Finite Group Databasebeta

← D11×#3339 #15632237

Subgroups — D11×#3339 #15632237

Order 2816.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1138 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#553C212yesmaximal, complemented
2#13081021C211yesmaximal, characteristic, complemented
3#13081020C211yesmaximal, characteristic, complemented
4#13081019C211yesmaximal, characteristic, complemented
5#13081018C211yesmaximal, characteristic, complemented
6#13081017C211yesmaximal, characteristic, complemented
7#13081016C212yesmaximal, complemented
8#13081015C212yesmaximal, complemented
9#13081014C211yesmaximal, characteristic, complemented
10#13081013C211yesmaximal, characteristic, complemented
11#13081012C212yesmaximal, complemented
12#13081011C212yesmaximal, complemented
13D11×#499C211yesmaximal, characteristic, complemented
14D11×#481C212yesmaximal, complemented
15D11×#482C212yesmaximal, complemented
16D11×#478C212yesmaximal, complemented
17D11×#466C211yesmaximal, characteristic, complemented
18D11×#466C211yesmaximal, characteristic, complemented
19C4×D8×D11C211yesmaximal, characteristic, complemented
20C8×D4×D11C211yesmaximal, characteristic, complemented
21D11×#427C211yesmaximal, characteristic, complemented
22C2×D11×#107C211yesmaximal, characteristic, complemented
23C11×#3339C211yesmaximal, characteristic, complemented
24C11×#553C2212yescomplemented
25C2×D8×D11C2211yescharacteristic
26C22×C8×D11C2211yescharacteristic
27C22×C8×D11C2211yescharacteristic
28#10623240—22no—
29D11×#126—22no—
30#10623226C2212yescomplemented
31D11×#125C2212yes—
32#10623192—22no—
33D11×#123—22no—
34#10623149C2212yescomplemented
35#10623145C2212yescomplemented
36D11×#121—22no—
37D11×#121C2212yes—
38D11×#121C2212yes—
39#10623132—22no—
40#10623096C2212yescomplemented
41#10623089C2212yescomplemented
42C4×D4×D11—22no—
43C4×D4×D11C2212yes—
44C4×D4×D11C2211yescharacteristic
45#10623071—22no—
46#10623061C2212yescomplemented
47D11×#117C2212yes—
48#10623045C2212yescomplemented
49C2×C4⋊C4×D11C2212yes—
50C11×#499C2211yescharacteristic, complemented
51C11×#482C2212yescomplemented
52C11×#481C2212yescomplemented
53C11×#478C2212yescomplemented
54C11×#466C2211yescharacteristic, complemented
55C11×#466C2211yescharacteristic, complemented
56C4×C11×D8C2211yescharacteristic, complemented
57C8×D4×C11C2211yescharacteristic, complemented
58C11×#427C2211yescharacteristic, complemented
59C2×C11×#107C2211yescharacteristic, complemented
60#10622770C2211yescharacteristic, complemented
61#10622770C2211yescharacteristic, complemented
62D8×Dic11C2211yescharacteristic, complemented
63#10622728C2211yescharacteristic, complemented
64#10622728C2211yescharacteristic, complemented
65C8×C22⋊D11C2211yescharacteristic, complemented
66C8×C22⋊D11C2211yescharacteristic, complemented
67#10622719C2211yescharacteristic, complemented
68C2×#66882C2211yescharacteristic, complemented
69#10622679C2212yescomplemented
70#10622677C2212yescomplemented
71#10622651C2212yescomplemented
72#10622651C2212yescomplemented
73#10622648C2212yescomplemented
74#10622647C2212yescomplemented
75C4×#4323C2212yescomplemented
76D4×C11⋊C8C2211yescharacteristic, complemented
77#10622622C2212yescomplemented
78#10622616C2212yescomplemented
79#10622611C2212yescomplemented
80#10622581C2212yescomplemented
81C2×#66871C2212yescomplemented
82#10622504C2212yescomplemented
83#10622498C2212yescomplemented
84#10622496C2211yescharacteristic, complemented
85#10622496C2211yescharacteristic, complemented
86#10622493C2211yescharacteristic, complemented
87#10622493C2211yescharacteristic, complemented
88D11×#107C2211yescharacteristic
89D11×#107C2211yescharacteristic
90D11×#107C2212yes—
91D11×#107C2211yescharacteristic
92D11×#107C2212yescomplemented
93D11×#107C2211yescharacteristic, complemented
94D11×#107C2211yescharacteristic, complemented
95#10622491C2211yescharacteristic, complemented
96#10622491C2211yescharacteristic, complemented
97#10622485C2211yescharacteristic, complemented
98#10622484C2212yescomplemented
99#10622479C2212yescomplemented
100#10622476C2212yescomplemented
101#10622476C2212yescomplemented
102#10622473C2212yescomplemented
103D11×#106C2212yes—
104D11×#106C2212yes—
105#10622471C2212yescomplemented
106#10622460C2212yescomplemented
107#10622447C2211yescharacteristic, complemented
108D11×C4⋊C8C2211yescharacteristic
109#10622397C2212yescomplemented
110#10622392C2212yescomplemented
111#10622390C2212yescomplemented
112#10622390C2212yescomplemented
113#10622388C2212yescomplemented
114#10622388C2212yescomplemented
115D11×#102C2212yes—
116D11×#102C2212yes—
117D11×#102C2212yes—
118#10622379C2212yescomplemented
119#10622376C2212yescomplemented
120#10622369C2212yescomplemented
121#10622350C2212yescomplemented
122#10622348C2212yescomplemented
123(C22⋊D11)⋊C8C2211yescharacteristic, complemented
124(C22⋊D11)⋊C8C2211yescharacteristic, complemented
125D11×C22⋊C8C2211yescharacteristic
126D11×C22⋊C8C2211yescharacteristic
127C4×D88C2211yescharacteristic, complemented
128C8×D44C2211yescharacteristic, complemented
129C4×C8×D11C2211yescharacteristic
130#10622296C2211yescharacteristic, complemented
131C2×D4×D11—22no—
132C2×D4×D11—22no—
133C2×D4×D11D411yescharacteristic
134C2×D4×D11C2312yes—
135C22×C4×D11—22no—
136C22×C4×D11—22no—
137C22×C4×D11C2311yescharacteristic
138C22×C4×D11C2311yescharacteristic
139C2×C11×D8C2311yescharacteristic
140C22×C8×C11C2311yescharacteristic
141C22×C8×C11C2311yescharacteristic
142C11×#126—22no—
143C11×#125C2312yes—
144C11×#123—22no—
145C11×#121—22no—
146C11×#121C2312yes—
147C11×#121C2312yes—
148C4×D4×C11—22no—
149C4×D4×C11C2312yes—
150C4×D4×C11C2311yescharacteristic
151C11×#117C2312yes—
152C2×C11×C4⋊C4C2312yes—
153#66992—22no—
154#66992—22no—
155#66992—22no—
156#66992—22no—
157#66991—22no—
158#66991C2312yes—
159#66991C2312yes—
160#66988—22no—
161D4×Dic11—22no—
162D4×Dic11D411yescharacteristic
163D4×Dic11C2312yes—
164C2×#4323C2312yes—
165#66983—22no—
166#66983C2312yes—
167#66983C2312yes—
168#66982—22no—
169C4×C22⋊D11—22no—
170C4×C22⋊D11—22no—
171C4×C22⋊D11—22no—
172C4×C22⋊D11C2311yescharacteristic
173C4×C22⋊D11C2311yescharacteristic
174#66979C2312yes—
175C2×C4⋊Dic11C2312yes—
176C2×Dic11⋊C4—22no—
177C22×C11⋊C8C2311yescharacteristic
178C22×C11⋊C8C2311yescharacteristic
179D8×D11—24no—
180C2×D88C2311yescharacteristic
181C2×C8×D11—24no—
182C2×C8×D11—24no—
183C2×C8×D11C2311yescharacteristic
184C2×C8×D11C2311yescharacteristic
185C2×C8×D11C2311yescharacteristic
186C2×C8×D11C2311yescharacteristic
187C2×C8×D11C2311yescharacteristic
188C2×C8×D11C2311yescharacteristic
189C2×C8×D11C2311yescharacteristic
190C2×C8×D11C2311yescharacteristic
191#66951—22no—
192#66951—22no—
193#66951—22no—
194#66948—22no—
195#66948C2312yes—
196#66948C2312yes—
197#66947—22no—
198#66947—22no—
199#66946—22no—
200#66946D411yescharacteristic
201#66946C2312yes—
202#66945C2312yes—
203#66945C2312yes—
204C4⋊C4×D11—22no—
205C4⋊C4×D11—22no—
206C4⋊C4×D11—22no—
207C4⋊C4×D11—22no—
208C4⋊C4×D11D411yescharacteristic
209C4⋊C4×D11C2312yes—
210C4⋊C4×D11C2312yes—
211C4⋊C4×D11C2312yes—
212C4⋊C4×D11C2312yes—
213C4⋊C4×D11C2312yes—
214#66943C2312yes—
215#66943C2312yes—
216#66942—22no—
217#66942—22no—
218#66939—22no—
219#66937—22no—
220#66937—22no—
221#66937—22no—
222#66937—22no—
223#66936—22no—
224#66936—22no—
225(C22⋊D11)⋊C4—22no—
226(C22⋊D11)⋊C4—22no—
227(C22⋊D11)⋊C4—22no—
228(C22⋊D11)⋊C4D411yescharacteristic
229(C22⋊D11)⋊C4D411yescharacteristic
230C22⋊C4×D11—22no—
231C22⋊C4×D11—22no—
232C22⋊C4×D11—22no—
233C22⋊C4×D11—22no—
234C22⋊C4×D11D411yescharacteristic
235C22⋊C4×D11D411yescharacteristic
236#66932—22no—
237#66932—22no—
238#66932—22no—
239#66930—22no—
240#66929—22no—
241C4×D44—22no—
242C4×D44C2311yescharacteristic
243C4×D44C2312yes—
244#66925—22no—
245C42×D11—22no—
246C42×D11C2311yescharacteristic
247#66923C2312yes—
248C11×#107C2311yescharacteristic
249C11×#107C2311yescharacteristic
250C11×#107C2311yescharacteristic
251C11×#107C2312yes—
252C11×#106C2312yes—
253C11×#106C2312yes—
254C11×C4⋊C8C2311yescharacteristic
255C11×#102C2312yes—
256C11×#102C2312yes—
257C11×#102C2312yes—
258C11×C22⋊C8C2311yescharacteristic
259C11×C22⋊C8C2311yescharacteristic
260C4×C8×C11C2311yescharacteristic
261#66896C2312yes—
262#66896C2312yes—
263#66896C2312yes—
264C22⋊(C11⋊C8)C2311yescharacteristic
265C22⋊(C11⋊C8)C2311yescharacteristic
266#66885C2312yes—
267#66885C2312yes—
268#66885C2312yes—
269(C2×D11)⋊C8C2311yescharacteristic
270(C2×D11)⋊C8C2311yescharacteristic
271(C2×D11)⋊C8C2311yescharacteristic
272(C2×D11)⋊C8C2311yescharacteristic
273#66882C2311yescharacteristic
274#66882C2311yescharacteristic
275#66882C2311yescharacteristic
276#66882C2312yes—
277#66881C2312yes—
278#66881C2312yes—
279Dic11⋊C8C2311yescharacteristic
280Dic11⋊C8C2311yescharacteristic
281C8×Dic11C2311yescharacteristic
282C8×Dic11C2311yescharacteristic
283#66873C2312yes—
284#66873C2312yes—
285#66873C2312yes—
286#66872C2312yes—
287#66872C2312yes—
288#66872C2312yes—
289#66872C2312yes—
290#66871C2312yes—
291#66871C2312yes—
292#66871C2312yes—
293#66871C2312yes—
294#66871C2312yes—
295C4⋊(C11⋊C8)C2311yescharacteristic
296C4×C11⋊C8C2311yescharacteristic
297C2×#3339—111nomaximal, Sylow
298C23×D11—22no—
299C23×D11C2×D411yescharacteristic
300C23×D11C2×D411yescharacteristic
301C2×D4×C11—22no—
302C2×D4×C11—22no—
303C2×D4×C11C2×D411yescharacteristic
304C2×D4×C11C2412yes—
305C22×C4×C11—22no—
306C22×C4×C11—22no—
307C22×C4×C11C2411yescharacteristic
308C22×C4×C11C2411yescharacteristic
309C2×C22⋊D11—22no—
310C2×C22⋊D11—22no—
311C2×C22⋊D11—22no—
312C2×C22⋊D11—22no—
313C2×C22⋊D11—22no—
314C2×C22⋊D11C2×D411yescharacteristic
315C2×C22⋊D11C2×D411yescharacteristic
316C22×Dic11—22no—
317C22×Dic11—22no—
318C22×Dic11C2×D411yescharacteristic
319C22×Dic11C2×D411yescharacteristic
320D4×D11—24no—
321D4×D11—24no—
322D4×D11—24no—
323D4×D11—48no—
324D4×D11—84no—
325C2×D44—22no—
326C2×D44—22no—
327C2×D44C2×D411yescharacteristic
328C2×D44C2412yes—
329C2×C4×D11—22no—
330C2×C4×D11—22no—
331C2×C4×D11—22no—
332C2×C4×D11—22no—
333C2×C4×D11—22no—
334C2×C4×D11—22no—
335C2×C4×D11—22no—
336C2×C4×D11—22no—
337C2×C4×D11—22no—
338C2×C4×D11—22no—
339C2×C4×D11—22no—
340C2×C4×D11—84no—
341C2×C4×D11—84no—
342C2×C4×D11C2×D411yescharacteristic
343C2×C4×D11C2×D411yescharacteristic
344C2×C4×D11C2×D411yescharacteristic
345C2×C4×D11C2×D411yescharacteristic
346C2×C4×D11C2×D411yescharacteristic
347C2×C4×D11C2×D411yescharacteristic
348C2×C4×D11C2411yescharacteristic
349C2×C4×D11C2411yescharacteristic
350C2×C4×D11C2411yescharacteristic
351C11×D8—22no—
352C2×C8×C11—22no—
353C2×C8×C11—22no—
354C2×C8×C11C2411yescharacteristic
355C2×C8×C11C2411yescharacteristic
356C2×C8×C11C2411yescharacteristic
357C2×C8×C11C2411yescharacteristic
358C11×C4⋊C4—22no—
359C11×C4⋊C4—22no—
360C11×C4⋊C4—22no—
361C11×C4⋊C4C2×D411yescharacteristic
362C11×C4⋊C4C2412yes—
363C11×C4⋊C4C2412yes—
364C11×C4⋊C4C2412yes—
365C11×C22⋊C4—22no—
366C11×C22⋊C4—22no—
367C11×C22⋊C4—22no—
368C11×C22⋊C4—22no—
369C11×C22⋊C4C2×D411yescharacteristic
370C11×C22⋊C4C2×D411yescharacteristic
371C42×C11—22no—
372C42×C11C2411yescharacteristic
373C22⋊Dic11—22no—
374C22⋊Dic11—22no—
375C22⋊Dic11—22no—
376C22⋊Dic11—22no—
377C22⋊Dic11C2×D411yescharacteristic
378C22⋊Dic11C2×D411yescharacteristic
379#4323—24no—
380(C2×D11)⋊C4—22no—
381(C2×D11)⋊C4—22no—
382(C2×D11)⋊C4—22no—
383(C2×D11)⋊C4—22no—
384(C2×D11)⋊C4—22no—
385(C2×D11)⋊C4—22no—
386(C2×D11)⋊C4—22no—
387(C2×D11)⋊C4—22no—
388(C2×D11)⋊C4C2×D411yescharacteristic
389(C2×D11)⋊C4C2×D411yescharacteristic
390(C2×D11)⋊C4C2×D411yescharacteristic
391(C2×D11)⋊C4C2×D411yescharacteristic
392C4⋊Dic11—22no—
393C4⋊Dic11—22no—
394C4⋊Dic11—22no—
395C4⋊Dic11C2×D411yescharacteristic
396C4⋊Dic11C2412yes—
397C4⋊Dic11C2412yes—
398C4⋊Dic11C2412yes—
399Dic11⋊C4—22no—
400Dic11⋊C4—22no—
401Dic11⋊C4—22no—
402Dic11⋊C4—22no—
403Dic11⋊C4—22no—
404Dic11⋊C4—22no—
405Dic11⋊C4—22no—
406Dic11⋊C4—22no—
407Dic11⋊C4—22no—
408Dic11⋊C4C2×D411yescharacteristic
409Dic11⋊C4C2×D411yescharacteristic
410C4×Dic11—22no—
411C4×Dic11—22no—
412C4×Dic11—22no—
413C4×Dic11C2×D411yescharacteristic
414C4×Dic11C2×D411yescharacteristic
415C4×Dic11C2411yescharacteristic
416C2×C11⋊C8—22no—
417C2×C11⋊C8—22no—
418C2×C11⋊C8C2411yescharacteristic
419C2×C11⋊C8C2411yescharacteristic
420C2×C11⋊C8C2411yescharacteristic
421C2×C11⋊C8C2411yescharacteristic
422D88—22no—
423C8×D11—22no—
424C8×D11—22no—
425C8×D11—22no—
426C8×D11—22no—
427C8×D11—22no—
428C8×D11—22no—
429C8×D11—22no—
430C8×D11#4114yes—
431C2×#553—112no—
432#3339—111no—
433#3339—112no—
434#3339—112no—
435#3339—112no—
436#3339—111no—
437#3339—111no—
438#3339—111no—
439#3339—111no—
440#3339—111no—
441#3339—111no—
442#3339—112no—
443#3339D1111yescharacteristic, direct product factor
444C2×#499—111no—
445C2×#481—112no—
446C2×#482—112no—
447C2×#478—112no—
448C2×#466—111no—
449C2×#466—111no—
450C2×C4×D8—111no—
451C2×C8×D4—111no—
452C2×#427—111no—
453C22×#107—111no—
454C23×C11—22no—
455C23×C11C22×D411yescharacteristic
456C23×C11C22×D411yescharacteristic
457C22×D11—22no—
458C22×D11—22no—
459C22×D11—22no—
460C22×D11—22no—
461C22×D11—22no—
462C22×D11—22no—
463C22×D11—44no—
464C22×D11—44no—
465C22×D11—44no—
466C22×D11#13514yes—
467C22×D11C22×D411yescharacteristic
468C22×D11C22×D411yescharacteristic
469C22×D11C22×D411yescharacteristic
470D4×C11—22no—
471D4×C11—22no—
472D4×C11—22no—
473D4×C11—44no—
474D4×C11—82no—
475C2×C4×C11—21no—
476C2×C4×C11—21no—
477C2×C4×C11—21no—
478C2×C4×C11—21no—
479C2×C4×C11—22no—
480C2×C4×C11—22no—
481C2×C4×C11—22no—
482C2×C4×C11—82no—
483C2×C4×C11—82no—
484C2×C4×C11C22×D411yescharacteristic
485C2×C4×C11C22×D411yescharacteristic
486C2×C4×C11C22×D411yescharacteristic
487C2×C4×C11C22×D411yescharacteristic
488C2×C4×C11C2511yescharacteristic
489C22⋊D11—22no—
490C22⋊D11—22no—
491C22⋊D11—44no—
492C22⋊D11—44no—
493C22⋊D11—44no—
494C22⋊D11—82no—
495C22⋊D11—82no—
496C2×Dic11—22no—
497C2×Dic11—22no—
498C2×Dic11—22no—
499C2×Dic11—22no—
500C2×Dic11—22no—
501C2×Dic11—82no—
502C2×Dic11—82no—
503C2×Dic11C22×D411yescharacteristic
504C2×Dic11C22×D411yescharacteristic
505C2×Dic11C22×D411yescharacteristic
506C2×Dic11C22×D411yescharacteristic
507C2×Dic11C22×D411yescharacteristic
508D44—22no—
509D44—22no—
510D44—22no—
511D44—44no—
512D44—82no—
513C4×D11—22no—
514C4×D11—22no—
515C4×D11—22no—
516C4×D11—22no—
517C4×D11—21no—
518C4×D11—21no—
519C4×D11—21no—
520C4×D11—21no—
521C4×D11—22no—
522C4×D11—22no—
523C4×D11—44no—
524C4×D11—44no—
525C4×D11—44no—
526C4×D11—82no—
527C4×D11—82no—
528C4×D11—82no—
529C4×D11—82no—
530C4×D11C2×#4112yes—
531C4×D112−1+412yes—
532C8×C11—21no—
533C8×C11—21no—
534C8×C11—21no—
535C8×C11C2×#4112yes—
536C11⋊C8—21no—
537C11⋊C8—21no—
538C11⋊C8—21no—
539C11⋊C8C2×#4112yes—
540C22×D8—111no—
541C23×C8—111no—
542C23×C8—111no—
543#553—112no—
544#553—112no—
545#553—112no—
546#553—112no—
547#553—112no—
548#553—112no—
549#553—112no—
550#553—222no—
551#553—222no—
552#553—222no—
553#553—222no—
554#553C2×D1112yescomplemented
555C2×#126—222no—
556C2×#125—112no—
557C2×#123—222no—
558C2×#121—112no—
559C2×#121—112no—
560C2×#121—222no—
561C2×C4×D4—111no—
562C2×C4×D4—112no—
563C2×C4×D4—222no—
564C2×#117—112no—
565C22×C4⋊C4—112no—
566#499—112no—
567#499—111no—
568#499—111no—
569#499—112no—
570#499—111no—
571#499C2×D1111yescharacteristic, complemented
572#482—112no—
573#482—112no—
574#482—112no—
575#482—112no—
576#482—112no—
577#482—112no—
578#482—112no—
579#482C2×D1112yescomplemented
580#481—112no—
581#481—112no—
582#481—112no—
583#481—112no—
584#481—112no—
585#481—112no—
586#481—112no—
587#481C2×D1112yescomplemented
588#478—112no—
589#478—112no—
590#478—112no—
591#478—112no—
592#478—112no—
593#478—112no—
594#478—112no—
595#478C2×D1112yescomplemented
596#466—111no—
597#466—111no—
598#466—111no—
599#466—111no—
600#466—112no—
601#466—112no—
602#466—111no—
603#466—111no—
604#466—112no—
605#466—112no—
606#466C2×D1111yescharacteristic, complemented
607#466C2×D1111yescharacteristic, complemented
608C4×D8—111no—
609C4×D8—112no—
610C4×D8—111no—
611C4×D8—112no—
612C4×D8—111no—
613C4×D8C2×D1111yescharacteristic, complemented
614C8×D4—111no—
615C8×D4—111no—
616C8×D4—111no—
617C8×D4—111no—
618C8×D4—111no—
619C8×D4—111no—
620C8×D4—111no—
621C8×D4C2×D1111yescharacteristic, complemented
622#427—111no—
623#427—112no—
624#427—111no—
625#427—111no—
626#427—112no—
627#427C2×D1111yescharacteristic, complemented
628C2×#107—111no—
629C2×#107—112no—
630C2×#107—112no—
631C2×#107—111no—
632C2×#107—111no—
633C2×#107—112no—
634C2×#107—111no—
635C2×#107—111no—
636C2×#107—111no—
637C2×#107C2×D1111yescharacteristic, complemented
638C2×#106—112no—
639C2×#106—112no—
640C2×C4⋊C8—111no—
641C2×#102—112no—
642C2×#102—112no—
643C2×#102—112no—
644C2×C22⋊C8—111no—
645C2×C22⋊C8—111no—
646C2×C4×C8—111no—
647C22×C11—21no—
648C22×C11—21no—
649C22×C11—21no—
650C22×C11—21no—
651C22×C11—21no—
652C22×C11—42no—
653C22×C11—42no—
654C22×C11—42no—
655C22×C11C2×#13512yes—
656C22×C11C23×D411yescharacteristic
657C2×D11—21no—
658C2×D11—21no—
659C2×D11—28no—
660C2×D11—21no—
661C2×D11—21no—
662C2×D11—21no—
663C2×D11—44no—
664C2×D11—42no—
665C2×D11—42no—
666C2×D11—42no—
667C2×D11—88no—
668C2×D11#54712yes—
669C2×D11C2×#13512yes—
670C2×D11C2×#13512yes—
671C2×D11#57612yes—
672C4×C11—21no—
673C4×C11—21no—
674C4×C11—21no—
675C4×C11—21no—
676C4×C11—42no—
677C4×C11—42no—
678C4×C11—42no—
679C4×C11C22×#4111yescharacteristic
680C4×C11C2×2−1+411yescharacteristic
681Dic11—21no—
682Dic11—21no—
683Dic11—21no—
684Dic11—21no—
685Dic11—42no—
686Dic11—42no—
687Dic11—42no—
688Dic11#54712yes—
689C22×D4—111no—
690C22×D4—112no—
691C22×D4—222no—
692C22×D4—222no—
693C23×C4—111no—
694C23×C4—111no—
695C23×C4—222no—
696C23×C4—222no—
697C2×D8—112no—
698C2×D8—111no—
699C2×D8—224no—
700C2×D8C22×D1111yescharacteristic
701C22×C8—111no—
702C22×C8—111no—
703C22×C8—111no—
704C22×C8—111no—
705C22×C8—111no—
706C22×C8—111no—
707C22×C8—111no—
708C22×C8—111no—
709C22×C8—111no—
710C22×C8—111no—
711C22×C8—224no—
712C22×C8—224no—
713C22×C8C22×D1111yescharacteristic
714C22×C8C22×D1111yescharacteristic
715#126—22no—
716#126—222no—
717#126—222no—
718#126—222no—
719#126—222no—
720#126—222no—
721#126—222no—
722#126—222no—
723#125—112no—
724#125—112no—
725#125—112no—
726#125—222no—
727#125—222no—
728#125C22×D1112yes—
729#123—22no—
730#123—222no—
731#123—222no—
732#123—222no—
733#123—222no—
734#123—222no—
735#123—222no—
736#123—222no—
737#121—22no—
738#121—112no—
739#121—112no—
740#121—112no—
741#121—112no—
742#121—112no—
743#121—112no—
744#121—222no—
745#121—222no—
746#121—222no—
747#121—222no—
748#121—222no—
749#121—222no—
750#121—222no—
751#121—222no—
752#121—222no—
753#121—222no—
754#121—222no—
755#121C22×D1112yes—
756#121C22×D1112yes—
757C4×D4—22no—
758C4×D4—111no—
759C4×D4—111no—
760C4×D4—111no—
761C4×D4—111no—
762C4×D4—111no—
763C4×D4—111no—
764C4×D4—112no—
765C4×D4—112no—
766C4×D4—111no—
767C4×D4—112no—
768C4×D4—222no—
769C4×D4—222no—
770C4×D4—222no—
771C4×D4—222no—
772C4×D4—222no—
773C4×D4—222no—
774C4×D4—222no—
775C4×D4—222no—
776C4×D4—222no—
777C4×D4C22×D1112yes—
778C4×D4C22×D1111yescharacteristic
779#117—112no—
780#117—112no—
781#117—112no—
782#117—222no—
783#117—222no—
784#117C22×D1112yes—
785C2×C4⋊C4—111no—
786C2×C4⋊C4—112no—
787C2×C4⋊C4—112no—
788C2×C4⋊C4—112no—
789C2×C4⋊C4—112no—
790C2×C4⋊C4—112no—
791C2×C4⋊C4—112no—
792C2×C4⋊C4—222no—
793C2×C4⋊C4—222no—
794C2×C4⋊C4—222no—
795C2×C4⋊C4—222no—
796C2×C4⋊C4—222no—
797C2×C4⋊C4C22×D1112yes—
798C2×C22⋊C4—111no—
799C2×C22⋊C4—111no—
800C2×C22⋊C4—222no—
801C2×C22⋊C4—222no—
802C2×C22⋊C4—222no—
803C2×C22⋊C4—222no—
804C2×C42—111no—
805C2×C42—222no—
806#107—111no—
807#107—111no—
808#107—112no—
809#107—111no—
810#107—112no—
811#107—112no—
812#107—112no—
813#107—112no—
814#107—112no—
815#107C22×D1111yescharacteristic
816#107C22×D1111yescharacteristic
817#107C22×D1112yes—
818#107C22×D1111yescharacteristic
819#106—112no—
820#106—112no—
821#106—112no—
822#106—112no—
823#106—112no—
824#106—112no—
825#106C22×D1112yes—
826#106C22×D1112yes—
827C4⋊C8—111no—
828C4⋊C8—111no—
829C4⋊C8—111no—
830C4⋊C8C22×D1111yescharacteristic
831#102—112no—
832#102—112no—
833#102—112no—
834#102—112no—
835#102—112no—
836#102—112no—
837#102—112no—
838#102—112no—
839#102—112no—
840#102C22×D1112yes—
841#102C22×D1112yes—
842#102C22×D1112yes—
843C22⋊C8—111no—
844C22⋊C8—111no—
845C22⋊C8—111no—
846C22⋊C8—111no—
847C22⋊C8—111no—
848C22⋊C8—111no—
849C22⋊C8C22×D1111yescharacteristic
850C22⋊C8C22×D1111yescharacteristic
851C4×C8—111no—
852C4×C8—111no—
853C4×C8—111no—
854C4×C8C22×D1111yescharacteristic
855C2×C11—22no—
856C2×C11—41no—
857C2×C11—82no—
858C2×C11C2×#54711yescharacteristic
859C2×C11C22×#13511yescharacteristic
860C2×C11C2×#57611yescharacteristic
861D11—22no—
862D11—41no—
863D11—82no—
864D11#333914yesdirect product factor
865C24—111no—
866C24—111no—
867C24—222no—
868C2×D4—22no—
869C2×D4—22no—
870C2×D4—111no—
871C2×D4—111no—
872C2×D4—111no—
873C2×D4—112no—
874C2×D4—222no—
875C2×D4—222no—
876C2×D4—224no—
877C2×D4—224no—
878C2×D4—222no—
879C2×D4—224no—
880C2×D4—222no—
881C2×D4—222no—
882C2×D4—222no—
883C2×D4—222no—
884C2×D4—448no—
885C2×D4—884no—
886C2×D4D4×D1111yescharacteristic
887C2×D4C23×D1112yes—
888C22×C4—22no—
889C22×C4—22no—
890C22×C4—111no—
891C22×C4—111no—
892C22×C4—111no—
893C22×C4—111no—
894C22×C4—111no—
895C22×C4—111no—
896C22×C4—111no—
897C22×C4—111no—
898C22×C4—111no—
899C22×C4—111no—
900C22×C4—111no—
901C22×C4—222no—
902C22×C4—222no—
903C22×C4—222no—
904C22×C4—222no—
905C22×C4—222no—
906C22×C4—222no—
907C22×C4—222no—
908C22×C4—222no—
909C22×C4—222no—
910C22×C4—222no—
911C22×C4—222no—
912C22×C4—222no—
913C22×C4—222no—
914C22×C4—884no—
915C22×C4—884no—
916C22×C4C23×D1111yescharacteristic
917C22×C4C23×D1111yescharacteristic
918D8—22no—
919D8—224no—
920D8—222no—
921C2×C8—22no—
922C2×C8—22no—
923C2×C8—111no—
924C2×C8—114no—
925C2×C8—111no—
926C2×C8—111no—
927C2×C8—111no—
928C2×C8—222no—
929C2×C8—222no—
930C2×C8—222no—
931C2×C8—222no—
932C2×C8—222no—
933C2×C8—222no—
934C2×C8—222no—
935C2×C8—222no—
936C2×C8—222no—
937C2×C8C23×D1111yescharacteristic
938C2×C8C23×D1111yescharacteristic
939C2×C8C23×D1111yescharacteristic
940C2×C8C23×D1111yescharacteristic
941C4⋊C4—22no—
942C4⋊C4—22no—
943C4⋊C4—22no—
944C4⋊C4—111no—
945C4⋊C4—111no—
946C4⋊C4—111no—
947C4⋊C4—112no—
948C4⋊C4—112no—
949C4⋊C4—112no—
950C4⋊C4—222no—
951C4⋊C4—222no—
952C4⋊C4—222no—
953C4⋊C4—222no—
954C4⋊C4—222no—
955C4⋊C4—222no—
956C4⋊C4—222no—
957C4⋊C4—222no—
958C4⋊C4—222no—
959C4⋊C4—222no—
960C4⋊C4—222no—
961C4⋊C4—222no—
962C4⋊C4D4×D1111yescharacteristic
963C4⋊C4C23×D1112yes—
964C4⋊C4C23×D1112yes—
965C4⋊C4C23×D1112yes—
966C22⋊C4—22no—
967C22⋊C4—22no—
968C22⋊C4—22no—
969C22⋊C4—22no—
970C22⋊C4—111no—
971C22⋊C4—111no—
972C22⋊C4—111no—
973C22⋊C4—111no—
974C22⋊C4—111no—
975C22⋊C4—111no—
976C22⋊C4—222no—
977C22⋊C4—222no—
978C22⋊C4—222no—
979C22⋊C4—222no—
980C22⋊C4—222no—
981C22⋊C4—222no—
982C22⋊C4—222no—
983C22⋊C4—222no—
984C22⋊C4—222no—
985C22⋊C4—222no—
986C22⋊C4—222no—
987C22⋊C4—222no—
988C22⋊C4D4×D1111yescharacteristic
989C22⋊C4D4×D1111yescharacteristic
990C42—22no—
991C42—111no—
992C42—111no—
993C42—111no—
994C42—222no—
995C42—222no—
996C42—222no—
997C42C23×D1111yescharacteristic
998C11C2×#333911yescharacteristic, complemented, Sylow
999C23—22no—
1000C23—111no—
1001C23—114no—
1002C23—111no—
1003C23—111no—
1004C23—222no—
1005C23—222no—
1006C23—222no—
1007C23—222no—
1008C23—222no—
1009C23—222no—
1010C23—444no—
1011C23—444no—
1012C23—444no—
1013C23C2×D4×D1111yescharacteristic
1014C23C2×D4×D1111yescharacteristic
1015D4—22no—
1016D4—22no—
1017D4—22no—
1018D4—44no—
1019D4—82no—
1020D4—222no—
1021D4—222no—
1022D4—222no—
1023D4—222no—
1024D4—222no—
1025D4—444no—
1026D4—444no—
1027D4—444no—
1028D4—444no—
1029D4—882no—
1030D4—882no—
1031D4—882no—
1032C2×C4—21no—
1033C2×C4—21no—
1034C2×C4—21no—
1035C2×C4—21no—
1036C2×C4—22no—
1037C2×C4—22no—
1038C2×C4—22no—
1039C2×C4—82no—
1040C2×C4—82no—
1041C2×C4—111no—
1042C2×C4—112no—
1043C2×C4—112no—
1044C2×C4—111no—
1045C2×C4—111no—
1046C2×C4—111no—
1047C2×C4—111no—
1048C2×C4—222no—
1049C2×C4—222no—
1050C2×C4—222no—
1051C2×C4—222no—
1052C2×C4—222no—
1053C2×C4—222no—
1054C2×C4—222no—
1055C2×C4—222no—
1056C2×C4—221no—
1057C2×C4—221no—
1058C2×C4—221no—
1059C2×C4—221no—
1060C2×C4—222no—
1061C2×C4—222no—
1062C2×C4—222no—
1063C2×C4—444no—
1064C2×C4—444no—
1065C2×C4—444no—
1066C2×C4—882no—
1067C2×C4—882no—
1068C2×C4—882no—
1069C2×C4—882no—
1070C2×C4—882no—
1071C2×C4—882no—
1072C2×C4C2×D4×D1111yescharacteristic
1073C2×C4C2×D4×D1111yescharacteristic
1074C2×C4C2×D4×D1111yescharacteristic
1075C2×C4C2×D4×D1111yescharacteristic
1076C2×C4C24×D1111yescharacteristic
1077C8—21no—
1078C8—21no—
1079C8—21no—
1080C8—112no—
1081C8—221no—
1082C8—221no—
1083C8—221no—
1084C8#41×D1112yes—
1085C22—21no—
1086C22—21no—
1087C22—21no—
1088C22—21no—
1089C22—21no—
1090C22—42no—
1091C22—42no—
1092C22—42no—
1093C22—112no—
1094C22—112no—
1095C22—112no—
1096C22—112no—
1097C22—228no—
1098C22—221no—
1099C22—221no—
1100C22—221no—
1101C22—221no—
1102C22—221no—
1103C22—444no—
1104C22—442no—
1105C22—442no—
1106C22—442no—
1107C22—888no—
1108C22D11×#13512yes—
1109C22C22×D4×D1111yescharacteristic
1110C4—21no—
1111C4—21no—
1112C4—21no—
1113C4—21no—
1114C4—42no—
1115C4—42no—
1116C4—42no—
1117C4—112no—
1118C4—221no—
1119C4—221no—
1120C4—221no—
1121C4—221no—
1122C4—442no—
1123C4—442no—
1124C4—442no—
1125C4C2×#41×D1111yescharacteristic
1126C4D11×2−1+411yescharacteristic
1127C2—22no—
1128C2—41no—
1129C2—82no—
1130C2—114no—
1131C2—222no—
1132C2—441no—
1133C2—882no—
1134C2D11×#54711yescharacteristic
1135C2C2×D11×#13511yescharacteristic
1136C2D11×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3339C2
socleC22×C11C23×D4
hypercenter#3339D11
hypocenterC11C2×#3339
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3339

Complements

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

NH ≅ G/Ntype
1. D11×#553C2semidirect
2. #13081021C2semidirect
3. #13081020C2semidirect
4. #13081019C2semidirect
5. #13081018C2semidirect
6. #13081017C2semidirect
7. #13081016C2semidirect
8. #13081015C2semidirect
9. #13081014C2semidirect
10. #13081013C2semidirect
11. #13081012C2semidirect
12. #13081011C2semidirect
13. D11×#499C2semidirect
14. D11×#481C2semidirect
15. D11×#482C2semidirect
16. D11×#478C2semidirect
17. D11×#466C2semidirect
18. D11×#466C2semidirect
19. C4×D8×D11C2semidirect
20. C8×D4×D11C2semidirect
21. D11×#427C2semidirect
22. C2×D11×#107C2semidirect
23. C11×#3339C2semidirect
24. C11×#553C22semidirect
30. #10623226C22semidirect
34. #10623149C22semidirect
35. #10623145C22semidirect
40. #10623096C22semidirect
41. #10623089C22semidirect
46. #10623061C22semidirect
48. #10623045C22semidirect
50. C11×#499C22semidirect
51. C11×#482C22semidirect
52. C11×#481C22semidirect
53. C11×#478C22semidirect
54. C11×#466C22semidirect
55. C11×#466C22semidirect
56. C4×C11×D8C22semidirect
57. C8×D4×C11C22semidirect
58. C11×#427C22semidirect
59. C2×C11×#107C22semidirect
60. #10622770C22semidirect
61. #10622770C22semidirect
62. D8×Dic11C22semidirect
63. #10622728C22semidirect
64. #10622728C22semidirect
65. C8×C22⋊D11C22semidirect
66. C8×C22⋊D11C22semidirect
67. #10622719C22semidirect
68. C2×#66882C22semidirect
69. #10622679C22semidirect
70. #10622677C22semidirect
71. #10622651C22semidirect
72. #10622651C22semidirect
73. #10622648C22semidirect
74. #10622647C22semidirect
75. C4×#4323C22semidirect
76. D4×C11⋊C8C22semidirect
77. #10622622C22semidirect
78. #10622616C22semidirect
79. #10622611C22semidirect
80. #10622581C22semidirect
81. C2×#66871C22semidirect
82. #10622504C22semidirect
83. #10622498C22semidirect
84. #10622496C22semidirect
85. #10622496C22semidirect
86. #10622493C22semidirect
87. #10622493C22semidirect
92. D11×#107C22semidirect
93. D11×#107C22semidirect
94. D11×#107C22semidirect
95. #10622491C22semidirect
96. #10622491C22semidirect
97. #10622485C22semidirect
98. #10622484C22semidirect
99. #10622479C22semidirect
100. #10622476C22semidirect
101. #10622476C22semidirect
102. #10622473C22semidirect
105. #10622471C22semidirect
106. #10622460C22semidirect
107. #10622447C22semidirect
109. #10622397C22semidirect
110. #10622392C22semidirect
111. #10622390C22semidirect
112. #10622390C22semidirect
113. #10622388C22semidirect
114. #10622388C22semidirect
118. #10622379C22semidirect
119. #10622376C22semidirect
120. #10622369C22semidirect
121. #10622350C22semidirect
122. #10622348C22semidirect
123. (C22⋊D11)⋊C8C22semidirect
124. (C22⋊D11)⋊C8C22semidirect
127. C4×D88C22semidirect
128. C8×D44C22semidirect
130. #10622296C22semidirect
443. #3339D11direct (N × H)
554. #553C2×D11semidirect
571. #499C2×D11semidirect
579. #482C2×D11semidirect
587. #481C2×D11semidirect
595. #478C2×D11semidirect
606. #466C2×D11semidirect
607. #466C2×D11semidirect
613. C4×D8C2×D11semidirect
621. C8×D4C2×D11semidirect
627. #427C2×D11semidirect
637. C2×#107C2×D11semidirect
864. D11#3339direct (N × H)
998. C11C2×#3339semidirect

Maximal subgroups

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

subgroupindex
D11×#5532
#130810212
#130810202
#130810192
#130810182
#130810172
#130810162
#130810152
#130810142
#130810132
#130810122
#130810112
D11×#4992
D11×#4812
D11×#4822
D11×#4782
D11×#4662
C4×D8×D112
C8×D4×D112
D11×#4272
C2×D11×#1072
C11×#33392
C2×#333911