Subgroups — D₅×#2462 #12267284

Order 1280.

2486 conjugacy classes of subgroups.

The subgroup lattice has 1444 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₅×#125	C₂	1	1	yes	maximal, characteristic
2	C₂×C₄×Q₈×D₅	C₂	1	1	yes	maximal, characteristic
3	C₅×#2462	C₂	1	1	yes	maximal, characteristic, complemented
4	#10614762	C₂	1	1	yes	maximal, characteristic, complemented
5	#10614203	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#398	C₂	1	1	yes	maximal, characteristic
7	D₅×#398	C₂	1	1	yes	maximal, characteristic
8	#10609483	C₂	1	1	yes	maximal, characteristic, complemented
9	#10609482	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#395	C₂	1	1	yes	maximal, characteristic
11	D₅×#395	C₂	1	1	yes	maximal, characteristic
12	#10608909	C₂	1	1	yes	maximal, characteristic, complemented
13	#10608908	C₂	1	1	yes	maximal, characteristic, complemented
14	D₅×#389	C₂	1	1	yes	maximal, characteristic
15	D₅×#389	C₂	1	1	yes	maximal, characteristic
16	#10607749	C₂	1	1	yes	maximal, characteristic, complemented
17	#10607748	C₂	1	1	yes	maximal, characteristic, complemented
18	D₅×#387	C₂	1	1	yes	maximal, characteristic
19	D₅×#387	C₂	1	1	yes	maximal, characteristic
20	D₅×#387	C₂	1	1	yes	maximal, characteristic
21	D₅×#387	C₂	1	1	yes	maximal, characteristic
22	D₅×#387	C₂	1	1	yes	maximal, characteristic
23	D₅×#387	C₂	1	1	yes	maximal, characteristic
24	#10606729	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606728	C₂	1	1	yes	maximal, characteristic, complemented
26	#10606727	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606726	C₂	1	1	yes	maximal, characteristic, complemented
28	#10606725	C₂	1	1	yes	maximal, characteristic, complemented
29	#10606724	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic
31	#10605409	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₅	C₂²	1	1	yes	characteristic
33	C₂×C₅×#125	C₂²	1	1	yes	characteristic
34	C₂×C₄×C₅×Q₈	C₂²	1	1	yes	characteristic
35	C₂×Q₈×Dic₅	C₂²	1	1	yes	characteristic
36	D₅×#125	—	2	8	no	—
37	C₄×Q₈×D₅	—	2	8	no	—
38	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
39	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
40	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
41	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	C₂×#4036	C₂²	1	1	yes	characteristic
54	C₂×#4036	C₂²	1	1	yes	characteristic
55	C₂×#4035	C₂²	1	1	yes	characteristic
56	C₂×#4035	C₂²	1	1	yes	characteristic
57	C₂×#4035	C₂²	1	1	yes	characteristic
58	C₂×#4035	C₂²	1	1	yes	characteristic
59	C₂×#4033	C₂²	1	1	yes	characteristic
60	C₂×#4033	C₂²	1	1	yes	characteristic
61	C₂×#4033	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
63	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
64	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
65	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
66	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
67	C₂×#4016	C₂²	1	1	yes	characteristic
68	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
69	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
70	C₂×C₄×Dic₁₀	C₂²	1	1	yes	characteristic
71	C₅×#398	C₂²	1	1	yes	characteristic
72	C₅×#398	C₂²	1	1	yes	characteristic
73	C₅×#395	C₂²	1	1	yes	characteristic
74	C₅×#395	C₂²	1	1	yes	characteristic
75	C₅×#389	C₂²	1	1	yes	characteristic
76	C₅×#389	C₂²	1	1	yes	characteristic
77	C₅×#387	C₂²	1	1	yes	characteristic
78	C₅×#387	C₂²	1	1	yes	characteristic
79	C₅×#387	C₂²	1	1	yes	characteristic
80	C₅×#387	C₂²	1	1	yes	characteristic
81	C₅×#387	C₂²	1	1	yes	characteristic
82	C₅×#387	C₂²	1	1	yes	characteristic
83	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
84	#65518	C₂²	1	1	yes	characteristic
85	#65518	C₂²	1	1	yes	characteristic
86	#65274	C₂²	1	1	yes	characteristic
87	#65274	C₂²	1	1	yes	characteristic
88	#65273	C₂²	1	1	yes	characteristic
89	#65273	C₂²	1	1	yes	characteristic
90	#65273	C₂²	1	1	yes	characteristic
91	#65273	C₂²	1	1	yes	characteristic
92	#65272	C₂²	1	1	yes	characteristic
93	#65272	C₂²	1	1	yes	characteristic
94	#65270	C₂²	1	1	yes	characteristic
95	#65270	C₂²	1	1	yes	characteristic
96	#65270	C₂²	1	1	yes	characteristic
97	#65270	C₂²	1	1	yes	characteristic
98	#65270	C₂²	1	1	yes	characteristic
99	#65270	C₂²	1	1	yes	characteristic
100	#65269	C₂²	1	1	yes	characteristic
101	#65269	C₂²	1	1	yes	characteristic
102	#65268	C₂²	1	1	yes	characteristic
103	#65268	C₂²	1	1	yes	characteristic
104	#65268	C₂²	1	1	yes	characteristic
105	#65268	C₂²	1	1	yes	characteristic
106	#65268	C₂²	1	1	yes	characteristic
107	#65268	C₂²	1	1	yes	characteristic
108	#65267	C₂²	1	1	yes	characteristic
109	#65267	C₂²	1	1	yes	characteristic
110	#65267	C₂²	1	1	yes	characteristic
111	#65267	C₂²	1	1	yes	characteristic
112	#65267	C₂²	1	1	yes	characteristic
113	#65267	C₂²	1	1	yes	characteristic
114	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
115	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic
116	#65262	C₂²	1	1	yes	characteristic
117	#65262	C₂²	1	1	yes	characteristic
118	#65261	C₂²	1	1	yes	characteristic
119	#65261	C₂²	1	1	yes	characteristic
120	#65261	C₂²	1	1	yes	characteristic
121	#65261	C₂²	1	1	yes	characteristic
122	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic
123	#65222	C₂²	1	1	yes	characteristic
124	#65222	C₂²	1	1	yes	characteristic
125	#65222	C₂²	1	1	yes	characteristic
126	#65222	C₂²	1	1	yes	characteristic
127	#65222	C₂²	1	1	yes	characteristic
128	#65222	C₂²	1	1	yes	characteristic
129	C₄×#683	C₂²	1	1	yes	characteristic
130	C₄×#683	C₂²	1	1	yes	characteristic
131	#65217	C₂²	1	1	yes	characteristic
132	#65217	C₂²	1	1	yes	characteristic
133	D₅×#95	C₂²	1	1	yes	characteristic
134	D₅×#95	C₂²	1	1	yes	characteristic
135	D₅×#95	C₂²	1	1	yes	characteristic
136	D₅×#95	C₂²	1	1	yes	characteristic
137	D₅×#95	C₂²	1	1	yes	characteristic
138	D₅×#95	C₂²	1	1	yes	characteristic
139	D₅×#95	C₂²	1	1	yes	characteristic
140	D₅×#95	C₂²	1	1	yes	characteristic
141	D₅×#95	C₂²	1	1	yes	characteristic
142	D₅×#95	C₂²	1	1	yes	characteristic
143	D₅×#95	C₂²	1	1	yes	characteristic
144	D₅×#95	C₂²	1	1	yes	characteristic
145	D₅×#95	C₂²	1	1	yes	characteristic
146	D₅×#95	C₂²	1	1	yes	characteristic
147	#64950	C₂²	1	1	yes	characteristic
148	#64950	C₂²	1	1	yes	characteristic
149	#64946	C₂²	1	1	yes	characteristic
150	#64946	C₂²	1	1	yes	characteristic
151	#64946	C₂²	1	1	yes	characteristic
152	#64946	C₂²	1	1	yes	characteristic
153	#64945	C₂²	1	1	yes	characteristic
154	#64945	C₂²	1	1	yes	characteristic
155	#64945	C₂²	1	1	yes	characteristic
156	#64945	C₂²	1	1	yes	characteristic
157	#64945	C₂²	1	1	yes	characteristic
158	#64945	C₂²	1	1	yes	characteristic
159	#64944	C₂²	1	1	yes	characteristic
160	#64944	C₂²	1	1	yes	characteristic
161	#64944	C₂²	1	1	yes	characteristic
162	#64944	C₂²	1	1	yes	characteristic
163	#64944	C₂²	1	1	yes	characteristic
164	#64944	C₂²	1	1	yes	characteristic
165	#64943	C₂²	1	1	yes	characteristic
166	#64943	C₂²	1	1	yes	characteristic
167	#64943	C₂²	1	1	yes	characteristic
168	#64943	C₂²	1	1	yes	characteristic
169	#64943	C₂²	1	1	yes	characteristic
170	#64943	C₂²	1	1	yes	characteristic
171	#64942	C₂²	1	1	yes	characteristic
172	#64942	C₂²	1	1	yes	characteristic
173	#64942	C₂²	1	1	yes	characteristic
174	#64942	C₂²	1	1	yes	characteristic
175	#64942	C₂²	1	1	yes	characteristic
176	#64942	C₂²	1	1	yes	characteristic
177	#64941	C₂²	1	1	yes	characteristic
178	#64941	C₂²	1	1	yes	characteristic
179	#64941	C₂²	1	1	yes	characteristic
180	#64941	C₂²	1	1	yes	characteristic
181	#64941	C₂²	1	1	yes	characteristic
182	#64941	C₂²	1	1	yes	characteristic
183	#64938	C₂²	1	1	yes	characteristic
184	#64938	C₂²	1	1	yes	characteristic
185	#64936	C₂²	1	1	yes	characteristic
186	#64936	C₂²	1	1	yes	characteristic
187	#64936	C₂²	1	1	yes	characteristic
188	#64936	C₂²	1	1	yes	characteristic
189	C₂×#2462	—	5	1	no	maximal, Sylow
190	C₂²×C₅×Q₈	C₂³	1	1	yes	characteristic
191	C₂×Q₈×D₅	—	2	4	no	—
192	C₂×Q₈×D₅	—	2	4	no	—
193	C₂×Q₈×D₅	—	2	4	no	—
194	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
195	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
209	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
210	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
211	C₂²×Dic₁₀	C₂³	1	1	yes	characteristic
212	C₅×#125	—	2	4	no	—
213	C₄×C₅×Q₈	—	2	4	no	—
214	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
234	Q₈×Dic₅	—	2	4	no	—
235	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
250	C₂×#683	C₂³	1	1	yes	characteristic
251	C₂×#683	C₂³	1	1	yes	characteristic
252	C₂×#683	C₂³	1	1	yes	characteristic
253	C₂×#683	C₂³	1	1	yes	characteristic
254	C₂×#683	C₂³	1	1	yes	characteristic
255	C₂×#683	C₂³	1	1	yes	characteristic
256	C₂×#683	C₂³	1	1	yes	characteristic
257	C₂×#683	C₂³	1	1	yes	characteristic
258	C₂×#683	C₂³	1	1	yes	characteristic
259	C₂×#683	C₂³	1	1	yes	characteristic
260	C₂×#683	C₂³	1	1	yes	characteristic
261	C₂×#683	C₂³	1	1	yes	characteristic
262	C₂×#683	C₂³	1	1	yes	characteristic
263	C₂×#683	C₂³	1	1	yes	characteristic
264	C₂×#683	C₂³	1	1	yes	characteristic
265	C₂×#683	C₂³	1	1	yes	characteristic
266	C₂×#683	C₂³	1	1	yes	characteristic
267	C₂×#683	C₂³	1	1	yes	characteristic
268	C₂×#683	C₂³	1	1	yes	characteristic
269	C₂×#683	C₂³	1	1	yes	characteristic
270	C₂×#683	C₂³	1	1	yes	characteristic
271	C₂×#683	C₂³	1	1	yes	characteristic
272	C₂×#683	C₂³	1	1	yes	characteristic
273	C₂×#683	C₂³	1	1	yes	characteristic
274	C₂×#683	C₂³	1	1	yes	characteristic
275	C₂×#683	C₂³	1	1	yes	characteristic
276	C₂×#683	C₂³	1	1	yes	characteristic
277	C₂×#683	C₂³	1	1	yes	characteristic
278	C₂×#683	C₂³	1	1	yes	characteristic
279	C₂×#683	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
295	D₅×C₄⋊C₄	—	2	4	no	—
296	D₅×C₄⋊C₄	—	2	4	no	—
297	D₅×C₄⋊C₄	—	2	4	no	—
298	D₅×C₄⋊C₄	—	2	4	no	—
299	D₅×C₄⋊C₄	—	2	4	no	—
300	D₅×C₄⋊C₄	—	2	4	no	—
301	D₅×C₄⋊C₄	—	2	4	no	—
302	D₅×C₄⋊C₄	—	2	4	no	—
303	D₅×C₄⋊C₄	—	2	4	no	—
304	D₅×C₄⋊C₄	—	2	4	no	—
305	D₅×C₄⋊C₄	—	2	4	no	—
306	D₅×C₄⋊C₄	—	2	4	no	—
307	D₅×C₄⋊C₄	—	2	4	no	—
308	D₅×C₄⋊C₄	D₄	1	8	yes	—
309	D₅×C₄⋊C₄	Q₈	1	8	yes	complemented
310	#4036	—	2	4	no	—
311	#4036	—	2	4	no	—
312	#4035	—	2	4	no	—
313	#4035	—	2	4	no	—
314	#4035	—	2	4	no	—
315	#4035	—	2	4	no	—
316	#4033	—	2	4	no	—
317	#4033	—	2	4	no	—
318	#4033	—	2	4	no	—
319	C₄²×D₅	—	2	4	no	—
320	C₄²×D₅	—	2	4	no	—
321	C₄²×D₅	—	2	4	no	—
322	C₄²×D₅	—	2	4	no	—
323	C₄²×D₅	—	2	4	no	—
324	#4016	—	2	4	no	—
325	C₄×Dic₁₀	—	2	4	no	—
326	C₄×Dic₁₀	—	2	4	no	—
327	C₄×Dic₁₀	—	2	4	no	—
328	C₅×#95	C₂³	1	1	yes	characteristic
329	C₅×#95	C₂³	1	1	yes	characteristic
330	C₅×#95	C₂³	1	1	yes	characteristic
331	C₅×#95	C₂³	1	1	yes	characteristic
332	C₅×#95	C₂³	1	1	yes	characteristic
333	C₅×#95	C₂³	1	1	yes	characteristic
334	C₅×#95	C₂³	1	1	yes	characteristic
335	C₅×#95	C₂³	1	1	yes	characteristic
336	C₅×#95	C₂³	1	1	yes	characteristic
337	C₅×#95	C₂³	1	1	yes	characteristic
338	C₅×#95	C₂³	1	1	yes	characteristic
339	C₅×#95	C₂³	1	1	yes	characteristic
340	C₅×#95	C₂³	1	1	yes	characteristic
341	C₅×#95	C₂³	1	1	yes	characteristic
342	#3963	C₂³	1	1	yes	characteristic
343	#3963	C₂³	1	1	yes	characteristic
344	#3963	C₂³	1	1	yes	characteristic
345	#3963	C₂³	1	1	yes	characteristic
346	#3963	C₂³	1	1	yes	characteristic
347	#3963	C₂³	1	1	yes	characteristic
348	#3963	C₂³	1	1	yes	characteristic
349	#3963	C₂³	1	1	yes	characteristic
350	#3963	C₂³	1	1	yes	characteristic
351	#3963	C₂³	1	1	yes	characteristic
352	#3963	C₂³	1	1	yes	characteristic
353	#3963	C₂³	1	1	yes	characteristic
354	#3963	C₂³	1	1	yes	characteristic
355	#3963	C₂³	1	1	yes	characteristic
356	#3963	C₂³	1	1	yes	characteristic
357	#3963	C₂³	1	1	yes	characteristic
358	#3963	C₂³	1	1	yes	characteristic
359	#3963	C₂³	1	1	yes	characteristic
360	#3963	C₂³	1	1	yes	characteristic
361	#3963	C₂³	1	1	yes	characteristic
362	#3963	C₂³	1	1	yes	characteristic
363	#3963	C₂³	1	1	yes	characteristic
364	#3963	C₂³	1	1	yes	characteristic
365	#3963	C₂³	1	1	yes	characteristic
366	#3963	C₂³	1	1	yes	characteristic
367	#3963	C₂³	1	1	yes	characteristic
368	#3963	C₂³	1	1	yes	characteristic
369	#3963	C₂³	1	1	yes	characteristic
370	#3963	C₂³	1	1	yes	characteristic
371	#3963	C₂³	1	1	yes	characteristic
372	#3963	C₂³	1	1	yes	characteristic
373	#3963	C₂³	1	1	yes	characteristic
374	#3963	C₂³	1	1	yes	characteristic
375	#3963	C₂³	1	1	yes	characteristic
376	#3963	C₂³	1	1	yes	characteristic
377	#3963	C₂³	1	1	yes	characteristic
378	#3963	C₂³	1	1	yes	characteristic
379	#3963	C₂³	1	1	yes	characteristic
380	#3963	C₂³	1	1	yes	characteristic
381	#3963	C₂³	1	1	yes	characteristic
382	#3963	C₂³	1	1	yes	characteristic
383	#3963	C₂³	1	1	yes	characteristic
384	C₂²×#125	—	5	1	no	—
385	C₂²×C₄×Q₈	—	5	1	no	—
386	#2462	—	5	1	no	—
387	#2462	—	5	1	no	—
388	#2462	—	5	1	no	—
389	#2462	—	5	1	no	—
390	#2462	—	5	1	no	—
391	#2462	—	5	1	no	—
392	#2462	—	5	1	no	—
393	#2462	—	5	1	no	—
394	#2462	—	5	1	no	—
395	#2462	—	5	1	no	—
396	#2462	—	5	1	no	—
397	#2462	—	5	1	no	—
398	#2462	—	5	1	no	—
399	#2462	—	5	1	no	—
400	#2462	—	5	1	no	—
401	#2462	D₅	1	1	yes	characteristic, direct product factor
402	C₂×#398	—	5	1	no	—
403	C₂×#398	—	5	1	no	—
404	C₂×#395	—	5	1	no	—
405	C₂×#395	—	5	1	no	—
406	C₂×#389	—	5	1	no	—
407	C₂×#389	—	5	1	no	—
408	C₂×#387	—	5	1	no	—
409	C₂×#387	—	5	1	no	—
410	C₂×#387	—	5	1	no	—
411	C₂×#387	—	5	1	no	—
412	C₂×#387	—	5	1	no	—
413	C₂×#387	—	5	1	no	—
414	C₂×C₄×C₄⋊C₄	—	5	1	no	—
415	C₂³×D₅	C₂⁴	1	1	yes	characteristic
416	C₂×C₅×Q₈	—	2	2	no	—
417	C₂×C₅×Q₈	—	2	2	no	—
418	C₂×C₅×Q₈	—	2	2	no	—
419	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
433	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
440	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
441	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
449	Q₈×D₅	—	2	32	no	—
450	C₂×C₄×D₅	—	2	2	no	—
451	C₂×C₄×D₅	—	2	2	no	—
452	C₂×C₄×D₅	—	2	2	no	—
453	C₂×C₄×D₅	—	2	2	no	—
454	C₂×C₄×D₅	—	2	2	no	—
455	C₂×C₄×D₅	—	2	2	no	—
456	C₂×C₄×D₅	—	2	2	no	—
457	C₂×C₄×D₅	—	2	2	no	—
458	C₂×C₄×D₅	—	2	2	no	—
459	C₂×C₄×D₅	—	2	2	no	—
460	C₂×C₄×D₅	—	2	2	no	—
461	C₂×C₄×D₅	—	2	2	no	—
462	C₂×C₄×D₅	—	2	2	no	—
463	C₂×C₄×D₅	—	2	2	no	—
464	C₂×C₄×D₅	—	2	2	no	—
465	C₂×C₄×D₅	—	2	2	no	—
466	C₂×C₄×D₅	—	2	2	no	—
467	C₂×C₄×D₅	—	2	2	no	—
468	C₂×C₄×D₅	—	2	2	no	—
469	C₂×C₄×D₅	—	2	2	no	—
470	C₂×C₄×D₅	—	2	2	no	—
471	C₂×C₄×D₅	—	2	2	no	—
472	C₂×C₄×D₅	—	2	2	no	—
473	C₂×C₄×D₅	—	2	2	no	—
474	C₂×C₄×D₅	—	2	2	no	—
475	C₂×C₄×D₅	—	2	2	no	—
476	C₂×C₄×D₅	—	2	2	no	—
477	C₂×C₄×D₅	—	2	2	no	—
478	C₂×C₄×D₅	—	2	2	no	—
479	C₂×C₄×D₅	—	2	2	no	—
480	C₂×C₄×D₅	—	2	2	no	—
481	C₂×C₄×D₅	—	2	2	no	—
482	C₂×C₄×D₅	—	2	2	no	—
483	C₂×C₄×D₅	—	2	2	no	—
484	C₂×C₄×D₅	—	2	2	no	—
485	C₂×C₄×D₅	—	2	2	no	—
486	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
487	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
488	C₂×C₄×D₅	C₂×D₄	1	4	yes	—
489	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
490	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
491	C₂×C₄×D₅	C₂×Q₈	1	4	yes	—
492	C₂×C₄×D₅	#41	1	4	yes	—
493	C₂×C₄×D₅	#41	1	4	yes	—
494	C₂×C₄×D₅	#41	1	4	yes	—
495	C₂×Dic₁₀	—	2	2	no	—
496	C₂×Dic₁₀	—	2	2	no	—
497	C₂×Dic₁₀	—	2	2	no	—
498	C₂×Dic₁₀	—	2	2	no	—
499	C₂×Dic₁₀	—	2	2	no	—
500	C₂×Dic₁₀	—	2	2	no	—
501	C₂×Dic₁₀	—	2	2	no	—
502	C₂×Dic₁₀	—	2	2	no	—
503	C₂×Dic₁₀	—	2	2	no	—
504	C₅×C₄⋊C₄	—	2	2	no	—
505	C₅×C₄⋊C₄	—	2	2	no	—
506	C₅×C₄⋊C₄	—	2	2	no	—
507	C₅×C₄⋊C₄	—	2	2	no	—
508	C₅×C₄⋊C₄	—	2	2	no	—
509	C₅×C₄⋊C₄	—	2	2	no	—
510	C₅×C₄⋊C₄	—	2	2	no	—
511	C₅×C₄⋊C₄	—	2	2	no	—
512	C₅×C₄⋊C₄	—	2	2	no	—
513	C₅×C₄⋊C₄	—	2	2	no	—
514	C₅×C₄⋊C₄	—	2	2	no	—
515	C₅×C₄⋊C₄	—	2	2	no	—
516	C₅×C₄⋊C₄	—	2	2	no	—
517	C₅×C₄⋊C₄	C₂×D₄	1	4	yes	—
518	C₅×C₄⋊C₄	C₂×Q₈	1	4	yes	complemented
519	C₄²×C₅	—	2	2	no	—
520	C₄²×C₅	—	2	2	no	—
521	C₄²×C₅	—	2	2	no	—
522	C₄²×C₅	—	2	2	no	—
523	C₄²×C₅	—	2	2	no	—
524	C₄⋊Dic₅	—	2	2	no	—
525	C₄⋊Dic₅	—	2	2	no	—
526	C₄⋊Dic₅	—	2	2	no	—
527	C₄⋊Dic₅	—	2	2	no	—
528	C₄⋊Dic₅	—	2	2	no	—
529	C₄⋊Dic₅	—	2	2	no	—
530	C₄⋊Dic₅	—	2	2	no	—
531	C₄⋊Dic₅	—	2	2	no	—
532	C₄⋊Dic₅	—	2	2	no	—
533	C₄⋊Dic₅	—	2	2	no	—
534	C₄⋊Dic₅	—	2	2	no	—
535	C₄⋊Dic₅	—	2	2	no	—
536	C₄⋊Dic₅	—	2	2	no	—
537	C₄⋊Dic₅	C₂×D₄	1	4	yes	—
538	C₄⋊Dic₅	C₂×Q₈	1	4	yes	complemented
539	#683	—	2	2	no	—
540	#683	—	2	2	no	—
541	#683	—	2	2	no	—
542	#683	—	2	2	no	—
543	#683	—	2	2	no	—
544	#683	—	2	2	no	—
545	#683	—	2	2	no	—
546	#683	—	2	2	no	—
547	#683	—	2	2	no	—
548	#683	—	2	2	no	—
549	#683	—	2	2	no	—
550	#683	—	2	2	no	—
551	#683	—	2	2	no	—
552	#683	—	2	2	no	—
553	#683	—	2	2	no	—
554	#683	—	2	2	no	—
555	#683	—	2	2	no	—
556	#683	—	2	2	no	—
557	#683	—	2	2	no	—
558	#683	—	2	2	no	—
559	#683	—	2	2	no	—
560	#683	—	2	2	no	—
561	#683	—	2	2	no	—
562	#683	—	2	2	no	—
563	#683	—	2	2	no	—
564	#683	—	2	2	no	—
565	#683	C₂×D₄	1	4	yes	—
566	#683	C₂×D₄	1	4	yes	—
567	#683	C₂×Q₈	1	4	yes	complemented
568	#683	C₂×Q₈	1	4	yes	complemented
569	C₄×Dic₅	—	2	2	no	—
570	C₄×Dic₅	—	2	2	no	—
571	C₄×Dic₅	—	2	2	no	—
572	C₄×Dic₅	—	2	2	no	—
573	C₄×Dic₅	—	2	2	no	—
574	C₄×Dic₅	—	2	2	no	—
575	C₄×Dic₅	—	2	2	no	—
576	C₄×Dic₅	—	2	2	no	—
577	C₄×Dic₅	—	2	2	no	—
578	C₄×Dic₅	—	2	2	no	—
579	C₄×Dic₅	—	2	2	no	—
580	C₄×Dic₅	—	2	2	no	—
581	C₄×Dic₅	—	2	2	no	—
582	C₄×Dic₅	—	2	2	no	—
583	C₄×Dic₅	—	2	2	no	—
584	C₂³×Q₈	—	5	1	no	—
585	C₂×#125	—	5	1	no	—
586	C₂×#125	—	5	1	no	—
587	C₂×#125	—	5	1	no	—
588	C₂×#125	—	5	1	no	—
589	C₂×#125	—	5	1	no	—
590	C₂×#125	—	5	1	no	—
591	C₂×#125	—	5	1	no	—
592	C₂×#125	—	10	8	no	—
593	C₂×#125	C₂×D₅	1	1	yes	characteristic
594	C₂×C₄×Q₈	—	5	1	no	—
595	C₂×C₄×Q₈	—	5	1	no	—
596	C₂×C₄×Q₈	—	5	1	no	—
597	C₂×C₄×Q₈	—	5	1	no	—
598	C₂×C₄×Q₈	—	5	1	no	—
599	C₂×C₄×Q₈	—	5	1	no	—
600	C₂×C₄×Q₈	—	5	1	no	—
601	C₂×C₄×Q₈	—	10	8	no	—
602	C₂×C₄×Q₈	C₂×D₅	1	1	yes	characteristic
603	C₂²×C₄⋊C₄	—	5	1	no	—
604	C₂²×C₄⋊C₄	—	5	1	no	—
605	C₂²×C₄⋊C₄	—	5	1	no	—
606	C₂²×C₄⋊C₄	—	5	1	no	—
607	C₂²×C₄⋊C₄	—	5	1	no	—
608	C₂²×C₄⋊C₄	—	5	1	no	—
609	C₂²×C₄⋊C₄	—	5	1	no	—
610	C₂²×C₄⋊C₄	—	5	1	no	—
611	C₂²×C₄⋊C₄	—	5	1	no	—
612	C₂²×C₄⋊C₄	—	5	1	no	—
613	C₂²×C₄⋊C₄	—	5	1	no	—
614	C₂²×C₄⋊C₄	—	5	1	no	—
615	C₂²×C₄⋊C₄	—	5	1	no	—
616	C₂²×C₄⋊C₄	—	5	1	no	—
617	C₂²×C₄⋊C₄	—	5	1	no	—
618	C₂²×C₄²	—	5	1	no	—
619	C₂²×C₄²	—	5	1	no	—
620	C₂²×C₄²	—	5	1	no	—
621	C₂²×C₄²	—	5	1	no	—
622	C₂²×C₄²	—	5	1	no	—
623	#398	—	5	1	no	—
624	#398	—	5	1	no	—
625	#398	—	5	1	no	—
626	#398	—	5	1	no	—
627	#398	—	5	1	no	—
628	#398	—	5	1	no	—
629	#398	—	5	1	no	—
630	#398	—	5	1	no	—
631	#398	—	5	1	no	—
632	#398	—	5	1	no	—
633	#398	—	5	1	no	—
634	#398	—	5	1	no	—
635	#398	—	5	1	no	—
636	#398	—	5	1	no	—
637	#398	C₂×D₅	1	1	yes	characteristic
638	#398	C₂×D₅	1	1	yes	characteristic
639	#395	—	5	1	no	—
640	#395	—	5	1	no	—
641	#395	—	5	1	no	—
642	#395	—	5	1	no	—
643	#395	—	5	1	no	—
644	#395	—	5	1	no	—
645	#395	—	5	1	no	—
646	#395	—	5	1	no	—
647	#395	—	5	1	no	—
648	#395	—	5	1	no	—
649	#395	—	5	1	no	—
650	#395	—	5	1	no	—
651	#395	—	5	1	no	—
652	#395	—	5	1	no	—
653	#395	C₂×D₅	1	1	yes	characteristic
654	#395	C₂×D₅	1	1	yes	characteristic
655	#389	—	5	1	no	—
656	#389	—	5	1	no	—
657	#389	—	5	1	no	—
658	#389	—	5	1	no	—
659	#389	—	5	1	no	—
660	#389	—	5	1	no	—
661	#389	—	5	1	no	—
662	#389	—	5	1	no	—
663	#389	—	5	1	no	—
664	#389	—	5	1	no	—
665	#389	—	5	1	no	—
666	#389	—	5	1	no	—
667	#389	—	5	1	no	—
668	#389	—	5	1	no	—
669	#389	C₂×D₅	1	1	yes	characteristic
670	#389	C₂×D₅	1	1	yes	characteristic
671	#387	—	5	1	no	—
672	#387	—	5	1	no	—
673	#387	—	5	1	no	—
674	#387	—	5	1	no	—
675	#387	—	5	1	no	—
676	#387	—	5	1	no	—
677	#387	—	5	1	no	—
678	#387	—	5	1	no	—
679	#387	—	5	1	no	—
680	#387	—	5	1	no	—
681	#387	—	5	1	no	—
682	#387	—	5	1	no	—
683	#387	—	5	1	no	—
684	#387	—	5	1	no	—
685	#387	—	5	1	no	—
686	#387	—	5	1	no	—
687	#387	—	5	1	no	—
688	#387	—	5	1	no	—
689	#387	—	5	1	no	—
690	#387	—	5	1	no	—
691	#387	—	5	1	no	—
692	#387	—	5	1	no	—
693	#387	—	5	1	no	—
694	#387	—	5	1	no	—
695	#387	—	5	1	no	—
696	#387	—	5	1	no	—
697	#387	—	5	1	no	—
698	#387	—	5	1	no	—
699	#387	—	5	1	no	—
700	#387	—	5	1	no	—
701	#387	—	5	1	no	—
702	#387	—	5	1	no	—
703	#387	—	5	1	no	—
704	#387	—	5	1	no	—
705	#387	—	5	1	no	—
706	#387	—	5	1	no	—
707	#387	—	5	1	no	—
708	#387	—	5	1	no	—
709	#387	—	5	1	no	—
710	#387	—	5	1	no	—
711	#387	—	5	1	no	—
712	#387	—	5	1	no	—
713	#387	C₂×D₅	1	1	yes	characteristic
714	#387	C₂×D₅	1	1	yes	characteristic
715	#387	C₂×D₅	1	1	yes	characteristic
716	#387	C₂×D₅	1	1	yes	characteristic
717	#387	C₂×D₅	1	1	yes	characteristic
718	#387	C₂×D₅	1	1	yes	characteristic
719	C₄×C₄⋊C₄	—	5	1	no	—
720	C₄×C₄⋊C₄	—	5	1	no	—
721	C₄×C₄⋊C₄	—	5	1	no	—
722	C₄×C₄⋊C₄	—	5	1	no	—
723	C₄×C₄⋊C₄	—	5	1	no	—
724	C₄×C₄⋊C₄	—	5	1	no	—
725	C₄×C₄⋊C₄	—	5	1	no	—
726	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic
727	C₂×#95	—	5	1	no	—
728	C₂×#95	—	5	1	no	—
729	C₂×#95	—	5	1	no	—
730	C₂×#95	—	5	1	no	—
731	C₂×#95	—	5	1	no	—
732	C₂×#95	—	5	1	no	—
733	C₂×#95	—	5	1	no	—
734	C₂×#95	—	5	1	no	—
735	C₂×#95	—	5	1	no	—
736	C₂×#95	—	5	1	no	—
737	C₂×#95	—	5	1	no	—
738	C₂×#95	—	5	1	no	—
739	C₂×#95	—	5	1	no	—
740	C₂×#95	—	5	1	no	—
741	C₂³×C₅	C₂⁵	1	1	yes	characteristic
742	C₂²×D₅	C₂²×D₄	1	2	yes	—
743	C₂²×D₅	C₂²×Q₈	1	2	yes	—
744	C₂²×D₅	C₂×#41	1	2	yes	—
745	C₂²×D₅	C₂×#41	1	2	yes	—
746	C₂²×D₅	C₂×#41	1	2	yes	—
747	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
748	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
749	C₅×Q₈	—	2	8	no	—
750	C₂×C₄×C₅	—	2	1	no	—
751	C₂×C₄×C₅	—	2	1	no	—
752	C₂×C₄×C₅	—	2	1	no	—
753	C₂×C₄×C₅	—	2	1	no	—
754	C₂×C₄×C₅	—	2	1	no	—
755	C₂×C₄×C₅	—	2	1	no	—
756	C₂×C₄×C₅	—	2	1	no	—
757	C₂×C₄×C₅	—	2	1	no	—
758	C₂×C₄×C₅	—	2	1	no	—
759	C₂×C₄×C₅	—	2	1	no	—
760	C₂×C₄×C₅	—	2	1	no	—
761	C₂×C₄×C₅	—	2	1	no	—
762	C₂×C₄×C₅	—	2	1	no	—
763	C₂×C₄×C₅	—	2	1	no	—
764	C₂×C₄×C₅	—	2	1	no	—
765	C₂×C₄×C₅	—	2	1	no	—
766	C₂×C₄×C₅	—	2	1	no	—
767	C₂×C₄×C₅	—	2	1	no	—
768	C₂×C₄×C₅	—	2	1	no	—
769	C₂×C₄×C₅	—	2	1	no	—
770	C₂×C₄×C₅	—	2	1	no	—
771	C₂×C₄×C₅	—	2	1	no	—
772	C₂×C₄×C₅	—	2	1	no	—
773	C₂×C₄×C₅	—	2	1	no	—
774	C₂×C₄×C₅	—	2	1	no	—
775	C₂×C₄×C₅	—	2	1	no	—
776	C₂×C₄×C₅	—	2	1	no	—
777	C₂×C₄×C₅	—	2	1	no	—
778	C₂×C₄×C₅	—	2	1	no	—
779	C₂×C₄×C₅	—	2	1	no	—
780	C₂×C₄×C₅	—	2	1	no	—
781	C₂×C₄×C₅	—	2	1	no	—
782	C₂×C₄×C₅	—	2	1	no	—
783	C₂×C₄×C₅	—	2	1	no	—
784	C₂×C₄×C₅	—	2	1	no	—
785	C₂×C₄×C₅	—	2	1	no	—
786	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
787	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
788	C₂×C₄×C₅	C₂²×D₄	1	2	yes	—
789	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
790	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
791	C₂×C₄×C₅	C₂²×Q₈	1	2	yes	—
792	C₂×C₄×C₅	C₂×#41	1	2	yes	—
793	C₂×C₄×C₅	C₂×#41	1	2	yes	—
794	C₂×C₄×C₅	C₂×#41	1	2	yes	—
795	C₂×Dic₅	—	2	1	no	—
796	C₂×Dic₅	—	2	1	no	—
797	C₂×Dic₅	—	2	1	no	—
798	C₂×Dic₅	—	2	1	no	—
799	C₂×Dic₅	—	2	1	no	—
800	C₂×Dic₅	—	2	1	no	—
801	C₂×Dic₅	—	2	1	no	—
802	C₂×Dic₅	—	2	1	no	—
803	C₂×Dic₅	—	2	1	no	—
804	C₂×Dic₅	—	2	1	no	—
805	C₂×Dic₅	—	2	1	no	—
806	C₂×Dic₅	—	2	1	no	—
807	C₂×Dic₅	—	2	1	no	—
808	C₂×Dic₅	—	2	1	no	—
809	C₂×Dic₅	—	2	1	no	—
810	C₂×Dic₅	—	2	1	no	—
811	C₂×Dic₅	—	2	1	no	—
812	C₂×Dic₅	—	2	1	no	—
813	C₂×Dic₅	—	2	1	no	—
814	C₂×Dic₅	—	2	1	no	—
815	C₂×Dic₅	—	2	1	no	—
816	C₂×Dic₅	—	2	1	no	—
817	C₂×Dic₅	—	2	1	no	—
818	C₂×Dic₅	—	2	1	no	—
819	C₂×Dic₅	—	2	1	no	—
820	C₂×Dic₅	—	2	1	no	—
821	C₂×Dic₅	—	2	1	no	—
822	C₂×Dic₅	—	2	1	no	—
823	C₂×Dic₅	—	2	1	no	—
824	C₂×Dic₅	—	2	1	no	—
825	C₂×Dic₅	—	2	1	no	—
826	C₂×Dic₅	—	2	1	no	—
827	C₂×Dic₅	—	2	1	no	—
828	C₂×Dic₅	—	2	1	no	—
829	C₂×Dic₅	—	2	1	no	—
830	C₂×Dic₅	—	2	1	no	—
831	C₂×Dic₅	C₂²×D₄	1	2	yes	—
832	C₂×Dic₅	C₂²×D₄	1	2	yes	—
833	C₂×Dic₅	C₂²×D₄	1	2	yes	—
834	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
835	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
836	C₂×Dic₅	C₂²×Q₈	1	2	yes	—
837	C₂×Dic₅	C₂×#41	1	2	yes	—
838	C₂×Dic₅	C₂×#41	1	2	yes	—
839	C₂×Dic₅	C₂×#41	1	2	yes	—
840	C₄×D₅	—	2	8	no	—
841	C₄×D₅	—	2	8	no	—
842	C₄×D₅	—	2	8	no	—
843	C₄×D₅	—	2	8	no	—
844	C₄×D₅	—	2	8	no	—
845	C₄×D₅	—	2	8	no	—
846	C₄×D₅	—	2	8	no	—
847	C₄×D₅	—	2	8	no	—
848	C₄×D₅	—	2	8	no	—
849	C₄×D₅	—	4	4	no	—
850	C₄×D₅	—	4	4	no	—
851	C₄×D₅	—	4	4	no	—
852	C₄×D₅	—	4	4	no	—
853	C₄×D₅	—	4	4	no	—
854	C₄×D₅	—	4	4	no	—
855	Dic₁₀	—	2	8	no	—
856	Dic₁₀	—	2	8	no	—
857	Dic₁₀	—	2	8	no	—
858	C₂²×Q₈	—	5	1	no	—
859	C₂²×Q₈	—	5	1	no	—
860	C₂²×Q₈	—	5	1	no	—
861	C₂²×Q₈	—	10	4	no	—
862	C₂²×Q₈	—	10	4	no	—
863	C₂²×Q₈	—	10	4	no	—
864	C₂²×Q₈	C₂²×D₅	1	1	yes	characteristic
865	C₂³×C₄	—	5	1	no	—
866	C₂³×C₄	—	5	1	no	—
867	C₂³×C₄	—	5	1	no	—
868	C₂³×C₄	—	5	1	no	—
869	C₂³×C₄	—	5	1	no	—
870	C₂³×C₄	—	5	1	no	—
871	C₂³×C₄	—	5	1	no	—
872	C₂³×C₄	—	5	1	no	—
873	C₂³×C₄	—	5	1	no	—
874	C₂³×C₄	—	5	1	no	—
875	C₂³×C₄	—	5	1	no	—
876	C₂³×C₄	—	5	1	no	—
877	C₂³×C₄	—	5	1	no	—
878	C₂³×C₄	—	5	1	no	—
879	C₂³×C₄	—	5	1	no	—
880	#125	—	2	4	no	—
881	#125	—	10	4	no	—
882	#125	—	10	4	no	—
883	#125	—	10	4	no	—
884	#125	—	10	4	no	—
885	#125	—	10	4	no	—
886	#125	—	10	4	no	—
887	#125	—	10	4	no	—
888	C₄×Q₈	—	2	4	no	—
889	C₄×Q₈	—	10	4	no	—
890	C₄×Q₈	—	10	4	no	—
891	C₄×Q₈	—	10	4	no	—
892	C₄×Q₈	—	10	4	no	—
893	C₄×Q₈	—	10	4	no	—
894	C₄×Q₈	—	10	4	no	—
895	C₄×Q₈	—	10	4	no	—
896	C₂×C₄⋊C₄	—	5	1	no	—
897	C₂×C₄⋊C₄	—	5	1	no	—
898	C₂×C₄⋊C₄	—	5	1	no	—
899	C₂×C₄⋊C₄	—	5	1	no	—
900	C₂×C₄⋊C₄	—	5	1	no	—
901	C₂×C₄⋊C₄	—	5	1	no	—
902	C₂×C₄⋊C₄	—	5	8	no	—
903	C₂×C₄⋊C₄	—	5	8	no	—
904	C₂×C₄⋊C₄	—	5	1	no	—
905	C₂×C₄⋊C₄	—	5	1	no	—
906	C₂×C₄⋊C₄	—	5	1	no	—
907	C₂×C₄⋊C₄	—	5	1	no	—
908	C₂×C₄⋊C₄	—	5	1	no	—
909	C₂×C₄⋊C₄	—	5	1	no	—
910	C₂×C₄⋊C₄	—	5	1	no	—
911	C₂×C₄⋊C₄	—	5	1	no	—
912	C₂×C₄⋊C₄	—	5	1	no	—
913	C₂×C₄⋊C₄	—	5	1	no	—
914	C₂×C₄⋊C₄	—	5	1	no	—
915	C₂×C₄⋊C₄	—	5	1	no	—
916	C₂×C₄⋊C₄	—	5	1	no	—
917	C₂×C₄⋊C₄	—	5	1	no	—
918	C₂×C₄⋊C₄	—	5	1	no	—
919	C₂×C₄⋊C₄	—	5	1	no	—
920	C₂×C₄⋊C₄	—	5	1	no	—
921	C₂×C₄⋊C₄	—	5	1	no	—
922	C₂×C₄⋊C₄	—	5	1	no	—
923	C₂×C₄⋊C₄	—	5	1	no	—
924	C₂×C₄⋊C₄	—	5	1	no	—
925	C₂×C₄⋊C₄	—	5	1	no	—
926	C₂×C₄⋊C₄	—	5	1	no	—
927	C₂×C₄⋊C₄	—	5	1	no	—
928	C₂×C₄⋊C₄	—	5	1	no	—
929	C₂×C₄⋊C₄	—	5	1	no	—
930	C₂×C₄⋊C₄	—	5	1	no	—
931	C₂×C₄⋊C₄	—	5	1	no	—
932	C₂×C₄⋊C₄	—	5	1	no	—
933	C₂×C₄⋊C₄	—	5	1	no	—
934	C₂×C₄⋊C₄	—	5	1	no	—
935	C₂×C₄⋊C₄	—	5	1	no	—
936	C₂×C₄⋊C₄	—	5	1	no	—
937	C₂×C₄⋊C₄	—	5	1	no	—
938	C₂×C₄⋊C₄	—	5	1	no	—
939	C₂×C₄⋊C₄	—	5	1	no	—
940	C₂×C₄⋊C₄	—	5	1	no	—
941	C₂×C₄⋊C₄	—	5	1	no	—
942	C₂×C₄⋊C₄	—	5	1	no	—
943	C₂×C₄⋊C₄	—	10	4	no	—
944	C₂×C₄⋊C₄	—	10	4	no	—
945	C₂×C₄⋊C₄	—	10	4	no	—
946	C₂×C₄⋊C₄	—	10	4	no	—
947	C₂×C₄⋊C₄	—	10	4	no	—
948	C₂×C₄⋊C₄	—	10	4	no	—
949	C₂×C₄⋊C₄	—	10	4	no	—
950	C₂×C₄⋊C₄	—	10	4	no	—
951	C₂×C₄⋊C₄	—	10	4	no	—
952	C₂×C₄⋊C₄	—	10	4	no	—
953	C₂×C₄⋊C₄	—	10	4	no	—
954	C₂×C₄⋊C₄	—	10	4	no	—
955	C₂×C₄⋊C₄	—	10	4	no	—
956	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
958	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
959	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
960	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
961	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
962	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
963	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
964	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
966	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
967	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
968	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
969	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
970	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
971	C₂×C₄²	—	5	1	no	—
972	C₂×C₄²	—	5	1	no	—
973	C₂×C₄²	—	5	1	no	—
974	C₂×C₄²	—	5	1	no	—
975	C₂×C₄²	—	5	1	no	—
976	C₂×C₄²	—	5	1	no	—
977	C₂×C₄²	—	5	1	no	—
978	C₂×C₄²	—	5	1	no	—
979	C₂×C₄²	—	5	1	no	—
980	C₂×C₄²	—	5	1	no	—
981	C₂×C₄²	—	5	1	no	—
982	C₂×C₄²	—	5	1	no	—
983	C₂×C₄²	—	5	1	no	—
984	C₂×C₄²	—	5	1	no	—
985	C₂×C₄²	—	5	1	no	—
986	C₂×C₄²	—	10	4	no	—
987	C₂×C₄²	—	10	4	no	—
988	C₂×C₄²	—	10	4	no	—
989	C₂×C₄²	—	10	4	no	—
990	C₂×C₄²	—	10	4	no	—
991	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
992	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
993	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
994	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
995	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
996	#95	—	5	1	no	—
997	#95	—	5	1	no	—
998	#95	—	5	1	no	—
999	#95	—	5	1	no	—
1000	#95	—	5	1	no	—
1001	#95	—	5	1	no	—
1002	#95	—	5	1	no	—
1003	#95	—	5	1	no	—
1004	#95	—	5	1	no	—
1005	#95	—	5	1	no	—
1006	#95	—	5	1	no	—
1007	#95	—	5	1	no	—
1008	#95	—	5	1	no	—
1009	#95	—	5	1	no	—
1010	#95	—	5	1	no	—
1011	#95	—	5	1	no	—
1012	#95	—	5	1	no	—
1013	#95	—	5	1	no	—
1014	#95	—	5	1	no	—
1015	#95	—	5	1	no	—
1016	#95	—	5	1	no	—
1017	#95	—	5	1	no	—
1018	#95	—	5	1	no	—
1019	#95	—	5	1	no	—
1020	#95	—	5	1	no	—
1021	#95	—	5	1	no	—
1022	#95	—	5	1	no	—
1023	#95	—	5	1	no	—
1024	#95	—	5	1	no	—
1025	#95	—	5	1	no	—
1026	#95	—	5	1	no	—
1027	#95	—	5	1	no	—
1028	#95	—	5	1	no	—
1029	#95	—	5	1	no	—
1030	#95	—	5	1	no	—
1031	#95	—	5	1	no	—
1032	#95	—	5	1	no	—
1033	#95	—	5	1	no	—
1034	#95	—	5	1	no	—
1035	#95	—	5	1	no	—
1036	#95	—	5	1	no	—
1037	#95	—	5	1	no	—
1038	#95	C₂²×D₅	1	1	yes	characteristic
1039	#95	C₂²×D₅	1	1	yes	characteristic
1040	#95	C₂²×D₅	1	1	yes	characteristic
1041	#95	C₂²×D₅	1	1	yes	characteristic
1042	#95	C₂²×D₅	1	1	yes	characteristic
1043	#95	C₂²×D₅	1	1	yes	characteristic
1044	#95	C₂²×D₅	1	1	yes	characteristic
1045	#95	C₂²×D₅	1	1	yes	characteristic
1046	#95	C₂²×D₅	1	1	yes	characteristic
1047	#95	C₂²×D₅	1	1	yes	characteristic
1048	#95	C₂²×D₅	1	1	yes	characteristic
1049	#95	C₂²×D₅	1	1	yes	characteristic
1050	#95	C₂²×D₅	1	1	yes	characteristic
1051	#95	C₂²×D₅	1	1	yes	characteristic
1052	C₂²×C₅	C₂³×D₄	1	1	yes	characteristic
1053	C₂²×C₅	C₂³×Q₈	1	1	yes	characteristic
1054	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1055	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1056	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1057	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1058	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1059	C₂×D₅	#525	1	4	yes	—
1060	C₂×D₅	#533	1	4	yes	—
1061	C₂×D₅	#541	1	4	yes	—
1062	C₂×D₅	#547	1	4	yes	—
1063	C₂×D₅	D₄×Q₈	1	4	yes	—
1064	C₂×D₅	#552	1	4	yes	—
1065	C₂×D₅	#557	1	4	yes	—
1066	C₄×C₅	—	2	2	no	—
1067	C₄×C₅	—	2	2	no	—
1068	C₄×C₅	—	2	2	no	—
1069	C₄×C₅	—	2	2	no	—
1070	C₄×C₅	—	2	2	no	—
1071	C₄×C₅	—	2	2	no	—
1072	C₄×C₅	—	2	2	no	—
1073	C₄×C₅	—	2	2	no	—
1074	C₄×C₅	—	2	2	no	—
1075	C₄×C₅	—	4	1	no	—
1076	C₄×C₅	—	4	1	no	—
1077	C₄×C₅	—	4	1	no	—
1078	C₄×C₅	—	4	1	no	—
1079	C₄×C₅	—	4	1	no	—
1080	C₄×C₅	—	4	1	no	—
1081	Dic₅	—	2	2	no	—
1082	Dic₅	—	2	2	no	—
1083	Dic₅	—	2	2	no	—
1084	Dic₅	—	2	2	no	—
1085	Dic₅	—	2	2	no	—
1086	Dic₅	—	2	2	no	—
1087	Dic₅	—	2	2	no	—
1088	Dic₅	—	2	2	no	—
1089	Dic₅	—	2	2	no	—
1090	Dic₅	—	4	1	no	—
1091	Dic₅	—	4	1	no	—
1092	Dic₅	—	4	1	no	—
1093	Dic₅	—	4	1	no	—
1094	Dic₅	—	4	1	no	—
1095	Dic₅	—	4	1	no	—
1096	C₂⁴	—	5	1	no	—
1097	C₂×Q₈	—	2	2	no	—
1098	C₂×Q₈	—	2	2	no	—
1099	C₂×Q₈	—	2	2	no	—
1100	C₂×Q₈	—	10	2	no	—
1101	C₂×Q₈	—	10	2	no	—
1102	C₂×Q₈	—	10	2	no	—
1103	C₂×Q₈	—	10	2	no	—
1104	C₂×Q₈	—	10	2	no	—
1105	C₂×Q₈	—	10	2	no	—
1106	C₂×Q₈	—	10	32	no	—
1107	C₂×Q₈	—	10	2	no	—
1108	C₂×Q₈	—	10	2	no	—
1109	C₂×Q₈	—	10	2	no	—
1110	C₂²×C₄	—	5	1	no	—
1111	C₂²×C₄	—	5	1	no	—
1112	C₂²×C₄	—	5	1	no	—
1113	C₂²×C₄	—	5	1	no	—
1114	C₂²×C₄	—	5	1	no	—
1115	C₂²×C₄	—	5	1	no	—
1116	C₂²×C₄	—	5	1	no	—
1117	C₂²×C₄	—	5	1	no	—
1118	C₂²×C₄	—	5	1	no	—
1119	C₂²×C₄	—	5	4	no	—
1120	C₂²×C₄	—	5	4	no	—
1121	C₂²×C₄	—	5	4	no	—
1122	C₂²×C₄	—	5	4	no	—
1123	C₂²×C₄	—	5	4	no	—
1124	C₂²×C₄	—	5	4	no	—
1125	C₂²×C₄	—	5	4	no	—
1126	C₂²×C₄	—	5	4	no	—
1127	C₂²×C₄	—	5	4	no	—
1128	C₂²×C₄	—	5	1	no	—
1129	C₂²×C₄	—	5	1	no	—
1130	C₂²×C₄	—	5	1	no	—
1131	C₂²×C₄	—	5	1	no	—
1132	C₂²×C₄	—	5	1	no	—
1133	C₂²×C₄	—	5	1	no	—
1134	C₂²×C₄	—	10	2	no	—
1135	C₂²×C₄	—	10	2	no	—
1136	C₂²×C₄	—	10	2	no	—
1137	C₂²×C₄	—	10	2	no	—
1138	C₂²×C₄	—	10	2	no	—
1139	C₂²×C₄	—	10	2	no	—
1140	C₂²×C₄	—	10	2	no	—
1141	C₂²×C₄	—	10	2	no	—
1142	C₂²×C₄	—	10	2	no	—
1143	C₂²×C₄	—	10	2	no	—
1144	C₂²×C₄	—	10	2	no	—
1145	C₂²×C₄	—	10	2	no	—
1146	C₂²×C₄	—	10	2	no	—
1147	C₂²×C₄	—	10	2	no	—
1148	C₂²×C₄	—	10	2	no	—
1149	C₂²×C₄	—	10	2	no	—
1150	C₂²×C₄	—	10	2	no	—
1151	C₂²×C₄	—	10	2	no	—
1152	C₂²×C₄	—	10	2	no	—
1153	C₂²×C₄	—	10	2	no	—
1154	C₂²×C₄	—	10	2	no	—
1155	C₂²×C₄	—	10	2	no	—
1156	C₂²×C₄	—	10	2	no	—
1157	C₂²×C₄	—	10	2	no	—
1158	C₂²×C₄	—	10	2	no	—
1159	C₂²×C₄	—	10	2	no	—
1160	C₂²×C₄	—	10	2	no	—
1161	C₂²×C₄	—	10	2	no	—
1162	C₂²×C₄	—	10	2	no	—
1163	C₂²×C₄	—	10	2	no	—
1164	C₂²×C₄	—	10	2	no	—
1165	C₂²×C₄	—	10	2	no	—
1166	C₂²×C₄	—	10	2	no	—
1167	C₂²×C₄	—	10	2	no	—
1168	C₂²×C₄	—	10	2	no	—
1169	C₂²×C₄	—	10	2	no	—
1170	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1171	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1172	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1173	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1174	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1176	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1184	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1185	C₄⋊C₄	—	2	2	no	—
1186	C₄⋊C₄	—	2	2	no	—
1187	C₄⋊C₄	—	2	2	no	—
1188	C₄⋊C₄	—	2	2	no	—
1189	C₄⋊C₄	—	2	2	no	—
1190	C₄⋊C₄	—	2	2	no	—
1191	C₄⋊C₄	—	2	2	no	—
1192	C₄⋊C₄	—	2	2	no	—
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	2	no	—
1197	C₄⋊C₄	—	2	2	no	—
1198	C₄⋊C₄	—	5	4	no	—
1199	C₄⋊C₄	—	5	4	no	—
1200	C₄⋊C₄	—	5	4	no	—
1201	C₄⋊C₄	—	5	4	no	—
1202	C₄⋊C₄	—	5	4	no	—
1203	C₄⋊C₄	—	5	4	no	—
1204	C₄⋊C₄	—	10	2	no	—
1205	C₄⋊C₄	—	10	2	no	—
1206	C₄⋊C₄	—	10	2	no	—
1207	C₄⋊C₄	—	10	2	no	—
1208	C₄⋊C₄	—	10	2	no	—
1209	C₄⋊C₄	—	10	2	no	—
1210	C₄⋊C₄	—	10	2	no	—
1211	C₄⋊C₄	—	10	2	no	—
1212	C₄⋊C₄	—	10	2	no	—
1213	C₄⋊C₄	—	10	2	no	—
1214	C₄⋊C₄	—	10	2	no	—
1215	C₄⋊C₄	—	10	2	no	—
1216	C₄⋊C₄	—	10	2	no	—
1217	C₄⋊C₄	—	10	2	no	—
1218	C₄⋊C₄	—	10	2	no	—
1219	C₄⋊C₄	—	10	2	no	—
1220	C₄⋊C₄	—	10	2	no	—
1221	C₄⋊C₄	—	10	2	no	—
1222	C₄⋊C₄	—	10	2	no	—
1223	C₄⋊C₄	—	10	2	no	—
1224	C₄⋊C₄	—	10	2	no	—
1225	C₄⋊C₄	—	10	2	no	—
1226	C₄⋊C₄	—	10	2	no	—
1227	C₄⋊C₄	—	10	2	no	—
1228	C₄⋊C₄	—	10	2	no	—
1229	C₄⋊C₄	—	10	2	no	—
1230	C₄⋊C₄	—	10	2	no	—
1231	C₄⋊C₄	—	10	2	no	—
1232	C₄⋊C₄	—	10	2	no	—
1233	C₄⋊C₄	—	10	2	no	—
1234	C₄⋊C₄	—	10	2	no	—
1235	C₄⋊C₄	—	10	2	no	—
1236	C₄⋊C₄	—	10	2	no	—
1237	C₄⋊C₄	—	10	2	no	—
1238	C₄⋊C₄	—	10	2	no	—
1239	C₄⋊C₄	—	10	2	no	—
1240	C₄⋊C₄	—	10	2	no	—
1241	C₄⋊C₄	—	10	2	no	—
1242	C₄⋊C₄	—	10	2	no	—
1243	C₄⋊C₄	D₄×D₅	1	4	yes	—
1244	C₄⋊C₄	Q₈×D₅	1	4	yes	complemented
1245	C₄²	—	2	2	no	—
1246	C₄²	—	2	2	no	—
1247	C₄²	—	2	2	no	—
1248	C₄²	—	2	2	no	—
1249	C₄²	—	2	2	no	—
1250	C₄²	—	10	2	no	—
1251	C₄²	—	10	2	no	—
1252	C₄²	—	10	2	no	—
1253	C₄²	—	10	2	no	—
1254	C₄²	—	10	2	no	—
1255	C₄²	—	10	2	no	—
1256	C₄²	—	10	2	no	—
1257	C₄²	—	10	2	no	—
1258	C₄²	—	10	2	no	—
1259	C₄²	—	10	2	no	—
1260	C₄²	—	10	2	no	—
1261	C₄²	—	10	2	no	—
1262	C₄²	—	10	2	no	—
1263	C₄²	—	10	2	no	—
1264	C₄²	—	10	2	no	—
1265	C₂×C₅	C₂×#525	1	1	yes	characteristic
1266	C₂×C₅	C₂×#533	1	1	yes	characteristic
1267	C₂×C₅	C₂×#541	1	1	yes	characteristic
1268	C₂×C₅	C₂×#547	1	1	yes	characteristic
1269	C₂×C₅	C₂×D₄×Q₈	1	1	yes	characteristic
1270	C₂×C₅	C₂×#552	1	1	yes	characteristic
1271	C₂×C₅	C₂×#557	1	1	yes	characteristic
1272	D₅	#2462	1	8	yes	direct product factor
1273	C₂³	—	5	2	no	—
1274	C₂³	—	5	2	no	—
1275	C₂³	—	5	2	no	—
1276	C₂³	—	5	2	no	—
1277	C₂³	—	5	2	no	—
1278	C₂³	—	5	2	no	—
1279	C₂³	—	5	2	no	—
1280	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1281	Q₈	—	2	8	no	—
1282	Q₈	—	10	8	no	—
1283	Q₈	—	10	8	no	—
1284	Q₈	—	10	8	no	—
1285	C₂×C₄	—	2	1	no	—
1286	C₂×C₄	—	2	1	no	—
1287	C₂×C₄	—	2	1	no	—
1288	C₂×C₄	—	2	1	no	—
1289	C₂×C₄	—	2	1	no	—
1290	C₂×C₄	—	2	1	no	—
1291	C₂×C₄	—	2	1	no	—
1292	C₂×C₄	—	2	1	no	—
1293	C₂×C₄	—	2	1	no	—
1294	C₂×C₄	—	2	1	no	—
1295	C₂×C₄	—	2	1	no	—
1296	C₂×C₄	—	2	1	no	—
1297	C₂×C₄	—	2	1	no	—
1298	C₂×C₄	—	2	1	no	—
1299	C₂×C₄	—	2	1	no	—
1300	C₂×C₄	—	2	1	no	—
1301	C₂×C₄	—	2	1	no	—
1302	C₂×C₄	—	2	1	no	—
1303	C₂×C₄	—	2	1	no	—
1304	C₂×C₄	—	2	1	no	—
1305	C₂×C₄	—	2	1	no	—
1306	C₂×C₄	—	2	1	no	—
1307	C₂×C₄	—	2	1	no	—
1308	C₂×C₄	—	2	1	no	—
1309	C₂×C₄	—	2	1	no	—
1310	C₂×C₄	—	2	1	no	—
1311	C₂×C₄	—	2	1	no	—
1312	C₂×C₄	—	2	1	no	—
1313	C₂×C₄	—	2	1	no	—
1314	C₂×C₄	—	2	1	no	—
1315	C₂×C₄	—	2	1	no	—
1316	C₂×C₄	—	2	1	no	—
1317	C₂×C₄	—	2	1	no	—
1318	C₂×C₄	—	2	1	no	—
1319	C₂×C₄	—	2	1	no	—
1320	C₂×C₄	—	2	1	no	—
1321	C₂×C₄	—	5	2	no	—
1322	C₂×C₄	—	5	2	no	—
1323	C₂×C₄	—	5	2	no	—
1324	C₂×C₄	—	5	2	no	—
1325	C₂×C₄	—	5	2	no	—
1326	C₂×C₄	—	5	2	no	—
1327	C₂×C₄	—	5	2	no	—
1328	C₂×C₄	—	5	2	no	—
1329	C₂×C₄	—	5	2	no	—
1330	C₂×C₄	—	10	8	no	—
1331	C₂×C₄	—	10	8	no	—
1332	C₂×C₄	—	10	8	no	—
1333	C₂×C₄	—	10	8	no	—
1334	C₂×C₄	—	10	8	no	—
1335	C₂×C₄	—	10	8	no	—
1336	C₂×C₄	—	10	8	no	—
1337	C₂×C₄	—	10	8	no	—
1338	C₂×C₄	—	10	8	no	—
1339	C₂×C₄	—	10	1	no	—
1340	C₂×C₄	—	10	1	no	—
1341	C₂×C₄	—	10	1	no	—
1342	C₂×C₄	—	10	1	no	—
1343	C₂×C₄	—	10	1	no	—
1344	C₂×C₄	—	10	1	no	—
1345	C₂×C₄	—	10	1	no	—
1346	C₂×C₄	—	10	1	no	—
1347	C₂×C₄	—	10	1	no	—
1348	C₂×C₄	—	10	1	no	—
1349	C₂×C₄	—	10	1	no	—
1350	C₂×C₄	—	10	1	no	—
1351	C₂×C₄	—	10	1	no	—
1352	C₂×C₄	—	10	1	no	—
1353	C₂×C₄	—	10	1	no	—
1354	C₂×C₄	—	10	1	no	—
1355	C₂×C₄	—	10	1	no	—
1356	C₂×C₄	—	10	1	no	—
1357	C₂×C₄	—	10	1	no	—
1358	C₂×C₄	—	10	1	no	—
1359	C₂×C₄	—	10	1	no	—
1360	C₂×C₄	—	10	1	no	—
1361	C₂×C₄	—	10	1	no	—
1362	C₂×C₄	—	10	1	no	—
1363	C₂×C₄	—	10	1	no	—
1364	C₂×C₄	—	10	1	no	—
1365	C₂×C₄	—	10	1	no	—
1366	C₂×C₄	—	10	1	no	—
1367	C₂×C₄	—	10	1	no	—
1368	C₂×C₄	—	10	1	no	—
1369	C₂×C₄	—	10	1	no	—
1370	C₂×C₄	—	10	1	no	—
1371	C₂×C₄	—	10	1	no	—
1372	C₂×C₄	—	10	1	no	—
1373	C₂×C₄	—	10	1	no	—
1374	C₂×C₄	—	10	1	no	—
1375	C₂×C₄	—	20	4	no	—
1376	C₂×C₄	—	20	4	no	—
1377	C₂×C₄	—	20	4	no	—
1378	C₂×C₄	—	20	4	no	—
1379	C₂×C₄	—	20	4	no	—
1380	C₂×C₄	—	20	4	no	—
1381	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1382	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1383	C₂×C₄	C₂×D₄×D₅	1	2	yes	—
1384	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1385	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1386	C₂×C₄	C₂×Q₈×D₅	1	2	yes	—
1387	C₂×C₄	D₅×#41	1	2	yes	—
1388	C₂×C₄	D₅×#41	1	2	yes	—
1389	C₂×C₄	D₅×#41	1	2	yes	—
1390	C₅	C₂×#2462	1	1	yes	characteristic, complemented, Sylow
1391	C₂²	—	5	4	no	—
1392	C₂²	—	5	4	no	—
1393	C₂²	—	5	4	no	—
1394	C₂²	—	5	4	no	—
1395	C₂²	—	5	4	no	—
1396	C₂²	—	5	4	no	—
1397	C₂²	—	5	4	no	—
1398	C₂²	C₂²×D₄×D₅	1	1	yes	characteristic
1399	C₂²	C₂²×Q₈×D₅	1	1	yes	characteristic
1400	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1401	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1402	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1403	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1404	C₂²	D₅×2₋¹⁺⁴	1	1	yes	characteristic
1405	C₄	—	2	2	no	—
1406	C₄	—	2	2	no	—
1407	C₄	—	2	2	no	—
1408	C₄	—	2	2	no	—
1409	C₄	—	2	2	no	—
1410	C₄	—	2	2	no	—
1411	C₄	—	2	2	no	—
1412	C₄	—	2	2	no	—
1413	C₄	—	2	2	no	—
1414	C₄	—	4	1	no	—
1415	C₄	—	4	1	no	—
1416	C₄	—	4	1	no	—
1417	C₄	—	4	1	no	—
1418	C₄	—	4	1	no	—
1419	C₄	—	4	1	no	—
1420	C₄	—	10	2	no	—
1421	C₄	—	10	2	no	—
1422	C₄	—	10	2	no	—
1423	C₄	—	10	2	no	—
1424	C₄	—	10	2	no	—
1425	C₄	—	10	2	no	—
1426	C₄	—	10	2	no	—
1427	C₄	—	10	2	no	—
1428	C₄	—	10	2	no	—
1429	C₄	—	20	1	no	—
1430	C₄	—	20	1	no	—
1431	C₄	—	20	1	no	—
1432	C₄	—	20	1	no	—
1433	C₄	—	20	1	no	—
1434	C₄	—	20	1	no	—
1435	C₂	—	5	8	no	—
1436	C₂	D₅×#525	1	1	yes	characteristic
1437	C₂	D₅×#533	1	1	yes	characteristic
1438	C₂	D₅×#541	1	1	yes	characteristic
1439	C₂	D₅×#547	1	1	yes	characteristic
1440	C₂	D₄×Q₈×D₅	1	1	yes	characteristic
1441	C₂	D₅×#552	1	1	yes	characteristic
1442	C₂	D₅×#557	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2462	C₂
prime radical	C₂³×D₅	C₂⁴
hypercenter	#2462	D₅
hypocenter	C₅	C₂×#2462
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2462

Complements

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

N	H ≅ G/N	type
3. C₅×#2462	C₂	semidirect
4. #10614762	C₂	semidirect
5. #10614203	C₂	semidirect
8. #10609483	C₂	semidirect
9. #10609482	C₂	semidirect
12. #10608909	C₂	semidirect
13. #10608908	C₂	semidirect
16. #10607749	C₂	semidirect
17. #10607748	C₂	semidirect
24. #10606729	C₂	semidirect
25. #10606728	C₂	semidirect
26. #10606727	C₂	semidirect
27. #10606726	C₂	semidirect
28. #10606725	C₂	semidirect
29. #10606724	C₂	semidirect
31. #10605409	C₂	semidirect
309. D₅×C₄⋊C₄	Q₈	semidirect
401. #2462	D₅	direct (N × H)
518. C₅×C₄⋊C₄	C₂×Q₈	semidirect
538. C₄⋊Dic₅	C₂×Q₈	semidirect
567. #683	C₂×Q₈	semidirect
568. #683	C₂×Q₈	semidirect
1244. C₄⋊C₄	Q₈×D₅	semidirect
1272. D₅	#2462	direct (N × H)
1390. C₅	C₂×#2462	semidirect

Maximal subgroups

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

subgroup	index
C₂×D₅×#125	2
C₂×C₄×Q₈×D₅	2
C₅×#2462	2
#10614762	2
#10614203	2
D₅×#398	2
#10609483	2
#10609482	2
D₅×#395	2
#10608909	2
#10608908	2
D₅×#389	2
#10607749	2
#10607748	2
D₅×#387	2
#10606729	2
#10606728	2
#10606727	2
#10606726	2
#10606725	2
#10606724	2
C₄×D₅×C₄⋊C₄	2
#10605409	2
C₂×#2462	5

Subgroups — D5×#2462 #12267284

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#2462 #12267284