Finite Group Databasebeta

← C11×#24032 #14601225

Subgroups — C11×#24032 #14601225

Order 2816.

1822 conjugacy classes of subgroups.

The subgroup lattice has 712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D42×C11C211yesmaximal, characteristic
2C2×C11×#480C211yesmaximal, characteristic, complemented
3C22×C11×#102C211yesmaximal, characteristic, complemented
4C11×#2486C211yesmaximal, characteristic, complemented
5C11×#2041C212yesmaximal, complemented
6C11×#2033C212yesmaximal, complemented
7C11×#1893C211yesmaximal, characteristic, complemented
8C11×#1869C211yesmaximal, characteristic, complemented
9C11×#1862C212yesmaximal, 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×#123—21no—
20C2×C11×#121—21no—
21C2×C11×#121C2211yescharacteristic
22C2×C11×#121C2211yescharacteristic
23C2×C11×#120—21no—
24C2×C11×#120—21no—
25C2×C4×D4×C11C2211yescharacteristic
26C2×C4×D4×C11C2211yescharacteristic
27C22×C11×C4⋊C4C2211yescharacteristic, complemented
28C11×#480—24no—
29C2×C11×#107C2212yescomplemented
30C2×C11×#102—24no—
31C2×C11×#102C2212yes—
32C2×C11×#102C2212yes—
33C2×C11×#102C2212yescomplemented
34C2×C11×#102C2212yescomplemented
35C2×C11×#102C2212yescomplemented
36C2×C11×#102C2212yescomplemented
37C2×C11×C22⋊C8C2211yescharacteristic, complemented
38C2×C11×C22⋊C8C2212yescomplemented
39C11×#398—21no—
40C11×#397—21no—
41C11×#389C2212yescomplemented
42C11×#381—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×#123—44no—
81C11×#121—28no—
82C11×#121—22no—
83C11×#121—22no—
84C11×#121—22no—
85C11×#121D414yes—
86C11×#120—28no—
87C11×#120—28no—
88C4×D4×C11—22no—
89C4×D4×C11—22no—
90C4×D4×C11—22no—
91C4×D4×C11—22no—
92C2×C11×C4⋊C4—22no—
93C2×C11×C4⋊C4—22no—
94C2×C11×C4⋊C4—21no—
95C2×C11×C4⋊C4—22no—
96C2×C11×C4⋊C4D411yescharacteristic
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C22⋊C4—21no—
101C2×C11×C22⋊C4—21no—
102C2×C11×C22⋊C4—21no—
103C2×C11×C22⋊C4—21no—
104C2×C11×C22⋊C4—22no—
105C2×C11×C22⋊C4D411yescharacteristic
106C2×C11×C22⋊C4D411yescharacteristic
107C2×C42×C11C2311yescharacteristic
108C11×#107—24no—
109C11×#102—24no—
110C11×#102—24no—
111C11×#102—24no—
112C11×#102—24no—
113C11×#102—42no—
114C11×#102—42no—
115C11×C22⋊C8—22no—
116C11×C22⋊C8—42no—
117C11×#95—22no—
118C11×#95—21no—
119C11×#95—22no—
120#24032C1111yesmaximal, characteristic, direct product factor, Sylow
121C24×C11—21no—
122C24×C11—24no—
123C24×C11—21no—
124C24×C11—21no—
125C24×C11—24no—
126C24×C11—44no—
127C24×C11—44no—
128C24×C11—42no—
129C24×C11—42no—
130C24×C11—42no—
131C24×C11—42no—
132C24×C11—82no—
133C24×C11—82no—
134C24×C11C2×D411yescharacteristic
135C24×C11C2×D411yescharacteristic
136C2×D4×C11—22no—
137C2×D4×C11—22no—
138C2×D4×C11—28no—
139C2×D4×C11—24no—
140C2×D4×C11—24no—
141C2×D4×C11—24no—
142C2×D4×C11—24no—
143C2×D4×C11—24no—
144C2×D4×C11—24no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—22no—
149C2×D4×C11—22no—
150C2×D4×C11—22no—
151C2×D4×C11—22no—
152C2×D4×C11—22no—
153C2×D4×C11—44no—
154C2×D4×C11—48no—
155C2×D4×C11—44no—
156C2×D4×C11—44no—
157C2×D4×C11—42no—
158C2×D4×C11—48no—
159C2×D4×C11—432no—
160C2×D4×C11—44no—
161C2×D4×C11—42no—
162C2×D4×C11—42no—
163C2×D4×C11—42no—
164C2×D4×C11—42no—
165C2×D4×C11—44no—
166C2×D4×C11—42no—
167C2×D4×C11—82no—
168C2×D4×C11D814yes—
169C2×D4×C11C2×D412yes—
170C2×D4×C11C2×D412yes—
171C2×D4×C11C2×D412yes—
172C2×D4×C11#4114yes—
173C22×C4×C11—22no—
174C22×C4×C11—22no—
175C22×C4×C11—24no—
176C22×C4×C11—21no—
177C22×C4×C11—21no—
178C22×C4×C11—21no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—22no—
183C22×C4×C11—42no—
184C22×C4×C11—42no—
185C22×C4×C11—42no—
186C22×C4×C11—42no—
187C22×C4×C11—42no—
188C22×C4×C11C2×D411yescharacteristic
189C22×C4×C11C2×D411yescharacteristic
190C22×C4×C11C2×D411yescharacteristic
191C22×C4×C11C2×D412yes—
192C22×C4×C11C2×D412yes—
193C22×C4×C11C2×D411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C2×C8×C11—22no—
196C2×C8×C11—22no—
197C2×C8×C11—22no—
198C2×C8×C11—22no—
199C2×C8×C11—22no—
200C2×C8×C11—22no—
201C2×C8×C11—44no—
202C11×C4⋊C4—22no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—22no—
205C11×C4⋊C4—22no—
206C11×C4⋊C4—22no—
207C11×C4⋊C4—22no—
208C11×C4⋊C4—42no—
209C11×C4⋊C4—44no—
210C11×C4⋊C4C2×D412yes—
211C11×C22⋊C4—24no—
212C11×C22⋊C4—24no—
213C11×C22⋊C4—22no—
214C11×C22⋊C4—24no—
215C11×C22⋊C4—22no—
216C11×C22⋊C4—42no—
217C11×C22⋊C4—44no—
218C42×C11—21no—
219C42×C11—21no—
220C2×D42C2×C1111yescharacteristic
221C2×#480C2×C1111yescharacteristic, complemented
222C22×#102C2×C1111yescharacteristic, complemented
223#2486C2×C1111yescharacteristic, complemented
224#2041C2×C1112yescomplemented
225#2033C2×C1112yescomplemented
226#1893C2×C1111yescharacteristic, complemented
227#1869C2×C1111yescharacteristic, complemented
228#1862C2×C1112yescomplemented
229#1786C2×C1112yescomplemented
230#1786C2×C1111yescharacteristic, complemented
231C23×C11—22no—
232C23×C11—22no—
233C23×C11—21no—
234C23×C11—22no—
235C23×C11—22no—
236C23×C11—24no—
237C23×C11—21no—
238C23×C11—22no—
239C23×C11—22no—
240C23×C11—22no—
241C23×C11—48no—
242C23×C11—48no—
243C23×C11—48no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—42no—
247C23×C11—42no—
248C23×C11—42no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—42no—
254C23×C11—42no—
255C23×C11—48no—
256C23×C11—84no—
257C23×C11—88no—
258C23×C11—88no—
259C23×C11—88no—
260C23×C11—84no—
261C23×C11—88no—
262C23×C11#12012yes—
263C23×C11C2×D812yes—
264C23×C11C2×D812yes—
265C23×C11AGL(1,ℤ/8)12yes—
266C23×C11C22×D411yescharacteristic
267D4×C11—28no—
268D4×C11—22no—
269D4×C11—22no—
270D4×C11—22no—
271D4×C11—24no—
272D4×C11—24no—
273D4×C11—48no—
274D4×C11—48no—
275D4×C11—48no—
276D4×C11—48no—
277D4×C11—48no—
278D4×C11—41no—
279D4×C11—41no—
280D4×C11—42no—
281D4×C11—84no—
282D4×C11#12314yescomplemented
283C2×C4×C11—21no—
284C2×C4×C11—22no—
285C2×C4×C11—21no—
286C2×C4×C11—22no—
287C2×C4×C11—22no—
288C2×C4×C11—24no—
289C2×C4×C11—21no—
290C2×C4×C11—21no—
291C2×C4×C11—22no—
292C2×C4×C11—22no—
293C2×C4×C11—22no—
294C2×C4×C11—48no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—41no—
298C2×C4×C11—41no—
299C2×C4×C11—42no—
300C2×C4×C11—42no—
301C2×C4×C11—42no—
302C2×C4×C11—42no—
303C2×C4×C11—42no—
304C2×C4×C11—42no—
305C2×C4×C11—42no—
306C2×C4×C11—84no—
307C2×C4×C11#12012yes—
308C2×C4×C11C2×D812yes—
309C2×C4×C11C22×D411yescharacteristic
310C2×C4×C11C22×D411yescharacteristic
311C2×C4×C11C2×#4112yes—
312C2×C4×C11H(5,𝔽2)12yes—
313C8×C11—42no—
314C8×C11—42no—
315C23×D4—21no—
316C23×D4C22×C1111yescharacteristic
317C23×D4C22×C1111yescharacteristic
318C23×C8C22×C1111yescharacteristic, complemented
319D42—24no—
320D42—24no—
321C2×#127C22×C1111yescharacteristic
322C2×#123—21no—
323C2×#121—21no—
324C2×#121C22×C1111yescharacteristic
325C2×#121C22×C1111yescharacteristic
326C2×#120—21no—
327C2×#120—21no—
328C2×C4×D4C22×C1111yescharacteristic
329C2×C4×D4C22×C1111yescharacteristic
330C22×C4⋊C4C22×C1111yescharacteristic, complemented
331#480—24no—
332C2×#107C22×C1112yescomplemented
333C2×#102—24no—
334C2×#102C22×C1112yes—
335C2×#102C22×C1112yes—
336C2×#102C22×C1112yescomplemented
337C2×#102C22×C1112yescomplemented
338C2×#102C22×C1112yescomplemented
339C2×#102C22×C1112yescomplemented
340C2×C22⋊C8C22×C1111yescharacteristic, complemented
341C2×C22⋊C8C22×C1112yescomplemented
342#398—21no—
343#397—21no—
344#389C22×C1112yescomplemented
345#381—21no—
346#380C22×C1111yescharacteristic, complemented
347#380C22×C1112yescomplemented
348#340C22×C1112yescomplemented
349#336C22×C1112yescomplemented
350C22×C11—22no—
351C22×C11—22no—
352C22×C11—24no—
353C22×C11—24no—
354C22×C11—24no—
355C22×C11—22no—
356C22×C11—24no—
357C22×C11—41no—
358C22×C11—42no—
359C22×C11—41no—
360C22×C11—42no—
361C22×C11—44no—
362C22×C11—42no—
363C22×C11—44no—
364C22×C11—42no—
365C22×C11—42no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—816no—
371C22×C11—816no—
372C22×C11—82no—
373C22×C11—82no—
374C22×C11—82no—
375C22×C11—82no—
376C22×C11#44714yes—
377C22×C11C2×#12011yescharacteristic
378C22×C11#54612yes—
379C22×C11C22×D811yescharacteristic
380C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
381C22×C11#57712yes—
382C4×C11—22no—
383C4×C11—22no—
384C4×C11—41no—
385C4×C11—42no—
386C4×C11—41no—
387C4×C11—82no—
388C4×C11—82no—
389C4×C11C2×#12311yescharacteristic
390C4×C11#53411yescharacteristic
391C4×C11#54612yes—
392C25—21no—
393C25—21no—
394C22×D4—24no—
395C22×D4—28no—
396C22×D4—21no—
397C22×D4—21no—
398C22×D4—22no—
399C22×D4—22no—
400C22×D4—24no—
401C22×D4—21no—
402C22×D4—21no—
403C22×D4—21no—
404C22×D4—22no—
405C22×D4—21no—
406C22×D4—42no—
407C22×D4—42no—
408C22×D4—44no—
409C22×D4—44no—
410C22×D4D4×C1111yescharacteristic
411C22×D4D4×C1114yes—
412C22×D4C23×C1111yescharacteristic
413C22×D4C23×C1111yescharacteristic
414C22×D4C23×C1111yescharacteristic
415C23×C4—21no—
416C23×C4—21no—
417C23×C4C23×C1111yescharacteristic
418C23×C4C23×C1111yescharacteristic
419C22×C8—22no—
420C22×C8—42no—
421C22×C8C23×C1112yes—
422C22×C8C23×C1112yes—
423#127—22no—
424#127—22no—
425#123—44no—
426#121—28no—
427#121—22no—
428#121—22no—
429#121—22no—
430#121D4×C1114yes—
431#120—28no—
432#120—28no—
433C4×D4—22no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—22no—
437C2×C4⋊C4—22no—
438C2×C4⋊C4—22no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—22no—
441C2×C4⋊C4D4×C1111yescharacteristic
442C2×C4⋊C4C23×C1112yes—
443C2×C4⋊C4C23×C1112yes—
444C2×C4⋊C4C23×C1111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—21no—
448C2×C22⋊C4—21no—
449C2×C22⋊C4—22no—
450C2×C22⋊C4D4×C1111yescharacteristic
451C2×C22⋊C4D4×C1111yescharacteristic
452C2×C42C23×C1111yescharacteristic
453#107—24no—
454#102—24no—
455#102—24no—
456#102—24no—
457#102—24no—
458#102—42no—
459#102—42no—
460C22⋊C8—22no—
461C22⋊C8—42no—
462#95—22no—
463#95—21no—
464#95—22no—
465C2×C11—24no—
466C2×C11—42no—
467C2×C11—44no—
468C2×C11—82no—
469C2×C11—82no—
470C2×C11#240511yescharacteristic
471C2×C11C2×#44711yescharacteristic
472C2×C11#300911yescharacteristic
473C2×C11#329412yes—
474C2×C11#331012yes—
475C24—21no—
476C24—24no—
477C24—21no—
478C24—21no—
479C24—24no—
480C24—44no—
481C24—44no—
482C24—42no—
483C24—42no—
484C24—42no—
485C24—42no—
486C24—82no—
487C24—82no—
488C24C2×D4×C1111yescharacteristic
489C24C2×D4×C1111yescharacteristic
490C2×D4—22no—
491C2×D4—22no—
492C2×D4—28no—
493C2×D4—24no—
494C2×D4—24no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—22no—
504C2×D4—22no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—44no—
508C2×D4—48no—
509C2×D4—44no—
510C2×D4—44no—
511C2×D4—42no—
512C2×D4—48no—
513C2×D4—432no—
514C2×D4—44no—
515C2×D4—42no—
516C2×D4—42no—
517C2×D4—42no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—42no—
521C2×D4—82no—
522C2×D4C11×D814yes—
523C2×D4C2×D4×C1112yes—
524C2×D4C2×D4×C1112yes—
525C2×D4C2×D4×C1112yes—
526C2×D4C11×#4114yes—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—24no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—22no—
537C22×C4—42no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4C2×D4×C1111yescharacteristic
543C22×C4C2×D4×C1111yescharacteristic
544C22×C4C2×D4×C1111yescharacteristic
545C22×C4C2×D4×C1112yes—
546C22×C4C2×D4×C1112yes—
547C22×C4C2×D4×C1111yescharacteristic
548C22×C4C24×C1111yescharacteristic
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—44no—
556C4⋊C4—22no—
557C4⋊C4—21no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4C2×D4×C1112yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—22no—
568C22⋊C4—24no—
569C22⋊C4—22no—
570C22⋊C4—42no—
571C22⋊C4—44no—
572C42—21no—
573C42—21no—
574C11#2403211yescharacteristic, direct product factor, Sylow
575C23—22no—
576C23—22no—
577C23—21no—
578C23—22no—
579C23—22no—
580C23—24no—
581C23—21no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—48no—
586C23—48no—
587C23—48no—
588C23—41no—
589C23—41no—
590C23—42no—
591C23—42no—
592C23—42no—
593C23—41no—
594C23—41no—
595C23—41no—
596C23—41no—
597C23—42no—
598C23—42no—
599C23—48no—
600C23—84no—
601C23—88no—
602C23—88no—
603C23—88no—
604C23—84no—
605C23—88no—
606C23C11×#12012yes—
607C23C2×C11×D812yes—
608C23C2×C11×D812yes—
609C23C11×AGL(1,ℤ/8)12yes—
610C23C22×D4×C1111yescharacteristic
611D4—28no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—24no—
616D4—24no—
617D4—48no—
618D4—48no—
619D4—48no—
620D4—48no—
621D4—48no—
622D4—41no—
623D4—41no—
624D4—42no—
625D4—84no—
626D4C11×#12314yescomplemented
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—21no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—48no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—42no—
646C2×C4—42no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—84no—
651C2×C4C11×#12012yes—
652C2×C4C2×C11×D812yes—
653C2×C4C22×D4×C1111yescharacteristic
654C2×C4C22×D4×C1111yescharacteristic
655C2×C4C2×C11×#4112yes—
656C2×C4C11×H(5,𝔽2)12yes—
657C8—42no—
658C8—42no—
659C22—22no—
660C22—22no—
661C22—24no—
662C22—24no—
663C22—24no—
664C22—22no—
665C22—24no—
666C22—41no—
667C22—42no—
668C22—41no—
669C22—42no—
670C22—44no—
671C22—42no—
672C22—44no—
673C22—42no—
674C22—42no—
675C22—42no—
676C22—42no—
677C22—42no—
678C22—42no—
679C22—816no—
680C22—816no—
681C22—82no—
682C22—82no—
683C22—82no—
684C22—82no—
685C22C11×#44714yes—
686C22C2×C11×#12011yescharacteristic
687C22C11×#54612yes—
688C22C22×C11×D811yescharacteristic
689C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
690C22C11×#57712yes—
691C4—22no—
692C4—22no—
693C4—41no—
694C4—42no—
695C4—41no—
696C4—82no—
697C4—82no—
698C4C2×C11×#12311yescharacteristic
699C4C11×#53411yescharacteristic
700C4C11×#54612yes—
701C2—24no—
702C2—42no—
703C2—44no—
704C2—82no—
705C2—82no—
706C2C11×#240511yescharacteristic
707C2C2×C11×#44711yescharacteristic
708C2C11×#300911yescharacteristic
709C2C11×#329412yes—
710C2C11×#331012yes—
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×#480C2semidirect
3. C22×C11×#102C2semidirect
4. C11×#2486C2semidirect
5. C11×#2041C2semidirect
6. C11×#2033C2semidirect
7. C11×#1893C2semidirect
8. C11×#1869C2semidirect
9. C11×#1862C2semidirect
10. C11×#1786C2semidirect
11. C11×#1786C2semidirect
15. C23×C8×C11C22semidirect
27. C22×C11×C4⋊C4C22semidirect
29. C2×C11×#107C22semidirect
33. C2×C11×#102C22semidirect
34. C2×C11×#102C22semidirect
35. C2×C11×#102C22semidirect
36. C2×C11×#102C22semidirect
37. C2×C11×C22⋊C8C22semidirect
38. C2×C11×C22⋊C8C22semidirect
41. C11×#389C22semidirect
43. C11×#380C22semidirect
44. C11×#380C22semidirect
45. C11×#340C22semidirect
46. C11×#336C22semidirect
120. #24032C11direct (N × H)
221. C2×#480C2×C11semidirect
222. C22×#102C2×C11semidirect
223. #2486C2×C11semidirect
224. #2041C2×C11semidirect
225. #2033C2×C11semidirect
226. #1893C2×C11semidirect
227. #1869C2×C11semidirect
228. #1862C2×C11semidirect
229. #1786C2×C11semidirect
230. #1786C2×C11semidirect
282. D4×C11#123semidirect
318. C23×C8C22×C11semidirect
330. C22×C4⋊C4C22×C11semidirect
332. C2×#107C22×C11semidirect
336. C2×#102C22×C11semidirect
337. C2×#102C22×C11semidirect
338. C2×#102C22×C11semidirect
339. C2×#102C22×C11semidirect
340. C2×C22⋊C8C22×C11semidirect
341. C2×C22⋊C8C22×C11semidirect
344. #389C22×C11semidirect
346. #380C22×C11semidirect
347. #380C22×C11semidirect
348. #340C22×C11semidirect
349. #336C22×C11semidirect
574. C11#24032direct (N × H)
626. D4C11×#123semidirect

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×#4802
C22×C11×#1022
C11×#24862
C11×#20412
C11×#20332
C11×#18932
C11×#18692
C11×#18622
C11×#17862
#2403211