Finite Group Databasebeta

← #15644149

Subgroups — #15644149

Order 2816.

1716 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082417C211yesmaximal, characteristic, complemented
2#13081522C212yesmaximal, complemented
3#13081511C214yesmaximal, complemented
4Q8×#4325C212yesmaximal, complemented
5#13081437C214yesmaximal, complemented
6#13081404C212yesmaximal, complemented
7#13081272C212yesmaximal, complemented
8#13079908C214yesmaximal, complemented
9#13079826C211yesmaximal, characteristic, complemented
10#13079748C211yesmaximal, characteristic, complemented
11#13078794C214yesmaximal, complemented
12#13078703C211yesmaximal, characteristic
13#13078620C211yesmaximal, characteristic, complemented
14#13077711C211yesmaximal, characteristic, complemented
15C11×#3550C211yesmaximal, characteristic, complemented
16C11×#563—22no—
17C11×#559C2212yescomplemented
18Q82×C11C2212yescomplemented
19C11×#556—21no—
20C11×#556C2212yescomplemented
21D4×Q8×C11—21no—
22D4×Q8×C11C2212yescomplemented
23C11×#542—22no—
24C11×#542C2214yes—
25C11×#536—22no—
26C11×#533C2211yescharacteristic
27C11×#533C2211yescharacteristic
28C11×#532C2211yescharacteristic
29#10623261—21no—
30#10623258—21no—
31#10623221—22no—
32#10623165—22no—
33D11×C22⋊Q8—22no—
34#10623110C2214yes—
35#10623110C2212yes—
36Q8×D44C2212yes—
37#10623052C2212yes—
38#10623050C2212yes—
39C2×C4×D44C2211yescharacteristic
40#10623001C2211yescharacteristic
41#10622700C2214yes—
42#10622697C2214yes—
43#10622697C2212yes—
44#10622697C2212yes—
45#10622696C2212yes—
46#10622695C2212yescomplemented
47#10622693C2212yescomplemented
48#10622693C2214yescomplemented
49#10622692C2214yescomplemented
50#10622692C2211yescharacteristic, complemented
51#10622691C2211yescharacteristic, complemented
52#10622685C2212yes—
53#10622683C2211yescharacteristic, complemented
54#10622683C2211yescharacteristic, complemented
55#10622670C2214yes—
56#10622670C2214yes—
57#10622669C2214yescomplemented
58#10622668C2214yescomplemented
59#10622659C2212yes—
60#10622658C2214yes—
61#10622656C2212yes—
62#10622649C2212yes—
63#10622648C2214yes—
64#10622647C2212yes—
65#10622639C2214yes—
66C4×#4325C2214yes—
67C4×#4325C2212yes—
68C4×#4325C2212yes—
69#10622637C2212yescomplemented
70#10622637C2214yescomplemented
71Q8×C11⋊C8C2212yescomplemented
72#10622635C2214yescomplemented
73#10622634C2212yescomplemented
74#10622633C2212yescomplemented
75#10622633C2214yescomplemented
76#10622627C2214yes—
77#10622627C2214yes—
78C4×#4323C2214yes—
79#10622622C2214yescomplemented
80#10622622C2214yescomplemented
81#10622621C2214yescomplemented
82#10622613C2214yes—
83#10622539C2211yescharacteristic
84#10622538C2211yescharacteristic
85C2×C11×#41—21no—
86C22×Q8×C11—22no—
87C2×Q8×D11—22no—
88C22×D44C2311yescharacteristic
89C22×C4×D11—21no—
90C11×C4⋊Q8—24no—
91C11×C4⋊Q8—22no—
92C11×C4⋊Q8D411yescharacteristic
93C11×C4⋊Q8D411yescharacteristic
94C11×C4⋊Q8C2311yescharacteristic
95C11×C4⋊Q8C2311yescharacteristic
96C11×C4⋊Q8C2311yescharacteristic
97C11×C4⋊Q8C2314yes—
98C11×#127C2311yescharacteristic
99C11×#126—24no—
100C11×#126—24no—
101C11×#125—21no—
102C11×#125D412yes—
103C11×#124—22no—
104C11×#124—24no—
105C11×#124—21no—
106C11×#124C2314yes—
107C11×#123—24no—
108C11×#123—24no—
109C11×C22⋊Q8—22no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—22no—
112C11×C22⋊Q8—24no—
113C11×C22⋊Q8—24no—
114C11×C22⋊Q8D412yes—
115C11×C22⋊Q8D412yes—
116C11×C22⋊Q8C2312yes—
117C11×#121—21no—
118C11×#121C2312yes—
119C4×Q8×C11—22no—
120C4×Q8×C11—21no—
121C4×Q8×C11C2312yes—
122C4×Q8×C11C2314yes—
123C4×Q8×C11C2312yes—
124C4×Q8×C11C2312yes—
125C4×D4×C11—22no—
126C4×D4×C11—21no—
127C4×D4×C11C2314yes—
128C4×D4×C11C2312yes—
129C11×#117—21no—
130C11×#117—22no—
131C11×#117C2312yes—
132C2×C42×C11C2311yescharacteristic
133#66999—22no—
134#66999—24no—
135C2×#4325C2312yes—
136C2×#4325C2312yes—
137C2×#4323C2314yes—
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#66899C2312yes—
170#66899C2314yes—
171#66899C2314yes—
172#66899C2312yes—
173#66896C2314yes—
174#66896C2314yes—
175#66896C2314yes—
176C22⋊(C11⋊C8)C2312yes—
177C22⋊(C11⋊C8)C2312yes—
178#66873C2312yes—
179#66873C2312yes—
180#66873C2314yes—
181#66872C2312yes—
182#66872C2314yes—
183#66872C2312yes—
184#66872C2314yes—
185#66872C2314yes—
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#61850—111nomaximal, Sylow
198C23×D11—21no—
199C11×#41—82no—
200C2×Q8×C11—21no—
201C2×Q8×C11—24no—
202C2×Q8×C11—21no—
203C2×Q8×C11—84no—
204C2×Q8×C11C2×D412yes—
205C2×Q8×C11C2×D412yes—
206C2×Q8×C11C2412yes—
207C2×D4×C11—22no—
208C2×D4×C11—21no—
209C2×D4×C11—21no—
210C2×D4×C11C2412yes—
211C22×C4×C11—22no—
212C22×C4×C11—24no—
213C22×C4×C11C2×D411yescharacteristic
214C22×C4×C11C2×D411yescharacteristic
215C22×C4×C11C2411yescharacteristic
216C22×Dic11—21no—
217Q8×D11—84no—
218C2×D44—24no—
219C2×D44—21no—
220C2×D44C2412yes—
221C2×C4×D11—22no—
222C2×C4×D11—22no—
223C2×C4×D11—24no—
224C2×C4×D11—24no—
225C2×C4×D11—82no—
226C2×Dic22—21no—
227C2×Dic22—21no—
228C2×Dic22—24no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—21no—
232C11×C4⋊C4—21no—
233C11×C4⋊C4—22no—
234C11×C4⋊C4—24no—
235C11×C4⋊C4—24no—
236C11×C4⋊C4—22no—
237C11×C4⋊C4C2×D412yes—
238C11×C4⋊C4C2×D412yes—
239C11×C4⋊C4C2×D414yes—
240C11×C4⋊C4C2×D412yes—
241C11×C4⋊C4C2×D412yes—
242C11×C4⋊C4C2×D414yes—
243C11×C4⋊C4C2412yes—
244C11×C4⋊C4C2412yes—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—24no—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—24no—
249C11×C22⋊C4—22no—
250C11×C22⋊C4—24no—
251C11×C22⋊C4C2×D414yes—
252C42×C11—22no—
253C42×C11—24no—
254C42×C11C2×D411yescharacteristic
255C42×C11C2×D411yescharacteristic
256C42×C11C2411yescharacteristic
257C42×C11C2414yes—
258C42×C11C2411yescharacteristic
259C22⋊Dic11—22no—
260#4325—24no—
261#4325—24no—
262#4323—28no—
263(C2×D11)⋊C4—22no—
264(C2×D11)⋊C4—22no—
265(C2×D11)⋊C4—24no—
266(C2×D11)⋊C4—24no—
267C4⋊Dic11—21no—
268C4⋊Dic11—21no—
269C4⋊Dic11—24no—
270C4⋊Dic11—21no—
271C4⋊Dic11C2412yes—
272C4⋊Dic11C2412yes—
273C4⋊Dic11C2412yes—
274Dic11⋊C4—22no—
275Dic11⋊C4—22no—
276Dic11⋊C4—24no—
277Dic11⋊C4—24no—
278C4×Dic11—22no—
279C2×C11⋊C8C2412yes—
280C2×C11⋊C8C2412yes—
281C2×C11⋊C8C2414yes—
282#3550D1111yescharacteristic, complemented
283#3501—111no—
284#3385—112no—
285#3384—114no—
286Q8×SD16—112no—
287#3376—114no—
288#3373—112no—
289#3361—112no—
290#3244—114no—
291#3237—111no—
292#3228—111no—
293#3118—114no—
294#3109—111no—
295#3101—111no—
296#2985—111no—
297C23×C11—22no—
298C23×C11C22×D411yescharacteristic
299C22×D11—22no—
300C22×D11—24no—
301C22×D11—81no—
302C22×D11—81no—
303Q8×C11—24no—
304Q8×C11—22no—
305Q8×C11—22no—
306Q8×C11—42no—
307Q8×C11—42no—
308Q8×C11—84no—
309Q8×C11—81no—
310D4×C11—24no—
311D4×C11—42no—
312D4×C11—81no—
313D4×C11—82no—
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×C11C22×D411yescharacteristic
323C2×C4×C11C22×D411yescharacteristic
324C2×C4×C11C22×D411yescharacteristic
325C2×C4×C11C22×D414yes—
326C2×C4×C11C22×D414yes—
327C2×C4×C11C22×D411yescharacteristic
328C2×C4×C11C22×D411yescharacteristic
329C2×C4×C11C2511yescharacteristic
330C2×Dic11—22no—
331C2×Dic11—22no—
332C2×Dic11—22no—
333C2×Dic11—81no—
334D44—24no—
335D44—22no—
336D442−1+414yes—
337C4×D11—44no—
338C4×D11—84no—
339C4×D11—82no—
340C4×D11—84no—
341Dic22—42no—
342Dic22—81no—
343Dic22—84no—
344C11⋊C8—24no—
345C11⋊C8—22no—
346C11⋊C8—22no—
347#563—22no—
348#559C2×D1112yescomplemented
349Q82C2×D1112yescomplemented
350#556—21no—
351#556C2×D1112yescomplemented
352#554—112no—
353#554—114no—
354#554—221no—
355#554—222no—
356D4×Q8—21no—
357D4×Q8—112no—
358D4×Q8—221no—
359D4×Q8C2×D1112yescomplemented
360#544—112no—
361#543—222no—
362#542—22no—
363#542C2×D1114yes—
364#536—22no—
365#533—111no—
366#533C2×D1111yescharacteristic
367#533C2×D1111yescharacteristic
368#532C2×D1111yescharacteristic
369C2×C22⋊Q8—222no—
370#518—112no—
371C2×C4×D4—111no—
372#501—112no—
373#501—114no—
374#500—111no—
375#498—111no—
376#498—114no—
377#491—112no—
378#489—114no—
379#488—114no—
380#486—111no—
381#486—111no—
382#485—114no—
383#483—112no—
384#482—114no—
385#481—112no—
386#479—114no—
387#478—114no—
388#478—114no—
389#477—112no—
390#476—112no—
391#476—112no—
392#476—114no—
393#476—114no—
394#475—112no—
395#475—114no—
396#474—114no—
397#463—114no—
398#463—114no—
399#461—112no—
400#459—112no—
401#450—112no—
402#447—112no—
403#446—112no—
404#446—114no—
405C8×Q8—112no—
406#442—114no—
407#442—114no—
408#440—114no—
409C4×SD16—112no—
410C4×SD16—112no—
411C4×SD16—114no—
412C4×D8—114no—
413#433—114no—
414#432—111no—
415#431—111no—
416C22×C11—21no—
417C22×C11—21no—
418C22×C11—21no—
419C22×C11—42no—
420C22×C11—42no—
421C22×C11—42no—
422C22×C11C23×D411yescharacteristic
423C2×D11—24no—
424C2×D11—42no—
425C2×D11—42no—
426C2×D11—84no—
427C4×C11—21no—
428C4×C11—21no—
429C4×C11—24no—
430C4×C11—21no—
431C4×C11—21no—
432C4×C11—24no—
433C4×C11—42no—
434C4×C11—42no—
435C4×C11—42no—
436C4×C11#57712yes—
437C4×C11C2×2−1+412yes—
438Dic11—42no—
439Dic11—42no—
440Dic11—42no—
441C2×#41—21no—
442C22×Q8—22no—
443C22×Q8—222no—
444C22×D4—111no—
445C23×C4—221no—
446C2×SD16—112no—
447C2×SD16—112no—
448C2×D8—114no—
449C4⋊Q8—24no—
450C4⋊Q8—22no—
451C4⋊Q8—111no—
452C4⋊Q8—111no—
453C4⋊Q8—114no—
454C4⋊Q8—222no—
455C4⋊Q8C22⋊D1111yescharacteristic
456C4⋊Q8C22⋊D1111yescharacteristic
457C4⋊Q8C22×D1111yescharacteristic
458C4⋊Q8C22×D1111yescharacteristic
459C4⋊Q8C22×D1111yescharacteristic
460C4⋊Q8C22×D1114yes—
461#127C22×D1111yescharacteristic
462#126—24no—
463#126—24no—
464#125—21no—
465#125—112no—
466#125—114no—
467#125—222no—
468#125C22⋊D1112yes—
469#124—22no—
470#124—24no—
471#124—21no—
472#124C22×D1114yes—
473#123—24no—
474#123—24no—
475C22⋊Q8—22no—
476C22⋊Q8—21no—
477C22⋊Q8—22no—
478C22⋊Q8—24no—
479C22⋊Q8—24no—
480C22⋊Q8—222no—
481C22⋊Q8—224no—
482C22⋊Q8—221no—
483C22⋊Q8—221no—
484C22⋊Q8—222no—
485C22⋊Q8—224no—
486C22⋊Q8—224no—
487C22⋊Q8—224no—
488C22⋊Q8—224no—
489C22⋊Q8—224no—
490C22⋊Q8C22⋊D1112yes—
491C22⋊Q8C22⋊D1112yes—
492C22⋊Q8C22×D1112yes—
493#121—21no—
494#121C22×D1112yes—
495C4×Q8—22no—
496C4×Q8—21no—
497C4×Q8—221no—
498C4×Q8—221no—
499C4×Q8C22×D1112yes—
500C4×Q8C22×D1114yes—
501C4×Q8C22×D1112yes—
502C4×Q8C22×D1112yes—
503C4×D4—22no—
504C4×D4—21no—
505C4×D4—112no—
506C4×D4—112no—
507C4×D4—114no—
508C4×D4—114no—
509C4×D4—222no—
510C4×D4—222no—
511C4×D4—221no—
512C4×D4—221no—
513C4×D4C22×D1112yes—
514C4×D4C22×D1114yes—
515#117—21no—
516#117—22no—
517#117—112no—
518#117C22×D1112yes—
519C2×C4⋊C4—111no—
520C2×C4⋊C4—224no—
521C2×C4⋊C4—222no—
522C2×C22⋊C4—221no—
523C2×C22⋊C4—224no—
524C2×C42C22×D1111yescharacteristic
525#107—114no—
526#107—114no—
527#106—114no—
528#106—112no—
529#106—112no—
530#106—114no—
531#106—114no—
532C4⋊C8—112no—
533C4⋊C8—112no—
534C4⋊C8—114no—
535C4⋊C8—114no—
536#103—112no—
537#103—112no—
538#103—114no—
539#103—114no—
540#102—114no—
541#102—114no—
542#102—114no—
543#102—112no—
544#102—114no—
545#102—112no—
546C22⋊C8—112no—
547C22⋊C8—112no—
548#97—112no—
549#97—114no—
550C4×C8—111no—
551C4×C8—111no—
552C4×C8—114no—
553C2×C11—41no—
554C2×C11—82no—
555C2×C11#348611yescharacteristic
556C2×C11C2×#57711yescharacteristic
557C2×C11#358511yescharacteristic
558D11—44no—
559C24—221no—
560#41—82no—
561C2×Q8—21no—
562C2×Q8—24no—
563C2×Q8—21no—
564C2×Q8—84no—
565C2×Q8—221no—
566C2×Q8—221no—
567C2×Q8—224no—
568C2×Q8—884no—
569C2×Q8C2×C22⋊D1112yes—
570C2×Q8C2×C22⋊D1112yes—
571C2×Q8C23×D1112yes—
572C2×D4—22no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—112no—
576C2×D4—224no—
577C2×D4—221no—
578C2×D4C23×D1112yes—
579C22×C4—22no—
580C22×C4—24no—
581C22×C4—221no—
582C22×C4—222no—
583C22×C4—224no—
584C22×C4—224no—
585C22×C4—222no—
586C22×C4—882no—
587C22×C4C2×C22⋊D1111yescharacteristic
588C22×C4C2×C22⋊D1111yescharacteristic
589C22×C4C23×D1111yescharacteristic
590SD16—224no—
591SD16—224no—
592D8—228no—
593C2×C8—112no—
594C2×C8—112no—
595C2×C8—114no—
596C4⋊C4—21no—
597C4⋊C4—21no—
598C4⋊C4—21no—
599C4⋊C4—21no—
600C4⋊C4—22no—
601C4⋊C4—24no—
602C4⋊C4—24no—
603C4⋊C4—22no—
604C4⋊C4—112no—
605C4⋊C4—112no—
606C4⋊C4—112no—
607C4⋊C4—221no—
608C4⋊C4—222no—
609C4⋊C4—221no—
610C4⋊C4—224no—
611C4⋊C4—224no—
612C4⋊C4—224no—
613C4⋊C4—222no—
614C4⋊C4—221no—
615C4⋊C4C2×C22⋊D1112yes—
616C4⋊C4C2×C22⋊D1114yes—
617C4⋊C4C2×C22⋊D1112yes—
618C4⋊C4C2×C22⋊D1112yes—
619C4⋊C4C2×C22⋊D1112yes—
620C4⋊C4C2×C22⋊D1114yes—
621C4⋊C4C23×D1112yes—
622C4⋊C4C23×D1112yes—
623C22⋊C4—22no—
624C22⋊C4—24no—
625C22⋊C4—22no—
626C22⋊C4—24no—
627C22⋊C4—22no—
628C22⋊C4—24no—
629C22⋊C4—222no—
630C22⋊C4—224no—
631C22⋊C4—224no—
632C22⋊C4—222no—
633C22⋊C4—222no—
634C22⋊C4C2×C22⋊D1114yes—
635C42—22no—
636C42—24no—
637C42—222no—
638C42C2×C22⋊D1111yescharacteristic
639C42C2×C22⋊D1111yescharacteristic
640C42C23×D1111yescharacteristic
641C42C23×D1114yes—
642C42C23×D1111yescharacteristic
643C11#6185011yescharacteristic, complemented, Sylow
644C23—22no—
645C23—224no—
646C23—222no—
647C23—881no—
648C23—881no—
649C23C22×C22⋊D1111yescharacteristic
650Q8—24no—
651Q8—22no—
652Q8—22no—
653Q8—42no—
654Q8—42no—
655Q8—84no—
656Q8—81no—
657Q8—442no—
658Q8—884no—
659Q8—881no—
660D4—24no—
661D4—42no—
662D4—81no—
663D4—82no—
664D4—114no—
665D4—224no—
666D4—222no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—41no—
673C2×C4—44no—
674C2×C4—84no—
675C2×C4—222no—
676C2×C4—222no—
677C2×C4—222no—
678C2×C4—444no—
679C2×C4—882no—
680C2×C4—884no—
681C2×C4—884no—
682C2×C4—881no—
683C2×C4C22×C22⋊D1114yes—
684C2×C4C22×C22⋊D1111yescharacteristic
685C2×C4C22×C22⋊D1111yescharacteristic
686C2×C4C22×C22⋊D1111yescharacteristic
687C2×C4C22×C22⋊D1111yescharacteristic
688C2×C4C22×C22⋊D1114yes—
689C2×C4C22×C22⋊D1111yescharacteristic
690C2×C4C24×D1111yescharacteristic
691C8—224no—
692C8—222no—
693C8—222no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—224no—
701C22—442no—
702C22—442no—
703C22—884no—
704C22C23×C22⋊D1111yescharacteristic
705C4—21no—
706C4—21no—
707C4—24no—
708C4—21no—
709C4—21no—
710C4—24no—
711C4—42no—
712C4—42no—
713C4—42no—
714C4—442no—
715C4—442no—
716C4—442no—
717C4#1062336812yes—
718C4D11×2−1+412yes—
719C2—41no—
720C2—82no—
721C2—444no—
722C2#1308226411yescharacteristic
723C2C2×#1062336811yescharacteristic
724C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3550C2
socleC22×C11C23×D4
prime radical#13078703C2
hypercenter#3550D11
hypocenterC11#61850
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3550

Complements

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

NH ≅ G/Ntype
1. #13082417C2semidirect
2. #13081522C2semidirect
3. #13081511C2semidirect
4. Q8×#4325C2semidirect
5. #13081437C2semidirect
6. #13081404C2semidirect
7. #13081272C2semidirect
8. #13079908C2semidirect
9. #13079826C2semidirect
10. #13079748C2semidirect
11. #13078794C2semidirect
13. #13078620C2semidirect
14. #13077711C2semidirect
15. C11×#3550C2semidirect
17. C11×#559C22semidirect
18. Q82×C11C22semidirect
20. C11×#556C22semidirect
22. D4×Q8×C11C22semidirect
46. #10622695C22semidirect
47. #10622693C22semidirect
48. #10622693C22semidirect
49. #10622692C22semidirect
50. #10622692C22semidirect
51. #10622691C22semidirect
53. #10622683C22semidirect
54. #10622683C22semidirect
57. #10622669C22semidirect
58. #10622668C22semidirect
69. #10622637C22semidirect
70. #10622637C22semidirect
71. Q8×C11⋊C8C22semidirect
72. #10622635C22semidirect
73. #10622634C22semidirect
74. #10622633C22semidirect
75. #10622633C22semidirect
79. #10622622C22semidirect
80. #10622622C22semidirect
81. #10622621C22semidirect
282. #3550D11semidirect
348. #559C2×D11semidirect
349. Q82C2×D11semidirect
351. #556C2×D11semidirect
359. D4×Q8C2×D11semidirect
643. C11#61850semidirect

Maximal subgroups

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

subgroupindex
#130824172
#130815222
#130815112
Q8×#43252
#130814372
#130814042
#130812722
#130799082
#130798262
#130797482
#130787942
#130787032
#130786202
#130777112
C11×#35502
#6185011