Finite Group Databasebeta

← C11×#24231 #14601424

Subgroups — C11×#24231 #14601424

Order 2816.

1368 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3499C211yesmaximal, characteristic, complemented
2C11×#3036C211yesmaximal, characteristic, complemented
3C2×C11×#454C212yesmaximal, complemented
4C4×C11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
5C11×#2547C211yesmaximal, characteristic, complemented
6C11×#2038C212yesmaximal, complemented
7C11×#2003C212yesmaximal, complemented
8C11×#1980C211yesmaximal, characteristic, complemented
9C11×#1966C211yesmaximal, characteristic, complemented
10C11×#1806C211yesmaximal, characteristic, complemented
11C11×#1793C212yesmaximal, complemented
12C2×C11×2−1+4C2212yes—
13C2×C11×AGL(1,ℤ/8)C2212yes—
14C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
15D4×Q8×C11—21no—
16D4×Q8×C11—21no—
17C11×#547—21no—
18C11×#547—21no—
19C11×#547—22no—
20C11×#547—22no—
21C11×#536—22no—
22C11×#536C2212yes—
23C11×#532—21no—
24C11×#532C2211yescharacteristic
25C2×C11×C4⋊Q8—21no—
26C2×C11×C4⋊Q8C2211yescharacteristic
27C2×C11×#124C2212yes—
28C4×C11×#41C2211yescharacteristic
29C2×C4×D4×C11C2211yescharacteristic
30C11×#463—22no—
31C11×#461—21no—
32C11×#459—21no—
33C11×#454—28no—
34C11×#442—21no—
35C11×#440—21no—
36C4×C11×SD16—21no—
37C4×C11×D8—21no—
38C11×#428C2211yescharacteristic
39C11×#423C2211yescharacteristic
40C2×C11×#104C2212yes—
41C2×C11×#104C2212yes—
42C2×C11×#104C2212yes—
43C11×#418C2211yescharacteristic
44C11×#417C2211yescharacteristic
45C11×#417C2212yes—
46C2×C11×#101C2212yes—
47C2×C11×#101C2212yes—
48C4×C11×M16C2211yescharacteristic
49C11×#397—22no—
50C11×#391C2212yes—
51C11×#380—22no—
52C4×C11×C4⋊C4C2211yescharacteristic
53C11×#339C2212yes—
54C11×2−1+4—24no—
55C11×2−1+4—24no—
56C11×2−1+4—42no—
57C11×2−1+4—42no—
58C2×C11×#41—22no—
59C2×C11×#41—22no—
60C2×C11×#41—24no—
61C2×C11×#41C2312yes—
62C2×C11×#41C2311yescharacteristic
63C22×Q8×C11—22no—
64C22×Q8×C11—22no—
65C22×Q8×C11C2312yes—
66C22×D4×C11C2311yescharacteristic
67C23×C4×C11—21no—
68C11×AGL(1,ℤ/8)—22no—
69C11×AGL(1,ℤ/8)—24no—
70C11×AGL(1,ℤ/8)—42no—
71C11×AGL(1,ℤ/8)D414yescomplemented
72C2×C11×SD16—21no—
73C2×C11×SD16—22no—
74C2×C11×D8—21no—
75C2×C11×D8—22no—
76C2×C11×M16C2312yes—
77C2×C11×M16C2311yescharacteristic
78C2×C11×M16C2311yescharacteristic
79C11×C4⋊Q8—22no—
80C11×C4⋊Q8—22no—
81C11×C4⋊Q8—22no—
82C11×C4⋊Q8—21no—
83C11×C4⋊Q8—21no—
84C11×C4⋊Q8—21no—
85C11×C4⋊Q8—21no—
86C11×C4⋊Q8D411yescharacteristic
87C11×#127D411yescharacteristic
88C11×#124—22no—
89C11×#124—24no—
90C11×#124—42no—
91C11×#124D412yes—
92C11×#123—24no—
93C11×#123—24no—
94C11×#123—24no—
95C11×C22⋊Q8—24no—
96C11×C22⋊Q8—24no—
97C11×C22⋊Q8—22no—
98C11×C22⋊Q8—22no—
99C11×#121—22no—
100C11×#121—22no—
101C11×#121—21no—
102C11×#121—21no—
103C4×Q8×C11D411yescharacteristic
104C4×Q8×C11D411yescharacteristic
105C4×D4×C11—22no—
106C4×D4×C11—22no—
107C4×D4×C11—21no—
108C4×D4×C11—21no—
109C4×D4×C11—21no—
110C4×D4×C11—21no—
111C4×D4×C11—21no—
112C4×D4×C11—21no—
113C4×D4×C11—21no—
114C4×D4×C11—21no—
115C4×D4×C11D411yescharacteristic
116C4×D4×C11D411yescharacteristic
117C11×#117—21no—
118C11×#117C2311yescharacteristic
119C2×C11×C4⋊C4—22no—
120C2×C11×C4⋊C4—22no—
121C2×C11×C4⋊C4—21no—
122C2×C11×C4⋊C4D412yes—
123C2×C11×C4⋊C4D412yes—
124C2×C11×C4⋊C4C2311yescharacteristic
125C2×C11×C22⋊C4—21no—
126C2×C11×C22⋊C4—24no—
127C2×C42×C11—21no—
128C2×C42×C11C2312yes—
129C2×C42×C11C2311yescharacteristic
130C11×#107—21no—
131C11×#106—21no—
132C11×C4⋊C8—21no—
133C11×C4⋊C8—21no—
134C11×#104—24no—
135C11×#104—24no—
136C11×#104—42no—
137C11×#103—21no—
138C11×#103—22no—
139C11×#102—21no—
140C11×#102—22no—
141C11×#102—21no—
142C11×#102—21no—
143C11×#101—24no—
144C11×#101—42no—
145C11×#97—21no—
146C4×C8×C11—21no—
147C11×#95—21no—
148C11×#95—24no—
149#24231C1111yesmaximal, characteristic, direct product factor, Sylow
150C24×C11—21no—
151C11×#41—21no—
152C11×#41—21no—
153C11×#41—22no—
154C11×#41—22no—
155C11×#41—22no—
156C11×#41—22no—
157C11×#41—44no—
158C11×#41—44no—
159C11×#41—48no—
160C11×#41—48no—
161C11×#41—44no—
162C11×#41—44no—
163C11×#41C2×D412yes—
164C11×#41#4112yes—
165C2×Q8×C11—24no—
166C2×Q8×C11—22no—
167C2×Q8×C11—22no—
168C2×Q8×C11—22no—
169C2×Q8×C11—22no—
170C2×Q8×C11—22no—
171C2×Q8×C11—22no—
172C2×Q8×C11—44no—
173C2×Q8×C11—44no—
174C2×Q8×C11—44no—
175C2×Q8×C11—44no—
176C2×Q8×C11C2×D412yes—
177C2×Q8×C11C2×D411yescharacteristic
178C2×D4×C11—21no—
179C2×D4×C11—24no—
180C2×D4×C11—22no—
181C2×D4×C11—21no—
182C2×D4×C11—21no—
183C2×D4×C11—21no—
184C2×D4×C11—21no—
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—21no—
188C2×D4×C11C2×D412yes—
189C2×D4×C11C2×D412yes—
190C2×D4×C11C2×D411yescharacteristic
191C22×C4×C11—21no—
192C22×C4×C11—24no—
193C22×C4×C11—24no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—22no—
197C22×C4×C11—21no—
198C22×C4×C11—22no—
199C22×C4×C11—44no—
200C22×C4×C11—41no—
201C22×C4×C11—41no—
202C22×C4×C11C2×D414yes—
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2411yescharacteristic
206C11×SD16—24no—
207C11×SD16—44no—
208C11×D8—24no—
209C11×D8—44no—
210C11×M16—22no—
211C11×M16—21no—
212C11×M16—21no—
213C11×M16—22no—
214C11×M16—21no—
215C11×M16C2×D412yes—
216C2×C8×C11—21no—
217C2×C8×C11—21no—
218C2×C8×C11—22no—
219C11×C4⋊C4—24no—
220C11×C4⋊C4—24no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—22no—
224C11×C4⋊C4—22no—
225C11×C4⋊C4—22no—
226C11×C4⋊C4—22no—
227C11×C4⋊C4—21no—
228C11×C4⋊C4—21no—
229C11×C4⋊C4—21no—
230C11×C4⋊C4—21no—
231C11×C4⋊C4—42no—
232C11×C4⋊C4C2×D411yescharacteristic
233C11×C4⋊C4C2×D411yescharacteristic
234C11×C22⋊C4—24no—
235C11×C22⋊C4—24no—
236C11×C22⋊C4—21no—
237C11×C22⋊C4—21no—
238C11×C22⋊C4—21no—
239C11×C22⋊C4—22no—
240C11×C22⋊C4—22no—
241C11×C22⋊C4—48no—
242C11×C22⋊C4—41no—
243C11×C22⋊C4—41no—
244C42×C11—21no—
245C42×C11—21no—
246C42×C11—21no—
247C42×C11—22no—
248C42×C11—22no—
249C42×C11C2×D411yescharacteristic
250C42×C11C2×D411yescharacteristic
251C42×C11C2×D411yescharacteristic
252C42×C11C2×D411yescharacteristic
253#3499C2×C1111yescharacteristic, complemented
254#3036C2×C1111yescharacteristic, complemented
255C2×#454C2×C1112yescomplemented
256C4×AGL(1,ℤ/8)C2×C1111yescharacteristic, complemented
257#2547C2×C1111yescharacteristic, complemented
258#2038C2×C1112yescomplemented
259#2003C2×C1112yescomplemented
260#1980C2×C1111yescharacteristic, complemented
261#1966C2×C1111yescharacteristic, complemented
262#1806C2×C1111yescharacteristic, complemented
263#1793C2×C1112yescomplemented
264C23×C11—21no—
265C23×C11—22no—
266C23×C11—22no—
267C23×C11—42no—
268C23×C11—42no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11C22×D411yescharacteristic
272Q8×C11—21no—
273Q8×C11—22no—
274Q8×C11—22no—
275Q8×C11—48no—
276Q8×C11—42no—
277Q8×C11—42no—
278Q8×C11—42no—
279Q8×C11—42no—
280Q8×C11#12112yes—
281D4×C11—22no—
282D4×C11—22no—
283D4×C11—22no—
284D4×C11—21no—
285D4×C11—22no—
286D4×C11—22no—
287D4×C11—22no—
288D4×C11—42no—
289D4×C11—48no—
290D4×C11—42no—
291D4×C11—42no—
292D4×C11—41no—
293D4×C11—41no—
294D4×C11—42no—
295D4×C11#12112yes—
296C2×C4×C11—21no—
297C2×C4×C11—22no—
298C2×C4×C11—22no—
299C2×C4×C11—22no—
300C2×C4×C11—21no—
301C2×C4×C11—21no—
302C2×C4×C11—22no—
303C2×C4×C11—24no—
304C2×C4×C11—24no—
305C2×C4×C11—24no—
306C2×C4×C11—41no—
307C2×C4×C11—42no—
308C2×C4×C11—48no—
309C2×C4×C11—48no—
310C2×C4×C11—42no—
311C2×C4×C11—42no—
312C2×C4×C11—42no—
313C2×C4×C11—42no—
314C2×C4×C11—42no—
315C2×C4×C11—42no—
316C2×C4×C11—41no—
317C2×C4×C11—42no—
318C2×C4×C11—82no—
319C2×C4×C11—82no—
320C2×C4×C11#12011yescharacteristic
321C2×C4×C11#12011yescharacteristic
322C2×C4×C11#12011yescharacteristic
323C2×C4×C11#12011yescharacteristic
324C2×C4×C11C22×D411yescharacteristic
325C2×C4×C11C22×D411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C2×#4111yescharacteristic
328C2×C4×C11H(5,𝔽2)11yescharacteristic
329C2×C4×C11H(5,𝔽2)11yescharacteristic
330C8×C11—22no—
331C8×C11—41no—
332C8×C11—42no—
333C2×2−1+4C22×C1112yes—
334C2×AGL(1,ℤ/8)C22×C1112yes—
335C2×AGL(1,ℤ/8)C22×C1111yescharacteristic
336D4×Q8—21no—
337D4×Q8—21no—
338#547—21no—
339#547—21no—
340#547—22no—
341#547—22no—
342#536—22no—
343#536C22×C1112yes—
344#532—21no—
345#532C22×C1111yescharacteristic
346C2×C4⋊Q8—21no—
347C2×C4⋊Q8C22×C1111yescharacteristic
348C2×#124C22×C1112yes—
349C4×#41C22×C1111yescharacteristic
350C2×C4×D4C22×C1111yescharacteristic
351#463—22no—
352#461—21no—
353#459—21no—
354#454—28no—
355#442—21no—
356#440—21no—
357C4×SD16—21no—
358C4×D8—21no—
359#428C22×C1111yescharacteristic
360#423C22×C1111yescharacteristic
361C2×#104C22×C1112yes—
362C2×#104C22×C1112yes—
363C2×#104C22×C1112yes—
364#418C22×C1111yescharacteristic
365#417C22×C1111yescharacteristic
366#417C22×C1112yes—
367C2×#101C22×C1112yes—
368C2×#101C22×C1112yes—
369C4×M16C22×C1111yescharacteristic
370#397—22no—
371#391C22×C1112yes—
372#380—22no—
373C4×C4⋊C4C22×C1111yescharacteristic
374#339C22×C1112yes—
375C22×C11—21no—
376C22×C11—21no—
377C22×C11—22no—
378C22×C11—44no—
379C22×C11—41no—
380C22×C11—41no—
381C22×C11—42no—
382C22×C11—42no—
383C22×C11—42no—
384C22×C11—42no—
385C22×C11—82no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11C2×#12011yescharacteristic
389C22×C11D4211yescharacteristic
390C22×C11#54611yescharacteristic
391C4×C11—22no—
392C4×C11—21no—
393C4×C11—21no—
394C4×C11—21no—
395C4×C11—44no—
396C4×C11—42no—
397C4×C11—41no—
398C4×C11—41no—
399C4×C11—82no—
400C4×C11—81no—
401C4×C11#45412yescomplemented
402C4×C11C2×#12111yescharacteristic
403C4×C11#53511yescharacteristic
404C4×C11D4211yescharacteristic
405C4×C11#54611yescharacteristic
4062−1+4—24no—
4072−1+4—24no—
4082−1+4—42no—
4092−1+4—42no—
410C2×#41—22no—
411C2×#41—22no—
412C2×#41—24no—
413C2×#41C23×C1112yes—
414C2×#41C23×C1111yescharacteristic
415C22×Q8—22no—
416C22×Q8—22no—
417C22×Q8C23×C1112yes—
418C22×D4C23×C1111yescharacteristic
419C23×C4—21no—
420AGL(1,ℤ/8)—22no—
421AGL(1,ℤ/8)—24no—
422AGL(1,ℤ/8)—42no—
423AGL(1,ℤ/8)D4×C1114yescomplemented
424C2×SD16—21no—
425C2×SD16—22no—
426C2×D8—21no—
427C2×D8—22no—
428C2×M16C23×C1112yes—
429C2×M16C23×C1111yescharacteristic
430C2×M16C23×C1111yescharacteristic
431C4⋊Q8—22no—
432C4⋊Q8—22no—
433C4⋊Q8—22no—
434C4⋊Q8—21no—
435C4⋊Q8—21no—
436C4⋊Q8—21no—
437C4⋊Q8—21no—
438C4⋊Q8D4×C1111yescharacteristic
439#127D4×C1111yescharacteristic
440#124—22no—
441#124—24no—
442#124—42no—
443#124D4×C1112yes—
444#123—24no—
445#123—24no—
446#123—24no—
447C22⋊Q8—24no—
448C22⋊Q8—24no—
449C22⋊Q8—22no—
450C22⋊Q8—22no—
451#121—22no—
452#121—22no—
453#121—21no—
454#121—21no—
455C4×Q8D4×C1111yescharacteristic
456C4×Q8D4×C1111yescharacteristic
457C4×D4—22no—
458C4×D4—22no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—21no—
462C4×D4—21no—
463C4×D4—21no—
464C4×D4—21no—
465C4×D4—21no—
466C4×D4—21no—
467C4×D4D4×C1111yescharacteristic
468C4×D4D4×C1111yescharacteristic
469#117—21no—
470#117C23×C1111yescharacteristic
471C2×C4⋊C4—22no—
472C2×C4⋊C4—22no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4D4×C1112yes—
475C2×C4⋊C4D4×C1112yes—
476C2×C4⋊C4C23×C1111yescharacteristic
477C2×C22⋊C4—21no—
478C2×C22⋊C4—24no—
479C2×C42—21no—
480C2×C42C23×C1112yes—
481C2×C42C23×C1111yescharacteristic
482#107—21no—
483#106—21no—
484C4⋊C8—21no—
485C4⋊C8—21no—
486#104—24no—
487#104—24no—
488#104—42no—
489#103—21no—
490#103—22no—
491#102—21no—
492#102—22no—
493#102—21no—
494#102—21no—
495#101—24no—
496#101—42no—
497#97—21no—
498C4×C8—21no—
499#95—21no—
500#95—24no—
501C2×C11—21no—
502C2×C11—21no—
503C2×C11—42no—
504C2×C11—82no—
505C2×C11—82no—
506C2×C11#240811yescharacteristic
507C2×C11C2×#45411yescharacteristic
508C2×C11#302011yescharacteristic
509C24—21no—
510#41—21no—
511#41—21no—
512#41—22no—
513#41—22no—
514#41—22no—
515#41—22no—
516#41—44no—
517#41—44no—
518#41—48no—
519#41—48no—
520#41—44no—
521#41—44no—
522#41C2×D4×C1112yes—
523#41C11×#4112yes—
524C2×Q8—24no—
525C2×Q8—22no—
526C2×Q8—22no—
527C2×Q8—22no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8—22no—
531C2×Q8—44no—
532C2×Q8—44no—
533C2×Q8—44no—
534C2×Q8—44no—
535C2×Q8C2×D4×C1112yes—
536C2×Q8C2×D4×C1111yescharacteristic
537C2×D4—21no—
538C2×D4—24no—
539C2×D4—22no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—21no—
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4C2×D4×C1112yes—
548C2×D4C2×D4×C1112yes—
549C2×D4C2×D4×C1111yescharacteristic
550C22×C4—21no—
551C22×C4—24no—
552C22×C4—24no—
553C22×C4—21no—
554C22×C4—21no—
555C22×C4—22no—
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—44no—
559C22×C4—41no—
560C22×C4—41no—
561C22×C4C2×D4×C1114yes—
562C22×C4C2×D4×C1111yescharacteristic
563C22×C4C2×D4×C1111yescharacteristic
564C22×C4C24×C1111yescharacteristic
565SD16—24no—
566SD16—44no—
567D8—24no—
568D8—44no—
569M16—21no—
570M16—22no—
571M16—21no—
572M16—22no—
573M16—21no—
574M16C2×D4×C1112yes—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—22no—
578C4⋊C4—24no—
579C4⋊C4—24no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—42no—
591C4⋊C4C2×D4×C1111yescharacteristic
592C4⋊C4C2×D4×C1111yescharacteristic
593C22⋊C4—24no—
594C22⋊C4—24no—
595C22⋊C4—21no—
596C22⋊C4—21no—
597C22⋊C4—21no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—48no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—22no—
607C42—22no—
608C42C2×D4×C1111yescharacteristic
609C42C2×D4×C1111yescharacteristic
610C42C2×D4×C1111yescharacteristic
611C42C2×D4×C1111yescharacteristic
612C11#2423111yescharacteristic, direct product factor, Sylow
613C23—21no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—41no—
619C23—41no—
620C23C22×D4×C1111yescharacteristic
621Q8—21no—
622Q8—22no—
623Q8—22no—
624Q8—48no—
625Q8—42no—
626Q8—42no—
627Q8—42no—
628Q8—42no—
629Q8C11×#12112yes—
630D4—22no—
631D4—22no—
632D4—22no—
633D4—21no—
634D4—22no—
635D4—22no—
636D4—22no—
637D4—42no—
638D4—48no—
639D4—42no—
640D4—42no—
641D4—41no—
642D4—41no—
643D4—42no—
644D4C11×#12112yes—
645C2×C4—21no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—24no—
654C2×C4—24no—
655C2×C4—41no—
656C2×C4—42no—
657C2×C4—48no—
658C2×C4—48no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—42no—
667C2×C4—82no—
668C2×C4—82no—
669C2×C4C11×#12011yescharacteristic
670C2×C4C11×#12011yescharacteristic
671C2×C4C11×#12011yescharacteristic
672C2×C4C11×#12011yescharacteristic
673C2×C4C22×D4×C1111yescharacteristic
674C2×C4C22×D4×C1111yescharacteristic
675C2×C4C22×D4×C1111yescharacteristic
676C2×C4C2×C11×#4111yescharacteristic
677C2×C4C11×H(5,𝔽2)11yescharacteristic
678C2×C4C11×H(5,𝔽2)11yescharacteristic
679C8—22no—
680C8—41no—
681C8—42no—
682C22—21no—
683C22—21no—
684C22—22no—
685C22—44no—
686C22—41no—
687C22—41no—
688C22—42no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—82no—
693C22—81no—
694C22—81no—
695C22C2×C11×#12011yescharacteristic
696C22D42×C1111yescharacteristic
697C22C11×#54611yescharacteristic
698C4—22no—
699C4—21no—
700C4—21no—
701C4—21no—
702C4—44no—
703C4—42no—
704C4—41no—
705C4—41no—
706C4—82no—
707C4—81no—
708C4C11×#45412yescomplemented
709C4C2×C11×#12111yescharacteristic
710C4C11×#53511yescharacteristic
711C4D42×C1111yescharacteristic
712C4C11×#54611yescharacteristic
713C2—21no—
714C2—21no—
715C2—42no—
716C2—82no—
717C2—82no—
718C2C11×#240811yescharacteristic
719C2C2×C11×#45411yescharacteristic
720C2C11×#302011yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC22×C4C24×C11
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3499C2semidirect
2. C11×#3036C2semidirect
3. C2×C11×#454C2semidirect
4. C4×C11×AGL(1,ℤ/8)C2semidirect
5. C11×#2547C2semidirect
6. C11×#2038C2semidirect
7. C11×#2003C2semidirect
8. C11×#1980C2semidirect
9. C11×#1966C2semidirect
10. C11×#1806C2semidirect
11. C11×#1793C2semidirect
71. C11×AGL(1,ℤ/8)D4semidirect
149. #24231C11direct (N × H)
253. #3499C2×C11semidirect
254. #3036C2×C11semidirect
255. C2×#454C2×C11semidirect
256. C4×AGL(1,ℤ/8)C2×C11semidirect
257. #2547C2×C11semidirect
258. #2038C2×C11semidirect
259. #2003C2×C11semidirect
260. #1980C2×C11semidirect
261. #1966C2×C11semidirect
262. #1806C2×C11semidirect
263. #1793C2×C11semidirect
401. C4×C11#454semidirect
423. AGL(1,ℤ/8)D4×C11semidirect
612. C11#24231direct (N × H)
708. C4C11×#454semidirect

Maximal subgroups

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

subgroupindex
C11×#34992
C11×#30362
C2×C11×#4542
C4×C11×AGL(1,ℤ/8)2
C11×#25472
C11×#20382
C11×#20032
C11×#19802
C11×#19662
C11×#18062
C11×#17932
#2423111