Finite Group Databasebeta

← #13044350

Subgroups — #13044350

Order 1280.

1924 conjugacy classes of subgroups.

The subgroup lattice has 1906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D5×#552C211yesmaximal, characteristic
2#10617359C211yesmaximal, characteristic, complemented
3#10617359C211yesmaximal, characteristic, complemented
4#10617358C211yesmaximal, characteristic, complemented
5AGL(1,𝔽5)×#126C211yesmaximal, characteristic, complemented
6#10617348C211yesmaximal, characteristic, complemented
7#10617347C211yesmaximal, characteristic, complemented
8#10617346C211yesmaximal, characteristic, complemented
9#10617345C211yesmaximal, characteristic, complemented
10#10617345C211yesmaximal, characteristic, complemented
11#10617344C211yesmaximal, characteristic, complemented
12#10617308C211yesmaximal, characteristic
13#10617307C211yesmaximal, characteristic
14#10617305C211yesmaximal, characteristic
15#10617305C211yesmaximal, characteristic
16#10617288C211yesmaximal, characteristic, complemented
17#10617288C211yesmaximal, characteristic, complemented
18#10617284C211yesmaximal, characteristic, complemented
19#10617283C211yesmaximal, characteristic, complemented
20#10617214C211yesmaximal, characteristic, complemented
21#10617209C211yesmaximal, characteristic, complemented
22#10617180C211yesmaximal, characteristic
23#10617176C211yesmaximal, characteristic
24#10617134C211yesmaximal, characteristic, complemented
25#10617133C211yesmaximal, characteristic, complemented
26#10617132C211yesmaximal, characteristic, complemented
27#10617130C211yesmaximal, characteristic, complemented
28#10617130C211yesmaximal, characteristic, complemented
29#10617129C211yesmaximal, characteristic, complemented
30#10617104C211yesmaximal, characteristic, complemented
31#10617101C211yesmaximal, characteristic, complemented
32C5×#552C411yescharacteristic, complemented
33#66042C411yescharacteristic, complemented
34#66042C411yescharacteristic, complemented
35D5×#126C2211yescharacteristic
36D5×#126C2211yescharacteristic
37#66028C411yescharacteristic, complemented
38#66027C411yescharacteristic, complemented
39#66027C411yescharacteristic, complemented
40D5×#125C2211yescharacteristic
41D5×#125C2211yescharacteristic
42D5×#125C2211yescharacteristic
43D5×#123C2211yescharacteristic
44D5×#123C2211yescharacteristic
45#65984C411yescharacteristic, complemented
46#65984C411yescharacteristic, complemented
47#65976C411yescharacteristic, complemented
48#65973C411yescharacteristic, complemented
49D5×C22⋊Q8C2211yescharacteristic
50D5×C22⋊Q8C2211yescharacteristic
51#65915C411yescharacteristic, complemented
52C4×Q8×D5C2211yescharacteristic
53C4×D4×D5C2211yescharacteristic
54#65875C411yescharacteristic, complemented
55#65865C411yescharacteristic, complemented
56#65865C411yescharacteristic, complemented
57#65863C411yescharacteristic, complemented
58D5×#117C2211yescharacteristic
59D5×#117C2211yescharacteristic
60D5×#117C2211yescharacteristic
61#65847C411yescharacteristic, complemented
62C2×D5×C4⋊C4C2211yescharacteristic
63(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic
64(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic
65(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic
66(C2×AGL(1,𝔽5))⋊Q8C2211yescharacteristic
67#65780C2211yescharacteristic
68#65780C2211yescharacteristic
69#65779C2211yescharacteristic
70#65779C2211yescharacteristic
71#65765C2211yescharacteristic
72#65765C2211yescharacteristic
73#65765C2211yescharacteristic
74#65765C2211yescharacteristic
75#65765C2211yescharacteristic
76#65765C2211yescharacteristic
77#65765C2211yescharacteristic
78#65764C2211yescharacteristic
79#65764C2211yescharacteristic
80#65764C2211yescharacteristic
81C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
82C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
83C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
84C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
85C4×C22⋊AGL(1,𝔽5)C2211yescharacteristic
86C2×(C2×AGL(1,𝔽5))⋊C4C2211yescharacteristic
87#65712C2211yescharacteristic
88#65712C2211yescharacteristic
89#65712C2211yescharacteristic
90#65712C2211yescharacteristic
91#65712C2211yescharacteristic
92#65712C2211yescharacteristic
93#65712C2211yescharacteristic
94#65712C2211yescharacteristic
95#65712C2211yescharacteristic
96#65712C2211yescharacteristic
97#65712C2211yescharacteristic
98#65712C2211yescharacteristic
99#65712C2211yescharacteristic
100#65712C2211yescharacteristic
101#65711C2211yescharacteristic
102#65711C2211yescharacteristic
103#65711C2211yescharacteristic
104#65711C2211yescharacteristic
105#65711C2211yescharacteristic
106#65711C2211yescharacteristic
107#65711C2211yescharacteristic
108#65711C2211yescharacteristic
109#65711C2211yescharacteristic
110#65711C2211yescharacteristic
111#65711C2211yescharacteristic
112#65711C2211yescharacteristic
113#65711C2211yescharacteristic
114#65711C2211yescharacteristic
115#65711C2211yescharacteristic
116#65711C2211yescharacteristic
117#65711C2211yescharacteristic
118#65711C2211yescharacteristic
119#65711C2211yescharacteristic
120#65711C2211yescharacteristic
121#65711C2211yescharacteristic
122#65711C2211yescharacteristic
123#65711C2211yescharacteristic
124#65711C2211yescharacteristic
125#65711C2211yescharacteristic
126#65711C2211yescharacteristic
127#65711C2211yescharacteristic
128#65711C2211yescharacteristic
129#65711C2211yescharacteristic
130#65711C2211yescharacteristic
131#65711C2211yescharacteristic
132#65711C2211yescharacteristic
133#65711C2211yescharacteristic
134#65711C2211yescharacteristic
135#65711C2211yescharacteristic
136#65711C2211yescharacteristic
137#65711C2211yescharacteristic
138#65711C2211yescharacteristic
139C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
140C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
141C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
142C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
143C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
144C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
145C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
146C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
147C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
148C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
149C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
150C4⋊C4×AGL(1,𝔽5)C2211yescharacteristic
151#65700C2211yescharacteristic
152#65700C2211yescharacteristic
153#65700C2211yescharacteristic
154#65700C2211yescharacteristic
155#65700C2211yescharacteristic
156#65700C2211yescharacteristic
157#65700C2211yescharacteristic
158#65700C2211yescharacteristic
159#65700C2211yescharacteristic
160#65700C2211yescharacteristic
161#65700C2211yescharacteristic
162#65700C2211yescharacteristic
163#65700C2211yescharacteristic
164#65700C2211yescharacteristic
165#65700C2211yescharacteristic
166#65700C2211yescharacteristic
167#65700C2211yescharacteristic
168#65700C2211yescharacteristic
169#65700C2211yescharacteristic
170#65700C2211yescharacteristic
171#65700C2211yescharacteristic
172#65700C2211yescharacteristic
173#65699C2211yescharacteristic
174#65699C2211yescharacteristic
175#65699C2211yescharacteristic
176#65699C2211yescharacteristic
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
183#65690C2211yescharacteristic
184#65690C2211yescharacteristic
185#65690C2211yescharacteristic
186#65689C2211yescharacteristic
187#65689C2211yescharacteristic
188#65689C2211yescharacteristic
189#65688C2211yescharacteristic
190C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
191C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
192C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
193C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
194C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
195C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
196C4×C4⋊AGL(1,𝔽5)C2211yescharacteristic
197#65686C2211yescharacteristic
198#65686C2211yescharacteristic
199#65686C2211yescharacteristic
200#65686C2211yescharacteristic
201#65686C2211yescharacteristic
202C42×AGL(1,𝔽5)C2211yescharacteristic
203#34507—51nomaximal, Sylow
204C23×AGL(1,𝔽5)C2311yescharacteristic
205C23×AGL(1,𝔽5)C2311yescharacteristic
206C2×Q8×D5C2311yescharacteristic
207C2×D4×D5C2311yescharacteristic
208C22×C4×D5C2311yescharacteristic
209C22×C4×D5C2311yescharacteristic
210C22×C4×D5C2311yescharacteristic
211C22×C4×D5C2311yescharacteristic
212C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
213C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
214C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
215C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
216C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
217C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
218C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
219C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
220C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
221C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
222C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
223C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
224C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
225C2×C22⋊AGL(1,𝔽5)C2311yescharacteristic
226C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
227C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
228C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
229C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
230C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
231C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
232C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
233C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
234C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
235C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
236C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
237C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
238C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
239C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
240C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
241C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
242C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
243C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
244C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
245C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
246C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
247C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
248C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
249C2×C4⋊AGL(1,𝔽5)C2311yescharacteristic
250C2×C4×AGL(1,𝔽5)C2311yescharacteristic
251C2×C4×AGL(1,𝔽5)C2311yescharacteristic
252C2×C4×AGL(1,𝔽5)C2311yescharacteristic
253C2×C4×AGL(1,𝔽5)C2311yescharacteristic
254C2×C4×AGL(1,𝔽5)C2311yescharacteristic
255C2×C4×AGL(1,𝔽5)C2311yescharacteristic
256C2×C4×AGL(1,𝔽5)C2311yescharacteristic
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
274C5×#126C2×C411yescharacteristic
275C5×#126C2×C411yescharacteristic
276C5×#125C2×C411yescharacteristic, complemented
277C5×#125C2×C411yescharacteristic, complemented
278C5×#125C2×C411yescharacteristic, complemented
279C5×#123C2×C411yescharacteristic
280C5×#123C2×C411yescharacteristic
281C5×C22⋊Q8C2×C411yescharacteristic
282C5×C22⋊Q8C2×C411yescharacteristic, complemented
283C4×C5×Q8C2×C411yescharacteristic, complemented
284C4×C5×D4C2×C411yescharacteristic
285C5×#117C2×C411yescharacteristic
286C5×#117C2×C411yescharacteristic, complemented
287C5×#117C2×C411yescharacteristic, complemented
288C2×C5×C4⋊C4C2×C411yescharacteristic, complemented
289#4092C2×C411yescharacteristic
290#4092C2×C411yescharacteristic, complemented
291Q8×Dic5C2×C411yescharacteristic, complemented
292#4081C2×C411yescharacteristic
293#4081C2×C411yescharacteristic
294D4×Dic5C2×C411yescharacteristic
295#4075C2×C411yescharacteristic
296#4075C2×C411yescharacteristic
297C4×C22⋊D5C2×C411yescharacteristic
298C4×C22⋊D5C2×C411yescharacteristic
299#4072C2×C411yescharacteristic
300#4072C2×C411yescharacteristic, complemented
301#4072C2×C411yescharacteristic, complemented
302C2×C4⋊Dic5C2×C411yescharacteristic, complemented
303#4070C2×C411yescharacteristic
304#4070C2×C411yescharacteristic, complemented
305C2×#683C2×C411yescharacteristic, complemented
306C2×#683C2×C411yescharacteristic, complemented
307#4044C2×C411yescharacteristic
308#4044C2×C411yescharacteristic
309#4044C2×C411yescharacteristic
310#4044C2×C411yescharacteristic
311#4044C2×C411yescharacteristic
312#4044C2×C411yescharacteristic
313#4043C2×C411yescharacteristic
314#4043C2×C411yescharacteristic, complemented
315#4042C2×C411yescharacteristic
316#4042C2×C411yescharacteristic
317#4042C2×C411yescharacteristic, complemented
318#4042C2×C411yescharacteristic, complemented
319#4040C2×C411yescharacteristic
320#4040C2×C411yescharacteristic
321#4040C2×C411yescharacteristic
322#4040C2×C411yescharacteristic
323#4039C2×C411yescharacteristic
324#4038C2×C411yescharacteristic
325#4038C2×C411yescharacteristic
326#4038C2×C411yescharacteristic, complemented
327#4038C2×C411yescharacteristic, complemented
328#4038C2×C411yescharacteristic, complemented
329#4038C2×C411yescharacteristic, complemented
330D5×C4⋊C4C2×C411yescharacteristic, complemented
331D5×C4⋊C4C2×C411yescharacteristic, complemented
332D5×C4⋊C4C2×C411yescharacteristic, complemented
333D5×C4⋊C4C2×C411yescharacteristic, complemented
334D5×C4⋊C4C2311yescharacteristic
335D5×C4⋊C4C2311yescharacteristic
336D5×C4⋊C4C2311yescharacteristic
337D5×C4⋊C4C2311yescharacteristic
338D5×C4⋊C4C2311yescharacteristic
339D5×C4⋊C4C2311yescharacteristic
340D5×C4⋊C4C2311yescharacteristic
341D5×C4⋊C4C2311yescharacteristic
342D5×C4⋊C4C2311yescharacteristic
343D5×C4⋊C4C2311yescharacteristic
344D5×C4⋊C4C2311yescharacteristic
345D5×C4⋊C4C2311yescharacteristic
346D5×C4⋊C4C2311yescharacteristic
347D5×C4⋊C4C2311yescharacteristic
348D5×C4⋊C4C2311yescharacteristic
349D5×C4⋊C4C2311yescharacteristic
350#4036C2×C411yescharacteristic, complemented
351#4036C2×C411yescharacteristic, complemented
352#4036C2×C411yescharacteristic, complemented
353#4036C2×C411yescharacteristic, complemented
354#4036C2×C411yescharacteristic, complemented
355#4036C2×C411yescharacteristic, complemented
356#4035C2×C411yescharacteristic, complemented
357#4035C2×C411yescharacteristic, complemented
358#4035C2×C411yescharacteristic, complemented
359#4035C2×C411yescharacteristic, complemented
360#4035C2×C411yescharacteristic, complemented
361#4035C2×C411yescharacteristic, complemented
362#4035C2×C411yescharacteristic, complemented
363#4035C2×C411yescharacteristic, complemented
364#4035C2×C411yescharacteristic, complemented
365#4035C2×C411yescharacteristic, complemented
366#4035C2×C411yescharacteristic, complemented
367#4035C2×C411yescharacteristic, complemented
368#4033C2×C411yescharacteristic, complemented
369#4033C2×C411yescharacteristic, complemented
370#4033C2×C411yescharacteristic, complemented
371#4032C2×C411yescharacteristic
372#4032C2×C411yescharacteristic
373#4029C2×C411yescharacteristic
374#4029C2×C411yescharacteristic
375#4029C2×C411yescharacteristic
376#4029C2×C411yescharacteristic
377#4027C2×C411yescharacteristic
378#4027C2×C411yescharacteristic
379D5×C22⋊C4C2311yescharacteristic
380D5×C22⋊C4C2311yescharacteristic
381D5×C22⋊C4C2311yescharacteristic
382D5×C22⋊C4C2311yescharacteristic
383D5×C22⋊C4C2311yescharacteristic
384D5×C22⋊C4C2311yescharacteristic
385D5×C22⋊C4C2311yescharacteristic
386D5×C22⋊C4C2311yescharacteristic
387#4025C2×C411yescharacteristic
388#4025C2×C411yescharacteristic
389#4025C2×C411yescharacteristic
390#4025C2×C411yescharacteristic
391#4025C2×C411yescharacteristic
392#4025C2×C411yescharacteristic
393#4024C2×C411yescharacteristic
394#4024C2×C411yescharacteristic
395#4024C2×C411yescharacteristic, complemented
396#4024C2×C411yescharacteristic, complemented
397#4023C2×C411yescharacteristic
398#4023C2×C411yescharacteristic
399#4023C2×C411yescharacteristic, complemented
400#4023C2×C411yescharacteristic, complemented
401#4023C2×C411yescharacteristic, complemented
402#4023C2×C411yescharacteristic, complemented
403#4022C2×C411yescharacteristic
404#4022C2×C411yescharacteristic
405C4×D20C2×C411yescharacteristic
406#4018C2×C411yescharacteristic
407#4018C2×C411yescharacteristic
408#4018C2×C411yescharacteristic, complemented
409#4018C2×C411yescharacteristic, complemented
410#4018C2×C411yescharacteristic, complemented
411#4018C2×C411yescharacteristic, complemented
412C42×D5C2311yescharacteristic
413C42×D5C2311yescharacteristic
414C42×D5C2311yescharacteristic
415C42×D5C2311yescharacteristic
416C42×D5C2311yescharacteristic
417#4016C2×C411yescharacteristic, complemented
418#4016C2×C411yescharacteristic, complemented
419#4016C2×C411yescharacteristic, complemented
420C4×Dic10C2×C411yescharacteristic, complemented
421C4×Dic10C2×C411yescharacteristic, complemented
422C4×Dic10C2×C411yescharacteristic, complemented
423(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
424(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
425(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
426(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
427(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
428(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
429(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
430(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
431(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
432(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
433(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
434(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
435(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
436(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
437(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
438(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
439(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
440(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
441(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
442(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
443(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
444(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
445(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
446(C2×AGL(1,𝔽5))⋊C4C2311yescharacteristic
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
479C2×#552—51no—
480#2382—51no—
481#2378—51no—
482#2378—51no—
483#2376—51no—
484#2374—51no—
485#2373—51no—
486#2373—51no—
487#2371—51no—
488#2370—51no—
489#2356—51no—
490#2353—51no—
491#2347—51no—
492#2346—51no—
493#2345—51no—
494#2343—51no—
495#2336—51no—
496#2336—51no—
497#2335—51no—
498#2335—51no—
499#2334—51no—
500#2332—51no—
501#2330—51no—
502#2329—51no—
503#2319—51no—
504#2314—51no—
505#2314—51no—
506#2313—51no—
507C4×#126—51no—
508#2298—51no—
509#2295—51no—
510C23×D5C2411yescharacteristic
511C23×D5C2411yescharacteristic
512C22×AGL(1,𝔽5)—22no—
513C22×AGL(1,𝔽5)—41no—
514C22×AGL(1,𝔽5)—41no—
515C22×AGL(1,𝔽5)—41no—
516C22×AGL(1,𝔽5)—41no—
517C22×AGL(1,𝔽5)—41no—
518C22×AGL(1,𝔽5)C2411yescharacteristic
519C22×AGL(1,𝔽5)C2411yescharacteristic
520C22×AGL(1,𝔽5)C2411yescharacteristic
521C22×AGL(1,𝔽5)C2411yescharacteristic
522C22×AGL(1,𝔽5)C2411yescharacteristic
523C22×AGL(1,𝔽5)C2411yescharacteristic
524C22×AGL(1,𝔽5)C2411yescharacteristic
525C22×AGL(1,𝔽5)C2411yescharacteristic
526C22×AGL(1,𝔽5)C2411yescharacteristic
527C22×AGL(1,𝔽5)C2411yescharacteristic
528C22×AGL(1,𝔽5)C2411yescharacteristic
529C22×AGL(1,𝔽5)C2411yescharacteristic
530C22×AGL(1,𝔽5)C2411yescharacteristic
531C22×AGL(1,𝔽5)C2411yescharacteristic
532C22×AGL(1,𝔽5)C2411yescharacteristic
533C22×AGL(1,𝔽5)C2411yescharacteristic
534C2×C5×Q8C22×C411yescharacteristic
535C2×C5×D4C22×C411yescharacteristic
536C22×C4×C5C22×C411yescharacteristic
537C22×C4×C5C22×C411yescharacteristic
538C22×C4×C5C22×C411yescharacteristic
539C22×C4×C5C22×C411yescharacteristic
540C2×C22⋊D5C22×C411yescharacteristic
541C2×C22⋊D5C22×C411yescharacteristic
542C22×Dic5C22×C411yescharacteristic
543C22×Dic5C22×C411yescharacteristic
544C22×Dic5C22×C411yescharacteristic
545C22×Dic5C22×C411yescharacteristic
546Q8×D5—41no—
547Q8×D5—41no—
548D4×D5—41no—
549D4×D5—41no—
550C2×D20C22×C411yescharacteristic
551C2×C4×D5—41no—
552C2×C4×D5—41no—
553C2×C4×D5—41no—
554C2×C4×D5—41no—
555C2×C4×D5—41no—
556C2×C4×D5—41no—
557C2×C4×D5—41no—
558C2×C4×D5—41no—
559C2×C4×D5C22×C411yescharacteristic
560C2×C4×D5C22×C411yescharacteristic
561C2×C4×D5C22×C411yescharacteristic
562C2×C4×D5C22×C411yescharacteristic
563C2×C4×D5C22×C411yescharacteristic
564C2×C4×D5C22×C411yescharacteristic
565C2×C4×D5C22×C411yescharacteristic
566C2×C4×D5C22×C411yescharacteristic
567C2×C4×D5C2411yescharacteristic
568C2×C4×D5C2411yescharacteristic
569C2×C4×D5C2411yescharacteristic
570C2×C4×D5C2411yescharacteristic
571C2×C4×D5C2411yescharacteristic
572C2×C4×D5C2411yescharacteristic
573C2×C4×D5C2411yescharacteristic
574C2×C4×D5C2411yescharacteristic
575C2×C4×D5C2411yescharacteristic
576C2×C4×D5C2411yescharacteristic
577C2×C4×D5C2411yescharacteristic
578C2×C4×D5C2411yescharacteristic
579C2×C4×D5C2411yescharacteristic
580C2×Dic10C22×C411yescharacteristic
581C2×Dic10C22×C411yescharacteristic
582C2×Dic10C22×C411yescharacteristic
583C22⋊AGL(1,𝔽5)—22no—
584C22⋊AGL(1,𝔽5)—41no—
585C22⋊AGL(1,𝔽5)—41no—
586C22⋊AGL(1,𝔽5)—41no—
587C22⋊AGL(1,𝔽5)—41no—
588C22⋊AGL(1,𝔽5)—41no—
589C22⋊AGL(1,𝔽5)—41no—
590C22⋊AGL(1,𝔽5)—41no—
591C22⋊AGL(1,𝔽5)—41no—
592C22⋊AGL(1,𝔽5)—41no—
593C22⋊AGL(1,𝔽5)—41no—
594C22⋊AGL(1,𝔽5)—41no—
595C22⋊AGL(1,𝔽5)—41no—
596C22⋊AGL(1,𝔽5)—41no—
597C4⋊AGL(1,𝔽5)—22no—
598C4⋊AGL(1,𝔽5)—41no—
599C4⋊AGL(1,𝔽5)—41no—
600C4⋊AGL(1,𝔽5)—41no—
601C4⋊AGL(1,𝔽5)—41no—
602C4⋊AGL(1,𝔽5)—41no—
603C4⋊AGL(1,𝔽5)—41no—
604C4⋊AGL(1,𝔽5)—41no—
605C4⋊AGL(1,𝔽5)—41no—
606C4⋊AGL(1,𝔽5)—41no—
607C4⋊AGL(1,𝔽5)—41no—
608C4⋊AGL(1,𝔽5)—41no—
609C4⋊AGL(1,𝔽5)—41no—
610C4⋊AGL(1,𝔽5)—41no—
611C4⋊AGL(1,𝔽5)—41no—
612C4⋊AGL(1,𝔽5)—41no—
613C4⋊AGL(1,𝔽5)—41no—
614C4⋊AGL(1,𝔽5)—41no—
615C4⋊AGL(1,𝔽5)—41no—
616C4⋊AGL(1,𝔽5)—41no—
617C4⋊AGL(1,𝔽5)—41no—
618C4⋊AGL(1,𝔽5)—41no—
619C4⋊AGL(1,𝔽5)—41no—
620C4⋊AGL(1,𝔽5)—41no—
621C4×AGL(1,𝔽5)—22no—
622C4×AGL(1,𝔽5)—22no—
623C4×AGL(1,𝔽5)—41no—
624C4×AGL(1,𝔽5)—41no—
625C4×AGL(1,𝔽5)—41no—
626C4×AGL(1,𝔽5)—41no—
627C4×AGL(1,𝔽5)—41no—
628C4×AGL(1,𝔽5)—41no—
629C4×AGL(1,𝔽5)—41no—
630C4×AGL(1,𝔽5)—41no—
631C4×AGL(1,𝔽5)—41no—
632C4×AGL(1,𝔽5)—41no—
633C4×AGL(1,𝔽5)—41no—
634C4×AGL(1,𝔽5)—41no—
635C4×AGL(1,𝔽5)—41no—
636C4×AGL(1,𝔽5)—41no—
637C4×AGL(1,𝔽5)—41no—
638C4×AGL(1,𝔽5)—41no—
639C4×AGL(1,𝔽5)—41no—
640C4×AGL(1,𝔽5)—41no—
641C4×AGL(1,𝔽5)—41no—
642C4×AGL(1,𝔽5)—41no—
643C4×AGL(1,𝔽5)—41no—
644C4×AGL(1,𝔽5)—41no—
645C5×C4⋊C4C22×C411yescharacteristic
646C5×C4⋊C4C22×C411yescharacteristic
647C5×C4⋊C4C22×C411yescharacteristic
648C5×C4⋊C4C22×C411yescharacteristic
649C5×C4⋊C4C22×C411yescharacteristic
650C5×C4⋊C4C22×C411yescharacteristic
651C5×C4⋊C4C22×C411yescharacteristic
652C5×C4⋊C4C22×C411yescharacteristic
653C5×C4⋊C4C22×C411yescharacteristic
654C5×C4⋊C4C22×C411yescharacteristic
655C5×C4⋊C4C22×C411yescharacteristic
656C5×C4⋊C4C22×C411yescharacteristic
657C5×C4⋊C4C22×C411yescharacteristic
658C5×C4⋊C4C22×C411yescharacteristic
659C5×C4⋊C4C22×C411yescharacteristic
660C5×C4⋊C4C22×C411yescharacteristic
661C5×C22⋊C4C22×C411yescharacteristic
662C5×C22⋊C4C22×C411yescharacteristic
663C5×C22⋊C4C22×C411yescharacteristic
664C5×C22⋊C4C22×C411yescharacteristic
665C5×C22⋊C4C22×C411yescharacteristic
666C5×C22⋊C4C22×C411yescharacteristic
667C5×C22⋊C4C22×C411yescharacteristic
668C5×C22⋊C4C22×C411yescharacteristic
669C42×C5C22×C411yescharacteristic
670C42×C5C22×C411yescharacteristic
671C42×C5C22×C411yescharacteristic
672C42×C5C22×C411yescharacteristic
673C42×C5C22×C411yescharacteristic
674C22⋊Dic5C22×C411yescharacteristic
675C22⋊Dic5C22×C411yescharacteristic
676C22⋊Dic5C22×C411yescharacteristic
677C22⋊Dic5C22×C411yescharacteristic
678C22⋊Dic5C22×C411yescharacteristic
679C22⋊Dic5C22×C411yescharacteristic
680C22⋊Dic5C22×C411yescharacteristic
681C22⋊Dic5C22×C411yescharacteristic
682#685C22×C411yescharacteristic
683#685C22×C411yescharacteristic
684#685C22×C411yescharacteristic
685#685C22×C411yescharacteristic
686#685C22×C411yescharacteristic
687#685C22×C411yescharacteristic
688#685C22×C411yescharacteristic
689#685C22×C411yescharacteristic
690#685C22×C411yescharacteristic
691#685C22×C411yescharacteristic
692#685C22×C411yescharacteristic
693#685C22×C411yescharacteristic
694#685C22×C411yescharacteristic
695#685C22×C411yescharacteristic
696#685C22×C411yescharacteristic
697#685C22×C411yescharacteristic
698C4⋊Dic5C22×C411yescharacteristic
699C4⋊Dic5C22×C411yescharacteristic
700C4⋊Dic5C22×C411yescharacteristic
701C4⋊Dic5C22×C411yescharacteristic
702C4⋊Dic5C22×C411yescharacteristic
703C4⋊Dic5C22×C411yescharacteristic
704C4⋊Dic5C22×C411yescharacteristic
705C4⋊Dic5C22×C411yescharacteristic
706C4⋊Dic5C22×C411yescharacteristic
707C4⋊Dic5C22×C411yescharacteristic
708C4⋊Dic5C22×C411yescharacteristic
709C4⋊Dic5C22×C411yescharacteristic
710C4⋊Dic5C22×C411yescharacteristic
711C4⋊Dic5C22×C411yescharacteristic
712C4⋊Dic5C22×C411yescharacteristic
713C4⋊Dic5C22×C411yescharacteristic
714#683C22×C411yescharacteristic
715#683C22×C411yescharacteristic
716#683C22×C411yescharacteristic
717#683C22×C411yescharacteristic
718#683C22×C411yescharacteristic
719#683C22×C411yescharacteristic
720#683C22×C411yescharacteristic
721#683C22×C411yescharacteristic
722#683C22×C411yescharacteristic
723#683C22×C411yescharacteristic
724#683C22×C411yescharacteristic
725#683C22×C411yescharacteristic
726#683C22×C411yescharacteristic
727#683C22×C411yescharacteristic
728#683C22×C411yescharacteristic
729#683C22×C411yescharacteristic
730#683C22×C411yescharacteristic
731#683C22×C411yescharacteristic
732#683C22×C411yescharacteristic
733#683C22×C411yescharacteristic
734#683C22×C411yescharacteristic
735#683C22×C411yescharacteristic
736#683C22×C411yescharacteristic
737#683C22×C411yescharacteristic
738#683C22×C411yescharacteristic
739#683C22×C411yescharacteristic
740#683C22×C411yescharacteristic
741#683C22×C411yescharacteristic
742#683C22×C411yescharacteristic
743#683C22×C411yescharacteristic
744#683C22×C411yescharacteristic
745#683C22×C411yescharacteristic
746C4×Dic5C22×C411yescharacteristic
747C4×Dic5C22×C411yescharacteristic
748C4×Dic5C22×C411yescharacteristic
749C4×Dic5C22×C411yescharacteristic
750C4×Dic5C22×C411yescharacteristic
751C4×Dic5C22×C411yescharacteristic
752C4×Dic5C22×C411yescharacteristic
753C4×Dic5C22×C411yescharacteristic
754C4×Dic5C22×C411yescharacteristic
755C4×Dic5C22×C411yescharacteristic
756C4×Dic5C22×C411yescharacteristic
757C4×Dic5C22×C411yescharacteristic
758C4×Dic5C22×C411yescharacteristic
759C4×Dic5C22×C411yescharacteristic
760C4×Dic5C22×C411yescharacteristic
761#552—51no—
762#552—51no—
763#552—51no—
764#552—51no—
765#552—51no—
766#552—51no—
767#552—51no—
768#552—51no—
769#552—51no—
770#552—51no—
771#552—51no—
772#552—51no—
773#552—51no—
774#552—51no—
775#552—51no—
776#552AGL(1,𝔽5)11yescharacteristic, complemented
777C2×#126—51no—
778C2×#126—51no—
779C2×#125—51no—
780C2×#125—51no—
781C2×#125—51no—
782C2×#123—51no—
783C2×#123—51no—
784C2×C22⋊Q8—51no—
785C2×C22⋊Q8—51no—
786C2×C4×Q8—51no—
787C2×C4×D4—51no—
788C2×#117—51no—
789C2×#117—51no—
790C2×#117—51no—
791C22×C4⋊C4—51no—
792#391—51no—
793#391—51no—
794#391—51no—
795#391—51no—
796#390—51no—
797#390—51no—
798#389—51no—
799#389—51no—
800#389—51no—
801#389—51no—
802#389—51no—
803#389—51no—
804#389—51no—
805#389—51no—
806#389—51no—
807#389—51no—
808#389—51no—
809#389—51no—
810#389—51no—
811#389—51no—
812#388—51no—
813#388—51no—
814#388—51no—
815#388—51no—
816#388—51no—
817#388—51no—
818#388—51no—
819#388—51no—
820#388—51no—
821#388—51no—
822#388—51no—
823#388—51no—
824#388—51no—
825#388—51no—
826#388—51no—
827#388—51no—
828#388—51no—
829#388—51no—
830#388—51no—
831#388—51no—
832#388—51no—
833#388—51no—
834#387—51no—
835#387—51no—
836#387—51no—
837#387—51no—
838#387—51no—
839#387—51no—
840#387—51no—
841#387—51no—
842#387—51no—
843#387—51no—
844#387—51no—
845#387—51no—
846#387—51no—
847#387—51no—
848#387—51no—
849#387—51no—
850#387—51no—
851#387—51no—
852#387—51no—
853#387—51no—
854#387—51no—
855#387—51no—
856#387—51no—
857#387—51no—
858#387—51no—
859#387—51no—
860#387—51no—
861#387—51no—
862#387—51no—
863#387—51no—
864#387—51no—
865#387—51no—
866#387—51no—
867#387—51no—
868#387—51no—
869#387—51no—
870#387—51no—
871#387—51no—
872#386—51no—
873#386—51no—
874#385—51no—
875#385—51no—
876#385—51no—
877#385—51no—
878#384—51no—
879#383—51no—
880#383—51no—
881#383—51no—
882#382—51no—
883#382—51no—
884#382—51no—
885#381—51no—
886#381—51no—
887#381—51no—
888#380—51no—
889#380—51no—
890#380—51no—
891#380—51no—
892#380—51no—
893#380—51no—
894#380—51no—
895C4×C4⋊C4—51no—
896C4×C4⋊C4—51no—
897C4×C4⋊C4—51no—
898C4×C4⋊C4—51no—
899C4×C4⋊C4—51no—
900C4×C4⋊C4—51no—
901C4×C4⋊C4—51no—
902C4×C4⋊C4—51no—
903C4×C4⋊C4—51no—
904C4×C4⋊C4—51no—
905C4×C4⋊C4—51no—
906C4×C4⋊C4—51no—
907C4×C4⋊C4—51no—
908C4×C4⋊C4—51no—
909C4×C4⋊C4—51no—
910C4×C4⋊C4—51no—
911C4×C4⋊C4—51no—
912C4×C4⋊C4—51no—
913C4×C4⋊C4—51no—
914C4×C22⋊C4—51no—
915C4×C22⋊C4—51no—
916C4×C22⋊C4—51no—
917C4×C22⋊C4—51no—
918C4×C22⋊C4—51no—
919C4×C22⋊C4—51no—
920C4×C22⋊C4—51no—
921C4×C22⋊C4—51no—
922C4×C22⋊C4—51no—
923C4×C22⋊C4—51no—
924C4×C22⋊C4—51no—
925#376—51no—
926#376—51no—
927#376—51no—
928#376—51no—
929#376—51no—
930C2×#95—51no—
931C43—51no—
932C23×C5C23×C411yescharacteristic
933C23×C5C23×C411yescharacteristic
934C22×D5—21no—
935C22×D5—21no—
936C22×D5—21no—
937C22×D5—21no—
938C22×D5—21no—
939C22×D5—21no—
940C22×D5—21no—
941C22×D5—21no—
942C22×D5—21no—
943C22×D5—21no—
944C22×D5—21no—
945C22×D5—21no—
946C22×D5C23×C411yescharacteristic
947C22×D5C23×C411yescharacteristic
948C22×D5C2511yescharacteristic
949C2×AGL(1,𝔽5)—21no—
950C2×AGL(1,𝔽5)—21no—
951C2×AGL(1,𝔽5)—21no—
952C2×AGL(1,𝔽5)—21no—
953C2×AGL(1,𝔽5)—21no—
954C2×AGL(1,𝔽5)—21no—
955C2×AGL(1,𝔽5)—21no—
956C2×AGL(1,𝔽5)—21no—
957C2×AGL(1,𝔽5)—21no—
958C2×AGL(1,𝔽5)—21no—
959C2×AGL(1,𝔽5)—21no—
960C2×AGL(1,𝔽5)—21no—
961C2×AGL(1,𝔽5)—21no—
962C2×AGL(1,𝔽5)—21no—
963C2×AGL(1,𝔽5)—21no—
964C2×AGL(1,𝔽5)—21no—
965C2×AGL(1,𝔽5)—21no—
966C2×AGL(1,𝔽5)—21no—
967C2×AGL(1,𝔽5)—21no—
968C2×AGL(1,𝔽5)—21no—
969C2×AGL(1,𝔽5)—21no—
970C2×AGL(1,𝔽5)—21no—
971C2×AGL(1,𝔽5)—21no—
972C2×AGL(1,𝔽5)—21no—
973C2×AGL(1,𝔽5)—21no—
974C2×AGL(1,𝔽5)—21no—
975C2×AGL(1,𝔽5)—21no—
976C2×AGL(1,𝔽5)—21no—
977C2×AGL(1,𝔽5)—21no—
978C2×AGL(1,𝔽5)—21no—
979C2×AGL(1,𝔽5)—21no—
980C2×AGL(1,𝔽5)—21no—
981C2×AGL(1,𝔽5)—21no—
982C2×AGL(1,𝔽5)—21no—
983C2×AGL(1,𝔽5)—21no—
984C2×AGL(1,𝔽5)—21no—
985C2×AGL(1,𝔽5)—21no—
986C2×AGL(1,𝔽5)—21no—
987C2×AGL(1,𝔽5)—21no—
988C2×AGL(1,𝔽5)—21no—
989C2×AGL(1,𝔽5)—21no—
990C2×AGL(1,𝔽5)—21no—
991C2×AGL(1,𝔽5)—21no—
992C2×AGL(1,𝔽5)—21no—
993C2×AGL(1,𝔽5)—21no—
994C2×AGL(1,𝔽5)—21no—
995C2×AGL(1,𝔽5)—21no—
996C2×AGL(1,𝔽5)—82no—
997C2×AGL(1,𝔽5)—82no—
998C2×AGL(1,𝔽5)2−1+412yes—
999C5×Q8—41no—
1000C5×D4—41no—
1001C2×C4×C5—41no—
1002C2×C4×C5—41no—
1003C2×C4×C5—41no—
1004C2×C4×C5—41no—
1005C2×C4×C5C23×C411yescharacteristic
1006C2×C4×C5C23×C411yescharacteristic
1007C2×C4×C5C23×C411yescharacteristic
1008C2×C4×C5C23×C411yescharacteristic
1009C2×C4×C5C23×C411yescharacteristic
1010C2×C4×C5C23×C411yescharacteristic
1011C2×C4×C5C23×C411yescharacteristic
1012C2×C4×C5C23×C411yescharacteristic
1013C2×C4×C5C23×C411yescharacteristic
1014C2×C4×C5C23×C411yescharacteristic
1015C2×C4×C5C23×C411yescharacteristic
1016C2×C4×C5C23×C411yescharacteristic
1017C2×C4×C5C23×C411yescharacteristic
1018C22⋊D5—41no—
1019C22⋊D5—41no—
1020C2×Dic5—41no—
1021C2×Dic5—41no—
1022C2×Dic5—41no—
1023C2×Dic5—41no—
1024C2×Dic5C23×C411yescharacteristic
1025C2×Dic5C23×C411yescharacteristic
1026C2×Dic5C23×C411yescharacteristic
1027C2×Dic5C23×C411yescharacteristic
1028C2×Dic5C23×C411yescharacteristic
1029C2×Dic5C23×C411yescharacteristic
1030C2×Dic5C23×C411yescharacteristic
1031C2×Dic5C23×C411yescharacteristic
1032C2×Dic5C23×C411yescharacteristic
1033C2×Dic5C23×C411yescharacteristic
1034C2×Dic5C23×C411yescharacteristic
1035C2×Dic5C23×C411yescharacteristic
1036C2×Dic5C23×C411yescharacteristic
1037D20—41no—
1038C4×D5—21no—
1039C4×D5—21no—
1040C4×D5—21no—
1041C4×D5—21no—
1042C4×D5—21no—
1043C4×D5—21no—
1044C4×D5—21no—
1045C4×D5—21no—
1046C4×D5—21no—
1047C4×D5—21no—
1048C4×D5—21no—
1049C4×D5—21no—
1050C4×D5—21no—
1051C4×D5—21no—
1052C4×D5—21no—
1053C4×D5—21no—
1054C4×D5—21no—
1055C4×D5—21no—
1056C4×D5—21no—
1057C4×D5—21no—
1058C4×D5—21no—
1059C4×D5—21no—
1060C4×D5—21no—
1061C4×D5—21no—
1062C4×D5—21no—
1063C4×D5—21no—
1064C4×D5—41no—
1065C4×D5—41no—
1066C4×D5—41no—
1067C4×D5—41no—
1068C4×D5—41no—
1069C4×D5—41no—
1070C4×D5—41no—
1071C4×D5—41no—
1072Dic10—41no—
1073Dic10—41no—
1074Dic10—41no—
1075C22×Q8—51no—
1076C22×D4—51no—
1077C23×C4—51no—
1078C23×C4—51no—
1079C23×C4—51no—
1080C23×C4—51no—
1081C23×C4—51no—
1082C23×C4—51no—
1083#126—51no—
1084#126—51no—
1085#126—51no—
1086#126—51no—
1087#126—51no—
1088#126—51no—
1089#126—51no—
1090#126—51no—
1091#126—51no—
1092#126—51no—
1093#126—51no—
1094#126—51no—
1095#126—51no—
1096#126—51no—
1097#126C2×AGL(1,𝔽5)11yescharacteristic
1098#126C2×AGL(1,𝔽5)11yescharacteristic
1099#125—51no—
1100#125—51no—
1101#125—51no—
1102#125—51no—
1103#125—51no—
1104#125—51no—
1105#125—51no—
1106#125—51no—
1107#125—51no—
1108#125—51no—
1109#125—51no—
1110#125—51no—
1111#125—51no—
1112#125—51no—
1113#125—51no—
1114#125—51no—
1115#125—51no—
1116#125—51no—
1117#125—51no—
1118#125—51no—
1119#125—51no—
1120#125C2×AGL(1,𝔽5)11yescharacteristic, complemented
1121#125C2×AGL(1,𝔽5)11yescharacteristic, complemented
1122#125C2×AGL(1,𝔽5)11yescharacteristic, complemented
1123#123—51no—
1124#123—51no—
1125#123—51no—
1126#123—51no—
1127#123—51no—
1128#123—51no—
1129#123—51no—
1130#123—51no—
1131#123—51no—
1132#123—51no—
1133#123—51no—
1134#123—51no—
1135#123—51no—
1136#123—51no—
1137#123C2×AGL(1,𝔽5)11yescharacteristic
1138#123C2×AGL(1,𝔽5)11yescharacteristic
1139C22⋊Q8—51no—
1140C22⋊Q8—51no—
1141C22⋊Q8—51no—
1142C22⋊Q8—51no—
1143C22⋊Q8—51no—
1144C22⋊Q8—51no—
1145C22⋊Q8—51no—
1146C22⋊Q8—51no—
1147C22⋊Q8—51no—
1148C22⋊Q8—51no—
1149C22⋊Q8—51no—
1150C22⋊Q8—51no—
1151C22⋊Q8—51no—
1152C22⋊Q8—51no—
1153C22⋊Q8C2×AGL(1,𝔽5)11yescharacteristic
1154C22⋊Q8C2×AGL(1,𝔽5)11yescharacteristic, complemented
1155C4×Q8—51no—
1156C4×Q8—51no—
1157C4×Q8—51no—
1158C4×Q8—51no—
1159C4×Q8—51no—
1160C4×Q8—51no—
1161C4×Q8—51no—
1162C4×Q8C2×AGL(1,𝔽5)11yescharacteristic, complemented
1163C4×D4—51no—
1164C4×D4—51no—
1165C4×D4—51no—
1166C4×D4—51no—
1167C4×D4—51no—
1168C4×D4—51no—
1169C4×D4—51no—
1170C4×D4C2×AGL(1,𝔽5)11yescharacteristic
1171#117—51no—
1172#117—51no—
1173#117—51no—
1174#117—51no—
1175#117—51no—
1176#117—51no—
1177#117—51no—
1178#117—51no—
1179#117—51no—
1180#117—51no—
1181#117—51no—
1182#117—51no—
1183#117—51no—
1184#117—51no—
1185#117—51no—
1186#117—51no—
1187#117—51no—
1188#117—51no—
1189#117—51no—
1190#117—51no—
1191#117—51no—
1192#117C2×AGL(1,𝔽5)11yescharacteristic
1193#117C2×AGL(1,𝔽5)11yescharacteristic, complemented
1194#117C2×AGL(1,𝔽5)11yescharacteristic, complemented
1195C2×C4⋊C4—51no—
1196C2×C4⋊C4—51no—
1197C2×C4⋊C4—51no—
1198C2×C4⋊C4—51no—
1199C2×C4⋊C4—51no—
1200C2×C4⋊C4—51no—
1201C2×C4⋊C4—51no—
1202C2×C4⋊C4—51no—
1203C2×C4⋊C4—51no—
1204C2×C4⋊C4—51no—
1205C2×C4⋊C4—51no—
1206C2×C4⋊C4—51no—
1207C2×C4⋊C4—51no—
1208C2×C4⋊C4—51no—
1209C2×C4⋊C4—51no—
1210C2×C4⋊C4—51no—
1211C2×C4⋊C4—51no—
1212C2×C4⋊C4—51no—
1213C2×C4⋊C4—51no—
1214C2×C4⋊C4—51no—
1215C2×C4⋊C4—51no—
1216C2×C4⋊C4—51no—
1217C2×C4⋊C4—51no—
1218C2×C4⋊C4—51no—
1219C2×C4⋊C4—51no—
1220C2×C4⋊C4—51no—
1221C2×C4⋊C4—51no—
1222C2×C4⋊C4—51no—
1223C2×C4⋊C4—51no—
1224C2×C4⋊C4—51no—
1225C2×C4⋊C4—51no—
1226C2×C4⋊C4—51no—
1227C2×C4⋊C4—51no—
1228C2×C4⋊C4—51no—
1229C2×C4⋊C4—51no—
1230C2×C4⋊C4—51no—
1231C2×C4⋊C4—51no—
1232C2×C4⋊C4—51no—
1233C2×C4⋊C4—51no—
1234C2×C4⋊C4—51no—
1235C2×C4⋊C4—51no—
1236C2×C4⋊C4—51no—
1237C2×C4⋊C4—51no—
1238C2×C4⋊C4—51no—
1239C2×C4⋊C4—51no—
1240C2×C4⋊C4—51no—
1241C2×C4⋊C4—51no—
1242C2×C4⋊C4C2×AGL(1,𝔽5)11yescharacteristic, complemented
1243C2×C22⋊C4—51no—
1244C2×C22⋊C4—51no—
1245C2×C22⋊C4—51no—
1246C2×C22⋊C4—51no—
1247C2×C22⋊C4—51no—
1248C2×C22⋊C4—51no—
1249C2×C22⋊C4—51no—
1250C2×C22⋊C4—51no—
1251C2×C22⋊C4—51no—
1252C2×C22⋊C4—51no—
1253C2×C22⋊C4—51no—
1254C2×C22⋊C4—51no—
1255C2×C22⋊C4—51no—
1256C2×C22⋊C4—51no—
1257C2×C22⋊C4—51no—
1258C2×C22⋊C4—51no—
1259C2×C22⋊C4—51no—
1260C2×C22⋊C4—51no—
1261C2×C22⋊C4—51no—
1262C2×C22⋊C4—51no—
1263C2×C22⋊C4—51no—
1264C2×C22⋊C4—51no—
1265C2×C42—51no—
1266C2×C42—51no—
1267C2×C42—51no—
1268C2×C42—51no—
1269C2×C42—51no—
1270C2×C42—51no—
1271C2×C42—51no—
1272C2×C42—51no—
1273C2×C42—51no—
1274C2×C42—51no—
1275C2×C42—51no—
1276C2×C42—51no—
1277C2×C42—51no—
1278C2×C42—51no—
1279C2×C42—51no—
1280C2×C42—51no—
1281C2×C42—51no—
1282C2×C42—51no—
1283C2×C42—51no—
1284C2×C42—51no—
1285C2×C42—51no—
1286C2×C42—51no—
1287C2×C42—51no—
1288C2×C42—51no—
1289C2×C42—51no—
1290C2×C42—51no—
1291C2×C42—51no—
1292C2×C42—51no—
1293C2×C42—51no—
1294#95—51no—
1295#95—51no—
1296#95—51no—
1297#95—51no—
1298#95—51no—
1299#95—51no—
1300#95—51no—
1301#95—51no—
1302#95—51no—
1303#95—51no—
1304#95—51no—
1305#95—51no—
1306#95—51no—
1307#95—51no—
1308#95—51no—
1309#95—51no—
1310#95—51no—
1311#95—51no—
1312#95—51no—
1313#95—51no—
1314#95—51no—
1315#95—51no—
1316#95—51no—
1317#95—51no—
1318#95—51no—
1319#95—51no—
1320#95—51no—
1321#95—51no—
1322#95—51no—
1323#95—51no—
1324#95—51no—
1325#95—51no—
1326#95—51no—
1327#95—51no—
1328#95—51no—
1329#95—51no—
1330#95—51no—
1331#95—51no—
1332#95—51no—
1333#95—51no—
1334#95—51no—
1335#95—51no—
1336#95—51no—
1337#95—51no—
1338#95—51no—
1339#95—51no—
1340#95—51no—
1341#95—51no—
1342#95—51no—
1343#95—51no—
1344#95—51no—
1345#95—51no—
1346#95—51no—
1347#95—51no—
1348#95—51no—
1349#95—51no—
1350C22×C5—21no—
1351C22×C5—21no—
1352C22×C5—21no—
1353C22×C5—21no—
1354C22×C5—21no—
1355C22×C5—21no—
1356C22×C5C24×C411yescharacteristic
1357C2×D5—21no—
1358C2×D5—21no—
1359C2×D5—21no—
1360C2×D5—21no—
1361C2×D5—21no—
1362C2×D5—21no—
1363C2×D5—41no—
1364C2×D5—41no—
1365C2×D5—41no—
1366C2×D5—41no—
1367C2×D5—41no—
1368C2×D5—41no—
1369C2×D5—41no—
1370C2×D5—41no—
1371C2×D5C2×2−1+411yescharacteristic
1372C2×D5#58511yescharacteristic
1373C2×D5#58511yescharacteristic
1374C2×D5#58511yescharacteristic
1375C2×D5#58511yescharacteristic
1376C2×D5#58511yescharacteristic
1377AGL(1,𝔽5)—22no—
1378AGL(1,𝔽5)—41no—
1379AGL(1,𝔽5)—41no—
1380AGL(1,𝔽5)—41no—
1381AGL(1,𝔽5)—41no—
1382AGL(1,𝔽5)—41no—
1383AGL(1,𝔽5)—41no—
1384AGL(1,𝔽5)—41no—
1385AGL(1,𝔽5)—41no—
1386AGL(1,𝔽5)—41no—
1387AGL(1,𝔽5)—41no—
1388AGL(1,𝔽5)—41no—
1389AGL(1,𝔽5)—41no—
1390AGL(1,𝔽5)—41no—
1391AGL(1,𝔽5)—41no—
1392AGL(1,𝔽5)—41no—
1393C4×C5—21no—
1394C4×C5—21no—
1395C4×C5—21no—
1396C4×C5—21no—
1397C4×C5—21no—
1398C4×C5—21no—
1399C4×C5—21no—
1400C4×C5—21no—
1401C4×C5—21no—
1402C4×C5—21no—
1403C4×C5—21no—
1404C4×C5—21no—
1405C4×C5—21no—
1406Dic5—21no—
1407Dic5—21no—
1408Dic5—21no—
1409Dic5—21no—
1410Dic5—21no—
1411Dic5—21no—
1412Dic5—21no—
1413Dic5—21no—
1414Dic5—21no—
1415Dic5—21no—
1416Dic5—21no—
1417Dic5—21no—
1418Dic5—21no—
1419C24—51no—
1420C24—51no—
1421C2×Q8—51no—
1422C2×Q8—51no—
1423C2×Q8—51no—
1424C2×Q8—201no—
1425C2×Q8—201no—
1426C2×Q8C22×AGL(1,𝔽5)11yescharacteristic
1427C2×D4—51no—
1428C2×D4—51no—
1429C2×D4—51no—
1430C2×D4—201no—
1431C2×D4—201no—
1432C2×D4C22×AGL(1,𝔽5)11yescharacteristic
1433C22×C4—51no—
1434C22×C4—51no—
1435C22×C4—51no—
1436C22×C4—51no—
1437C22×C4—51no—
1438C22×C4—51no—
1439C22×C4—51no—
1440C22×C4—51no—
1441C22×C4—51no—
1442C22×C4—51no—
1443C22×C4—51no—
1444C22×C4—51no—
1445C22×C4—51no—
1446C22×C4—51no—
1447C22×C4—51no—
1448C22×C4—51no—
1449C22×C4—51no—
1450C22×C4—51no—
1451C22×C4—51no—
1452C22×C4—51no—
1453C22×C4—51no—
1454C22×C4—51no—
1455C22×C4—51no—
1456C22×C4—51no—
1457C22×C4—51no—
1458C22×C4—51no—
1459C22×C4—51no—
1460C22×C4—51no—
1461C22×C4—51no—
1462C22×C4—51no—
1463C22×C4—51no—
1464C22×C4—51no—
1465C22×C4—51no—
1466C22×C4—51no—
1467C22×C4—51no—
1468C22×C4—51no—
1469C22×C4—51no—
1470C22×C4—51no—
1471C22×C4—51no—
1472C22×C4—51no—
1473C22×C4—51no—
1474C22×C4—102no—
1475C22×C4—201no—
1476C22×C4—201no—
1477C22×C4—201no—
1478C22×C4—201no—
1479C22×C4—201no—
1480C22×C4—201no—
1481C22×C4—201no—
1482C22×C4—201no—
1483C22×C4—201no—
1484C22×C4—201no—
1485C22×C4—201no—
1486C22×C4—201no—
1487C22×C4—201no—
1488C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1489C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1490C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1491C22×C4C22×AGL(1,𝔽5)11yescharacteristic
1492C4⋊C4—51no—
1493C4⋊C4—51no—
1494C4⋊C4—51no—
1495C4⋊C4—51no—
1496C4⋊C4—51no—
1497C4⋊C4—51no—
1498C4⋊C4—51no—
1499C4⋊C4—51no—
1500C4⋊C4—51no—
1501C4⋊C4—51no—
1502C4⋊C4—51no—
1503C4⋊C4—51no—
1504C4⋊C4—51no—
1505C4⋊C4—51no—
1506C4⋊C4—51no—
1507C4⋊C4—51no—
1508C4⋊C4—51no—
1509C4⋊C4—51no—
1510C4⋊C4—51no—
1511C4⋊C4—51no—
1512C4⋊C4—51no—
1513C4⋊C4—51no—
1514C4⋊C4—51no—
1515C4⋊C4—51no—
1516C4⋊C4—51no—
1517C4⋊C4—51no—
1518C4⋊C4—51no—
1519C4⋊C4—51no—
1520C4⋊C4—51no—
1521C4⋊C4—51no—
1522C4⋊C4—51no—
1523C4⋊C4—51no—
1524C4⋊C4—51no—
1525C4⋊C4—51no—
1526C4⋊C4—51no—
1527C4⋊C4—51no—
1528C4⋊C4—51no—
1529C4⋊C4—51no—
1530C4⋊C4—51no—
1531C4⋊C4—51no—
1532C4⋊C4—51no—
1533C4⋊C4—51no—
1534C4⋊C4—51no—
1535C4⋊C4—51no—
1536C4⋊C4—51no—
1537C4⋊C4—51no—
1538C4⋊C4—51no—
1539C4⋊C4—51no—
1540C4⋊C4—102no—
1541C4⋊C4—201no—
1542C4⋊C4—201no—
1543C4⋊C4—201no—
1544C4⋊C4—201no—
1545C4⋊C4—201no—
1546C4⋊C4—201no—
1547C4⋊C4—201no—
1548C4⋊C4—201no—
1549C4⋊C4—201no—
1550C4⋊C4—201no—
1551C4⋊C4—201no—
1552C4⋊C4—201no—
1553C4⋊C4—201no—
1554C4⋊C4—201no—
1555C4⋊C4—201no—
1556C4⋊C4—201no—
1557C4⋊C4—201no—
1558C4⋊C4—201no—
1559C4⋊C4—201no—
1560C4⋊C4—201no—
1561C4⋊C4—201no—
1562C4⋊C4—201no—
1563C4⋊C4—201no—
1564C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1565C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1566C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1567C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1568C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1569C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1570C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1571C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1572C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1573C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1574C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1575C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1576C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1577C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1578C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1579C4⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1580C22⋊C4—51no—
1581C22⋊C4—51no—
1582C22⋊C4—51no—
1583C22⋊C4—51no—
1584C22⋊C4—51no—
1585C22⋊C4—51no—
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—102no—
1605C22⋊C4—201no—
1606C22⋊C4—201no—
1607C22⋊C4—201no—
1608C22⋊C4—201no—
1609C22⋊C4—201no—
1610C22⋊C4—201no—
1611C22⋊C4—201no—
1612C22⋊C4—201no—
1613C22⋊C4—201no—
1614C22⋊C4—201no—
1615C22⋊C4—201no—
1616C22⋊C4—201no—
1617C22⋊C4—201no—
1618C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1619C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1620C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1621C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1622C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1623C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1624C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1625C22⋊C4C22×AGL(1,𝔽5)11yescharacteristic
1626C42—51no—
1627C42—51no—
1628C42—51no—
1629C42—51no—
1630C42—51no—
1631C42—51no—
1632C42—51no—
1633C42—51no—
1634C42—51no—
1635C42—51no—
1636C42—51no—
1637C42—51no—
1638C42—51no—
1639C42—51no—
1640C42—51no—
1641C42—102no—
1642C42—102no—
1643C42—201no—
1644C42—201no—
1645C42—201no—
1646C42—201no—
1647C42—201no—
1648C42—201no—
1649C42—201no—
1650C42—201no—
1651C42—201no—
1652C42—201no—
1653C42—201no—
1654C42—201no—
1655C42—201no—
1656C42—201no—
1657C42—201no—
1658C42—201no—
1659C42—201no—
1660C42—201no—
1661C42—201no—
1662C42—201no—
1663C42—201no—
1664C42—201no—
1665C42C22×AGL(1,𝔽5)11yescharacteristic
1666C42C22×AGL(1,𝔽5)11yescharacteristic
1667C42C22×AGL(1,𝔽5)11yescharacteristic
1668C42C22×AGL(1,𝔽5)11yescharacteristic
1669C42C22×AGL(1,𝔽5)11yescharacteristic
1670C2×C5—41no—
1671C2×C5—41no—
1672C2×C5#342811yescharacteristic
1673C2×C5#342811yescharacteristic
1674C2×C5C4×2−1+411yescharacteristic
1675D5—41no—
1676D5—41no—
1677D5#356411yescharacteristic
1678D5#356511yescharacteristic
1679D5#356611yescharacteristic
1680D5#356711yescharacteristic
1681C23—51no—
1682C23—51no—
1683C23—51no—
1684C23—101no—
1685C23—101no—
1686C23—101no—
1687C23—101no—
1688C23—101no—
1689C23—101no—
1690C23—101no—
1691C23—101no—
1692C23—101no—
1693C23—101no—
1694C23—101no—
1695C23—101no—
1696C23C23×AGL(1,𝔽5)11yescharacteristic
1697C23C23×AGL(1,𝔽5)11yescharacteristic
1698Q8—41no—
1699Q8—201no—
1700Q8—201no—
1701Q8—201no—
1702D4—41no—
1703D4—201no—
1704D4—201no—
1705D4—201no—
1706C2×C4—41no—
1707C2×C4—41no—
1708C2×C4—41no—
1709C2×C4—41no—
1710C2×C4—52no—
1711C2×C4—51no—
1712C2×C4—51no—
1713C2×C4—51no—
1714C2×C4—51no—
1715C2×C4—51no—
1716C2×C4—51no—
1717C2×C4—51no—
1718C2×C4—51no—
1719C2×C4—51no—
1720C2×C4—51no—
1721C2×C4—51no—
1722C2×C4—51no—
1723C2×C4—51no—
1724C2×C4—101no—
1725C2×C4—101no—
1726C2×C4—101no—
1727C2×C4—101no—
1728C2×C4—101no—
1729C2×C4—101no—
1730C2×C4—101no—
1731C2×C4—101no—
1732C2×C4—101no—
1733C2×C4—101no—
1734C2×C4—101no—
1735C2×C4—101no—
1736C2×C4—101no—
1737C2×C4—101no—
1738C2×C4—101no—
1739C2×C4—101no—
1740C2×C4—101no—
1741C2×C4—101no—
1742C2×C4—101no—
1743C2×C4—101no—
1744C2×C4—101no—
1745C2×C4—101no—
1746C2×C4—101no—
1747C2×C4—101no—
1748C2×C4—101no—
1749C2×C4—101no—
1750C2×C4—101no—
1751C2×C4—101no—
1752C2×C4—101no—
1753C2×C4—101no—
1754C2×C4—101no—
1755C2×C4—101no—
1756C2×C4—101no—
1757C2×C4—101no—
1758C2×C4—101no—
1759C2×C4—101no—
1760C2×C4—101no—
1761C2×C4—101no—
1762C2×C4—101no—
1763C2×C4—101no—
1764C2×C4—101no—
1765C2×C4—101no—
1766C2×C4—101no—
1767C2×C4—101no—
1768C2×C4—101no—
1769C2×C4—101no—
1770C2×C4—101no—
1771C2×C4—101no—
1772C2×C4—101no—
1773C2×C4—101no—
1774C2×C4—101no—
1775C2×C4—101no—
1776C2×C4—101no—
1777C2×C4—101no—
1778C2×C4—101no—
1779C2×C4—101no—
1780C2×C4—101no—
1781C2×C4—101no—
1782C2×C4—101no—
1783C2×C4—101no—
1784C2×C4—101no—
1785C2×C4—101no—
1786C2×C4—101no—
1787C2×C4—101no—
1788C2×C4—101no—
1789C2×C4—101no—
1790C2×C4—101no—
1791C2×C4—101no—
1792C2×C4—101no—
1793C2×C4—101no—
1794C2×C4—101no—
1795C2×C4—101no—
1796C2×C4—101no—
1797C2×C4—201no—
1798C2×C4—201no—
1799C2×C4—201no—
1800C2×C4—201no—
1801C2×C4—201no—
1802C2×C4—201no—
1803C2×C4—201no—
1804C2×C4—201no—
1805C2×C4—201no—
1806C2×C4—201no—
1807C2×C4—201no—
1808C2×C4—201no—
1809C2×C4—402no—
1810C2×C4—402no—
1811C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1812C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1813C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1814C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1815C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1816C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1817C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1818C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1819C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1820C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1821C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1822C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1823C2×C4C23×AGL(1,𝔽5)11yescharacteristic
1824C5#3450711yescharacteristic, complemented, Sylow
1825C22—21no—
1826C22—21no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—21no—
1831C22—51no—
1832C22—51no—
1833C22—51no—
1834C22—51no—
1835C22—51no—
1836C22—51no—
1837C22—101no—
1838C22—101no—
1839C22—101no—
1840C22—101no—
1841C22—101no—
1842C22—101no—
1843C22—201no—
1844C22—201no—
1845C22—201no—
1846C22—201no—
1847C22—201no—
1848C22—201no—
1849C22—201no—
1850C22—201no—
1851C22C24×AGL(1,𝔽5)11yescharacteristic
1852C4—21no—
1853C4—21no—
1854C4—21no—
1855C4—21no—
1856C4—21no—
1857C4—21no—
1858C4—21no—
1859C4—21no—
1860C4—21no—
1861C4—21no—
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—102no—
1866C4—101no—
1867C4—101no—
1868C4—101no—
1869C4—101no—
1870C4—101no—
1871C4—101no—
1872C4—101no—
1873C4—101no—
1874C4—101no—
1875C4—101no—
1876C4—101no—
1877C4—101no—
1878C4—101no—
1879C4—201no—
1880C4—201no—
1881C4—201no—
1882C4—201no—
1883C4—201no—
1884C4—201no—
1885C4—201no—
1886C4—201no—
1887C4—201no—
1888C4—201no—
1889C4—201no—
1890C4—201no—
1891C4—201no—
1892C4—201no—
1893C4—201no—
1894C2—41no—
1895C2—41no—
1896C2—51no—
1897C2—51no—
1898C2—51no—
1899C2—51no—
1900C2—201no—
1901C2—201no—
1902C2#1061941211yescharacteristic
1903C2#1061941211yescharacteristic
1904C2AGL(1,𝔽5)×2−1+411yescharacteristic
subgroupG/H
center, FrattiniC22C24×AGL(1,𝔽5)
commutator, socleC22×C5C24×C4
FittingC5×#552C4
prime radicalC2×D4×D5C23
cosocleC22×D5C25
hypercenter#552AGL(1,𝔽5)
hypocenterC5#34507
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22 ◁ #552

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. #10617348C2semidirect
7. #10617347C2semidirect
8. #10617346C2semidirect
9. #10617345C2semidirect
10. #10617345C2semidirect
11. #10617344C2semidirect
16. #10617288C2semidirect
17. #10617288C2semidirect
18. #10617284C2semidirect
19. #10617283C2semidirect
20. #10617214C2semidirect
21. #10617209C2semidirect
24. #10617134C2semidirect
25. #10617133C2semidirect
26. #10617132C2semidirect
27. #10617130C2semidirect
28. #10617130C2semidirect
29. #10617129C2semidirect
30. #10617104C2semidirect
31. #10617101C2semidirect
32. C5×#552C4semidirect
33. #66042C4semidirect
34. #66042C4semidirect
37. #66028C4semidirect
38. #66027C4semidirect
39. #66027C4semidirect
45. #65984C4semidirect
46. #65984C4semidirect
47. #65976C4semidirect
48. #65973C4semidirect
51. #65915C4semidirect
54. #65875C4semidirect
55. #65865C4semidirect
56. #65865C4semidirect
57. #65863C4semidirect
61. #65847C4semidirect
276. C5×#125C2×C4semidirect
277. C5×#125C2×C4semidirect
278. C5×#125C2×C4semidirect
282. C5×C22⋊Q8C2×C4semidirect
283. C4×C5×Q8C2×C4semidirect
286. C5×#117C2×C4semidirect
287. C5×#117C2×C4semidirect
288. C2×C5×C4⋊C4C2×C4semidirect
290. #4092C2×C4semidirect
291. Q8×Dic5C2×C4semidirect
300. #4072C2×C4semidirect
301. #4072C2×C4semidirect
302. C2×C4⋊Dic5C2×C4semidirect
304. #4070C2×C4semidirect
305. C2×#683C2×C4semidirect
306. C2×#683C2×C4semidirect
314. #4043C2×C4semidirect
317. #4042C2×C4semidirect
318. #4042C2×C4semidirect
326. #4038C2×C4semidirect
327. #4038C2×C4semidirect
328. #4038C2×C4semidirect
329. #4038C2×C4semidirect
330. D5×C4⋊C4C2×C4semidirect
331. D5×C4⋊C4C2×C4semidirect
332. D5×C4⋊C4C2×C4semidirect
333. D5×C4⋊C4C2×C4semidirect
350. #4036C2×C4semidirect
351. #4036C2×C4semidirect
352. #4036C2×C4semidirect
353. #4036C2×C4semidirect
354. #4036C2×C4semidirect
355. #4036C2×C4semidirect
356. #4035C2×C4semidirect
357. #4035C2×C4semidirect
358. #4035C2×C4semidirect
359. #4035C2×C4semidirect
360. #4035C2×C4semidirect
361. #4035C2×C4semidirect
362. #4035C2×C4semidirect
363. #4035C2×C4semidirect
364. #4035C2×C4semidirect
365. #4035C2×C4semidirect
366. #4035C2×C4semidirect
367. #4035C2×C4semidirect
368. #4033C2×C4semidirect
369. #4033C2×C4semidirect
370. #4033C2×C4semidirect
395. #4024C2×C4semidirect
396. #4024C2×C4semidirect
399. #4023C2×C4semidirect
400. #4023C2×C4semidirect
401. #4023C2×C4semidirect
402. #4023C2×C4semidirect
408. #4018C2×C4semidirect
409. #4018C2×C4semidirect
410. #4018C2×C4semidirect
411. #4018C2×C4semidirect
417. #4016C2×C4semidirect
418. #4016C2×C4semidirect
419. #4016C2×C4semidirect
420. C4×Dic10C2×C4semidirect
421. C4×Dic10C2×C4semidirect
422. C4×Dic10C2×C4semidirect
776. #552AGL(1,𝔽5)semidirect
1120. #125C2×AGL(1,𝔽5)semidirect
1121. #125C2×AGL(1,𝔽5)semidirect
1122. #125C2×AGL(1,𝔽5)semidirect
1154. C22⋊Q8C2×AGL(1,𝔽5)semidirect
1162. C4×Q8C2×AGL(1,𝔽5)semidirect
1193. #117C2×AGL(1,𝔽5)semidirect
1194. #117C2×AGL(1,𝔽5)semidirect
1242. C2×C4⋊C4C2×AGL(1,𝔽5)semidirect
1824. C5#34507semidirect

Maximal subgroups

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

subgroupindex
D5×#5522
#106173592
#106173582
AGL(1,𝔽5)×#1262
#106173482
#106173472
#106173462
#106173452
#106173442
#106173082
#106173072
#106173052
#106172882
#106172842
#106172832
#106172142
#106172092
#106171802
#106171762
#106171342
#106171332
#106171322
#106171302
#106171292
#106171042
#106171012
#345075