Finite Group Databasebeta

← D11×#1490 #14720187

Subgroups — D11×#1490 #14720187

Order 2816.

1734 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×D4×D11C211yesmaximal, characteristic
2D11×#432C211yesmaximal, characteristic, complemented
3C4×M16×D11C211yesmaximal, characteristic, complemented
4#13067060C211yesmaximal, characteristic, complemented
5#13067059C211yesmaximal, characteristic, complemented
6#13067058C211yesmaximal, characteristic, complemented
7#13067057C214yesmaximal, complemented
8D11×D4⋊C8C214yesmaximal, complemented
9C11×#1490C211yesmaximal, characteristic, complemented
10C22×D4×D11C411yescharacteristic
11C23×C4×D11—21no—
12C2×C4×D4×C11C2211yescharacteristic
13C2×D4×Dic11C411yescharacteristic
14C2×C4×C22⋊D11—21no—
15C2×M16×D11—21no—
16C4×D4×D11—21no—
17C4×D4×D11—21no—
18C4×D4×D11—21no—
19C4×D4×D11—21no—
20C4×D4×D11C412yes—
21C4×D4×D11C412yes—
22C4×D4×D11C2212yes—
23C4×D4×D11C2212yes—
24C2×#66946C411yescharacteristic
25C2×C4⋊C4×D11C411yescharacteristic
26C2×(C22⋊D11)⋊C4—21no—
27C2×C22⋊C4×D11—21no—
28C2×C4×D44C2211yescharacteristic
29C2×C42×D11C2211yescharacteristic
30C11×#432C2211yescharacteristic, complemented
31C4×C11×M16C2211yescharacteristic, complemented
32M16×Dic11—21no—
33#10622539C2211yescharacteristic, complemented
34C4×#4318C2211yescharacteristic, complemented
35#10622448C2212yescomplemented
36D11×C4⋊C8C2212yescomplemented
37D11×C22⋊C8—21no—
38#10622332—21no—
39#10622320—21no—
40#10622318—21no—
41D11×#97—21no—
42D11×#97—21no—
43C4×#4313C2212yescomplemented
44C4×C8×D11C2212yescomplemented
45C11×D4⋊C8C2214yescomplemented
46D4⋊(C11⋊C8)C2214yescomplemented
47#10622121C2214yescomplemented
48#10622097C2214yescomplemented
49C24×D11—21no—
50C22×D4×C11C2×C411yescharacteristic
51C23×C4×C11—21no—
52C22×C22⋊D11—21no—
53C23×Dic11—21no—
54C2×D4×D11—28no—
55C2×D4×D11—21no—
56C2×D4×D11—21no—
57C2×D4×D11C2×C412yes—
58C2×D4×D11C2×C412yes—
59C22×D44C2×C411yescharacteristic
60C22×C4×D11—21no—
61C22×C4×D11—21no—
62C22×C4×D11—21no—
63C22×C4×D11—22no—
64C22×C4×D11—22no—
65C22×C4×D11—22no—
66C22×C4×D11—22no—
67C22×C4×D11—48no—
68C22×C4×D11C2×C411yescharacteristic
69C22×C4×D11D411yescharacteristic
70C22×C4×D11D411yescharacteristic
71C2×C11×M16—21no—
72C4×D4×C11—21no—
73C4×D4×C11—21no—
74C4×D4×C11C2×C412yes—
75C4×D4×C11C2312yes—
76C2×C11×C4⋊C4C2×C411yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C42×C11C2311yescharacteristic
79C2×C22⋊Dic11—21no—
80D4×Dic11—21no—
81D4×Dic11—21no—
82D4×Dic11C2×C412yes—
83D4×Dic11C2×C412yes—
84C4×C22⋊D11—22no—
85C4×C22⋊D11—22no—
86C4×C22⋊D11—22no—
87C4×C22⋊D11—22no—
88C2×(C2×D11)⋊C4—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×C4⋊Dic11C2×C411yescharacteristic
91C2×Dic11⋊C4—21no—
92C2×C4×Dic11C2×C411yescharacteristic
93C2×C4×Dic11D411yescharacteristic
94C2×C4×Dic11D411yescharacteristic
95C2×#4318—21no—
96M16×D11—28no—
97C2×#4313—22no—
98C2×C8×D11—22no—
99C2×C8×D11—22no—
100#66946—21no—
101#66946—21no—
102#66946C2×C412yes—
103#66946C2×C412yes—
104C4⋊C4×D11—21no—
105C4⋊C4×D11—21no—
106C4⋊C4×D11C2×C412yes—
107C4⋊C4×D11C2×C412yes—
108(C22⋊D11)⋊C4—22no—
109(C22⋊D11)⋊C4—22no—
110(C22⋊D11)⋊C4—22no—
111(C22⋊D11)⋊C4—22no—
112C22⋊C4×D11—22no—
113C22⋊C4×D11—22no—
114C22⋊C4×D11—22no—
115C22⋊C4×D11—22no—
116C4×D44—21no—
117C4×D44—21no—
118C4×D44C2×C412yes—
119C4×D44C2312yes—
120C42×D11C2×C411yescharacteristic
121C42×D11C2×C411yescharacteristic
122C42×D11D411yescharacteristic
123C42×D11D411yescharacteristic
124C42×D11D411yescharacteristic
125C42×D11D411yescharacteristic
126C42×D11C2311yescharacteristic
127C42×D11C2311yescharacteristic
128C11×C4⋊C8C2312yescomplemented
129C11×C22⋊C8—21no—
130C11×#97—21no—
131C11×#97—21no—
132C4×C8×C11C2312yescomplemented
133C22⋊(C11⋊C8)—21no—
134(C2×D11)⋊C8—22no—
135#66879—22no—
136#66879—22no—
137Dic11⋊C8—22no—
138C8×Dic11—22no—
139C4⋊(C11⋊C8)C2312yescomplemented
140#66867—21no—
141#66867—21no—
142C4×C11⋊C8C2312yescomplemented
143C2×#1490—111nomaximal, Sylow
144C24×C11—21no—
145C23×D11—28no—
146C23×D11—21no—
147C23×D11—22no—
148C23×D11—22no—
149C23×D11—44no—
150C23×D11—44no—
151C23×D11C22⋊C411yescharacteristic
152C2×D4×C11—24no—
153C2×D4×C11—21no—
154C2×D4×C11C22×C412yes—
155C22×C4×C11—21no—
156C22×C4×C11—22no—
157C22×C4×C11—22no—
158C22×C4×C11—44no—
159C22×C4×C11C22×C411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C2×C22⋊D11—28no—
163C2×C22⋊D11—22no—
164C2×C22⋊D11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—21no—
168C22×Dic11—44no—
169C22×Dic11C22⋊C411yescharacteristic
170C22×Dic11C22⋊C411yescharacteristic
171C22×Dic11C22⋊C411yescharacteristic
172D4×D11—28no—
173D4×D11—28no—
174D4×D11—24no—
175D4×D11—24no—
176D4×D11—24no—
177D4×D11M1618yescomplemented
178C2×D44—24no—
179C2×D44—21no—
180C2×D44C22×C412yes—
181C2×C4×D11—24no—
182C2×C4×D11—24no—
183C2×C4×D11—22no—
184C2×C4×D11—22no—
185C2×C4×D11—24no—
186C2×C4×D11—22no—
187C2×C4×D11—22no—
188C2×C4×D11—22no—
189C2×C4×D11—22no—
190C2×C4×D11—44no—
191C2×C4×D11—44no—
192C2×C4×D11—48no—
193C2×C4×D11—48no—
194C2×C4×D11—48no—
195C2×C4×D11—44no—
196C2×C4×D11—48no—
197C2×C4×D11C22⋊C411yescharacteristic
198C2×C4×D11C22⋊C411yescharacteristic
199C2×C4×D11C22⋊C411yescharacteristic
200C2×C4×D11C22⋊C411yescharacteristic
201C2×C4×D11C22⋊C411yescharacteristic
202C2×C4×D11C22⋊C411yescharacteristic
203C2×C4×D11C22×C411yescharacteristic
204C2×C4×D11C22×C411yescharacteristic
205C2×C4×D11C2×D411yescharacteristic
206C2×C4×D11C2×D411yescharacteristic
207C2×C4×D11C2×D411yescharacteristic
208C2×C4×D11C2×D411yescharacteristic
209C11×M16—24no—
210C2×C8×C11—22no—
211C2×C8×C11—22no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4C22×C412yes—
214C11×C22⋊C4—22no—
215C11×C22⋊C4—22no—
216C42×C11C22×C411yescharacteristic
217C42×C11C2×D411yescharacteristic
218C42×C11C2×D411yescharacteristic
219C42×C11C2411yescharacteristic
220C22⋊Dic11—22no—
221C22⋊Dic11—22no—
222(C2×D11)⋊C4—22no—
223(C2×D11)⋊C4—22no—
224(C2×D11)⋊C4—22no—
225(C2×D11)⋊C4—22no—
226C4⋊Dic11—21no—
227C4⋊Dic11C22×C412yes—
228Dic11⋊C4—22no—
229Dic11⋊C4—22no—
230C4×Dic11C22⋊C411yescharacteristic
231C4×Dic11C22⋊C411yescharacteristic
232C4×Dic11C22⋊C411yescharacteristic
233C4×Dic11C22⋊C411yescharacteristic
234C4×Dic11C22⋊C411yescharacteristic
235C4×Dic11C22⋊C411yescharacteristic
236C4×Dic11C22×C411yescharacteristic
237C4×Dic11C22×C411yescharacteristic
238C4×Dic11C2×D411yescharacteristic
239C4×Dic11C2×D411yescharacteristic
240C4×Dic11C2×D411yescharacteristic
241C4×Dic11C2×D411yescharacteristic
242#4318—24no—
243C2×C11⋊C8—22no—
244C2×C11⋊C8—22no—
245#4313—28no—
246C8×D11—28no—
247C8×D11—44no—
248C22×C4×D4—111no—
249C2×#432—111no—
250C2×C4×M16—111no—
251#1490—111no—
252#1490—111no—
253#1490—114no—
254#1490—111no—
255#1490D1111yescharacteristic, direct product factor
256C2×D4⋊C8—114no—
257C23×C11—24no—
258C23×C11—22no—
259C23×C11—42no—
260C23×C11—42no—
261C23×C11C2×C22⋊C411yescharacteristic
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—24no—
265C22×D11—28no—
266C22×D11—22no—
267C22×D11—28no—
268C22×D11—44no—
269C22×D11—432no—
270C22×D11—42no—
271C22×D11—42no—
272C22×D11—44no—
273C22×D11—44no—
274C22×D11—44no—
275C22×D11#10414yes—
276C22×D11C2×C22⋊C411yescharacteristic
277C22×D11C2×C22⋊C411yescharacteristic
278D4×C11—24no—
279D4×C11—22no—
280D4×C11C2×M1614yescomplemented
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—44no—
286C2×C4×C11—42no—
287C2×C4×C11—44no—
288C2×C4×C11C2×C22⋊C411yescharacteristic
289C2×C4×C11C2×C22⋊C411yescharacteristic
290C2×C4×C11C2×C22⋊C411yescharacteristic
291C2×C4×C11C23×C411yescharacteristic
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C22×D411yescharacteristic
294C22⋊D11—28no—
295C22⋊D11—28no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—44no—
301C2×Dic11—42no—
302C2×Dic11—44no—
303C2×Dic11C2×C22⋊C411yescharacteristic
304C2×Dic11C2×C22⋊C411yescharacteristic
305C2×Dic11C2×C22⋊C411yescharacteristic
306C2×Dic11C2×C22⋊C411yescharacteristic
307C2×Dic11C2×C22⋊C411yescharacteristic
308C2×Dic11C2×C22⋊C411yescharacteristic
309D44—24no—
310D44—22no—
311D44C2×M1614yescomplemented
312C4×D11—22no—
313C4×D11—22no—
314C4×D11—22no—
315C4×D11—22no—
316C4×D11—22no—
317C4×D11—22no—
318C4×D11—22no—
319C4×D11—22no—
320C4×D11—22no—
321C4×D11—22no—
322C4×D11—44no—
323C4×D11—44no—
324C4×D11—44no—
325C4×D11—44no—
326C4×D11—44no—
327C4×D11—44no—
328C4×D11C2×M1614yes—
329C4×D11AGL(1,ℤ/8)14yes—
330C8×C11—24no—
331C8×C11—42no—
332C11⋊C8—24no—
333C11⋊C8—42no—
334C23×D4—111no—
335C24×C4—221no—
336C22×M16—221no—
337C2×C4×D4—111no—
338C2×C4×D4—112no—
339C2×C4×D4—112no—
340C2×C4×D4—112no—
341C2×C4×D4—112no—
342C2×C4×D4—111no—
343C2×C4×D4—111no—
344C2×C4×D4—221no—
345C2×C4×D4—221no—
346C2×C4×D4—221no—
347C2×C4×D4—221no—
348C2×C4×D4—221no—
349C2×C4×D4—221no—
350C2×C4×D4C2×D1111yescharacteristic
351C22×C4⋊C4—111no—
352C22×C22⋊C4—221no—
353C22×C42—111no—
354#432—111no—
355#432—112no—
356#432—221no—
357#432—221no—
358#432C2×D1111yescharacteristic, complemented
359C2×C4⋊C8—112no—
360C2×C22⋊C8—221no—
361C4×M16—111no—
362C4×M16—112no—
363C4×M16—221no—
364C4×M16—221no—
365C4×M16C2×D1111yescharacteristic, complemented
366C2×#97—221no—
367C2×#97—221no—
368C2×C4×C8—112no—
369D4⋊C8—114no—
370D4⋊C8—114no—
371D4⋊C8—114no—
372D4⋊C8C2×D1114yescomplemented
373C22×C11—21no—
374C22×C11—21no—
375C22×C11—24no—
376C22×C11—48no—
377C22×C11—42no—
378C22×C11—42no—
379C22×C11C2×#10412yes—
380C22×C11C22×C22⋊C411yescharacteristic
381C2×D11—21no—
382C2×D11—21no—
383C2×D11—28no—
384C2×D11—24no—
385C2×D11—416no—
386C2×D11—48no—
387C2×D11—42no—
388C2×D11—42no—
389C2×D11—416no—
390C2×D11#40712yes—
391C2×D11#41812yes—
392C2×D11C2×#10412yes—
393C2×D11C2×#10412yes—
394C4×C11—21no—
395C4×C11—21no—
396C4×C11—21no—
397C4×C11—21no—
398C4×C11—42no—
399C4×C11C22×M1612yes—
400C4×C11C2×AGL(1,ℤ/8)12yes—
401Dic11—21no—
402Dic11—21no—
403Dic11—21no—
404Dic11—21no—
405Dic11—42no—
406Dic11#40712yes—
407Dic11#41812yes—
408C25—221no—
409C22×D4—112no—
410C22×D4—112no—
411C22×D4—111no—
412C22×D4—221no—
413C22×D4—221no—
414C22×D4—221no—
415C22×D4—228no—
416C22×D4C4×D1111yescharacteristic
417C23×C4—21no—
418C23×C4—111no—
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—221no—
422C23×C4—222no—
423C23×C4—222no—
424C23×C4—222no—
425C23×C4—222no—
426C23×C4—221no—
427C23×C4—221no—
428C23×C4—221no—
429C23×C4—448no—
430C2×M16—21no—
431C2×M16—222no—
432C2×M16—228no—
433C2×M16—221no—
434C22×C8—222no—
435C22×C8—222no—
436C4×D4—21no—
437C4×D4—21no—
438C4×D4—112no—
439C4×D4—112no—
440C4×D4—112no—
441C4×D4—112no—
442C4×D4—112no—
443C4×D4—112no—
444C4×D4—222no—
445C4×D4—222no—
446C4×D4—222no—
447C4×D4—222no—
448C4×D4—221no—
449C4×D4—221no—
450C4×D4—222no—
451C4×D4—222no—
452C4×D4—222no—
453C4×D4—222no—
454C4×D4—221no—
455C4×D4—221no—
456C4×D4—221no—
457C4×D4—221no—
458C4×D4C4×D1112yes—
459C4×D4C22×D1112yes—
460C2×C4⋊C4—111no—
461C2×C4⋊C4—112no—
462C2×C4⋊C4—112no—
463C2×C4⋊C4—221no—
464C2×C4⋊C4—221no—
465C2×C4⋊C4—221no—
466C2×C4⋊C4C4×D1111yescharacteristic
467C2×C22⋊C4—21no—
468C2×C22⋊C4—222no—
469C2×C22⋊C4—222no—
470C2×C22⋊C4—222no—
471C2×C22⋊C4—222no—
472C2×C22⋊C4—221no—
473C2×C22⋊C4—221no—
474C2×C22⋊C4—221no—
475C2×C42—111no—
476C2×C42—111no—
477C2×C42—111no—
478C2×C42—111no—
479C2×C42—111no—
480C2×C42—111no—
481C2×C42—111no—
482C2×C42—111no—
483C2×C42—111no—
484C2×C42—111no—
485C2×C42—111no—
486C2×C42C22×D1111yescharacteristic
487C4⋊C8—112no—
488C4⋊C8—222no—
489C4⋊C8C22×D1112yescomplemented
490C22⋊C8—21no—
491C22⋊C8—222no—
492C22⋊C8—221no—
493#97—21no—
494#97—21no—
495#97—222no—
496#97—222no—
497#97—221no—
498#97—221no—
499C4×C8—112no—
500C4×C8—222no—
501C4×C8C22×D1112yescomplemented
502C2×C11—22no—
503C2×C11—44no—
504C2×C11C2×#40711yescharacteristic
505C2×C11C2×#41811yescharacteristic
506C2×C11C22×#10411yescharacteristic
507D11—22no—
508D11—44no—
509D11#149014yesdirect product factor
510C24—21no—
511C24—111no—
512C24—222no—
513C24—222no—
514C24—228no—
515C24—221no—
516C24—444no—
517C24—444no—
518C2×D4—24no—
519C2×D4—21no—
520C2×D4—118no—
521C2×D4—112no—
522C2×D4—224no—
523C2×D4—224no—
524C2×D4—222no—
525C2×D4—222no—
526C2×D4—224no—
527C2×D4—228no—
528C2×D4—228no—
529C2×D4—228no—
530C2×D4—224no—
531C2×D4—221no—
532C2×D4C2×C4×D1112yes—
533C22×C4—21no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—44no—
537C22×C4—111no—
538C22×C4—111no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—111no—
543C22×C4—111no—
544C22×C4—111no—
545C22×C4—111no—
546C22×C4—111no—
547C22×C4—111no—
548C22×C4—111no—
549C22×C4—111no—
550C22×C4—111no—
551C22×C4—111no—
552C22×C4—224no—
553C22×C4—224no—
554C22×C4—222no—
555C22×C4—222no—
556C22×C4—224no—
557C22×C4—222no—
558C22×C4—222no—
559C22×C4—222no—
560C22×C4—222no—
561C22×C4—221no—
562C22×C4—222no—
563C22×C4—222no—
564C22×C4—444no—
565C22×C4—448no—
566C22×C4—448no—
567C22×C4—448no—
568C22×C4—444no—
569C22×C4—448no—
570C22×C4—444no—
571C22×C4—444no—
572C22×C4C2×C4×D1111yescharacteristic
573C22×C4D4×D1111yescharacteristic
574C22×C4D4×D1111yescharacteristic
575M16—24no—
576M16—228no—
577M16—224no—
578C2×C8—22no—
579C2×C8—22no—
580C2×C8—228no—
581C2×C8—222no—
582C2×C8—222no—
583C2×C8—444no—
584C4⋊C4—21no—
585C4⋊C4—112no—
586C4⋊C4—222no—
587C4⋊C4—222no—
588C4⋊C4—221no—
589C4⋊C4C2×C4×D1112yes—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—222no—
593C22⋊C4—222no—
594C22⋊C4—222no—
595C22⋊C4—222no—
596C22⋊C4—222no—
597C22⋊C4—222no—
598C42—111no—
599C42—111no—
600C42—111no—
601C42—111no—
602C42—111no—
603C42—111no—
604C42—111no—
605C42—111no—
606C42—111no—
607C42—111no—
608C42—111no—
609C42—111no—
610C42C2×C4×D1111yescharacteristic
611C42D4×D1111yescharacteristic
612C42D4×D1111yescharacteristic
613C42C23×D1111yescharacteristic
614C11C2×#149011yescharacteristic, complemented, Sylow
615C23—24no—
616C23—22no—
617C23—42no—
618C23—42no—
619C23—111no—
620C23—111no—
621C23—114no—
622C23—222no—
623C23—222no—
624C23—228no—
625C23—224no—
626C23—228no—
627C23—222no—
628C23—442no—
629C23—444no—
630C23—444no—
631C23—444no—
632C23—444no—
633C23—4432no—
634C23—442no—
635C23C22⋊C4×D1111yescharacteristic
636D4—24no—
637D4—22no—
638D4—114no—
639D4—224no—
640D4—228no—
641D4—228no—
642D4—222no—
643D4M16×D1114yescomplemented
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—44no—
651C2×C4—111no—
652C2×C4—111no—
653C2×C4—114no—
654C2×C4—114no—
655C2×C4—111no—
656C2×C4—111no—
657C2×C4—111no—
658C2×C4—111no—
659C2×C4—222no—
660C2×C4—222no—
661C2×C4—222no—
662C2×C4—222no—
663C2×C4—222no—
664C2×C4—222no—
665C2×C4—222no—
666C2×C4—222no—
667C2×C4—222no—
668C2×C4—222no—
669C2×C4—222no—
670C2×C4—222no—
671C2×C4—222no—
672C2×C4—222no—
673C2×C4—444no—
674C2×C4—444no—
675C2×C4—444no—
676C2×C4—444no—
677C2×C4—444no—
678C2×C4—444no—
679C2×C4—444no—
680C2×C4—442no—
681C2×C4—444no—
682C2×C4C22⋊C4×D1111yescharacteristic
683C2×C4C22⋊C4×D1111yescharacteristic
684C2×C4C22⋊C4×D1111yescharacteristic
685C2×C4C22×C4×D1111yescharacteristic
686C2×C4C2×D4×D1111yescharacteristic
687C2×C4C2×D4×D1111yescharacteristic
688C8—24no—
689C8—42no—
690C8—224no—
691C8—442no—
692C22—21no—
693C22—21no—
694C22—24no—
695C22—48no—
696C22—42no—
697C22—42no—
698C22—112no—
699C22—112no—
700C22—112no—
701C22—112no—
702C22—228no—
703C22—221no—
704C22—221no—
705C22—224no—
706C22—448no—
707C22—4416no—
708C22—4416no—
709C22—442no—
710C22—442no—
711C22D11×#10412yes—
712C22C2×C22⋊C4×D1111yescharacteristic
713C4—21no—
714C4—21no—
715C4—21no—
716C4—21no—
717C4—42no—
718C4—112no—
719C4—112no—
720C4—221no—
721C4—221no—
722C4—221no—
723C4—221no—
724C4—442no—
725C4C2×M16×D1112yes—
726C4D11×AGL(1,ℤ/8)12yes—
727C2—22no—
728C2—44no—
729C2—114no—
730C2—222no—
731C2—444no—
732C2D11×#40711yescharacteristic
733C2D11×#41811yescharacteristic
734C2C2×D11×#10411yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC42C23×D11
FittingC11×#1490C2
socleC22×C11C22×C22⋊C4
prime radicalC22×D4×D11C4
cosocleC42×C11C24
hypercenter#1490D11
hypocenterC11C2×#1490
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1490

Complements

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

NH ≅ G/Ntype
2. D11×#432C2semidirect
3. C4×M16×D11C2semidirect
4. #13067060C2semidirect
5. #13067059C2semidirect
6. #13067058C2semidirect
7. #13067057C2semidirect
8. D11×D4⋊C8C2semidirect
9. C11×#1490C2semidirect
30. C11×#432C22semidirect
31. C4×C11×M16C22semidirect
33. #10622539C22semidirect
34. C4×#4318C22semidirect
35. #10622448C22semidirect
36. D11×C4⋊C8C22semidirect
43. C4×#4313C22semidirect
44. C4×C8×D11C22semidirect
45. C11×D4⋊C8C22semidirect
46. D4⋊(C11⋊C8)C22semidirect
47. #10622121C22semidirect
48. #10622097C22semidirect
128. C11×C4⋊C8C23semidirect
132. C4×C8×C11C23semidirect
139. C4⋊(C11⋊C8)C23semidirect
142. C4×C11⋊C8C23semidirect
177. D4×D11M16semidirect
255. #1490D11direct (N × H)
280. D4×C11C2×M16semidirect
311. D44C2×M16semidirect
358. #432C2×D11semidirect
365. C4×M16C2×D11semidirect
372. D4⋊C8C2×D11semidirect
489. C4⋊C8C22×D11semidirect
501. C4×C8C22×D11semidirect
509. D11#1490direct (N × H)
614. C11C2×#1490semidirect
643. D4M16×D11semidirect

Maximal subgroups

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

subgroupindex
C2×C4×D4×D112
D11×#4322
C4×M16×D112
#130670602
#130670592
#130670582
#130670572
D11×D4⋊C82
C11×#14902
C2×#149011