Finite Group Databasebeta

← C11×#24414 #14601607

Subgroups — C11×#24414 #14601607

Order 2816.

1460 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3485C211yesmaximal, characteristic, complemented
2C11×#3055C212yesmaximal, complemented
3C2×C11×#453C211yesmaximal, characteristic, complemented
4C2×C11×#413C211yesmaximal, characteristic, complemented
5C11×#2431C211yesmaximal, characteristic, complemented
6C11×#2038C212yesmaximal, complemented
7C11×#2003C212yesmaximal, complemented
8C11×#1887C211yesmaximal, characteristic, complemented
9C11×#1871C212yesmaximal, complemented
10C11×#1856C211yesmaximal, characteristic, complemented
11C11×#1792C211yesmaximal, characteristic, complemented
12C2×C11×H(5,𝔽2)C2211yescharacteristic
13C22×C11×#41C2211yescharacteristic
14C2×C11×AGL(1,ℤ/8)C2212yes—
15C22×C11×M16C2212yescomplemented
16C11×#547—22no—
17C11×#547—22no—
18C11×#546—22no—
19C11×#546—22no—
20C11×#536C2212yes—
21C11×#534—22no—
22C2×C11×#127C2211yescharacteristic
23C2×C11×#124C2211yescharacteristic, complemented
24C11×#525C2212yes—
25C2×C11×#123—22no—
26C2×C11×#121C2211yescharacteristic, complemented
27C11×#518C2211yescharacteristic
28C11×#469—22no—
29C11×#468—22no—
30C11×#466—22no—
31C11×#465—22no—
32C11×#453—24no—
33C11×#428C2212yescomplemented
34C2×C11×#104C2212yes—
35C2×C11×#104C2212yes—
36C11×#418C2212yescomplemented
37C11×#417C2212yes—
38C11×#413—24no—
39C2×C11×#101C2212yescomplemented
40C2×C11×#100C2211yescharacteristic
41C2×C11×#100C2211yescharacteristic
42C11×#392—22no—
43C11×#391C2211yescharacteristic, complemented
44C11×#390C2211yescharacteristic
45C11×#386—22no—
46C4×C11×C22⋊C4C2211yescharacteristic, complemented
47C11×#339C2212yescomplemented
48C11×#339C2212yescomplemented
49C11×H(5,𝔽2)—22no—
50C11×H(5,𝔽2)—22no—
51C11×H(5,𝔽2)—42no—
52C2×C11×#41—22no—
53C2×C11×#41—22no—
54C2×C11×#41—22no—
55C2×C11×#41—22no—
56C2×C11×#41—22no—
57C2×C11×#41—42no—
58C2×C11×#41C2312yes—
59C22×Q8×C11C2311yescharacteristic
60C22×D4×C11—22no—
61C22×D4×C11—22no—
62C22×D4×C11—22no—
63C22×D4×C11—21no—
64C22×D4×C11D412yes—
65C22×D4×C11C2311yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11D412yes—
68C23×C4×C11C2311yescharacteristic
69C11×AGL(1,ℤ/8)—24no—
70C11×AGL(1,ℤ/8)—42no—
71C2×C11×SD16—22no—
72C2×C11×D8—22no—
73C2×C11×M16—22no—
74C2×C11×M16—24no—
75C2×C11×M16—42no—
76C2×C11×M16C2312yes—
77C2×C11×M16C2312yes—
78C22×C8×C11—22no—
79C11×C4⋊Q8—22no—
80C11×#127—22no—
81C11×#127—22no—
82C11×#124—22no—
83C11×#124—42no—
84C11×#123—24no—
85C11×#123—24no—
86C11×#123—24no—
87C11×#123—22no—
88C11×#123—24no—
89C11×C22⋊Q8—22no—
90C11×C22⋊Q8—22no—
91C11×C22⋊Q8D412yescomplemented
92C11×C22⋊Q8D412yescomplemented
93C11×#121—24no—
94C11×#121—24no—
95C11×#121—22no—
96C11×#121—22no—
97C11×#121D412yescomplemented
98C11×#121D412yescomplemented
99C11×#120—24no—
100C11×#120—22no—
101C4×D4×C11—22no—
102C4×D4×C11—22no—
103C4×D4×C11—22no—
104C4×D4×C11—22no—
105C11×#117C2312yes—
106C2×C11×C4⋊C4—22no—
107C2×C11×C4⋊C4—22no—
108C2×C11×C4⋊C4C2311yescharacteristic
109C2×C11×C22⋊C4—22no—
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—21no—
113C2×C11×C22⋊C4—21no—
114C2×C11×C22⋊C4—22no—
115C2×C11×C22⋊C4—22no—
116C2×C42×C11C2311yescharacteristic
117C2×C42×C11C2311yescharacteristic
118C11×#107—22no—
119C11×#106—22no—
120C11×#104—24no—
121C11×#104—42no—
122C11×#103—22no—
123C11×#102—22no—
124C11×#102—22no—
125C11×#102—22no—
126C11×#101—24no—
127C11×#100—22no—
128C11×#100D414yescomplemented
129C11×#95—21no—
130C11×#95—22no—
131#24414C1111yesmaximal, characteristic, direct product factor, Sylow
132C24×C11—22no—
133C24×C11—21no—
134C24×C11C2×D411yescharacteristic
135C24×C11C2×D412yes—
136C11×#41—22no—
137C11×#41—22no—
138C11×#41—22no—
139C11×#41—22no—
140C11×#41—44no—
141C11×#41—44no—
142C11×#41—44no—
143C11×#41—44no—
144C11×#41—44no—
145C11×#41—44no—
146C2×Q8×C11—21no—
147C2×Q8×C11—22no—
148C2×Q8×C11—21no—
149C2×Q8×C11—22no—
150C2×Q8×C11C2×D412yes—
151C2×D4×C11—24no—
152C2×D4×C11—24no—
153C2×D4×C11—24no—
154C2×D4×C11—22no—
155C2×D4×C11—22no—
156C2×D4×C11—22no—
157C2×D4×C11—22no—
158C2×D4×C11—22no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—22no—
162C2×D4×C11—22no—
163C2×D4×C11—42no—
164C2×D4×C11—44no—
165C2×D4×C11—44no—
166C2×D4×C11—44no—
167C2×D4×C11—44no—
168C2×D4×C11—44no—
169C2×D4×C11—42no—
170C2×D4×C11—44no—
171C2×D4×C11—82no—
172C2×D4×C11—82no—
173C2×D4×C11C2×D412yes—
174C2×D4×C11C2×D412yes—
175C2×D4×C11#4112yes—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—24no—
181C22×C4×C11—21no—
182C22×C4×C11—22no—
183C22×C4×C11—22no—
184C22×C4×C11—22no—
185C22×C4×C11—22no—
186C22×C4×C11—22no—
187C22×C4×C11—21no—
188C22×C4×C11—21no—
189C22×C4×C11—42no—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D412yes—
194C22×C4×C11C2411yescharacteristic
195C11×SD16—44no—
196C11×D8—44no—
197C11×M16—22no—
198C11×M16—22no—
199C11×M16—22no—
200C11×M16—44no—
201C11×M16C2×D414yes—
202C2×C8×C11—22no—
203C2×C8×C11—22no—
204C2×C8×C11—44no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—24no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4—22no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4C2×D412yes—
211C11×C4⋊C4C2×D412yes—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—24no—
214C11×C22⋊C4—24no—
215C11×C22⋊C4—22no—
216C11×C22⋊C4—22no—
217C11×C22⋊C4—22no—
218C11×C22⋊C4—22no—
219C11×C22⋊C4—22no—
220C11×C22⋊C4—42no—
221C11×C22⋊C4—44no—
222C11×C22⋊C4—41no—
223C11×C22⋊C4—41no—
224C11×C22⋊C4—82no—
225C42×C11—22no—
226C42×C11—21no—
227C42×C11—21no—
228C42×C11—22no—
229#3485C2×C1111yescharacteristic, complemented
230#3055C2×C1112yescomplemented
231C2×#453C2×C1111yescharacteristic, complemented
232C2×#413C2×C1111yescharacteristic, complemented
233#2431C2×C1111yescharacteristic, complemented
234#2038C2×C1112yescomplemented
235#2003C2×C1112yescomplemented
236#1887C2×C1111yescharacteristic, complemented
237#1871C2×C1112yescomplemented
238#1856C2×C1111yescharacteristic, complemented
239#1792C2×C1111yescharacteristic, complemented
240C23×C11—22no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—42no—
248C23×C11—42no—
249C23×C11—44no—
250C23×C11—42no—
251C23×C11—42no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—82no—
256C23×C11—82no—
257C23×C11#12012yes—
258C23×C11#12114yes—
259C23×C11C22×D411yescharacteristic
260Q8×C11—22no—
261Q8×C11—22no—
262Q8×C11—42no—
263Q8×C11—42no—
264D4×C11—24no—
265D4×C11—22no—
266D4×C11—24no—
267D4×C11—22no—
268D4×C11—48no—
269D4×C11—48no—
270D4×C11—42no—
271D4×C11—42no—
272D4×C11—42no—
273D4×C11—42no—
274D4×C11—82no—
275D4×C11—82no—
276D4×C11—88no—
277D4×C11—84no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—22no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—44no—
292C2×C4×C11—44no—
293C2×C4×C11—44no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—42no—
297C2×C4×C11—42no—
298C2×C4×C11—41no—
299C2×C4×C11—41no—
300C2×C4×C11—42no—
301C2×C4×C11—41no—
302C2×C4×C11—41no—
303C2×C4×C11—82no—
304C2×C4×C11—82no—
305C2×C4×C11#12011yescharacteristic
306C2×C4×C11#12011yescharacteristic
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D412yes—
309C2×C4×C11C2×#4111yescharacteristic
310C2×C4×C11H(5,𝔽2)12yes—
311C8×C11—24no—
312C8×C11—42no—
313C2×H(5,𝔽2)C22×C1111yescharacteristic
314C22×#41C22×C1111yescharacteristic
315C2×AGL(1,ℤ/8)C22×C1112yes—
316C22×M16C22×C1112yescomplemented
317#547—22no—
318#547—22no—
319#546—22no—
320#546—22no—
321#536C22×C1112yes—
322#534—22no—
323C2×#127C22×C1111yescharacteristic
324C2×#124C22×C1111yescharacteristic, complemented
325#525C22×C1112yes—
326C2×#123—22no—
327C2×#121C22×C1111yescharacteristic, complemented
328#518C22×C1111yescharacteristic
329#469—22no—
330#468—22no—
331#466—22no—
332#465—22no—
333#453—24no—
334#428C22×C1112yescomplemented
335C2×#104C22×C1112yes—
336C2×#104C22×C1112yes—
337#418C22×C1112yescomplemented
338#417C22×C1112yes—
339#413—24no—
340C2×#101C22×C1112yescomplemented
341C2×#100C22×C1111yescharacteristic
342C2×#100C22×C1111yescharacteristic
343#392—22no—
344#391C22×C1111yescharacteristic, complemented
345#390C22×C1111yescharacteristic
346#386—22no—
347C4×C22⋊C4C22×C1111yescharacteristic, complemented
348#339C22×C1112yescomplemented
349#339C22×C1112yescomplemented
350C22×C11—21no—
351C22×C11—21no—
352C22×C11—22no—
353C22×C11—24no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—44no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—42no—
360C22×C11—42no—
361C22×C11—42no—
362C22×C11—81no—
363C22×C11—81no—
364C22×C11—82no—
365C22×C11—82no—
366C22×C11—82no—
367C22×C11—81no—
368C22×C11—81no—
369C22×C11—81no—
370C22×C11—164no—
371C22×C11C2×#12011yescharacteristic
372C22×C11C2×#12111yescharacteristic
373C22×C11#53411yescharacteristic
374C4×C11—21no—
375C4×C11—21no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—42no—
379C4×C11—42no—
380C4×C11—42no—
381C4×C11—81no—
382C4×C11—81no—
383C4×C11D4212yes—
384C4×C11#54612yes—
385H(5,𝔽2)—22no—
386H(5,𝔽2)—22no—
387H(5,𝔽2)—42no—
388C2×#41—22no—
389C2×#41—22no—
390C2×#41—22no—
391C2×#41—22no—
392C2×#41—22no—
393C2×#41—42no—
394C2×#41C23×C1112yes—
395C22×Q8C23×C1111yescharacteristic
396C22×D4—22no—
397C22×D4—22no—
398C22×D4—22no—
399C22×D4—21no—
400C22×D4D4×C1112yes—
401C22×D4C23×C1111yescharacteristic
402C22×D4C23×C1111yescharacteristic
403C23×C4D4×C1112yes—
404C23×C4C23×C1111yescharacteristic
405AGL(1,ℤ/8)—24no—
406AGL(1,ℤ/8)—42no—
407C2×SD16—22no—
408C2×D8—22no—
409C2×M16—22no—
410C2×M16—24no—
411C2×M16—42no—
412C2×M16C23×C1112yes—
413C2×M16C23×C1112yes—
414C22×C8—22no—
415C4⋊Q8—22no—
416#127—22no—
417#127—22no—
418#124—22no—
419#124—42no—
420#123—24no—
421#123—24no—
422#123—24no—
423#123—22no—
424#123—24no—
425C22⋊Q8—22no—
426C22⋊Q8—22no—
427C22⋊Q8D4×C1112yescomplemented
428C22⋊Q8D4×C1112yescomplemented
429#121—24no—
430#121—24no—
431#121—22no—
432#121—22no—
433#121D4×C1112yescomplemented
434#121D4×C1112yescomplemented
435#120—24no—
436#120—22no—
437C4×D4—22no—
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—22no—
441#117C23×C1112yes—
442C2×C4⋊C4—22no—
443C2×C4⋊C4—22no—
444C2×C4⋊C4C23×C1111yescharacteristic
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4—22no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—21no—
450C2×C22⋊C4—22no—
451C2×C22⋊C4—22no—
452C2×C42C23×C1111yescharacteristic
453C2×C42C23×C1111yescharacteristic
454#107—22no—
455#106—22no—
456#104—24no—
457#104—42no—
458#103—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#101—24no—
463#100—22no—
464#100D4×C1114yescomplemented
465#95—21no—
466#95—22no—
467C2×C11—21no—
468C2×C11—21no—
469C2×C11—42no—
470C2×C11—44no—
471C2×C11—82no—
472C2×C11—161no—
473C2×C11#241011yescharacteristic
474C2×C11#301811yescharacteristic
475C2×C11#302111yescharacteristic
476C24—22no—
477C24—21no—
478C24C2×D4×C1111yescharacteristic
479C24C2×D4×C1112yes—
480#41—22no—
481#41—22no—
482#41—22no—
483#41—22no—
484#41—44no—
485#41—44no—
486#41—44no—
487#41—44no—
488#41—44no—
489#41—44no—
490C2×Q8—21no—
491C2×Q8—22no—
492C2×Q8—21no—
493C2×Q8—22no—
494C2×Q8C2×D4×C1112yes—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—22no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—42no—
508C2×D4—44no—
509C2×D4—44no—
510C2×D4—44no—
511C2×D4—44no—
512C2×D4—44no—
513C2×D4—42no—
514C2×D4—44no—
515C2×D4—82no—
516C2×D4—82no—
517C2×D4C2×D4×C1112yes—
518C2×D4C2×D4×C1112yes—
519C2×D4C11×#4112yes—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—24no—
525C22×C4—21no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—42no—
534C22×C4C2×D4×C1112yes—
535C22×C4C2×D4×C1111yescharacteristic
536C22×C4C2×D4×C1112yes—
537C22×C4C2×D4×C1112yes—
538C22×C4C24×C1111yescharacteristic
539SD16—44no—
540D8—44no—
541M16—22no—
542M16—22no—
543M16—22no—
544M16—44no—
545M16C2×D4×C1114yes—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—44no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4C2×D4×C1112yes—
555C4⋊C4C2×D4×C1112yes—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—22no—
560C22⋊C4—22no—
561C22⋊C4—22no—
562C22⋊C4—22no—
563C22⋊C4—22no—
564C22⋊C4—44no—
565C22⋊C4—42no—
566C22⋊C4—41no—
567C22⋊C4—41no—
568C22⋊C4—82no—
569C42—22no—
570C42—21no—
571C42—21no—
572C42—22no—
573C11#2441411yescharacteristic, direct product factor, Sylow
574C23—22no—
575C23—21no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—42no—
582C23—42no—
583C23—44no—
584C23—42no—
585C23—42no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—82no—
590C23—82no—
591C23C11×#12012yes—
592C23C11×#12114yes—
593C23C22×D4×C1111yescharacteristic
594Q8—22no—
595Q8—22no—
596Q8—42no—
597Q8—42no—
598D4—24no—
599D4—22no—
600D4—24no—
601D4—22no—
602D4—48no—
603D4—48no—
604D4—42no—
605D4—42no—
606D4—42no—
607D4—42no—
608D4—82no—
609D4—82no—
610D4—88no—
611D4—84no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—44no—
626C2×C4—44no—
627C2×C4—44no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—42no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—82no—
638C2×C4—82no—
639C2×C4C11×#12011yescharacteristic
640C2×C4C11×#12011yescharacteristic
641C2×C4C22×D4×C1111yescharacteristic
642C2×C4C22×D4×C1112yes—
643C2×C4C2×C11×#4111yescharacteristic
644C2×C4C11×H(5,𝔽2)12yes—
645C8—24no—
646C8—42no—
647C22—21no—
648C22—21no—
649C22—22no—
650C22—24no—
651C22—22no—
652C22—22no—
653C22—44no—
654C22—42no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—81no—
660C22—81no—
661C22—82no—
662C22—82no—
663C22—82no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—164no—
668C22C2×C11×#12011yescharacteristic
669C22C2×C11×#12111yescharacteristic
670C22C11×#53411yescharacteristic
671C4—21no—
672C4—21no—
673C4—42no—
674C4—42no—
675C4—42no—
676C4—42no—
677C4—42no—
678C4—81no—
679C4—81no—
680C4D42×C1112yes—
681C4C11×#54612yes—
682C2—21no—
683C2—21no—
684C2—42no—
685C2—44no—
686C2—82no—
687C2—161no—
688C2C11×#241011yescharacteristic
689C2C11×#301811yescharacteristic
690C2C11×#302111yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C23×C4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3485C2semidirect
2. C11×#3055C2semidirect
3. C2×C11×#453C2semidirect
4. C2×C11×#413C2semidirect
5. C11×#2431C2semidirect
6. C11×#2038C2semidirect
7. C11×#2003C2semidirect
8. C11×#1887C2semidirect
9. C11×#1871C2semidirect
10. C11×#1856C2semidirect
11. C11×#1792C2semidirect
15. C22×C11×M16C22semidirect
23. C2×C11×#124C22semidirect
26. C2×C11×#121C22semidirect
33. C11×#428C22semidirect
36. C11×#418C22semidirect
39. C2×C11×#101C22semidirect
43. C11×#391C22semidirect
46. C4×C11×C22⋊C4C22semidirect
47. C11×#339C22semidirect
48. C11×#339C22semidirect
91. C11×C22⋊Q8D4semidirect
92. C11×C22⋊Q8D4semidirect
97. C11×#121D4semidirect
98. C11×#121D4semidirect
128. C11×#100D4semidirect
131. #24414C11direct (N × H)
229. #3485C2×C11semidirect
230. #3055C2×C11semidirect
231. C2×#453C2×C11semidirect
232. C2×#413C2×C11semidirect
233. #2431C2×C11semidirect
234. #2038C2×C11semidirect
235. #2003C2×C11semidirect
236. #1887C2×C11semidirect
237. #1871C2×C11semidirect
238. #1856C2×C11semidirect
239. #1792C2×C11semidirect
316. C22×M16C22×C11semidirect
324. C2×#124C22×C11semidirect
327. C2×#121C22×C11semidirect
334. #428C22×C11semidirect
337. #418C22×C11semidirect
340. C2×#101C22×C11semidirect
344. #391C22×C11semidirect
347. C4×C22⋊C4C22×C11semidirect
348. #339C22×C11semidirect
349. #339C22×C11semidirect
427. C22⋊Q8D4×C11semidirect
428. C22⋊Q8D4×C11semidirect
433. #121D4×C11semidirect
434. #121D4×C11semidirect
464. #100D4×C11semidirect
573. C11#24414direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#34852
C11×#30552
C2×C11×#4532
C2×C11×#4132
C11×#24312
C11×#20382
C11×#20032
C11×#18872
C11×#18712
C11×#18562
C11×#17922
#2441411