Subgroups — #12981943

Order 1280.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618743	C₂	1	1	yes	maximal, characteristic
2	#10618653	C₂	1	1	yes	maximal, characteristic
3	C₅×#3312	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615321	C₂	1	1	yes	maximal, characteristic, complemented
5	D₄×#689	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613464	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613461	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613264	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613230	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613167	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613145	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612953	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612942	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612658	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612621	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612513	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612472	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612199	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612192	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611942	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611942	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611908	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611905	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611562	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611548	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611242	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611185	C₂	1	1	yes	maximal, characteristic
28	#10610703	C₂	1	1	yes	maximal, characteristic, complemented
29	#10610679	C₂	1	1	yes	maximal, characteristic, complemented
30	#10610541	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#65079	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#552	C₂²	1	1	yes	characteristic
33	C₅×D₄×Q₈	C₂²	1	1	yes	characteristic
34	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	#66146	C₂²	1	1	yes	characteristic
37	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
38	C₂²×#689	C₂²	1	1	yes	characteristic
39	C₂²×#689	C₂²	1	1	yes	characteristic
40	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
41	#66065	—	2	1	no	—
42	#66065	C₂²	1	1	yes	characteristic
43	#66055	—	2	1	no	—
44	#66055	C₂²	1	1	yes	characteristic
45	#66036	—	2	1	no	—
46	#66035	—	2	1	no	—
47	#66031	C₂²	1	1	yes	characteristic
48	#66030	—	2	1	no	—
49	#66019	—	2	1	no	—
50	#66019	C₂²	1	1	yes	characteristic
51	#65984	—	2	1	no	—
52	#65983	—	2	1	no	—
53	#65976	—	2	1	no	—
54	#65976	C₂²	1	1	yes	characteristic
55	#65975	—	2	1	no	—
56	#65975	C₂²	1	1	yes	characteristic
57	#65966	C₂²	1	1	yes	characteristic
58	#65966	C₂²	1	1	yes	characteristic
59	#65959	—	2	1	no	—
60	#65959	C₂²	1	1	yes	characteristic
61	#65959	C₂²	1	1	yes	characteristic
62	#65956	—	2	1	no	—
63	#65956	C₂²	1	1	yes	characteristic
64	#65956	C₂²	1	1	yes	characteristic
65	#65906	C₂²	1	1	yes	characteristic
66	#65906	C₂²	1	1	yes	characteristic
67	#65903	C₂²	1	1	yes	characteristic
68	#65901	C₂²	1	1	yes	characteristic
69	#65875	—	2	1	no	—
70	#65875	C₂²	1	1	yes	characteristic
71	#65872	—	2	1	no	—
72	#65872	C₂²	1	1	yes	characteristic
73	D₄×Dic₁₀	C₂²	1	1	yes	characteristic
74	#65867	C₂²	1	1	yes	characteristic
75	#65865	—	2	1	no	—
76	#65851	—	2	1	no	—
77	#65850	C₂²	1	1	yes	characteristic
78	#65847	C₂²	1	1	yes	characteristic
79	C₂×#4033	C₂²	1	1	yes	characteristic
80	C₅×#491	C₂²	1	1	yes	characteristic
81	C₅×#485	C₂²	1	1	yes	characteristic
82	C₅×#483	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic
84	C₅×#470	C₂²	1	1	yes	characteristic
85	C₅×#467	C₂²	1	1	yes	characteristic
86	C₅×#462	C₂²	1	1	yes	characteristic
87	C₅×#451	C₂²	1	1	yes	characteristic
88	C₅×#451	C₂²	1	1	yes	characteristic
89	C₅×#441	C₂²	1	1	yes	characteristic
90	C₅×#435	C₂²	1	1	yes	characteristic
91	C₅×#419	C₂²	1	1	yes	characteristic
92	C₂×C₅×#103	C₂²	1	1	yes	characteristic
93	#65517	C₂²	1	1	yes	characteristic
94	#65517	C₂²	1	1	yes	characteristic
95	#65475	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic
97	#65473	C₂²	1	1	yes	characteristic
98	#65473	C₂²	1	1	yes	characteristic
99	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
100	#65471	C₂²	1	1	yes	characteristic
101	#65471	C₂²	1	1	yes	characteristic
102	#65471	C₂²	1	1	yes	characteristic
103	#65471	C₂²	1	1	yes	characteristic
104	#65470	C₂²	1	1	yes	characteristic
105	#65470	C₂²	1	1	yes	characteristic
106	#65426	C₂²	1	1	yes	characteristic
107	#65417	C₂²	1	1	yes	characteristic
108	#65411	C₂²	1	1	yes	characteristic
109	#65409	C₂²	1	1	yes	characteristic
110	#65405	C₂²	1	1	yes	characteristic
111	#65400	C₂²	1	1	yes	characteristic
112	C₂×#3948	C₂²	1	1	yes	characteristic
113	C₂×C₈×Dic₅	C₂²	1	1	yes	characteristic
114	#65381	C₂²	1	1	yes	characteristic
115	#65379	C₂²	1	1	yes	characteristic
116	#65353	C₂²	1	1	yes	characteristic
117	#65352	C₂²	1	1	yes	characteristic
118	#65340	C₂²	1	1	yes	characteristic
119	#65340	C₂²	1	1	yes	characteristic
120	#65340	C₂²	1	1	yes	characteristic
121	#65340	C₂²	1	1	yes	characteristic
122	#65339	C₂²	1	1	yes	characteristic
123	#65339	C₂²	1	1	yes	characteristic
124	#65334	C₂²	1	1	yes	characteristic
125	#65332	C₂²	1	1	yes	characteristic
126	#65320	C₂²	1	1	yes	characteristic
127	C₄×#689	C₂²	1	1	yes	characteristic
128	C₄×#689	C₂²	1	1	yes	characteristic
129	#65311	C₂²	1	1	yes	characteristic
130	D₄×#168	C₂²	1	1	yes	characteristic
131	#65287	C₂²	1	1	yes	characteristic
132	#65285	C₂²	1	1	yes	characteristic
133	#65260	C₂²	1	1	yes	characteristic
134	C₂×#3939	C₂²	1	1	yes	characteristic
135	#65177	C₂²	1	1	yes	characteristic
136	#65166	C₂²	1	1	yes	characteristic
137	#65163	C₂²	1	1	yes	characteristic
138	#65162	C₂²	1	1	yes	characteristic
139	#65156	C₂²	1	1	yes	characteristic
140	#65149	C₂²	1	1	yes	characteristic
141	#65147	C₂²	1	1	yes	characteristic
142	#65146	C₂²	1	1	yes	characteristic
143	#65143	C₂²	1	1	yes	characteristic
144	#65143	C₂²	1	1	yes	characteristic
145	#65142	C₂²	1	1	yes	characteristic
146	#65142	C₂²	1	1	yes	characteristic
147	#65138	C₂²	1	1	yes	characteristic
148	#65129	C₂²	1	1	yes	characteristic
149	#65119	C₂²	1	1	yes	characteristic
150	#65118	C₂²	1	1	yes	characteristic
151	#65105	C₂²	1	1	yes	characteristic
152	#65105	C₂²	1	1	yes	characteristic
153	#65104	C₂²	1	1	yes	characteristic
154	#65103	C₂²	1	1	yes	characteristic
155	#65102	C₂²	1	1	yes	characteristic
156	#65102	C₂²	1	1	yes	characteristic
157	#65097	C₂²	1	1	yes	characteristic
158	#65097	C₂²	1	1	yes	characteristic
159	#65091	C₂²	1	1	yes	characteristic
160	#65091	C₂²	1	1	yes	characteristic
161	#65088	C₂²	1	1	yes	characteristic
162	#65086	C₂²	1	1	yes	characteristic
163	#65086	C₂²	1	1	yes	characteristic
164	#65085	C₂²	1	1	yes	characteristic
165	#65082	C₂²	1	1	yes	characteristic
166	#65082	C₂²	1	1	yes	characteristic
167	#65082	C₂²	1	1	yes	characteristic
168	#65082	C₂²	1	1	yes	characteristic
169	#65081	C₂²	1	1	yes	characteristic
170	#65081	C₂²	1	1	yes	characteristic
171	#65080	C₂²	1	1	yes	characteristic
172	#65080	C₂²	1	1	yes	characteristic
173	#65079	C₂²	1	1	yes	characteristic
174	#65079	C₂²	1	1	yes	characteristic
175	#65079	C₂²	1	1	yes	characteristic
176	#65079	C₂²	1	1	yes	characteristic
177	#65079	C₂²	1	1	yes	characteristic
178	#65079	C₂²	1	1	yes	characteristic
179	#65079	C₂²	1	1	yes	characteristic
180	#65079	C₂²	1	1	yes	characteristic
181	#65079	C₂²	1	1	yes	characteristic
182	#65079	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	#65078	C₂²	1	1	yes	characteristic
187	#65078	C₂²	1	1	yes	characteristic
188	#65078	C₂²	1	1	yes	characteristic
189	#65078	C₂²	1	1	yes	characteristic
190	#65078	C₂²	1	1	yes	characteristic
191	#65028	C₂²	1	1	yes	characteristic
192	#65028	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic
194	#65014	C₂²	1	1	yes	characteristic
195	#65012	C₂²	1	1	yes	characteristic
196	#65010	C₂²	1	1	yes	characteristic
197	#65009	C₂²	1	1	yes	characteristic
198	#65008	C₂²	1	1	yes	characteristic
199	#65005	C₂²	1	1	yes	characteristic
200	#64997	C₂²	1	1	yes	characteristic
201	#64992	C₂²	1	1	yes	characteristic
202	#64990	C₂²	1	1	yes	characteristic
203	#61484	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
205	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
206	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₀	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×M₁₆	C₂³	1	1	yes	characteristic
214	C₂²×C₅×C₈	C₂³	1	1	yes	characteristic
215	C₅×C₄⋊Q₈	—	2	1	no	—
216	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
217	C₅×#126	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#123	—	2	1	no	—
221	C₅×C₂²⋊Q₈	—	2	1	no	—
222	C₅×C₂²⋊Q₈	—	2	1	no	—
223	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
224	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
225	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
226	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×D₄	—	2	1	no	—
230	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
231	C₅×#117	—	2	1	no	—
232	C₅×#117	C₂³	1	1	yes	characteristic
233	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	#4092	—	2	1	no	—
235	#4092	—	2	1	no	—
236	#4092	C₂³	1	1	yes	characteristic
237	#4092	C₂³	1	1	yes	characteristic
238	Q₈×Dic₅	—	2	1	no	—
239	Q₈×Dic₅	—	2	1	no	—
240	Q₈×Dic₅	—	2	1	no	—
241	Q₈×Dic₅	—	2	1	no	—
242	Q₈×Dic₅	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	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	Q₈×Dic₅	C₂³	1	1	yes	characteristic
248	Q₈×Dic₅	C₂³	1	1	yes	characteristic
249	Q₈×Dic₅	C₂³	1	1	yes	characteristic
250	#4090	—	2	1	no	—
251	#4090	—	2	1	no	—
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	C₂×#689	—	2	4	no	—
257	C₂×#689	—	2	4	no	—
258	C₂×#689	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	#4085	D₄	1	1	yes	characteristic
269	#4081	—	2	1	no	—
270	#4081	D₄	1	1	yes	characteristic
271	D₄×Dic₅	—	2	1	no	—
272	#4075	—	2	1	no	—
273	C₄×C₂²⋊D₅	—	2	1	no	—
274	C₄×C₂²⋊D₅	—	2	1	no	—
275	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
276	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
277	#4072	—	2	1	no	—
278	#4072	—	2	1	no	—
279	#4072	—	2	1	no	—
280	#4072	C₂³	1	1	yes	characteristic
281	#4072	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₅	—	2	1	no	—
283	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
284	#4070	—	2	1	no	—
285	#4070	—	2	1	no	—
286	#4070	C₂³	1	1	yes	characteristic
287	#4070	C₂³	1	1	yes	characteristic
288	#4070	C₂³	1	1	yes	characteristic
289	#4070	C₂³	1	1	yes	characteristic
290	C₂×#683	—	2	1	no	—
291	C₂×C₄×Dic₅	—	2	1	no	—
292	C₂×C₄×Dic₅	—	2	1	no	—
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂²×#168	C₂³	1	1	yes	characteristic
295	C₂²×#168	C₂³	1	1	yes	characteristic
296	D₅×Q₁₆	—	2	4	no	—
297	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
298	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
299	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
300	C₂×#676	C₂³	1	1	yes	characteristic
301	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
302	#4044	—	2	1	no	—
303	#4044	—	2	1	no	—
304	#4044	—	2	1	no	—
305	#4044	—	2	1	no	—
306	#4044	—	2	1	no	—
307	#4044	—	2	1	no	—
308	#4044	—	2	1	no	—
309	#4044	D₄	1	1	yes	characteristic
310	#4043	C₂³	1	1	yes	characteristic
311	#4043	C₂³	1	1	yes	characteristic
312	#4042	—	2	1	no	—
313	#4042	—	2	1	no	—
314	#4038	—	2	1	no	—
315	#4038	—	2	1	no	—
316	#4038	C₂³	1	1	yes	characteristic
317	#4038	C₂³	1	1	yes	characteristic
318	#4036	—	2	1	no	—
319	#4036	—	2	1	no	—
320	#4036	—	2	1	no	—
321	#4036	—	2	1	no	—
322	#4036	—	2	1	no	—
323	#4036	—	2	1	no	—
324	#4036	—	2	1	no	—
325	#4036	C₂³	1	1	yes	characteristic
326	#4036	C₂³	1	1	yes	characteristic
327	#4035	—	2	1	no	—
328	#4035	—	2	1	no	—
329	#4035	—	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	#4035	—	2	1	no	—
341	#4035	D₄	1	1	yes	characteristic
342	#4034	—	2	1	no	—
343	#4034	—	2	1	no	—
344	#4034	—	2	1	no	—
345	#4034	—	2	1	no	—
346	#4034	—	2	1	no	—
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	—	2	1	no	—
357	#4033	—	2	1	no	—
358	#4033	C₂³	1	1	yes	characteristic
359	#4033	C₂³	1	1	yes	characteristic
360	#4033	C₂³	1	1	yes	characteristic
361	#4033	C₂³	1	1	yes	characteristic
362	#4033	C₂³	1	1	yes	characteristic
363	#4033	C₂³	1	1	yes	characteristic
364	#4033	C₂³	1	1	yes	characteristic
365	#4033	C₂³	1	1	yes	characteristic
366	#4032	—	2	1	no	—
367	#4032	D₄	1	1	yes	characteristic
368	#4031	—	2	1	no	—
369	#4031	—	2	1	no	—
370	#4031	D₄	1	1	yes	characteristic
371	#4027	—	2	1	no	—
372	#4027	—	2	1	no	—
373	#4025	—	2	1	no	—
374	#4025	—	2	1	no	—
375	#4025	—	2	1	no	—
376	#4025	—	2	1	no	—
377	#4025	—	2	1	no	—
378	#4025	—	2	1	no	—
379	#4025	—	2	1	no	—
380	#4025	D₄	1	1	yes	characteristic
381	#4024	—	2	1	no	—
382	#4024	—	2	1	no	—
383	#4024	—	2	1	no	—
384	#4024	—	2	1	no	—
385	#4024	—	2	1	no	—
386	#4024	—	2	1	no	—
387	#4024	D₄	1	1	yes	characteristic
388	#4023	—	2	1	no	—
389	#4023	—	2	1	no	—
390	#4023	—	2	1	no	—
391	#4023	—	2	1	no	—
392	#4023	—	2	1	no	—
393	#4023	—	2	1	no	—
394	#4022	—	2	1	no	—
395	#4018	—	2	1	no	—
396	#4018	—	2	1	no	—
397	#4018	C₂³	1	1	yes	characteristic
398	#4016	—	2	1	no	—
399	#4016	—	2	1	no	—
400	#4016	C₂³	1	1	yes	characteristic
401	#4015	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₀	—	2	1	no	—
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	—	2	1	no	—
407	C₄×Dic₁₀	—	2	1	no	—
408	C₄×Dic₁₀	—	2	1	no	—
409	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
410	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
411	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
412	C₅×#107	C₂³	1	1	yes	characteristic
413	C₅×#106	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
416	C₅×#103	C₂³	1	1	yes	characteristic
417	C₅×#103	C₂³	1	1	yes	characteristic
418	C₅×#103	C₂³	1	1	yes	characteristic
419	C₅×#103	C₂³	1	1	yes	characteristic
420	C₅×#103	C₂³	1	1	yes	characteristic
421	C₅×#103	C₂³	1	1	yes	characteristic
422	C₅×#103	C₂³	1	1	yes	characteristic
423	C₅×#103	C₂³	1	1	yes	characteristic
424	C₅×#103	C₂³	1	1	yes	characteristic
425	C₅×#103	C₂³	1	1	yes	characteristic
426	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
427	C₅×C₂²⋊C₈	C₂³	1	1	yes	characteristic
428	C₅×#97	C₂³	1	1	yes	characteristic
429	#3967	C₂³	1	1	yes	characteristic
430	#3967	C₂³	1	1	yes	characteristic
431	#3967	C₂³	1	1	yes	characteristic
432	#3967	C₂³	1	1	yes	characteristic
433	#3967	C₂³	1	1	yes	characteristic
434	#3967	C₂³	1	1	yes	characteristic
435	C₂²⋊#168	C₂³	1	1	yes	characteristic
436	C₂²⋊#168	C₂³	1	1	yes	characteristic
437	#3952	C₂³	1	1	yes	characteristic
438	#3952	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3949	C₂³	1	1	yes	characteristic
441	#3949	C₂³	1	1	yes	characteristic
442	#3948	C₂³	1	1	yes	characteristic
443	#3948	C₂³	1	1	yes	characteristic
444	#3948	C₂³	1	1	yes	characteristic
445	#3948	C₂³	1	1	yes	characteristic
446	#3948	C₂³	1	1	yes	characteristic
447	#3948	C₂³	1	1	yes	characteristic
448	#3948	C₂³	1	1	yes	characteristic
449	#3948	C₂³	1	1	yes	characteristic
450	#3948	C₂³	1	1	yes	characteristic
451	#3948	C₂³	1	1	yes	characteristic
452	#3947	C₂³	1	1	yes	characteristic
453	#3947	C₂³	1	1	yes	characteristic
454	#3947	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	#3946	C₂³	1	1	yes	characteristic
457	#3946	C₂³	1	1	yes	characteristic
458	#3946	C₂³	1	1	yes	characteristic
459	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	#3942	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	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3940	C₂³	1	1	yes	characteristic
473	#3940	C₂³	1	1	yes	characteristic
474	#3939	C₂³	1	1	yes	characteristic
475	#3939	C₂³	1	1	yes	characteristic
476	#3939	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	C₄⋊#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3523	—	5	1	no	—
483	#3523	—	5	1	no	—
484	#3395	—	5	1	no	—
485	#3383	—	5	1	no	—
486	#3374	—	5	1	no	—
487	#3374	—	5	1	no	—
488	#3342	—	5	1	no	—
489	#3336	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3328	—	5	1	no	—
492	#3328	—	5	1	no	—
493	#3312	—	5	1	no	—
494	#3312	—	5	1	no	—
495	#3312	—	5	1	no	—
496	#3312	D₅	1	1	yes	characteristic, complemented
497	D₄×Q₁₆	—	5	1	no	—
498	D₄×Q₁₆	—	5	1	no	—
499	D₄×Q₁₆	—	5	1	no	—
500	#3177	—	5	1	no	—
501	#3177	—	5	1	no	—
502	#3170	—	5	1	no	—
503	#3127	—	5	1	no	—
504	#3127	—	5	1	no	—
505	#3127	—	5	1	no	—
506	#3127	—	5	1	no	—
507	#3113	—	5	1	no	—
508	#3113	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2950	—	5	1	no	—
511	#2950	—	5	1	no	—
512	C₂×C₄×Q₁₆	—	5	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	—	2	1	no	—
515	C₂×C₅×Q₈	—	2	2	no	—
516	C₂×C₅×Q₈	—	2	2	no	—
517	C₂×C₅×Q₈	—	4	1	no	—
518	C₂×C₅×Q₈	—	4	1	no	—
519	C₂×C₅×Q₈	C₂⁴	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×D₄	C₂×D₄	1	1	yes	characteristic
524	C₂²×C₄×C₅	—	2	1	no	—
525	C₂²×C₄×C₅	—	2	1	no	—
526	C₂²×C₄×C₅	—	2	1	no	—
527	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
534	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
535	C₂²×Dic₅	C₂×D₄	1	1	yes	characteristic
536	Q₈×D₅	—	2	2	no	—
537	Q₈×D₅	—	2	2	no	—
538	Q₈×D₅	—	4	1	no	—
539	Q₈×D₅	—	4	1	no	—
540	C₂×C₄×D₅	—	2	1	no	—
541	C₂×C₄×D₅	—	2	1	no	—
542	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
543	C₂×Dic₁₀	—	2	2	no	—
544	C₂×Dic₁₀	—	2	2	no	—
545	C₂×Dic₁₀	—	2	1	no	—
546	C₂×Dic₁₀	—	2	1	no	—
547	C₂×Dic₁₀	—	2	1	no	—
548	C₂×Dic₁₀	—	2	1	no	—
549	C₂×Dic₁₀	—	2	1	no	—
550	C₂×Dic₁₀	—	2	1	no	—
551	C₂×Dic₁₀	—	4	1	no	—
552	C₂×Dic₁₀	—	4	1	no	—
553	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
554	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
555	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
556	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
557	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
558	C₅×Q₁₆	—	2	2	no	—
559	C₅×Q₁₆	—	4	1	no	—
560	C₅×Q₁₆	—	4	1	no	—
561	C₅×M₁₆	—	4	1	no	—
562	C₂×C₅×C₈	—	4	1	no	—
563	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
564	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
565	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
566	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
567	C₅×C₄⋊C₄	—	2	1	no	—
568	C₅×C₄⋊C₄	—	2	1	no	—
569	C₅×C₄⋊C₄	—	2	1	no	—
570	C₅×C₄⋊C₄	—	2	1	no	—
571	C₅×C₄⋊C₄	—	2	1	no	—
572	C₅×C₄⋊C₄	—	2	1	no	—
573	C₅×C₄⋊C₄	—	2	1	no	—
574	C₅×C₄⋊C₄	—	2	1	no	—
575	C₅×C₄⋊C₄	—	2	1	no	—
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
579	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
580	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
581	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
582	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
583	C₅×C₂²⋊C₄	—	2	1	no	—
584	C₅×C₂²⋊C₄	—	2	1	no	—
585	C₅×C₂²⋊C₄	—	2	1	no	—
586	C₅×C₂²⋊C₄	—	2	1	no	—
587	C₅×C₂²⋊C₄	—	2	1	no	—
588	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
590	C₄²×C₅	—	2	1	no	—
591	C₄²×C₅	—	2	1	no	—
592	C₄²×C₅	—	2	1	no	—
593	C₄²×C₅	C₂⁴	1	1	yes	characteristic
594	C₂²⋊Dic₅	—	2	1	no	—
595	C₂²⋊Dic₅	—	2	1	no	—
596	C₂²⋊Dic₅	—	2	1	no	—
597	C₂²⋊Dic₅	—	2	1	no	—
598	C₂²⋊Dic₅	—	2	1	no	—
599	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
600	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
601	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
602	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
603	#689	—	2	2	no	—
604	#689	—	2	2	no	—
605	#689	—	2	2	no	—
606	#689	—	2	2	no	—
607	#689	—	2	2	no	—
608	#689	—	2	2	no	—
609	#689	—	2	2	no	—
610	#689	—	4	1	no	—
611	#689	—	4	1	no	—
612	#689	#41	1	4	yes	—
613	#685	—	2	1	no	—
614	#685	—	2	1	no	—
615	#685	—	2	1	no	—
616	#685	—	2	1	no	—
617	#685	—	2	1	no	—
618	#685	—	2	1	no	—
619	#685	C₂×D₄	1	1	yes	characteristic
620	#685	C₂×D₄	1	1	yes	characteristic
621	#685	C₂×D₄	1	1	yes	characteristic
622	#685	C₂×D₄	1	1	yes	characteristic
623	C₄⋊Dic₅	—	2	1	no	—
624	C₄⋊Dic₅	—	2	1	no	—
625	C₄⋊Dic₅	—	2	1	no	—
626	C₄⋊Dic₅	—	2	1	no	—
627	C₄⋊Dic₅	—	2	1	no	—
628	C₄⋊Dic₅	—	2	1	no	—
629	C₄⋊Dic₅	—	2	1	no	—
630	C₄⋊Dic₅	—	2	1	no	—
631	C₄⋊Dic₅	—	2	1	no	—
632	C₄⋊Dic₅	—	2	1	no	—
633	C₄⋊Dic₅	—	2	1	no	—
634	C₄⋊Dic₅	—	2	1	no	—
635	C₄⋊Dic₅	—	2	1	no	—
636	C₄⋊Dic₅	—	2	1	no	—
637	C₄⋊Dic₅	—	2	1	no	—
638	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
643	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
644	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
645	#683	—	2	1	no	—
646	#683	—	2	1	no	—
647	#683	—	2	1	no	—
648	#683	—	2	1	no	—
649	#683	—	2	1	no	—
650	#683	—	2	1	no	—
651	#683	—	2	1	no	—
652	#683	—	2	1	no	—
653	#683	—	2	1	no	—
654	#683	—	2	1	no	—
655	#683	—	2	1	no	—
656	#683	—	2	1	no	—
657	#683	—	2	1	no	—
658	#683	—	2	1	no	—
659	#683	—	2	1	no	—
660	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
676	#683	C₂×D₄	1	1	yes	characteristic
677	#683	C₂×D₄	1	1	yes	characteristic
678	#683	C₂×D₄	1	1	yes	characteristic
679	#683	C₂×D₄	1	1	yes	characteristic
680	#683	C₂×D₄	1	1	yes	characteristic
681	C₄×Dic₅	—	2	1	no	—
682	C₄×Dic₅	—	2	1	no	—
683	C₄×Dic₅	—	2	1	no	—
684	C₄×Dic₅	—	2	1	no	—
685	C₄×Dic₅	—	2	1	no	—
686	C₄×Dic₅	—	2	1	no	—
687	C₄×Dic₅	—	2	1	no	—
688	C₄×Dic₅	—	2	1	no	—
689	C₄×Dic₅	—	2	1	no	—
690	C₄×Dic₅	—	2	1	no	—
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	C₂⁴	1	1	yes	characteristic
705	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
706	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
707	C₂×#168	—	2	2	no	—
708	C₂×#168	—	2	2	no	—
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	C₂×#168	C₂⁴	1	1	yes	characteristic
711	C₂×#168	C₂⁴	1	1	yes	characteristic
712	C₂×#168	C₂⁴	1	1	yes	characteristic
713	Dic₂₀	—	2	2	no	—
714	Dic₂₀	—	4	1	no	—
715	Dic₂₀	—	4	1	no	—
716	#676	—	4	1	no	—
717	C₈×D₅	—	2	2	no	—
718	C₂²×Q₁₆	—	5	1	no	—
719	C₂²×Q₁₆	—	5	1	no	—
720	C₂²×Q₁₆	—	5	1	no	—
721	#557	—	5	1	no	—
722	#557	—	5	1	no	—
723	#557	—	5	1	no	—
724	#557	—	5	1	no	—
725	#557	—	10	1	no	—
726	#557	—	10	1	no	—
727	#556	—	5	1	no	—
728	#556	—	5	1	no	—
729	#556	—	10	1	no	—
730	#556	—	10	1	no	—
731	#552	—	5	1	no	—
732	#552	—	5	1	no	—
733	#552	—	5	1	no	—
734	#552	—	10	1	no	—
735	#552	—	10	1	no	—
736	#552	—	10	1	no	—
737	#552	—	10	1	no	—
738	#552	C₂×D₅	1	1	yes	characteristic
739	D₄×Q₈	—	5	1	no	—
740	D₄×Q₈	—	5	1	no	—
741	D₄×Q₈	—	5	1	no	—
742	D₄×Q₈	—	5	1	no	—
743	D₄×Q₈	—	5	1	no	—
744	D₄×Q₈	C₂×D₅	1	1	yes	characteristic
745	#541	—	5	1	no	—
746	#541	—	5	1	no	—
747	#541	—	5	1	no	—
748	#541	—	5	1	no	—
749	#541	—	10	1	no	—
750	#541	—	10	1	no	—
751	#541	—	10	1	no	—
752	#541	—	10	1	no	—
753	#533	—	5	1	no	—
754	#533	—	5	1	no	—
755	#533	—	10	1	no	—
756	#533	—	10	1	no	—
757	#529	—	5	1	no	—
758	#529	—	10	1	no	—
759	#529	—	10	1	no	—
760	#519	—	5	1	no	—
761	#519	—	5	1	no	—
762	#519	—	5	1	no	—
763	#519	—	5	1	no	—
764	C₂×C₄×Q₈	—	5	1	no	—
765	C₂×C₄×Q₈	—	5	1	no	—
766	#500	—	5	1	no	—
767	#499	—	5	1	no	—
768	#499	—	5	1	no	—
769	#494	—	5	1	no	—
770	#494	—	5	1	no	—
771	#494	—	5	1	no	—
772	#491	—	5	1	no	—
773	#491	—	5	1	no	—
774	#491	—	5	1	no	—
775	#491	C₂×D₅	1	1	yes	characteristic
776	#487	—	5	1	no	—
777	#487	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	—	5	1	no	—
780	#485	—	5	1	no	—
781	#485	—	5	1	no	—
782	#485	—	5	1	no	—
783	#485	—	5	1	no	—
784	#485	—	5	1	no	—
785	#485	C₂×D₅	1	1	yes	characteristic
786	#483	—	5	1	no	—
787	#483	—	5	1	no	—
788	#483	—	5	1	no	—
789	#483	C₂×D₅	1	1	yes	characteristic
790	#479	—	5	1	no	—
791	#479	—	5	1	no	—
792	#479	—	5	1	no	—
793	#479	—	5	1	no	—
794	#479	—	5	1	no	—
795	#479	—	5	1	no	—
796	#479	—	5	1	no	—
797	#479	C₂×D₅	1	1	yes	characteristic
798	#475	—	5	1	no	—
799	#475	—	5	1	no	—
800	#475	—	5	1	no	—
801	#475	—	5	1	no	—
802	#470	—	5	1	no	—
803	#470	—	5	1	no	—
804	#470	—	5	1	no	—
805	#470	C₂×D₅	1	1	yes	characteristic
806	#467	—	5	1	no	—
807	#467	—	5	1	no	—
808	#467	—	5	1	no	—
809	#467	—	5	1	no	—
810	#467	—	5	1	no	—
811	#467	—	5	1	no	—
812	#467	—	5	1	no	—
813	#467	C₂×D₅	1	1	yes	characteristic
814	#462	—	5	1	no	—
815	#462	—	5	1	no	—
816	#462	—	5	1	no	—
817	#462	—	5	1	no	—
818	#462	—	5	1	no	—
819	#462	—	5	1	no	—
820	#462	—	5	1	no	—
821	#462	—	5	1	no	—
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#462	—	5	1	no	—
825	#462	C₂×D₅	1	1	yes	characteristic
826	#451	—	5	1	no	—
827	#451	—	5	1	no	—
828	#451	—	5	1	no	—
829	#451	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	—	5	1	no	—
834	#451	—	5	1	no	—
835	#451	—	5	1	no	—
836	#451	C₂×D₅	1	1	yes	characteristic
837	#451	C₂×D₅	1	1	yes	characteristic
838	#446	—	5	1	no	—
839	C₈×Q₈	—	5	1	no	—
840	#441	—	5	1	no	—
841	#441	—	5	1	no	—
842	#441	—	5	1	no	—
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	—	5	1	no	—
851	#441	C₂×D₅	1	1	yes	characteristic
852	C₄×Q₁₆	—	5	1	no	—
853	C₄×Q₁₆	—	5	1	no	—
854	C₄×Q₁₆	—	5	1	no	—
855	C₄×Q₁₆	—	5	1	no	—
856	C₄×Q₁₆	—	5	1	no	—
857	C₄×Q₁₆	—	5	1	no	—
858	C₄×Q₁₆	—	5	1	no	—
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	—	5	1	no	—
867	C₄×Q₁₆	—	5	1	no	—
868	#436	—	5	1	no	—
869	#435	—	5	1	no	—
870	#435	C₂×D₅	1	1	yes	characteristic
871	C₈×D₄	—	5	1	no	—
872	C₈×D₄	—	5	1	no	—
873	C₈×D₄	—	5	1	no	—
874	#433	—	5	1	no	—
875	#433	—	5	1	no	—
876	#432	—	5	1	no	—
877	#427	—	5	1	no	—
878	#427	—	5	1	no	—
879	C₂×#107	—	5	1	no	—
880	#419	—	5	1	no	—
881	#419	—	5	1	no	—
882	#419	—	5	1	no	—
883	#419	C₂×D₅	1	1	yes	characteristic
884	C₂×#103	—	5	1	no	—
885	C₂×#103	C₂×D₅	1	1	yes	characteristic
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	C₂×C₄×C₈	—	5	1	no	—
889	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
890	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
891	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
892	C₅×Q₈	—	2	1	no	—
893	C₅×Q₈	—	2	1	no	—
894	C₅×Q₈	—	2	1	no	—
895	C₅×Q₈	—	2	1	no	—
896	C₅×Q₈	—	2	1	no	—
897	C₅×Q₈	—	2	1	no	—
898	C₅×Q₈	—	2	1	no	—
899	C₅×Q₈	—	4	2	no	—
900	C₅×Q₈	—	4	2	no	—
901	C₅×Q₈	C₂×#41	1	2	yes	—
902	C₅×D₄	—	2	2	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	2	1	no	—
905	C₂×C₄×C₅	—	2	1	no	—
906	C₂×C₄×C₅	—	2	1	no	—
907	C₂×C₄×C₅	—	2	1	no	—
908	C₂×C₄×C₅	—	2	1	no	—
909	C₂×C₄×C₅	—	2	1	no	—
910	C₂×C₄×C₅	—	2	1	no	—
911	C₂×C₄×C₅	—	2	1	no	—
912	C₂×C₄×C₅	—	2	1	no	—
913	C₂×C₄×C₅	—	2	1	no	—
914	C₂×C₄×C₅	—	2	1	no	—
915	C₂×C₄×C₅	—	4	2	no	—
916	C₂×C₄×C₅	—	4	2	no	—
917	C₂×C₄×C₅	—	4	2	no	—
918	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
919	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
920	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
921	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
922	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
923	C₂²⋊D₅	—	2	2	no	—
924	C₂²⋊D₅	—	2	2	no	—
925	C₂×Dic₅	—	2	2	no	—
926	C₂×Dic₅	—	2	1	no	—
927	C₂×Dic₅	—	2	2	no	—
928	C₂×Dic₅	—	2	1	no	—
929	C₂×Dic₅	—	2	1	no	—
930	C₂×Dic₅	—	2	1	no	—
931	C₂×Dic₅	—	2	1	no	—
932	C₂×Dic₅	—	2	1	no	—
933	C₂×Dic₅	—	2	1	no	—
934	C₂×Dic₅	—	2	1	no	—
935	C₂×Dic₅	—	4	2	no	—
936	C₂×Dic₅	—	4	2	no	—
937	C₂×Dic₅	—	4	2	no	—
938	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
939	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
940	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
941	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
942	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
943	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
944	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
945	C₄×D₅	—	2	1	no	—
946	C₄×D₅	—	2	1	no	—
947	C₄×D₅	—	4	2	no	—
948	C₄×D₅	—	4	2	no	—
949	Dic₁₀	—	2	1	no	—
950	Dic₁₀	—	2	2	no	—
951	Dic₁₀	—	2	1	no	—
952	Dic₁₀	—	2	1	no	—
953	Dic₁₀	—	2	1	no	—
954	Dic₁₀	—	2	1	no	—
955	Dic₁₀	—	2	1	no	—
956	Dic₁₀	—	2	1	no	—
957	Dic₁₀	—	4	2	no	—
958	Dic₁₀	—	4	2	no	—
959	Dic₁₀	—	4	2	no	—
960	Dic₁₀	—	4	2	no	—
961	Dic₁₀	—	4	2	no	—
962	Dic₁₀	—	4	2	no	—
963	Dic₁₀	C₂×#41	1	2	yes	—
964	C₅×C₈	—	2	1	no	—
965	C₅×C₈	—	2	1	no	—
966	C₅×C₈	—	2	1	no	—
967	C₅×C₈	—	2	1	no	—
968	#168	—	2	1	no	—
969	#168	—	2	1	no	—
970	#168	—	2	1	no	—
971	#168	C₂×#41	1	2	yes	—
972	C₂²×Q₈	—	5	1	no	—
973	C₂²×Q₈	—	5	1	no	—
974	C₂²×Q₈	—	5	1	no	—
975	C₂²×Q₈	—	5	1	no	—
976	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
977	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
978	C₂×Q₁₆	—	5	1	no	—
979	C₂×Q₁₆	—	5	1	no	—
980	C₂×Q₁₆	—	5	1	no	—
981	C₂×Q₁₆	—	5	1	no	—
982	C₂×Q₁₆	—	5	1	no	—
983	C₂×Q₁₆	—	5	1	no	—
984	C₂×Q₁₆	—	5	1	no	—
985	C₂×Q₁₆	—	5	1	no	—
986	C₂×Q₁₆	—	5	1	no	—
987	C₂×Q₁₆	—	5	1	no	—
988	C₂×Q₁₆	—	5	1	no	—
989	C₂×Q₁₆	—	5	1	no	—
990	C₂×Q₁₆	—	5	1	no	—
991	C₂×Q₁₆	—	10	4	no	—
992	C₂×Q₁₆	—	10	4	no	—
993	C₂×Q₁₆	—	10	4	no	—
994	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
995	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
996	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
997	C₂×M₁₆	—	5	1	no	—
998	C₂×M₁₆	C₂²×D₅	1	1	yes	characteristic
999	C₂²×C₈	—	5	1	no	—
1000	C₂²×C₈	—	5	1	no	—
1001	C₂²×C₈	—	5	1	no	—
1002	C₂²×C₈	C₂²×D₅	1	1	yes	characteristic
1003	C₄⋊Q₈	—	2	1	no	—
1004	C₄⋊Q₈	—	5	1	no	—
1005	C₄⋊Q₈	—	5	1	no	—
1006	C₄⋊Q₈	—	5	1	no	—
1007	C₄⋊Q₈	—	5	1	no	—
1008	C₄⋊Q₈	—	5	1	no	—
1009	C₄⋊Q₈	—	5	1	no	—
1010	C₄⋊Q₈	—	5	1	no	—
1011	C₄⋊Q₈	—	10	1	no	—
1012	C₄⋊Q₈	—	10	1	no	—
1013	C₄⋊Q₈	—	10	1	no	—
1014	C₄⋊Q₈	—	10	1	no	—
1015	C₄⋊Q₈	—	10	1	no	—
1016	C₄⋊Q₈	—	10	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1019	#126	—	2	1	no	—
1020	#126	—	5	1	no	—
1021	#126	—	5	1	no	—
1022	#126	—	10	1	no	—
1023	#126	—	10	1	no	—
1024	#126	—	10	1	no	—
1025	#126	—	10	1	no	—
1026	#126	—	10	1	no	—
1027	#126	—	10	1	no	—
1028	#126	—	10	1	no	—
1029	#126	—	10	1	no	—
1030	#126	—	10	1	no	—
1031	#126	—	10	1	no	—
1032	#126	—	10	1	no	—
1033	#126	—	10	1	no	—
1034	#126	—	10	1	no	—
1035	#126	—	10	1	no	—
1036	#126	—	10	1	no	—
1037	#125	—	2	1	no	—
1038	#125	—	5	1	no	—
1039	#125	—	5	1	no	—
1040	#125	—	5	1	no	—
1041	#125	—	5	1	no	—
1042	#125	—	10	1	no	—
1043	#125	—	10	1	no	—
1044	#125	—	10	1	no	—
1045	#125	—	10	1	no	—
1046	#125	—	10	1	no	—
1047	#125	—	10	1	no	—
1048	#125	—	10	1	no	—
1049	#125	—	10	1	no	—
1050	#125	—	10	1	no	—
1051	#125	—	10	1	no	—
1052	#125	—	10	1	no	—
1053	#125	—	10	1	no	—
1054	#125	—	10	1	no	—
1055	#125	—	10	1	no	—
1056	#125	—	10	1	no	—
1057	#125	—	10	1	no	—
1058	#125	—	10	1	no	—
1059	#125	—	10	1	no	—
1060	#125	—	10	1	no	—
1061	#125	—	10	1	no	—
1062	#125	—	10	1	no	—
1063	#125	—	10	1	no	—
1064	#125	—	10	1	no	—
1065	#125	C₂²×D₅	1	1	yes	characteristic
1066	#124	—	5	1	no	—
1067	#124	—	10	1	no	—
1068	#124	—	10	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	5	1	no	—
1071	#123	—	5	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	C₂²⋊Q₈	—	2	1	no	—
1076	C₂²⋊Q₈	—	2	1	no	—
1077	C₂²⋊Q₈	—	5	1	no	—
1078	C₂²⋊Q₈	—	5	1	no	—
1079	C₂²⋊Q₈	—	5	1	no	—
1080	C₂²⋊Q₈	—	5	1	no	—
1081	C₂²⋊Q₈	—	5	1	no	—
1082	C₂²⋊Q₈	—	5	1	no	—
1083	C₂²⋊Q₈	—	5	1	no	—
1084	C₂²⋊Q₈	—	5	1	no	—
1085	C₂²⋊Q₈	—	5	1	no	—
1086	C₂²⋊Q₈	—	10	1	no	—
1087	C₂²⋊Q₈	—	10	1	no	—
1088	C₂²⋊Q₈	—	10	1	no	—
1089	C₂²⋊Q₈	—	10	1	no	—
1090	C₂²⋊Q₈	—	10	1	no	—
1091	C₂²⋊Q₈	—	10	1	no	—
1092	C₂²⋊Q₈	—	10	1	no	—
1093	C₂²⋊Q₈	—	10	1	no	—
1094	C₂²⋊Q₈	—	10	1	no	—
1095	C₂²⋊Q₈	—	10	1	no	—
1096	C₂²⋊Q₈	—	10	1	no	—
1097	C₂²⋊Q₈	—	10	1	no	—
1098	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1099	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1100	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1101	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1102	#121	—	5	1	no	—
1103	C₄×Q₈	—	5	1	no	—
1104	C₄×Q₈	—	5	1	no	—
1105	C₄×Q₈	—	5	1	no	—
1106	C₄×Q₈	—	5	1	no	—
1107	C₄×Q₈	—	5	1	no	—
1108	C₄×Q₈	—	5	1	no	—
1109	C₄×Q₈	—	5	1	no	—
1110	C₄×Q₈	—	5	1	no	—
1111	C₄×Q₈	—	5	1	no	—
1112	C₄×Q₈	—	5	1	no	—
1113	C₄×Q₈	—	5	1	no	—
1114	C₄×Q₈	—	5	1	no	—
1115	C₄×Q₈	—	5	1	no	—
1116	C₄×Q₈	—	5	1	no	—
1117	C₄×Q₈	—	5	1	no	—
1118	C₄×Q₈	—	5	1	no	—
1119	C₄×Q₈	—	5	1	no	—
1120	C₄×Q₈	—	5	1	no	—
1121	C₄×Q₈	—	5	1	no	—
1122	C₄×Q₈	—	10	1	no	—
1123	C₄×Q₈	—	10	1	no	—
1124	C₄×Q₈	—	10	1	no	—
1125	C₄×Q₈	—	10	1	no	—
1126	C₄×Q₈	—	10	1	no	—
1127	C₄×Q₈	—	10	1	no	—
1128	C₄×Q₈	—	10	1	no	—
1129	C₄×Q₈	—	10	1	no	—
1130	C₄×Q₈	—	10	1	no	—
1131	C₄×Q₈	—	10	1	no	—
1132	C₄×Q₈	—	10	1	no	—
1133	C₄×Q₈	—	10	1	no	—
1134	C₄×Q₈	—	10	1	no	—
1135	C₄×Q₈	—	10	1	no	—
1136	C₄×Q₈	—	10	1	no	—
1137	C₄×Q₈	—	10	1	no	—
1138	C₄×Q₈	—	10	1	no	—
1139	C₄×Q₈	—	10	1	no	—
1140	C₄×Q₈	—	10	1	no	—
1141	C₄×Q₈	—	10	1	no	—
1142	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1143	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	5	1	no	—
1147	C₄×D₄	—	10	1	no	—
1148	C₄×D₄	—	10	1	no	—
1149	C₄×D₄	—	10	1	no	—
1150	C₄×D₄	—	10	1	no	—
1151	C₄×D₄	—	10	1	no	—
1152	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1153	#117	—	2	1	no	—
1154	#117	—	5	1	no	—
1155	#117	—	5	1	no	—
1156	#117	—	5	1	no	—
1157	#117	—	5	1	no	—
1158	#117	—	5	1	no	—
1159	#117	—	10	1	no	—
1160	#117	—	10	1	no	—
1161	#117	—	10	1	no	—
1162	#117	—	10	1	no	—
1163	#117	—	10	1	no	—
1164	#117	—	10	1	no	—
1165	#117	—	10	1	no	—
1166	#117	—	10	1	no	—
1167	#117	—	10	1	no	—
1168	#117	—	10	1	no	—
1169	#117	—	10	1	no	—
1170	#117	—	10	1	no	—
1171	#117	—	10	1	no	—
1172	#117	C₂²×D₅	1	1	yes	characteristic
1173	C₂×C₄⋊C₄	—	5	1	no	—
1174	C₂×C₄⋊C₄	—	10	1	no	—
1175	C₂×C₄⋊C₄	—	10	1	no	—
1176	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
1177	C₂×C₄²	—	5	1	no	—
1178	C₂×C₄²	—	10	1	no	—
1179	C₂×C₄²	—	10	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	—	5	1	no	—
1184	#107	—	5	1	no	—
1185	#107	—	5	1	no	—
1186	#107	—	5	1	no	—
1187	#107	C₂²×D₅	1	1	yes	characteristic
1188	#106	—	5	1	no	—
1189	#106	—	5	1	no	—
1190	#106	—	5	1	no	—
1191	#106	—	5	1	no	—
1192	#106	—	5	1	no	—
1193	#106	—	5	1	no	—
1194	#106	C₂²×D₅	1	1	yes	characteristic
1195	#106	C₂²×D₅	1	1	yes	characteristic
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	—	5	1	no	—
1200	C₄⋊C₈	—	5	1	no	—
1201	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1202	#103	—	5	1	no	—
1203	#103	—	5	1	no	—
1204	#103	—	5	1	no	—
1205	#103	—	5	1	no	—
1206	#103	—	5	1	no	—
1207	#103	—	5	1	no	—
1208	#103	—	5	1	no	—
1209	#103	—	5	1	no	—
1210	#103	—	5	1	no	—
1211	#103	—	5	1	no	—
1212	#103	—	5	1	no	—
1213	#103	—	5	1	no	—
1214	#103	—	5	1	no	—
1215	#103	—	5	1	no	—
1216	#103	—	5	1	no	—
1217	#103	—	5	1	no	—
1218	#103	—	5	1	no	—
1219	#103	—	5	1	no	—
1220	#103	—	5	1	no	—
1221	#103	—	5	1	no	—
1222	#103	—	5	1	no	—
1223	#103	—	5	1	no	—
1224	#103	C₂²×D₅	1	1	yes	characteristic
1225	#103	C₂²×D₅	1	1	yes	characteristic
1226	#103	C₂²×D₅	1	1	yes	characteristic
1227	#103	C₂²×D₅	1	1	yes	characteristic
1228	#103	C₂²×D₅	1	1	yes	characteristic
1229	#103	C₂²×D₅	1	1	yes	characteristic
1230	#103	C₂²×D₅	1	1	yes	characteristic
1231	#103	C₂²×D₅	1	1	yes	characteristic
1232	#103	C₂²×D₅	1	1	yes	characteristic
1233	#103	C₂²×D₅	1	1	yes	characteristic
1234	C₂²⋊C₈	—	5	1	no	—
1235	C₂²⋊C₈	—	5	1	no	—
1236	C₂²⋊C₈	—	5	1	no	—
1237	C₂²⋊C₈	—	5	1	no	—
1238	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1239	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1240	#97	—	5	1	no	—
1241	#97	—	5	1	no	—
1242	#97	—	5	1	no	—
1243	#97	C₂²×D₅	1	1	yes	characteristic
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	C₂²×C₅	—	2	1	no	—
1251	C₂²×C₅	—	2	1	no	—
1252	C₂²×C₅	—	2	1	no	—
1253	C₂²×C₅	—	2	1	no	—
1254	C₂²×C₅	—	2	1	no	—
1255	C₂²×C₅	#578	1	2	yes	—
1256	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1257	C₂×D₅	—	2	1	no	—
1258	C₂×D₅	—	2	1	no	—
1259	C₂×D₅	—	2	1	no	—
1260	C₄×C₅	—	2	1	no	—
1261	C₄×C₅	—	2	1	no	—
1262	C₄×C₅	—	2	2	no	—
1263	C₄×C₅	—	2	1	no	—
1264	C₄×C₅	—	2	1	no	—
1265	C₄×C₅	—	4	1	no	—
1266	C₄×C₅	—	4	1	no	—
1267	C₄×C₅	—	4	1	no	—
1268	C₄×C₅	—	4	1	no	—
1269	C₄×C₅	—	4	1	no	—
1270	C₄×C₅	—	4	1	no	—
1271	C₄×C₅	—	4	1	no	—
1272	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1273	C₄×C₅	#585	1	1	yes	characteristic
1274	Dic₅	—	2	2	no	—
1275	Dic₅	—	2	1	no	—
1276	Dic₅	—	2	1	no	—
1277	Dic₅	—	2	1	no	—
1278	Dic₅	—	2	1	no	—
1279	Dic₅	—	2	1	no	—
1280	Dic₅	—	2	1	no	—
1281	Dic₅	—	4	1	no	—
1282	Dic₅	—	4	1	no	—
1283	Dic₅	—	4	1	no	—
1284	Dic₅	—	4	1	no	—
1285	Dic₅	—	4	1	no	—
1286	Dic₅	—	4	1	no	—
1287	Dic₅	—	4	1	no	—
1288	Dic₅	#578	1	2	yes	—
1289	C₂×Q₈	—	2	1	no	—
1290	C₂×Q₈	—	2	1	no	—
1291	C₂×Q₈	—	2	2	no	—
1292	C₂×Q₈	—	2	2	no	—
1293	C₂×Q₈	—	4	1	no	—
1294	C₂×Q₈	—	4	1	no	—
1295	C₂×Q₈	—	5	1	no	—
1296	C₂×Q₈	—	5	1	no	—
1297	C₂×Q₈	—	5	1	no	—
1298	C₂×Q₈	—	5	1	no	—
1299	C₂×Q₈	—	5	1	no	—
1300	C₂×Q₈	—	10	1	no	—
1301	C₂×Q₈	—	10	1	no	—
1302	C₂×Q₈	—	10	1	no	—
1303	C₂×Q₈	—	10	1	no	—
1304	C₂×Q₈	—	10	2	no	—
1305	C₂×Q₈	—	10	2	no	—
1306	C₂×Q₈	—	10	1	no	—
1307	C₂×Q₈	—	10	1	no	—
1308	C₂×Q₈	—	10	2	no	—
1309	C₂×Q₈	—	10	2	no	—
1310	C₂×Q₈	—	20	1	no	—
1311	C₂×Q₈	—	20	1	no	—
1312	C₂×Q₈	—	20	1	no	—
1313	C₂×Q₈	—	20	1	no	—
1314	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1315	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1316	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1317	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1318	C₂×D₄	—	5	1	no	—
1319	C₂×D₄	—	5	1	no	—
1320	C₂×D₄	D₄×D₅	1	1	yes	characteristic
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	—	2	1	no	—
1323	C₂²×C₄	—	2	1	no	—
1324	C₂²×C₄	—	5	1	no	—
1325	C₂²×C₄	—	5	1	no	—
1326	C₂²×C₄	—	5	1	no	—
1327	C₂²×C₄	—	10	1	no	—
1328	C₂²×C₄	—	10	1	no	—
1329	C₂²×C₄	—	10	1	no	—
1330	C₂²×C₄	—	10	1	no	—
1331	C₂²×C₄	—	10	1	no	—
1332	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1333	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1334	Q₁₆	—	2	2	no	—
1335	Q₁₆	—	4	1	no	—
1336	Q₁₆	—	4	1	no	—
1337	Q₁₆	—	5	4	no	—
1338	Q₁₆	—	10	2	no	—
1339	Q₁₆	—	10	2	no	—
1340	Q₁₆	—	10	2	no	—
1341	Q₁₆	—	10	2	no	—
1342	Q₁₆	—	10	2	no	—
1343	Q₁₆	—	10	2	no	—
1344	Q₁₆	—	10	2	no	—
1345	Q₁₆	—	10	2	no	—
1346	Q₁₆	—	20	1	no	—
1347	Q₁₆	—	20	1	no	—
1348	Q₁₆	—	20	1	no	—
1349	Q₁₆	—	20	1	no	—
1350	M₁₆	—	4	1	no	—
1351	M₁₆	—	20	1	no	—
1352	C₂×C₈	—	4	1	no	—
1353	C₂×C₈	—	5	1	no	—
1354	C₂×C₈	—	5	1	no	—
1355	C₂×C₈	—	5	1	no	—
1356	C₂×C₈	—	5	1	no	—
1357	C₂×C₈	—	10	2	no	—
1358	C₂×C₈	—	10	2	no	—
1359	C₂×C₈	—	10	2	no	—
1360	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1361	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1362	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1363	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	5	1	no	—
1376	C₄⋊C₄	—	5	1	no	—
1377	C₄⋊C₄	—	5	1	no	—
1378	C₄⋊C₄	—	5	1	no	—
1379	C₄⋊C₄	—	5	1	no	—
1380	C₄⋊C₄	—	5	1	no	—
1381	C₄⋊C₄	—	5	1	no	—
1382	C₄⋊C₄	—	5	1	no	—
1383	C₄⋊C₄	—	5	1	no	—
1384	C₄⋊C₄	—	5	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	1	no	—
1387	C₄⋊C₄	—	5	1	no	—
1388	C₄⋊C₄	—	10	1	no	—
1389	C₄⋊C₄	—	10	1	no	—
1390	C₄⋊C₄	—	10	1	no	—
1391	C₄⋊C₄	—	10	1	no	—
1392	C₄⋊C₄	—	10	1	no	—
1393	C₄⋊C₄	—	10	1	no	—
1394	C₄⋊C₄	—	10	1	no	—
1395	C₄⋊C₄	—	10	1	no	—
1396	C₄⋊C₄	—	10	1	no	—
1397	C₄⋊C₄	—	10	1	no	—
1398	C₄⋊C₄	—	10	1	no	—
1399	C₄⋊C₄	—	10	1	no	—
1400	C₄⋊C₄	—	10	1	no	—
1401	C₄⋊C₄	—	10	1	no	—
1402	C₄⋊C₄	—	10	1	no	—
1403	C₄⋊C₄	—	10	1	no	—
1404	C₄⋊C₄	—	10	1	no	—
1405	C₄⋊C₄	—	10	1	no	—
1406	C₄⋊C₄	—	10	1	no	—
1407	C₄⋊C₄	—	10	1	no	—
1408	C₄⋊C₄	—	10	1	no	—
1409	C₄⋊C₄	—	10	1	no	—
1410	C₄⋊C₄	—	10	1	no	—
1411	C₄⋊C₄	—	10	1	no	—
1412	C₄⋊C₄	—	10	1	no	—
1413	C₄⋊C₄	—	10	1	no	—
1414	C₄⋊C₄	—	10	1	no	—
1415	C₄⋊C₄	—	10	1	no	—
1416	C₄⋊C₄	—	10	1	no	—
1417	C₄⋊C₄	—	10	1	no	—
1418	C₄⋊C₄	—	10	1	no	—
1419	C₄⋊C₄	—	10	1	no	—
1420	C₄⋊C₄	—	10	1	no	—
1421	C₄⋊C₄	—	10	1	no	—
1422	C₄⋊C₄	—	10	1	no	—
1423	C₄⋊C₄	—	10	1	no	—
1424	C₄⋊C₄	—	10	1	no	—
1425	C₄⋊C₄	—	10	1	no	—
1426	C₄⋊C₄	—	10	1	no	—
1427	C₄⋊C₄	—	10	1	no	—
1428	C₄⋊C₄	—	10	1	no	—
1429	C₄⋊C₄	—	10	1	no	—
1430	C₄⋊C₄	—	10	1	no	—
1431	C₄⋊C₄	—	10	1	no	—
1432	C₄⋊C₄	—	10	1	no	—
1433	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1434	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1435	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1436	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1437	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	5	1	no	—
1444	C₂²⋊C₄	—	5	1	no	—
1445	C₂²⋊C₄	—	5	1	no	—
1446	C₂²⋊C₄	—	5	1	no	—
1447	C₂²⋊C₄	—	5	1	no	—
1448	C₂²⋊C₄	—	5	1	no	—
1449	C₂²⋊C₄	—	5	1	no	—
1450	C₂²⋊C₄	—	5	1	no	—
1451	C₂²⋊C₄	—	10	1	no	—
1452	C₂²⋊C₄	—	10	1	no	—
1453	C₂²⋊C₄	—	10	1	no	—
1454	C₂²⋊C₄	—	10	1	no	—
1455	C₂²⋊C₄	—	10	1	no	—
1456	C₂²⋊C₄	—	10	1	no	—
1457	C₂²⋊C₄	—	10	1	no	—
1458	C₂²⋊C₄	—	10	1	no	—
1459	C₂²⋊C₄	—	10	1	no	—
1460	C₂²⋊C₄	—	10	1	no	—
1461	C₂²⋊C₄	—	10	1	no	—
1462	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1463	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	2	1	no	—
1467	C₄²	—	5	1	no	—
1468	C₄²	—	5	1	no	—
1469	C₄²	—	5	1	no	—
1470	C₄²	—	5	1	no	—
1471	C₄²	—	5	1	no	—
1472	C₄²	—	10	1	no	—
1473	C₄²	—	10	1	no	—
1474	C₄²	—	10	1	no	—
1475	C₄²	—	10	1	no	—
1476	C₄²	—	10	1	no	—
1477	C₄²	—	10	1	no	—
1478	C₄²	—	10	1	no	—
1479	C₄²	—	10	1	no	—
1480	C₄²	—	10	1	no	—
1481	C₄²	—	10	1	no	—
1482	C₄²	—	10	1	no	—
1483	C₄²	—	10	1	no	—
1484	C₄²	—	10	1	no	—
1485	C₄²	—	10	1	no	—
1486	C₄²	—	10	1	no	—
1487	C₄²	—	10	1	no	—
1488	C₄²	—	10	1	no	—
1489	C₄²	—	10	1	no	—
1490	C₄²	—	10	1	no	—
1491	C₄²	—	10	1	no	—
1492	C₄²	—	10	1	no	—
1493	C₄²	C₂³×D₅	1	1	yes	characteristic
1494	C₂×C₅	—	2	2	no	—
1495	C₂×C₅	—	4	1	no	—
1496	C₂×C₅	D₄×#41	1	1	yes	characteristic
1497	C₂×C₅	C₂×#578	1	1	yes	characteristic
1498	C₂×C₅	C₂×#578	1	1	yes	characteristic
1499	D₅	—	4	1	no	—
1500	C₂³	—	5	1	no	—
1501	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1502	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1503	Q₈	—	2	1	no	—
1504	Q₈	—	2	1	no	—
1505	Q₈	—	2	1	no	—
1506	Q₈	—	2	1	no	—
1507	Q₈	—	2	1	no	—
1508	Q₈	—	2	1	no	—
1509	Q₈	—	2	1	no	—
1510	Q₈	—	4	2	no	—
1511	Q₈	—	4	2	no	—
1512	Q₈	—	5	2	no	—
1513	Q₈	—	10	2	no	—
1514	Q₈	—	10	1	no	—
1515	Q₈	—	10	1	no	—
1516	Q₈	—	10	1	no	—
1517	Q₈	—	10	1	no	—
1518	Q₈	—	10	1	no	—
1519	Q₈	—	10	1	no	—
1520	Q₈	—	10	1	no	—
1521	Q₈	—	20	2	no	—
1522	Q₈	—	20	2	no	—
1523	Q₈	—	20	2	no	—
1524	Q₈	—	20	2	no	—
1525	Q₈	—	20	2	no	—
1526	Q₈	—	20	2	no	—
1527	Q₈	D₅×#41	1	2	yes	—
1528	D₄	—	2	2	no	—
1529	D₄	—	10	2	no	—
1530	D₄	—	10	2	no	—
1531	C₂×C₄	—	2	1	no	—
1532	C₂×C₄	—	2	1	no	—
1533	C₂×C₄	—	2	1	no	—
1534	C₂×C₄	—	2	1	no	—
1535	C₂×C₄	—	2	1	no	—
1536	C₂×C₄	—	2	1	no	—
1537	C₂×C₄	—	2	1	no	—
1538	C₂×C₄	—	2	1	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	4	2	no	—
1544	C₂×C₄	—	4	2	no	—
1545	C₂×C₄	—	4	2	no	—
1546	C₂×C₄	—	5	1	no	—
1547	C₂×C₄	—	5	1	no	—
1548	C₂×C₄	—	5	1	no	—
1549	C₂×C₄	—	5	1	no	—
1550	C₂×C₄	—	5	1	no	—
1551	C₂×C₄	—	5	1	no	—
1552	C₂×C₄	—	5	1	no	—
1553	C₂×C₄	—	10	2	no	—
1554	C₂×C₄	—	10	2	no	—
1555	C₂×C₄	—	10	1	no	—
1556	C₂×C₄	—	10	1	no	—
1557	C₂×C₄	—	10	1	no	—
1558	C₂×C₄	—	10	1	no	—
1559	C₂×C₄	—	10	1	no	—
1560	C₂×C₄	—	10	1	no	—
1561	C₂×C₄	—	10	1	no	—
1562	C₂×C₄	—	10	1	no	—
1563	C₂×C₄	—	10	1	no	—
1564	C₂×C₄	—	10	1	no	—
1565	C₂×C₄	—	20	2	no	—
1566	C₂×C₄	—	20	2	no	—
1567	C₂×C₄	—	20	2	no	—
1568	C₂×C₄	—	20	2	no	—
1569	C₂×C₄	—	20	2	no	—
1570	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1571	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1572	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1573	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1574	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1575	C₈	—	2	1	no	—
1576	C₈	—	2	1	no	—
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	5	2	no	—
1580	C₈	—	10	1	no	—
1581	C₈	—	10	1	no	—
1582	C₈	—	10	1	no	—
1583	C₅	#61484	1	1	yes	characteristic, complemented, Sylow
1584	C₂²	—	2	1	no	—
1585	C₂²	—	2	1	no	—
1586	C₂²	—	2	1	no	—
1587	C₂²	—	2	1	no	—
1588	C₂²	—	2	1	no	—
1589	C₂²	—	10	1	no	—
1590	C₂²	—	10	1	no	—
1591	C₂²	—	10	1	no	—
1592	C₂²	#66113	1	2	yes	—
1593	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1594	C₄	—	2	1	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	2	2	no	—
1597	C₄	—	2	1	no	—
1598	C₄	—	2	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	4	1	no	—
1604	C₄	—	4	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	5	2	no	—
1607	C₄	—	10	1	no	—
1608	C₄	—	10	2	no	—
1609	C₄	—	10	1	no	—
1610	C₄	—	10	1	no	—
1611	C₄	—	10	1	no	—
1612	C₄	—	10	1	no	—
1613	C₄	—	10	1	no	—
1614	C₄	—	20	1	no	—
1615	C₄	—	20	1	no	—
1616	C₄	—	20	1	no	—
1617	C₄	—	20	1	no	—
1618	C₄	—	20	1	no	—
1619	C₄	—	20	1	no	—
1620	C₄	—	20	1	no	—
1621	C₄	C₂×D₅×#41	1	1	yes	characteristic
1622	C₄	#66285	1	1	yes	characteristic
1623	C₂	—	2	2	no	—
1624	C₂	—	4	1	no	—
1625	C₂	—	20	1	no	—
1626	C₂	#10618527	1	1	yes	characteristic
1627	C₂	C₂×#66113	1	1	yes	characteristic
1628	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×#3312	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#4085	D₄
hypercenter	#3312	D₅
hypocenter	C₅	#61484
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3312

Complements

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

N	H ≅ G/N	type
3. C₅×#3312	C₂	semidirect
4. #10615321	C₂	semidirect
5. D₄×#689	C₂	semidirect
6. #10613464	C₂	semidirect
7. #10613461	C₂	semidirect
8. #10613264	C₂	semidirect
9. #10613230	C₂	semidirect
10. #10613167	C₂	semidirect
11. #10613145	C₂	semidirect
12. #10612953	C₂	semidirect
13. #10612942	C₂	semidirect
14. #10612658	C₂	semidirect
15. #10612621	C₂	semidirect
16. #10612513	C₂	semidirect
17. #10612472	C₂	semidirect
18. #10612199	C₂	semidirect
19. #10612192	C₂	semidirect
20. #10611942	C₂	semidirect
21. #10611942	C₂	semidirect
22. #10611908	C₂	semidirect
23. #10611905	C₂	semidirect
24. #10611562	C₂	semidirect
25. #10611548	C₂	semidirect
26. #10611242	C₂	semidirect
28. #10610703	C₂	semidirect
29. #10610679	C₂	semidirect
30. #10610541	C₂	semidirect
31. C₂×#65079	C₂	semidirect
496. #3312	D₅	semidirect
1583. C₅	#61484	semidirect

Maximal subgroups

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

subgroup	index
#10618743	2
#10618653	2
C₅×#3312	2
#10615321	2
D₄×#689	2
#10613464	2
#10613461	2
#10613264	2
#10613230	2
#10613167	2
#10613145	2
#10612953	2
#10612942	2
#10612658	2
#10612621	2
#10612513	2
#10612472	2
#10612199	2
#10612192	2
#10611942	2
#10611908	2
#10611905	2
#10611562	2
#10611548	2
#10611242	2
#10611185	2
#10610703	2
#10610679	2
#10610541	2
C₂×#65079	2
#61484	5