Finite Group Databasebeta

← C11×#19095 #14596288

Subgroups — C11×#19095 #14596288

Order 2816.

834 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3568C211yesmaximal, characteristic
2C11×#3239C211yesmaximal, characteristic, complemented
3C11×#3238C211yesmaximal, characteristic, complemented
4C11×#3218C211yesmaximal, characteristic, complemented
5C11×#1664C212yesmaximal, complemented
6C11×#1664C212yesmaximal, complemented
7C11×#1660C212yesmaximal, complemented
8C11×#1659C212yesmaximal, complemented
9C11×#1535C211yesmaximal, characteristic, complemented
10C11×#1535C211yesmaximal, characteristic, complemented
11C11×#1535C211yesmaximal, characteristic, complemented
12C11×#563C2211yescharacteristic
13C11×#563C2211yescharacteristic
14C11×#563C2211yescharacteristic
15C11×H(3,𝔽4)C2211yescharacteristic
16C11×#556—21no—
17C11×#556—21no—
18C11×#556—21no—
19C11×#551—21no—
20C11×#551—21no—
21C11×#551—21no—
22C11×#542—21no—
23C11×#542—21no—
24C11×#542—21no—
25C11×#538—21no—
26C11×#538—21no—
27C11×#538—21no—
28C2×C11×C4⋊Q8C2211yescharacteristic, complemented
29C11×#529C2211yescharacteristic
30C11×#529C2211yescharacteristic
31C11×#529C2211yescharacteristic
32C11×#501C2212yescomplemented
33C11×#501C2212yescomplemented
34C11×#497C2212yes—
35C11×#491C2212yescomplemented
36C11×#489C2212yes—
37C11×#489C2212yes—
38C11×#484—21no—
39C11×#483—21no—
40C11×#481—21no—
41C11×#480—21no—
42C11×#477—21no—
43C11×#476—21no—
44C11×#475—21no—
45C11×#474—21no—
46C11×#462—21no—
47C11×#461—21no—
48C11×#451—21no—
49C11×#448—21no—
50C11×#432C2211yescharacteristic, complemented
51C11×#432C2211yescharacteristic, complemented
52C11×#432C2211yescharacteristic, complemented
53C11×#330C2212yescomplemented
54C11×#330C2212yescomplemented
55C11×#330C2212yescomplemented
56C11×#329C2212yes—
57C11×#329C2212yes—
58C11×#329C2212yes—
59C22×Q8×C11—21no—
60C2×C11×Q16—22no—
61C2×C11×SD16—22no—
62C11×C4⋊Q8—21no—
63C11×C4⋊Q8—21no—
64C11×C4⋊Q8—21no—
65C11×C4⋊Q8—21no—
66C11×C4⋊Q8—21no—
67C11×C4⋊Q8—21no—
68C11×C4⋊Q8C2312yes—
69C11×#126—21no—
70C11×#126—21no—
71C11×#126—21no—
72C11×#126—21no—
73C11×#126—21no—
74C11×#126—21no—
75C11×#126—21no—
76C11×#126—21no—
77C11×#126—21no—
78C11×#126—21no—
79C11×#126—21no—
80C11×#126—21no—
81C11×#126—21no—
82C11×#125C2311yescharacteristic
83C11×#125C2311yescharacteristic
84C11×#125C2311yescharacteristic
85C11×#124—21no—
86C11×#124—21no—
87C11×#124—21no—
88C11×#124—21no—
89C11×#124—21no—
90C11×#124—21no—
91C11×#124—21no—
92C11×#124—21no—
93C11×#124—21no—
94C11×#124C2311yescharacteristic
95C11×#124C2311yescharacteristic
96C11×#124C2311yescharacteristic
97C11×#123—21no—
98C11×#123—21no—
99C11×#123—21no—
100C11×#123—21no—
101C11×#123—21no—
102C11×#123—21no—
103C11×#123—21no—
104C11×#123—21no—
105C11×#123—21no—
106C11×C22⋊Q8—21no—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8—21no—
112C11×C22⋊Q8—21no—
113C11×C22⋊Q8—21no—
114C11×C22⋊Q8—21no—
115C11×C22⋊Q8D411yescharacteristic
116C11×C22⋊Q8D411yescharacteristic
117C11×C22⋊Q8D411yescharacteristic
118C11×#121—21no—
119C11×#121—21no—
120C11×#121—21no—
121C11×#121D411yescharacteristic
122C11×#121D411yescharacteristic
123C11×#121D411yescharacteristic
124C11×#120—21no—
125C11×#120—21no—
126C11×#120—21no—
127C11×#120—21no—
128C4×Q8×C11—21no—
129C4×Q8×C11—21no—
130C4×Q8×C11—21no—
131C4×Q8×C11D411yescharacteristic
132C4×Q8×C11D411yescharacteristic
133C4×Q8×C11D411yescharacteristic
134C4×D4×C11—21no—
135C4×D4×C11—21no—
136C4×D4×C11—21no—
137C4×D4×C11—21no—
138C4×D4×C11—21no—
139C4×D4×C11—21no—
140C4×D4×C11D411yescharacteristic
141C4×D4×C11D411yescharacteristic
142C4×D4×C11D411yescharacteristic
143C11×#117—21no—
144C11×#117—21no—
145C11×#117—21no—
146C11×#117—21no—
147C11×#117—21no—
148C11×#117—21no—
149C2×C11×C4⋊C4—21no—
150C2×C11×C4⋊C4—21no—
151C2×C11×C22⋊C4—21no—
152C2×C11×C22⋊C4—21no—
153C2×C11×C22⋊C4—21no—
154C2×C42×C11C2311yescharacteristic
155C11×#107—22no—
156C11×#107—22no—
157C11×#106—22no—
158C11×#106—22no—
159C11×C4⋊C8—21no—
160C11×C4⋊C8—21no—
161C11×C4⋊C8—21no—
162C11×#103—22no—
163C11×#103—22no—
164C11×#103—22no—
165C11×#103—22no—
166C11×#102—22no—
167C11×#102—22no—
168C11×C22⋊C8—21no—
169C11×C22⋊C8—21no—
170C11×C22⋊C8—21no—
171C11×#97C2312yes—
172C11×#97C2312yes—
173C11×#97C2312yes—
174#19095C1111yesmaximal, characteristic, direct product factor, Sylow
175C24×C11—21no—
176C2×Q8×C11—21no—
177C2×Q8×C11—21no—
178C2×Q8×C11—21no—
179C2×Q8×C11—22no—
180C2×Q8×C11—41no—
181C2×Q8×C11—82no—
182C2×Q8×C11C2×D411yescharacteristic
183C2×Q8×C11C2×D411yescharacteristic
184C2×Q8×C11C2×D411yescharacteristic
185C2×D4×C11—21no—
186C2×D4×C11—21no—
187C2×D4×C11—21no—
188C2×D4×C11—21no—
189C2×D4×C11—21no—
190C2×D4×C11—21no—
191C2×D4×C11C2×D411yescharacteristic
192C2×D4×C11C2×D411yescharacteristic
193C2×D4×C11C2×D411yescharacteristic
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11—41no—
201C22×C4×C11C2×D411yescharacteristic
202C22×C4×C11C2×D411yescharacteristic
203C22×C4×C11C2×D411yescharacteristic
204C11×Q16—82no—
205C11×SD16—82no—
206C2×C8×C11—22no—
207C2×C8×C11—22no—
208C2×C8×C11—22no—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4—21no—
214C11×C4⋊C4—21no—
215C11×C4⋊C4—21no—
216C11×C4⋊C4—21no—
217C11×C4⋊C4—21no—
218C11×C4⋊C4—21no—
219C11×C4⋊C4—21no—
220C11×C4⋊C4—21no—
221C11×C4⋊C4—21no—
222C11×C4⋊C4—21no—
223C11×C4⋊C4—21no—
224C11×C4⋊C4—21no—
225C11×C4⋊C4—21no—
226C11×C4⋊C4—21no—
227C11×C4⋊C4—22no—
228C11×C4⋊C4—22no—
229C11×C4⋊C4—41no—
230C11×C4⋊C4—41no—
231C11×C4⋊C4C2×D411yescharacteristic
232C11×C4⋊C4C2×D411yescharacteristic
233C11×C4⋊C4C2×D411yescharacteristic
234C11×C4⋊C4C2×D411yescharacteristic
235C11×C4⋊C4C2×D411yescharacteristic
236C11×C4⋊C4C2×D411yescharacteristic
237C11×C22⋊C4—21no—
238C11×C22⋊C4—21no—
239C11×C22⋊C4—21no—
240C11×C22⋊C4—21no—
241C11×C22⋊C4—21no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C11×C22⋊C4—21no—
245C11×C22⋊C4—21no—
246C11×C22⋊C4—21no—
247C11×C22⋊C4—21no—
248C11×C22⋊C4—21no—
249C11×C22⋊C4—21no—
250C11×C22⋊C4—21no—
251C11×C22⋊C4—21no—
252C11×C22⋊C4—21no—
253C11×C22⋊C4—21no—
254C11×C22⋊C4—21no—
255C11×C22⋊C4—21no—
256C11×C22⋊C4—21no—
257C11×C22⋊C4—21no—
258C11×C22⋊C4—21no—
259C11×C22⋊C4—21no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—21no—
262C11×C22⋊C4—21no—
263C11×C22⋊C4—21no—
264C42×C11—21no—
265C42×C11—21no—
266C42×C11—21no—
267C42×C11—21no—
268C42×C11—21no—
269C42×C11—21no—
270C42×C11—21no—
271C42×C11C2×D411yescharacteristic
272C42×C11C2×D411yescharacteristic
273C42×C11C2×D411yescharacteristic
274C42×C11C2411yescharacteristic
275#3568C2×C1111yescharacteristic
276#3239C2×C1111yescharacteristic, complemented
277#3238C2×C1111yescharacteristic, complemented
278#3218C2×C1111yescharacteristic, complemented
279#1664C2×C1112yescomplemented
280#1664C2×C1112yescomplemented
281#1660C2×C1112yescomplemented
282#1659C2×C1112yescomplemented
283#1535C2×C1111yescharacteristic, complemented
284#1535C2×C1111yescharacteristic, complemented
285#1535C2×C1111yescharacteristic, complemented
286C23×C11—21no—
287C23×C11—21no—
288C23×C11—21no—
289C23×C11—81no—
290C23×C11—81no—
291C23×C11—81no—
292C23×C11#12011yescharacteristic
293Q8×C11—41no—
294Q8×C11—41no—
295Q8×C11—41no—
296Q8×C11—42no—
297Q8×C11—42no—
298Q8×C11—82no—
299Q8×C11—81no—
300Q8×C11—81no—
301Q8×C11—81no—
302D4×C11—41no—
303D4×C11—41no—
304D4×C11—41no—
305D4×C11—81no—
306D4×C11—81no—
307D4×C11—81no—
308D4×C11—81no—
309D4×C11—81no—
310D4×C11—81no—
311C2×C4×C11—21no—
312C2×C4×C11—21no—
313C2×C4×C11—21no—
314C2×C4×C11—21no—
315C2×C4×C11—21no—
316C2×C4×C11—21no—
317C2×C4×C11—21no—
318C2×C4×C11—21no—
319C2×C4×C11—21no—
320C2×C4×C11—41no—
321C2×C4×C11—41no—
322C2×C4×C11—41no—
323C2×C4×C11—42no—
324C2×C4×C11—81no—
325C2×C4×C11—81no—
326C2×C4×C11—81no—
327C2×C4×C11—81no—
328C2×C4×C11—81no—
329C2×C4×C11—81no—
330C2×C4×C11—82no—
331C2×C4×C11#12011yescharacteristic
332C2×C4×C11#12011yescharacteristic
333C2×C4×C11#12011yescharacteristic
334C2×C4×C11C22×D411yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C8×C11—42no—
338C8×C11—42no—
339C8×C11—42no—
340#563C22×C1111yescharacteristic
341#563C22×C1111yescharacteristic
342#563C22×C1111yescharacteristic
343H(3,𝔽4)C22×C1111yescharacteristic
344#556—21no—
345#556—21no—
346#556—21no—
347#551—21no—
348#551—21no—
349#551—21no—
350#542—21no—
351#542—21no—
352#542—21no—
353#538—21no—
354#538—21no—
355#538—21no—
356C2×C4⋊Q8C22×C1111yescharacteristic, complemented
357#529C22×C1111yescharacteristic
358#529C22×C1111yescharacteristic
359#529C22×C1111yescharacteristic
360#501C22×C1112yescomplemented
361#501C22×C1112yescomplemented
362#497C22×C1112yes—
363#491C22×C1112yescomplemented
364#489C22×C1112yes—
365#489C22×C1112yes—
366#484—21no—
367#483—21no—
368#481—21no—
369#480—21no—
370#477—21no—
371#476—21no—
372#475—21no—
373#474—21no—
374#462—21no—
375#461—21no—
376#451—21no—
377#448—21no—
378#432C22×C1111yescharacteristic, complemented
379#432C22×C1111yescharacteristic, complemented
380#432C22×C1111yescharacteristic, complemented
381#330C22×C1112yescomplemented
382#330C22×C1112yescomplemented
383#330C22×C1112yescomplemented
384#329C22×C1112yes—
385#329C22×C1112yes—
386#329C22×C1112yes—
387C22×C11—21no—
388C22×C11—21no—
389C22×C11—21no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11—41no—
394C22×C11—41no—
395C22×C11—41no—
396C22×C11—41no—
397C22×C11—41no—
398C22×C11—41no—
399C22×C11—162no—
400C22×C11C2×#12011yescharacteristic
401C4×C11—21no—
402C4×C11—21no—
403C4×C11—21no—
404C4×C11—21no—
405C4×C11—21no—
406C4×C11—21no—
407C4×C11—41no—
408C4×C11—41no—
409C4×C11—41no—
410C4×C11—41no—
411C4×C11—41no—
412C4×C11—41no—
413C4×C11—41no—
414C4×C11—41no—
415C4×C11—41no—
416C4×C11—82no—
417C22×Q8—21no—
418C2×Q16—22no—
419C2×SD16—22no—
420C4⋊Q8—21no—
421C4⋊Q8—21no—
422C4⋊Q8—21no—
423C4⋊Q8—21no—
424C4⋊Q8—21no—
425C4⋊Q8—21no—
426C4⋊Q8C23×C1112yes—
427#126—21no—
428#126—21no—
429#126—21no—
430#126—21no—
431#126—21no—
432#126—21no—
433#126—21no—
434#126—21no—
435#126—21no—
436#126—21no—
437#126—21no—
438#126—21no—
439#126—21no—
440#125C23×C1111yescharacteristic
441#125C23×C1111yescharacteristic
442#125C23×C1111yescharacteristic
443#124—21no—
444#124—21no—
445#124—21no—
446#124—21no—
447#124—21no—
448#124—21no—
449#124—21no—
450#124—21no—
451#124—21no—
452#124C23×C1111yescharacteristic
453#124C23×C1111yescharacteristic
454#124C23×C1111yescharacteristic
455#123—21no—
456#123—21no—
457#123—21no—
458#123—21no—
459#123—21no—
460#123—21no—
461#123—21no—
462#123—21no—
463#123—21no—
464C22⋊Q8—21no—
465C22⋊Q8—21no—
466C22⋊Q8—21no—
467C22⋊Q8—21no—
468C22⋊Q8—21no—
469C22⋊Q8—21no—
470C22⋊Q8—21no—
471C22⋊Q8—21no—
472C22⋊Q8—21no—
473C22⋊Q8D4×C1111yescharacteristic
474C22⋊Q8D4×C1111yescharacteristic
475C22⋊Q8D4×C1111yescharacteristic
476#121—21no—
477#121—21no—
478#121—21no—
479#121D4×C1111yescharacteristic
480#121D4×C1111yescharacteristic
481#121D4×C1111yescharacteristic
482#120—21no—
483#120—21no—
484#120—21no—
485#120—21no—
486C4×Q8—21no—
487C4×Q8—21no—
488C4×Q8—21no—
489C4×Q8D4×C1111yescharacteristic
490C4×Q8D4×C1111yescharacteristic
491C4×Q8D4×C1111yescharacteristic
492C4×D4—21no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—21no—
496C4×D4—21no—
497C4×D4—21no—
498C4×D4D4×C1111yescharacteristic
499C4×D4D4×C1111yescharacteristic
500C4×D4D4×C1111yescharacteristic
501#117—21no—
502#117—21no—
503#117—21no—
504#117—21no—
505#117—21no—
506#117—21no—
507C2×C4⋊C4—21no—
508C2×C4⋊C4—21no—
509C2×C22⋊C4—21no—
510C2×C22⋊C4—21no—
511C2×C22⋊C4—21no—
512C2×C42C23×C1111yescharacteristic
513#107—22no—
514#107—22no—
515#106—22no—
516#106—22no—
517C4⋊C8—21no—
518C4⋊C8—21no—
519C4⋊C8—21no—
520#103—22no—
521#103—22no—
522#103—22no—
523#103—22no—
524#102—22no—
525#102—22no—
526C22⋊C8—21no—
527C22⋊C8—21no—
528C22⋊C8—21no—
529#97C23×C1112yes—
530#97C23×C1112yes—
531#97C23×C1112yes—
532C2×C11—41no—
533C2×C11—81no—
534C2×C11—81no—
535C2×C11—81no—
536C2×C11#302111yescharacteristic
537C2×C11#302211yescharacteristic
538C2×C11#302211yescharacteristic
539C24—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—21no—
543C2×Q8—22no—
544C2×Q8—41no—
545C2×Q8—82no—
546C2×Q8C2×D4×C1111yescharacteristic
547C2×Q8C2×D4×C1111yescharacteristic
548C2×Q8C2×D4×C1111yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4C2×D4×C1111yescharacteristic
556C2×D4C2×D4×C1111yescharacteristic
557C2×D4C2×D4×C1111yescharacteristic
558C22×C4—21no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—41no—
565C22×C4C2×D4×C1111yescharacteristic
566C22×C4C2×D4×C1111yescharacteristic
567C22×C4C2×D4×C1111yescharacteristic
568Q16—82no—
569SD16—82no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—41no—
594C4⋊C4—41no—
595C4⋊C4C2×D4×C1111yescharacteristic
596C4⋊C4C2×D4×C1111yescharacteristic
597C4⋊C4C2×D4×C1111yescharacteristic
598C4⋊C4C2×D4×C1111yescharacteristic
599C4⋊C4C2×D4×C1111yescharacteristic
600C4⋊C4C2×D4×C1111yescharacteristic
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—21no—
604C22⋊C4—21no—
605C22⋊C4—21no—
606C22⋊C4—21no—
607C22⋊C4—21no—
608C22⋊C4—21no—
609C22⋊C4—21no—
610C22⋊C4—21no—
611C22⋊C4—21no—
612C22⋊C4—21no—
613C22⋊C4—21no—
614C22⋊C4—21no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—21no—
621C22⋊C4—21no—
622C22⋊C4—21no—
623C22⋊C4—21no—
624C22⋊C4—21no—
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—21no—
628C42—21no—
629C42—21no—
630C42—21no—
631C42—21no—
632C42—21no—
633C42—21no—
634C42—21no—
635C42C2×D4×C1111yescharacteristic
636C42C2×D4×C1111yescharacteristic
637C42C2×D4×C1111yescharacteristic
638C42C24×C1111yescharacteristic
639C11#1909511yescharacteristic, direct product factor, Sylow
640C23—21no—
641C23—21no—
642C23—21no—
643C23—81no—
644C23—81no—
645C23—81no—
646C23C11×#12011yescharacteristic
647Q8—41no—
648Q8—41no—
649Q8—41no—
650Q8—42no—
651Q8—42no—
652Q8—82no—
653Q8—81no—
654Q8—81no—
655Q8—81no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—81no—
660D4—81no—
661D4—81no—
662D4—81no—
663D4—81no—
664D4—81no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—81no—
679C2×C4—81no—
680C2×C4—81no—
681C2×C4—81no—
682C2×C4—81no—
683C2×C4—81no—
684C2×C4—82no—
685C2×C4C11×#12011yescharacteristic
686C2×C4C11×#12011yescharacteristic
687C2×C4C11×#12011yescharacteristic
688C2×C4C22×D4×C1111yescharacteristic
689C2×C4C22×D4×C1111yescharacteristic
690C2×C4C22×D4×C1111yescharacteristic
691C8—42no—
692C8—42no—
693C8—42no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—41no—
706C22—162no—
707C22C2×C11×#12011yescharacteristic
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—41no—
722C4—41no—
723C4—82no—
724C2—41no—
725C2—81no—
726C2—81no—
727C2—81no—
728C2C11×#302111yescharacteristic
729C2C11×#302211yescharacteristic
730C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3568C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C11 ◁ C2×C42×C11 ◁ G

Complements

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

NH ≅ G/Ntype
2. C11×#3239C2semidirect
3. C11×#3238C2semidirect
4. C11×#3218C2semidirect
5. C11×#1664C2semidirect
6. C11×#1664C2semidirect
7. C11×#1660C2semidirect
8. C11×#1659C2semidirect
9. C11×#1535C2semidirect
10. C11×#1535C2semidirect
11. C11×#1535C2semidirect
28. C2×C11×C4⋊Q8C22semidirect
32. C11×#501C22semidirect
33. C11×#501C22semidirect
35. C11×#491C22semidirect
50. C11×#432C22semidirect
51. C11×#432C22semidirect
52. C11×#432C22semidirect
53. C11×#330C22semidirect
54. C11×#330C22semidirect
55. C11×#330C22semidirect
174. #19095C11direct (N × H)
276. #3239C2×C11semidirect
277. #3238C2×C11semidirect
278. #3218C2×C11semidirect
279. #1664C2×C11semidirect
280. #1664C2×C11semidirect
281. #1660C2×C11semidirect
282. #1659C2×C11semidirect
283. #1535C2×C11semidirect
284. #1535C2×C11semidirect
285. #1535C2×C11semidirect
356. C2×C4⋊Q8C22×C11semidirect
360. #501C22×C11semidirect
361. #501C22×C11semidirect
363. #491C22×C11semidirect
378. #432C22×C11semidirect
379. #432C22×C11semidirect
380. #432C22×C11semidirect
381. #330C22×C11semidirect
382. #330C22×C11semidirect
383. #330C22×C11semidirect
639. C11#19095direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35682
C11×#32392
C11×#32382
C11×#32182
C11×#16642
C11×#16602
C11×#16592
C11×#15352
#1909511