Subgroups — #12981723

Order 1280.

1770 conjugacy classes of subgroups.

The subgroup lattice has 1662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618456	C₂	1	1	yes	maximal, characteristic, complemented
2	#10617784	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3121	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615188	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614280	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613261	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613260	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613142	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613119	C₂	1	1	yes	maximal, characteristic, complemented
10	#10612856	C₂	1	1	yes	maximal, characteristic, complemented
11	#10612832	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612755	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612737	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612351	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612345	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612319	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612318	C₂	1	1	yes	maximal, characteristic, complemented
18	#10611942	C₂	1	1	yes	maximal, characteristic, complemented
19	#10611930	C₂	1	1	yes	maximal, characteristic, complemented
20	#10611798	C₂	1	1	yes	maximal, characteristic, complemented
21	#10611784	C₂	1	1	yes	maximal, characteristic, complemented
22	#10611565	C₂	1	1	yes	maximal, characteristic, complemented
23	#10611555	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611515	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611509	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611479	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×D₅×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611394	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611388	C₂	1	1	yes	maximal, characteristic, complemented
30	#10611125	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611097	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#542	C₂²	1	1	yes	characteristic
33	C₅×#519	C₂²	1	1	yes	characteristic
34	#66151	C₂²	1	1	yes	characteristic
35	Q₈×C₂²⋊D₅	C₂²	1	1	yes	characteristic
36	C₂²×#689	C₂²	1	1	yes	characteristic
37	C₂×D₅×Q₁₆	C₂²	1	1	yes	characteristic
38	C₂×#4062	C₂²	1	1	yes	characteristic
39	#66064	C₂²	1	1	yes	characteristic
40	#66055	C₂²	1	1	yes	characteristic
41	#66040	—	2	1	no	—
42	#66035	—	2	1	no	—
43	#66014	—	2	1	no	—
44	#66011	C₂²	1	1	yes	characteristic
45	#66005	C₂²	1	1	yes	characteristic
46	#66003	—	2	1	no	—
47	#65995	—	2	1	no	—
48	#65984	—	2	1	no	—
49	#65975	—	2	1	no	—
50	#65973	C₂²	1	1	yes	characteristic
51	#65970	—	2	1	no	—
52	#65966	C₂²	1	1	yes	characteristic
53	#65948	C₂²	1	1	yes	characteristic
54	#65932	C₂²	1	1	yes	characteristic
55	#65917	—	2	1	no	—
56	#65917	C₂²	1	1	yes	characteristic
57	#65917	C₂²	1	1	yes	characteristic
58	#65914	—	2	1	no	—
59	#65914	C₂²	1	1	yes	characteristic
60	#65913	—	2	1	no	—
61	#65913	C₂²	1	1	yes	characteristic
62	#65910	C₂²	1	1	yes	characteristic
63	#65908	C₂²	1	1	yes	characteristic
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
66	#65904	C₂²	1	1	yes	characteristic
67	#65902	—	2	1	no	—
68	#65902	C₂²	1	1	yes	characteristic
69	#65891	C₂²	1	1	yes	characteristic
70	#65880	C₂²	1	1	yes	characteristic
71	#65868	—	2	1	no	—
72	#65868	C₂²	1	1	yes	characteristic
73	#65864	—	2	1	no	—
74	#65864	C₂²	1	1	yes	characteristic
75	#65863	—	2	1	no	—
76	#65863	C₂²	1	1	yes	characteristic
77	#65862	—	2	1	no	—
78	#65862	C₂²	1	1	yes	characteristic
79	#65850	C₂²	1	1	yes	characteristic
80	C₅×#485	C₂²	1	1	yes	characteristic
81	C₅×#482	C₂²	1	1	yes	characteristic
82	C₅×#477	C₂²	1	1	yes	characteristic
83	C₅×#475	C₂²	1	1	yes	characteristic
84	C₅×#464	C₂²	1	1	yes	characteristic
85	C₅×#464	C₂²	1	1	yes	characteristic
86	C₅×#451	C₂²	1	1	yes	characteristic
87	C₅×#448	C₂²	1	1	yes	characteristic
88	C₅×#441	C₂²	1	1	yes	characteristic
89	C₅×#440	C₂²	1	1	yes	characteristic
90	C₄×C₅×Q₁₆	C₂²	1	1	yes	characteristic
91	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
92	C₅×#433	C₂²	1	1	yes	characteristic
93	#65514	C₂²	1	1	yes	characteristic
94	#65478	C₂²	1	1	yes	characteristic
95	#65476	C₂²	1	1	yes	characteristic
96	#65475	C₂²	1	1	yes	characteristic
97	#65474	C₂²	1	1	yes	characteristic
98	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
99	#65471	C₂²	1	1	yes	characteristic
100	#65470	C₂²	1	1	yes	characteristic
101	#65462	C₂²	1	1	yes	characteristic
102	#65460	C₂²	1	1	yes	characteristic
103	#65459	C₂²	1	1	yes	characteristic
104	#65457	C₂²	1	1	yes	characteristic
105	#65455	C₂²	1	1	yes	characteristic
106	#65453	C₂²	1	1	yes	characteristic
107	#65451	C₂²	1	1	yes	characteristic
108	#65378	C₂²	1	1	yes	characteristic
109	#65367	C₂²	1	1	yes	characteristic
110	#65348	C₂²	1	1	yes	characteristic
111	#65344	C₂²	1	1	yes	characteristic
112	#65340	C₂²	1	1	yes	characteristic
113	#65338	C₂²	1	1	yes	characteristic
114	#65331	C₂²	1	1	yes	characteristic
115	#65327	C₂²	1	1	yes	characteristic
116	#65319	C₂²	1	1	yes	characteristic
117	#65319	C₂²	1	1	yes	characteristic
118	#65319	C₂²	1	1	yes	characteristic
119	#65319	C₂²	1	1	yes	characteristic
120	C₄×#689	C₂²	1	1	yes	characteristic
121	C₄×#689	C₂²	1	1	yes	characteristic
122	C₄×#689	C₂²	1	1	yes	characteristic
123	C₄×#689	C₂²	1	1	yes	characteristic
124	C₄×#689	C₂²	1	1	yes	characteristic
125	#65315	C₂²	1	1	yes	characteristic
126	#65307	C₂²	1	1	yes	characteristic
127	C₄×#686	C₂²	1	1	yes	characteristic
128	#65293	C₂²	1	1	yes	characteristic
129	#65287	C₂²	1	1	yes	characteristic
130	#65286	C₂²	1	1	yes	characteristic
131	#65180	C₂²	1	1	yes	characteristic
132	#65178	C₂²	1	1	yes	characteristic
133	#65173	C₂²	1	1	yes	characteristic
134	#65173	C₂²	1	1	yes	characteristic
135	D₅×#107	C₂²	1	1	yes	characteristic
136	D₅×#107	C₂²	1	1	yes	characteristic
137	#65166	C₂²	1	1	yes	characteristic
138	#65162	C₂²	1	1	yes	characteristic
139	#65157	C₂²	1	1	yes	characteristic
140	#65153	C₂²	1	1	yes	characteristic
141	#65152	C₂²	1	1	yes	characteristic
142	#65151	C₂²	1	1	yes	characteristic
143	#65147	C₂²	1	1	yes	characteristic
144	#65147	C₂²	1	1	yes	characteristic
145	#65146	C₂²	1	1	yes	characteristic
146	#65146	C₂²	1	1	yes	characteristic
147	#65140	C₂²	1	1	yes	characteristic
148	#65139	C₂²	1	1	yes	characteristic
149	#65134	C₂²	1	1	yes	characteristic
150	#65134	C₂²	1	1	yes	characteristic
151	#65125	C₂²	1	1	yes	characteristic
152	#65123	C₂²	1	1	yes	characteristic
153	#65119	C₂²	1	1	yes	characteristic
154	#65117	C₂²	1	1	yes	characteristic
155	#65107	C₂²	1	1	yes	characteristic
156	#65102	C₂²	1	1	yes	characteristic
157	#65102	C₂²	1	1	yes	characteristic
158	#65102	C₂²	1	1	yes	characteristic
159	#65099	C₂²	1	1	yes	characteristic
160	#65098	C₂²	1	1	yes	characteristic
161	#65098	C₂²	1	1	yes	characteristic
162	#65097	C₂²	1	1	yes	characteristic
163	#65095	C₂²	1	1	yes	characteristic
164	#65094	C₂²	1	1	yes	characteristic
165	#65092	C₂²	1	1	yes	characteristic
166	D₅×#103	C₂²	1	1	yes	characteristic
167	D₅×#103	C₂²	1	1	yes	characteristic
168	#65089	C₂²	1	1	yes	characteristic
169	#65088	C₂²	1	1	yes	characteristic
170	#65088	C₂²	1	1	yes	characteristic
171	#65087	C₂²	1	1	yes	characteristic
172	#65086	C₂²	1	1	yes	characteristic
173	#65086	C₂²	1	1	yes	characteristic
174	#65085	C₂²	1	1	yes	characteristic
175	#65082	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	#65072	C₂²	1	1	yes	characteristic
180	#65066	C₂²	1	1	yes	characteristic
181	#65064	C₂²	1	1	yes	characteristic
182	#65060	C₂²	1	1	yes	characteristic
183	#65057	C₂²	1	1	yes	characteristic
184	#65056	C₂²	1	1	yes	characteristic
185	#65055	C₂²	1	1	yes	characteristic
186	#65045	C₂²	1	1	yes	characteristic
187	#65028	C₂²	1	1	yes	characteristic
188	#65027	C₂²	1	1	yes	characteristic
189	#65026	C₂²	1	1	yes	characteristic
190	#65018	C₂²	1	1	yes	characteristic
191	#65017	C₂²	1	1	yes	characteristic
192	#65014	C₂²	1	1	yes	characteristic
193	#65014	C₂²	1	1	yes	characteristic
194	#65012	C₂²	1	1	yes	characteristic
195	#65005	C₂²	1	1	yes	characteristic
196	#64999	C₂²	1	1	yes	characteristic
197	#64997	C₂²	1	1	yes	characteristic
198	#64994	C₂²	1	1	yes	characteristic
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
200	C₄×#677	C₂²	1	1	yes	characteristic
201	#64979	C₂²	1	1	yes	characteristic
202	C₄×C₈×D₅	C₂²	1	1	yes	characteristic
203	#61473	—	5	1	no	maximal, Sylow
204	C₂²×C₅×Q₈	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×#711	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×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂×C₅×SD₁₆	C₂³	1	1	yes	characteristic
214	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
215	C₅×#126	—	2	1	no	—
216	C₅×#124	—	2	1	no	—
217	C₅×#124	C₂³	1	1	yes	characteristic
218	C₅×#123	—	2	1	no	—
219	C₅×C₂²⋊Q₈	—	2	1	no	—
220	C₅×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
221	C₅×#121	C₂³	1	1	yes	characteristic
222	C₄×C₅×Q₈	—	2	1	no	—
223	C₄×C₅×Q₈	—	2	1	no	—
224	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
225	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
226	C₄×C₅×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	C₂³	1	1	yes	characteristic
230	C₅×#117	—	2	1	no	—
231	C₅×#117	—	2	1	no	—
232	C₅×#117	C₂³	1	1	yes	characteristic
233	C₅×#117	C₂³	1	1	yes	characteristic
234	#4093	—	2	1	no	—
235	#4093	C₂³	1	1	yes	characteristic
236	#4092	—	2	1	no	—
237	#4092	—	2	1	no	—
238	#4092	—	2	1	no	—
239	#4092	—	2	1	no	—
240	#4092	C₂³	1	1	yes	characteristic
241	#4092	C₂³	1	1	yes	characteristic
242	#4092	C₂³	1	1	yes	characteristic
243	Q₈×Dic₅	—	2	1	no	—
244	Q₈×Dic₅	C₂³	1	1	yes	characteristic
245	Q₈×Dic₅	C₂³	1	1	yes	characteristic
246	Q₈×Dic₅	C₂³	1	1	yes	characteristic
247	#4090	—	2	1	no	—
248	#4090	—	2	1	no	—
249	#4090	C₂³	1	1	yes	characteristic
250	#4090	C₂³	1	1	yes	characteristic
251	C₂×#689	—	2	4	no	—
252	C₂×#689	C₂³	1	1	yes	characteristic
253	C₂×#689	C₂³	1	1	yes	characteristic
254	C₂×#689	C₂³	1	1	yes	characteristic
255	C₂×#689	C₂³	1	1	yes	characteristic
256	C₂×#689	C₂³	1	1	yes	characteristic
257	C₂×#688	C₂³	1	1	yes	characteristic
258	#4085	—	2	1	no	—
259	#4084	—	2	1	no	—
260	#4084	C₂³	1	1	yes	characteristic
261	#4082	C₂³	1	1	yes	characteristic
262	#4081	—	2	1	no	—
263	D₄×Dic₅	—	2	1	no	—
264	D₄×Dic₅	C₂³	1	1	yes	characteristic
265	C₂×#687	C₂³	1	1	yes	characteristic
266	C₂×#686	C₂³	1	1	yes	characteristic
267	#4076	—	2	1	no	—
268	#4076	C₂³	1	1	yes	characteristic
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₄×C₂²⋊D₅	—	2	1	no	—
273	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
274	C₄×C₂²⋊D₅	C₂³	1	1	yes	characteristic
275	#4072	—	2	1	no	—
276	#4072	C₂³	1	1	yes	characteristic
277	#4070	—	2	1	no	—
278	#4070	C₂³	1	1	yes	characteristic
279	C₂×#683	—	2	1	no	—
280	C₂×#681	C₂³	1	1	yes	characteristic
281	C₂²×#168	C₂³	1	1	yes	characteristic
282	D₅×Q₁₆	—	2	4	no	—
283	#4062	—	2	4	no	—
284	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
285	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
286	C₂×#677	C₂³	1	1	yes	characteristic
287	C₂×#677	C₂³	1	1	yes	characteristic
288	C₂×#676	C₂³	1	1	yes	characteristic
289	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
290	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
291	C₂×C₈×D₅	C₂³	1	1	yes	characteristic
292	#4044	—	2	1	no	—
293	#4044	—	2	1	no	—
294	#4044	—	2	1	no	—
295	#4044	—	2	1	no	—
296	#4044	—	2	1	no	—
297	#4044	D₄	1	1	yes	characteristic
298	#4043	—	2	1	no	—
299	#4043	C₂³	1	1	yes	characteristic
300	#4043	C₂³	1	1	yes	characteristic
301	#4043	C₂³	1	1	yes	characteristic
302	#4042	—	2	1	no	—
303	#4042	—	2	1	no	—
304	#4042	—	2	1	no	—
305	#4042	—	2	1	no	—
306	#4042	—	2	1	no	—
307	#4042	D₄	1	1	yes	characteristic
308	#4041	—	2	1	no	—
309	#4041	C₂³	1	1	yes	characteristic
310	#4040	—	2	1	no	—
311	#4040	D₄	1	1	yes	characteristic
312	#4039	—	2	1	no	—
313	#4039	—	2	1	no	—
314	#4039	C₂³	1	1	yes	characteristic
315	#4038	—	2	1	no	—
316	D₅×C₄⋊C₄	—	2	1	no	—
317	D₅×C₄⋊C₄	—	2	1	no	—
318	D₅×C₄⋊C₄	—	2	1	no	—
319	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
320	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
321	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
322	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
323	#4036	—	2	1	no	—
324	#4036	—	2	1	no	—
325	#4036	—	2	1	no	—
326	#4036	C₂³	1	1	yes	characteristic
327	#4036	C₂³	1	1	yes	characteristic
328	#4036	C₂³	1	1	yes	characteristic
329	#4036	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
336	#4034	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	—	2	1	no	—
341	#4033	C₂³	1	1	yes	characteristic
342	#4033	C₂³	1	1	yes	characteristic
343	#4033	C₂³	1	1	yes	characteristic
344	#4031	—	2	1	no	—
345	#4031	—	2	1	no	—
346	#4031	—	2	1	no	—
347	#4031	D₄	1	1	yes	characteristic
348	#4030	—	2	1	no	—
349	#4030	—	2	1	no	—
350	#4030	D₄	1	1	yes	characteristic
351	#4029	—	2	1	no	—
352	#4029	—	2	1	no	—
353	#4029	—	2	1	no	—
354	#4029	—	2	1	no	—
355	#4029	—	2	1	no	—
356	#4029	D₄	1	1	yes	characteristic
357	#4027	—	2	1	no	—
358	#4027	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4025	—	2	1	no	—
362	#4025	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4025	—	2	1	no	—
366	#4025	—	2	1	no	—
367	#4025	D₄	1	1	yes	characteristic
368	#4024	—	2	1	no	—
369	#4024	—	2	1	no	—
370	#4024	—	2	1	no	—
371	#4024	—	2	1	no	—
372	#4023	—	2	1	no	—
373	#4023	—	2	1	no	—
374	#4023	—	2	1	no	—
375	#4023	—	2	1	no	—
376	#4022	—	2	1	no	—
377	#4022	—	2	1	no	—
378	#4022	—	2	1	no	—
379	#4022	—	2	1	no	—
380	#4021	—	2	1	no	—
381	#4021	C₂³	1	1	yes	characteristic
382	C₄×D₂₀	—	2	1	no	—
383	C₄×D₂₀	—	2	1	no	—
384	C₄×D₂₀	—	2	1	no	—
385	C₄×D₂₀	—	2	1	no	—
386	C₄×D₂₀	—	2	1	no	—
387	C₄×D₂₀	C₂³	1	1	yes	characteristic
388	C₄×D₂₀	C₂³	1	1	yes	characteristic
389	#4018	—	2	1	no	—
390	#4018	—	2	1	no	—
391	#4018	—	2	1	no	—
392	#4018	—	2	1	no	—
393	#4018	C₂³	1	1	yes	characteristic
394	C₄²×D₅	—	2	1	no	—
395	C₄²×D₅	—	2	1	no	—
396	C₄²×D₅	C₂³	1	1	yes	characteristic
397	#4016	—	2	1	no	—
398	#4016	—	2	1	no	—
399	#4016	—	2	1	no	—
400	#4016	—	2	1	no	—
401	#4015	—	2	1	no	—
402	#4015	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	—	2	1	no	—
404	C₄×Dic₁₀	—	2	1	no	—
405	C₄×Dic₁₀	—	2	1	no	—
406	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
407	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
408	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
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×#107	C₂³	1	1	yes	characteristic
414	C₅×#106	C₂³	1	1	yes	characteristic
415	C₅×#106	C₂³	1	1	yes	characteristic
416	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
417	C₅×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
425	C₅×#102	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	C₄×C₅×C₈	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	#3967	C₂³	1	1	yes	characteristic
436	#3964	C₂³	1	1	yes	characteristic
437	#3964	C₂³	1	1	yes	characteristic
438	#3953	C₂³	1	1	yes	characteristic
439	#3953	C₂³	1	1	yes	characteristic
440	#3952	C₂³	1	1	yes	characteristic
441	#3952	C₂³	1	1	yes	characteristic
442	#3952	C₂³	1	1	yes	characteristic
443	#3952	C₂³	1	1	yes	characteristic
444	#3950	C₂³	1	1	yes	characteristic
445	#3950	C₂³	1	1	yes	characteristic
446	#3949	C₂³	1	1	yes	characteristic
447	#3949	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	#3948	C₂³	1	1	yes	characteristic
453	#3948	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	#3942	C₂³	1	1	yes	characteristic
463	#3942	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	#3941	C₂³	1	1	yes	characteristic
469	#3941	C₂³	1	1	yes	characteristic
470	#3940	C₂³	1	1	yes	characteristic
471	#3940	C₂³	1	1	yes	characteristic
472	#3939	C₂³	1	1	yes	characteristic
473	#3939	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	#3935	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	C₄×#168	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3516	—	5	1	no	—
483	#3516	—	5	1	no	—
484	#3393	—	5	1	no	—
485	#3383	—	5	1	no	—
486	#3377	—	5	1	no	—
487	#3377	—	5	1	no	—
488	#3339	—	5	1	no	—
489	#3338	—	5	1	no	—
490	#3336	—	5	1	no	—
491	#3327	—	5	1	no	—
492	#3327	—	5	1	no	—
493	#3320	—	5	1	no	—
494	#3320	—	5	1	no	—
495	#3316	—	5	1	no	—
496	#3316	—	5	1	no	—
497	D₄×Q₁₆	—	5	1	no	—
498	#3285	—	5	1	no	—
499	#3285	—	5	1	no	—
500	#3177	—	5	1	no	—
501	#3175	—	5	1	no	—
502	#3168	—	5	1	no	—
503	#3121	—	5	1	no	—
504	#3121	D₅	1	1	yes	characteristic, complemented
505	#3120	—	5	1	no	—
506	#3120	—	5	1	no	—
507	#3117	—	5	1	no	—
508	#3117	—	5	1	no	—
509	#2966	—	5	1	no	—
510	#2951	—	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	—	4	1	no	—
517	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
518	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
519	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	—	2	1	no	—
521	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂²×C₄×C₅	—	2	1	no	—
524	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₅	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₅	—	2	1	no	—
531	C₂²×Dic₅	—	2	1	no	—
532	C₂²×Dic₅	—	2	1	no	—
533	#713	—	2	2	no	—
534	#713	—	4	1	no	—
535	Q₈×D₅	—	2	2	no	—
536	Q₈×D₅	—	2	2	no	—
537	Q₈×D₅	—	4	1	no	—
538	Q₈×D₅	—	4	1	no	—
539	#711	—	2	2	no	—
540	#711	—	4	1	no	—
541	C₂×D₂₀	—	2	1	no	—
542	C₂×D₂₀	—	2	1	no	—
543	C₂×D₂₀	C₂×D₄	1	1	yes	characteristic
544	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
545	C₂×C₄×D₅	—	2	1	no	—
546	C₂×C₄×D₅	—	2	1	no	—
547	C₂×C₄×D₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
558	C₂×Dic₁₀	—	2	2	no	—
559	C₂×Dic₁₀	—	2	1	no	—
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	4	1	no	—
564	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
568	C₅×Q₁₆	—	2	2	no	—
569	C₅×Q₁₆	—	4	1	no	—
570	C₅×SD₁₆	—	2	2	no	—
571	C₅×SD₁₆	—	4	1	no	—
572	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
573	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
574	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
575	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
576	C₅×C₄⋊C₄	—	2	1	no	—
577	C₅×C₄⋊C₄	—	2	1	no	—
578	C₅×C₄⋊C₄	—	2	1	no	—
579	C₅×C₄⋊C₄	—	2	1	no	—
580	C₅×C₄⋊C₄	—	2	1	no	—
581	C₅×C₄⋊C₄	—	2	1	no	—
582	C₅×C₄⋊C₄	—	2	1	no	—
583	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
584	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
585	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
586	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
589	C₅×C₂²⋊C₄	—	2	1	no	—
590	C₅×C₂²⋊C₄	—	2	1	no	—
591	C₅×C₂²⋊C₄	—	2	1	no	—
592	C₅×C₂²⋊C₄	—	2	1	no	—
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
596	C₅×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
597	C₄²×C₅	—	2	1	no	—
598	C₄²×C₅	—	2	1	no	—
599	C₄²×C₅	—	2	1	no	—
600	C₄²×C₅	—	2	1	no	—
601	C₄²×C₅	—	2	1	no	—
602	C₄²×C₅	—	2	1	no	—
603	C₄²×C₅	C₂⁴	1	1	yes	characteristic
604	C₄²×C₅	C₂⁴	1	1	yes	characteristic
605	C₂²⋊Dic₅	—	2	1	no	—
606	C₂²⋊Dic₅	—	2	1	no	—
607	C₂²⋊Dic₅	—	2	1	no	—
608	C₂²⋊Dic₅	—	2	1	no	—
609	C₂²⋊Dic₅	—	2	1	no	—
610	C₂²⋊Dic₅	—	2	1	no	—
611	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
612	C₂²⋊Dic₅	C₂×D₄	1	1	yes	characteristic
613	#689	—	2	2	no	—
614	#689	—	2	2	no	—
615	#689	—	2	2	no	—
616	#689	—	2	2	no	—
617	#689	#41	1	4	yes	—
618	#688	—	4	1	no	—
619	#687	—	4	1	no	—
620	#686	—	2	2	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	2	1	no	—
625	#685	—	2	1	no	—
626	#685	—	2	1	no	—
627	#685	—	2	1	no	—
628	#685	—	2	1	no	—
629	#685	—	2	1	no	—
630	#685	—	2	1	no	—
631	#685	—	2	1	no	—
632	#685	—	2	1	no	—
633	#685	—	2	1	no	—
634	#685	—	2	1	no	—
635	#685	C₂×D₄	1	1	yes	characteristic
636	#685	C₂×D₄	1	1	yes	characteristic
637	#685	C₂×D₄	1	1	yes	characteristic
638	#685	C₂×D₄	1	1	yes	characteristic
639	#685	C₂×D₄	1	1	yes	characteristic
640	#685	C₂×D₄	1	1	yes	characteristic
641	C₄⋊Dic₅	—	2	1	no	—
642	C₄⋊Dic₅	—	2	1	no	—
643	C₄⋊Dic₅	—	2	1	no	—
644	C₄⋊Dic₅	—	2	1	no	—
645	C₄⋊Dic₅	—	2	1	no	—
646	C₄⋊Dic₅	—	2	1	no	—
647	C₄⋊Dic₅	—	2	1	no	—
648	C₄⋊Dic₅	—	2	1	no	—
649	C₄⋊Dic₅	—	2	1	no	—
650	C₄⋊Dic₅	—	2	1	no	—
651	C₄⋊Dic₅	—	2	1	no	—
652	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
653	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
654	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
655	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
656	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
657	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
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	—	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	C₂×D₄	1	1	yes	characteristic
683	#683	C₂×D₄	1	1	yes	characteristic
684	#683	C₂×D₄	1	1	yes	characteristic
685	#683	C₂×D₄	1	1	yes	characteristic
686	#683	C₂×D₄	1	1	yes	characteristic
687	#683	C₂×D₄	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
701	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
702	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
703	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
704	#681	—	4	1	no	—
705	C₂×#168	—	2	2	no	—
706	C₂×#168	C₂⁴	1	1	yes	characteristic
707	C₂×#168	C₂⁴	1	1	yes	characteristic
708	C₂×#168	C₂⁴	1	1	yes	characteristic
709	C₂×#168	C₂⁴	1	1	yes	characteristic
710	Dic₂₀	—	2	2	no	—
711	Dic₂₀	—	4	1	no	—
712	#677	—	2	2	no	—
713	#677	—	4	1	no	—
714	#676	—	4	1	no	—
715	C₈×D₅	—	2	2	no	—
716	C₈×D₅	—	2	2	no	—
717	C₈×D₅	—	4	1	no	—
718	C₂×#135	—	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	#556	—	5	1	no	—
724	#556	—	5	1	no	—
725	#556	—	10	1	no	—
726	#556	—	10	1	no	—
727	#554	—	5	1	no	—
728	#554	—	5	1	no	—
729	#554	—	10	1	no	—
730	#554	—	10	1	no	—
731	#553	—	5	1	no	—
732	#553	—	5	1	no	—
733	#553	—	10	1	no	—
734	#553	—	10	1	no	—
735	#552	—	5	1	no	—
736	#552	—	5	1	no	—
737	#552	—	10	1	no	—
738	#552	—	10	1	no	—
739	D₄×Q₈	—	5	1	no	—
740	D₄×Q₈	—	5	1	no	—
741	#548	—	5	1	no	—
742	#548	—	5	1	no	—
743	#548	—	5	1	no	—
744	#548	—	5	1	no	—
745	#542	—	5	1	no	—
746	#542	—	10	1	no	—
747	#542	—	10	1	no	—
748	#542	C₂×D₅	1	1	yes	characteristic
749	#541	—	5	1	no	—
750	#541	—	5	1	no	—
751	#541	—	10	1	no	—
752	#541	—	10	1	no	—
753	#529	—	5	1	no	—
754	#529	—	5	1	no	—
755	#529	—	5	1	no	—
756	#529	—	10	1	no	—
757	#529	—	10	1	no	—
758	#529	—	10	1	no	—
759	#529	—	10	1	no	—
760	#520	—	5	1	no	—
761	#520	—	5	1	no	—
762	#519	—	5	1	no	—
763	#519	C₂×D₅	1	1	yes	characteristic
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	#495	—	5	1	no	—
770	#495	—	5	1	no	—
771	#494	—	5	1	no	—
772	#491	—	5	1	no	—
773	#491	—	5	1	no	—
774	#489	—	5	1	no	—
775	#489	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#485	—	5	1	no	—
779	#485	C₂×D₅	1	1	yes	characteristic
780	#484	—	5	1	no	—
781	#484	—	5	1	no	—
782	#484	—	5	1	no	—
783	#484	—	5	1	no	—
784	#483	—	5	1	no	—
785	#483	—	5	1	no	—
786	#482	—	5	1	no	—
787	#482	C₂×D₅	1	1	yes	characteristic
788	#481	—	5	1	no	—
789	#481	—	5	1	no	—
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	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#477	—	5	1	no	—
799	#477	C₂×D₅	1	1	yes	characteristic
800	#475	—	5	1	no	—
801	#475	C₂×D₅	1	1	yes	characteristic
802	#470	—	5	1	no	—
803	#470	—	5	1	no	—
804	#468	—	5	1	no	—
805	#468	—	5	1	no	—
806	#467	—	5	1	no	—
807	#467	—	5	1	no	—
808	#467	—	5	1	no	—
809	#467	—	5	1	no	—
810	#466	—	5	1	no	—
811	#466	—	5	1	no	—
812	#465	—	5	1	no	—
813	#465	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	—	5	1	no	—
818	#464	—	5	1	no	—
819	#464	—	5	1	no	—
820	#464	C₂×D₅	1	1	yes	characteristic
821	#464	C₂×D₅	1	1	yes	characteristic
822	#462	—	5	1	no	—
823	#462	—	5	1	no	—
824	#461	—	5	1	no	—
825	#461	—	5	1	no	—
826	#452	—	5	1	no	—
827	#452	—	5	1	no	—
828	#452	—	5	1	no	—
829	#452	—	5	1	no	—
830	#451	—	5	1	no	—
831	#451	—	5	1	no	—
832	#451	—	5	1	no	—
833	#451	C₂×D₅	1	1	yes	characteristic
834	#448	—	5	1	no	—
835	#448	—	5	1	no	—
836	#448	—	5	1	no	—
837	#448	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	C₂×D₅	1	1	yes	characteristic
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	—	5	1	no	—
851	#440	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	C₂×D₅	1	1	yes	characteristic
864	C₄×SD₁₆	—	5	1	no	—
865	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
866	C₄×D₈	—	5	1	no	—
867	C₄×D₈	—	5	1	no	—
868	#436	—	5	1	no	—
869	#435	—	5	1	no	—
870	#435	—	5	1	no	—
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	C₂×D₅	1	1	yes	characteristic
876	#432	—	5	1	no	—
877	#427	—	5	1	no	—
878	C₂×#107	—	5	1	no	—
879	C₂×#107	—	5	1	no	—
880	#419	—	5	1	no	—
881	#419	—	5	1	no	—
882	#417	—	5	1	no	—
883	#417	—	5	1	no	—
884	C₂×#103	—	5	1	no	—
885	C₂×#103	—	5	1	no	—
886	#405	—	5	1	no	—
887	#405	—	5	1	no	—
888	C₂×C₄×C₈	—	5	1	no	—
889	C₂³×C₅	—	2	1	no	—
890	C₂³×C₅	C₂²×D₄	1	1	yes	characteristic
891	C₂²×D₅	—	2	1	no	—
892	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
893	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
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	—	8	1	no	—
901	C₅×Q₈	C₂×#41	1	2	yes	—
902	C₅×D₄	—	2	1	no	—
903	C₅×D₄	—	2	1	no	—
904	C₅×D₄	—	8	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	—	4	2	no	—
915	C₂×C₄×C₅	—	8	1	no	—
916	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
917	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
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	C₂⁵	1	1	yes	characteristic
922	C₂²⋊D₅	—	2	2	no	—
923	C₂²⋊D₅	—	4	1	no	—
924	C₂²⋊D₅	—	4	2	no	—
925	C₂²⋊D₅	—	4	2	no	—
926	C₂²⋊D₅	—	8	1	no	—
927	C₂×Dic₅	—	2	1	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	—	4	2	no	—
935	C₂×Dic₅	—	4	2	no	—
936	C₂×Dic₅	—	8	1	no	—
937	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
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	D₂₀	—	2	2	no	—
944	D₂₀	—	2	1	no	—
945	D₂₀	—	2	1	no	—
946	D₂₀	—	4	2	no	—
947	D₂₀	—	4	2	no	—
948	C₄×D₅	—	2	2	no	—
949	C₄×D₅	—	2	1	no	—
950	C₄×D₅	—	2	1	no	—
951	C₄×D₅	—	2	1	no	—
952	C₄×D₅	—	2	1	no	—
953	C₄×D₅	—	4	1	no	—
954	C₄×D₅	—	4	2	no	—
955	C₄×D₅	—	4	2	no	—
956	C₄×D₅	—	4	2	no	—
957	C₄×D₅	—	8	1	no	—
958	C₄×D₅	—	8	1	no	—
959	C₄×D₅	—	8	1	no	—
960	C₄×D₅	—	8	1	no	—
961	C₄×D₅	—	8	1	no	—
962	C₄×D₅	—	8	1	no	—
963	Dic₁₀	—	2	1	no	—
964	Dic₁₀	—	2	1	no	—
965	Dic₁₀	—	2	1	no	—
966	Dic₁₀	—	2	1	no	—
967	Dic₁₀	—	2	1	no	—
968	Dic₁₀	—	4	1	no	—
969	Dic₁₀	—	4	2	no	—
970	Dic₁₀	—	4	2	no	—
971	Dic₁₀	—	4	2	no	—
972	Dic₁₀	—	8	1	no	—
973	Dic₁₀	C₂×#41	1	2	yes	—
974	C₅×C₈	—	2	1	no	—
975	C₅×C₈	—	2	1	no	—
976	C₅×C₈	—	2	1	no	—
977	C₅×C₈	—	2	1	no	—
978	#168	—	2	1	no	—
979	#168	—	2	1	no	—
980	#168	—	2	1	no	—
981	#168	C₂×#41	1	2	yes	—
982	C₂×#41	—	5	1	no	—
983	C₂×#41	—	5	1	no	—
984	C₂²×Q₈	—	5	1	no	—
985	C₂²×Q₈	—	5	1	no	—
986	C₂²×Q₈	—	5	1	no	—
987	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
988	#135	—	10	4	no	—
989	C₂×Q₁₆	—	5	1	no	—
990	C₂×Q₁₆	—	5	1	no	—
991	C₂×Q₁₆	—	5	1	no	—
992	C₂×Q₁₆	—	5	1	no	—
993	C₂×Q₁₆	—	5	1	no	—
994	C₂×Q₁₆	—	5	1	no	—
995	C₂×Q₁₆	—	5	1	no	—
996	C₂×Q₁₆	—	10	4	no	—
997	C₂×Q₁₆	—	10	4	no	—
998	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
999	C₂×Q₁₆	C₂²×D₅	1	1	yes	characteristic
1000	C₂×SD₁₆	—	5	1	no	—
1001	C₂×SD₁₆	—	5	1	no	—
1002	C₂×SD₁₆	—	5	1	no	—
1003	C₂×SD₁₆	—	5	1	no	—
1004	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1005	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
1006	C₂×D₈	—	5	1	no	—
1007	C₂×M₁₆	—	5	1	no	—
1008	C₂×M₁₆	—	5	1	no	—
1009	C₂²×C₈	—	5	1	no	—
1010	C₂²×C₈	—	5	1	no	—
1011	C₂²×C₈	—	5	1	no	—
1012	C₂²×C₈	—	5	1	no	—
1013	C₄⋊Q₈	—	5	1	no	—
1014	C₄⋊Q₈	—	5	1	no	—
1015	C₄⋊Q₈	—	5	1	no	—
1016	C₄⋊Q₈	—	10	1	no	—
1017	C₄⋊Q₈	—	10	1	no	—
1018	C₄⋊Q₈	—	10	1	no	—
1019	C₄⋊Q₈	—	10	1	no	—
1020	C₄⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1021	#126	—	2	1	no	—
1022	#126	—	5	1	no	—
1023	#126	—	5	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	#126	—	10	1	no	—
1038	#126	—	10	1	no	—
1039	#125	—	5	1	no	—
1040	#125	—	5	1	no	—
1041	#125	—	5	1	no	—
1042	#125	—	5	1	no	—
1043	#125	—	5	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	#124	—	2	1	no	—
1057	#124	—	5	1	no	—
1058	#124	—	5	1	no	—
1059	#124	—	5	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	10	1	no	—
1062	#124	—	10	1	no	—
1063	#124	—	10	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	C₂²×D₅	1	1	yes	characteristic
1067	#123	—	2	1	no	—
1068	#123	—	5	1	no	—
1069	#123	—	5	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	#123	—	10	1	no	—
1075	#123	—	10	1	no	—
1076	#123	—	10	1	no	—
1077	C₂²⋊Q₈	—	2	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	—	10	1	no	—
1099	C₂²⋊Q₈	—	10	1	no	—
1100	C₂²⋊Q₈	—	10	1	no	—
1101	C₂²⋊Q₈	C₂²×D₅	1	1	yes	characteristic
1102	#121	—	5	1	no	—
1103	#121	—	5	1	no	—
1104	#121	—	5	1	no	—
1105	#121	—	5	1	no	—
1106	#121	—	10	1	no	—
1107	#121	—	10	1	no	—
1108	#121	—	10	1	no	—
1109	#121	—	10	1	no	—
1110	#121	—	10	1	no	—
1111	#121	—	10	1	no	—
1112	#121	C₂²×D₅	1	1	yes	characteristic
1113	C₄×Q₈	—	2	1	no	—
1114	C₄×Q₈	—	2	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	—	5	1	no	—
1123	C₄×Q₈	—	5	1	no	—
1124	C₄×Q₈	—	5	1	no	—
1125	C₄×Q₈	—	5	1	no	—
1126	C₄×Q₈	—	5	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	C₂²×D₅	1	1	yes	characteristic
1136	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1137	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1138	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1139	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1140	C₄×D₄	—	5	1	no	—
1141	C₄×D₄	—	5	1	no	—
1142	C₄×D₄	—	5	1	no	—
1143	C₄×D₄	—	5	1	no	—
1144	C₄×D₄	—	5	1	no	—
1145	C₄×D₄	—	5	1	no	—
1146	C₄×D₄	—	10	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	—	10	1	no	—
1153	C₄×D₄	—	10	1	no	—
1154	C₄×D₄	—	10	1	no	—
1155	C₄×D₄	—	10	1	no	—
1156	C₄×D₄	—	10	1	no	—
1157	C₄×D₄	—	10	1	no	—
1158	C₄×D₄	—	10	1	no	—
1159	C₄×D₄	—	10	1	no	—
1160	C₄×D₄	—	10	1	no	—
1161	C₄×D₄	—	10	1	no	—
1162	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1163	#117	—	2	1	no	—
1164	#117	—	2	1	no	—
1165	#117	—	5	1	no	—
1166	#117	—	5	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	—	10	1	no	—
1173	#117	—	10	1	no	—
1174	#117	—	10	1	no	—
1175	#117	—	10	1	no	—
1176	#117	—	10	1	no	—
1177	#117	C₂²×D₅	1	1	yes	characteristic
1178	#117	C₂²×D₅	1	1	yes	characteristic
1179	C₂×C₄⋊C₄	—	5	1	no	—
1180	C₂×C₄⋊C₄	—	5	1	no	—
1181	C₂×C₄⋊C₄	—	5	1	no	—
1182	C₂×C₄⋊C₄	—	5	1	no	—
1183	C₂×C₄⋊C₄	—	10	1	no	—
1184	C₂×C₄⋊C₄	—	10	1	no	—
1185	C₂×C₄⋊C₄	—	10	1	no	—
1186	C₂×C₄⋊C₄	—	10	1	no	—
1187	C₂×C₄²	—	5	1	no	—
1188	C₂×C₄²	—	10	1	no	—
1189	C₂×C₄²	—	10	1	no	—
1190	#107	—	5	1	no	—
1191	#107	—	5	1	no	—
1192	#107	—	5	1	no	—
1193	#107	—	5	1	no	—
1194	#107	—	5	1	no	—
1195	#107	—	5	1	no	—
1196	#107	—	5	1	no	—
1197	#107	—	5	1	no	—
1198	#107	C₂²×D₅	1	1	yes	characteristic
1199	#107	C₂²×D₅	1	1	yes	characteristic
1200	#106	—	5	1	no	—
1201	#106	—	5	1	no	—
1202	#106	—	5	1	no	—
1203	#106	—	5	1	no	—
1204	#106	C₂²×D₅	1	1	yes	characteristic
1205	#106	C₂²×D₅	1	1	yes	characteristic
1206	C₄⋊C₈	—	5	1	no	—
1207	C₄⋊C₈	—	5	1	no	—
1208	C₄⋊C₈	—	5	1	no	—
1209	C₄⋊C₈	—	5	1	no	—
1210	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1211	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	—	5	1	no	—
1225	#103	—	5	1	no	—
1226	#103	—	5	1	no	—
1227	#103	—	5	1	no	—
1228	#103	—	5	1	no	—
1229	#103	—	5	1	no	—
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	#103	C₂²×D₅	1	1	yes	characteristic
1235	#103	C₂²×D₅	1	1	yes	characteristic
1236	#102	—	5	1	no	—
1237	#102	—	5	1	no	—
1238	#102	—	5	1	no	—
1239	#102	—	5	1	no	—
1240	#102	—	5	1	no	—
1241	#102	—	5	1	no	—
1242	#102	C₂²×D₅	1	1	yes	characteristic
1243	#102	C₂²×D₅	1	1	yes	characteristic
1244	C₂²⋊C₈	—	5	1	no	—
1245	C₂²⋊C₈	—	5	1	no	—
1246	C₂²⋊C₈	—	5	1	no	—
1247	C₂²⋊C₈	—	5	1	no	—
1248	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1249	C₂²⋊C₈	C₂²×D₅	1	1	yes	characteristic
1250	#97	—	5	1	no	—
1251	#97	—	5	1	no	—
1252	#97	—	5	1	no	—
1253	#97	C₂²×D₅	1	1	yes	characteristic
1254	C₄×C₈	—	5	1	no	—
1255	C₄×C₈	—	5	1	no	—
1256	C₄×C₈	—	5	1	no	—
1257	C₄×C₈	—	5	1	no	—
1258	C₄×C₈	—	5	1	no	—
1259	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1260	C₂²×C₅	—	2	1	no	—
1261	C₂²×C₅	—	2	1	no	—
1262	C₂²×C₅	—	2	1	no	—
1263	C₂²×C₅	—	4	1	no	—
1264	C₂²×C₅	—	4	1	no	—
1265	C₂²×C₅	—	4	1	no	—
1266	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1267	C₂×D₅	—	2	1	no	—
1268	C₂×D₅	—	2	1	no	—
1269	C₂×D₅	—	2	1	no	—
1270	C₂×D₅	—	2	1	no	—
1271	C₂×D₅	—	2	1	no	—
1272	C₂×D₅	—	4	1	no	—
1273	C₂×D₅	—	4	1	no	—
1274	C₂×D₅	—	4	1	no	—
1275	C₂×D₅	#578	1	2	yes	—
1276	C₄×C₅	—	2	1	no	—
1277	C₄×C₅	—	2	1	no	—
1278	C₄×C₅	—	2	1	no	—
1279	C₄×C₅	—	2	2	no	—
1280	C₄×C₅	—	2	1	no	—
1281	C₄×C₅	—	2	1	no	—
1282	C₄×C₅	—	4	1	no	—
1283	C₄×C₅	—	4	1	no	—
1284	C₄×C₅	—	4	1	no	—
1285	C₄×C₅	—	4	1	no	—
1286	C₄×C₅	—	4	1	no	—
1287	C₄×C₅	—	4	1	no	—
1288	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1289	C₄×C₅	#585	1	1	yes	characteristic
1290	Dic₅	—	2	1	no	—
1291	Dic₅	—	2	1	no	—
1292	Dic₅	—	2	2	no	—
1293	Dic₅	—	2	1	no	—
1294	Dic₅	—	2	1	no	—
1295	Dic₅	—	2	1	no	—
1296	Dic₅	—	2	1	no	—
1297	Dic₅	—	4	1	no	—
1298	Dic₅	—	4	1	no	—
1299	Dic₅	—	4	1	no	—
1300	Dic₅	—	4	1	no	—
1301	Dic₅	—	4	1	no	—
1302	Dic₅	—	4	1	no	—
1303	#41	—	10	2	no	—
1304	#41	—	10	2	no	—
1305	#41	—	20	1	no	—
1306	#41	—	20	1	no	—
1307	C₂×Q₈	—	2	1	no	—
1308	C₂×Q₈	—	2	1	no	—
1309	C₂×Q₈	—	2	2	no	—
1310	C₂×Q₈	—	4	1	no	—
1311	C₂×Q₈	—	5	1	no	—
1312	C₂×Q₈	—	5	1	no	—
1313	C₂×Q₈	—	5	1	no	—
1314	C₂×Q₈	—	5	1	no	—
1315	C₂×Q₈	—	10	1	no	—
1316	C₂×Q₈	—	10	1	no	—
1317	C₂×Q₈	—	10	2	no	—
1318	C₂×Q₈	—	10	1	no	—
1319	C₂×Q₈	—	10	1	no	—
1320	C₂×Q₈	—	10	2	no	—
1321	C₂×Q₈	—	10	2	no	—
1322	C₂×Q₈	—	20	1	no	—
1323	C₂×Q₈	—	20	1	no	—
1324	C₂×Q₈	—	20	1	no	—
1325	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1326	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1327	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1328	C₂×D₄	—	2	1	no	—
1329	C₂×D₄	—	5	1	no	—
1330	C₂×D₄	—	5	1	no	—
1331	C₂×D₄	—	5	1	no	—
1332	C₂×D₄	—	5	1	no	—
1333	C₂×D₄	—	10	1	no	—
1334	C₂×D₄	—	10	1	no	—
1335	C₂×D₄	—	10	1	no	—
1336	C₂×D₄	—	10	1	no	—
1337	C₂×D₄	—	10	1	no	—
1338	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1339	C₂²×C₄	—	2	1	no	—
1340	C₂²×C₄	—	2	1	no	—
1341	C₂²×C₄	—	5	1	no	—
1342	C₂²×C₄	—	5	1	no	—
1343	C₂²×C₄	—	5	1	no	—
1344	C₂²×C₄	—	5	1	no	—
1345	C₂²×C₄	—	10	1	no	—
1346	C₂²×C₄	—	10	1	no	—
1347	C₂²×C₄	—	10	1	no	—
1348	C₂²×C₄	—	10	1	no	—
1349	C₂²×C₄	—	10	1	no	—
1350	C₂²×C₄	—	10	1	no	—
1351	C₂²×C₄	—	10	1	no	—
1352	C₂²×C₄	—	10	1	no	—
1353	C₂²×C₄	—	10	1	no	—
1354	C₂²×C₄	—	10	1	no	—
1355	C₂²×C₄	—	10	1	no	—
1356	C₂²×C₄	—	10	1	no	—
1357	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1358	Q₁₆	—	2	2	no	—
1359	Q₁₆	—	4	1	no	—
1360	Q₁₆	—	5	4	no	—
1361	Q₁₆	—	10	2	no	—
1362	Q₁₆	—	10	2	no	—
1363	Q₁₆	—	10	2	no	—
1364	Q₁₆	—	10	2	no	—
1365	Q₁₆	—	10	2	no	—
1366	Q₁₆	—	20	1	no	—
1367	SD₁₆	—	2	2	no	—
1368	SD₁₆	—	4	1	no	—
1369	SD₁₆	—	10	2	no	—
1370	SD₁₆	—	20	1	no	—
1371	SD₁₆	—	20	1	no	—
1372	SD₁₆	—	20	1	no	—
1373	D₈	—	10	2	no	—
1374	M₁₆	—	20	1	no	—
1375	M₁₆	—	20	1	no	—
1376	C₂×C₈	—	5	1	no	—
1377	C₂×C₈	—	5	1	no	—
1378	C₂×C₈	—	5	1	no	—
1379	C₂×C₈	—	5	1	no	—
1380	C₂×C₈	—	10	2	no	—
1381	C₂×C₈	—	10	2	no	—
1382	C₂×C₈	—	10	2	no	—
1383	C₂×C₈	—	20	1	no	—
1384	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1385	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1386	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1387	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	—	2	1	no	—
1393	C₄⋊C₄	—	2	1	no	—
1394	C₄⋊C₄	—	2	1	no	—
1395	C₄⋊C₄	—	5	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	1	no	—
1398	C₄⋊C₄	—	5	1	no	—
1399	C₄⋊C₄	—	5	1	no	—
1400	C₄⋊C₄	—	5	1	no	—
1401	C₄⋊C₄	—	5	1	no	—
1402	C₄⋊C₄	—	5	1	no	—
1403	C₄⋊C₄	—	5	1	no	—
1404	C₄⋊C₄	—	5	1	no	—
1405	C₄⋊C₄	—	5	1	no	—
1406	C₄⋊C₄	—	5	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	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	—	10	1	no	—
1437	C₄⋊C₄	—	10	1	no	—
1438	C₄⋊C₄	—	10	1	no	—
1439	C₄⋊C₄	—	10	1	no	—
1440	C₄⋊C₄	—	10	1	no	—
1441	C₄⋊C₄	—	10	1	no	—
1442	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1443	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1444	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1445	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1446	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1447	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	5	1	no	—
1455	C₂²⋊C₄	—	5	1	no	—
1456	C₂²⋊C₄	—	5	1	no	—
1457	C₂²⋊C₄	—	5	1	no	—
1458	C₂²⋊C₄	—	5	1	no	—
1459	C₂²⋊C₄	—	5	1	no	—
1460	C₂²⋊C₄	—	5	1	no	—
1461	C₂²⋊C₄	—	5	1	no	—
1462	C₂²⋊C₄	—	10	1	no	—
1463	C₂²⋊C₄	—	10	1	no	—
1464	C₂²⋊C₄	—	10	1	no	—
1465	C₂²⋊C₄	—	10	1	no	—
1466	C₂²⋊C₄	—	10	1	no	—
1467	C₂²⋊C₄	—	10	1	no	—
1468	C₂²⋊C₄	—	10	1	no	—
1469	C₂²⋊C₄	—	10	1	no	—
1470	C₂²⋊C₄	—	10	1	no	—
1471	C₂²⋊C₄	—	10	1	no	—
1472	C₂²⋊C₄	—	10	1	no	—
1473	C₂²⋊C₄	—	10	1	no	—
1474	C₂²⋊C₄	—	10	1	no	—
1475	C₂²⋊C₄	—	10	1	no	—
1476	C₂²⋊C₄	—	10	1	no	—
1477	C₂²⋊C₄	—	10	1	no	—
1478	C₂²⋊C₄	—	10	1	no	—
1479	C₂²⋊C₄	—	10	1	no	—
1480	C₂²⋊C₄	—	10	1	no	—
1481	C₂²⋊C₄	—	10	1	no	—
1482	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1483	C₂²⋊C₄	D₄×D₅	1	1	yes	characteristic
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	5	1	no	—
1491	C₄²	—	5	1	no	—
1492	C₄²	—	5	1	no	—
1493	C₄²	—	5	1	no	—
1494	C₄²	—	10	1	no	—
1495	C₄²	—	10	1	no	—
1496	C₄²	—	10	1	no	—
1497	C₄²	—	10	1	no	—
1498	C₄²	—	10	1	no	—
1499	C₄²	—	10	1	no	—
1500	C₄²	—	10	1	no	—
1501	C₄²	—	10	1	no	—
1502	C₄²	—	10	1	no	—
1503	C₄²	—	10	1	no	—
1504	C₄²	—	10	1	no	—
1505	C₄²	—	10	1	no	—
1506	C₄²	C₂³×D₅	1	1	yes	characteristic
1507	C₄²	C₂³×D₅	1	1	yes	characteristic
1508	C₂×C₅	—	4	1	no	—
1509	C₂×C₅	—	8	1	no	—
1510	C₂×C₅	D₄×#41	1	1	yes	characteristic
1511	C₂×C₅	C₂×#578	1	1	yes	characteristic
1512	C₂×C₅	#3584	1	1	yes	characteristic
1513	D₅	—	2	2	no	—
1514	D₅	—	4	1	no	—
1515	D₅	—	8	1	no	—
1516	C₂³	—	2	1	no	—
1517	C₂³	—	5	1	no	—
1518	C₂³	—	5	1	no	—
1519	C₂³	—	10	1	no	—
1520	C₂³	C₂×D₄×D₅	1	1	yes	characteristic
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	2	1	no	—
1525	Q₈	—	2	1	no	—
1526	Q₈	—	4	2	no	—
1527	Q₈	—	5	2	no	—
1528	Q₈	—	8	1	no	—
1529	Q₈	—	10	1	no	—
1530	Q₈	—	10	1	no	—
1531	Q₈	—	10	1	no	—
1532	Q₈	—	10	1	no	—
1533	Q₈	—	10	1	no	—
1534	Q₈	—	20	1	no	—
1535	Q₈	—	20	2	no	—
1536	Q₈	—	20	2	no	—
1537	Q₈	—	20	2	no	—
1538	Q₈	—	40	1	no	—
1539	Q₈	D₅×#41	1	2	yes	—
1540	D₄	—	2	1	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	8	1	no	—
1543	D₄	—	10	2	no	—
1544	D₄	—	10	2	no	—
1545	D₄	—	10	1	no	—
1546	D₄	—	10	1	no	—
1547	D₄	—	20	2	no	—
1548	D₄	—	20	2	no	—
1549	D₄	—	20	1	no	—
1550	D₄	—	20	2	no	—
1551	D₄	—	20	2	no	—
1552	D₄	—	40	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	4	2	no	—
1563	C₂×C₄	—	5	1	no	—
1564	C₂×C₄	—	5	1	no	—
1565	C₂×C₄	—	5	1	no	—
1566	C₂×C₄	—	5	1	no	—
1567	C₂×C₄	—	5	1	no	—
1568	C₂×C₄	—	5	1	no	—
1569	C₂×C₄	—	8	1	no	—
1570	C₂×C₄	—	10	2	no	—
1571	C₂×C₄	—	10	1	no	—
1572	C₂×C₄	—	10	1	no	—
1573	C₂×C₄	—	10	1	no	—
1574	C₂×C₄	—	10	1	no	—
1575	C₂×C₄	—	10	1	no	—
1576	C₂×C₄	—	10	1	no	—
1577	C₂×C₄	—	10	1	no	—
1578	C₂×C₄	—	10	1	no	—
1579	C₂×C₄	—	10	1	no	—
1580	C₂×C₄	—	10	1	no	—
1581	C₂×C₄	—	10	1	no	—
1582	C₂×C₄	—	20	1	no	—
1583	C₂×C₄	—	20	2	no	—
1584	C₂×C₄	—	20	2	no	—
1585	C₂×C₄	—	20	2	no	—
1586	C₂×C₄	—	20	2	no	—
1587	C₂×C₄	—	20	2	no	—
1588	C₂×C₄	—	40	1	no	—
1589	C₂×C₄	—	40	1	no	—
1590	C₂×C₄	—	40	1	no	—
1591	C₂×C₄	—	40	1	no	—
1592	C₂×C₄	—	40	1	no	—
1593	C₂×C₄	—	40	1	no	—
1594	C₂×C₄	—	40	1	no	—
1595	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1596	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1597	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1598	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1599	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1600	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1601	C₈	—	2	1	no	—
1602	C₈	—	2	1	no	—
1603	C₈	—	2	1	no	—
1604	C₈	—	2	1	no	—
1605	C₈	—	5	2	no	—
1606	C₈	—	10	1	no	—
1607	C₈	—	10	1	no	—
1608	C₈	—	10	1	no	—
1609	C₅	#61473	1	1	yes	characteristic, complemented, Sylow
1610	C₂²	—	2	1	no	—
1611	C₂²	—	2	1	no	—
1612	C₂²	—	2	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	5	2	no	—
1617	C₂²	—	10	1	no	—
1618	C₂²	—	10	1	no	—
1619	C₂²	—	10	1	no	—
1620	C₂²	—	10	1	no	—
1621	C₂²	—	10	1	no	—
1622	C₂²	—	20	1	no	—
1623	C₂²	—	20	1	no	—
1624	C₂²	—	20	1	no	—
1625	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1626	C₄	—	2	1	no	—
1627	C₄	—	2	2	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	4	1	no	—
1633	C₄	—	4	1	no	—
1634	C₄	—	4	1	no	—
1635	C₄	—	4	1	no	—
1636	C₄	—	4	1	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	10	1	no	—
1639	C₄	—	10	1	no	—
1640	C₄	—	10	2	no	—
1641	C₄	—	10	1	no	—
1642	C₄	—	10	1	no	—
1643	C₄	—	10	1	no	—
1644	C₄	—	10	1	no	—
1645	C₄	—	20	1	no	—
1646	C₄	—	20	1	no	—
1647	C₄	—	20	1	no	—
1648	C₄	—	20	1	no	—
1649	C₄	—	20	1	no	—
1650	C₄	—	20	1	no	—
1651	C₄	C₂×D₅×#41	1	1	yes	characteristic
1652	C₄	#66283	1	1	yes	characteristic
1653	C₂	—	4	1	no	—
1654	C₂	—	8	1	no	—
1655	C₂	—	10	2	no	—
1656	C₂	—	20	1	no	—
1657	C₂	—	40	1	no	—
1658	C₂	#10617938	1	1	yes	characteristic
1659	C₂	#10619107	1	1	yes	characteristic
1660	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×#3121	C₂
socle	C₂²×C₅	C₂³×D₄
hypercenter	#3121	D₅
hypocenter	C₅	#61473
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ #117 ◁ #3121

Complements

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

N	H ≅ G/N	type
1. #10618456	C₂	semidirect
2. #10617784	C₂	semidirect
3. C₅×#3121	C₂	semidirect
4. #10615188	C₂	semidirect
5. #10614280	C₂	semidirect
6. #10613261	C₂	semidirect
7. #10613260	C₂	semidirect
8. #10613142	C₂	semidirect
9. #10613119	C₂	semidirect
10. #10612856	C₂	semidirect
11. #10612832	C₂	semidirect
12. #10612755	C₂	semidirect
13. #10612737	C₂	semidirect
14. #10612351	C₂	semidirect
15. #10612345	C₂	semidirect
16. #10612319	C₂	semidirect
17. #10612318	C₂	semidirect
18. #10611942	C₂	semidirect
19. #10611930	C₂	semidirect
20. #10611798	C₂	semidirect
21. #10611784	C₂	semidirect
22. #10611565	C₂	semidirect
23. #10611555	C₂	semidirect
24. #10611515	C₂	semidirect
25. #10611509	C₂	semidirect
26. #10611479	C₂	semidirect
27. C₄×D₅×Q₁₆	C₂	semidirect
28. #10611394	C₂	semidirect
29. #10611388	C₂	semidirect
30. #10611125	C₂	semidirect
31. #10611097	C₂	semidirect
504. #3121	D₅	semidirect
1609. C₅	#61473	semidirect

Maximal subgroups

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

subgroup	index
#10618456	2
#10617784	2
C₅×#3121	2
#10615188	2
#10614280	2
#10613261	2
#10613260	2
#10613142	2
#10613119	2
#10612856	2
#10612832	2
#10612755	2
#10612737	2
#10612351	2
#10612345	2
#10612319	2
#10612318	2
#10611942	2
#10611930	2
#10611798	2
#10611784	2
#10611565	2
#10611555	2
#10611515	2
#10611509	2
#10611479	2
C₄×D₅×Q₁₆	2
#10611394	2
#10611388	2
#10611125	2
#10611097	2
#61473	5