Subgroups — #12980637

Order 1280.

1844 conjugacy classes of subgroups.

The subgroup lattice has 1702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618921	C₂	1	1	yes	maximal, characteristic, complemented
2	#10618908	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3398	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615417	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615412	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613604	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613601	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613598	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613596	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613532	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613527	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612332	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612328	C₂	1	1	yes	maximal, characteristic
14	#10612321	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612320	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612210	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612209	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#462	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612202	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612200	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612199	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612162	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612154	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611692	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611686	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611561	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611560	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611552	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611552	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611379	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611370	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#557	C₂²	1	1	yes	characteristic
33	C₅×#556	C₂²	1	1	yes	characteristic
34	C₂×#4065	C₂²	1	1	yes	characteristic
35	C₂×#4064	C₂²	1	1	yes	characteristic
36	C₂×#4064	C₂²	1	1	yes	characteristic
37	C₂×#4064	C₂²	1	1	yes	characteristic
38	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
39	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
40	C₂×#4062	C₂²	1	1	yes	characteristic
41	C₂×#4061	C₂²	1	1	yes	characteristic
42	C₂×#4061	C₂²	1	1	yes	characteristic
43	#66066	C₂²	1	1	yes	characteristic
44	#66058	C₂²	1	1	yes	characteristic
45	#66058	C₂²	1	1	yes	characteristic
46	#66058	C₂²	1	1	yes	characteristic
47	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
48	#66055	C₂²	1	1	yes	characteristic
49	#66055	C₂²	1	1	yes	characteristic
50	#66055	C₂²	1	1	yes	characteristic
51	#66042	—	2	1	no	—
52	#66041	—	2	1	no	—
53	#66040	—	2	1	no	—
54	#66036	—	2	1	no	—
55	#66030	—	2	1	no	—
56	#66030	—	2	1	no	—
57	#66028	—	2	1	no	—
58	#66027	—	2	1	no	—
59	#66027	—	2	1	no	—
60	#66022	—	2	1	no	—
61	#66015	C₂²	1	1	yes	characteristic
62	#66009	C₂²	1	1	yes	characteristic
63	#66005	C₂²	1	1	yes	characteristic
64	#66002	C₂²	1	1	yes	characteristic
65	#65972	—	2	1	no	—
66	#65970	—	2	1	no	—
67	#65918	C₂²	1	1	yes	characteristic
68	#65918	C₂²	1	1	yes	characteristic
69	#65915	—	2	1	no	—
70	#65912	—	2	1	no	—
71	#65912	C₂²	1	1	yes	characteristic
72	#65908	C₂²	1	1	yes	characteristic
73	C₄×#713	C₂²	1	1	yes	characteristic
74	#65906	C₂²	1	1	yes	characteristic
75	#65906	C₂²	1	1	yes	characteristic
76	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
77	#65902	C₂²	1	1	yes	characteristic
78	#65902	C₂²	1	1	yes	characteristic
79	#65902	C₂²	1	1	yes	characteristic
80	#65901	C₂²	1	1	yes	characteristic
81	#65901	C₂²	1	1	yes	characteristic
82	#65893	C₂²	1	1	yes	characteristic
83	#65880	C₂²	1	1	yes	characteristic
84	#65865	—	2	1	no	—
85	#65862	—	2	1	no	—
86	C₅×#497	C₂²	1	1	yes	characteristic
87	C₅×#497	C₂²	1	1	yes	characteristic
88	C₅×#494	C₂²	1	1	yes	characteristic
89	C₅×#464	C₂²	1	1	yes	characteristic
90	C₅×#464	C₂²	1	1	yes	characteristic
91	C₅×#462	C₂²	1	1	yes	characteristic
92	C₅×#462	C₂²	1	1	yes	characteristic
93	C₅×#462	C₂²	1	1	yes	characteristic
94	C₅×#461	C₂²	1	1	yes	characteristic
95	C₅×#446	C₂²	1	1	yes	characteristic
96	C₅×#441	C₂²	1	1	yes	characteristic
97	C₅×#441	C₂²	1	1	yes	characteristic
98	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
99	#65480	C₂²	1	1	yes	characteristic
100	#65479	C₂²	1	1	yes	characteristic
101	#65479	C₂²	1	1	yes	characteristic
102	#65479	C₂²	1	1	yes	characteristic
103	#65474	C₂²	1	1	yes	characteristic
104	#65474	C₂²	1	1	yes	characteristic
105	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
106	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
107	#65471	C₂²	1	1	yes	characteristic
108	#65471	C₂²	1	1	yes	characteristic
109	#65471	C₂²	1	1	yes	characteristic
110	#65471	C₂²	1	1	yes	characteristic
111	#65471	C₂²	1	1	yes	characteristic
112	#65471	C₂²	1	1	yes	characteristic
113	#65470	C₂²	1	1	yes	characteristic
114	#65470	C₂²	1	1	yes	characteristic
115	#65470	C₂²	1	1	yes	characteristic
116	#65470	C₂²	1	1	yes	characteristic
117	#65464	C₂²	1	1	yes	characteristic
118	#65464	C₂²	1	1	yes	characteristic
119	#65457	C₂²	1	1	yes	characteristic
120	#65456	C₂²	1	1	yes	characteristic
121	#65455	C₂²	1	1	yes	characteristic
122	#65454	C₂²	1	1	yes	characteristic
123	#65453	C₂²	1	1	yes	characteristic
124	#65452	C₂²	1	1	yes	characteristic
125	#65451	C₂²	1	1	yes	characteristic
126	#65381	C₂²	1	1	yes	characteristic
127	#65379	C₂²	1	1	yes	characteristic
128	#65379	C₂²	1	1	yes	characteristic
129	#65379	C₂²	1	1	yes	characteristic
130	#65375	C₂²	1	1	yes	characteristic
131	#65375	C₂²	1	1	yes	characteristic
132	#65375	C₂²	1	1	yes	characteristic
133	#65372	C₂²	1	1	yes	characteristic
134	#65349	C₂²	1	1	yes	characteristic
135	#65348	C₂²	1	1	yes	characteristic
136	#65346	C₂²	1	1	yes	characteristic
137	#65343	C₂²	1	1	yes	characteristic
138	#65320	C₂²	1	1	yes	characteristic
139	#65320	C₂²	1	1	yes	characteristic
140	#65319	C₂²	1	1	yes	characteristic
141	#65319	C₂²	1	1	yes	characteristic
142	C₄×#689	C₂²	1	1	yes	characteristic
143	#65317	C₂²	1	1	yes	characteristic
144	#65317	C₂²	1	1	yes	characteristic
145	#65317	C₂²	1	1	yes	characteristic
146	#65315	C₂²	1	1	yes	characteristic
147	C₄×#688	C₂²	1	1	yes	characteristic
148	#65313	C₂²	1	1	yes	characteristic
149	#65307	C₂²	1	1	yes	characteristic
150	#65305	C₂²	1	1	yes	characteristic
151	#65150	C₂²	1	1	yes	characteristic
152	#65142	C₂²	1	1	yes	characteristic
153	#65141	C₂²	1	1	yes	characteristic
154	#65141	C₂²	1	1	yes	characteristic
155	#65138	C₂²	1	1	yes	characteristic
156	#65138	C₂²	1	1	yes	characteristic
157	#65134	C₂²	1	1	yes	characteristic
158	#65134	C₂²	1	1	yes	characteristic
159	#65133	C₂²	1	1	yes	characteristic
160	#65133	C₂²	1	1	yes	characteristic
161	#65128	C₂²	1	1	yes	characteristic
162	#65128	C₂²	1	1	yes	characteristic
163	D₅×C₄⋊C₈	C₂²	1	1	yes	characteristic
164	#65119	C₂²	1	1	yes	characteristic
165	#65117	C₂²	1	1	yes	characteristic
166	#65117	C₂²	1	1	yes	characteristic
167	#65108	C₂²	1	1	yes	characteristic
168	#65107	C₂²	1	1	yes	characteristic
169	#65107	C₂²	1	1	yes	characteristic
170	#65106	C₂²	1	1	yes	characteristic
171	#65093	C₂²	1	1	yes	characteristic
172	#65092	C₂²	1	1	yes	characteristic
173	#65091	C₂²	1	1	yes	characteristic
174	D₅×#103	C₂²	1	1	yes	characteristic
175	D₅×#103	C₂²	1	1	yes	characteristic
176	#65087	C₂²	1	1	yes	characteristic
177	#65087	C₂²	1	1	yes	characteristic
178	#65082	C₂²	1	1	yes	characteristic
179	#65082	C₂²	1	1	yes	characteristic
180	#65082	C₂²	1	1	yes	characteristic
181	#65082	C₂²	1	1	yes	characteristic
182	#65082	C₂²	1	1	yes	characteristic
183	#65079	C₂²	1	1	yes	characteristic
184	#65079	C₂²	1	1	yes	characteristic
185	#65078	C₂²	1	1	yes	characteristic
186	#65077	C₂²	1	1	yes	characteristic
187	#65075	C₂²	1	1	yes	characteristic
188	#65061	C₂²	1	1	yes	characteristic
189	#65056	C₂²	1	1	yes	characteristic
190	#65047	C₂²	1	1	yes	characteristic
191	#65004	C₂²	1	1	yes	characteristic
192	#65004	C₂²	1	1	yes	characteristic
193	#64999	C₂²	1	1	yes	characteristic
194	#64999	C₂²	1	1	yes	characteristic
195	#64997	C₂²	1	1	yes	characteristic
196	#64996	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
200	#64985	C₂²	1	1	yes	characteristic
201	#64978	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
203	#61422	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×#713	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
211	C₂×C₅×Q₁₆	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×Q₁₆	C₂³	1	1	yes	characteristic
215	C₂×C₅×Q₁₆	C₂³	1	1	yes	characteristic
216	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
217	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
218	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
219	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
222	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
223	C₅×#126	—	2	1	no	—
224	C₅×#126	—	2	1	no	—
225	C₅×#125	—	2	1	no	—
226	C₅×#125	—	2	1	no	—
227	C₅×#125	—	2	1	no	—
228	C₅×#124	C₂³	1	1	yes	characteristic
229	C₅×#124	C₂³	1	1	yes	characteristic
230	C₅×C₂²⋊Q₈	—	2	1	no	—
231	C₄×C₅×Q₈	—	2	1	no	—
232	C₄×C₅×Q₈	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×Q₈	C₂³	1	1	yes	characteristic
236	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
237	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
238	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
239	C₅×#117	—	2	1	no	—
240	#4093	C₂³	1	1	yes	characteristic
241	#4093	C₂³	1	1	yes	characteristic
242	#4093	C₂³	1	1	yes	characteristic
243	#4092	—	2	1	no	—
244	#4092	—	2	1	no	—
245	#4092	D₄	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	Q₈×Dic₅	C₂³	1	1	yes	characteristic
251	#4090	D₄	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	#4090	C₂³	1	1	yes	characteristic
256	#4090	C₂³	1	1	yes	characteristic
257	#4090	C₂³	1	1	yes	characteristic
258	#4090	C₂³	1	1	yes	characteristic
259	C₂×#689	C₂³	1	1	yes	characteristic
260	C₂×#689	C₂³	1	1	yes	characteristic
261	C₂×#689	C₂³	1	1	yes	characteristic
262	C₂×#689	C₂³	1	1	yes	characteristic
263	C₂×#689	C₂³	1	1	yes	characteristic
264	C₂×#689	C₂³	1	1	yes	characteristic
265	C₂×#689	C₂³	1	1	yes	characteristic
266	C₂×#689	C₂³	1	1	yes	characteristic
267	C₂×#689	C₂³	1	1	yes	characteristic
268	C₂×#689	C₂³	1	1	yes	characteristic
269	C₂×#688	C₂³	1	1	yes	characteristic
270	C₂×#688	C₂³	1	1	yes	characteristic
271	C₂×#688	C₂³	1	1	yes	characteristic
272	C₂×#688	C₂³	1	1	yes	characteristic
273	C₂×#688	C₂³	1	1	yes	characteristic
274	#4086	C₂³	1	1	yes	characteristic
275	#4082	C₂³	1	1	yes	characteristic
276	D₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×#687	C₂³	1	1	yes	characteristic
278	C₂×#687	C₂³	1	1	yes	characteristic
279	C₂×#686	C₂³	1	1	yes	characteristic
280	#4075	—	2	1	no	—
281	C₄×C₂²⋊D₅	—	2	1	no	—
282	C₄×C₂²⋊D₅	—	2	1	no	—
283	C₂×#683	—	2	1	no	—
284	#4065	—	4	2	no	—
285	#4064	—	2	4	no	—
286	#4064	—	2	4	no	—
287	#4064	—	4	2	no	—
288	D₅×Q₁₆	—	4	2	no	—
289	D₅×Q₁₆	—	4	2	no	—
290	#4062	—	4	2	no	—
291	#4061	—	2	4	no	—
292	#4061	—	4	2	no	—
293	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
294	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
295	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
296	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
297	C₂×D₄₀	C₂³	1	1	yes	characteristic
298	C₂×#677	C₂³	1	1	yes	characteristic
299	C₂×#677	C₂³	1	1	yes	characteristic
300	C₂×#677	C₂³	1	1	yes	characteristic
301	C₂×#677	C₂³	1	1	yes	characteristic
302	C₂×#676	C₂³	1	1	yes	characteristic
303	C₂×#676	C₂³	1	1	yes	characteristic
304	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
305	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4044	—	2	1	no	—
310	#4044	—	2	1	no	—
311	#4044	—	2	1	no	—
312	#4044	—	2	1	no	—
313	#4044	—	2	1	no	—
314	#4044	—	2	1	no	—
315	#4043	—	2	1	no	—
316	#4043	D₄	1	1	yes	characteristic
317	#4042	—	2	1	no	—
318	#4042	—	2	1	no	—
319	#4042	—	2	1	no	—
320	#4042	—	2	1	no	—
321	#4042	—	2	1	no	—
322	#4042	—	2	1	no	—
323	#4042	—	2	1	no	—
324	#4042	—	2	1	no	—
325	#4042	—	2	1	no	—
326	#4042	D₄	1	1	yes	characteristic
327	#4042	D₄	1	1	yes	characteristic
328	#4040	—	2	1	no	—
329	#4040	—	2	1	no	—
330	#4040	—	2	1	no	—
331	#4040	—	2	1	no	—
332	#4040	—	2	1	no	—
333	#4040	—	2	1	no	—
334	#4039	—	2	1	no	—
335	#4039	—	2	1	no	—
336	#4039	C₂³	1	1	yes	characteristic
337	#4039	C₂³	1	1	yes	characteristic
338	#4038	—	2	1	no	—
339	#4038	—	2	1	no	—
340	#4038	—	2	1	no	—
341	#4038	—	2	1	no	—
342	#4038	—	2	1	no	—
343	#4038	—	2	1	no	—
344	#4038	C₂³	1	1	yes	characteristic
345	D₅×C₄⋊C₄	—	2	1	no	—
346	D₅×C₄⋊C₄	—	2	1	no	—
347	D₅×C₄⋊C₄	—	2	1	no	—
348	D₅×C₄⋊C₄	—	2	1	no	—
349	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
350	#4036	—	2	1	no	—
351	#4036	—	2	1	no	—
352	#4036	—	2	1	no	—
353	#4035	—	2	1	no	—
354	#4035	—	2	1	no	—
355	#4035	—	2	1	no	—
356	#4035	—	2	1	no	—
357	#4035	—	2	1	no	—
358	#4035	—	2	1	no	—
359	#4035	—	2	1	no	—
360	#4035	—	2	1	no	—
361	#4035	—	2	1	no	—
362	#4035	—	2	1	no	—
363	#4035	D₄	1	1	yes	characteristic
364	#4035	D₄	1	1	yes	characteristic
365	#4034	—	2	1	no	—
366	#4034	—	2	1	no	—
367	#4034	D₄	1	1	yes	characteristic
368	#4033	—	2	1	no	—
369	#4033	—	2	1	no	—
370	#4033	—	2	1	no	—
371	#4033	—	2	1	no	—
372	#4033	—	2	1	no	—
373	#4033	—	2	1	no	—
374	#4033	C₂³	1	1	yes	characteristic
375	#4033	C₂³	1	1	yes	characteristic
376	#4033	C₂³	1	1	yes	characteristic
377	#4033	C₂³	1	1	yes	characteristic
378	#4032	—	2	1	no	—
379	#4031	—	2	1	no	—
380	#4031	—	2	1	no	—
381	#4030	—	2	1	no	—
382	#4030	—	2	1	no	—
383	#4029	—	2	1	no	—
384	#4029	—	2	1	no	—
385	#4029	—	2	1	no	—
386	#4029	—	2	1	no	—
387	#4027	—	2	1	no	—
388	#4027	—	2	1	no	—
389	#4027	—	2	1	no	—
390	#4027	—	2	1	no	—
391	#4025	—	2	1	no	—
392	#4025	—	2	1	no	—
393	#4024	—	2	1	no	—
394	#4024	—	2	1	no	—
395	#4024	—	2	1	no	—
396	#4023	—	2	1	no	—
397	#4023	—	2	1	no	—
398	#4022	—	2	1	no	—
399	#4022	—	2	1	no	—
400	#4022	—	2	1	no	—
401	#4021	C₂³	1	1	yes	characteristic
402	#4021	C₂³	1	1	yes	characteristic
403	#4021	C₂³	1	1	yes	characteristic
404	#4021	C₂³	1	1	yes	characteristic
405	C₄×D₂₀	—	2	1	no	—
406	C₄×D₂₀	—	2	1	no	—
407	C₄×D₂₀	C₂³	1	1	yes	characteristic
408	C₄×D₂₀	C₂³	1	1	yes	characteristic
409	#4018	—	2	1	no	—
410	#4018	—	2	1	no	—
411	#4018	—	2	1	no	—
412	#4018	—	2	1	no	—
413	#4018	—	2	1	no	—
414	#4018	—	2	1	no	—
415	#4018	C₂³	1	1	yes	characteristic
416	#4018	C₂³	1	1	yes	characteristic
417	C₄²×D₅	—	2	1	no	—
418	C₄²×D₅	—	2	1	no	—
419	C₄²×D₅	C₂³	1	1	yes	characteristic
420	#4016	—	2	1	no	—
421	#4016	—	2	1	no	—
422	#4015	C₂³	1	1	yes	characteristic
423	#4015	C₂³	1	1	yes	characteristic
424	C₄×Dic₁₀	—	2	1	no	—
425	C₄×Dic₁₀	—	2	1	no	—
426	C₄×Dic₁₀	—	2	1	no	—
427	C₄×Dic₁₀	—	2	1	no	—
428	C₄×Dic₁₀	—	2	1	no	—
429	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
430	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
431	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
432	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
433	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
434	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
435	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
436	C₅×#106	C₂³	1	1	yes	characteristic
437	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
438	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
439	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
440	C₅×#103	C₂³	1	1	yes	characteristic
441	C₅×#103	C₂³	1	1	yes	characteristic
442	C₅×#103	C₂³	1	1	yes	characteristic
443	C₅×#103	C₂³	1	1	yes	characteristic
444	C₅×#103	C₂³	1	1	yes	characteristic
445	C₅×#102	C₂³	1	1	yes	characteristic
446	C₅×#97	C₂³	1	1	yes	characteristic
447	C₅×#97	C₂³	1	1	yes	characteristic
448	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
449	#3967	C₂³	1	1	yes	characteristic
450	#3967	C₂³	1	1	yes	characteristic
451	#3967	C₂³	1	1	yes	characteristic
452	#3967	C₂³	1	1	yes	characteristic
453	#3967	C₂³	1	1	yes	characteristic
454	#3964	C₂³	1	1	yes	characteristic
455	#3953	C₂³	1	1	yes	characteristic
456	#3953	C₂³	1	1	yes	characteristic
457	#3950	C₂³	1	1	yes	characteristic
458	#3948	C₂³	1	1	yes	characteristic
459	#3948	C₂³	1	1	yes	characteristic
460	#3948	C₂³	1	1	yes	characteristic
461	#3948	C₂³	1	1	yes	characteristic
462	#3947	C₂³	1	1	yes	characteristic
463	#3947	C₂³	1	1	yes	characteristic
464	#3946	C₂³	1	1	yes	characteristic
465	#3946	C₂³	1	1	yes	characteristic
466	#3946	C₂³	1	1	yes	characteristic
467	#3946	C₂³	1	1	yes	characteristic
468	#3946	C₂³	1	1	yes	characteristic
469	#3946	C₂³	1	1	yes	characteristic
470	C₈×Dic₅	C₂³	1	1	yes	characteristic
471	C₈×Dic₅	C₂³	1	1	yes	characteristic
472	C₈×Dic₅	C₂³	1	1	yes	characteristic
473	C₈×Dic₅	C₂³	1	1	yes	characteristic
474	#3942	C₂³	1	1	yes	characteristic
475	#3942	C₂³	1	1	yes	characteristic
476	#3942	C₂³	1	1	yes	characteristic
477	#3942	C₂³	1	1	yes	characteristic
478	#3941	C₂³	1	1	yes	characteristic
479	#3941	C₂³	1	1	yes	characteristic
480	#3940	C₂³	1	1	yes	characteristic
481	#3939	C₂³	1	1	yes	characteristic
482	C₄⋊#168	C₂³	1	1	yes	characteristic
483	C₄⋊#168	C₂³	1	1	yes	characteristic
484	C₄⋊#168	C₂³	1	1	yes	characteristic
485	#3935	C₂³	1	1	yes	characteristic
486	#3935	C₂³	1	1	yes	characteristic
487	C₄×#168	C₂³	1	1	yes	characteristic
488	#3509	—	5	1	no	—
489	#3507	—	5	1	no	—
490	#3402	—	5	1	no	—
491	#3402	—	5	1	no	—
492	#3402	—	5	1	no	—
493	#3402	—	5	1	no	—
494	#3400	—	5	1	no	—
495	#3400	—	5	1	no	—
496	#3398	—	5	1	no	—
497	#3398	—	5	1	no	—
498	#3398	—	5	1	no	—
499	#3398	—	5	1	no	—
500	#3398	—	5	1	no	—
501	#3398	D₅	1	1	yes	characteristic, complemented
502	#3395	—	5	1	no	—
503	#3395	—	5	1	no	—
504	#3394	—	5	1	no	—
505	#3394	—	5	1	no	—
506	#3156	—	5	1	no	—
507	#3156	—	5	1	no	—
508	#3152	—	5	1	no	—
509	#3046	—	5	1	no	—
510	#3046	—	5	1	no	—
511	#3044	—	5	1	no	—
512	#3044	—	5	1	no	—
513	#3035	—	5	1	no	—
514	C₂×#462	—	5	1	no	—
515	#2962	—	5	1	no	—
516	#2947	—	5	1	no	—
517	#2947	—	5	1	no	—
518	C₄×#137	—	5	1	no	—
519	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
520	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
521	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂×C₂²⋊D₅	—	2	1	no	—
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	#713	—	2	2	no	—
533	#713	—	2	2	no	—
534	#713	—	2	2	no	—
535	#713	—	2	2	no	—
536	Q₈×D₅	—	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	—	2	2	no	—
542	#711	—	2	2	no	—
543	#711	—	2	2	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	—	2	1	no	—
546	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
547	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
548	C₂×C₄×D₅	—	2	1	no	—
549	C₂×C₄×D₅	—	2	1	no	—
550	C₂×C₄×D₅	—	2	1	no	—
551	C₂×C₄×D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
560	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
568	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
570	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
571	C₅×Q₁₆	—	2	2	no	—
572	C₅×Q₁₆	—	2	2	no	—
573	C₅×Q₁₆	—	4	1	no	—
574	C₅×Q₁₆	—	4	1	no	—
575	C₅×Q₁₆	—	4	1	no	—
576	C₅×Q₁₆	—	4	1	no	—
577	C₅×SD₁₆	—	2	2	no	—
578	C₅×SD₁₆	—	4	1	no	—
579	C₅×SD₁₆	—	4	1	no	—
580	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
581	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
582	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
583	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
600	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
601	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
602	C₅×C₂²⋊C₄	—	2	1	no	—
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	C₄²×C₅	—	2	1	no	—
608	C₄²×C₅	—	2	1	no	—
609	C₄²×C₅	—	2	1	no	—
610	C₄²×C₅	—	2	1	no	—
611	C₄²×C₅	—	2	1	no	—
612	C₄²×C₅	C₂⁴	1	1	yes	characteristic
613	C₄²×C₅	C₂⁴	1	1	yes	characteristic
614	C₄²×C₅	C₂⁴	1	1	yes	characteristic
615	C₂²⋊Dic₅	—	2	1	no	—
616	C₂²⋊Dic₅	—	2	1	no	—
617	C₂²⋊Dic₅	—	2	1	no	—
618	#689	—	2	2	no	—
619	#689	—	2	2	no	—
620	#689	—	2	2	no	—
621	#689	—	4	1	no	—
622	#689	—	4	1	no	—
623	#689	—	4	1	no	—
624	#689	—	4	1	no	—
625	#689	—	4	1	no	—
626	#689	—	4	1	no	—
627	#689	—	4	1	no	—
628	#688	—	2	2	no	—
629	#688	—	2	2	no	—
630	#688	—	4	1	no	—
631	#688	—	4	1	no	—
632	#688	—	4	1	no	—
633	#687	—	2	2	no	—
634	#687	—	4	1	no	—
635	#686	—	4	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	—	2	1	no	—
645	#685	—	2	1	no	—
646	#685	—	2	1	no	—
647	#685	—	2	1	no	—
648	#685	—	2	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	C₂×D₄	1	1	yes	characteristic
656	#685	C₂×D₄	1	1	yes	characteristic
657	#685	C₂×D₄	1	1	yes	characteristic
658	#685	C₂×D₄	1	1	yes	characteristic
659	C₄⋊Dic₅	—	2	1	no	—
660	C₄⋊Dic₅	—	2	1	no	—
661	C₄⋊Dic₅	—	2	1	no	—
662	C₄⋊Dic₅	—	2	1	no	—
663	C₄⋊Dic₅	—	2	1	no	—
664	C₄⋊Dic₅	—	2	1	no	—
665	C₄⋊Dic₅	—	2	1	no	—
666	C₄⋊Dic₅	—	2	1	no	—
667	C₄⋊Dic₅	—	2	1	no	—
668	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
669	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
670	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
671	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
672	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
697	#683	C₂×D₄	1	1	yes	characteristic
698	#683	C₂×D₄	1	1	yes	characteristic
699	#683	C₂×D₄	1	1	yes	characteristic
700	#683	C₂×D₄	1	1	yes	characteristic
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	#683	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
713	C₄×Dic₅	—	2	1	no	—
714	C₄×Dic₅	—	2	1	no	—
715	C₄×Dic₅	—	2	1	no	—
716	C₄×Dic₅	—	2	1	no	—
717	C₄×Dic₅	—	2	1	no	—
718	C₄×Dic₅	—	2	1	no	—
719	C₄×Dic₅	—	2	1	no	—
720	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
721	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
722	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
723	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
724	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
725	C₂×#168	C₂⁴	1	1	yes	characteristic
726	C₂×#168	C₂⁴	1	1	yes	characteristic
727	C₂×#168	C₂⁴	1	1	yes	characteristic
728	C₂×#168	C₂⁴	1	1	yes	characteristic
729	Dic₂₀	—	2	2	no	—
730	Dic₂₀	—	4	1	no	—
731	Dic₂₀	—	4	1	no	—
732	Dic₂₀	—	4	1	no	—
733	D₄₀	—	4	1	no	—
734	#677	—	2	2	no	—
735	#677	—	2	2	no	—
736	#677	—	4	1	no	—
737	#677	—	4	1	no	—
738	#676	—	2	2	no	—
739	#676	#41	1	4	yes	—
740	C₈×D₅	—	2	2	no	—
741	C₈×D₅	—	2	2	no	—
742	C₂×#137	—	5	1	no	—
743	C₂×#137	—	5	1	no	—
744	C₂×#137	—	5	1	no	—
745	C₂×#137	—	5	1	no	—
746	C₂×#137	—	5	1	no	—
747	C₂×#135	—	5	1	no	—
748	C₂×#135	—	5	1	no	—
749	C₂²×Q₁₆	—	5	1	no	—
750	C₂²×Q₁₆	—	5	1	no	—
751	#559	—	5	1	no	—
752	#559	—	5	1	no	—
753	#557	—	5	1	no	—
754	#557	—	5	1	no	—
755	#557	—	5	1	no	—
756	#557	—	5	1	no	—
757	#557	—	5	1	no	—
758	#557	C₂×D₅	1	1	yes	characteristic
759	#556	—	5	1	no	—
760	#556	—	5	1	no	—
761	#556	—	5	1	no	—
762	#556	—	5	1	no	—
763	#556	—	5	1	no	—
764	#556	—	5	1	no	—
765	#556	—	5	1	no	—
766	#556	—	10	1	no	—
767	#556	C₂×D₅	1	1	yes	characteristic
768	#554	—	10	1	no	—
769	#552	—	10	1	no	—
770	#552	—	10	1	no	—
771	#552	—	10	1	no	—
772	#552	—	10	1	no	—
773	#552	—	10	1	no	—
774	#552	—	10	1	no	—
775	#541	—	10	1	no	—
776	#541	—	10	1	no	—
777	#539	—	10	1	no	—
778	#539	—	10	1	no	—
779	#536	—	5	1	no	—
780	#536	—	5	1	no	—
781	#536	—	5	1	no	—
782	#536	—	5	1	no	—
783	#533	—	5	1	no	—
784	#533	—	10	1	no	—
785	#533	—	10	1	no	—
786	#532	—	5	1	no	—
787	C₂×C₄⋊Q₈	—	5	1	no	—
788	#529	—	10	1	no	—
789	#529	—	10	1	no	—
790	#520	—	5	1	no	—
791	#520	—	5	1	no	—
792	#519	—	5	1	no	—
793	#519	—	5	1	no	—
794	C₄×#41	—	5	1	no	—
795	C₂×C₄×Q₈	—	5	1	no	—
796	#497	—	5	1	no	—
797	#497	—	5	1	no	—
798	#497	—	5	1	no	—
799	#497	—	5	1	no	—
800	#497	—	5	1	no	—
801	#497	—	5	1	no	—
802	#497	—	5	1	no	—
803	#497	—	5	1	no	—
804	#497	—	5	1	no	—
805	#497	—	5	1	no	—
806	#497	C₂×D₅	1	1	yes	characteristic
807	#497	C₂×D₅	1	1	yes	characteristic
808	#495	—	5	1	no	—
809	#495	—	5	1	no	—
810	#495	—	5	1	no	—
811	#495	—	5	1	no	—
812	#494	—	5	1	no	—
813	#494	—	5	1	no	—
814	#494	—	5	1	no	—
815	#494	—	5	1	no	—
816	#494	—	5	1	no	—
817	#494	C₂×D₅	1	1	yes	characteristic
818	#492	—	5	1	no	—
819	#492	—	5	1	no	—
820	#464	—	5	1	no	—
821	#464	—	5	1	no	—
822	#464	—	5	1	no	—
823	#464	—	5	1	no	—
824	#464	—	5	1	no	—
825	#464	—	5	1	no	—
826	#464	—	5	1	no	—
827	#464	—	5	1	no	—
828	#464	—	5	1	no	—
829	#464	—	5	1	no	—
830	#464	—	5	1	no	—
831	#464	—	5	1	no	—
832	#464	C₂×D₅	1	1	yes	characteristic
833	#464	C₂×D₅	1	1	yes	characteristic
834	#463	—	5	1	no	—
835	#463	—	5	1	no	—
836	#463	—	5	1	no	—
837	#463	—	5	1	no	—
838	#463	—	5	1	no	—
839	#463	—	5	1	no	—
840	#462	—	5	1	no	—
841	#462	—	5	1	no	—
842	#462	—	5	1	no	—
843	#462	—	5	1	no	—
844	#462	—	5	1	no	—
845	#462	—	5	1	no	—
846	#462	—	5	1	no	—
847	#462	—	5	1	no	—
848	#462	—	5	1	no	—
849	#462	—	5	1	no	—
850	#462	—	5	1	no	—
851	#462	—	5	1	no	—
852	#462	—	5	1	no	—
853	#462	—	5	1	no	—
854	#462	—	5	1	no	—
855	#462	—	5	1	no	—
856	#462	—	5	1	no	—
857	#462	—	5	1	no	—
858	#462	C₂×D₅	1	1	yes	characteristic
859	#462	C₂×D₅	1	1	yes	characteristic
860	#462	C₂×D₅	1	1	yes	characteristic
861	#461	—	5	1	no	—
862	#461	—	5	1	no	—
863	#461	—	5	1	no	—
864	#461	—	5	1	no	—
865	#461	C₂×D₅	1	1	yes	characteristic
866	#460	—	5	1	no	—
867	#459	—	5	1	no	—
868	#446	—	5	1	no	—
869	#446	—	5	1	no	—
870	#446	—	5	1	no	—
871	#446	—	5	1	no	—
872	#446	—	5	1	no	—
873	#446	C₂×D₅	1	1	yes	characteristic
874	C₈×Q₈	—	5	1	no	—
875	C₈×Q₈	—	5	1	no	—
876	#441	—	5	1	no	—
877	#441	—	5	1	no	—
878	#441	—	5	1	no	—
879	#441	—	5	1	no	—
880	#441	C₂×D₅	1	1	yes	characteristic
881	#441	C₂×D₅	1	1	yes	characteristic
882	#440	—	5	1	no	—
883	#440	—	5	1	no	—
884	#440	—	5	1	no	—
885	#440	—	5	1	no	—
886	#440	—	5	1	no	—
887	#440	—	5	1	no	—
888	C₄×Q₁₆	—	5	1	no	—
889	C₄×Q₁₆	—	5	1	no	—
890	C₄×Q₁₆	—	5	1	no	—
891	C₄×Q₁₆	—	5	1	no	—
892	C₄×Q₁₆	—	5	1	no	—
893	C₄×Q₁₆	—	5	1	no	—
894	C₄×SD₁₆	—	5	1	no	—
895	C₄×SD₁₆	—	5	1	no	—
896	C₄×SD₁₆	—	5	1	no	—
897	C₄×SD₁₆	—	5	1	no	—
898	C₄×SD₁₆	—	5	1	no	—
899	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
900	#428	—	5	1	no	—
901	#424	—	5	1	no	—
902	#424	—	5	1	no	—
903	C₂×C₄⋊C₈	—	5	1	no	—
904	#419	—	5	1	no	—
905	#417	—	5	1	no	—
906	#416	—	5	1	no	—
907	#416	—	5	1	no	—
908	C₂×#103	—	5	1	no	—
909	C₂×#103	—	5	1	no	—
910	#405	—	5	1	no	—
911	#405	—	5	1	no	—
912	C₄×M₁₆	—	5	1	no	—
913	C₂³×C₅	—	2	1	no	—
914	C₂²×D₅	—	2	1	no	—
915	C₂²×D₅	—	2	1	no	—
916	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
917	C₅×Q₈	—	2	1	no	—
918	C₅×Q₈	—	2	1	no	—
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	—	2	1	no	—
926	C₅×Q₈	—	2	1	no	—
927	C₅×Q₈	—	4	1	no	—
928	C₅×D₄	—	2	1	no	—
929	C₅×D₄	—	2	1	no	—
930	C₂×C₄×C₅	—	2	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	—	8	1	no	—
938	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
945	C₂²⋊D₅	—	4	2	no	—
946	C₂²⋊D₅	—	4	2	no	—
947	C₂²⋊D₅	—	8	1	no	—
948	C₂×Dic₅	—	2	1	no	—
949	C₂×Dic₅	—	2	1	no	—
950	C₂×Dic₅	—	2	1	no	—
951	C₂×Dic₅	—	2	1	no	—
952	C₂×Dic₅	—	2	1	no	—
953	C₂×Dic₅	—	2	1	no	—
954	C₂×Dic₅	—	4	2	no	—
955	C₂×Dic₅	—	8	1	no	—
956	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
957	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
958	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
959	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
960	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
961	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
962	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
963	D₂₀	—	2	1	no	—
964	D₂₀	—	2	1	no	—
965	D₂₀	—	2	1	no	—
966	D₂₀	—	2	1	no	—
967	D₂₀	—	4	2	no	—
968	D₂₀	—	4	2	no	—
969	C₄×D₅	—	2	2	no	—
970	C₄×D₅	—	4	1	no	—
971	C₄×D₅	—	4	2	no	—
972	C₄×D₅	—	4	2	no	—
973	C₄×D₅	—	4	2	no	—
974	C₄×D₅	—	4	2	no	—
975	C₄×D₅	—	4	2	no	—
976	C₄×D₅	—	4	2	no	—
977	C₄×D₅	—	4	2	no	—
978	C₄×D₅	—	8	1	no	—
979	C₄×D₅	—	8	1	no	—
980	C₄×D₅	—	8	1	no	—
981	C₄×D₅	C₂×#41	1	2	yes	—
982	C₄×D₅	H(5,𝔽₂)	1	2	yes	—
983	Dic₁₀	—	2	2	no	—
984	Dic₁₀	—	2	2	no	—
985	Dic₁₀	—	2	1	no	—
986	Dic₁₀	—	2	1	no	—
987	Dic₁₀	—	2	1	no	—
988	Dic₁₀	—	2	1	no	—
989	Dic₁₀	—	2	1	no	—
990	Dic₁₀	—	2	1	no	—
991	Dic₁₀	—	2	1	no	—
992	Dic₁₀	—	2	1	no	—
993	Dic₁₀	—	4	1	no	—
994	Dic₁₀	—	4	2	no	—
995	Dic₁₀	—	4	2	no	—
996	Dic₁₀	—	4	2	no	—
997	C₅×C₈	—	2	1	no	—
998	C₅×C₈	—	2	1	no	—
999	C₅×C₈	—	2	1	no	—
1000	C₅×C₈	C₂×#41	1	2	yes	—
1001	#168	—	2	1	no	—
1002	#168	—	2	1	no	—
1003	#168	—	2	1	no	—
1004	#168	C₂×#41	1	2	yes	—
1005	C₂×#41	—	5	1	no	—
1006	C₂×#41	—	5	1	no	—
1007	C₂×#41	—	5	1	no	—
1008	C₂²×Q₈	—	5	1	no	—
1009	C₂²×Q₈	—	5	1	no	—
1010	C₂²×Q₈	—	5	1	no	—
1011	#137	—	10	4	no	—
1012	#137	—	10	4	no	—
1013	#137	—	10	4	no	—
1014	#137	—	20	2	no	—
1015	#137	—	20	2	no	—
1016	#135	—	20	2	no	—
1017	#135	—	20	2	no	—
1018	C₂×Q₁₆	—	5	1	no	—
1019	C₂×Q₁₆	—	5	1	no	—
1020	C₂×Q₁₆	—	5	1	no	—
1021	C₂×Q₁₆	—	5	1	no	—
1022	C₂×Q₁₆	—	5	1	no	—
1023	C₂×Q₁₆	—	5	1	no	—
1024	C₂×Q₁₆	—	5	1	no	—
1025	C₂×Q₁₆	—	5	1	no	—
1026	C₂×Q₁₆	—	5	1	no	—
1027	C₂×Q₁₆	—	5	1	no	—
1028	C₂×Q₁₆	—	5	1	no	—
1029	C₂×Q₁₆	—	5	1	no	—
1030	C₂×Q₁₆	—	5	1	no	—
1031	C₂×Q₁₆	—	5	1	no	—
1032	C₂×Q₁₆	—	20	2	no	—
1033	C₂×Q₁₆	—	20	2	no	—
1034	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1035	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1036	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1037	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1038	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1039	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1040	C₂×SD₁₆	—	5	1	no	—
1041	C₂×SD₁₆	—	5	1	no	—
1042	C₂×SD₁₆	—	5	1	no	—
1043	C₂×SD₁₆	—	5	1	no	—
1044	C₂×SD₁₆	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1052	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1053	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1054	C₂×D₈	—	5	1	no	—
1055	C₂×D₈	—	5	1	no	—
1056	C₂×M₁₆	—	5	1	no	—
1057	C₂×M₁₆	—	5	1	no	—
1058	C₂²×C₈	—	5	1	no	—
1059	C₂²×C₈	—	5	1	no	—
1060	C₄⋊Q₈	—	5	1	no	—
1061	C₄⋊Q₈	—	5	1	no	—
1062	C₄⋊Q₈	—	5	1	no	—
1063	C₄⋊Q₈	—	5	1	no	—
1064	C₄⋊Q₈	—	5	1	no	—
1065	C₄⋊Q₈	—	5	1	no	—
1066	C₄⋊Q₈	—	5	1	no	—
1067	C₄⋊Q₈	—	5	1	no	—
1068	C₄⋊Q₈	—	5	1	no	—
1069	C₄⋊Q₈	—	5	1	no	—
1070	C₄⋊Q₈	—	5	1	no	—
1071	C₄⋊Q₈	—	10	1	no	—
1072	C₄⋊Q₈	—	10	1	no	—
1073	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1074	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1075	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1076	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1077	#127	—	5	1	no	—
1078	#126	—	2	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	#126	—	10	1	no	—
1090	#126	—	10	1	no	—
1091	#126	—	10	1	no	—
1092	#126	—	10	1	no	—
1093	#126	—	10	1	no	—
1094	#125	—	2	1	no	—
1095	#125	—	2	1	no	—
1096	#125	—	2	1	no	—
1097	#125	—	5	1	no	—
1098	#125	—	5	1	no	—
1099	#125	—	10	1	no	—
1100	#125	—	10	1	no	—
1101	#125	—	10	1	no	—
1102	#125	—	10	1	no	—
1103	#125	—	10	1	no	—
1104	#125	—	10	1	no	—
1105	#125	—	10	1	no	—
1106	#125	—	10	1	no	—
1107	#125	—	10	1	no	—
1108	#125	—	10	1	no	—
1109	#125	—	10	1	no	—
1110	#125	—	10	1	no	—
1111	#125	—	10	1	no	—
1112	#125	—	10	1	no	—
1113	#125	—	10	1	no	—
1114	#124	—	5	1	no	—
1115	#124	—	5	1	no	—
1116	#124	—	5	1	no	—
1117	#124	—	5	1	no	—
1118	#124	—	5	1	no	—
1119	#124	—	5	1	no	—
1120	#124	—	5	1	no	—
1121	#124	—	5	1	no	—
1122	#124	—	10	1	no	—
1123	#124	—	10	1	no	—
1124	#124	C₂²×D₅	1	1	yes	characteristic
1125	#124	C₂²×D₅	1	1	yes	characteristic
1126	#123	—	10	1	no	—
1127	#123	—	10	1	no	—
1128	#123	—	10	1	no	—
1129	#123	—	10	1	no	—
1130	#123	—	10	1	no	—
1131	#123	—	10	1	no	—
1132	#123	—	10	1	no	—
1133	#123	—	10	1	no	—
1134	#123	—	10	1	no	—
1135	#123	—	10	1	no	—
1136	#123	—	10	1	no	—
1137	#123	—	10	1	no	—
1138	C₂²⋊Q₈	—	2	1	no	—
1139	C₂²⋊Q₈	—	5	1	no	—
1140	C₂²⋊Q₈	—	5	1	no	—
1141	C₂²⋊Q₈	—	5	1	no	—
1142	C₂²⋊Q₈	—	5	1	no	—
1143	C₂²⋊Q₈	—	10	1	no	—
1144	C₂²⋊Q₈	—	10	1	no	—
1145	C₂²⋊Q₈	—	10	1	no	—
1146	C₂²⋊Q₈	—	10	1	no	—
1147	C₂²⋊Q₈	—	10	1	no	—
1148	C₂²⋊Q₈	—	10	1	no	—
1149	C₂²⋊Q₈	—	10	1	no	—
1150	C₂²⋊Q₈	—	10	1	no	—
1151	C₂²⋊Q₈	—	10	1	no	—
1152	C₂²⋊Q₈	—	10	1	no	—
1153	C₂²⋊Q₈	—	10	1	no	—
1154	C₂²⋊Q₈	—	10	1	no	—
1155	C₂²⋊Q₈	—	10	1	no	—
1156	C₂²⋊Q₈	—	10	1	no	—
1157	C₂²⋊Q₈	—	10	1	no	—
1158	#121	—	10	1	no	—
1159	#121	—	10	1	no	—
1160	C₄×Q₈	—	2	1	no	—
1161	C₄×Q₈	—	5	1	no	—
1162	C₄×Q₈	—	5	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	—	5	1	no	—
1172	C₄×Q₈	—	5	1	no	—
1173	C₄×Q₈	—	5	1	no	—
1174	C₄×Q₈	—	5	1	no	—
1175	C₄×Q₈	—	5	1	no	—
1176	C₄×Q₈	—	5	1	no	—
1177	C₄×Q₈	—	10	1	no	—
1178	C₄×Q₈	—	10	1	no	—
1179	C₄×Q₈	—	10	1	no	—
1180	C₄×Q₈	—	10	1	no	—
1181	C₄×Q₈	—	10	1	no	—
1182	C₄×Q₈	—	10	1	no	—
1183	C₄×Q₈	—	10	1	no	—
1184	C₄×Q₈	—	10	1	no	—
1185	C₄×Q₈	—	10	1	no	—
1186	C₄×Q₈	—	10	1	no	—
1187	C₄×Q₈	—	10	1	no	—
1188	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1189	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1190	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1191	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1192	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1193	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1194	C₄×D₄	—	5	1	no	—
1195	C₄×D₄	—	5	1	no	—
1196	C₄×D₄	—	5	1	no	—
1197	C₄×D₄	—	5	1	no	—
1198	C₄×D₄	—	5	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	—	10	1	no	—
1207	C₄×D₄	—	10	1	no	—
1208	C₄×D₄	—	10	1	no	—
1209	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1210	#117	—	2	1	no	—
1211	#117	—	5	1	no	—
1212	#117	—	5	1	no	—
1213	#117	—	5	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	—	10	1	no	—
1225	#117	—	10	1	no	—
1226	#117	—	10	1	no	—
1227	#117	—	10	1	no	—
1228	C₂×C₄⋊C₄	—	5	1	no	—
1229	C₂×C₄⋊C₄	—	10	1	no	—
1230	C₂×C₄⋊C₄	—	10	1	no	—
1231	C₂×C₄⋊C₄	—	10	1	no	—
1232	C₂×C₄⋊C₄	—	10	1	no	—
1233	C₂×C₄⋊C₄	—	10	1	no	—
1234	C₂×C₄²	—	5	1	no	—
1235	C₂×C₄²	—	10	1	no	—
1236	C₂×C₄²	—	10	1	no	—
1237	#107	—	5	1	no	—
1238	#107	—	5	1	no	—
1239	#106	—	5	1	no	—
1240	#106	C₂²×D₅	1	1	yes	characteristic
1241	C₄⋊C₈	—	5	1	no	—
1242	C₄⋊C₈	—	5	1	no	—
1243	C₄⋊C₈	—	5	1	no	—
1244	C₄⋊C₈	—	5	1	no	—
1245	C₄⋊C₈	—	5	1	no	—
1246	C₄⋊C₈	—	5	1	no	—
1247	C₄⋊C₈	—	5	1	no	—
1248	C₄⋊C₈	—	5	1	no	—
1249	C₄⋊C₈	—	5	1	no	—
1250	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1251	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1252	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1253	#103	—	5	1	no	—
1254	#103	—	5	1	no	—
1255	#103	—	5	1	no	—
1256	#103	—	5	1	no	—
1257	#103	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1267	#103	C₂²×D₅	1	1	yes	characteristic
1268	#103	C₂²×D₅	1	1	yes	characteristic
1269	#103	C₂²×D₅	1	1	yes	characteristic
1270	#103	C₂²×D₅	1	1	yes	characteristic
1271	#102	—	5	1	no	—
1272	#102	—	5	1	no	—
1273	#102	—	5	1	no	—
1274	#102	—	5	1	no	—
1275	#102	—	5	1	no	—
1276	#102	C₂²×D₅	1	1	yes	characteristic
1277	#97	—	5	1	no	—
1278	#97	—	5	1	no	—
1279	#97	—	5	1	no	—
1280	#97	—	5	1	no	—
1281	#97	C₂²×D₅	1	1	yes	characteristic
1282	#97	C₂²×D₅	1	1	yes	characteristic
1283	C₄×C₈	—	5	1	no	—
1284	C₄×C₈	—	5	1	no	—
1285	C₄×C₈	—	5	1	no	—
1286	C₄×C₈	—	5	1	no	—
1287	C₄×C₈	—	5	1	no	—
1288	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1289	C₂²×C₅	—	4	1	no	—
1290	C₂²×C₅	—	4	1	no	—
1291	C₂²×C₅	—	4	1	no	—
1292	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1293	C₂×D₅	—	2	1	no	—
1294	C₂×D₅	—	2	1	no	—
1295	C₂×D₅	—	4	1	no	—
1296	C₂×D₅	—	4	1	no	—
1297	C₂×D₅	—	4	1	no	—
1298	C₂×D₅	—	4	1	no	—
1299	C₂×D₅	—	4	1	no	—
1300	C₂×D₅	—	4	1	no	—
1301	C₂×D₅	#550	1	2	yes	—
1302	C₄×C₅	—	2	1	no	—
1303	C₄×C₅	—	2	1	no	—
1304	C₄×C₅	—	2	1	no	—
1305	C₄×C₅	—	2	1	no	—
1306	C₄×C₅	—	2	1	no	—
1307	C₄×C₅	—	2	1	no	—
1308	C₄×C₅	—	4	1	no	—
1309	C₄×C₅	—	4	1	no	—
1310	C₄×C₅	—	4	1	no	—
1311	C₄×C₅	—	4	1	no	—
1312	C₄×C₅	—	4	1	no	—
1313	C₄×C₅	—	4	1	no	—
1314	C₄×C₅	—	4	1	no	—
1315	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1316	C₄×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1317	Dic₅	—	2	1	no	—
1318	Dic₅	—	2	1	no	—
1319	Dic₅	—	2	1	no	—
1320	Dic₅	—	2	1	no	—
1321	Dic₅	—	2	1	no	—
1322	Dic₅	—	4	1	no	—
1323	Dic₅	—	4	1	no	—
1324	Dic₅	—	4	1	no	—
1325	Dic₅	—	4	1	no	—
1326	Dic₅	—	4	1	no	—
1327	Dic₅	—	4	1	no	—
1328	Dic₅	#550	1	2	yes	—
1329	Dic₅	#578	1	2	yes	—
1330	#41	—	10	2	no	—
1331	#41	—	10	2	no	—
1332	#41	—	10	2	no	—
1333	#41	—	10	2	no	—
1334	#41	—	10	2	no	—
1335	#41	—	10	2	no	—
1336	C₂×Q₈	—	5	1	no	—
1337	C₂×Q₈	—	5	1	no	—
1338	C₂×Q₈	—	5	1	no	—
1339	C₂×Q₈	—	5	1	no	—
1340	C₂×Q₈	—	5	1	no	—
1341	C₂×Q₈	—	5	1	no	—
1342	C₂×Q₈	—	5	1	no	—
1343	C₂×Q₈	—	10	1	no	—
1344	C₂×Q₈	—	10	1	no	—
1345	C₂×Q₈	—	10	1	no	—
1346	C₂×Q₈	—	10	2	no	—
1347	C₂×Q₈	—	10	2	no	—
1348	C₂×Q₈	—	10	2	no	—
1349	C₂×Q₈	—	10	2	no	—
1350	C₂×Q₈	—	10	2	no	—
1351	C₂×Q₈	—	10	2	no	—
1352	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1353	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1354	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1355	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1356	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1357	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1358	C₂×D₄	—	5	1	no	—
1359	C₂×D₄	—	5	1	no	—
1360	C₂×D₄	—	10	1	no	—
1361	C₂×D₄	—	10	1	no	—
1362	C₂×D₄	—	10	1	no	—
1363	C₂×D₄	—	10	1	no	—
1364	C₂×D₄	—	10	1	no	—
1365	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1366	C₂²×C₄	—	2	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	—	10	1	no	—
1380	C₂²×C₄	—	10	1	no	—
1381	C₂²×C₄	—	10	1	no	—
1382	Q₁₆	—	2	2	no	—
1383	Q₁₆	—	2	2	no	—
1384	Q₁₆	—	4	1	no	—
1385	Q₁₆	—	4	1	no	—
1386	Q₁₆	—	4	1	no	—
1387	Q₁₆	—	4	1	no	—
1388	Q₁₆	—	10	2	no	—
1389	Q₁₆	—	10	2	no	—
1390	Q₁₆	—	10	2	no	—
1391	Q₁₆	—	10	2	no	—
1392	Q₁₆	—	20	1	no	—
1393	Q₁₆	—	20	1	no	—
1394	Q₁₆	—	20	1	no	—
1395	Q₁₆	—	20	1	no	—
1396	Q₁₆	—	20	1	no	—
1397	Q₁₆	—	20	1	no	—
1398	Q₁₆	—	20	1	no	—
1399	Q₁₆	—	20	1	no	—
1400	Q₁₆	—	20	1	no	—
1401	Q₁₆	—	20	1	no	—
1402	SD₁₆	—	2	2	no	—
1403	SD₁₆	—	4	1	no	—
1404	SD₁₆	—	4	1	no	—
1405	SD₁₆	—	10	2	no	—
1406	SD₁₆	—	10	2	no	—
1407	SD₁₆	—	10	2	no	—
1408	SD₁₆	—	10	2	no	—
1409	SD₁₆	—	10	2	no	—
1410	SD₁₆	—	20	1	no	—
1411	SD₁₆	—	20	1	no	—
1412	SD₁₆	—	20	1	no	—
1413	SD₁₆	—	20	1	no	—
1414	SD₁₆	—	20	1	no	—
1415	SD₁₆	—	20	1	no	—
1416	D₈	—	20	1	no	—
1417	D₈	—	20	1	no	—
1418	M₁₆	—	5	4	no	—
1419	M₁₆	—	10	2	no	—
1420	C₂×C₈	—	5	1	no	—
1421	C₂×C₈	—	5	1	no	—
1422	C₂×C₈	—	5	1	no	—
1423	C₂×C₈	—	5	1	no	—
1424	C₂×C₈	—	10	2	no	—
1425	C₂×C₈	—	10	2	no	—
1426	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1427	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1428	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1429	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1430	C₄⋊C₄	—	2	1	no	—
1431	C₄⋊C₄	—	2	1	no	—
1432	C₄⋊C₄	—	2	1	no	—
1433	C₄⋊C₄	—	2	1	no	—
1434	C₄⋊C₄	—	2	1	no	—
1435	C₄⋊C₄	—	2	1	no	—
1436	C₄⋊C₄	—	2	1	no	—
1437	C₄⋊C₄	—	2	1	no	—
1438	C₄⋊C₄	—	2	1	no	—
1439	C₄⋊C₄	—	2	1	no	—
1440	C₄⋊C₄	—	2	1	no	—
1441	C₄⋊C₄	—	2	1	no	—
1442	C₄⋊C₄	—	2	1	no	—
1443	C₄⋊C₄	—	5	1	no	—
1444	C₄⋊C₄	—	5	1	no	—
1445	C₄⋊C₄	—	5	1	no	—
1446	C₄⋊C₄	—	5	1	no	—
1447	C₄⋊C₄	—	5	1	no	—
1448	C₄⋊C₄	—	5	1	no	—
1449	C₄⋊C₄	—	5	1	no	—
1450	C₄⋊C₄	—	5	1	no	—
1451	C₄⋊C₄	—	5	1	no	—
1452	C₄⋊C₄	—	5	1	no	—
1453	C₄⋊C₄	—	5	1	no	—
1454	C₄⋊C₄	—	5	1	no	—
1455	C₄⋊C₄	—	5	1	no	—
1456	C₄⋊C₄	—	5	1	no	—
1457	C₄⋊C₄	—	5	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	—	10	1	no	—
1471	C₄⋊C₄	—	10	1	no	—
1472	C₄⋊C₄	—	10	1	no	—
1473	C₄⋊C₄	—	10	1	no	—
1474	C₄⋊C₄	—	10	1	no	—
1475	C₄⋊C₄	—	10	1	no	—
1476	C₄⋊C₄	—	10	1	no	—
1477	C₄⋊C₄	—	10	1	no	—
1478	C₄⋊C₄	—	10	1	no	—
1479	C₄⋊C₄	—	10	1	no	—
1480	C₄⋊C₄	—	10	1	no	—
1481	C₄⋊C₄	—	10	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	D₄×D₅	1	1	yes	characteristic
1491	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1492	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1493	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1494	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1495	C₂²⋊C₄	—	2	1	no	—
1496	C₂²⋊C₄	—	2	1	no	—
1497	C₂²⋊C₄	—	2	1	no	—
1498	C₂²⋊C₄	—	2	1	no	—
1499	C₂²⋊C₄	—	2	1	no	—
1500	C₂²⋊C₄	—	5	1	no	—
1501	C₂²⋊C₄	—	5	1	no	—
1502	C₂²⋊C₄	—	5	1	no	—
1503	C₂²⋊C₄	—	5	1	no	—
1504	C₂²⋊C₄	—	10	1	no	—
1505	C₂²⋊C₄	—	10	1	no	—
1506	C₂²⋊C₄	—	10	1	no	—
1507	C₂²⋊C₄	—	10	1	no	—
1508	C₂²⋊C₄	—	10	1	no	—
1509	C₂²⋊C₄	—	10	1	no	—
1510	C₂²⋊C₄	—	10	1	no	—
1511	C₂²⋊C₄	—	10	1	no	—
1512	C₂²⋊C₄	—	10	1	no	—
1513	C₂²⋊C₄	—	10	1	no	—
1514	C₂²⋊C₄	—	10	1	no	—
1515	C₂²⋊C₄	—	10	1	no	—
1516	C₂²⋊C₄	—	10	1	no	—
1517	C₂²⋊C₄	—	10	1	no	—
1518	C₂²⋊C₄	—	10	1	no	—
1519	C₂²⋊C₄	—	10	1	no	—
1520	C₂²⋊C₄	—	10	1	no	—
1521	C₂²⋊C₄	—	10	1	no	—
1522	C₂²⋊C₄	—	10	1	no	—
1523	C₂²⋊C₄	—	10	1	no	—
1524	C₂²⋊C₄	—	10	1	no	—
1525	C₂²⋊C₄	—	10	1	no	—
1526	C₄²	—	2	1	no	—
1527	C₄²	—	2	1	no	—
1528	C₄²	—	2	1	no	—
1529	C₄²	—	2	1	no	—
1530	C₄²	—	2	1	no	—
1531	C₄²	—	5	1	no	—
1532	C₄²	—	5	1	no	—
1533	C₄²	—	5	1	no	—
1534	C₄²	—	5	1	no	—
1535	C₄²	—	5	1	no	—
1536	C₄²	—	10	1	no	—
1537	C₄²	—	10	1	no	—
1538	C₄²	—	10	1	no	—
1539	C₄²	—	10	1	no	—
1540	C₄²	—	10	1	no	—
1541	C₄²	—	10	1	no	—
1542	C₄²	—	10	1	no	—
1543	C₄²	—	10	1	no	—
1544	C₄²	—	10	1	no	—
1545	C₄²	—	10	1	no	—
1546	C₄²	—	10	1	no	—
1547	C₄²	—	10	1	no	—
1548	C₄²	—	10	1	no	—
1549	C₄²	—	10	1	no	—
1550	C₄²	C₂³×D₅	1	1	yes	characteristic
1551	C₄²	C₂³×D₅	1	1	yes	characteristic
1552	C₄²	C₂³×D₅	1	1	yes	characteristic
1553	C₂×C₅	—	8	1	no	—
1554	C₂×C₅	C₂×#550	1	1	yes	characteristic
1555	C₂×C₅	C₂×#578	1	1	yes	characteristic
1556	C₂×C₅	#3586	1	1	yes	characteristic
1557	D₅	—	2	2	no	—
1558	D₅	—	8	1	no	—
1559	D₅	—	8	1	no	—
1560	C₂³	—	2	1	no	—
1561	C₂³	—	5	1	no	—
1562	C₂³	—	10	1	no	—
1563	C₂³	—	10	1	no	—
1564	Q₈	—	2	1	no	—
1565	Q₈	—	2	1	no	—
1566	Q₈	—	2	1	no	—
1567	Q₈	—	2	1	no	—
1568	Q₈	—	2	1	no	—
1569	Q₈	—	2	1	no	—
1570	Q₈	—	2	1	no	—
1571	Q₈	—	2	1	no	—
1572	Q₈	—	2	1	no	—
1573	Q₈	—	2	1	no	—
1574	Q₈	—	4	1	no	—
1575	Q₈	—	10	2	no	—
1576	Q₈	—	10	2	no	—
1577	Q₈	—	10	1	no	—
1578	Q₈	—	10	1	no	—
1579	Q₈	—	10	1	no	—
1580	Q₈	—	10	1	no	—
1581	Q₈	—	10	1	no	—
1582	Q₈	—	10	1	no	—
1583	Q₈	—	10	1	no	—
1584	Q₈	—	10	1	no	—
1585	Q₈	—	20	1	no	—
1586	Q₈	—	20	2	no	—
1587	Q₈	—	20	2	no	—
1588	Q₈	—	20	2	no	—
1589	D₄	—	2	1	no	—
1590	D₄	—	2	1	no	—
1591	D₄	—	10	1	no	—
1592	D₄	—	10	1	no	—
1593	D₄	—	10	1	no	—
1594	D₄	—	10	1	no	—
1595	D₄	—	20	2	no	—
1596	D₄	—	20	2	no	—
1597	D₄	—	20	2	no	—
1598	D₄	—	20	2	no	—
1599	D₄	—	40	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	5	1	no	—
1608	C₂×C₄	—	5	1	no	—
1609	C₂×C₄	—	5	2	no	—
1610	C₂×C₄	—	5	2	no	—
1611	C₂×C₄	—	5	1	no	—
1612	C₂×C₄	—	5	1	no	—
1613	C₂×C₄	—	5	1	no	—
1614	C₂×C₄	—	5	1	no	—
1615	C₂×C₄	—	5	1	no	—
1616	C₂×C₄	—	8	1	no	—
1617	C₂×C₄	—	10	2	no	—
1618	C₂×C₄	—	10	1	no	—
1619	C₂×C₄	—	10	1	no	—
1620	C₂×C₄	—	10	1	no	—
1621	C₂×C₄	—	10	1	no	—
1622	C₂×C₄	—	10	1	no	—
1623	C₂×C₄	—	10	1	no	—
1624	C₂×C₄	—	20	1	no	—
1625	C₂×C₄	—	20	2	no	—
1626	C₂×C₄	—	20	2	no	—
1627	C₂×C₄	—	20	2	no	—
1628	C₂×C₄	—	20	2	no	—
1629	C₂×C₄	—	20	2	no	—
1630	C₂×C₄	—	20	2	no	—
1631	C₂×C₄	—	20	2	no	—
1632	C₂×C₄	—	20	2	no	—
1633	C₂×C₄	—	40	1	no	—
1634	C₂×C₄	—	40	1	no	—
1635	C₂×C₄	—	40	1	no	—
1636	C₂×C₄	—	40	1	no	—
1637	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1638	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1639	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1640	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1641	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1642	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1643	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1644	C₈	—	2	1	no	—
1645	C₈	—	2	1	no	—
1646	C₈	—	2	1	no	—
1647	C₈	—	5	2	no	—
1648	C₈	—	10	1	no	—
1649	C₈	—	10	1	no	—
1650	C₈	—	10	1	no	—
1651	C₈	D₅×#41	1	2	yes	—
1652	C₅	#61422	1	1	yes	characteristic, complemented, Sylow
1653	C₂²	—	4	1	no	—
1654	C₂²	—	4	1	no	—
1655	C₂²	—	4	1	no	—
1656	C₂²	—	5	2	no	—
1657	C₂²	—	10	1	no	—
1658	C₂²	—	10	1	no	—
1659	C₂²	—	20	1	no	—
1660	C₂²	—	20	1	no	—
1661	C₂²	—	20	1	no	—
1662	C₂²	—	20	1	no	—
1663	C₂²	—	20	1	no	—
1664	C₂²	—	20	1	no	—
1665	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	1	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	4	1	no	—
1673	C₄	—	4	1	no	—
1674	C₄	—	4	1	no	—
1675	C₄	—	4	1	no	—
1676	C₄	—	4	1	no	—
1677	C₄	—	4	1	no	—
1678	C₄	—	4	1	no	—
1679	C₄	—	5	2	no	—
1680	C₄	—	5	2	no	—
1681	C₄	—	10	1	no	—
1682	C₄	—	10	1	no	—
1683	C₄	—	10	1	no	—
1684	C₄	—	10	1	no	—
1685	C₄	—	10	1	no	—
1686	C₄	—	20	1	no	—
1687	C₄	—	20	1	no	—
1688	C₄	—	20	1	no	—
1689	C₄	—	20	1	no	—
1690	C₄	—	20	1	no	—
1691	C₄	—	20	1	no	—
1692	C₄	C₂×D₅×#41	1	1	yes	characteristic
1693	C₄	D₅×H(5,𝔽₂)	1	1	yes	characteristic
1694	C₂	—	8	1	no	—
1695	C₂	—	10	2	no	—
1696	C₂	—	40	1	no	—
1697	C₂	—	40	1	no	—
1698	C₂	D₅×#550	1	1	yes	characteristic
1699	C₂	#10619098	1	1	yes	characteristic
1700	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×#3398	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10612328	C₂
hypercenter	#3398	D₅
hypocenter	C₅	#61422
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3398

Complements

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

N	H ≅ G/N	type
1. #10618921	C₂	semidirect
2. #10618908	C₂	semidirect
3. C₅×#3398	C₂	semidirect
4. #10615417	C₂	semidirect
5. #10615412	C₂	semidirect
6. #10613604	C₂	semidirect
7. #10613601	C₂	semidirect
8. #10613598	C₂	semidirect
9. #10613596	C₂	semidirect
10. #10613532	C₂	semidirect
11. #10613527	C₂	semidirect
12. #10612332	C₂	semidirect
14. #10612321	C₂	semidirect
15. #10612320	C₂	semidirect
16. #10612210	C₂	semidirect
17. #10612209	C₂	semidirect
18. D₅×#462	C₂	semidirect
19. #10612202	C₂	semidirect
20. #10612200	C₂	semidirect
21. #10612199	C₂	semidirect
22. #10612162	C₂	semidirect
23. #10612154	C₂	semidirect
24. #10611692	C₂	semidirect
25. #10611686	C₂	semidirect
26. #10611561	C₂	semidirect
27. #10611560	C₂	semidirect
28. #10611552	C₂	semidirect
29. #10611552	C₂	semidirect
30. #10611379	C₂	semidirect
31. #10611370	C₂	semidirect
501. #3398	D₅	semidirect
1652. C₅	#61422	semidirect

Maximal subgroups

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

subgroup	index
#10618921	2
#10618908	2
C₅×#3398	2
#10615417	2
#10615412	2
#10613604	2
#10613601	2
#10613598	2
#10613596	2
#10613532	2
#10613527	2
#10612332	2
#10612328	2
#10612321	2
#10612320	2
#10612210	2
#10612209	2
D₅×#462	2
#10612202	2
#10612200	2
#10612199	2
#10612162	2
#10612154	2
#10611692	2
#10611686	2
#10611561	2
#10611560	2
#10611552	2
#10611379	2
#10611370	2
#61422	5