Finite Group Databasebeta

← #15660633

Subgroups — #15660633

Order 2816.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1432 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082048C214yesmaximal, complemented
2#13082046C214yesmaximal, complemented
3#13082042C214yesmaximal, complemented
4#13082036C214yesmaximal, complemented
5#13082035C214yesmaximal, complemented
6#13082031C214yesmaximal, complemented
7#13082027C214yesmaximal, complemented
8#13082024C214yesmaximal, complemented
9#13082019C211yesmaximal, characteristic, complemented
10#13082006C211yesmaximal, characteristic, complemented
11#13082001C212yesmaximal, complemented
12#13081999C218yesmaximal, complemented
13#13081946C212yesmaximal, complemented
14#13081943C211yesmaximal, characteristic, complemented
15#13081913C211yesmaximal, characteristic, complemented
16#13081911C211yesmaximal, characteristic, complemented
17#13081910C218yesmaximal, complemented
18#13081908C212yesmaximal, complemented
19C2×#10623053C211yesmaximal, characteristic, complemented
20C4×#41×D11C212yesmaximal, complemented
21C11×#3455C211yesmaximal, characteristic, complemented
22C2×#41×D11C2212yes—
23C22×#4339C2211yescharacteristic
24C11×#542C2214yescomplemented
25C11×#541C2212yescomplemented
26C11×#540C2212yescomplemented
27C11×#539C2214yescomplemented
28C11×#538C2214yescomplemented
29C11×#533C2211yescharacteristic, complemented
30C11×#532C2211yescharacteristic
31C11×#529C2218yescomplemented
32C11×#525C2212yescomplemented
33C4×C11×#41C2212yescomplemented
34C2×C11×#117C2211yescharacteristic, complemented
35#10623363C2212yes—
36#10623359C2212yescomplemented
37#41×Dic11C2212yescomplemented
38#10623322C2212yescomplemented
39C22×C4×Dic11C2211yescharacteristic, complemented
40#10623260C2214yescomplemented
41#10623259C2212yescomplemented
42#10623259C2212yescomplemented
43#10623256C2212yescomplemented
44#10623255C2212yescomplemented
45#10623247C2212yescomplemented
46#10623246C2212yescomplemented
47#10623241C2218yescomplemented
48#10623238C2218yescomplemented
49#10623237C2218yescomplemented
50#10623237C2218yescomplemented
51#10623237C2218yescomplemented
52#10623237C2218yescomplemented
53#10623235C2218yescomplemented
54#10623232C2218yescomplemented
55#10623227C2218yescomplemented
56#10623223C2218yescomplemented
57#10623222C2218yescomplemented
58#10623222C2214yescomplemented
59#10623220C2214yescomplemented
60#10623219C2218yescomplemented
61#10623211C2218yescomplemented
62#10623211C2214yescomplemented
63#10623209C2218yescomplemented
64#10623206C2212yescomplemented
65#10623205C2212yescomplemented
66#10623200C2218yescomplemented
67#10623199C2218yescomplemented
68#10623194C2218yescomplemented
69#10623193C2218yescomplemented
70#10623191C2218yescomplemented
71#10623188C2218yescomplemented
72#10623187C2218yescomplemented
73#10623187C2218yescomplemented
74#10623184C2214yes—
75#10623180C2218yescomplemented
76#10623180C2218yescomplemented
77#10623180C2218yescomplemented
78#10623179C2214yescomplemented
79#10623171C2218yescomplemented
80#10623169C2218yescomplemented
81#10623165C2214yes—
82#10623160C2214yes—
83#10623159C2214yescomplemented
84#10623158C2218yescomplemented
85#10623158C2214yescomplemented
86#10623155C2214yescomplemented
87#10623155C2214yescomplemented
88#10623154C2214yescomplemented
89#10623153C2214yescomplemented
90#10623153C2218yescomplemented
91#10623146C2218yescomplemented
92#10623144C2218yescomplemented
93#10623139C2214yes—
94#10623138C2214yescomplemented
95#10623137C2218yescomplemented
96#10623137C2214yescomplemented
97#10623136C2214yes—
98#10623131C2214yescomplemented
99#10623131C2214yescomplemented
100#10623128C2214yes—
101#10623127C2214yescomplemented
102#10623127C2218yescomplemented
103#10623123C2214yescomplemented
104#10623120C2214yes—
105#10623117C2218yescomplemented
106#10623114C2214yescomplemented
107#10623113C2214yescomplemented
108#10623111C2214yescomplemented
109#10623109C2218yescomplemented
110C4×#4343C2214yescomplemented
111C4×#4343C2214yescomplemented
112C4×Q8×D11C2214yescomplemented
113#10623095C2218yescomplemented
114#10623093C2214yescomplemented
115#10623092C2214yescomplemented
116#10623091C2218yescomplemented
117#10623088C2214yescomplemented
118#10623079C2218yes—
119#10623078C2218yescomplemented
120#10623078C2218yescomplemented
121C4×D4×D11C2218yes—
122C4×D4×D11C2214yescomplemented
123#10623069C2218yescomplemented
124C4×#4341C2218yescomplemented
125C4×#4341C2214yescomplemented
126C4×#4341C2214yescomplemented
127C4×#4341C2218yescomplemented
128#10623066C2212yescomplemented
129#10623065C2214yescomplemented
130#10623059C2218yescomplemented
131#10623059C2218yescomplemented
132#10623055C2212yescomplemented
133#10623053C2212yescomplemented
134#10623053C2214yescomplemented
135#10623053C2214yescomplemented
136#10623053C2214yescomplemented
137#10623053C2214yescomplemented
138#10623053C2214yescomplemented
139D11×#117C2212yes—
140D11×#117C2214yescomplemented
141#10623049C2212yescomplemented
142#10623048C2212yescomplemented
143#10623046C2214yescomplemented
144C2×#66946C2212yes—
145C2×#66940C2212yescomplemented
146#10623025C2214yescomplemented
147C2×(C22⋊D11)⋊C4C2212yes—
148C2×(C22⋊D11)⋊C4C2212yescomplemented
149#10623010C2218yescomplemented
150#10623008C2211yescharacteristic
151C4×#4339C2214yescomplemented
152C4×#4339C2212yescomplemented
153C2×#66925C2211yescharacteristic
154C2×#66925C2211yescharacteristic, complemented
155C2×C42×D11C2211yescharacteristic
156C2×C42×D11C2214yescomplemented
157C2×C42×D11C2211yescharacteristic, complemented
158#10623001C2211yescharacteristic, complemented
159C2×C11×#41C2312yes—
160C23×C4×C11C2311yescharacteristic
161C22×C22⋊D11C2311yescharacteristic
162C22×C22⋊D11C2311yescharacteristic
163C23×Dic11C2312yes—
164#41×D11—216no—
165C2×#4343C2312yes—
166C2×#4343C2314yes—
167C2×Q8×D11C2312yes—
168C2×#4341C2312yes—
169C2×#4341C2314yes—
170C2×#4341C2314yes—
171C2×#4341C2318yes—
172C2×D4×D11C2312yes—
173C2×D4×D11C2314yes—
174C2×#4339—28no—
175C2×#4339C2312yes—
176C2×#4339C2314yes—
177C2×#4339C2314yes—
178C2×#4339C2314yes—
179C22×D44C2311yescharacteristic
180C22×C4×D11C2311yescharacteristic
181C22×C4×D11C2314yes—
182C22×C4×D11C2312yes—
183C22×C4×D11C2312yes—
184C22×C4×D11C2318yes—
185C22×C4×D11C2311yescharacteristic
186C22×Dic22C2311yescharacteristic
187C11×C4⋊Q8C2311yescharacteristic
188C11×C4⋊Q8C2312yes—
189C11×#127C2311yescharacteristic
190C11×#126C2318yes—
191C11×#126C2318yes—
192C11×#125C2318yes—
193C11×#125C2312yes—
194C11×#124C2318yes—
195C11×#124C2312yes—
196C11×#123C2314yes—
197C11×#123C2318yes—
198C11×#123C2318yes—
199C11×C22⋊Q8C2314yes—
200C11×C22⋊Q8C2318yes—
201C11×C22⋊Q8C2314yes—
202C11×#121C2314yes—
203C11×#121C2318yes—
204C11×#121C2314yes—
205C11×#120C2314yes—
206C4×Q8×C11C2314yes—
207C4×Q8×C11C2314yes—
208C4×D4×C11C2318yes—
209C4×D4×C11C2318yes—
210C4×D4×C11C2314yes—
211C4×D4×C11C2314yes—
212C11×#117C2312yes—
213C11×#117C2312yes—
214C11×#117C2314yes—
215C11×#117C2314yes—
216C11×#117C2312yes—
217C2×C11×C4⋊C4C2312yes—
218C2×C11×C22⋊C4C2312yes—
219C2×C42×C11C2311yescharacteristic
220C2×C42×C11C2311yescharacteristic
221C2×C42×C11C2314yes—
222#67006C2314yes—
223#67000C2312yes—
224#67000C2314yes—
225#66999C2314yes—
226#66999C2314yes—
227#66999C2318yes—
228Q8×Dic11C2314yes—
229Q8×Dic11C2314yes—
230#66997C2312yes—
231#66997C2318yes—
232#66993C2312yes—
233#66993C2318yes—
234#66992C2318yes—
235#66992C2318yes—
236#66992C2318yes—
237#66992C2318yes—
238#66991C2314yes—
239#66991C2314yes—
240#66991C2318yes—
241#66990C2318yes—
242#66990C2318yes—
243#66990C2314yes—
244#66989C2312yes—
245#66989C2314yes—
246#66988C2318yes—
247#66988C2314yes—
248D4×Dic11C2314yes—
249D4×Dic11C2314yes—
250D4×Dic11C2318yes—
251D4×Dic11C2318yes—
252#66983C2314yes—
253#66983C2318yes—
254#66983C2314yes—
255#66982C2318yes—
256#66982C2318yes—
257#66982C2314yes—
258C4×C22⋊D11C2318yes—
259C4×C22⋊D11C2318yes—
260C4×C22⋊D11C2318yes—
261C4×C22⋊D11C2318yes—
262C4×C22⋊D11C2318yes—
263C4×C22⋊D11C2318yes—
264C2×(C2×D11)⋊C4C2312yes—
265C2×(C2×D11)⋊C4C2312yes—
266#66979C2312yes—
267#66979C2314yes—
268#66977C2314yes—
269#66977C2318yes—
270#66977C2314yes—
271C2×Dic11⋊C4C2312yes—
272C2×Dic11⋊C4C2312yes—
273C2×C4×Dic11C2311yescharacteristic
274C2×C4×Dic11C2312yes—
275C2×C4×Dic11C2312yes—
276C2×C4×Dic11C2314yes—
277C2×C4×Dic11C2318yes—
278C2×C4×Dic11C2311yescharacteristic
279C2×C4×Dic11C2312yes—
280C2×C4×Dic11C2312yes—
281C2×C4×Dic11C2312yes—
282C2×C4×Dic11C2314yes—
283#66951C2318yes—
284#66951C2318yes—
285#66951C2318yes—
286#66951C2318yes—
287#66950C2318yes—
288#66950C2314yes—
289#66950C2314yes—
290#66949C2318yes—
291#66949C2318yes—
292#66949C2318yes—
293#66949C2318yes—
294#66949C2318yes—
295#66949C2318yes—
296#66948C2314yes—
297#66948C2318yes—
298#66948C2314yes—
299#66947C2318yes—
300#66947C2318yes—
301#66947C2318yes—
302#66947C2318yes—
303#66947C2318yes—
304#66946C2314yes—
305#66946C2314yes—
306#66946C2314yes—
307#66946C2318yes—
308#66946C2318yes—
309#66946C2314yes—
310#66946C2314yes—
311#66946C2314yes—
312#66945C2314yes—
313#66945C2314yes—
314#66945C2318yes—
315#66945C2318yes—
316#66945C2318yes—
317#66945C2314yes—
318C4⋊C4×D11C2318yes—
319C4⋊C4×D11C2314yes—
320#66943C2314yes—
321#66943C2314yes—
322#66943C2314yes—
323#66942C2318yes—
324#66942C2318yes—
325#66942C2318yes—
326#66942C2318yes—
327#66942C2318yes—
328#66941C2318yes—
329#66941C2318yes—
330#66941C2314yes—
331#66940C2314yes—
332#66940C2314yes—
333#66940C2314yes—
334#66940C2318yes—
335#66940C2318yes—
336#66940C2314yes—
337#66940C2314yes—
338#66940C2314yes—
339#66939C2318yes—
340#66939C2314yes—
341#66938C2318yes—
342#66938C2318yes—
343#66938C2318yes—
344#66938C2318yes—
345#66938C2318yes—
346#66937C2318yes—
347#66937C2318yes—
348#66937C2318yes—
349#66937C2318yes—
350#66937C2318yes—
351#66937C2318yes—
352#66936C2318yes—
353#66936C2318yes—
354#66936C2318yes—
355#66936C2318yes—
356#66936C2318yes—
357#66935C2318yes—
358#66935C2318yes—
359#66935C2314yes—
360(C22⋊D11)⋊C4C2314yes—
361(C22⋊D11)⋊C4C2314yes—
362(C22⋊D11)⋊C4C2318yes—
363(C22⋊D11)⋊C4C2318yes—
364(C22⋊D11)⋊C4C2318yes—
365(C22⋊D11)⋊C4C2318yes—
366(C22⋊D11)⋊C4C2318yes—
367(C22⋊D11)⋊C4C2314yes—
368(C22⋊D11)⋊C4C2314yes—
369(C22⋊D11)⋊C4C2314yes—
370(C22⋊D11)⋊C4C2314yes—
371(C22⋊D11)⋊C4C2314yes—
372(C22⋊D11)⋊C4C2314yes—
373(C22⋊D11)⋊C4C2318yes—
374C22⋊C4×D11C2318yes—
375C22⋊C4×D11C2314yes—
376#66932C2318yes—
377#66932C2318yes—
378#66932C2318yes—
379#66932C2318yes—
380#66931C2318yes—
381#66931C2318yes—
382#66931C2318yes—
383#66931C2318yes—
384#66930C2318yes—
385#66930C2318yes—
386#66930C2318yes—
387#66930C2318yes—
388#66930C2314yes—
389#66929C2318yes—
390#66929C2318yes—
391#66928C2318yes—
392#66928C2312yes—
393#66927C2311yescharacteristic
394C4×D44C2318yes—
395C4×D44C2314yes—
396C4×D44C2314yes—
397C4×D44C2318yes—
398#66925C2312yes—
399#66925C2312yes—
400#66925C2314yes—
401#66925C2314yes—
402#66925C2314yes—
403#66925C2314yes—
404#66925C2314yes—
405#66925C2314yes—
406C42×D11C2318yes—
407C42×D11C2318yes—
408C42×D11C2312yes—
409C42×D11C2312yes—
410C42×D11C2312yes—
411C42×D11C2312yes—
412C42×D11C2314yes—
413C42×D11C2314yes—
414C42×D11C2314yes—
415C42×D11C2312yes—
416C42×D11C2314yes—
417C42×D11C2312yes—
418#66923C2318yes—
419#66923C2312yes—
420#66922C2312yes—
421#66922C2311yescharacteristic
422C4×Dic22C2318yes—
423C4×Dic22C2314yes—
424C4×Dic22C2314yes—
425C4×Dic22C2318yes—
426#62686—111nomaximal, Sylow
427C24×C11C2411yescharacteristic
428C23×D11C2414yes—
429C23×D11C2411yescharacteristic
430C23×D11C2411yescharacteristic
431C11×#41—28no—
432C2×Q8×C11C2412yes—
433C2×Q8×C11C2414yes—
434C2×D4×C11C2414yes—
435C2×D4×C11C2412yes—
436C2×D4×C11C2418yes—
437C2×D4×C11C2414yes—
438C22×C4×C11—24no—
439C22×C4×C11C2412yes—
440C22×C4×C11C2412yes—
441C22×C4×C11C2411yescharacteristic
442C22×C4×C11C2414yes—
443C22×C4×C11C2412yes—
444C22×C4×C11C2412yes—
445C22×C4×C11C2418yes—
446C22×C4×C11C2411yescharacteristic
447C2×C22⋊D11—24no—
448C2×C22⋊D11—24no—
449C2×C22⋊D11C2414yes—
450C2×C22⋊D11C2414yes—
451C2×C22⋊D11C2414yes—
452C2×C22⋊D11C2414yes—
453C2×C22⋊D11C2414yes—
454C2×C22⋊D11C2418yes—
455C2×C22⋊D11C2418yes—
456C2×C22⋊D11C2418yes—
457C22×Dic11—44no—
458C22×Dic11C2414yes—
459C22×Dic11C2414yes—
460C22×Dic11C2418yes—
461C22×Dic11C2412yes—
462C22×Dic11C2411yescharacteristic
463C22×Dic11C2412yes—
464C22×Dic11C2414yes—
465C22×Dic11C2411yescharacteristic
466#4343—28no—
467#4343—48no—
468Q8×D11—28no—
469#4341—216no—
470#4341—28no—
471#4341—48no—
472#4341—416no—
473D4×D11—28no—
474D4×D11—216no—
475#4339—216no—
476#4339—216no—
477#4339—216no—
478#4339—28no—
479C2×D44—24no—
480C2×D44C2412yes—
481C2×D44C2414yes—
482C2×D44C2414yes—
483C2×D44C2414yes—
484C2×D44C2418yes—
485C2×C4×D11—216no—
486C2×C4×D11—24no—
487C2×C4×D11—44no—
488C2×C4×D11—416no—
489C2×C4×D11—44no—
490C2×C4×D11#4118yescomplemented
491C2×C4×D11C2414yes—
492C2×C4×D11C2414yes—
493C2×C4×D11C2412yes—
494C2×C4×D11C2412yes—
495C2×C4×D11C2412yes—
496C2×C4×D11C2418yes—
497C2×C4×D11C2412yes—
498C2×C4×D11C2414yes—
499C2×C4×D11C2414yes—
500C2×C4×D11C2414yes—
501C2×C4×D11C2418yes—
502C2×C4×D11C2418yes—
503C2×C4×D11C2412yes—
504C2×C4×D11C2412yes—
505C2×C4×D11C2412yes—
506C2×C4×D11C2412yes—
507C2×Dic22—24no—
508C2×Dic22C2412yes—
509C2×Dic22C2414yes—
510C2×Dic22C2414yes—
511C2×Dic22C2414yes—
512C2×Dic22C2418yes—
513C11×C4⋊C4C2414yes—
514C11×C4⋊C4C2414yes—
515C11×C4⋊C4C2418yes—
516C11×C4⋊C4C2414yes—
517C11×C4⋊C4C2418yes—
518C11×C4⋊C4C2414yes—
519C11×C4⋊C4C2418yes—
520C11×C4⋊C4C2414yes—
521C11×C22⋊C4C2414yes—
522C11×C22⋊C4C2418yes—
523C11×C22⋊C4C2418yes—
524C11×C22⋊C4C2418yes—
525C11×C22⋊C4C2418yes—
526C11×C22⋊C4C2414yes—
527C11×C22⋊C4C2414yes—
528C42×C11C2412yes—
529C42×C11C2412yes—
530C42×C11C2414yes—
531C42×C11C2418yes—
532C42×C11C2411yescharacteristic
533C42×C11C2411yescharacteristic
534C42×C11C2412yes—
535C22⋊Dic11C2414yes—
536C22⋊Dic11C2418yes—
537C22⋊Dic11C2418yes—
538C22⋊Dic11C2418yes—
539C22⋊Dic11C2418yes—
540(C2×D11)⋊C4C2414yes—
541(C2×D11)⋊C4C2414yes—
542(C2×D11)⋊C4C2414yes—
543(C2×D11)⋊C4C2414yes—
544(C2×D11)⋊C4C2418yes—
545(C2×D11)⋊C4C2418yes—
546(C2×D11)⋊C4C2418yes—
547(C2×D11)⋊C4C2418yes—
548(C2×D11)⋊C4C2418yes—
549(C2×D11)⋊C4C2418yes—
550(C2×D11)⋊C4C2418yes—
551(C2×D11)⋊C4C2418yes—
552(C2×D11)⋊C4C2418yes—
553C4⋊Dic11C2414yes—
554C4⋊Dic11C2414yes—
555C4⋊Dic11C2418yes—
556C4⋊Dic11C2418yes—
557C4⋊Dic11C2414yes—
558C4⋊Dic11C2418yes—
559Dic11⋊C4C2418yes—
560Dic11⋊C4C2418yes—
561Dic11⋊C4C2418yes—
562Dic11⋊C4C2418yes—
563Dic11⋊C4C2418yes—
564Dic11⋊C4C2418yes—
565Dic11⋊C4C2414yes—
566Dic11⋊C4C2418yes—
567Dic11⋊C4C2418yes—
568Dic11⋊C4C2414yes—
569Dic11⋊C4C2414yes—
570Dic11⋊C4C2414yes—
571Dic11⋊C4C2418yes—
572C4×Dic11C2414yes—
573C4×Dic11C2412yes—
574C4×Dic11C2414yes—
575C4×Dic11C2418yes—
576C4×Dic11C2411yescharacteristic
577C4×Dic11C2411yescharacteristic
578C4×Dic11C2414yes—
579C4×Dic11C2412yes—
580C4×Dic11C2412yes—
581C4×Dic11C2418yes—
582C4×Dic11C2418yes—
583C4×Dic11C2418yes—
584C4×Dic11C2412yes—
585C4×Dic11C2412yes—
586C4×Dic11C2412yes—
587C4×Dic11C2412yes—
588C4×Dic11C2414yes—
589C4×Dic11C2414yes—
590#3461—114no—
591#3461—114no—
592#3461—114no—
593#3460—114no—
594#3460—114no—
595#3460—114no—
596#3459—114no—
597#3459—114no—
598#3458—111no—
599#3455—118no—
600#3455—112no—
601#3455—111no—
602#3455D1111yescharacteristic, complemented
603#3449—111no—
604#3449—112no—
605#3444—111no—
606#3444—111no—
607#3444—118no—
608#3444—112no—
609C2×C4×#41—112no—
610C2×C4×#41—111no—
611C23×C11—22no—
612C23×C11—42no—
613C23×C11C2514yes—
614C23×C11C2512yes—
615C23×C11C2511yescharacteristic
616C22×D11—22no—
617C22×D11—28no—
618C22×D11—42no—
619C22×D11—48no—
620C22×D11—42no—
621C22×D11C2×#4114yes—
622C22×D11C2512yes—
623C22×D11C2514yes—
624C22×D11C2512yes—
625Q8×C11—24no—
626Q8×C11—44no—
627D4×C11—28no—
628D4×C11—24no—
629D4×C11—44no—
630D4×C11—48no—
631C2×C4×C11—22no—
632C2×C4×C11—28no—
633C2×C4×C11—24no—
634C2×C4×C11—24no—
635C2×C4×C11—42no—
636C2×C4×C11—48no—
637C2×C4×C11—42no—
638C2×C4×C11C2×#4114yes—
639C2×C4×C11C2514yes—
640C2×C4×C11C2512yes—
641C2×C4×C11C2512yes—
642C2×C4×C11C2514yes—
643C2×C4×C11C2518yes—
644C2×C4×C11C2512yes—
645C2×C4×C11C2511yescharacteristic
646C2×C4×C11C2511yescharacteristic
647C22⋊D11—28no—
648C22⋊D11—28no—
649C22⋊D11—28no—
650C22⋊D11—28no—
651C22⋊D11—28no—
652C22⋊D11—48no—
653C22⋊D11—48no—
654C22⋊D11—48no—
655C2×Dic11—22no—
656C2×Dic11—28no—
657C2×Dic11—24no—
658C2×Dic11—216no—
659C2×Dic11—28no—
660C2×Dic11—42no—
661C2×Dic11—44no—
662C2×Dic11C2×#4114yes—
663C2×Dic11C2512yes—
664C2×Dic11C2514yes—
665C2×Dic11C2514yes—
666C2×Dic11C2512yes—
667C2×Dic11C2518yes—
668C2×Dic11C2512yes—
669C2×Dic11C2512yes—
670D44—28no—
671D44—28no—
672D44—24no—
673D44—48no—
674D44—44no—
675C4×D11—28no—
676C4×D11—28no—
677C4×D11—24no—
678C4×D11—24no—
679C4×D11—28no—
680C4×D11—28no—
681C4×D11—24no—
682C4×D11—216no—
683C4×D11—24no—
684C4×D11—48no—
685C4×D11—48no—
686C4×D11—44no—
687C4×D11—42no—
688C4×D11—42no—
689C4×D11C2×#4118yes—
690C4×D11C2×#4118yes—
691Dic22—24no—
692Dic22—28no—
693Dic22—28no—
694Dic22—44no—
695Dic22—48no—
696C22×#41—112no—
697C22×#41—111no—
698#544—114no—
699#544—114no—
700#544—114no—
701#543—114no—
702#542—118no—
703#542—118no—
704#542—118no—
705#542—118no—
706#542—114no—
707#542—114no—
708#542—114no—
709#542C2×D1114yescomplemented
710#541—118no—
711#541—118no—
712#541—114no—
713#541—112no—
714#541C2×D1112yescomplemented
715#540—118no—
716#540—118no—
717#540—114no—
718#540—112no—
719#540C2×D1112yescomplemented
720#539—118no—
721#539—118no—
722#539—118no—
723#539—118no—
724#539—118no—
725#539—114no—
726#539C2×D1114yescomplemented
727#538—118no—
728#538—118no—
729#538—118no—
730#538—118no—
731#538—118no—
732#538—114no—
733#538C2×D1114yescomplemented
734#537—114no—
735#537—114no—
736#537—114no—
737#536—112no—
738#536—112no—
739#536—114no—
740#536—114no—
741#535—112no—
742#535—112no—
743#535—114no—
744#535—114no—
745#534—114no—
746#534—114no—
747#534—114no—
748#533—112no—
749#533—112no—
750#533—118no—
751#533—114no—
752#533—118no—
753#533—118no—
754#533—112no—
755#533—111no—
756#533C2×D1111yescharacteristic, complemented
757#532—112no—
758#532—112no—
759#532—112no—
760#532—118no—
761#532—114no—
762#532—118no—
763#532—118no—
764#532—111no—
765#532C2×D1111yescharacteristic
766#529—118no—
767#529—118no—
768#529—118no—
769#529—118no—
770#529—118no—
771#529—114no—
772#529—118no—
773#529—114no—
774#529—118no—
775#529—118no—
776#529—118no—
777#529—114no—
778#529—114no—
779#529—114no—
780#529—114no—
781#529—114no—
782#529—118no—
783#529—114no—
784#529—118no—
785#529—118no—
786#529—118no—
787#529C2×D1118yescomplemented
788#525—112no—
789#525—112no—
790#525—118no—
791#525—118no—
792#525—118no—
793#525—114no—
794#525—114no—
795#525—118no—
796#525—118no—
797#525—118no—
798#525—118no—
799#525—112no—
800#525C2×D1112yescomplemented
801C4×#41—112no—
802C4×#41—114no—
803C4×#41—114no—
804C4×#41—118no—
805C4×#41—114no—
806C4×#41—114no—
807C4×#41—118no—
808C4×#41—114no—
809C4×#41—114no—
810C4×#41—112no—
811C4×#41—114no—
812C4×#41—114no—
813C4×#41—114no—
814C4×#41—114no—
815C4×#41—112no—
816C4×#41C2×D1112yescomplemented
817C2×C4×Q8—114no—
818C2×C4×Q8—112no—
819C2×C4×D4—118no—
820C2×C4×D4—114no—
821C2×C4×D4—112no—
822C2×C4×D4—112no—
823C2×C4×D4—112no—
824C2×#117—112no—
825C2×#117—114no—
826C2×#117—111no—
827C2×#117—111no—
828C2×#117C2×D1111yescharacteristic, complemented
829C22×C42—111no—
830C22×C42—111no—
831C22×C42—111no—
832C22×C42—114no—
833C22×C11—22no—
834C22×C11—22no—
835C22×C11—24no—
836C22×C11—28no—
837C22×C11—24no—
838C22×C11—44no—
839C22×C11C22×#4112yes—
840C22×C11C2611yescharacteristic
841C2×D11—24no—
842C2×D11—22no—
843C2×D11—24no—
844C2×D11—22no—
845C2×D11—28no—
846C2×D11—22no—
847C2×D11—44no—
848C2×D11—416no—
849C2×D11—44no—
850C2×D11C22×#4114yes—
851C4×C11—22no—
852C4×C11—24no—
853C4×C11—24no—
854C4×C11—22no—
855C4×C11—28no—
856C4×C11—22no—
857C4×C11C22×#4112yes—
858C4×C11C22×#4112yes—
859Dic11—24no—
860Dic11—22no—
861Dic11—28no—
862Dic11—24no—
863Dic11—22no—
864Dic11C22×#4114yes—
865Dic11#58514yes—
866C2×#41—112no—
867C2×#41—114no—
868C2×#41—114no—
869C2×#41—112no—
870C2×#41—114no—
871C2×#41—118no—
872C2×#41—114no—
873C2×#41—114no—
874C2×#41—112no—
875C2×#41—114no—
876C2×#41—228no—
877C2×#41—2216no—
878C2×#41C22×D1112yes—
879C22×Q8—112no—
880C22×Q8—111no—
881C22×D4—111no—
882C22×D4—111no—
883C22×D4—114no—
884C22×D4—112no—
885C22×D4—111no—
886C23×C4—111no—
887C23×C4—112no—
888C23×C4—114no—
889C23×C4—111no—
890C23×C4—112no—
891C23×C4—112no—
892C23×C4—118no—
893C23×C4C22×D1111yescharacteristic
894C4⋊Q8—112no—
895C4⋊Q8—118no—
896C4⋊Q8—118no—
897C4⋊Q8—118no—
898C4⋊Q8—114no—
899C4⋊Q8—111no—
900C4⋊Q8—112no—
901C4⋊Q8C22×D1112yes—
902C4⋊Q8C22×D1111yescharacteristic
903#127—118no—
904#127—112no—
905#127—111no—
906#127C22×D1111yescharacteristic
907#126—118no—
908#126—118no—
909#126—118no—
910#126—118no—
911#126—118no—
912#126—118no—
913#126—118no—
914#126—118no—
915#126—118no—
916#126—118no—
917#126C22×D1118yes—
918#126C22×D1118yes—
919#125—118no—
920#125—118no—
921#125—118no—
922#125—114no—
923#125—114no—
924#125—118no—
925#125—118no—
926#125—114no—
927#125—118no—
928#125—112no—
929#125C22×D1112yes—
930#125C22×D1118yes—
931#124—112no—
932#124—114no—
933#124—112no—
934#124—114no—
935#124—118no—
936#124—118no—
937#124—118no—
938#124—118no—
939#124—118no—
940#124—112no—
941#124—118no—
942#124C22×D1112yes—
943#124C22×D1118yes—
944#123—114no—
945#123—118no—
946#123—114no—
947#123—118no—
948#123—118no—
949#123—118no—
950#123—118no—
951#123—118no—
952#123—118no—
953#123—118no—
954#123—118no—
955#123—118no—
956#123—114no—
957#123—118no—
958#123—118no—
959#123—118no—
960#123—118no—
961#123C22×D1118yes—
962#123C22×D1118yes—
963#123C22×D1114yes—
964C22⋊Q8—114no—
965C22⋊Q8—118no—
966C22⋊Q8—114no—
967C22⋊Q8—114no—
968C22⋊Q8—114no—
969C22⋊Q8—118no—
970C22⋊Q8—118no—
971C22⋊Q8—118no—
972C22⋊Q8—114no—
973C22⋊Q8—118no—
974C22⋊Q8—118no—
975C22⋊Q8—118no—
976C22⋊Q8—118no—
977C22⋊Q8—118no—
978C22⋊Q8—114no—
979C22⋊Q8—118no—
980C22⋊Q8—118no—
981C22⋊Q8—118no—
982C22⋊Q8—118no—
983C22⋊Q8C22×D1114yes—
984C22⋊Q8C22×D1118yes—
985C22⋊Q8C22×D1114yes—
986#121—118no—
987#121—118no—
988#121—114no—
989#121—118no—
990#121—118no—
991#121—114no—
992#121—118no—
993#121—114no—
994#121—114no—
995#121—118no—
996#121—118no—
997#121—114no—
998#121—114no—
999#121—118no—
1000#121—118no—
1001#121—118no—
1002#121—118no—
1003#121—118no—
1004#121—118no—
1005#121C22×D1114yes—
1006#121C22×D1118yes—
1007#121C22×D1114yes—
1008#120—114no—
1009#120—114no—
1010#120—118no—
1011#120—118no—
1012#120—118no—
1013#120—118no—
1014#120—114no—
1015#120C22×D1114yes—
1016C4×Q8—114no—
1017C4×Q8—114no—
1018C4×Q8—118no—
1019C4×Q8—114no—
1020C4×Q8—114no—
1021C4×Q8—114no—
1022C4×Q8—114no—
1023C4×Q8—114no—
1024C4×Q8—118no—
1025C4×Q8—114no—
1026C4×Q8—118no—
1027C4×Q8—114no—
1028C4×Q8—118no—
1029C4×Q8—114no—
1030C4×Q8C22×D1114yes—
1031C4×Q8C22×D1114yes—
1032C4×D4—118no—
1033C4×D4—114no—
1034C4×D4—114no—
1035C4×D4—118no—
1036C4×D4—118no—
1037C4×D4—118no—
1038C4×D4—118no—
1039C4×D4—118no—
1040C4×D4—118no—
1041C4×D4—118no—
1042C4×D4—118no—
1043C4×D4—114no—
1044C4×D4—114no—
1045C4×D4—114no—
1046C4×D4—114no—
1047C4×D4—114no—
1048C4×D4—114no—
1049C4×D4—118no—
1050C4×D4—118no—
1051C4×D4—114no—
1052C4×D4—114no—
1053C4×D4—118no—
1054C4×D4—118no—
1055C4×D4—114no—
1056C4×D4—114no—
1057C4×D4—114no—
1058C4×D4—114no—
1059C4×D4—114no—
1060C4×D4—114no—
1061C4×D4—118no—
1062C4×D4—118no—
1063C4×D4—118no—
1064C4×D4—118no—
1065C4×D4—114no—
1066C4×D4—114no—
1067C4×D4—118no—
1068C4×D4C22×D1118yes—
1069C4×D4C22×D1114yes—
1070C4×D4C22×D1114yes—
1071C4×D4C22×D1118yes—
1072#117—112no—
1073#117—114no—
1074#117—114no—
1075#117—118no—
1076#117—114no—
1077#117—118no—
1078#117—118no—
1079#117—114no—
1080#117—114no—
1081#117—118no—
1082#117—118no—
1083#117—118no—
1084#117—118no—
1085#117—114no—
1086#117—114no—
1087#117—114no—
1088#117—114no—
1089#117—114no—
1090#117—112no—
1091#117—112no—
1092#117—114no—
1093#117C22×D1112yes—
1094#117C22×D1114yes—
1095#117C22×D1114yes—
1096#117C22×D1112yes—
1097#117C22×D1112yes—
1098C2×C4⋊C4—112no—
1099C2×C4⋊C4—112no—
1100C2×C4⋊C4—114no—
1101C2×C4⋊C4—118no—
1102C2×C4⋊C4C22×D1112yes—
1103C2×C22⋊C4—112no—
1104C2×C22⋊C4—112no—
1105C2×C22⋊C4—114no—
1106C2×C22⋊C4—118no—
1107C2×C22⋊C4C22×D1112yes—
1108C2×C42—111no—
1109C2×C42—112no—
1110C2×C42—112no—
1111C2×C42—112no—
1112C2×C42—112no—
1113C2×C42—114no—
1114C2×C42—111no—
1115C2×C42—112no—
1116C2×C42—118no—
1117C2×C42—114no—
1118C2×C42—112no—
1119C2×C42—114no—
1120C2×C42—114no—
1121C2×C42—118no—
1122C2×C42—112no—
1123C2×C42—114no—
1124C2×C42—112no—
1125C2×C42—112no—
1126C2×C42—114no—
1127C2×C42—118no—
1128C2×C42—112no—
1129C2×C42—112no—
1130C2×C42C22×D1111yescharacteristic
1131C2×C42C22×D1111yescharacteristic
1132C2×C42C22×D1114yes—
1133C2×C11—22no—
1134C2×C11—44no—
1135C2×C11—42no—
1136C2×C11C23×#4111yescharacteristic
1137C2×C11C2×#58512yes—
1138D11—24no—
1139D11—42no—
1140D11—44no—
1141C24—111no—
1142C24—114no—
1143C24—111no—
1144C24C23×D1111yescharacteristic
1145#41—28no—
1146#41—2216no—
1147#41—2216no—
1148#41—2216no—
1149#41—2216no—
1150#41—228no—
1151#41—228no—
1152#41—228no—
1153#41—448no—
1154#41—4416no—
1155#41—448no—
1156C2×Q8—114no—
1157C2×Q8—114no—
1158C2×Q8—112no—
1159C2×Q8—114no—
1160C2×Q8—118no—
1161C2×Q8—224no—
1162C2×Q8—228no—
1163C2×Q8C23×D1112yes—
1164C2×Q8C23×D1114yes—
1165C2×D4—114no—
1166C2×D4—114no—
1167C2×D4—114no—
1168C2×D4—114no—
1169C2×D4—114no—
1170C2×D4—118no—
1171C2×D4—118no—
1172C2×D4—118no—
1173C2×D4—114no—
1174C2×D4—114no—
1175C2×D4—112no—
1176C2×D4—118no—
1177C2×D4—114no—
1178C2×D4—224no—
1179C2×D4—228no—
1180C2×D4—224no—
1181C2×D4—2216no—
1182C2×D4—224no—
1183C2×D4C23×D1114yes—
1184C2×D4C23×D1112yes—
1185C2×D4C23×D1114yes—
1186C2×D4C23×D1118yes—
1187C22×C4—24no—
1188C22×C4—111no—
1189C22×C4—118no—
1190C22×C4—112no—
1191C22×C4—112no—
1192C22×C4—112no—
1193C22×C4—111no—
1194C22×C4—118no—
1195C22×C4—114no—
1196C22×C4—114no—
1197C22×C4—112no—
1198C22×C4—114no—
1199C22×C4—114no—
1200C22×C4—114no—
1201C22×C4—112no—
1202C22×C4—118no—
1203C22×C4—112no—
1204C22×C4—114no—
1205C22×C4—112no—
1206C22×C4—112no—
1207C22×C4—114no—
1208C22×C4—114no—
1209C22×C4—118no—
1210C22×C4—112no—
1211C22×C4—112no—
1212C22×C4—118no—
1213C22×C4—2216no—
1214C22×C4—224no—
1215C22×C4—444no—
1216C22×C4—4416no—
1217C22×C4—444no—
1218C22×C4—444no—
1219C22×C4C23×D1111yescharacteristic
1220C22×C4C23×D1112yes—
1221C22×C4C23×D1112yes—
1222C22×C4C23×D1114yes—
1223C22×C4C23×D1112yes—
1224C22×C4C23×D1112yes—
1225C22×C4C23×D1118yes—
1226C22×C4C23×D1111yescharacteristic
1227C4⋊C4—114no—
1228C4⋊C4—118no—
1229C4⋊C4—114no—
1230C4⋊C4—114no—
1231C4⋊C4—118no—
1232C4⋊C4—114no—
1233C4⋊C4—114no—
1234C4⋊C4—118no—
1235C4⋊C4—118no—
1236C4⋊C4—118no—
1237C4⋊C4—118no—
1238C4⋊C4—118no—
1239C4⋊C4—118no—
1240C4⋊C4—118no—
1241C4⋊C4—118no—
1242C4⋊C4—114no—
1243C4⋊C4—118no—
1244C4⋊C4—118no—
1245C4⋊C4—114no—
1246C4⋊C4C23×D1114yes—
1247C4⋊C4C23×D1118yes—
1248C4⋊C4C23×D1114yes—
1249C4⋊C4C23×D1114yes—
1250C4⋊C4C23×D1114yes—
1251C4⋊C4C23×D1118yes—
1252C4⋊C4C23×D1118yes—
1253C4⋊C4C23×D1114yes—
1254C22⋊C4—114no—
1255C22⋊C4—118no—
1256C22⋊C4—118no—
1257C22⋊C4—118no—
1258C22⋊C4—118no—
1259C22⋊C4—114no—
1260C22⋊C4—118no—
1261C22⋊C4—114no—
1262C22⋊C4—118no—
1263C22⋊C4—114no—
1264C22⋊C4—114no—
1265C22⋊C4—118no—
1266C22⋊C4—118no—
1267C22⋊C4—118no—
1268C22⋊C4—118no—
1269C22⋊C4—118no—
1270C22⋊C4—118no—
1271C22⋊C4—118no—
1272C22⋊C4C23×D1114yes—
1273C22⋊C4C23×D1118yes—
1274C22⋊C4C23×D1114yes—
1275C22⋊C4C23×D1114yes—
1276C22⋊C4C23×D1118yes—
1277C22⋊C4C23×D1118yes—
1278C22⋊C4C23×D1118yes—
1279C42—114no—
1280C42—112no—
1281C42—114no—
1282C42—112no—
1283C42—118no—
1284C42—118no—
1285C42—112no—
1286C42—114no—
1287C42—118no—
1288C42—112no—
1289C42—114no—
1290C42—112no—
1291C42—112no—
1292C42—118no—
1293C42—111no—
1294C42—111no—
1295C42—112no—
1296C42—114no—
1297C42C23×D1112yes—
1298C42C23×D1111yescharacteristic
1299C42C23×D1111yescharacteristic
1300C42C23×D1118yes—
1301C42C23×D1112yes—
1302C42C23×D1112yes—
1303C42C23×D1114yes—
1304C11#6268611yescharacteristic, complemented, Sylow
1305C23—22no—
1306C23—42no—
1307C23—112no—
1308C23—114no—
1309C23—114no—
1310C23—112no—
1311C23—228no—
1312C23—222no—
1313C23—442no—
1314C23—442no—
1315C23—448no—
1316C23C24×D1114yes—
1317C23C24×D1112yes—
1318C23C24×D1111yescharacteristic
1319Q8—24no—
1320Q8—44no—
1321Q8—228no—
1322Q8—228no—
1323Q8—224no—
1324Q8—444no—
1325Q8—448no—
1326D4—28no—
1327D4—24no—
1328D4—44no—
1329D4—48no—
1330D4—228no—
1331D4—228no—
1332D4—228no—
1333D4—228no—
1334D4—228no—
1335D4—228no—
1336D4—228no—
1337D4—224no—
1338D4—448no—
1339D4—444no—
1340D4—448no—
1341D4—448no—
1342D4—448no—
1343C2×C4—22no—
1344C2×C4—24no—
1345C2×C4—24no—
1346C2×C4—28no—
1347C2×C4—42no—
1348C2×C4—48no—
1349C2×C4—42no—
1350C2×C4—114no—
1351C2×C4—112no—
1352C2×C4—112no—
1353C2×C4—118no—
1354C2×C4—118no—
1355C2×C4—112no—
1356C2×C4—112no—
1357C2×C4—114no—
1358C2×C4—118no—
1359C2×C4—114no—
1360C2×C4—228no—
1361C2×C4—228no—
1362C2×C4—224no—
1363C2×C4—2216no—
1364C2×C4—224no—
1365C2×C4—228no—
1366C2×C4—228no—
1367C2×C4—224no—
1368C2×C4—2216no—
1369C2×C4—228no—
1370C2×C4—222no—
1371C2×C4—228no—
1372C2×C4—224no—
1373C2×C4—224no—
1374C2×C4—444no—
1375C2×C4—448no—
1376C2×C4—442no—
1377C2×C4—448no—
1378C2×C4—442no—
1379C2×C4—444no—
1380C2×C4—442no—
1381C2×C4#41×D1114yes—
1382C2×C4C24×D1114yes—
1383C2×C4C24×D1112yes—
1384C2×C4C24×D1112yes—
1385C2×C4C24×D1114yes—
1386C2×C4C24×D1118yes—
1387C2×C4C24×D1112yes—
1388C2×C4C24×D1111yescharacteristic
1389C2×C4C24×D1111yescharacteristic
1390C22—22no—
1391C22—22no—
1392C22—24no—
1393C22—28no—
1394C22—24no—
1395C22—44no—
1396C22—114no—
1397C22—224no—
1398C22—224no—
1399C22—222no—
1400C22—222no—
1401C22—228no—
1402C22—222no—
1403C22—444no—
1404C22—444no—
1405C22—4416no—
1406C22C2×#41×D1112yes—
1407C22C25×D1111yescharacteristic
1408C4—22no—
1409C4—24no—
1410C4—24no—
1411C4—22no—
1412C4—28no—
1413C4—22no—
1414C4—114no—
1415C4—114no—
1416C4—224no—
1417C4—222no—
1418C4—222no—
1419C4—228no—
1420C4—224no—
1421C4C2×#41×D1112yes—
1422C4C2×#41×D1112yes—
1423C2—22no—
1424C2—42no—
1425C2—44no—
1426C2—224no—
1427C2—442no—
1428C2—444no—
1429C2C22×#41×D1111yescharacteristic
1430C2D11×#58512yes—
subgroupG/H
centerC2×C4C24×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingC11×#3455C2
hypercenter#3455D11
hypocenterC11#62686
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #13082048C2semidirect
2. #13082046C2semidirect
3. #13082042C2semidirect
4. #13082036C2semidirect
5. #13082035C2semidirect
6. #13082031C2semidirect
7. #13082027C2semidirect
8. #13082024C2semidirect
9. #13082019C2semidirect
10. #13082006C2semidirect
11. #13082001C2semidirect
12. #13081999C2semidirect
13. #13081946C2semidirect
14. #13081943C2semidirect
15. #13081913C2semidirect
16. #13081911C2semidirect
17. #13081910C2semidirect
18. #13081908C2semidirect
19. C2×#10623053C2semidirect
20. C4×#41×D11C2semidirect
21. C11×#3455C2semidirect
24. C11×#542C22semidirect
25. C11×#541C22semidirect
26. C11×#540C22semidirect
27. C11×#539C22semidirect
28. C11×#538C22semidirect
29. C11×#533C22semidirect
31. C11×#529C22semidirect
32. C11×#525C22semidirect
33. C4×C11×#41C22semidirect
34. C2×C11×#117C22semidirect
36. #10623359C22semidirect
37. #41×Dic11C22semidirect
38. #10623322C22semidirect
39. C22×C4×Dic11C22semidirect
40. #10623260C22semidirect
41. #10623259C22semidirect
42. #10623259C22semidirect
43. #10623256C22semidirect
44. #10623255C22semidirect
45. #10623247C22semidirect
46. #10623246C22semidirect
47. #10623241C22semidirect
48. #10623238C22semidirect
49. #10623237C22semidirect
50. #10623237C22semidirect
51. #10623237C22semidirect
52. #10623237C22semidirect
53. #10623235C22semidirect
54. #10623232C22semidirect
55. #10623227C22semidirect
56. #10623223C22semidirect
57. #10623222C22semidirect
58. #10623222C22semidirect
59. #10623220C22semidirect
60. #10623219C22semidirect
61. #10623211C22semidirect
62. #10623211C22semidirect
63. #10623209C22semidirect
64. #10623206C22semidirect
65. #10623205C22semidirect
66. #10623200C22semidirect
67. #10623199C22semidirect
68. #10623194C22semidirect
69. #10623193C22semidirect
70. #10623191C22semidirect
71. #10623188C22semidirect
72. #10623187C22semidirect
73. #10623187C22semidirect
75. #10623180C22semidirect
76. #10623180C22semidirect
77. #10623180C22semidirect
78. #10623179C22semidirect
79. #10623171C22semidirect
80. #10623169C22semidirect
83. #10623159C22semidirect
84. #10623158C22semidirect
85. #10623158C22semidirect
86. #10623155C22semidirect
87. #10623155C22semidirect
88. #10623154C22semidirect
89. #10623153C22semidirect
90. #10623153C22semidirect
91. #10623146C22semidirect
92. #10623144C22semidirect
94. #10623138C22semidirect
95. #10623137C22semidirect
96. #10623137C22semidirect
98. #10623131C22semidirect
99. #10623131C22semidirect
101. #10623127C22semidirect
102. #10623127C22semidirect
103. #10623123C22semidirect
105. #10623117C22semidirect
106. #10623114C22semidirect
107. #10623113C22semidirect
108. #10623111C22semidirect
109. #10623109C22semidirect
110. C4×#4343C22semidirect
111. C4×#4343C22semidirect
112. C4×Q8×D11C22semidirect
113. #10623095C22semidirect
114. #10623093C22semidirect
115. #10623092C22semidirect
116. #10623091C22semidirect
117. #10623088C22semidirect
119. #10623078C22semidirect
120. #10623078C22semidirect
122. C4×D4×D11C22semidirect
123. #10623069C22semidirect
124. C4×#4341C22semidirect
125. C4×#4341C22semidirect
126. C4×#4341C22semidirect
127. C4×#4341C22semidirect
128. #10623066C22semidirect
129. #10623065C22semidirect
130. #10623059C22semidirect
131. #10623059C22semidirect
132. #10623055C22semidirect
133. #10623053C22semidirect
134. #10623053C22semidirect
135. #10623053C22semidirect
136. #10623053C22semidirect
137. #10623053C22semidirect
138. #10623053C22semidirect
140. D11×#117C22semidirect
141. #10623049C22semidirect
142. #10623048C22semidirect
143. #10623046C22semidirect
145. C2×#66940C22semidirect
146. #10623025C22semidirect
148. C2×(C22⋊D11)⋊C4C22semidirect
149. #10623010C22semidirect
151. C4×#4339C22semidirect
152. C4×#4339C22semidirect
154. C2×#66925C22semidirect
156. C2×C42×D11C22semidirect
157. C2×C42×D11C22semidirect
158. #10623001C22semidirect
490. C2×C4×D11#41semidirect
602. #3455D11semidirect
709. #542C2×D11semidirect
714. #541C2×D11semidirect
719. #540C2×D11semidirect
726. #539C2×D11semidirect
733. #538C2×D11semidirect
756. #533C2×D11semidirect
787. #529C2×D11semidirect
800. #525C2×D11semidirect
816. C4×#41C2×D11semidirect
828. C2×#117C2×D11semidirect
1304. C11#62686semidirect

Maximal subgroups

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

subgroupindex
#130820482
#130820462
#130820422
#130820362
#130820352
#130820312
#130820272
#130820242
#130820192
#130820062
#130820012
#130819992
#130819462
#130819432
#130819132
#130819112
#130819102
#130819082
C2×#106230532
C4×#41×D112
C11×#34552
#6268611