Finite Group Databasebeta

← D11×#2080 #14782690

Subgroups — D11×#2080 #14782690

Order 2816.

906 conjugacy classes of subgroups.

The subgroup lattice has 834 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#424C211yesmaximal, characteristic, complemented
2D11×#421C211yesmaximal, characteristic
3D11×#416C211yesmaximal, characteristic
4D11×#413C211yesmaximal, characteristic
5#13070072C211yesmaximal, characteristic, complemented
6#13070071C211yesmaximal, characteristic, complemented
7#13070070C211yesmaximal, characteristic, complemented
8#13070069C211yesmaximal, characteristic, complemented
9#13070068C211yesmaximal, characteristic, complemented
10#13070067C211yesmaximal, characteristic, complemented
11#13070066C211yesmaximal, characteristic, complemented
12D11×#344C211yesmaximal, characteristic, complemented
13D11×#341C211yesmaximal, characteristic, complemented
14D11×H(3,ℤ/4)C211yesmaximal, characteristic, complemented
15C11×#2080C211yesmaximal, characteristic, complemented
16C2×#41×D11C2211yescharacteristic
17C2×M16×D11C2211yescharacteristic
18C2×M16×D11C2211yescharacteristic
19C2×M16×D11C2211yescharacteristic
20C22×C8×D11C2211yescharacteristic
21D11×#117C2211yescharacteristic
22D11×#117C2211yescharacteristic
23C11×#424C2211yescharacteristic, complemented
24C11×#421C2211yescharacteristic
25C11×#416C2211yescharacteristic
26C11×#413C2211yescharacteristic
27#10622850C2211yescharacteristic
28#10622849C2211yescharacteristic
29#10622846C2211yescharacteristic
30#10622752C2211yescharacteristic
31#10622745C2211yescharacteristic
32#10622745C2211yescharacteristic
33#10622732C2211yescharacteristic, complemented
34#10622726C2211yescharacteristic
35#10622715C2211yescharacteristic, complemented
36#10622618C2211yescharacteristic
37#10622615C2211yescharacteristic
38#10622612C2211yescharacteristic, complemented
39#10622452—22no—
40D11×C4⋊C8—22no—
41#10622434—22no—
42D11×#104—22no—
43#10622417—21no—
44D11×#103—21no—
45#10622385—21no—
46D11×#102—21no—
47#10622364—21no—
48D11×#101—21no—
49#10622358—21no—
50D11×#100—21no—
51C11×#344C2211yescharacteristic, complemented
52C11×#341C2211yescharacteristic, complemented
53C11×H(3,ℤ/4)C2211yescharacteristic, complemented
54#10622197C2211yescharacteristic, complemented
55#10622196C2211yescharacteristic, complemented
56#10622196C2211yescharacteristic, complemented
57#10622195C2211yescharacteristic, complemented
58#10622194C2211yescharacteristic, complemented
59#10622190C2211yescharacteristic, complemented
60#10622171C2211yescharacteristic, complemented
61#10622169C2211yescharacteristic, complemented
62#10622169C2211yescharacteristic, complemented
63C2×C11×#41C2311yescharacteristic
64#41×D11—21no—
65#41×D11—21no—
66#41×D11—21no—
67#41×D11—21no—
68#41×D11—21no—
69#41×D11—21no—
70#41×D11—21no—
71#41×D11—21no—
72C2×#4343D411yescharacteristic
73C2×Q8×D11D411yescharacteristic
74C2×#4341—21no—
75C2×#4341D411yescharacteristic
76C2×D4×D11—21no—
77C2×D4×D11D411yescharacteristic
78C2×#4339—21no—
79C2×#4339C2311yescharacteristic
80C22×C4×D11—21no—
81C22×C4×D11C2311yescharacteristic
82C2×C11×M16C2311yescharacteristic
83C2×C11×M16C2311yescharacteristic
84C2×C11×M16C2311yescharacteristic
85C22×C8×C11C2311yescharacteristic
86C11×#117C2311yescharacteristic
87C11×#117C2311yescharacteristic
88#66979C2311yescharacteristic
89#66979C2311yescharacteristic
90C2×#4318C2311yescharacteristic
91C2×#4318C2311yescharacteristic
92C2×#4318C2311yescharacteristic
93C22×C11⋊C8C2311yescharacteristic
94M16×D11—21no—
95M16×D11—21no—
96M16×D11—21no—
97M16×D11—21no—
98M16×D11—21no—
99M16×D11—21no—
100M16×D11—21no—
101M16×D11—21no—
102M16×D11—21no—
103M16×D11—21no—
104M16×D11—21no—
105M16×D11—21no—
106C2×#4313—21no—
107C2×#4313—21no—
108C2×#4313—21no—
109C2×C8×D11—21no—
110C2×C8×D11—21no—
111C2×C8×D11—21no—
112C2×C8×D11—21no—
113C2×C8×D11—21no—
114C2×C8×D11—21no—
115C2×C8×D11—21no—
116C2×C8×D11—21no—
117C2×C8×D11—21no—
118#66945—21no—
119#66945—21no—
120C4⋊C4×D11—21no—
121C4⋊C4×D11—21no—
122C22⋊C4×D11—21no—
123C22⋊C4×D11—21no—
124#66930—21no—
125#66930—21no—
126#66925—21no—
127#66925D412yes—
128C42×D11—21no—
129C42×D11D412yes—
130C11×C4⋊C8—22no—
131C11×#104—22no—
132C11×#103—21no—
133C11×#102—21no—
134C11×#101—21no—
135C11×#100—21no—
136#66901—22no—
137#66900—21no—
138#66899—21no—
139#66897—21no—
140#66896—21no—
141#66889—22no—
142#66888—21no—
143#66888—21no—
144#66887—21no—
145#66887—21no—
146#66885—21no—
147#66880—21no—
148Dic11⋊C8—22no—
149Dic11⋊C8—22no—
150#66874—21no—
151#66873—21no—
152#66869—22no—
153C4⋊(C11⋊C8)—22no—
154C2×#2080—111nomaximal, Sylow
155C23×D11—21no—
156C23×D11#4111yescharacteristic
157C11×#41—21no—
158C11×#41—21no—
159C11×#41—21no—
160C11×#41—21no—
161C2×Q8×C11C2×D411yescharacteristic
162C2×D4×C11—21no—
163C2×D4×C11C2×D411yescharacteristic
164C22×C4×C11—21no—
165C22×C4×C11C2411yescharacteristic
166C2×C22⋊D11—21no—
167C2×C22⋊D11—21no—
168C2×C22⋊D11—21no—
169C22×Dic11—21no—
170C22×Dic11#4111yescharacteristic
171#4343—21no—
172#4343—21no—
173#4343—21no—
174#4343—21no—
175Q8×D11—21no—
176Q8×D11—21no—
177Q8×D11—21no—
178Q8×D11—21no—
179#4341—21no—
180#4341—21no—
181#4341—21no—
182#4341—21no—
183#4341—41no—
184#4341—41no—
185#4341—41no—
186#4341—41no—
187D4×D11—21no—
188D4×D11—21no—
189D4×D11—21no—
190D4×D11—21no—
191D4×D11—41no—
192D4×D11—41no—
193D4×D11—41no—
194D4×D11—41no—
195#4339—21no—
196#4339—21no—
197#4339—21no—
198#4339—21no—
199#4339—41no—
200#4339—41no—
201#4339—41no—
202#4339—41no—
203C2×D44—21no—
204C2×D44C2×D411yescharacteristic
205C2×C4×D11—21no—
206C2×C4×D11—22no—
207C2×C4×D11—21no—
208C2×C4×D11—21no—
209C2×C4×D11—41no—
210C2×C4×D11—41no—
211C2×C4×D11—41no—
212C2×C4×D11—41no—
213C2×C4×D11—41no—
214C2×C4×D11C2×D411yescharacteristic
215C2×C4×D11C2×D411yescharacteristic
216C2×C4×D11C2×D411yescharacteristic
217C2×C4×D11C2×D411yescharacteristic
218C2×C4×D11#4111yescharacteristic
219C2×C4×D11#4111yescharacteristic
220C2×C4×D11#4111yescharacteristic
221C2×C4×D11#4111yescharacteristic
222C2×C4×D11#4111yescharacteristic
223C2×C4×D11#4111yescharacteristic
224C2×C4×D11#4111yescharacteristic
225C2×C4×D11#4111yescharacteristic
226C2×Dic22—21no—
227C2×Dic22C2×D411yescharacteristic
228C11×M16—21no—
229C11×M16—21no—
230C11×M16—21no—
231C11×M16—21no—
232C11×M16—21no—
233C11×M16—21no—
234C2×C8×C11—21no—
235C2×C8×C11—21no—
236C2×C8×C11—21no—
237C2×C8×C11—21no—
238C2×C8×C11—21no—
239C2×C8×C11—21no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—21no—
242C11×C22⋊C4—21no—
243C11×C22⋊C4—21no—
244C42×C11—21no—
245C42×C11C2×D412yes—
246C22⋊Dic11—21no—
247C22⋊Dic11—21no—
248(C2×D11)⋊C4—22no—
249(C2×D11)⋊C4—41no—
250C4⋊Dic11—21no—
251C4⋊Dic11—21no—
252Dic11⋊C4—22no—
253Dic11⋊C4—41no—
254C4×Dic11—22no—
255C4×Dic11—21no—
256C4×Dic11—41no—
257C4×Dic11C2×D412yes—
258#4318—21no—
259#4318—21no—
260#4318—21no—
261#4318—21no—
262#4318—21no—
263#4318—21no—
264C2×C11⋊C8—21no—
265C2×C11⋊C8—21no—
266C2×C11⋊C8—21no—
267C2×C11⋊C8—21no—
268C2×C11⋊C8—21no—
269C2×C11⋊C8—21no—
270#4313—41no—
271#4313—41no—
272#4313—41no—
273#4313—41no—
274#4313—41no—
275#4313—41no—
276C8×D11—41no—
277C8×D11—41no—
278C8×D11—41no—
279C8×D11—41no—
280C8×D11—41no—
281C8×D11—41no—
282C8×D11—41no—
283C8×D11—41no—
284C8×D11—41no—
285C8×D11—41no—
286C2×#424—111no—
287C2×#421—111no—
288C2×#416—111no—
289C2×#413—111no—
290#2080—111no—
291#2080—111no—
292#2080—111no—
293#2080—111no—
294#2080—111no—
295#2080—111no—
296#2080—111no—
297#2080D1111yescharacteristic, direct product factor
298C2×#344—111no—
299C2×#341—111no—
300C2×H(3,ℤ/4)—111no—
301C23×C11—21no—
302C23×C11C2×#4111yescharacteristic
303C22×D11—21no—
304C22×D11—42no—
305C22×D11—41no—
306C22×D11—41no—
307C22×D11—82no—
308C22×D11#12311yescharacteristic
309C22×D11#12311yescharacteristic
310C22×D11#12311yescharacteristic
311C22×D11#12311yescharacteristic
312C22×D11#12611yescharacteristic
313C22×D11#12611yescharacteristic
314Q8×C11—21no—
315Q8×C11—21no—
316D4×C11—21no—
317D4×C11—21no—
318D4×C11—41no—
319D4×C11—41no—
320C2×C4×C11—22no—
321C2×C4×C11—21no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—41no—
325C2×C4×C11C22×D411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C2×#4111yescharacteristic
328C2×C4×C11C2×#4111yescharacteristic
329C2×C4×C11C2×#4111yescharacteristic
330C2×C4×C11C2×#4111yescharacteristic
331C22⋊D11—41no—
332C22⋊D11—41no—
333C22⋊D11—41no—
334C22⋊D11—41no—
335C22⋊D11—41no—
336C22⋊D11—41no—
337C2×Dic11—22no—
338C2×Dic11—21no—
339C2×Dic11—41no—
340C2×Dic11—41no—
341C2×Dic11—41no—
342C2×Dic11#12311yescharacteristic
343C2×Dic11#12311yescharacteristic
344C2×Dic11#12311yescharacteristic
345C2×Dic11#12311yescharacteristic
346C2×Dic11#12611yescharacteristic
347C2×Dic11#12611yescharacteristic
348D44—21no—
349D44—21no—
350D44—41no—
351D44—41no—
352C4×D11—44no—
353C4×D11—41no—
354C4×D11—41no—
355C4×D11—41no—
356C4×D11—41no—
357C4×D11—41no—
358C4×D11—41no—
359C4×D11—82no—
360C4×D11#12111yescharacteristic
361C4×D11#12111yescharacteristic
362C4×D11#12111yescharacteristic
363C4×D11#12111yescharacteristic
364C4×D11#12311yescharacteristic
365C4×D11#12311yescharacteristic
366C4×D11#12311yescharacteristic
367C4×D11#12311yescharacteristic
368C4×D11#12411yescharacteristic
369C4×D11#12411yescharacteristic
370C4×D11#12411yescharacteristic
371C4×D11#12411yescharacteristic
372C4×D11#12611yescharacteristic
373C4×D11#12611yescharacteristic
374C4×D11#12611yescharacteristic
375C4×D11#12611yescharacteristic
376Dic22—21no—
377Dic22—21no—
378Dic22—41no—
379Dic22—41no—
380C8×C11—41no—
381C8×C11—41no—
382C8×C11—41no—
383C8×C11—41no—
384C11⋊C8—41no—
385C11⋊C8—41no—
386C11⋊C8—41no—
387C11⋊C8—41no—
388C22×#41—111no—
389C22×M16—111no—
390C22×M16—111no—
391C22×M16—111no—
392C23×C8—111no—
393C2×#117—111no—
394C2×#117—111no—
395#424—111no—
396#424—111no—
397#424—111no—
398#424—222no—
399#424C2×D1111yescharacteristic, complemented
400C2×C4⋊C8—222no—
401#421—111no—
402#421—111no—
403#421—111no—
404#421—222no—
405#421C2×D1111yescharacteristic
406C2×#104—222no—
407#416—111no—
408#416—111no—
409#416—111no—
410#416—221no—
411#416—221no—
412#416C2×D1111yescharacteristic
413C2×#103—221no—
414C2×#102—221no—
415#413—111no—
416#413—111no—
417#413—111no—
418#413—221no—
419#413—221no—
420#413C2×D1111yescharacteristic
421C2×#101—221no—
422C2×#100—221no—
423#344—111no—
424#344—111no—
425#344—111no—
426#344C2×D1111yescharacteristic, complemented
427#341—111no—
428#341—111no—
429#341—111no—
430#341C2×D1111yescharacteristic, complemented
431H(3,ℤ/4)—111no—
432H(3,ℤ/4)—111no—
433H(3,ℤ/4)—111no—
434H(3,ℤ/4)C2×D1111yescharacteristic, complemented
435C22×C11—41no—
436C22×C11—41no—
437C22×C11—81no—
438C22×C11C2×#12311yescharacteristic
439C22×C11C2×#12311yescharacteristic
440C22×C11C2×#12611yescharacteristic
441C2×D11—22no—
442C2×D11—22no—
443C2×D11—22no—
444C2×D11—41no—
445C2×D11—41no—
446C2×D11—41no—
447C2×D11—41no—
448C2×D11—82no—
449C2×D11—82no—
450C2×D11—81no—
451C2×D11#39711yescharacteristic
452C2×D11#39711yescharacteristic
453C2×D11#39711yescharacteristic
454C2×D11#39711yescharacteristic
455C4×C11—42no—
456C4×C11—41no—
457C4×C11—81no—
458C4×C11C2×#12111yescharacteristic
459C4×C11C2×#12311yescharacteristic
460C4×C11C2×#12411yescharacteristic
461C4×C11C2×#12611yescharacteristic
462Dic11—42no—
463Dic11—41no—
464Dic11—81no—
465Dic11#39711yescharacteristic
466Dic11#39711yescharacteristic
467Dic11#39711yescharacteristic
468Dic11#39711yescharacteristic
469C2×#41—111no—
470C2×#41—111no—
471C2×#41—111no—
472C2×#41—221no—
473C2×#41—221no—
474C2×#41—221no—
475C2×#41—221no—
476C2×#41—221no—
477C2×#41—221no—
478C2×#41—221no—
479C2×#41—221no—
480C2×#41—221no—
481C2×#41—221no—
482C2×#41C22×D1111yescharacteristic
483C22×Q8—111no—
484C22×D4—111no—
485C22×D4—221no—
486C23×C4—111no—
487C23×C4—221no—
488C2×M16—111no—
489C2×M16—111no—
490C2×M16—111no—
491C2×M16—221no—
492C2×M16—221no—
493C2×M16—221no—
494C2×M16—221no—
495C2×M16—221no—
496C2×M16—221no—
497C2×M16—221no—
498C2×M16—221no—
499C2×M16—221no—
500C2×M16—221no—
501C2×M16—221no—
502C2×M16—221no—
503C2×M16—221no—
504C2×M16—221no—
505C2×M16—221no—
506C2×M16C22×D1111yescharacteristic
507C2×M16C22×D1111yescharacteristic
508C2×M16C22×D1111yescharacteristic
509C22×C8—111no—
510C22×C8—221no—
511C22×C8—221no—
512C22×C8—221no—
513C22×C8—221no—
514C22×C8—221no—
515C22×C8—221no—
516C22×C8—221no—
517C22×C8—221no—
518C22×C8—221no—
519C22×C8C22×D1111yescharacteristic
520#117—111no—
521#117—112no—
522#117—111no—
523#117—221no—
524#117—221no—
525#117—221no—
526#117—221no—
527#117—221no—
528#117C22×D1111yescharacteristic
529#117C22×D1111yescharacteristic
530C2×C4⋊C4—221no—
531C2×C4⋊C4—221no—
532C2×C22⋊C4—221no—
533C2×C22⋊C4—221no—
534C2×C42—112no—
535C2×C42—221no—
536C4⋊C8—22no—
537C4⋊C8—222no—
538C4⋊C8—222no—
539C4⋊C8—222no—
540#104—22no—
541#104—222no—
542#104—222no—
543#104—222no—
544#103—21no—
545#103—221no—
546#103—221no—
547#103—221no—
548#102—21no—
549#102—221no—
550#102—221no—
551#102—221no—
552#101—21no—
553#101—221no—
554#101—221no—
555#101—221no—
556#100—21no—
557#100—221no—
558#100—221no—
559#100—221no—
560C2×C11—21no—
561C2×C11—21no—
562C2×C11—21no—
563C2×C11—81no—
564C2×C11C2×#39711yescharacteristic
565D11—21no—
566D11—21no—
567D11—21no—
568D11—81no—
569D11#208012yesdirect product factor
570C24—111no—
571C24—221no—
572#41—21no—
573#41—21no—
574#41—21no—
575#41—21no—
576#41—221no—
577#41—221no—
578#41—221no—
579#41—221no—
580#41—221no—
581#41—221no—
582#41—221no—
583#41—221no—
584#41—221no—
585#41—221no—
586#41—221no—
587#41—221no—
588#41—441no—
589#41—441no—
590#41—441no—
591#41—441no—
592#41—441no—
593#41—441no—
594#41—441no—
595#41—441no—
596C2×Q8—111no—
597C2×Q8—221no—
598C2×Q8—221no—
599C2×Q8—221no—
600C2×Q8—221no—
601C2×Q8—221no—
602C2×Q8D4×D1111yescharacteristic
603C2×D4—21no—
604C2×D4—111no—
605C2×D4—221no—
606C2×D4—221no—
607C2×D4—221no—
608C2×D4—221no—
609C2×D4—221no—
610C2×D4—221no—
611C2×D4—221no—
612C2×D4—221no—
613C2×D4—441no—
614C2×D4—441no—
615C2×D4—441no—
616C2×D4—441no—
617C2×D4D4×D1111yescharacteristic
618C22×C4—21no—
619C22×C4—111no—
620C22×C4—111no—
621C22×C4—111no—
622C22×C4—111no—
623C22×C4—111no—
624C22×C4—111no—
625C22×C4—111no—
626C22×C4—111no—
627C22×C4—111no—
628C22×C4—111no—
629C22×C4—111no—
630C22×C4—111no—
631C22×C4—111no—
632C22×C4—221no—
633C22×C4—222no—
634C22×C4—221no—
635C22×C4—221no—
636C22×C4—221no—
637C22×C4—441no—
638C22×C4—441no—
639C22×C4—441no—
640C22×C4—441no—
641C22×C4—441no—
642C22×C4C23×D1111yescharacteristic
643M16—21no—
644M16—21no—
645M16—21no—
646M16—21no—
647M16—21no—
648M16—21no—
649M16—221no—
650M16—221no—
651M16—221no—
652M16—221no—
653M16—221no—
654M16—221no—
655M16—441no—
656M16—441no—
657M16—441no—
658M16—441no—
659M16—441no—
660M16—441no—
661C2×C8—21no—
662C2×C8—21no—
663C2×C8—21no—
664C2×C8—21no—
665C2×C8—21no—
666C2×C8—21no—
667C2×C8—221no—
668C2×C8—221no—
669C2×C8—221no—
670C2×C8—221no—
671C2×C8—221no—
672C2×C8—221no—
673C2×C8—441no—
674C2×C8—441no—
675C2×C8—441no—
676C2×C8—441no—
677C2×C8—441no—
678C2×C8—441no—
679C2×C8—441no—
680C2×C8—441no—
681C2×C8—441no—
682C2×C8—441no—
683C4⋊C4—21no—
684C4⋊C4—21no—
685C4⋊C4—222no—
686C4⋊C4—221no—
687C4⋊C4—221no—
688C4⋊C4—441no—
689C22⋊C4—21no—
690C22⋊C4—21no—
691C22⋊C4—222no—
692C22⋊C4—221no—
693C22⋊C4—221no—
694C22⋊C4—441no—
695C42—21no—
696C42—112no—
697C42—222no—
698C42—221no—
699C42—441no—
700C42D4×D1112yes—
701C11C2×#208011yescharacteristic, complemented, Sylow
702C23—21no—
703C23—111no—
704C23—111no—
705C23—111no—
706C23—111no—
707C23—111no—
708C23—111no—
709C23—221no—
710C23—441no—
711C23—441no—
712C23—442no—
713C23—882no—
714C23#41×D1111yescharacteristic
715Q8—21no—
716Q8—21no—
717Q8—221no—
718Q8—221no—
719Q8—441no—
720Q8—441no—
721D4—21no—
722D4—21no—
723D4—41no—
724D4—41no—
725D4—221no—
726D4—221no—
727D4—441no—
728D4—441no—
729D4—441no—
730D4—441no—
731D4—441no—
732D4—441no—
733D4—441no—
734D4—441no—
735C2×C4—22no—
736C2×C4—21no—
737C2×C4—41no—
738C2×C4—41no—
739C2×C4—41no—
740C2×C4—111no—
741C2×C4—111no—
742C2×C4—111no—
743C2×C4—111no—
744C2×C4—111no—
745C2×C4—111no—
746C2×C4—111no—
747C2×C4—111no—
748C2×C4—111no—
749C2×C4—111no—
750C2×C4—111no—
751C2×C4—111no—
752C2×C4—111no—
753C2×C4—111no—
754C2×C4—111no—
755C2×C4—111no—
756C2×C4—111no—
757C2×C4—111no—
758C2×C4—111no—
759C2×C4—111no—
760C2×C4—111no—
761C2×C4—111no—
762C2×C4—222no—
763C2×C4—221no—
764C2×C4—441no—
765C2×C4—441no—
766C2×C4—441no—
767C2×C4—441no—
768C2×C4—444no—
769C2×C4—441no—
770C2×C4—441no—
771C2×C4—441no—
772C2×C4—441no—
773C2×C4—441no—
774C2×C4—882no—
775C2×C4C2×D4×D1111yescharacteristic
776C2×C4C2×D4×D1111yescharacteristic
777C2×C4#41×D1111yescharacteristic
778C2×C4#41×D1111yescharacteristic
779C2×C4#41×D1111yescharacteristic
780C2×C4#41×D1111yescharacteristic
781C8—41no—
782C8—41no—
783C8—41no—
784C8—41no—
785C8—441no—
786C8—441no—
787C8—441no—
788C8—441no—
789C22—41no—
790C22—41no—
791C22—81no—
792C22—111no—
793C22—111no—
794C22—111no—
795C22—111no—
796C22—222no—
797C22—222no—
798C22—222no—
799C22—441no—
800C22—441no—
801C22—441no—
802C22—441no—
803C22—881no—
804C22—882no—
805C22—882no—
806C22D11×#12311yescharacteristic
807C22D11×#12311yescharacteristic
808C22D11×#12611yescharacteristic
809C4—42no—
810C4—41no—
811C4—81no—
812C4—111no—
813C4—111no—
814C4—111no—
815C4—111no—
816C4—442no—
817C4—441no—
818C4—881no—
819C4D11×#12111yescharacteristic
820C4D11×#12311yescharacteristic
821C4D11×#12411yescharacteristic
822C4D11×#12611yescharacteristic
823C2—21no—
824C2—21no—
825C2—21no—
826C2—81no—
827C2—112no—
828C2—221no—
829C2—221no—
830C2—221no—
831C2—881no—
832C2D11×#39711yescharacteristic
subgroupG/H
centerC4D11×#124
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
FittingC11×#2080C2
socleC2×C11C2×#397
prime radicalC2×#41×D11C22
hypercenter#2080D11
hypocenterC11C2×#2080
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2080

Complements

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

NH ≅ G/Ntype
1. D11×#424C2semidirect
5. #13070072C2semidirect
6. #13070071C2semidirect
7. #13070070C2semidirect
8. #13070069C2semidirect
9. #13070068C2semidirect
10. #13070067C2semidirect
11. #13070066C2semidirect
12. D11×#344C2semidirect
13. D11×#341C2semidirect
14. D11×H(3,ℤ/4)C2semidirect
15. C11×#2080C2semidirect
23. C11×#424C22semidirect
33. #10622732C22semidirect
35. #10622715C22semidirect
38. #10622612C22semidirect
51. C11×#344C22semidirect
52. C11×#341C22semidirect
53. C11×H(3,ℤ/4)C22semidirect
54. #10622197C22semidirect
55. #10622196C22semidirect
56. #10622196C22semidirect
57. #10622195C22semidirect
58. #10622194C22semidirect
59. #10622190C22semidirect
60. #10622171C22semidirect
61. #10622169C22semidirect
62. #10622169C22semidirect
297. #2080D11direct (N × H)
399. #424C2×D11semidirect
426. #344C2×D11semidirect
430. #341C2×D11semidirect
434. H(3,ℤ/4)C2×D11semidirect
569. D11#2080direct (N × H)
701. C11C2×#2080semidirect

Maximal subgroups

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

subgroupindex
D11×#4242
D11×#4212
D11×#4162
D11×#4132
#130700722
#130700712
#130700702
#130700692
#130700682
#130700672
#130700662
D11×#3442
D11×#3412
D11×H(3,ℤ/4)2
C11×#20802
C2×#208011