Subgroups — #12979169

Order 1280.

1804 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#10618950	C₂	1	1	yes	maximal, characteristic
2	D₅×#557	C₂	1	1	yes	maximal, characteristic, complemented
3	C₅×#3371	C₂	1	1	yes	maximal, characteristic, complemented
4	#10615449	C₂	1	1	yes	maximal, characteristic, complemented
5	#10615431	C₂	1	1	yes	maximal, characteristic, complemented
6	#10613447	C₂	1	1	yes	maximal, characteristic, complemented
7	#10613440	C₂	1	1	yes	maximal, characteristic, complemented
8	#10613414	C₂	1	1	yes	maximal, characteristic, complemented
9	#10613408	C₂	1	1	yes	maximal, characteristic, complemented
10	#10613372	C₂	1	1	yes	maximal, characteristic, complemented
11	#10613365	C₂	1	1	yes	maximal, characteristic, complemented
12	#10612962	C₂	1	1	yes	maximal, characteristic, complemented
13	#10612951	C₂	1	1	yes	maximal, characteristic, complemented
14	#10612898	C₂	1	1	yes	maximal, characteristic, complemented
15	#10612882	C₂	1	1	yes	maximal, characteristic, complemented
16	#10612792	C₂	1	1	yes	maximal, characteristic, complemented
17	#10612782	C₂	1	1	yes	maximal, characteristic, complemented
18	#10612329	C₂	1	1	yes	maximal, characteristic, complemented
19	#10612329	C₂	1	1	yes	maximal, characteristic, complemented
20	#10612318	C₂	1	1	yes	maximal, characteristic, complemented
21	#10612311	C₂	1	1	yes	maximal, characteristic, complemented
22	#10612114	C₂	1	1	yes	maximal, characteristic, complemented
23	#10612103	C₂	1	1	yes	maximal, characteristic, complemented
24	#10611716	C₂	1	1	yes	maximal, characteristic, complemented
25	#10611693	C₂	1	1	yes	maximal, characteristic, complemented
26	#10611560	C₂	1	1	yes	maximal, characteristic, complemented
27	#10611548	C₂	1	1	yes	maximal, characteristic, complemented
28	#10611505	C₂	1	1	yes	maximal, characteristic, complemented
29	#10611485	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#4061	C₂	1	1	yes	maximal, characteristic, complemented
31	#10611355	C₂	1	1	yes	maximal, characteristic, complemented
32	C₅×#559	C₂²	1	1	yes	characteristic
33	C₅×#557	C₂²	1	1	yes	characteristic
34	C₂×#4064	C₂²	1	1	yes	characteristic
35	C₂×#4061	C₂²	1	1	yes	characteristic
36	C₂×#4061	C₂²	1	1	yes	characteristic
37	D₅×C₄⋊Q₈	—	2	1	no	—
38	D₅×C₄⋊Q₈	C₂²	1	1	yes	characteristic
39	#66055	—	2	1	no	—
40	#66055	C₂²	1	1	yes	characteristic
41	#66052	C₂²	1	1	yes	characteristic
42	#66050	C₂²	1	1	yes	characteristic
43	D₅×#125	—	2	1	no	—
44	D₅×#125	—	2	1	no	—
45	D₅×#125	C₂²	1	1	yes	characteristic
46	D₅×#125	C₂²	1	1	yes	characteristic
47	#66019	—	2	1	no	—
48	#66019	—	2	1	no	—
49	#66019	C₂²	1	1	yes	characteristic
50	#66019	C₂²	1	1	yes	characteristic
51	#66014	—	2	1	no	—
52	#66011	—	2	1	no	—
53	#66005	C₂²	1	1	yes	characteristic
54	#66005	C₂²	1	1	yes	characteristic
55	#66002	C₂²	1	1	yes	characteristic
56	#66002	C₂²	1	1	yes	characteristic
57	#65995	—	2	1	no	—
58	#65995	—	2	1	no	—
59	#65983	—	2	1	no	—
60	#65983	—	2	1	no	—
61	#65918	C₂²	1	1	yes	characteristic
62	C₄×#713	C₂²	1	1	yes	characteristic
63	C₄×Q₈×D₅	—	2	1	no	—
64	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
65	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
66	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
67	C₄×Q₈×D₅	C₂²	1	1	yes	characteristic
68	#65904	C₂²	1	1	yes	characteristic
69	#65903	C₂²	1	1	yes	characteristic
70	#65903	C₂²	1	1	yes	characteristic
71	#65901	—	2	1	no	—
72	#65901	C₂²	1	1	yes	characteristic
73	#65901	C₂²	1	1	yes	characteristic
74	#65893	C₂²	1	1	yes	characteristic
75	#65893	C₂²	1	1	yes	characteristic
76	#65892	—	2	1	no	—
77	C₄×#711	—	2	1	no	—
78	C₄×#711	C₂²	1	1	yes	characteristic
79	C₄×#711	C₂²	1	1	yes	characteristic
80	C₅×#490	C₂²	1	1	yes	characteristic
81	C₅×#489	C₂²	1	1	yes	characteristic
82	C₅×#488	C₂²	1	1	yes	characteristic
83	C₅×#479	C₂²	1	1	yes	characteristic
84	C₅×#478	C₂²	1	1	yes	characteristic
85	C₅×#476	C₂²	1	1	yes	characteristic
86	C₅×#464	C₂²	1	1	yes	characteristic
87	C₅×#464	C₂²	1	1	yes	characteristic
88	C₅×#460	C₂²	1	1	yes	characteristic
89	C₅×#446	C₂²	1	1	yes	characteristic
90	C₅×#441	C₂²	1	1	yes	characteristic
91	C₅×#440	C₂²	1	1	yes	characteristic
92	C₄×C₅×SD₁₆	C₂²	1	1	yes	characteristic
93	Q₁₆×Dic₅	C₂²	1	1	yes	characteristic
94	#65471	C₂²	1	1	yes	characteristic
95	#65471	C₂²	1	1	yes	characteristic
96	#65455	C₂²	1	1	yes	characteristic
97	#65455	C₂²	1	1	yes	characteristic
98	#65453	C₂²	1	1	yes	characteristic
99	#65452	C₂²	1	1	yes	characteristic
100	#65452	C₂²	1	1	yes	characteristic
101	SD₁₆×Dic₅	C₂²	1	1	yes	characteristic
102	#65380	C₂²	1	1	yes	characteristic
103	#65378	C₂²	1	1	yes	characteristic
104	#65364	C₂²	1	1	yes	characteristic
105	#65360	C₂²	1	1	yes	characteristic
106	#65358	C₂²	1	1	yes	characteristic
107	#65357	C₂²	1	1	yes	characteristic
108	#65355	C₂²	1	1	yes	characteristic
109	#65352	C₂²	1	1	yes	characteristic
110	#65345	C₂²	1	1	yes	characteristic
111	#65344	C₂²	1	1	yes	characteristic
112	#65343	C₂²	1	1	yes	characteristic
113	#65343	C₂²	1	1	yes	characteristic
114	#65320	C₂²	1	1	yes	characteristic
115	#65319	C₂²	1	1	yes	characteristic
116	#65319	C₂²	1	1	yes	characteristic
117	C₄×#689	C₂²	1	1	yes	characteristic
118	#65317	C₂²	1	1	yes	characteristic
119	#65317	C₂²	1	1	yes	characteristic
120	#65315	C₂²	1	1	yes	characteristic
121	#65313	C₂²	1	1	yes	characteristic
122	#65311	C₂²	1	1	yes	characteristic
123	#65307	C₂²	1	1	yes	characteristic
124	C₄×#687	C₂²	1	1	yes	characteristic
125	#65298	C₂²	1	1	yes	characteristic
126	#65297	C₂²	1	1	yes	characteristic
127	#65180	C₂²	1	1	yes	characteristic
128	#65170	C₂²	1	1	yes	characteristic
129	#65166	C₂²	1	1	yes	characteristic
130	#65162	C₂²	1	1	yes	characteristic
131	#65160	C₂²	1	1	yes	characteristic
132	#65150	C₂²	1	1	yes	characteristic
133	#65150	C₂²	1	1	yes	characteristic
134	#65146	C₂²	1	1	yes	characteristic
135	#65143	C₂²	1	1	yes	characteristic
136	#65143	C₂²	1	1	yes	characteristic
137	#65142	C₂²	1	1	yes	characteristic
138	#65141	C₂²	1	1	yes	characteristic
139	#65139	C₂²	1	1	yes	characteristic
140	#65138	C₂²	1	1	yes	characteristic
141	#65136	C₂²	1	1	yes	characteristic
142	#65134	C₂²	1	1	yes	characteristic
143	#65134	C₂²	1	1	yes	characteristic
144	#65126	C₂²	1	1	yes	characteristic
145	#65126	C₂²	1	1	yes	characteristic
146	#65126	C₂²	1	1	yes	characteristic
147	#65119	C₂²	1	1	yes	characteristic
148	#65118	C₂²	1	1	yes	characteristic
149	#65117	C₂²	1	1	yes	characteristic
150	#65117	C₂²	1	1	yes	characteristic
151	#65092	C₂²	1	1	yes	characteristic
152	#65092	C₂²	1	1	yes	characteristic
153	#65092	C₂²	1	1	yes	characteristic
154	#65091	C₂²	1	1	yes	characteristic
155	#65088	C₂²	1	1	yes	characteristic
156	#65086	C₂²	1	1	yes	characteristic
157	#65086	C₂²	1	1	yes	characteristic
158	#65085	C₂²	1	1	yes	characteristic
159	#65082	C₂²	1	1	yes	characteristic
160	#65082	C₂²	1	1	yes	characteristic
161	#65081	C₂²	1	1	yes	characteristic
162	#65081	C₂²	1	1	yes	characteristic
163	#65079	C₂²	1	1	yes	characteristic
164	#65079	C₂²	1	1	yes	characteristic
165	#65078	C₂²	1	1	yes	characteristic
166	#65077	C₂²	1	1	yes	characteristic
167	#65060	C₂²	1	1	yes	characteristic
168	#65060	C₂²	1	1	yes	characteristic
169	#65060	C₂²	1	1	yes	characteristic
170	#65060	C₂²	1	1	yes	characteristic
171	#65060	C₂²	1	1	yes	characteristic
172	#65060	C₂²	1	1	yes	characteristic
173	#65057	C₂²	1	1	yes	characteristic
174	#65057	C₂²	1	1	yes	characteristic
175	#65057	C₂²	1	1	yes	characteristic
176	#65057	C₂²	1	1	yes	characteristic
177	#65056	C₂²	1	1	yes	characteristic
178	#65056	C₂²	1	1	yes	characteristic
179	#65055	C₂²	1	1	yes	characteristic
180	#65053	C₂²	1	1	yes	characteristic
181	#65053	C₂²	1	1	yes	characteristic
182	#65052	C₂²	1	1	yes	characteristic
183	#65051	C₂²	1	1	yes	characteristic
184	#65051	C₂²	1	1	yes	characteristic
185	#65049	C₂²	1	1	yes	characteristic
186	#65049	C₂²	1	1	yes	characteristic
187	#65048	C₂²	1	1	yes	characteristic
188	#65048	C₂²	1	1	yes	characteristic
189	#65047	C₂²	1	1	yes	characteristic
190	#65046	C₂²	1	1	yes	characteristic
191	#65005	C₂²	1	1	yes	characteristic
192	#65003	C₂²	1	1	yes	characteristic
193	#64999	C₂²	1	1	yes	characteristic
194	#64996	C₂²	1	1	yes	characteristic
195	#64996	C₂²	1	1	yes	characteristic
196	#64992	C₂²	1	1	yes	characteristic
197	#64990	C₂²	1	1	yes	characteristic
198	#64990	C₂²	1	1	yes	characteristic
199	C₄×Dic₂₀	C₂²	1	1	yes	characteristic
200	#64986	C₂²	1	1	yes	characteristic
201	C₄×#676	C₂²	1	1	yes	characteristic
202	C₈×Dic₁₀	C₂²	1	1	yes	characteristic
203	#61320	—	5	1	no	maximal, Sylow
204	C₂×#713	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₅	—	2	1	no	—
206	C₂×Q₈×D₅	D₄	1	1	yes	characteristic
207	C₂×Q₈×D₅	C₂³	1	1	yes	characteristic
208	C₂×#711	—	2	1	no	—
209	C₂×#711	C₂³	1	1	yes	characteristic
210	C₂×#711	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	—	2	1	no	—
215	C₅×C₄⋊Q₈	C₂³	1	1	yes	characteristic
216	C₅×#127	C₂³	1	1	yes	characteristic
217	C₅×#125	—	2	1	no	—
218	C₅×#125	—	2	1	no	—
219	C₅×#125	C₂³	1	1	yes	characteristic
220	C₅×#125	C₂³	1	1	yes	characteristic
221	C₅×#124	—	2	1	no	—
222	C₅×#124	C₂³	1	1	yes	characteristic
223	C₅×#124	C₂³	1	1	yes	characteristic
224	C₅×#123	—	2	1	no	—
225	C₅×#123	—	2	1	no	—
226	C₄×C₅×Q₈	—	2	1	no	—
227	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
228	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
229	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
230	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
231	C₄×C₅×Q₈	C₂³	1	1	yes	characteristic
232	C₄×C₅×D₄	—	2	1	no	—
233	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
234	C₄×C₅×D₄	C₂³	1	1	yes	characteristic
235	#4092	—	2	1	no	—
236	Q₈×Dic₅	—	2	1	no	—
237	Q₈×Dic₅	D₄	1	1	yes	characteristic
238	Q₈×Dic₅	C₂³	1	1	yes	characteristic
239	Q₈×Dic₅	C₂³	1	1	yes	characteristic
240	Q₈×Dic₅	C₂³	1	1	yes	characteristic
241	Q₈×Dic₅	C₂³	1	1	yes	characteristic
242	#4090	—	2	1	no	—
243	#4090	—	2	1	no	—
244	#4090	—	2	1	no	—
245	#4090	C₂³	1	1	yes	characteristic
246	#4090	C₂³	1	1	yes	characteristic
247	C₂×#689	C₂³	1	1	yes	characteristic
248	C₂×#689	C₂³	1	1	yes	characteristic
249	C₂×#689	C₂³	1	1	yes	characteristic
250	C₂×#688	C₂³	1	1	yes	characteristic
251	#4086	C₂³	1	1	yes	characteristic
252	#4086	C₂³	1	1	yes	characteristic
253	#4085	—	2	1	no	—
254	#4085	—	2	1	no	—
255	#4084	—	2	1	no	—
256	#4084	—	2	1	no	—
257	#4084	—	2	1	no	—
258	#4082	C₂³	1	1	yes	characteristic
259	#4082	C₂³	1	1	yes	characteristic
260	D₄×Dic₅	—	2	1	no	—
261	D₄×Dic₅	—	2	1	no	—
262	D₄×Dic₅	C₂³	1	1	yes	characteristic
263	D₄×Dic₅	C₂³	1	1	yes	characteristic
264	C₂×#687	C₂³	1	1	yes	characteristic
265	C₂×#687	C₂³	1	1	yes	characteristic
266	#4075	—	2	1	no	—
267	#4075	—	2	1	no	—
268	C₄×C₂²⋊D₅	—	2	1	no	—
269	C₄×C₂²⋊D₅	—	2	1	no	—
270	C₄×C₂²⋊D₅	—	2	1	no	—
271	C₄×C₂²⋊D₅	—	2	1	no	—
272	C₂×C₄×Dic₅	—	2	1	no	—
273	C₂×C₄×Dic₅	—	2	1	no	—
274	#4064	—	2	4	no	—
275	#4061	—	2	4	no	—
276	#4061	—	2	4	no	—
277	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
278	C₂×Dic₂₀	C₂³	1	1	yes	characteristic
279	C₂×#677	C₂³	1	1	yes	characteristic
280	C₂×#676	C₂³	1	1	yes	characteristic
281	C₂×#676	C₂³	1	1	yes	characteristic
282	C₂×#676	C₂³	1	1	yes	characteristic
283	C₂×#676	C₂³	1	1	yes	characteristic
284	#4044	—	2	1	no	—
285	#4044	—	2	1	no	—
286	#4039	—	2	1	no	—
287	#4039	C₂³	1	1	yes	characteristic
288	#4038	—	2	1	no	—
289	#4038	—	2	1	no	—
290	#4038	C₂³	1	1	yes	characteristic
291	D₅×C₄⋊C₄	—	2	1	no	—
292	D₅×C₄⋊C₄	—	2	1	no	—
293	D₅×C₄⋊C₄	—	2	1	no	—
294	D₅×C₄⋊C₄	—	2	1	no	—
295	D₅×C₄⋊C₄	—	2	1	no	—
296	D₅×C₄⋊C₄	—	2	1	no	—
297	D₅×C₄⋊C₄	—	2	1	no	—
298	D₅×C₄⋊C₄	—	2	1	no	—
299	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
300	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
301	D₅×C₄⋊C₄	D₄	1	1	yes	characteristic
302	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
303	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
304	D₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
305	#4036	—	2	1	no	—
306	#4036	—	2	1	no	—
307	#4036	—	2	1	no	—
308	#4036	—	2	1	no	—
309	#4036	C₂³	1	1	yes	characteristic
310	#4036	C₂³	1	1	yes	characteristic
311	#4036	C₂³	1	1	yes	characteristic
312	#4036	C₂³	1	1	yes	characteristic
313	#4035	—	2	1	no	—
314	#4035	—	2	1	no	—
315	#4035	—	2	1	no	—
316	#4035	—	2	1	no	—
317	#4035	—	2	1	no	—
318	#4035	—	2	1	no	—
319	#4035	—	2	1	no	—
320	#4035	—	2	1	no	—
321	#4035	—	2	1	no	—
322	#4035	—	2	1	no	—
323	#4035	—	2	1	no	—
324	#4035	—	2	1	no	—
325	#4035	—	2	1	no	—
326	#4035	—	2	1	no	—
327	#4034	—	2	1	no	—
328	#4034	—	2	1	no	—
329	#4034	—	2	1	no	—
330	#4034	—	2	1	no	—
331	#4034	—	2	1	no	—
332	#4034	C₂³	1	1	yes	characteristic
333	#4034	C₂³	1	1	yes	characteristic
334	#4033	—	2	1	no	—
335	#4033	—	2	1	no	—
336	#4033	—	2	1	no	—
337	#4033	—	2	1	no	—
338	#4033	—	2	1	no	—
339	#4033	—	2	1	no	—
340	#4033	D₄	1	1	yes	characteristic
341	#4033	D₄	1	1	yes	characteristic
342	#4033	D₄	1	1	yes	characteristic
343	#4033	C₂³	1	1	yes	characteristic
344	#4033	C₂³	1	1	yes	characteristic
345	#4033	C₂³	1	1	yes	characteristic
346	#4033	C₂³	1	1	yes	characteristic
347	#4033	C₂³	1	1	yes	characteristic
348	#4031	—	2	1	no	—
349	#4031	—	2	1	no	—
350	#4030	—	2	1	no	—
351	#4030	—	2	1	no	—
352	#4030	—	2	1	no	—
353	#4030	—	2	1	no	—
354	#4029	—	2	1	no	—
355	#4029	—	2	1	no	—
356	#4027	—	2	1	no	—
357	#4027	—	2	1	no	—
358	#4027	—	2	1	no	—
359	#4027	—	2	1	no	—
360	#4027	—	2	1	no	—
361	#4027	—	2	1	no	—
362	#4025	—	2	1	no	—
363	#4025	—	2	1	no	—
364	#4025	—	2	1	no	—
365	#4025	—	2	1	no	—
366	#4024	—	2	1	no	—
367	#4024	—	2	1	no	—
368	#4023	—	2	1	no	—
369	#4023	—	2	1	no	—
370	#4023	—	2	1	no	—
371	#4023	—	2	1	no	—
372	#4021	C₂³	1	1	yes	characteristic
373	#4021	C₂³	1	1	yes	characteristic
374	C₄×D₂₀	—	2	1	no	—
375	C₄×D₂₀	C₂³	1	1	yes	characteristic
376	C₄²×D₅	—	2	1	no	—
377	C₄²×D₅	—	2	1	no	—
378	C₄²×D₅	—	2	1	no	—
379	C₄²×D₅	—	2	1	no	—
380	C₄²×D₅	C₂³	1	1	yes	characteristic
381	C₄²×D₅	C₂³	1	1	yes	characteristic
382	C₄²×D₅	C₂³	1	1	yes	characteristic
383	#4016	—	2	1	no	—
384	#4016	—	2	1	no	—
385	#4016	—	2	1	no	—
386	#4016	C₂³	1	1	yes	characteristic
387	#4016	C₂³	1	1	yes	characteristic
388	#4015	—	2	1	no	—
389	#4015	C₂³	1	1	yes	characteristic
390	#4015	C₂³	1	1	yes	characteristic
391	C₄×Dic₁₀	—	2	1	no	—
392	C₄×Dic₁₀	—	2	1	no	—
393	C₄×Dic₁₀	—	2	1	no	—
394	C₄×Dic₁₀	—	2	1	no	—
395	C₄×Dic₁₀	—	2	1	no	—
396	C₄×Dic₁₀	—	2	1	no	—
397	C₄×Dic₁₀	—	2	1	no	—
398	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
399	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
400	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
401	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
402	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
403	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
404	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
405	C₄×Dic₁₀	C₂³	1	1	yes	characteristic
406	C₅×#107	C₂³	1	1	yes	characteristic
407	C₅×#106	C₂³	1	1	yes	characteristic
408	C₅×#106	C₂³	1	1	yes	characteristic
409	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
410	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
411	C₅×C₄⋊C₈	C₂³	1	1	yes	characteristic
412	C₅×#103	C₂³	1	1	yes	characteristic
413	C₅×#103	C₂³	1	1	yes	characteristic
414	C₅×#103	C₂³	1	1	yes	characteristic
415	C₅×#103	C₂³	1	1	yes	characteristic
416	C₅×#102	C₂³	1	1	yes	characteristic
417	C₅×#102	C₂³	1	1	yes	characteristic
418	C₅×#102	C₂³	1	1	yes	characteristic
419	C₅×#102	C₂³	1	1	yes	characteristic
420	C₅×#102	C₂³	1	1	yes	characteristic
421	C₅×#102	C₂³	1	1	yes	characteristic
422	C₅×#97	C₂³	1	1	yes	characteristic
423	C₅×#97	C₂³	1	1	yes	characteristic
424	C₄×C₅×C₈	C₂³	1	1	yes	characteristic
425	#3967	C₂³	1	1	yes	characteristic
426	#3967	C₂³	1	1	yes	characteristic
427	#3967	C₂³	1	1	yes	characteristic
428	#3967	C₂³	1	1	yes	characteristic
429	#3964	C₂³	1	1	yes	characteristic
430	#3964	C₂³	1	1	yes	characteristic
431	#3964	C₂³	1	1	yes	characteristic
432	#3964	C₂³	1	1	yes	characteristic
433	#3964	C₂³	1	1	yes	characteristic
434	#3964	C₂³	1	1	yes	characteristic
435	#3953	C₂³	1	1	yes	characteristic
436	#3953	C₂³	1	1	yes	characteristic
437	#3953	C₂³	1	1	yes	characteristic
438	#3950	C₂³	1	1	yes	characteristic
439	#3950	C₂³	1	1	yes	characteristic
440	#3949	C₂³	1	1	yes	characteristic
441	#3948	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	#3947	C₂³	1	1	yes	characteristic
449	#3947	C₂³	1	1	yes	characteristic
450	#3946	C₂³	1	1	yes	characteristic
451	#3946	C₂³	1	1	yes	characteristic
452	#3946	C₂³	1	1	yes	characteristic
453	#3946	C₂³	1	1	yes	characteristic
454	#3946	C₂³	1	1	yes	characteristic
455	#3946	C₂³	1	1	yes	characteristic
456	C₈×Dic₅	C₂³	1	1	yes	characteristic
457	C₈×Dic₅	C₂³	1	1	yes	characteristic
458	C₈×Dic₅	C₂³	1	1	yes	characteristic
459	C₈×Dic₅	C₂³	1	1	yes	characteristic
460	#3942	C₂³	1	1	yes	characteristic
461	#3942	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	#3941	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	#3940	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	C₄⋊#168	C₂³	1	1	yes	characteristic
477	C₄⋊#168	C₂³	1	1	yes	characteristic
478	C₄⋊#168	C₂³	1	1	yes	characteristic
479	#3935	C₂³	1	1	yes	characteristic
480	#3935	C₂³	1	1	yes	characteristic
481	C₄×#168	C₂³	1	1	yes	characteristic
482	#3480	—	5	1	no	—
483	C₂×#557	—	5	1	no	—
484	#3377	—	5	1	no	—
485	#3377	—	5	1	no	—
486	#3377	—	5	1	no	—
487	#3377	—	5	1	no	—
488	#3374	—	5	1	no	—
489	#3374	—	5	1	no	—
490	#3371	—	5	1	no	—
491	#3371	—	5	1	no	—
492	#3371	—	5	1	no	—
493	#3371	D₅	1	1	yes	characteristic, complemented
494	#3368	—	5	1	no	—
495	#3368	—	5	1	no	—
496	#3365	—	5	1	no	—
497	#3365	—	5	1	no	—
498	#3364	—	5	1	no	—
499	#3364	—	5	1	no	—
500	#3142	—	5	1	no	—
501	#3142	—	5	1	no	—
502	#3141	—	5	1	no	—
503	#3080	—	5	1	no	—
504	#3080	—	5	1	no	—
505	#3079	—	5	1	no	—
506	#3037	—	5	1	no	—
507	#3037	—	5	1	no	—
508	#3037	—	5	1	no	—
509	Q₈×M₁₆	—	5	1	no	—
510	C₄×#137	—	5	1	no	—
511	C₄×#137	—	5	1	no	—
512	C₄×#137	—	5	1	no	—
513	C₂×C₅×Q₈	—	2	1	no	—
514	C₂×C₅×Q₈	C₂×D₄	1	1	yes	characteristic
515	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
516	C₂×C₅×Q₈	C₂⁴	1	1	yes	characteristic
517	C₂×C₅×D₄	—	2	1	no	—
518	C₂×C₅×D₄	—	2	1	no	—
519	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
520	C₂×C₅×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₅	—	2	1	no	—
522	C₂²×C₄×C₅	—	2	1	no	—
523	C₂×C₂²⋊D₅	—	2	1	no	—
524	C₂×C₂²⋊D₅	—	2	1	no	—
525	C₂×C₂²⋊D₅	—	2	1	no	—
526	C₂×C₂²⋊D₅	—	2	1	no	—
527	C₂×C₂²⋊D₅	—	2	1	no	—
528	C₂×C₂²⋊D₅	—	2	1	no	—
529	C₂²×Dic₅	—	2	1	no	—
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	—	2	2	no	—
535	Q₈×D₅	—	2	2	no	—
536	Q₈×D₅	—	4	2	no	—
537	Q₈×D₅	—	4	4	no	—
538	Q₈×D₅	#41	1	4	yes	complemented
539	#711	—	2	2	no	—
540	#711	—	2	2	no	—
541	#711	—	2	2	no	—
542	#711	—	2	2	no	—
543	#711	—	4	4	no	—
544	C₂×D₂₀	—	2	1	no	—
545	C₂×D₂₀	C₂⁴	1	1	yes	characteristic
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	C₂×D₄	1	1	yes	characteristic
554	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
555	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
556	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
557	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
558	C₂×C₄×D₅	C₂×D₄	1	1	yes	characteristic
559	C₂×C₄×D₅	C₂⁴	1	1	yes	characteristic
560	C₂×Dic₁₀	—	2	1	no	—
561	C₂×Dic₁₀	—	2	1	no	—
562	C₂×Dic₁₀	—	2	1	no	—
563	C₂×Dic₁₀	—	2	1	no	—
564	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
565	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
566	C₂×Dic₁₀	C₂×D₄	1	1	yes	characteristic
567	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
568	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
569	C₂×Dic₁₀	C₂⁴	1	1	yes	characteristic
570	C₅×Q₁₆	—	2	2	no	—
571	C₅×SD₁₆	—	2	2	no	—
572	C₅×SD₁₆	—	2	2	no	—
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	C₂×C₅×C₈	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
584	C₅×C₄⋊C₄	—	2	1	no	—
585	C₅×C₄⋊C₄	—	2	1	no	—
586	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
587	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
588	C₅×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
589	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
590	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
591	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
592	C₅×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
593	C₅×C₂²⋊C₄	—	2	1	no	—
594	C₅×C₂²⋊C₄	—	2	1	no	—
595	C₅×C₂²⋊C₄	—	2	1	no	—
596	C₅×C₂²⋊C₄	—	2	1	no	—
597	C₅×C₂²⋊C₄	—	2	1	no	—
598	C₅×C₂²⋊C₄	—	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	C₄²×C₅	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
612	#689	—	2	2	no	—
613	#689	—	2	2	no	—
614	#689	—	2	2	no	—
615	#688	—	2	2	no	—
616	#687	—	2	2	no	—
617	#687	—	2	2	no	—
618	#685	—	2	1	no	—
619	#685	—	2	1	no	—
620	#685	—	2	1	no	—
621	#685	—	2	1	no	—
622	#685	—	2	1	no	—
623	#685	—	2	1	no	—
624	#685	—	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	C₂×D₄	1	1	yes	characteristic
637	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
638	C₄⋊Dic₅	C₂×D₄	1	1	yes	characteristic
639	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
640	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
641	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
642	C₄⋊Dic₅	C₂⁴	1	1	yes	characteristic
643	#683	—	2	1	no	—
644	#683	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
671	#683	C₂×D₄	1	1	yes	characteristic
672	#683	C₂×D₄	1	1	yes	characteristic
673	#683	C₂×D₄	1	1	yes	characteristic
674	#683	C₂×D₄	1	1	yes	characteristic
675	#683	C₂×D₄	1	1	yes	characteristic
676	C₄×Dic₅	—	2	1	no	—
677	C₄×Dic₅	—	2	1	no	—
678	C₄×Dic₅	—	2	1	no	—
679	C₄×Dic₅	—	2	1	no	—
680	C₄×Dic₅	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
692	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
693	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
694	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
695	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
696	C₄×Dic₅	C₂×D₄	1	1	yes	characteristic
697	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
698	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
699	C₄×Dic₅	C₂⁴	1	1	yes	characteristic
700	C₂×#168	C₂⁴	1	1	yes	characteristic
701	C₂×#168	C₂⁴	1	1	yes	characteristic
702	C₂×#168	C₂⁴	1	1	yes	characteristic
703	C₂×#168	C₂⁴	1	1	yes	characteristic
704	Dic₂₀	—	2	2	no	—
705	Dic₂₀	—	2	2	no	—
706	#677	—	2	2	no	—
707	#676	—	2	2	no	—
708	#676	—	2	2	no	—
709	#676	—	2	2	no	—
710	#676	—	2	2	no	—
711	C₂×#137	—	5	1	no	—
712	C₂×#137	—	5	1	no	—
713	C₂×#137	—	5	1	no	—
714	#559	—	5	1	no	—
715	#559	—	5	1	no	—
716	#559	C₂×D₅	1	1	yes	characteristic
717	#557	—	5	1	no	—
718	#557	—	5	1	no	—
719	#557	—	5	1	no	—
720	#557	—	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	#557	—	10	1	no	—
728	#557	—	10	1	no	—
729	#557	C₂×D₅	1	1	yes	characteristic
730	#556	—	5	1	no	—
731	#556	—	5	1	no	—
732	#556	—	5	1	no	—
733	#553	—	10	1	no	—
734	#553	—	10	1	no	—
735	#553	—	10	1	no	—
736	#550	—	5	1	no	—
737	#548	—	10	1	no	—
738	#532	—	5	1	no	—
739	#532	—	5	1	no	—
740	#532	—	5	1	no	—
741	C₂×C₄⋊Q₈	—	5	1	no	—
742	C₂×C₄⋊Q₈	—	10	1	no	—
743	#529	—	10	1	no	—
744	#529	—	10	1	no	—
745	#529	—	10	1	no	—
746	C₂×#125	—	5	1	no	—
747	C₂×#125	—	5	1	no	—
748	C₂×#125	—	10	1	no	—
749	C₂×#125	—	10	1	no	—
750	C₄×#41	—	5	1	no	—
751	C₄×#41	—	5	1	no	—
752	C₄×#41	—	5	1	no	—
753	C₄×#41	—	10	1	no	—
754	C₂×C₄×Q₈	—	5	1	no	—
755	C₂×C₄×Q₈	—	5	1	no	—
756	C₂×C₄×Q₈	—	5	1	no	—
757	C₂×C₄×Q₈	—	5	1	no	—
758	C₂×C₄×Q₈	—	10	1	no	—
759	#491	—	5	1	no	—
760	#491	—	5	1	no	—
761	#491	—	5	1	no	—
762	#491	—	5	1	no	—
763	#490	—	5	1	no	—
764	#490	—	5	1	no	—
765	#490	—	5	1	no	—
766	#490	C₂×D₅	1	1	yes	characteristic
767	#489	—	5	1	no	—
768	#489	—	5	1	no	—
769	#489	—	5	1	no	—
770	#489	C₂×D₅	1	1	yes	characteristic
771	#488	—	5	1	no	—
772	#488	—	5	1	no	—
773	#488	—	5	1	no	—
774	#488	—	5	1	no	—
775	#488	—	5	1	no	—
776	#488	—	5	1	no	—
777	#488	—	5	1	no	—
778	#488	C₂×D₅	1	1	yes	characteristic
779	#487	—	5	1	no	—
780	#487	—	5	1	no	—
781	#486	—	5	1	no	—
782	#486	—	5	1	no	—
783	#479	—	5	1	no	—
784	#479	—	5	1	no	—
785	#479	—	5	1	no	—
786	#479	—	5	1	no	—
787	#479	—	5	1	no	—
788	#479	—	5	1	no	—
789	#479	—	5	1	no	—
790	#479	C₂×D₅	1	1	yes	characteristic
791	#478	—	5	1	no	—
792	#478	—	5	1	no	—
793	#478	—	5	1	no	—
794	#478	—	5	1	no	—
795	#478	—	5	1	no	—
796	#478	—	5	1	no	—
797	#478	—	5	1	no	—
798	#478	C₂×D₅	1	1	yes	characteristic
799	#477	—	5	1	no	—
800	#477	—	5	1	no	—
801	#476	—	5	1	no	—
802	#476	C₂×D₅	1	1	yes	characteristic
803	#475	—	5	1	no	—
804	#475	—	5	1	no	—
805	#474	—	5	1	no	—
806	#474	—	5	1	no	—
807	#464	—	5	1	no	—
808	#464	—	5	1	no	—
809	#464	—	5	1	no	—
810	#464	—	5	1	no	—
811	#464	—	5	1	no	—
812	#464	—	5	1	no	—
813	#464	—	5	1	no	—
814	#464	—	5	1	no	—
815	#464	—	5	1	no	—
816	#464	—	5	1	no	—
817	#464	C₂×D₅	1	1	yes	characteristic
818	#464	C₂×D₅	1	1	yes	characteristic
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	#460	—	5	1	no	—
826	#460	—	5	1	no	—
827	#460	—	5	1	no	—
828	#460	—	5	1	no	—
829	#460	—	5	1	no	—
830	#460	C₂×D₅	1	1	yes	characteristic
831	#446	—	5	1	no	—
832	#446	—	5	1	no	—
833	#446	—	5	1	no	—
834	#446	—	5	1	no	—
835	#446	—	5	1	no	—
836	#446	C₂×D₅	1	1	yes	characteristic
837	C₈×Q₈	—	5	1	no	—
838	C₈×Q₈	—	5	1	no	—
839	#441	—	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	C₂×D₅	1	1	yes	characteristic
845	#440	—	5	1	no	—
846	#440	—	5	1	no	—
847	#440	—	5	1	no	—
848	#440	—	5	1	no	—
849	#440	—	5	1	no	—
850	#440	C₂×D₅	1	1	yes	characteristic
851	C₄×Q₁₆	—	5	1	no	—
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×SD₁₆	—	5	1	no	—
858	C₄×SD₁₆	—	5	1	no	—
859	C₄×SD₁₆	—	5	1	no	—
860	C₄×SD₁₆	—	5	1	no	—
861	C₄×SD₁₆	—	5	1	no	—
862	C₄×SD₁₆	C₂×D₅	1	1	yes	characteristic
863	#428	—	5	1	no	—
864	#428	—	5	1	no	—
865	#428	—	5	1	no	—
866	#423	—	5	1	no	—
867	#423	—	5	1	no	—
868	#423	—	5	1	no	—
869	#419	—	5	1	no	—
870	#417	—	5	1	no	—
871	#417	—	5	1	no	—
872	#417	—	5	1	no	—
873	#417	—	5	1	no	—
874	#417	—	5	1	no	—
875	#417	—	5	1	no	—
876	#417	—	5	1	no	—
877	#417	—	5	1	no	—
878	#417	—	5	1	no	—
879	C₄×M₁₆	—	5	1	no	—
880	C₄×M₁₆	—	5	1	no	—
881	C₄×M₁₆	—	5	1	no	—
882	C₂³×C₅	—	2	1	no	—
883	C₂³×C₅	—	2	1	no	—
884	C₂²×D₅	—	2	1	no	—
885	C₂²×D₅	C₂²×D₄	1	1	yes	characteristic
886	C₅×Q₈	—	2	1	no	—
887	C₅×Q₈	—	2	1	no	—
888	C₅×Q₈	—	2	1	no	—
889	C₅×Q₈	—	4	1	no	—
890	C₅×Q₈	—	4	2	no	—
891	C₅×Q₈	C₂×#41	1	2	yes	—
892	C₅×D₄	—	2	1	no	—
893	C₅×D₄	—	2	1	no	—
894	C₅×D₄	—	2	1	no	—
895	C₅×D₄	—	2	1	no	—
896	C₅×D₄	—	4	2	no	—
897	C₅×D₄	—	8	1	no	—
898	C₂×C₄×C₅	—	2	1	no	—
899	C₂×C₄×C₅	—	2	1	no	—
900	C₂×C₄×C₅	—	2	1	no	—
901	C₂×C₄×C₅	—	2	1	no	—
902	C₂×C₄×C₅	—	2	1	no	—
903	C₂×C₄×C₅	—	2	1	no	—
904	C₂×C₄×C₅	—	8	1	no	—
905	C₂×C₄×C₅	—	8	1	no	—
906	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
907	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
908	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
909	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
910	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
911	C₂×C₄×C₅	C₂²×D₄	1	1	yes	characteristic
912	C₂×C₄×C₅	C₂⁵	1	1	yes	characteristic
913	C₂²⋊D₅	—	4	2	no	—
914	C₂²⋊D₅	—	4	2	no	—
915	C₂²⋊D₅	—	4	2	no	—
916	C₂²⋊D₅	—	4	2	no	—
917	C₂²⋊D₅	—	8	1	no	—
918	C₂²⋊D₅	—	8	1	no	—
919	C₂×Dic₅	—	2	1	no	—
920	C₂×Dic₅	—	2	1	no	—
921	C₂×Dic₅	—	2	1	no	—
922	C₂×Dic₅	—	2	1	no	—
923	C₂×Dic₅	—	2	1	no	—
924	C₂×Dic₅	—	2	1	no	—
925	C₂×Dic₅	—	2	1	no	—
926	C₂×Dic₅	—	4	2	no	—
927	C₂×Dic₅	—	4	2	no	—
928	C₂×Dic₅	—	4	2	no	—
929	C₂×Dic₅	—	4	2	no	—
930	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
931	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
932	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
933	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
934	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
935	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
936	C₂×Dic₅	C₂²×D₄	1	1	yes	characteristic
937	D₂₀	—	2	1	no	—
938	D₂₀	—	2	1	no	—
939	D₂₀	—	4	2	no	—
940	C₄×D₅	—	2	4	no	—
941	C₄×D₅	—	2	2	no	—
942	C₄×D₅	—	4	1	no	—
943	C₄×D₅	—	4	1	no	—
944	C₄×D₅	—	4	1	no	—
945	C₄×D₅	—	4	1	no	—
946	C₄×D₅	—	4	1	no	—
947	C₄×D₅	—	4	2	no	—
948	C₄×D₅	—	4	2	no	—
949	C₄×D₅	—	4	2	no	—
950	C₄×D₅	—	4	2	no	—
951	C₄×D₅	—	4	2	no	—
952	C₄×D₅	—	8	1	no	—
953	C₄×D₅	C₂×#41	1	2	yes	—
954	C₄×D₅	2₋¹⁺⁴	1	2	yes	—
955	Dic₁₀	—	2	1	no	—
956	Dic₁₀	—	2	4	no	—
957	Dic₁₀	—	2	2	no	—
958	Dic₁₀	—	2	2	no	—
959	Dic₁₀	—	2	1	no	—
960	Dic₁₀	—	2	1	no	—
961	Dic₁₀	—	2	1	no	—
962	Dic₁₀	—	2	1	no	—
963	Dic₁₀	—	4	1	no	—
964	Dic₁₀	—	4	2	no	—
965	Dic₁₀	—	4	2	no	—
966	Dic₁₀	—	4	2	no	—
967	Dic₁₀	C₂×#41	1	2	yes	—
968	C₅×C₈	—	2	1	no	—
969	C₅×C₈	—	2	1	no	—
970	C₅×C₈	—	2	1	no	—
971	C₅×C₈	—	2	1	no	—
972	#168	—	2	1	no	—
973	#168	—	2	1	no	—
974	#168	—	2	1	no	—
975	#168	—	2	1	no	—
976	C₂×#41	—	5	1	no	—
977	C₂×#41	—	5	1	no	—
978	C₂×#41	—	5	1	no	—
979	C₂×#41	—	10	1	no	—
980	C₂²×Q₈	—	5	1	no	—
981	C₂²×Q₈	—	5	1	no	—
982	C₂²×Q₈	—	10	1	no	—
983	#137	—	10	4	no	—
984	#137	—	10	4	no	—
985	#137	—	10	4	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	C₂²×D₅	1	1	yes	characteristic
992	C₂×SD₁₆	—	5	1	no	—
993	C₂×SD₁₆	—	5	1	no	—
994	C₂×SD₁₆	—	5	1	no	—
995	C₂×SD₁₆	—	5	1	no	—
996	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
997	C₂×SD₁₆	C₂²×D₅	1	1	yes	characteristic
998	C₂×M₁₆	—	5	1	no	—
999	C₂×M₁₆	—	5	1	no	—
1000	C₂×M₁₆	—	5	1	no	—
1001	C₂×M₁₆	—	5	1	no	—
1002	C₄⋊Q₈	—	2	1	no	—
1003	C₄⋊Q₈	—	5	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	—	10	1	no	—
1010	C₄⋊Q₈	—	10	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	#127	—	5	1	no	—
1020	#127	—	5	1	no	—
1021	#127	C₂²×D₅	1	1	yes	characteristic
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	#125	—	2	1	no	—
1029	#125	—	2	1	no	—
1030	#125	—	5	1	no	—
1031	#125	—	5	1	no	—
1032	#125	—	5	1	no	—
1033	#125	—	5	1	no	—
1034	#125	—	5	1	no	—
1035	#125	—	5	1	no	—
1036	#125	—	10	1	no	—
1037	#125	—	10	1	no	—
1038	#125	—	10	1	no	—
1039	#125	—	10	1	no	—
1040	#125	—	10	1	no	—
1041	#125	—	10	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	C₂²×D₅	1	1	yes	characteristic
1058	#125	C₂²×D₅	1	1	yes	characteristic
1059	#124	—	2	1	no	—
1060	#124	—	5	1	no	—
1061	#124	—	5	1	no	—
1062	#124	—	5	1	no	—
1063	#124	—	5	1	no	—
1064	#124	—	10	1	no	—
1065	#124	—	10	1	no	—
1066	#124	C₂²×D₅	1	1	yes	characteristic
1067	#124	C₂²×D₅	1	1	yes	characteristic
1068	#123	—	2	1	no	—
1069	#123	—	2	1	no	—
1070	#123	—	10	1	no	—
1071	#123	—	10	1	no	—
1072	#123	—	10	1	no	—
1073	#123	—	10	1	no	—
1074	C₂²⋊Q₈	—	10	1	no	—
1075	C₂²⋊Q₈	—	10	1	no	—
1076	C₂²⋊Q₈	—	10	1	no	—
1077	#121	—	10	1	no	—
1078	#121	—	10	1	no	—
1079	#121	—	10	1	no	—
1080	#121	—	10	1	no	—
1081	#121	—	10	1	no	—
1082	#121	—	10	1	no	—
1083	#121	—	10	1	no	—
1084	#121	—	10	1	no	—
1085	#121	—	10	1	no	—
1086	C₄×Q₈	—	2	1	no	—
1087	C₄×Q₈	—	5	1	no	—
1088	C₄×Q₈	—	5	1	no	—
1089	C₄×Q₈	—	5	1	no	—
1090	C₄×Q₈	—	5	1	no	—
1091	C₄×Q₈	—	5	1	no	—
1092	C₄×Q₈	—	5	1	no	—
1093	C₄×Q₈	—	5	1	no	—
1094	C₄×Q₈	—	5	1	no	—
1095	C₄×Q₈	—	5	1	no	—
1096	C₄×Q₈	—	5	1	no	—
1097	C₄×Q₈	—	5	1	no	—
1098	C₄×Q₈	—	5	1	no	—
1099	C₄×Q₈	—	5	1	no	—
1100	C₄×Q₈	—	5	1	no	—
1101	C₄×Q₈	—	5	1	no	—
1102	C₄×Q₈	—	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	—	10	1	no	—
1109	C₄×Q₈	—	10	1	no	—
1110	C₄×Q₈	—	10	1	no	—
1111	C₄×Q₈	—	10	1	no	—
1112	C₄×Q₈	—	10	1	no	—
1113	C₄×Q₈	—	10	1	no	—
1114	C₄×Q₈	—	10	1	no	—
1115	C₄×Q₈	—	10	1	no	—
1116	C₄×Q₈	—	10	1	no	—
1117	C₄×Q₈	—	10	1	no	—
1118	C₄×Q₈	—	10	1	no	—
1119	C₄×Q₈	—	10	1	no	—
1120	C₄×Q₈	—	10	1	no	—
1121	C₄×Q₈	—	10	1	no	—
1122	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1123	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1124	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1125	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1126	C₄×Q₈	C₂²×D₅	1	1	yes	characteristic
1127	C₄×D₄	—	2	1	no	—
1128	C₄×D₄	—	5	1	no	—
1129	C₄×D₄	—	5	1	no	—
1130	C₄×D₄	—	5	1	no	—
1131	C₄×D₄	—	5	1	no	—
1132	C₄×D₄	—	10	1	no	—
1133	C₄×D₄	—	10	1	no	—
1134	C₄×D₄	—	10	1	no	—
1135	C₄×D₄	—	10	1	no	—
1136	C₄×D₄	—	10	1	no	—
1137	C₄×D₄	—	10	1	no	—
1138	C₄×D₄	—	10	1	no	—
1139	C₄×D₄	—	10	1	no	—
1140	C₄×D₄	—	10	1	no	—
1141	C₄×D₄	—	10	1	no	—
1142	C₄×D₄	—	10	1	no	—
1143	C₄×D₄	—	10	1	no	—
1144	C₄×D₄	—	10	1	no	—
1145	C₄×D₄	—	10	1	no	—
1146	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1147	C₄×D₄	C₂²×D₅	1	1	yes	characteristic
1148	#117	—	5	1	no	—
1149	#117	—	10	1	no	—
1150	#117	—	10	1	no	—
1151	#117	—	10	1	no	—
1152	#117	—	10	1	no	—
1153	#117	—	10	1	no	—
1154	#117	—	10	1	no	—
1155	C₂×C₄⋊C₄	—	5	1	no	—
1156	C₂×C₄⋊C₄	—	5	1	no	—
1157	C₂×C₄⋊C₄	—	5	1	no	—
1158	C₂×C₄⋊C₄	—	5	1	no	—
1159	C₂×C₄⋊C₄	—	5	1	no	—
1160	C₂×C₄⋊C₄	—	5	1	no	—
1161	C₂×C₄⋊C₄	—	10	1	no	—
1162	C₂×C₄⋊C₄	—	10	1	no	—
1163	C₂×C₄⋊C₄	—	10	1	no	—
1164	C₂×C₄⋊C₄	—	10	1	no	—
1165	C₂×C₄⋊C₄	—	10	1	no	—
1166	C₂×C₄⋊C₄	—	10	1	no	—
1167	C₂×C₄⋊C₄	—	10	1	no	—
1168	C₂×C₄⋊C₄	—	10	1	no	—
1169	C₂×C₄²	—	5	1	no	—
1170	C₂×C₄²	—	5	1	no	—
1171	C₂×C₄²	—	5	1	no	—
1172	C₂×C₄²	—	10	1	no	—
1173	C₂×C₄²	—	10	1	no	—
1174	C₂×C₄²	—	10	1	no	—
1175	C₂×C₄²	—	10	1	no	—
1176	C₂×C₄²	—	10	1	no	—
1177	C₂×C₄²	—	10	1	no	—
1178	#107	—	5	1	no	—
1179	#107	—	5	1	no	—
1180	#107	—	5	1	no	—
1181	#107	—	5	1	no	—
1182	#107	—	5	1	no	—
1183	#107	C₂²×D₅	1	1	yes	characteristic
1184	#106	—	5	1	no	—
1185	#106	—	5	1	no	—
1186	#106	—	5	1	no	—
1187	#106	—	5	1	no	—
1188	#106	C₂²×D₅	1	1	yes	characteristic
1189	#106	C₂²×D₅	1	1	yes	characteristic
1190	C₄⋊C₈	—	5	1	no	—
1191	C₄⋊C₈	—	5	1	no	—
1192	C₄⋊C₈	—	5	1	no	—
1193	C₄⋊C₈	—	5	1	no	—
1194	C₄⋊C₈	—	5	1	no	—
1195	C₄⋊C₈	—	5	1	no	—
1196	C₄⋊C₈	—	5	1	no	—
1197	C₄⋊C₈	—	5	1	no	—
1198	C₄⋊C₈	—	5	1	no	—
1199	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
1200	C₄⋊C₈	C₂²×D₅	1	1	yes	characteristic
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	C₂²×D₅	1	1	yes	characteristic
1221	#103	C₂²×D₅	1	1	yes	characteristic
1222	#103	C₂²×D₅	1	1	yes	characteristic
1223	#103	C₂²×D₅	1	1	yes	characteristic
1224	#102	—	5	1	no	—
1225	#102	—	5	1	no	—
1226	#102	—	5	1	no	—
1227	#102	—	5	1	no	—
1228	#102	—	5	1	no	—
1229	#102	—	5	1	no	—
1230	#102	—	5	1	no	—
1231	#102	—	5	1	no	—
1232	#102	—	5	1	no	—
1233	#102	—	5	1	no	—
1234	#102	—	5	1	no	—
1235	#102	—	5	1	no	—
1236	#102	C₂²×D₅	1	1	yes	characteristic
1237	#102	C₂²×D₅	1	1	yes	characteristic
1238	#102	C₂²×D₅	1	1	yes	characteristic
1239	#102	C₂²×D₅	1	1	yes	characteristic
1240	#102	C₂²×D₅	1	1	yes	characteristic
1241	#102	C₂²×D₅	1	1	yes	characteristic
1242	#97	—	5	1	no	—
1243	#97	—	5	1	no	—
1244	#97	—	5	1	no	—
1245	#97	—	5	1	no	—
1246	#97	C₂²×D₅	1	1	yes	characteristic
1247	#97	C₂²×D₅	1	1	yes	characteristic
1248	C₄×C₈	—	5	1	no	—
1249	C₄×C₈	—	5	1	no	—
1250	C₄×C₈	—	5	1	no	—
1251	C₄×C₈	—	5	1	no	—
1252	C₄×C₈	—	5	1	no	—
1253	C₄×C₈	C₂²×D₅	1	1	yes	characteristic
1254	C₂²×C₅	—	4	1	no	—
1255	C₂²×C₅	—	4	1	no	—
1256	C₂²×C₅	—	4	1	no	—
1257	C₂²×C₅	—	4	1	no	—
1258	C₂²×C₅	—	4	1	no	—
1259	C₂²×C₅	—	4	1	no	—
1260	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1261	C₂×D₅	—	2	1	no	—
1262	C₂×D₅	—	2	1	no	—
1263	C₂×D₅	—	4	1	no	—
1264	C₂×D₅	—	4	1	no	—
1265	C₂×D₅	—	4	1	no	—
1266	C₂×D₅	#548	1	2	yes	—
1267	C₄×C₅	—	2	1	no	—
1268	C₄×C₅	—	2	1	no	—
1269	C₄×C₅	—	2	1	no	—
1270	C₄×C₅	—	2	2	no	—
1271	C₄×C₅	—	2	1	no	—
1272	C₄×C₅	—	2	1	no	—
1273	C₄×C₅	—	2	1	no	—
1274	C₄×C₅	—	4	1	no	—
1275	C₄×C₅	—	4	1	no	—
1276	C₄×C₅	—	4	1	no	—
1277	C₄×C₅	—	4	1	no	—
1278	C₄×C₅	—	4	1	no	—
1279	C₄×C₅	C₂²×#41	1	1	yes	characteristic
1280	C₄×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1281	Dic₅	—	2	1	no	—
1282	Dic₅	—	2	1	no	—
1283	Dic₅	—	2	1	no	—
1284	Dic₅	—	2	2	no	—
1285	Dic₅	—	2	1	no	—
1286	Dic₅	—	2	1	no	—
1287	Dic₅	—	4	1	no	—
1288	Dic₅	—	4	1	no	—
1289	Dic₅	—	4	1	no	—
1290	Dic₅	—	4	1	no	—
1291	Dic₅	—	4	1	no	—
1292	Dic₅	—	4	1	no	—
1293	Dic₅	#548	1	2	yes	—
1294	Dic₅	#575	1	2	yes	—
1295	#41	—	10	2	no	—
1296	#41	—	10	2	no	—
1297	#41	—	10	2	no	—
1298	#41	—	10	2	no	—
1299	#41	—	10	2	no	—
1300	#41	—	10	2	no	—
1301	#41	—	20	4	no	—
1302	C₂×Q₈	—	2	1	no	—
1303	C₂×Q₈	—	5	1	no	—
1304	C₂×Q₈	—	5	1	no	—
1305	C₂×Q₈	—	5	1	no	—
1306	C₂×Q₈	—	5	4	no	—
1307	C₂×Q₈	—	5	1	no	—
1308	C₂×Q₈	—	5	1	no	—
1309	C₂×Q₈	—	5	1	no	—
1310	C₂×Q₈	—	10	1	no	—
1311	C₂×Q₈	—	10	1	no	—
1312	C₂×Q₈	—	10	1	no	—
1313	C₂×Q₈	—	10	2	no	—
1314	C₂×Q₈	—	10	1	no	—
1315	C₂×Q₈	—	20	2	no	—
1316	C₂×Q₈	—	20	4	no	—
1317	C₂×Q₈	D₄×D₅	1	1	yes	characteristic
1318	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1319	C₂×Q₈	C₂³×D₅	1	1	yes	characteristic
1320	C₂×D₄	—	2	1	no	—
1321	C₂×D₄	—	2	1	no	—
1322	C₂×D₄	—	5	1	no	—
1323	C₂×D₄	—	10	1	no	—
1324	C₂×D₄	—	10	1	no	—
1325	C₂×D₄	—	10	1	no	—
1326	C₂×D₄	—	10	1	no	—
1327	C₂×D₄	—	10	1	no	—
1328	C₂×D₄	—	10	1	no	—
1329	C₂×D₄	—	10	1	no	—
1330	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1331	C₂×D₄	C₂³×D₅	1	1	yes	characteristic
1332	C₂²×C₄	—	2	1	no	—
1333	C₂²×C₄	—	2	1	no	—
1334	C₂²×C₄	—	5	1	no	—
1335	C₂²×C₄	—	5	1	no	—
1336	C₂²×C₄	—	5	1	no	—
1337	C₂²×C₄	—	5	1	no	—
1338	C₂²×C₄	—	5	1	no	—
1339	C₂²×C₄	—	5	1	no	—
1340	C₂²×C₄	—	5	1	no	—
1341	C₂²×C₄	—	10	1	no	—
1342	C₂²×C₄	—	10	1	no	—
1343	C₂²×C₄	—	10	1	no	—
1344	C₂²×C₄	—	10	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	Q₁₆	—	2	2	no	—
1353	Q₁₆	—	10	2	no	—
1354	Q₁₆	—	10	2	no	—
1355	Q₁₆	—	10	2	no	—
1356	Q₁₆	—	10	2	no	—
1357	Q₁₆	—	10	2	no	—
1358	SD₁₆	—	2	2	no	—
1359	SD₁₆	—	2	2	no	—
1360	SD₁₆	—	10	2	no	—
1361	SD₁₆	—	10	2	no	—
1362	SD₁₆	—	10	2	no	—
1363	SD₁₆	—	10	2	no	—
1364	M₁₆	—	10	2	no	—
1365	M₁₆	—	10	2	no	—
1366	M₁₆	—	10	2	no	—
1367	M₁₆	—	10	2	no	—
1368	C₂×C₈	—	5	1	no	—
1369	C₂×C₈	—	5	1	no	—
1370	C₂×C₈	—	5	1	no	—
1371	C₂×C₈	—	5	1	no	—
1372	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1373	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1374	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1375	C₂×C₈	C₂³×D₅	1	1	yes	characteristic
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	5	1	no	—
1386	C₄⋊C₄	—	5	1	no	—
1387	C₄⋊C₄	—	5	1	no	—
1388	C₄⋊C₄	—	5	1	no	—
1389	C₄⋊C₄	—	5	1	no	—
1390	C₄⋊C₄	—	5	1	no	—
1391	C₄⋊C₄	—	5	1	no	—
1392	C₄⋊C₄	—	5	1	no	—
1393	C₄⋊C₄	—	5	1	no	—
1394	C₄⋊C₄	—	5	1	no	—
1395	C₄⋊C₄	—	5	1	no	—
1396	C₄⋊C₄	—	5	1	no	—
1397	C₄⋊C₄	—	5	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	—	10	1	no	—
1434	C₄⋊C₄	—	10	1	no	—
1435	C₄⋊C₄	—	10	1	no	—
1436	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1437	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1438	C₄⋊C₄	D₄×D₅	1	1	yes	characteristic
1439	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1440	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1441	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1442	C₄⋊C₄	C₂³×D₅	1	1	yes	characteristic
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	10	1	no	—
1450	C₂²⋊C₄	—	10	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	C₄²	—	2	1	no	—
1463	C₄²	—	2	1	no	—
1464	C₄²	—	2	1	no	—
1465	C₄²	—	2	1	no	—
1466	C₄²	—	5	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	—	5	1	no	—
1473	C₄²	—	5	1	no	—
1474	C₄²	—	5	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	C₂³×D₅	1	1	yes	characteristic
1491	C₄²	C₂³×D₅	1	1	yes	characteristic
1492	C₄²	C₂³×D₅	1	1	yes	characteristic
1493	C₂×C₅	—	8	1	no	—
1494	C₂×C₅	—	8	1	no	—
1495	C₂×C₅	C₂×#548	1	1	yes	characteristic
1496	C₂×C₅	C₂×#575	1	1	yes	characteristic
1497	C₂×C₅	#3586	1	1	yes	characteristic
1498	D₅	—	2	2	no	—
1499	D₅	—	8	1	no	—
1500	C₂³	—	2	1	no	—
1501	C₂³	—	2	1	no	—
1502	C₂³	—	5	1	no	—
1503	C₂³	—	10	1	no	—
1504	Q₈	—	2	1	no	—
1505	Q₈	—	2	1	no	—
1506	Q₈	—	2	1	no	—
1507	Q₈	—	4	1	no	—
1508	Q₈	—	4	2	no	—
1509	Q₈	—	5	2	no	—
1510	Q₈	—	10	4	no	—
1511	Q₈	—	10	2	no	—
1512	Q₈	—	10	2	no	—
1513	Q₈	—	10	1	no	—
1514	Q₈	—	10	1	no	—
1515	Q₈	—	10	1	no	—
1516	Q₈	—	10	1	no	—
1517	Q₈	—	10	1	no	—
1518	Q₈	—	20	1	no	—
1519	Q₈	—	20	2	no	—
1520	Q₈	—	20	2	no	—
1521	Q₈	—	20	2	no	—
1522	Q₈	D₅×#41	1	2	yes	—
1523	D₄	—	2	1	no	—
1524	D₄	—	2	1	no	—
1525	D₄	—	2	1	no	—
1526	D₄	—	2	1	no	—
1527	D₄	—	4	2	no	—
1528	D₄	—	8	1	no	—
1529	D₄	—	10	1	no	—
1530	D₄	—	10	1	no	—
1531	D₄	—	20	2	no	—
1532	D₄	—	20	2	no	—
1533	D₄	—	20	2	no	—
1534	D₄	—	20	2	no	—
1535	D₄	—	20	2	no	—
1536	D₄	—	40	1	no	—
1537	D₄	—	40	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	—	2	1	no	—
1544	C₂×C₄	—	5	1	no	—
1545	C₂×C₄	—	5	1	no	—
1546	C₂×C₄	—	5	2	no	—
1547	C₂×C₄	—	5	2	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	—	8	1	no	—
1554	C₂×C₄	—	8	1	no	—
1555	C₂×C₄	—	10	2	no	—
1556	C₂×C₄	—	10	4	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	—	20	1	no	—
1565	C₂×C₄	—	20	1	no	—
1566	C₂×C₄	—	20	1	no	—
1567	C₂×C₄	—	20	1	no	—
1568	C₂×C₄	—	20	1	no	—
1569	C₂×C₄	—	20	2	no	—
1570	C₂×C₄	—	20	2	no	—
1571	C₂×C₄	—	20	2	no	—
1572	C₂×C₄	—	20	2	no	—
1573	C₂×C₄	—	20	2	no	—
1574	C₂×C₄	—	20	2	no	—
1575	C₂×C₄	—	20	2	no	—
1576	C₂×C₄	—	20	2	no	—
1577	C₂×C₄	—	20	2	no	—
1578	C₂×C₄	—	40	1	no	—
1579	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1580	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1581	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1582	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1583	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1584	C₂×C₄	C₂×D₄×D₅	1	1	yes	characteristic
1585	C₂×C₄	C₂⁴×D₅	1	1	yes	characteristic
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	10	1	no	—
1591	C₈	—	10	1	no	—
1592	C₈	—	10	1	no	—
1593	C₈	—	10	1	no	—
1594	C₅	#61320	1	1	yes	characteristic, complemented, Sylow
1595	C₂²	—	4	1	no	—
1596	C₂²	—	4	1	no	—
1597	C₂²	—	4	1	no	—
1598	C₂²	—	4	1	no	—
1599	C₂²	—	4	1	no	—
1600	C₂²	—	4	1	no	—
1601	C₂²	—	5	2	no	—
1602	C₂²	—	10	1	no	—
1603	C₂²	—	10	1	no	—
1604	C₂²	—	20	1	no	—
1605	C₂²	—	20	1	no	—
1606	C₂²	—	20	1	no	—
1607	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1608	C₄	—	2	2	no	—
1609	C₄	—	2	1	no	—
1610	C₄	—	2	1	no	—
1611	C₄	—	2	1	no	—
1612	C₄	—	2	1	no	—
1613	C₄	—	2	1	no	—
1614	C₄	—	2	1	no	—
1615	C₄	—	4	1	no	—
1616	C₄	—	4	1	no	—
1617	C₄	—	4	1	no	—
1618	C₄	—	4	1	no	—
1619	C₄	—	4	1	no	—
1620	C₄	—	5	2	no	—
1621	C₄	—	5	2	no	—
1622	C₄	—	10	2	no	—
1623	C₄	—	10	1	no	—
1624	C₄	—	10	1	no	—
1625	C₄	—	10	1	no	—
1626	C₄	—	10	1	no	—
1627	C₄	—	10	1	no	—
1628	C₄	—	20	1	no	—
1629	C₄	—	20	1	no	—
1630	C₄	—	20	1	no	—
1631	C₄	—	20	1	no	—
1632	C₄	—	20	1	no	—
1633	C₄	—	20	1	no	—
1634	C₄	C₂×D₅×#41	1	1	yes	characteristic
1635	C₄	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1636	C₂	—	8	1	no	—
1637	C₂	—	8	1	no	—
1638	C₂	—	10	2	no	—
1639	C₂	—	40	1	no	—
1640	C₂	D₅×#548	1	1	yes	characteristic
1641	C₂	D₅×#575	1	1	yes	characteristic
1642	C₂	#10619109	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×#3371	C₂
socle	C₂²×C₅	C₂³×D₄
prime radical	#10618950	C₂
hypercenter	#3371	D₅
hypocenter	C₅	#61320
LCS	G ▷ C₂×C₄×C₅ ▷ C₂×C₅ ▷ C₅
UCS	C₁ ◁ C₂² ◁ C₄×Q₈ ◁ #3371

Complements

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

N	H ≅ G/N	type
2. D₅×#557	C₂	semidirect
3. C₅×#3371	C₂	semidirect
4. #10615449	C₂	semidirect
5. #10615431	C₂	semidirect
6. #10613447	C₂	semidirect
7. #10613440	C₂	semidirect
8. #10613414	C₂	semidirect
9. #10613408	C₂	semidirect
10. #10613372	C₂	semidirect
11. #10613365	C₂	semidirect
12. #10612962	C₂	semidirect
13. #10612951	C₂	semidirect
14. #10612898	C₂	semidirect
15. #10612882	C₂	semidirect
16. #10612792	C₂	semidirect
17. #10612782	C₂	semidirect
18. #10612329	C₂	semidirect
19. #10612329	C₂	semidirect
20. #10612318	C₂	semidirect
21. #10612311	C₂	semidirect
22. #10612114	C₂	semidirect
23. #10612103	C₂	semidirect
24. #10611716	C₂	semidirect
25. #10611693	C₂	semidirect
26. #10611560	C₂	semidirect
27. #10611548	C₂	semidirect
28. #10611505	C₂	semidirect
29. #10611485	C₂	semidirect
30. C₄×#4061	C₂	semidirect
31. #10611355	C₂	semidirect
493. #3371	D₅	semidirect
538. Q₈×D₅	#41	semidirect
1594. C₅	#61320	semidirect

Maximal subgroups

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

subgroup	index
#10618950	2
D₅×#557	2
C₅×#3371	2
#10615449	2
#10615431	2
#10613447	2
#10613440	2
#10613414	2
#10613408	2
#10613372	2
#10613365	2
#10612962	2
#10612951	2
#10612898	2
#10612882	2
#10612792	2
#10612782	2
#10612329	2
#10612318	2
#10612311	2
#10612114	2
#10612103	2
#10611716	2
#10611693	2
#10611560	2
#10611548	2
#10611505	2
#10611485	2
C₄×#4061	2
#10611355	2
#61320	5