Finite Group Databasebeta

← C11×#18962 #14596155

Subgroups — C11×#18962 #14596155

Order 2816.

964 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3546C211yesmaximal, characteristic, complemented
2C11×#3253C211yesmaximal, characteristic, complemented
3C11×#3247C211yesmaximal, characteristic, complemented
4C11×#3207C211yesmaximal, characteristic, complemented
5C11×#1638C211yesmaximal, characteristic, complemented
6C11×#1635C211yesmaximal, characteristic, complemented
7C11×#1631C211yesmaximal, characteristic, complemented
8C11×#1629C211yesmaximal, characteristic, complemented
9C11×#1628C211yesmaximal, characteristic, complemented
10C11×#1625C211yesmaximal, characteristic, complemented
11C11×#1621C211yesmaximal, characteristic, complemented
12C11×#1619C211yesmaximal, characteristic, complemented
13C11×#1547C211yesmaximal, characteristic, complemented
14C11×#1495C211yesmaximal, characteristic, complemented
15C11×#1480C211yesmaximal, characteristic, complemented
16C11×#560—22no—
17C11×#556C2211yescharacteristic
18C11×#553—21no—
19C11×#550—21no—
20C11×#550C2211yescharacteristic
21C11×#547C2211yescharacteristic
22C11×#546—21no—
23C11×#546—21no—
24D42×C11C2211yescharacteristic
25C11×#542—21no—
26C11×#538—22no—
27C11×#537—21no—
28C11×#535—21no—
29C11×#535—21no—
30C11×#532C2211yescharacteristic
31C11×#532C2211yescharacteristic
32C11×#532C2211yescharacteristic, complemented
33C11×#529C2211yescharacteristic
34C11×#493C2211yescharacteristic
35C11×#492C2211yescharacteristic
36C11×#487C2211yescharacteristic, complemented
37C11×#486C2211yescharacteristic, complemented
38C11×#478—21no—
39C11×#477C2211yescharacteristic, complemented
40C11×#476—21no—
41C11×#476C2211yescharacteristic
42C11×#476C2211yescharacteristic
43C11×#476C2211yescharacteristic, complemented
44C11×#469—21no—
45C11×#469—21no—
46C11×#466—21no—
47C11×#465—21no—
48C11×#463—21no—
49C11×#463—22no—
50C11×#460C2211yescharacteristic, complemented
51C11×#459—21no—
52C11×#459C2211yescharacteristic
53C11×#459C2211yescharacteristic
54C11×#459C2211yescharacteristic, complemented
55C11×#449—22no—
56C11×#431C2211yescharacteristic, complemented
57C11×#423C2211yescharacteristic, complemented
58C2×C11×C4⋊C8C2211yescharacteristic, complemented
59C11×#332C2211yescharacteristic, complemented
60C11×#332C2211yescharacteristic, complemented
61C11×#331C2211yescharacteristic
62C11×#331C2211yescharacteristic
63C11×Q8⋊C8C2211yescharacteristic, complemented
64C11×Q8⋊C8C2211yescharacteristic, complemented
65C11×D4⋊C8C2211yescharacteristic
66C11×D4⋊C8C2211yescharacteristic
67C11×D4⋊C8C2211yescharacteristic
68C11×D4⋊C8C2211yescharacteristic
69C11×D4⋊C8C2211yescharacteristic, complemented
70C11×D4⋊C8C2211yescharacteristic, complemented
71C2×C11×#41—21no—
72C2×C11×#41—21no—
73C2×C11×#41—21no—
74C2×C11×#41—21no—
75C2×C11×#41—21no—
76C22×D4×C11—21no—
77C22×D4×C11—21no—
78C2×C11×SD16—21no—
79C2×C11×SD16—22no—
80C2×C11×D8—22no—
81C2×C11×D8—21no—
82C2×C11×D8—21no—
83C2×C11×D8—21no—
84C2×C11×M16—21no—
85C22×C8×C11—21no—
86C11×C4⋊Q8D411yescharacteristic
87C11×C4⋊Q8C2311yescharacteristic
88C11×C4⋊Q8C2311yescharacteristic
89C11×#127—22no—
90C11×#127—21no—
91C11×#127D411yescharacteristic
92C11×#127C2311yescharacteristic
93C11×#127C2311yescharacteristic
94C11×#126—22no—
95C11×#126—22no—
96C11×#126—21no—
97C11×#125D411yescharacteristic
98C11×#124—22no—
99C11×#124—21no—
100C11×#124—21no—
101C11×#124—21no—
102C11×#124—21no—
103C11×#124D411yescharacteristic
104C11×#123—22no—
105C11×#123—22no—
106C11×#123—21no—
107C11×#123—22no—
108C11×C22⋊Q8—22no—
109C11×C22⋊Q8—21no—
110C11×C22⋊Q8—21no—
111C11×C22⋊Q8D411yescharacteristic
112C11×#121—22no—
113C11×#121—22no—
114C11×#121—22no—
115C11×#121—22no—
116C11×#121—22no—
117C11×#121—21no—
118C11×#121—22no—
119C11×#121—21no—
120C11×#121—21no—
121C11×#121—21no—
122C11×#121—21no—
123C11×#121—21no—
124C11×#121—21no—
125C11×#121—21no—
126C11×#121D411yescharacteristic
127C11×#121D411yescharacteristic
128C11×#121D411yescharacteristic
129C11×#121D412yes—
130C11×#120—22no—
131C11×#120—22no—
132C11×#120—22no—
133C11×#120—22no—
134C4×Q8×C11—21no—
135C4×Q8×C11C2311yescharacteristic
136C4×D4×C11—22no—
137C4×D4×C11—21no—
138C4×D4×C11—21no—
139C4×D4×C11—21no—
140C4×D4×C11—21no—
141C4×D4×C11—21no—
142C4×D4×C11—21no—
143C4×D4×C11D412yes—
144C4×D4×C11C2311yescharacteristic
145C4×D4×C11C2311yescharacteristic
146C4×D4×C11C2311yescharacteristic
147C11×#117—21no—
148C11×#117—21no—
149C2×C11×C4⋊C4—21no—
150C2×C11×C22⋊C4—22no—
151C2×C42×C11C2311yescharacteristic
152C11×#107—21no—
153C11×#106—21no—
154C11×#106—21no—
155C11×#106—21no—
156C11×C4⋊C8—21no—
157C11×C4⋊C8—21no—
158C11×C4⋊C8—21no—
159C11×C4⋊C8C2311yescharacteristic
160C11×C4⋊C8C2311yescharacteristic
161C11×C4⋊C8C2311yescharacteristic
162C11×C4⋊C8C2311yescharacteristic
163C11×#103—21no—
164C11×#103—22no—
165C11×#102—21no—
166C11×#102—21no—
167C11×#102—21no—
168C11×#102—22no—
169C11×#102—21no—
170C11×#102—21no—
171C11×#102—21no—
172C11×#102—21no—
173C11×C22⋊C8—21no—
174C4×C8×C11C2311yescharacteristic
175C4×C8×C11C2311yescharacteristic
176#18962C1111yesmaximal, characteristic, direct product factor, Sylow
177C24×C11—22no—
178C11×#41—81no—
179C11×#41—81no—
180C11×#41—81no—
181C11×#41—81no—
182C11×#41—81no—
183C11×#41—81no—
184C11×#41—81no—
185C11×#41—81no—
186C11×#41—82no—
187C2×Q8×C11—21no—
188C2×Q8×C11—21no—
189C2×Q8×C11—21no—
190C2×Q8×C11C2×D411yescharacteristic
191C2×D4×C11—22no—
192C2×D4×C11—22no—
193C2×D4×C11—22no—
194C2×D4×C11—22no—
195C2×D4×C11—22no—
196C2×D4×C11—21no—
197C2×D4×C11—21no—
198C2×D4×C11—22no—
199C2×D4×C11—21no—
200C2×D4×C11—21no—
201C2×D4×C11—21no—
202C2×D4×C11—21no—
203C2×D4×C11—21no—
204C2×D4×C11—21no—
205C2×D4×C11—21no—
206C2×D4×C11—21no—
207C2×D4×C11—41no—
208C2×D4×C11—81no—
209C2×D4×C11—81no—
210C2×D4×C11—81no—
211C2×D4×C11—81no—
212C2×D4×C11C2×D411yescharacteristic
213C2×D4×C11C2×D411yescharacteristic
214C2×D4×C11C2×D411yescharacteristic
215C2×D4×C11C2×D412yes—
216C22×C4×C11—22no—
217C22×C4×C11—22no—
218C22×C4×C11—21no—
219C22×C4×C11—21no—
220C22×C4×C11—21no—
221C22×C4×C11—22no—
222C22×C4×C11—41no—
223C22×C4×C11C2×D411yescharacteristic
224C22×C4×C11C2×D411yescharacteristic
225C22×C4×C11C2×D411yescharacteristic
226C11×SD16—81no—
227C11×SD16—82no—
228C11×D8—81no—
229C11×D8—81no—
230C11×D8—81no—
231C11×D8—82no—
232C11×M16—81no—
233C2×C8×C11—21no—
234C2×C8×C11—21no—
235C2×C8×C11—21no—
236C2×C8×C11—21no—
237C2×C8×C11—21no—
238C2×C8×C11—21no—
239C2×C8×C11—81no—
240C11×C4⋊C4—22no—
241C11×C4⋊C4—22no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—21no—
245C11×C4⋊C4—21no—
246C11×C4⋊C4—21no—
247C11×C4⋊C4—21no—
248C11×C4⋊C4—21no—
249C11×C4⋊C4—21no—
250C11×C4⋊C4C2×D412yes—
251C11×C4⋊C4C2×D411yescharacteristic
252C11×C4⋊C4C2×D411yescharacteristic
253C11×C4⋊C4C2×D411yescharacteristic
254C11×C4⋊C4C2×D411yescharacteristic
255C11×C22⋊C4—22no—
256C11×C22⋊C4—22no—
257C11×C22⋊C4—22no—
258C11×C22⋊C4—22no—
259C11×C22⋊C4—22no—
260C11×C22⋊C4—21no—
261C11×C22⋊C4—21no—
262C11×C22⋊C4—21no—
263C11×C22⋊C4—21no—
264C11×C22⋊C4—21no—
265C11×C22⋊C4—21no—
266C11×C22⋊C4—22no—
267C11×C22⋊C4—22no—
268C11×C22⋊C4—21no—
269C11×C22⋊C4—21no—
270C11×C22⋊C4—21no—
271C11×C22⋊C4—41no—
272C11×C22⋊C4—41no—
273C42×C11—22no—
274C42×C11—21no—
275C42×C11C2×D411yescharacteristic
276C42×C11C2×D411yescharacteristic
277C42×C11C2×D411yescharacteristic
278C42×C11C2411yescharacteristic
279#3546C2×C1111yescharacteristic, complemented
280#3253C2×C1111yescharacteristic, complemented
281#3247C2×C1111yescharacteristic, complemented
282#3207C2×C1111yescharacteristic, complemented
283#1638C2×C1111yescharacteristic, complemented
284#1635C2×C1111yescharacteristic, complemented
285#1631C2×C1111yescharacteristic, complemented
286#1629C2×C1111yescharacteristic, complemented
287#1628C2×C1111yescharacteristic, complemented
288#1625C2×C1111yescharacteristic, complemented
289#1621C2×C1111yescharacteristic, complemented
290#1619C2×C1111yescharacteristic, complemented
291#1547C2×C1111yescharacteristic, complemented
292#1495C2×C1111yescharacteristic, complemented
293#1480C2×C1111yescharacteristic, complemented
294C23×C11—21no—
295C23×C11—21no—
296C23×C11—22no—
297C23×C11—21no—
298C23×C11—41no—
299C23×C11—82no—
300C23×C11—82no—
301C23×C11—82no—
302C23×C11#12011yescharacteristic
303Q8×C11—21no—
304Q8×C11—21no—
305Q8×C11—42no—
306Q8×C11—41no—
307Q8×C11—41no—
308Q8×C11—81no—
309D4×C11—21no—
310D4×C11—21no—
311D4×C11—21no—
312D4×C11—21no—
313D4×C11—21no—
314D4×C11—21no—
315D4×C11—42no—
316D4×C11—42no—
317D4×C11—41no—
318D4×C11—41no—
319D4×C11—41no—
320D4×C11—41no—
321D4×C11—41no—
322D4×C11—41no—
323D4×C11—41no—
324D4×C11—41no—
325D4×C11—81no—
326D4×C11—81no—
327D4×C11—81no—
328D4×C11—81no—
329D4×C11—81no—
330D4×C11—82no—
331D4×C11—82no—
332D4×C11—82no—
333D4×C11—82no—
334D4×C11—82no—
335D4×C11—82no—
336D4×C11—82no—
337C2×C4×C11—21no—
338C2×C4×C11—21no—
339C2×C4×C11—21no—
340C2×C4×C11—21no—
341C2×C4×C11—21no—
342C2×C4×C11—21no—
343C2×C4×C11—21no—
344C2×C4×C11—22no—
345C2×C4×C11—21no—
346C2×C4×C11—21no—
347C2×C4×C11—41no—
348C2×C4×C11—41no—
349C2×C4×C11—41no—
350C2×C4×C11—41no—
351C2×C4×C11—41no—
352C2×C4×C11—41no—
353C2×C4×C11—41no—
354C2×C4×C11—41no—
355C2×C4×C11—82no—
356C2×C4×C11—82no—
357C2×C4×C11—82no—
358C2×C4×C11—82no—
359C2×C4×C11#12011yescharacteristic
360C2×C4×C11#12011yescharacteristic
361C2×C4×C11#12011yescharacteristic
362C2×C4×C11C22×D411yescharacteristic
363C2×C4×C11C22×D411yescharacteristic
364C2×C4×C11C22×D411yescharacteristic
365C8×C11—41no—
366C8×C11—41no—
367C8×C11—41no—
368C8×C11—41no—
369C8×C11—41no—
370C8×C11—41no—
371#560—22no—
372#556C22×C1111yescharacteristic
373#553—21no—
374#550—21no—
375#550C22×C1111yescharacteristic
376#547C22×C1111yescharacteristic
377#546—21no—
378#546—21no—
379D42C22×C1111yescharacteristic
380#542—21no—
381#538—22no—
382#537—21no—
383#535—21no—
384#535—21no—
385#532C22×C1111yescharacteristic
386#532C22×C1111yescharacteristic
387#532C22×C1111yescharacteristic, complemented
388#529C22×C1111yescharacteristic
389#493C22×C1111yescharacteristic
390#492C22×C1111yescharacteristic
391#487C22×C1111yescharacteristic, complemented
392#486C22×C1111yescharacteristic, complemented
393#478—21no—
394#477C22×C1111yescharacteristic, complemented
395#476—21no—
396#476C22×C1111yescharacteristic
397#476C22×C1111yescharacteristic
398#476C22×C1111yescharacteristic, complemented
399#469—21no—
400#469—21no—
401#466—21no—
402#465—21no—
403#463—21no—
404#463—22no—
405#460C22×C1111yescharacteristic, complemented
406#459—21no—
407#459C22×C1111yescharacteristic
408#459C22×C1111yescharacteristic
409#459C22×C1111yescharacteristic, complemented
410#449—22no—
411#431C22×C1111yescharacteristic, complemented
412#423C22×C1111yescharacteristic, complemented
413C2×C4⋊C8C22×C1111yescharacteristic, complemented
414#332C22×C1111yescharacteristic, complemented
415#332C22×C1111yescharacteristic, complemented
416#331C22×C1111yescharacteristic
417#331C22×C1111yescharacteristic
418Q8⋊C8C22×C1111yescharacteristic, complemented
419Q8⋊C8C22×C1111yescharacteristic, complemented
420D4⋊C8C22×C1111yescharacteristic
421D4⋊C8C22×C1111yescharacteristic
422D4⋊C8C22×C1111yescharacteristic
423D4⋊C8C22×C1111yescharacteristic
424D4⋊C8C22×C1111yescharacteristic, complemented
425D4⋊C8C22×C1111yescharacteristic, complemented
426C22×C11—21no—
427C22×C11—21no—
428C22×C11—21no—
429C22×C11—41no—
430C22×C11—41no—
431C22×C11—41no—
432C22×C11—41no—
433C22×C11—42no—
434C22×C11—42no—
435C22×C11—41no—
436C22×C11—41no—
437C22×C11—42no—
438C22×C11—41no—
439C22×C11—41no—
440C22×C11—41no—
441C22×C11—81no—
442C22×C11—81no—
443C22×C11—81no—
444C22×C11—164no—
445C22×C11C2×#12011yescharacteristic
446C4×C11—21no—
447C4×C11—21no—
448C4×C11—21no—
449C4×C11—21no—
450C4×C11—41no—
451C4×C11—41no—
452C4×C11—41no—
453C4×C11—41no—
454C4×C11—42no—
455C4×C11—41no—
456C4×C11—81no—
457C4×C11#57611yescharacteristic
458C4×C11#57611yescharacteristic
459C4×C11#57711yescharacteristic
460C4×C11#57711yescharacteristic
461C2×#41—21no—
462C2×#41—21no—
463C2×#41—21no—
464C2×#41—21no—
465C2×#41—21no—
466C22×D4—21no—
467C22×D4—21no—
468C2×SD16—21no—
469C2×SD16—22no—
470C2×D8—22no—
471C2×D8—21no—
472C2×D8—21no—
473C2×D8—21no—
474C2×M16—21no—
475C22×C8—21no—
476C4⋊Q8D4×C1111yescharacteristic
477C4⋊Q8C23×C1111yescharacteristic
478C4⋊Q8C23×C1111yescharacteristic
479#127—22no—
480#127—21no—
481#127D4×C1111yescharacteristic
482#127C23×C1111yescharacteristic
483#127C23×C1111yescharacteristic
484#126—22no—
485#126—22no—
486#126—21no—
487#125D4×C1111yescharacteristic
488#124—22no—
489#124—21no—
490#124—21no—
491#124—21no—
492#124—21no—
493#124D4×C1111yescharacteristic
494#123—22no—
495#123—22no—
496#123—21no—
497#123—22no—
498C22⋊Q8—22no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8D4×C1111yescharacteristic
502#121—22no—
503#121—22no—
504#121—22no—
505#121—22no—
506#121—22no—
507#121—21no—
508#121—22no—
509#121—21no—
510#121—21no—
511#121—21no—
512#121—21no—
513#121—21no—
514#121—21no—
515#121—21no—
516#121D4×C1111yescharacteristic
517#121D4×C1111yescharacteristic
518#121D4×C1111yescharacteristic
519#121D4×C1112yes—
520#120—22no—
521#120—22no—
522#120—22no—
523#120—22no—
524C4×Q8—21no—
525C4×Q8C23×C1111yescharacteristic
526C4×D4—22no—
527C4×D4—21no—
528C4×D4—21no—
529C4×D4—21no—
530C4×D4—21no—
531C4×D4—21no—
532C4×D4—21no—
533C4×D4D4×C1112yes—
534C4×D4C23×C1111yescharacteristic
535C4×D4C23×C1111yescharacteristic
536C4×D4C23×C1111yescharacteristic
537#117—21no—
538#117—21no—
539C2×C4⋊C4—21no—
540C2×C22⋊C4—22no—
541C2×C42C23×C1111yescharacteristic
542#107—21no—
543#106—21no—
544#106—21no—
545#106—21no—
546C4⋊C8—21no—
547C4⋊C8—21no—
548C4⋊C8—21no—
549C4⋊C8C23×C1111yescharacteristic
550C4⋊C8C23×C1111yescharacteristic
551C4⋊C8C23×C1111yescharacteristic
552C4⋊C8C23×C1111yescharacteristic
553#103—21no—
554#103—22no—
555#102—21no—
556#102—21no—
557#102—21no—
558#102—22no—
559#102—21no—
560#102—21no—
561#102—21no—
562#102—21no—
563C22⋊C8—21no—
564C4×C8C23×C1111yescharacteristic
565C4×C8C23×C1111yescharacteristic
566C2×C11—41no—
567C2×C11—81no—
568C2×C11—82no—
569C2×C11—81no—
570C2×C11—81no—
571C2×C11—161no—
572C2×C11#301211yescharacteristic
573C2×C11#301211yescharacteristic
574C2×C11#302111yescharacteristic
575C24—22no—
576#41—81no—
577#41—81no—
578#41—81no—
579#41—81no—
580#41—81no—
581#41—81no—
582#41—81no—
583#41—81no—
584#41—82no—
585C2×Q8—21no—
586C2×Q8—21no—
587C2×Q8—21no—
588C2×Q8C2×D4×C1111yescharacteristic
589C2×D4—22no—
590C2×D4—22no—
591C2×D4—22no—
592C2×D4—22no—
593C2×D4—22no—
594C2×D4—21no—
595C2×D4—21no—
596C2×D4—22no—
597C2×D4—21no—
598C2×D4—21no—
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—21no—
602C2×D4—21no—
603C2×D4—21no—
604C2×D4—21no—
605C2×D4—41no—
606C2×D4—81no—
607C2×D4—81no—
608C2×D4—81no—
609C2×D4—81no—
610C2×D4C2×D4×C1111yescharacteristic
611C2×D4C2×D4×C1111yescharacteristic
612C2×D4C2×D4×C1111yescharacteristic
613C2×D4C2×D4×C1112yes—
614C22×C4—22no—
615C22×C4—22no—
616C22×C4—21no—
617C22×C4—21no—
618C22×C4—21no—
619C22×C4—22no—
620C22×C4—41no—
621C22×C4C2×D4×C1111yescharacteristic
622C22×C4C2×D4×C1111yescharacteristic
623C22×C4C2×D4×C1111yescharacteristic
624SD16—81no—
625SD16—82no—
626D8—81no—
627D8—81no—
628D8—81no—
629D8—82no—
630M16—81no—
631C2×C8—21no—
632C2×C8—21no—
633C2×C8—21no—
634C2×C8—21no—
635C2×C8—21no—
636C2×C8—21no—
637C2×C8—81no—
638C4⋊C4—22no—
639C4⋊C4—22no—
640C4⋊C4—21no—
641C4⋊C4—21no—
642C4⋊C4—21no—
643C4⋊C4—21no—
644C4⋊C4—21no—
645C4⋊C4—21no—
646C4⋊C4—21no—
647C4⋊C4—21no—
648C4⋊C4C2×D4×C1112yes—
649C4⋊C4C2×D4×C1111yescharacteristic
650C4⋊C4C2×D4×C1111yescharacteristic
651C4⋊C4C2×D4×C1111yescharacteristic
652C4⋊C4C2×D4×C1111yescharacteristic
653C22⋊C4—22no—
654C22⋊C4—22no—
655C22⋊C4—22no—
656C22⋊C4—22no—
657C22⋊C4—22no—
658C22⋊C4—21no—
659C22⋊C4—21no—
660C22⋊C4—21no—
661C22⋊C4—21no—
662C22⋊C4—21no—
663C22⋊C4—21no—
664C22⋊C4—22no—
665C22⋊C4—22no—
666C22⋊C4—21no—
667C22⋊C4—21no—
668C22⋊C4—21no—
669C22⋊C4—41no—
670C22⋊C4—41no—
671C42—22no—
672C42—21no—
673C42C2×D4×C1111yescharacteristic
674C42C2×D4×C1111yescharacteristic
675C42C2×D4×C1111yescharacteristic
676C42C24×C1111yescharacteristic
677C11#1896211yescharacteristic, direct product factor, Sylow
678C23—21no—
679C23—21no—
680C23—22no—
681C23—21no—
682C23—41no—
683C23—82no—
684C23—82no—
685C23—82no—
686C23C11×#12011yescharacteristic
687Q8—21no—
688Q8—21no—
689Q8—42no—
690Q8—41no—
691Q8—41no—
692Q8—81no—
693D4—21no—
694D4—21no—
695D4—21no—
696D4—21no—
697D4—21no—
698D4—21no—
699D4—42no—
700D4—42no—
701D4—41no—
702D4—41no—
703D4—41no—
704D4—41no—
705D4—41no—
706D4—41no—
707D4—41no—
708D4—41no—
709D4—81no—
710D4—81no—
711D4—81no—
712D4—81no—
713D4—81no—
714D4—82no—
715D4—82no—
716D4—82no—
717D4—82no—
718D4—82no—
719D4—82no—
720D4—82no—
721C2×C4—21no—
722C2×C4—21no—
723C2×C4—21no—
724C2×C4—21no—
725C2×C4—21no—
726C2×C4—21no—
727C2×C4—21no—
728C2×C4—22no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—41no—
732C2×C4—41no—
733C2×C4—41no—
734C2×C4—41no—
735C2×C4—41no—
736C2×C4—41no—
737C2×C4—41no—
738C2×C4—41no—
739C2×C4—82no—
740C2×C4—82no—
741C2×C4—82no—
742C2×C4—82no—
743C2×C4C11×#12011yescharacteristic
744C2×C4C11×#12011yescharacteristic
745C2×C4C11×#12011yescharacteristic
746C2×C4C22×D4×C1111yescharacteristic
747C2×C4C22×D4×C1111yescharacteristic
748C2×C4C22×D4×C1111yescharacteristic
749C8—41no—
750C8—41no—
751C8—41no—
752C8—41no—
753C8—41no—
754C8—41no—
755C22—21no—
756C22—21no—
757C22—21no—
758C22—41no—
759C22—41no—
760C22—41no—
761C22—41no—
762C22—42no—
763C22—42no—
764C22—41no—
765C22—41no—
766C22—42no—
767C22—41no—
768C22—41no—
769C22—41no—
770C22—81no—
771C22—81no—
772C22—81no—
773C22—164no—
774C22C2×C11×#12011yescharacteristic
775C4—21no—
776C4—21no—
777C4—21no—
778C4—21no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—42no—
784C4—41no—
785C4—81no—
786C4C11×#57611yescharacteristic
787C4C11×#57611yescharacteristic
788C4C11×#57711yescharacteristic
789C4C11×#57711yescharacteristic
790C2—41no—
791C2—81no—
792C2—81no—
793C2—82no—
794C2—81no—
795C2—161no—
796C2C11×#301211yescharacteristic
797C2C11×#301211yescharacteristic
798C2C11×#302111yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
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
1. C11×#3546C2semidirect
2. C11×#3253C2semidirect
3. C11×#3247C2semidirect
4. C11×#3207C2semidirect
5. C11×#1638C2semidirect
6. C11×#1635C2semidirect
7. C11×#1631C2semidirect
8. C11×#1629C2semidirect
9. C11×#1628C2semidirect
10. C11×#1625C2semidirect
11. C11×#1621C2semidirect
12. C11×#1619C2semidirect
13. C11×#1547C2semidirect
14. C11×#1495C2semidirect
15. C11×#1480C2semidirect
32. C11×#532C22semidirect
36. C11×#487C22semidirect
37. C11×#486C22semidirect
39. C11×#477C22semidirect
43. C11×#476C22semidirect
50. C11×#460C22semidirect
54. C11×#459C22semidirect
56. C11×#431C22semidirect
57. C11×#423C22semidirect
58. C2×C11×C4⋊C8C22semidirect
59. C11×#332C22semidirect
60. C11×#332C22semidirect
63. C11×Q8⋊C8C22semidirect
64. C11×Q8⋊C8C22semidirect
69. C11×D4⋊C8C22semidirect
70. C11×D4⋊C8C22semidirect
176. #18962C11direct (N × H)
279. #3546C2×C11semidirect
280. #3253C2×C11semidirect
281. #3247C2×C11semidirect
282. #3207C2×C11semidirect
283. #1638C2×C11semidirect
284. #1635C2×C11semidirect
285. #1631C2×C11semidirect
286. #1629C2×C11semidirect
287. #1628C2×C11semidirect
288. #1625C2×C11semidirect
289. #1621C2×C11semidirect
290. #1619C2×C11semidirect
291. #1547C2×C11semidirect
292. #1495C2×C11semidirect
293. #1480C2×C11semidirect
387. #532C22×C11semidirect
391. #487C22×C11semidirect
392. #486C22×C11semidirect
394. #477C22×C11semidirect
398. #476C22×C11semidirect
405. #460C22×C11semidirect
409. #459C22×C11semidirect
411. #431C22×C11semidirect
412. #423C22×C11semidirect
413. C2×C4⋊C8C22×C11semidirect
414. #332C22×C11semidirect
415. #332C22×C11semidirect
418. Q8⋊C8C22×C11semidirect
419. Q8⋊C8C22×C11semidirect
424. D4⋊C8C22×C11semidirect
425. D4⋊C8C22×C11semidirect
677. C11#18962direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35462
C11×#32532
C11×#32472
C11×#32072
C11×#16382
C11×#16352
C11×#16312
C11×#16292
C11×#16282
C11×#16252
C11×#16212
C11×#16192
C11×#15472
C11×#14952
C11×#14802
#1896211