Finite Group Databasebeta

← C11×#19069 #14596262

Subgroups — C11×#19069 #14596262

Order 2816.

886 conjugacy classes of subgroups.

The subgroup lattice has 862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C11×#3545C211yesmaximal, characteristic
2C11×#3240C211yesmaximal, characteristic, complemented
3C11×#3215C211yesmaximal, characteristic, complemented
4C11×#3172C211yesmaximal, characteristic, complemented
5C11×#1664C211yesmaximal, characteristic, complemented
6C11×#1662C211yesmaximal, characteristic, complemented
7C11×#1661C211yesmaximal, characteristic, complemented
8C11×#1661C211yesmaximal, characteristic, complemented
9C11×#1661C211yesmaximal, characteristic, complemented
10C11×#1660C211yesmaximal, characteristic, complemented
11C11×#1659C211yesmaximal, characteristic, complemented
12C11×#1659C211yesmaximal, characteristic, complemented
13C11×#1535C211yesmaximal, characteristic, complemented
14C11×#1529C211yesmaximal, characteristic, complemented
15C11×#1527C211yesmaximal, characteristic, complemented
16C11×#563C2211yescharacteristic
17C11×#562C2211yescharacteristic
18C11×#562C2211yescharacteristic
19C11×H(3,𝔽4)C2211yescharacteristic
20C11×#555—21no—
21C11×#551—21no—
22C11×#551—21no—
23C11×#551—21no—
24C11×#546—21no—
25C11×#546—21no—
26C11×#542—21no—
27C11×#542—21no—
28C11×#538—21no—
29C11×#538—21no—
30C11×#536—21no—
31C11×#534—21no—
32C11×#533C2211yescharacteristic, complemented
33C11×#529C2211yescharacteristic
34C11×#529C2211yescharacteristic
35C2×C11×#124C2211yescharacteristic
36C11×#501C2211yescharacteristic, complemented
37C11×#501C2211yescharacteristic, complemented
38C11×#501C2211yescharacteristic, complemented
39C11×#497C2211yescharacteristic
40C11×#497C2211yescharacteristic, complemented
41C11×#497C2211yescharacteristic, complemented
42C11×#491C2211yescharacteristic, complemented
43C11×#489C2211yescharacteristic
44C11×#489C2211yescharacteristic, complemented
45C11×#489C2211yescharacteristic, complemented
46C11×#489C2211yescharacteristic, complemented
47C11×#489C2211yescharacteristic, complemented
48C11×#485—21no—
49C11×#482—21no—
50C11×#479—21no—
51C11×#478—21no—
52C11×#470—21no—
53C11×#468—21no—
54C11×#464—21no—
55C11×#464—21no—
56C11×#451—21no—
57C11×#450—21no—
58C4×C11×Q16—21no—
59C4×C11×SD16—21no—
60C11×#432C2211yescharacteristic, complemented
61C11×#432C2211yescharacteristic, complemented
62C4×C11×M16C2211yescharacteristic, complemented
63C11×#330C2211yescharacteristic, complemented
64C11×#330C2211yescharacteristic, complemented
65C11×#330C2211yescharacteristic, complemented
66C11×#330C2211yescharacteristic, complemented
67C11×#329C2211yescharacteristic
68C11×#329C2211yescharacteristic
69C11×#329C2211yescharacteristic, complemented
70C11×#329C2211yescharacteristic, complemented
71C11×#329C2211yescharacteristic, complemented
72C11×#329C2211yescharacteristic, complemented
73C11×#329C2211yescharacteristic, complemented
74C11×#329C2211yescharacteristic, complemented
75C2×C11×#41—21no—
76C22×Q8×C11D411yescharacteristic
77C22×D4×C11—21no—
78C22×D4×C11D411yescharacteristic
79C2×C11×Q16—21no—
80C2×C11×Q16—21no—
81C2×C11×Q16—21no—
82C2×C11×SD16—21no—
83C2×C11×SD16—21no—
84C2×C11×SD16—21no—
85C2×C11×M16—21no—
86C11×C4⋊Q8—21no—
87C11×C4⋊Q8—21no—
88C11×C4⋊Q8C2311yescharacteristic
89C11×C4⋊Q8C2311yescharacteristic
90C11×#126—21no—
91C11×#126—21no—
92C11×#126—21no—
93C11×#126—21no—
94C11×#126—21no—
95C11×#126—21no—
96C11×#125—21no—
97C11×#125C2311yescharacteristic
98C11×#125C2311yescharacteristic
99C11×#124—21no—
100C11×#124—21no—
101C11×#124—21no—
102C11×#124—21no—
103C11×#124—21no—
104C11×#124—21no—
105C11×#124—21no—
106C11×#124—21no—
107C11×#124D411yescharacteristic
108C11×#124D411yescharacteristic
109C11×#124C2311yescharacteristic
110C11×#124C2311yescharacteristic
111C11×#124C2311yescharacteristic
112C11×#124C2311yescharacteristic
113C11×#123—21no—
114C11×#123—21no—
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⋊Q8D411yescharacteristic
136C11×C22⋊Q8D411yescharacteristic
137C11×#121—21no—
138C11×#121—21no—
139C11×#121—21no—
140C11×#121—21no—
141C11×#121—21no—
142C11×#121—21no—
143C11×#121—21no—
144C11×#121—21no—
145C11×#121D411yescharacteristic
146C11×#121D411yescharacteristic
147C11×#120—21no—
148C11×#120—21no—
149C11×#120—21no—
150C11×#120—21no—
151C11×#120—21no—
152C11×#120—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×C11—21no—
162C4×D4×C11—21no—
163C4×D4×C11D411yescharacteristic
164C4×D4×C11D411yescharacteristic
165C11×#117—21no—
166C11×#117—21no—
167C11×#117—21no—
168C11×#117—21no—
169C11×#117—21no—
170C11×#117—21no—
171C2×C11×C22⋊C4—21no—
172C2×C11×C22⋊C4—21no—
173C2×C11×C22⋊C4—21no—
174C2×C11×C22⋊C4—21no—
175C2×C11×C22⋊C4—21no—
176C2×C42×C11C2311yescharacteristic
177C11×#107—21no—
178C11×#107—21no—
179C11×#107—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×#102—21no—
193C11×#102—21no—
194C11×#102—21no—
195C11×#102—21no—
196C11×#102—21no—
197C11×C22⋊C8—21no—
198C11×C22⋊C8—21no—
199C11×#97C2311yescharacteristic
200C11×#97C2311yescharacteristic
201C11×#97C2311yescharacteristic
202C11×#97C2311yescharacteristic
203C11×#97C2311yescharacteristic
204C11×#97C2311yescharacteristic
205C4×C8×C11—21no—
206#19069C1111yesmaximal, characteristic, direct product factor, Sylow
207C24×C11—21no—
208C24×C11—21no—
209C11×#41—82no—
210C2×Q8×C11—21no—
211C2×Q8×C11—21no—
212C2×Q8×C11—21no—
213C2×Q8×C11—21no—
214C2×Q8×C11—81no—
215C2×Q8×C11C2×D411yescharacteristic
216C2×Q8×C11C2×D411yescharacteristic
217C2×Q8×C11C2×D411yescharacteristic
218C2×Q8×C11C2×D411yescharacteristic
219C2×D4×C11—21no—
220C2×D4×C11—21no—
221C2×D4×C11—21no—
222C2×D4×C11—21no—
223C2×D4×C11—21no—
224C2×D4×C11—21no—
225C2×D4×C11—21no—
226C2×D4×C11—21no—
227C2×D4×C11—21no—
228C2×D4×C11—21no—
229C2×D4×C11—81no—
230C2×D4×C11—82no—
231C2×D4×C11C2×D411yescharacteristic
232C2×D4×C11C2×D411yescharacteristic
233C2×D4×C11C2×D411yescharacteristic
234C2×D4×C11C2×D411yescharacteristic
235C22×C4×C11—21no—
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11C2×D411yescharacteristic
244C22×C4×C11C2×D411yescharacteristic
245C22×C4×C11C2×D411yescharacteristic
246C11×Q16—42no—
247C11×Q16—81no—
248C11×Q16—81no—
249C11×SD16—42no—
250C11×SD16—81no—
251C11×SD16—81no—
252C11×M16—42no—
253C2×C8×C11—21no—
254C2×C8×C11—21no—
255C2×C8×C11—21no—
256C2×C8×C11—21no—
257C2×C8×C11—21no—
258C2×C8×C11—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—21no—
270C11×C4⋊C4—21no—
271C11×C4⋊C4—21no—
272C11×C4⋊C4—21no—
273C11×C4⋊C4—21no—
274C11×C4⋊C4—21no—
275C11×C4⋊C4—21no—
276C11×C4⋊C4—21no—
277C11×C4⋊C4—41no—
278C11×C4⋊C4—41no—
279C11×C4⋊C4C2×D411yescharacteristic
280C11×C4⋊C4C2×D411yescharacteristic
281C11×C4⋊C4C2×D411yescharacteristic
282C11×C4⋊C4C2×D411yescharacteristic
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—21no—
300C11×C22⋊C4—21no—
301C11×C22⋊C4—21no—
302C11×C22⋊C4—21no—
303C11×C22⋊C4—21no—
304C11×C22⋊C4—21no—
305C11×C22⋊C4—21no—
306C11×C22⋊C4—21no—
307C11×C22⋊C4—21no—
308C11×C22⋊C4—21no—
309C11×C22⋊C4—21no—
310C11×C22⋊C4—21no—
311C11×C22⋊C4—41no—
312C42×C11—21no—
313C42×C11—21no—
314C42×C11—21no—
315C42×C11—21no—
316C42×C11—41no—
317C42×C11C2×D411yescharacteristic
318C42×C11C2×D411yescharacteristic
319C42×C11C2×D411yescharacteristic
320C42×C11C2411yescharacteristic
321#3545C2×C1111yescharacteristic
322#3240C2×C1111yescharacteristic, complemented
323#3215C2×C1111yescharacteristic, complemented
324#3172C2×C1111yescharacteristic, complemented
325#1664C2×C1111yescharacteristic, complemented
326#1662C2×C1111yescharacteristic, complemented
327#1661C2×C1111yescharacteristic, complemented
328#1661C2×C1111yescharacteristic, complemented
329#1661C2×C1111yescharacteristic, complemented
330#1660C2×C1111yescharacteristic, complemented
331#1659C2×C1111yescharacteristic, complemented
332#1659C2×C1111yescharacteristic, complemented
333#1535C2×C1111yescharacteristic, complemented
334#1529C2×C1111yescharacteristic, complemented
335#1527C2×C1111yescharacteristic, complemented
336C23×C11—21no—
337C23×C11—21no—
338C23×C11—21no—
339C23×C11—21no—
340C23×C11—42no—
341C23×C11—81no—
342C23×C11—81no—
343C23×C11—81no—
344C23×C11—81no—
345C23×C11—81no—
346C23×C11#12011yescharacteristic
347Q8×C11—41no—
348Q8×C11—41no—
349Q8×C11—41no—
350Q8×C11—41no—
351Q8×C11—41no—
352Q8×C11—41no—
353Q8×C11—41no—
354Q8×C11—41no—
355Q8×C11—81no—
356Q8×C11—81no—
357D4×C11—41no—
358D4×C11—41no—
359D4×C11—41no—
360D4×C11—41no—
361D4×C11—42no—
362D4×C11—42no—
363D4×C11—81no—
364D4×C11—81no—
365D4×C11—81no—
366D4×C11—81no—
367D4×C11—81no—
368D4×C11—81no—
369D4×C11—81no—
370D4×C11—81no—
371C2×C4×C11—21no—
372C2×C4×C11—21no—
373C2×C4×C11—21no—
374C2×C4×C11—21no—
375C2×C4×C11—21no—
376C2×C4×C11—21no—
377C2×C4×C11—21no—
378C2×C4×C11—21no—
379C2×C4×C11—41no—
380C2×C4×C11—41no—
381C2×C4×C11—41no—
382C2×C4×C11—42no—
383C2×C4×C11—41no—
384C2×C4×C11—41no—
385C2×C4×C11—81no—
386C2×C4×C11—81no—
387C2×C4×C11—81no—
388C2×C4×C11—81no—
389C2×C4×C11—81no—
390C2×C4×C11—81no—
391C2×C4×C11—81no—
392C2×C4×C11#12011yescharacteristic
393C2×C4×C11#12011yescharacteristic
394C2×C4×C11#12011yescharacteristic
395C2×C4×C11C22×D411yescharacteristic
396C2×C4×C11C22×D411yescharacteristic
397C2×C4×C11C22×D411yescharacteristic
398C8×C11—22no—
399C8×C11—41no—
400C8×C11—41no—
401C8×C11—41no—
402C8×C11—41no—
403C8×C11—41no—
404#563C22×C1111yescharacteristic
405#562C22×C1111yescharacteristic
406#562C22×C1111yescharacteristic
407H(3,𝔽4)C22×C1111yescharacteristic
408#555—21no—
409#551—21no—
410#551—21no—
411#551—21no—
412#546—21no—
413#546—21no—
414#542—21no—
415#542—21no—
416#538—21no—
417#538—21no—
418#536—21no—
419#534—21no—
420#533C22×C1111yescharacteristic, complemented
421#529C22×C1111yescharacteristic
422#529C22×C1111yescharacteristic
423C2×#124C22×C1111yescharacteristic
424#501C22×C1111yescharacteristic, complemented
425#501C22×C1111yescharacteristic, complemented
426#501C22×C1111yescharacteristic, complemented
427#497C22×C1111yescharacteristic
428#497C22×C1111yescharacteristic, complemented
429#497C22×C1111yescharacteristic, complemented
430#491C22×C1111yescharacteristic, complemented
431#489C22×C1111yescharacteristic
432#489C22×C1111yescharacteristic, complemented
433#489C22×C1111yescharacteristic, complemented
434#489C22×C1111yescharacteristic, complemented
435#489C22×C1111yescharacteristic, complemented
436#485—21no—
437#482—21no—
438#479—21no—
439#478—21no—
440#470—21no—
441#468—21no—
442#464—21no—
443#464—21no—
444#451—21no—
445#450—21no—
446C4×Q16—21no—
447C4×SD16—21no—
448#432C22×C1111yescharacteristic, complemented
449#432C22×C1111yescharacteristic, complemented
450C4×M16C22×C1111yescharacteristic, complemented
451#330C22×C1111yescharacteristic, complemented
452#330C22×C1111yescharacteristic, complemented
453#330C22×C1111yescharacteristic, complemented
454#330C22×C1111yescharacteristic, complemented
455#329C22×C1111yescharacteristic
456#329C22×C1111yescharacteristic
457#329C22×C1111yescharacteristic, complemented
458#329C22×C1111yescharacteristic, complemented
459#329C22×C1111yescharacteristic, complemented
460#329C22×C1111yescharacteristic, complemented
461#329C22×C1111yescharacteristic, complemented
462#329C22×C1111yescharacteristic, complemented
463C22×C11—21no—
464C22×C11—21no—
465C22×C11—21no—
466C22×C11—41no—
467C22×C11—41no—
468C22×C11—41no—
469C22×C11—41no—
470C22×C11—41no—
471C22×C11—41no—
472C22×C11—41no—
473C22×C11—41no—
474C22×C11—41no—
475C22×C11—41no—
476C22×C11—41no—
477C22×C11—41no—
478C22×C11—162no—
479C22×C11—162no—
480C22×C11C2×#12011yescharacteristic
481C4×C11—21no—
482C4×C11—21no—
483C4×C11—21no—
484C4×C11—21no—
485C4×C11—21no—
486C4×C11—21no—
487C4×C11—41no—
488C4×C11—41no—
489C4×C11—41no—
490C4×C11—41no—
491C4×C11—41no—
492C4×C11—41no—
493C4×C11—41no—
494C4×C11—41no—
495C4×C11—81no—
496C4×C11—81no—
497C2×#41—21no—
498C22×Q8D4×C1111yescharacteristic
499C22×D4—21no—
500C22×D4D4×C1111yescharacteristic
501C2×Q16—21no—
502C2×Q16—21no—
503C2×Q16—21no—
504C2×SD16—21no—
505C2×SD16—21no—
506C2×SD16—21no—
507C2×M16—21no—
508C4⋊Q8—21no—
509C4⋊Q8—21no—
510C4⋊Q8C23×C1111yescharacteristic
511C4⋊Q8C23×C1111yescharacteristic
512#126—21no—
513#126—21no—
514#126—21no—
515#126—21no—
516#126—21no—
517#126—21no—
518#125—21no—
519#125C23×C1111yescharacteristic
520#125C23×C1111yescharacteristic
521#124—21no—
522#124—21no—
523#124—21no—
524#124—21no—
525#124—21no—
526#124—21no—
527#124—21no—
528#124—21no—
529#124D4×C1111yescharacteristic
530#124D4×C1111yescharacteristic
531#124C23×C1111yescharacteristic
532#124C23×C1111yescharacteristic
533#124C23×C1111yescharacteristic
534#124C23×C1111yescharacteristic
535#123—21no—
536#123—21no—
537#123—21no—
538#123—21no—
539#123—21no—
540#123—21no—
541#123—21no—
542#123—21no—
543#123—21no—
544#123—21no—
545#123—21no—
546#123—21no—
547C22⋊Q8—21no—
548C22⋊Q8—21no—
549C22⋊Q8—21no—
550C22⋊Q8—21no—
551C22⋊Q8—21no—
552C22⋊Q8—21no—
553C22⋊Q8—21no—
554C22⋊Q8—21no—
555C22⋊Q8—21no—
556C22⋊Q8—21no—
557C22⋊Q8D4×C1111yescharacteristic
558C22⋊Q8D4×C1111yescharacteristic
559#121—21no—
560#121—21no—
561#121—21no—
562#121—21no—
563#121—21no—
564#121—21no—
565#121—21no—
566#121—21no—
567#121D4×C1111yescharacteristic
568#121D4×C1111yescharacteristic
569#120—21no—
570#120—21no—
571#120—21no—
572#120—21no—
573#120—21no—
574#120—21no—
575C4×Q8—21no—
576C4×Q8—21no—
577C4×Q8D4×C1111yescharacteristic
578C4×Q8D4×C1111yescharacteristic
579C4×D4—21no—
580C4×D4—21no—
581C4×D4—21no—
582C4×D4—21no—
583C4×D4—21no—
584C4×D4—21no—
585C4×D4D4×C1111yescharacteristic
586C4×D4D4×C1111yescharacteristic
587#117—21no—
588#117—21no—
589#117—21no—
590#117—21no—
591#117—21no—
592#117—21no—
593C2×C22⋊C4—21no—
594C2×C22⋊C4—21no—
595C2×C22⋊C4—21no—
596C2×C22⋊C4—21no—
597C2×C22⋊C4—21no—
598C2×C42C23×C1111yescharacteristic
599#107—21no—
600#107—21no—
601#107—21no—
602#106—21no—
603#106—21no—
604#106—21no—
605C4⋊C8—21no—
606C4⋊C8—21no—
607#103—21no—
608#103—21no—
609#103—21no—
610#103—21no—
611#103—21no—
612#103—21no—
613#103—21no—
614#102—21no—
615#102—21no—
616#102—21no—
617#102—21no—
618#102—21no—
619C22⋊C8—21no—
620C22⋊C8—21no—
621#97C23×C1111yescharacteristic
622#97C23×C1111yescharacteristic
623#97C23×C1111yescharacteristic
624#97C23×C1111yescharacteristic
625#97C23×C1111yescharacteristic
626#97C23×C1111yescharacteristic
627C4×C8—21no—
628C2×C11—41no—
629C2×C11—81no—
630C2×C11—81no—
631C2×C11—81no—
632C2×C11—81no—
633C2×C11#301811yescharacteristic
634C2×C11#301911yescharacteristic
635C2×C11#302211yescharacteristic
636C24—21no—
637C24—21no—
638#41—82no—
639C2×Q8—21no—
640C2×Q8—21no—
641C2×Q8—21no—
642C2×Q8—21no—
643C2×Q8—81no—
644C2×Q8C2×D4×C1111yescharacteristic
645C2×Q8C2×D4×C1111yescharacteristic
646C2×Q8C2×D4×C1111yescharacteristic
647C2×Q8C2×D4×C1111yescharacteristic
648C2×D4—21no—
649C2×D4—21no—
650C2×D4—21no—
651C2×D4—21no—
652C2×D4—21no—
653C2×D4—21no—
654C2×D4—21no—
655C2×D4—21no—
656C2×D4—21no—
657C2×D4—21no—
658C2×D4—81no—
659C2×D4—82no—
660C2×D4C2×D4×C1111yescharacteristic
661C2×D4C2×D4×C1111yescharacteristic
662C2×D4C2×D4×C1111yescharacteristic
663C2×D4C2×D4×C1111yescharacteristic
664C22×C4—21no—
665C22×C4—21no—
666C22×C4—21no—
667C22×C4—21no—
668C22×C4—21no—
669C22×C4—21no—
670C22×C4—21no—
671C22×C4—21no—
672C22×C4C2×D4×C1111yescharacteristic
673C22×C4C2×D4×C1111yescharacteristic
674C22×C4C2×D4×C1111yescharacteristic
675Q16—42no—
676Q16—81no—
677Q16—81no—
678SD16—42no—
679SD16—81no—
680SD16—81no—
681M16—42no—
682C2×C8—21no—
683C2×C8—21no—
684C2×C8—21no—
685C2×C8—21no—
686C2×C8—21no—
687C2×C8—21no—
688C4⋊C4—21no—
689C4⋊C4—21no—
690C4⋊C4—21no—
691C4⋊C4—21no—
692C4⋊C4—21no—
693C4⋊C4—21no—
694C4⋊C4—21no—
695C4⋊C4—21no—
696C4⋊C4—21no—
697C4⋊C4—21no—
698C4⋊C4—21no—
699C4⋊C4—21no—
700C4⋊C4—21no—
701C4⋊C4—21no—
702C4⋊C4—21no—
703C4⋊C4—21no—
704C4⋊C4—21no—
705C4⋊C4—21no—
706C4⋊C4—41no—
707C4⋊C4—41no—
708C4⋊C4C2×D4×C1111yescharacteristic
709C4⋊C4C2×D4×C1111yescharacteristic
710C4⋊C4C2×D4×C1111yescharacteristic
711C4⋊C4C2×D4×C1111yescharacteristic
712C22⋊C4—21no—
713C22⋊C4—21no—
714C22⋊C4—21no—
715C22⋊C4—21no—
716C22⋊C4—21no—
717C22⋊C4—21no—
718C22⋊C4—21no—
719C22⋊C4—21no—
720C22⋊C4—21no—
721C22⋊C4—21no—
722C22⋊C4—21no—
723C22⋊C4—21no—
724C22⋊C4—21no—
725C22⋊C4—21no—
726C22⋊C4—21no—
727C22⋊C4—21no—
728C22⋊C4—21no—
729C22⋊C4—21no—
730C22⋊C4—21no—
731C22⋊C4—21no—
732C22⋊C4—21no—
733C22⋊C4—21no—
734C22⋊C4—21no—
735C22⋊C4—21no—
736C22⋊C4—21no—
737C22⋊C4—21no—
738C22⋊C4—21no—
739C22⋊C4—21no—
740C22⋊C4—41no—
741C42—21no—
742C42—21no—
743C42—21no—
744C42—21no—
745C42—41no—
746C42C2×D4×C1111yescharacteristic
747C42C2×D4×C1111yescharacteristic
748C42C2×D4×C1111yescharacteristic
749C42C24×C1111yescharacteristic
750C11#1906911yescharacteristic, direct product factor, Sylow
751C23—21no—
752C23—21no—
753C23—21no—
754C23—21no—
755C23—42no—
756C23—81no—
757C23—81no—
758C23—81no—
759C23—81no—
760C23—81no—
761C23C11×#12011yescharacteristic
762Q8—41no—
763Q8—41no—
764Q8—41no—
765Q8—41no—
766Q8—41no—
767Q8—41no—
768Q8—41no—
769Q8—41no—
770Q8—81no—
771Q8—81no—
772D4—41no—
773D4—41no—
774D4—41no—
775D4—41no—
776D4—42no—
777D4—42no—
778D4—81no—
779D4—81no—
780D4—81no—
781D4—81no—
782D4—81no—
783D4—81no—
784D4—81no—
785D4—81no—
786C2×C4—21no—
787C2×C4—21no—
788C2×C4—21no—
789C2×C4—21no—
790C2×C4—21no—
791C2×C4—21no—
792C2×C4—21no—
793C2×C4—21no—
794C2×C4—41no—
795C2×C4—41no—
796C2×C4—41no—
797C2×C4—42no—
798C2×C4—41no—
799C2×C4—41no—
800C2×C4—81no—
801C2×C4—81no—
802C2×C4—81no—
803C2×C4—81no—
804C2×C4—81no—
805C2×C4—81no—
806C2×C4—81no—
807C2×C4C11×#12011yescharacteristic
808C2×C4C11×#12011yescharacteristic
809C2×C4C11×#12011yescharacteristic
810C2×C4C22×D4×C1111yescharacteristic
811C2×C4C22×D4×C1111yescharacteristic
812C2×C4C22×D4×C1111yescharacteristic
813C8—22no—
814C8—41no—
815C8—41no—
816C8—41no—
817C8—41no—
818C8—41no—
819C22—21no—
820C22—21no—
821C22—21no—
822C22—41no—
823C22—41no—
824C22—41no—
825C22—41no—
826C22—41no—
827C22—41no—
828C22—41no—
829C22—41no—
830C22—41no—
831C22—41no—
832C22—41no—
833C22—41no—
834C22—162no—
835C22—162no—
836C22C2×C11×#12011yescharacteristic
837C4—21no—
838C4—21no—
839C4—21no—
840C4—21no—
841C4—21no—
842C4—21no—
843C4—41no—
844C4—41no—
845C4—41no—
846C4—41no—
847C4—41no—
848C4—41no—
849C4—41no—
850C4—41no—
851C4—81no—
852C4—81no—
853C2—41no—
854C2—81no—
855C2—81no—
856C2—81no—
857C2—81no—
858C2C11×#301811yescharacteristic
859C2C11×#301911yescharacteristic
860C2C11×#302211yescharacteristic
subgroupG/H
center, socleC22×C11C2×#120
commutator, Frattini, cosocleC42C24×C11
prime radicalC11×#3545C2
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×#3215C2semidirect
4. C11×#3172C2semidirect
5. C11×#1664C2semidirect
6. C11×#1662C2semidirect
7. C11×#1661C2semidirect
8. C11×#1661C2semidirect
9. C11×#1661C2semidirect
10. C11×#1660C2semidirect
11. C11×#1659C2semidirect
12. C11×#1659C2semidirect
13. C11×#1535C2semidirect
14. C11×#1529C2semidirect
15. C11×#1527C2semidirect
32. C11×#533C22semidirect
36. C11×#501C22semidirect
37. C11×#501C22semidirect
38. C11×#501C22semidirect
40. C11×#497C22semidirect
41. C11×#497C22semidirect
42. C11×#491C22semidirect
44. C11×#489C22semidirect
45. C11×#489C22semidirect
46. C11×#489C22semidirect
47. C11×#489C22semidirect
60. C11×#432C22semidirect
61. C11×#432C22semidirect
62. C4×C11×M16C22semidirect
63. C11×#330C22semidirect
64. C11×#330C22semidirect
65. C11×#330C22semidirect
66. C11×#330C22semidirect
69. C11×#329C22semidirect
70. C11×#329C22semidirect
71. C11×#329C22semidirect
72. C11×#329C22semidirect
73. C11×#329C22semidirect
74. C11×#329C22semidirect
206. #19069C11direct (N × H)
322. #3240C2×C11semidirect
323. #3215C2×C11semidirect
324. #3172C2×C11semidirect
325. #1664C2×C11semidirect
326. #1662C2×C11semidirect
327. #1661C2×C11semidirect
328. #1661C2×C11semidirect
329. #1661C2×C11semidirect
330. #1660C2×C11semidirect
331. #1659C2×C11semidirect
332. #1659C2×C11semidirect
333. #1535C2×C11semidirect
334. #1529C2×C11semidirect
335. #1527C2×C11semidirect
420. #533C22×C11semidirect
424. #501C22×C11semidirect
425. #501C22×C11semidirect
426. #501C22×C11semidirect
428. #497C22×C11semidirect
429. #497C22×C11semidirect
430. #491C22×C11semidirect
432. #489C22×C11semidirect
433. #489C22×C11semidirect
434. #489C22×C11semidirect
435. #489C22×C11semidirect
448. #432C22×C11semidirect
449. #432C22×C11semidirect
450. C4×M16C22×C11semidirect
451. #330C22×C11semidirect
452. #330C22×C11semidirect
453. #330C22×C11semidirect
454. #330C22×C11semidirect
457. #329C22×C11semidirect
458. #329C22×C11semidirect
459. #329C22×C11semidirect
460. #329C22×C11semidirect
461. #329C22×C11semidirect
462. #329C22×C11semidirect
750. C11#19069direct (N × H)

Maximal subgroups

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

subgroupindex
C11×#35452
C11×#32402
C11×#32152
C11×#31722
C11×#16642
C11×#16622
C11×#16612
C11×#16602
C11×#16592
C11×#15352
C11×#15292
C11×#15272
#1906911