Finite Group Databasebeta

← C11×#19804 #14596997

Subgroups — C11×#19804 #14596997

Order 2816.

720 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1Q8×C11×SD16C211yesmaximal, characteristic, complemented
2C11×#3362C211yesmaximal, characteristic, complemented
3D4×C11×SD16C211yesmaximal, characteristic, complemented
4C11×#3274C211yesmaximal, characteristic
5C11×#1715C211yesmaximal, characteristic, complemented
6C11×#1691C211yesmaximal, characteristic, complemented
7C11×#1677C211yesmaximal, characteristic, complemented
8C11×#1668C211yesmaximal, characteristic, complemented
9C11×#1666C211yesmaximal, characteristic, complemented
10C11×#1642C211yesmaximal, characteristic, complemented
11C11×#1629C211yesmaximal, characteristic, complemented
12C11×#1627C211yesmaximal, characteristic, complemented
13C11×#1623C211yesmaximal, characteristic, complemented
14C11×#1583C211yesmaximal, characteristic, complemented
15C11×SD16⋊C8C211yesmaximal, characteristic, complemented
16C2×C11×AGL(1,ℤ/8)—21no—
17C22×C11×SD16—21no—
18Q82×C11C2211yescharacteristic, complemented
19C11×#550C2211yescharacteristic
20D4×Q8×C11C2211yescharacteristic
21D42×C11C2211yescharacteristic
22C11×#498—21no—
23C11×#498C2211yescharacteristic, complemented
24C11×#493C2211yescharacteristic
25C11×#492C2211yescharacteristic
26C11×#492C2211yescharacteristic
27C11×#486—21no—
28C11×#486C2211yescharacteristic, complemented
29C11×#486C2211yescharacteristic, complemented
30C11×#476—21no—
31C11×#476—21no—
32C11×#476C2211yescharacteristic
33C11×#476C2211yescharacteristic
34C11×#475—21no—
35C11×#475C2211yescharacteristic, complemented
36C11×#469—21no—
37C11×#465—21no—
38C11×#461C2211yescharacteristic
39C11×#460—21no—
40C11×#460C2211yescharacteristic
41C11×#460C2211yescharacteristic
42C11×#460C2211yescharacteristic, complemented
43C11×#459C2211yescharacteristic
44C11×#450—21no—
45C11×#449—21no—
46C11×#448—21no—
47C11×#447—21no—
48C8×Q8×C11C2211yescharacteristic, complemented
49C8×Q8×C11C2211yescharacteristic, complemented
50C4×C11×SD16—21no—
51C4×C11×SD16—21no—
52C4×C11×SD16C2211yescharacteristic
53C4×C11×SD16C2211yescharacteristic
54C11×#436C2211yescharacteristic
55C8×D4×C11C2211yescharacteristic
56C11×#335C2211yescharacteristic, complemented
57C11×#334C2211yescharacteristic, complemented
58C11×#333C2211yescharacteristic, complemented
59C11×#332C2211yescharacteristic, complemented
60C11×#331C2211yescharacteristic
61C11×#331C2211yescharacteristic, complemented
62C11×Q8⋊C8C2211yescharacteristic, complemented
63C11×Q8⋊C8C2211yescharacteristic, complemented
64C11×D4⋊C8C2211yescharacteristic
65C11×D4⋊C8C2211yescharacteristic
66C11×#322C2211yescharacteristic, complemented
67C2×C11×#41—21no—
68C22×Q8×C11—21no—
69C22×D4×C11—21no—
70C22×D4×C11—21no—
71C11×AGL(1,ℤ/8)—44no—
72C2×C11×SD16—21no—
73C2×C11×SD16—21no—
74C2×C11×SD16—21no—
75C2×C11×SD16—21no—
76C2×C11×SD16—21no—
77C2×C11×SD16—21no—
78C2×C11×SD16—41no—
79C2×C11×SD16—44no—
80C2×C11×SD16D411yescharacteristic
81C2×C11×SD16D411yescharacteristic
82C2×C11×D8—21no—
83C2×C11×D8—21no—
84C2×C11×D8—21no—
85C2×C11×M16—21no—
86C22×C8×C11—21no—
87C11×C4⋊Q8—21no—
88C11×C4⋊Q8—21no—
89C11×C4⋊Q8—21no—
90C11×C4⋊Q8—41no—
91C11×C4⋊Q8C2311yescharacteristic
92C11×C4⋊Q8C2311yescharacteristic
93C11×#127—21no—
94C11×#127C2311yescharacteristic
95C11×#127C2311yescharacteristic
96C11×C22⋊Q8—21no—
97C11×C22⋊Q8—41no—
98C11×#121—21no—
99C11×#121—21no—
100C11×#121—21no—
101C11×#121—41no—
102C11×#120—41no—
103C4×Q8×C11—21no—
104C4×Q8×C11—21no—
105C4×Q8×C11C2311yescharacteristic
106C4×Q8×C11C2311yescharacteristic
107C4×D4×C11—21no—
108C4×D4×C11—21no—
109C4×D4×C11C2311yescharacteristic
110C4×D4×C11C2311yescharacteristic
111C11×#106—21no—
112C11×#106—21no—
113C11×#106—21no—
114C11×#106—21no—
115C11×#106—21no—
116C11×#106D411yescharacteristic
117C11×#106D411yescharacteristic
118C11×C4⋊C8—21no—
119C11×C4⋊C8—21no—
120C11×C4⋊C8C2311yescharacteristic
121C11×C4⋊C8C2311yescharacteristic
122C11×C4⋊C8C2311yescharacteristic
123C11×C4⋊C8C2311yescharacteristic
124C11×#103—21no—
125C11×#103—21no—
126C11×#103D411yescharacteristic
127C11×#103D411yescharacteristic
128C11×#102—21no—
129C11×#102—21no—
130C11×#102—21no—
131C11×#102—21no—
132C11×#102—21no—
133C11×#102—21no—
134C11×#102—21no—
135C11×#102—21no—
136C11×#102—41no—
137C11×#102D411yescharacteristic
138C11×#102D411yescharacteristic
139C11×C22⋊C8—21no—
140C11×C22⋊C8—21no—
141C4×C8×C11—21no—
142C4×C8×C11—21no—
143C4×C8×C11C2311yescharacteristic
144C4×C8×C11C2311yescharacteristic
145C4×C8×C11C2311yescharacteristic
146#19804C1111yesmaximal, characteristic, direct product factor, Sylow
147C24×C11—41no—
148C11×#41—42no—
149C11×#41—81no—
150C2×Q8×C11—21no—
151C2×Q8×C11—21no—
152C2×Q8×C11—41no—
153C2×Q8×C11—41no—
154C2×Q8×C11—42no—
155C2×Q8×C11—81no—
156C2×Q8×C11C2×D411yescharacteristic
157C2×Q8×C11C2×D411yescharacteristic
158C2×D4×C11—21no—
159C2×D4×C11—21no—
160C2×D4×C11—21no—
161C2×D4×C11—21no—
162C2×D4×C11—21no—
163C2×D4×C11—21no—
164C2×D4×C11—41no—
165C2×D4×C11—41no—
166C2×D4×C11—41no—
167C2×D4×C11—41no—
168C2×D4×C11—42no—
169C2×D4×C11—42no—
170C2×D4×C11—81no—
171C2×D4×C11—81no—
172C2×D4×C11C2×D411yescharacteristic
173C2×D4×C11C2×D411yescharacteristic
174C22×C4×C11—21no—
175C22×C4×C11—21no—
176C22×C4×C11—41no—
177C22×C4×C11—41no—
178C11×SD16—22no—
179C11×SD16—42no—
180C11×SD16—42no—
181C11×SD16—42no—
182C11×SD16—42no—
183C11×SD16—42no—
184C11×SD16—81no—
185C11×SD16—82no—
186C11×SD16SD1614yescomplemented
187C11×D8—42no—
188C11×D8—42no—
189C11×D8—81no—
190C11×M16—42no—
191C2×C8×C11—21no—
192C2×C8×C11—21no—
193C2×C8×C11—21no—
194C2×C8×C11—21no—
195C2×C8×C11—21no—
196C2×C8×C11—42no—
197C2×C8×C11C2×D411yescharacteristic
198C2×C8×C11C2×D411yescharacteristic
199C2×C8×C11C2×D411yescharacteristic
200C2×C8×C11C2×D411yescharacteristic
201C11×C4⋊C4—21no—
202C11×C4⋊C4—21no—
203C11×C4⋊C4—21no—
204C11×C4⋊C4—21no—
205C11×C4⋊C4—21no—
206C11×C4⋊C4—21no—
207C11×C4⋊C4—41no—
208C11×C4⋊C4—41no—
209C11×C4⋊C4—41no—
210C11×C4⋊C4C2×D411yescharacteristic
211C11×C4⋊C4C2×D411yescharacteristic
212C11×C4⋊C4C2×D411yescharacteristic
213C11×C4⋊C4C2×D411yescharacteristic
214C11×C22⋊C4—21no—
215C11×C22⋊C4—21no—
216C11×C22⋊C4—41no—
217C11×C22⋊C4—41no—
218C11×C22⋊C4—41no—
219C42×C11—21no—
220C42×C11—21no—
221C42×C11—41no—
222C42×C11C2411yescharacteristic
223Q8×SD16C2×C1111yescharacteristic, complemented
224#3362C2×C1111yescharacteristic, complemented
225D4×SD16C2×C1111yescharacteristic, complemented
226#3274C2×C1111yescharacteristic
227#1715C2×C1111yescharacteristic, complemented
228#1691C2×C1111yescharacteristic, complemented
229#1677C2×C1111yescharacteristic, complemented
230#1668C2×C1111yescharacteristic, complemented
231#1666C2×C1111yescharacteristic, complemented
232#1642C2×C1111yescharacteristic, complemented
233#1629C2×C1111yescharacteristic, complemented
234#1627C2×C1111yescharacteristic, complemented
235#1623C2×C1111yescharacteristic, complemented
236#1583C2×C1111yescharacteristic, complemented
237SD16⋊C8C2×C1111yescharacteristic, complemented
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—41no—
241C23×C11—41no—
242C23×C11—82no—
243C23×C11—82no—
244C23×C11—161no—
245Q8×C11—21no—
246Q8×C11—21no—
247Q8×C11—41no—
248Q8×C11—41no—
249Q8×C11—82no—
250Q8×C11—81no—
251Q8×C11—161no—
252Q8×C11C2×SD1612yescomplemented
253Q8×C11AGL(1,ℤ/8)12yescomplemented
254D4×C11—21no—
255D4×C11—21no—
256D4×C11—21no—
257D4×C11—41no—
258D4×C11—41no—
259D4×C11—41no—
260D4×C11—41no—
261D4×C11—41no—
262D4×C11—41no—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11—82no—
266D4×C11—81no—
267D4×C11—81no—
268D4×C11—82no—
269D4×C11—82no—
270D4×C11—161no—
271D4×C11C2×SD1612yes—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—82no—
285C2×C4×C11—82no—
286C2×C4×C11C22×D411yescharacteristic
287C2×C4×C11C22×D411yescharacteristic
288C2×C4×C11H(5,𝔽2)11yescharacteristic
289C8×C11—21no—
290C8×C11—21no—
291C8×C11—21no—
292C8×C11—41no—
293C8×C11—41no—
294C8×C11—41no—
295C8×C11—41no—
296C8×C11—41no—
297C8×C11C2×SD1612yescomplemented
298C2×AGL(1,ℤ/8)—21no—
299C22×SD16—21no—
300Q82C22×C1111yescharacteristic, complemented
301#550C22×C1111yescharacteristic
302D4×Q8C22×C1111yescharacteristic
303D42C22×C1111yescharacteristic
304#498—21no—
305#498C22×C1111yescharacteristic, complemented
306#493C22×C1111yescharacteristic
307#492C22×C1111yescharacteristic
308#492C22×C1111yescharacteristic
309#486—21no—
310#486C22×C1111yescharacteristic, complemented
311#486C22×C1111yescharacteristic, complemented
312#476—21no—
313#476—21no—
314#476C22×C1111yescharacteristic
315#476C22×C1111yescharacteristic
316#475—21no—
317#475C22×C1111yescharacteristic, complemented
318#469—21no—
319#465—21no—
320#461C22×C1111yescharacteristic
321#460—21no—
322#460C22×C1111yescharacteristic
323#460C22×C1111yescharacteristic
324#460C22×C1111yescharacteristic, complemented
325#459C22×C1111yescharacteristic
326#450—21no—
327#449—21no—
328#448—21no—
329#447—21no—
330C8×Q8C22×C1111yescharacteristic, complemented
331C8×Q8C22×C1111yescharacteristic, complemented
332C4×SD16—21no—
333C4×SD16—21no—
334C4×SD16C22×C1111yescharacteristic
335C4×SD16C22×C1111yescharacteristic
336#436C22×C1111yescharacteristic
337C8×D4C22×C1111yescharacteristic
338#335C22×C1111yescharacteristic, complemented
339#334C22×C1111yescharacteristic, complemented
340#333C22×C1111yescharacteristic, complemented
341#332C22×C1111yescharacteristic, complemented
342#331C22×C1111yescharacteristic
343#331C22×C1111yescharacteristic, complemented
344Q8⋊C8C22×C1111yescharacteristic, complemented
345Q8⋊C8C22×C1111yescharacteristic, complemented
346D4⋊C8C22×C1111yescharacteristic
347D4⋊C8C22×C1111yescharacteristic
348#322C22×C1111yescharacteristic, complemented
349C22×C11—22no—
350C22×C11—41no—
351C22×C11—41no—
352C22×C11—41no—
353C22×C11—41no—
354C22×C11—41no—
355C22×C11—81no—
356C22×C11—81no—
357C22×C11—81no—
358C22×C11—81no—
359C22×C11—81no—
360C22×C11—81no—
361C22×C11—164no—
362C22×C11D4211yescharacteristic
363C4×C11—22no—
364C4×C11—22no—
365C4×C11—21no—
366C4×C11—41no—
367C4×C11—41no—
368C4×C11—41no—
369C4×C11—41no—
370C4×C11—81no—
371C4×C11—81no—
372C4×C11C22×SD1611yescharacteristic
373C4×C11C2×AGL(1,ℤ/8)11yescharacteristic
374C4×C11#57711yescharacteristic
375C4×C11#57711yescharacteristic
376C2×#41—21no—
377C22×Q8—21no—
378C22×D4—21no—
379C22×D4—21no—
380AGL(1,ℤ/8)—44no—
381C2×SD16—21no—
382C2×SD16—21no—
383C2×SD16—21no—
384C2×SD16—21no—
385C2×SD16—21no—
386C2×SD16—21no—
387C2×SD16—41no—
388C2×SD16—44no—
389C2×SD16D4×C1111yescharacteristic
390C2×SD16D4×C1111yescharacteristic
391C2×D8—21no—
392C2×D8—21no—
393C2×D8—21no—
394C2×M16—21no—
395C22×C8—21no—
396C4⋊Q8—21no—
397C4⋊Q8—21no—
398C4⋊Q8—21no—
399C4⋊Q8—41no—
400C4⋊Q8C23×C1111yescharacteristic
401C4⋊Q8C23×C1111yescharacteristic
402#127—21no—
403#127C23×C1111yescharacteristic
404#127C23×C1111yescharacteristic
405C22⋊Q8—21no—
406C22⋊Q8—41no—
407#121—21no—
408#121—21no—
409#121—21no—
410#121—41no—
411#120—41no—
412C4×Q8—21no—
413C4×Q8—21no—
414C4×Q8C23×C1111yescharacteristic
415C4×Q8C23×C1111yescharacteristic
416C4×D4—21no—
417C4×D4—21no—
418C4×D4C23×C1111yescharacteristic
419C4×D4C23×C1111yescharacteristic
420#106—21no—
421#106—21no—
422#106—21no—
423#106—21no—
424#106—21no—
425#106D4×C1111yescharacteristic
426#106D4×C1111yescharacteristic
427C4⋊C8—21no—
428C4⋊C8—21no—
429C4⋊C8C23×C1111yescharacteristic
430C4⋊C8C23×C1111yescharacteristic
431C4⋊C8C23×C1111yescharacteristic
432C4⋊C8C23×C1111yescharacteristic
433#103—21no—
434#103—21no—
435#103D4×C1111yescharacteristic
436#103D4×C1111yescharacteristic
437#102—21no—
438#102—21no—
439#102—21no—
440#102—21no—
441#102—21no—
442#102—21no—
443#102—21no—
444#102—21no—
445#102—41no—
446#102D4×C1111yescharacteristic
447#102D4×C1111yescharacteristic
448C22⋊C8—21no—
449C22⋊C8—21no—
450C4×C8—21no—
451C4×C8—21no—
452C4×C8C23×C1111yescharacteristic
453C4×C8C23×C1111yescharacteristic
454C4×C8C23×C1111yescharacteristic
455C2×C11—42no—
456C2×C11—81no—
457C2×C11—161no—
458C2×C11—161no—
459C2×C11#326511yescharacteristic
460C2×C11D4×SD1611yescharacteristic
461C2×C11#328811yescharacteristic
462C24—41no—
463#41—42no—
464#41—81no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—41no—
468C2×Q8—41no—
469C2×Q8—42no—
470C2×Q8—81no—
471C2×Q8C2×D4×C1111yescharacteristic
472C2×Q8C2×D4×C1111yescharacteristic
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—42no—
484C2×D4—42no—
485C2×D4—81no—
486C2×D4—81no—
487C2×D4C2×D4×C1111yescharacteristic
488C2×D4C2×D4×C1111yescharacteristic
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—41no—
492C22×C4—41no—
493SD16—22no—
494SD16—42no—
495SD16—42no—
496SD16—42no—
497SD16—42no—
498SD16—42no—
499SD16—81no—
500SD16—82no—
501SD16C11×SD1614yescomplemented
502D8—42no—
503D8—42no—
504D8—81no—
505M16—42no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—42no—
512C2×C8C2×D4×C1111yescharacteristic
513C2×C8C2×D4×C1111yescharacteristic
514C2×C8C2×D4×C1111yescharacteristic
515C2×C8C2×D4×C1111yescharacteristic
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—41no—
523C4⋊C4—41no—
524C4⋊C4—41no—
525C4⋊C4C2×D4×C1111yescharacteristic
526C4⋊C4C2×D4×C1111yescharacteristic
527C4⋊C4C2×D4×C1111yescharacteristic
528C4⋊C4C2×D4×C1111yescharacteristic
529C22⋊C4—21no—
530C22⋊C4—21no—
531C22⋊C4—41no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C42—21no—
535C42—21no—
536C42—41no—
537C42C24×C1111yescharacteristic
538C11#1980411yescharacteristic, direct product factor, Sylow
539C23—21no—
540C23—21no—
541C23—41no—
542C23—41no—
543C23—82no—
544C23—82no—
545C23—161no—
546Q8—21no—
547Q8—21no—
548Q8—41no—
549Q8—41no—
550Q8—82no—
551Q8—81no—
552Q8—161no—
553Q8C2×C11×SD1612yescomplemented
554Q8C11×AGL(1,ℤ/8)12yescomplemented
555D4—21no—
556D4—21no—
557D4—21no—
558D4—41no—
559D4—41no—
560D4—41no—
561D4—41no—
562D4—41no—
563D4—41no—
564D4—41no—
565D4—41no—
566D4—82no—
567D4—81no—
568D4—81no—
569D4—82no—
570D4—82no—
571D4—161no—
572D4C2×C11×SD1612yes—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—41no—
580C2×C4—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—82no—
586C2×C4—82no—
587C2×C4C22×D4×C1111yescharacteristic
588C2×C4C22×D4×C1111yescharacteristic
589C2×C4C11×H(5,𝔽2)11yescharacteristic
590C8—21no—
591C8—21no—
592C8—21no—
593C8—41no—
594C8—41no—
595C8—41no—
596C8—41no—
597C8—41no—
598C8C2×C11×SD1612yescomplemented
599C22—22no—
600C22—41no—
601C22—41no—
602C22—41no—
603C22—41no—
604C22—41no—
605C22—81no—
606C22—81no—
607C22—81no—
608C22—81no—
609C22—81no—
610C22—81no—
611C22—164no—
612C22D42×C1111yescharacteristic
613C4—22no—
614C4—22no—
615C4—21no—
616C4—41no—
617C4—41no—
618C4—41no—
619C4—41no—
620C4—81no—
621C4—81no—
622C4C22×C11×SD1611yescharacteristic
623C4C2×C11×AGL(1,ℤ/8)11yescharacteristic
624C4C11×#57711yescharacteristic
625C4C11×#57711yescharacteristic
626C2—42no—
627C2—81no—
628C2—161no—
629C2—161no—
630C2C11×#326511yescharacteristic
631C2D4×C11×SD1611yescharacteristic
632C2C11×#328811yescharacteristic
subgroupG/H
center, socleC22×C11D42
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3274C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
1. Q8×C11×SD16C2semidirect
2. C11×#3362C2semidirect
3. D4×C11×SD16C2semidirect
5. C11×#1715C2semidirect
6. C11×#1691C2semidirect
7. C11×#1677C2semidirect
8. C11×#1668C2semidirect
9. C11×#1666C2semidirect
10. C11×#1642C2semidirect
11. C11×#1629C2semidirect
12. C11×#1627C2semidirect
13. C11×#1623C2semidirect
14. C11×#1583C2semidirect
15. C11×SD16⋊C8C2semidirect
18. Q82×C11C22semidirect
23. C11×#498C22semidirect
28. C11×#486C22semidirect
29. C11×#486C22semidirect
35. C11×#475C22semidirect
42. C11×#460C22semidirect
48. C8×Q8×C11C22semidirect
49. C8×Q8×C11C22semidirect
56. C11×#335C22semidirect
57. C11×#334C22semidirect
58. C11×#333C22semidirect
59. C11×#332C22semidirect
61. C11×#331C22semidirect
62. C11×Q8⋊C8C22semidirect
63. C11×Q8⋊C8C22semidirect
66. C11×#322C22semidirect
146. #19804C11direct (N × H)
186. C11×SD16SD16semidirect
223. Q8×SD16C2×C11semidirect
224. #3362C2×C11semidirect
225. D4×SD16C2×C11semidirect
227. #1715C2×C11semidirect
228. #1691C2×C11semidirect
229. #1677C2×C11semidirect
230. #1668C2×C11semidirect
231. #1666C2×C11semidirect
232. #1642C2×C11semidirect
233. #1629C2×C11semidirect
234. #1627C2×C11semidirect
235. #1623C2×C11semidirect
236. #1583C2×C11semidirect
237. SD16⋊C8C2×C11semidirect
252. Q8×C11C2×SD16semidirect
253. Q8×C11AGL(1,ℤ/8)semidirect
297. C8×C11C2×SD16semidirect
300. Q82C22×C11semidirect
305. #498C22×C11semidirect
310. #486C22×C11semidirect
311. #486C22×C11semidirect
317. #475C22×C11semidirect
324. #460C22×C11semidirect
330. C8×Q8C22×C11semidirect
331. C8×Q8C22×C11semidirect
338. #335C22×C11semidirect
339. #334C22×C11semidirect
340. #333C22×C11semidirect
341. #332C22×C11semidirect
343. #331C22×C11semidirect
344. Q8⋊C8C22×C11semidirect
345. Q8⋊C8C22×C11semidirect
348. #322C22×C11semidirect
501. SD16C11×SD16semidirect
538. C11#19804direct (N × H)
553. Q8C2×C11×SD16semidirect
554. Q8C11×AGL(1,ℤ/8)semidirect
598. C8C2×C11×SD16semidirect

Maximal subgroups

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

subgroupindex
Q8×C11×SD162
C11×#33622
D4×C11×SD162
C11×#32742
C11×#17152
C11×#16912
C11×#16772
C11×#16682
C11×#16662
C11×#16422
C11×#16292
C11×#16272
C11×#16232
C11×#15832
C11×SD16⋊C82
#1980411