Finite Group Databasebeta

← #15644104

Subgroups — #15644104

Order 2816.

1772 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082417C211yesmaximal, characteristic, complemented
2#13081570C214yesmaximal, complemented
3#13081515C212yesmaximal, complemented
4#13081479C212yesmaximal, complemented
5#13081319C212yesmaximal, complemented
6#13081319C214yesmaximal, complemented
7#13081247C212yesmaximal, complemented
8#13079863C214yesmaximal, complemented
9#13079810C211yesmaximal, characteristic, complemented
10#13079748C211yesmaximal, characteristic, complemented
11#13078854C214yesmaximal, complemented
12#13078703C211yesmaximal, characteristic, complemented
13#13078612C211yesmaximal, characteristic, complemented
14#13077711C211yesmaximal, characteristic, complemented
15C11×#3548C211yesmaximal, characteristic, complemented
16C11×#562—22no—
17C11×#554C2212yescomplemented
18C11×#554C2212yescomplemented
19C11×#550C2212yescomplemented
20C11×#550C2212yescomplemented
21C11×#547—21no—
22C11×#547—21no—
23C11×#540C2214yes—
24C11×#537—22no—
25C11×#537—22no—
26C11×#533C2211yescharacteristic
27C11×#532C2211yescharacteristic
28C11×#532C2211yescharacteristic
29#10623261—21no—
30#10623258—21no—
31#10623221—22no—
32#10623165—22no—
33D11×C22⋊Q8—22no—
34#10623110C2212yes—
35#10623110C2214yes—
36Q8×D44C2212yes—
37#10623052C2212yes—
38#10623050C2212yes—
39C2×C4×D44C2211yescharacteristic
40#10623001C2211yescharacteristic
41#10622700C2212yes—
42#10622697C2212yes—
43#10622693C2212yescomplemented
44#10622692C2211yescharacteristic, complemented
45#10622691C2211yescharacteristic, complemented
46#10622685C2214yes—
47#10622685C2214yes—
48#10622685C2212yes—
49#10622685C2212yes—
50#10622684C2212yescomplemented
51#10622684C2214yescomplemented
52#10622683C2214yescomplemented
53#10622683C2211yescharacteristic, complemented
54#10622683C2211yescharacteristic, complemented
55#10622679C2214yes—
56#10622679C2214yes—
57#10622678C2214yescomplemented
58#10622677C2214yescomplemented
59#10622649C2212yes—
60#10622649C2212yes—
61#10622648C2214yes—
62#10622648C2214yes—
63#10622647C2212yes—
64#10622646C2212yes—
65#10622637C2212yescomplemented
66#10622637C2214yescomplemented
67Q8×C11⋊C8C2212yescomplemented
68#10622627C2214yes—
69#10622627C2214yes—
70#10622627C2214yes—
71C4×#4323C2214yes—
72C4×#4323C2214yes—
73C4×#4323C2212yes—
74C4×#4323C2212yes—
75#10622622C2214yescomplemented
76#10622622C2214yescomplemented
77#10622622C2214yescomplemented
78#10622621C2212yescomplemented
79#10622621C2214yescomplemented
80#10622620C2212yescomplemented
81#10622620C2214yescomplemented
82#10622613C2214yes—
83#10622539C2211yescharacteristic
84#10622538C2211yescharacteristic
85C2×C11×#41—22no—
86C2×C11×#41—22no—
87C2×C11×#41—21no—
88C2×C11×#41—21no—
89C2×Q8×D11—22no—
90C22×D44C2311yescharacteristic
91C22×C4×D11—21no—
92C11×C4⋊Q8D411yescharacteristic
93C11×C4⋊Q8D411yescharacteristic
94C11×C4⋊Q8C2311yescharacteristic
95C11×C4⋊Q8C2311yescharacteristic
96C11×#127C2311yescharacteristic
97C11×#127C2311yescharacteristic
98C11×#127C2314yes—
99C11×#125D412yes—
100C11×#125C2314yes—
101C11×#124—21no—
102C11×#124—21no—
103C11×#123—24no—
104C11×#123—24no—
105C11×C22⋊Q8—22no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—24no—
108C11×C22⋊Q8—24no—
109C11×C22⋊Q8D412yes—
110C11×C22⋊Q8D412yes—
111C11×#121—21no—
112C11×#121—21no—
113C11×#121—22no—
114C11×#121—22no—
115C11×#121—24no—
116C11×#121—24no—
117C11×#121—24no—
118C11×#121—24no—
119C11×#121C2312yes—
120C11×#121C2312yes—
121C4×Q8×C11C2312yes—
122C4×Q8×C11C2312yes—
123C4×D4×C11—21no—
124C4×D4×C11—21no—
125C4×D4×C11C2312yes—
126C4×D4×C11C2314yes—
127C4×D4×C11C2314yes—
128C4×D4×C11C2312yes—
129C11×#117C2312yes—
130C2×C11×C4⋊C4—22no—
131C2×C11×C4⋊C4—22no—
132C2×C42×C11C2311yescharacteristic
133#66999—22no—
134#66999—24no—
135C2×#4323C2312yes—
136C2×#4323C2314yes—
137C2×#4323C2312yes—
138C2×(C2×D11)⋊C4—21no—
139#66979C2312yes—
140C2×C4⋊Dic11C2311yescharacteristic
141#66977—21no—
142#66977—21no—
143#66950—22no—
144#66950—24no—
145#66949—24no—
146#66949—24no—
147#66949—24no—
148#66946—22no—
149#66946—22no—
150C4⋊C4×D11—22no—
151C4⋊C4×D11—24no—
152#66943—22no—
153#66941—22no—
154C22⋊C4×D11—24no—
155#66931—24no—
156C4×D44—21no—
157C4×D44—21no—
158C4×D44C2312yes—
159C4×D44C2312yes—
160C4×D44C2314yes—
161C4×D44C2314yes—
162#66923C2312yes—
163#66923C2314yes—
164#66922C2311yescharacteristic
165#66922C2311yescharacteristic
166#66922C2314yes—
167C4×Dic22—21no—
168C4×Dic22—21no—
169#66896C2314yes—
170#66896C2314yes—
171#66896C2314yes—
172#66896C2312yes—
173#66896C2314yes—
174#66896C2312yes—
175#66896C2314yes—
176C22⋊(C11⋊C8)C2312yes—
177C22⋊(C11⋊C8)C2312yes—
178#66873C2312yes—
179#66873C2314yes—
180#66873C2312yes—
181#66872C2314yes—
182#66872C2314yes—
183#66872C2314yes—
184#66871C2312yes—
185#66871C2314yes—
186#66871C2312yes—
187#66871C2314yes—
188C4⋊(C11⋊C8)C2312yes—
189C4⋊(C11⋊C8)C2312yes—
190C4⋊(C11⋊C8)C2314yes—
191C4⋊(C11⋊C8)C2314yes—
192#66867C2312yes—
193#66867C2314yes—
194C4×C11⋊C8C2311yescharacteristic
195C4×C11⋊C8C2311yescharacteristic
196C4×C11⋊C8C2314yes—
197#61847—111nomaximal, Sylow
198C23×D11—21no—
199C11×#41—82no—
200C11×#41—82no—
201C11×#41—84no—
202C11×#41—84no—
203C2×Q8×C11—21no—
204C2×Q8×C11—21no—
205C2×Q8×C11C2×D412yes—
206C2×Q8×C11C2×D412yes—
207C2×D4×C11—22no—
208C2×D4×C11—22no—
209C2×D4×C11—21no—
210C2×D4×C11—21no—
211C2×D4×C11—24no—
212C2×D4×C11—24no—
213C2×D4×C11—21no—
214C2×D4×C11—21no—
215C2×D4×C11C2412yes—
216C2×D4×C11C2412yes—
217C22×C4×C11—22no—
218C22×C4×C11—22no—
219C22×C4×C11—24no—
220C22×C4×C11—24no—
221C22×C4×C11C2×D411yescharacteristic
222C22×C4×C11C2×D411yescharacteristic
223C22×C4×C11C2411yescharacteristic
224C22×Dic11—21no—
225Q8×D11—84no—
226C2×D44—24no—
227C2×D44—21no—
228C2×D44C2412yes—
229C2×C4×D11—22no—
230C2×C4×D11—22no—
231C2×C4×D11—24no—
232C2×C4×D11—24no—
233C2×C4×D11—82no—
234C2×Dic22—21no—
235C2×Dic22—21no—
236C2×Dic22—24no—
237C11×C4⋊C4—21no—
238C11×C4⋊C4—21no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—24no—
241C11×C4⋊C4C2×D412yes—
242C11×C4⋊C4C2×D412yes—
243C11×C4⋊C4C2×D414yes—
244C11×C4⋊C4C2×D412yes—
245C11×C4⋊C4C2×D412yes—
246C11×C4⋊C4C2×D414yes—
247C11×C4⋊C4C2412yes—
248C11×C4⋊C4C2412yes—
249C11×C22⋊C4—22no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—24no—
252C11×C22⋊C4—24no—
253C11×C22⋊C4—22no—
254C11×C22⋊C4—22no—
255C11×C22⋊C4C2×D414yes—
256C42×C11C2×D411yescharacteristic
257C42×C11C2×D411yescharacteristic
258C42×C11C2411yescharacteristic
259C42×C11C2414yes—
260C42×C11C2411yescharacteristic
261C22⋊Dic11—22no—
262#4323—24no—
263#4323—28no—
264#4323—24no—
265(C2×D11)⋊C4—22no—
266(C2×D11)⋊C4—22no—
267(C2×D11)⋊C4—24no—
268(C2×D11)⋊C4—24no—
269C4⋊Dic11—21no—
270C4⋊Dic11—21no—
271C4⋊Dic11—24no—
272C4⋊Dic11—21no—
273C4⋊Dic11C2412yes—
274C4⋊Dic11C2412yes—
275C4⋊Dic11C2412yes—
276Dic11⋊C4—22no—
277Dic11⋊C4—22no—
278Dic11⋊C4—24no—
279Dic11⋊C4—24no—
280C4×Dic11—22no—
281C2×C11⋊C8C2412yes—
282C2×C11⋊C8C2412yes—
283C2×C11⋊C8C2414yes—
284#3548D1111yescharacteristic, complemented
285#3501—111no—
286#3389—114no—
287#3384—112no—
288#3380—112no—
289#3366—112no—
290#3366—114no—
291#3358—112no—
292#3241—114no—
293#3235—111no—
294#3228—111no—
295#3122—114no—
296#3109—111no—
297#3100—111no—
298#2985—111no—
299C23×C11—22no—
300C23×C11—22no—
301C23×C11C22×D411yescharacteristic
302C22×D11—22no—
303C22×D11—24no—
304C22×D11—81no—
305C22×D11—81no—
306Q8×C11—24no—
307Q8×C11—42no—
308Q8×C11—81no—
309Q8×C11—81no—
310D4×C11—22no—
311D4×C11—22no—
312D4×C11—24no—
313D4×C11—42no—
314D4×C11—42no—
315D4×C11—81no—
316D4×C11—84no—
317D4×C11—81no—
318D4×C11—84no—
319D4×C11—82no—
320D4×C11—82no—
321C2×C4×C11—22no—
322C2×C4×C11—22no—
323C2×C4×C11—22no—
324C2×C4×C11—22no—
325C2×C4×C11—41no—
326C2×C4×C11—44no—
327C2×C4×C11—44no—
328C2×C4×C11—84no—
329C2×C4×C11—84no—
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332C2×C4×C11C22×D411yescharacteristic
333C2×C4×C11C22×D414yes—
334C2×C4×C11C22×D414yes—
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C2×C4×C11C2511yescharacteristic
338C2×Dic11—22no—
339C2×Dic11—22no—
340C2×Dic11—22no—
341C2×Dic11—81no—
342D44—24no—
343D44—22no—
344D442−1+414yes—
345C4×D11—44no—
346C4×D11—84no—
347C4×D11—82no—
348C4×D11—84no—
349Dic22—42no—
350Dic22—81no—
351Dic22—84no—
352C11⋊C8—22no—
353C11⋊C8—22no—
354C11⋊C8—24no—
355#562—22no—
356#554—112no—
357#554—114no—
358#554—221no—
359#554—222no—
360#554C2×D1112yescomplemented
361#554C2×D1112yescomplemented
362#550C2×D1112yescomplemented
363#550C2×D1112yescomplemented
364D4×Q8—112no—
365D4×Q8—221no—
366#547—21no—
367#547—21no—
368#544—112no—
369#543—222no—
370#540C2×D1114yes—
371#537—22no—
372#537—22no—
373#533—111no—
374#533C2×D1111yescharacteristic
375#532C2×D1111yescharacteristic
376#532C2×D1111yescharacteristic
377C2×C22⋊Q8—222no—
378#518—112no—
379C2×C4×D4—111no—
380#501—112no—
381#501—114no—
382#500—111no—
383#499—114no—
384#498—111no—
385#490—112no—
386#490—114no—
387#486—111no—
388#486—114no—
389#486—111no—
390#482—114no—
391#482—114no—
392#481—112no—
393#480—112no—
394#478—114no—
395#478—114no—
396#478—114no—
397#478—114no—
398#478—114no—
399#476—112no—
400#476—112no—
401#476—114no—
402#474—112no—
403#474—112no—
404#474—114no—
405#459—112no—
406#459—112no—
407#459—114no—
408#459—114no—
409#447—112no—
410#447—112no—
411#446—112no—
412#446—114no—
413C8×Q8—112no—
414#442—114no—
415#442—114no—
416#442—114no—
417C4×D8—112no—
418C4×D8—112no—
419C4×D8—114no—
420C4×D8—114no—
421#433—114no—
422#432—111no—
423#431—111no—
424C22×C11—21no—
425C22×C11—21no—
426C22×C11—21no—
427C22×C11—42no—
428C22×C11—42no—
429C22×C11—42no—
430C22×C11—42no—
431C22×C11—42no—
432C22×C11—42no—
433C22×C11C23×D411yescharacteristic
434C2×D11—24no—
435C2×D11—42no—
436C2×D11—42no—
437C2×D11—84no—
438C4×C11—21no—
439C4×C11—21no—
440C4×C11—24no—
441C4×C11—21no—
442C4×C11—21no—
443C4×C11—24no—
444C4×C11—42no—
445C4×C11—42no—
446C4×C11#57612yes—
447C4×C11C2×2−1+412yes—
448Dic11—42no—
449Dic11—42no—
450Dic11—42no—
451C2×#41—22no—
452C2×#41—22no—
453C2×#41—21no—
454C2×#41—21no—
455C22×Q8—222no—
456C22×D4—111no—
457C23×C4—221no—
458C2×D8—112no—
459C2×D8—112no—
460C2×D8—114no—
461C4⋊Q8—111no—
462C4⋊Q8—111no—
463C4⋊Q8—114no—
464C4⋊Q8—222no—
465C4⋊Q8C22⋊D1111yescharacteristic
466C4⋊Q8C22⋊D1111yescharacteristic
467C4⋊Q8C22×D1111yescharacteristic
468C4⋊Q8C22×D1111yescharacteristic
469#127C22×D1111yescharacteristic
470#127C22×D1111yescharacteristic
471#127C22×D1114yes—
472#125—112no—
473#125—114no—
474#125—222no—
475#125C22⋊D1112yes—
476#125C22×D1114yes—
477#124—21no—
478#124—21no—
479#123—24no—
480#123—24no—
481C22⋊Q8—22no—
482C22⋊Q8—22no—
483C22⋊Q8—24no—
484C22⋊Q8—24no—
485C22⋊Q8—222no—
486C22⋊Q8—224no—
487C22⋊Q8—221no—
488C22⋊Q8—221no—
489C22⋊Q8—222no—
490C22⋊Q8—224no—
491C22⋊Q8—224no—
492C22⋊Q8—224no—
493C22⋊Q8—224no—
494C22⋊Q8—224no—
495C22⋊Q8C22⋊D1112yes—
496C22⋊Q8C22⋊D1112yes—
497#121—21no—
498#121—21no—
499#121—22no—
500#121—22no—
501#121—24no—
502#121—24no—
503#121—24no—
504#121—24no—
505#121C22×D1112yes—
506#121C22×D1112yes—
507C4×Q8—221no—
508C4×Q8—221no—
509C4×Q8C22×D1112yes—
510C4×Q8C22×D1112yes—
511C4×D4—21no—
512C4×D4—21no—
513C4×D4—112no—
514C4×D4—112no—
515C4×D4—114no—
516C4×D4—114no—
517C4×D4—222no—
518C4×D4—222no—
519C4×D4—221no—
520C4×D4—221no—
521C4×D4C22×D1112yes—
522C4×D4C22×D1112yes—
523C4×D4C22×D1114yes—
524C4×D4C22×D1114yes—
525#117—112no—
526#117C22×D1112yes—
527C2×C4⋊C4—22no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—111no—
530C2×C4⋊C4—224no—
531C2×C4⋊C4—222no—
532C2×C22⋊C4—221no—
533C2×C22⋊C4—224no—
534C2×C42C22×D1111yescharacteristic
535#107—112no—
536#107—114no—
537#107—112no—
538#107—114no—
539#106—114no—
540#106—114no—
541#106—114no—
542C4⋊C8—112no—
543C4⋊C8—112no—
544C4⋊C8—114no—
545C4⋊C8—114no—
546#102—114no—
547#102—112no—
548#102—114no—
549#102—112no—
550#102—114no—
551#102—114no—
552#102—114no—
553#102—112no—
554#102—112no—
555#102—114no—
556C22⋊C8—112no—
557C22⋊C8—112no—
558#97—112no—
559#97—114no—
560C4×C8—111no—
561C4×C8—111no—
562C4×C8—114no—
563C2×C11—41no—
564C2×C11—82no—
565C2×C11—82no—
566C2×C11#348611yescharacteristic
567C2×C11C2×#57611yescharacteristic
568C2×C11#358511yescharacteristic
569D11—44no—
570C24—221no—
571#41—82no—
572#41—82no—
573#41—84no—
574#41—84no—
575C2×Q8—21no—
576C2×Q8—21no—
577C2×Q8—221no—
578C2×Q8—221no—
579C2×Q8—224no—
580C2×Q8—884no—
581C2×Q8C2×C22⋊D1112yes—
582C2×Q8C2×C22⋊D1112yes—
583C2×D4—22no—
584C2×D4—22no—
585C2×D4—21no—
586C2×D4—21no—
587C2×D4—24no—
588C2×D4—24no—
589C2×D4—21no—
590C2×D4—21no—
591C2×D4—112no—
592C2×D4—224no—
593C2×D4—221no—
594C2×D4C23×D1112yes—
595C2×D4C23×D1112yes—
596C22×C4—22no—
597C22×C4—22no—
598C22×C4—24no—
599C22×C4—24no—
600C22×C4—221no—
601C22×C4—222no—
602C22×C4—224no—
603C22×C4—224no—
604C22×C4—222no—
605C22×C4—882no—
606C22×C4C2×C22⋊D1111yescharacteristic
607C22×C4C2×C22⋊D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609D8—224no—
610D8—224no—
611D8—228no—
612C2×C8—112no—
613C2×C8—112no—
614C2×C8—114no—
615C4⋊C4—21no—
616C4⋊C4—21no—
617C4⋊C4—24no—
618C4⋊C4—24no—
619C4⋊C4—112no—
620C4⋊C4—112no—
621C4⋊C4—112no—
622C4⋊C4—221no—
623C4⋊C4—222no—
624C4⋊C4—221no—
625C4⋊C4—224no—
626C4⋊C4—224no—
627C4⋊C4—224no—
628C4⋊C4—222no—
629C4⋊C4—221no—
630C4⋊C4C2×C22⋊D1112yes—
631C4⋊C4C2×C22⋊D1112yes—
632C4⋊C4C2×C22⋊D1114yes—
633C4⋊C4C2×C22⋊D1112yes—
634C4⋊C4C2×C22⋊D1112yes—
635C4⋊C4C2×C22⋊D1114yes—
636C4⋊C4C23×D1112yes—
637C4⋊C4C23×D1112yes—
638C22⋊C4—22no—
639C22⋊C4—22no—
640C22⋊C4—24no—
641C22⋊C4—24no—
642C22⋊C4—22no—
643C22⋊C4—22no—
644C22⋊C4—222no—
645C22⋊C4—224no—
646C22⋊C4—224no—
647C22⋊C4—222no—
648C22⋊C4—222no—
649C22⋊C4C2×C22⋊D1114yes—
650C42—222no—
651C42C2×C22⋊D1111yescharacteristic
652C42C2×C22⋊D1111yescharacteristic
653C42C23×D1111yescharacteristic
654C42C23×D1114yes—
655C42C23×D1111yescharacteristic
656C11#6184711yescharacteristic, complemented, Sylow
657C23—22no—
658C23—22no—
659C23—224no—
660C23—222no—
661C23—881no—
662C23—881no—
663C23C22×C22⋊D1111yescharacteristic
664Q8—24no—
665Q8—42no—
666Q8—81no—
667Q8—81no—
668Q8—442no—
669Q8—884no—
670Q8—881no—
671D4—22no—
672D4—24no—
673D4—22no—
674D4—42no—
675D4—42no—
676D4—81no—
677D4—84no—
678D4—81no—
679D4—84no—
680D4—82no—
681D4—82no—
682D4—114no—
683D4—224no—
684D4—222no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—41no—
690C2×C4—44no—
691C2×C4—44no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—222no—
695C2×C4—222no—
696C2×C4—222no—
697C2×C4—444no—
698C2×C4—882no—
699C2×C4—884no—
700C2×C4—884no—
701C2×C4—881no—
702C2×C4C22×C22⋊D1111yescharacteristic
703C2×C4C22×C22⋊D1111yescharacteristic
704C2×C4C22×C22⋊D1111yescharacteristic
705C2×C4C22×C22⋊D1111yescharacteristic
706C2×C4C22×C22⋊D1114yes—
707C2×C4C22×C22⋊D1114yes—
708C2×C4C22×C22⋊D1111yescharacteristic
709C2×C4C24×D1111yescharacteristic
710C8—222no—
711C8—222no—
712C8—224no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—224no—
723C22—442no—
724C22—442no—
725C22—884no—
726C22C23×C22⋊D1111yescharacteristic
727C4—21no—
728C4—21no—
729C4—24no—
730C4—21no—
731C4—21no—
732C4—24no—
733C4—42no—
734C4—42no—
735C4—442no—
736C4—442no—
737C4—442no—
738C4#1062336612yes—
739C4D11×2−1+412yes—
740C2—41no—
741C2—82no—
742C2—82no—
743C2—444no—
744C2#1308226411yescharacteristic
745C2C2×#1062336611yescharacteristic
746C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3548C2
socleC22×C11C23×D4
hypercenter#3548D11
hypocenterC11#61847
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3548

Complements

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

NH ≅ G/Ntype
1. #13082417C2semidirect
2. #13081570C2semidirect
3. #13081515C2semidirect
4. #13081479C2semidirect
5. #13081319C2semidirect
6. #13081319C2semidirect
7. #13081247C2semidirect
8. #13079863C2semidirect
9. #13079810C2semidirect
10. #13079748C2semidirect
11. #13078854C2semidirect
12. #13078703C2semidirect
13. #13078612C2semidirect
14. #13077711C2semidirect
15. C11×#3548C2semidirect
17. C11×#554C22semidirect
18. C11×#554C22semidirect
19. C11×#550C22semidirect
20. C11×#550C22semidirect
43. #10622693C22semidirect
44. #10622692C22semidirect
45. #10622691C22semidirect
50. #10622684C22semidirect
51. #10622684C22semidirect
52. #10622683C22semidirect
53. #10622683C22semidirect
54. #10622683C22semidirect
57. #10622678C22semidirect
58. #10622677C22semidirect
65. #10622637C22semidirect
66. #10622637C22semidirect
67. Q8×C11⋊C8C22semidirect
75. #10622622C22semidirect
76. #10622622C22semidirect
77. #10622622C22semidirect
78. #10622621C22semidirect
79. #10622621C22semidirect
80. #10622620C22semidirect
81. #10622620C22semidirect
284. #3548D11semidirect
360. #554C2×D11semidirect
361. #554C2×D11semidirect
362. #550C2×D11semidirect
363. #550C2×D11semidirect
656. C11#61847semidirect

Maximal subgroups

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

subgroupindex
#130824172
#130815702
#130815152
#130814792
#130813192
#130812472
#130798632
#130798102
#130797482
#130788542
#130787032
#130786122
#130777112
C11×#35482
#6184711