Finite Group Databasebeta

← #13082941

Subgroups — #13082941

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
1D42×C11C211yesmaximal, characteristic, complemented
2#10623337C211yesmaximal, characteristic, complemented
3#10623336C211yesmaximal, characteristic, complemented
4#10623335C212yesmaximal, complemented
5C2×#66993C211yesmaximal, characteristic, complemented
6D4×C22⋊D11C212yesmaximal, complemented
7D4×C22⋊D11C211yesmaximal, characteristic, complemented
8#10623249C211yesmaximal, characteristic, complemented
9#10623246C211yesmaximal, characteristic, complemented
10#10623151C212yesmaximal, complemented
11#10623150C211yesmaximal, characteristic, complemented
12#10623146C212yesmaximal, complemented
13#10623140C211yesmaximal, characteristic, complemented
14#10623131C211yesmaximal, characteristic, complemented
15#10623130C211yesmaximal, characteristic, complemented
16#10623126C212yesmaximal, complemented
17#10623123C212yesmaximal, complemented
18#10623122C212yesmaximal, complemented
19#10623120C212yesmaximal, complemented
20#10623093C211yesmaximal, characteristic, complemented
21#10623090C211yesmaximal, characteristic, complemented
22#10623081C211yesmaximal, characteristic, complemented
23#10623069C211yesmaximal, characteristic, complemented
24C22×D4×C11C2212yescomplemented
25C22×D4×C11C2211yescharacteristic, complemented
26C22×D4×C11C2211yescharacteristic, complemented
27C22×C22⋊D11C2212yescomplemented
28C22×C22⋊D11C2212yescomplemented
29C22×C22⋊D11C2212yescomplemented
30C2×#4341C2211yescharacteristic, complemented
31C2×#4341C2212yescomplemented
32C2×D4×D11C2211yescharacteristic, complemented
33C2×D4×D11C2212yescomplemented
34C2×#4339C2211yescharacteristic, complemented
35C22×D44C2211yescharacteristic, complemented
36C11×#127C2211yescharacteristic, complemented
37C11×#121C2211yescharacteristic
38C11×#121C2211yescharacteristic, complemented
39C11×#121C2212yescomplemented
40C11×#120C2212yescomplemented
41C11×#120C2212yescomplemented
42C4×D4×C11C2211yescharacteristic, complemented
43C4×D4×C11C2211yescharacteristic, complemented
44#67006C2212yescomplemented
45#67006C2212yescomplemented
46#67006C2212yescomplemented
47#67006C2212yescomplemented
48C2×C22⋊Dic11C2212yescomplemented
49#66993C2211yescharacteristic
50#66993C2211yescharacteristic, complemented
51#66993C2211yescharacteristic, complemented
52#66993C2211yescharacteristic, complemented
53#66993C2212yescomplemented
54#66993C2211yescharacteristic, complemented
55#66993C2212yescomplemented
56#66993C2212yescomplemented
57#66992C2211yescharacteristic
58#66992C2212yescomplemented
59#66992C2212yescomplemented
60#66992C2212yescomplemented
61#66992C2212yescomplemented
62#66992C2212yescomplemented
63#66992C2212yescomplemented
64#66992C2212yescomplemented
65#66992C2212yescomplemented
66#66991C2212yescomplemented
67#66991C2211yescharacteristic, complemented
68#66991C2212yescomplemented
69#66991C2212yescomplemented
70#66991C2212yescomplemented
71#66990C2212yescomplemented
72#66990C2212yescomplemented
73#66990C2212yescomplemented
74#66990C2212yescomplemented
75#66990C2212yescomplemented
76#66989C2211yescharacteristic, complemented
77#66989C2211yescharacteristic, complemented
78#66988C2211yescharacteristic, complemented
79#66988C2212yescomplemented
80#66988C2212yescomplemented
81D4×Dic11C2211yescharacteristic, complemented
82D4×Dic11C2211yescharacteristic, complemented
83D4×Dic11C2212yescomplemented
84#66983C2211yescharacteristic, complemented
85#66983C2212yescomplemented
86#66982C2212yescomplemented
87#66982C2212yescomplemented
88C4×C22⋊D11C2211yescharacteristic, complemented
89C4×C22⋊D11C2211yescharacteristic, complemented
90C4×C22⋊D11C2212yescomplemented
91#66979C2211yescharacteristic, complemented
92#66977C2211yescharacteristic, complemented
93C2×C4×Dic11C2211yescharacteristic, complemented
94#66951C2211yescharacteristic, complemented
95#66948C2211yescharacteristic, complemented
96#66947C2212yescomplemented
97#66946C2211yescharacteristic, complemented
98#66943C2211yescharacteristic, complemented
99#66942C2211yescharacteristic, complemented
100#66940C2211yescharacteristic, complemented
101#66939C2211yescharacteristic, complemented
102#66939C2212yescomplemented
103#66938C2211yescharacteristic, complemented
104#66938C2212yescomplemented
105#66937C2212yescomplemented
106#66937C2212yescomplemented
107#66937C2212yescomplemented
108#66937C2212yescomplemented
109#66936C2212yescomplemented
110#66936C2212yescomplemented
111#66936C2212yescomplemented
112#66935C2212yescomplemented
113(C22⋊D11)⋊C4C2212yescomplemented
114C22⋊C4×D11C2212yescomplemented
115#66932C2211yescharacteristic, complemented
116#66932C2212yescomplemented
117#66931C2211yescharacteristic, complemented
118#66930C2212yescomplemented
119#66928C2211yescharacteristic, complemented
120C4×D44C2211yescharacteristic, complemented
121#66925C2211yescharacteristic, complemented
122C4×Dic22C2211yescharacteristic, complemented
123C24×C11C2312yes—
124C24×C11C2312yes—
125C23×D11C2312yes—
126C23×D11C2312yes—
127C2×D4×C11—42no—
128C2×D4×C11—42no—
129C2×D4×C11—44no—
130C2×D4×C11C2312yes—
131C2×D4×C11C2311yescharacteristic
132C2×D4×C11C2311yescharacteristic
133C2×D4×C11C2311yescharacteristic
134C2×D4×C11C2311yescharacteristic
135C2×D4×C11C2312yes—
136C2×D4×C11C2312yes—
137C2×D4×C11C2312yes—
138C2×D4×C11C2312yes—
139C2×D4×C11C2312yes—
140C22×C4×C11C2311yescharacteristic
141C22×C4×C11C2311yescharacteristic
142C22×C4×C11C2312yes—
143C2×C22⋊D11—44no—
144C2×C22⋊D11—44no—
145C2×C22⋊D11—44no—
146C2×C22⋊D11C2312yes—
147C2×C22⋊D11C2311yescharacteristic
148C2×C22⋊D11C2312yes—
149C2×C22⋊D11C2311yescharacteristic
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—
159C2×C22⋊D11C2312yes—
160C2×C22⋊D11C2312yes—
161C2×C22⋊D11C2312yes—
162C2×C22⋊D11C2312yes—
163C22×Dic11C2312yes—
164C22×Dic11C2311yescharacteristic
165C22×Dic11C2311yescharacteristic
166C22×Dic11C2312yes—
167C22×Dic11C2312yes—
168#4341—42no—
169#4341—44no—
170D4×D11—44no—
171D4×D11—42no—
172#4339—42no—
173C2×D44—42no—
174C2×D44C2311yescharacteristic
175C2×D44C2311yescharacteristic
176C2×D44C2312yes—
177C2×D44C2312yes—
178C2×C4×D11C2311yescharacteristic
179C2×C4×D11C2312yes—
180C2×C4×D11C2312yes—
181C2×C4×D11C2312yes—
182C2×Dic22C2311yescharacteristic
183C2×Dic22C2311yescharacteristic
184C11×C4⋊C4C2311yescharacteristic
185C11×C4⋊C4C2311yescharacteristic
186C11×C22⋊C4C2312yes—
187C11×C22⋊C4C2311yescharacteristic
188C11×C22⋊C4C2311yescharacteristic
189C11×C22⋊C4C2312yes—
190C11×C22⋊C4C2312yes—
191C42×C11C2311yescharacteristic
192C22⋊Dic11C2312yes—
193C22⋊Dic11C2311yescharacteristic
194C22⋊Dic11C2311yescharacteristic
195C22⋊Dic11C2311yescharacteristic
196C22⋊Dic11C2312yes—
197C22⋊Dic11C2312yes—
198C22⋊Dic11C2312yes—
199C22⋊Dic11C2312yes—
200C22⋊Dic11C2312yes—
201C22⋊Dic11C2312yes—
202C22⋊Dic11C2311yescharacteristic
203C22⋊Dic11C2312yes—
204(C2×D11)⋊C4C2311yescharacteristic
205(C2×D11)⋊C4C2311yescharacteristic
206(C2×D11)⋊C4C2312yes—
207(C2×D11)⋊C4C2312yes—
208(C2×D11)⋊C4C2312yes—
209(C2×D11)⋊C4C2312yes—
210(C2×D11)⋊C4C2312yes—
211(C2×D11)⋊C4C2311yescharacteristic
212(C2×D11)⋊C4C2312yes—
213(C2×D11)⋊C4C2311yescharacteristic
214C4⋊Dic11C2311yescharacteristic
215C4⋊Dic11C2311yescharacteristic
216C4⋊Dic11C2311yescharacteristic
217C4⋊Dic11C2312yes—
218C4⋊Dic11C2311yescharacteristic
219Dic11⋊C4C2311yescharacteristic
220Dic11⋊C4C2311yescharacteristic
221Dic11⋊C4C2311yescharacteristic
222Dic11⋊C4C2311yescharacteristic
223Dic11⋊C4C2312yes—
224Dic11⋊C4C2312yes—
225Dic11⋊C4C2311yescharacteristic
226Dic11⋊C4C2312yes—
227Dic11⋊C4C2311yescharacteristic
228C4×Dic11C2311yescharacteristic
229C4×Dic11C2311yescharacteristic
230C4×Dic11C2311yescharacteristic
231C4×Dic11C2311yescharacteristic
232C4×Dic11C2312yes—
233C4×Dic11C2311yescharacteristic
234#3543—111nomaximal, Sylow
235C23×C11—24no—
236C23×C11—42no—
237C23×C11—42no—
238C23×C11—42no—
239C23×C11—42no—
240C23×C11—42no—
241C23×C11C2412yes—
242C23×C11C2411yescharacteristic
243C23×C11C2412yes—
244C23×C11C2412yes—
245C23×C11C2411yescharacteristic
246C22×D11—24no—
247C22×D11—42no—
248C22×D11—42no—
249C22×D11—42no—
250C22×D11—42no—
251C22×D11—42no—
252C22×D11C2412yes—
253C22×D11C2411yescharacteristic
254C22×D11C2412yes—
255D4×C11—24no—
256D4×C11—22no—
257D4×C11—22no—
258D4×C11—22no—
259D4×C11—22no—
260D4×C11—42no—
261D4×C11—42no—
262D4×C11—42no—
263D4×C11—42no—
264D4×C11—42no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—42no—
268C2×C4×C11C2411yescharacteristic
269C2×C4×C11C2412yes—
270C2×C4×C11C2411yescharacteristic
271C2×C4×C11C2411yescharacteristic
272C2×C4×C11C2411yescharacteristic
273C2×C4×C11C2411yescharacteristic
274C22⋊D11—22no—
275C22⋊D11—24no—
276C22⋊D11—22no—
277C22⋊D11—24no—
278C22⋊D11—42no—
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—
290C22⋊D11—42no—
291C2×Dic11—22no—
292C2×Dic11—24no—
293C2×Dic11—22no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11C2411yescharacteristic
297C2×Dic11C2411yescharacteristic
298C2×Dic11C2411yescharacteristic
299C2×Dic11C2411yescharacteristic
300C2×Dic11C2412yes—
301C2×Dic11C2411yescharacteristic
302C2×Dic11C2411yescharacteristic
303C2×Dic11C2412yes—
304C2×Dic11C2411yescharacteristic
305D44—22no—
306D44—22no—
307D44—42no—
308D44—42no—
309C4×D11—22no—
310C4×D11—42no—
311C4×D11—42no—
312C4×D11—42no—
313Dic22—22no—
314Dic22—22no—
315#560—112no—
316#560—112no—
317#559—111no—
318#550—111no—
319#550—111no—
320#546—111no—
321#546—112no—
322#546—111no—
323D42—112no—
324D42—111no—
325D42—111no—
326D42D1111yescharacteristic, complemented
327#540—112no—
328#540—111no—
329#540—111no—
330#535—111no—
331#535—111no—
332#535—112no—
333#534—112no—
334#534—112no—
335C2×#127—111no—
336#529—111no—
337#529—111no—
338C22×C11—21no—
339C22×C11—21no—
340C22×C11—21no—
341C22×C11—22no—
342C22×C11—21no—
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—21no—
351C22×C11—22no—
352C22×C11—84no—
353C22×C11—84no—
354C22×C11H(5,𝔽2)12yes—
355C22×C11C2511yescharacteristic
356C2×D11—22no—
357C2×D11—22no—
358C2×D11—21no—
359C2×D11—22no—
360C2×D11—21no—
361C2×D11—22no—
362C2×D11—21no—
363C2×D11—22no—
364C2×D11—22no—
365C2×D11—84no—
366C2×D11—84no—
367C4×C11—21no—
368C4×C11—21no—
369C4×C11—21no—
370C4×C11—22no—
371C4×C11—21no—
372C4×C11H(5,𝔽2)12yes—
373Dic11—22no—
374Dic11—21no—
375Dic11—21no—
376Dic11—21no—
377Dic11—22no—
378Dic11—21no—
379Dic11—21no—
380Dic11—21no—
381Dic11H(5,𝔽2)12yes—
382C2×#41—112no—
383C2×#41—111no—
384C2×#41—111no—
385C22×D4—112no—
386C22×D4—112no—
387C22×D4—112no—
388C22×D4—112no—
389C22×D4—111no—
390C22×D4—111no—
391C22×D4C2×D1111yescharacteristic, complemented
392C22×D4C2×D1112yescomplemented
393C22×D4C2×D1111yescharacteristic, complemented
394#127—112no—
395#127—111no—
396#127—111no—
397#127—111no—
398#127—111no—
399#127—112no—
400#127—112no—
401#127—111no—
402#127C2×D1111yescharacteristic, complemented
403#126—111no—
404#126—111no—
405#126—112no—
406#125—111no—
407#125—111no—
408#124—111no—
409#124—111no—
410#124—111no—
411#124—112no—
412#124—111no—
413#123—112no—
414#123—111no—
415#123—112no—
416#123—112no—
417#123—112no—
418#123—112no—
419#123—111no—
420#123—112no—
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—112no—
433#121—112no—
434#121—112no—
435#121—112no—
436#121—111no—
437#121—112no—
438#121—112no—
439#121—112no—
440#121—111no—
441#121—112no—
442#121—111no—
443#121—112no—
444#121—112no—
445#121—112no—
446#121—112no—
447#121C2×D1111yescharacteristic
448#121C2×D1111yescharacteristic, complemented
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—112no—
465C4×D4—111no—
466C4×D4—111no—
467C4×D4—111no—
468C4×D4—111no—
469C4×D4—112no—
470C4×D4—111no—
471C4×D4—112no—
472C4×D4—111no—
473C4×D4C2×D1111yescharacteristic, complemented
474C4×D4C2×D1111yescharacteristic, complemented
475#117—111no—
476#117—112no—
477#117—111no—
478C2×C22⋊C4—112no—
479C2×C22⋊C4—112no—
480C2×C42—111no—
481C2×C11—22no—
482C2×C11—42no—
483C2×C11—42no—
484C2×C11—41no—
485C2×C11—42no—
486C2×C11C2×H(5,𝔽2)11yescharacteristic
487C2×C11C2×H(5,𝔽2)11yescharacteristic
488C2×C11C2×H(5,𝔽2)11yescharacteristic
489D11—42no—
490D11—42no—
491D11—41no—
492C24—112no—
493C24—112no—
494C24C22×D1112yes—
495C24C22×D1112yes—
496#41—442no—
497#41—442no—
498#41—444no—
499C2×Q8—111no—
500C2×Q8—111no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—44no—
504C2×D4—111no—
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—112no—
519C2×D4—112no—
520C2×D4—112no—
521C2×D4—111no—
522C2×D4—111no—
523C2×D4—112no—
524C2×D4—112no—
525C2×D4—442no—
526C2×D4—442no—
527C2×D4—444no—
528C2×D4—444no—
529C2×D4—444no—
530C2×D4—444no—
531C2×D4C22×D1112yes—
532C2×D4C22×D1111yescharacteristic
533C2×D4C22×D1111yescharacteristic
534C2×D4C22×D1111yescharacteristic
535C2×D4C22×D1111yescharacteristic
536C2×D4C22×D1112yes—
537C2×D4C22×D1112yes—
538C2×D4C22×D1112yes—
539C2×D4C22×D1112yes—
540C2×D4C22×D1112yes—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—112no—
544C22×C4—112no—
545C22×C4—112no—
546C22×C4—111no—
547C22×C4—112no—
548C22×C4—112no—
549C22×C4—112no—
550C22×C4C22×D1111yescharacteristic
551C22×C4C22×D1111yescharacteristic
552C22×C4C22×D1112yes—
553C4⋊C4—111no—
554C4⋊C4—112no—
555C4⋊C4—111no—
556C4⋊C4—112no—
557C4⋊C4—111no—
558C4⋊C4—111no—
559C4⋊C4—111no—
560C4⋊C4—111no—
561C4⋊C4—111no—
562C4⋊C4—111no—
563C4⋊C4—112no—
564C4⋊C4—112no—
565C4⋊C4—111no—
566C4⋊C4—111no—
567C4⋊C4C22×D1111yescharacteristic
568C4⋊C4C22×D1111yescharacteristic
569C22⋊C4—111no—
570C22⋊C4—112no—
571C22⋊C4—112no—
572C22⋊C4—112no—
573C22⋊C4—111no—
574C22⋊C4—112no—
575C22⋊C4—111no—
576C22⋊C4—112no—
577C22⋊C4—111no—
578C22⋊C4—112no—
579C22⋊C4—112no—
580C22⋊C4—112no—
581C22⋊C4—112no—
582C22⋊C4—112no—
583C22⋊C4—111no—
584C22⋊C4—111no—
585C22⋊C4—111no—
586C22⋊C4—111no—
587C22⋊C4—112no—
588C22⋊C4—112no—
589C22⋊C4—112no—
590C22⋊C4—112no—
591C22⋊C4C22×D1111yescharacteristic
592C22⋊C4C22×D1112yes—
593C22⋊C4C22×D1112yes—
594C22⋊C4C22×D1111yescharacteristic
595C22⋊C4C22×D1112yes—
596C42—111no—
597C42—111no—
598C42—111no—
599C42—111no—
600C42—112no—
601C42—111no—
602C42C22×D1111yescharacteristic
603C11#354311yescharacteristic, complemented, Sylow
604C23—24no—
605C23—42no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—111no—
611C23—112no—
612C23—112no—
613C23—224no—
614C23—442no—
615C23—442no—
616C23—442no—
617C23—442no—
618C23—442no—
619C23C23×D1112yes—
620C23C23×D1111yescharacteristic
621C23C23×D1112yes—
622C23C23×D1112yes—
623C23C23×D1111yescharacteristic
624Q8—222no—
625Q8—222no—
626D4—22no—
627D4—24no—
628D4—22no—
629D4—22no—
630D4—22no—
631D4—42no—
632D4—42no—
633D4—42no—
634D4—42no—
635D4—42no—
636D4—222no—
637D4—224no—
638D4—224no—
639D4—222no—
640D4—222no—
641D4—222no—
642D4—442no—
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—22no—
659C2×C4—42no—
660C2×C4—111no—
661C2×C4—111no—
662C2×C4—111no—
663C2×C4—111no—
664C2×C4—112no—
665C2×C4—111no—
666C2×C4—111no—
667C2×C4—111no—
668C2×C4—112no—
669C2×C4—222no—
670C2×C4—224no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—442no—
674C2×C4—442no—
675C2×C4—442no—
676C2×C4—442no—
677C2×C4—442no—
678C2×C4C23×D1111yescharacteristic
679C2×C4C23×D1112yes—
680C2×C4C23×D1111yescharacteristic
681C2×C4C23×D1111yescharacteristic
682C2×C4C23×D1111yescharacteristic
683C2×C4C23×D1111yescharacteristic
684C22—21no—
685C22—21no—
686C22—21no—
687C22—22no—
688C22—22no—
689C22—21no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—21no—
697C22—22no—
698C22—84no—
699C22—84no—
700C22—221no—
701C22—222no—
702C22—222no—
703C22—221no—
704C22—222no—
705C22—222no—
706C22—222no—
707C22—221no—
708C22—222no—
709C22—884no—
710C22—884no—
711C22#6703712yes—
712C22C24×D1111yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—22no—
717C4—21no—
718C4—112no—
719C4—221no—
720C4—221no—
721C4—221no—
722C4—221no—
723C4—222no—
724C4—222no—
725C4—221no—
726C4—221no—
727C4#6703712yes—
728C2—22no—
729C2—41no—
730C2—42no—
731C2—42no—
732C2—42no—
733C2—441no—
734C2—442no—
735C2—442no—
736C2C2×#6703711yescharacteristic
737C2C2×#6703711yescharacteristic
738C2D11×H(5,𝔽2)11yescharacteristic
subgroupG/H
center, FrattiniC22C24×D11
commutator, socle, cosocleC22×C11C25
FittingD42×C11C2
hypercenterD42D11
hypocenterC11#3543
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. D42×C11C2semidirect
2. #10623337C2semidirect
3. #10623336C2semidirect
4. #10623335C2semidirect
5. C2×#66993C2semidirect
6. D4×C22⋊D11C2semidirect
7. D4×C22⋊D11C2semidirect
8. #10623249C2semidirect
9. #10623246C2semidirect
10. #10623151C2semidirect
11. #10623150C2semidirect
12. #10623146C2semidirect
13. #10623140C2semidirect
14. #10623131C2semidirect
15. #10623130C2semidirect
16. #10623126C2semidirect
17. #10623123C2semidirect
18. #10623122C2semidirect
19. #10623120C2semidirect
20. #10623093C2semidirect
21. #10623090C2semidirect
22. #10623081C2semidirect
23. #10623069C2semidirect
24. C22×D4×C11C22semidirect
25. C22×D4×C11C22semidirect
26. C22×D4×C11C22semidirect
27. C22×C22⋊D11C22semidirect
28. C22×C22⋊D11C22semidirect
29. C22×C22⋊D11C22semidirect
30. C2×#4341C22semidirect
31. C2×#4341C22semidirect
32. C2×D4×D11C22semidirect
33. C2×D4×D11C22semidirect
34. C2×#4339C22semidirect
35. C22×D44C22semidirect
36. C11×#127C22semidirect
38. C11×#121C22semidirect
39. C11×#121C22semidirect
40. C11×#120C22semidirect
41. C11×#120C22semidirect
42. C4×D4×C11C22semidirect
43. C4×D4×C11C22semidirect
44. #67006C22semidirect
45. #67006C22semidirect
46. #67006C22semidirect
47. #67006C22semidirect
48. C2×C22⋊Dic11C22semidirect
50. #66993C22semidirect
51. #66993C22semidirect
52. #66993C22semidirect
53. #66993C22semidirect
54. #66993C22semidirect
55. #66993C22semidirect
56. #66993C22semidirect
58. #66992C22semidirect
59. #66992C22semidirect
60. #66992C22semidirect
61. #66992C22semidirect
62. #66992C22semidirect
63. #66992C22semidirect
64. #66992C22semidirect
65. #66992C22semidirect
66. #66991C22semidirect
67. #66991C22semidirect
68. #66991C22semidirect
69. #66991C22semidirect
70. #66991C22semidirect
71. #66990C22semidirect
72. #66990C22semidirect
73. #66990C22semidirect
74. #66990C22semidirect
75. #66990C22semidirect
76. #66989C22semidirect
77. #66989C22semidirect
78. #66988C22semidirect
79. #66988C22semidirect
80. #66988C22semidirect
81. D4×Dic11C22semidirect
82. D4×Dic11C22semidirect
83. D4×Dic11C22semidirect
84. #66983C22semidirect
85. #66983C22semidirect
86. #66982C22semidirect
87. #66982C22semidirect
88. C4×C22⋊D11C22semidirect
89. C4×C22⋊D11C22semidirect
90. C4×C22⋊D11C22semidirect
91. #66979C22semidirect
92. #66977C22semidirect
93. C2×C4×Dic11C22semidirect
94. #66951C22semidirect
95. #66948C22semidirect
96. #66947C22semidirect
97. #66946C22semidirect
98. #66943C22semidirect
99. #66942C22semidirect
100. #66940C22semidirect
101. #66939C22semidirect
102. #66939C22semidirect
103. #66938C22semidirect
104. #66938C22semidirect
105. #66937C22semidirect
106. #66937C22semidirect
107. #66937C22semidirect
108. #66937C22semidirect
109. #66936C22semidirect
110. #66936C22semidirect
111. #66936C22semidirect
112. #66935C22semidirect
113. (C22⋊D11)⋊C4C22semidirect
114. C22⋊C4×D11C22semidirect
115. #66932C22semidirect
116. #66932C22semidirect
117. #66931C22semidirect
118. #66930C22semidirect
119. #66928C22semidirect
120. C4×D44C22semidirect
121. #66925C22semidirect
122. C4×Dic22C22semidirect
326. D42D11semidirect
391. C22×D4C2×D11semidirect
392. C22×D4C2×D11semidirect
393. C22×D4C2×D11semidirect
402. #127C2×D11semidirect
448. #121C2×D11semidirect
449. #121C2×D11semidirect
460. #120C2×D11semidirect
461. #120C2×D11semidirect
473. C4×D4C2×D11semidirect
474. C4×D4C2×D11semidirect
603. C11#3543semidirect

Maximal subgroups

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

subgroupindex
D42×C112
#106233372
#106233362
#106233352
C2×#669932
D4×C22⋊D112
#106232492
#106232462
#106231512
#106231502
#106231462
#106231402
#106231312
#106231302
#106231262
#106231232
#106231222
#106231202
#106230932
#106230902
#106230812
#106230692
#354311