Finite Group Databasebeta

← #25303320

Subgroups — #25303320

Order 11008.

1304 conjugacy classes of subgroups.

The subgroup lattice has 1190 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19142869C211yesmaximal, characteristic
2#19142846C211yesmaximal, characteristic
3#19142844C211yesmaximal, characteristic
4#19142842C211yesmaximal, characteristic
5#19142840C211yesmaximal, characteristic
6#19142838C211yesmaximal, characteristic
7#19142837C211yesmaximal, characteristic
8#19142836C211yesmaximal, characteristic
9#19142835C211yesmaximal, characteristic
10#19142834C211yesmaximal, characteristic
11#19142833C211yesmaximal, characteristic
12#19142832C211yesmaximal, characteristic
13#19142665C211yesmaximal, characteristic
14#19142664C211yesmaximal, characteristic
15#19142661C211yesmaximal, characteristic
16#19137901C211yesmaximal, characteristic
17#19137901C211yesmaximal, characteristic
18#19137901C211yesmaximal, characteristic
19#19137901C211yesmaximal, characteristic
20#19137901C211yesmaximal, characteristic
21#19137901C211yesmaximal, characteristic
22#19137901C211yesmaximal, characteristic
23#19137899C211yesmaximal, characteristic
24#19137899C211yesmaximal, characteristic
25#19137899C211yesmaximal, characteristic
26#19137899C211yesmaximal, characteristic
27#19137899C211yesmaximal, characteristic
28#19137154C211yesmaximal, characteristic
29#19137152C211yesmaximal, characteristic
30#19137152C211yesmaximal, characteristic
31C43×#2839C211yesmaximal, characteristic
32C2×#13063316C2211yescharacteristic
33C2×#13063315C2211yescharacteristic
34C2×#13063315C2211yescharacteristic
35#14582841C2211yescharacteristic
36#14582841C2211yescharacteristic
37#14582841C2211yescharacteristic
38#14582841C2211yescharacteristic
39#14582841C2211yescharacteristic
40#14582841C2211yescharacteristic
41#14582841C2211yescharacteristic
42#14582841C2211yescharacteristic
43#14582841C2211yescharacteristic
44#14582841C2211yescharacteristic
45#14582841C2211yescharacteristic
46#14582841C2211yescharacteristic
47#14582840C2211yescharacteristic
48#14582840C2211yescharacteristic
49#14582840C2211yescharacteristic
50#14582840C2211yescharacteristic
51#14582840C2211yescharacteristic
52#14582840C2211yescharacteristic
53#14582840C2211yescharacteristic
54#14582840C2211yescharacteristic
55#14582840C2211yescharacteristic
56#14582840C2211yescharacteristic
57#14582840C2211yescharacteristic
58#14582840C2211yescharacteristic
59#14582840C2211yescharacteristic
60#14582840C2211yescharacteristic
61#14582839C2211yescharacteristic
62#14582839C2211yescharacteristic
63#14582839C2211yescharacteristic
64#14582839C2211yescharacteristic
65#14582839C2211yescharacteristic
66#14582838C2211yescharacteristic
67#14582838C2211yescharacteristic
68#14582838C2211yescharacteristic
69#14582838C2211yescharacteristic
70#14582838C2211yescharacteristic
71#14582837C2211yescharacteristic
72#14582837C2211yescharacteristic
73#14582837C2211yescharacteristic
74#14582837C2211yescharacteristic
75#14582837C2211yescharacteristic
76#14582833C2211yescharacteristic
77#14582833C2211yescharacteristic
78#14582833C2211yescharacteristic
79#14582833C2211yescharacteristic
80#14582833C2211yescharacteristic
81#14582833C2211yescharacteristic
82#14582833C2211yescharacteristic
83#14582833C2211yescharacteristic
84#14582833C2211yescharacteristic
85#14582833C2211yescharacteristic
86#14582833C2211yescharacteristic
87#14582833C2211yescharacteristic
88#14582833C2211yescharacteristic
89#14582833C2211yescharacteristic
90#14582832C2211yescharacteristic
91#14582832C2211yescharacteristic
92#14582832C2211yescharacteristic
93#14582832C2211yescharacteristic
94#14582832C2211yescharacteristic
95#14582832C2211yescharacteristic
96#14582832C2211yescharacteristic
97#14582832C2211yescharacteristic
98#14582832C2211yescharacteristic
99#14582832C2211yescharacteristic
100#14582832C2211yescharacteristic
101#14582832C2211yescharacteristic
102#14582831C2211yescharacteristic
103#14582831C2211yescharacteristic
104#14582831C2211yescharacteristic
105#14582831C2211yescharacteristic
106#14582831C2211yescharacteristic
107#14582830C2211yescharacteristic
108#14582830C2211yescharacteristic
109#14582830C2211yescharacteristic
110#14582830C2211yescharacteristic
111#14582830C2211yescharacteristic
112#14582830C2211yescharacteristic
113#14582830C2211yescharacteristic
114#14582829C2211yescharacteristic
115#14582829C2211yescharacteristic
116#14582829C2211yescharacteristic
117#14582829C2211yescharacteristic
118#14582829C2211yescharacteristic
119#14582797C2211yescharacteristic
120#14582796C2211yescharacteristic
121#14582796C2211yescharacteristic
122#14582794C2211yescharacteristic
123#14582794C2211yescharacteristic
124#14582786C2211yescharacteristic
125#14582786C2211yescharacteristic
126#14582784C2211yescharacteristic
127#14582784C2211yescharacteristic
128#14582783C2211yescharacteristic
129#14582783C2211yescharacteristic
130#14582782C2211yescharacteristic
131#14582782C2211yescharacteristic
132#14582780C2211yescharacteristic
133#14582780C2211yescharacteristic
134#14582764C2211yescharacteristic
135#14582763C2211yescharacteristic
136#14582763C2211yescharacteristic
137C4⋊C4×Dic43C2211yescharacteristic
138C4⋊C4×Dic43C2211yescharacteristic
139C4⋊C4×Dic43C2211yescharacteristic
140C4⋊C4×Dic43C2211yescharacteristic
141C4⋊C4×Dic43C2211yescharacteristic
142C4⋊C4×Dic43C2211yescharacteristic
143C4⋊C4×Dic43C2211yescharacteristic
144C4⋊C4×Dic43C2211yescharacteristic
145C4⋊C4×Dic43C2211yescharacteristic
146C4⋊C4×Dic43C2211yescharacteristic
147C4⋊C4×Dic43C2211yescharacteristic
148C4⋊C4×Dic43C2211yescharacteristic
149C4⋊C4×Dic43C2211yescharacteristic
150C4⋊C4×Dic43C2211yescharacteristic
151#14582750C2211yescharacteristic
152#14582750C2211yescharacteristic
153#14582750C2211yescharacteristic
154#14582750C2211yescharacteristic
155#14582750C2211yescharacteristic
156#14582750C2211yescharacteristic
157#14582750C2211yescharacteristic
158#14582750C2211yescharacteristic
159#14582750C2211yescharacteristic
160#14582750C2211yescharacteristic
161#14582750C2211yescharacteristic
162#14582750C2211yescharacteristic
163#14582750C2211yescharacteristic
164#14582750C2211yescharacteristic
165#14582750C2211yescharacteristic
166#14582750C2211yescharacteristic
167#14582744C2211yescharacteristic
168#14582744C2211yescharacteristic
169#14582744C2211yescharacteristic
170#14582744C2211yescharacteristic
171C42×Dic43C2211yescharacteristic
172C43×#400C2211yescharacteristic
173C43×#400C2211yescharacteristic
174C43×#400C2211yescharacteristic
175C43×#400C2211yescharacteristic
176C43×#400C2211yescharacteristic
177C43×#400C2211yescharacteristic
178C43×#400C2211yescharacteristic
179C43×#398C2211yescharacteristic
180C43×#398C2211yescharacteristic
181C43×#398C2211yescharacteristic
182C43×#398C2211yescharacteristic
183C43×#398C2211yescharacteristic
184C43×#389C2211yescharacteristic
185C43×#387C2211yescharacteristic
186C43×#387C2211yescharacteristic
187#13063316—24no—
188#13063315—24no—
189#13063315—24no—
190C2×C4⋊Dic43C2311yescharacteristic
191C2×C4⋊Dic43C2311yescharacteristic
192C2×C4⋊Dic43C2311yescharacteristic
193C2×C4⋊Dic43C2311yescharacteristic
194C2×C4⋊Dic43C2311yescharacteristic
195C2×C4⋊Dic43C2311yescharacteristic
196C2×C4⋊Dic43C2311yescharacteristic
197C2×C4⋊Dic43C2311yescharacteristic
198C2×C4⋊Dic43C2311yescharacteristic
199C2×C4⋊Dic43C2311yescharacteristic
200C2×C4⋊Dic43C2311yescharacteristic
201C2×C4⋊Dic43C2311yescharacteristic
202C2×C4⋊Dic43C2311yescharacteristic
203C2×C4⋊Dic43C2311yescharacteristic
204C2×Dic43⋊C4C2311yescharacteristic
205C2×Dic43⋊C4C2311yescharacteristic
206C2×Dic43⋊C4C2311yescharacteristic
207C2×Dic43⋊C4C2311yescharacteristic
208C2×Dic43⋊C4C2311yescharacteristic
209C2×Dic43⋊C4C2311yescharacteristic
210C2×Dic43⋊C4C2311yescharacteristic
211C2×Dic43⋊C4C2311yescharacteristic
212C2×Dic43⋊C4C2311yescharacteristic
213C2×Dic43⋊C4C2311yescharacteristic
214C2×Dic43⋊C4C2311yescharacteristic
215C2×Dic43⋊C4C2311yescharacteristic
216C2×Dic43⋊C4C2311yescharacteristic
217C2×Dic43⋊C4C2311yescharacteristic
218C2×Dic43⋊C4C2311yescharacteristic
219C2×Dic43⋊C4C2311yescharacteristic
220C2×Dic43⋊C4C2311yescharacteristic
221C2×Dic43⋊C4C2311yescharacteristic
222C2×Dic43⋊C4C2311yescharacteristic
223C2×Dic43⋊C4C2311yescharacteristic
224C2×Dic43⋊C4C2311yescharacteristic
225C2×Dic43⋊C4C2311yescharacteristic
226C2×Dic43⋊C4C2311yescharacteristic
227C2×Dic43⋊C4C2311yescharacteristic
228C2×Dic43⋊C4C2311yescharacteristic
229C2×Dic43⋊C4C2311yescharacteristic
230C2×Dic43⋊C4C2311yescharacteristic
231C2×Dic43⋊C4C2311yescharacteristic
232C2×Dic43⋊C4C2311yescharacteristic
233C2×Dic43⋊C4C2311yescharacteristic
234C2×Dic43⋊C4C2311yescharacteristic
235C2×Dic43⋊C4C2311yescharacteristic
236C2×C4×Dic43C2311yescharacteristic
237C2×C4×Dic43C2311yescharacteristic
238C2×C4×Dic43C2311yescharacteristic
239C2×C4×Dic43C2311yescharacteristic
240C2×C4×Dic43C2311yescharacteristic
241C2×C4×Dic43C2311yescharacteristic
242C2×C4×Dic43C2311yescharacteristic
243C2×C4×Dic43C2311yescharacteristic
244C2×C4×Dic43C2311yescharacteristic
245C2×C4×Dic43C2311yescharacteristic
246C2×C4×Dic43C2311yescharacteristic
247C2×C4×Dic43C2311yescharacteristic
248C2×C4×Dic43C2311yescharacteristic
249C2×C4×Dic43C2311yescharacteristic
250C2×C4×Dic43C2311yescharacteristic
251C2×C4×Dic43C2311yescharacteristic
252C2×C4×Dic43C2311yescharacteristic
253C2×C4×Dic43C2311yescharacteristic
254C43⋊#95C2311yescharacteristic
255C43⋊#95C2311yescharacteristic
256C43⋊#95C2311yescharacteristic
257C43⋊#95C2311yescharacteristic
258C43⋊#95C2311yescharacteristic
259C43⋊#95C2311yescharacteristic
260C43⋊#95C2311yescharacteristic
261C43⋊#95C2311yescharacteristic
262C43⋊#95C2311yescharacteristic
263C43⋊#95C2311yescharacteristic
264C43⋊#95C2311yescharacteristic
265C43⋊#95C2311yescharacteristic
266C43⋊#95C2311yescharacteristic
267C43⋊#95C2311yescharacteristic
268C43⋊#95C2311yescharacteristic
269C43⋊#95C2311yescharacteristic
270C43⋊#95C2311yescharacteristic
271C43⋊#95C2311yescharacteristic
272C43⋊#95C2311yescharacteristic
273C43⋊#95C2311yescharacteristic
274C43⋊#95C2311yescharacteristic
275C43⋊#95C2311yescharacteristic
276C43⋊#95C2311yescharacteristic
277C43⋊#95C2311yescharacteristic
278C43⋊#95C2311yescharacteristic
279C43⋊#95C2311yescharacteristic
280C43⋊#95C2311yescharacteristic
281C43⋊#95C2311yescharacteristic
282C43⋊#95C2311yescharacteristic
283C43⋊#95C2311yescharacteristic
284C43⋊#95C2311yescharacteristic
285C43⋊#95C2311yescharacteristic
286C43⋊#95C2311yescharacteristic
287C43⋊#95C2311yescharacteristic
288C43⋊#95C2311yescharacteristic
289C43⋊#95C2311yescharacteristic
290C43⋊#95C2311yescharacteristic
291C43⋊#95C2311yescharacteristic
292C43⋊#95C2311yescharacteristic
293C43⋊#95C2311yescharacteristic
294C43⋊#95C2311yescharacteristic
295C43⋊#95C2311yescharacteristic
296C43⋊#95C2311yescharacteristic
297C43⋊#95C2311yescharacteristic
298C43⋊#95C2311yescharacteristic
299C43⋊#95C2311yescharacteristic
300C43⋊#95C2311yescharacteristic
301C43⋊#95C2311yescharacteristic
302C43⋊#95C2311yescharacteristic
303C43⋊#95C2311yescharacteristic
304C43⋊#95C2311yescharacteristic
305C43⋊#95C2311yescharacteristic
306C43⋊#95C2311yescharacteristic
307C43⋊#95C2311yescharacteristic
308C43⋊#95C2311yescharacteristic
309C43⋊#95C2311yescharacteristic
310C2×C4⋊C4×C43C2311yescharacteristic
311C2×C4⋊C4×C43C2311yescharacteristic
312C2×C4⋊C4×C43C2311yescharacteristic
313C2×C4⋊C4×C43C2311yescharacteristic
314C2×C4⋊C4×C43C2311yescharacteristic
315C2×C4⋊C4×C43C2311yescharacteristic
316C2×C4⋊C4×C43C2311yescharacteristic
317C2×C4⋊C4×C43C2311yescharacteristic
318C2×C4⋊C4×C43C2311yescharacteristic
319C2×C4⋊C4×C43C2311yescharacteristic
320C2×C4⋊C4×C43C2311yescharacteristic
321C2×C4⋊C4×C43C2311yescharacteristic
322C2×C4⋊C4×C43C2311yescharacteristic
323C2×C4⋊C4×C43C2311yescharacteristic
324C2×C42×C43C2311yescharacteristic
325#95×C43C2311yescharacteristic
326#95×C43C2311yescharacteristic
327#95×C43C2311yescharacteristic
328#95×C43C2311yescharacteristic
329#95×C43C2311yescharacteristic
330#95×C43C2311yescharacteristic
331#95×C43C2311yescharacteristic
332#95×C43C2311yescharacteristic
333#95×C43C2311yescharacteristic
334#95×C43C2311yescharacteristic
335#95×C43C2311yescharacteristic
336#95×C43C2311yescharacteristic
337#95×C43C2311yescharacteristic
338#95×C43C2311yescharacteristic
339#95×C43C2311yescharacteristic
340#95×C43C2311yescharacteristic
341#95×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345C22×C4×C43C2411yescharacteristic
346C22×C4×C43C2411yescharacteristic
347C22×C4×C43C2411yescharacteristic
348C22×C4×C43C2411yescharacteristic
349C22×C4×C43C2411yescharacteristic
350C22×C4×C43C2411yescharacteristic
351C22×C4×C43C2411yescharacteristic
352C22×C4×C43C2411yescharacteristic
353C22×C4×C43C2411yescharacteristic
354C22×C4×C43C2411yescharacteristic
355C22×C4×C43C2411yescharacteristic
356C22×C4×C43C2411yescharacteristic
357C22×C4×C43C2411yescharacteristic
358C22×C4×C43C2411yescharacteristic
359C22×C4×C43C2411yescharacteristic
360C22×Dic43C2411yescharacteristic
361C22×Dic43C2411yescharacteristic
362C22×Dic43C2411yescharacteristic
363C22×Dic43C2411yescharacteristic
364C22×Dic43C2411yescharacteristic
365C22×Dic43C2411yescharacteristic
366C22×Dic43C2411yescharacteristic
367C22×Dic43C2411yescharacteristic
368C22×Dic43C2411yescharacteristic
369C22×Dic43C2411yescharacteristic
370C22×Dic43C2411yescharacteristic
371C22×Dic43C2411yescharacteristic
372C22×Dic43C2411yescharacteristic
373C22×Dic43C2411yescharacteristic
374C22×Dic43C2411yescharacteristic
375C22×Dic43C2411yescharacteristic
376C4⋊C4×C43—22no—
377C4⋊C4×C43—22no—
378C4⋊C4×C43—22no—
379C4⋊C4×C43—41no—
380C4⋊C4×C43—41no—
381C4⋊C4×C43—41no—
382C4⋊C4×C43—41no—
383C4⋊C4×C43—41no—
384C4⋊C4×C43—41no—
385C4⋊C4×C43—41no—
386C4⋊C4×C43—41no—
387C4⋊C4×C43—41no—
388C4⋊C4×C43—41no—
389C4⋊C4×C43—41no—
390C42×C43—41no—
391C4⋊Dic43—22no—
392C4⋊Dic43—22no—
393C4⋊Dic43—22no—
394C4⋊Dic43—22no—
395C4⋊Dic43—22no—
396C4⋊Dic43—41no—
397C4⋊Dic43—41no—
398C4⋊Dic43—41no—
399C4⋊Dic43—41no—
400C4⋊Dic43—41no—
401C4⋊Dic43—41no—
402C4⋊Dic43—41no—
403C4⋊Dic43—41no—
404C4⋊Dic43—41no—
405Dic43⋊C4—22no—
406Dic43⋊C4—22no—
407Dic43⋊C4—22no—
408Dic43⋊C4—22no—
409Dic43⋊C4—22no—
410Dic43⋊C4—22no—
411Dic43⋊C4—22no—
412Dic43⋊C4—22no—
413Dic43⋊C4—22no—
414Dic43⋊C4—22no—
415Dic43⋊C4—41no—
416Dic43⋊C4—41no—
417Dic43⋊C4—41no—
418Dic43⋊C4—41no—
419Dic43⋊C4—41no—
420Dic43⋊C4—41no—
421Dic43⋊C4—41no—
422Dic43⋊C4—41no—
423Dic43⋊C4—41no—
424Dic43⋊C4—41no—
425Dic43⋊C4—41no—
426Dic43⋊C4—41no—
427Dic43⋊C4—41no—
428Dic43⋊C4—41no—
429Dic43⋊C4—41no—
430Dic43⋊C4—41no—
431Dic43⋊C4—41no—
432Dic43⋊C4—41no—
433Dic43⋊C4—41no—
434Dic43⋊C4—41no—
435Dic43⋊C4—41no—
436Dic43⋊C4—41no—
437C4×Dic43—22no—
438C4×Dic43—22no—
439C4×Dic43—22no—
440C4×Dic43—22no—
441C4×Dic43—22no—
442C4×Dic43—22no—
443C4×Dic43—22no—
444C4×Dic43—22no—
445C4×Dic43—22no—
446C4×Dic43—22no—
447C4×Dic43—22no—
448C4×Dic43—22no—
449C4×Dic43—22no—
450C4×Dic43—22no—
451C4×Dic43—22no—
452C4×Dic43—41no—
453C4×Dic43—41no—
454C4×Dic43#4114yes—
455C23×C43C2511yescharacteristic
456C2×C4×C43—21no—
457C2×C4×C43—21no—
458C2×C4×C43—21no—
459C2×C4×C43—21no—
460C2×C4×C43—21no—
461C2×C4×C43—21no—
462C2×C4×C43—21no—
463C2×C4×C43—21no—
464C2×C4×C43—21no—
465C2×C4×C43—21no—
466C2×C4×C43—21no—
467C2×C4×C43—21no—
468C2×C4×C43—21no—
469C2×C4×C43—21no—
470C2×C4×C43—21no—
471C2×C4×C43—21no—
472C2×C4×C43—21no—
473C2×C4×C43—21no—
474C2×C4×C43—21no—
475C2×C4×C43—21no—
476C2×C4×C43—21no—
477C2×C4×C43—21no—
478C2×C4×C43—21no—
479C2×C4×C43—21no—
480C2×C4×C43—21no—
481C2×C4×C43—21no—
482C2×C4×C43—21no—
483C2×C4×C43—21no—
484C2×C4×C43—21no—
485C2×C4×C43—21no—
486C2×C4×C43—21no—
487C2×C4×C43—21no—
488C2×C4×C43—21no—
489C2×C4×C43—21no—
490C2×C4×C43—21no—
491C2×C4×C43—21no—
492C2×C4×C43—21no—
493C2×C4×C43—21no—
494C2×C4×C43—21no—
495C2×C4×C43—21no—
496C2×C4×C43—21no—
497C2×C4×C43—21no—
498C2×C4×C43—21no—
499C2×C4×C43—21no—
500C2×C4×C43C2×#4112yes—
501C2×Dic43—21no—
502C2×Dic43—21no—
503C2×Dic43—21no—
504C2×Dic43—21no—
505C2×Dic43—21no—
506C2×Dic43—21no—
507C2×Dic43—21no—
508C2×Dic43—21no—
509C2×Dic43—21no—
510C2×Dic43—21no—
511C2×Dic43—21no—
512C2×Dic43—21no—
513C2×Dic43—21no—
514C2×Dic43—21no—
515C2×Dic43—21no—
516C2×Dic43—21no—
517C2×Dic43—21no—
518C2×Dic43—21no—
519C2×Dic43—21no—
520C2×Dic43—21no—
521C2×Dic43—21no—
522C2×Dic43—21no—
523C2×Dic43—21no—
524C2×Dic43—21no—
525C2×Dic43—21no—
526C2×Dic43—21no—
527C2×Dic43—21no—
528C2×Dic43—21no—
529C2×Dic43—21no—
530C2×Dic43—21no—
531C2×Dic43—21no—
532C2×Dic43—21no—
533C2×Dic43—21no—
534C2×Dic43—21no—
535C2×Dic43—21no—
536C2×Dic43—21no—
537C2×Dic43—21no—
538C2×Dic43—21no—
539C2×Dic43—21no—
540C2×Dic43—21no—
541C2×Dic43—21no—
542C2×Dic43—21no—
543C2×Dic43—21no—
544C2×Dic43C2×#4112yes—
545C2×Dic43C2×#4112yes—
546C2×Dic432−1+412yes—
547C2×Dic432−1+412yes—
548C2×Dic432−1+412yes—
549#36701—431nomaximal, Sylow
550C22×C43C22×#4111yescharacteristic
551C22×C43C2×2−1+411yescharacteristic
552C22×C43C2×2−1+411yescharacteristic
553C22×C43C2×2−1+411yescharacteristic
554C22×C43#58511yescharacteristic
555C22×C43#58511yescharacteristic
556C22×C43#58511yescharacteristic
557C4×C43—22no—
558C4×C43—41no—
559C4×C43—41no—
560C4×C43—41no—
561C4×C43—41no—
562C4×C43—41no—
563C4×C43—41no—
564C4×C43—41no—
565C4×C43—41no—
566C4×C43—41no—
567C4×C43—41no—
568C4×C43—41no—
569C4×C43—41no—
570C4×C43—41no—
571C4×C43—41no—
572Dic43—22no—
573Dic43—22no—
574Dic43—41no—
575Dic43—41no—
576Dic43—41no—
577Dic43—41no—
578Dic43—41no—
579Dic43—41no—
580Dic43—41no—
581Dic43—41no—
582Dic43—41no—
583Dic43—41no—
584Dic43—41no—
585Dic43—41no—
586Dic43—41no—
587Dic43#56414yes—
588#2845—431no—
589#2839—431no—
590#2839—431no—
591#2839—431no—
592#2839—431no—
593#2839—431no—
594#2839—431no—
595#2839—431no—
596#2839—431no—
597#2839—431no—
598#2839—431no—
599#2839—431no—
600#2839D4311yescharacteristic
601#2822—431no—
602#2822—431no—
603#2822—431no—
604#2402—431no—
605#2402—431no—
606#2402—431no—
607#2402—431no—
608#2402—431no—
609#2402—431no—
610#2402—431no—
611#2402—431no—
612#2402—431no—
613#2402—431no—
614#2402—431no—
615#2402—431no—
616C4×#125—431no—
617C4×#125—431no—
618C4×#125—431no—
619C2×C43#346111yescharacteristic
620C2×C43#346111yescharacteristic
621C2×C43#346111yescharacteristic
622C2×C43C2×#56411yescharacteristic
623C2×C43#353111yescharacteristic
624C2×C43#353111yescharacteristic
625C2×C43#353111yescharacteristic
626C2×#125—431no—
627C2×#125—431no—
628C2×#125—431no—
629#400—431no—
630#400—431no—
631#400—431no—
632#400—431no—
633#400—431no—
634#400—431no—
635#400—431no—
636#400—431no—
637#400—431no—
638#400—431no—
639#400—431no—
640#400—431no—
641#400—431no—
642#400—431no—
643#400—431no—
644#400—431no—
645#400—431no—
646#400—431no—
647#400—431no—
648#400—431no—
649#400—431no—
650#400—431no—
651#400—431no—
652#400—431no—
653#400—431no—
654#400—431no—
655#400—431no—
656#400—431no—
657#400—431no—
658#400—431no—
659#400—431no—
660#400—431no—
661#400—431no—
662#400—431no—
663#400—431no—
664#400—431no—
665#400—431no—
666#400—431no—
667#400—431no—
668#400—431no—
669#400—431no—
670#400C2×D4311yescharacteristic
671#400C2×D4311yescharacteristic
672#400C2×D4311yescharacteristic
673#400C2×D4311yescharacteristic
674#400C2×D4311yescharacteristic
675#400C2×D4311yescharacteristic
676#400C2×D4311yescharacteristic
677#398—431no—
678#398—431no—
679#398—431no—
680#398—431no—
681#398—431no—
682#398—431no—
683#398—431no—
684#398—431no—
685#398—431no—
686#398—431no—
687#398—431no—
688#398—431no—
689#398—431no—
690#398—431no—
691#398—431no—
692#398—431no—
693#398—431no—
694#398—431no—
695#398—431no—
696#398—431no—
697#398—431no—
698#398—431no—
699#398—431no—
700#398—431no—
701#398—431no—
702#398—431no—
703#398—431no—
704#398—431no—
705#398—431no—
706#398—431no—
707#398—431no—
708#398—431no—
709#398—431no—
710#398—431no—
711#398—431no—
712#398—431no—
713#398—431no—
714#398—431no—
715#398—431no—
716#398—431no—
717#398—431no—
718#398—431no—
719#398—431no—
720#398C2×D4311yescharacteristic
721#398C2×D4311yescharacteristic
722#398C2×D4311yescharacteristic
723#398C2×D4311yescharacteristic
724#398C2×D4311yescharacteristic
725#389—431no—
726#389—431no—
727#389—431no—
728#389—431no—
729#389—431no—
730#389C2×D4311yescharacteristic
731#387—431no—
732#387—431no—
733#387—431no—
734#387—431no—
735#387—431no—
736#387—431no—
737#387—431no—
738#387—431no—
739#387—431no—
740#387—431no—
741#387C2×D4311yescharacteristic
742#387C2×D4311yescharacteristic
743#382—431no—
744#382—431no—
745#382—431no—
746C4×C4⋊C4—431no—
747C4×C4⋊C4—431no—
748C4×C4⋊C4—431no—
749C4×C4⋊C4—431no—
750C4×C4⋊C4—431no—
751C4×C4⋊C4—431no—
752C4×C4⋊C4—431no—
753C4×C4⋊C4—431no—
754C4×C4⋊C4—431no—
755C4×C4⋊C4—431no—
756C4×C4⋊C4—431no—
757C4×C4⋊C4—431no—
758C4×C4⋊C4—431no—
759C4×C4⋊C4—431no—
760C4×C4⋊C4—431no—
761C4×C4⋊C4—431no—
762C4×C4⋊C4—431no—
763C4×C4⋊C4—431no—
764C4×C4⋊C4—431no—
765C4×C4⋊C4—431no—
766C4×C4⋊C4—431no—
767C4×C4⋊C4—431no—
768C4×C4⋊C4—431no—
769C4×C4⋊C4—431no—
770C4×C4⋊C4—431no—
771C4×C4⋊C4—431no—
772C4×C4⋊C4—431no—
773C4×C4⋊C4—431no—
774C4×C4⋊C4—431no—
775C4×C4⋊C4—431no—
776#376—431no—
777#376—431no—
778#376—431no—
779#376—431no—
780C43—431no—
781C43#3670111yescharacteristic, complemented, Sylow
782#125—864no—
783#125—864no—
784#125—864no—
785C2×C4⋊C4—431no—
786C2×C4⋊C4—431no—
787C2×C4⋊C4—431no—
788C2×C4⋊C4—431no—
789C2×C4⋊C4—431no—
790C2×C4⋊C4—431no—
791C2×C4⋊C4—431no—
792C2×C4⋊C4—431no—
793C2×C4⋊C4—431no—
794C2×C4⋊C4—431no—
795C2×C4⋊C4—431no—
796C2×C4⋊C4—431no—
797C2×C4⋊C4—431no—
798C2×C4⋊C4—431no—
799C2×C4⋊C4—431no—
800C2×C4⋊C4—431no—
801C2×C4⋊C4—431no—
802C2×C4⋊C4—431no—
803C2×C4⋊C4—431no—
804C2×C4⋊C4—431no—
805C2×C4⋊C4—431no—
806C2×C4⋊C4—431no—
807C2×C4⋊C4—431no—
808C2×C4⋊C4—431no—
809C2×C4⋊C4—431no—
810C2×C4⋊C4—431no—
811C2×C4⋊C4—431no—
812C2×C4⋊C4—431no—
813C2×C4⋊C4—431no—
814C2×C4⋊C4—431no—
815C2×C4⋊C4—431no—
816C2×C4⋊C4—431no—
817C2×C4⋊C4—431no—
818C2×C4⋊C4—431no—
819C2×C4⋊C4—431no—
820C2×C4⋊C4—431no—
821C2×C4⋊C4—431no—
822C2×C4⋊C4—431no—
823C2×C4⋊C4—431no—
824C2×C4⋊C4—431no—
825C2×C4⋊C4—431no—
826C2×C4⋊C4—431no—
827C2×C4⋊C4—431no—
828C2×C4⋊C4—431no—
829C2×C4⋊C4—431no—
830C2×C4⋊C4—431no—
831C2×C4⋊C4C22×D4311yescharacteristic
832C2×C4⋊C4C22×D4311yescharacteristic
833C2×C4⋊C4C22×D4311yescharacteristic
834C2×C4⋊C4C22×D4311yescharacteristic
835C2×C4⋊C4C22×D4311yescharacteristic
836C2×C4⋊C4C22×D4311yescharacteristic
837C2×C4⋊C4C22×D4311yescharacteristic
838C2×C4⋊C4C22×D4311yescharacteristic
839C2×C4⋊C4C22×D4311yescharacteristic
840C2×C4⋊C4C22×D4311yescharacteristic
841C2×C4⋊C4C22×D4311yescharacteristic
842C2×C4⋊C4C22×D4311yescharacteristic
843C2×C4⋊C4C22×D4311yescharacteristic
844C2×C4⋊C4C22×D4311yescharacteristic
845C2×C42—431no—
846C2×C42—431no—
847C2×C42—431no—
848C2×C42—431no—
849C2×C42—431no—
850C2×C42—431no—
851C2×C42—431no—
852C2×C42—431no—
853C2×C42—431no—
854C2×C42—431no—
855C2×C42—431no—
856C2×C42—431no—
857C2×C42—431no—
858C2×C42—431no—
859C2×C42—431no—
860C2×C42—431no—
861C2×C42—431no—
862C2×C42—431no—
863C2×C42C22×D4311yescharacteristic
864#95—431no—
865#95—431no—
866#95—431no—
867#95—431no—
868#95—431no—
869#95—431no—
870#95—431no—
871#95—431no—
872#95—431no—
873#95—431no—
874#95—431no—
875#95—431no—
876#95—431no—
877#95—431no—
878#95—431no—
879#95—431no—
880#95—431no—
881#95—431no—
882#95—431no—
883#95—431no—
884#95—431no—
885#95—431no—
886#95—431no—
887#95—431no—
888#95—431no—
889#95—431no—
890#95—431no—
891#95—431no—
892#95—431no—
893#95—431no—
894#95—431no—
895#95—431no—
896#95—431no—
897#95—431no—
898#95—431no—
899#95—431no—
900#95—431no—
901#95—431no—
902#95—431no—
903#95—431no—
904#95—431no—
905#95—431no—
906#95—431no—
907#95—431no—
908#95—431no—
909#95—431no—
910#95—431no—
911#95—431no—
912#95—431no—
913#95—431no—
914#95—431no—
915#95—431no—
916#95—431no—
917#95—431no—
918#95—431no—
919#95—431no—
920#95C22×D4311yescharacteristic
921#95C22×D4311yescharacteristic
922#95C22×D4311yescharacteristic
923#95C22×D4311yescharacteristic
924#95C22×D4311yescharacteristic
925#95C22×D4311yescharacteristic
926#95C22×D4311yescharacteristic
927#95C22×D4311yescharacteristic
928#95C22×D4311yescharacteristic
929#95C22×D4311yescharacteristic
930#95C22×D4311yescharacteristic
931#95C22×D4311yescharacteristic
932#95C22×D4311yescharacteristic
933#95C22×D4311yescharacteristic
934#95C22×D4311yescharacteristic
935#95C22×D4311yescharacteristic
936#95C22×D4311yescharacteristic
937#95C22×D4311yescharacteristic
938#95C22×D4311yescharacteristic
939#95C22×D4311yescharacteristic
940C22×C4—431no—
941C22×C4—431no—
942C22×C4—431no—
943C22×C4—431no—
944C22×C4—431no—
945C22×C4—431no—
946C22×C4—431no—
947C22×C4—431no—
948C22×C4—431no—
949C22×C4—431no—
950C22×C4—431no—
951C22×C4—431no—
952C22×C4—431no—
953C22×C4—431no—
954C22×C4—431no—
955C22×C4—431no—
956C22×C4C23×D4311yescharacteristic
957C22×C4C23×D4311yescharacteristic
958C22×C4C23×D4311yescharacteristic
959C22×C4C23×D4311yescharacteristic
960C22×C4C23×D4311yescharacteristic
961C22×C4C23×D4311yescharacteristic
962C22×C4C23×D4311yescharacteristic
963C22×C4C23×D4311yescharacteristic
964C22×C4C23×D4311yescharacteristic
965C22×C4C23×D4311yescharacteristic
966C22×C4C23×D4311yescharacteristic
967C22×C4C23×D4311yescharacteristic
968C22×C4C23×D4311yescharacteristic
969C22×C4C23×D4311yescharacteristic
970C22×C4C23×D4311yescharacteristic
971C4⋊C4—22no—
972C4⋊C4—22no—
973C4⋊C4—22no—
974C4⋊C4—41no—
975C4⋊C4—41no—
976C4⋊C4—41no—
977C4⋊C4—41no—
978C4⋊C4—41no—
979C4⋊C4—41no—
980C4⋊C4—41no—
981C4⋊C4—41no—
982C4⋊C4—41no—
983C4⋊C4—41no—
984C4⋊C4—41no—
985C4⋊C4—862no—
986C4⋊C4—862no—
987C4⋊C4—862no—
988C4⋊C4—862no—
989C4⋊C4—862no—
990C4⋊C4—862no—
991C4⋊C4—862no—
992C4⋊C4—862no—
993C4⋊C4—862no—
994C4⋊C4—862no—
995C4⋊C4—862no—
996C4⋊C4—862no—
997C4⋊C4—862no—
998C4⋊C4—862no—
999C4⋊C4—862no—
1000C4⋊C4—1721no—
1001C4⋊C4—1721no—
1002C4⋊C4—1721no—
1003C4⋊C4—1721no—
1004C4⋊C4—1721no—
1005C4⋊C4—1721no—
1006C4⋊C4—1721no—
1007C4⋊C4—1721no—
1008C4⋊C4—1721no—
1009C4⋊C4—1721no—
1010C4⋊C4—1721no—
1011C4⋊C4—1721no—
1012C4⋊C4—1721no—
1013C4⋊C4—1721no—
1014C4⋊C4—1721no—
1015C4⋊C4—1721no—
1016C4⋊C4—1721no—
1017C4⋊C4—1721no—
1018C4⋊C4—1721no—
1019C4⋊C4—1721no—
1020C4⋊C4—1721no—
1021C4⋊C4—1721no—
1022C4⋊C4—1721no—
1023C4⋊C4—1721no—
1024C4⋊C4—1721no—
1025C4⋊C4—1721no—
1026C4⋊C4—1721no—
1027C4⋊C4—1721no—
1028C4⋊C4—1721no—
1029C4⋊C4—1721no—
1030C4⋊C4—1721no—
1031C42—41no—
1032C42—434no—
1033C42—862no—
1034C42—862no—
1035C42—862no—
1036C42—862no—
1037C42—862no—
1038C42—862no—
1039C42—862no—
1040C42—862no—
1041C42—862no—
1042C42—862no—
1043C42—862no—
1044C42—862no—
1045C42—862no—
1046C42—862no—
1047C42—862no—
1048C42—1721no—
1049C42—1721no—
1050C23C24×D4311yescharacteristic
1051C2×C4—21no—
1052C2×C4—21no—
1053C2×C4—21no—
1054C2×C4—21no—
1055C2×C4—21no—
1056C2×C4—21no—
1057C2×C4—21no—
1058C2×C4—21no—
1059C2×C4—21no—
1060C2×C4—21no—
1061C2×C4—21no—
1062C2×C4—21no—
1063C2×C4—21no—
1064C2×C4—21no—
1065C2×C4—21no—
1066C2×C4—21no—
1067C2×C4—21no—
1068C2×C4—21no—
1069C2×C4—21no—
1070C2×C4—21no—
1071C2×C4—21no—
1072C2×C4—21no—
1073C2×C4—21no—
1074C2×C4—21no—
1075C2×C4—21no—
1076C2×C4—21no—
1077C2×C4—21no—
1078C2×C4—21no—
1079C2×C4—21no—
1080C2×C4—21no—
1081C2×C4—21no—
1082C2×C4—21no—
1083C2×C4—21no—
1084C2×C4—21no—
1085C2×C4—21no—
1086C2×C4—21no—
1087C2×C4—21no—
1088C2×C4—21no—
1089C2×C4—21no—
1090C2×C4—21no—
1091C2×C4—21no—
1092C2×C4—21no—
1093C2×C4—21no—
1094C2×C4—21no—
1095C2×C4—432no—
1096C2×C4—432no—
1097C2×C4—432no—
1098C2×C4—432no—
1099C2×C4—432no—
1100C2×C4—861no—
1101C2×C4—861no—
1102C2×C4—861no—
1103C2×C4—861no—
1104C2×C4—861no—
1105C2×C4—861no—
1106C2×C4—861no—
1107C2×C4—861no—
1108C2×C4—861no—
1109C2×C4—861no—
1110C2×C4—861no—
1111C2×C4—861no—
1112C2×C4—861no—
1113C2×C4—861no—
1114C2×C4—861no—
1115C2×C4—861no—
1116C2×C4—861no—
1117C2×C4—861no—
1118C2×C4—861no—
1119C2×C4—861no—
1120C2×C4—861no—
1121C2×C4—861no—
1122C2×C4—861no—
1123C2×C4—861no—
1124C2×C4—861no—
1125C2×C4—861no—
1126C2×C4—861no—
1127C2×C4—861no—
1128C2×C4—861no—
1129C2×C4—861no—
1130C2×C4—861no—
1131C2×C4—861no—
1132C2×C4—861no—
1133C2×C4—861no—
1134C2×C4—861no—
1135C2×C4—861no—
1136C2×C4—861no—
1137C2×C4—861no—
1138C2×C4—861no—
1139C2×C4—861no—
1140C2×C4—861no—
1141C2×C4—861no—
1142C2×C4—861no—
1143C2×C4#41×D4312yes—
1144C22C2×#41×D4311yescharacteristic
1145C222−1+4×D4311yescharacteristic
1146C222−1+4×D4311yescharacteristic
1147C222−1+4×D4311yescharacteristic
1148C22#1458373411yescharacteristic
1149C22#1458373411yescharacteristic
1150C22#1458373611yescharacteristic
1151C4—22no—
1152C4—41no—
1153C4—41no—
1154C4—41no—
1155C4—41no—
1156C4—41no—
1157C4—41no—
1158C4—41no—
1159C4—41no—
1160C4—41no—
1161C4—41no—
1162C4—41no—
1163C4—41no—
1164C4—41no—
1165C4—41no—
1166C4—434no—
1167C4—862no—
1168C4—862no—
1169C4—1721no—
1170C4—1721no—
1171C4—1721no—
1172C4—1721no—
1173C4—1721no—
1174C4—1721no—
1175C4—1721no—
1176C4—1721no—
1177C4—1721no—
1178C4—1721no—
1179C4—1721no—
1180C4—1721no—
1181C4—1721no—
1182C2#1914802111yescharacteristic
1183C2#1914802511yescharacteristic
1184C2#1914802711yescharacteristic
1185C2#564×D4311yescharacteristic
1186C2#1914873911yescharacteristic
1187C2#1914874111yescharacteristic
1188C2#1914874111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, prime radical, cosocleC23×C43C25
FittingC43×#2839C2
hypercenter#2839D43
hypocenterC43#36701
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2839

Complements

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

NH ≅ G/Ntype
781. C43#36701semidirect

Maximal subgroups

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

subgroupindex
#191428692
#191428462
#191428442
#191428422
#191428402
#191428382
#191428372
#191428362
#191428352
#191428342
#191428332
#191428322
#191426652
#191426642
#191426612
#191379012
#191378992
#191371542
#191371522
C43×#28392
#3670143