Finite Group Databasebeta

← C11×#24354 #14601547

Subgroups — C11×#24354 #14601547

Order 2816.

1872 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C11×D8C211yesmaximal, characteristic, complemented
2C2×C11×#459C212yesmaximal, complemented
3C2×C11×#447C211yesmaximal, characteristic, complemented
4C11×#2433C211yesmaximal, characteristic, complemented
5D4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
6C11×#2054C212yesmaximal, complemented
7C11×#2011C212yesmaximal, complemented
8C11×#1893C211yesmaximal, characteristic, complemented
9C11×#1879C212yesmaximal, complemented
10C11×#1850C211yesmaximal, characteristic, complemented
11C11×#1786C211yesmaximal, characteristic, complemented
12C23×D4×C11C2211yescharacteristic
13C23×D4×C11C2211yescharacteristic
14C22×C11×D8—24no—
15C22×C11×D8—28no—
16C22×C11×D8C2212yes—
17C22×C11×D8C2212yes—
18C22×C11×D8C2211yescharacteristic, complemented
19C22×C11×D8C2211yescharacteristic, complemented
20C23×C8×C11C2211yescharacteristic
21C2×C11×#127C2212yescomplemented
22C2×C11×#121C2211yescharacteristic
23C2×C11×#120—21no—
24C2×C11×#120—21no—
25C2×C4×D4×C11C2212yescomplemented
26C22×C11×C22⋊C4—21no—
27C11×#459—28no—
28C11×#447—24no—
29C2×C11×C4⋊C8C2212yescomplemented
30C2×C11×#102C2211yescharacteristic, complemented
31C2×C11×#102C2212yescomplemented
32C2×C11×#102C2211yescharacteristic, complemented
33C2×C11×#102C2212yescomplemented
34C2×C11×#102C2212yescomplemented
35C2×C11×C22⋊C8C2211yescharacteristic
36C11×#392—22no—
37C11×#390C2212yescomplemented
38C11×#390C2212yescomplemented
39C11×#386—22no—
40C11×#380C2211yescharacteristic
41C11×#379—21no—
42C4×C11×C22⋊C4C2211yescharacteristic
43C11×#340C2212yescomplemented
44C11×#336C2212yescomplemented
45C25×C11—21no—
46C25×C11—21no—
47C22×D4×C11—24no—
48C22×D4×C11—24no—
49C22×D4×C11—21no—
50C22×D4×C11—22no—
51C22×D4×C11—21no—
52C22×D4×C11—21no—
53C22×D4×C11—22no—
54C22×D4×C11—22no—
55C22×D4×C11—22no—
56C22×D4×C11—22no—
57C22×D4×C11—42no—
58C22×D4×C11—42no—
59C22×D4×C11D414yescomplemented
60C22×D4×C11C2311yescharacteristic
61C22×D4×C11C2311yescharacteristic
62C22×D4×C11C2312yes—
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—22no—
65C23×C4×C11C2311yescharacteristic
66C2×C11×D8—232no—
67C2×C11×D8—24no—
68C2×C11×D8—24no—
69C2×C11×D8—24no—
70C2×C11×D8—24no—
71C2×C11×D8—22no—
72C2×C11×D8—22no—
73C2×C11×D8—24no—
74C2×C11×D8—24no—
75C2×C11×D8—42no—
76C2×C11×D8D418yescomplemented
77C22×C8×C11—22no—
78C22×C8×C11—24no—
79C22×C8×C11C2311yescharacteristic
80C22×C8×C11C2311yescharacteristic
81C22×C8×C11C2312yes—
82C11×#127—24no—
83C11×#127—42no—
84C11×#121—22no—
85C11×#121—22no—
86C11×#120—44no—
87C11×#120—44no—
88C4×D4×C11—24no—
89C4×D4×C11—42no—
90C2×C11×C4⋊C4C2311yescharacteristic
91C2×C11×C4⋊C4C2312yes—
92C2×C11×C22⋊C4—21no—
93C2×C11×C22⋊C4—22no—
94C2×C11×C22⋊C4—22no—
95C2×C11×C22⋊C4—22no—
96C2×C11×C22⋊C4—22no—
97C2×C11×C22⋊C4—21no—
98C2×C11×C22⋊C4—22no—
99C2×C11×C22⋊C4—44no—
100C2×C11×C22⋊C4D411yescharacteristic
101C2×C11×C22⋊C4D411yescharacteristic
102C2×C42×C11C2312yes—
103C11×C4⋊C8—24no—
104C11×#102—22no—
105C11×#102—22no—
106C11×#102—24no—
107C11×#102—24no—
108C11×#102—42no—
109C11×C22⋊C8—22no—
110C11×#95—21no—
111C11×#95D412yes—
112#24354C1111yesmaximal, characteristic, direct product factor, Sylow
113C24×C11—21no—
114C24×C11—21no—
115C24×C11—22no—
116C24×C11—24no—
117C24×C11—21no—
118C24×C11—44no—
119C24×C11—44no—
120C24×C11—42no—
121C24×C11—42no—
122C24×C11—42no—
123C24×C11—42no—
124C24×C11—42no—
125C24×C11—82no—
126C24×C11—82no—
127C24×C11C2×D411yescharacteristic
128C2×D4×C11—28no—
129C2×D4×C11—28no—
130C2×D4×C11—24no—
131C2×D4×C11—22no—
132C2×D4×C11—22no—
133C2×D4×C11—22no—
134C2×D4×C11—22no—
135C2×D4×C11—21no—
136C2×D4×C11—21no—
137C2×D4×C11—22no—
138C2×D4×C11—21no—
139C2×D4×C11—21no—
140C2×D4×C11—22no—
141C2×D4×C11—22no—
142C2×D4×C11—22no—
143C2×D4×C11—22no—
144C2×D4×C11—22no—
145C2×D4×C11—44no—
146C2×D4×C11—48no—
147C2×D4×C11—48no—
148C2×D4×C11—44no—
149C2×D4×C11—44no—
150C2×D4×C11—44no—
151C2×D4×C11—44no—
152C2×D4×C11—44no—
153C2×D4×C11—44no—
154C2×D4×C11—42no—
155C2×D4×C11—42no—
156C2×D4×C11—42no—
157C2×D4×C11—42no—
158C2×D4×C11—44no—
159C2×D4×C11—82no—
160C2×D4×C11—82no—
161C2×D4×C11C2×D414yes—
162C2×D4×C11C2×D412yes—
163C2×D4×C11C2×D412yes—
164C2×D4×C11C2×D414yes—
165C22×C4×C11—22no—
166C22×C4×C11—22no—
167C22×C4×C11—22no—
168C22×C4×C11—21no—
169C22×C4×C11—44no—
170C22×C4×C11—44no—
171C22×C4×C11—82no—
172C22×C4×C11C2×D412yes—
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2×D412yes—
175C22×C4×C11C2×D412yes—
176C22×C4×C11#4112yes—
177C22×C4×C11C2411yescharacteristic
178C11×D8—216no—
179C11×D8—216no—
180C11×D8—44no—
181C11×D8—44no—
182C2×C8×C11—28no—
183C2×C8×C11—22no—
184C2×C8×C11—22no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11—22no—
188C2×C8×C11—22no—
189C2×C8×C11C2×D414yes—
190C11×C4⋊C4—22no—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—22no—
194C11×C22⋊C4—22no—
195C11×C22⋊C4—44no—
196C11×C22⋊C4—44no—
197C11×C22⋊C4—42no—
198C11×C22⋊C4—42no—
199C11×C22⋊C4—44no—
200C11×C22⋊C4—44no—
201C11×C22⋊C4—82no—
202C11×C22⋊C4D814yescomplemented
203C42×C11—22no—
204C42×C11—22no—
205C23×D8C2×C1111yescharacteristic, complemented
206C2×#459C2×C1112yescomplemented
207C2×#447C2×C1111yescharacteristic, complemented
208#2433C2×C1111yescharacteristic, complemented
209D4×C22⋊C4C2×C1111yescharacteristic, complemented
210#2054C2×C1112yescomplemented
211#2011C2×C1112yescomplemented
212#1893C2×C1111yescharacteristic, complemented
213#1879C2×C1112yescomplemented
214#1850C2×C1111yescharacteristic, complemented
215#1786C2×C1111yescharacteristic, complemented
216C23×C11—22no—
217C23×C11—22no—
218C23×C11—22no—
219C23×C11—24no—
220C23×C11—22no—
221C23×C11—24no—
222C23×C11—48no—
223C23×C11—48no—
224C23×C11—41no—
225C23×C11—41no—
226C23×C11—42no—
227C23×C11—42no—
228C23×C11—42no—
229C23×C11—42no—
230C23×C11—41no—
231C23×C11—42no—
232C23×C11—42no—
233C23×C11—41no—
234C23×C11—42no—
235C23×C11—42no—
236C23×C11—42no—
237C23×C11—48no—
238C23×C11—41no—
239C23×C11—42no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—42no—
243C23×C11—84no—
244C23×C11—88no—
245C23×C11—88no—
246C23×C11—88no—
247C23×C11—88no—
248C23×C11—84no—
249C23×C11—84no—
250C23×C11#12112yes—
251C23×C11C2×D812yes—
252C23×C11AGL(1,ℤ/8)12yes—
253C23×C11C22×D411yescharacteristic
254D4×C11—22no—
255D4×C11—24no—
256D4×C11—22no—
257D4×C11—22no—
258D4×C11—24no—
259D4×C11—24no—
260D4×C11—48no—
261D4×C11—48no—
262D4×C11—41no—
263D4×C11—42no—
264D4×C11—41no—
265D4×C11—42no—
266D4×C11—42no—
267D4×C11—42no—
268D4×C11—88no—
269D4×C11—88no—
270D4×C11—84no—
271D4×C11#12014yescomplemented
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—22no—
277C2×C4×C11—24no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—41no—
282C2×C4×C11—42no—
283C2×C4×C11—42no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—42no—
287C2×C4×C11—88no—
288C2×C4×C11#12112yes—
289C2×C4×C11C2×D814yescomplemented
290C2×C4×C11C22×D411yescharacteristic
291C2×C4×C11C22×D412yes—
292C2×C4×C11C2×#4111yescharacteristic
293C2×C4×C11H(5,𝔽2)12yes—
294C8×C11—24no—
295C8×C11—41no—
296C8×C11—41no—
297C23×D4C22×C1111yescharacteristic
298C23×D4C22×C1111yescharacteristic
299C22×D8—24no—
300C22×D8—28no—
301C22×D8C22×C1112yes—
302C22×D8C22×C1112yes—
303C22×D8C22×C1111yescharacteristic, complemented
304C22×D8C22×C1111yescharacteristic, complemented
305C23×C8C22×C1111yescharacteristic
306C2×#127C22×C1112yescomplemented
307C2×#121C22×C1111yescharacteristic
308C2×#120—21no—
309C2×#120—21no—
310C2×C4×D4C22×C1112yescomplemented
311C22×C22⋊C4—21no—
312#459—28no—
313#447—24no—
314C2×C4⋊C8C22×C1112yescomplemented
315C2×#102C22×C1111yescharacteristic, complemented
316C2×#102C22×C1112yescomplemented
317C2×#102C22×C1111yescharacteristic, complemented
318C2×#102C22×C1112yescomplemented
319C2×#102C22×C1112yescomplemented
320C2×C22⋊C8C22×C1111yescharacteristic
321#392—22no—
322#390C22×C1112yescomplemented
323#390C22×C1112yescomplemented
324#386—22no—
325#380C22×C1111yescharacteristic
326#379—21no—
327C4×C22⋊C4C22×C1111yescharacteristic
328#340C22×C1112yescomplemented
329#336C22×C1112yescomplemented
330C22×C11—22no—
331C22×C11—24no—
332C22×C11—24no—
333C22×C11—22no—
334C22×C11—24no—
335C22×C11—44no—
336C22×C11—44no—
337C22×C11—42no—
338C22×C11—42no—
339C22×C11—42no—
340C22×C11—44no—
341C22×C11—44no—
342C22×C11—44no—
343C22×C11—42no—
344C22×C11—42no—
345C22×C11—816no—
346C22×C11—816no—
347C22×C11—82no—
348C22×C11—82no—
349C22×C11—82no—
350C22×C11—82no—
351C22×C11—82no—
352C22×C11—82no—
353C22×C11—81no—
354C22×C11—82no—
355C22×C11—82no—
356C22×C11—81no—
357C22×C11—81no—
358C22×C11#45914yescomplemented
359C22×C11C2×#12111yescharacteristic
360C22×C11D4212yes—
361C22×C11C22×D811yescharacteristic
362C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
363C22×C11#57612yes—
364C4×C11—22no—
365C4×C11—24no—
366C4×C11—42no—
367C4×C11—82no—
368C4×C11—81no—
369C4×C11C2×#12011yescharacteristic
370C4×C11#53411yescharacteristic
371C4×C11#54612yes—
372C25—21no—
373C25—21no—
374C22×D4—24no—
375C22×D4—24no—
376C22×D4—21no—
377C22×D4—22no—
378C22×D4—21no—
379C22×D4—21no—
380C22×D4—22no—
381C22×D4—22no—
382C22×D4—22no—
383C22×D4—22no—
384C22×D4—42no—
385C22×D4—42no—
386C22×D4D4×C1114yescomplemented
387C22×D4C23×C1111yescharacteristic
388C22×D4C23×C1112yes—
389C22×D4C23×C1111yescharacteristic
390C22×D4C23×C1111yescharacteristic
391C23×C4—22no—
392C23×C4C23×C1111yescharacteristic
393C2×D8—232no—
394C2×D8—24no—
395C2×D8—24no—
396C2×D8—24no—
397C2×D8—24no—
398C2×D8—22no—
399C2×D8—22no—
400C2×D8—24no—
401C2×D8—24no—
402C2×D8—42no—
403C2×D8D4×C1118yescomplemented
404C22×C8—22no—
405C22×C8—24no—
406C22×C8C23×C1111yescharacteristic
407C22×C8C23×C1111yescharacteristic
408C22×C8C23×C1112yes—
409#127—24no—
410#127—42no—
411#121—22no—
412#121—22no—
413#120—44no—
414#120—44no—
415C4×D4—24no—
416C4×D4—42no—
417C2×C4⋊C4C23×C1112yes—
418C2×C4⋊C4C23×C1111yescharacteristic
419C2×C22⋊C4—21no—
420C2×C22⋊C4—22no—
421C2×C22⋊C4—22no—
422C2×C22⋊C4—22no—
423C2×C22⋊C4—22no—
424C2×C22⋊C4—21no—
425C2×C22⋊C4—22no—
426C2×C22⋊C4—44no—
427C2×C22⋊C4D4×C1111yescharacteristic
428C2×C22⋊C4D4×C1111yescharacteristic
429C2×C42C23×C1112yes—
430C4⋊C8—24no—
431#102—22no—
432#102—22no—
433#102—24no—
434#102—24no—
435#102—42no—
436C22⋊C8—22no—
437#95—21no—
438#95D4×C1112yes—
439C2×C11—24no—
440C2×C11—44no—
441C2×C11—84no—
442C2×C11—82no—
443C2×C11—161no—
444C2×C11#241011yescharacteristic
445C2×C11C2×#45911yescharacteristic
446C2×C11#304111yescharacteristic
447C2×C11#326412yes—
448C2×C11D4×D812yes—
449C24—21no—
450C24—21no—
451C24—22no—
452C24—24no—
453C24—21no—
454C24—44no—
455C24—44no—
456C24—42no—
457C24—42no—
458C24—42no—
459C24—42no—
460C24—42no—
461C24—82no—
462C24—82no—
463C24C2×D4×C1111yescharacteristic
464C2×D4—28no—
465C2×D4—28no—
466C2×D4—24no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—22no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—44no—
482C2×D4—48no—
483C2×D4—48no—
484C2×D4—44no—
485C2×D4—44no—
486C2×D4—44no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—44no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—44no—
495C2×D4—82no—
496C2×D4—82no—
497C2×D4C2×D4×C1114yes—
498C2×D4C2×D4×C1112yes—
499C2×D4C2×D4×C1112yes—
500C2×D4C2×D4×C1114yes—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—44no—
506C22×C4—44no—
507C22×C4—82no—
508C22×C4C2×D4×C1112yes—
509C22×C4C2×D4×C1111yescharacteristic
510C22×C4C2×D4×C1112yes—
511C22×C4C2×D4×C1112yes—
512C22×C4C11×#4112yes—
513C22×C4C24×C1111yescharacteristic
514D8—216no—
515D8—216no—
516D8—44no—
517D8—44no—
518C2×C8—28no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8C2×D4×C1114yes—
526C4⋊C4—22no—
527C4⋊C4—21no—
528C4⋊C4—21no—
529C4⋊C4—22no—
530C22⋊C4—22no—
531C22⋊C4—44no—
532C22⋊C4—44no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—44no—
536C22⋊C4—44no—
537C22⋊C4—82no—
538C22⋊C4C11×D814yescomplemented
539C42—22no—
540C42—22no—
541C11#2435411yescharacteristic, direct product factor, Sylow
542C23—22no—
543C23—22no—
544C23—22no—
545C23—24no—
546C23—22no—
547C23—24no—
548C23—48no—
549C23—48no—
550C23—41no—
551C23—41no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—41no—
557C23—42no—
558C23—42no—
559C23—41no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—48no—
564C23—41no—
565C23—42no—
566C23—41no—
567C23—41no—
568C23—42no—
569C23—84no—
570C23—88no—
571C23—88no—
572C23—88no—
573C23—88no—
574C23—84no—
575C23—84no—
576C23C11×#12112yes—
577C23C2×C11×D812yes—
578C23C11×AGL(1,ℤ/8)12yes—
579C23C22×D4×C1111yescharacteristic
580D4—22no—
581D4—24no—
582D4—22no—
583D4—22no—
584D4—24no—
585D4—24no—
586D4—48no—
587D4—48no—
588D4—41no—
589D4—42no—
590D4—41no—
591D4—42no—
592D4—42no—
593D4—42no—
594D4—88no—
595D4—88no—
596D4—84no—
597D4C11×#12014yescomplemented
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—41no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—88no—
614C2×C4C11×#12112yes—
615C2×C4C2×C11×D814yescomplemented
616C2×C4C22×D4×C1111yescharacteristic
617C2×C4C22×D4×C1112yes—
618C2×C4C2×C11×#4111yescharacteristic
619C2×C4C11×H(5,𝔽2)12yes—
620C8—24no—
621C8—41no—
622C8—41no—
623C22—22no—
624C22—24no—
625C22—24no—
626C22—22no—
627C22—24no—
628C22—44no—
629C22—44no—
630C22—42no—
631C22—42no—
632C22—42no—
633C22—44no—
634C22—44no—
635C22—44no—
636C22—42no—
637C22—42no—
638C22—816no—
639C22—816no—
640C22—82no—
641C22—82no—
642C22—82no—
643C22—82no—
644C22—82no—
645C22—82no—
646C22—81no—
647C22—82no—
648C22—82no—
649C22—81no—
650C22—81no—
651C22C11×#45914yescomplemented
652C22C2×C11×#12111yescharacteristic
653C22D42×C1112yes—
654C22C22×C11×D811yescharacteristic
655C22C2×C11×AGL(1,ℤ/8)11yescharacteristic
656C22C11×#57612yes—
657C4—22no—
658C4—24no—
659C4—42no—
660C4—82no—
661C4—81no—
662C4C2×C11×#12011yescharacteristic
663C4C11×#53411yescharacteristic
664C4C11×#54612yes—
665C2—24no—
666C2—44no—
667C2—84no—
668C2—82no—
669C2—161no—
670C2C11×#241011yescharacteristic
671C2C2×C11×#45911yescharacteristic
672C2C11×#304111yescharacteristic
673C2C11×#326412yes—
674C2D4×C11×D812yes—
subgroupG/H
center, socleC23×C11C22×D4
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C11 ◁ C4×C11×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C23×C11×D8C2semidirect
2. C2×C11×#459C2semidirect
3. C2×C11×#447C2semidirect
4. C11×#2433C2semidirect
5. D4×C11×C22⋊C4C2semidirect
6. C11×#2054C2semidirect
7. C11×#2011C2semidirect
8. C11×#1893C2semidirect
9. C11×#1879C2semidirect
10. C11×#1850C2semidirect
11. C11×#1786C2semidirect
18. C22×C11×D8C22semidirect
19. C22×C11×D8C22semidirect
21. C2×C11×#127C22semidirect
25. C2×C4×D4×C11C22semidirect
29. C2×C11×C4⋊C8C22semidirect
30. C2×C11×#102C22semidirect
31. C2×C11×#102C22semidirect
32. C2×C11×#102C22semidirect
33. C2×C11×#102C22semidirect
34. C2×C11×#102C22semidirect
37. C11×#390C22semidirect
38. C11×#390C22semidirect
43. C11×#340C22semidirect
44. C11×#336C22semidirect
59. C22×D4×C11D4semidirect
76. C2×C11×D8D4semidirect
112. #24354C11direct (N × H)
202. C11×C22⋊C4D8semidirect
205. C23×D8C2×C11semidirect
206. C2×#459C2×C11semidirect
207. C2×#447C2×C11semidirect
208. #2433C2×C11semidirect
209. D4×C22⋊C4C2×C11semidirect
210. #2054C2×C11semidirect
211. #2011C2×C11semidirect
212. #1893C2×C11semidirect
213. #1879C2×C11semidirect
214. #1850C2×C11semidirect
215. #1786C2×C11semidirect
271. D4×C11#120semidirect
289. C2×C4×C11C2×D8semidirect
303. C22×D8C22×C11semidirect
304. C22×D8C22×C11semidirect
306. C2×#127C22×C11semidirect
310. C2×C4×D4C22×C11semidirect
314. C2×C4⋊C8C22×C11semidirect
315. C2×#102C22×C11semidirect
316. C2×#102C22×C11semidirect
317. C2×#102C22×C11semidirect
318. C2×#102C22×C11semidirect
319. C2×#102C22×C11semidirect
322. #390C22×C11semidirect
323. #390C22×C11semidirect
328. #340C22×C11semidirect
329. #336C22×C11semidirect
358. C22×C11#459semidirect
386. C22×D4D4×C11semidirect
403. C2×D8D4×C11semidirect
538. C22⋊C4C11×D8semidirect
541. C11#24354direct (N × H)
597. D4C11×#120semidirect
615. C2×C4C2×C11×D8semidirect
651. C22C11×#459semidirect

Maximal subgroups

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

subgroupindex
C23×C11×D82
C2×C11×#4592
C2×C11×#4472
C11×#24332
D4×C11×C22⋊C42
C11×#20542
C11×#20112
C11×#18932
C11×#18792
C11×#18502
C11×#17862
#2435411