Finite Group Databasebeta

← C11×#61466 #14638659

Subgroups — C11×#61466 #14638659

Order 2816.

2102 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3482C211yesmaximal, characteristic, complemented
2D4×C11×#41C211yesmaximal, characteristic, complemented
3C11×#3392C211yesmaximal, characteristic, complemented
4Q8×C11×D8C211yesmaximal, characteristic, complemented
5C11×#3359C211yesmaximal, characteristic, complemented
6C11×#3358C211yesmaximal, characteristic, complemented
7C11×#3353C213yesmaximal, complemented
8C11×#3330C213yesmaximal, complemented
9C11×#3324C213yesmaximal, complemented
10C11×#3272C213yesmaximal, complemented
11C11×#3182C213yesmaximal, complemented
12C11×#3115C213yesmaximal, complemented
13C11×#3110C213yesmaximal, complemented
14C11×#2971C211yesmaximal, characteristic, complemented
15C4×C11×AGL(1,ℤ/8)C213yesmaximal, complemented
16C22×C11×#41—21no—
17C2×C11×AGL(1,ℤ/8)C2213yes—
18C11×#557C2211yescharacteristic, complemented
19C11×#556C2213yescomplemented
20C11×#552—23no—
21C11×#550C2211yescharacteristic
22D4×Q8×C11C2211yescharacteristic
23D4×Q8×C11C2211yescharacteristic, complemented
24C11×#548—21no—
25C11×#548—21no—
26C11×#547C2213yes—
27C11×#547C2213yescomplemented
28C11×#546—23no—
29D42×C11C2213yes—
30C11×#533C2213yescomplemented
31C11×#532C2213yes—
32C11×#529—23no—
33C11×#525—23no—
34C4×C11×#41C2211yescharacteristic
35C4×C11×#41C2213yescomplemented
36C2×C4×Q8×C11—21no—
37C2×C4×D4×C11C2213yes—
38C11×#500C2213yescomplemented
39C11×#492C2213yescomplemented
40C11×#487C2213yescomplemented
41C11×#486C2213yescomplemented
42C11×#484C2216yescomplemented
43C11×#482C2216yescomplemented
44C11×#475C2213yescomplemented
45C11×#474C2213yes—
46C11×#474C2213yescomplemented
47C11×#474C2213yescomplemented
48C11×#468C2216yescomplemented
49C11×#468C2216yescomplemented
50C11×#461C2213yes—
51C11×#461C2213yescomplemented
52C11×#460C2213yescomplemented
53C11×#459C2213yescomplemented
54C11×#450C2216yes—
55C11×#449C2216yescomplemented
56C8×Q8×C11C2211yescharacteristic, complemented
57C8×Q8×C11C2211yescharacteristic, complemented
58C11×#442C2211yescharacteristic
59C11×#442C2213yescomplemented
60C11×#440C2213yes—
61C11×#440C2213yescomplemented
62C11×#440C2216yescomplemented
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—23no—
76C2×C11×#41—23no—
77C2×C11×#41—48no—
78C2×C11×#41D411yescharacteristic
79C2×C11×#41C2313yes—
80C22×Q8×C11—21no—
81C22×Q8×C11—21no—
82C22×D4×C11—23no—
83C22×D4×C11C2313yes—
84C23×C4×C11—23no—
85C11×AGL(1,ℤ/8)—212no—
86C2×C11×SD16C2313yes—
87C2×C11×SD16C2313yes—
88C2×C11×SD16C2316yes—
89C2×C11×D8C2313yes—
90C2×C11×D8C2311yescharacteristic
91C2×C11×M16C2313yes—
92C2×C11×M16C2313yes—
93C11×C4⋊Q8C2313yes—
94C11×C4⋊Q8C2313yes—
95C11×C4⋊Q8C2313yes—
96C11×#127C2313yes—
97C11×#126—26no—
98C11×#125—23no—
99C11×#125—23no—
100C11×#124—23no—
101C11×#124—23no—
102C11×#123—26no—
103C11×#123—26no—
104C11×C22⋊Q8—23no—
105C11×C22⋊Q8—23no—
106C11×C22⋊Q8—23no—
107C11×C22⋊Q8—23no—
108C11×C22⋊Q8C2316yes—
109C11×#121—23no—
110C11×#121—23no—
111C11×#121—23no—
112C11×#121—23no—
113C11×#121C2316yes—
114C11×#120—26no—
115C4×Q8×C11—21no—
116C4×Q8×C11—23no—
117C4×Q8×C11—23no—
118C4×Q8×C11D411yescharacteristic
119C4×Q8×C11C2313yes—
120C4×Q8×C11C2313yes—
121C4×Q8×C11C2311yescharacteristic
122C4×D4×C11—23no—
123C4×D4×C11—23no—
124C4×D4×C11—23no—
125C4×D4×C11—23no—
126C4×D4×C11—23no—
127C4×D4×C11D413yes—
128C4×D4×C11C2311yescharacteristic
129C4×D4×C11C2313yes—
130C4×D4×C11C2313yes—
131C4×D4×C11C2313yes—
132C4×D4×C11C2311yescharacteristic
133C4×D4×C11C2313yes—
134C4×D4×C11C2313yes—
135C11×#117—23no—
136C11×#117—23no—
137C11×#117D413yes—
138C11×#117C2313yes—
139C2×C11×C4⋊C4—23no—
140C2×C11×C4⋊C4C2313yes—
141C2×C11×C22⋊C4—23no—
142C2×C42×C11—23no—
143C2×C42×C11C2313yes—
144C11×#107C2313yes—
145C11×#107C2316yes—
146C11×#107C2313yes—
147C11×#106C2311yescharacteristic
148C11×#106C2313yes—
149C11×C4⋊C8C2313yes—
150C11×C4⋊C8C2313yes—
151C11×#103C2313yes—
152C11×#103C2313yes—
153C11×#103C2316yes—
154C11×#102C2311yescharacteristic
155C11×#102C2313yes—
156C11×#102C2311yescharacteristic
157C11×#102C2313yes—
158C11×#102C2313yes—
159C11×#102C2313yes—
160C11×#102C2316yes—
161C11×C22⋊C8C2316yes—
162C11×#97C2311yescharacteristic
163C11×#97C2313yes—
164C4×C8×C11C2313yes—
165C4×C8×C11C2313yes—
166#61466C1111yesmaximal, 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—
174C2×Q8×C11—23no—
175C2×Q8×C11—23no—
176C2×Q8×C11—44no—
177C2×Q8×C11—44no—
178C2×Q8×C11C2×D411yescharacteristic
179C2×Q8×C11C2413yes—
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—43no—
187C2×D4×C11—412no—
188C2×D4×C11C2×D413yes—
189C2×D4×C11C2413yes—
190C2×D4×C11C2411yescharacteristic
191C2×D4×C11C2411yescharacteristic
192C22×C4×C11—23no—
193C22×C4×C11—21no—
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—412no—
201C22×C4×C11C2×D413yes—
202C22×C4×C11C2×D413yes—
203C22×C4×C11C2413yes—
204C11×SD16—26no—
205C11×SD16—26no—
206C11×SD16—46no—
207C11×D8—26no—
208C11×D8#4114yescomplemented
209C11×M16—26no—
210C11×M16—43no—
211C2×C8×C11C2411yescharacteristic
212C2×C8×C11C2413yes—
213C2×C8×C11C2413yes—
214C2×C8×C11C2411yescharacteristic
215C11×C4⋊C4—23no—
216C11×C4⋊C4—26no—
217C11×C4⋊C4—23no—
218C11×C4⋊C4—23no—
219C11×C4⋊C4—23no—
220C11×C4⋊C4—23no—
221C11×C4⋊C4—23no—
222C11×C4⋊C4—23no—
223C11×C4⋊C4C2×D413yes—
224C11×C4⋊C4C2×D413yes—
225C11×C4⋊C4C2411yescharacteristic
226C11×C4⋊C4C2413yes—
227C11×C4⋊C4C2411yescharacteristic
228C11×C4⋊C4C2413yes—
229C11×C22⋊C4—26no—
230C11×C22⋊C4—23no—
231C11×C22⋊C4—21no—
232C11×C22⋊C4—23no—
233C11×C22⋊C4—23no—
234C11×C22⋊C4—23no—
235C11×C22⋊C4—21no—
236C11×C22⋊C4—23no—
237C11×C22⋊C4—26no—
238C11×C22⋊C4C2×D416yes—
239C42×C11—23no—
240C42×C11—23no—
241C42×C11—23no—
242C42×C11C2×D413yes—
243C42×C11C2×D413yes—
244C42×C11C2413yes—
245C42×C11C2411yescharacteristic
246#3482C2×C1111yescharacteristic, complemented
247D4×#41C2×C1111yescharacteristic, complemented
248#3392C2×C1111yescharacteristic, complemented
249Q8×D8C2×C1111yescharacteristic, complemented
250#3359C2×C1111yescharacteristic, complemented
251#3358C2×C1111yescharacteristic, complemented
252#3353C2×C1113yescomplemented
253#3330C2×C1113yescomplemented
254#3324C2×C1113yescomplemented
255#3272C2×C1113yescomplemented
256#3182C2×C1113yescomplemented
257#3115C2×C1113yescomplemented
258#3110C2×C1113yescomplemented
259#2971C2×C1111yescharacteristic, complemented
260C4×AGL(1,ℤ/8)C2×C1113yescomplemented
261C23×C11—21no—
262C23×C11—21no—
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×C11—46no—
272Q8×C11AGL(1,ℤ/8)14yescomplemented
273D4×C11—26no—
274D4×C11—23no—
275D4×C11—21no—
276D4×C11—21no—
277D4×C11—23no—
278D4×C11—46no—
279D4×C11—46no—
280D4×C11—412no—
281D4×C11—46no—
282D4×C11—83no—
283D4×C11C2×#4112yes—
284D4×C11C2×#4112yescomplemented
285C2×C4×C11—26no—
286C2×C4×C11—23no—
287C2×C4×C11—23no—
288C2×C4×C11—21no—
289C2×C4×C11—23no—
290C2×C4×C11—23no—
291C2×C4×C11—21no—
292C2×C4×C11—23no—
293C2×C4×C11—43no—
294C2×C4×C11—46no—
295C2×C4×C11—42no—
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×C11C22×D411yescharacteristic
303C2×C4×C11C22×D413yes—
304C2×C4×C11C22×D411yescharacteristic
305C2×C4×C11C22×D413yes—
306C2×C4×C11C22×D413yes—
307C2×C4×C11C2511yescharacteristic
308C8×C11—23no—
309C8×C11—21no—
310C8×C11—23no—
311C8×C11C2×#4112yescomplemented
312C22×#41—21no—
313C2×AGL(1,ℤ/8)C22×C1113yes—
314#557C22×C1111yescharacteristic, complemented
315#556C22×C1113yescomplemented
316#552—23no—
317#550C22×C1111yescharacteristic
318D4×Q8C22×C1111yescharacteristic
319D4×Q8C22×C1111yescharacteristic, complemented
320#548—21no—
321#548—21no—
322#547C22×C1113yes—
323#547C22×C1113yescomplemented
324#546—23no—
325D42C22×C1113yes—
326#533C22×C1113yescomplemented
327#532C22×C1113yes—
328#529—23no—
329#525—23no—
330C4×#41C22×C1111yescharacteristic
331C4×#41C22×C1113yescomplemented
332C2×C4×Q8—21no—
333C2×C4×D4C22×C1113yes—
334#500C22×C1113yescomplemented
335#492C22×C1113yescomplemented
336#487C22×C1113yescomplemented
337#486C22×C1113yescomplemented
338#484C22×C1116yescomplemented
339#482C22×C1116yescomplemented
340#475C22×C1113yescomplemented
341#474C22×C1113yes—
342#474C22×C1113yescomplemented
343#474C22×C1113yescomplemented
344#468C22×C1116yescomplemented
345#468C22×C1116yescomplemented
346#461C22×C1113yes—
347#461C22×C1113yescomplemented
348#460C22×C1113yescomplemented
349#459C22×C1113yescomplemented
350#450C22×C1116yes—
351#449C22×C1116yescomplemented
352C8×Q8C22×C1111yescharacteristic, complemented
353C8×Q8C22×C1111yescharacteristic, complemented
354#442C22×C1111yescharacteristic
355#442C22×C1113yescomplemented
356#440C22×C1113yes—
357#440C22×C1116yescomplemented
358#440C22×C1113yescomplemented
359C4×SD16C22×C1113yes—
360C4×SD16C22×C1113yescomplemented
361C4×D8C22×C1113yes—
362C4×D8C22×C1113yescomplemented
363#436C22×C1113yescomplemented
364#436C22×C1113yescomplemented
365#432C22×C1113yescomplemented
366#428C22×C1113yescomplemented
367#418C22×C1113yes—
368#417C22×C1113yescomplemented
369C4×M16C22×C1113yescomplemented
370C22×C11—23no—
371C22×C11—23no—
372C22×C11—22no—
373C22×C11—22no—
374C22×C11—23no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—41no—
378C22×C11—41no—
379C22×C11—43no—
380C22×C11—43no—
381C22×C11—43no—
382C22×C11—812no—
383C22×C11C23×D411yescharacteristic
384C4×C11—21no—
385C4×C11—23no—
386C4×C11—23no—
387C4×C11—21no—
388C4×C11—41no—
389C4×C11—43no—
390C4×C11—41no—
391C4×C11—43no—
392C4×C11—43no—
393C4×C11C2×AGL(1,ℤ/8)16yes—
394C4×C11C22×#4111yescharacteristic
395C4×C11#58511yescharacteristic
396C2×#41—21no—
397C2×#41—23no—
398C2×#41—23no—
399C2×#41—48no—
400C2×#41D4×C1111yescharacteristic
401C2×#41C23×C1113yes—
402C22×Q8—21no—
403C22×Q8—21no—
404C22×D4—23no—
405C22×D4C23×C1113yes—
406C23×C4—23no—
407AGL(1,ℤ/8)—212no—
408C2×SD16C23×C1113yes—
409C2×SD16C23×C1113yes—
410C2×SD16C23×C1116yes—
411C2×D8C23×C1113yes—
412C2×D8C23×C1111yescharacteristic
413C2×M16C23×C1113yes—
414C2×M16C23×C1113yes—
415C4⋊Q8C23×C1113yes—
416C4⋊Q8C23×C1113yes—
417C4⋊Q8C23×C1113yes—
418#127C23×C1113yes—
419#126—26no—
420#125—23no—
421#125—23no—
422#124—23no—
423#124—23no—
424#123—26no—
425#123—26no—
426C22⋊Q8—23no—
427C22⋊Q8—23no—
428C22⋊Q8—23no—
429C22⋊Q8—23no—
430C22⋊Q8C23×C1116yes—
431#121—23no—
432#121—23no—
433#121—23no—
434#121—23no—
435#121C23×C1116yes—
436#120—26no—
437C4×Q8—21no—
438C4×Q8—23no—
439C4×Q8—23no—
440C4×Q8D4×C1111yescharacteristic
441C4×Q8C23×C1113yes—
442C4×Q8C23×C1113yes—
443C4×Q8C23×C1111yescharacteristic
444C4×D4—23no—
445C4×D4—23no—
446C4×D4—23no—
447C4×D4—23no—
448C4×D4—23no—
449C4×D4D4×C1113yes—
450C4×D4C23×C1111yescharacteristic
451C4×D4C23×C1113yes—
452C4×D4C23×C1113yes—
453C4×D4C23×C1113yes—
454C4×D4C23×C1111yescharacteristic
455C4×D4C23×C1113yes—
456C4×D4C23×C1113yes—
457#117—23no—
458#117—23no—
459#117D4×C1113yes—
460#117C23×C1113yes—
461C2×C4⋊C4—23no—
462C2×C4⋊C4C23×C1113yes—
463C2×C22⋊C4—23no—
464C2×C42—23no—
465C2×C42C23×C1113yes—
466#107C23×C1113yes—
467#107C23×C1113yes—
468#107C23×C1116yes—
469#106C23×C1111yescharacteristic
470#106C23×C1113yes—
471C4⋊C8C23×C1113yes—
472C4⋊C8C23×C1113yes—
473#103C23×C1113yes—
474#103C23×C1113yes—
475#103C23×C1116yes—
476#102C23×C1111yescharacteristic
477#102C23×C1113yes—
478#102C23×C1111yescharacteristic
479#102C23×C1113yes—
480#102C23×C1113yes—
481#102C23×C1113yes—
482#102C23×C1116yes—
483C22⋊C8C23×C1116yes—
484#97C23×C1111yescharacteristic
485#97C23×C1113yes—
486C4×C8C23×C1113yes—
487C4×C8C23×C1113yes—
488C2×C11—43no—
489C2×C11—42no—
490C2×C11—42no—
491C2×C11—83no—
492C2×C11D4×#4111yescharacteristic
493C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
494C2×C11#358611yescharacteristic
495C24—23no—
496#41—24no—
497#41—26no—
498#41—43no—
499#41—412no—
500#41—412no—
501#41—44no—
502C2×Q8—23no—
503C2×Q8—23no—
504C2×Q8—44no—
505C2×Q8—44no—
506C2×Q8C2×D4×C1111yescharacteristic
507C2×Q8C24×C1113yes—
508C2×D4—26no—
509C2×D4—23no—
510C2×D4—26no—
511C2×D4—23no—
512C2×D4—23no—
513C2×D4—23no—
514C2×D4—43no—
515C2×D4—412no—
516C2×D4C2×D4×C1113yes—
517C2×D4C24×C1113yes—
518C2×D4C24×C1111yescharacteristic
519C2×D4C24×C1111yescharacteristic
520C22×C4—23no—
521C22×C4—21no—
522C22×C4—23no—
523C22×C4—23no—
524C22×C4—21no—
525C22×C4—23no—
526C22×C4—23no—
527C22×C4—23no—
528C22×C4—412no—
529C22×C4C2×D4×C1113yes—
530C22×C4C2×D4×C1113yes—
531C22×C4C24×C1113yes—
532SD16—26no—
533SD16—26no—
534SD16—46no—
535D8—26no—
536D8C11×#4114yescomplemented
537M16—26no—
538M16—43no—
539C2×C8C24×C1111yescharacteristic
540C2×C8C24×C1113yes—
541C2×C8C24×C1113yes—
542C2×C8C24×C1111yescharacteristic
543C4⋊C4—23no—
544C4⋊C4—26no—
545C4⋊C4—23no—
546C4⋊C4—23no—
547C4⋊C4—23no—
548C4⋊C4—23no—
549C4⋊C4—23no—
550C4⋊C4—23no—
551C4⋊C4C2×D4×C1113yes—
552C4⋊C4C2×D4×C1113yes—
553C4⋊C4C24×C1111yescharacteristic
554C4⋊C4C24×C1113yes—
555C4⋊C4C24×C1111yescharacteristic
556C4⋊C4C24×C1113yes—
557C22⋊C4—26no—
558C22⋊C4—23no—
559C22⋊C4—21no—
560C22⋊C4—23no—
561C22⋊C4—23no—
562C22⋊C4—23no—
563C22⋊C4—21no—
564C22⋊C4—23no—
565C22⋊C4—26no—
566C22⋊C4C2×D4×C1116yes—
567C42—23no—
568C42—23no—
569C42—23no—
570C42C2×D4×C1113yes—
571C42C2×D4×C1113yes—
572C42C24×C1113yes—
573C42C24×C1111yescharacteristic
574C11#6146611yescharacteristic, direct product factor, Sylow
575C23—21no—
576C23—21no—
577C23—23no—
578C23—46no—
579C23—46no—
580C23—83no—
581C23C22×D4×C1113yes—
582Q8—23no—
583Q8—23no—
584Q8—46no—
585Q8—46no—
586Q8C11×AGL(1,ℤ/8)14yescomplemented
587D4—26no—
588D4—23no—
589D4—21no—
590D4—21no—
591D4—23no—
592D4—46no—
593D4—46no—
594D4—412no—
595D4—46no—
596D4—83no—
597D4C2×C11×#4112yes—
598D4C2×C11×#4112yescomplemented
599C2×C4—26no—
600C2×C4—23no—
601C2×C4—23no—
602C2×C4—21no—
603C2×C4—23no—
604C2×C4—23no—
605C2×C4—21no—
606C2×C4—23no—
607C2×C4—43no—
608C2×C4—46no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—46no—
612C2×C4—46no—
613C2×C4—46no—
614C2×C4—46no—
615C2×C4—46no—
616C2×C4C22×D4×C1111yescharacteristic
617C2×C4C22×D4×C1113yes—
618C2×C4C22×D4×C1111yescharacteristic
619C2×C4C22×D4×C1113yes—
620C2×C4C22×D4×C1113yes—
621C2×C4C25×C1111yescharacteristic
622C8—23no—
623C8—21no—
624C8—23no—
625C8C2×C11×#4112yescomplemented
626C22—23no—
627C22—22no—
628C22—22no—
629C22—23no—
630C22—23no—
631C22—41no—
632C22—41no—
633C22—41no—
634C22—41no—
635C22—43no—
636C22—43no—
637C22—43no—
638C22—812no—
639C22C23×D4×C1111yescharacteristic
640C4—23no—
641C4—21no—
642C4—21no—
643C4—23no—
644C4—43no—
645C4—41no—
646C4—43no—
647C4—43no—
648C4—41no—
649C4C2×C11×AGL(1,ℤ/8)16yes—
650C4C22×C11×#4111yescharacteristic
651C4C11×#58511yescharacteristic
652C2—43no—
653C2—42no—
654C2—42no—
655C2—83no—
656C2D4×C11×#4111yescharacteristic
657C2C22×C11×AGL(1,ℤ/8)11yescharacteristic
658C2C11×#358611yescharacteristic
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×#3482C2semidirect
2. D4×C11×#41C2semidirect
3. C11×#3392C2semidirect
4. Q8×C11×D8C2semidirect
5. C11×#3359C2semidirect
6. C11×#3358C2semidirect
7. C11×#3353C2semidirect
8. C11×#3330C2semidirect
9. C11×#3324C2semidirect
10. C11×#3272C2semidirect
11. C11×#3182C2semidirect
12. C11×#3115C2semidirect
13. C11×#3110C2semidirect
14. C11×#2971C2semidirect
15. C4×C11×AGL(1,ℤ/8)C2semidirect
18. C11×#557C22semidirect
19. C11×#556C22semidirect
23. D4×Q8×C11C22semidirect
27. C11×#547C22semidirect
30. C11×#533C22semidirect
35. C4×C11×#41C22semidirect
38. C11×#500C22semidirect
39. C11×#492C22semidirect
40. C11×#487C22semidirect
41. C11×#486C22semidirect
42. C11×#484C22semidirect
43. C11×#482C22semidirect
44. C11×#475C22semidirect
46. C11×#474C22semidirect
47. C11×#474C22semidirect
48. C11×#468C22semidirect
49. C11×#468C22semidirect
51. C11×#461C22semidirect
52. C11×#460C22semidirect
53. C11×#459C22semidirect
55. C11×#449C22semidirect
56. C8×Q8×C11C22semidirect
57. C8×Q8×C11C22semidirect
59. C11×#442C22semidirect
61. C11×#440C22semidirect
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. #61466C11direct (N × H)
208. C11×D8#41semidirect
246. #3482C2×C11semidirect
247. D4×#41C2×C11semidirect
248. #3392C2×C11semidirect
249. Q8×D8C2×C11semidirect
250. #3359C2×C11semidirect
251. #3358C2×C11semidirect
252. #3353C2×C11semidirect
253. #3330C2×C11semidirect
254. #3324C2×C11semidirect
255. #3272C2×C11semidirect
256. #3182C2×C11semidirect
257. #3115C2×C11semidirect
258. #3110C2×C11semidirect
259. #2971C2×C11semidirect
260. C4×AGL(1,ℤ/8)C2×C11semidirect
272. Q8×C11AGL(1,ℤ/8)semidirect
284. D4×C11C2×#41semidirect
311. C8×C11C2×#41semidirect
314. #557C22×C11semidirect
315. #556C22×C11semidirect
319. D4×Q8C22×C11semidirect
323. #547C22×C11semidirect
326. #533C22×C11semidirect
331. C4×#41C22×C11semidirect
334. #500C22×C11semidirect
335. #492C22×C11semidirect
336. #487C22×C11semidirect
337. #486C22×C11semidirect
338. #484C22×C11semidirect
339. #482C22×C11semidirect
340. #475C22×C11semidirect
342. #474C22×C11semidirect
343. #474C22×C11semidirect
344. #468C22×C11semidirect
345. #468C22×C11semidirect
347. #461C22×C11semidirect
348. #460C22×C11semidirect
349. #459C22×C11semidirect
351. #449C22×C11semidirect
352. C8×Q8C22×C11semidirect
353. C8×Q8C22×C11semidirect
355. #442C22×C11semidirect
357. #440C22×C11semidirect
358. #440C22×C11semidirect
360. C4×SD16C22×C11semidirect
362. C4×D8C22×C11semidirect
363. #436C22×C11semidirect
364. #436C22×C11semidirect
365. #432C22×C11semidirect
366. #428C22×C11semidirect
368. #417C22×C11semidirect
369. C4×M16C22×C11semidirect
536. D8C11×#41semidirect
574. C11#61466direct (N × H)
586. Q8C11×AGL(1,ℤ/8)semidirect
598. D4C2×C11×#41semidirect
625. C8C2×C11×#41semidirect

Maximal subgroups

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

subgroupindex
C11×#34822
D4×C11×#412
C11×#33922
Q8×C11×D82
C11×#33592
C11×#33582
C11×#33532
C11×#33302
C11×#33242
C11×#32722
C11×#31822
C11×#31152
C11×#31102
C11×#29712
C4×C11×AGL(1,ℤ/8)2
#6146611