Finite Group Databasebeta

← C11×#61465 #14638658

Subgroups — C11×#61465 #14638658

Order 2816.

2156 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3483C211yesmaximal, characteristic, complemented
2D4×C11×#41C211yesmaximal, characteristic, complemented
3C11×#3391C211yesmaximal, characteristic, complemented
4Q8×C11×SD16C211yesmaximal, characteristic, complemented
5C11×#3362C211yesmaximal, characteristic, complemented
6C11×#3358C211yesmaximal, characteristic, complemented
7C11×#3354C213yesmaximal, complemented
8C11×#3332C213yesmaximal, complemented
9C11×#3325C213yesmaximal, complemented
10C11×#3274C213yesmaximal, complemented
11C11×#3184C213yesmaximal, complemented
12C11×#3115C213yesmaximal, complemented
13C11×#3109C213yesmaximal, complemented
14C11×#2971C211yesmaximal, characteristic, complemented
15C4×C11×AGL(1,ℤ/8)C213yesmaximal, complemented
16C22×C11×#41—21no—
17C2×C11×AGL(1,ℤ/8)C2213yes—
18Q82×C11C2211yescharacteristic, complemented
19C11×#555—23no—
20C11×#555C2213yescomplemented
21C11×#550—21no—
22C11×#550C2211yescharacteristic
23C11×#550C2213yescomplemented
24C11×#550C2211yescharacteristic, complemented
25D4×Q8×C11C2211yescharacteristic
26C11×#548—21no—
27C11×#547C2213yes—
28C11×#546—23no—
29D42×C11C2213yes—
30C11×#532—23no—
31C11×#532C2213yes—
32C11×#532C2213yescomplemented
33C11×#525—23no—
34C4×C11×#41—21no—
35C4×C11×#41C2211yescharacteristic
36C4×C11×#41C2213yescomplemented
37C2×C4×D4×C11C2213yes—
38C11×#498C2213yescomplemented
39C11×#493C2213yescomplemented
40C11×#486C2213yescomplemented
41C11×#486C2213yescomplemented
42C11×#482C2216yescomplemented
43C11×#481C2216yescomplemented
44C11×#476C2213yes—
45C11×#476C2213yescomplemented
46C11×#475C2213yescomplemented
47C11×#474C2213yescomplemented
48C11×#469C2216yescomplemented
49C11×#469C2216yescomplemented
50C11×#460C2213yescomplemented
51C11×#459C2213yes—
52C11×#459C2213yescomplemented
53C11×#459C2213yescomplemented
54C11×#449C2216yescomplemented
55C11×#447C2216yes—
56C8×Q8×C11C2211yescharacteristic, complemented
57C8×Q8×C11C2211yescharacteristic, complemented
58C11×#442C2213yes—
59C11×#442C2213yescomplemented
60C11×#442C2216yescomplemented
61C11×#440C2211yescharacteristic
62C11×#440C2213yescomplemented
63C4×C11×SD16C2213yes—
64C4×C11×SD16C2213yescomplemented
65C4×C11×D8C2213yes—
66C4×C11×D8C2213yescomplemented
67C11×#436C2213yescomplemented
68C11×#436C2213yescomplemented
69C11×#432C2213yescomplemented
70C11×#428C2213yescomplemented
71C11×#418C2213yes—
72C11×#417C2213yescomplemented
73C4×C11×M16C2213yescomplemented
74C2×C11×#41—21no—
75C2×C11×#41—21no—
76C2×C11×#41—23no—
77C2×C11×#41—23no—
78C2×C11×#41—23no—
79C2×C11×#41—48no—
80C2×C11×#41D411yescharacteristic
81C2×C11×#41C2313yes—
82C22×Q8×C11—21no—
83C22×D4×C11—23no—
84C22×D4×C11C2313yes—
85C23×C4×C11—23no—
86C11×AGL(1,ℤ/8)—212no—
87C2×C11×SD16C2313yes—
88C2×C11×SD16C2311yescharacteristic
89C2×C11×D8C2313yes—
90C2×C11×D8C2313yes—
91C2×C11×D8C2316yes—
92C2×C11×M16C2313yes—
93C2×C11×M16C2313yes—
94C11×C4⋊Q8—23no—
95C11×C4⋊Q8C2313yes—
96C11×C4⋊Q8C2313yes—
97C11×#127—23no—
98C11×#127C2313yes—
99C11×#127C2313yes—
100C11×#124—26no—
101C11×#124—23no—
102C11×#124—23no—
103C11×#123—26no—
104C11×C22⋊Q8—23no—
105C11×C22⋊Q8—23no—
106C11×#121—23no—
107C11×#121—23no—
108C11×#121—23no—
109C11×#121—23no—
110C11×#121—23no—
111C11×#121—23no—
112C11×#121—26no—
113C11×#121C2316yes—
114C11×#121C2316yes—
115C11×#120—26no—
116C4×Q8×C11—21no—
117C4×Q8×C11D411yescharacteristic
118C4×Q8×C11C2311yescharacteristic
119C4×Q8×C11C2313yes—
120C4×Q8×C11C2311yescharacteristic
121C4×D4×C11—23no—
122C4×D4×C11—23no—
123C4×D4×C11—23no—
124C4×D4×C11—23no—
125C4×D4×C11—23no—
126C4×D4×C11—23no—
127C4×D4×C11—23no—
128C4×D4×C11D413yes—
129C4×D4×C11C2311yescharacteristic
130C4×D4×C11C2313yes—
131C4×D4×C11C2313yes—
132C4×D4×C11C2313yes—
133C4×D4×C11C2313yes—
134C4×D4×C11C2313yes—
135C4×D4×C11C2313yes—
136C11×#117—23no—
137C11×#117—23no—
138C11×#117D413yes—
139C11×#117C2313yes—
140C2×C11×C4⋊C4C2313yes—
141C2×C11×C22⋊C4—23no—
142C2×C42×C11—23no—
143C2×C42×C11C2313yes—
144C11×#107C2311yescharacteristic
145C11×#107C2313yes—
146C11×#106C2313yes—
147C11×#106C2316yes—
148C11×#106C2313yes—
149C11×C4⋊C8C2313yes—
150C11×C4⋊C8C2313yes—
151C11×#103C2311yescharacteristic
152C11×#103C2313yes—
153C11×#102C2313yes—
154C11×#102C2313yes—
155C11×#102C2311yescharacteristic
156C11×#102C2313yes—
157C11×#102C2313yes—
158C11×#102C2313yes—
159C11×#102C2316yes—
160C11×#102C2316yes—
161C11×C22⋊C8C2316yes—
162C11×#97C2311yescharacteristic
163C11×#97C2313yes—
164C4×C8×C11C2313yes—
165C4×C8×C11C2313yes—
166#61465C1111yesmaximal, characteristic, direct product factor, Sylow
167C24×C11—23no—
168C11×#41—24no—
169C11×#41—26no—
170C11×#41—43no—
171C11×#41—412no—
172C11×#41—412no—
173C11×#41—44no—
174C11×#41—44no—
175C11×#41—86no—
176C2×Q8×C11—23no—
177C2×Q8×C11—23no—
178C2×Q8×C11—44no—
179C2×Q8×C11C2×D411yescharacteristic
180C2×Q8×C11C2411yescharacteristic
181C2×D4×C11—26no—
182C2×D4×C11—23no—
183C2×D4×C11—26no—
184C2×D4×C11—26no—
185C2×D4×C11—23no—
186C2×D4×C11—23no—
187C2×D4×C11—23no—
188C2×D4×C11—23no—
189C2×D4×C11—23no—
190C2×D4×C11—43no—
191C2×D4×C11—412no—
192C2×D4×C11C2×D413yes—
193C2×D4×C11C2413yes—
194C2×D4×C11C2413yes—
195C2×D4×C11C2411yescharacteristic
196C22×C4×C11—23no—
197C22×C4×C11—23no—
198C22×C4×C11—23no—
199C22×C4×C11—23no—
200C22×C4×C11—21no—
201C22×C4×C11—23no—
202C22×C4×C11—23no—
203C22×C4×C11—23no—
204C22×C4×C11—412no—
205C22×C4×C11C2×D413yes—
206C22×C4×C11C2×D413yes—
207C22×C4×C11C2413yes—
208C11×SD16—26no—
209C11×SD16#4114yescomplemented
210C11×D8—26no—
211C11×D8—26no—
212C11×D8—46no—
213C11×M16—26no—
214C11×M16—43no—
215C2×C8×C11C2411yescharacteristic
216C2×C8×C11C2413yes—
217C2×C8×C11C2413yes—
218C2×C8×C11C2411yescharacteristic
219C11×C4⋊C4—23no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—23no—
222C11×C4⋊C4—23no—
223C11×C4⋊C4—23no—
224C11×C4⋊C4C2×D413yes—
225C11×C4⋊C4C2×D413yes—
226C11×C4⋊C4C2413yes—
227C11×C4⋊C4C2411yescharacteristic
228C11×C4⋊C4C2411yescharacteristic
229C11×C4⋊C4C2413yes—
230C11×C22⋊C4—23no—
231C11×C22⋊C4—21no—
232C11×C22⋊C4—23no—
233C11×C22⋊C4—23no—
234C11×C22⋊C4—23no—
235C11×C22⋊C4—26no—
236C11×C22⋊C4—23no—
237C11×C22⋊C4—23no—
238C11×C22⋊C4—26no—
239C11×C22⋊C4C2×D416yes—
240C42×C11—21no—
241C42×C11—23no—
242C42×C11—23no—
243C42×C11C2×D413yes—
244C42×C11C2×D413yes—
245C42×C11C2413yes—
246C42×C11C2411yescharacteristic
247#3483C2×C1111yescharacteristic, complemented
248D4×#41C2×C1111yescharacteristic, complemented
249#3391C2×C1111yescharacteristic, complemented
250Q8×SD16C2×C1111yescharacteristic, complemented
251#3362C2×C1111yescharacteristic, complemented
252#3358C2×C1111yescharacteristic, complemented
253#3354C2×C1113yescomplemented
254#3332C2×C1113yescomplemented
255#3325C2×C1113yescomplemented
256#3274C2×C1113yescomplemented
257#3184C2×C1113yescomplemented
258#3115C2×C1113yescomplemented
259#3109C2×C1113yescomplemented
260#2971C2×C1111yescharacteristic, complemented
261C4×AGL(1,ℤ/8)C2×C1113yescomplemented
262C23×C11—21no—
263C23×C11—23no—
264C23×C11—23no—
265C23×C11—46no—
266C23×C11—46no—
267C23×C11—83no—
268C23×C11C22×D413yes—
269Q8×C11—21no—
270Q8×C11—46no—
271Q8×C11—83no—
272Q8×C11AGL(1,ℤ/8)14yescomplemented
273Q8×C11C2×#4112yescomplemented
274D4×C11—26no—
275D4×C11—23no—
276D4×C11—23no—
277D4×C11—21no—
278D4×C11—23no—
279D4×C11—23no—
280D4×C11—46no—
281D4×C11—46no—
282D4×C11—412no—
283D4×C11—46no—
284D4×C11—46no—
285D4×C11—83no—
286D4×C11—83no—
287D4×C11—86no—
288D4×C11C2×#4112yes—
289C2×C4×C11—21no—
290C2×C4×C11—26no—
291C2×C4×C11—23no—
292C2×C4×C11—23no—
293C2×C4×C11—21no—
294C2×C4×C11—23no—
295C2×C4×C11—21no—
296C2×C4×C11—23no—
297C2×C4×C11—43no—
298C2×C4×C11—46no—
299C2×C4×C11—42no—
300C2×C4×C11—46no—
301C2×C4×C11—46no—
302C2×C4×C11—46no—
303C2×C4×C11—46no—
304C2×C4×C11—46no—
305C2×C4×C11—46no—
306C2×C4×C11C22×D411yescharacteristic
307C2×C4×C11C22×D413yes—
308C2×C4×C11C22×D411yescharacteristic
309C2×C4×C11C22×D413yes—
310C2×C4×C11C22×D413yes—
311C2×C4×C11C2511yescharacteristic
312C8×C11—23no—
313C8×C11—21no—
314C8×C11—23no—
315C8×C11C2×#4112yescomplemented
316C22×#41—21no—
317C2×AGL(1,ℤ/8)C22×C1113yes—
318Q82C22×C1111yescharacteristic, complemented
319#555—23no—
320#555C22×C1113yescomplemented
321#550—21no—
322#550C22×C1111yescharacteristic
323#550C22×C1113yescomplemented
324#550C22×C1111yescharacteristic, complemented
325D4×Q8C22×C1111yescharacteristic
326#548—21no—
327#547C22×C1113yes—
328#546—23no—
329D42C22×C1113yes—
330#532—23no—
331#532C22×C1113yes—
332#532C22×C1113yescomplemented
333#525—23no—
334C4×#41—21no—
335C4×#41C22×C1111yescharacteristic
336C4×#41C22×C1113yescomplemented
337C2×C4×D4C22×C1113yes—
338#498C22×C1113yescomplemented
339#493C22×C1113yescomplemented
340#486C22×C1113yescomplemented
341#486C22×C1113yescomplemented
342#482C22×C1116yescomplemented
343#481C22×C1116yescomplemented
344#476C22×C1113yes—
345#476C22×C1113yescomplemented
346#475C22×C1113yescomplemented
347#474C22×C1113yescomplemented
348#469C22×C1116yescomplemented
349#469C22×C1116yescomplemented
350#460C22×C1113yescomplemented
351#459C22×C1113yes—
352#459C22×C1113yescomplemented
353#459C22×C1113yescomplemented
354#449C22×C1116yescomplemented
355#447C22×C1116yes—
356C8×Q8C22×C1111yescharacteristic, complemented
357C8×Q8C22×C1111yescharacteristic, complemented
358#442C22×C1113yes—
359#442C22×C1116yescomplemented
360#442C22×C1113yescomplemented
361#440C22×C1111yescharacteristic
362#440C22×C1113yescomplemented
363C4×SD16C22×C1113yes—
364C4×SD16C22×C1113yescomplemented
365C4×D8C22×C1113yes—
366C4×D8C22×C1113yescomplemented
367#436C22×C1113yescomplemented
368#436C22×C1113yescomplemented
369#432C22×C1113yescomplemented
370#428C22×C1113yescomplemented
371#418C22×C1113yes—
372#417C22×C1113yescomplemented
373C4×M16C22×C1113yescomplemented
374C22×C11—23no—
375C22×C11—23no—
376C22×C11—22no—
377C22×C11—23no—
378C22×C11—41no—
379C22×C11—41no—
380C22×C11—43no—
381C22×C11—43no—
382C22×C11—43no—
383C22×C11—43no—
384C22×C11—43no—
385C22×C11—43no—
386C22×C11—812no—
387C22×C11C23×D411yescharacteristic
388C4×C11—21no—
389C4×C11—23no—
390C4×C11—23no—
391C4×C11—22no—
392C4×C11—21no—
393C4×C11—43no—
394C4×C11—41no—
395C4×C11—41no—
396C4×C11—43no—
397C4×C11C2×AGL(1,ℤ/8)16yes—
398C4×C11C22×#4111yescharacteristic
399C4×C11#58511yescharacteristic
400C2×#41—21no—
401C2×#41—21no—
402C2×#41—23no—
403C2×#41—23no—
404C2×#41—23no—
405C2×#41—48no—
406C2×#41D4×C1111yescharacteristic
407C2×#41C23×C1113yes—
408C22×Q8—21no—
409C22×D4—23no—
410C22×D4C23×C1113yes—
411C23×C4—23no—
412AGL(1,ℤ/8)—212no—
413C2×SD16C23×C1113yes—
414C2×SD16C23×C1111yescharacteristic
415C2×D8C23×C1113yes—
416C2×D8C23×C1113yes—
417C2×D8C23×C1116yes—
418C2×M16C23×C1113yes—
419C2×M16C23×C1113yes—
420C4⋊Q8—23no—
421C4⋊Q8C23×C1113yes—
422C4⋊Q8C23×C1113yes—
423#127—23no—
424#127C23×C1113yes—
425#127C23×C1113yes—
426#124—26no—
427#124—23no—
428#124—23no—
429#123—26no—
430C22⋊Q8—23no—
431C22⋊Q8—23no—
432#121—23no—
433#121—23no—
434#121—23no—
435#121—23no—
436#121—23no—
437#121—23no—
438#121—26no—
439#121C23×C1116yes—
440#121C23×C1116yes—
441#120—26no—
442C4×Q8—21no—
443C4×Q8D4×C1111yescharacteristic
444C4×Q8C23×C1111yescharacteristic
445C4×Q8C23×C1113yes—
446C4×Q8C23×C1111yescharacteristic
447C4×D4—23no—
448C4×D4—23no—
449C4×D4—23no—
450C4×D4—23no—
451C4×D4—23no—
452C4×D4—23no—
453C4×D4—23no—
454C4×D4D4×C1113yes—
455C4×D4C23×C1111yescharacteristic
456C4×D4C23×C1113yes—
457C4×D4C23×C1113yes—
458C4×D4C23×C1113yes—
459C4×D4C23×C1113yes—
460C4×D4C23×C1113yes—
461C4×D4C23×C1113yes—
462#117—23no—
463#117—23no—
464#117D4×C1113yes—
465#117C23×C1113yes—
466C2×C4⋊C4C23×C1113yes—
467C2×C22⋊C4—23no—
468C2×C42—23no—
469C2×C42C23×C1113yes—
470#107C23×C1111yescharacteristic
471#107C23×C1113yes—
472#106C23×C1113yes—
473#106C23×C1113yes—
474#106C23×C1116yes—
475C4⋊C8C23×C1113yes—
476C4⋊C8C23×C1113yes—
477#103C23×C1111yescharacteristic
478#103C23×C1113yes—
479#102C23×C1113yes—
480#102C23×C1113yes—
481#102C23×C1111yescharacteristic
482#102C23×C1113yes—
483#102C23×C1113yes—
484#102C23×C1113yes—
485#102C23×C1116yes—
486#102C23×C1116yes—
487C22⋊C8C23×C1116yes—
488#97C23×C1111yescharacteristic
489#97C23×C1113yes—
490C4×C8C23×C1113yes—
491C4×C8C23×C1113yes—
492C2×C11—43no—
493C2×C11—42no—
494C2×C11—83no—
495C2×C11—83no—
496C2×C11D4×#4111yescharacteristic
497C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
498C2×C11#358511yescharacteristic
499C24—23no—
500#41—24no—
501#41—26no—
502#41—43no—
503#41—412no—
504#41—412no—
505#41—44no—
506#41—44no—
507#41—86no—
508C2×Q8—23no—
509C2×Q8—23no—
510C2×Q8—44no—
511C2×Q8C2×D4×C1111yescharacteristic
512C2×Q8C24×C1111yescharacteristic
513C2×D4—26no—
514C2×D4—23no—
515C2×D4—26no—
516C2×D4—26no—
517C2×D4—23no—
518C2×D4—23no—
519C2×D4—23no—
520C2×D4—23no—
521C2×D4—23no—
522C2×D4—43no—
523C2×D4—412no—
524C2×D4C2×D4×C1113yes—
525C2×D4C24×C1113yes—
526C2×D4C24×C1113yes—
527C2×D4C24×C1111yescharacteristic
528C22×C4—23no—
529C22×C4—23no—
530C22×C4—23no—
531C22×C4—23no—
532C22×C4—21no—
533C22×C4—23no—
534C22×C4—23no—
535C22×C4—23no—
536C22×C4—412no—
537C22×C4C2×D4×C1113yes—
538C22×C4C2×D4×C1113yes—
539C22×C4C24×C1113yes—
540SD16—26no—
541SD16C11×#4114yescomplemented
542D8—26no—
543D8—26no—
544D8—46no—
545M16—26no—
546M16—43no—
547C2×C8C24×C1111yescharacteristic
548C2×C8C24×C1113yes—
549C2×C8C24×C1113yes—
550C2×C8C24×C1111yescharacteristic
551C4⋊C4—23no—
552C4⋊C4—21no—
553C4⋊C4—23no—
554C4⋊C4—23no—
555C4⋊C4—23no—
556C4⋊C4C2×D4×C1113yes—
557C4⋊C4C2×D4×C1113yes—
558C4⋊C4C24×C1113yes—
559C4⋊C4C24×C1111yescharacteristic
560C4⋊C4C24×C1111yescharacteristic
561C4⋊C4C24×C1113yes—
562C22⋊C4—23no—
563C22⋊C4—21no—
564C22⋊C4—23no—
565C22⋊C4—23no—
566C22⋊C4—23no—
567C22⋊C4—26no—
568C22⋊C4—23no—
569C22⋊C4—23no—
570C22⋊C4—26no—
571C22⋊C4C2×D4×C1116yes—
572C42—21no—
573C42—23no—
574C42—23no—
575C42C2×D4×C1113yes—
576C42C2×D4×C1113yes—
577C42C24×C1113yes—
578C42C24×C1111yescharacteristic
579C11#6146511yescharacteristic, direct product factor, Sylow
580C23—21no—
581C23—23no—
582C23—23no—
583C23—46no—
584C23—46no—
585C23—83no—
586C23C22×D4×C1113yes—
587Q8—21no—
588Q8—46no—
589Q8—83no—
590Q8C11×AGL(1,ℤ/8)14yescomplemented
591Q8C2×C11×#4112yescomplemented
592D4—26no—
593D4—23no—
594D4—23no—
595D4—21no—
596D4—23no—
597D4—23no—
598D4—46no—
599D4—46no—
600D4—412no—
601D4—46no—
602D4—46no—
603D4—83no—
604D4—83no—
605D4—86no—
606D4C2×C11×#4112yes—
607C2×C4—21no—
608C2×C4—26no—
609C2×C4—23no—
610C2×C4—23no—
611C2×C4—21no—
612C2×C4—23no—
613C2×C4—21no—
614C2×C4—23no—
615C2×C4—43no—
616C2×C4—46no—
617C2×C4—42no—
618C2×C4—46no—
619C2×C4—46no—
620C2×C4—46no—
621C2×C4—46no—
622C2×C4—46no—
623C2×C4—46no—
624C2×C4C22×D4×C1111yescharacteristic
625C2×C4C22×D4×C1113yes—
626C2×C4C22×D4×C1111yescharacteristic
627C2×C4C22×D4×C1113yes—
628C2×C4C22×D4×C1113yes—
629C2×C4C25×C1111yescharacteristic
630C8—23no—
631C8—21no—
632C8—23no—
633C8C2×C11×#4112yescomplemented
634C22—23no—
635C22—22no—
636C22—23no—
637C22—23no—
638C22—41no—
639C22—41no—
640C22—43no—
641C22—43no—
642C22—43no—
643C22—43no—
644C22—43no—
645C22—43no—
646C22—812no—
647C22C23×D4×C1111yescharacteristic
648C4—23no—
649C4—22no—
650C4—21no—
651C4—21no—
652C4—23no—
653C4—41no—
654C4—43no—
655C4—41no—
656C4—43no—
657C4C2×C11×AGL(1,ℤ/8)16yes—
658C4C22×C11×#4111yescharacteristic
659C4C11×#58511yescharacteristic
660C2—43no—
661C2—42no—
662C2—83no—
663C2—83no—
664C2D4×C11×#4111yescharacteristic
665C2C22×C11×AGL(1,ℤ/8)11yescharacteristic
666C2C11×#358511yescharacteristic
subgroupG/H
center, socleC22×C11C23×D4
commutator, Frattini, cosocleC2×C4C25×C11
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C11 ◁ C4×C11×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C11×#3483C2semidirect
2. D4×C11×#41C2semidirect
3. C11×#3391C2semidirect
4. Q8×C11×SD16C2semidirect
5. C11×#3362C2semidirect
6. C11×#3358C2semidirect
7. C11×#3354C2semidirect
8. C11×#3332C2semidirect
9. C11×#3325C2semidirect
10. C11×#3274C2semidirect
11. C11×#3184C2semidirect
12. C11×#3115C2semidirect
13. C11×#3109C2semidirect
14. C11×#2971C2semidirect
15. C4×C11×AGL(1,ℤ/8)C2semidirect
18. Q82×C11C22semidirect
20. C11×#555C22semidirect
23. C11×#550C22semidirect
24. C11×#550C22semidirect
32. C11×#532C22semidirect
36. C4×C11×#41C22semidirect
38. C11×#498C22semidirect
39. C11×#493C22semidirect
40. C11×#486C22semidirect
41. C11×#486C22semidirect
42. C11×#482C22semidirect
43. C11×#481C22semidirect
45. C11×#476C22semidirect
46. C11×#475C22semidirect
47. C11×#474C22semidirect
48. C11×#469C22semidirect
49. C11×#469C22semidirect
50. C11×#460C22semidirect
52. C11×#459C22semidirect
53. C11×#459C22semidirect
54. C11×#449C22semidirect
56. C8×Q8×C11C22semidirect
57. C8×Q8×C11C22semidirect
59. C11×#442C22semidirect
60. C11×#442C22semidirect
62. C11×#440C22semidirect
64. C4×C11×SD16C22semidirect
66. C4×C11×D8C22semidirect
67. C11×#436C22semidirect
68. C11×#436C22semidirect
69. C11×#432C22semidirect
70. C11×#428C22semidirect
72. C11×#417C22semidirect
73. C4×C11×M16C22semidirect
166. #61465C11direct (N × H)
209. C11×SD16#41semidirect
247. #3483C2×C11semidirect
248. D4×#41C2×C11semidirect
249. #3391C2×C11semidirect
250. Q8×SD16C2×C11semidirect
251. #3362C2×C11semidirect
252. #3358C2×C11semidirect
253. #3354C2×C11semidirect
254. #3332C2×C11semidirect
255. #3325C2×C11semidirect
256. #3274C2×C11semidirect
257. #3184C2×C11semidirect
258. #3115C2×C11semidirect
259. #3109C2×C11semidirect
260. #2971C2×C11semidirect
261. C4×AGL(1,ℤ/8)C2×C11semidirect
272. Q8×C11AGL(1,ℤ/8)semidirect
273. Q8×C11C2×#41semidirect
315. C8×C11C2×#41semidirect
318. Q82C22×C11semidirect
320. #555C22×C11semidirect
323. #550C22×C11semidirect
324. #550C22×C11semidirect
332. #532C22×C11semidirect
336. C4×#41C22×C11semidirect
338. #498C22×C11semidirect
339. #493C22×C11semidirect
340. #486C22×C11semidirect
341. #486C22×C11semidirect
342. #482C22×C11semidirect
343. #481C22×C11semidirect
345. #476C22×C11semidirect
346. #475C22×C11semidirect
347. #474C22×C11semidirect
348. #469C22×C11semidirect
349. #469C22×C11semidirect
350. #460C22×C11semidirect
352. #459C22×C11semidirect
353. #459C22×C11semidirect
354. #449C22×C11semidirect
356. C8×Q8C22×C11semidirect
357. C8×Q8C22×C11semidirect
359. #442C22×C11semidirect
360. #442C22×C11semidirect
362. #440C22×C11semidirect
364. C4×SD16C22×C11semidirect
366. C4×D8C22×C11semidirect
367. #436C22×C11semidirect
368. #436C22×C11semidirect
369. #432C22×C11semidirect
370. #428C22×C11semidirect
372. #417C22×C11semidirect
373. C4×M16C22×C11semidirect
541. SD16C11×#41semidirect
579. C11#61465direct (N × H)
590. Q8C11×AGL(1,ℤ/8)semidirect
591. Q8C2×C11×#41semidirect
633. C8C2×C11×#41semidirect

Maximal subgroups

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

subgroupindex
C11×#34832
D4×C11×#412
C11×#33912
Q8×C11×SD162
C11×#33622
C11×#33582
C11×#33542
C11×#33322
C11×#33252
C11×#32742
C11×#31842
C11×#31152
C11×#31092
C11×#29712
C4×C11×AGL(1,ℤ/8)2
#6146511