Finite Group Databasebeta

← #15644111

Subgroups — #15644111

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#13083016C211yesmaximal, characteristic, complemented
2#13081570C214yesmaximal, complemented
3#13081511C212yesmaximal, complemented
4#13081479C212yesmaximal, complemented
5#13081323C212yesmaximal, complemented
6#13081323C214yesmaximal, complemented
7#13081251C212yesmaximal, complemented
8#13079869C214yesmaximal, complemented
9#13079814C211yesmaximal, characteristic, complemented
10#13079752C211yesmaximal, characteristic, complemented
11#13078859C214yesmaximal, complemented
12#13078707C211yesmaximal, characteristic, complemented
13#13078616C211yesmaximal, characteristic, complemented
14#13077711C211yesmaximal, characteristic, complemented
15C11×#3501C211yesmaximal, characteristic, complemented
16C11×#554—21no—
17C11×#554—22no—
18C11×#554C2212yes—
19C11×#554C2214yes—
20D4×Q8×C11—21no—
21D4×Q8×C11C2212yes—
22C11×#544C2212yes—
23C11×#543—22no—
24C11×#533C2211yescharacteristic
25C11×#533C2211yescharacteristic
26C2×C11×C22⋊Q8—22no—
27C11×#518C2212yes—
28C2×C4×D4×C11C2211yescharacteristic
29#10623257—21no—
30#10623257—21no—
31#10623231—22no—
32#10623160—22no—
33#10623160—22no—
34#10623110C2212yescomplemented
35#10623110C2212yescomplemented
36#10623108C2212yescomplemented
37#10623108C2212yescomplemented
38#10623066C2214yes—
39#10623008C2211yescharacteristic
40#10623008C2211yescharacteristic
41#10622830C2212yes—
42#10622830C2212yes—
43#10622701C2214yescomplemented
44#10622701C2211yescharacteristic, complemented
45#10622701C2211yescharacteristic, complemented
46#10622700C2212yescomplemented
47#10622700C2214yescomplemented
48#10622697C2212yescomplemented
49#10622697C2214yescomplemented
50#10622693C2214yescomplemented
51#10622692C2211yescharacteristic, complemented
52#10622691C2211yescharacteristic, complemented
53#10622680C2212yescomplemented
54#10622680C2214yescomplemented
55#10622679C2214yescomplemented
56#10622679C2214yescomplemented
57#10622679C2214yescomplemented
58#10622678C2212yescomplemented
59#10622677C2214yescomplemented
60#10622637C2212yescomplemented
61#10622637C2214yescomplemented
62Q8×C11⋊C8C2212yescomplemented
63#10622628C2214yes—
64#10622628C2214yes—
65#10622628C2212yes—
66#10622628C2212yes—
67#10622627C2214yes—
68#10622627C2214yes—
69#10622627C2214yes—
70C4×#4323C2214yes—
71C4×#4323C2214yes—
72C4×#4323C2212yes—
73C4×#4323C2212yes—
74#10622622C2214yes—
75#10622622C2214yes—
76#10622621C2212yes—
77#10622620C2212yes—
78#10622616C2214yes—
79#10622616C2214yes—
80#10622613C2214yes—
81#10622581C2212yes—
82#10622580C2212yes—
83#10622539C2211yescharacteristic
84#10622538C2211yescharacteristic
85C22×Q8×C11—22no—
86C22×D4×C11C2311yescharacteristic
87C23×C4×C11—21no—
88C2×#4343—22no—
89C2×#4343—22no—
90C2×#4339—21no—
91C2×#4339—21no—
92C11×C4⋊Q8—22no—
93C11×C4⋊Q8D411yescharacteristic
94C11×C4⋊Q8D411yescharacteristic
95C11×C4⋊Q8C2311yescharacteristic
96C11×C4⋊Q8C2311yescharacteristic
97C11×C4⋊Q8C2314yes—
98C11×#125—22no—
99C11×#125D412yes—
100C11×#125C2312yes—
101C11×#125C2314yes—
102C11×C22⋊Q8—22no—
103C11×C22⋊Q8—24no—
104C11×C22⋊Q8—21no—
105C11×C22⋊Q8—21no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—24no—
108C11×C22⋊Q8—24no—
109C11×C22⋊Q8—24no—
110C11×C22⋊Q8—24no—
111C11×C22⋊Q8—24no—
112C11×C22⋊Q8D412yes—
113C11×C22⋊Q8D412yes—
114C4×Q8×C11—21no—
115C4×Q8×C11—21no—
116C4×Q8×C11C2312yes—
117C4×Q8×C11C2312yes—
118C4×D4×C11—22no—
119C4×D4×C11—22no—
120C4×D4×C11—21no—
121C4×D4×C11—21no—
122C4×D4×C11C2312yes—
123C4×D4×C11C2312yes—
124C4×D4×C11C2314yes—
125C4×D4×C11C2314yes—
126C11×#117C2312yes—
127C11×#117C2312yes—
128C2×C11×C4⋊C4—24no—
129C2×C11×C4⋊C4—22no—
130C2×C11×C4⋊C4C2311yescharacteristic
131C2×C11×C22⋊C4—21no—
132C2×C11×C22⋊C4—24no—
133C2×C42×C11C2311yescharacteristic
134#66999—22no—
135#66999—22no—
136C2×#4323C2312yes—
137C2×#4323C2312yes—
138C2×#4323C2314yes—
139#66983—21no—
140#66983—21no—
141#66983C2312yes—
142#66983C2312yes—
143#66949—24no—
144#66949—24no—
145#66948—22no—
146#66948—22no—
147#66948—24no—
148#66948—24no—
149#66947—24no—
150#66947—24no—
151C4⋊C4×D11—22no—
152C4⋊C4×D11—22no—
153#66937—24no—
154#66937—24no—
155#66928—21no—
156#66928—21no—
157#66927C2311yescharacteristic
158#66927C2311yescharacteristic
159#66927C2314yes—
160C4×D44—21no—
161C4×D44—21no—
162C4×D44C2312yes—
163C4×D44C2312yes—
164C4×D44C2314yes—
165C4×D44C2314yes—
166#66923C2314yes—
167#66922C2311yescharacteristic
168#66922C2311yescharacteristic
169#66896C2312yes—
170#66896C2312yes—
171#66896C2314yes—
172C22⋊(C11⋊C8)C2312yes—
173C22⋊(C11⋊C8)C2312yes—
174#66873C2312yes—
175#66873C2312yes—
176#66873C2314yes—
177#66873C2314yes—
178#66873C2314yes—
179#66873C2314yes—
180#66873C2314yes—
181#66872C2314yes—
182#66872C2314yes—
183#66872C2314yes—
184#66871C2312yes—
185#66871C2312yes—
186#66871C2314yes—
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
198C24×C11—21no—
199C2×Q8×C11—21no—
200C2×Q8×C11—21no—
201C2×Q8×C11—24no—
202C2×Q8×C11—84no—
203C2×Q8×C11C2×D412yes—
204C2×Q8×C11C2×D412yes—
205C2×D4×C11—24no—
206C2×D4×C11—21no—
207C2×D4×C11C2412yes—
208C22×C4×C11—21no—
209C22×C4×C11—22no—
210C22×C4×C11—24no—
211C22×C4×C11—24no—
212C22×C4×C11—22no—
213C22×C4×C11—82no—
214C22×C4×C11C2×D411yescharacteristic
215C22×C4×C11C2×D411yescharacteristic
216C22×C4×C11C2411yescharacteristic
217C2×C22⋊D11—22no—
218C2×C22⋊D11—22no—
219#4343—84no—
220#4343—84no—
221#4339—82no—
222#4339—82no—
223C2×D44—21no—
224C2×D44—21no—
225C2×D44—21no—
226C2×D44—21no—
227C2×D44—24no—
228C2×D44—24no—
229C2×D44C2412yes—
230C2×D44C2412yes—
231C2×C4×D11—22no—
232C2×C4×D11—22no—
233C2×C4×D11—24no—
234C2×C4×D11—24no—
235C2×Dic22—21no—
236C2×Dic22—21no—
237C11×C4⋊C4—22no—
238C11×C4⋊C4—21no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—24no—
241C11×C4⋊C4—24no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—22no—
244C11×C4⋊C4—21no—
245C11×C4⋊C4C2×D412yes—
246C11×C4⋊C4C2×D412yes—
247C11×C4⋊C4C2×D412yes—
248C11×C4⋊C4C2×D412yes—
249C11×C4⋊C4C2×D414yes—
250C11×C4⋊C4C2×D414yes—
251C11×C4⋊C4C2412yes—
252C11×C4⋊C4C2412yes—
253C11×C4⋊C4C2412yes—
254C11×C22⋊C4—22no—
255C11×C22⋊C4—24no—
256C11×C22⋊C4—24no—
257C11×C22⋊C4—22no—
258C11×C22⋊C4—22no—
259C11×C22⋊C4C2×D414yes—
260C42×C11—22no—
261C42×C11C2×D411yescharacteristic
262C42×C11C2×D411yescharacteristic
263C42×C11C2411yescharacteristic
264C42×C11C2414yes—
265C42×C11C2411yescharacteristic
266#4323—24no—
267#4323—24no—
268#4323—28no—
269(C2×D11)⋊C4—22no—
270(C2×D11)⋊C4—22no—
271(C2×D11)⋊C4—22no—
272(C2×D11)⋊C4—22no—
273(C2×D11)⋊C4—24no—
274(C2×D11)⋊C4—24no—
275C4⋊Dic11—21no—
276C4⋊Dic11—21no—
277C4⋊Dic11C2412yes—
278C4⋊Dic11C2412yes—
279Dic11⋊C4—24no—
280Dic11⋊C4—24no—
281C2×C11⋊C8C2412yes—
282C2×C11⋊C8C2412yes—
283C2×C11⋊C8C2414yes—
284#3548—111no—
285#3501D1111yescharacteristic, complemented
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—24no—
300C23×C11—22no—
301C23×C11—81no—
302C23×C11—81no—
303C23×C11C22×D411yescharacteristic
304C22×D11—22no—
305C22×D11—22no—
306Q8×C11—24no—
307Q8×C11—42no—
308Q8×C11—42no—
309Q8×C11—81no—
310Q8×C11—84no—
311D4×C11—24no—
312D4×C11—22no—
313D4×C112−1+414yes—
314C2×C4×C11—22no—
315C2×C4×C11—22no—
316C2×C4×C11—22no—
317C2×C4×C11—22no—
318C2×C4×C11—22no—
319C2×C4×C11—41no—
320C2×C4×C11—44no—
321C2×C4×C11—84no—
322C2×C4×C11—82no—
323C2×C4×C11—84no—
324C2×C4×C11—81no—
325C2×C4×C11C22×D414yes—
326C2×C4×C11C22×D414yes—
327C2×C4×C11C22×D411yescharacteristic
328C2×C4×C11C22×D411yescharacteristic
329C2×C4×C11C22×D411yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332C2×C4×C11C2511yescharacteristic
333C22⋊D11—82no—
334C22⋊D11—82no—
335C2×Dic11—22no—
336C2×Dic11—22no—
337D44—22no—
338D44—22no—
339D44—24no—
340D44—42no—
341D44—42no—
342D44—81no—
343D44—81no—
344D44—84no—
345D44—84no—
346C4×D11—44no—
347C4×D11—44no—
348C4×D11—84no—
349C4×D11—84no—
350Dic22—81no—
351Dic22—81no—
352C11⋊C8—22no—
353C11⋊C8—22no—
354C11⋊C8—24no—
355#562—222no—
356#554—21no—
357#554—22no—
358#554—112no—
359#554—112no—
360#554C2×D1112yes—
361#554C2×D1114yes—
362#550—112no—
363#550—112no—
364D4×Q8—21no—
365D4×Q8C2×D1112yes—
366#547—221no—
367#547—221no—
368#544C2×D1112yes—
369#543—22no—
370#540—114no—
371#537—222no—
372#537—222no—
373#533C2×D1111yescharacteristic
374#533C2×D1111yescharacteristic
375#532—111no—
376#532—111no—
377C2×C22⋊Q8—22no—
378#518C2×D1112yes—
379C2×C4×D4C2×D1111yescharacteristic
380#501—114no—
381#501—112no—
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—114no—
401#476—112no—
402#474—112no—
403#474—114no—
404#474—112no—
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—24no—
427C22×C11—21no—
428C22×C11—42no—
429C22×C11—42no—
430C22×C11—84no—
431C22×C11C23×D411yescharacteristic
432C2×D11—42no—
433C2×D11—42no—
434C2×D11—42no—
435C2×D11—42no—
436C2×D11—42no—
437C2×D11—42no—
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—42no—
447C4×C11#57612yes—
448C4×C11C2×2−1+412yes—
449Dic11—42no—
450Dic11—42no—
451C2×#41—222no—
452C2×#41—222no—
453C2×#41—221no—
454C2×#41—221no—
455C22×Q8—22no—
456C22×D4C22×D1111yescharacteristic
457C23×C4—21no—
458C2×D8—112no—
459C2×D8—112no—
460C2×D8—114no—
461C4⋊Q8—22no—
462C4⋊Q8—111no—
463C4⋊Q8—111no—
464C4⋊Q8C22⋊D1111yescharacteristic
465C4⋊Q8C22⋊D1111yescharacteristic
466C4⋊Q8C22×D1111yescharacteristic
467C4⋊Q8C22×D1111yescharacteristic
468C4⋊Q8C22×D1114yes—
469#127—111no—
470#127—111no—
471#127—114no—
472#125—22no—
473#125—114no—
474#125C22⋊D1112yes—
475#125C22×D1112yes—
476#125C22×D1114yes—
477#124—221no—
478#124—221no—
479#123—224no—
480#123—224no—
481C22⋊Q8—22no—
482C22⋊Q8—24no—
483C22⋊Q8—21no—
484C22⋊Q8—21no—
485C22⋊Q8—22no—
486C22⋊Q8—24no—
487C22⋊Q8—24no—
488C22⋊Q8—24no—
489C22⋊Q8—24no—
490C22⋊Q8—24no—
491C22⋊Q8—222no—
492C22⋊Q8—222no—
493C22⋊Q8—224no—
494C22⋊Q8—224no—
495C22⋊Q8C22⋊D1112yes—
496C22⋊Q8C22⋊D1112yes—
497#121—112no—
498#121—112no—
499#121—221no—
500#121—221no—
501#121—222no—
502#121—222no—
503#121—224no—
504#121—224no—
505#121—224no—
506#121—224no—
507C4×Q8—21no—
508C4×Q8—21no—
509C4×Q8C22×D1112yes—
510C4×Q8C22×D1112yes—
511C4×D4—22no—
512C4×D4—22no—
513C4×D4—21no—
514C4×D4—21no—
515C4×D4—112no—
516C4×D4—112no—
517C4×D4—114no—
518C4×D4—114no—
519C4×D4—221no—
520C4×D4—221no—
521C4×D4C22×D1112yes—
522C4×D4C22×D1112yes—
523C4×D4C22×D1114yes—
524C4×D4C22×D1114yes—
525#117C22×D1112yes—
526#117C22×D1112yes—
527C2×C4⋊C4—24no—
528C2×C4⋊C4—22no—
529C2×C4⋊C4—222no—
530C2×C4⋊C4—222no—
531C2×C4⋊C4C22×D1111yescharacteristic
532C2×C22⋊C4—21no—
533C2×C22⋊C4—24no—
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—112no—
547#102—112no—
548#102—114no—
549#102—114no—
550#102—112no—
551#102—114no—
552#102—112no—
553#102—114no—
554#102—114no—
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—44no—
565C2×C11#348611yescharacteristic
566C2×C11C2×#57611yescharacteristic
567C2×C11#358511yescharacteristic
568D11—82no—
569D11—82no—
570C24—21no—
571#41—882no—
572#41—882no—
573#41—884no—
574#41—884no—
575C2×Q8—21no—
576C2×Q8—21no—
577C2×Q8—24no—
578C2×Q8—84no—
579C2×Q8—221no—
580C2×Q8—221no—
581C2×Q8C2×C22⋊D1112yes—
582C2×Q8C2×C22⋊D1112yes—
583C2×D4—24no—
584C2×D4—21no—
585C2×D4—112no—
586C2×D4—112no—
587C2×D4—222no—
588C2×D4—222no—
589C2×D4—221no—
590C2×D4—221no—
591C2×D4—224no—
592C2×D4—224no—
593C2×D4—221no—
594C2×D4—221no—
595C2×D4C23×D1112yes—
596C22×C4—21no—
597C22×C4—22no—
598C22×C4—24no—
599C22×C4—24no—
600C22×C4—22no—
601C22×C4—82no—
602C22×C4—222no—
603C22×C4—222no—
604C22×C4—224no—
605C22×C4—224no—
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—22no—
616C4⋊C4—21no—
617C4⋊C4—24no—
618C4⋊C4—24no—
619C4⋊C4—24no—
620C4⋊C4—21no—
621C4⋊C4—22no—
622C4⋊C4—21no—
623C4⋊C4—112no—
624C4⋊C4—112no—
625C4⋊C4—221no—
626C4⋊C4—221no—
627C4⋊C4—224no—
628C4⋊C4—224no—
629C4⋊C4C2×C22⋊D1112yes—
630C4⋊C4C2×C22⋊D1114yes—
631C4⋊C4C2×C22⋊D1112yes—
632C4⋊C4C2×C22⋊D1112yes—
633C4⋊C4C2×C22⋊D1112yes—
634C4⋊C4C2×C22⋊D1114yes—
635C4⋊C4C23×D1112yes—
636C4⋊C4C23×D1112yes—
637C4⋊C4C23×D1112yes—
638C22⋊C4—22no—
639C22⋊C4—24no—
640C22⋊C4—24no—
641C22⋊C4—22no—
642C22⋊C4—22no—
643C22⋊C4—224no—
644C22⋊C4—224no—
645C22⋊C4—222no—
646C22⋊C4—222no—
647C22⋊C4—222no—
648C22⋊C4—222no—
649C22⋊C4C2×C22⋊D1114yes—
650C42—22no—
651C42C2×C22⋊D1111yescharacteristic
652C42C2×C22⋊D1111yescharacteristic
653C42C23×D1111yescharacteristic
654C42C23×D1114yes—
655C42C23×D1111yescharacteristic
656C11#6184711yescharacteristic, complemented, Sylow
657C23—24no—
658C23—22no—
659C23—81no—
660C23—81no—
661C23—222no—
662C23—222no—
663C23C22×C22⋊D1111yescharacteristic
664Q8—24no—
665Q8—42no—
666Q8—42no—
667Q8—81no—
668Q8—84no—
669Q8—881no—
670Q8—881no—
671D4—24no—
672D4—22no—
673D4—222no—
674D4—224no—
675D4—222no—
676D4—442no—
677D4—442no—
678D4—881no—
679D4—884no—
680D4—881no—
681D4—884no—
682D4—882no—
683D4—882no—
684D4#6704014yes—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—84no—
693C2×C4—82no—
694C2×C4—84no—
695C2×C4—81no—
696C2×C4—222no—
697C2×C4—222no—
698C2×C4—444no—
699C2×C4—444no—
700C2×C4—884no—
701C2×C4—884no—
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—24no—
716C22—21no—
717C22—42no—
718C22—42no—
719C22—84no—
720C22—442no—
721C22—442no—
722C22—442no—
723C22—442no—
724C22—442no—
725C22—442no—
726C22C23×C22⋊D1111yescharacteristic
727C4—21no—
728C4—21no—
729C4—24no—
730C4—21no—
731C4—21no—
732C4—24no—
733C4—42no—
734C4—42no—
735C4—42no—
736C4—442no—
737C4—442no—
738C4#1062336612yes—
739C4C2×#6704012yes—
740C2—41no—
741C2—44no—
742C2—882no—
743C2—882no—
744C2#1308226711yescharacteristic
745C2C2×#1062336611yescharacteristic
746C2#1308339511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3501C2
socleC22×C11C23×D4
hypercenter#3501D11
hypocenterC11#61847
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #13083016C2semidirect
2. #13081570C2semidirect
3. #13081511C2semidirect
4. #13081479C2semidirect
5. #13081323C2semidirect
6. #13081323C2semidirect
7. #13081251C2semidirect
8. #13079869C2semidirect
9. #13079814C2semidirect
10. #13079752C2semidirect
11. #13078859C2semidirect
12. #13078707C2semidirect
13. #13078616C2semidirect
14. #13077711C2semidirect
15. C11×#3501C2semidirect
34. #10623110C22semidirect
35. #10623110C22semidirect
36. #10623108C22semidirect
37. #10623108C22semidirect
43. #10622701C22semidirect
44. #10622701C22semidirect
45. #10622701C22semidirect
46. #10622700C22semidirect
47. #10622700C22semidirect
48. #10622697C22semidirect
49. #10622697C22semidirect
50. #10622693C22semidirect
51. #10622692C22semidirect
52. #10622691C22semidirect
53. #10622680C22semidirect
54. #10622680C22semidirect
55. #10622679C22semidirect
56. #10622679C22semidirect
57. #10622679C22semidirect
58. #10622678C22semidirect
59. #10622677C22semidirect
60. #10622637C22semidirect
61. #10622637C22semidirect
62. Q8×C11⋊C8C22semidirect
285. #3501D11semidirect
656. C11#61847semidirect

Maximal subgroups

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

subgroupindex
#130830162
#130815702
#130815112
#130814792
#130813232
#130812512
#130798692
#130798142
#130797522
#130788592
#130787072
#130786162
#130777112
C11×#35012
#6184711