Finite Group Databasebeta

← C11×#62003 #14639196

Subgroups — C11×#62003 #14639196

Order 2816.

2126 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3517C211yesmaximal, characteristic, complemented
2D4×C11×#41C211yesmaximal, characteristic, complemented
3C11×#3392C211yesmaximal, characteristic, complemented
4C11×#3391C211yesmaximal, characteristic, complemented
5C11×#3359C211yesmaximal, characteristic, complemented
6C11×#3358C211yesmaximal, characteristic, complemented
7C11×#3332C213yesmaximal, complemented
8C11×#3330C213yesmaximal, complemented
9C11×#3274C213yesmaximal, complemented
10C11×#3272C213yesmaximal, complemented
11C11×#3251C213yesmaximal, complemented
12C11×#3207C213yesmaximal, complemented
13C11×#3105C213yesmaximal, complemented
14C11×#3036C213yesmaximal, complemented
15C11×#2991C211yesmaximal, characteristic, complemented
16C22×C11×#41—21no—
17C2×C11×AGL(1,ℤ/8)C2216yes—
18C11×#557C2211yescharacteristic, complemented
19C11×#553—23no—
20C11×#550—21no—
21C11×#550C2211yescharacteristic
22C11×#550C2213yescomplemented
23C11×#550C2211yescharacteristic, complemented
24D4×Q8×C11C2211yescharacteristic
25C11×#548—21no—
26C11×#547C2213yes—
27C11×#547C2213yescomplemented
28C11×#546—23no—
29D42×C11C2213yes—
30C11×#540—23no—
31C11×#532C2213yes—
32C11×#532C2213yescomplemented
33C11×#529C2213yescomplemented
34C11×#525—23no—
35C11×#520—21no—
36C4×C11×#41C2211yescharacteristic
37C2×C4×D4×C11C2213yes—
38C11×#493C2213yescomplemented
39C11×#492C2213yescomplemented
40C11×#487C2213yescomplemented
41C11×#486C2213yescomplemented
42C11×#484C2213yescomplemented
43C11×#481C2213yescomplemented
44C11×#478C2211yescharacteristic
45C11×#478C2213yescomplemented
46C11×#475C2213yescomplemented
47C11×#474C2213yescomplemented
48C11×#469C2216yescomplemented
49C11×#468C2216yescomplemented
50C11×#463C2213yes—
51C11×#463C2213yescomplemented
52C11×#463C2216yescomplemented
53C11×#461C2213yes—
54C11×#461C2213yescomplemented
55C11×#460C2213yescomplemented
56C11×#459C2213yes—
57C11×#459C2213yescomplemented
58C11×#459C2213yescomplemented
59C11×#450C2213yes—
60C11×#449C2216yescomplemented
61C11×#449C2216yescomplemented
62C11×#447C2213yes—
63C8×Q8×C11C2211yescharacteristic, complemented
64C8×Q8×C11C2211yescharacteristic, complemented
65C4×C11×SD16C2213yes—
66C4×C11×SD16C2213yescomplemented
67C4×C11×D8C2213yes—
68C4×C11×D8C2213yescomplemented
69C11×#436C2213yescomplemented
70C11×#436C2213yescomplemented
71C11×#431C2213yescomplemented
72C11×#423C2213yescomplemented
73C11×#417C2216yescomplemented
74C2×C11×#41—21no—
75C2×C11×#41—21no—
76C2×C11×#41—23no—
77C2×C11×#41—23no—
78C2×C11×#41—48no—
79C2×C11×#41D411yescharacteristic
80C2×C11×#41C2316yes—
81C22×Q8×C11—21no—
82C22×D4×C11—23no—
83C22×D4×C11C2313yes—
84C23×C4×C11—23no—
85C11×AGL(1,ℤ/8)—412no—
86C2×C11×SD16C2313yes—
87C2×C11×SD16C2313yes—
88C2×C11×SD16C2316yes—
89C2×C11×D8C2313yes—
90C2×C11×D8C2313yes—
91C2×C11×D8C2316yes—
92C2×C11×M16C2316yes—
93C11×C4⋊Q8C2313yes—
94C11×C4⋊Q8C2313yes—
95C11×#127—23no—
96C11×#127C2313yes—
97C11×#127C2313yes—
98C11×#126—23no—
99C11×#125—23no—
100C11×#125C2311yescharacteristic
101C11×#124—23no—
102C11×#124C2313yes—
103C11×#123—23no—
104C11×#123—26no—
105C11×#123—26no—
106C11×C22⋊Q8—23no—
107C11×C22⋊Q8—23no—
108C11×C22⋊Q8C2313yes—
109C11×#121—23no—
110C11×#121—23no—
111C11×#121—23no—
112C11×#121—23no—
113C11×#121—23no—
114C11×#121—23no—
115C11×#121—23no—
116C11×#121—26no—
117C11×#121C2313yes—
118C11×#121C2316yes—
119C11×#120—26no—
120C4×Q8×C11—21no—
121C4×Q8×C11D411yescharacteristic
122C4×Q8×C11C2313yes—
123C4×Q8×C11C2311yescharacteristic
124C4×D4×C11—23no—
125C4×D4×C11—23no—
126C4×D4×C11—23no—
127C4×D4×C11—23no—
128C4×D4×C11—23no—
129C4×D4×C11—23no—
130C4×D4×C11—23no—
131C4×D4×C11D413yes—
132C4×D4×C11C2311yescharacteristic
133C4×D4×C11C2313yes—
134C4×D4×C11C2313yes—
135C4×D4×C11C2313yes—
136C4×D4×C11C2313yes—
137C4×D4×C11C2313yes—
138C11×#117—23no—
139C11×#117D413yes—
140C2×C11×C4⋊C4—23no—
141C2×C11×C4⋊C4C2313yes—
142C2×C11×C22⋊C4—23no—
143C2×C42×C11C2313yes—
144C11×#107C2313yes—
145C11×#107C2311yescharacteristic
146C11×#106C2313yes—
147C11×#106C2311yescharacteristic
148C11×C4⋊C8C2313yes—
149C11×C4⋊C8C2313yes—
150C11×C4⋊C8C2313yes—
151C11×C4⋊C8C2311yescharacteristic
152C11×#103C2313yes—
153C11×#103C2316yes—
154C11×#103C2313yes—
155C11×#102C2313yes—
156C11×#102C2316yes—
157C11×#102C2311yescharacteristic
158C11×#102C2313yes—
159C11×#102C2313yes—
160C11×#102C2311yescharacteristic
161C11×#102C2313yes—
162C11×C22⋊C8C2313yes—
163C11×C22⋊C8C2313yes—
164C4×C8×C11C2313yes—
165C4×C8×C11C2313yes—
166#62003C1111yesmaximal, characteristic, direct product factor, Sylow
167C24×C11—23no—
168C11×#41—24no—
169C11×#41—412no—
170C11×#41—46no—
171C11×#41—46no—
172C11×#41—412no—
173C11×#41—44no—
174C11×#41—44no—
175C2×Q8×C11—23no—
176C2×Q8×C11—44no—
177C2×Q8×C11C2×D411yescharacteristic
178C2×Q8×C11C2413yes—
179C2×D4×C11—26no—
180C2×D4×C11—26no—
181C2×D4×C11—23no—
182C2×D4×C11—26no—
183C2×D4×C11—23no—
184C2×D4×C11—23no—
185C2×D4×C11—23no—
186C2×D4×C11—23no—
187C2×D4×C11—23no—
188C2×D4×C11—43no—
189C2×D4×C11—412no—
190C2×D4×C11C2×D413yes—
191C2×D4×C11C2413yes—
192C2×D4×C11C2413yes—
193C2×D4×C11C2411yescharacteristic
194C22×C4×C11—23no—
195C22×C4×C11—23no—
196C22×C4×C11—21no—
197C22×C4×C11—23no—
198C22×C4×C11—23no—
199C22×C4×C11—23no—
200C22×C4×C11—26no—
201C22×C4×C11—412no—
202C22×C4×C11C2×D413yes—
203C22×C4×C11C2×D413yes—
204C22×C4×C11C2413yes—
205C11×SD16—26no—
206C11×SD16—43no—
207C11×SD16—46no—
208C11×D8—26no—
209C11×D8—43no—
210C11×D8—46no—
211C11×M16—46no—
212C2×C8×C11C2411yescharacteristic
213C2×C8×C11C2411yescharacteristic
214C2×C8×C11C2413yes—
215C2×C8×C11C2413yes—
216C11×C4⋊C4—23no—
217C11×C4⋊C4—23no—
218C11×C4⋊C4—23no—
219C11×C4⋊C4—21no—
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⋊C4C2411yescharacteristic
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—23no—
236C11×C22⋊C4—23no—
237C11×C22⋊C4—23no—
238C11×C22⋊C4—26no—
239C11×C22⋊C4—23no—
240C11×C22⋊C4C2×D416yes—
241C42×C11—23no—
242C42×C11C2×D413yes—
243C42×C11C2×D413yes—
244C42×C11C2413yes—
245C42×C11C2411yescharacteristic
246#3517C2×C1111yescharacteristic, complemented
247D4×#41C2×C1111yescharacteristic, complemented
248#3392C2×C1111yescharacteristic, complemented
249#3391C2×C1111yescharacteristic, complemented
250#3359C2×C1111yescharacteristic, complemented
251#3358C2×C1111yescharacteristic, complemented
252#3332C2×C1113yescomplemented
253#3330C2×C1113yescomplemented
254#3274C2×C1113yescomplemented
255#3272C2×C1113yescomplemented
256#3251C2×C1113yescomplemented
257#3207C2×C1113yescomplemented
258#3105C2×C1113yescomplemented
259#3036C2×C1113yescomplemented
260#2991C2×C1111yescharacteristic, complemented
261C23×C11—21no—
262C23×C11—23no—
263C23×C11—23no—
264C23×C11—46no—
265C23×C11—46no—
266C23×C11—83no—
267C23×C11C22×D413yes—
268Q8×C11—23no—
269Q8×C11—23no—
270Q8×C11—46no—
271Q8×C11AGL(1,ℤ/8)14yescomplemented
272D4×C11—26no—
273D4×C11—23no—
274D4×C11—23no—
275D4×C11—21no—
276D4×C11—23no—
277D4×C11—23no—
278D4×C11—46no—
279D4×C11—412no—
280D4×C11—46no—
281D4×C11—46no—
282D4×C11—83no—
283D4×C11—83no—
284D4×C11—83no—
285D4×C11—86no—
286D4×C11H(5,𝔽2)12yes—
287C2×C4×C11—26no—
288C2×C4×C11—23no—
289C2×C4×C11—23no—
290C2×C4×C11—21no—
291C2×C4×C11—23no—
292C2×C4×C11—21no—
293C2×C4×C11—21no—
294C2×C4×C11—23no—
295C2×C4×C11—43no—
296C2×C4×C11—42no—
297C2×C4×C11—46no—
298C2×C4×C11—46no—
299C2×C4×C11—46no—
300C2×C4×C11—46no—
301C2×C4×C11—46no—
302C2×C4×C11—86no—
303C2×C4×C11C22×D411yescharacteristic
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C22×D413yes—
306C2×C4×C11C22×D413yes—
307C2×C4×C11C22×D413yes—
308C2×C4×C11C2511yescharacteristic
309C8×C11—23no—
310C8×C11—23no—
311C8×C11—21no—
312C8×C11—21no—
313C22×#41—21no—
314C2×AGL(1,ℤ/8)C22×C1116yes—
315#557C22×C1111yescharacteristic, complemented
316#553—23no—
317#550—21no—
318#550C22×C1111yescharacteristic
319#550C22×C1113yescomplemented
320#550C22×C1111yescharacteristic, complemented
321D4×Q8C22×C1111yescharacteristic
322#548—21no—
323#547C22×C1113yes—
324#547C22×C1113yescomplemented
325#546—23no—
326D42C22×C1113yes—
327#540—23no—
328#532C22×C1113yes—
329#532C22×C1113yescomplemented
330#529C22×C1113yescomplemented
331#525—23no—
332#520—21no—
333C4×#41C22×C1111yescharacteristic
334C2×C4×D4C22×C1113yes—
335#493C22×C1113yescomplemented
336#492C22×C1113yescomplemented
337#487C22×C1113yescomplemented
338#486C22×C1113yescomplemented
339#484C22×C1113yescomplemented
340#481C22×C1113yescomplemented
341#478C22×C1111yescharacteristic
342#478C22×C1113yescomplemented
343#475C22×C1113yescomplemented
344#474C22×C1113yescomplemented
345#469C22×C1116yescomplemented
346#468C22×C1116yescomplemented
347#463C22×C1113yes—
348#463C22×C1113yescomplemented
349#463C22×C1116yescomplemented
350#461C22×C1113yes—
351#461C22×C1113yescomplemented
352#460C22×C1113yescomplemented
353#459C22×C1113yes—
354#459C22×C1113yescomplemented
355#459C22×C1113yescomplemented
356#450C22×C1113yes—
357#449C22×C1116yescomplemented
358#449C22×C1116yescomplemented
359#447C22×C1113yes—
360C8×Q8C22×C1111yescharacteristic, complemented
361C8×Q8C22×C1111yescharacteristic, complemented
362C4×SD16C22×C1113yes—
363C4×SD16C22×C1113yescomplemented
364C4×D8C22×C1113yes—
365C4×D8C22×C1113yescomplemented
366#436C22×C1113yescomplemented
367#436C22×C1113yescomplemented
368#431C22×C1113yescomplemented
369#423C22×C1113yescomplemented
370#417C22×C1116yescomplemented
371C22×C11—23no—
372C22×C11—23no—
373C22×C11—22no—
374C22×C11—23no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—43no—
378C22×C11—43no—
379C22×C11—43no—
380C22×C11—43no—
381C22×C11—43no—
382C22×C11—43no—
383C22×C11—812no—
384C22×C11C23×D411yescharacteristic
385C4×C11—21no—
386C4×C11—23no—
387C4×C11—23no—
388C4×C11—21no—
389C4×C11—41no—
390C4×C11—43no—
391C4×C11—41no—
392C4×C11—41no—
393C4×C11—43no—
394C4×C11C2×AGL(1,ℤ/8)16yes—
395C4×C11C2×H(5,𝔽2)11yescharacteristic
396C4×C11#58511yescharacteristic
397C2×#41—21no—
398C2×#41—21no—
399C2×#41—23no—
400C2×#41—23no—
401C2×#41—48no—
402C2×#41D4×C1111yescharacteristic
403C2×#41C23×C1116yes—
404C22×Q8—21no—
405C22×D4—23no—
406C22×D4C23×C1113yes—
407C23×C4—23no—
408AGL(1,ℤ/8)—412no—
409C2×SD16C23×C1113yes—
410C2×SD16C23×C1116yes—
411C2×SD16C23×C1113yes—
412C2×D8C23×C1113yes—
413C2×D8C23×C1116yes—
414C2×D8C23×C1113yes—
415C2×M16C23×C1116yes—
416C4⋊Q8C23×C1113yes—
417C4⋊Q8C23×C1113yes—
418#127—23no—
419#127C23×C1113yes—
420#127C23×C1113yes—
421#126—23no—
422#125—23no—
423#125C23×C1111yescharacteristic
424#124—23no—
425#124C23×C1113yes—
426#123—23no—
427#123—26no—
428#123—26no—
429C22⋊Q8—23no—
430C22⋊Q8—23no—
431C22⋊Q8C23×C1113yes—
432#121—23no—
433#121—23no—
434#121—23no—
435#121—23no—
436#121—23no—
437#121—23no—
438#121—23no—
439#121—26no—
440#121C23×C1113yes—
441#121C23×C1116yes—
442#120—26no—
443C4×Q8—21no—
444C4×Q8D4×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—
461#117—23no—
462#117D4×C1113yes—
463C2×C4⋊C4—23no—
464C2×C4⋊C4C23×C1113yes—
465C2×C22⋊C4—23no—
466C2×C42C23×C1113yes—
467#107C23×C1113yes—
468#107C23×C1111yescharacteristic
469#106C23×C1113yes—
470#106C23×C1111yescharacteristic
471C4⋊C8C23×C1113yes—
472C4⋊C8C23×C1113yes—
473C4⋊C8C23×C1113yes—
474C4⋊C8C23×C1111yescharacteristic
475#103C23×C1113yes—
476#103C23×C1116yes—
477#103C23×C1113yes—
478#102C23×C1113yes—
479#102C23×C1116yes—
480#102C23×C1111yescharacteristic
481#102C23×C1113yes—
482#102C23×C1113yes—
483#102C23×C1111yescharacteristic
484#102C23×C1113yes—
485C22⋊C8C23×C1113yes—
486C22⋊C8C23×C1113yes—
487C4×C8C23×C1113yes—
488C4×C8C23×C1113yes—
489C2×C11—43no—
490C2×C11—42no—
491C2×C11—83no—
492C2×C11—83no—
493C2×C11#348811yescharacteristic
494C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
495C2×C11#358411yescharacteristic
496C24—23no—
497#41—24no—
498#41—412no—
499#41—46no—
500#41—46no—
501#41—412no—
502#41—44no—
503#41—44no—
504C2×Q8—23no—
505C2×Q8—44no—
506C2×Q8C2×D4×C1111yescharacteristic
507C2×Q8C24×C1113yes—
508C2×D4—26no—
509C2×D4—26no—
510C2×D4—23no—
511C2×D4—26no—
512C2×D4—23no—
513C2×D4—23no—
514C2×D4—23no—
515C2×D4—23no—
516C2×D4—23no—
517C2×D4—43no—
518C2×D4—412no—
519C2×D4C2×D4×C1113yes—
520C2×D4C24×C1113yes—
521C2×D4C24×C1113yes—
522C2×D4C24×C1111yescharacteristic
523C22×C4—23no—
524C22×C4—23no—
525C22×C4—21no—
526C22×C4—23no—
527C22×C4—23no—
528C22×C4—23no—
529C22×C4—26no—
530C22×C4—412no—
531C22×C4C2×D4×C1113yes—
532C22×C4C2×D4×C1113yes—
533C22×C4C24×C1113yes—
534SD16—26no—
535SD16—46no—
536SD16—43no—
537D8—26no—
538D8—46no—
539D8—43no—
540M16—46no—
541C2×C8C24×C1111yescharacteristic
542C2×C8C24×C1111yescharacteristic
543C2×C8C24×C1113yes—
544C2×C8C24×C1113yes—
545C4⋊C4—23no—
546C4⋊C4—23no—
547C4⋊C4—23no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—23no—
551C4⋊C4—23no—
552C4⋊C4—23no—
553C4⋊C4C2×D4×C1113yes—
554C4⋊C4C2×D4×C1113yes—
555C4⋊C4C24×C1111yescharacteristic
556C4⋊C4C24×C1111yescharacteristic
557C4⋊C4C24×C1111yescharacteristic
558C4⋊C4C24×C1113yes—
559C22⋊C4—23no—
560C22⋊C4—21no—
561C22⋊C4—23no—
562C22⋊C4—23no—
563C22⋊C4—23no—
564C22⋊C4—23no—
565C22⋊C4—23no—
566C22⋊C4—23no—
567C22⋊C4—26no—
568C22⋊C4—23no—
569C22⋊C4C2×D4×C1116yes—
570C42—23no—
571C42C2×D4×C1113yes—
572C42C2×D4×C1113yes—
573C42C24×C1113yes—
574C42C24×C1111yescharacteristic
575C11#6200311yescharacteristic, direct product factor, Sylow
576C23—21no—
577C23—23no—
578C23—23no—
579C23—46no—
580C23—46no—
581C23—83no—
582C23C22×D4×C1113yes—
583Q8—23no—
584Q8—23no—
585Q8—46no—
586Q8C11×AGL(1,ℤ/8)14yescomplemented
587D4—26no—
588D4—23no—
589D4—23no—
590D4—21no—
591D4—23no—
592D4—23no—
593D4—46no—
594D4—412no—
595D4—46no—
596D4—46no—
597D4—83no—
598D4—83no—
599D4—83no—
600D4—86no—
601D4C11×H(5,𝔽2)12yes—
602C2×C4—26no—
603C2×C4—23no—
604C2×C4—23no—
605C2×C4—21no—
606C2×C4—23no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—23no—
610C2×C4—43no—
611C2×C4—42no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4—46no—
615C2×C4—46no—
616C2×C4—46no—
617C2×C4—86no—
618C2×C4C22×D4×C1111yescharacteristic
619C2×C4C22×D4×C1111yescharacteristic
620C2×C4C22×D4×C1113yes—
621C2×C4C22×D4×C1113yes—
622C2×C4C22×D4×C1113yes—
623C2×C4C25×C1111yescharacteristic
624C8—23no—
625C8—23no—
626C8—21no—
627C8—21no—
628C22—23no—
629C22—22no—
630C22—23no—
631C22—23no—
632C22—41no—
633C22—41no—
634C22—43no—
635C22—43no—
636C22—43no—
637C22—43no—
638C22—43no—
639C22—43no—
640C22—812no—
641C22C23×D4×C1111yescharacteristic
642C4—23no—
643C4—21no—
644C4—21no—
645C4—23no—
646C4—43no—
647C4—41no—
648C4—43no—
649C4—41no—
650C4—41no—
651C4C2×C11×AGL(1,ℤ/8)16yes—
652C4C2×C11×H(5,𝔽2)11yescharacteristic
653C4C11×#58511yescharacteristic
654C2—43no—
655C2—42no—
656C2—83no—
657C2—83no—
658C2C11×#348811yescharacteristic
659C2C22×C11×AGL(1,ℤ/8)11yescharacteristic
660C2C11×#358411yescharacteristic
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×#3517C2semidirect
2. D4×C11×#41C2semidirect
3. C11×#3392C2semidirect
4. C11×#3391C2semidirect
5. C11×#3359C2semidirect
6. C11×#3358C2semidirect
7. C11×#3332C2semidirect
8. C11×#3330C2semidirect
9. C11×#3274C2semidirect
10. C11×#3272C2semidirect
11. C11×#3251C2semidirect
12. C11×#3207C2semidirect
13. C11×#3105C2semidirect
14. C11×#3036C2semidirect
15. C11×#2991C2semidirect
18. C11×#557C22semidirect
22. C11×#550C22semidirect
23. C11×#550C22semidirect
27. C11×#547C22semidirect
32. C11×#532C22semidirect
33. C11×#529C22semidirect
38. C11×#493C22semidirect
39. C11×#492C22semidirect
40. C11×#487C22semidirect
41. C11×#486C22semidirect
42. C11×#484C22semidirect
43. C11×#481C22semidirect
45. C11×#478C22semidirect
46. C11×#475C22semidirect
47. C11×#474C22semidirect
48. C11×#469C22semidirect
49. C11×#468C22semidirect
51. C11×#463C22semidirect
52. C11×#463C22semidirect
54. C11×#461C22semidirect
55. C11×#460C22semidirect
57. C11×#459C22semidirect
58. C11×#459C22semidirect
60. C11×#449C22semidirect
61. C11×#449C22semidirect
63. C8×Q8×C11C22semidirect
64. C8×Q8×C11C22semidirect
66. C4×C11×SD16C22semidirect
68. C4×C11×D8C22semidirect
69. C11×#436C22semidirect
70. C11×#436C22semidirect
71. C11×#431C22semidirect
72. C11×#423C22semidirect
73. C11×#417C22semidirect
166. #62003C11direct (N × H)
246. #3517C2×C11semidirect
247. D4×#41C2×C11semidirect
248. #3392C2×C11semidirect
249. #3391C2×C11semidirect
250. #3359C2×C11semidirect
251. #3358C2×C11semidirect
252. #3332C2×C11semidirect
253. #3330C2×C11semidirect
254. #3274C2×C11semidirect
255. #3272C2×C11semidirect
256. #3251C2×C11semidirect
257. #3207C2×C11semidirect
258. #3105C2×C11semidirect
259. #3036C2×C11semidirect
260. #2991C2×C11semidirect
271. Q8×C11AGL(1,ℤ/8)semidirect
315. #557C22×C11semidirect
319. #550C22×C11semidirect
320. #550C22×C11semidirect
324. #547C22×C11semidirect
329. #532C22×C11semidirect
330. #529C22×C11semidirect
335. #493C22×C11semidirect
336. #492C22×C11semidirect
337. #487C22×C11semidirect
338. #486C22×C11semidirect
339. #484C22×C11semidirect
340. #481C22×C11semidirect
342. #478C22×C11semidirect
343. #475C22×C11semidirect
344. #474C22×C11semidirect
345. #469C22×C11semidirect
346. #468C22×C11semidirect
348. #463C22×C11semidirect
349. #463C22×C11semidirect
351. #461C22×C11semidirect
352. #460C22×C11semidirect
354. #459C22×C11semidirect
355. #459C22×C11semidirect
357. #449C22×C11semidirect
358. #449C22×C11semidirect
360. C8×Q8C22×C11semidirect
361. C8×Q8C22×C11semidirect
363. C4×SD16C22×C11semidirect
365. C4×D8C22×C11semidirect
366. #436C22×C11semidirect
367. #436C22×C11semidirect
368. #431C22×C11semidirect
369. #423C22×C11semidirect
370. #417C22×C11semidirect
575. C11#62003direct (N × H)
586. Q8C11×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C11×#35172
D4×C11×#412
C11×#33922
C11×#33912
C11×#33592
C11×#33582
C11×#33322
C11×#33302
C11×#32742
C11×#32722
C11×#32512
C11×#32072
C11×#31052
C11×#30362
C11×#29912
#6200311