Finite Group Databasebeta

← C11×#20976 #14598169

Subgroups — C11×#20976 #14598169

Order 2816.

1818 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C11×#131C211yesmaximal, characteristic, complemented
2C2×C11×#537C211yesmaximal, characteristic
3C2×C11×#417C211yesmaximal, characteristic, complemented
4C2×C11×#416C211yesmaximal, characteristic, complemented
5C11×#2311C211yesmaximal, characteristic, complemented
6C11×#1895C212yesmaximal, complemented
7C11×#1894C212yesmaximal, complemented
8C11×#1893C212yesmaximal, complemented
9C11×#1892C212yesmaximal, complemented
10C11×#1736C211yesmaximal, characteristic, complemented
11C2×C11×#340C211yesmaximal, characteristic, complemented
12C22×C11×#41C2211yescharacteristic
13C22×C11×#41C2211yescharacteristic
14C2×C11×#131—24no—
15C2×C11×#131—24no—
16C2×C11×#131—24no—
17C22×C11×M16C2212yes—
18C22×C11×M16C2211yescharacteristic
19C23×C8×C11C2212yes—
20C23×C8×C11C2211yescharacteristic
21C11×#537—24no—
22C11×#537C418yescomplemented
23C2×C11×C22⋊Q8—21no—
24C2×C11×C22⋊Q8C2212yes—
25C2×C11×#121—21no—
26C2×C11×#121—22no—
27C2×C11×#121C2212yes—
28C2×C11×#117C2211yescharacteristic
29C22×C11×C4⋊C4C2211yescharacteristic
30C22×C11×C4⋊C4C2211yescharacteristic
31C11×#417—24no—
32C11×#416—24no—
33C2×C11×#103C2211yescharacteristic
34C2×C11×#103C2211yescharacteristic
35C2×C11×#103C2212yes—
36C2×C11×#102C2211yescharacteristic
37C2×C11×#102C2211yescharacteristic
38C2×C11×#102C2212yes—
39C11×#391—21no—
40C11×#390—21no—
41C11×#386—22no—
42C11×#380C2212yes—
43C11×#380C2212yes—
44C11×#340C2212yes—
45C11×#340C2212yes—
46C11×#340C2212yes—
47C11×#340C2212yes—
48C2×C11×#41—22no—
49C2×C11×#41—22no—
50C2×C11×#41—22no—
51C2×C11×#41—22no—
52C2×C11×#41—22no—
53C2×C11×#41—22no—
54C2×C11×#41—22no—
55C2×C11×#41—22no—
56C2×C11×#41—22no—
57C2×C11×#41C2×C414yes—
58C2×C11×#41C2×C414yes—
59C2×C11×#41D414yes—
60C22×Q8×C11D411yescharacteristic
61C22×Q8×C11C2311yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11—22no—
64C22×D4×C11D412yes—
65C22×D4×C11D411yescharacteristic
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C23×C4×C11—21no—
69C23×C4×C11—21no—
70C23×C4×C11C2312yes—
71C23×C4×C11C2311yescharacteristic
72C11×#131—232no—
73C2×C11×M16—24no—
74C2×C11×M16—22no—
75C2×C11×M16—22no—
76C2×C11×M16—24no—
77C2×C11×M16—24no—
78C2×C11×M16D414yescomplemented
79C22×C8×C11—24no—
80C22×C8×C11—22no—
81C22×C8×C11—22no—
82C22×C8×C11—24no—
83C22×C8×C11—24no—
84C22×C8×C11D414yescomplemented
85C22×C8×C11C2311yescharacteristic
86C22×C8×C11C2312yes—
87C22×C8×C11C2311yescharacteristic
88C11×C22⋊Q8—28no—
89C11×C22⋊Q8—24no—
90C11×C22⋊Q8C2×C418yescomplemented
91C11×#121—28no—
92C11×#121—216no—
93C11×#121—24no—
94C11×#121C2×C418yescomplemented
95C11×#117—22no—
96C11×#117—22no—
97C2×C11×C4⋊C4—21no—
98C2×C11×C4⋊C4—22no—
99C2×C11×C4⋊C4—22no—
100C2×C11×C4⋊C4—22no—
101C2×C11×C4⋊C4—22no—
102C2×C11×C4⋊C4—21no—
103C2×C11×C4⋊C4C2×C414yes—
104C2×C11×C4⋊C4C2312yes—
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C11×C4⋊C4C2312yes—
108C2×C11×C22⋊C4—22no—
109C2×C11×C22⋊C4—22no—
110C2×C11×C22⋊C4—21no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—22no—
113C2×C42×C11—21no—
114C11×#103—22no—
115C11×#103—22no—
116C11×#103—24no—
117C11×#102—22no—
118C11×#102—22no—
119C11×#102—24no—
120C11×#95—22no—
121C11×#95—22no—
122#20976C1111yesmaximal, characteristic, direct product factor, Sylow
123C24×C11—21no—
124C24×C11C2×D412yes—
125C24×C11C2×D411yescharacteristic
126C11×#41—28no—
127C11×#41—28no—
128C11×#41—28no—
129C11×#41—28no—
130C11×#41—28no—
131C11×#41—28no—
132C11×#41—44no—
133C11×#41—44no—
134C2×Q8×C11—22no—
135C2×Q8×C11—22no—
136C2×Q8×C11—21no—
137C2×Q8×C11—21no—
138C2×Q8×C11—21no—
139C2×Q8×C11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11C22⋊C414yes—
142C2×Q8×C11C22×C412yes—
143C2×D4×C11—24no—
144C2×D4×C11—24no—
145C2×D4×C11—24no—
146C2×D4×C11—28no—
147C2×D4×C11—22no—
148C2×D4×C11—22no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—42no—
155C2×D4×C11—42no—
156C2×D4×C11—82no—
157C2×D4×C11—82no—
158C2×D4×C11C22⋊C418yes—
159C2×D4×C11C22⋊C414yes—
160C2×D4×C11C22×C412yes—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—22no—
164C22×C4×C11—22no—
165C22×C4×C11—22no—
166C22×C4×C11—21no—
167C22×C4×C11—24no—
168C22×C4×C11—24no—
169C22×C4×C11—21no—
170C22×C4×C11—21no—
171C22×C4×C11—22no—
172C22×C4×C11—42no—
173C22×C4×C11—42no—
174C22×C4×C11—42no—
175C22×C4×C11—81no—
176C22×C4×C11—81no—
177C22×C4×C11—81no—
178C22×C4×C11—81no—
179C22×C4×C11C22×C414yes—
180C22×C4×C11C22×C412yes—
181C22×C4×C11C2×D412yes—
182C22×C4×C11C2×D414yes—
183C22×C4×C11C2×D411yescharacteristic
184C22×C4×C11C2×D412yes—
185C22×C4×C11C2×D412yes—
186C22×C4×C11C2×D412yes—
187C22×C4×C11#4112yes—
188C22×C4×C11#4112yes—
189C22×C4×C11C2411yescharacteristic
190C11×M16—216no—
191C11×M16—28no—
192C2×C8×C11—216no—
193C2×C8×C11—28no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—21no—
197C2×C8×C11—22no—
198C2×C8×C11—22no—
199C2×C8×C11—21no—
200C2×C8×C11C2×D412yes—
201C2×C8×C11C2×D414yes—
202C2×C8×C11C2×D412yes—
203C11×C4⋊C4—24no—
204C11×C4⋊C4—28no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—21no—
208C11×C4⋊C4—21no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—42no—
213C11×C4⋊C4C22×C414yes—
214C11×C22⋊C4—28no—
215C11×C22⋊C4—28no—
216C11×C22⋊C4—42no—
217C11×C22⋊C4—82no—
218C11×C22⋊C4—82no—
219C42×C11—42no—
220C22×#131C2×C1111yescharacteristic, complemented
221C2×#537C2×C1111yescharacteristic
222C2×#417C2×C1111yescharacteristic, complemented
223C2×#416C2×C1111yescharacteristic, complemented
224#2311C2×C1111yescharacteristic, complemented
225#1895C2×C1112yescomplemented
226#1894C2×C1112yescomplemented
227#1893C2×C1112yescomplemented
228#1892C2×C1112yescomplemented
229#1736C2×C1111yescharacteristic, complemented
230C2×#340C2×C1111yescharacteristic, complemented
231C23×C11—21no—
232C23×C11—21no—
233C23×C11—21no—
234C23×C11—21no—
235C23×C11—22no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—22no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11C2×C22⋊C414yes—
249C23×C11C2×C22⋊C412yes—
250C23×C11#12112yes—
251C23×C11#12112yes—
252C23×C11C22×D411yescharacteristic
253Q8×C11—28no—
254Q8×C11—22no—
255Q8×C11—22no—
256Q8×C11—41no—
257Q8×C11—41no—
258D4×C11—216no—
259D4×C11—22no—
260D4×C11—22no—
261D4×C11—28no—
262D4×C11—48no—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11—88no—
266C2×C4×C11—22no—
267C2×C4×C11—22no—
268C2×C4×C11—24no—
269C2×C4×C11—24no—
270C2×C4×C11—24no—
271C2×C4×C11—24no—
272C2×C4×C11—24no—
273C2×C4×C11—22no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11—48no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—42no—
282C2×C4×C11—41no—
283C2×C4×C11—42no—
284C2×C4×C11—41no—
285C2×C4×C11—42no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—84no—
289C2×C4×C11—84no—
290C2×C4×C11C2×C22⋊C414yes—
291C2×C4×C11C2×C22⋊C412yes—
292C2×C4×C11C4×D414yes—
293C2×C4×C11C4×D414yes—
294C2×C4×C11#12014yes—
295C2×C4×C11#12112yes—
296C2×C4×C11#12112yes—
297C2×C4×C11#12314yes—
298C2×C4×C11C23×C411yescharacteristic
299C2×C4×C11C22×D411yescharacteristic
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C22×D411yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C8×C11—22no—
305C8×C11—24no—
306C8×C11—22no—
307C22×#41C22×C1111yescharacteristic
308C22×#41C22×C1111yescharacteristic
309C2×#131—24no—
310C2×#131—24no—
311C2×#131—24no—
312C22×M16C22×C1112yes—
313C22×M16C22×C1111yescharacteristic
314C23×C8C22×C1112yes—
315C23×C8C22×C1111yescharacteristic
316#537—24no—
317#537C4×C1118yescomplemented
318C2×C22⋊Q8—21no—
319C2×C22⋊Q8C22×C1112yes—
320C2×#121—21no—
321C2×#121—22no—
322C2×#121C22×C1112yes—
323C2×#117C22×C1111yescharacteristic
324C22×C4⋊C4C22×C1111yescharacteristic
325C22×C4⋊C4C22×C1111yescharacteristic
326#417—24no—
327#416—24no—
328C2×#103C22×C1111yescharacteristic
329C2×#103C22×C1111yescharacteristic
330C2×#103C22×C1112yes—
331C2×#102C22×C1111yescharacteristic
332C2×#102C22×C1111yescharacteristic
333C2×#102C22×C1112yes—
334#391—21no—
335#390—21no—
336#386—22no—
337#380C22×C1112yes—
338#380C22×C1112yes—
339#340C22×C1112yes—
340#340C22×C1112yes—
341#340C22×C1112yes—
342#340C22×C1112yes—
343C22×C11—22no—
344C22×C11—22no—
345C22×C11—22no—
346C22×C11—22no—
347C22×C11—22no—
348C22×C11—22no—
349C22×C11—24no—
350C22×C11—24no—
351C22×C11—24no—
352C22×C11—42no—
353C22×C11—42no—
354C22×C11—42no—
355C22×C11—42no—
356C22×C11—42no—
357C22×C11—42no—
358C22×C11—42no—
359C22×C11—81no—
360C22×C11—81no—
361C22×C11—81no—
362C22×C11—81no—
363C22×C11#38614yes—
364C22×C11C22×C22⋊C411yescharacteristic
365C22×C11C2×#12111yescharacteristic
366C22×C11C2×#12111yescharacteristic
367C22×C11#57611yescharacteristic
368C22×C11#57711yescharacteristic
369C22×C11#57711yescharacteristic
370C22×C11#57811yescharacteristic
371C4×C11—24no—
372C4×C11—44no—
373C4×C11—42no—
374C4×C11—81no—
375C4×C11—81no—
376C4×C11—82no—
377C4×C11#38614yes—
378C4×C11C2×C4×D411yescharacteristic
379C4×C11C2×C4×D411yescharacteristic
380C4×C11C2×#12011yescharacteristic
381C4×C11C2×#12311yescharacteristic
382C2×#41—22no—
383C2×#41—22no—
384C2×#41—22no—
385C2×#41—22no—
386C2×#41—22no—
387C2×#41—22no—
388C2×#41—22no—
389C2×#41—22no—
390C2×#41—22no—
391C2×#41C2×C4×C1114yes—
392C2×#41C2×C4×C1114yes—
393C2×#41D4×C1114yes—
394C22×Q8D4×C1111yescharacteristic
395C22×Q8C23×C1111yescharacteristic
396C22×D4—21no—
397C22×D4—22no—
398C22×D4D4×C1112yes—
399C22×D4D4×C1111yescharacteristic
400C22×D4C23×C1111yescharacteristic
401C23×C4—21no—
402C23×C4—21no—
403C23×C4—21no—
404C23×C4C23×C1112yes—
405C23×C4C23×C1111yescharacteristic
406#131—232no—
407C2×M16—24no—
408C2×M16—22no—
409C2×M16—22no—
410C2×M16—24no—
411C2×M16—24no—
412C2×M16D4×C1114yescomplemented
413C22×C8—24no—
414C22×C8—22no—
415C22×C8—22no—
416C22×C8—24no—
417C22×C8—24no—
418C22×C8D4×C1114yescomplemented
419C22×C8C23×C1111yescharacteristic
420C22×C8C23×C1112yes—
421C22×C8C23×C1111yescharacteristic
422C22⋊Q8—28no—
423C22⋊Q8—24no—
424C22⋊Q8C2×C4×C1118yescomplemented
425#121—28no—
426#121—216no—
427#121—24no—
428#121C2×C4×C1118yescomplemented
429#117—22no—
430#117—22no—
431C2×C4⋊C4—21no—
432C2×C4⋊C4—22no—
433C2×C4⋊C4—22no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4C2×C4×C1114yes—
438C2×C4⋊C4C23×C1112yes—
439C2×C4⋊C4C23×C1111yescharacteristic
440C2×C4⋊C4C23×C1111yescharacteristic
441C2×C4⋊C4C23×C1112yes—
442C2×C22⋊C4—22no—
443C2×C22⋊C4—22no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—22no—
446C2×C22⋊C4—22no—
447C2×C42—21no—
448#103—22no—
449#103—22no—
450#103—24no—
451#102—22no—
452#102—22no—
453#102—24no—
454#95—22no—
455#95—22no—
456C2×C11—24no—
457C2×C11—44no—
458C2×C11—82no—
459C2×C11C2×#38611yescharacteristic
460C2×C11#289711yescharacteristic
461C2×C11#289811yescharacteristic
462C2×C11#306011yescharacteristic
463C2×C11#306111yescharacteristic
464C2×C11#306211yescharacteristic
465C2×C11#306311yescharacteristic
466C24—21no—
467C24C2×D4×C1112yes—
468C24C2×D4×C1111yescharacteristic
469#41—28no—
470#41—28no—
471#41—28no—
472#41—28no—
473#41—28no—
474#41—28no—
475#41—44no—
476#41—44no—
477C2×Q8—22no—
478C2×Q8—22no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8C11×C22⋊C414yes—
485C2×Q8C22×C4×C1112yes—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—28no—
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—21no—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4C11×C22⋊C418yes—
502C2×D4C11×C22⋊C414yes—
503C2×D4C22×C4×C1112yes—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4C22×C4×C1114yes—
523C22×C4C22×C4×C1112yes—
524C22×C4C2×D4×C1112yes—
525C22×C4C2×D4×C1114yes—
526C22×C4C2×D4×C1111yescharacteristic
527C22×C4C2×D4×C1112yes—
528C22×C4C2×D4×C1112yes—
529C22×C4C2×D4×C1112yes—
530C22×C4C11×#4112yes—
531C22×C4C11×#4112yes—
532C22×C4C24×C1111yescharacteristic
533M16—216no—
534M16—28no—
535C2×C8—216no—
536C2×C8—28no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—21no—
543C2×C8C2×D4×C1112yes—
544C2×C8C2×D4×C1114yes—
545C2×C8C2×D4×C1112yes—
546C4⋊C4—24no—
547C4⋊C4—28no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—42no—
556C4⋊C4C22×C4×C1114yes—
557C22⋊C4—28no—
558C22⋊C4—28no—
559C22⋊C4—42no—
560C22⋊C4—82no—
561C22⋊C4—82no—
562C42—42no—
563C11#2097611yescharacteristic, direct product factor, Sylow
564C23—21no—
565C23—21no—
566C23—21no—
567C23—21no—
568C23—22no—
569C23—22no—
570C23—22no—
571C23—22no—
572C23—22no—
573C23—22no—
574C23—22no—
575C23—41no—
576C23—41no—
577C23—41no—
578C23—41no—
579C23—41no—
580C23—41no—
581C23C2×C11×C22⋊C414yes—
582C23C2×C11×C22⋊C412yes—
583C23C11×#12112yes—
584C23C11×#12112yes—
585C23C22×D4×C1111yescharacteristic
586Q8—28no—
587Q8—22no—
588Q8—22no—
589Q8—41no—
590Q8—41no—
591D4—216no—
592D4—22no—
593D4—22no—
594D4—28no—
595D4—48no—
596D4—41no—
597D4—41no—
598D4—88no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—22no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—48no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—42no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4—84no—
623C2×C4C2×C11×C22⋊C414yes—
624C2×C4C2×C11×C22⋊C412yes—
625C2×C4C4×D4×C1114yes—
626C2×C4C4×D4×C1114yes—
627C2×C4C11×#12014yes—
628C2×C4C11×#12112yes—
629C2×C4C11×#12112yes—
630C2×C4C11×#12314yes—
631C2×C4C23×C4×C1111yescharacteristic
632C2×C4C22×D4×C1111yescharacteristic
633C2×C4C22×D4×C1111yescharacteristic
634C2×C4C22×D4×C1111yescharacteristic
635C2×C4C2×C11×#4111yescharacteristic
636C2×C4C2×C11×#4111yescharacteristic
637C8—22no—
638C8—24no—
639C8—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—22no—
646C22—24no—
647C22—24no—
648C22—24no—
649C22—42no—
650C22—42no—
651C22—42no—
652C22—42no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22C11×#38614yes—
661C22C22×C11×C22⋊C411yescharacteristic
662C22C2×C11×#12111yescharacteristic
663C22C2×C11×#12111yescharacteristic
664C22C11×#57611yescharacteristic
665C22C11×#57711yescharacteristic
666C22C11×#57711yescharacteristic
667C22C11×#57811yescharacteristic
668C4—24no—
669C4—44no—
670C4—42no—
671C4—81no—
672C4—81no—
673C4—82no—
674C4C11×#38614yes—
675C4C2×C4×D4×C1111yescharacteristic
676C4C2×C4×D4×C1111yescharacteristic
677C4C2×C11×#12011yescharacteristic
678C4C2×C11×#12311yescharacteristic
679C2—24no—
680C2—44no—
681C2—82no—
682C2C2×C11×#38611yescharacteristic
683C2C11×#289711yescharacteristic
684C2C11×#289811yescharacteristic
685C2C11×#306011yescharacteristic
686C2C11×#306111yescharacteristic
687C2C11×#306211yescharacteristic
688C2C11×#306311yescharacteristic
subgroupG/H
center, socleC23×C11C22×D4
commutatorC2×C4C23×C4×C11
Frattini, cosocleC22×C4C24×C11
prime radicalC2×C11×#537C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C22×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C11×#131C2semidirect
3. C2×C11×#417C2semidirect
4. C2×C11×#416C2semidirect
5. C11×#2311C2semidirect
6. C11×#1895C2semidirect
7. C11×#1894C2semidirect
8. C11×#1893C2semidirect
9. C11×#1892C2semidirect
10. C11×#1736C2semidirect
11. C2×C11×#340C2semidirect
22. C11×#537C4semidirect
78. C2×C11×M16D4semidirect
84. C22×C8×C11D4semidirect
90. C11×C22⋊Q8C2×C4semidirect
94. C11×#121C2×C4semidirect
122. #20976C11direct (N × H)
220. C22×#131C2×C11semidirect
222. C2×#417C2×C11semidirect
223. C2×#416C2×C11semidirect
224. #2311C2×C11semidirect
225. #1895C2×C11semidirect
226. #1894C2×C11semidirect
227. #1893C2×C11semidirect
228. #1892C2×C11semidirect
229. #1736C2×C11semidirect
230. C2×#340C2×C11semidirect
317. #537C4×C11semidirect
412. C2×M16D4×C11semidirect
418. C22×C8D4×C11semidirect
424. C22⋊Q8C2×C4×C11semidirect
428. #121C2×C4×C11semidirect
563. C11#20976direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C11×#1312
C2×C11×#5372
C2×C11×#4172
C2×C11×#4162
C11×#23112
C11×#18952
C11×#18942
C11×#18932
C11×#18922
C11×#17362
C2×C11×#3402
#2097611