Finite Group Databasebeta

← #13082797

Subgroups — #13082797

Order 1408.

1166 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#560C211yesmaximal, characteristic, complemented
2#10623250C211yesmaximal, characteristic, complemented
3#10623248C211yesmaximal, characteristic, complemented
4#10623240C211yesmaximal, characteristic, complemented
5#10623238C211yesmaximal, characteristic, complemented
6#10623238C211yesmaximal, characteristic, complemented
7#10623236C211yesmaximal, characteristic, complemented
8#10623198C211yesmaximal, characteristic, complemented
9#10623191C211yesmaximal, characteristic, complemented
10#10623189C211yesmaximal, characteristic, complemented
11#10623188C211yesmaximal, characteristic, complemented
12#10623185C211yesmaximal, characteristic, complemented
13D11×#123C211yesmaximal, characteristic, complemented
14#10623152C211yesmaximal, characteristic, complemented
15#10623151C211yesmaximal, characteristic, complemented
16#10623150C211yesmaximal, characteristic, complemented
17#10623148C211yesmaximal, characteristic, complemented
18#10623145C211yesmaximal, characteristic, complemented
19#10623143C211yesmaximal, characteristic, complemented
20#10623141C211yesmaximal, characteristic, complemented
21#10623141C211yesmaximal, characteristic, complemented
22#10623139C211yesmaximal, characteristic, complemented
23#10623137C211yesmaximal, characteristic, complemented
24#10623136C211yesmaximal, characteristic, complemented
25D11×#121C211yesmaximal, characteristic, complemented
26#10623124C211yesmaximal, characteristic, complemented
27#10623122C211yesmaximal, characteristic, complemented
28#10623122C211yesmaximal, characteristic, complemented
29#10623121C211yesmaximal, characteristic, complemented
30#10623120C211yesmaximal, characteristic, complemented
31#10623120C211yesmaximal, characteristic, complemented
32C22×C22⋊D11C2211yescharacteristic, complemented
33C22×C22⋊D11C2211yescharacteristic, complemented
34C2×#4341C2211yescharacteristic, complemented
35C2×#4341C2211yescharacteristic, complemented
36C2×D4×D11C2211yescharacteristic
37C2×D4×D11C2211yescharacteristic, complemented
38C2×D4×D11C2211yescharacteristic, complemented
39C2×D4×D11C2211yescharacteristic, complemented
40C2×D4×D11C2211yescharacteristic, complemented
41C2×D4×D11C2211yescharacteristic, complemented
42C2×#4339C2211yescharacteristic, complemented
43C22×C4×D11C2211yescharacteristic, complemented
44C11×#127C2211yescharacteristic, complemented
45C11×#126C2211yescharacteristic, complemented
46C11×#126C2211yescharacteristic, complemented
47C11×#123C2211yescharacteristic, complemented
48C11×#123C2211yescharacteristic, complemented
49C11×#123C2211yescharacteristic, complemented
50C11×#121C2211yescharacteristic, complemented
51C11×#121C2211yescharacteristic, complemented
52C11×#121C2211yescharacteristic, complemented
53C11×#121C2211yescharacteristic, complemented
54C11×#121C2211yescharacteristic, complemented
55C11×#121C2211yescharacteristic, complemented
56C11×#120C2211yescharacteristic, complemented
57C11×#120C2211yescharacteristic, complemented
58C11×#120C2211yescharacteristic, complemented
59#67006C2211yescharacteristic, complemented
60C2×C22⋊Dic11C2211yescharacteristic, complemented
61#66993C2211yescharacteristic, complemented
62#66992C2211yescharacteristic, complemented
63#66992C2211yescharacteristic, complemented
64#66992C2211yescharacteristic, complemented
65#66992C2211yescharacteristic, complemented
66#66992C2211yescharacteristic, complemented
67#66992C2211yescharacteristic, complemented
68#66992C2211yescharacteristic, complemented
69#66992C2211yescharacteristic, complemented
70#66992C2211yescharacteristic, complemented
71#66992C2211yescharacteristic, complemented
72#66991C2211yescharacteristic
73#66991C2211yescharacteristic, complemented
74#66991C2211yescharacteristic, complemented
75#66991C2211yescharacteristic, complemented
76#66991C2211yescharacteristic, complemented
77#66991C2211yescharacteristic, complemented
78#66991C2211yescharacteristic, complemented
79#66991C2211yescharacteristic, complemented
80#66991C2211yescharacteristic, complemented
81#66991C2211yescharacteristic, complemented
82#66990C2211yescharacteristic
83#66990C2211yescharacteristic, complemented
84#66990C2211yescharacteristic, complemented
85#66990C2211yescharacteristic, complemented
86#66990C2211yescharacteristic, complemented
87#66990C2211yescharacteristic, complemented
88#66990C2211yescharacteristic, complemented
89#66990C2211yescharacteristic, complemented
90#66990C2211yescharacteristic, complemented
91#66989C2211yescharacteristic, complemented
92#66988C2211yescharacteristic, complemented
93#66988C2211yescharacteristic, complemented
94#66988C2211yescharacteristic, complemented
95#66988C2211yescharacteristic, complemented
96#66988C2211yescharacteristic, complemented
97D4×Dic11C2211yescharacteristic, complemented
98D4×Dic11C2211yescharacteristic, complemented
99D4×Dic11C2211yescharacteristic, complemented
100D4×Dic11C2211yescharacteristic, complemented
101#66983C2211yescharacteristic, complemented
102#66983C2211yescharacteristic, complemented
103#66982C2211yescharacteristic, complemented
104C4×C22⋊D11C2211yescharacteristic, complemented
105C4×C22⋊D11C2211yescharacteristic, complemented
106C2×(C2×D11)⋊C4C2211yescharacteristic, complemented
107C2×(C2×D11)⋊C4C2211yescharacteristic, complemented
108#66979C2211yescharacteristic, complemented
109#66977C2211yescharacteristic, complemented
110#66977C2211yescharacteristic, complemented
111#66951C2211yescharacteristic, complemented
112#66951C2211yescharacteristic, complemented
113#66951C2211yescharacteristic, complemented
114#66950C2211yescharacteristic, complemented
115#66950C2211yescharacteristic, complemented
116#66950C2211yescharacteristic, complemented
117#66949C2211yescharacteristic, complemented
118#66949C2211yescharacteristic, complemented
119#66949C2211yescharacteristic, complemented
120#66948C2211yescharacteristic, complemented
121#66947C2211yescharacteristic, complemented
122#66947C2211yescharacteristic, complemented
123#66947C2211yescharacteristic, complemented
124#66947C2211yescharacteristic, complemented
125#66947C2211yescharacteristic, complemented
126#66946C2211yescharacteristic, complemented
127#66946C2211yescharacteristic, complemented
128#66945C2211yescharacteristic, complemented
129C4⋊C4×D11C2211yescharacteristic, complemented
130C4⋊C4×D11C2211yescharacteristic, complemented
131C4⋊C4×D11C2211yescharacteristic, complemented
132#66943C2211yescharacteristic, complemented
133#66943C2211yescharacteristic, complemented
134#66942C2211yescharacteristic, complemented
135#66939C2211yescharacteristic, complemented
136#66939C2211yescharacteristic, complemented
137#66939C2211yescharacteristic, complemented
138#66939C2211yescharacteristic, complemented
139#66939C2211yescharacteristic, complemented
140#66938C2211yescharacteristic, complemented
141#66938C2211yescharacteristic, complemented
142#66938C2211yescharacteristic, complemented
143#66938C2211yescharacteristic, complemented
144#66938C2211yescharacteristic, complemented
145#66937C2211yescharacteristic
146#66937C2211yescharacteristic
147#66937C2211yescharacteristic, complemented
148#66937C2211yescharacteristic, complemented
149#66937C2211yescharacteristic, complemented
150#66937C2211yescharacteristic, complemented
151#66937C2211yescharacteristic, complemented
152#66936C2211yescharacteristic, complemented
153#66936C2211yescharacteristic, complemented
154#66936C2211yescharacteristic, complemented
155#66936C2211yescharacteristic, complemented
156#66936C2211yescharacteristic, complemented
157#66936C2211yescharacteristic, complemented
158#66936C2211yescharacteristic, complemented
159#66936C2211yescharacteristic, complemented
160#66936C2211yescharacteristic, complemented
161#66935C2211yescharacteristic
162#66935C2211yescharacteristic, complemented
163#66935C2211yescharacteristic, complemented
164(C22⋊D11)⋊C4C2211yescharacteristic, complemented
165(C22⋊D11)⋊C4C2211yescharacteristic, complemented
166(C22⋊D11)⋊C4C2211yescharacteristic, complemented
167(C22⋊D11)⋊C4C2211yescharacteristic, complemented
168(C22⋊D11)⋊C4C2211yescharacteristic, complemented
169(C22⋊D11)⋊C4C2211yescharacteristic, complemented
170C22⋊C4×D11C2211yescharacteristic, complemented
171C22⋊C4×D11C2211yescharacteristic, complemented
172C22⋊C4×D11C2211yescharacteristic, complemented
173C22⋊C4×D11C2211yescharacteristic, complemented
174C22⋊C4×D11C2211yescharacteristic, complemented
175C22⋊C4×D11C2211yescharacteristic, complemented
176#66932C2211yescharacteristic, complemented
177#66932C2211yescharacteristic, complemented
178#66932C2211yescharacteristic, complemented
179#66931C2211yescharacteristic, complemented
180#66931C2211yescharacteristic, complemented
181#66931C2211yescharacteristic, complemented
182#66931C2211yescharacteristic, complemented
183C4×D44C2211yescharacteristic, complemented
184C4×D44C2211yescharacteristic, complemented
185#66925C2211yescharacteristic, complemented
186#66923C2211yescharacteristic, complemented
187C24×C11C2311yescharacteristic
188C23×D11C2311yescharacteristic
189C23×D11C2311yescharacteristic
190C23×D11C2311yescharacteristic
191C23×D11C2311yescharacteristic
192C23×D11C2311yescharacteristic
193C2×D4×C11C2311yescharacteristic
194C2×D4×C11C2311yescharacteristic
195C2×D4×C11C2311yescharacteristic
196C2×D4×C11C2311yescharacteristic
197C2×D4×C11C2311yescharacteristic
198C2×D4×C11C2311yescharacteristic
199C2×D4×C11C2311yescharacteristic
200C2×D4×C11C2311yescharacteristic
201C2×D4×C11C2311yescharacteristic
202C2×D4×C11C2311yescharacteristic
203C2×D4×C11C2311yescharacteristic
204C2×D4×C11C2311yescharacteristic
205C22×C4×C11C2311yescharacteristic
206C22×C4×C11C2311yescharacteristic
207C22×C4×C11C2311yescharacteristic
208C2×C22⋊D11—42no—
209C2×C22⋊D11—42no—
210C2×C22⋊D11C2311yescharacteristic
211C2×C22⋊D11C2311yescharacteristic
212C2×C22⋊D11C2311yescharacteristic
213C2×C22⋊D11C2311yescharacteristic
214C2×C22⋊D11C2311yescharacteristic
215C2×C22⋊D11C2311yescharacteristic
216C2×C22⋊D11C2311yescharacteristic
217C2×C22⋊D11C2311yescharacteristic
218C2×C22⋊D11C2311yescharacteristic
219C2×C22⋊D11C2311yescharacteristic
220C2×C22⋊D11C2311yescharacteristic
221C2×C22⋊D11C2311yescharacteristic
222C2×C22⋊D11C2311yescharacteristic
223C2×C22⋊D11C2311yescharacteristic
224C2×C22⋊D11C2311yescharacteristic
225C2×C22⋊D11C2311yescharacteristic
226C2×C22⋊D11C2311yescharacteristic
227C2×C22⋊D11C2311yescharacteristic
228C2×C22⋊D11C2311yescharacteristic
229C2×C22⋊D11C2311yescharacteristic
230C22×Dic11C2311yescharacteristic
231C22×Dic11C2311yescharacteristic
232C22×Dic11C2311yescharacteristic
233C22×Dic11C2311yescharacteristic
234C22×Dic11C2311yescharacteristic
235C22×Dic11C2311yescharacteristic
236C22×Dic11C2311yescharacteristic
237#4341—42no—
238#4341—42no—
239D4×D11—42no—
240D4×D11—42no—
241D4×D11—42no—
242D4×D11—42no—
243D4×D11—42no—
244D4×D11—42no—
245#4339—42no—
246C2×D44C2311yescharacteristic
247C2×D44C2311yescharacteristic
248C2×D44C2311yescharacteristic
249C2×D44C2311yescharacteristic
250C2×D44C2311yescharacteristic
251C2×C4×D11—42no—
252C2×C4×D11C2311yescharacteristic
253C2×C4×D11C2311yescharacteristic
254C2×C4×D11C2311yescharacteristic
255C2×C4×D11C2311yescharacteristic
256C2×C4×D11C2311yescharacteristic
257C2×C4×D11C2311yescharacteristic
258C2×C4×D11C2311yescharacteristic
259C2×C4×D11C2311yescharacteristic
260C2×C4×D11C2311yescharacteristic
261C2×C4×D11C2311yescharacteristic
262C2×C4×D11C2311yescharacteristic
263C2×C4×D11C2311yescharacteristic
264C2×C4×D11C2311yescharacteristic
265C2×Dic22C2311yescharacteristic
266C2×Dic22C2311yescharacteristic
267C2×Dic22C2311yescharacteristic
268C11×C4⋊C4C2311yescharacteristic
269C11×C4⋊C4C2311yescharacteristic
270C11×C4⋊C4C2311yescharacteristic
271C11×C4⋊C4C2311yescharacteristic
272C11×C4⋊C4C2311yescharacteristic
273C11×C4⋊C4C2311yescharacteristic
274C11×C22⋊C4C2311yescharacteristic
275C11×C22⋊C4C2311yescharacteristic
276C11×C22⋊C4C2311yescharacteristic
277C11×C22⋊C4C2311yescharacteristic
278C11×C22⋊C4C2311yescharacteristic
279C11×C22⋊C4C2311yescharacteristic
280C11×C22⋊C4C2311yescharacteristic
281C11×C22⋊C4C2311yescharacteristic
282C11×C22⋊C4C2311yescharacteristic
283C11×C22⋊C4C2311yescharacteristic
284C11×C22⋊C4C2311yescharacteristic
285C11×C22⋊C4C2311yescharacteristic
286C42×C11C2311yescharacteristic
287C22⋊Dic11C2311yescharacteristic
288C22⋊Dic11C2311yescharacteristic
289C22⋊Dic11C2311yescharacteristic
290C22⋊Dic11C2311yescharacteristic
291C22⋊Dic11C2311yescharacteristic
292C22⋊Dic11C2311yescharacteristic
293C22⋊Dic11C2311yescharacteristic
294C22⋊Dic11C2311yescharacteristic
295C22⋊Dic11C2311yescharacteristic
296C22⋊Dic11C2311yescharacteristic
297C22⋊Dic11C2311yescharacteristic
298C22⋊Dic11C2311yescharacteristic
299C22⋊Dic11C2311yescharacteristic
300C22⋊Dic11C2311yescharacteristic
301C22⋊Dic11C2311yescharacteristic
302C22⋊Dic11C2311yescharacteristic
303(C2×D11)⋊C4C2311yescharacteristic
304(C2×D11)⋊C4C2311yescharacteristic
305(C2×D11)⋊C4C2311yescharacteristic
306(C2×D11)⋊C4C2311yescharacteristic
307(C2×D11)⋊C4C2311yescharacteristic
308(C2×D11)⋊C4C2311yescharacteristic
309(C2×D11)⋊C4C2311yescharacteristic
310(C2×D11)⋊C4C2311yescharacteristic
311(C2×D11)⋊C4C2311yescharacteristic
312(C2×D11)⋊C4C2311yescharacteristic
313(C2×D11)⋊C4C2311yescharacteristic
314(C2×D11)⋊C4C2311yescharacteristic
315(C2×D11)⋊C4C2311yescharacteristic
316(C2×D11)⋊C4C2311yescharacteristic
317(C2×D11)⋊C4C2311yescharacteristic
318(C2×D11)⋊C4C2311yescharacteristic
319(C2×D11)⋊C4C2311yescharacteristic
320(C2×D11)⋊C4C2311yescharacteristic
321(C2×D11)⋊C4C2311yescharacteristic
322(C2×D11)⋊C4C2311yescharacteristic
323(C2×D11)⋊C4C2311yescharacteristic
324(C2×D11)⋊C4C2311yescharacteristic
325C4⋊Dic11C2311yescharacteristic
326C4⋊Dic11C2311yescharacteristic
327C4⋊Dic11C2311yescharacteristic
328C4⋊Dic11C2311yescharacteristic
329C4⋊Dic11C2311yescharacteristic
330C4⋊Dic11C2311yescharacteristic
331C4⋊Dic11C2311yescharacteristic
332C4⋊Dic11C2311yescharacteristic
333C4⋊Dic11C2311yescharacteristic
334C4⋊Dic11C2311yescharacteristic
335Dic11⋊C4C2311yescharacteristic
336Dic11⋊C4C2311yescharacteristic
337Dic11⋊C4C2311yescharacteristic
338Dic11⋊C4C2311yescharacteristic
339Dic11⋊C4C2311yescharacteristic
340Dic11⋊C4C2311yescharacteristic
341Dic11⋊C4C2311yescharacteristic
342Dic11⋊C4C2311yescharacteristic
343Dic11⋊C4C2311yescharacteristic
344Dic11⋊C4C2311yescharacteristic
345Dic11⋊C4C2311yescharacteristic
346Dic11⋊C4C2311yescharacteristic
347Dic11⋊C4C2311yescharacteristic
348Dic11⋊C4C2311yescharacteristic
349C4×Dic11C2311yescharacteristic
350C4×Dic11C2311yescharacteristic
351C4×Dic11C2311yescharacteristic
352C4×Dic11C2311yescharacteristic
353C4×Dic11C2311yescharacteristic
354#3534—111nomaximal, Sylow
355C23×C11—41no—
356C23×C11—41no—
357C23×C11—41no—
358C23×C11C2411yescharacteristic
359C23×C11C2411yescharacteristic
360C23×C11C2411yescharacteristic
361C23×C11C2411yescharacteristic
362C23×C11C2411yescharacteristic
363C23×C11C2411yescharacteristic
364C22×D11—22no—
365C22×D11—22no—
366C22×D11—22no—
367C22×D11—22no—
368C22×D11—22no—
369C22×D11—41no—
370C22×D11—41no—
371C22×D11—41no—
372C22×D11—41no—
373C22×D11—41no—
374C22×D11—41no—
375C22×D11—41no—
376C22×D11—41no—
377C22×D11—41no—
378C22×D11—41no—
379C22×D11C2411yescharacteristic
380C22×D11C2411yescharacteristic
381C22×D11C2411yescharacteristic
382C22×D11C2411yescharacteristic
383C22×D11C2411yescharacteristic
384D4×C11—41no—
385D4×C11—41no—
386D4×C11—41no—
387D4×C11—41no—
388D4×C11—41no—
389D4×C11—41no—
390D4×C11—41no—
391D4×C11—41no—
392D4×C11—41no—
393D4×C11—41no—
394D4×C11—41no—
395D4×C11—41no—
396C2×C4×C11—41no—
397C2×C4×C11—41no—
398C2×C4×C11—41no—
399C2×C4×C11C2411yescharacteristic
400C2×C4×C11C2411yescharacteristic
401C2×C4×C11C2411yescharacteristic
402C2×C4×C11C2411yescharacteristic
403C2×C4×C11C2411yescharacteristic
404C2×C4×C11C2411yescharacteristic
405C2×C4×C11C2411yescharacteristic
406C2×C4×C11C2411yescharacteristic
407C2×C4×C11C2411yescharacteristic
408C22⋊D11—22no—
409C22⋊D11—22no—
410C22⋊D11—22no—
411C22⋊D11—22no—
412C22⋊D11—22no—
413C22⋊D11—22no—
414C22⋊D11—22no—
415C22⋊D11—41no—
416C22⋊D11—41no—
417C22⋊D11—41no—
418C22⋊D11—41no—
419C22⋊D11—41no—
420C22⋊D11—41no—
421C22⋊D11—41no—
422C22⋊D11—41no—
423C22⋊D11—41no—
424C22⋊D11—41no—
425C22⋊D11—41no—
426C22⋊D11—41no—
427C22⋊D11—41no—
428C2×Dic11—41no—
429C2×Dic11—41no—
430C2×Dic11—41no—
431C2×Dic11—41no—
432C2×Dic11—41no—
433C2×Dic11—41no—
434C2×Dic11—41no—
435C2×Dic11C2411yescharacteristic
436C2×Dic11C2411yescharacteristic
437C2×Dic11C2411yescharacteristic
438C2×Dic11C2411yescharacteristic
439C2×Dic11C2411yescharacteristic
440C2×Dic11C2411yescharacteristic
441C2×Dic11C2411yescharacteristic
442C2×Dic11C2411yescharacteristic
443C2×Dic11C2411yescharacteristic
444C2×Dic11C2411yescharacteristic
445C2×Dic11C2411yescharacteristic
446D44—22no—
447D44—22no—
448D44—22no—
449D44—41no—
450D44—41no—
451C4×D11—22no—
452C4×D11—22no—
453C4×D11—22no—
454C4×D11—41no—
455C4×D11—41no—
456C4×D11—41no—
457C4×D11—41no—
458C4×D11—41no—
459C4×D11—41no—
460C4×D11—41no—
461C4×D11—41no—
462C4×D11—41no—
463C4×D11—41no—
464Dic22—41no—
465Dic22—41no—
466Dic22—41no—
467#562—111no—
468#562—111no—
469#560—111no—
470#560D1111yescharacteristic, complemented
471#553—111no—
472#553—111no—
473#551—111no—
474#551—111no—
475#546—111no—
476#546—111no—
477#546—111no—
478#546—111no—
479#546—111no—
480#546—111no—
481D42—111no—
482D42—111no—
483#540—111no—
484#540—111no—
485#539—111no—
486#539—111no—
487#539—111no—
488#538—111no—
489#538—111no—
490#538—111no—
491#537—111no—
492#534—111no—
493#534—111no—
494#534—111no—
495#525—111no—
496C2×#123—111no—
497C2×#121—111no—
498C22×C11—21no—
499C22×C11—21no—
500C22×C11—21no—
501C22×C11—21no—
502C22×C11—21no—
503C22×C11—21no—
504C22×C11—21no—
505C22×C11—21no—
506C22×C11—21no—
507C22×C11—21no—
508C22×C11—21no—
509C22×C11—21no—
510C22×C11—21no—
511C22×C11—21no—
512C22×C11—21no—
513C22×C11—21no—
514C22×C11—21no—
515C22×C11—21no—
516C22×C11—82no—
517C22×C11C2511yescharacteristic
518C2×D11—21no—
519C2×D11—21no—
520C2×D11—21no—
521C2×D11—21no—
522C2×D11—21no—
523C2×D11—21no—
524C2×D11—21no—
525C2×D11—21no—
526C2×D11—21no—
527C2×D11—21no—
528C2×D11—21no—
529C2×D11—21no—
530C2×D11—21no—
531C2×D11—44no—
532C2×D11—82no—
533C2×D11—82no—
534C2×D11—82no—
535C2×D11—82no—
536C2×D11H(5,𝔽2)12yes—
537C2×D11H(5,𝔽2)12yes—
538C4×C11—21no—
539C4×C11—21no—
540C4×C11—21no—
541C4×C11—21no—
542C4×C11—21no—
543C4×C11—21no—
544C4×C11—21no—
545C4×C11—21no—
546C4×C11—21no—
547Dic11—21no—
548Dic11—21no—
549Dic11—21no—
550Dic11—21no—
551Dic11—21no—
552Dic11—21no—
553Dic11—21no—
554Dic11—21no—
555Dic11—21no—
556Dic11—21no—
557Dic11—21no—
558C2×#41—111no—
559C2×#41—111no—
560C2×#41—111no—
561C22×D4—111no—
562C22×D4—111no—
563C22×D4—111no—
564C22×D4—111no—
565C22×D4—111no—
566C22×D4—111no—
567C22×D4—111no—
568C22×D4—111no—
569C23×C4—111no—
570#127—111no—
571#127C2×D1111yescharacteristic, complemented
572#126—111no—
573#126—111no—
574#126—111no—
575#126—111no—
576#126—111no—
577#126—111no—
578#126C2×D1111yescharacteristic, complemented
579#126C2×D1111yescharacteristic, complemented
580#125—111no—
581#125—111no—
582#125—111no—
583#125—111no—
584#124—111no—
585#124—111no—
586#124—111no—
587#124—111no—
588#124—111no—
589#124—111no—
590#123—111no—
591#123—111no—
592#123—111no—
593#123—111no—
594#123—111no—
595#123—111no—
596#123—111no—
597#123—111no—
598#123—111no—
599#123—111no—
600#123—111no—
601#123—111no—
602#123—111no—
603#123—111no—
604#123—111no—
605#123—111no—
606#123—111no—
607#123—111no—
608#123—111no—
609#123—111no—
610#123—111no—
611#123—111no—
612#123—111no—
613#123—111no—
614#123—111no—
615#123C2×D1111yescharacteristic, complemented
616#123C2×D1111yescharacteristic, complemented
617#123C2×D1111yescharacteristic, complemented
618C22⋊Q8—111no—
619C22⋊Q8—111no—
620C22⋊Q8—111no—
621C22⋊Q8—111no—
622C22⋊Q8—111no—
623C22⋊Q8—111no—
624C22⋊Q8—111no—
625C22⋊Q8—111no—
626C22⋊Q8—111no—
627C22⋊Q8—111no—
628C22⋊Q8—111no—
629C22⋊Q8—111no—
630#121—111no—
631#121—111no—
632#121—111no—
633#121—111no—
634#121—111no—
635#121—111no—
636#121—111no—
637#121—111no—
638#121—111no—
639#121—111no—
640#121—111no—
641#121—111no—
642#121—111no—
643#121—111no—
644#121—111no—
645#121—111no—
646#121—111no—
647#121—111no—
648#121—111no—
649#121—111no—
650#121—111no—
651#121—111no—
652#121—111no—
653#121—111no—
654#121—111no—
655#121—111no—
656#121—111no—
657#121—111no—
658#121—111no—
659#121—111no—
660#121C2×D1111yescharacteristic, complemented
661#121C2×D1111yescharacteristic, complemented
662#121C2×D1111yescharacteristic, complemented
663#121C2×D1111yescharacteristic, complemented
664#121C2×D1111yescharacteristic, complemented
665#121C2×D1111yescharacteristic, complemented
666#120—111no—
667#120—111no—
668#120—111no—
669#120—111no—
670#120—111no—
671#120—111no—
672#120—111no—
673#120—111no—
674#120—111no—
675#120—111no—
676#120—111no—
677#120—111no—
678#120—111no—
679#120C2×D1111yescharacteristic, complemented
680#120C2×D1111yescharacteristic, complemented
681#120C2×D1111yescharacteristic, complemented
682C4×D4—111no—
683C4×D4—111no—
684C4×D4—111no—
685C4×D4—111no—
686C4×D4—111no—
687C4×D4—111no—
688C4×D4—111no—
689C4×D4—111no—
690C4×D4—111no—
691C4×D4—111no—
692C4×D4—111no—
693C4×D4—111no—
694C4×D4—111no—
695C4×D4—111no—
696C4×D4—111no—
697C4×D4—111no—
698#117—111no—
699#117—111no—
700#117—111no—
701C2×C4⋊C4—111no—
702C2×C4⋊C4—111no—
703C2×C4⋊C4—111no—
704C2×C22⋊C4—111no—
705C2×C22⋊C4—111no—
706C2×C22⋊C4—111no—
707C2×C22⋊C4—111no—
708C2×C22⋊C4—111no—
709C2×C22⋊C4—111no—
710C2×C22⋊C4—111no—
711C2×C22⋊C4—111no—
712C2×C22⋊C4—111no—
713C2×C11—41no—
714C2×C11—41no—
715C2×C11—41no—
716C2×C11—41no—
717C2×C11—41no—
718C2×C11—41no—
719C2×C11C2×H(5,𝔽2)11yescharacteristic
720C2×C11C2×H(5,𝔽2)11yescharacteristic
721C2×C11#58511yescharacteristic
722D11—22no—
723D11—22no—
724D11—41no—
725D11—41no—
726D11—41no—
727C24—111no—
728C24—111no—
729C24—111no—
730C24—111no—
731C24—111no—
732C24C22×D1111yescharacteristic
733#41—442no—
734#41—442no—
735#41—442no—
736C2×Q8—111no—
737C2×Q8—111no—
738C2×Q8—111no—
739C2×D4—111no—
740C2×D4—111no—
741C2×D4—111no—
742C2×D4—111no—
743C2×D4—111no—
744C2×D4—111no—
745C2×D4—111no—
746C2×D4—111no—
747C2×D4—111no—
748C2×D4—111no—
749C2×D4—111no—
750C2×D4—111no—
751C2×D4—111no—
752C2×D4—111no—
753C2×D4—111no—
754C2×D4—111no—
755C2×D4—111no—
756C2×D4—111no—
757C2×D4—111no—
758C2×D4—111no—
759C2×D4—111no—
760C2×D4—111no—
761C2×D4—111no—
762C2×D4—111no—
763C2×D4—111no—
764C2×D4—442no—
765C2×D4—442no—
766C2×D4—442no—
767C2×D4—442no—
768C2×D4—442no—
769C2×D4—442no—
770C2×D4—442no—
771C2×D4—442no—
772C2×D4C22×D1111yescharacteristic
773C2×D4C22×D1111yescharacteristic
774C2×D4C22×D1111yescharacteristic
775C2×D4C22×D1111yescharacteristic
776C2×D4C22×D1111yescharacteristic
777C2×D4C22×D1111yescharacteristic
778C2×D4C22×D1111yescharacteristic
779C2×D4C22×D1111yescharacteristic
780C2×D4C22×D1111yescharacteristic
781C2×D4C22×D1111yescharacteristic
782C2×D4C22×D1111yescharacteristic
783C2×D4C22×D1111yescharacteristic
784C22×C4—111no—
785C22×C4—111no—
786C22×C4—111no—
787C22×C4—111no—
788C22×C4—111no—
789C22×C4—111no—
790C22×C4—111no—
791C22×C4—111no—
792C22×C4—111no—
793C22×C4—111no—
794C22×C4—111no—
795C22×C4—111no—
796C22×C4—111no—
797C22×C4—111no—
798C22×C4—111no—
799C22×C4—111no—
800C22×C4—111no—
801C22×C4—111no—
802C22×C4—111no—
803C22×C4—111no—
804C22×C4—442no—
805C22×C4C22×D1111yescharacteristic
806C22×C4C22×D1111yescharacteristic
807C22×C4C22×D1111yescharacteristic
808C4⋊C4—111no—
809C4⋊C4—111no—
810C4⋊C4—111no—
811C4⋊C4—111no—
812C4⋊C4—111no—
813C4⋊C4—111no—
814C4⋊C4—111no—
815C4⋊C4—111no—
816C4⋊C4—111no—
817C4⋊C4—111no—
818C4⋊C4—111no—
819C4⋊C4—111no—
820C4⋊C4—111no—
821C4⋊C4—111no—
822C4⋊C4—111no—
823C4⋊C4—111no—
824C4⋊C4—111no—
825C4⋊C4—111no—
826C4⋊C4—111no—
827C4⋊C4—111no—
828C4⋊C4—111no—
829C4⋊C4—111no—
830C4⋊C4—111no—
831C4⋊C4—111no—
832C4⋊C4C22×D1111yescharacteristic
833C4⋊C4C22×D1111yescharacteristic
834C4⋊C4C22×D1111yescharacteristic
835C4⋊C4C22×D1111yescharacteristic
836C4⋊C4C22×D1111yescharacteristic
837C4⋊C4C22×D1111yescharacteristic
838C22⋊C4—111no—
839C22⋊C4—111no—
840C22⋊C4—111no—
841C22⋊C4—111no—
842C22⋊C4—111no—
843C22⋊C4—111no—
844C22⋊C4—111no—
845C22⋊C4—111no—
846C22⋊C4—111no—
847C22⋊C4—111no—
848C22⋊C4—111no—
849C22⋊C4—111no—
850C22⋊C4—111no—
851C22⋊C4—111no—
852C22⋊C4—111no—
853C22⋊C4—111no—
854C22⋊C4—111no—
855C22⋊C4—111no—
856C22⋊C4—111no—
857C22⋊C4—111no—
858C22⋊C4—111no—
859C22⋊C4—111no—
860C22⋊C4—111no—
861C22⋊C4—111no—
862C22⋊C4—111no—
863C22⋊C4—111no—
864C22⋊C4—111no—
865C22⋊C4—111no—
866C22⋊C4—111no—
867C22⋊C4—111no—
868C22⋊C4—111no—
869C22⋊C4—111no—
870C22⋊C4—111no—
871C22⋊C4—111no—
872C22⋊C4—111no—
873C22⋊C4—111no—
874C22⋊C4—111no—
875C22⋊C4—111no—
876C22⋊C4C22×D1111yescharacteristic
877C22⋊C4C22×D1111yescharacteristic
878C22⋊C4C22×D1111yescharacteristic
879C22⋊C4C22×D1111yescharacteristic
880C22⋊C4C22×D1111yescharacteristic
881C22⋊C4C22×D1111yescharacteristic
882C22⋊C4C22×D1111yescharacteristic
883C22⋊C4C22×D1111yescharacteristic
884C22⋊C4C22×D1111yescharacteristic
885C22⋊C4C22×D1111yescharacteristic
886C22⋊C4C22×D1111yescharacteristic
887C22⋊C4C22×D1111yescharacteristic
888C42—111no—
889C42—111no—
890C42—111no—
891C42—111no—
892C42—111no—
893C42C22×D1111yescharacteristic
894C11#353411yescharacteristic, complemented, Sylow
895C23—41no—
896C23—41no—
897C23—41no—
898C23—111no—
899C23—111no—
900C23—111no—
901C23—111no—
902C23—111no—
903C23—222no—
904C23—222no—
905C23—222no—
906C23—222no—
907C23—222no—
908C23—441no—
909C23—441no—
910C23—441no—
911C23—441no—
912C23—441no—
913C23—441no—
914C23—441no—
915C23—441no—
916C23—441no—
917C23—441no—
918C23C23×D1111yescharacteristic
919C23C23×D1111yescharacteristic
920C23C23×D1111yescharacteristic
921C23C23×D1111yescharacteristic
922C23C23×D1111yescharacteristic
923C23C23×D1111yescharacteristic
924Q8—441no—
925Q8—441no—
926Q8—441no—
927D4—41no—
928D4—41no—
929D4—41no—
930D4—41no—
931D4—41no—
932D4—41no—
933D4—41no—
934D4—41no—
935D4—41no—
936D4—41no—
937D4—41no—
938D4—41no—
939D4—222no—
940D4—222no—
941D4—222no—
942D4—222no—
943D4—222no—
944D4—222no—
945D4—222no—
946D4—222no—
947D4—222no—
948D4—222no—
949D4—441no—
950D4—441no—
951D4—441no—
952D4—441no—
953D4—441no—
954D4—441no—
955D4—441no—
956D4—441no—
957D4—441no—
958D4—441no—
959D4—441no—
960D4—441no—
961D4—441no—
962D4—441no—
963D4—441no—
964C2×C4—41no—
965C2×C4—41no—
966C2×C4—41no—
967C2×C4—111no—
968C2×C4—111no—
969C2×C4—111no—
970C2×C4—111no—
971C2×C4—111no—
972C2×C4—111no—
973C2×C4—111no—
974C2×C4—111no—
975C2×C4—111no—
976C2×C4—111no—
977C2×C4—111no—
978C2×C4—222no—
979C2×C4—222no—
980C2×C4—222no—
981C2×C4—441no—
982C2×C4—441no—
983C2×C4—441no—
984C2×C4—441no—
985C2×C4—441no—
986C2×C4—441no—
987C2×C4—441no—
988C2×C4—441no—
989C2×C4—441no—
990C2×C4—441no—
991C2×C4—441no—
992C2×C4—441no—
993C2×C4—441no—
994C2×C4—441no—
995C2×C4—441no—
996C2×C4—441no—
997C2×C4—441no—
998C2×C4C23×D1111yescharacteristic
999C2×C4C23×D1111yescharacteristic
1000C2×C4C23×D1111yescharacteristic
1001C2×C4C23×D1111yescharacteristic
1002C2×C4C23×D1111yescharacteristic
1003C2×C4C23×D1111yescharacteristic
1004C2×C4C23×D1111yescharacteristic
1005C2×C4C23×D1111yescharacteristic
1006C2×C4C23×D1111yescharacteristic
1007C22—21no—
1008C22—21no—
1009C22—21no—
1010C22—21no—
1011C22—21no—
1012C22—21no—
1013C22—21no—
1014C22—21no—
1015C22—21no—
1016C22—21no—
1017C22—21no—
1018C22—21no—
1019C22—21no—
1020C22—21no—
1021C22—21no—
1022C22—21no—
1023C22—21no—
1024C22—21no—
1025C22—82no—
1026C22—112no—
1027C22—112no—
1028C22—221no—
1029C22—221no—
1030C22—221no—
1031C22—221no—
1032C22—221no—
1033C22—221no—
1034C22—221no—
1035C22—221no—
1036C22—221no—
1037C22—221no—
1038C22—221no—
1039C22—221no—
1040C22—221no—
1041C22—444no—
1042C22—882no—
1043C22—882no—
1044C22—882no—
1045C22—882no—
1046C22C24×D1111yescharacteristic
1047C4—21no—
1048C4—21no—
1049C4—21no—
1050C4—21no—
1051C4—21no—
1052C4—21no—
1053C4—21no—
1054C4—21no—
1055C4—21no—
1056C4—221no—
1057C4—221no—
1058C4—221no—
1059C4—221no—
1060C4—221no—
1061C4—221no—
1062C4—221no—
1063C4—221no—
1064C4—221no—
1065C4—221no—
1066C4—221no—
1067C2—41no—
1068C2—41no—
1069C2—41no—
1070C2—41no—
1071C2—41no—
1072C2—41no—
1073C2—222no—
1074C2—222no—
1075C2—441no—
1076C2—441no—
1077C2—441no—
1078C2D11×H(5,𝔽2)11yescharacteristic
1079C2D11×H(5,𝔽2)11yescharacteristic
1080C2#1062345511yescharacteristic
subgroupG/H
center, FrattiniC22C24×D11
commutator, socle, cosocleC22×C11C25
FittingC11×#560C2
hypercenter#560D11
hypocenterC11#3534
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #560

Complements

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

NH ≅ G/Ntype
1. C11×#560C2semidirect
2. #10623250C2semidirect
3. #10623248C2semidirect
4. #10623240C2semidirect
5. #10623238C2semidirect
6. #10623238C2semidirect
7. #10623236C2semidirect
8. #10623198C2semidirect
9. #10623191C2semidirect
10. #10623189C2semidirect
11. #10623188C2semidirect
12. #10623185C2semidirect
13. D11×#123C2semidirect
14. #10623152C2semidirect
15. #10623151C2semidirect
16. #10623150C2semidirect
17. #10623148C2semidirect
18. #10623145C2semidirect
19. #10623143C2semidirect
20. #10623141C2semidirect
21. #10623141C2semidirect
22. #10623139C2semidirect
23. #10623137C2semidirect
24. #10623136C2semidirect
25. D11×#121C2semidirect
26. #10623124C2semidirect
27. #10623122C2semidirect
28. #10623122C2semidirect
29. #10623121C2semidirect
30. #10623120C2semidirect
31. #10623120C2semidirect
32. C22×C22⋊D11C22semidirect
33. C22×C22⋊D11C22semidirect
34. C2×#4341C22semidirect
35. C2×#4341C22semidirect
37. C2×D4×D11C22semidirect
38. C2×D4×D11C22semidirect
39. C2×D4×D11C22semidirect
40. C2×D4×D11C22semidirect
41. C2×D4×D11C22semidirect
42. C2×#4339C22semidirect
43. C22×C4×D11C22semidirect
44. C11×#127C22semidirect
45. C11×#126C22semidirect
46. C11×#126C22semidirect
47. C11×#123C22semidirect
48. C11×#123C22semidirect
49. C11×#123C22semidirect
50. C11×#121C22semidirect
51. C11×#121C22semidirect
52. C11×#121C22semidirect
53. C11×#121C22semidirect
54. C11×#121C22semidirect
55. C11×#121C22semidirect
56. C11×#120C22semidirect
57. C11×#120C22semidirect
58. C11×#120C22semidirect
59. #67006C22semidirect
60. C2×C22⋊Dic11C22semidirect
61. #66993C22semidirect
62. #66992C22semidirect
63. #66992C22semidirect
64. #66992C22semidirect
65. #66992C22semidirect
66. #66992C22semidirect
67. #66992C22semidirect
68. #66992C22semidirect
69. #66992C22semidirect
70. #66992C22semidirect
71. #66992C22semidirect
73. #66991C22semidirect
74. #66991C22semidirect
75. #66991C22semidirect
76. #66991C22semidirect
77. #66991C22semidirect
78. #66991C22semidirect
79. #66991C22semidirect
80. #66991C22semidirect
81. #66991C22semidirect
83. #66990C22semidirect
84. #66990C22semidirect
85. #66990C22semidirect
86. #66990C22semidirect
87. #66990C22semidirect
88. #66990C22semidirect
89. #66990C22semidirect
90. #66990C22semidirect
91. #66989C22semidirect
92. #66988C22semidirect
93. #66988C22semidirect
94. #66988C22semidirect
95. #66988C22semidirect
96. #66988C22semidirect
97. D4×Dic11C22semidirect
98. D4×Dic11C22semidirect
99. D4×Dic11C22semidirect
100. D4×Dic11C22semidirect
101. #66983C22semidirect
102. #66983C22semidirect
103. #66982C22semidirect
104. C4×C22⋊D11C22semidirect
105. C4×C22⋊D11C22semidirect
106. C2×(C2×D11)⋊C4C22semidirect
107. C2×(C2×D11)⋊C4C22semidirect
108. #66979C22semidirect
109. #66977C22semidirect
110. #66977C22semidirect
111. #66951C22semidirect
112. #66951C22semidirect
113. #66951C22semidirect
114. #66950C22semidirect
115. #66950C22semidirect
116. #66950C22semidirect
117. #66949C22semidirect
118. #66949C22semidirect
119. #66949C22semidirect
120. #66948C22semidirect
121. #66947C22semidirect
122. #66947C22semidirect
123. #66947C22semidirect
124. #66947C22semidirect
125. #66947C22semidirect
126. #66946C22semidirect
127. #66946C22semidirect
128. #66945C22semidirect
129. C4⋊C4×D11C22semidirect
130. C4⋊C4×D11C22semidirect
131. C4⋊C4×D11C22semidirect
132. #66943C22semidirect
133. #66943C22semidirect
134. #66942C22semidirect
135. #66939C22semidirect
136. #66939C22semidirect
137. #66939C22semidirect
138. #66939C22semidirect
139. #66939C22semidirect
140. #66938C22semidirect
141. #66938C22semidirect
142. #66938C22semidirect
143. #66938C22semidirect
144. #66938C22semidirect
147. #66937C22semidirect
148. #66937C22semidirect
149. #66937C22semidirect
150. #66937C22semidirect
151. #66937C22semidirect
152. #66936C22semidirect
153. #66936C22semidirect
154. #66936C22semidirect
155. #66936C22semidirect
156. #66936C22semidirect
157. #66936C22semidirect
158. #66936C22semidirect
159. #66936C22semidirect
160. #66936C22semidirect
162. #66935C22semidirect
163. #66935C22semidirect
164. (C22⋊D11)⋊C4C22semidirect
165. (C22⋊D11)⋊C4C22semidirect
166. (C22⋊D11)⋊C4C22semidirect
167. (C22⋊D11)⋊C4C22semidirect
168. (C22⋊D11)⋊C4C22semidirect
169. (C22⋊D11)⋊C4C22semidirect
170. C22⋊C4×D11C22semidirect
171. C22⋊C4×D11C22semidirect
172. C22⋊C4×D11C22semidirect
173. C22⋊C4×D11C22semidirect
174. C22⋊C4×D11C22semidirect
175. C22⋊C4×D11C22semidirect
176. #66932C22semidirect
177. #66932C22semidirect
178. #66932C22semidirect
179. #66931C22semidirect
180. #66931C22semidirect
181. #66931C22semidirect
182. #66931C22semidirect
183. C4×D44C22semidirect
184. C4×D44C22semidirect
185. #66925C22semidirect
186. #66923C22semidirect
470. #560D11semidirect
571. #127C2×D11semidirect
578. #126C2×D11semidirect
579. #126C2×D11semidirect
615. #123C2×D11semidirect
616. #123C2×D11semidirect
617. #123C2×D11semidirect
660. #121C2×D11semidirect
661. #121C2×D11semidirect
662. #121C2×D11semidirect
663. #121C2×D11semidirect
664. #121C2×D11semidirect
665. #121C2×D11semidirect
679. #120C2×D11semidirect
680. #120C2×D11semidirect
681. #120C2×D11semidirect
894. C11#3534semidirect

Maximal subgroups

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

subgroupindex
C11×#5602
#106232502
#106232482
#106232402
#106232382
#106232362
#106231982
#106231912
#106231892
#106231882
#106231852
D11×#1232
#106231522
#106231512
#106231502
#106231482
#106231452
#106231432
#106231412
#106231392
#106231372
#106231362
D11×#1212
#106231242
#106231222
#106231212
#106231202
#353411