Finite Group Databasebeta

← #14680367

Subgroups — #14680367

Order 2816.

2086 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66949C211yesmaximal, characteristic
2C2×#10622600C211yesmaximal, characteristic
3C2×D11×#95C211yesmaximal, characteristic
4#13066886C212yesmaximal, complemented
5#13066882C212yesmaximal, complemented
6#13066870C211yesmaximal, characteristic, complemented
7#13066869C211yesmaximal, characteristic, complemented
8#13066866C211yesmaximal, characteristic, complemented
9(C2×D11)⋊#95C212yesmaximal
10(C2×D11)⋊#95C212yesmaximal
11C11×#1441C211yesmaximal, characteristic, complemented
12C23×C4×D11C2212yes—
13C23×C4×D11C2211yescharacteristic
14C23×Dic22C2211yescharacteristic
15C22×C11×C4⋊C4C2211yescharacteristic
16C22×C11×C4⋊C4C2211yescharacteristic
17C22×(C2×D11)⋊C4C2212yes—
18C22×(C2×D11)⋊C4C2211yescharacteristic
19C22×(C2×D11)⋊C4C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C22×Dic11⋊C4C2211yescharacteristic
22C22×Dic11⋊C4C2211yescharacteristic
23C2×#66949—24no—
24C2×#66949—24no—
25C2×#66949C418yescomplemented
26C2×C11×#95C2211yescharacteristic
27C2×C11×#95C2212yes—
28C2×C11×#95C2212yes—
29C2×C11⋊#95C2211yescharacteristic
30C2×C11⋊#95C2212yes—
31C2×C11⋊#95C2212yes—
32C2×C11⋊#95C2212yes—
33C2×C11⋊#95C2212yes—
34C2×C11⋊#95C2212yes—
35C2×C11⋊#95C2212yes—
36C2×C11⋊#95C2212yes—
37C2×C11⋊#95C2212yes—
38#10622600—24no—
39D11×#95—24no—
40C24×D11C2311yescharacteristic
41C23×C4×C11C2312yes—
42C23×C4×C11C2311yescharacteristic
43C23×C4×C11C2311yescharacteristic
44C23×C4×C11C2312yes—
45C23×C4×C11C2311yescharacteristic
46C23×Dic11C2312yes—
47C23×Dic11C2311yescharacteristic
48C23×Dic11C2311yescharacteristic
49C23×Dic11C2312yes—
50C23×Dic11C2311yescharacteristic
51C22×C4×D11—24no—
52C22×C4×D11—24no—
53C22×C4×D11—42no—
54C22×C4×D11—42no—
55C22×C4×D11—42no—
56C22×C4×D11—42no—
57C22×C4×D11—42no—
58C22×C4×D11—42no—
59C22×C4×D11C2×C414yes—
60C22×C4×D11D414yes—
61C22×C4×D11D414yes—
62C22×C4×D11Q818yescomplemented
63C22×Dic22—22no—
64C22×Dic22—22no—
65C22×Dic22—42no—
66C22×Dic22—42no—
67C22×Dic22C2×C414yescomplemented
68C2×C11×C4⋊C4—22no—
69C2×C11×C4⋊C4—22no—
70C2×C11×C4⋊C4—22no—
71C2×C11×C4⋊C4—42no—
72C2×C11×C4⋊C4C2×C414yescomplemented
73C2×(C2×D11)⋊C4—22no—
74C2×(C2×D11)⋊C4—22no—
75C2×(C2×D11)⋊C4—22no—
76C2×(C2×D11)⋊C4—22no—
77C2×(C2×D11)⋊C4—24no—
78C2×(C2×D11)⋊C4—24no—
79C2×(C2×D11)⋊C4—24no—
80C2×(C2×D11)⋊C4C2×C414yes—
81C2×(C2×D11)⋊C4C2×C414yes—
82C2×C4⋊Dic11—22no—
83C2×C4⋊Dic11—42no—
84C2×Dic11⋊C4—22no—
85C2×Dic11⋊C4—22no—
86C2×Dic11⋊C4—22no—
87C2×Dic11⋊C4—22no—
88C2×Dic11⋊C4C2×C414yescomplemented
89C2×Dic11⋊C4C2×C414yescomplemented
90#66949—232no—
91C11×#95—22no—
92C11×#95—42no—
93C11×#95—42no—
94C11⋊#95—22no—
95C11⋊#95—24no—
96C11⋊#95—24no—
97C11⋊#95—42no—
98C11⋊#95—42no—
99C11⋊#95—42no—
100C11⋊#95—42no—
101C11⋊#95—42no—
102C11⋊#95—42no—
103#14281—111nomaximal, Sylow
104C24×C11C2411yescharacteristic
105C23×D11—22no—
106C23×D11—22no—
107C23×D11—21no—
108C23×D11—21no—
109C23×D11—21no—
110C23×D11—21no—
111C23×D11C22×C412yes—
112C23×D11C2×D412yes—
113C23×D11C2×D412yes—
114C23×D11C2×Q814yes—
115C23×D11#4114yes—
116C22×C4×C11—22no—
117C22×C4×C11—22no—
118C22×C4×C11—22no—
119C22×C4×C11—21no—
120C22×C4×C11—21no—
121C22×C4×C11—21no—
122C22×C4×C11—21no—
123C22×C4×C11—22no—
124C22×C4×C11—21no—
125C22×C4×C11—22no—
126C22×C4×C11—22no—
127C22×C4×C11—22no—
128C22×C4×C11—21no—
129C22×C4×C11—22no—
130C22×C4×C11—22no—
131C22×C4×C11—22no—
132C22×C4×C11—21no—
133C22×C4×C11—21no—
134C22×C4×C11—22no—
135C22×C4×C11—22no—
136C22×C4×C11—22no—
137C22×C4×C11—22no—
138C22×C4×C11—22no—
139C22×C4×C11—22no—
140C22×C4×C11—22no—
141C22×C4×C11C22×C412yes—
142C22×C4×C11C22×C412yes—
143C22×C4×C11C22×C412yes—
144C22×C4×C11C2×D412yes—
145C22×C4×C11C2×D412yes—
146C22×C4×C11C2×Q814yes—
147C22×Dic11—22no—
148C22×Dic11—21no—
149C22×Dic11—21no—
150C22×Dic11—21no—
151C22×Dic11—21no—
152C22×Dic11—22no—
153C22×Dic11—22no—
154C22×Dic11—22no—
155C22×Dic11—22no—
156C22×Dic11—22no—
157C22×Dic11—22no—
158C22×Dic11—21no—
159C22×Dic11—21no—
160C22×Dic11—22no—
161C22×Dic11—22no—
162C22×Dic11—22no—
163C22×Dic11—22no—
164C22×Dic11—22no—
165C22×Dic11—22no—
166C22×Dic11—22no—
167C22×Dic11—22no—
168C22×Dic11—22no—
169C22×Dic11—21no—
170C22×Dic11—21no—
171C22×Dic11—22no—
172C22×Dic11C22×C412yes—
173C22×Dic11C22×C412yes—
174C22×Dic11C22×C412yes—
175C22×Dic11C2×D412yes—
176C22×Dic11C2×D412yes—
177C22×Dic11C2×Q814yes—
178C2×C4×D11—216no—
179C2×C4×D11—48no—
180C2×C4×D11—44no—
181C2×C4×D11—44no—
182C2×C4×D11—48no—
183C2×C4×D11—48no—
184C2×C4×D11—48no—
185C2×C4×D11—48no—
186C2×C4×D11—48no—
187C2×C4×D11—48no—
188C2×C4×D11—48no—
189C2×C4×D11C22⋊C4116yes—
190C2×Dic22—28no—
191C2×Dic22—48no—
192C2×Dic22—44no—
193C2×Dic22—48no—
194C2×Dic22—44no—
195C11×C4⋊C4—28no—
196C11×C4⋊C4—44no—
197(C2×D11)⋊C4—28no—
198(C2×D11)⋊C4—28no—
199(C2×D11)⋊C4—48no—
200C4⋊Dic11—44no—
201Dic11⋊C4—28no—
202Dic11⋊C4—28no—
203C22×C22⋊Q8—111no—
204C2×#380—111no—
205C22×#95—111no—
206#1446—112no—
207#1445—112no—
208#1441—111no—
209#1441—111no—
210#1441—111no—
211#1441D1111yescharacteristic, complemented
212C22⋊#95—112no—
213C22⋊#95—112no—
214C23×C11C23×C411yescharacteristic
215C23×C11C22×D411yescharacteristic
216C23×C11C22×D411yescharacteristic
217C23×C11C22×Q812yes—
218C23×C11C2×#4112yes—
219C23×C11H(5,𝔽2)12yes—
220C23×C11H(5,𝔽2)11yescharacteristic
221C23×C11H(5,𝔽2)12yes—
222C23×C11H(5,𝔽2)11yescharacteristic
223C23×C112−1+411yescharacteristic
224C23×C112−1+411yescharacteristic
225C22×D11—24no—
226C22×D11—22no—
227C22×D11—22no—
228C22×D11—24no—
229C22×D11—22no—
230C22×D11—22no—
231C22×D11—22no—
232C22×D11—22no—
233C22×D11—22no—
234C22×D11—22no—
235C22×D11—24no—
236C22×D11—24no—
237C22×D11—24no—
238C22×D11—24no—
239C22×D11—24no—
240C22×D11—24no—
241C22×D11—24no—
242C22×D11—24no—
243C22×D11C2×C22⋊C414yes—
244C22×D11C4×Q818yes—
245C22×D11C22⋊Q818yes—
246C22×D11#12414yes—
247C22×D11C4⋊Q814yes—
248C2×C4×C11—24no—
249C2×C4×C11—22no—
250C2×C4×C11—22no—
251C2×C4×C11—24no—
252C2×C4×C11—22no—
253C2×C4×C11—22no—
254C2×C4×C11—24no—
255C2×C4×C11—22no—
256C2×C4×C11—22no—
257C2×C4×C11—24no—
258C2×C4×C11—24no—
259C2×C4×C11—24no—
260C2×C4×C11—41no—
261C2×C4×C11—42no—
262C2×C4×C11—41no—
263C2×C4×C11—42no—
264C2×C4×C11—42no—
265C2×C4×C11—41no—
266C2×C4×C11—41no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—42no—
270C2×C4×C11—42no—
271C2×C4×C11—42no—
272C2×C4×C11—42no—
273C2×C4×C11—42no—
274C2×C4×C11—42no—
275C2×C4×C11—42no—
276C2×C4×C11—42no—
277C2×C4×C11—42no—
278C2×C4×C11C2×C22⋊C414yes—
279C2×Dic11—24no—
280C2×Dic11—22no—
281C2×Dic11—24no—
282C2×Dic11—22no—
283C2×Dic11—22no—
284C2×Dic11—22no—
285C2×Dic11—24no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—24no—
289C2×Dic11—24no—
290C2×Dic11—24no—
291C2×Dic11—41no—
292C2×Dic11—42no—
293C2×Dic11—41no—
294C2×Dic11—42no—
295C2×Dic11—42no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—42no—
301C2×Dic11—42no—
302C2×Dic11—42no—
303C2×Dic11—42no—
304C2×Dic11—42no—
305C2×Dic11—42no—
306C2×Dic11—42no—
307C2×Dic11—42no—
308C2×Dic11—42no—
309C2×Dic11C2×C22⋊C414yes—
310C4×D11—416no—
311C4×D11—432no—
312Dic22—416no—
313C23×Q8—111no—
314C24×C4—111no—
315C24×C4—112no—
316C2×C22⋊Q8—118no—
317C2×C22⋊Q8—224no—
318C2×C22⋊Q8—224no—
319C22×C4⋊C4—111no—
320C22×C4⋊C4—111no—
321C22×C4⋊C4—111no—
322C22×C4⋊C4C2×D1111yescharacteristic
323C22×C4⋊C4C2×D1111yescharacteristic
324C22×C22⋊C4—111no—
325C22×C22⋊C4—111no—
326C22×C22⋊C4—112no—
327#380—224no—
328C2×#95—111no—
329C2×#95—112no—
330C2×#95—112no—
331C2×#95—112no—
332C2×#95—112no—
333C2×#95—112no—
334C2×#95—112no—
335C2×#95—112no—
336C2×#95—112no—
337C2×#95—224no—
338C2×#95C2×D1111yescharacteristic
339C2×#95C2×D1112yes—
340C2×#95C2×D1112yes—
341C22×C11C22×C22⋊C411yescharacteristic
342C22×C11C2×C4×Q812yes—
343C22×C11#51812yes—
344C22×C11#52011yescharacteristic
345C22×C11#52011yescharacteristic
346C22×C11C2×C22⋊Q812yes—
347C22×C11C2×#12411yescharacteristic
348C22×C11C2×C4⋊Q811yescharacteristic
349C22×C11#53411yescharacteristic
350C22×C11#53412yes—
351C22×C11#53411yescharacteristic
352C22×C11#53511yescharacteristic
353C22×C11#53611yescharacteristic
354C22×C11#53711yescharacteristic
355C22×C11#53711yescharacteristic
356C22×C11#53812yes—
357C22×C11#53812yes—
358C22×C11#53912yes—
359C22×C11#53912yes—
360C22×C11#54312yes—
361C22×C11#54312yes—
362C22×C11#54412yes—
363C22×C11#54412yes—
364C2×D11—24no—
365C2×D11—24no—
366C2×D11—28no—
367C2×D11—28no—
368C2×D11—28no—
369C2×D11—28no—
370C2×D11—24no—
371C2×D11—24no—
372C2×D11—24no—
373C2×D11—24no—
374C2×D11#39118yes—
375C4×C11—24no—
376C4×C11—42no—
377C4×C11—42no—
378C4×C11—44no—
379C4×C11—82no—
380Dic11—24no—
381Dic11—42no—
382Dic11—42no—
383Dic11—44no—
384Dic11—82no—
385C25—111no—
386C22×Q8—114no—
387C22×Q8—222no—
388C22×Q8—222no—
389C22×Q8—442no—
390C22×Q8—442no—
391C23×C4—111no—
392C23×C4—114no—
393C23×C4—114no—
394C23×C4—114no—
395C23×C4—111no—
396C23×C4—111no—
397C23×C4—112no—
398C23×C4—118no—
399C23×C4—112no—
400C23×C4—224no—
401C23×C4—224no—
402C23×C4—442no—
403C23×C4—442no—
404C23×C4—442no—
405C23×C4—442no—
406C23×C4—442no—
407C23×C4—442no—
408C23×C4C22×D1112yes—
409C23×C4C22×D1111yescharacteristic
410C23×C4C22×D1111yescharacteristic
411C23×C4C22×D1112yes—
412C23×C4C22×D1111yescharacteristic
413C22⋊Q8—2232no—
414C2×C4⋊C4—22no—
415C2×C4⋊C4—22no—
416C2×C4⋊C4—22no—
417C2×C4⋊C4—42no—
418C2×C4⋊C4—114no—
419C2×C4⋊C4—114no—
420C2×C4⋊C4—222no—
421C2×C4⋊C4—222no—
422C2×C4⋊C4—222no—
423C2×C4⋊C4—222no—
424C2×C4⋊C4—222no—
425C2×C4⋊C4—442no—
426C2×C4⋊C4C4×D1114yescomplemented
427C2×C22⋊C4—114no—
428C2×C22⋊C4—114no—
429C2×C22⋊C4—222no—
430C2×C22⋊C4—222no—
431C2×C22⋊C4—222no—
432C2×C22⋊C4—222no—
433C2×C22⋊C4—224no—
434C2×C22⋊C4—224no—
435C2×C22⋊C4—224no—
436#95—22no—
437#95—42no—
438#95—42no—
439#95—224no—
440#95—224no—
441#95—222no—
442#95—442no—
443#95—442no—
444#95—442no—
445#95—442no—
446#95—442no—
447#95—442no—
448C2×C11C2×#39111yescharacteristic
449C2×C11#230811yescharacteristic
450C2×C11#231111yescharacteristic
451C2×C11#232912yes—
452C2×C11#232912yes—
453C2×C11#262612yes—
454C2×C11#262712yes—
455C2×C11#263911yescharacteristic
456C2×C11#263911yescharacteristic
457C2×C11#265911yescharacteristic
458C2×C11#265911yescharacteristic
459D11—28no—
460C24—112no—
461C24—112no—
462C24—112no—
463C24—114no—
464C24—114no—
465C24—222no—
466C24—221no—
467C24—221no—
468C24—221no—
469C24—222no—
470C24—221no—
471C24C23×D1111yescharacteristic
472C2×Q8—228no—
473C2×Q8—448no—
474C2×Q8—444no—
475C2×Q8—448no—
476C2×Q8—444no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—21no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—112no—
503C22×C4—112no—
504C22×C4—112no—
505C22×C4—1116no—
506C22×C4—112no—
507C22×C4—112no—
508C22×C4—114no—
509C22×C4—2216no—
510C22×C4—222no—
511C22×C4—222no—
512C22×C4—222no—
513C22×C4—221no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—221no—
517C22×C4—221no—
518C22×C4—222no—
519C22×C4—222no—
520C22×C4—222no—
521C22×C4—221no—
522C22×C4—222no—
523C22×C4—221no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—221no—
528C22×C4—222no—
529C22×C4—222no—
530C22×C4—222no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—448no—
536C22×C4—444no—
537C22×C4—448no—
538C22×C4—444no—
539C22×C4—448no—
540C22×C4—448no—
541C22×C4—448no—
542C22×C4—448no—
543C22×C4—448no—
544C22×C4—448no—
545C22×C4C2×C4×D1112yes—
546C22×C4C2×C4×D1112yes—
547C22×C4C2×C4×D1112yes—
548C22×C4D4×D1112yes—
549C22×C4D4×D1112yes—
550C22×C4Q8×D1114yes—
551C4⋊C4—28no—
552C4⋊C4—44no—
553C4⋊C4—228no—
554C4⋊C4—228no—
555C4⋊C4—444no—
556C22⋊C4—228no—
557C22⋊C4—228no—
558C22⋊C4—448no—
559C11#1428111yescharacteristic, complemented, Sylow
560C23—114no—
561C23—114no—
562C23—118no—
563C23—118no—
564C23—114no—
565C23—224no—
566C23—224no—
567C23—222no—
568C23—222no—
569C23—224no—
570C23—222no—
571C23—224no—
572C23—222no—
573C23—222no—
574C23—224no—
575C23—222no—
576C23—222no—
577C23—224no—
578C23—224no—
579C23—222no—
580C23—224no—
581C23—224no—
582C23—224no—
583C23C22×C4×D1111yescharacteristic
584C23C2×D4×D1111yescharacteristic
585C23C2×D4×D1111yescharacteristic
586C23#6703712yes—
587C23#6703711yescharacteristic
588C23C2×Q8×D1112yes—
589C23#6704011yescharacteristic
590C23#41×D1112yes—
591C23#6704211yescharacteristic
592C23#6704212yes—
593C23#6704311yescharacteristic
594Q8—4416no—
595C2×C4—24no—
596C2×C4—22no—
597C2×C4—24no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—24no—
604C2×C4—24no—
605C2×C4—24no—
606C2×C4—24no—
607C2×C4—42no—
608C2×C4—41no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—42no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—114no—
626C2×C4—224no—
627C2×C4—222no—
628C2×C4—224no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—224no—
635C2×C4—224no—
636C2×C4—224no—
637C2×C4—224no—
638C2×C4—4416no—
639C2×C4—4432no—
640C2×C4—442no—
641C2×C4—441no—
642C2×C4—442no—
643C2×C4—442no—
644C2×C4—442no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—442no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—442no—
652C2×C4—442no—
653C2×C4—442no—
654C2×C4—442no—
655C2×C4—442no—
656C2×C4—442no—
657C2×C4—442no—
658C2×C4C22⋊C4×D1114yes—
659C22—118no—
660C22—228no—
661C22—224no—
662C22—224no—
663C22—224no—
664C22—224no—
665C22—224no—
666C22—224no—
667C22—228no—
668C22—228no—
669C22—228no—
670C22C2×C22⋊C4×D1111yescharacteristic
671C22#1062303511yescharacteristic
672C22#1062305411yescharacteristic
673C22#1062307612yes—
674C22C4×Q8×D1112yes—
675C22#1062312011yescharacteristic
676C22#1062313612yes—
677C22#1062313811yescharacteristic
678C22#1062313911yescharacteristic
679C22#1062314412yes—
680C22D11×C22⋊Q812yes—
681C22#1062315911yescharacteristic
682C22#1062316011yescharacteristic
683C22#1062316512yes—
684C22#1062316512yes—
685C22#1062318411yescharacteristic
686C22#1062319112yes—
687C22D11×#12411yescharacteristic
688C22#1062322012yes—
689C22#1062322312yes—
690C22#1062323512yes—
691C22D11×C4⋊Q811yescharacteristic
692C22#1062326012yes—
693C4—24no—
694C4—42no—
695C4—42no—
696C4—44no—
697C4—82no—
698C4—224no—
699C4—442no—
700C4—442no—
701C4—444no—
702C4—882no—
703C2—228no—
704C2D11×#39111yescharacteristic
705C2#1307119011yescharacteristic
706C2#1307120511yescharacteristic
707C2#1307134312yes—
708C2#1307135012yes—
709C2#1307442612yes—
710C2#1307443412yes—
711C2#1307454711yescharacteristic
712C2#1307454811yescharacteristic
713C2#1307472911yescharacteristic
714C2#1307473111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D11
commutatorC23×C11C23×C4
FittingC11×#1441C2
socle, cosocleC24×C11C24
prime radicalC24×D11C23
hypercenter#1441D11
hypocenterC11#14281
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C24 ◁ #1441

Complements

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

NH ≅ G/Ntype
4. #13066886C2semidirect
5. #13066882C2semidirect
6. #13066870C2semidirect
7. #13066869C2semidirect
8. #13066866C2semidirect
11. C11×#1441C2semidirect
25. C2×#66949C4semidirect
62. C22×C4×D11Q8semidirect
67. C22×Dic22C2×C4semidirect
72. C2×C11×C4⋊C4C2×C4semidirect
88. C2×Dic11⋊C4C2×C4semidirect
89. C2×Dic11⋊C4C2×C4semidirect
211. #1441D11semidirect
426. C2×C4⋊C4C4×D11semidirect
559. C11#14281semidirect

Maximal subgroups

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

subgroupindex
C22×#669492
C2×#106226002
C2×D11×#952
#130668862
#130668822
#130668702
#130668692
#130668662
(C2×D11)⋊#952
C11×#14412
#1428111