Finite Group Databasebeta

← #13044146

Subgroups — #13044146

Order 1280.

2388 conjugacy classes of subgroups.

The subgroup lattice has 2134 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#551C211yesmaximal, characteristic
2#10617359C211yesmaximal, characteristic, complemented
3#10617359C211yesmaximal, characteristic, complemented
4#10617358C211yesmaximal, characteristic, complemented
5AGL(1,𝔽5)×#126C211yesmaximal, characteristic, complemented
6#10617327C211yesmaximal, characteristic, complemented
7AGL(1,𝔽5)×#124C211yesmaximal, characteristic, complemented
8#10617307C211yesmaximal, characteristic, complemented
9#10617306C211yesmaximal, characteristic, complemented
10#10617306C211yesmaximal, characteristic, complemented
11#10617305C211yesmaximal, characteristic, complemented
12#10617305C211yesmaximal, characteristic, complemented
13AGL(1,𝔽5)×#123C211yesmaximal, characteristic, complemented
14#10617286C211yesmaximal, characteristic, complemented
15#10617285C211yesmaximal, characteristic, complemented
16#10617284C211yesmaximal, characteristic, complemented
17#10617283C211yesmaximal, characteristic, complemented
18#10617223C211yesmaximal, characteristic
19#10617222C211yesmaximal, characteristic
20#10617180C211yesmaximal, characteristic, complemented
21#10617179C211yesmaximal, characteristic, complemented
22#10617174C211yesmaximal, characteristic, complemented
23#10617172C211yesmaximal, characteristic, complemented
24#10617133C211yesmaximal, characteristic, complemented
25#10617132C211yesmaximal, characteristic, complemented
26#10617129C211yesmaximal, characteristic, complemented
27AGL(1,𝔽5)×#117C211yesmaximal, characteristic, complemented
28#10617072C211yesmaximal, characteristic, complemented
29#10617072C211yesmaximal, characteristic, complemented
30C2×#65700C211yesmaximal, characteristic, complemented
31#10617067C211yesmaximal, characteristic, complemented
32C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
33C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
34C22×C22⋊AGL(1,𝔽5)C2211yescharacteristic
35C2×Q8×AGL(1,𝔽5)C2211yescharacteristic, complemented
36C2×D4×AGL(1,𝔽5)C2211yescharacteristic
37C2×D4×AGL(1,𝔽5)C2211yescharacteristic
38C2×D4×AGL(1,𝔽5)C2211yescharacteristic
39C2×#4130C2211yescharacteristic
40C2×#4130C2211yescharacteristic
41C2×#4130C2211yescharacteristic, complemented
42C22×C4⋊AGL(1,𝔽5)C2211yescharacteristic
43C22×C4×AGL(1,𝔽5)C2211yescharacteristic
44C5×#551C411yescharacteristic, complemented
45#66039C411yescharacteristic, complemented
46#66039C411yescharacteristic, complemented
47D5×#126C2211yescharacteristic
48D5×#126C2211yescharacteristic
49#66013C411yescharacteristic, complemented
50D5×#124C2211yescharacteristic
51#65993C411yescharacteristic, complemented
52#65992C411yescharacteristic, complemented
53#65992C411yescharacteristic, complemented
54D5×#123C2211yescharacteristic
55D5×#123C2211yescharacteristic
56D5×#123C2211yescharacteristic
57#65971C411yescharacteristic, complemented
58#65971C411yescharacteristic, complemented
59D5×C22⋊Q8C2211yescharacteristic
60D5×C22⋊Q8C2211yescharacteristic
61D5×#120C2211yescharacteristic
62#65921C411yescharacteristic, complemented
63#65890C411yescharacteristic, complemented
64#65890C411yescharacteristic, complemented
65C4×D4×D5C2211yescharacteristic
66C4×D4×D5C2211yescharacteristic
67#65861C411yescharacteristic, complemented
68#65861C411yescharacteristic, complemented
69D5×#117C2211yescharacteristic
70D5×#117C2211yescharacteristic
71#65829C411yescharacteristic, complemented
72#65829C411yescharacteristic, complemented
73C2×D5×C22⋊C4C2211yescharacteristic
74C2×D5×C22⋊C4C2211yescharacteristic
75#65800C2211yescharacteristic
76(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
77(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
78(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic, complemented
79#65780C2211yescharacteristic
80#65780C2211yescharacteristic
81#65780C2211yescharacteristic
82#65779C2211yescharacteristic
83#65779C2211yescharacteristic
84#65779C2211yescharacteristic
85#65779C2211yescharacteristic
86#65779C2211yescharacteristic
87#65779C2211yescharacteristic
88#65765C2211yescharacteristic
89#65765C2211yescharacteristic
90#65765C2211yescharacteristic, complemented
91#65764C2211yescharacteristic
92#65764C2211yescharacteristic
93C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
94C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
95C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
96C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
97C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
98C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
99C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
100C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
101C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
102C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic, complemented
103#65712C2211yescharacteristic, complemented
104#65712C2211yescharacteristic, complemented
105#65712C2211yescharacteristic, complemented
106#65712C2211yescharacteristic, complemented
107#65712C2211yescharacteristic, complemented
108#65712C2211yescharacteristic, complemented
109#65711C2211yescharacteristic, complemented
110#65711C2211yescharacteristic, complemented
111#65711C2211yescharacteristic, complemented
112#65711C2211yescharacteristic, complemented
113#65711C2211yescharacteristic, complemented
114#65711C2211yescharacteristic, complemented
115#65711C2211yescharacteristic, complemented
116#65711C2211yescharacteristic, complemented
117#65711C2211yescharacteristic, complemented
118#65711C2211yescharacteristic, complemented
119#65711C2211yescharacteristic, complemented
120#65711C2211yescharacteristic, complemented
121#65711C2211yescharacteristic, complemented
122#65711C2211yescharacteristic, complemented
123#65711C2211yescharacteristic, complemented
124#65711C2211yescharacteristic, complemented
125C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
126C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
127C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
128C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
129C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
130C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
131C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
132C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
133C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
134C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
135#65700C2211yescharacteristic
136#65700C2211yescharacteristic
137#65700C2211yescharacteristic
138#65700C2211yescharacteristic
139#65700C2211yescharacteristic
140#65700C2211yescharacteristic
141#65700C2211yescharacteristic
142#65700C2211yescharacteristic
143#65700C2211yescharacteristic
144#65700C2211yescharacteristic
145#65700C2211yescharacteristic
146#65700C2211yescharacteristic
147#65700C2211yescharacteristic
148#65700C2211yescharacteristic
149#65700C2211yescharacteristic
150#65700C2211yescharacteristic
151#65700C2211yescharacteristic
152#65700C2211yescharacteristic
153#65700C2211yescharacteristic
154#65700C2211yescharacteristic
155#65700C2211yescharacteristic
156#65700C2211yescharacteristic
157#65700C2211yescharacteristic, complemented
158#65700C2211yescharacteristic, complemented
159#65700C2211yescharacteristic, complemented
160#65700C2211yescharacteristic, complemented
161#65700C2211yescharacteristic, complemented
162#65700C2211yescharacteristic, complemented
163#65699C2211yescharacteristic
164#65699C2211yescharacteristic
165#65699C2211yescharacteristic
166#65699C2211yescharacteristic
167#65699C2211yescharacteristic
168#65699C2211yescharacteristic
169#65699C2211yescharacteristic
170#65699C2211yescharacteristic, complemented
171C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
172C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
173C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
174C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
175C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
176C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
177C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
178C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
179C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
180C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
181C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
182C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
183C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
184C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
185C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic
186C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
187C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
188C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
189C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
190C22⋊C4×AGL(1,𝔽5)C2211yescharacteristic, complemented
191#65690C2211yescharacteristic, complemented
192#65689C2211yescharacteristic, complemented
193#65689C2211yescharacteristic, complemented
194C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
195C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
196C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic, complemented
197#65686C2211yescharacteristic, complemented
198#65686C2211yescharacteristic, complemented
199#65686C2211yescharacteristic, complemented
200#65686C2211yescharacteristic, complemented
201C42×AGL(1,𝔽5)C2211yescharacteristic, complemented
202C42×AGL(1,𝔽5)C2211yescharacteristic, complemented
203#34303—51nomaximal, Sylow
204C24×D5C2311yescharacteristic
205C23×AGL(1,𝔽5)C2311yescharacteristic
206C23×AGL(1,𝔽5)C2311yescharacteristic
207C23×AGL(1,𝔽5)C2311yescharacteristic
208C23×AGL(1,𝔽5)C2311yescharacteristic
209C23×AGL(1,𝔽5)C2311yescharacteristic
210C23×AGL(1,𝔽5)C2311yescharacteristic
211C23×AGL(1,𝔽5)C2311yescharacteristic
212C23×AGL(1,𝔽5)C2311yescharacteristic
213C2×Q8×D5C2311yescharacteristic
214C2×D4×D5C2311yescharacteristic
215C2×D4×D5C2311yescharacteristic
216C2×D4×D5C2311yescharacteristic
217C22×C4×D5C2311yescharacteristic
218C22×C4×D5C2311yescharacteristic
219C22×C4×D5C2311yescharacteristic
220C22×C4×D5C2311yescharacteristic
221C22×C4×D5C2311yescharacteristic
222C2×C22⋊AGL(1,𝔽5)—24no—
223C2×C22⋊AGL(1,𝔽5)—24no—
224C2×C22⋊AGL(1,𝔽5)—42no—
225C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
226C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
227C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
228C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
229C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
230C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
231C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
232C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
233C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
234C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
235C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
236C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
237C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
238C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
239C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
240C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
241C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
242C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
243C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
244C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
245C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
246C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
247C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
248C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
249Q8×AGL(1,𝔽5)—42no—
250D4×AGL(1,𝔽5)—24no—
251D4×AGL(1,𝔽5)—24no—
252D4×AGL(1,𝔽5)—42no—
253#4130—24no—
254#4130—42no—
255#4130—42no—
256C2×C4⋊AGL(1,𝔽5)—42no—
257C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
258C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
259C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
260C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
261C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
262C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
263C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
264C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
265C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
266C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
267C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
268C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
269C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
270C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
271C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
272C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
273C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
274C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
275C2×C4×AGL(1,𝔽5)—24no—
276C2×C4×AGL(1,𝔽5)C2311yescharacteristic
277C2×C4×AGL(1,𝔽5)C2311yescharacteristic
278C2×C4×AGL(1,𝔽5)C2311yescharacteristic
279C2×C4×AGL(1,𝔽5)C2311yescharacteristic
280C2×C4×AGL(1,𝔽5)C2311yescharacteristic
281C2×C4×AGL(1,𝔽5)C2311yescharacteristic
282C2×C4×AGL(1,𝔽5)C2311yescharacteristic
283C2×C4×AGL(1,𝔽5)C2311yescharacteristic
284C2×C4×AGL(1,𝔽5)C2311yescharacteristic
285C2×C4×AGL(1,𝔽5)C2311yescharacteristic
286C2×C4×AGL(1,𝔽5)C2311yescharacteristic
287C2×C4×AGL(1,𝔽5)C2311yescharacteristic
288C2×C4×AGL(1,𝔽5)C2311yescharacteristic
289C2×C4×AGL(1,𝔽5)C2311yescharacteristic
290C2×C4×AGL(1,𝔽5)C2311yescharacteristic
291C2×C4×AGL(1,𝔽5)C2311yescharacteristic
292C2×C4×AGL(1,𝔽5)C2311yescharacteristic
293C2×C4×AGL(1,𝔽5)C2311yescharacteristic
294C2×C4×AGL(1,𝔽5)C2311yescharacteristic
295C2×C4×AGL(1,𝔽5)C2311yescharacteristic
296C2×C4×AGL(1,𝔽5)C2311yescharacteristic
297C2×C4×AGL(1,𝔽5)C2311yescharacteristic
298C2×C4×AGL(1,𝔽5)C2311yescharacteristic
299C2×C4×AGL(1,𝔽5)C2311yescharacteristic
300C2×C4×AGL(1,𝔽5)C2311yescharacteristic
301C2×C4×AGL(1,𝔽5)C2311yescharacteristic
302C5×#126C2×C411yescharacteristic, complemented
303C5×#126C2×C411yescharacteristic, complemented
304C5×#124C2×C411yescharacteristic, complemented
305C5×#123C2×C411yescharacteristic, complemented
306C5×#123C2×C411yescharacteristic, complemented
307C5×#123C2×C411yescharacteristic, complemented
308C5×C22⋊Q8C2×C411yescharacteristic, complemented
309C5×C22⋊Q8C2×C411yescharacteristic, complemented
310C5×#120C2×C411yescharacteristic
311C4×C5×D4C2×C411yescharacteristic, complemented
312C4×C5×D4C2×C411yescharacteristic, complemented
313C5×#117C2×C411yescharacteristic, complemented
314C5×#117C2×C411yescharacteristic, complemented
315C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
316C2×C5×C22⋊C4C2×C411yescharacteristic, complemented
317#4099C2×C411yescharacteristic
318C2×C22⋊Dic5C2×C411yescharacteristic, complemented
319C2×C22⋊Dic5C2×C411yescharacteristic, complemented
320#4093C2×C411yescharacteristic, complemented
321#4092C2×C411yescharacteristic, complemented
322#4092C2×C411yescharacteristic, complemented
323#4083C2×C411yescharacteristic
324#4083C2×C411yescharacteristic
325#4083C2×C411yescharacteristic
326#4082C2×C411yescharacteristic, complemented
327#4081C2×C411yescharacteristic, complemented
328#4081C2×C411yescharacteristic, complemented
329#4081C2×C411yescharacteristic, complemented
330D4×Dic5C2×C411yescharacteristic, complemented
331D4×Dic5C2×C411yescharacteristic, complemented
332#4075C2×C411yescharacteristic, complemented
333#4075C2×C411yescharacteristic, complemented
334#4075C2×C411yescharacteristic, complemented
335C4×C22⋊D5C2×C411yescharacteristic, complemented
336C4×C22⋊D5C2×C411yescharacteristic, complemented
337C4×C22⋊D5C2×C411yescharacteristic, complemented
338C4×C22⋊D5C2×C411yescharacteristic, complemented
339C2×#685C2×C411yescharacteristic, complemented
340C2×#685C2×C411yescharacteristic, complemented
341C2×#685C2×C411yescharacteristic, complemented
342C2×#685C2×C411yescharacteristic, complemented
343#4072C2×C411yescharacteristic, complemented
344#4072C2×C411yescharacteristic, complemented
345#4070C2×C411yescharacteristic, complemented
346#4070C2×C411yescharacteristic, complemented
347#4044C2×C411yescharacteristic, complemented
348#4044C2×C411yescharacteristic, complemented
349#4044C2×C411yescharacteristic, complemented
350#4044C2×C411yescharacteristic, complemented
351#4044C2×C411yescharacteristic, complemented
352#4044C2×C411yescharacteristic, complemented
353#4043C2×C411yescharacteristic, complemented
354#4043C2×C411yescharacteristic, complemented
355#4042C2×C411yescharacteristic, complemented
356#4042C2×C411yescharacteristic, complemented
357#4042C2×C411yescharacteristic, complemented
358#4042C2×C411yescharacteristic, complemented
359#4040C2×C411yescharacteristic, complemented
360#4040C2×C411yescharacteristic, complemented
361#4040C2×C411yescharacteristic, complemented
362#4040C2×C411yescharacteristic, complemented
363#4040C2×C411yescharacteristic, complemented
364#4040C2×C411yescharacteristic, complemented
365#4039C2×C411yescharacteristic, complemented
366#4039C2×C411yescharacteristic, complemented
367#4038C2×C411yescharacteristic, complemented
368#4038C2×C411yescharacteristic, complemented
369#4038C2×C411yescharacteristic, complemented
370#4038C2×C411yescharacteristic, complemented
371D5×C4⋊C4C2311yescharacteristic
372D5×C4⋊C4C2311yescharacteristic
373D5×C4⋊C4C2311yescharacteristic
374D5×C4⋊C4C2311yescharacteristic
375D5×C4⋊C4C2311yescharacteristic
376D5×C4⋊C4C2311yescharacteristic
377D5×C4⋊C4C2311yescharacteristic
378D5×C4⋊C4C2311yescharacteristic
379#4032C2×C411yescharacteristic, complemented
380#4032C2×C411yescharacteristic, complemented
381#4032C2×C411yescharacteristic, complemented
382#4031C2×C411yescharacteristic, complemented
383#4031C2×C411yescharacteristic, complemented
384#4031C2×C411yescharacteristic, complemented
385#4031C2×C411yescharacteristic, complemented
386#4029C2×C411yescharacteristic, complemented
387#4029C2×C411yescharacteristic, complemented
388#4029C2×C411yescharacteristic, complemented
389#4029C2×C411yescharacteristic, complemented
390#4029C2×C411yescharacteristic, complemented
391#4029C2×C411yescharacteristic, complemented
392#4028C2×C411yescharacteristic
393#4028C2×C411yescharacteristic
394#4028C2×C411yescharacteristic
395#4027C2×C411yescharacteristic, complemented
396#4027C2×C411yescharacteristic, complemented
397#4027C2×C411yescharacteristic, complemented
398#4027C2×C411yescharacteristic, complemented
399D5×C22⋊C4C2×C411yescharacteristic, complemented
400D5×C22⋊C4C2×C411yescharacteristic, complemented
401D5×C22⋊C4C2×C411yescharacteristic, complemented
402D5×C22⋊C4C2×C411yescharacteristic, complemented
403D5×C22⋊C4C2×C411yescharacteristic, complemented
404D5×C22⋊C4C2×C411yescharacteristic, complemented
405D5×C22⋊C4C2×C411yescharacteristic, complemented
406D5×C22⋊C4C2×C411yescharacteristic, complemented
407D5×C22⋊C4C2311yescharacteristic
408D5×C22⋊C4C2311yescharacteristic
409D5×C22⋊C4C2311yescharacteristic
410D5×C22⋊C4C2311yescharacteristic
411D5×C22⋊C4C2311yescharacteristic
412D5×C22⋊C4C2311yescharacteristic
413D5×C22⋊C4C2311yescharacteristic
414D5×C22⋊C4C2311yescharacteristic
415D5×C22⋊C4C2311yescharacteristic
416D5×C22⋊C4C2311yescharacteristic
417D5×C22⋊C4C2311yescharacteristic
418D5×C22⋊C4C2311yescharacteristic
419D5×C22⋊C4C2311yescharacteristic
420D5×C22⋊C4C2311yescharacteristic
421#4025C2×C411yescharacteristic, complemented
422#4025C2×C411yescharacteristic, complemented
423#4025C2×C411yescharacteristic, complemented
424#4025C2×C411yescharacteristic, complemented
425#4025C2×C411yescharacteristic, complemented
426#4025C2×C411yescharacteristic, complemented
427#4024C2×C411yescharacteristic, complemented
428#4024C2×C411yescharacteristic, complemented
429#4024C2×C411yescharacteristic, complemented
430#4024C2×C411yescharacteristic, complemented
431#4023C2×C411yescharacteristic, complemented
432#4023C2×C411yescharacteristic, complemented
433#4023C2×C411yescharacteristic, complemented
434#4023C2×C411yescharacteristic, complemented
435#4022C2×C411yescharacteristic, complemented
436#4022C2×C411yescharacteristic, complemented
437#4021C2×C411yescharacteristic, complemented
438C4×D20C2×C411yescharacteristic, complemented
439C4×D20C2×C411yescharacteristic, complemented
440#4018C2×C411yescharacteristic, complemented
441#4018C2×C411yescharacteristic, complemented
442#4018C2×C411yescharacteristic, complemented
443#4018C2×C411yescharacteristic, complemented
444C42×D5C2311yescharacteristic
445C42×D5C2311yescharacteristic
446C42×D5C2311yescharacteristic
447(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
448(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
449(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
450(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
451(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
452(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
453(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
454(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
455(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
456(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
457(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
458(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
459(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
460(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
461(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
462(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
463(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
464(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
465(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
466(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
467(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
468(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
469(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
470(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
471(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
472(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
473(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
474(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
475(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
476(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
477(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
478(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
479(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
480(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
481(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
482(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
483(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
484(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
485(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
486(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
487(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
488(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
489(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
490(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
491C2×#551—51no—
492#2374—51no—
493#2373—51no—
494#2373—51no—
495#2372—51no—
496#2362—51no—
497#2360—51no—
498#2359—51no—
499#2359—51no—
500#2358—51no—
501#2353—51no—
502#2352—51no—
503#2346—51no—
504#2343—51no—
505#2342—51no—
506#2342—51no—
507#2335—51no—
508#2335—51no—
509#2334—51no—
510#2332—51no—
511#2329—51no—
512#2321—51no—
513C4×#126—51no—
514C4×#124—51no—
515C4×#123—51no—
516#2298—51no—
517#2293—51no—
518C2×#388—51no—
519#2275—51no—
520#2273—51no—
521C4×#117—51no—
522C24×C5C22×C411yescharacteristic
523C23×D5—22no—
524C23×D5—22no—
525C23×D5—41no—
526C23×D5—41no—
527C23×D5—41no—
528C23×D5—41no—
529C23×D5C22×C411yescharacteristic
530C23×D5C22×C411yescharacteristic
531C23×D5C22×C411yescharacteristic
532C23×D5C2411yescharacteristic
533C23×D5C2411yescharacteristic
534C23×D5C2411yescharacteristic
535C23×D5C2411yescharacteristic
536C22×AGL(1,𝔽5)—22no—
537C22×AGL(1,𝔽5)—22no—
538C22×AGL(1,𝔽5)—22no—
539C22×AGL(1,𝔽5)—22no—
540C22×AGL(1,𝔽5)—22no—
541C22×AGL(1,𝔽5)—22no—
542C22×AGL(1,𝔽5)—22no—
543C22×AGL(1,𝔽5)—22no—
544C22×AGL(1,𝔽5)—41no—
545C22×AGL(1,𝔽5)—41no—
546C22×AGL(1,𝔽5)—41no—
547C22×AGL(1,𝔽5)—41no—
548C22×AGL(1,𝔽5)—41no—
549C22×AGL(1,𝔽5)—41no—
550C22×AGL(1,𝔽5)—41no—
551C22×AGL(1,𝔽5)—41no—
552C22×AGL(1,𝔽5)—41no—
553C22×AGL(1,𝔽5)—41no—
554C22×AGL(1,𝔽5)—41no—
555C22×AGL(1,𝔽5)—41no—
556C22×AGL(1,𝔽5)—41no—
557C22×AGL(1,𝔽5)—41no—
558C22×AGL(1,𝔽5)—41no—
559C22×AGL(1,𝔽5)#4114yes—
560C22×AGL(1,𝔽5)C2411yescharacteristic
561C22×AGL(1,𝔽5)C2411yescharacteristic
562C22×AGL(1,𝔽5)C2411yescharacteristic
563C22×AGL(1,𝔽5)C2411yescharacteristic
564C22×AGL(1,𝔽5)C2411yescharacteristic
565C22×AGL(1,𝔽5)C2411yescharacteristic
566C22×AGL(1,𝔽5)C2411yescharacteristic
567C22×AGL(1,𝔽5)C2411yescharacteristic
568C22×AGL(1,𝔽5)C2411yescharacteristic
569C22×AGL(1,𝔽5)C2411yescharacteristic
570C22×AGL(1,𝔽5)C2411yescharacteristic
571C22×AGL(1,𝔽5)C2411yescharacteristic
572C22×AGL(1,𝔽5)C2411yescharacteristic
573C22×AGL(1,𝔽5)C2411yescharacteristic
574C22×AGL(1,𝔽5)C2411yescharacteristic
575C22×AGL(1,𝔽5)C2411yescharacteristic
576C2×C5×Q8C22×C411yescharacteristic
577C2×C5×D4C22×C411yescharacteristic
578C2×C5×D4C22×C411yescharacteristic
579C2×C5×D4C22×C411yescharacteristic
580C22×C4×C5C22×C411yescharacteristic
581C22×C4×C5C22×C411yescharacteristic
582C22×C4×C5C22×C411yescharacteristic
583C22×C4×C5C22×C411yescharacteristic
584C22×C4×C5C22×C411yescharacteristic
585C2×C22⋊D5C22×C411yescharacteristic
586C2×C22⋊D5C22×C411yescharacteristic
587C2×C22⋊D5C22×C411yescharacteristic
588C2×C22⋊D5C22×C411yescharacteristic
589C2×C22⋊D5C22×C411yescharacteristic
590C2×C22⋊D5C22×C411yescharacteristic
591C22×Dic5C22×C411yescharacteristic
592C22×Dic5C22×C411yescharacteristic
593C22×Dic5C22×C411yescharacteristic
594C22×Dic5C22×C411yescharacteristic
595C22×Dic5C22×C411yescharacteristic
596Q8×D5—41no—
597Q8×D5—41no—
598D4×D5—22no—
599D4×D5—22no—
600D4×D5—41no—
601D4×D5—41no—
602D4×D5—41no—
603D4×D5—41no—
604C2×D20C22×C411yescharacteristic
605C2×D20C22×C411yescharacteristic
606C2×D20C22×C411yescharacteristic
607C2×C4×D5—22no—
608C2×C4×D5—22no—
609C2×C4×D5—41no—
610C2×C4×D5—41no—
611C2×C4×D5—41no—
612C2×C4×D5—41no—
613C2×C4×D5—41no—
614C2×C4×D5—41no—
615C2×C4×D5—41no—
616C2×C4×D5—41no—
617C2×C4×D5C22×C411yescharacteristic
618C2×C4×D5C22×C411yescharacteristic
619C2×C4×D5C22×C411yescharacteristic
620C2×C4×D5C22×C411yescharacteristic
621C2×C4×D5C22×C411yescharacteristic
622C2×C4×D5C22×C411yescharacteristic
623C2×C4×D5C22×C411yescharacteristic
624C2×C4×D5C22×C411yescharacteristic
625C2×C4×D5C22×C411yescharacteristic
626C2×C4×D5C22×C411yescharacteristic
627C2×C4×D5C2411yescharacteristic
628C2×C4×D5C2411yescharacteristic
629C2×C4×D5C2411yescharacteristic
630C2×C4×D5C2411yescharacteristic
631C2×C4×D5C2411yescharacteristic
632C2×C4×D5C2411yescharacteristic
633C2×C4×D5C2411yescharacteristic
634C2×C4×D5C2411yescharacteristic
635C2×C4×D5C2411yescharacteristic
636C2×C4×D5C2411yescharacteristic
637C2×C4×D5C2411yescharacteristic
638C2×Dic10C22×C411yescharacteristic
639C2×Dic10C22×C411yescharacteristic
640C2×Dic10C22×C411yescharacteristic
641C22⋊AGL(1,𝔽5)—22no—
642C22⋊AGL(1,𝔽5)—22no—
643C22⋊AGL(1,𝔽5)—22no—
644C22⋊AGL(1,𝔽5)—22no—
645C22⋊AGL(1,𝔽5)—22no—
646C22⋊AGL(1,𝔽5)—22no—
647C22⋊AGL(1,𝔽5)—22no—
648C22⋊AGL(1,𝔽5)—22no—
649C22⋊AGL(1,𝔽5)—22no—
650C22⋊AGL(1,𝔽5)—22no—
651C22⋊AGL(1,𝔽5)—22no—
652C22⋊AGL(1,𝔽5)—22no—
653C22⋊AGL(1,𝔽5)—22no—
654C22⋊AGL(1,𝔽5)—22no—
655C22⋊AGL(1,𝔽5)—41no—
656C22⋊AGL(1,𝔽5)—41no—
657C22⋊AGL(1,𝔽5)—41no—
658C22⋊AGL(1,𝔽5)—41no—
659C22⋊AGL(1,𝔽5)—41no—
660C22⋊AGL(1,𝔽5)—41no—
661C22⋊AGL(1,𝔽5)—41no—
662C22⋊AGL(1,𝔽5)—41no—
663C22⋊AGL(1,𝔽5)—41no—
664C22⋊AGL(1,𝔽5)#4114yes—
665C4⋊AGL(1,𝔽5)—22no—
666C4⋊AGL(1,𝔽5)—22no—
667C4⋊AGL(1,𝔽5)—22no—
668C4⋊AGL(1,𝔽5)—22no—
669C4⋊AGL(1,𝔽5)—22no—
670C4⋊AGL(1,𝔽5)—22no—
671C4⋊AGL(1,𝔽5)—22no—
672C4⋊AGL(1,𝔽5)—41no—
673C4⋊AGL(1,𝔽5)—41no—
674C4⋊AGL(1,𝔽5)—41no—
675C4⋊AGL(1,𝔽5)—41no—
676C4⋊AGL(1,𝔽5)—41no—
677C4⋊AGL(1,𝔽5)—41no—
678C4⋊AGL(1,𝔽5)—41no—
679C4⋊AGL(1,𝔽5)—41no—
680C4⋊AGL(1,𝔽5)—41no—
681C4⋊AGL(1,𝔽5)—41no—
682C4⋊AGL(1,𝔽5)—41no—
683C4×AGL(1,𝔽5)—22no—
684C4×AGL(1,𝔽5)—22no—
685C4×AGL(1,𝔽5)—22no—
686C4×AGL(1,𝔽5)—22no—
687C4×AGL(1,𝔽5)—22no—
688C4×AGL(1,𝔽5)—22no—
689C4×AGL(1,𝔽5)—22no—
690C4×AGL(1,𝔽5)—22no—
691C4×AGL(1,𝔽5)—22no—
692C4×AGL(1,𝔽5)—22no—
693C4×AGL(1,𝔽5)—41no—
694C4×AGL(1,𝔽5)—41no—
695C4×AGL(1,𝔽5)—41no—
696C4×AGL(1,𝔽5)—41no—
697C4×AGL(1,𝔽5)—41no—
698C4×AGL(1,𝔽5)—41no—
699C4×AGL(1,𝔽5)—41no—
700C4×AGL(1,𝔽5)—41no—
701C4×AGL(1,𝔽5)—41no—
702C4×AGL(1,𝔽5)—41no—
703C4×AGL(1,𝔽5)—41no—
704C4×AGL(1,𝔽5)—41no—
705C4×AGL(1,𝔽5)—41no—
706C4×AGL(1,𝔽5)—41no—
707C4×AGL(1,𝔽5)—41no—
708C4×AGL(1,𝔽5)—41no—
709C5×C4⋊C4C22×C411yescharacteristic
710C5×C4⋊C4C22×C411yescharacteristic
711C5×C4⋊C4C22×C411yescharacteristic
712C5×C4⋊C4C22×C411yescharacteristic
713C5×C4⋊C4C22×C411yescharacteristic
714C5×C4⋊C4C22×C411yescharacteristic
715C5×C4⋊C4C22×C411yescharacteristic
716C5×C4⋊C4C22×C411yescharacteristic
717C5×C22⋊C4C22×C411yescharacteristic
718C5×C22⋊C4C22×C411yescharacteristic
719C5×C22⋊C4C22×C411yescharacteristic
720C5×C22⋊C4C22×C411yescharacteristic
721C5×C22⋊C4C22×C411yescharacteristic
722C5×C22⋊C4C22×C411yescharacteristic
723C5×C22⋊C4C22×C411yescharacteristic
724C5×C22⋊C4C22×C411yescharacteristic
725C5×C22⋊C4C22×C411yescharacteristic
726C5×C22⋊C4C22×C411yescharacteristic
727C5×C22⋊C4C22×C411yescharacteristic
728C5×C22⋊C4C22×C411yescharacteristic
729C5×C22⋊C4C22×C411yescharacteristic
730C5×C22⋊C4C22×C411yescharacteristic
731C42×C5C22×C411yescharacteristic
732C42×C5C22×C411yescharacteristic
733C42×C5C22×C411yescharacteristic
734C22⋊Dic5C22×C411yescharacteristic
735C22⋊Dic5C22×C411yescharacteristic
736C22⋊Dic5C22×C411yescharacteristic
737C22⋊Dic5C22×C411yescharacteristic
738C22⋊Dic5C22×C411yescharacteristic
739C22⋊Dic5C22×C411yescharacteristic
740C22⋊Dic5C22×C411yescharacteristic
741C22⋊Dic5C22×C411yescharacteristic
742C22⋊Dic5C22×C411yescharacteristic
743C22⋊Dic5C22×C411yescharacteristic
744C22⋊Dic5C22×C411yescharacteristic
745C22⋊Dic5C22×C411yescharacteristic
746C22⋊Dic5C22×C411yescharacteristic
747C22⋊Dic5C22×C411yescharacteristic
748#685C22×C411yescharacteristic
749#685C22×C411yescharacteristic
750#685C22×C411yescharacteristic
751#685C22×C411yescharacteristic
752#685C22×C411yescharacteristic
753#685C22×C411yescharacteristic
754#685C22×C411yescharacteristic
755#685C22×C411yescharacteristic
756#685C22×C411yescharacteristic
757#685C22×C411yescharacteristic
758#685C22×C411yescharacteristic
759#685C22×C411yescharacteristic
760#685C22×C411yescharacteristic
761#685C22×C411yescharacteristic
762#685C22×C411yescharacteristic
763#685C22×C411yescharacteristic
764#685C22×C411yescharacteristic
765#685C22×C411yescharacteristic
766#685C22×C411yescharacteristic
767#685C22×C411yescharacteristic
768#685C22×C411yescharacteristic
769#685C22×C411yescharacteristic
770#685C22×C411yescharacteristic
771#685C22×C411yescharacteristic
772#685C22×C411yescharacteristic
773#685C22×C411yescharacteristic
774#685C22×C411yescharacteristic
775#685C22×C411yescharacteristic
776C4⋊Dic5C22×C411yescharacteristic
777C4⋊Dic5C22×C411yescharacteristic
778C4⋊Dic5C22×C411yescharacteristic
779C4⋊Dic5C22×C411yescharacteristic
780C4⋊Dic5C22×C411yescharacteristic
781C4⋊Dic5C22×C411yescharacteristic
782C4⋊Dic5C22×C411yescharacteristic
783C4⋊Dic5C22×C411yescharacteristic
784#683C22×C411yescharacteristic
785#683C22×C411yescharacteristic
786#683C22×C411yescharacteristic
787#683C22×C411yescharacteristic
788#683C22×C411yescharacteristic
789#683C22×C411yescharacteristic
790#683C22×C411yescharacteristic
791#683C22×C411yescharacteristic
792#683C22×C411yescharacteristic
793#683C22×C411yescharacteristic
794#683C22×C411yescharacteristic
795#683C22×C411yescharacteristic
796#683C22×C411yescharacteristic
797#683C22×C411yescharacteristic
798#683C22×C411yescharacteristic
799#683C22×C411yescharacteristic
800C4×Dic5C22×C411yescharacteristic
801C4×Dic5C22×C411yescharacteristic
802C4×Dic5C22×C411yescharacteristic
803C4×Dic5C22×C411yescharacteristic
804C4×Dic5C22×C411yescharacteristic
805C4×Dic5C22×C411yescharacteristic
806C4×Dic5C22×C411yescharacteristic
807C4×Dic5C22×C411yescharacteristic
808C4×Dic5C22×C411yescharacteristic
809#551—51no—
810#551—51no—
811#551—51no—
812#551—51no—
813#551—51no—
814#551—51no—
815#551—51no—
816#551—51no—
817#551—51no—
818#551—51no—
819#551—51no—
820#551—51no—
821#551—51no—
822#551—51no—
823#551—51no—
824#551AGL(1,𝔽5)11yescharacteristic, complemented
825C2×#126—51no—
826C2×#126—51no—
827C2×#124—51no—
828C2×#123—51no—
829C2×#123—51no—
830C2×#123—51no—
831C2×C22⋊Q8—51no—
832C2×C22⋊Q8—51no—
833C2×#120—51no—
834C2×C4×Q8—51no—
835C2×C4×D4—51no—
836C2×C4×D4—51no—
837C2×C4×D4—51no—
838C2×C4×D4—51no—
839C2×C4×D4—51no—
840C2×#117—51no—
841C2×#117—51no—
842C2×#117—51no—
843C2×#117—51no—
844C2×#117—51no—
845C22×C4⋊C4—51no—
846C22×C22⋊C4—51no—
847C22×C22⋊C4—51no—
848C22×C22⋊C4—51no—
849C22×C22⋊C4—51no—
850C22×C22⋊C4—51no—
851C22×C42—51no—
852#391—51no—
853#391—51no—
854#391—51no—
855#390—51no—
856#390—51no—
857#390—51no—
858#389—51no—
859#389—51no—
860#389—51no—
861#389—51no—
862#389—51no—
863#389—51no—
864#388—51no—
865#388—51no—
866#388—51no—
867#388—51no—
868#388—51no—
869#388—51no—
870#388—51no—
871#388—51no—
872#388—51no—
873#388—51no—
874#388—51no—
875#388—51no—
876#388—51no—
877#388—51no—
878#388—51no—
879#388—51no—
880#388—51no—
881#388—51no—
882#388—51no—
883#388—51no—
884#388—51no—
885#388—51no—
886#388—51no—
887#388—51no—
888#388—51no—
889#388—51no—
890#388—51no—
891#388—51no—
892#387—51no—
893#387—51no—
894#387—51no—
895#387—51no—
896#387—51no—
897#387—51no—
898#387—51no—
899#387—51no—
900#387—51no—
901#387—51no—
902#387—51no—
903#387—51no—
904#387—51no—
905#387—51no—
906#387—51no—
907#387—51no—
908#386—51no—
909#386—51no—
910#386—51no—
911#386—51no—
912#386—51no—
913#386—51no—
914#385—51no—
915#385—51no—
916#385—51no—
917#385—51no—
918#385—51no—
919#385—51no—
920#385—51no—
921#385—51no—
922#383—51no—
923#382—51no—
924#382—51no—
925#381—51no—
926#381—51no—
927#380—51no—
928#380—51no—
929#380—51no—
930#379—51no—
931C4×C4⋊C4—51no—
932C4×C4⋊C4—51no—
933C4×C4⋊C4—51no—
934C4×C4⋊C4—51no—
935C4×C4⋊C4—51no—
936C4×C4⋊C4—51no—
937C4×C4⋊C4—51no—
938C4×C4⋊C4—51no—
939C4×C4⋊C4—51no—
940C4×C4⋊C4—51no—
941C4×C4⋊C4—51no—
942C4×C4⋊C4—51no—
943C4×C4⋊C4—51no—
944C4×C22⋊C4—51no—
945C4×C22⋊C4—51no—
946C4×C22⋊C4—51no—
947C4×C22⋊C4—51no—
948C4×C22⋊C4—51no—
949C4×C22⋊C4—51no—
950C4×C22⋊C4—51no—
951C4×C22⋊C4—51no—
952C4×C22⋊C4—51no—
953C4×C22⋊C4—51no—
954C4×C22⋊C4—51no—
955C4×C22⋊C4—51no—
956C4×C22⋊C4—51no—
957C4×C22⋊C4—51no—
958C4×C22⋊C4—51no—
959C4×C22⋊C4—51no—
960C4×C22⋊C4—51no—
961C4×C22⋊C4—51no—
962C4×C22⋊C4—51no—
963C4×C22⋊C4—51no—
964C4×C22⋊C4—51no—
965C4×C22⋊C4—51no—
966C4×C22⋊C4—51no—
967C4×C22⋊C4—51no—
968C4×C22⋊C4—51no—
969C4×C22⋊C4—51no—
970C4×C22⋊C4—51no—
971#376—51no—
972#376—51no—
973#376—51no—
974#376—51no—
975C2×#95—51no—
976C2×#95—51no—
977C2×#95—51no—
978C43—51no—
979C43—51no—
980C23×C5—22no—
981C23×C5—41no—
982C23×C5—41no—
983C23×C5C23×C411yescharacteristic
984C23×C5C23×C411yescharacteristic
985C23×C5C23×C411yescharacteristic
986C23×C5C23×C411yescharacteristic
987C22×D5—21no—
988C22×D5—21no—
989C22×D5—21no—
990C22×D5—21no—
991C22×D5—22no—
992C22×D5—21no—
993C22×D5—21no—
994C22×D5—21no—
995C22×D5—21no—
996C22×D5—21no—
997C22×D5—21no—
998C22×D5—21no—
999C22×D5—21no—
1000C22×D5—21no—
1001C22×D5—21no—
1002C22×D5—21no—
1003C22×D5—21no—
1004C22×D5—21no—
1005C22×D5—21no—
1006C22×D5—21no—
1007C22×D5—21no—
1008C22×D5—21no—
1009C22×D5—21no—
1010C22×D5—22no—
1011C22×D5—22no—
1012C22×D5—41no—
1013C22×D5—41no—
1014C22×D5—41no—
1015C22×D5—41no—
1016C22×D5—41no—
1017C22×D5—41no—
1018C22×D5—82no—
1019C22×D5—82no—
1020C22×D5—82no—
1021C22×D5—82no—
1022C22×D5C23×C411yescharacteristic
1023C22×D5C23×C411yescharacteristic
1024C22×D5C23×C411yescharacteristic
1025C22×D5C23×C411yescharacteristic
1026C22×D5C2×#4112yes—
1027C22×D5C2×#4112yes—
1028C22×D5C2511yescharacteristic
1029C2×AGL(1,𝔽5)—21no—
1030C2×AGL(1,𝔽5)—21no—
1031C2×AGL(1,𝔽5)—21no—
1032C2×AGL(1,𝔽5)—21no—
1033C2×AGL(1,𝔽5)—21no—
1034C2×AGL(1,𝔽5)—21no—
1035C2×AGL(1,𝔽5)—21no—
1036C2×AGL(1,𝔽5)—21no—
1037C2×AGL(1,𝔽5)—21no—
1038C2×AGL(1,𝔽5)—21no—
1039C2×AGL(1,𝔽5)—21no—
1040C2×AGL(1,𝔽5)—21no—
1041C2×AGL(1,𝔽5)—21no—
1042C2×AGL(1,𝔽5)—21no—
1043C2×AGL(1,𝔽5)—21no—
1044C2×AGL(1,𝔽5)—21no—
1045C2×AGL(1,𝔽5)—21no—
1046C2×AGL(1,𝔽5)—21no—
1047C2×AGL(1,𝔽5)—21no—
1048C2×AGL(1,𝔽5)—21no—
1049C2×AGL(1,𝔽5)—21no—
1050C2×AGL(1,𝔽5)—21no—
1051C2×AGL(1,𝔽5)—21no—
1052C2×AGL(1,𝔽5)—21no—
1053C2×AGL(1,𝔽5)—21no—
1054C2×AGL(1,𝔽5)—21no—
1055C2×AGL(1,𝔽5)—21no—
1056C2×AGL(1,𝔽5)—21no—
1057C2×AGL(1,𝔽5)—21no—
1058C2×AGL(1,𝔽5)—21no—
1059C2×AGL(1,𝔽5)—21no—
1060C2×AGL(1,𝔽5)—21no—
1061C2×AGL(1,𝔽5)—21no—
1062C2×AGL(1,𝔽5)—21no—
1063C2×AGL(1,𝔽5)—21no—
1064C2×AGL(1,𝔽5)—21no—
1065C2×AGL(1,𝔽5)—21no—
1066C2×AGL(1,𝔽5)—21no—
1067C2×AGL(1,𝔽5)—21no—
1068C2×AGL(1,𝔽5)—21no—
1069C2×AGL(1,𝔽5)—21no—
1070C2×AGL(1,𝔽5)—21no—
1071C2×AGL(1,𝔽5)—21no—
1072C2×AGL(1,𝔽5)—44no—
1073C2×AGL(1,𝔽5)—44no—
1074C2×AGL(1,𝔽5)—82no—
1075C2×AGL(1,𝔽5)—82no—
1076C2×AGL(1,𝔽5)—82no—
1077C2×AGL(1,𝔽5)—82no—
1078C2×AGL(1,𝔽5)—82no—
1079C2×AGL(1,𝔽5)—82no—
1080C2×AGL(1,𝔽5)C2×#4112yes—
1081C2×AGL(1,𝔽5)C2×#4112yes—
1082C2×AGL(1,𝔽5)C2×#4112yes—
1083C2×AGL(1,𝔽5)C2×#4112yes—
1084C2×AGL(1,𝔽5)H(5,𝔽2)12yes—
1085C5×Q8—41no—
1086C5×D4—22no—
1087C5×D4—41no—
1088C5×D4—41no—
1089C2×C4×C5—22no—
1090C2×C4×C5—41no—
1091C2×C4×C5—41no—
1092C2×C4×C5—41no—
1093C2×C4×C5—41no—
1094C2×C4×C5C23×C411yescharacteristic
1095C2×C4×C5C23×C411yescharacteristic
1096C2×C4×C5C23×C411yescharacteristic
1097C2×C4×C5C23×C411yescharacteristic
1098C2×C4×C5C23×C411yescharacteristic
1099C2×C4×C5C23×C411yescharacteristic
1100C2×C4×C5C23×C411yescharacteristic
1101C2×C4×C5C23×C411yescharacteristic
1102C2×C4×C5C23×C411yescharacteristic
1103C2×C4×C5C23×C411yescharacteristic
1104C2×C4×C5C23×C411yescharacteristic
1105C22⋊D5—22no—
1106C22⋊D5—22no—
1107C22⋊D5—41no—
1108C22⋊D5—41no—
1109C22⋊D5—41no—
1110C22⋊D5—41no—
1111C2×Dic5—22no—
1112C2×Dic5—41no—
1113C2×Dic5—41no—
1114C2×Dic5—41no—
1115C2×Dic5—41no—
1116C2×Dic5C23×C411yescharacteristic
1117C2×Dic5C23×C411yescharacteristic
1118C2×Dic5C23×C411yescharacteristic
1119C2×Dic5C23×C411yescharacteristic
1120C2×Dic5C23×C411yescharacteristic
1121C2×Dic5C23×C411yescharacteristic
1122C2×Dic5C23×C411yescharacteristic
1123C2×Dic5C23×C411yescharacteristic
1124C2×Dic5C23×C411yescharacteristic
1125C2×Dic5C23×C411yescharacteristic
1126C2×Dic5C23×C411yescharacteristic
1127D20—22no—
1128D20—41no—
1129D20—41no—
1130C4×D5—22no—
1131C4×D5—22no—
1132C4×D5—21no—
1133C4×D5—21no—
1134C4×D5—21no—
1135C4×D5—21no—
1136C4×D5—21no—
1137C4×D5—21no—
1138C4×D5—21no—
1139C4×D5—21no—
1140C4×D5—21no—
1141C4×D5—21no—
1142C4×D5—21no—
1143C4×D5—21no—
1144C4×D5—21no—
1145C4×D5—21no—
1146C4×D5—21no—
1147C4×D5—21no—
1148C4×D5—21no—
1149C4×D5—21no—
1150C4×D5—21no—
1151C4×D5—21no—
1152C4×D5—21no—
1153C4×D5—21no—
1154C4×D5—41no—
1155C4×D5—41no—
1156C4×D5—41no—
1157C4×D5—41no—
1158C4×D5—41no—
1159C4×D5—41no—
1160C4×D5—41no—
1161C4×D5—41no—
1162Dic10—41no—
1163Dic10—41no—
1164Dic10—41no—
1165C25—51no—
1166C22×Q8—51no—
1167C22×D4—51no—
1168C22×D4—51no—
1169C22×D4—51no—
1170C23×C4—51no—
1171C23×C4—51no—
1172C23×C4—51no—
1173C23×C4—51no—
1174C23×C4—51no—
1175C23×C4—51no—
1176C23×C4—51no—
1177C23×C4—51no—
1178C23×C4—51no—
1179C23×C4—51no—
1180C23×C4—51no—
1181C23×C4—51no—
1182C23×C4—51no—
1183#126—51no—
1184#126—51no—
1185#126—51no—
1186#126—51no—
1187#126—51no—
1188#126—51no—
1189#126—51no—
1190#126—51no—
1191#126—51no—
1192#126—51no—
1193#126—51no—
1194#126—51no—
1195#126—51no—
1196#126—51no—
1197#126C2×AGL(1,𝔽5)11yescharacteristic, complemented
1198#126C2×AGL(1,𝔽5)11yescharacteristic, complemented
1199#124—51no—
1200#124—51no—
1201#124—51no—
1202#124—51no—
1203#124—51no—
1204#124—51no—
1205#124—51no—
1206#124C2×AGL(1,𝔽5)11yescharacteristic, complemented
1207#123—51no—
1208#123—51no—
1209#123—51no—
1210#123—51no—
1211#123—51no—
1212#123—51no—
1213#123—51no—
1214#123—51no—
1215#123—51no—
1216#123—51no—
1217#123—51no—
1218#123—51no—
1219#123—51no—
1220#123—51no—
1221#123—51no—
1222#123—51no—
1223#123—51no—
1224#123—51no—
1225#123—51no—
1226#123—51no—
1227#123—51no—
1228#123C2×AGL(1,𝔽5)11yescharacteristic, complemented
1229#123C2×AGL(1,𝔽5)11yescharacteristic, complemented
1230#123C2×AGL(1,𝔽5)11yescharacteristic, complemented
1231C22⋊Q8—51no—
1232C22⋊Q8—51no—
1233C22⋊Q8—51no—
1234C22⋊Q8—51no—
1235C22⋊Q8—51no—
1236C22⋊Q8—51no—
1237C22⋊Q8—51no—
1238C22⋊Q8—51no—
1239C22⋊Q8—51no—
1240C22⋊Q8—51no—
1241C22⋊Q8—51no—
1242C22⋊Q8—51no—
1243C22⋊Q8—51no—
1244C22⋊Q8—51no—
1245C22⋊Q8C2×AGL(1,𝔽5)11yescharacteristic, complemented
1246C22⋊Q8C2×AGL(1,𝔽5)11yescharacteristic, complemented
1247#120—51no—
1248#120—51no—
1249#120—51no—
1250#120—51no—
1251#120—51no—
1252#120—51no—
1253#120—51no—
1254#120C2×AGL(1,𝔽5)11yescharacteristic
1255C4×Q8—202no—
1256C4×D4—51no—
1257C4×D4—51no—
1258C4×D4—51no—
1259C4×D4—51no—
1260C4×D4—51no—
1261C4×D4—51no—
1262C4×D4—51no—
1263C4×D4—51no—
1264C4×D4—51no—
1265C4×D4—51no—
1266C4×D4—51no—
1267C4×D4—51no—
1268C4×D4—51no—
1269C4×D4—51no—
1270C4×D4—104no—
1271C4×D4—104no—
1272C4×D4—202no—
1273C4×D4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1274C4×D4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1275#117—51no—
1276#117—51no—
1277#117—51no—
1278#117—51no—
1279#117—51no—
1280#117—51no—
1281#117—51no—
1282#117—51no—
1283#117—51no—
1284#117—51no—
1285#117—51no—
1286#117—51no—
1287#117—51no—
1288#117—51no—
1289#117—104no—
1290#117—202no—
1291#117—202no—
1292#117C2×AGL(1,𝔽5)11yescharacteristic, complemented
1293#117C2×AGL(1,𝔽5)11yescharacteristic, complemented
1294C2×C4⋊C4—51no—
1295C2×C4⋊C4—51no—
1296C2×C4⋊C4—51no—
1297C2×C4⋊C4—51no—
1298C2×C4⋊C4—51no—
1299C2×C4⋊C4—51no—
1300C2×C4⋊C4—51no—
1301C2×C4⋊C4—51no—
1302C2×C4⋊C4—51no—
1303C2×C4⋊C4—51no—
1304C2×C4⋊C4—51no—
1305C2×C4⋊C4—51no—
1306C2×C4⋊C4—51no—
1307C2×C4⋊C4—51no—
1308C2×C4⋊C4—51no—
1309C2×C4⋊C4—51no—
1310C2×C4⋊C4—51no—
1311C2×C4⋊C4—51no—
1312C2×C4⋊C4—51no—
1313C2×C4⋊C4—51no—
1314C2×C4⋊C4—51no—
1315C2×C4⋊C4—51no—
1316C2×C4⋊C4—51no—
1317C2×C4⋊C4—51no—
1318C2×C4⋊C4—51no—
1319C2×C4⋊C4—51no—
1320C2×C4⋊C4—202no—
1321C2×C22⋊C4—51no—
1322C2×C22⋊C4—51no—
1323C2×C22⋊C4—51no—
1324C2×C22⋊C4—51no—
1325C2×C22⋊C4—51no—
1326C2×C22⋊C4—51no—
1327C2×C22⋊C4—51no—
1328C2×C22⋊C4—51no—
1329C2×C22⋊C4—51no—
1330C2×C22⋊C4—51no—
1331C2×C22⋊C4—51no—
1332C2×C22⋊C4—51no—
1333C2×C22⋊C4—51no—
1334C2×C22⋊C4—51no—
1335C2×C22⋊C4—51no—
1336C2×C22⋊C4—51no—
1337C2×C22⋊C4—51no—
1338C2×C22⋊C4—51no—
1339C2×C22⋊C4—51no—
1340C2×C22⋊C4—51no—
1341C2×C22⋊C4—51no—
1342C2×C22⋊C4—51no—
1343C2×C22⋊C4—51no—
1344C2×C22⋊C4—51no—
1345C2×C22⋊C4—51no—
1346C2×C22⋊C4—51no—
1347C2×C22⋊C4—51no—
1348C2×C22⋊C4—51no—
1349C2×C22⋊C4—51no—
1350C2×C22⋊C4—51no—
1351C2×C22⋊C4—51no—
1352C2×C22⋊C4—51no—
1353C2×C22⋊C4—51no—
1354C2×C22⋊C4—51no—
1355C2×C22⋊C4—51no—
1356C2×C22⋊C4—51no—
1357C2×C22⋊C4—51no—
1358C2×C22⋊C4—51no—
1359C2×C22⋊C4—51no—
1360C2×C22⋊C4—51no—
1361C2×C22⋊C4—51no—
1362C2×C22⋊C4—51no—
1363C2×C22⋊C4—51no—
1364C2×C22⋊C4—51no—
1365C2×C22⋊C4—51no—
1366C2×C22⋊C4—51no—
1367C2×C22⋊C4—51no—
1368C2×C22⋊C4—51no—
1369C2×C22⋊C4—51no—
1370C2×C22⋊C4—51no—
1371C2×C22⋊C4—51no—
1372C2×C22⋊C4—51no—
1373C2×C22⋊C4—104no—
1374C2×C22⋊C4—104no—
1375C2×C22⋊C4—202no—
1376C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1377C2×C22⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1378C2×C42—51no—
1379C2×C42—51no—
1380C2×C42—51no—
1381C2×C42—51no—
1382C2×C42—51no—
1383C2×C42—51no—
1384C2×C42—51no—
1385C2×C42—51no—
1386C2×C42—51no—
1387C2×C42—51no—
1388C2×C42—51no—
1389C2×C42—51no—
1390C2×C42—51no—
1391C2×C42—51no—
1392C2×C42—51no—
1393C2×C42—51no—
1394C2×C42—51no—
1395C2×C42—51no—
1396C2×C42—51no—
1397C2×C42—51no—
1398C2×C42—51no—
1399C2×C42—51no—
1400C2×C42—51no—
1401C2×C42—51no—
1402C2×C42—51no—
1403C2×C42—51no—
1404C2×C42—51no—
1405C2×C42—51no—
1406C2×C42—51no—
1407C2×C42—104no—
1408#95—51no—
1409#95—51no—
1410#95—51no—
1411#95—51no—
1412#95—51no—
1413#95—51no—
1414#95—51no—
1415#95—51no—
1416#95—51no—
1417#95—51no—
1418#95—51no—
1419#95—51no—
1420#95—51no—
1421#95—51no—
1422#95—51no—
1423#95—51no—
1424#95—51no—
1425#95—51no—
1426#95—51no—
1427#95—51no—
1428#95—51no—
1429#95—51no—
1430#95—51no—
1431#95—51no—
1432#95—51no—
1433#95—51no—
1434#95—51no—
1435#95—51no—
1436#95—51no—
1437#95—51no—
1438#95—51no—
1439#95—51no—
1440#95—51no—
1441#95—51no—
1442#95—51no—
1443#95—51no—
1444#95—51no—
1445#95—51no—
1446#95—51no—
1447#95—51no—
1448#95—51no—
1449#95—51no—
1450#95—51no—
1451#95—51no—
1452C22×C5—21no—
1453C22×C5—21no—
1454C22×C5—21no—
1455C22×C5—21no—
1456C22×C5—21no—
1457C22×C5—21no—
1458C22×C5—21no—
1459C22×C5—21no—
1460C22×C5—21no—
1461C22×C5—21no—
1462C22×C5—21no—
1463C22×C5—82no—
1464C22×C5C4×#4112yes—
1465C22×C5C24×C411yescharacteristic
1466C2×D5—21no—
1467C2×D5—21no—
1468C2×D5—22no—
1469C2×D5—22no—
1470C2×D5—22no—
1471C2×D5—22no—
1472C2×D5—21no—
1473C2×D5—21no—
1474C2×D5—21no—
1475C2×D5—21no—
1476C2×D5—21no—
1477C2×D5—21no—
1478C2×D5—21no—
1479C2×D5—21no—
1480C2×D5—21no—
1481C2×D5—41no—
1482C2×D5—41no—
1483C2×D5—41no—
1484C2×D5—41no—
1485C2×D5—41no—
1486C2×D5—41no—
1487C2×D5—41no—
1488C2×D5—41no—
1489C2×D5—41no—
1490C2×D5—41no—
1491C2×D5—41no—
1492C2×D5—41no—
1493C2×D5—82no—
1494C2×D5—82no—
1495C2×D5—82no—
1496C2×D5C4×#4112yes—
1497C2×D5C22×#4111yescharacteristic
1498C2×D5C22×#4111yescharacteristic
1499C2×D5C2×H(5,𝔽2)11yescharacteristic
1500C2×D5#58511yescharacteristic
1501C2×D5#58511yescharacteristic
1502C2×D5#58511yescharacteristic
1503AGL(1,𝔽5)—22no—
1504AGL(1,𝔽5)—22no—
1505AGL(1,𝔽5)—22no—
1506AGL(1,𝔽5)—22no—
1507AGL(1,𝔽5)—22no—
1508AGL(1,𝔽5)—41no—
1509AGL(1,𝔽5)—41no—
1510AGL(1,𝔽5)—41no—
1511AGL(1,𝔽5)—41no—
1512AGL(1,𝔽5)—41no—
1513AGL(1,𝔽5)—41no—
1514AGL(1,𝔽5)—41no—
1515AGL(1,𝔽5)—41no—
1516AGL(1,𝔽5)—41no—
1517AGL(1,𝔽5)—41no—
1518AGL(1,𝔽5)—41no—
1519C4×C5—21no—
1520C4×C5—21no—
1521C4×C5—21no—
1522C4×C5—21no—
1523C4×C5—21no—
1524C4×C5—21no—
1525C4×C5—21no—
1526C4×C5—21no—
1527C4×C5—21no—
1528C4×C5—21no—
1529C4×C5—21no—
1530Dic5—21no—
1531Dic5—21no—
1532Dic5—21no—
1533Dic5—21no—
1534Dic5—21no—
1535Dic5—21no—
1536Dic5—21no—
1537Dic5—21no—
1538Dic5—21no—
1539Dic5—21no—
1540Dic5—21no—
1541C24—51no—
1542C24—51no—
1543C24—51no—
1544C24—51no—
1545C24—51no—
1546C24—51no—
1547C24—51no—
1548C24—102no—
1549C24—102no—
1550C24—201no—
1551C24—201no—
1552C24—201no—
1553C24—201no—
1554C24C22×AGL(1,𝔽5)11yescharacteristic
1555C2×Q8—51no—
1556C2×Q8—51no—
1557C2×Q8—51no—
1558C2×Q8—201no—
1559C2×Q8—201no—
1560C2×Q8C22×AGL(1,𝔽5)11yescharacteristic
1561C2×D4—51no—
1562C2×D4—51no—
1563C2×D4—51no—
1564C2×D4—51no—
1565C2×D4—51no—
1566C2×D4—51no—
1567C2×D4—51no—
1568C2×D4—51no—
1569C2×D4—51no—
1570C2×D4—102no—
1571C2×D4—102no—
1572C2×D4—201no—
1573C2×D4—201no—
1574C2×D4—201no—
1575C2×D4—201no—
1576C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1577C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1578C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1579C22×C4—51no—
1580C22×C4—51no—
1581C22×C4—51no—
1582C22×C4—51no—
1583C22×C4—51no—
1584C22×C4—51no—
1585C22×C4—54no—
1586C22×C4—51no—
1587C22×C4—51no—
1588C22×C4—51no—
1589C22×C4—51no—
1590C22×C4—51no—
1591C22×C4—51no—
1592C22×C4—51no—
1593C22×C4—51no—
1594C22×C4—51no—
1595C22×C4—51no—
1596C22×C4—51no—
1597C22×C4—51no—
1598C22×C4—51no—
1599C22×C4—51no—
1600C22×C4—51no—
1601C22×C4—51no—
1602C22×C4—51no—
1603C22×C4—51no—
1604C22×C4—51no—
1605C22×C4—51no—
1606C22×C4—51no—
1607C22×C4—51no—
1608C22×C4—51no—
1609C22×C4—51no—
1610C22×C4—51no—
1611C22×C4—51no—
1612C22×C4—51no—
1613C22×C4—51no—
1614C22×C4—51no—
1615C22×C4—51no—
1616C22×C4—51no—
1617C22×C4—51no—
1618C22×C4—51no—
1619C22×C4—51no—
1620C22×C4—51no—
1621C22×C4—51no—
1622C22×C4—102no—
1623C22×C4—102no—
1624C22×C4—102no—
1625C22×C4—102no—
1626C22×C4—102no—
1627C22×C4—102no—
1628C22×C4—102no—
1629C22×C4—102no—
1630C22×C4—102no—
1631C22×C4—102no—
1632C22×C4—201no—
1633C22×C4—201no—
1634C22×C4—201no—
1635C22×C4—201no—
1636C22×C4—201no—
1637C22×C4—201no—
1638C22×C4—201no—
1639C22×C4—201no—
1640C22×C4—201no—
1641C22×C4—201no—
1642C22×C4—201no—
1643C22×C4—201no—
1644C22×C4—201no—
1645C22×C4—201no—
1646C22×C4—201no—
1647C22×C4—201no—
1648C22×C4—201no—
1649C22×C4—201no—
1650C22×C4—201no—
1651C22×C4—201no—
1652C22×C4—201no—
1653C22×C4—201no—
1654C22×C4—201no—
1655C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1656C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1657C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1658C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1659C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1660C4⋊C4—51no—
1661C4⋊C4—51no—
1662C4⋊C4—51no—
1663C4⋊C4—51no—
1664C4⋊C4—51no—
1665C4⋊C4—51no—
1666C4⋊C4—51no—
1667C4⋊C4—51no—
1668C4⋊C4—51no—
1669C4⋊C4—51no—
1670C4⋊C4—51no—
1671C4⋊C4—51no—
1672C4⋊C4—51no—
1673C4⋊C4—51no—
1674C4⋊C4—51no—
1675C4⋊C4—51no—
1676C4⋊C4—51no—
1677C4⋊C4—51no—
1678C4⋊C4—51no—
1679C4⋊C4—51no—
1680C4⋊C4—51no—
1681C4⋊C4—51no—
1682C4⋊C4—51no—
1683C4⋊C4—51no—
1684C4⋊C4—102no—
1685C4⋊C4—102no—
1686C4⋊C4—102no—
1687C4⋊C4—102no—
1688C4⋊C4—102no—
1689C4⋊C4—102no—
1690C4⋊C4—102no—
1691C4⋊C4—201no—
1692C4⋊C4—201no—
1693C4⋊C4—201no—
1694C4⋊C4—201no—
1695C4⋊C4—201no—
1696C4⋊C4—201no—
1697C4⋊C4—201no—
1698C4⋊C4—201no—
1699C4⋊C4—201no—
1700C4⋊C4—201no—
1701C4⋊C4—201no—
1702C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1703C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1704C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1705C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1706C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1707C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1708C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1709C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1710C22⋊C4—54no—
1711C22⋊C4—51no—
1712C22⋊C4—51no—
1713C22⋊C4—51no—
1714C22⋊C4—51no—
1715C22⋊C4—51no—
1716C22⋊C4—51no—
1717C22⋊C4—51no—
1718C22⋊C4—51no—
1719C22⋊C4—51no—
1720C22⋊C4—51no—
1721C22⋊C4—51no—
1722C22⋊C4—51no—
1723C22⋊C4—51no—
1724C22⋊C4—51no—
1725C22⋊C4—51no—
1726C22⋊C4—51no—
1727C22⋊C4—51no—
1728C22⋊C4—51no—
1729C22⋊C4—51no—
1730C22⋊C4—51no—
1731C22⋊C4—51no—
1732C22⋊C4—51no—
1733C22⋊C4—51no—
1734C22⋊C4—51no—
1735C22⋊C4—51no—
1736C22⋊C4—51no—
1737C22⋊C4—51no—
1738C22⋊C4—51no—
1739C22⋊C4—51no—
1740C22⋊C4—51no—
1741C22⋊C4—51no—
1742C22⋊C4—51no—
1743C22⋊C4—51no—
1744C22⋊C4—51no—
1745C22⋊C4—51no—
1746C22⋊C4—51no—
1747C22⋊C4—51no—
1748C22⋊C4—51no—
1749C22⋊C4—51no—
1750C22⋊C4—51no—
1751C22⋊C4—51no—
1752C22⋊C4—51no—
1753C22⋊C4—102no—
1754C22⋊C4—102no—
1755C22⋊C4—102no—
1756C22⋊C4—102no—
1757C22⋊C4—102no—
1758C22⋊C4—102no—
1759C22⋊C4—102no—
1760C22⋊C4—102no—
1761C22⋊C4—102no—
1762C22⋊C4—102no—
1763C22⋊C4—102no—
1764C22⋊C4—102no—
1765C22⋊C4—102no—
1766C22⋊C4—102no—
1767C22⋊C4—201no—
1768C22⋊C4—201no—
1769C22⋊C4—201no—
1770C22⋊C4—201no—
1771C22⋊C4—201no—
1772C22⋊C4—201no—
1773C22⋊C4—201no—
1774C22⋊C4—201no—
1775C22⋊C4—201no—
1776C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1777C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1778C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1779C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1780C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1781C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1782C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1783C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1784C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1785C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1786C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1787C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1788C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1789C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1790C42—51no—
1791C42—51no—
1792C42—51no—
1793C42—51no—
1794C42—51no—
1795C42—51no—
1796C42—51no—
1797C42—51no—
1798C42—51no—
1799C42—102no—
1800C42—102no—
1801C42—102no—
1802C42—102no—
1803C42—102no—
1804C42—102no—
1805C42—102no—
1806C42—102no—
1807C42—102no—
1808C42—102no—
1809C42—201no—
1810C42—201no—
1811C42—201no—
1812C42—201no—
1813C42—201no—
1814C42—201no—
1815C42—201no—
1816C42—201no—
1817C42—201no—
1818C42—201no—
1819C42—201no—
1820C42—201no—
1821C42—201no—
1822C42—201no—
1823C42—201no—
1824C42—201no—
1825C42C22×AGL(1,𝔽5)11yescharacteristic
1826C42C22×AGL(1,𝔽5)11yescharacteristic
1827C42C22×AGL(1,𝔽5)11yescharacteristic
1828C2×C5—22no—
1829C2×C5—41no—
1830C2×C5—41no—
1831C2×C5—41no—
1832C2×C5C2×C4×#4111yescharacteristic
1833C2×C5#342811yescharacteristic
1834C2×C5C4×H(5,𝔽2)11yescharacteristic
1835D5—22no—
1836D5—41no—
1837D5—41no—
1838D5—41no—
1839D5#349111yescharacteristic
1840D5#349411yescharacteristic
1841D5#351411yescharacteristic
1842D5#352111yescharacteristic
1843C23—22no—
1844C23—41no—
1845C23—41no—
1846C23—51no—
1847C23—52no—
1848C23—52no—
1849C23—51no—
1850C23—51no—
1851C23—51no—
1852C23—51no—
1853C23—101no—
1854C23—101no—
1855C23—101no—
1856C23—101no—
1857C23—101no—
1858C23—101no—
1859C23—101no—
1860C23—101no—
1861C23—101no—
1862C23—101no—
1863C23—101no—
1864C23—101no—
1865C23—101no—
1866C23—101no—
1867C23—101no—
1868C23—101no—
1869C23—101no—
1870C23—101no—
1871C23—101no—
1872C23—101no—
1873C23—101no—
1874C23—101no—
1875C23—102no—
1876C23—102no—
1877C23—102no—
1878C23—201no—
1879C23—201no—
1880C23—201no—
1881C23—201no—
1882C23—201no—
1883C23—201no—
1884C23—402no—
1885C23—402no—
1886C23—402no—
1887C23—402no—
1888C23C23×AGL(1,𝔽5)11yescharacteristic
1889C23C23×AGL(1,𝔽5)11yescharacteristic
1890C23C23×AGL(1,𝔽5)11yescharacteristic
1891C23C23×AGL(1,𝔽5)11yescharacteristic
1892Q8—41no—
1893Q8—201no—
1894Q8—201no—
1895Q8—201no—
1896D4—22no—
1897D4—41no—
1898D4—41no—
1899D4—102no—
1900D4—102no—
1901D4—102no—
1902D4—201no—
1903D4—201no—
1904D4—201no—
1905D4—201no—
1906D4—201no—
1907D4—201no—
1908C2×C4—22no—
1909C2×C4—41no—
1910C2×C4—41no—
1911C2×C4—41no—
1912C2×C4—41no—
1913C2×C4—52no—
1914C2×C4—52no—
1915C2×C4—52no—
1916C2×C4—52no—
1917C2×C4—52no—
1918C2×C4—51no—
1919C2×C4—51no—
1920C2×C4—51no—
1921C2×C4—51no—
1922C2×C4—51no—
1923C2×C4—51no—
1924C2×C4—51no—
1925C2×C4—51no—
1926C2×C4—51no—
1927C2×C4—51no—
1928C2×C4—51no—
1929C2×C4—101no—
1930C2×C4—101no—
1931C2×C4—101no—
1932C2×C4—101no—
1933C2×C4—101no—
1934C2×C4—101no—
1935C2×C4—101no—
1936C2×C4—101no—
1937C2×C4—101no—
1938C2×C4—101no—
1939C2×C4—101no—
1940C2×C4—101no—
1941C2×C4—101no—
1942C2×C4—101no—
1943C2×C4—101no—
1944C2×C4—101no—
1945C2×C4—101no—
1946C2×C4—101no—
1947C2×C4—101no—
1948C2×C4—101no—
1949C2×C4—101no—
1950C2×C4—101no—
1951C2×C4—102no—
1952C2×C4—102no—
1953C2×C4—101no—
1954C2×C4—101no—
1955C2×C4—101no—
1956C2×C4—101no—
1957C2×C4—101no—
1958C2×C4—101no—
1959C2×C4—101no—
1960C2×C4—101no—
1961C2×C4—101no—
1962C2×C4—101no—
1963C2×C4—102no—
1964C2×C4—101no—
1965C2×C4—101no—
1966C2×C4—101no—
1967C2×C4—101no—
1968C2×C4—101no—
1969C2×C4—101no—
1970C2×C4—101no—
1971C2×C4—101no—
1972C2×C4—101no—
1973C2×C4—101no—
1974C2×C4—101no—
1975C2×C4—101no—
1976C2×C4—101no—
1977C2×C4—101no—
1978C2×C4—101no—
1979C2×C4—101no—
1980C2×C4—101no—
1981C2×C4—101no—
1982C2×C4—101no—
1983C2×C4—101no—
1984C2×C4—101no—
1985C2×C4—101no—
1986C2×C4—101no—
1987C2×C4—101no—
1988C2×C4—101no—
1989C2×C4—101no—
1990C2×C4—101no—
1991C2×C4—101no—
1992C2×C4—101no—
1993C2×C4—101no—
1994C2×C4—101no—
1995C2×C4—101no—
1996C2×C4—101no—
1997C2×C4—201no—
1998C2×C4—201no—
1999C2×C4—201no—
2000C2×C4—201no—
2001C2×C4—201no—
2002C2×C4—201no—
2003C2×C4—201no—
2004C2×C4—201no—
2005C2×C4—201no—
2006C2×C4—201no—
2007C2×C4—201no—
2008C2×C4—201no—
2009C2×C4—204no—
2010C2×C4—204no—
2011C2×C4—402no—
2012C2×C4—402no—
2013C2×C4—402no—
2014C2×C4—402no—
2015C2×C4—402no—
2016C2×C4—402no—
2017C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2018C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2019C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2020C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2021C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2022C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2023C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2024C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2025C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2026C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2027C2×C4C23×AGL(1,𝔽5)11yescharacteristic
2028C5#3430311yescharacteristic, complemented, Sylow
2029C22—21no—
2030C22—21no—
2031C22—21no—
2032C22—21no—
2033C22—21no—
2034C22—21no—
2035C22—21no—
2036C22—21no—
2037C22—21no—
2038C22—21no—
2039C22—21no—
2040C22—51no—
2041C22—51no—
2042C22—51no—
2043C22—51no—
2044C22—51no—
2045C22—51no—
2046C22—52no—
2047C22—82no—
2048C22—102no—
2049C22—102no—
2050C22—102no—
2051C22—102no—
2052C22—101no—
2053C22—101no—
2054C22—101no—
2055C22—101no—
2056C22—101no—
2057C22—101no—
2058C22—101no—
2059C22—101no—
2060C22—101no—
2061C22—101no—
2062C22—101no—
2063C22—201no—
2064C22—201no—
2065C22—201no—
2066C22—201no—
2067C22—201no—
2068C22—201no—
2069C22—201no—
2070C22—201no—
2071C22—201no—
2072C22—201no—
2073C22—201no—
2074C22—201no—
2075C22—402no—
2076C22—402no—
2077C22—402no—
2078C22#41×AGL(1,𝔽5)12yes—
2079C22C24×AGL(1,𝔽5)11yescharacteristic
2080C4—21no—
2081C4—21no—
2082C4—21no—
2083C4—21no—
2084C4—21no—
2085C4—21no—
2086C4—21no—
2087C4—21no—
2088C4—21no—
2089C4—21no—
2090C4—21no—
2091C4—102no—
2092C4—102no—
2093C4—102no—
2094C4—102no—
2095C4—102no—
2096C4—101no—
2097C4—101no—
2098C4—101no—
2099C4—101no—
2100C4—101no—
2101C4—101no—
2102C4—101no—
2103C4—101no—
2104C4—101no—
2105C4—101no—
2106C4—101no—
2107C4—201no—
2108C4—201no—
2109C4—201no—
2110C4—201no—
2111C4—201no—
2112C4—201no—
2113C4—201no—
2114C4—201no—
2115C4—201no—
2116C4—201no—
2117C4—201no—
2118C2—22no—
2119C2—41no—
2120C2—41no—
2121C2—41no—
2122C2—51no—
2123C2—51no—
2124C2—51no—
2125C2—51no—
2126C2—102no—
2127C2—201no—
2128C2—201no—
2129C2—201no—
2130C2C2×#41×AGL(1,𝔽5)11yescharacteristic
2131C2#1061941211yescharacteristic
2132C2AGL(1,𝔽5)×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C24×AGL(1,𝔽5)
commutator, socleC22×C5C24×C4
FittingC5×#551C4
prime radicalD5×#120C22
cosocleC22×D5C25
hypercenter#551AGL(1,𝔽5)
hypocenterC5#34303
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #551

Complements

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

NH ≅ G/Ntype
2. #10617359C2semidirect
3. #10617359C2semidirect
4. #10617358C2semidirect
5. AGL(1,𝔽5)×#126C2semidirect
6. #10617327C2semidirect
7. AGL(1,𝔽5)×#124C2semidirect
8. #10617307C2semidirect
9. #10617306C2semidirect
10. #10617306C2semidirect
11. #10617305C2semidirect
12. #10617305C2semidirect
13. AGL(1,𝔽5)×#123C2semidirect
14. #10617286C2semidirect
15. #10617285C2semidirect
16. #10617284C2semidirect
17. #10617283C2semidirect
20. #10617180C2semidirect
21. #10617179C2semidirect
22. #10617174C2semidirect
23. #10617172C2semidirect
24. #10617133C2semidirect
25. #10617132C2semidirect
26. #10617129C2semidirect
27. AGL(1,𝔽5)×#117C2semidirect
28. #10617072C2semidirect
29. #10617072C2semidirect
30. C2×#65700C2semidirect
31. #10617067C2semidirect
35. C2×Q8×AGL(1,𝔽5)C22semidirect
41. C2×#4130C22semidirect
44. C5×#551C4semidirect
45. #66039C4semidirect
46. #66039C4semidirect
49. #66013C4semidirect
51. #65993C4semidirect
52. #65992C4semidirect
53. #65992C4semidirect
57. #65971C4semidirect
58. #65971C4semidirect
62. #65921C4semidirect
63. #65890C4semidirect
64. #65890C4semidirect
67. #65861C4semidirect
68. #65861C4semidirect
71. #65829C4semidirect
72. #65829C4semidirect
76. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
77. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
78. (C2×AGL(1,𝔽5))⋊Q8C22semidirect
90. #65765C22semidirect
99. C4×C22⋊AGL(1,𝔽5)C22semidirect
102. C2×(C2×AGL(1,𝔽5))⋊C4C22semidirect
103. #65712C22semidirect
104. #65712C22semidirect
105. #65712C22semidirect
106. #65712C22semidirect
107. #65712C22semidirect
108. #65712C22semidirect
109. #65711C22semidirect
110. #65711C22semidirect
111. #65711C22semidirect
112. #65711C22semidirect
113. #65711C22semidirect
114. #65711C22semidirect
115. #65711C22semidirect
116. #65711C22semidirect
117. #65711C22semidirect
118. #65711C22semidirect
119. #65711C22semidirect
120. #65711C22semidirect
121. #65711C22semidirect
122. #65711C22semidirect
123. #65711C22semidirect
124. #65711C22semidirect
125. C4⋊C4×AGL(1,𝔽5)C22semidirect
126. C4⋊C4×AGL(1,𝔽5)C22semidirect
127. C4⋊C4×AGL(1,𝔽5)C22semidirect
128. C4⋊C4×AGL(1,𝔽5)C22semidirect
129. C4⋊C4×AGL(1,𝔽5)C22semidirect
130. C4⋊C4×AGL(1,𝔽5)C22semidirect
131. C4⋊C4×AGL(1,𝔽5)C22semidirect
132. C4⋊C4×AGL(1,𝔽5)C22semidirect
133. C4⋊C4×AGL(1,𝔽5)C22semidirect
134. C4⋊C4×AGL(1,𝔽5)C22semidirect
157. #65700C22semidirect
158. #65700C22semidirect
159. #65700C22semidirect
160. #65700C22semidirect
161. #65700C22semidirect
162. #65700C22semidirect
170. #65699C22semidirect
186. C22⋊C4×AGL(1,𝔽5)C22semidirect
187. C22⋊C4×AGL(1,𝔽5)C22semidirect
188. C22⋊C4×AGL(1,𝔽5)C22semidirect
189. C22⋊C4×AGL(1,𝔽5)C22semidirect
190. C22⋊C4×AGL(1,𝔽5)C22semidirect
191. #65690C22semidirect
192. #65689C22semidirect
193. #65689C22semidirect
194. C4×C4⋊AGL(1,𝔽5)C22semidirect
195. C4×C4⋊AGL(1,𝔽5)C22semidirect
196. C4×C4⋊AGL(1,𝔽5)C22semidirect
197. #65686C22semidirect
198. #65686C22semidirect
199. #65686C22semidirect
200. #65686C22semidirect
201. C42×AGL(1,𝔽5)C22semidirect
202. C42×AGL(1,𝔽5)C22semidirect
302. C5×#126C2×C4semidirect
303. C5×#126C2×C4semidirect
304. C5×#124C2×C4semidirect
305. C5×#123C2×C4semidirect
306. C5×#123C2×C4semidirect
307. C5×#123C2×C4semidirect
308. C5×C22⋊Q8C2×C4semidirect
309. C5×C22⋊Q8C2×C4semidirect
311. C4×C5×D4C2×C4semidirect
312. C4×C5×D4C2×C4semidirect
313. C5×#117C2×C4semidirect
314. C5×#117C2×C4semidirect
315. C2×C5×C22⋊C4C2×C4semidirect
316. C2×C5×C22⋊C4C2×C4semidirect
318. C2×C22⋊Dic5C2×C4semidirect
319. C2×C22⋊Dic5C2×C4semidirect
320. #4093C2×C4semidirect
321. #4092C2×C4semidirect
322. #4092C2×C4semidirect
326. #4082C2×C4semidirect
327. #4081C2×C4semidirect
328. #4081C2×C4semidirect
329. #4081C2×C4semidirect
330. D4×Dic5C2×C4semidirect
331. D4×Dic5C2×C4semidirect
332. #4075C2×C4semidirect
333. #4075C2×C4semidirect
334. #4075C2×C4semidirect
335. C4×C22⋊D5C2×C4semidirect
336. C4×C22⋊D5C2×C4semidirect
337. C4×C22⋊D5C2×C4semidirect
338. C4×C22⋊D5C2×C4semidirect
339. C2×#685C2×C4semidirect
340. C2×#685C2×C4semidirect
341. C2×#685C2×C4semidirect
342. C2×#685C2×C4semidirect
343. #4072C2×C4semidirect
344. #4072C2×C4semidirect
345. #4070C2×C4semidirect
346. #4070C2×C4semidirect
347. #4044C2×C4semidirect
348. #4044C2×C4semidirect
349. #4044C2×C4semidirect
350. #4044C2×C4semidirect
351. #4044C2×C4semidirect
352. #4044C2×C4semidirect
353. #4043C2×C4semidirect
354. #4043C2×C4semidirect
355. #4042C2×C4semidirect
356. #4042C2×C4semidirect
357. #4042C2×C4semidirect
358. #4042C2×C4semidirect
359. #4040C2×C4semidirect
360. #4040C2×C4semidirect
361. #4040C2×C4semidirect
362. #4040C2×C4semidirect
363. #4040C2×C4semidirect
364. #4040C2×C4semidirect
365. #4039C2×C4semidirect
366. #4039C2×C4semidirect
367. #4038C2×C4semidirect
368. #4038C2×C4semidirect
369. #4038C2×C4semidirect
370. #4038C2×C4semidirect
379. #4032C2×C4semidirect
380. #4032C2×C4semidirect
381. #4032C2×C4semidirect
382. #4031C2×C4semidirect
383. #4031C2×C4semidirect
384. #4031C2×C4semidirect
385. #4031C2×C4semidirect
386. #4029C2×C4semidirect
387. #4029C2×C4semidirect
388. #4029C2×C4semidirect
389. #4029C2×C4semidirect
390. #4029C2×C4semidirect
391. #4029C2×C4semidirect
395. #4027C2×C4semidirect
396. #4027C2×C4semidirect
397. #4027C2×C4semidirect
398. #4027C2×C4semidirect
399. D5×C22⋊C4C2×C4semidirect
400. D5×C22⋊C4C2×C4semidirect
401. D5×C22⋊C4C2×C4semidirect
402. D5×C22⋊C4C2×C4semidirect
403. D5×C22⋊C4C2×C4semidirect
404. D5×C22⋊C4C2×C4semidirect
405. D5×C22⋊C4C2×C4semidirect
406. D5×C22⋊C4C2×C4semidirect
421. #4025C2×C4semidirect
422. #4025C2×C4semidirect
423. #4025C2×C4semidirect
424. #4025C2×C4semidirect
425. #4025C2×C4semidirect
426. #4025C2×C4semidirect
427. #4024C2×C4semidirect
428. #4024C2×C4semidirect
429. #4024C2×C4semidirect
430. #4024C2×C4semidirect
431. #4023C2×C4semidirect
432. #4023C2×C4semidirect
433. #4023C2×C4semidirect
434. #4023C2×C4semidirect
435. #4022C2×C4semidirect
436. #4022C2×C4semidirect
437. #4021C2×C4semidirect
438. C4×D20C2×C4semidirect
439. C4×D20C2×C4semidirect
440. #4018C2×C4semidirect
441. #4018C2×C4semidirect
442. #4018C2×C4semidirect
443. #4018C2×C4semidirect
824. #551AGL(1,𝔽5)semidirect
1197. #126C2×AGL(1,𝔽5)semidirect
1198. #126C2×AGL(1,𝔽5)semidirect
1206. #124C2×AGL(1,𝔽5)semidirect
1228. #123C2×AGL(1,𝔽5)semidirect
1229. #123C2×AGL(1,𝔽5)semidirect
1230. #123C2×AGL(1,𝔽5)semidirect
1245. C22⋊Q8C2×AGL(1,𝔽5)semidirect
1246. C22⋊Q8C2×AGL(1,𝔽5)semidirect
1273. C4×D4C2×AGL(1,𝔽5)semidirect
1274. C4×D4C2×AGL(1,𝔽5)semidirect
1292. #117C2×AGL(1,𝔽5)semidirect
1293. #117C2×AGL(1,𝔽5)semidirect
1376. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
1377. C2×C22⋊C4C2×AGL(1,𝔽5)semidirect
2028. C5#34303semidirect

Maximal subgroups

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

subgroupindex
D5×#5512
#106173592
#106173582
AGL(1,𝔽5)×#1262
#106173272
AGL(1,𝔽5)×#1242
#106173072
#106173062
#106173052
AGL(1,𝔽5)×#1232
#106172862
#106172852
#106172842
#106172832
#106172232
#106172222
#106171802
#106171792
#106171742
#106171722
#106171332
#106171322
#106171292
AGL(1,𝔽5)×#1172
#106170722
C2×#657002
#106170672
#343035