Finite Group Databasebeta

← C11×#19013 #14596206

Subgroups — C11×#19013 #14596206

Order 2816.

810 conjugacy classes of subgroups.

The subgroup lattice has 796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3531C211yesmaximal, characteristic
2C11×#3240C211yesmaximal, characteristic, complemented
3C11×#3237C211yesmaximal, characteristic, complemented
4C11×#3181C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1664C211yesmaximal, characteristic, complemented
7C11×#1664C211yesmaximal, characteristic, complemented
8C11×#1663C211yesmaximal, characteristic, complemented
9C11×#1663C211yesmaximal, characteristic, complemented
10C11×#1662C211yesmaximal, characteristic, complemented
11C11×#1661C211yesmaximal, characteristic, complemented
12C11×#1660C211yesmaximal, characteristic, complemented
13C11×#1535C211yesmaximal, characteristic, complemented
14C11×#1532C211yesmaximal, characteristic, complemented
15C11×#1531C211yesmaximal, characteristic, complemented
16C11×#564C2211yescharacteristic
17C11×#563—21no—
18C11×#563—21no—
19C11×#563—21no—
20C11×#563—21no—
21C11×#563C2211yescharacteristic
22C11×#563C2211yescharacteristic
23C11×#562—21no—
24C11×#562—21no—
25C11×#562C2211yescharacteristic
26C11×#533—21no—
27C11×#533—21no—
28C11×#533C2211yescharacteristic
29C11×#533C2211yescharacteristic
30C11×#529—21no—
31C11×#529—21no—
32C11×#529—21no—
33C11×#529—21no—
34C11×#529C2211yescharacteristic
35C11×#529C2211yescharacteristic
36C11×#501C2211yescharacteristic
37C11×#501C2211yescharacteristic
38C11×#501C2211yescharacteristic
39C11×#501C2211yescharacteristic
40C11×#501C2211yescharacteristic
41C11×#497C2211yescharacteristic
42C11×#491C2211yescharacteristic
43C11×#491C2211yescharacteristic
44C11×#491C2211yescharacteristic
45C11×#489C2211yescharacteristic
46C11×#489C2211yescharacteristic
47C11×#489C2211yescharacteristic
48C11×#485—21no—
49C11×#485—21no—
50C11×#485—21no—
51C11×#482—21no—
52C11×#479—21no—
53C11×#478—21no—
54C11×#477—21no—
55C11×#475—21no—
56C11×#467—21no—
57C11×#465—21no—
58C11×#441—21no—
59C11×#440—21no—
60C11×#432C2211yescharacteristic
61C11×#432C2211yescharacteristic
62C2×C11×#97C2211yescharacteristic
63C11×#330C2211yescharacteristic
64C11×#330C2211yescharacteristic
65C11×#330C2211yescharacteristic
66C11×#330C2211yescharacteristic
67C11×#330C2211yescharacteristic
68C11×#330C2211yescharacteristic
69C11×#330C2211yescharacteristic
70C11×#330C2211yescharacteristic
71C11×#329C2211yescharacteristic
72C11×#329C2211yescharacteristic
73C11×#329C2211yescharacteristic
74C11×#329C2211yescharacteristic
75C2×C11×Q16—21no—
76C2×C11×SD16—21no—
77C22×C8×C11—21no—
78C11×C4⋊Q8—21no—
79C11×C4⋊Q8—21no—
80C11×C4⋊Q8—21no—
81C11×C4⋊Q8—21no—
82C11×C4⋊Q8D411yescharacteristic
83C11×C4⋊Q8D411yescharacteristic
84C11×C4⋊Q8C2311yescharacteristic
85C11×C4⋊Q8C2311yescharacteristic
86C11×#126—21no—
87C11×#126—21no—
88C11×#126—21no—
89C11×#126—21no—
90C11×#126—21no—
91C11×#126—21no—
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#125—21no—
97C11×#125—21no—
98C11×#125—21no—
99C11×#125—21no—
100C11×#125—21no—
101C11×#125—21no—
102C11×#125—21no—
103C11×#125—21no—
104C11×#125—21no—
105C11×#125C2311yescharacteristic
106C11×#125C2311yescharacteristic
107C11×#125C2311yescharacteristic
108C11×#125C2311yescharacteristic
109C11×#124—21no—
110C11×#124—21no—
111C11×#124—21no—
112C11×#124—21no—
113C11×#124C2311yescharacteristic
114C11×#124C2311yescharacteristic
115C11×#123—21no—
116C11×#123—21no—
117C11×#123—21no—
118C11×#123—21no—
119C11×#123—21no—
120C11×#123—21no—
121C11×#123—21no—
122C11×#123—21no—
123C11×#123—21no—
124C11×#123—21no—
125C11×C22⋊Q8—21no—
126C11×C22⋊Q8—21no—
127C11×C22⋊Q8—21no—
128C11×C22⋊Q8—21no—
129C11×C22⋊Q8—21no—
130C11×C22⋊Q8—21no—
131C11×C22⋊Q8—21no—
132C11×C22⋊Q8—21no—
133C11×C22⋊Q8—21no—
134C11×C22⋊Q8—21no—
135C11×C22⋊Q8—21no—
136C11×C22⋊Q8—21no—
137C11×C22⋊Q8—21no—
138C11×C22⋊Q8—21no—
139C11×C22⋊Q8—21no—
140C11×C22⋊Q8—21no—
141C11×C22⋊Q8D411yescharacteristic
142C11×C22⋊Q8D411yescharacteristic
143C11×#121—21no—
144C11×#121—21no—
145C11×#121—21no—
146C11×#121—21no—
147C11×#121D411yescharacteristic
148C11×#121D411yescharacteristic
149C4×Q8×C11—21no—
150C4×Q8×C11—21no—
151C4×Q8×C11—21no—
152C4×Q8×C11—21no—
153C4×Q8×C11—21no—
154C4×Q8×C11—21no—
155C4×Q8×C11D411yescharacteristic
156C4×Q8×C11D411yescharacteristic
157C4×D4×C11—21no—
158C4×D4×C11—21no—
159C4×D4×C11—21no—
160C4×D4×C11—21no—
161C4×D4×C11D411yescharacteristic
162C4×D4×C11D411yescharacteristic
163C11×#117—21no—
164C11×#117—21no—
165C11×#117—21no—
166C11×#117—21no—
167C11×#117—21no—
168C11×#117D411yescharacteristic
169C11×#117D411yescharacteristic
170C2×C42×C11—21no—
171C2×C42×C11—21no—
172C2×C42×C11C2311yescharacteristic
173C11×#107—21no—
174C11×#107—21no—
175C11×#107—21no—
176C11×#107—21no—
177C11×#107—21no—
178C11×#106—21no—
179C11×#106—21no—
180C11×#106—21no—
181C11×#106—21no—
182C11×#106—21no—
183C11×C4⋊C8—21no—
184C11×C4⋊C8—21no—
185C11×#103—21no—
186C11×#103—21no—
187C11×#103—21no—
188C11×#103—21no—
189C11×#103—21no—
190C11×#103—21no—
191C11×#103—21no—
192C11×#103—21no—
193C11×#103—21no—
194C11×#102—21no—
195C11×#102—21no—
196C11×#102—21no—
197C11×C22⋊C8—21no—
198C11×C22⋊C8—21no—
199C11×#97—21no—
200C11×#97C2311yescharacteristic
201C11×#97C2311yescharacteristic
202C11×#97C2311yescharacteristic
203C11×#97C2311yescharacteristic
204C11×#97C2311yescharacteristic
205C11×#97C2311yescharacteristic
206#19013C1111yesmaximal, characteristic, direct product factor, Sylow
207C2×Q8×C11—21no—
208C2×Q8×C11—21no—
209C2×Q8×C11—21no—
210C2×Q8×C11—21no—
211C2×Q8×C11—21no—
212C2×Q8×C11—21no—
213C2×Q8×C11C2×D411yescharacteristic
214C2×Q8×C11C2×D411yescharacteristic
215C2×D4×C11—21no—
216C2×D4×C11—21no—
217C2×D4×C11—21no—
218C2×D4×C11—21no—
219C2×D4×C11C2×D411yescharacteristic
220C2×D4×C11C2×D411yescharacteristic
221C22×C4×C11—21no—
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11—21no—
225C22×C4×C11—21no—
226C22×C4×C11—21no—
227C22×C4×C11C2×D411yescharacteristic
228C22×C4×C11C2×D411yescharacteristic
229C22×C4×C11C2×D411yescharacteristic
230C11×Q16—42no—
231C11×SD16—42no—
232C2×C8×C11—21no—
233C2×C8×C11—21no—
234C2×C8×C11—21no—
235C2×C8×C11—21no—
236C2×C8×C11—21no—
237C2×C8×C11—21no—
238C2×C8×C11—42no—
239C11×C4⋊C4—21no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—21no—
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⋊C4—21no—
251C11×C4⋊C4—21no—
252C11×C4⋊C4—21no—
253C11×C4⋊C4—21no—
254C11×C4⋊C4—21no—
255C11×C4⋊C4—21no—
256C11×C4⋊C4—21no—
257C11×C4⋊C4—21no—
258C11×C4⋊C4—21no—
259C11×C4⋊C4—21no—
260C11×C4⋊C4—21no—
261C11×C4⋊C4—21no—
262C11×C4⋊C4—21no—
263C11×C4⋊C4—21no—
264C11×C4⋊C4—21no—
265C11×C4⋊C4—21no—
266C11×C4⋊C4—21no—
267C11×C4⋊C4—21no—
268C11×C4⋊C4—21no—
269C11×C4⋊C4—41no—
270C11×C4⋊C4—41no—
271C11×C4⋊C4C2×D411yescharacteristic
272C11×C4⋊C4C2×D411yescharacteristic
273C11×C4⋊C4C2×D411yescharacteristic
274C11×C4⋊C4C2×D411yescharacteristic
275C11×C4⋊C4C2×D411yescharacteristic
276C11×C4⋊C4C2×D411yescharacteristic
277C11×C4⋊C4C2×D411yescharacteristic
278C11×C4⋊C4C2×D411yescharacteristic
279C11×C22⋊C4—21no—
280C11×C22⋊C4—21no—
281C11×C22⋊C4—21no—
282C11×C22⋊C4—21no—
283C11×C22⋊C4—21no—
284C11×C22⋊C4—21no—
285C11×C22⋊C4—21no—
286C11×C22⋊C4—21no—
287C11×C22⋊C4—21no—
288C11×C22⋊C4—21no—
289C11×C22⋊C4—21no—
290C11×C22⋊C4—21no—
291C11×C22⋊C4—21no—
292C11×C22⋊C4—21no—
293C11×C22⋊C4—21no—
294C11×C22⋊C4—21no—
295C11×C22⋊C4—21no—
296C11×C22⋊C4—21no—
297C11×C22⋊C4—21no—
298C11×C22⋊C4—21no—
299C11×C22⋊C4—41no—
300C42×C11—21no—
301C42×C11—21no—
302C42×C11—21no—
303C42×C11—21no—
304C42×C11—21no—
305C42×C11—21no—
306C42×C11—21no—
307C42×C11—21no—
308C42×C11—41no—
309C42×C11C2×D411yescharacteristic
310C42×C11C2×D411yescharacteristic
311C42×C11C2×D411yescharacteristic
312C42×C11C2411yescharacteristic
313#3531C2×C1111yescharacteristic
314#3240C2×C1111yescharacteristic, complemented
315#3237C2×C1111yescharacteristic, complemented
316#3181C2×C1111yescharacteristic, complemented
317#1664C2×C1111yescharacteristic, complemented
318#1664C2×C1111yescharacteristic, complemented
319#1664C2×C1111yescharacteristic, complemented
320#1663C2×C1111yescharacteristic, complemented
321#1663C2×C1111yescharacteristic, complemented
322#1662C2×C1111yescharacteristic, complemented
323#1661C2×C1111yescharacteristic, complemented
324#1660C2×C1111yescharacteristic, complemented
325#1535C2×C1111yescharacteristic, complemented
326#1532C2×C1111yescharacteristic, complemented
327#1531C2×C1111yescharacteristic, complemented
328C23×C11—21no—
329C23×C11—21no—
330C23×C11#12011yescharacteristic
331Q8×C11—41no—
332Q8×C11—41no—
333Q8×C11—41no—
334Q8×C11—41no—
335Q8×C11—42no—
336Q8×C11—81no—
337Q8×C11—81no—
338Q8×C11—81no—
339Q8×C11—81no—
340D4×C11—41no—
341D4×C11—41no—
342D4×C11—81no—
343D4×C11—81no—
344D4×C11—81no—
345D4×C11—81no—
346C2×C4×C11—21no—
347C2×C4×C11—21no—
348C2×C4×C11—21no—
349C2×C4×C11—21no—
350C2×C4×C11—21no—
351C2×C4×C11—21no—
352C2×C4×C11—21no—
353C2×C4×C11—21no—
354C2×C4×C11—21no—
355C2×C4×C11—21no—
356C2×C4×C11—41no—
357C2×C4×C11—41no—
358C2×C4×C11—41no—
359C2×C4×C11—42no—
360C2×C4×C11—42no—
361C2×C4×C11—41no—
362C2×C4×C11—41no—
363C2×C4×C11—81no—
364C2×C4×C11—81no—
365C2×C4×C11—81no—
366C2×C4×C11—81no—
367C2×C4×C11#12011yescharacteristic
368C2×C4×C11#12011yescharacteristic
369C2×C4×C11#12011yescharacteristic
370C2×C4×C11C22×D411yescharacteristic
371C2×C4×C11C22×D411yescharacteristic
372C2×C4×C11C22×D411yescharacteristic
373C8×C11—22no—
374C8×C11—41no—
375C8×C11—41no—
376C8×C11—41no—
377C8×C11—41no—
378C8×C11—41no—
379#564C22×C1111yescharacteristic
380#563—21no—
381#563—21no—
382#563—21no—
383#563—21no—
384#563C22×C1111yescharacteristic
385#563C22×C1111yescharacteristic
386#562—21no—
387#562—21no—
388#562C22×C1111yescharacteristic
389#533—21no—
390#533—21no—
391#533C22×C1111yescharacteristic
392#533C22×C1111yescharacteristic
393#529—21no—
394#529—21no—
395#529—21no—
396#529—21no—
397#529C22×C1111yescharacteristic
398#529C22×C1111yescharacteristic
399#501C22×C1111yescharacteristic
400#501C22×C1111yescharacteristic
401#501C22×C1111yescharacteristic
402#501C22×C1111yescharacteristic
403#501C22×C1111yescharacteristic
404#497C22×C1111yescharacteristic
405#491C22×C1111yescharacteristic
406#491C22×C1111yescharacteristic
407#491C22×C1111yescharacteristic
408#489C22×C1111yescharacteristic
409#489C22×C1111yescharacteristic
410#489C22×C1111yescharacteristic
411#485—21no—
412#485—21no—
413#485—21no—
414#482—21no—
415#479—21no—
416#478—21no—
417#477—21no—
418#475—21no—
419#467—21no—
420#465—21no—
421#441—21no—
422#440—21no—
423#432C22×C1111yescharacteristic
424#432C22×C1111yescharacteristic
425C2×#97C22×C1111yescharacteristic
426#330C22×C1111yescharacteristic
427#330C22×C1111yescharacteristic
428#330C22×C1111yescharacteristic
429#330C22×C1111yescharacteristic
430#330C22×C1111yescharacteristic
431#330C22×C1111yescharacteristic
432#330C22×C1111yescharacteristic
433#330C22×C1111yescharacteristic
434#329C22×C1111yescharacteristic
435#329C22×C1111yescharacteristic
436#329C22×C1111yescharacteristic
437#329C22×C1111yescharacteristic
438C22×C11—21no—
439C22×C11—21no—
440C22×C11—21no—
441C22×C11—41no—
442C22×C11—41no—
443C22×C11—41no—
444C22×C11—41no—
445C22×C11—41no—
446C22×C11—41no—
447C22×C11C2×#12011yescharacteristic
448C4×C11—21no—
449C4×C11—21no—
450C4×C11—21no—
451C4×C11—21no—
452C4×C11—21no—
453C4×C11—21no—
454C4×C11—41no—
455C4×C11—41no—
456C4×C11—41no—
457C4×C11—41no—
458C4×C11—41no—
459C4×C11—41no—
460C4×C11—41no—
461C4×C11—41no—
462C4×C11—41no—
463C4×C11—41no—
464C4×C11—81no—
465C4×C11—81no—
466C2×Q16—21no—
467C2×SD16—21no—
468C22×C8—21no—
469C4⋊Q8—21no—
470C4⋊Q8—21no—
471C4⋊Q8—21no—
472C4⋊Q8—21no—
473C4⋊Q8D4×C1111yescharacteristic
474C4⋊Q8D4×C1111yescharacteristic
475C4⋊Q8C23×C1111yescharacteristic
476C4⋊Q8C23×C1111yescharacteristic
477#126—21no—
478#126—21no—
479#126—21no—
480#126—21no—
481#126—21no—
482#126—21no—
483#126—21no—
484#126—21no—
485#126—21no—
486#126—21no—
487#125—21no—
488#125—21no—
489#125—21no—
490#125—21no—
491#125—21no—
492#125—21no—
493#125—21no—
494#125—21no—
495#125—21no—
496#125C23×C1111yescharacteristic
497#125C23×C1111yescharacteristic
498#125C23×C1111yescharacteristic
499#125C23×C1111yescharacteristic
500#124—21no—
501#124—21no—
502#124—21no—
503#124—21no—
504#124C23×C1111yescharacteristic
505#124C23×C1111yescharacteristic
506#123—21no—
507#123—21no—
508#123—21no—
509#123—21no—
510#123—21no—
511#123—21no—
512#123—21no—
513#123—21no—
514#123—21no—
515#123—21no—
516C22⋊Q8—21no—
517C22⋊Q8—21no—
518C22⋊Q8—21no—
519C22⋊Q8—21no—
520C22⋊Q8—21no—
521C22⋊Q8—21no—
522C22⋊Q8—21no—
523C22⋊Q8—21no—
524C22⋊Q8—21no—
525C22⋊Q8—21no—
526C22⋊Q8—21no—
527C22⋊Q8—21no—
528C22⋊Q8—21no—
529C22⋊Q8—21no—
530C22⋊Q8—21no—
531C22⋊Q8—21no—
532C22⋊Q8D4×C1111yescharacteristic
533C22⋊Q8D4×C1111yescharacteristic
534#121—21no—
535#121—21no—
536#121—21no—
537#121—21no—
538#121D4×C1111yescharacteristic
539#121D4×C1111yescharacteristic
540C4×Q8—21no—
541C4×Q8—21no—
542C4×Q8—21no—
543C4×Q8—21no—
544C4×Q8—21no—
545C4×Q8—21no—
546C4×Q8D4×C1111yescharacteristic
547C4×Q8D4×C1111yescharacteristic
548C4×D4—21no—
549C4×D4—21no—
550C4×D4—21no—
551C4×D4—21no—
552C4×D4D4×C1111yescharacteristic
553C4×D4D4×C1111yescharacteristic
554#117—21no—
555#117—21no—
556#117—21no—
557#117—21no—
558#117—21no—
559#117D4×C1111yescharacteristic
560#117D4×C1111yescharacteristic
561C2×C42—21no—
562C2×C42—21no—
563C2×C42C23×C1111yescharacteristic
564#107—21no—
565#107—21no—
566#107—21no—
567#107—21no—
568#107—21no—
569#106—21no—
570#106—21no—
571#106—21no—
572#106—21no—
573#106—21no—
574C4⋊C8—21no—
575C4⋊C8—21no—
576#103—21no—
577#103—21no—
578#103—21no—
579#103—21no—
580#103—21no—
581#103—21no—
582#103—21no—
583#103—21no—
584#103—21no—
585#102—21no—
586#102—21no—
587#102—21no—
588C22⋊C8—21no—
589C22⋊C8—21no—
590#97—21no—
591#97C23×C1111yescharacteristic
592#97C23×C1111yescharacteristic
593#97C23×C1111yescharacteristic
594#97C23×C1111yescharacteristic
595#97C23×C1111yescharacteristic
596#97C23×C1111yescharacteristic
597C2×C11—41no—
598C2×C11—81no—
599C2×C11—81no—
600C2×C11#301811yescharacteristic
601C2×C11#302011yescharacteristic
602C2×C11#302211yescharacteristic
603C2×Q8—21no—
604C2×Q8—21no—
605C2×Q8—21no—
606C2×Q8—21no—
607C2×Q8—21no—
608C2×Q8—21no—
609C2×Q8C2×D4×C1111yescharacteristic
610C2×Q8C2×D4×C1111yescharacteristic
611C2×D4—21no—
612C2×D4—21no—
613C2×D4—21no—
614C2×D4—21no—
615C2×D4C2×D4×C1111yescharacteristic
616C2×D4C2×D4×C1111yescharacteristic
617C22×C4—21no—
618C22×C4—21no—
619C22×C4—21no—
620C22×C4—21no—
621C22×C4—21no—
622C22×C4—21no—
623C22×C4C2×D4×C1111yescharacteristic
624C22×C4C2×D4×C1111yescharacteristic
625C22×C4C2×D4×C1111yescharacteristic
626Q16—42no—
627SD16—42no—
628C2×C8—21no—
629C2×C8—21no—
630C2×C8—21no—
631C2×C8—21no—
632C2×C8—21no—
633C2×C8—21no—
634C2×C8—42no—
635C4⋊C4—21no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—21no—
639C4⋊C4—21no—
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⋊C4—21no—
649C4⋊C4—21no—
650C4⋊C4—21no—
651C4⋊C4—21no—
652C4⋊C4—21no—
653C4⋊C4—21no—
654C4⋊C4—21no—
655C4⋊C4—21no—
656C4⋊C4—21no—
657C4⋊C4—21no—
658C4⋊C4—21no—
659C4⋊C4—21no—
660C4⋊C4—21no—
661C4⋊C4—21no—
662C4⋊C4—21no—
663C4⋊C4—21no—
664C4⋊C4—21no—
665C4⋊C4—41no—
666C4⋊C4—41no—
667C4⋊C4C2×D4×C1111yescharacteristic
668C4⋊C4C2×D4×C1111yescharacteristic
669C4⋊C4C2×D4×C1111yescharacteristic
670C4⋊C4C2×D4×C1111yescharacteristic
671C4⋊C4C2×D4×C1111yescharacteristic
672C4⋊C4C2×D4×C1111yescharacteristic
673C4⋊C4C2×D4×C1111yescharacteristic
674C4⋊C4C2×D4×C1111yescharacteristic
675C22⋊C4—21no—
676C22⋊C4—21no—
677C22⋊C4—21no—
678C22⋊C4—21no—
679C22⋊C4—21no—
680C22⋊C4—21no—
681C22⋊C4—21no—
682C22⋊C4—21no—
683C22⋊C4—21no—
684C22⋊C4—21no—
685C22⋊C4—21no—
686C22⋊C4—21no—
687C22⋊C4—21no—
688C22⋊C4—21no—
689C22⋊C4—21no—
690C22⋊C4—21no—
691C22⋊C4—21no—
692C22⋊C4—21no—
693C22⋊C4—21no—
694C22⋊C4—21no—
695C22⋊C4—41no—
696C42—21no—
697C42—21no—
698C42—21no—
699C42—21no—
700C42—21no—
701C42—21no—
702C42—21no—
703C42—21no—
704C42—41no—
705C42C2×D4×C1111yescharacteristic
706C42C2×D4×C1111yescharacteristic
707C42C2×D4×C1111yescharacteristic
708C42C24×C1111yescharacteristic
709C11#1901311yescharacteristic, direct product factor, Sylow
710C23—21no—
711C23—21no—
712C23C11×#12011yescharacteristic
713Q8—41no—
714Q8—41no—
715Q8—41no—
716Q8—41no—
717Q8—42no—
718Q8—81no—
719Q8—81no—
720Q8—81no—
721Q8—81no—
722D4—41no—
723D4—41no—
724D4—81no—
725D4—81no—
726D4—81no—
727D4—81no—
728C2×C4—21no—
729C2×C4—21no—
730C2×C4—21no—
731C2×C4—21no—
732C2×C4—21no—
733C2×C4—21no—
734C2×C4—21no—
735C2×C4—21no—
736C2×C4—21no—
737C2×C4—21no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—41no—
741C2×C4—42no—
742C2×C4—42no—
743C2×C4—41no—
744C2×C4—41no—
745C2×C4—81no—
746C2×C4—81no—
747C2×C4—81no—
748C2×C4—81no—
749C2×C4C11×#12011yescharacteristic
750C2×C4C11×#12011yescharacteristic
751C2×C4C11×#12011yescharacteristic
752C2×C4C22×D4×C1111yescharacteristic
753C2×C4C22×D4×C1111yescharacteristic
754C2×C4C22×D4×C1111yescharacteristic
755C8—22no—
756C8—41no—
757C8—41no—
758C8—41no—
759C8—41no—
760C8—41no—
761C22—21no—
762C22—21no—
763C22—21no—
764C22—41no—
765C22—41no—
766C22—41no—
767C22—41no—
768C22—41no—
769C22—41no—
770C22C2×C11×#12011yescharacteristic
771C4—21no—
772C4—21no—
773C4—21no—
774C4—21no—
775C4—21no—
776C4—21no—
777C4—41no—
778C4—41no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—81no—
788C4—81no—
789C2—41no—
790C2—81no—
791C2—81no—
792C2C11×#301811yescharacteristic
793C2C11×#302011yescharacteristic
794C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3531C2
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×#3240C2semidirect
3. C11×#3237C2semidirect
4. C11×#3181C2semidirect
5. C11×#1664C2semidirect
6. C11×#1664C2semidirect
7. C11×#1664C2semidirect
8. C11×#1663C2semidirect
9. C11×#1663C2semidirect
10. C11×#1662C2semidirect
11. C11×#1661C2semidirect
12. C11×#1660C2semidirect
13. C11×#1535C2semidirect
14. C11×#1532C2semidirect
15. C11×#1531C2semidirect
206. #19013C11direct (N × H)
314. #3240C2×C11semidirect
315. #3237C2×C11semidirect
316. #3181C2×C11semidirect
317. #1664C2×C11semidirect
318. #1664C2×C11semidirect
319. #1664C2×C11semidirect
320. #1663C2×C11semidirect
321. #1663C2×C11semidirect
322. #1662C2×C11semidirect
323. #1661C2×C11semidirect
324. #1660C2×C11semidirect
325. #1535C2×C11semidirect
326. #1532C2×C11semidirect
327. #1531C2×C11semidirect
709. C11#19013direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35312
C11×#32402
C11×#32372
C11×#31812
C11×#16642
C11×#16632
C11×#16622
C11×#16612
C11×#16602
C11×#15352
C11×#15322
C11×#15312
#1901311