	no	—
1025	#131	—	10	4	no	—
1026	C₂×M₁₆	—	5	1	no	—
1027	C₂×M₁₆	—	5	1	no	—
1028	C₂×M₁₆	—	5	1	no	—
1029	C₂×M₁₆	—	5	1	no	—
1030	C₂×M₁₆	—	5	1	no	—
1031	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
1032	C₂²×C₈	—	5	1	no	—
1033	C₂²×C₈	—	5	1	no	—
1034	C₂²×C₈	—	5	1	no	—
1035	C₂²×C₈	—	5	1	no	—
1036	C₂²×C₈	—	5	1	no	—
1037	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1038	C₄⋊Q₈	—	5	1	no	—
1039	C₄⋊Q₈	—	5	1	no	—
1040	C₄⋊Q₈	—	5	1	no	—
1041	C₄⋊Q₈	—	5	1	no	—
1042	C₄⋊Q₈	—	5	1	no	—
1043	C₄⋊Q₈	—	5	1	no	—
1044	C₄⋊Q₈	—	5	1	no	—
1045	C₄⋊Q₈	—	5	1	no	—
1046	C₄⋊Q₈	—	5	1	no	—
1047	C₄⋊Q₈	—	10	1	no	—
1048	C₄⋊Q₈	—	10	1	no	—
1049	C₄⋊Q₈	—	10	1	no	—
1050	C₄⋊Q₈	—	10	1	no	—
1051	C₄⋊Q₈	—	10	1	no	—
1052	C₄⋊Q₈	—	10	1	no	—
1053	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1054	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1055	#127	—	5	1	no	—
1056	#126	—	2	1	no	—
1057	#126	—	2	1	no	—
1058	#126	—	2	1	no	—
1059	#126	—	10	1	no	—
1060	#126	—	10	1	no	—
1061	#126	—	10	1	no	—
1062	#126	—	10	1	no	—
1063	#126	—	10	1	no	—
1064	#126	—	10	1	no	—
1065	#126	—	10	1	no	—
1066	#126	—	10	1	no	—
1067	#126	—	10	1	no	—
1068	#125	—	2	1	no	—
1069	#125	—	2	1	no	—
1070	#125	—	5	1	no	—
1071	#125	—	10	1	no	—
1072	#125	—	10	1	no	—
1073	#125	—	10	1	no	—
1074	#125	—	10	1	no	—
1075	#125	—	10	1	no	—
1076	#125	—	10	1	no	—
1077	#125	—	10	1	no	—
1078	#125	—	10	1	no	—
1079	#125	—	10	1	no	—
1080	#125	—	10	1	no	—
1081	#125	—	10	1	no	—
1082	#125	—	10	1	no	—
1083	#125	C₂²×D₅	1	1	yes	characteristic
1084	#124	—	2	1	no	—
1085	#124	—	5	1	no	—
1086	#124	—	10	1	no	—
1087	#124	—	10	1	no	—
1088	#124	—	10	1	no	—
1089	#124	—	10	1	no	—
1090	#124	—	10	1	no	—
1091	#124	—	10	1	no	—
1092	#124	—	10	1	no	—
1093	#124	C₂²×D₅	1	1	yes	characteristic
1094	#123	—	2	1	no	—
1095	#123	—	10	1	no	—
1096	#123	—	10	1	no	—
1097	#123	—	10	1	no	—
1098	#123	—	10	1	no	—
1099	#123	—	10	1	no	—
1100	#123	—	10	1	no	—
1101	#123	—	10	1	no	—
1102	C₂²⋊Q₈	—	2	1	no	—
1103	C₂²⋊Q₈	—	5	1	no	—
1104	C₂²⋊Q₈	—	5	1	no	—
1105	C₂²⋊Q₈	—	5	1	no	—
1106	C₂²⋊Q₈	—	5	1	no	—
1107	C₂²⋊Q₈	—	5	1	no	—
1108	C₂²⋊Q₈	—	5	1	no	—
1109	C₂²⋊Q₈	—	5	1	no	—
1110	C₂²⋊Q₈	—	5	1	no	—
1111	C₂²⋊Q₈	—	5	1	no	—
1112	C₂²⋊Q₈	—	10	1	no	—
1113	C₂²⋊Q₈	—	10	1	no	—
1114	C₂²⋊Q₈	—	10	1	no	—
1115	C₂²⋊Q₈	—	10	1	no	—
1116	C₂²⋊Q₈	—	10	1	no	—
1117	C₂²⋊Q₈	—	10	1	no	—
1118	C₂²⋊Q₈	—	10	1	no	—
1119	C₂²⋊Q₈	—	10	1	no	—
1120	C₂²⋊Q₈	—	10	1	no	—
1121	C₂²⋊Q₈	—	10	1	no	—
1122	C₂²⋊Q₈	—	10	1	no	—
1123	C₂²⋊Q₈	—	10	1	no	—
1124	C₂²⋊Q₈	—	10	1	no	—
1125	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1128	#121	—	5	1	no	—
1129	#121	—	5	1	no	—
1130	#121	—	5	1	no	—
1131	#121	—	10	1	no	—
1132	#121	—	10	1	no	—
1133	#121	—	10	1	no	—
1134	#121	—	10	1	no	—
1135	#121	—	10	1	no	—
1136	#121	—	10	1	no	—
1137	#121	—	10	1	no	—
1138	#121	—	10	1	no	—
1139	#121	—	10	1	no	—
1140	#121	—	10	1	no	—
1141	#121	C₂²×D₅	1	1	yes	characteristic
1142	C₄×Q₈	—	5	1	no	—
1143	C₄×Q₈	—	5	1	no	—
1144	C₄×Q₈	—	5	1	no	—
1145	C₄×Q₈	—	5	1	no	—
1146	C₄×Q₈	—	5	1	no	—
1147	C₄×Q₈	—	5	1	no	—
1148	C₄×Q₈	—	5	1	no	—
1149	C₄×Q₈	—	5	1	no	—
1150	C₄×Q₈	—	5	1	no	—
1151	C₄×Q₈	—	5	1	no	—
1152	C₄×Q₈	—	5	1	no	—
1153	C₄×Q₈	—	10	1	no	—
1154	C₄×Q₈	—	10	1	no	—
1155	C₄×Q₈	—	10	1	no	—
1156	C₄×Q₈	—	10	1	no	—
1157	C₄×Q₈	—	10	1	no	—
1158	C₄×Q₈	—	10	1	no	—
1159	C₄×Q₈	—	10	1	no	—
1160	C₄×Q₈	—	10	1	no	—
1161	C₄×Q₈	—	10	1	no	—
1162	C₄×Q₈	—	10	1	no	—
1163	C₄×Q₈	—	10	1	no	—
1164	C₄×Q₈	—	10	1	no	—
1165	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1166	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1167	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1168	C₄×D₄	—	5	1	no	—
1169	C₄×D₄	—	5	1	no	—
1170	C₄×D₄	—	5	1	no	—
1171	C₄×D₄	—	5	1	no	—
1172	C₄×D₄	—	5	1	no	—
1173	C₄×D₄	—	5	1	no	—
1174	C₄×D₄	—	5	1	no	—
1175	C₄×D₄	—	5	1	no	—
1176	C₄×D₄	—	5	1	no	—
1177	C₄×D₄	—	10	1	no	—
1178	C₄×D₄	—	10	1	no	—
1179	C₄×D₄	—	10	1	no	—
1180	C₄×D₄	—	10	1	no	—
1181	C₄×D₄	—	10	1	no	—
1182	C₄×D₄	—	10	1	no	—
1183	C₄×D₄	—	10	1	no	—
1184	C₄×D₄	—	10	1	no	—
1185	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1186	#117	—	5	1	no	—
1187	#117	—	5	1	no	—
1188	#117	—	5	1	no	—
1189	#117	—	5	1	no	—
1190	#117	—	10	1	no	—
1191	#117	—	10	1	no	—
1192	#117	—	10	1	no	—
1193	#117	—	10	1	no	—
1194	#117	—	10	1	no	—
1195	#117	—	10	1	no	—
1196	#117	—	10	1	no	—
1197	#117	—	10	1	no	—
1198	#117	—	10	1	no	—
1199	#117	—	10	1	no	—
1200	#117	—	10	1	no	—
1201	#117	—	10	1	no	—
1202	#117	C₂²×D₅	1	1	yes	characteristic
1203	C₂×C₄⋊C₄	—	5	1	no	—
1204	C₂×C₄⋊C₄	—	5	1	no	—
1205	C₂×C₄⋊C₄	—	10	1	no	—
1206	C₂×C₄⋊C₄	—	10	1	no	—
1207	C₂×C₄⋊C₄	—	10	1	no	—
1208	C₂×C₄⋊C₄	—	10	1	no	—
1209	C₂×C₄⋊C₄	—	10	1	no	—
1210	C₂×C₄²	—	5	1	no	—
1211	C₂×C₄²	—	5	1	no	—
1212	C₂×C₄²	—	5	1	no	—
1213	#107	—	5	1	no	—
1214	#107	—	5	1	no	—
1215	#107	—	5	1	no	—
1216	#107	—	5	1	no	—
1217	#107	—	5	1	no	—
1218	#107	—	5	1	no	—
1219	#107	C₂²×D₅	1	1	yes	characteristic
1220	#107	C₂²×D₅	1	1	yes	characteristic
1221	#106	—	5	1	no	—
1222	#106	—	5	1	no	—
1223	#106	—	5	1	no	—
1224	#106	—	5	1	no	—
1225	#106	—	5	1	no	—
1226	#106	—	5	1	no	—
1227	#106	C₂²×D₅	1	1	yes	characteristic
1228	#106	C₂²×D₅	1	1	yes	characteristic
1229	#103	—	5	1	no	—
1230	#103	—	5	1	no	—
1231	#103	—	5	1	no	—
1232	#103	—	5	1	no	—
1233	#103	—	5	1	no	—
1234	#103	—	5	1	no	—
1235	#103	—	5	1	no	—
1236	#103	—	5	1	no	—
1237	#103	—	5	1	no	—
1238	#103	—	5	1	no	—
1239	#103	—	5	1	no	—
1240	#103	—	5	1	no	—
1241	#103	—	5	1	no	—
1242	#103	—	5	1	no	—
1243	#103	—	5	1	no	—
1244	#103	—	5	1	no	—
1245	#103	—	5	1	no	—
1246	#103	—	5	1	no	—
1247	#103	C₂²×D₅	1	1	yes	characteristic
1248	#103	C₂²×D₅	1	1	yes	characteristic
1249	#103	C₂²×D₅	1	1	yes	characteristic
1250	#103	C₂²×D₅	1	1	yes	characteristic
1251	#103	C₂²×D₅	1	1	yes	characteristic
1252	#103	C₂²×D₅	1	1	yes	characteristic
1253	#102	—	5	1	no	—
1254	#102	—	5	1	no	—
1255	#102	—	5	1	no	—
1256	#102	—	5	1	no	—
1257	#102	—	5	1	no	—
1258	#102	—	5	1	no	—
1259	#102	C₂²×D₅	1	1	yes	characteristic
1260	#102	C₂²×D₅	1	1	yes	characteristic
1261	#97	—	5	1	no	—
1262	#97	—	5	1	no	—
1263	#97	—	5	1	no	—
1264	#97	—	5	1	no	—
1265	#97	C₂²×D₅	1	1	yes	characteristic
1266	#97	C₂²×D₅	1	1	yes	characteristic
1267	C₄×C₈	—	5	1	no	—
1268	C₄×C₈	—	5	1	no	—
1269	C₄×C₈	—	5	1	no	—
1270	C₄×C₈	—	5	1	no	—
1271	C₄×C₈	—	5	1	no	—
1272	C₄×C₈	—	5	1	no	—
1273	C₄×C₈	—	5	1	no	—
1274	C₄×C₈	—	5	1	no	—
1275	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1276	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1277	C₂²×C₅	—	2	1	no	—
1278	C₂²×C₅	—	2	1	no	—
1279	C₂²×C₅	—	2	1	no	—
1280	C₂²×C₅	—	4	1	no	—
1281	C₂²×C₅	—	4	1	no	—
1282	C₂²×C₅	—	4	1	no	—
1283	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1284	C₂×D₅	—	2	1	no	—
1285	C₂×D₅	—	2	1	no	—
1286	C₂×D₅	—	2	1	no	—
1287	C₂×D₅	—	2	1	no	—
1288	C₂×D₅	—	2	1	no	—
1289	C₂×D₅	—	4	1	no	—
1290	C₂×D₅	—	4	1	no	—
1291	C₂×D₅	—	4	1	no	—
1292	C₂×D₅	#532	1	2	yes	—
1293	C₄×C₅	—	2	1	no	—
1294	C₄×C₅	—	2	1	no	—
1295	C₄×C₅	—	2	1	no	—
1296	C₄×C₅	—	2	1	no	—
1297	C₄×C₅	—	2	1	no	—
1298	C₄×C₅	—	4	1	no	—
1299	C₄×C₅	—	4	1	no	—
1300	C₄×C₅	—	4	1	no	—
1301	C₄×C₅	—	4	1	no	—
1302	C₄×C₅	—	4	1	no	—
1303	C₄×C₅	—	4	1	no	—
1304	C₄×C₅	—	4	1	no	—
1305	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1306	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1307	Dic₅	—	2	1	no	—
1308	Dic₅	—	2	1	no	—
1309	Dic₅	—	2	1	no	—
1310	Dic₅	—	4	1	no	—
1311	Dic₅	—	4	1	no	—
1312	Dic₅	—	4	1	no	—
1313	Dic₅	—	4	1	no	—
1314	Dic₅	—	4	1	no	—
1315	Dic₅	—	4	1	no	—
1316	Dic₅	—	4	1	no	—
1317	Dic₅	#532	1	2	yes	—
1318	Dic₅	#577	1	2	yes	—
1319	Dic₅	#578	1	2	yes	—
1320	#41	—	10	2	no	—
1321	#41	—	10	2	no	—
1322	#41	—	10	2	no	—
1323	#41	—	10	2	no	—
1324	#41	—	10	2	no	—
1325	#41	—	10	2	no	—
1326	#41	—	40	2	no	—
1327	#41	—	40	2	no	—
1328	C₂×Q₈	—	2	1	no	—
1329	C₂×Q₈	—	5	1	no	—
1330	C₂×Q₈	—	5	1	no	—
1331	C₂×Q₈	—	5	1	no	—
1332	C₂×Q₈	—	5	1	no	—
1333	C₂×Q₈	—	10	1	no	—
1334	C₂×Q₈	—	10	1	no	—
1335	C₂×Q₈	—	10	1	no	—
1336	C₂×Q₈	—	10	1	no	—
1337	C₂×Q₈	—	10	1	no	—
1338	C₂×Q₈	—	10	1	no	—
1339	C₂×Q₈	—	10	2	no	—
1340	C₂×Q₈	—	10	2	no	—
1341	C₂×Q₈	—	10	2	no	—
1342	C₂×Q₈	—	10	2	no	—
1343	C₂×Q₈	—	10	1	no	—
1344	C₂×Q₈	—	40	2	no	—
1345	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1346	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1347	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1348	C₂×D₄	—	2	1	no	—
1349	C₂×D₄	—	5	1	no	—
1350	C₂×D₄	—	5	1	no	—
1351	C₂×D₄	—	5	1	no	—
1352	C₂×D₄	—	5	1	no	—
1353	C₂×D₄	—	10	1	no	—
1354	C₂×D₄	—	10	1	no	—
1355	C₂×D₄	—	10	1	no	—
1356	C₂×D₄	—	10	1	no	—
1357	C₂×D₄	—	10	1	no	—
1358	C₂×D₄	—	10	1	no	—
1359	C₂×D₄	—	10	1	no	—
1360	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1361	C₂²×C₄	—	2	1	no	—
1362	C₂²×C₄	—	5	1	no	—
1363	C₂²×C₄	—	5	1	no	—
1364	C₂²×C₄	—	5	1	no	—
1365	C₂²×C₄	—	5	1	no	—
1366	C₂²×C₄	—	5	1	no	—
1367	C₂²×C₄	—	5	1	no	—
1368	C₂²×C₄	—	5	1	no	—
1369	C₂²×C₄	—	5	1	no	—
1370	C₂²×C₄	—	10	1	no	—
1371	C₂²×C₄	—	10	1	no	—
1372	C₂²×C₄	—	10	1	no	—
1373	C₂²×C₄	—	10	1	no	—
1374	C₂²×C₄	—	10	1	no	—
1375	C₂²×C₄	—	10	1	no	—
1376	C₂²×C₄	—	10	1	no	—
1377	C₂²×C₄	—	10	1	no	—
1378	C₂²×C₄	—	10	1	no	—
1379	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1380	Q₁₆	—	2	2	no	—
1381	Q₁₆	—	2	2	no	—
1382	Q₁₆	—	10	2	no	—
1383	Q₁₆	—	10	2	no	—
1384	Q₁₆	—	10	2	no	—
1385	Q₁₆	—	10	2	no	—
1386	Q₁₆	—	10	2	no	—
1387	Q₁₆	—	10	2	no	—
1388	SD₁₆	—	2	2	no	—
1389	SD₁₆	—	2	2	no	—
1390	SD₁₆	—	10	2	no	—
1391	SD₁₆	—	10	2	no	—
1392	SD₁₆	—	10	2	no	—
1393	SD₁₆	—	10	2	no	—
1394	SD₁₆	—	10	2	no	—
1395	SD₁₆	—	10	2	no	—
1396	M₁₆	—	2	2	no	—
1397	M₁₆	—	5	4	no	—
1398	M₁₆	—	5	4	no	—
1399	M₁₆	—	10	2	no	—
1400	M₁₆	—	10	2	no	—
1401	M₁₆	—	10	2	no	—
1402	C₂×C₈	—	2	2	no	—
1403	C₂×C₈	—	5	1	no	—
1404	C₂×C₈	—	5	1	no	—
1405	C₂×C₈	—	5	1	no	—
1406	C₂×C₈	—	5	1	no	—
1407	C₂×C₈	—	10	2	no	—
1408	C₂×C₈	—	10	2	no	—
1409	C₂×C₈	—	10	2	no	—
1410	C₂×C₈	—	10	2	no	—
1411	C₂×C₈	—	10	2	no	—
1412	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1413	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1414	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1415	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	2	1	no	—
1421	C₄⋊C₄	—	2	1	no	—
1422	C₄⋊C₄	—	2	1	no	—
1423	C₄⋊C₄	—	2	1	no	—
1424	C₄⋊C₄	—	2	1	no	—
1425	C₄⋊C₄	—	2	1	no	—
1426	C₄⋊C₄	—	2	1	no	—
1427	C₄⋊C₄	—	5	1	no	—
1428	C₄⋊C₄	—	5	1	no	—
1429	C₄⋊C₄	—	5	1	no	—
1430	C₄⋊C₄	—	5	1	no	—
1431	C₄⋊C₄	—	5	1	no	—
1432	C₄⋊C₄	—	5	1	no	—
1433	C₄⋊C₄	—	5	1	no	—
1434	C₄⋊C₄	—	5	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	—	10	1	no	—
1443	C₄⋊C₄	—	10	1	no	—
1444	C₄⋊C₄	—	10	1	no	—
1445	C₄⋊C₄	—	10	1	no	—
1446	C₄⋊C₄	—	10	1	no	—
1447	C₄⋊C₄	—	10	1	no	—
1448	C₄⋊C₄	—	10	1	no	—
1449	C₄⋊C₄	—	10	1	no	—
1450	C₄⋊C₄	—	10	1	no	—
1451	C₄⋊C₄	—	10	1	no	—
1452	C₄⋊C₄	—	10	1	no	—
1453	C₄⋊C₄	—	10	1	no	—
1454	C₄⋊C₄	—	10	1	no	—
1455	C₄⋊C₄	—	10	1	no	—
1456	C₄⋊C₄	—	10	1	no	—
1457	C₄⋊C₄	—	10	1	no	—
1458	C₄⋊C₄	—	10	1	no	—
1459	C₄⋊C₄	—	10	1	no	—
1460	C₄⋊C₄	—	10	1	no	—
1461	C₄⋊C₄	—	10	1	no	—
1462	C₄⋊C₄	—	10	1	no	—
1463	C₄⋊C₄	—	10	1	no	—
1464	C₄⋊C₄	—	10	1	no	—
1465	C₄⋊C₄	—	10	1	no	—
1466	C₄⋊C₄	—	10	1	no	—
1467	C₄⋊C₄	—	10	1	no	—
1468	C₄⋊C₄	—	10	1	no	—
1469	C₄⋊C₄	—	10	1	no	—
1470	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1471	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1472	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1473	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1474	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1475	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1476	C₂²⋊C₄	—	2	1	no	—
1477	C₂²⋊C₄	—	2	1	no	—
1478	C₂²⋊C₄	—	2	1	no	—
1479	C₂²⋊C₄	—	2	1	no	—
1480	C₂²⋊C₄	—	2	1	no	—
1481	C₂²⋊C₄	—	2	1	no	—
1482	C₂²⋊C₄	—	2	1	no	—
1483	C₂²⋊C₄	—	5	1	no	—
1484	C₂²⋊C₄	—	5	1	no	—
1485	C₂²⋊C₄	—	5	1	no	—
1486	C₂²⋊C₄	—	5	1	no	—
1487	C₂²⋊C₄	—	10	1	no	—
1488	C₂²⋊C₄	—	10	1	no	—
1489	C₂²⋊C₄	—	10	1	no	—
1490	C₂²⋊C₄	—	10	1	no	—
1491	C₂²⋊C₄	—	10	1	no	—
1492	C₂²⋊C₄	—	10	1	no	—
1493	C₂²⋊C₄	—	10	1	no	—
1494	C₂²⋊C₄	—	10	1	no	—
1495	C₂²⋊C₄	—	10	1	no	—
1496	C₂²⋊C₄	—	10	1	no	—
1497	C₂²⋊C₄	—	10	1	no	—
1498	C₂²⋊C₄	—	10	1	no	—
1499	C₂²⋊C₄	—	10	1	no	—
1500	C₂²⋊C₄	—	10	1	no	—
1501	C₂²⋊C₄	—	10	1	no	—
1502	C₂²⋊C₄	—	10	1	no	—
1503	C₂²⋊C₄	—	10	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1507	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1508	C₄²	—	2	1	no	—
1509	C₄²	—	2	1	no	—
1510	C₄²	—	2	1	no	—
1511	C₄²	—	5	1	no	—
1512	C₄²	—	5	1	no	—
1513	C₄²	—	5	1	no	—
1514	C₄²	—	5	1	no	—
1515	C₄²	—	5	1	no	—
1516	C₄²	—	5	1	no	—
1517	C₄²	—	5	1	no	—
1518	C₄²	—	5	1	no	—
1519	C₄²	—	10	1	no	—
1520	C₄²	—	10	1	no	—
1521	C₄²	—	10	1	no	—
1522	C₄²	—	10	1	no	—
1523	C₄²	—	10	1	no	—
1524	C₄²	—	10	1	no	—
1525	C₄²	—	10	1	no	—
1526	C₄²	—	10	1	no	—
1527	C₄²	—	10	1	no	—
1528	C₄²	—	10	1	no	—
1529	C₄²	—	10	1	no	—
1530	C₄²	C₂³×D₅	1	1	yes	characteristic
1531	C₄²	C₂³×D₅	1	1	yes	characteristic
1532	C₂×C₅	—	4	1	no	—
1533	C₂×C₅	—	8	1	no	—
1534	C₂×C₅	C₂×#532	1	1	yes	characteristic
1535	C₂×C₅	C₂×#577	1	1	yes	characteristic
1536	C₂×C₅	C₂×#578	1	1	yes	characteristic
1537	D₅	—	2	2	no	—
1538	D₅	—	4	1	no	—
1539	D₅	—	8	1	no	—
1540	C₂³	—	2	1	no	—
1541	C₂³	—	5	1	no	—
1542	C₂³	—	5	1	no	—
1543	C₂³	—	10	1	no	—
1544	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1545	Q₈	—	2	1	no	—
1546	Q₈	—	2	1	no	—
1547	Q₈	—	2	1	no	—
1548	Q₈	—	2	1	no	—
1549	Q₈	—	2	1	no	—
1550	Q₈	—	2	1	no	—
1551	Q₈	—	8	1	no	—
1552	Q₈	—	10	2	no	—
1553	Q₈	—	10	1	no	—
1554	Q₈	—	10	1	no	—
1555	Q₈	—	10	1	no	—
1556	Q₈	—	10	1	no	—
1557	Q₈	—	10	1	no	—
1558	Q₈	—	10	1	no	—
1559	Q₈	—	20	2	no	—
1560	Q₈	—	20	2	no	—
1561	Q₈	—	20	2	no	—
1562	Q₈	—	20	2	no	—
1563	Q₈	—	20	2	no	—
1564	Q₈	—	20	2	no	—
1565	Q₈	—	40	1	no	—
1566	D₄	—	2	1	no	—
1567	D₄	—	2	1	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	10	2	no	—
1570	D₄	—	10	2	no	—
1571	D₄	—	10	2	no	—
1572	D₄	—	10	1	no	—
1573	D₄	—	10	1	no	—
1574	D₄	—	20	2	no	—
1575	D₄	—	20	2	no	—
1576	D₄	—	20	2	no	—
1577	D₄	—	20	2	no	—
1578	D₄	—	40	1	no	—
1579	D₄	—	40	1	no	—
1580	D₄	—	40	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	1	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	5	1	no	—
1591	C₂×C₄	—	5	1	no	—
1592	C₂×C₄	—	5	1	no	—
1593	C₂×C₄	—	5	2	no	—
1594	C₂×C₄	—	5	2	no	—
1595	C₂×C₄	—	5	1	no	—
1596	C₂×C₄	—	5	1	no	—
1597	C₂×C₄	—	5	1	no	—
1598	C₂×C₄	—	8	1	no	—
1599	C₂×C₄	—	10	2	no	—
1600	C₂×C₄	—	10	2	no	—
1601	C₂×C₄	—	10	2	no	—
1602	C₂×C₄	—	10	2	no	—
1603	C₂×C₄	—	10	2	no	—
1604	C₂×C₄	—	10	2	no	—
1605	C₂×C₄	—	10	1	no	—
1606	C₂×C₄	—	10	1	no	—
1607	C₂×C₄	—	10	1	no	—
1608	C₂×C₄	—	10	1	no	—
1609	C₂×C₄	—	10	1	no	—
1610	C₂×C₄	—	10	1	no	—
1611	C₂×C₄	—	10	1	no	—
1612	C₂×C₄	—	10	1	no	—
1613	C₂×C₄	—	10	1	no	—
1614	C₂×C₄	—	20	2	no	—
1615	C₂×C₄	—	20	2	no	—
1616	C₂×C₄	—	20	2	no	—
1617	C₂×C₄	—	20	2	no	—
1618	C₂×C₄	—	40	1	no	—
1619	C₂×C₄	—	40	1	no	—
1620	C₂×C₄	—	40	1	no	—
1621	C₂×C₄	—	40	1	no	—
1622	C₂×C₄	—	40	1	no	—
1623	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1624	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1625	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1626	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1627	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1628	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1629	C₈	—	2	1	no	—
1630	C₈	—	2	1	no	—
1631	C₈	—	5	2	no	—
1632	C₈	—	5	2	no	—
1633	C₈	—	10	1	no	—
1634	C₈	—	10	1	no	—
1635	C₈	D₅×#41	1	2	yes	—
1636	C₈	D₅×#41	1	2	yes	—
1637	C₅	#60723	1	1	yes	characteristic, complemented, Sylow
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	5	2	no	—
1645	C₂²	—	10	1	no	—
1646	C₂²	—	10	1	no	—
1647	C₂²	—	10	1	no	—
1648	C₂²	—	10	1	no	—
1649	C₂²	—	10	1	no	—
1650	C₂²	—	20	1	no	—
1651	C₂²	—	20	1	no	—
1652	C₂²	—	20	1	no	—
1653	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1654	C₄	—	2	1	no	—
1655	C₄	—	2	1	no	—
1656	C₄	—	2	1	no	—
1657	C₄	—	2	1	no	—
1658	C₄	—	2	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	5	2	no	—
1667	C₄	—	5	2	no	—
1668	C₄	—	5	2	no	—
1669	C₄	—	10	1	no	—
1670	C₄	—	10	1	no	—
1671	C₄	—	10	1	no	—
1672	C₄	—	20	1	no	—
1673	C₄	—	20	1	no	—
1674	C₄	—	20	1	no	—
1675	C₄	—	20	1	no	—
1676	C₄	—	20	1	no	—
1677	C₄	—	20	1	no	—
1678	C₄	—	20	1	no	—
1679	C₄	C₂×D₅×#41	1	1	yes	characteristic
1680	C₄	C₂×D₅×#41	1	1	yes	characteristic
1681	C₂	—	4	1	no	—
1682	C₂	—	8	1	no	—
1683	C₂	—	10	2	no	—
1684	C₂	—	20	1	no	—
1685	C₂	—	40	1	no	—
1686	C₂	D₅×#532	1	1	yes	characteristic
1687	C₂	D₅×#577	1	1	yes	characteristic
1688	C₂	D₅×#578	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×#3178	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618427	C₂
hypercenter	#3178	D₅
hypocenter	C₅	#60723
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3178

Complements

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

N	H ≅ G/N	type
2. #10618411	C₂	semidirect
3. C₅×#3178	C₂	semidirect
4. #10615189	C₂	semidirect
5. #10615176	C₂	semidirect
6. #10613707	C₂	semidirect
7. #10613691	C₂	semidirect
8. #10613601	C₂	semidirect
9. #10613593	C₂	semidirect
10. #10613368	C₂	semidirect
11. #10613360	C₂	semidirect
12. D₅×#487	C₂	semidirect
13. #10613325	C₂	semidirect
14. #10612638	C₂	semidirect
15. #10612624	C₂	semidirect
16. #10612541	C₂	semidirect
17. #10612521	C₂	semidirect
18. #10612493	C₂	semidirect
19. #10612472	C₂	semidirect
20. #10612393	C₂	semidirect
21. #10612363	C₂	semidirect
22. #10611569	C₂	semidirect
23. #10611561	C₂	semidirect
24. #10611523	C₂	semidirect
25. #10611507	C₂	semidirect
26. #10611456	C₂	semidirect
27. #10611450	C₂	semidirect
28. #10611393	C₂	semidirect
29. #10611379	C₂	semidirect
30. #10610301	C₂	semidirect
31. #10610280	C₂	semidirect
498. #3178	D₅	semidirect
722. #676	#41	semidirect
723. #676	#41	semidirect
1637. C₅	#60723	semidirect

Maximal subgroups

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

subgroup	index
#10618427	2
#10618411	2
C₅×#3178	2
#10615189	2
#10615176	2
#10613707	2
#10613691	2
#10613601	2
#10613593	2
#10613368	2
#10613360	2
D₅×#487	2
#10613325	2
#10612638	2
#10612624	2
#10612541	2
#10612521	2
#10612493	2
#10612472	2
#10612393	2
#10612363	2
#10611569	2
#10611561	2
#10611523	2
#10611507	2
#10611456	2
#10611450	2
#10611393	2
#10611379	2
#10610301	2
#10610280	2
#60723	5