Finite Group Databasebeta

← #14916988

Subgroups — #14916988

Order 2816.

2486 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071782C212yesmaximal, complemented
2#13071773C212yesmaximal, complemented
3#13071612C214yesmaximal, complemented
4#13071589C212yesmaximal, complemented
5#13071556C212yesmaximal, complemented
6#13071476C212yesmaximal, complemented
7#13071446C212yesmaximal, complemented
8#13071383C212yesmaximal, complemented
9#13071374C212yesmaximal, complemented
10#13071277C214yesmaximal, complemented
11#13071259C212yesmaximal, complemented
12#13071249C212yesmaximal, complemented
13#13070999C211yesmaximal, characteristic, complemented
14C2×#10622824C211yesmaximal, characteristic, complemented
15C2×C11×#525C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C11×#525C4116yescomplemented
19C2×C11×#123C2212yes—
20C2×C11×C22⋊Q8C2211yescharacteristic
21C2×C11×C22⋊Q8C2211yescharacteristic
22C2×C11×#121C2211yescharacteristic
23C2×C11×#121C2211yescharacteristic
24C2×C11×#120C2212yes—
25C2×C4×D4×C11C2212yes—
26C2×C4×D4×C11C2212yes—
27C2×C11×#117C2211yescharacteristic
28C22×C22⋊Dic11C2212yes—
29C2×D4×Dic11C2214yes—
30C2×#66979C2212yes—
31#10622860C2212yes—
32#10622843C2214yescomplemented
33#10622834C2214yes—
34#10622834C2214yes—
35#10622833C2214yes—
36#10622833C2214yes—
37#10622833C2214yes—
38#10622833C2214yescomplemented
39#10622825C2212yes—
40#10622825C2212yes—
41#10622825C2212yescomplemented
42#10622824C2212yes—
43#10622824C2212yes—
44#10622824C2211yescharacteristic
45#10622824C2211yescharacteristic
46#10622824C2212yes—
47#10622824C2212yes—
48#10622824C2212yescomplemented
49C4×C22⋊Dic11C2212yes—
50C4×C22⋊Dic11C2211yescharacteristic
51C4×C22⋊Dic11C2211yescharacteristic
52C4×C22⋊Dic11C2212yescomplemented
53C2×C11⋊#95C2212yes—
54C2×C11⋊#95C2212yes—
55C2×C11⋊#95C2212yescomplemented
56#10622598C2214yescomplemented
57#10622594C2214yescomplemented
58#10622594C2214yescomplemented
59#10622594C2214yescomplemented
60#10622594C2214yescomplemented
61C4⋊C4×Dic11C2214yescomplemented
62#10622564C2214yes—
63#10622564C2214yes—
64#10622564C2214yes—
65#10622564C2214yes—
66#10622564C2214yescomplemented
67#10622564C2214yescomplemented
68#10622563C2214yes—
69#10622563C2214yescomplemented
70C22⋊C4×Dic11C2214yes—
71C22⋊C4×Dic11C2214yescomplemented
72#10622550C2212yescomplemented
73#10622549C2212yescomplemented
74C4×C4⋊Dic11C2212yescomplemented
75#10622545C2212yescomplemented
76C25×C11C2311yescharacteristic
77C2×C11×#41—44no—
78C2×C11×#41C2×C418yes—
79C22×Q8×C11C2311yescharacteristic
80C22×D4×C11C2312yes—
81C22×D4×C11C2312yes—
82C22×D4×C11C2312yes—
83C22×D4×C11C2311yescharacteristic
84C23×C4×C11—44no—
85C23×C4×C11C2×C418yescomplemented
86C23×C4×C11C2311yescharacteristic
87C23×C4×C11C2311yescharacteristic
88C23×C4×C11C2312yes—
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2311yescharacteristic
91C23×C4×C11C2311yescharacteristic
92C23×C4×C11C2311yescharacteristic
93C23×Dic11C2314yes—
94C23×Dic11C2314yes—
95C11×#123C2×C4116yescomplemented
96C11×C22⋊Q8C2×C418yescomplemented
97C11×C22⋊Q8C2×C418yescomplemented
98C11×#121C2×C418yescomplemented
99C11×#121C2×C418yescomplemented
100C11×#120C2×C4116yescomplemented
101C4×D4×C11C2×C4116yescomplemented
102C4×D4×C11C2×C4116yescomplemented
103C11×#117C2×C418yescomplemented
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2312yes—
108C2×C11×C22⋊C4C2312yes—
109C2×C11×C22⋊C4C2312yes—
110C2×C11×C22⋊C4C2312yes—
111C2×C11×C22⋊C4C2312yes—
112C2×C11×C22⋊C4C2312yes—
113C2×C42×C11C2312yes—
114C2×C22⋊Dic11—44no—
115C2×C22⋊Dic11C2314yes—
116C2×C22⋊Dic11C2314yes—
117C2×C22⋊Dic11C2314yes—
118C2×C22⋊Dic11C2314yes—
119C2×C22⋊Dic11C2312yes—
120C2×C22⋊Dic11C2314yes—
121C2×C22⋊Dic11C2312yes—
122C2×C22⋊Dic11C2312yes—
123C2×C22⋊Dic11C2314yes—
124C2×C22⋊Dic11C2312yes—
125D4×Dic11—48no—
126#66979—44no—
127C2×C4⋊Dic11C2314yes—
128C2×C4⋊Dic11C2314yes—
129C2×C4⋊Dic11C2314yes—
130C2×C4⋊Dic11C2314yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2314yes—
136C11⋊#95C2312yes—
137C11⋊#95C2312yes—
138C11⋊#95C2314yes—
139C11⋊#95C2312yes—
140C11⋊#95C2312yes—
141C11⋊#95C2314yes—
142C11⋊#95C2314yes—
143C11⋊#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2312yes—
146C11⋊#95C2314yes—
147C11⋊#95C2314yes—
148C11⋊#95C2312yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151#34396—111nomaximal, Sylow
152C24×C11—24no—
153C24×C11—42no—
154C24×C11—42no—
155C24×C11C22×C414yes—
156C24×C11C2411yescharacteristic
157C24×C11C2411yescharacteristic
158C24×C11C2412yes—
159C24×C11C2411yescharacteristic
160C11×#41—416no—
161C2×Q8×C11—42no—
162C2×Q8×C11C22×C414yes—
163C2×D4×C11—28no—
164C2×D4×C11—42no—
165C2×D4×C11—44no—
166C2×D4×C11—42no—
167C2×D4×C11—42no—
168C2×D4×C11C22×C418yes—
169C2×D4×C11C22×C418yes—
170C2×D4×C11C22×C418yes—
171C2×D4×C11C22×C414yes—
172C22×C4×C11—24no—
173C22×C4×C11—24no—
174C22×C4×C11—416no—
175C22×C4×C11—42no—
176C22×C4×C11—42no—
177C22×C4×C11—42no—
178C22×C4×C11—42no—
179C22×C4×C11—44no—
180C22×C4×C11C22×C414yes—
181C22×C4×C11C22×C414yes—
182C22×C4×C11C22×C414yes—
183C22×C4×C11C22×C414yes—
184C22×C4×C11C22×C418yes—
185C22×C4×C11C22×C414yes—
186C22×C4×C11C22×C414yes—
187C22×C4×C11C2411yescharacteristic
188C22×C4×C11C2411yescharacteristic
189C22×C4×C11C2411yescharacteristic
190C22×C4×C11C2412yes—
191C22×C4×C11C2412yes—
192C22×C4×C11C2412yes—
193C22×C4×C11C2411yescharacteristic
194C22×Dic11—28no—
195C22×Dic11—44no—
196C22×Dic11—44no—
197C22×Dic11—44no—
198C22×Dic11—44no—
199C22×Dic11—44no—
200C22×Dic11C2414yes—
201C22×Dic11C2414yes—
202C22×Dic11C2414yes—
203C22×Dic11C2414yes—
204C11×C4⋊C4C22×C414yes—
205C11×C4⋊C4C22×C414yes—
206C11×C4⋊C4C22×C418yes—
207C11×C4⋊C4C22×C418yes—
208C11×C22⋊C4C22×C418yes—
209C11×C22⋊C4C22×C418yes—
210C11×C22⋊C4C22×C418yes—
211C11×C22⋊C4C22×C418yes—
212C11×C22⋊C4C22×C418yes—
213C42×C11C22×C418yes—
214C22⋊Dic11—28no—
215C22⋊Dic11—44no—
216C22⋊Dic11—42no—
217C22⋊Dic11—44no—
218C22⋊Dic11—42no—
219C22⋊Dic11—44no—
220C22⋊Dic11—44no—
221C22⋊Dic11—42no—
222C22⋊Dic11—42no—
223C22⋊Dic11—44no—
224C4⋊Dic11—44no—
225C4⋊Dic11—44no—
226C4⋊Dic11—44no—
227C4⋊Dic11—44no—
228C4×Dic11—44no—
229C4×Dic11—44no—
230C4×Dic11—42no—
231C4×Dic11—42no—
232C4×Dic11—44no—
233C2×#525D1111yescharacteristic
234#2378—112no—
235#2377—112no—
236#2359—114no—
237#2357—112no—
238#2353—112no—
239#2343—112no—
240#2339—112no—
241#2333—112no—
242#2332—112no—
243#2321—114no—
244#2319—112no—
245#2318—112no—
246#2280—111no—
247C2×#381—111no—
248C23×C11—22no—
249C23×C11—22no—
250C23×C11—28no—
251C23×C11—22no—
252C23×C11—22no—
253C23×C11—24no—
254C23×C11—22no—
255C23×C11—22no—
256C23×C11—22no—
257C23×C11—24no—
258C23×C11—22no—
259C23×C11—22no—
260C23×C11—22no—
261C23×C11—44no—
262C23×C11—44no—
263C23×C11—416no—
264C23×C11C23×C412yes—
265C23×C11C23×C412yes—
266C23×C11C23×C414yes—
267C23×C11C23×C412yes—
268C23×C11H(5,𝔽2)14yes—
269C23×C11C2511yescharacteristic
270Q8×C11—44no—
271D4×C11—216no—
272D4×C11—48no—
273D4×C11—48no—
274D4×C11—44no—
275C2×C4×C11—28no—
276C2×C4×C11—28no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—24no—
284C2×C4×C11—22no—
285C2×C4×C11—44no—
286C2×C4×C11—44no—
287C2×C4×C11—44no—
288C2×C4×C11—44no—
289C2×C4×C11—48no—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C23×C414yes—
292C2×C4×C11C23×C414yes—
293C2×C4×C11C23×C412yes—
294C2×C4×C11C23×C412yes—
295C2×C4×C11C23×C414yes—
296C2×C4×C11C23×C412yes—
297C2×Dic11—24no—
298C2×Dic11—24no—
299C2×Dic11—24no—
300C2×Dic11—24no—
301C2×Dic11—24no—
302C2×Dic11—24no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—24no—
308C2×Dic11—24no—
309C2×Dic11—88no—
310C2×Dic11—88no—
311C22×#41C2×D1111yescharacteristic
312C24×C4C2×D1111yescharacteristic
313#525Dic11116yescomplemented
314C2×#123C2×D1112yes—
315C2×C22⋊Q8C2×D1111yescharacteristic
316C2×C22⋊Q8C2×D1111yescharacteristic
317C2×#121C2×D1111yescharacteristic
318C2×#121C2×D1111yescharacteristic
319C2×#120C2×D1112yes—
320C2×C4×D4—114no—
321C2×C4×D4C2×D1112yes—
322C2×C4×D4C2×D1112yes—
323C2×#117—112no—
324C2×#117C2×D1111yescharacteristic
325C22×C22⋊C4—112no—
326#391—114no—
327#390—114no—
328#390—114no—
329#389—114no—
330#388—114no—
331#388—114no—
332#388—114no—
333#388—114no—
334#388—114no—
335#388—114no—
336#387—114no—
337#387—114no—
338#387—114no—
339#387—114no—
340#386—114no—
341#386—114no—
342#386—114no—
343#386—114no—
344#385—114no—
345#385—114no—
346#383—112no—
347#382—112no—
348#381—111no—
349#381—111no—
350#381—112no—
351#381—112no—
352#381—112no—
353#381—112no—
354#381—112no—
355#380—112no—
356#380—112no—
357#380—112no—
358#379—112no—
359C4×C4⋊C4—114no—
360C4×C4⋊C4—112no—
361C4×C22⋊C4—112no—
362C4×C22⋊C4—112no—
363C4×C22⋊C4—111no—
364C4×C22⋊C4—111no—
365C4×C22⋊C4—114no—
366C4×C22⋊C4—114no—
367#376—112no—
368C2×#95—112no—
369C2×#95—112no—
370C2×#95—112no—
371C22×C11—22no—
372C22×C11—22no—
373C22×C11—28no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—24no—
377C22×C11—22no—
378C22×C11—22no—
379C22×C11—24no—
380C22×C11—24no—
381C22×C11—22no—
382C22×C11—22no—
383C22×C11—416no—
384C22×C11—44no—
385C22×C11—44no—
386C22×C11—44no—
387C22×C11—44no—
388C22×C11#51814yes—
389C22×C11C24×C411yescharacteristic
390C22×C11C2×H(5,𝔽2)12yes—
391C22×C11#58512yes—
392C22×C11#58512yes—
393C4×C11—22no—
394C4×C11—22no—
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—24no—
398C4×C11—24no—
399C4×C11—24no—
400Dic11—44no—
401Dic11—44no—
402Dic11—44no—
403Dic11—44no—
404C25C22×D1111yescharacteristic
405C2×#41—44no—
406C2×#41C2×Dic1118yes—
407C22×Q8C22×D1111yescharacteristic
408C22×D4C22×D1112yes—
409C22×D4C22×D1112yes—
410C22×D4C22×D1112yes—
411C22×D4C22×D1111yescharacteristic
412C23×C4—44no—
413C23×C4—114no—
414C23×C4—114no—
415C23×C4C2×Dic1118yescomplemented
416C23×C4C22×D1111yescharacteristic
417C23×C4C22×D1111yescharacteristic
418C23×C4C22×D1111yescharacteristic
419C23×C4C22×D1111yescharacteristic
420C23×C4C22×D1112yes—
421C23×C4C22×D1111yescharacteristic
422C23×C4C22×D1111yescharacteristic
423#123C2×Dic11116yescomplemented
424C22⋊Q8C2×Dic1118yescomplemented
425C22⋊Q8C2×Dic1118yescomplemented
426#121C2×Dic1118yescomplemented
427#121C2×Dic1118yescomplemented
428#120C2×Dic11116yescomplemented
429C4×D4—448no—
430C4×D4C2×Dic11116yescomplemented
431C4×D4C2×Dic11116yescomplemented
432#117—444no—
433#117C2×Dic1118yescomplemented
434C2×C4⋊C4—114no—
435C2×C4⋊C4—114no—
436C2×C4⋊C4—114no—
437C2×C4⋊C4—114no—
438C2×C4⋊C4C22×D1111yescharacteristic
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C4⋊C4C22×D1112yes—
441C2×C4⋊C4C22×D1112yes—
442C2×C22⋊C4—114no—
443C2×C22⋊C4—112no—
444C2×C22⋊C4—114no—
445C2×C22⋊C4—112no—
446C2×C22⋊C4—114no—
447C2×C22⋊C4—112no—
448C2×C22⋊C4—114no—
449C2×C22⋊C4—112no—
450C2×C22⋊C4—114no—
451C2×C22⋊C4—114no—
452C2×C22⋊C4—444no—
453C2×C22⋊C4C22×D1112yes—
454C2×C22⋊C4C22×D1112yes—
455C2×C22⋊C4C22×D1112yes—
456C2×C22⋊C4C22×D1112yes—
457C2×C22⋊C4C22×D1112yes—
458C2×C42—112no—
459C2×C42—112no—
460C2×C42—114no—
461C2×C42—114no—
462C2×C42—114no—
463C2×C42C22×D1112yes—
464#95—112no—
465#95—112no—
466#95—112no—
467#95—114no—
468#95—112no—
469#95—114no—
470#95—112no—
471#95—114no—
472#95—114no—
473#95—112no—
474#95—114no—
475#95—114no—
476#95—114no—
477#95—114no—
478#95—114no—
479C2×C11—24no—
480C2×C11—44no—
481C2×C11—42no—
482C2×C11—42no—
483C2×C11C2×#51811yescharacteristic
484C2×C11#342811yescharacteristic
485C2×C11#342811yescharacteristic
486C2×C11#353314yes—
487C24—24no—
488C24—42no—
489C24—42no—
490C24C22×Dic1114yes—
491C24C23×D1111yescharacteristic
492C24C23×D1111yescharacteristic
493C24C23×D1112yes—
494C24C23×D1111yescharacteristic
495#41—416no—
496C2×Q8—42no—
497C2×Q8C22×Dic1114yes—
498C2×D4—28no—
499C2×D4—42no—
500C2×D4—42no—
501C2×D4—44no—
502C2×D4—42no—
503C2×D4C22×Dic1118yes—
504C2×D4C22×Dic1118yes—
505C2×D4C22×Dic1118yes—
506C2×D4C22×Dic1114yes—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—416no—
514C22×C4—44no—
515C22×C4—114no—
516C22×C4—114no—
517C22×C4—114no—
518C22×C4—114no—
519C22×C4—228no—
520C22×C4—444no—
521C22×C4—444no—
522C22×C4—444no—
523C22×C4—444no—
524C22×C4—444no—
525C22×C4C22×Dic1114yes—
526C22×C4C22×Dic1114yes—
527C22×C4C22×Dic1114yes—
528C22×C4C22×Dic1114yes—
529C22×C4C22×Dic1118yes—
530C22×C4C22×Dic1114yes—
531C22×C4C22×Dic1114yes—
532C22×C4C23×D1111yescharacteristic
533C22×C4C23×D1111yescharacteristic
534C22×C4C23×D1111yescharacteristic
535C22×C4C23×D1112yes—
536C22×C4C23×D1112yes—
537C22×C4C23×D1112yes—
538C22×C4C23×D1111yescharacteristic
539C4⋊C4—444no—
540C4⋊C4—444no—
541C4⋊C4—444no—
542C4⋊C4—444no—
543C4⋊C4C22×Dic1114yes—
544C4⋊C4C22×Dic1114yes—
545C4⋊C4C22×Dic1118yes—
546C4⋊C4C22×Dic1118yes—
547C22⋊C4—228no—
548C22⋊C4—442no—
549C22⋊C4—444no—
550C22⋊C4—442no—
551C22⋊C4—444no—
552C22⋊C4—444no—
553C22⋊C4—442no—
554C22⋊C4—444no—
555C22⋊C4—442no—
556C22⋊C4—444no—
557C22⋊C4C22×Dic1118yes—
558C22⋊C4C22×Dic1118yes—
559C22⋊C4C22×Dic1118yes—
560C22⋊C4C22×Dic1118yes—
561C22⋊C4C22×Dic1118yes—
562C42—442no—
563C42—442no—
564C42—444no—
565C42—444no—
566C42—444no—
567C42C22×Dic1118yes—
568C11#3439611yescharacteristic, complemented, Sylow
569C23—22no—
570C23—22no—
571C23—28no—
572C23—22no—
573C23—22no—
574C23—24no—
575C23—22no—
576C23—22no—
577C23—22no—
578C23—24no—
579C23—22no—
580C23—22no—
581C23—22no—
582C23—44no—
583C23—44no—
584C23—416no—
585C23#6703714yes—
586C23C23×Dic1112yes—
587C23C23×Dic1112yes—
588C23C23×Dic1114yes—
589C23C23×Dic1112yes—
590C23C24×D1111yescharacteristic
591Q8—44no—
592D4—216no—
593D4—48no—
594D4—48no—
595D4—44no—
596C2×C4—28no—
597C2×C4—28no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—24no—
605C2×C4—22no—
606C2×C4—44no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—44no—
610C2×C4—48no—
611C2×C4—224no—
612C2×C4—224no—
613C2×C4—224no—
614C2×C4—224no—
615C2×C4—224no—
616C2×C4—224no—
617C2×C4—224no—
618C2×C4—224no—
619C2×C4—224no—
620C2×C4—224no—
621C2×C4—224no—
622C2×C4—224no—
623C2×C4—888no—
624C2×C4—888no—
625C2×C4C23×Dic1112yes—
626C2×C4C23×Dic1114yes—
627C2×C4C23×Dic1114yes—
628C2×C4C23×Dic1112yes—
629C2×C4C23×Dic1112yes—
630C2×C4C23×Dic1114yes—
631C2×C4C23×Dic1112yes—
632C22—28no—
633C22—22no—
634C22—22no—
635C22—22no—
636C22—22no—
637C22—24no—
638C22—22no—
639C22—22no—
640C22—24no—
641C22—24no—
642C22—22no—
643C22—22no—
644C22—416no—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22#1062332914yes—
650C22C2×#6703712yes—
651C22#1062345312yes—
652C22#1062345312yes—
653C22C24×Dic1111yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—22no—
658C4—24no—
659C4—24no—
660C4—24no—
661C4—444no—
662C4—444no—
663C4—444no—
664C4—444no—
665C2—24no—
666C2—42no—
667C2—42no—
668C2—44no—
669C2C2×#1062332911yescharacteristic
670C2#1308181911yescharacteristic
671C2#1308181911yescharacteristic
672C2#1308278014yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#525C2
socle, cosocleC23×C11C25
hypercenterC2×#525D11
hypocenterC11#34396
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. #13071782C2semidirect
2. #13071773C2semidirect
3. #13071612C2semidirect
4. #13071589C2semidirect
5. #13071556C2semidirect
6. #13071476C2semidirect
7. #13071446C2semidirect
8. #13071383C2semidirect
9. #13071374C2semidirect
10. #13071277C2semidirect
11. #13071259C2semidirect
12. #13071249C2semidirect
13. #13070999C2semidirect
14. C2×#10622824C2semidirect
18. C11×#525C4semidirect
32. #10622843C22semidirect
38. #10622833C22semidirect
41. #10622825C22semidirect
48. #10622824C22semidirect
52. C4×C22⋊Dic11C22semidirect
55. C2×C11⋊#95C22semidirect
56. #10622598C22semidirect
57. #10622594C22semidirect
58. #10622594C22semidirect
59. #10622594C22semidirect
60. #10622594C22semidirect
61. C4⋊C4×Dic11C22semidirect
66. #10622564C22semidirect
67. #10622564C22semidirect
69. #10622563C22semidirect
71. C22⋊C4×Dic11C22semidirect
72. #10622550C22semidirect
73. #10622549C22semidirect
74. C4×C4⋊Dic11C22semidirect
75. #10622545C22semidirect
85. C23×C4×C11C2×C4semidirect
95. C11×#123C2×C4semidirect
96. C11×C22⋊Q8C2×C4semidirect
97. C11×C22⋊Q8C2×C4semidirect
98. C11×#121C2×C4semidirect
99. C11×#121C2×C4semidirect
100. C11×#120C2×C4semidirect
101. C4×D4×C11C2×C4semidirect
102. C4×D4×C11C2×C4semidirect
103. C11×#117C2×C4semidirect
313. #525Dic11semidirect
415. C23×C4C2×Dic11semidirect
423. #123C2×Dic11semidirect
424. C22⋊Q8C2×Dic11semidirect
425. C22⋊Q8C2×Dic11semidirect
426. #121C2×Dic11semidirect
427. #121C2×Dic11semidirect
428. #120C2×Dic11semidirect
430. C4×D4C2×Dic11semidirect
431. C4×D4C2×Dic11semidirect
433. #117C2×Dic11semidirect
568. C11#34396semidirect

Maximal subgroups

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

subgroupindex
#130717822
#130717732
#130716122
#130715892
#130715562
#130714762
#130714462
#130713832
#130713742
#130712772
#130712592
#130712492
#130709992
C2×#106228242
C2×C11×#5252
#3439611