Finite Group Databasebeta

← #13082942

Subgroups — #13082942

Order 1408.

1260 conjugacy classes of subgroups.

The subgroup lattice has 740 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#535C211yesmaximal, characteristic, complemented
2#10623365C211yesmaximal, characteristic, complemented
3#10623360C211yesmaximal, characteristic, complemented
4D4×C22⋊D11C211yesmaximal, characteristic, complemented
5D4×C22⋊D11C211yesmaximal, characteristic, complemented
6#10623250C211yesmaximal, characteristic, complemented
7#10623249C211yesmaximal, characteristic, complemented
8#10623248C211yesmaximal, characteristic, complemented
9D11×#127C211yesmaximal, characteristic, complemented
10#10623212C211yesmaximal, characteristic, complemented
11#10623211C211yesmaximal, characteristic, complemented
12#10623207C211yesmaximal, characteristic, complemented
13#10623205C211yesmaximal, characteristic, complemented
14#10623151C212yesmaximal, complemented
15#10623146C212yesmaximal, complemented
16#10623141C212yesmaximal, complemented
17#10623136C212yesmaximal, complemented
18#10623126C212yesmaximal, complemented
19#10623123C212yesmaximal, complemented
20#10623121C212yesmaximal, complemented
21#10623120C212yesmaximal, complemented
22#10623066C211yesmaximal, characteristic, complemented
23#10623059C211yesmaximal, characteristic, complemented
24C2×C11×#41C2211yescharacteristic, complemented
25C22×D4×C11C2211yescharacteristic, complemented
26C22×C22⋊D11C2212yescomplemented
27C22×C22⋊D11C2212yescomplemented
28C2×#4343C2211yescharacteristic, complemented
29C2×#4341C2212yescomplemented
30C2×D4×D11C2211yescharacteristic, complemented
31C2×D4×D11C2211yescharacteristic, complemented
32C2×D4×D11C2212yescomplemented
33C2×D4×D11C2212yescomplemented
34C2×D4×D11C2211yescharacteristic, complemented
35C2×D4×D11C2212yescomplemented
36C11×#127C2211yescharacteristic, complemented
37C11×#127C2211yescharacteristic, complemented
38C11×#124C2211yescharacteristic, complemented
39C11×#124C2211yescharacteristic, complemented
40C11×#121C2212yescomplemented
41C11×#121C2212yescomplemented
42C11×#120C2212yescomplemented
43C11×#120C2212yescomplemented
44C11×#117C2211yescharacteristic, complemented
45#67006C2212yescomplemented
46#67006C2212yescomplemented
47#67000C2211yescharacteristic, complemented
48#66999C2211yescharacteristic, complemented
49Q8×Dic11C2211yescharacteristic, complemented
50#66993C2211yescharacteristic
51#66993C2211yescharacteristic, complemented
52#66993C2212yescomplemented
53#66993C2212yescomplemented
54#66993C2211yescharacteristic, complemented
55#66993C2212yescomplemented
56#66992C2212yescomplemented
57#66992C2212yescomplemented
58#66992C2212yescomplemented
59#66992C2212yescomplemented
60#66992C2212yescomplemented
61#66992C2212yescomplemented
62#66992C2212yescomplemented
63#66991C2211yescharacteristic
64#66991C2211yescharacteristic, complemented
65#66991C2212yescomplemented
66#66991C2212yescomplemented
67#66991C2211yescharacteristic, complemented
68#66991C2212yescomplemented
69#66990C2212yescomplemented
70#66990C2212yescomplemented
71#66990C2212yescomplemented
72#66990C2212yescomplemented
73#66990C2212yescomplemented
74#66988C2212yescomplemented
75#66988C2212yescomplemented
76D4×Dic11C2211yescharacteristic, complemented
77D4×Dic11C2211yescharacteristic, complemented
78D4×Dic11C2211yescharacteristic, complemented
79#66983C2211yescharacteristic, complemented
80#66983C2211yescharacteristic, complemented
81#66983C2212yescomplemented
82#66982C2212yescomplemented
83C4×C22⋊D11C2211yescharacteristic, complemented
84C4×C22⋊D11C2211yescharacteristic, complemented
85C4×C22⋊D11C2212yescomplemented
86C2×(C2×D11)⋊C4C2212yescomplemented
87#66951C2211yescharacteristic, complemented
88#66949C2211yescharacteristic, complemented
89#66947C2211yescharacteristic, complemented
90#66947C2212yescomplemented
91#66947C2212yescomplemented
92#66942C2211yescharacteristic, complemented
93#66939C2212yescomplemented
94#66938C2211yescharacteristic, complemented
95#66938C2212yescomplemented
96#66937C2211yescharacteristic
97#66937C2212yescomplemented
98#66937C2212yescomplemented
99#66937C2212yescomplemented
100#66937C2212yescomplemented
101#66937C2212yescomplemented
102#66936C2211yescharacteristic, complemented
103#66936C2212yescomplemented
104#66936C2212yescomplemented
105#66936C2212yescomplemented
106#66935C2212yescomplemented
107#66935C2212yescomplemented
108#66935C2212yescomplemented
109(C22⋊D11)⋊C4C2212yescomplemented
110(C22⋊D11)⋊C4C2212yescomplemented
111C22⋊C4×D11C2212yescomplemented
112#66932C2211yescharacteristic, complemented
113#66932C2212yescomplemented
114#66930C2212yescomplemented
115#66927C2211yescharacteristic, complemented
116C4×D44C2211yescharacteristic, complemented
117C4×D44C2211yescharacteristic, complemented
118C4×D44C2211yescharacteristic, complemented
119#66925C2211yescharacteristic, complemented
120C42×D11C2211yescharacteristic, complemented
121#66923C2211yescharacteristic, complemented
122C4×Dic22C2211yescharacteristic, complemented
123C24×C11C2312yes—
124C23×D11C2312yes—
125C23×D11C2312yes—
126C23×D11C2312yes—
127C11×#41—42no—
128C2×Q8×C11C2311yescharacteristic
129C2×D4×C11—42no—
130C2×D4×C11C2311yescharacteristic
131C2×D4×C11C2311yescharacteristic
132C2×D4×C11C2311yescharacteristic
133C2×D4×C11C2312yes—
134C2×D4×C11C2312yes—
135C2×D4×C11C2312yes—
136C2×D4×C11C2312yes—
137C2×D4×C11C2312yes—
138C2×D4×C11C2312yes—
139C22×C4×C11C2311yescharacteristic
140C22×C4×C11C2312yes—
141C2×C22⋊D11—44no—
142C2×C22⋊D11—44no—
143C2×C22⋊D11C2312yes—
144C2×C22⋊D11C2312yes—
145C2×C22⋊D11C2311yescharacteristic
146C2×C22⋊D11C2311yescharacteristic
147C2×C22⋊D11C2312yes—
148C2×C22⋊D11C2312yes—
149C2×C22⋊D11C2312yes—
150C2×C22⋊D11C2312yes—
151C2×C22⋊D11C2312yes—
152C2×C22⋊D11C2312yes—
153C2×C22⋊D11C2312yes—
154C2×C22⋊D11C2312yes—
155C2×C22⋊D11C2312yes—
156C2×C22⋊D11C2312yes—
157C2×C22⋊D11C2312yes—
158C2×C22⋊D11C2312yes—
159C22×Dic11C2312yes—
160C22×Dic11C2312yes—
161C22×Dic11C2312yes—
162#4343—42no—
163#4341—44no—
164D4×D11—42no—
165D4×D11—42no—
166D4×D11—42no—
167D4×D11—44no—
168D4×D11—44no—
169D4×D11—44no—
170C2×D44C2311yescharacteristic
171C2×D44C2311yescharacteristic
172C2×D44C2311yescharacteristic
173C2×D44C2312yes—
174C2×D44C2312yes—
175C2×D44C2312yes—
176C2×C4×D11C2311yescharacteristic
177C2×C4×D11C2311yescharacteristic
178C2×C4×D11C2311yescharacteristic
179C2×C4×D11C2311yescharacteristic
180C2×C4×D11C2312yes—
181C2×C4×D11C2312yes—
182C2×C4×D11C2312yes—
183C2×Dic22C2311yescharacteristic
184C11×C4⋊C4C2311yescharacteristic
185C11×C4⋊C4C2311yescharacteristic
186C11×C22⋊C4C2312yes—
187C11×C22⋊C4C2312yes—
188C11×C22⋊C4C2311yescharacteristic
189C11×C22⋊C4C2312yes—
190C11×C22⋊C4C2312yes—
191C11×C22⋊C4C2311yescharacteristic
192C42×C11C2311yescharacteristic
193C42×C11C2311yescharacteristic
194C22⋊Dic11C2312yes—
195C22⋊Dic11C2311yescharacteristic
196C22⋊Dic11C2312yes—
197C22⋊Dic11C2311yescharacteristic
198C22⋊Dic11C2312yes—
199C22⋊Dic11C2312yes—
200C22⋊Dic11C2312yes—
201C22⋊Dic11C2312yes—
202(C2×D11)⋊C4C2311yescharacteristic
203(C2×D11)⋊C4C2311yescharacteristic
204(C2×D11)⋊C4C2311yescharacteristic
205(C2×D11)⋊C4C2312yes—
206(C2×D11)⋊C4C2311yescharacteristic
207(C2×D11)⋊C4C2312yes—
208(C2×D11)⋊C4C2312yes—
209(C2×D11)⋊C4C2312yes—
210(C2×D11)⋊C4C2312yes—
211(C2×D11)⋊C4C2312yes—
212(C2×D11)⋊C4C2312yes—
213(C2×D11)⋊C4C2311yescharacteristic
214(C2×D11)⋊C4C2311yescharacteristic
215C4⋊Dic11C2311yescharacteristic
216C4⋊Dic11C2311yescharacteristic
217C4⋊Dic11C2311yescharacteristic
218C4⋊Dic11C2311yescharacteristic
219C4⋊Dic11C2312yes—
220Dic11⋊C4C2311yescharacteristic
221Dic11⋊C4C2311yescharacteristic
222Dic11⋊C4C2312yes—
223Dic11⋊C4C2312yes—
224Dic11⋊C4C2311yescharacteristic
225Dic11⋊C4C2311yescharacteristic
226Dic11⋊C4C2312yes—
227Dic11⋊C4C2311yescharacteristic
228Dic11⋊C4C2311yescharacteristic
229C4×Dic11C2311yescharacteristic
230C4×Dic11C2311yescharacteristic
231C4×Dic11C2311yescharacteristic
232C4×Dic11C2311yescharacteristic
233C4×Dic11C2312yes—
234#3543—111nomaximal, Sylow
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11C2412yes—
239C23×C11C2412yes—
240C23×C11C2411yescharacteristic
241C23×C11C2412yes—
242C22×D11—24no—
243C22×D11—24no—
244C22×D11—42no—
245C22×D11—42no—
246C22×D11—42no—
247C22×D11—42no—
248C22×D11—42no—
249C22×D11—42no—
250C22×D11—42no—
251C22×D11C2412yes—
252C22×D11C2411yescharacteristic
253C22×D11C2412yes—
254C22×D11C2411yescharacteristic
255Q8×C11—22no—
256D4×C11—22no—
257D4×C11—22no—
258D4×C11—22no—
259D4×C11—42no—
260D4×C11—42no—
261D4×C11—42no—
262D4×C11—42no—
263D4×C11—42no—
264D4×C11—42no—
265C2×C4×C11—22no—
266C2×C4×C11—42no—
267C2×C4×C11C2411yescharacteristic
268C2×C4×C11C2411yescharacteristic
269C2×C4×C11C2412yes—
270C2×C4×C11C2411yescharacteristic
271C2×C4×C11C2411yescharacteristic
272C2×C4×C11C2411yescharacteristic
273C2×C4×C11C2411yescharacteristic
274C22⋊D11—24no—
275C22⋊D11—22no—
276C22⋊D11—24no—
277C22⋊D11—24no—
278C22⋊D11—22no—
279C22⋊D11—42no—
280C22⋊D11—42no—
281C22⋊D11—42no—
282C22⋊D11—42no—
283C22⋊D11—42no—
284C22⋊D11—42no—
285C22⋊D11—42no—
286C22⋊D11—42no—
287C22⋊D11—42no—
288C22⋊D11—42no—
289C22⋊D11—42no—
290C2×Dic11—24no—
291C2×Dic11—42no—
292C2×Dic11—42no—
293C2×Dic11C2411yescharacteristic
294C2×Dic11C2411yescharacteristic
295C2×Dic11C2411yescharacteristic
296C2×Dic11C2412yes—
297C2×Dic11C2411yescharacteristic
298C2×Dic11C2412yes—
299C2×Dic11C2411yescharacteristic
300C2×Dic11C2411yescharacteristic
301D44—22no—
302D44—22no—
303D44—22no—
304D44—42no—
305D44—42no—
306D44—42no—
307C4×D11—22no—
308C4×D11—22no—
309C4×D11—22no—
310C4×D11—22no—
311C4×D11—42no—
312C4×D11—42no—
313C4×D11—42no—
314Dic22—22no—
315#560—112no—
316#560—112no—
317#559—111no—
318#550—111no—
319#550—111no—
320#546—111no—
321#546—111no—
322#546—112no—
323D42—111no—
324D42—111no—
325D42—111no—
326D42—112no—
327#540—111no—
328#540—112no—
329#540—111no—
330#535—111no—
331#535—112no—
332#535D1111yescharacteristic, complemented
333#534—112no—
334#534—112no—
335C2×#127—111no—
336#529—111no—
337#529—111no—
338C22×C11—21no—
339C22×C11—22no—
340C22×C11—22no—
341C22×C11—22no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—21no—
349C22×C11—21no—
350C22×C11—84no—
351C22×C11C2511yescharacteristic
352C2×D11—21no—
353C2×D11—21no—
354C2×D11—22no—
355C2×D11—22no—
356C2×D11—21no—
357C2×D11—22no—
358C2×D11—21no—
359C2×D11—22no—
360C2×D11—21no—
361C2×D11—22no—
362C2×D11—22no—
363C2×D11—84no—
364C2×D11—84no—
365C2×D11—84no—
366C2×D11H(5,𝔽2)12yes—
367C4×C11—21no—
368C4×C11—22no—
369C4×C11—21no—
370C4×C11—21no—
371C4×C11—21no—
372C4×C11—21no—
373C4×C11H(5,𝔽2)12yes—
374Dic11—21no—
375Dic11—21no—
376Dic11—21no—
377Dic11—21no—
378Dic11—22no—
379Dic11—22no—
380Dic11—21no—
381Dic11H(5,𝔽2)12yes—
382C2×#41—111no—
383C2×#41—112no—
384C2×#41C2×D1111yescharacteristic, complemented
385C22×D4—112no—
386C22×D4—112no—
387C22×D4—112no—
388C22×D4—112no—
389C22×D4—111no—
390C22×D4—111no—
391C22×D4—112no—
392C22×D4—111no—
393C22×D4C2×D1111yescharacteristic, complemented
394#127—112no—
395#127—111no—
396#127—111no—
397#127—112no—
398#127—112no—
399#127—111no—
400#127—111no—
401#127C2×D1111yescharacteristic, complemented
402#127C2×D1111yescharacteristic, complemented
403#126—111no—
404#126—112no—
405#126—111no—
406#125—111no—
407#125—111no—
408#124—111no—
409#124—111no—
410#124—112no—
411#124C2×D1111yescharacteristic, complemented
412#124C2×D1111yescharacteristic, complemented
413#123—112no—
414#123—112no—
415#123—112no—
416#123—111no—
417#123—112no—
418#123—112no—
419#123—112no—
420#123—111no—
421#123—112no—
422#123—112no—
423#123—112no—
424C22⋊Q8—111no—
425C22⋊Q8—111no—
426#121—111no—
427#121—112no—
428#121—112no—
429#121—112no—
430#121—112no—
431#121—112no—
432#121—111no—
433#121—112no—
434#121—111no—
435#121—112no—
436#121—112no—
437#121—112no—
438#121—112no—
439#121—112no—
440#121—111no—
441#121—111no—
442#121—111no—
443#121—112no—
444#121—112no—
445#121—112no—
446#121—112no—
447#121—112no—
448#121C2×D1112yescomplemented
449#121C2×D1112yescomplemented
450#120—112no—
451#120—112no—
452#120—112no—
453#120—112no—
454#120—112no—
455#120—112no—
456#120—112no—
457#120—112no—
458#120—112no—
459#120—112no—
460#120C2×D1112yescomplemented
461#120C2×D1112yescomplemented
462C4×Q8—111no—
463C4×Q8—111no—
464C4×D4—111no—
465C4×D4—111no—
466C4×D4—111no—
467C4×D4—111no—
468C4×D4—111no—
469C4×D4—112no—
470C4×D4—112no—
471C4×D4—112no—
472C4×D4—111no—
473C4×D4—111no—
474C4×D4—111no—
475#117—112no—
476#117—111no—
477#117C2×D1111yescharacteristic, complemented
478C2×C22⋊C4—112no—
479C2×C22⋊C4—112no—
480C2×C42—111no—
481C2×C11—42no—
482C2×C11—42no—
483C2×C11—42no—
484C2×C11—41no—
485C2×C11C2×H(5,𝔽2)11yescharacteristic
486C2×C11C2×H(5,𝔽2)11yescharacteristic
487C2×C11C2×H(5,𝔽2)11yescharacteristic
488D11—22no—
489D11—42no—
490D11—42no—
491D11—41no—
492C24—112no—
493C24—112no—
494C24—112no—
495C24C22×D1112yes—
496#41—42no—
497#41—444no—
498#41—442no—
499C2×Q8—111no—
500C2×Q8C22×D1111yescharacteristic
501C2×D4—42no—
502C2×D4—112no—
503C2×D4—111no—
504C2×D4—112no—
505C2×D4—111no—
506C2×D4—112no—
507C2×D4—112no—
508C2×D4—112no—
509C2×D4—112no—
510C2×D4—112no—
511C2×D4—112no—
512C2×D4—112no—
513C2×D4—112no—
514C2×D4—112no—
515C2×D4—112no—
516C2×D4—112no—
517C2×D4—112no—
518C2×D4—111no—
519C2×D4—111no—
520C2×D4—111no—
521C2×D4—112no—
522C2×D4—112no—
523C2×D4—112no—
524C2×D4—442no—
525C2×D4—442no—
526C2×D4—442no—
527C2×D4—444no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4—444no—
531C2×D4—444no—
532C2×D4C22×D1111yescharacteristic
533C2×D4C22×D1111yescharacteristic
534C2×D4C22×D1111yescharacteristic
535C2×D4C22×D1112yes—
536C2×D4C22×D1112yes—
537C2×D4C22×D1112yes—
538C2×D4C22×D1112yes—
539C2×D4C22×D1112yes—
540C2×D4C22×D1112yes—
541C22×C4—112no—
542C22×C4—112no—
543C22×C4—112no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—112no—
549C22×C4—112no—
550C22×C4—112no—
551C22×C4C22×D1111yescharacteristic
552C22×C4C22×D1112yes—
553C4⋊C4—112no—
554C4⋊C4—111no—
555C4⋊C4—112no—
556C4⋊C4—111no—
557C4⋊C4—111no—
558C4⋊C4—111no—
559C4⋊C4—111no—
560C4⋊C4—111no—
561C4⋊C4—111no—
562C4⋊C4—112no—
563C4⋊C4—111no—
564C4⋊C4—111no—
565C4⋊C4—112no—
566C4⋊C4—111no—
567C4⋊C4C22×D1111yescharacteristic
568C4⋊C4C22×D1111yescharacteristic
569C22⋊C4—112no—
570C22⋊C4—112no—
571C22⋊C4—112no—
572C22⋊C4—111no—
573C22⋊C4—111no—
574C22⋊C4—112no—
575C22⋊C4—112no—
576C22⋊C4—112no—
577C22⋊C4—111no—
578C22⋊C4—112no—
579C22⋊C4—111no—
580C22⋊C4—112no—
581C22⋊C4—112no—
582C22⋊C4—111no—
583C22⋊C4—111no—
584C22⋊C4—111no—
585C22⋊C4—111no—
586C22⋊C4—112no—
587C22⋊C4—112no—
588C22⋊C4—112no—
589C22⋊C4—112no—
590C22⋊C4C22×D1112yes—
591C22⋊C4C22×D1112yes—
592C22⋊C4C22×D1111yescharacteristic
593C22⋊C4C22×D1111yescharacteristic
594C22⋊C4C22×D1112yes—
595C22⋊C4C22×D1112yes—
596C42—111no—
597C42—111no—
598C42—111no—
599C42—112no—
600C42—111no—
601C42C22×D1111yescharacteristic
602C42C22×D1111yescharacteristic
603C11#354311yescharacteristic, complemented, Sylow
604C23—42no—
605C23—42no—
606C23—42no—
607C23—111no—
608C23—111no—
609C23—112no—
610C23—112no—
611C23—224no—
612C23—224no—
613C23—442no—
614C23—442no—
615C23—442no—
616C23—442no—
617C23—442no—
618C23—442no—
619C23—442no—
620C23C23×D1112yes—
621C23C23×D1112yes—
622C23C23×D1111yescharacteristic
623C23C23×D1112yes—
624Q8—22no—
625Q8—222no—
626D4—22no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—222no—
636D4—224no—
637D4—222no—
638D4—224no—
639D4—224no—
640D4—222no—
641D4—222no—
642D4—222no—
643D4—442no—
644D4—442no—
645D4—442no—
646D4—442no—
647D4—442no—
648D4—442no—
649D4—442no—
650D4—442no—
651D4—442no—
652D4—442no—
653D4—442no—
654D4—442no—
655D4—442no—
656D4—442no—
657C2×C4—22no—
658C2×C4—42no—
659C2×C4—111no—
660C2×C4—111no—
661C2×C4—111no—
662C2×C4—111no—
663C2×C4—112no—
664C2×C4—111no—
665C2×C4—111no—
666C2×C4—112no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—224no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—442no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4C23×D1111yescharacteristic
678C2×C4C23×D1111yescharacteristic
679C2×C4C23×D1112yes—
680C2×C4C23×D1111yescharacteristic
681C2×C4C23×D1111yescharacteristic
682C2×C4C23×D1111yescharacteristic
683C2×C4C23×D1111yescharacteristic
684C22—21no—
685C22—22no—
686C22—22no—
687C22—22no—
688C22—22no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—21no—
695C22—21no—
696C22—84no—
697C22—112no—
698C22—221no—
699C22—221no—
700C22—221no—
701C22—222no—
702C22—222no—
703C22—222no—
704C22—222no—
705C22—222no—
706C22—221no—
707C22—221no—
708C22—222no—
709C22—884no—
710C22—884no—
711C22—884no—
712C22C24×D1111yescharacteristic
713C4—21no—
714C4—22no—
715C4—21no—
716C4—21no—
717C4—21no—
718C4—21no—
719C4—112no—
720C4—221no—
721C4—221no—
722C4—222no—
723C4—221no—
724C4—222no—
725C4—221no—
726C4—221no—
727C4#6703712yes—
728C2—41no—
729C2—42no—
730C2—42no—
731C2—42no—
732C2—222no—
733C2—441no—
734C2—442no—
735C2—442no—
736C2C2×#6703711yescharacteristic
737C2D11×H(5,𝔽2)11yescharacteristic
738C2D11×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C24×D11
commutator, socle, cosocleC22×C11C25
FittingC11×#535C2
hypercenter#535D11
hypocenterC11#3543
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ #535

Complements

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

NH ≅ G/Ntype
1. C11×#535C2semidirect
2. #10623365C2semidirect
3. #10623360C2semidirect
4. D4×C22⋊D11C2semidirect
5. D4×C22⋊D11C2semidirect
6. #10623250C2semidirect
7. #10623249C2semidirect
8. #10623248C2semidirect
9. D11×#127C2semidirect
10. #10623212C2semidirect
11. #10623211C2semidirect
12. #10623207C2semidirect
13. #10623205C2semidirect
14. #10623151C2semidirect
15. #10623146C2semidirect
16. #10623141C2semidirect
17. #10623136C2semidirect
18. #10623126C2semidirect
19. #10623123C2semidirect
20. #10623121C2semidirect
21. #10623120C2semidirect
22. #10623066C2semidirect
23. #10623059C2semidirect
24. C2×C11×#41C22semidirect
25. C22×D4×C11C22semidirect
26. C22×C22⋊D11C22semidirect
27. C22×C22⋊D11C22semidirect
28. C2×#4343C22semidirect
29. C2×#4341C22semidirect
30. C2×D4×D11C22semidirect
31. C2×D4×D11C22semidirect
32. C2×D4×D11C22semidirect
33. C2×D4×D11C22semidirect
34. C2×D4×D11C22semidirect
35. C2×D4×D11C22semidirect
36. C11×#127C22semidirect
37. C11×#127C22semidirect
38. C11×#124C22semidirect
39. C11×#124C22semidirect
40. C11×#121C22semidirect
41. C11×#121C22semidirect
42. C11×#120C22semidirect
43. C11×#120C22semidirect
44. C11×#117C22semidirect
45. #67006C22semidirect
46. #67006C22semidirect
47. #67000C22semidirect
48. #66999C22semidirect
49. Q8×Dic11C22semidirect
51. #66993C22semidirect
52. #66993C22semidirect
53. #66993C22semidirect
54. #66993C22semidirect
55. #66993C22semidirect
56. #66992C22semidirect
57. #66992C22semidirect
58. #66992C22semidirect
59. #66992C22semidirect
60. #66992C22semidirect
61. #66992C22semidirect
62. #66992C22semidirect
64. #66991C22semidirect
65. #66991C22semidirect
66. #66991C22semidirect
67. #66991C22semidirect
68. #66991C22semidirect
69. #66990C22semidirect
70. #66990C22semidirect
71. #66990C22semidirect
72. #66990C22semidirect
73. #66990C22semidirect
74. #66988C22semidirect
75. #66988C22semidirect
76. D4×Dic11C22semidirect
77. D4×Dic11C22semidirect
78. D4×Dic11C22semidirect
79. #66983C22semidirect
80. #66983C22semidirect
81. #66983C22semidirect
82. #66982C22semidirect
83. C4×C22⋊D11C22semidirect
84. C4×C22⋊D11C22semidirect
85. C4×C22⋊D11C22semidirect
86. C2×(C2×D11)⋊C4C22semidirect
87. #66951C22semidirect
88. #66949C22semidirect
89. #66947C22semidirect
90. #66947C22semidirect
91. #66947C22semidirect
92. #66942C22semidirect
93. #66939C22semidirect
94. #66938C22semidirect
95. #66938C22semidirect
97. #66937C22semidirect
98. #66937C22semidirect
99. #66937C22semidirect
100. #66937C22semidirect
101. #66937C22semidirect
102. #66936C22semidirect
103. #66936C22semidirect
104. #66936C22semidirect
105. #66936C22semidirect
106. #66935C22semidirect
107. #66935C22semidirect
108. #66935C22semidirect
109. (C22⋊D11)⋊C4C22semidirect
110. (C22⋊D11)⋊C4C22semidirect
111. C22⋊C4×D11C22semidirect
112. #66932C22semidirect
113. #66932C22semidirect
114. #66930C22semidirect
115. #66927C22semidirect
116. C4×D44C22semidirect
117. C4×D44C22semidirect
118. C4×D44C22semidirect
119. #66925C22semidirect
120. C42×D11C22semidirect
121. #66923C22semidirect
122. C4×Dic22C22semidirect
332. #535D11semidirect
384. C2×#41C2×D11semidirect
393. C22×D4C2×D11semidirect
401. #127C2×D11semidirect
402. #127C2×D11semidirect
411. #124C2×D11semidirect
412. #124C2×D11semidirect
448. #121C2×D11semidirect
449. #121C2×D11semidirect
460. #120C2×D11semidirect
461. #120C2×D11semidirect
477. #117C2×D11semidirect
603. C11#3543semidirect

Maximal subgroups

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

subgroupindex
C11×#5352
#106233652
#106233602
D4×C22⋊D112
#106232502
#106232492
#106232482
D11×#1272
#106232122
#106232112
#106232072
#106232052
#106231512
#106231462
#106231412
#106231362
#106231262
#106231232
#106231212
#106231202
#106230662
#106230592
#354311