Finite Group Databasebeta

← #14719796

Subgroups — #14719796

Order 2816.

1080 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623144C211yesmaximal, characteristic
2#13077643C211yesmaximal, characteristic, complemented
3#13077638C211yesmaximal, characteristic, complemented
4#13066982C212yesmaximal, complemented
5#13066976C211yesmaximal, characteristic, complemented
6#13066966C212yesmaximal, complemented
7#13066965C211yesmaximal, characteristic, complemented
8#13066962C211yesmaximal, characteristic, complemented
9#13066931C212yesmaximal, complemented
10D11×#323C212yesmaximal, complemented
11C11×#1471C211yesmaximal, characteristic, complemented
12C2×C11×#121C2211yescharacteristic
13C2×#66992C411yescharacteristic
14C2×#66991C411yescharacteristic
15C2×#66990C411yescharacteristic
16C2×#66990C411yescharacteristic
17C2×#66989C411yescharacteristic
18C2×#66988C411yescharacteristic
19C2×#66982C2211yescharacteristic
20C2×C4×C22⋊D11C2211yescharacteristic
21#10623144—22no—
22#10623144—22no—
23#10623144—22no—
24#10623144—22no—
25C2×#66951C411yescharacteristic
26C2×#66949C411yescharacteristic
27C2×#66938C2211yescharacteristic
28C2×(C22⋊D11)⋊C4C2211yescharacteristic
29C2×C22⋊C4×D11C2211yescharacteristic
30C2×#66932C2211yescharacteristic
31C11×#407C2211yescharacteristic, complemented
32C2×C11×C22⋊C8C2211yescharacteristic, complemented
33#10622820C2211yescharacteristic, complemented
34C2×C22⋊(C11⋊C8)C2211yescharacteristic, complemented
35#10622740—22no—
36C8×C22⋊D11—22no—
37#10622341—22no—
38(C22⋊D11)⋊C8—22no—
39D11×C22⋊C8C2212yes—
40D11×C22⋊C8C2212yes—
41#10622332C2212yescomplemented
42#10622331C2212yescomplemented
43C11×#323C2212yes—
44C11×#323C2212yescomplemented
45#10622163C2212yes—
46#10622163C2212yescomplemented
47#10622107C2212yescomplemented
48#10622107C2212yescomplemented
49#10622106C2212yes—
50#10622106C2212yes—
51C24×D11C2×C411yescharacteristic
52C22×D4×C11C2×C411yescharacteristic
53C22×D4×C11C2×C411yescharacteristic
54C22×D4×C11C2×C411yescharacteristic
55C23×C4×C11C2311yescharacteristic
56C22×C22⋊D11C2×C411yescharacteristic
57C22×C22⋊D11C2×C411yescharacteristic
58C22×C22⋊D11C2×C411yescharacteristic
59C22×C22⋊D11C2×C411yescharacteristic
60C23×Dic11C2×C411yescharacteristic
61C22×C4×D11C2×C411yescharacteristic
62C22×C4×D11C2311yescharacteristic
63C22×Dic22C2×C411yescharacteristic
64C2×C11×M16—21no—
65C22×C8×C11—21no—
66C11×#121—21no—
67C11×#121—21no—
68C11×#121—21no—
69C11×#121—21no—
70C2×C11×C4⋊C4C2×C411yescharacteristic
71C2×C11×C22⋊C4C2311yescharacteristic
72C2×C11×C22⋊C4C2311yescharacteristic
73C2×C22⋊Dic11C2×C411yescharacteristic
74C2×C22⋊Dic11C2×C411yescharacteristic
75C2×C22⋊Dic11C2×C411yescharacteristic
76C2×C22⋊Dic11C2×C411yescharacteristic
77C2×C22⋊Dic11C2×C411yescharacteristic
78C2×C22⋊Dic11C2×C411yescharacteristic
79#66992—22no—
80#66992—22no—
81#66991—22no—
82#66991—22no—
83#66990—22no—
84#66990—22no—
85#66990—22no—
86#66990—22no—
87#66989—22no—
88#66989—22no—
89#66988—22no—
90#66988—22no—
91#66982—21no—
92#66982—21no—
93#66982—21no—
94#66982—21no—
95C4×C22⋊D11D412yes—
96C4×C22⋊D11D412yes—
97C4×C22⋊D11D412yes—
98C4×C22⋊D11D412yes—
99C2×(C2×D11)⋊C4C2×C411yescharacteristic
100C2×(C2×D11)⋊C4C2×C411yescharacteristic
101C2×(C2×D11)⋊C4C2×C411yescharacteristic
102C2×(C2×D11)⋊C4C2×C411yescharacteristic
103C2×(C2×D11)⋊C4C2×C411yescharacteristic
104C2×(C2×D11)⋊C4C2311yescharacteristic
105C2×C4⋊Dic11C2×C411yescharacteristic
106C2×Dic11⋊C4C2×C411yescharacteristic
107C2×Dic11⋊C4C2×C411yescharacteristic
108C2×Dic11⋊C4C2×C411yescharacteristic
109C2×Dic11⋊C4C2311yescharacteristic
110C2×C4×Dic11C2×C411yescharacteristic
111C2×C4×Dic11C2311yescharacteristic
112C2×#4318—21no—
113C22×C11⋊C8—21no—
114C2×C8×D11—22no—
115C2×C8×D11—22no—
116#66951—22no—
117#66951—22no—
118#66949—22no—
119#66949—22no—
120#66938—22no—
121#66938—22no—
122(C22⋊D11)⋊C4—22no—
123(C22⋊D11)⋊C4—22no—
124C22⋊C4×D11—22no—
125C22⋊C4×D11—22no—
126#66932—22no—
127#66932—22no—
128C11×C22⋊C8—21no—
129C11×C22⋊C8—21no—
130C11×C22⋊C8C2312yes—
131C11×C22⋊C8C2312yes—
132C22⋊(C11⋊C8)—21no—
133C22⋊(C11⋊C8)—21no—
134C22⋊(C11⋊C8)C2312yes—
135C22⋊(C11⋊C8)C2312yes—
136(C2×D11)⋊C8—22no—
137(C2×D11)⋊C8—22no—
138#66879—22no—
139Dic11⋊C8—22no—
140Dic11⋊C8—22no—
141C8×Dic11—22no—
142#17386—111nomaximal, Sylow
143C24×C11C22×C411yescharacteristic
144C24×C11C22×C411yescharacteristic
145C24×C11C22×C411yescharacteristic
146C23×D11—22no—
147C23×D11—24no—
148C23×D11—81no—
149C23×D11—81no—
150C23×D11C22×C411yescharacteristic
151C23×D11C22×C411yescharacteristic
152C2×D4×C11—21no—
153C2×D4×C11—21no—
154C2×D4×C11—21no—
155C2×D4×C11—21no—
156C2×D4×C11—21no—
157C2×D4×C11—21no—
158C2×D4×C11—81no—
159C2×D4×C11—81no—
160C2×D4×C11—81no—
161C22×C4×C11—81no—
162C22×C4×C11C22×C411yescharacteristic
163C22×C4×C11C22×C411yescharacteristic
164C22×C4×C11C22×C411yescharacteristic
165C22×C4×C11C2×D411yescharacteristic
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2411yescharacteristic
170C2×C22⋊D11—22no—
171C2×C22⋊D11—21no—
172C2×C22⋊D11—21no—
173C2×C22⋊D11—22no—
174C2×C22⋊D11—24no—
175C2×C22⋊D11—24no—
176C2×C22⋊D11—81no—
177C2×C22⋊D11—81no—
178C2×C22⋊D11C22⋊C412yes—
179C2×C22⋊D11C22⋊C412yes—
180C22×Dic11—22no—
181C22×Dic11—81no—
182C22×Dic11C22×C411yescharacteristic
183C22×Dic11C22×C411yescharacteristic
184C22×Dic11C22×C411yescharacteristic
185C22×Dic11C22×C411yescharacteristic
186C22×Dic11C22×C411yescharacteristic
187C22×Dic11C22×C411yescharacteristic
188C2×C4×D11—22no—
189C2×C4×D11—81no—
190C2×C4×D11—81no—
191C2×C4×D11C2×D412yes—
192C2×C4×D11C2×D412yes—
193C2×Dic22—22no—
194C2×Dic22—81no—
195C11×M16—81no—
196C2×C8×C11—22no—
197C2×C8×C11—22no—
198C2×C8×C11—81no—
199C11×C4⋊C4—21no—
200C11×C4⋊C4—21no—
201C11×C22⋊C4—21no—
202C11×C22⋊C4—21no—
203C11×C22⋊C4—21no—
204C11×C22⋊C4—21no—
205C22⋊Dic11—22no—
206C22⋊Dic11—22no—
207C22⋊Dic11—22no—
208C22⋊Dic11—22no—
209C22⋊Dic11—21no—
210C22⋊Dic11—21no—
211C22⋊Dic11C22⋊C412yes—
212C22⋊Dic11C22⋊C412yes—
213(C2×D11)⋊C4—22no—
214(C2×D11)⋊C4—22no—
215(C2×D11)⋊C4—22no—
216(C2×D11)⋊C4—21no—
217(C2×D11)⋊C4—21no—
218(C2×D11)⋊C4—21no—
219(C2×D11)⋊C4—21no—
220(C2×D11)⋊C4C22⋊C412yes—
221(C2×D11)⋊C4C22⋊C412yes—
222C4⋊Dic11—22no—
223Dic11⋊C4—22no—
224Dic11⋊C4—21no—
225Dic11⋊C4—21no—
226Dic11⋊C4—21no—
227Dic11⋊C4—21no—
228Dic11⋊C4C22⋊C412yes—
229Dic11⋊C4C22⋊C412yes—
230C4×Dic11—22no—
231C4×Dic11C2×D412yes—
232C4×Dic11C2×D412yes—
233#4318—81no—
234C2×C11⋊C8—22no—
235C2×C11⋊C8—22no—
236C2×C11⋊C8—81no—
237C8×D11—82no—
238C8×D11—82no—
239C2×#538—111no—
240#2973—111no—
241#2972—111no—
242#1473—112no—
243#1471—111no—
244#1471D1111yescharacteristic, complemented
245#1469—112no—
246#1468—111no—
247#1468—111no—
248#1459—112no—
249C2×#323—112no—
250C23×C11—22no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—22no—
254C23×C11—22no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11C2×C22⋊C411yescharacteristic
262C23×C11C2×C22⋊C411yescharacteristic
263C23×C11C23×C411yescharacteristic
264C22×D11—21no—
265C22×D11—22no—
266C22×D11—41no—
267C22×D11—41no—
268C22×D11—44no—
269C22×D11—41no—
270C22×D11—41no—
271C22×D11—82no—
272C22×D11—82no—
273C22×D11—88no—
274C22×D11C2×C22⋊C412yes—
275C22×D11#13114yes—
276D4×C11—81no—
277D4×C11—81no—
278D4×C11—81no—
279D4×C11—81no—
280D4×C11—81no—
281D4×C11—81no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—41no—
289C2×C4×C11—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11C2×C22⋊C411yescharacteristic
293C2×C4×C11C2×C22⋊C411yescharacteristic
294C2×C4×C11C22×D411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C22⋊D11—24no—
297C22⋊D11—24no—
298C22⋊D11—44no—
299C22⋊D11—82no—
300C22⋊D11—81no—
301C22⋊D11—81no—
302C2×Dic11—22no—
303C2×Dic11—21no—
304C2×Dic11—21no—
305C2×Dic11—21no—
306C2×Dic11—22no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—82no—
312C2×Dic11C2×C22⋊C412yes—
313C2×Dic11C2×C22⋊C412yes—
314C2×Dic11C2×C22⋊C412yes—
315C4×D11—42no—
316C4×D11—42no—
317C4×D11—82no—
318Dic22—82no—
319C8×C11—42no—
320C8×C11—42no—
321C11⋊C8—42no—
322C11⋊C8—42no—
323#538—222no—
324#538—222no—
325#538—222no—
326#538—222no—
327C2×#126—111no—
328C2×#126—111no—
329C2×#124—111no—
330C2×#124—111no—
331C2×#123—111no—
332C2×#123—111no—
333C2×C22⋊Q8—111no—
334C2×#121—111no—
335C2×#121—111no—
336C2×#121C2×D1111yescharacteristic
337C2×#120—111no—
338C2×#120—111no—
339C2×C4×D4—111no—
340C2×C4×D4—111no—
341C22×C22⋊C4—111no—
342#435—222no—
343#435—222no—
344C8×D4—222no—
345C8×D4—222no—
346#432—112no—
347#431—112no—
348#407—111no—
349#407C2×D1111yescharacteristic, complemented
350C2×C22⋊C8—111no—
351C2×C22⋊C8—112no—
352C2×C22⋊C8—112no—
353C2×C22⋊C8C2×D1111yescharacteristic, complemented
354#324—112no—
355#324—112no—
356#323—112no—
357#323—112no—
358#323—112no—
359#323—112no—
360#323C2×D1112yes—
361#323C2×D1112yescomplemented
362C22×C11—21no—
363C22×C11—21no—
364C22×C11—21no—
365C22×C11—21no—
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—82no—
377C22×C11—82no—
378C22×C11—82no—
379C22×C11C22×C22⋊C411yescharacteristic
380C22×C11C2×#13112yes—
381C2×D11—22no—
382C2×D11—22no—
383C2×D11—44no—
384C2×D11—41no—
385C2×D11—41no—
386C2×D11—41no—
387C2×D11—88no—
388C2×D11—82no—
389C2×D11#40814yes—
390C4×C11—21no—
391C4×C11—21no—
392C4×C11—21no—
393C4×C11—21no—
394C4×C11—41no—
395C4×C11—41no—
396Dic11—22no—
397Dic11—22no—
398Dic11—22no—
399Dic11—41no—
400Dic11—41no—
401Dic11—41no—
402C25—111no—
403C22×Q8—111no—
404C22×D4—111no—
405C22×D4—111no—
406C22×D4—111no—
407C22×D4—111no—
408C22×D4C4×D1111yescharacteristic
409C22×D4C4×D1111yescharacteristic
410C22×D4C4×D1111yescharacteristic
411C23×C4—111no—
412C23×C4—111no—
413C23×C4—111no—
414C23×C4C22×D1111yescharacteristic
415C2×M16—21no—
416C2×M16—221no—
417C22×C8—21no—
418C22×C8—222no—
419C22×C8—222no—
420C22×C8—221no—
421#126—222no—
422#126—222no—
423#126—222no—
424#126—222no—
425#124—222no—
426#124—222no—
427#124—222no—
428#124—222no—
429#123—222no—
430#123—222no—
431#123—221no—
432#123—221no—
433#123—221no—
434#123—221no—
435C22⋊Q8—222no—
436C22⋊Q8—222no—
437#121—21no—
438#121—21no—
439#121—21no—
440#121—21no—
441#121—222no—
442#121—222no—
443#121—222no—
444#121—222no—
445#120—222no—
446#120—222no—
447#120—222no—
448#120—222no—
449C4×D4—112no—
450C4×D4—112no—
451C4×D4—112no—
452C4×D4—112no—
453C4×D4—222no—
454C4×D4—222no—
455C2×C4⋊C4—111no—
456C2×C4⋊C4—111no—
457C2×C4⋊C4—111no—
458C2×C4⋊C4—111no—
459C2×C4⋊C4—111no—
460C2×C4⋊C4C4×D1111yescharacteristic
461C2×C22⋊C4—111no—
462C2×C22⋊C4—111no—
463C2×C22⋊C4—111no—
464C2×C22⋊C4—111no—
465C2×C22⋊C4—111no—
466C2×C22⋊C4—111no—
467C2×C22⋊C4—111no—
468C2×C22⋊C4—111no—
469C2×C22⋊C4—111no—
470C2×C22⋊C4—111no—
471C2×C22⋊C4—111no—
472C2×C22⋊C4—111no—
473C2×C22⋊C4—222no—
474C2×C22⋊C4—222no—
475C2×C22⋊C4C22×D1111yescharacteristic
476C2×C22⋊C4C22×D1111yescharacteristic
477C2×C42—111no—
478C2×C42—111no—
479C4⋊C8—222no—
480C4⋊C8—222no—
481C22⋊C8—21no—
482C22⋊C8—21no—
483C22⋊C8—112no—
484C22⋊C8—112no—
485C22⋊C8—222no—
486C22⋊C8—222no—
487C22⋊C8—221no—
488C22⋊C8—221no—
489C22⋊C8C22×D1112yes—
490C22⋊C8C22×D1112yes—
491#97—222no—
492C4×C8—222no—
493C2×C11—22no—
494C2×C11—41no—
495C2×C11—41no—
496C2×C11—81no—
497C2×C11—81no—
498C2×C11C2×#40811yescharacteristic
499C2×C11#288311yescharacteristic
500C2×C11#288811yescharacteristic
501D11—24no—
502D11—81no—
503C24—111no—
504C24—111no—
505C24—222no—
506C24—224no—
507C24—881no—
508C24—881no—
509C24C2×C4×D1111yescharacteristic
510C24C2×C4×D1111yescharacteristic
511C24C2×C4×D1111yescharacteristic
512C2×Q8—222no—
513C2×Q8—881no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—81no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—112no—
524C2×D4—112no—
525C2×D4—222no—
526C2×D4—224no—
527C2×D4—222no—
528C2×D4—224no—
529C2×D4—221no—
530C2×D4—221no—
531C2×D4—881no—
532C2×D4—881no—
533C22×C4—81no—
534C22×C4—111no—
535C22×C4—111no—
536C22×C4—111no—
537C22×C4—112no—
538C22×C4—112no—
539C22×C4—111no—
540C22×C4—111no—
541C22×C4—111no—
542C22×C4—222no—
543C22×C4—222no—
544C22×C4—881no—
545C22×C4—881no—
546C22×C4—881no—
547C22×C4C2×C4×D1111yescharacteristic
548C22×C4C2×C4×D1111yescharacteristic
549C22×C4C2×C4×D1111yescharacteristic
550C22×C4D4×D1111yescharacteristic
551C22×C4D4×D1111yescharacteristic
552C22×C4D4×D1111yescharacteristic
553C22×C4D4×D1111yescharacteristic
554C22×C4C23×D1111yescharacteristic
555M16—81no—
556M16—881no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—81no—
560C2×C8—222no—
561C2×C8—222no—
562C2×C8—882no—
563C2×C8—882no—
564C2×C8—881no—
565C4⋊C4—21no—
566C4⋊C4—21no—
567C4⋊C4—112no—
568C4⋊C4—112no—
569C4⋊C4—222no—
570C4⋊C4—222no—
571C4⋊C4—221no—
572C4⋊C4—221no—
573C4⋊C4—221no—
574C4⋊C4—221no—
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—112no—
580C22⋊C4—112no—
581C22⋊C4—112no—
582C22⋊C4—112no—
583C22⋊C4—222no—
584C22⋊C4—222no—
585C22⋊C4—222no—
586C22⋊C4—222no—
587C22⋊C4—222no—
588C22⋊C4—222no—
589C22⋊C4—222no—
590C22⋊C4—221no—
591C22⋊C4—221no—
592C22⋊C4—221no—
593C22⋊C4—221no—
594C22⋊C4—221no—
595C22⋊C4—221no—
596C42—112no—
597C42—112no—
598C42—222no—
599C11#1738611yescharacteristic, complemented, Sylow
600C23—22no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—112no—
612C23—114no—
613C23—221no—
614C23—222no—
615C23—441no—
616C23—441no—
617C23—441no—
618C23—441no—
619C23—444no—
620C23—882no—
621C23—882no—
622C23—888no—
623C23C22⋊C4×D1111yescharacteristic
624C23C22⋊C4×D1111yescharacteristic
625C23C22×C4×D1111yescharacteristic
626Q8—882no—
627D4—81no—
628D4—81no—
629D4—81no—
630D4—81no—
631D4—81no—
632D4—81no—
633D4—224no—
634D4—224no—
635D4—444no—
636D4—882no—
637D4—881no—
638D4—881no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—112no—
650C2×C4—112no—
651C2×C4—112no—
652C2×C4—222no—
653C2×C4—221no—
654C2×C4—221no—
655C2×C4—221no—
656C2×C4—222no—
657C2×C4—442no—
658C2×C4—442no—
659C2×C4—441no—
660C2×C4—441no—
661C2×C4—441no—
662C2×C4—441no—
663C2×C4—882no—
664C2×C4—882no—
665C2×C4C22⋊C4×D1111yescharacteristic
666C2×C4C22⋊C4×D1111yescharacteristic
667C2×C4C2×D4×D1111yescharacteristic
668C2×C4C2×D4×D1111yescharacteristic
669C8—42no—
670C8—42no—
671C8—442no—
672C8—442no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—114no—
691C22—222no—
692C22—222no—
693C22—444no—
694C22—441no—
695C22—441no—
696C22—441no—
697C22—882no—
698C22—888no—
699C22C2×C22⋊C4×D1111yescharacteristic
700C22D11×#13112yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—41no—
706C4—41no—
707C4—222no—
708C4—222no—
709C4—222no—
710C4—441no—
711C4—441no—
712C4—441no—
713C2—22no—
714C2—41no—
715C2—41no—
716C2—81no—
717C2—81no—
718C2—224no—
719C2—881no—
720C2D11×#40811yescharacteristic
721C2#1307707411yescharacteristic
722C2#1307709211yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D11
commutatorC23×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1471C2
socleC22×C11C22×C22⋊C4
prime radicalC2×#10623144C2
cosocleC22×C4×C11C24
hypercenter#1471D11
hypocenterC11#17386
LCSG ▷ C23×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1471

Complements

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

NH ≅ G/Ntype
2. #13077643C2semidirect
3. #13077638C2semidirect
4. #13066982C2semidirect
5. #13066976C2semidirect
6. #13066966C2semidirect
7. #13066965C2semidirect
8. #13066962C2semidirect
9. #13066931C2semidirect
10. D11×#323C2semidirect
11. C11×#1471C2semidirect
31. C11×#407C22semidirect
32. C2×C11×C22⋊C8C22semidirect
33. #10622820C22semidirect
34. C2×C22⋊(C11⋊C8)C22semidirect
41. #10622332C22semidirect
42. #10622331C22semidirect
44. C11×#323C22semidirect
46. #10622163C22semidirect
47. #10622107C22semidirect
48. #10622107C22semidirect
244. #1471D11semidirect
349. #407C2×D11semidirect
353. C2×C22⋊C8C2×D11semidirect
361. #323C2×D11semidirect
599. C11#17386semidirect

Maximal subgroups

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

subgroupindex
C2×#106231442
#130776432
#130776382
#130669822
#130669762
#130669662
#130669652
#130669622
#130669312
D11×#3232
C11×#14712
#1738611