Subgroups — D₅×#2525 #12268706

Order 1280.

2074 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	C₅×#2525	C₂	1	1	yes	maximal, characteristic, complemented
2	D₅×#400	C₂	1	1	yes	maximal, characteristic, complemented
3	#10609896	C₂	1	1	yes	maximal, characteristic, complemented
4	D₅×#398	C₂	1	1	yes	maximal, characteristic, complemented
5	#10609510	C₂	1	1	yes	maximal, characteristic, complemented
6	D₅×#397	C₂	1	1	yes	maximal, characteristic
7	#10609235	C₂	1	1	yes	maximal, characteristic, complemented
8	D₅×#396	C₂	1	1	yes	maximal, characteristic
9	#10609042	C₂	1	1	yes	maximal, characteristic, complemented
10	D₅×#389	C₂	1	1	yes	maximal, characteristic, complemented
11	#10607784	C₂	1	1	yes	maximal, characteristic, complemented
12	D₅×#388	C₂	1	1	yes	maximal, characteristic
13	D₅×#388	C₂	1	1	yes	maximal, characteristic
14	D₅×#388	C₂	1	1	yes	maximal, characteristic
15	D₅×#388	C₂	1	1	yes	maximal, characteristic
16	D₅×#388	C₂	1	1	yes	maximal, characteristic
17	#10607304	C₂	1	1	yes	maximal, characteristic, complemented
18	#10607303	C₂	1	1	yes	maximal, characteristic, complemented
19	#10607302	C₂	1	1	yes	maximal, characteristic, complemented
20	#10607301	C₂	1	1	yes	maximal, characteristic, complemented
21	#10607300	C₂	1	1	yes	maximal, characteristic, complemented
22	D₅×#387	C₂	1	1	yes	maximal, characteristic, complemented
23	D₅×#387	C₂	1	1	yes	maximal, characteristic, complemented
24	#10606785	C₂	1	1	yes	maximal, characteristic, complemented
25	#10606784	C₂	1	1	yes	maximal, characteristic, complemented
26	D₅×#383	C₂	1	1	yes	maximal, characteristic, complemented
27	#10606003	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×D₅×C₄⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	#10605436	C₂	1	1	yes	maximal, characteristic, complemented
31	#10605435	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
33	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
34	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
35	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
36	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
37	C₂×D₅×C₄⋊C₄	C₂²	1	1	yes	characteristic
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×C₂²⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
43	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
44	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
45	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
46	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
47	C₂×D₅×C₂²⋊C₄	C₂²	1	1	yes	characteristic
48	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
49	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
50	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
51	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
52	C₂×C₄²×D₅	C₂²	1	1	yes	characteristic
53	C₅×#400	C₂²	1	1	yes	characteristic, complemented
54	C₅×#398	C₂²	1	1	yes	characteristic, complemented
55	C₅×#397	C₂²	1	1	yes	characteristic
56	C₅×#396	C₂²	1	1	yes	characteristic
57	C₅×#389	C₂²	1	1	yes	characteristic, complemented
58	C₅×#388	C₂²	1	1	yes	characteristic
59	C₅×#388	C₂²	1	1	yes	characteristic
60	C₅×#388	C₂²	1	1	yes	characteristic
61	C₅×#388	C₂²	1	1	yes	characteristic
62	C₅×#388	C₂²	1	1	yes	characteristic
63	C₅×#387	C₂²	1	1	yes	characteristic, complemented
64	C₅×#387	C₂²	1	1	yes	characteristic, complemented
65	C₅×#383	C₂²	1	1	yes	characteristic, complemented
66	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
67	C₄×C₅×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
68	#65283	C₂²	1	1	yes	characteristic
69	#65283	C₂²	1	1	yes	characteristic
70	#65283	C₂²	1	1	yes	characteristic
71	#65282	C₂²	1	1	yes	characteristic
72	#65279	C₂²	1	1	yes	characteristic
73	#65279	C₂²	1	1	yes	characteristic
74	#65279	C₂²	1	1	yes	characteristic
75	#65279	C₂²	1	1	yes	characteristic
76	#65279	C₂²	1	1	yes	characteristic
77	#65275	C₂²	1	1	yes	characteristic, complemented
78	#65274	C₂²	1	1	yes	characteristic, complemented
79	#65273	C₂²	1	1	yes	characteristic, complemented
80	#65273	C₂²	1	1	yes	characteristic, complemented
81	#65272	C₂²	1	1	yes	characteristic, complemented
82	#65271	C₂²	1	1	yes	characteristic, complemented
83	#65270	C₂²	1	1	yes	characteristic, complemented
84	#65270	C₂²	1	1	yes	characteristic, complemented
85	#65269	C₂²	1	1	yes	characteristic, complemented
86	#65267	C₂²	1	1	yes	characteristic, complemented
87	#65267	C₂²	1	1	yes	characteristic, complemented
88	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
89	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
90	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
91	C₄⋊C₄×Dic₅	C₂²	1	1	yes	characteristic, complemented
92	#65262	C₂²	1	1	yes	characteristic, complemented
93	#65261	C₂²	1	1	yes	characteristic, complemented
94	#65261	C₂²	1	1	yes	characteristic, complemented
95	#65242	C₂²	1	1	yes	characteristic
96	#65241	C₂²	1	1	yes	characteristic
97	#65241	C₂²	1	1	yes	characteristic
98	#65240	C₂²	1	1	yes	characteristic
99	#65240	C₂²	1	1	yes	characteristic
100	#65240	C₂²	1	1	yes	characteristic
101	#65240	C₂²	1	1	yes	characteristic
102	#65240	C₂²	1	1	yes	characteristic
103	#65237	C₂²	1	1	yes	characteristic
104	#65237	C₂²	1	1	yes	characteristic
105	#65237	C₂²	1	1	yes	characteristic
106	#65234	C₂²	1	1	yes	characteristic
107	#65234	C₂²	1	1	yes	characteristic
108	#65234	C₂²	1	1	yes	characteristic
109	#65234	C₂²	1	1	yes	characteristic
110	#65234	C₂²	1	1	yes	characteristic
111	#65233	C₂²	1	1	yes	characteristic
112	#65233	C₂²	1	1	yes	characteristic
113	#65233	C₂²	1	1	yes	characteristic
114	#65233	C₂²	1	1	yes	characteristic
115	#65233	C₂²	1	1	yes	characteristic
116	#65229	C₂²	1	1	yes	characteristic
117	#65229	C₂²	1	1	yes	characteristic
118	#65229	C₂²	1	1	yes	characteristic
119	#65229	C₂²	1	1	yes	characteristic
120	#65229	C₂²	1	1	yes	characteristic
121	#65226	C₂²	1	1	yes	characteristic, complemented
122	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
123	C₄×C₄⋊Dic₅	C₂²	1	1	yes	characteristic, complemented
124	#65222	C₂²	1	1	yes	characteristic, complemented
125	#65222	C₂²	1	1	yes	characteristic, complemented
126	C₄×#683	C₂²	1	1	yes	characteristic, complemented
127	C₄×#683	C₂²	1	1	yes	characteristic, complemented
128	C₄×#683	C₂²	1	1	yes	characteristic, complemented
129	C₄×#683	C₂²	1	1	yes	characteristic, complemented
130	#65217	C₂²	1	1	yes	characteristic, complemented
131	#64965	C₂²	1	1	yes	characteristic
132	#64964	C₂²	1	1	yes	characteristic
133	#64964	C₂²	1	1	yes	characteristic
134	#64963	C₂²	1	1	yes	characteristic
135	#64959	C₂²	1	1	yes	characteristic
136	#64959	C₂²	1	1	yes	characteristic
137	#64959	C₂²	1	1	yes	characteristic
138	#64959	C₂²	1	1	yes	characteristic
139	#64959	C₂²	1	1	yes	characteristic
140	#64958	C₂²	1	1	yes	characteristic
141	#64958	C₂²	1	1	yes	characteristic
142	#64958	C₂²	1	1	yes	characteristic
143	#64958	C₂²	1	1	yes	characteristic
144	#64958	C₂²	1	1	yes	characteristic
145	D₅×#95	C₂²	1	1	yes	characteristic
146	D₅×#95	C₂²	1	1	yes	characteristic
147	D₅×#95	C₂²	1	1	yes	characteristic
148	D₅×#95	C₂²	1	1	yes	characteristic
149	D₅×#95	C₂²	1	1	yes	characteristic
150	D₅×#95	C₂²	1	1	yes	characteristic
151	D₅×#95	C₂²	1	1	yes	characteristic
152	D₅×#95	C₂²	1	1	yes	characteristic
153	D₅×#95	C₂²	1	1	yes	characteristic
154	D₅×#95	C₂²	1	1	yes	characteristic
155	D₅×#95	C₂²	1	1	yes	characteristic
156	D₅×#95	C₂²	1	1	yes	characteristic
157	D₅×#95	C₂²	1	1	yes	characteristic
158	D₅×#95	C₂²	1	1	yes	characteristic
159	#64950	C₂²	1	1	yes	characteristic, complemented
160	#64949	C₂²	1	1	yes	characteristic, complemented
161	#64949	C₂²	1	1	yes	characteristic, complemented
162	#64948	C₂²	1	1	yes	characteristic, complemented
163	#64947	C₂²	1	1	yes	characteristic, complemented
164	#64947	C₂²	1	1	yes	characteristic, complemented
165	#64946	C₂²	1	1	yes	characteristic, complemented
166	#64946	C₂²	1	1	yes	characteristic, complemented
167	#64944	C₂²	1	1	yes	characteristic, complemented
168	#64944	C₂²	1	1	yes	characteristic, complemented
169	#64943	C₂²	1	1	yes	characteristic, complemented
170	#64943	C₂²	1	1	yes	characteristic, complemented
171	#64942	C₂²	1	1	yes	characteristic, complemented
172	#64942	C₂²	1	1	yes	characteristic, complemented
173	#64941	C₂²	1	1	yes	characteristic, complemented
174	#64941	C₂²	1	1	yes	characteristic, complemented
175	#64940	C₂²	1	1	yes	characteristic, complemented
176	#64940	C₂²	1	1	yes	characteristic, complemented
177	#64940	C₂²	1	1	yes	characteristic, complemented
178	#64940	C₂²	1	1	yes	characteristic, complemented
179	#64940	C₂²	1	1	yes	characteristic, complemented
180	#64940	C₂²	1	1	yes	characteristic, complemented
181	#64938	C₂²	1	1	yes	characteristic, complemented
182	#64938	C₂²	1	1	yes	characteristic, complemented
183	#64938	C₂²	1	1	yes	characteristic, complemented
184	#64938	C₂²	1	1	yes	characteristic, complemented
185	#64936	C₂²	1	1	yes	characteristic, complemented
186	#64936	C₂²	1	1	yes	characteristic, complemented
187	C₂×#2525	—	5	1	no	maximal, Sylow
188	C₂⁴×D₅	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
192	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
193	C₂²×C₄×D₅	C₂³	1	1	yes	characteristic
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	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
211	C₂×C₅×C₄⋊C₄	C₂³	1	1	yes	characteristic
212	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
213	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
214	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
215	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₅×C₂²⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
220	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
221	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
222	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
223	C₂×C₄²×C₅	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊Dic₅	C₂³	1	1	yes	characteristic
231	C₂×#685	C₂³	1	1	yes	characteristic
232	C₂×#685	C₂³	1	1	yes	characteristic
233	C₂×#685	C₂³	1	1	yes	characteristic
234	C₂×#685	C₂³	1	1	yes	characteristic
235	C₂×#685	C₂³	1	1	yes	characteristic
236	C₂×#685	C₂³	1	1	yes	characteristic
237	C₂×#685	C₂³	1	1	yes	characteristic
238	C₂×#685	C₂³	1	1	yes	characteristic
239	C₂×#685	C₂³	1	1	yes	characteristic
240	C₂×#685	C₂³	1	1	yes	characteristic
241	C₂×#685	C₂³	1	1	yes	characteristic
242	C₂×#685	C₂³	1	1	yes	characteristic
243	C₂×#685	C₂³	1	1	yes	characteristic
244	C₂×#685	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×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊Dic₅	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊Dic₅	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×C₄×Dic₅	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₅	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₅	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	D₅×C₄⋊C₄	—	2	4	no	—
288	D₅×C₄⋊C₄	—	2	4	no	—
289	D₅×C₄⋊C₄	—	2	4	no	—
290	D₅×C₄⋊C₄	—	2	4	no	—
291	D₅×C₄⋊C₄	—	2	4	no	—
292	D₅×C₄⋊C₄	—	2	4	no	—
293	D₅×C₄⋊C₄	—	2	4	no	—
294	D₅×C₄⋊C₄	—	4	2	no	—
295	D₅×C₄⋊C₄	—	4	2	no	—
296	D₅×C₂²⋊C₄	—	2	4	no	—
297	D₅×C₂²⋊C₄	—	2	4	no	—
298	D₅×C₂²⋊C₄	—	2	4	no	—
299	D₅×C₂²⋊C₄	—	2	4	no	—
300	D₅×C₂²⋊C₄	—	2	4	no	—
301	D₅×C₂²⋊C₄	—	4	2	no	—
302	D₅×C₂²⋊C₄	—	4	2	no	—
303	C₄²×D₅	—	2	4	no	—
304	C₄²×D₅	—	2	4	no	—
305	C₄²×D₅	—	2	4	no	—
306	C₄²×D₅	—	4	2	no	—
307	C₄²×D₅	—	4	2	no	—
308	C₅×#95	C₂³	1	1	yes	characteristic
309	C₅×#95	C₂³	1	1	yes	characteristic
310	C₅×#95	C₂³	1	1	yes	characteristic
311	C₅×#95	C₂³	1	1	yes	characteristic
312	C₅×#95	C₂³	1	1	yes	characteristic
313	C₅×#95	C₂³	1	1	yes	characteristic
314	C₅×#95	C₂³	1	1	yes	characteristic
315	C₅×#95	C₂³	1	1	yes	characteristic
316	C₅×#95	C₂³	1	1	yes	characteristic
317	C₅×#95	C₂³	1	1	yes	characteristic
318	C₅×#95	C₂³	1	1	yes	characteristic
319	C₅×#95	C₂³	1	1	yes	characteristic
320	C₅×#95	C₂³	1	1	yes	characteristic
321	C₅×#95	C₂³	1	1	yes	characteristic
322	#3963	C₂³	1	1	yes	characteristic
323	#3963	C₂³	1	1	yes	characteristic
324	#3963	C₂³	1	1	yes	characteristic
325	#3963	C₂³	1	1	yes	characteristic
326	#3963	C₂³	1	1	yes	characteristic
327	#3963	C₂³	1	1	yes	characteristic
328	#3963	C₂³	1	1	yes	characteristic
329	#3963	C₂³	1	1	yes	characteristic
330	#3963	C₂³	1	1	yes	characteristic
331	#3963	C₂³	1	1	yes	characteristic
332	#3963	C₂³	1	1	yes	characteristic
333	#3963	C₂³	1	1	yes	characteristic
334	#3963	C₂³	1	1	yes	characteristic
335	#3963	C₂³	1	1	yes	characteristic
336	#3963	C₂³	1	1	yes	characteristic
337	#3963	C₂³	1	1	yes	characteristic
338	#3963	C₂³	1	1	yes	characteristic
339	#3963	C₂³	1	1	yes	characteristic
340	#3963	C₂³	1	1	yes	characteristic
341	#3963	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	#2525	—	5	1	no	—
365	#2525	—	5	1	no	—
366	#2525	—	5	1	no	—
367	#2525	—	5	1	no	—
368	#2525	—	5	1	no	—
369	#2525	—	5	1	no	—
370	#2525	—	5	1	no	—
371	#2525	—	5	1	no	—
372	#2525	—	5	1	no	—
373	#2525	—	5	1	no	—
374	#2525	—	5	1	no	—
375	#2525	—	5	1	no	—
376	#2525	—	5	1	no	—
377	#2525	—	5	1	no	—
378	#2525	—	5	1	no	—
379	#2525	D₅	1	1	yes	characteristic, direct product factor
380	C₂×#400	—	5	1	no	—
381	C₂×#398	—	5	1	no	—
382	C₂×#397	—	5	1	no	—
383	C₂×#396	—	5	1	no	—
384	C₂×#389	—	5	1	no	—
385	C₂×#388	—	5	1	no	—
386	C₂×#388	—	5	1	no	—
387	C₂×#388	—	5	1	no	—
388	C₂×#388	—	5	1	no	—
389	C₂×#388	—	5	1	no	—
390	C₂×#387	—	5	1	no	—
391	C₂×#387	—	5	1	no	—
392	C₂×#383	—	5	1	no	—
393	C₂×C₄×C₄⋊C₄	—	5	1	no	—
394	C₂×C₄×C₄⋊C₄	—	5	1	no	—
395	C₂⁴×C₅	C₂⁴	1	1	yes	characteristic
396	C₂³×D₅	—	2	2	no	—
397	C₂³×D₅	—	2	2	no	—
398	C₂³×D₅	—	2	2	no	—
399	C₂³×D₅	—	2	2	no	—
400	C₂³×D₅	—	2	2	no	—
401	C₂³×D₅	—	2	2	no	—
402	C₂³×D₅	—	2	2	no	—
403	C₂³×D₅	C₂⁴	1	1	yes	characteristic
404	C₂³×D₅	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
414	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
415	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
416	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
417	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₅	C₂⁴	1	1	yes	characteristic
419	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
420	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
421	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
422	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₅	C₂⁴	1	1	yes	characteristic
433	C₂×C₄×D₅	—	2	2	no	—
434	C₂×C₄×D₅	—	2	2	no	—
435	C₂×C₄×D₅	—	2	2	no	—
436	C₂×C₄×D₅	—	2	2	no	—
437	C₂×C₄×D₅	—	2	2	no	—
438	C₂×C₄×D₅	—	2	2	no	—
439	C₂×C₄×D₅	—	2	2	no	—
440	C₂×C₄×D₅	—	2	2	no	—
441	C₂×C₄×D₅	—	2	2	no	—
442	C₂×C₄×D₅	—	2	2	no	—
443	C₂×C₄×D₅	—	2	2	no	—
444	C₂×C₄×D₅	—	2	2	no	—
445	C₂×C₄×D₅	—	2	2	no	—
446	C₂×C₄×D₅	—	2	2	no	—
447	C₂×C₄×D₅	—	2	2	no	—
448	C₂×C₄×D₅	—	2	2	no	—
449	C₂×C₄×D₅	—	2	2	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	#41	1	4	yes	—
471	C₂×C₄×D₅	#41	1	4	yes	—
472	C₂×C₄×D₅	#41	1	4	yes	—
473	C₂×C₄×D₅	#41	1	4	yes	—
474	C₂×C₄×D₅	#41	1	4	yes	—
475	C₅×C₄⋊C₄	—	2	2	no	—
476	C₅×C₄⋊C₄	—	2	2	no	—
477	C₅×C₄⋊C₄	—	2	2	no	—
478	C₅×C₄⋊C₄	—	2	2	no	—
479	C₅×C₄⋊C₄	—	2	2	no	—
480	C₅×C₄⋊C₄	—	2	2	no	—
481	C₅×C₄⋊C₄	—	2	2	no	—
482	C₅×C₄⋊C₄	—	4	1	no	—
483	C₅×C₄⋊C₄	—	4	1	no	—
484	C₅×C₂²⋊C₄	—	2	2	no	—
485	C₅×C₂²⋊C₄	—	2	2	no	—
486	C₅×C₂²⋊C₄	—	2	2	no	—
487	C₅×C₂²⋊C₄	—	2	2	no	—
488	C₅×C₂²⋊C₄	—	2	2	no	—
489	C₅×C₂²⋊C₄	—	4	1	no	—
490	C₅×C₂²⋊C₄	—	4	1	no	—
491	C₄²×C₅	—	2	2	no	—
492	C₄²×C₅	—	2	2	no	—
493	C₄²×C₅	—	2	2	no	—
494	C₄²×C₅	—	4	1	no	—
495	C₄²×C₅	—	4	1	no	—
496	C₂²⋊Dic₅	—	2	2	no	—
497	C₂²⋊Dic₅	—	2	2	no	—
498	C₂²⋊Dic₅	—	2	2	no	—
499	C₂²⋊Dic₅	—	2	2	no	—
500	C₂²⋊Dic₅	—	2	2	no	—
501	C₂²⋊Dic₅	—	4	1	no	—
502	C₂²⋊Dic₅	—	4	1	no	—
503	#685	—	2	2	no	—
504	#685	—	2	2	no	—
505	#685	—	2	2	no	—
506	#685	—	2	2	no	—
507	#685	—	2	2	no	—
508	#685	—	2	2	no	—
509	#685	—	2	2	no	—
510	#685	—	2	2	no	—
511	#685	—	2	2	no	—
512	#685	—	2	2	no	—
513	#685	—	4	1	no	—
514	#685	—	4	1	no	—
515	#685	—	4	1	no	—
516	#685	—	4	1	no	—
517	C₄⋊Dic₅	—	2	2	no	—
518	C₄⋊Dic₅	—	2	2	no	—
519	C₄⋊Dic₅	—	2	2	no	—
520	C₄⋊Dic₅	—	2	2	no	—
521	C₄⋊Dic₅	—	2	2	no	—
522	C₄⋊Dic₅	—	2	2	no	—
523	C₄⋊Dic₅	—	2	2	no	—
524	C₄⋊Dic₅	—	4	1	no	—
525	C₄⋊Dic₅	—	4	1	no	—
526	#683	—	2	2	no	—
527	#683	—	2	2	no	—
528	#683	—	2	2	no	—
529	#683	—	2	2	no	—
530	#683	—	2	2	no	—
531	#683	—	2	2	no	—
532	#683	—	2	2	no	—
533	#683	—	2	2	no	—
534	#683	—	2	2	no	—
535	#683	—	2	2	no	—
536	#683	—	2	2	no	—
537	#683	—	2	2	no	—
538	#683	—	2	2	no	—
539	#683	—	2	2	no	—
540	#683	—	4	1	no	—
541	#683	—	4	1	no	—
542	#683	—	4	1	no	—
543	#683	—	4	1	no	—
544	C₄×Dic₅	—	2	2	no	—
545	C₄×Dic₅	—	2	2	no	—
546	C₄×Dic₅	—	2	2	no	—
547	C₄×Dic₅	—	2	2	no	—
548	C₄×Dic₅	—	2	2	no	—
549	C₄×Dic₅	—	2	2	no	—
550	C₄×Dic₅	—	2	2	no	—
551	C₄×Dic₅	—	2	2	no	—
552	C₄×Dic₅	—	2	2	no	—
553	C₄×Dic₅	—	4	1	no	—
554	C₄×Dic₅	—	4	1	no	—
555	C₄×Dic₅	—	4	1	no	—
556	C₄×Dic₅	—	4	1	no	—
557	C₄×Dic₅	—	4	1	no	—
558	C₄×Dic₅	—	4	1	no	—
559	C₂²×C₄⋊C₄	—	5	1	no	—
560	C₂²×C₄⋊C₄	—	5	1	no	—
561	C₂²×C₄⋊C₄	—	5	1	no	—
562	C₂²×C₄⋊C₄	—	5	1	no	—
563	C₂²×C₄⋊C₄	—	5	1	no	—
564	C₂²×C₄⋊C₄	—	5	1	no	—
565	C₂²×C₄⋊C₄	—	5	1	no	—
566	C₂²×C₄⋊C₄	—	5	1	no	—
567	C₂²×C₄⋊C₄	—	5	1	no	—
568	C₂²×C₂²⋊C₄	—	5	1	no	—
569	C₂²×C₂²⋊C₄	—	5	1	no	—
570	C₂²×C₂²⋊C₄	—	5	1	no	—
571	C₂²×C₂²⋊C₄	—	5	1	no	—
572	C₂²×C₂²⋊C₄	—	5	1	no	—
573	C₂²×C₂²⋊C₄	—	5	1	no	—
574	C₂²×C₂²⋊C₄	—	5	1	no	—
575	C₂²×C₄²	—	5	1	no	—
576	C₂²×C₄²	—	5	1	no	—
577	C₂²×C₄²	—	5	1	no	—
578	C₂²×C₄²	—	5	1	no	—
579	C₂²×C₄²	—	5	1	no	—
580	#400	—	5	1	no	—
581	#400	—	5	1	no	—
582	#400	—	5	1	no	—
583	#400	—	5	1	no	—
584	#400	—	5	1	no	—
585	#400	—	5	1	no	—
586	#400	—	5	1	no	—
587	#400	C₂×D₅	1	1	yes	characteristic, complemented
588	#398	—	5	1	no	—
589	#398	—	5	1	no	—
590	#398	—	5	1	no	—
591	#398	—	5	1	no	—
592	#398	—	5	1	no	—
593	#398	—	5	1	no	—
594	#398	—	5	1	no	—
595	#398	C₂×D₅	1	1	yes	characteristic, complemented
596	#397	—	5	1	no	—
597	#397	—	5	1	no	—
598	#397	—	5	1	no	—
599	#397	—	5	1	no	—
600	#397	—	5	1	no	—
601	#397	—	5	1	no	—
602	#397	—	5	1	no	—
603	#397	C₂×D₅	1	1	yes	characteristic
604	#396	—	5	1	no	—
605	#396	—	5	1	no	—
606	#396	—	5	1	no	—
607	#396	—	5	1	no	—
608	#396	—	5	1	no	—
609	#396	—	5	1	no	—
610	#396	—	5	1	no	—
611	#396	C₂×D₅	1	1	yes	characteristic
612	#389	—	5	1	no	—
613	#389	—	5	1	no	—
614	#389	—	5	1	no	—
615	#389	—	5	1	no	—
616	#389	—	5	1	no	—
617	#389	—	5	1	no	—
618	#389	—	5	1	no	—
619	#389	C₂×D₅	1	1	yes	characteristic, complemented
620	#388	—	5	1	no	—
621	#388	—	5	1	no	—
622	#388	—	5	1	no	—
623	#388	—	5	1	no	—
624	#388	—	5	1	no	—
625	#388	—	5	1	no	—
626	#388	—	5	1	no	—
627	#388	—	5	1	no	—
628	#388	—	5	1	no	—
629	#388	—	5	1	no	—
630	#388	—	5	1	no	—
631	#388	—	5	1	no	—
632	#388	—	5	1	no	—
633	#388	—	5	1	no	—
634	#388	—	5	1	no	—
635	#388	—	5	1	no	—
636	#388	—	5	1	no	—
637	#388	—	5	1	no	—
638	#388	—	5	1	no	—
639	#388	—	5	1	no	—
640	#388	—	5	1	no	—
641	#388	—	5	1	no	—
642	#388	—	5	1	no	—
643	#388	—	5	1	no	—
644	#388	—	5	1	no	—
645	#388	—	5	1	no	—
646	#388	—	5	1	no	—
647	#388	—	5	1	no	—
648	#388	—	5	1	no	—
649	#388	—	5	1	no	—
650	#388	—	5	1	no	—
651	#388	—	5	1	no	—
652	#388	—	5	1	no	—
653	#388	—	5	1	no	—
654	#388	—	5	1	no	—
655	#388	C₂×D₅	1	1	yes	characteristic
656	#388	C₂×D₅	1	1	yes	characteristic
657	#388	C₂×D₅	1	1	yes	characteristic
658	#388	C₂×D₅	1	1	yes	characteristic
659	#388	C₂×D₅	1	1	yes	characteristic
660	#387	—	5	1	no	—
661	#387	—	5	1	no	—
662	#387	—	5	1	no	—
663	#387	—	5	1	no	—
664	#387	—	5	1	no	—
665	#387	—	5	1	no	—
666	#387	—	5	1	no	—
667	#387	—	5	1	no	—
668	#387	—	5	1	no	—
669	#387	—	5	1	no	—
670	#387	—	5	1	no	—
671	#387	—	5	1	no	—
672	#387	—	5	1	no	—
673	#387	—	5	1	no	—
674	#387	C₂×D₅	1	1	yes	characteristic, complemented
675	#387	C₂×D₅	1	1	yes	characteristic, complemented
676	#383	—	5	1	no	—
677	#383	—	5	1	no	—
678	#383	—	5	1	no	—
679	#383	—	5	1	no	—
680	#383	—	5	1	no	—
681	#383	—	5	1	no	—
682	#383	—	5	1	no	—
683	#383	C₂×D₅	1	1	yes	characteristic, complemented
684	C₄×C₄⋊C₄	—	5	1	no	—
685	C₄×C₄⋊C₄	—	5	1	no	—
686	C₄×C₄⋊C₄	—	5	1	no	—
687	C₄×C₄⋊C₄	—	5	1	no	—
688	C₄×C₄⋊C₄	—	5	1	no	—
689	C₄×C₄⋊C₄	—	5	1	no	—
690	C₄×C₄⋊C₄	—	5	1	no	—
691	C₄×C₄⋊C₄	—	5	1	no	—
692	C₄×C₄⋊C₄	—	5	1	no	—
693	C₄×C₄⋊C₄	—	5	1	no	—
694	C₄×C₄⋊C₄	—	5	1	no	—
695	C₄×C₄⋊C₄	—	5	1	no	—
696	C₄×C₄⋊C₄	—	5	1	no	—
697	C₄×C₄⋊C₄	—	5	1	no	—
698	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
699	C₄×C₄⋊C₄	C₂×D₅	1	1	yes	characteristic, complemented
700	C₂×#95	—	5	1	no	—
701	C₂×#95	—	5	1	no	—
702	C₂×#95	—	5	1	no	—
703	C₂×#95	—	5	1	no	—
704	C₂×#95	—	5	1	no	—
705	C₂×#95	—	5	1	no	—
706	C₂×#95	—	5	1	no	—
707	C₂×#95	—	5	1	no	—
708	C₂×#95	—	5	1	no	—
709	C₂×#95	—	5	1	no	—
710	C₂×#95	—	5	1	no	—
711	C₂×#95	—	5	1	no	—
712	C₂×#95	—	5	1	no	—
713	C₂×#95	—	5	1	no	—
714	C₂³×C₅	—	2	1	no	—
715	C₂³×C₅	—	2	1	no	—
716	C₂³×C₅	—	2	1	no	—
717	C₂³×C₅	—	2	1	no	—
718	C₂³×C₅	—	2	1	no	—
719	C₂³×C₅	—	2	1	no	—
720	C₂³×C₅	—	2	1	no	—
721	C₂³×C₅	C₂⁵	1	1	yes	characteristic
722	C₂²×D₅	—	2	1	no	—
723	C₂²×D₅	—	2	1	no	—
724	C₂²×D₅	—	2	1	no	—
725	C₂²×D₅	—	2	1	no	—
726	C₂²×D₅	—	2	1	no	—
727	C₂²×D₅	—	2	1	no	—
728	C₂²×D₅	—	2	1	no	—
729	C₂²×D₅	—	4	4	no	—
730	C₂²×D₅	—	4	4	no	—
731	C₂²×D₅	—	4	4	no	—
732	C₂²×D₅	—	4	4	no	—
733	C₂²×D₅	—	4	4	no	—
734	C₂²×D₅	—	4	4	no	—
735	C₂²×D₅	—	4	4	no	—
736	C₂²×D₅	C₂×#41	1	2	yes	—
737	C₂²×D₅	C₂×#41	1	2	yes	—
738	C₂²×D₅	C₂×#41	1	2	yes	—
739	C₂²×D₅	C₂×#41	1	2	yes	—
740	C₂²×D₅	C₂×#41	1	2	yes	—
741	C₂²×D₅	H(5,𝔽₂)	1	2	yes	—
742	C₂²×D₅	2₋¹⁺⁴	1	2	yes	—
743	C₂×C₄×C₅	—	2	1	no	—
744	C₂×C₄×C₅	—	2	1	no	—
745	C₂×C₄×C₅	—	2	1	no	—
746	C₂×C₄×C₅	—	2	1	no	—
747	C₂×C₄×C₅	—	2	1	no	—
748	C₂×C₄×C₅	—	2	1	no	—
749	C₂×C₄×C₅	—	2	1	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	C₂×#41	1	2	yes	—
781	C₂×C₄×C₅	C₂×#41	1	2	yes	—
782	C₂×C₄×C₅	C₂×#41	1	2	yes	—
783	C₂×C₄×C₅	C₂×#41	1	2	yes	—
784	C₂×C₄×C₅	C₂×#41	1	2	yes	—
785	C₂×Dic₅	—	2	1	no	—
786	C₂×Dic₅	—	2	1	no	—
787	C₂×Dic₅	—	2	1	no	—
788	C₂×Dic₅	—	2	1	no	—
789	C₂×Dic₅	—	2	1	no	—
790	C₂×Dic₅	—	2	1	no	—
791	C₂×Dic₅	—	2	1	no	—
792	C₂×Dic₅	—	2	1	no	—
793	C₂×Dic₅	—	2	1	no	—
794	C₂×Dic₅	—	2	1	no	—
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	C₂×#41	1	2	yes	—
823	C₂×Dic₅	C₂×#41	1	2	yes	—
824	C₂×Dic₅	C₂×#41	1	2	yes	—
825	C₂×Dic₅	C₂×#41	1	2	yes	—
826	C₂×Dic₅	C₂×#41	1	2	yes	—
827	C₄×D₅	—	2	8	no	—
828	C₄×D₅	—	2	8	no	—
829	C₄×D₅	—	2	8	no	—
830	C₄×D₅	—	2	8	no	—
831	C₄×D₅	—	2	8	no	—
832	C₄×D₅	—	4	4	no	—
833	C₄×D₅	—	4	4	no	—
834	C₄×D₅	—	4	4	no	—
835	C₄×D₅	—	4	4	no	—
836	C₄×D₅	—	4	4	no	—
837	C₄×D₅	—	4	4	no	—
838	C₄×D₅	—	4	4	no	—
839	C₄×D₅	—	4	4	no	—
840	C₄×D₅	—	4	4	no	—
841	C₂⁵	—	5	1	no	—
842	C₂³×C₄	—	5	1	no	—
843	C₂³×C₄	—	5	1	no	—
844	C₂³×C₄	—	5	1	no	—
845	C₂³×C₄	—	5	1	no	—
846	C₂³×C₄	—	5	1	no	—
847	C₂³×C₄	—	5	1	no	—
848	C₂³×C₄	—	5	1	no	—
849	C₂³×C₄	—	5	1	no	—
850	C₂³×C₄	—	5	1	no	—
851	C₂³×C₄	—	5	1	no	—
852	C₂³×C₄	—	5	1	no	—
853	C₂³×C₄	—	5	1	no	—
854	C₂³×C₄	—	5	1	no	—
855	C₂³×C₄	—	5	1	no	—
856	C₂×C₄⋊C₄	—	5	1	no	—
857	C₂×C₄⋊C₄	—	5	1	no	—
858	C₂×C₄⋊C₄	—	5	1	no	—
859	C₂×C₄⋊C₄	—	5	1	no	—
860	C₂×C₄⋊C₄	—	5	1	no	—
861	C₂×C₄⋊C₄	—	5	1	no	—
862	C₂×C₄⋊C₄	—	5	1	no	—
863	C₂×C₄⋊C₄	—	5	1	no	—
864	C₂×C₄⋊C₄	—	5	1	no	—
865	C₂×C₄⋊C₄	—	5	1	no	—
866	C₂×C₄⋊C₄	—	5	1	no	—
867	C₂×C₄⋊C₄	—	5	1	no	—
868	C₂×C₄⋊C₄	—	5	1	no	—
869	C₂×C₄⋊C₄	—	5	1	no	—
870	C₂×C₄⋊C₄	—	5	1	no	—
871	C₂×C₄⋊C₄	—	5	1	no	—
872	C₂×C₄⋊C₄	—	5	1	no	—
873	C₂×C₄⋊C₄	—	5	1	no	—
874	C₂×C₄⋊C₄	—	5	1	no	—
875	C₂×C₄⋊C₄	—	5	1	no	—
876	C₂×C₄⋊C₄	—	5	1	no	—
877	C₂×C₄⋊C₄	—	5	1	no	—
878	C₂×C₄⋊C₄	—	5	1	no	—
879	C₂×C₄⋊C₄	—	5	1	no	—
880	C₂×C₄⋊C₄	—	5	1	no	—
881	C₂×C₄⋊C₄	—	5	1	no	—
882	C₂×C₄⋊C₄	—	5	1	no	—
883	C₂×C₄⋊C₄	—	10	4	no	—
884	C₂×C₄⋊C₄	—	10	4	no	—
885	C₂×C₄⋊C₄	—	10	4	no	—
886	C₂×C₄⋊C₄	—	10	4	no	—
887	C₂×C₄⋊C₄	—	10	4	no	—
888	C₂×C₄⋊C₄	—	10	4	no	—
889	C₂×C₄⋊C₄	—	10	4	no	—
890	C₂×C₄⋊C₄	—	20	2	no	—
891	C₂×C₄⋊C₄	—	20	2	no	—
892	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
893	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
895	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
896	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
897	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
898	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
899	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
900	C₂×C₄⋊C₄	C₂²×D₅	1	1	yes	characteristic
901	C₂×C₂²⋊C₄	—	5	1	no	—
902	C₂×C₂²⋊C₄	—	5	1	no	—
903	C₂×C₂²⋊C₄	—	5	1	no	—
904	C₂×C₂²⋊C₄	—	5	1	no	—
905	C₂×C₂²⋊C₄	—	5	1	no	—
906	C₂×C₂²⋊C₄	—	5	1	no	—
907	C₂×C₂²⋊C₄	—	5	1	no	—
908	C₂×C₂²⋊C₄	—	5	1	no	—
909	C₂×C₂²⋊C₄	—	5	1	no	—
910	C₂×C₂²⋊C₄	—	5	1	no	—
911	C₂×C₂²⋊C₄	—	5	1	no	—
912	C₂×C₂²⋊C₄	—	5	1	no	—
913	C₂×C₂²⋊C₄	—	5	1	no	—
914	C₂×C₂²⋊C₄	—	5	1	no	—
915	C₂×C₂²⋊C₄	—	5	1	no	—
916	C₂×C₂²⋊C₄	—	5	1	no	—
917	C₂×C₂²⋊C₄	—	5	1	no	—
918	C₂×C₂²⋊C₄	—	5	1	no	—
919	C₂×C₂²⋊C₄	—	5	1	no	—
920	C₂×C₂²⋊C₄	—	5	1	no	—
921	C₂×C₂²⋊C₄	—	5	1	no	—
922	C₂×C₂²⋊C₄	—	10	4	no	—
923	C₂×C₂²⋊C₄	—	10	4	no	—
924	C₂×C₂²⋊C₄	—	10	4	no	—
925	C₂×C₂²⋊C₄	—	10	4	no	—
926	C₂×C₂²⋊C₄	—	10	4	no	—
927	C₂×C₂²⋊C₄	—	20	2	no	—
928	C₂×C₂²⋊C₄	—	20	2	no	—
929	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
930	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
931	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
932	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
933	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
934	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
935	C₂×C₂²⋊C₄	C₂²×D₅	1	1	yes	characteristic
936	C₂×C₄²	—	5	1	no	—
937	C₂×C₄²	—	5	1	no	—
938	C₂×C₄²	—	5	1	no	—
939	C₂×C₄²	—	5	1	no	—
940	C₂×C₄²	—	5	1	no	—
941	C₂×C₄²	—	5	1	no	—
942	C₂×C₄²	—	5	1	no	—
943	C₂×C₄²	—	5	1	no	—
944	C₂×C₄²	—	5	1	no	—
945	C₂×C₄²	—	5	1	no	—
946	C₂×C₄²	—	5	1	no	—
947	C₂×C₄²	—	5	1	no	—
948	C₂×C₄²	—	5	1	no	—
949	C₂×C₄²	—	5	1	no	—
950	C₂×C₄²	—	5	1	no	—
951	C₂×C₄²	—	10	4	no	—
952	C₂×C₄²	—	10	4	no	—
953	C₂×C₄²	—	10	4	no	—
954	C₂×C₄²	—	20	2	no	—
955	C₂×C₄²	—	20	2	no	—
956	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
957	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
958	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
959	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
960	C₂×C₄²	C₂²×D₅	1	1	yes	characteristic
961	#95	—	5	1	no	—
962	#95	—	5	1	no	—
963	#95	—	5	1	no	—
964	#95	—	5	1	no	—
965	#95	—	5	1	no	—
966	#95	—	5	1	no	—
967	#95	—	5	1	no	—
968	#95	—	5	1	no	—
969	#95	—	5	1	no	—
970	#95	—	5	1	no	—
971	#95	—	5	1	no	—
972	#95	—	5	1	no	—
973	#95	—	5	1	no	—
974	#95	—	5	1	no	—
975	#95	—	5	1	no	—
976	#95	—	5	1	no	—
977	#95	—	5	1	no	—
978	#95	—	5	1	no	—
979	#95	—	5	1	no	—
980	#95	—	5	1	no	—
981	#95	—	5	1	no	—
982	#95	—	5	1	no	—
983	#95	—	5	1	no	—
984	#95	—	5	1	no	—
985	#95	—	5	1	no	—
986	#95	—	5	1	no	—
987	#95	—	5	1	no	—
988	#95	—	5	1	no	—
989	#95	—	5	1	no	—
990	#95	—	5	1	no	—
991	#95	—	5	1	no	—
992	#95	—	5	1	no	—
993	#95	—	5	1	no	—
994	#95	—	5	1	no	—
995	#95	—	5	1	no	—
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	C₂²×D₅	1	1	yes	characteristic
1004	#95	C₂²×D₅	1	1	yes	characteristic
1005	#95	C₂²×D₅	1	1	yes	characteristic
1006	#95	C₂²×D₅	1	1	yes	characteristic
1007	#95	C₂²×D₅	1	1	yes	characteristic
1008	#95	C₂²×D₅	1	1	yes	characteristic
1009	#95	C₂²×D₅	1	1	yes	characteristic
1010	#95	C₂²×D₅	1	1	yes	characteristic
1011	#95	C₂²×D₅	1	1	yes	characteristic
1012	#95	C₂²×D₅	1	1	yes	characteristic
1013	#95	C₂²×D₅	1	1	yes	characteristic
1014	#95	C₂²×D₅	1	1	yes	characteristic
1015	#95	C₂²×D₅	1	1	yes	characteristic
1016	#95	C₂²×D₅	1	1	yes	characteristic
1017	C₂²×C₅	—	4	1	no	—
1018	C₂²×C₅	—	4	1	no	—
1019	C₂²×C₅	—	4	1	no	—
1020	C₂²×C₅	—	4	1	no	—
1021	C₂²×C₅	—	4	1	no	—
1022	C₂²×C₅	—	4	1	no	—
1023	C₂²×C₅	—	4	1	no	—
1024	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1025	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1026	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1027	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1028	C₂²×C₅	C₂²×#41	1	1	yes	characteristic
1029	C₂²×C₅	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1030	C₂²×C₅	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1031	C₂×D₅	—	4	1	no	—
1032	C₂×D₅	—	4	1	no	—
1033	C₂×D₅	—	4	1	no	—
1034	C₂×D₅	—	4	1	no	—
1035	C₂×D₅	—	4	1	no	—
1036	C₂×D₅	—	4	1	no	—
1037	C₂×D₅	—	4	1	no	—
1038	C₂×D₅	—	8	8	no	—
1039	C₂×D₅	#529	1	4	yes	—
1040	C₂×D₅	#529	1	4	yes	—
1041	C₂×D₅	#542	1	4	yes	—
1042	C₂×D₅	#552	1	4	yes	—
1043	C₂×D₅	#553	1	4	yes	—
1044	C₂×D₅	#553	1	4	yes	—
1045	C₂×D₅	#556	1	4	yes	—
1046	C₄×C₅	—	2	2	no	—
1047	C₄×C₅	—	2	2	no	—
1048	C₄×C₅	—	2	2	no	—
1049	C₄×C₅	—	2	2	no	—
1050	C₄×C₅	—	2	2	no	—
1051	C₄×C₅	—	4	1	no	—
1052	C₄×C₅	—	4	1	no	—
1053	C₄×C₅	—	4	1	no	—
1054	C₄×C₅	—	4	1	no	—
1055	C₄×C₅	—	4	1	no	—
1056	C₄×C₅	—	4	1	no	—
1057	C₄×C₅	—	4	1	no	—
1058	C₄×C₅	—	4	1	no	—
1059	C₄×C₅	—	4	1	no	—
1060	Dic₅	—	2	2	no	—
1061	Dic₅	—	2	2	no	—
1062	Dic₅	—	2	2	no	—
1063	Dic₅	—	2	2	no	—
1064	Dic₅	—	2	2	no	—
1065	Dic₅	—	4	1	no	—
1066	Dic₅	—	4	1	no	—
1067	Dic₅	—	4	1	no	—
1068	Dic₅	—	4	1	no	—
1069	Dic₅	—	4	1	no	—
1070	Dic₅	—	4	1	no	—
1071	Dic₅	—	4	1	no	—
1072	Dic₅	—	4	1	no	—
1073	Dic₅	—	4	1	no	—
1074	C₂⁴	—	5	1	no	—
1075	C₂⁴	—	5	1	no	—
1076	C₂⁴	—	10	2	no	—
1077	C₂⁴	—	10	2	no	—
1078	C₂⁴	—	10	2	no	—
1079	C₂⁴	—	10	2	no	—
1080	C₂⁴	—	10	2	no	—
1081	C₂⁴	—	10	2	no	—
1082	C₂⁴	—	10	2	no	—
1083	C₂⁴	C₂³×D₅	1	1	yes	characteristic
1084	C₂²×C₄	—	5	1	no	—
1085	C₂²×C₄	—	5	1	no	—
1086	C₂²×C₄	—	5	1	no	—
1087	C₂²×C₄	—	5	1	no	—
1088	C₂²×C₄	—	5	1	no	—
1089	C₂²×C₄	—	5	4	no	—
1090	C₂²×C₄	—	5	4	no	—
1091	C₂²×C₄	—	5	4	no	—
1092	C₂²×C₄	—	5	4	no	—
1093	C₂²×C₄	—	5	4	no	—
1094	C₂²×C₄	—	5	1	no	—
1095	C₂²×C₄	—	5	1	no	—
1096	C₂²×C₄	—	5	1	no	—
1097	C₂²×C₄	—	5	1	no	—
1098	C₂²×C₄	—	5	1	no	—
1099	C₂²×C₄	—	5	1	no	—
1100	C₂²×C₄	—	5	1	no	—
1101	C₂²×C₄	—	5	1	no	—
1102	C₂²×C₄	—	5	1	no	—
1103	C₂²×C₄	—	10	2	no	—
1104	C₂²×C₄	—	10	2	no	—
1105	C₂²×C₄	—	10	2	no	—
1106	C₂²×C₄	—	10	2	no	—
1107	C₂²×C₄	—	10	2	no	—
1108	C₂²×C₄	—	10	2	no	—
1109	C₂²×C₄	—	10	2	no	—
1110	C₂²×C₄	—	10	2	no	—
1111	C₂²×C₄	—	10	2	no	—
1112	C₂²×C₄	—	10	2	no	—
1113	C₂²×C₄	—	10	2	no	—
1114	C₂²×C₄	—	10	2	no	—
1115	C₂²×C₄	—	10	2	no	—
1116	C₂²×C₄	—	10	2	no	—
1117	C₂²×C₄	—	10	2	no	—
1118	C₂²×C₄	—	10	2	no	—
1119	C₂²×C₄	—	10	2	no	—
1120	C₂²×C₄	—	10	2	no	—
1121	C₂²×C₄	—	10	2	no	—
1122	C₂²×C₄	—	10	2	no	—
1123	C₂²×C₄	—	10	2	no	—
1124	C₂²×C₄	—	10	2	no	—
1125	C₂²×C₄	—	10	2	no	—
1126	C₂²×C₄	—	10	2	no	—
1127	C₂²×C₄	—	10	2	no	—
1128	C₂²×C₄	—	10	2	no	—
1129	C₂²×C₄	—	10	2	no	—
1130	C₂²×C₄	—	10	2	no	—
1131	C₂²×C₄	—	10	2	no	—
1132	C₂²×C₄	—	10	2	no	—
1133	C₂²×C₄	—	10	2	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	C₂³×D₅	1	1	yes	characteristic
1141	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1142	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1143	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1144	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1148	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1152	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1153	C₂²×C₄	C₂³×D₅	1	1	yes	characteristic
1154	C₄⋊C₄	—	2	2	no	—
1155	C₄⋊C₄	—	2	2	no	—
1156	C₄⋊C₄	—	2	2	no	—
1157	C₄⋊C₄	—	2	2	no	—
1158	C₄⋊C₄	—	2	2	no	—
1159	C₄⋊C₄	—	2	2	no	—
1160	C₄⋊C₄	—	2	2	no	—
1161	C₄⋊C₄	—	4	1	no	—
1162	C₄⋊C₄	—	4	1	no	—
1163	C₄⋊C₄	—	10	2	no	—
1164	C₄⋊C₄	—	10	2	no	—
1165	C₄⋊C₄	—	10	2	no	—
1166	C₄⋊C₄	—	10	2	no	—
1167	C₄⋊C₄	—	10	2	no	—
1168	C₄⋊C₄	—	10	2	no	—
1169	C₄⋊C₄	—	10	2	no	—
1170	C₄⋊C₄	—	10	2	no	—
1171	C₄⋊C₄	—	10	2	no	—
1172	C₄⋊C₄	—	10	2	no	—
1173	C₄⋊C₄	—	10	2	no	—
1174	C₄⋊C₄	—	10	2	no	—
1175	C₄⋊C₄	—	10	2	no	—
1176	C₄⋊C₄	—	10	2	no	—
1177	C₄⋊C₄	—	10	2	no	—
1178	C₄⋊C₄	—	10	2	no	—
1179	C₄⋊C₄	—	10	2	no	—
1180	C₄⋊C₄	—	10	2	no	—
1181	C₄⋊C₄	—	10	2	no	—
1182	C₄⋊C₄	—	10	2	no	—
1183	C₄⋊C₄	—	10	2	no	—
1184	C₄⋊C₄	—	20	1	no	—
1185	C₄⋊C₄	—	20	1	no	—
1186	C₄⋊C₄	—	20	1	no	—
1187	C₄⋊C₄	—	20	1	no	—
1188	C₄⋊C₄	—	20	1	no	—
1189	C₄⋊C₄	—	20	1	no	—
1190	C₂²⋊C₄	—	2	2	no	—
1191	C₂²⋊C₄	—	2	2	no	—
1192	C₂²⋊C₄	—	2	2	no	—
1193	C₂²⋊C₄	—	2	2	no	—
1194	C₂²⋊C₄	—	2	2	no	—
1195	C₂²⋊C₄	—	4	1	no	—
1196	C₂²⋊C₄	—	4	1	no	—
1197	C₂²⋊C₄	—	10	2	no	—
1198	C₂²⋊C₄	—	10	2	no	—
1199	C₂²⋊C₄	—	10	2	no	—
1200	C₂²⋊C₄	—	10	2	no	—
1201	C₂²⋊C₄	—	10	2	no	—
1202	C₂²⋊C₄	—	10	2	no	—
1203	C₂²⋊C₄	—	10	2	no	—
1204	C₂²⋊C₄	—	10	2	no	—
1205	C₂²⋊C₄	—	10	2	no	—
1206	C₂²⋊C₄	—	10	2	no	—
1207	C₂²⋊C₄	—	10	2	no	—
1208	C₂²⋊C₄	—	10	2	no	—
1209	C₂²⋊C₄	—	10	2	no	—
1210	C₂²⋊C₄	—	10	2	no	—
1211	C₂²⋊C₄	—	10	2	no	—
1212	C₂²⋊C₄	—	20	1	no	—
1213	C₂²⋊C₄	—	20	1	no	—
1214	C₂²⋊C₄	—	20	1	no	—
1215	C₂²⋊C₄	—	20	1	no	—
1216	C₂²⋊C₄	—	20	1	no	—
1217	C₂²⋊C₄	—	20	1	no	—
1218	C₄²	—	2	2	no	—
1219	C₄²	—	2	2	no	—
1220	C₄²	—	2	2	no	—
1221	C₄²	—	4	1	no	—
1222	C₄²	—	4	1	no	—
1223	C₄²	—	10	2	no	—
1224	C₄²	—	10	2	no	—
1225	C₄²	—	10	2	no	—
1226	C₄²	—	10	2	no	—
1227	C₄²	—	10	2	no	—
1228	C₄²	—	10	2	no	—
1229	C₄²	—	10	2	no	—
1230	C₄²	—	10	2	no	—
1231	C₄²	—	10	2	no	—
1232	C₄²	—	20	1	no	—
1233	C₄²	—	20	1	no	—
1234	C₄²	—	20	1	no	—
1235	C₄²	—	20	1	no	—
1236	C₄²	—	20	1	no	—
1237	C₄²	—	20	1	no	—
1238	C₂×C₅	—	8	1	no	—
1239	C₂×C₅	C₂×#529	1	1	yes	characteristic
1240	C₂×C₅	C₂×#529	1	1	yes	characteristic
1241	C₂×C₅	C₂×#542	1	1	yes	characteristic
1242	C₂×C₅	C₂×#552	1	1	yes	characteristic
1243	C₂×C₅	C₂×#553	1	1	yes	characteristic
1244	C₂×C₅	C₂×#553	1	1	yes	characteristic
1245	C₂×C₅	C₂×#556	1	1	yes	characteristic
1246	D₅	—	8	1	no	—
1247	D₅	#2525	1	8	yes	direct product factor
1248	C₂³	—	2	1	no	—
1249	C₂³	—	2	1	no	—
1250	C₂³	—	2	1	no	—
1251	C₂³	—	2	1	no	—
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	1	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	5	2	no	—
1256	C₂³	—	5	2	no	—
1257	C₂³	—	5	2	no	—
1258	C₂³	—	5	2	no	—
1259	C₂³	—	5	2	no	—
1260	C₂³	—	5	2	no	—
1261	C₂³	—	5	2	no	—
1262	C₂³	—	10	1	no	—
1263	C₂³	—	10	1	no	—
1264	C₂³	—	10	1	no	—
1265	C₂³	—	10	1	no	—
1266	C₂³	—	10	1	no	—
1267	C₂³	—	10	1	no	—
1268	C₂³	—	10	1	no	—
1269	C₂³	—	20	4	no	—
1270	C₂³	—	20	4	no	—
1271	C₂³	—	20	4	no	—
1272	C₂³	—	20	4	no	—
1273	C₂³	—	20	4	no	—
1274	C₂³	—	20	4	no	—
1275	C₂³	—	20	4	no	—
1276	C₂³	C₂⁴×D₅	1	1	yes	characteristic
1277	C₂×C₄	—	2	1	no	—
1278	C₂×C₄	—	2	1	no	—
1279	C₂×C₄	—	2	1	no	—
1280	C₂×C₄	—	2	1	no	—
1281	C₂×C₄	—	2	1	no	—
1282	C₂×C₄	—	2	1	no	—
1283	C₂×C₄	—	2	1	no	—
1284	C₂×C₄	—	2	1	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	—	5	2	no	—
1315	C₂×C₄	—	5	2	no	—
1316	C₂×C₄	—	5	2	no	—
1317	C₂×C₄	—	5	2	no	—
1318	C₂×C₄	—	5	2	no	—
1319	C₂×C₄	—	10	8	no	—
1320	C₂×C₄	—	10	8	no	—
1321	C₂×C₄	—	10	8	no	—
1322	C₂×C₄	—	10	8	no	—
1323	C₂×C₄	—	10	8	no	—
1324	C₂×C₄	—	10	1	no	—
1325	C₂×C₄	—	10	1	no	—
1326	C₂×C₄	—	10	1	no	—
1327	C₂×C₄	—	10	1	no	—
1328	C₂×C₄	—	10	1	no	—
1329	C₂×C₄	—	10	1	no	—
1330	C₂×C₄	—	10	1	no	—
1331	C₂×C₄	—	10	1	no	—
1332	C₂×C₄	—	10	1	no	—
1333	C₂×C₄	—	10	1	no	—
1334	C₂×C₄	—	10	1	no	—
1335	C₂×C₄	—	10	1	no	—
1336	C₂×C₄	—	10	1	no	—
1337	C₂×C₄	—	10	1	no	—
1338	C₂×C₄	—	10	1	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	—	20	4	no	—
1362	C₂×C₄	—	20	4	no	—
1363	C₂×C₄	—	20	4	no	—
1364	C₂×C₄	—	20	4	no	—
1365	C₂×C₄	—	20	4	no	—
1366	C₂×C₄	—	20	4	no	—
1367	C₂×C₄	—	20	4	no	—
1368	C₂×C₄	—	20	4	no	—
1369	C₂×C₄	—	20	4	no	—
1370	C₂×C₄	D₅×#41	1	2	yes	—
1371	C₂×C₄	D₅×#41	1	2	yes	—
1372	C₂×C₄	D₅×#41	1	2	yes	—
1373	C₂×C₄	D₅×#41	1	2	yes	—
1374	C₂×C₄	D₅×#41	1	2	yes	—
1375	C₅	C₂×#2525	1	1	yes	characteristic, complemented, Sylow
1376	C₂²	—	4	1	no	—
1377	C₂²	—	4	1	no	—
1378	C₂²	—	4	1	no	—
1379	C₂²	—	4	1	no	—
1380	C₂²	—	4	1	no	—
1381	C₂²	—	4	1	no	—
1382	C₂²	—	4	1	no	—
1383	C₂²	—	5	4	no	—
1384	C₂²	—	5	4	no	—
1385	C₂²	—	5	4	no	—
1386	C₂²	—	5	4	no	—
1387	C₂²	—	5	4	no	—
1388	C₂²	—	5	4	no	—
1389	C₂²	—	5	4	no	—
1390	C₂²	—	20	1	no	—
1391	C₂²	—	20	1	no	—
1392	C₂²	—	20	1	no	—
1393	C₂²	—	20	1	no	—
1394	C₂²	—	20	1	no	—
1395	C₂²	—	20	1	no	—
1396	C₂²	—	20	1	no	—
1397	C₂²	—	40	8	no	—
1398	C₂²	C₂×D₅×#41	1	1	yes	characteristic
1399	C₂²	C₂×D₅×#41	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×H(5,𝔽₂)	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	—	4	1	no	—
1411	C₄	—	4	1	no	—
1412	C₄	—	4	1	no	—
1413	C₄	—	4	1	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	—	10	2	no	—
1420	C₄	—	10	2	no	—
1421	C₄	—	10	2	no	—
1422	C₄	—	10	2	no	—
1423	C₄	—	10	2	no	—
1424	C₄	—	20	1	no	—
1425	C₄	—	20	1	no	—
1426	C₄	—	20	1	no	—
1427	C₄	—	20	1	no	—
1428	C₄	—	20	1	no	—
1429	C₄	—	20	1	no	—
1430	C₄	—	20	1	no	—
1431	C₄	—	20	1	no	—
1432	C₄	—	20	1	no	—
1433	C₂	—	5	8	no	—
1434	C₂	—	8	1	no	—
1435	C₂	—	40	1	no	—
1436	C₂	D₅×#529	1	1	yes	characteristic
1437	C₂	D₅×#529	1	1	yes	characteristic
1438	C₂	D₅×#542	1	1	yes	characteristic
1439	C₂	D₅×#552	1	1	yes	characteristic
1440	C₂	D₅×#553	1	1	yes	characteristic
1441	C₂	D₅×#553	1	1	yes	characteristic
1442	C₂	D₅×#556	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₅
commutator, socle, cosocle	C₂³×C₅	C₂⁵
Fitting	C₅×#2525	C₂
prime radical	C₂⁴×D₅	C₂³
hypercenter	#2525	D₅
hypocenter	C₅	C₂×#2525
LCS	G ▷ C₂³×C₅ ▷ C₅
UCS	C₁ ◁ C₂³ ◁ #2525

Complements

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

N	H ≅ G/N	type
1. C₅×#2525	C₂	semidirect
2. D₅×#400	C₂	semidirect
3. #10609896	C₂	semidirect
4. D₅×#398	C₂	semidirect
5. #10609510	C₂	semidirect
7. #10609235	C₂	semidirect
9. #10609042	C₂	semidirect
10. D₅×#389	C₂	semidirect
11. #10607784	C₂	semidirect
17. #10607304	C₂	semidirect
18. #10607303	C₂	semidirect
19. #10607302	C₂	semidirect
20. #10607301	C₂	semidirect
21. #10607300	C₂	semidirect
22. D₅×#387	C₂	semidirect
23. D₅×#387	C₂	semidirect
24. #10606785	C₂	semidirect
25. #10606784	C₂	semidirect
26. D₅×#383	C₂	semidirect
27. #10606003	C₂	semidirect
28. C₄×D₅×C₄⋊C₄	C₂	semidirect
29. C₄×D₅×C₄⋊C₄	C₂	semidirect
30. #10605436	C₂	semidirect
31. #10605435	C₂	semidirect
53. C₅×#400	C₂²	semidirect
54. C₅×#398	C₂²	semidirect
57. C₅×#389	C₂²	semidirect
63. C₅×#387	C₂²	semidirect
64. C₅×#387	C₂²	semidirect
65. C₅×#383	C₂²	semidirect
66. C₄×C₅×C₄⋊C₄	C₂²	semidirect
67. C₄×C₅×C₄⋊C₄	C₂²	semidirect
77. #65275	C₂²	semidirect
78. #65274	C₂²	semidirect
79. #65273	C₂²	semidirect
80. #65273	C₂²	semidirect
81. #65272	C₂²	semidirect
82. #65271	C₂²	semidirect
83. #65270	C₂²	semidirect
84. #65270	C₂²	semidirect
85. #65269	C₂²	semidirect
86. #65267	C₂²	semidirect
87. #65267	C₂²	semidirect
88. C₄⋊C₄×Dic₅	C₂²	semidirect
89. C₄⋊C₄×Dic₅	C₂²	semidirect
90. C₄⋊C₄×Dic₅	C₂²	semidirect
91. C₄⋊C₄×Dic₅	C₂²	semidirect
92. #65262	C₂²	semidirect
93. #65261	C₂²	semidirect
94. #65261	C₂²	semidirect
121. #65226	C₂²	semidirect
122. C₄×C₄⋊Dic₅	C₂²	semidirect
123. C₄×C₄⋊Dic₅	C₂²	semidirect
124. #65222	C₂²	semidirect
125. #65222	C₂²	semidirect
126. C₄×#683	C₂²	semidirect
127. C₄×#683	C₂²	semidirect
128. C₄×#683	C₂²	semidirect
129. C₄×#683	C₂²	semidirect
130. #65217	C₂²	semidirect
159. #64950	C₂²	semidirect
160. #64949	C₂²	semidirect
161. #64949	C₂²	semidirect
162. #64948	C₂²	semidirect
163. #64947	C₂²	semidirect
164. #64947	C₂²	semidirect
165. #64946	C₂²	semidirect
166. #64946	C₂²	semidirect
167. #64944	C₂²	semidirect
168. #64944	C₂²	semidirect
169. #64943	C₂²	semidirect
170. #64943	C₂²	semidirect
171. #64942	C₂²	semidirect
172. #64942	C₂²	semidirect
173. #64941	C₂²	semidirect
174. #64941	C₂²	semidirect
175. #64940	C₂²	semidirect
176. #64940	C₂²	semidirect
177. #64940	C₂²	semidirect
178. #64940	C₂²	semidirect
179. #64940	C₂²	semidirect
180. #64940	C₂²	semidirect
181. #64938	C₂²	semidirect
182. #64938	C₂²	semidirect
183. #64938	C₂²	semidirect
184. #64938	C₂²	semidirect
185. #64936	C₂²	semidirect
186. #64936	C₂²	semidirect
379. #2525	D₅	direct (N × H)
587. #400	C₂×D₅	semidirect
595. #398	C₂×D₅	semidirect
619. #389	C₂×D₅	semidirect
674. #387	C₂×D₅	semidirect
675. #387	C₂×D₅	semidirect
683. #383	C₂×D₅	semidirect
698. C₄×C₄⋊C₄	C₂×D₅	semidirect
699. C₄×C₄⋊C₄	C₂×D₅	semidirect
1247. D₅	#2525	direct (N × H)
1375. C₅	C₂×#2525	semidirect

Maximal subgroups

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

subgroup	index
C₅×#2525	2
D₅×#400	2
#10609896	2
D₅×#398	2
#10609510	2
D₅×#397	2
#10609235	2
D₅×#396	2
#10609042	2
D₅×#389	2
#10607784	2
D₅×#388	2
#10607304	2
#10607303	2
#10607302	2
#10607301	2
#10607300	2
D₅×#387	2
#10606785	2
#10606784	2
D₅×#383	2
#10606003	2
C₄×D₅×C₄⋊C₄	2
#10605436	2
#10605435	2
C₂×#2525	5

Subgroups — D5×#2525 #12268706

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅×#2525 #12268706