Finite Group Databasebeta

← D11×#1926 #14756147

Subgroups — D11×#1926 #14756147

Order 2816.

1454 conjugacy classes of subgroups.

The subgroup lattice has 788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D11×#106C211yesmaximal, characteristic, complemented
2C2×D11×#102C211yesmaximal, characteristic
3C2×D11×#102C211yesmaximal, characteristic
4D11×#390C211yesmaximal, characteristic
5C4×C4⋊C4×D11C211yesmaximal, characteristic, complemented
6#13069246C211yesmaximal, characteristic, complemented
7#13069245C211yesmaximal, characteristic, complemented
8#13069244C211yesmaximal, characteristic, complemented
9#13069243C211yesmaximal, characteristic, complemented
10#13069242C211yesmaximal, characteristic, complemented
11#13069241C211yesmaximal, characteristic, complemented
12#13069240C211yesmaximal, characteristic, complemented
13D11×#340C211yesmaximal, characteristic, complemented
14D11×#336C211yesmaximal, characteristic, complemented
15C11×#1926C211yesmaximal, characteristic, complemented
16C22×D4×D11C2211yescharacteristic
17C22×C8×D11C2211yescharacteristic
18C22×C8×D11C2211yescharacteristic
19C2×C4⋊C4×D11C2211yescharacteristic
20C2×C4⋊C4×D11C2211yescharacteristic
21C2×C4⋊C4×D11C2211yescharacteristic
22C2×C22⋊C4×D11—21no—
23C2×C22⋊C4×D11—21no—
24C2×C42×D11—21no—
25C2×C42×D11C2211yescharacteristic
26C2×C11×#106C2211yescharacteristic, complemented
27C2×C11×#102C2211yescharacteristic
28C2×C11×#102C2211yescharacteristic
29C11×#390C2211yescharacteristic
30C4×C11×C4⋊C4C2211yescharacteristic, complemented
31#10622834C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66885C2211yescharacteristic
35C2×#66885C2211yescharacteristic
36C2×#66881C2211yescharacteristic, complemented
37#10622601C2211yescharacteristic
38C4⋊C4×Dic11C2211yescharacteristic, complemented
39C4⋊C4×Dic11C2211yescharacteristic, complemented
40C2×#66873C2211yescharacteristic
41C2×#66873C2211yescharacteristic
42C2×#66872C2211yescharacteristic, complemented
43C2×#66872C2211yescharacteristic, complemented
44#10622570—21no—
45#10622570—21no—
46#10622552C2211yescharacteristic
47C4×C4⋊Dic11C2211yescharacteristic, complemented
48C4×Dic11⋊C4—21no—
49D11×#106—24no—
50D11×#102—24no—
51D11×#102C418yescomplemented
52D11×#95—21no—
53#10622262—21no—
54C11×#340C2211yescharacteristic, complemented
55C11×#336C2211yescharacteristic, complemented
56#10622189C2211yescharacteristic, complemented
57#10622188C2211yescharacteristic, complemented
58#10622188C2211yescharacteristic, complemented
59#10622167C2211yescharacteristic, complemented
60#10622167C2211yescharacteristic, complemented
61#10622162C2211yescharacteristic, complemented
62C24×D11—21no—
63C22×D4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C2×D4×D11—22no—
66C2×D4×D11—22no—
67C2×D4×D11—22no—
68C2×D4×D11—22no—
69C2×D4×D11—22no—
70C2×D4×D11C2×C414yes—
71C22×D44C2311yescharacteristic
72C22×C4×D11—21no—
73C22×C4×D11—21no—
74C22×C4×D11—21no—
75C22×C4×D11D411yescharacteristic
76C22×C4×D11D411yescharacteristic
77C22×C4×D11C2311yescharacteristic
78C22×C8×C11C2311yescharacteristic
79C22×C8×C11C2311yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C42×C11—21no—
86C2×C42×C11C2311yescharacteristic
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×(C2×D11)⋊C4—21no—
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11D411yescharacteristic
103C2×C4×Dic11D411yescharacteristic
104C2×C4×Dic11C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C2×C8×D11—22no—
108C2×C8×D11—22no—
109C2×C8×D11—22no—
110C2×C8×D11—22no—
111C2×C8×D11—22no—
112C2×C8×D11C2×C414yes—
113C4⋊C4×D11—22no—
114C4⋊C4×D11—22no—
115C4⋊C4×D11—22no—
116C4⋊C4×D11—22no—
117C4⋊C4×D11C2×C414yes—
118C4⋊C4×D11D414yes—
119C22⋊C4×D11—44no—
120C22⋊C4×D11—44no—
121C42×D11—22no—
122C42×D11—22no—
123C42×D11—44no—
124C11×#106—22no—
125C11×#102—22no—
126C11×#102C2×C414yescomplemented
127C11×#95—21no—
128#66896—22no—
129#66896C2×C414yescomplemented
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133#66885—22no—
134#66885C2×C414yescomplemented
135#66881—22no—
136#66873—22no—
137#66873C2×C414yescomplemented
138#66872—22no—
139#66872—22no—
140C2×#1926—111nomaximal, Sylow
141C24×C11—21no—
142C23×D11—21no—
143C23×D11—24no—
144C23×D11—42no—
145C23×D11—42no—
146C23×D11—42no—
147C23×D11—42no—
148C23×D11—42no—
149C23×D11—42no—
150C23×D11C2×D411yescharacteristic
151C2×D4×C11—21no—
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11C22×C412yes—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2411yescharacteristic
163C2×C22⋊D11—24no—
164C2×C22⋊D11—42no—
165C2×C22⋊D11—42no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172D4×D11—28no—
173D4×D11—28no—
174D4×D11—44no—
175D4×D11—44no—
176C2×D44—21no—
177C2×D44—21no—
178C2×D44—21no—
179C2×D44—21no—
180C2×D44—21no—
181C2×D44C22×C412yes—
182C2×C4×D11—24no—
183C2×C4×D11—24no—
184C2×C4×D11—22no—
185C2×C4×D11—22no—
186C2×C4×D11—22no—
187C2×C4×D11—22no—
188C2×C4×D11—22no—
189C2×C4×D11—42no—
190C2×C4×D11—42no—
191C2×C4×D11—42no—
192C2×C4×D11—42no—
193C2×C4×D11—42no—
194C2×C4×D11—42no—
195C2×C4×D11—42no—
196C2×C4×D11SD1614yes—
197C2×C4×D11C22×C412yes—
198C2×C4×D11C2×D412yes—
199C2×C4×D11#4112yes—
200C2×C4×D11#4112yes—
201C2×C4×D11#4112yes—
202C2×C4×D11#4112yes—
203C2×C8×C11—21no—
204C2×C8×C11—21no—
205C2×C8×C11—21no—
206C2×C8×C11—21no—
207C2×C8×C11—21no—
208C2×C8×C11C22×C412yes—
209C11×C4⋊C4—21no—
210C11×C4⋊C4—21no—
211C11×C4⋊C4—21no—
212C11×C4⋊C4—21no—
213C11×C4⋊C4C22×C412yes—
214C11×C4⋊C4C2×D412yes—
215C11×C22⋊C4—42no—
216C11×C22⋊C4—42no—
217C42×C11—21no—
218C42×C11—21no—
219C42×C11—42no—
220C22⋊Dic11—42no—
221C22⋊Dic11—42no—
222(C2×D11)⋊C4—42no—
223(C2×D11)⋊C4—42no—
224(C2×D11)⋊C4—42no—
225(C2×D11)⋊C4—42no—
226C4⋊Dic11—21no—
227C4⋊Dic11—21no—
228C4⋊Dic11—21no—
229C4⋊Dic11—21no—
230C4⋊Dic11C22×C412yes—
231C4⋊Dic11C2×D412yes—
232Dic11⋊C4—24no—
233Dic11⋊C4—24no—
234Dic11⋊C4—42no—
235C4×Dic11—22no—
236C4×Dic11—22no—
237C4×Dic11—21no—
238C4×Dic11—21no—
239C4×Dic11—42no—
240C4×Dic11—42no—
241C4×Dic11—42no—
242C2×C11⋊C8—21no—
243C2×C11⋊C8—21no—
244C2×C11⋊C8—21no—
245C2×C11⋊C8—21no—
246C2×C11⋊C8—21no—
247C2×C11⋊C8C22×C412yes—
248C8×D11—28no—
249C8×D11—44no—
250C22×#106—111no—
251C22×#102—111no—
252C22×#102—111no—
253C2×#390—111no—
254C2×C4×C4⋊C4—111no—
255#1926—111no—
256#1926—111no—
257#1926—111no—
258#1926—111no—
259#1926—111no—
260#1926—111no—
261#1926—111no—
262#1926D1111yescharacteristic, direct product factor
263C2×#340—111no—
264C2×#336—111no—
265C23×C11—22no—
266C23×C11—41no—
267C23×C11—41no—
268C23×C11—41no—
269C23×C11—41no—
270C23×C11—41no—
271C23×C11—41no—
272C23×C11C22×D411yescharacteristic
273C22×D11—22no—
274C22×D11—41no—
275C22×D11—41no—
276C22×D11—41no—
277C22×D11—41no—
278C22×D11—41no—
279C22×D11—41no—
280C22×D11—48no—
281C22×D11—48no—
282C22×D11—48no—
283C22×D11—84no—
284C22×D11—84no—
285C22×D11—84no—
286C22×D11—84no—
287C22×D11C4×D412yes—
288C22×D11#12112yes—
289C22×D11#12312yes—
290C22×D11C2×SD1612yes—
291C22×D11#13512yes—
292C22×D11AGL(1,ℤ/8)12yes—
293C22×D11AGL(1,ℤ/8)12yes—
294D4×C11—22no—
295D4×C11—22no—
296D4×C11—41no—
297D4×C11—41no—
298C2×C4×C11—21no—
299C2×C4×C11—21no—
300C2×C4×C11—22no—
301C2×C4×C11—22no—
302C2×C4×C11—21no—
303C2×C4×C11—21no—
304C2×C4×C11—21no—
305C2×C4×C11—41no—
306C2×C4×C11—41no—
307C2×C4×C11—41no—
308C2×C4×C11—41no—
309C2×C4×C11—41no—
310C2×C4×C11—41no—
311C2×C4×C11—41no—
312C2×C4×C11C2×SD1612yes—
313C2×C4×C11C23×C411yescharacteristic
314C2×C4×C11C22×D411yescharacteristic
315C2×C4×C11C2×#4111yescharacteristic
316C2×C4×C11C2×#4111yescharacteristic
317C2×C4×C11C2×#4111yescharacteristic
318C2×C4×C11C2×#4111yescharacteristic
319C22⋊D11—48no—
320C2×Dic11—21no—
321C2×Dic11—21no—
322C2×Dic11—22no—
323C2×Dic11—22no—
324C2×Dic11—21no—
325C2×Dic11—21no—
326C2×Dic11—21no—
327C2×Dic11—41no—
328C2×Dic11—41no—
329C2×Dic11—41no—
330C2×Dic11—41no—
331C2×Dic11—41no—
332C2×Dic11—41no—
333C2×Dic11—41no—
334C2×Dic11C4×D412yes—
335C2×Dic11#12112yes—
336C2×Dic11#12312yes—
337C2×Dic11C2×SD1612yes—
338D44—22no—
339D44—22no—
340D44—41no—
341D44—41no—
342C4×D11—28no—
343C4×D11—48no—
344C4×D11—48no—
345C4×D11—44no—
346C4×D11—84no—
347C4×D11#11714yes—
348C4×D11C4×D414yes—
349C4×D11#12414yes—
350C4×D11#12614yes—
351C8×C11—22no—
352C8×C11—41no—
353C11⋊C8—22no—
354C11⋊C8—41no—
355C23×D4—111no—
356C23×C8—111no—
357C23×C8—111no—
358C22×C4⋊C4—111no—
359C22×C4⋊C4—111no—
360C22×C4⋊C4—111no—
361C22×C22⋊C4—221no—
362C22×C22⋊C4—221no—
363C22×C42—111no—
364C22×C42—221no—
365C2×#106—111no—
366C2×#106—111no—
367C2×#106—111no—
368C2×#106—224no—
369C2×#106C2×D1111yescharacteristic, complemented
370C2×#102—111no—
371C2×#102—111no—
372C2×#102—111no—
373C2×#102—118no—
374C2×#102—111no—
375C2×#102—111no—
376C2×#102—111no—
377C2×#102—224no—
378C2×#102C2×D1111yescharacteristic
379C2×#102C2×D1111yescharacteristic
380#390—111no—
381#390—111no—
382#390—111no—
383#390—221no—
384#390—221no—
385#390C2×D1111yescharacteristic
386C4×C4⋊C4—111no—
387C4×C4⋊C4—111no—
388C4×C4⋊C4—111no—
389C4×C4⋊C4—221no—
390C4×C4⋊C4—221no—
391C4×C4⋊C4C2×D1111yescharacteristic, complemented
392C2×#95—221no—
393#340—111no—
394#340—111no—
395#340—111no—
396#340C2×D1111yescharacteristic, complemented
397#336—111no—
398#336—111no—
399#336—111no—
400#336C2×D1111yescharacteristic, complemented
401C22×C11—42no—
402C22×C11—42no—
403C22×C11—42no—
404C22×C11—81no—
405C22×C11—81no—
406C22×C11—81no—
407C22×C11—81no—
408C22×C11C2×C4×D411yescharacteristic
409C22×C11C2×#12111yescharacteristic
410C22×C11C2×#12311yescharacteristic
411C22×C11C22×SD1611yescharacteristic
412C22×C11C2×#13511yescharacteristic
413C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
414C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
415C2×D11—42no—
416C2×D11—42no—
417C2×D11—42no—
418C2×D11—81no—
419C2×D11—81no—
420C2×D11—81no—
421C2×D11—81no—
422C2×D11—816no—
423C2×D11#38814yes—
424C2×D11C4×SD1614yes—
425C2×D11#44214yes—
426C2×D11#46014yes—
427C2×D11#46314yes—
428C2×D11#48114yes—
429C2×D11#48214yes—
430C4×C11—22no—
431C4×C11—41no—
432C4×C11—42no—
433C4×C11—42no—
434C4×C11—81no—
435C4×C11C2×#11711yescharacteristic
436C4×C11C2×C4×D411yescharacteristic
437C4×C11C2×#12411yescharacteristic
438C4×C11C2×#12611yescharacteristic
439Dic11—22no—
440Dic11—41no—
441Dic11—42no—
442Dic11—42no—
443Dic11—81no—
444Dic11#38814yes—
445C25—221no—
446C22×D4—114no—
447C22×D4—111no—
448C22×D4—222no—
449C22×D4—222no—
450C22×D4—222no—
451C22×D4—222no—
452C22×D4—222no—
453C22×D4—221no—
454C22×D4C22×D1111yescharacteristic
455C23×C4—111no—
456C23×C4—111no—
457C23×C4—111no—
458C23×C4—221no—
459C23×C4—221no—
460C23×C4—221no—
461C22×C8—111no—
462C22×C8—114no—
463C22×C8—111no—
464C22×C8—222no—
465C22×C8—222no—
466C22×C8—222no—
467C22×C8—222no—
468C22×C8—222no—
469C22×C8C22×D1111yescharacteristic
470C22×C8C22×D1111yescharacteristic
471C2×C4⋊C4—111no—
472C2×C4⋊C4—111no—
473C2×C4⋊C4—114no—
474C2×C4⋊C4—114no—
475C2×C4⋊C4—111no—
476C2×C4⋊C4—222no—
477C2×C4⋊C4—222no—
478C2×C4⋊C4—222no—
479C2×C4⋊C4—222no—
480C2×C4⋊C4—221no—
481C2×C4⋊C4—221no—
482C2×C4⋊C4—221no—
483C2×C4⋊C4C22×D1111yescharacteristic
484C2×C4⋊C4C22×D1111yescharacteristic
485C2×C4⋊C4C22×D1111yescharacteristic
486C2×C22⋊C4—21no—
487C2×C22⋊C4—21no—
488C2×C22⋊C4—221no—
489C2×C22⋊C4—221no—
490C2×C22⋊C4—221no—
491C2×C22⋊C4—221no—
492C2×C22⋊C4—221no—
493C2×C22⋊C4—221no—
494C2×C22⋊C4—444no—
495C2×C22⋊C4—444no—
496C2×C42—21no—
497C2×C42—111no—
498C2×C42—111no—
499C2×C42—111no—
500C2×C42—222no—
501C2×C42—222no—
502C2×C42—221no—
503C2×C42—221no—
504C2×C42—221no—
505C2×C42—444no—
506C2×C42C22×D1111yescharacteristic
507#106—22no—
508#106—222no—
509#106—222no—
510#106—222no—
511#102—22no—
512#102—114no—
513#102—114no—
514#102—114no—
515#102—222no—
516#102—222no—
517#102—222no—
518#102C4×D1114yescomplemented
519#95—21no—
520#95—221no—
521#95—221no—
522#95—221no—
523C2×C11—82no—
524C2×C11C2×#38811yescharacteristic
525C2×C11C2×C4×SD1611yescharacteristic
526C2×C11C2×#44211yescharacteristic
527C2×C11C2×#46311yescharacteristic
528C2×C11C2×#46011yescharacteristic
529C2×C11C2×#48211yescharacteristic
530C2×C11C2×#48111yescharacteristic
531D11—82no—
532D11#192618yesdirect product factor
533C24—21no—
534C24—111no—
535C24—224no—
536C24—221no—
537C24—442no—
538C24—442no—
539C24—442no—
540C24—442no—
541C24—442no—
542C24—442no—
543C2×D4—21no—
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—21no—
548C2×D4—112no—
549C2×D4—228no—
550C2×D4—228no—
551C2×D4—224no—
552C2×D4—221no—
553C2×D4—221no—
554C2×D4—221no—
555C2×D4—221no—
556C2×D4—221no—
557C2×D4—444no—
558C2×D4—444no—
559C2×D4—442no—
560C2×D4—442no—
561C2×D4C2×C4×D1112yes—
562C22×C4—21no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—111no—
566C22×C4—112no—
567C22×C4—112no—
568C22×C4—112no—
569C22×C4—112no—
570C22×C4—112no—
571C22×C4—112no—
572C22×C4—111no—
573C22×C4—114no—
574C22×C4—111no—
575C22×C4—222no—
576C22×C4—222no—
577C22×C4—222no—
578C22×C4—222no—
579C22×C4—224no—
580C22×C4—224no—
581C22×C4—222no—
582C22×C4—221no—
583C22×C4—221no—
584C22×C4—221no—
585C22×C4—442no—
586C22×C4—442no—
587C22×C4—442no—
588C22×C4—442no—
589C22×C4—442no—
590C22×C4—442no—
591C22×C4—442no—
592C22×C4D4×D1111yescharacteristic
593C22×C4D4×D1111yescharacteristic
594C22×C4C23×D1111yescharacteristic
595C2×C8—21no—
596C2×C8—21no—
597C2×C8—21no—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—112no—
601C2×C8—228no—
602C2×C8—221no—
603C2×C8—221no—
604C2×C8—221no—
605C2×C8—221no—
606C2×C8—221no—
607C2×C8—444no—
608C2×C8C2×C4×D1112yes—
609C4⋊C4—21no—
610C4⋊C4—21no—
611C4⋊C4—21no—
612C4⋊C4—21no—
613C4⋊C4—112no—
614C4⋊C4—112no—
615C4⋊C4—224no—
616C4⋊C4—224no—
617C4⋊C4—221no—
618C4⋊C4—221no—
619C4⋊C4—221no—
620C4⋊C4—221no—
621C4⋊C4—442no—
622C4⋊C4C2×C4×D1112yes—
623C4⋊C4D4×D1112yes—
624C22⋊C4—42no—
625C22⋊C4—42no—
626C22⋊C4—442no—
627C22⋊C4—442no—
628C22⋊C4—442no—
629C22⋊C4—442no—
630C22⋊C4—442no—
631C22⋊C4—442no—
632C42—21no—
633C42—21no—
634C42—42no—
635C42—222no—
636C42—222no—
637C42—221no—
638C42—221no—
639C42—442no—
640C42—442no—
641C42—442no—
642C11C2×#192611yescharacteristic, complemented, Sylow
643C23—22no—
644C23—41no—
645C23—41no—
646C23—41no—
647C23—41no—
648C23—41no—
649C23—41no—
650C23—112no—
651C23—112no—
652C23—112no—
653C23—112no—
654C23—112no—
655C23—112no—
656C23—112no—
657C23—222no—
658C23—448no—
659C23—448no—
660C23—448no—
661C23—441no—
662C23—441no—
663C23—441no—
664C23—441no—
665C23—441no—
666C23—441no—
667C23—884no—
668C23—884no—
669C23—884no—
670C23—884no—
671C23C2×D4×D1111yescharacteristic
672D4—22no—
673D4—22no—
674D4—41no—
675D4—41no—
676D4—222no—
677D4—222no—
678D4—448no—
679D4—441no—
680D4—441no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—21no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—112no—
696C2×C4—112no—
697C2×C4—112no—
698C2×C4—114no—
699C2×C4—114no—
700C2×C4—114no—
701C2×C4—114no—
702C2×C4—112no—
703C2×C4—228no—
704C2×C4—221no—
705C2×C4—221no—
706C2×C4—221no—
707C2×C4—221no—
708C2×C4—222no—
709C2×C4—222no—
710C2×C4—221no—
711C2×C4—444no—
712C2×C4—448no—
713C2×C4—448no—
714C2×C4—441no—
715C2×C4—441no—
716C2×C4—441no—
717C2×C4—441no—
718C2×C4—441no—
719C2×C4—441no—
720C2×C4—441no—
721C2×C4—884no—
722C2×C4SD16×D1112yes—
723C2×C4C22×C4×D1111yescharacteristic
724C2×C4C2×D4×D1111yescharacteristic
725C2×C4#41×D1111yescharacteristic
726C2×C4#41×D1111yescharacteristic
727C2×C4#41×D1111yescharacteristic
728C2×C4#41×D1111yescharacteristic
729C8—22no—
730C8—41no—
731C8—222no—
732C8—441no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—114no—
741C22—114no—
742C22—114no—
743C22—114no—
744C22—114no—
745C22—114no—
746C22—114no—
747C22—442no—
748C22—442no—
749C22—442no—
750C22—8816no—
751C22—881no—
752C22—881no—
753C22—881no—
754C22—881no—
755C22C4×D4×D1111yescharacteristic
756C22D11×#12111yescharacteristic
757C22D11×#12311yescharacteristic
758C22C2×SD16×D1111yescharacteristic
759C22D11×#13511yescharacteristic
760C22D11×AGL(1,ℤ/8)11yescharacteristic
761C22D11×AGL(1,ℤ/8)11yescharacteristic
762C4—22no—
763C4—42no—
764C4—42no—
765C4—41no—
766C4—81no—
767C4—114no—
768C4—222no—
769C4—442no—
770C4—442no—
771C4—441no—
772C4—881no—
773C4D11×#11711yescharacteristic
774C4C4×D4×D1111yescharacteristic
775C4D11×#12411yescharacteristic
776C4D11×#12611yescharacteristic
777C2—82no—
778C2—118no—
779C2—882no—
780C2D11×#38811yescharacteristic
781C2C4×SD16×D1111yescharacteristic
782C2D11×#44211yescharacteristic
783C2D11×#46311yescharacteristic
784C2D11×#46011yescharacteristic
785C2D11×#48211yescharacteristic
786C2D11×#48111yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1926C2
socleC23×C11C22×D4
prime radicalC22×D4×D11C22
cosocleC22×C4×C11C24
hypercenter#1926D11
hypocenterC11C2×#1926
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1926

Complements

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

NH ≅ G/Ntype
1. C2×D11×#106C2semidirect
5. C4×C4⋊C4×D11C2semidirect
6. #13069246C2semidirect
7. #13069245C2semidirect
8. #13069244C2semidirect
9. #13069243C2semidirect
10. #13069242C2semidirect
11. #13069241C2semidirect
12. #13069240C2semidirect
13. D11×#340C2semidirect
14. D11×#336C2semidirect
15. C11×#1926C2semidirect
26. C2×C11×#106C22semidirect
30. C4×C11×C4⋊C4C22semidirect
36. C2×#66881C22semidirect
38. C4⋊C4×Dic11C22semidirect
39. C4⋊C4×Dic11C22semidirect
42. C2×#66872C22semidirect
43. C2×#66872C22semidirect
47. C4×C4⋊Dic11C22semidirect
51. D11×#102C4semidirect
54. C11×#340C22semidirect
55. C11×#336C22semidirect
56. #10622189C22semidirect
57. #10622188C22semidirect
58. #10622188C22semidirect
59. #10622167C22semidirect
60. #10622167C22semidirect
61. #10622162C22semidirect
126. C11×#102C2×C4semidirect
129. #66896C2×C4semidirect
134. #66885C2×C4semidirect
137. #66873C2×C4semidirect
262. #1926D11direct (N × H)
369. C2×#106C2×D11semidirect
391. C4×C4⋊C4C2×D11semidirect
396. #340C2×D11semidirect
400. #336C2×D11semidirect
518. #102C4×D11semidirect
532. D11#1926direct (N × H)
642. C11C2×#1926semidirect

Maximal subgroups

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

subgroupindex
C2×D11×#1062
C2×D11×#1022
D11×#3902
C4×C4⋊C4×D112
#130692462
#130692452
#130692442
#130692432
#130692422
#130692412
#130692402
D11×#3402
D11×#3362
C11×#19262
C2×#192611