Finite Group Databasebeta

← C11×#24033 #14601226

Subgroups — C11×#24033 #14601226

Order 2816.

1802 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D42×C11C211yesmaximal, characteristic
2C2×C11×#481C211yesmaximal, characteristic, complemented
3C22×C11×#102C211yesmaximal, characteristic, complemented
4C11×#2487C211yesmaximal, characteristic, complemented
5C11×#2041C212yesmaximal, complemented
6C11×#2034C212yesmaximal, complemented
7C11×#1893C211yesmaximal, characteristic, complemented
8C11×#1869C211yesmaximal, characteristic, complemented
9C11×#1864C212yesmaximal, complemented
10C11×#1786C211yesmaximal, characteristic, complemented
11C11×#1786C212yesmaximal, complemented
12C23×D4×C11—21no—
13C23×D4×C11C2211yescharacteristic
14C23×D4×C11C2211yescharacteristic
15C23×C8×C11C2211yescharacteristic, complemented
16D42×C11—24no—
17D42×C11—24no—
18C2×C11×#127C2211yescharacteristic
19C2×C11×#121—21no—
20C2×C11×#121C2211yescharacteristic
21C2×C11×#121C2211yescharacteristic
22C2×C11×#120—21no—
23C2×C11×#120—21no—
24C2×C4×D4×C11C2211yescharacteristic
25C2×C4×D4×C11C2211yescharacteristic
26C22×C11×C4⋊C4C2211yescharacteristic, complemented
27C11×#481—24no—
28C2×C11×#106C2212yescomplemented
29C2×C11×#102—24no—
30C2×C11×#102C2212yes—
31C2×C11×#102C2212yes—
32C2×C11×#102C2212yescomplemented
33C2×C11×#102C2212yescomplemented
34C2×C11×#102C2212yescomplemented
35C2×C11×#102C2212yescomplemented
36C2×C11×C22⋊C8C2211yescharacteristic, complemented
37C2×C11×C22⋊C8C2212yescomplemented
38C11×#400—21no—
39C11×#399—21no—
40C11×#389C2212yescomplemented
41C11×#386—21no—
42C11×#385—21no—
43C11×#380C2211yescharacteristic, complemented
44C11×#380C2212yescomplemented
45C11×#340C2212yescomplemented
46C11×#336C2212yescomplemented
47C25×C11—21no—
48C25×C11—21no—
49C22×D4×C11—24no—
50C22×D4×C11—28no—
51C22×D4×C11—21no—
52C22×D4×C11—21no—
53C22×D4×C11—22no—
54C22×D4×C11—22no—
55C22×D4×C11—24no—
56C22×D4×C11—21no—
57C22×D4×C11—21no—
58C22×D4×C11—21no—
59C22×D4×C11—22no—
60C22×D4×C11—21no—
61C22×D4×C11—42no—
62C22×D4×C11—42no—
63C22×D4×C11—44no—
64C22×D4×C11—44no—
65C22×D4×C11D411yescharacteristic
66C22×D4×C11D414yes—
67C22×D4×C11C2311yescharacteristic
68C22×D4×C11C2311yescharacteristic
69C22×D4×C11C2311yescharacteristic
70C23×C4×C11—21no—
71C23×C4×C11—21no—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C22×C8×C11—22no—
75C22×C8×C11—42no—
76C22×C8×C11C2312yes—
77C22×C8×C11C2312yes—
78C11×#127—22no—
79C11×#127—22no—
80C11×#121—28no—
81C11×#121—22no—
82C11×#121—22no—
83C11×#121—22no—
84C11×#121D414yes—
85C11×#120—28no—
86C11×#120—28no—
87C4×D4×C11—22no—
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C4×D4×C11—22no—
91C2×C11×C4⋊C4—22no—
92C2×C11×C4⋊C4—22no—
93C2×C11×C4⋊C4—21no—
94C2×C11×C4⋊C4—22no—
95C2×C11×C4⋊C4D411yescharacteristic
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2311yescharacteristic
99C2×C11×C22⋊C4—21no—
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—22no—
104C2×C11×C22⋊C4D411yescharacteristic
105C2×C11×C22⋊C4D411yescharacteristic
106C2×C42×C11C2311yescharacteristic
107C11×#106—24no—
108C11×#102—24no—
109C11×#102—24no—
110C11×#102—24no—
111C11×#102—24no—
112C11×#102—42no—
113C11×#102—42no—
114C11×C22⋊C8—22no—
115C11×C22⋊C8—42no—
116C11×#95—22no—
117C11×#95—21no—
118C11×#95—22no—
119#24033C1111yesmaximal, characteristic, direct product factor, Sylow
120C24×C11—21no—
121C24×C11—24no—
122C24×C11—21no—
123C24×C11—21no—
124C24×C11—24no—
125C24×C11—44no—
126C24×C11—44no—
127C24×C11—42no—
128C24×C11—42no—
129C24×C11—42no—
130C24×C11—42no—
131C24×C11—82no—
132C24×C11—82no—
133C24×C11C2×D411yescharacteristic
134C24×C11C2×D411yescharacteristic
135C2×D4×C11—22no—
136C2×D4×C11—22no—
137C2×D4×C11—28no—
138C2×D4×C11—24no—
139C2×D4×C11—24no—
140C2×D4×C11—24no—
141C2×D4×C11—24no—
142C2×D4×C11—24no—
143C2×D4×C11—24no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—22no—
148C2×D4×C11—22no—
149C2×D4×C11—22no—
150C2×D4×C11—22no—
151C2×D4×C11—22no—
152C2×D4×C11—44no—
153C2×D4×C11—48no—
154C2×D4×C11—44no—
155C2×D4×C11—44no—
156C2×D4×C11—42no—
157C2×D4×C11—48no—
158C2×D4×C11—432no—
159C2×D4×C11—44no—
160C2×D4×C11—42no—
161C2×D4×C11—42no—
162C2×D4×C11—42no—
163C2×D4×C11—42no—
164C2×D4×C11—44no—
165C2×D4×C11—42no—
166C2×D4×C11—82no—
167C2×D4×C11SD1614yes—
168C2×D4×C11C2×D412yes—
169C2×D4×C11C2×D412yes—
170C2×D4×C11C2×D412yes—
171C2×D4×C11#4114yes—
172C22×C4×C11—22no—
173C22×C4×C11—22no—
174C22×C4×C11—24no—
175C22×C4×C11—21no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—42no—
183C22×C4×C11—42no—
184C22×C4×C11—42no—
185C22×C4×C11—82no—
186C22×C4×C11C2×D411yescharacteristic
187C22×C4×C11C2×D411yescharacteristic
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D412yes—
190C22×C4×C11C2×D412yes—
191C22×C4×C11C2×D411yescharacteristic
192C22×C4×C11C2411yescharacteristic
193C2×C8×C11—22no—
194C2×C8×C11—22no—
195C2×C8×C11—22no—
196C2×C8×C11—22no—
197C2×C8×C11—22no—
198C2×C8×C11—22no—
199C2×C8×C11—44no—
200C11×C4⋊C4—22no—
201C11×C4⋊C4—21no—
202C11×C4⋊C4—22no—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—42no—
207C11×C4⋊C4—82no—
208C11×C4⋊C4C2×D412yes—
209C11×C22⋊C4—24no—
210C11×C22⋊C4—24no—
211C11×C22⋊C4—22no—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—22no—
214C11×C22⋊C4—42no—
215C11×C22⋊C4—82no—
216C42×C11—21no—
217C42×C11—21no—
218C2×D42C2×C1111yescharacteristic
219C2×#481C2×C1111yescharacteristic, complemented
220C22×#102C2×C1111yescharacteristic, complemented
221#2487C2×C1111yescharacteristic, complemented
222#2041C2×C1112yescomplemented
223#2034C2×C1112yescomplemented
224#1893C2×C1111yescharacteristic, complemented
225#1869C2×C1111yescharacteristic, complemented
226#1864C2×C1112yescomplemented
227#1786C2×C1112yescomplemented
228#1786C2×C1111yescharacteristic, complemented
229C23×C11—22no—
230C23×C11—22no—
231C23×C11—21no—
232C23×C11—22no—
233C23×C11—22no—
234C23×C11—24no—
235C23×C11—21no—
236C23×C11—22no—
237C23×C11—22no—
238C23×C11—22no—
239C23×C11—48no—
240C23×C11—48no—
241C23×C11—48no—
242C23×C11—41no—
243C23×C11—41no—
244C23×C11—42no—
245C23×C11—42no—
246C23×C11—42no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—42no—
252C23×C11—42no—
253C23×C11—48no—
254C23×C11—84no—
255C23×C11—88no—
256C23×C11—88no—
257C23×C11—88no—
258C23×C11—84no—
259C23×C11—88no—
260C23×C11#12012yes—
261C23×C11C2×SD1612yes—
262C23×C11C2×SD1612yes—
263C23×C11AGL(1,ℤ/8)12yes—
264C23×C11C22×D411yescharacteristic
265D4×C11—28no—
266D4×C11—22no—
267D4×C11—22no—
268D4×C11—22no—
269D4×C11—24no—
270D4×C11—24no—
271D4×C11—48no—
272D4×C11—48no—
273D4×C11—48no—
274D4×C11—48no—
275D4×C11—48no—
276D4×C11—41no—
277D4×C11—41no—
278D4×C11—42no—
279D4×C11—84no—
280D4×C11#12314yes—
281C2×C4×C11—21no—
282C2×C4×C11—22no—
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—22no—
286C2×C4×C11—24no—
287C2×C4×C11—21no—
288C2×C4×C11—21no—
289C2×C4×C11—22no—
290C2×C4×C11—22no—
291C2×C4×C11—22no—
292C2×C4×C11—48no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—42no—
298C2×C4×C11—42no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—84no—
305C2×C4×C11#12012yes—
306C2×C4×C11C2×SD1612yes—
307C2×C4×C11C22×D411yescharacteristic
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C2×#4112yes—
310C2×C4×C11H(5,𝔽2)12yes—
311C8×C11—42no—
312C8×C11—42no—
313C23×D4—21no—
314C23×D4C22×C1111yescharacteristic
315C23×D4C22×C1111yescharacteristic
316C23×C8C22×C1111yescharacteristic, complemented
317D42—24no—
318D42—24no—
319C2×#127C22×C1111yescharacteristic
320C2×#121—21no—
321C2×#121C22×C1111yescharacteristic
322C2×#121C22×C1111yescharacteristic
323C2×#120—21no—
324C2×#120—21no—
325C2×C4×D4C22×C1111yescharacteristic
326C2×C4×D4C22×C1111yescharacteristic
327C22×C4⋊C4C22×C1111yescharacteristic, complemented
328#481—24no—
329C2×#106C22×C1112yescomplemented
330C2×#102—24no—
331C2×#102C22×C1112yes—
332C2×#102C22×C1112yes—
333C2×#102C22×C1112yescomplemented
334C2×#102C22×C1112yescomplemented
335C2×#102C22×C1112yescomplemented
336C2×#102C22×C1112yescomplemented
337C2×C22⋊C8C22×C1111yescharacteristic, complemented
338C2×C22⋊C8C22×C1112yescomplemented
339#400—21no—
340#399—21no—
341#389C22×C1112yescomplemented
342#386—21no—
343#385—21no—
344#380C22×C1111yescharacteristic, complemented
345#380C22×C1112yescomplemented
346#340C22×C1112yescomplemented
347#336C22×C1112yescomplemented
348C22×C11—22no—
349C22×C11—22no—
350C22×C11—24no—
351C22×C11—24no—
352C22×C11—24no—
353C22×C11—22no—
354C22×C11—24no—
355C22×C11—41no—
356C22×C11—42no—
357C22×C11—41no—
358C22×C11—42no—
359C22×C11—44no—
360C22×C11—42no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—42no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—816no—
369C22×C11—816no—
370C22×C11—82no—
371C22×C11—82no—
372C22×C11—82no—
373C22×C11—82no—
374C22×C11#45014yes—
375C22×C11C2×#12011yescharacteristic
376C22×C11#54612yes—
377C22×C11C22×SD1611yescharacteristic
378C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
379C22×C11#57612yes—
380C4×C11—22no—
381C4×C11—22no—
382C4×C11—41no—
383C4×C11—42no—
384C4×C11—41no—
385C4×C11—82no—
386C4×C11—82no—
387C4×C11C2×#12311yescharacteristic
388C4×C11#53411yescharacteristic
389C4×C11#54612yes—
390C25—21no—
391C25—21no—
392C22×D4—24no—
393C22×D4—28no—
394C22×D4—21no—
395C22×D4—21no—
396C22×D4—22no—
397C22×D4—22no—
398C22×D4—24no—
399C22×D4—21no—
400C22×D4—21no—
401C22×D4—21no—
402C22×D4—22no—
403C22×D4—21no—
404C22×D4—42no—
405C22×D4—42no—
406C22×D4—44no—
407C22×D4—44no—
408C22×D4D4×C1111yescharacteristic
409C22×D4D4×C1114yes—
410C22×D4C23×C1111yescharacteristic
411C22×D4C23×C1111yescharacteristic
412C22×D4C23×C1111yescharacteristic
413C23×C4—21no—
414C23×C4—21no—
415C23×C4C23×C1111yescharacteristic
416C23×C4C23×C1111yescharacteristic
417C22×C8—22no—
418C22×C8—42no—
419C22×C8C23×C1112yes—
420C22×C8C23×C1112yes—
421#127—22no—
422#127—22no—
423#121—28no—
424#121—22no—
425#121—22no—
426#121—22no—
427#121D4×C1114yes—
428#120—28no—
429#120—28no—
430C4×D4—22no—
431C4×D4—22no—
432C4×D4—22no—
433C4×D4—22no—
434C2×C4⋊C4—22no—
435C2×C4⋊C4—22no—
436C2×C4⋊C4—21no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4D4×C1111yescharacteristic
439C2×C4⋊C4C23×C1112yes—
440C2×C4⋊C4C23×C1112yes—
441C2×C4⋊C4C23×C1111yescharacteristic
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C22⋊C4—22no—
447C2×C22⋊C4D4×C1111yescharacteristic
448C2×C22⋊C4D4×C1111yescharacteristic
449C2×C42C23×C1111yescharacteristic
450#106—24no—
451#102—24no—
452#102—24no—
453#102—24no—
454#102—24no—
455#102—42no—
456#102—42no—
457C22⋊C8—22no—
458C22⋊C8—42no—
459#95—22no—
460#95—21no—
461#95—22no—
462C2×C11—24no—
463C2×C11—42no—
464C2×C11—44no—
465C2×C11—82no—
466C2×C11—82no—
467C2×C11#240511yescharacteristic
468C2×C11C2×#45011yescharacteristic
469C2×C11#300811yescharacteristic
470C2×C11#329512yes—
471C2×C11#331812yes—
472C24—21no—
473C24—24no—
474C24—21no—
475C24—21no—
476C24—24no—
477C24—44no—
478C24—44no—
479C24—42no—
480C24—42no—
481C24—42no—
482C24—42no—
483C24—82no—
484C24—82no—
485C24C2×D4×C1111yescharacteristic
486C24C2×D4×C1111yescharacteristic
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—28no—
490C2×D4—24no—
491C2×D4—24no—
492C2×D4—24no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—22no—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—44no—
505C2×D4—48no—
506C2×D4—44no—
507C2×D4—44no—
508C2×D4—42no—
509C2×D4—48no—
510C2×D4—432no—
511C2×D4—44no—
512C2×D4—42no—
513C2×D4—42no—
514C2×D4—42no—
515C2×D4—42no—
516C2×D4—44no—
517C2×D4—42no—
518C2×D4—82no—
519C2×D4C11×SD1614yes—
520C2×D4C2×D4×C1112yes—
521C2×D4C2×D4×C1112yes—
522C2×D4C2×D4×C1112yes—
523C2×D4C11×#4114yes—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—24no—
527C22×C4—21no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—82no—
538C22×C4C2×D4×C1111yescharacteristic
539C22×C4C2×D4×C1111yescharacteristic
540C22×C4C2×D4×C1111yescharacteristic
541C22×C4C2×D4×C1112yes—
542C22×C4C2×D4×C1112yes—
543C22×C4C2×D4×C1111yescharacteristic
544C22×C4C24×C1111yescharacteristic
545C2×C8—22no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—44no—
552C4⋊C4—22no—
553C4⋊C4—21no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—42no—
559C4⋊C4—82no—
560C4⋊C4C2×D4×C1112yes—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—22no—
564C22⋊C4—24no—
565C22⋊C4—22no—
566C22⋊C4—42no—
567C22⋊C4—82no—
568C42—21no—
569C42—21no—
570C11#2403311yescharacteristic, direct product factor, Sylow
571C23—22no—
572C23—22no—
573C23—21no—
574C23—22no—
575C23—22no—
576C23—24no—
577C23—21no—
578C23—22no—
579C23—22no—
580C23—22no—
581C23—48no—
582C23—48no—
583C23—48no—
584C23—41no—
585C23—41no—
586C23—42no—
587C23—42no—
588C23—42no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—41no—
593C23—42no—
594C23—42no—
595C23—48no—
596C23—84no—
597C23—88no—
598C23—88no—
599C23—88no—
600C23—84no—
601C23—88no—
602C23C11×#12012yes—
603C23C2×C11×SD1612yes—
604C23C2×C11×SD1612yes—
605C23C11×AGL(1,ℤ/8)12yes—
606C23C22×D4×C1111yescharacteristic
607D4—28no—
608D4—22no—
609D4—22no—
610D4—22no—
611D4—24no—
612D4—24no—
613D4—48no—
614D4—48no—
615D4—48no—
616D4—48no—
617D4—48no—
618D4—41no—
619D4—41no—
620D4—42no—
621D4—84no—
622D4C11×#12314yes—
623C2×C4—21no—
624C2×C4—22no—
625C2×C4—21no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—24no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—84no—
647C2×C4C11×#12012yes—
648C2×C4C2×C11×SD1612yes—
649C2×C4C22×D4×C1111yescharacteristic
650C2×C4C22×D4×C1111yescharacteristic
651C2×C4C2×C11×#4112yes—
652C2×C4C11×H(5,𝔽2)12yes—
653C8—42no—
654C8—42no—
655C22—22no—
656C22—22no—
657C22—24no—
658C22—24no—
659C22—24no—
660C22—22no—
661C22—24no—
662C22—41no—
663C22—42no—
664C22—41no—
665C22—42no—
666C22—44no—
667C22—42no—
668C22—44no—
669C22—42no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—816no—
676C22—816no—
677C22—82no—
678C22—82no—
679C22—82no—
680C22—82no—
681C22C11×#45014yes—
682C22C2×C11×#12011yescharacteristic
683C22C11×#54612yes—
684C22C22×C11×SD1611yescharacteristic
685C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
686C22C11×#57612yes—
687C4—22no—
688C4—22no—
689C4—41no—
690C4—42no—
691C4—41no—
692C4—82no—
693C4—82no—
694C4C2×C11×#12311yescharacteristic
695C4C11×#53411yescharacteristic
696C4C11×#54612yes—
697C2—24no—
698C2—42no—
699C2—44no—
700C2—82no—
701C2—82no—
702C2C11×#240511yescharacteristic
703C2C2×C11×#45011yescharacteristic
704C2C11×#300811yescharacteristic
705C2C11×#329512yes—
706C2C11×#331812yes—
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
prime radicalC2×D42×C11C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C2×C4×D4×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C11×#481C2semidirect
3. C22×C11×#102C2semidirect
4. C11×#2487C2semidirect
5. C11×#2041C2semidirect
6. C11×#2034C2semidirect
7. C11×#1893C2semidirect
8. C11×#1869C2semidirect
9. C11×#1864C2semidirect
10. C11×#1786C2semidirect
11. C11×#1786C2semidirect
15. C23×C8×C11C22semidirect
26. C22×C11×C4⋊C4C22semidirect
28. C2×C11×#106C22semidirect
32. C2×C11×#102C22semidirect
33. C2×C11×#102C22semidirect
34. C2×C11×#102C22semidirect
35. C2×C11×#102C22semidirect
36. C2×C11×C22⋊C8C22semidirect
37. C2×C11×C22⋊C8C22semidirect
40. C11×#389C22semidirect
43. C11×#380C22semidirect
44. C11×#380C22semidirect
45. C11×#340C22semidirect
46. C11×#336C22semidirect
119. #24033C11direct (N × H)
219. C2×#481C2×C11semidirect
220. C22×#102C2×C11semidirect
221. #2487C2×C11semidirect
222. #2041C2×C11semidirect
223. #2034C2×C11semidirect
224. #1893C2×C11semidirect
225. #1869C2×C11semidirect
226. #1864C2×C11semidirect
227. #1786C2×C11semidirect
228. #1786C2×C11semidirect
316. C23×C8C22×C11semidirect
327. C22×C4⋊C4C22×C11semidirect
329. C2×#106C22×C11semidirect
333. C2×#102C22×C11semidirect
334. C2×#102C22×C11semidirect
335. C2×#102C22×C11semidirect
336. C2×#102C22×C11semidirect
337. C2×C22⋊C8C22×C11semidirect
338. C2×C22⋊C8C22×C11semidirect
341. #389C22×C11semidirect
344. #380C22×C11semidirect
345. #380C22×C11semidirect
346. #340C22×C11semidirect
347. #336C22×C11semidirect
570. C11#24033direct (N × H)

Maximal subgroups

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

subgroupindex
C2×D42×C112
C2×C11×#4812
C22×C11×#1022
C11×#24872
C11×#20412
C11×#20342
C11×#18932
C11×#18692
C11×#18642
C11×#17862
#2403311