Finite Group Databasebeta

← #14760181

Subgroups — #14760181

Order 2816.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622688C211yesmaximal, characteristic
2C2×#10622631C211yesmaximal, characteristic, complemented
3C2×C4×#4324C211yesmaximal, characteristic, complemented
4#13070979C211yesmaximal, characteristic, complemented
5#13069544C211yesmaximal, characteristic
6#13069382C211yesmaximal, characteristic, complemented
7#13069240C211yesmaximal, characteristic, complemented
8#13069233C211yesmaximal, characteristic, complemented
9#13068974C211yesmaximal, characteristic, complemented
10#13068974C211yesmaximal, characteristic, complemented
11#13068628C211yesmaximal, characteristic, complemented
12#13068473C211yesmaximal, characteristic, complemented
13#13068441C211yesmaximal, characteristic, complemented
14C4×#66896C211yesmaximal, characteristic, complemented
15C11×#2328C211yesmaximal, characteristic
16C2×C11×#127C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4324C2211yescharacteristic
20C22×#4324C2211yescharacteristic
21C2×C4×Dic22C2211yescharacteristic
22C2×C4×Dic22C2211yescharacteristic
23C2×C4×Dic22C2211yescharacteristic
24C11×#390C2211yescharacteristic
25C11×#390C2211yescharacteristic
26C11×#386—21no—
27C11×#386—21no—
28C11×#386—21no—
29C11×#386—21no—
30C11×#382C2211yescharacteristic
31C11×#376C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38#10622688C418yescomplemented
39#10622631—24no—
40C4×#4324—24no—
41C2×#66874C2211yescharacteristic
42C2×#66874C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66871C2211yescharacteristic
45C4×C4⋊Dic11C2211yescharacteristic
46C4×C4⋊Dic11C2211yescharacteristic
47C4×C4⋊Dic11C2211yescharacteristic
48C2×C4⋊(C11⋊C8)C2211yescharacteristic
49C2×C4⋊(C11⋊C8)C2211yescharacteristic
50C2×#66867C2211yescharacteristic
51C2×C4×C11⋊C8C2211yescharacteristic
52#10622262—21no—
53#10622262—21no—
54#10622262—21no—
55#10622261—21no—
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62C22×D4×C11—21no—
63C22×D4×C11—21no—
64C22×D4×C11C2311yescharacteristic
65C22×D4×C11C2311yescharacteristic
66C23×C4×C11—21no—
67C23×C4×C11—21no—
68C22×Dic22C2311yescharacteristic
69C11×#127—22no—
70C11×#127C2×C414yes—
71C4×D4×C11—22no—
72C4×D4×C11—22no—
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C22⋊C4—21no—
78C2×C11×C22⋊C4—21no—
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C42×C11C2311yescharacteristic
84C2×C42×C11C2311yescharacteristic
85C2×C42×C11C2311yescharacteristic
86C2×#4324—22no—
87C2×#4324—22no—
88C2×#4324—22no—
89C2×#4324—22no—
90C2×#4324C2×C414yescomplemented
91C2×#4324C2×C414yescomplemented
92C2×C4⋊Dic11C2311yescharacteristic
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×Dic11⋊C4—21no—
96C2×Dic11⋊C4—21no—
97C2×Dic11⋊C4—21no—
98C2×C4×Dic11—21no—
99C2×C4×Dic11—21no—
100C2×C4×Dic11—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11—21no—
104C22×C11⋊C8C2311yescharacteristic
105C22×C11⋊C8C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C4×Dic22—22no—
109C4×Dic22—22no—
110C4×Dic22—22no—
111C4×Dic22—22no—
112C4×Dic22C2×C414yescomplemented
113C4×Dic22D414yescomplemented
114C11×#95—21no—
115C11×#95—21no—
116C11×#95D411yescharacteristic
117C11×#95D411yescharacteristic
118C11×#95D411yescharacteristic
119C11×#95D411yescharacteristic
120#66896—22no—
121#66896—22no—
122#66896—22no—
123#66896—22no—
124#66896C2×C414yescomplemented
125#66896C2×C414yescomplemented
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66874—22no—
130#66874—22no—
131#66872—22no—
132#66871—22no—
133C4⋊(C11⋊C8)—22no—
134C4⋊(C11⋊C8)C2×C414yescomplemented
135#66867—22no—
136C4×C11⋊C8—22no—
137#21515—111nomaximal, Sylow
138C24×C11—21no—
139C24×C11—21no—
140C2×D4×C11—24no—
141C2×D4×C11—24no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—21no—
145C2×D4×C11—21no—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11—81no—
153C2×D4×C11—81no—
154C2×D4×C11—81no—
155C2×D4×C11—81no—
156C2×D4×C11C22×C412yes—
157C2×D4×C11C22×C412yes—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—81no—
163C22×C4×C11—81no—
164C22×C4×C11—81no—
165C22×C4×C11—81no—
166C22×C4×C11C2×D411yescharacteristic
167C22×C4×C11C2×D411yescharacteristic
168C22×C4×C11C2×D411yescharacteristic
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2411yescharacteristic
173C22×Dic11—21no—
174C22×Dic11—21no—
175C22×Dic11—21no—
176C22×Dic11—21no—
177C2×Dic22—21no—
178C2×Dic22—21no—
179C2×Dic22—21no—
180C2×Dic22C22×C412yes—
181C2×Dic22C2×D412yes—
182C2×Dic22#4112yes—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C22⋊C4—42no—
188C11×C22⋊C4—42no—
189C11×C22⋊C4—81no—
190C11×C22⋊C4—81no—
191C11×C22⋊C4—81no—
192C11×C22⋊C4—81no—
193C42×C11—21no—
194C42×C11—21no—
195C42×C11C22×C412yes—
196C42×C11C2×D412yes—
197C42×C11#4112yes—
198C42×C11#4112yes—
199#4324—28no—
200#4324—28no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11C22×C412yes—
205C4⋊Dic11C2×D412yes—
206C4⋊Dic11#4112yes—
207Dic11⋊C4—24no—
208Dic11⋊C4—24no—
209Dic11⋊C4—24no—
210C4×Dic11—24no—
211C4×Dic11—24no—
212C4×Dic11—24no—
213C4×Dic11—81no—
214C4×Dic11—81no—
215C4×Dic11—81no—
216C2×C11⋊C8—21no—
217C2×C11⋊C8—21no—
218C2×C11⋊C8—21no—
219C2×C11⋊C8—21no—
220C2×C11⋊C8—21no—
221C2×C11⋊C8—21no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8C22×C412yes—
227C2×C11⋊C8C22×C412yes—
228C2×#460—111no—
229C2×#440—111no—
230C2×C4×SD16—111no—
231#2328D1111yescharacteristic
232#2276—111no—
233#1982—111no—
234#1949—111no—
235#1926—111no—
236#1925—111no—
237#1880—111no—
238#1880—111no—
239#1805—111no—
240#1768—111no—
241#1762—111no—
242C4×#102—111no—
243C23×C11—22no—
244C23×C11—22no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11—41no—
254C23×C11—41no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11C22×D411yescharacteristic
258D4×C11—22no—
259D4×C11—22no—
260D4×C11—22no—
261D4×C11—22no—
262D4×C11—41no—
263D4×C11—41no—
264D4×C11—41no—
265D4×C11—41no—
266D4×C11—84no—
267D4×C11—84no—
268C2×C4×C11—21no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—41no—
283C2×C4×C11—41no—
284C2×C4×C11—41no—
285C2×C4×C11—41no—
286C2×C4×C11—41no—
287C2×C4×C11—41no—
288C2×C4×C11—84no—
289C2×C4×C11—84no—
290C2×C4×C11C4×D412yes—
291C2×C4×C11C4×D412yes—
292C2×C4×C11#12112yes—
293C2×C4×C11#12112yes—
294C2×C4×C11C23×C411yescharacteristic
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11C2×#4111yescharacteristic
297C2×C4×C11C2×#4111yescharacteristic
298C2×C4×C11C2×#4111yescharacteristic
299C2×C4×C11C2×#4111yescharacteristic
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312Dic22—22no—
313Dic22—22no—
314Dic22—22no—
315Dic22C4×D414yes—
316C11⋊C8—22no—
317C11⋊C8—22no—
318C11⋊C8—41no—
319C11⋊C8—41no—
320C22×SD16—111no—
321C22×SD16—111no—
322C2×#127C2×D1111yescharacteristic
323C2×C4×Q8—111no—
324C2×C4×Q8—111no—
325C2×C4×Q8—111no—
326C2×C4×D4C2×D1111yescharacteristic
327C2×C4×D4C2×D1111yescharacteristic
328#460—118no—
329#440—224no—
330C4×SD16—224no—
331C2×#107—111no—
332C2×#106—111no—
333C2×C4⋊C8—111no—
334C2×C4⋊C8—111no—
335C2×#103—111no—
336C2×#103—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#97—111no—
344C2×C4×C8—111no—
345#390C2×D1111yescharacteristic
346#390C2×D1111yescharacteristic
347#386—21no—
348#386—21no—
349#386—21no—
350#386—21no—
351#382C2×D1111yescharacteristic
352C4×C4⋊C4—111no—
353C4×C4⋊C4—111no—
354C4×C4⋊C4—111no—
355C4×C4⋊C4—221no—
356C4×C4⋊C4—221no—
357C4×C4⋊C4—221no—
358#376—221no—
359#376C2×D1111yescharacteristic
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#336—111no—
365#336—111no—
366C22×C11—42no—
367C22×C11—42no—
368C22×C11—42no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11—81no—
377C22×C11—81no—
378C22×C11—81no—
379C22×C11—81no—
380C22×C11C2×C4×D411yescharacteristic
381C22×C11C2×#12111yescharacteristic
382C22×C11#52511yescharacteristic
383C22×C11#57611yescharacteristic
384C22×C11#57711yescharacteristic
385C22×C11#57711yescharacteristic
386C22×C11#57711yescharacteristic
387C4×C11—22no—
388C4×C11—22no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—41no—
392C4×C11—41no—
393C4×C11—81no—
394C4×C11—81no—
395C4×C11C2×C4×D411yescharacteristic
396C4×C11C4×#4111yescharacteristic
397C4×C11#52911yescharacteristic
398C4×C11#53211yescharacteristic
399Dic11—24no—
400Dic11—42no—
401Dic11—42no—
402Dic11—42no—
403C22×Q8—111no—
404C22×D4—21no—
405C22×D4—21no—
406C22×D4C22×D1111yescharacteristic
407C22×D4C22×D1111yescharacteristic
408C23×C4—21no—
409C23×C4—21no—
410C2×SD16—114no—
411C2×SD16—114no—
412C2×SD16—222no—
413C2×SD16—222no—
414C2×SD16—222no—
415C2×SD16—222no—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8—111no—
420#127—22no—
421#127C4×D1114yes—
422C4×Q8—114no—
423C4×Q8—114no—
424C4×Q8—222no—
425C4×Q8—222no—
426C4×Q8—222no—
427C4×Q8—222no—
428C4×D4—22no—
429C4×D4—22no—
430C4×D4—22no—
431C4×D4—22no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—111no—
434C2×C4⋊C4—111no—
435C2×C4⋊C4—221no—
436C2×C4⋊C4—221no—
437C2×C4⋊C4—221no—
438C2×C4⋊C4C22×D1111yescharacteristic
439C2×C4⋊C4C22×D1111yescharacteristic
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C22⋊C4—21no—
443C2×C22⋊C4—21no—
444C2×C22⋊C4—21no—
445C2×C22⋊C4—21no—
446C2×C42—221no—
447C2×C42—221no—
448C2×C42—221no—
449C2×C42—221no—
450C2×C42—221no—
451C2×C42—221no—
452C2×C42C22×D1111yescharacteristic
453C2×C42C22×D1111yescharacteristic
454C2×C42C22×D1111yescharacteristic
455#107—222no—
456#106—222no—
457C4⋊C8—114no—
458C4⋊C8—222no—
459#103—222no—
460#103—222no—
461#102—114no—
462#102—114no—
463#102—222no—
464#102—222no—
465#102—222no—
466#102—222no—
467#97—222no—
468C4×C8—222no—
469#95—21no—
470#95—21no—
471#95—221no—
472#95—221no—
473#95—221no—
474#95C22⋊D1111yescharacteristic
475#95C22⋊D1111yescharacteristic
476#95C22⋊D1111yescharacteristic
477#95C22⋊D1111yescharacteristic
478C2×C11—82no—
479C2×C11—82no—
480C2×C11C4×#12111yescharacteristic
481C2×C11#294611yescharacteristic
482C2×C11#294911yescharacteristic
483C2×C11#304311yescharacteristic
484C2×C11#304511yescharacteristic
485C2×C11#311911yescharacteristic
486C2×C11#312611yescharacteristic
487C24—21no—
488C24—21no—
489C2×Q8—112no—
490C2×Q8—112no—
491C2×Q8—112no—
492C2×Q8—221no—
493C2×Q8—221no—
494C2×Q8—221no—
495C2×D4—24no—
496C2×D4—24no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—21no—
505C2×D4—21no—
506C2×D4—21no—
507C2×D4—81no—
508C2×D4—81no—
509C2×D4—81no—
510C2×D4—81no—
511C2×D4C2×C4×D1112yes—
512C2×D4C2×C4×D1112yes—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—221no—
525C22×C4C2×C22⋊D1111yescharacteristic
526C22×C4C2×C22⋊D1111yescharacteristic
527C22×C4C2×C22⋊D1111yescharacteristic
528C22×C4C2×C22⋊D1111yescharacteristic
529C22×C4C2×C22⋊D1111yescharacteristic
530C22×C4C2×C22⋊D1111yescharacteristic
531C22×C4C23×D1111yescharacteristic
532SD16—228no—
533SD16—228no—
534C2×C8—112no—
535C2×C8—112no—
536C2×C8—221no—
537C2×C8—221no—
538C2×C8—221no—
539C2×C8—221no—
540C2×C8—221no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—112no—
551C4⋊C4—112no—
552C4⋊C4—112no—
553C4⋊C4—224no—
554C4⋊C4—224no—
555C4⋊C4—224no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—81no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—81no—
565C42—21no—
566C42—21no—
567C42—224no—
568C42—224no—
569C42—224no—
570C42—881no—
571C42—881no—
572C42—881no—
573C42C2×C4×D1112yes—
574C42#433912yes—
575C42D4×D1112yes—
576C42#434112yes—
577C11#2151511yescharacteristic, complemented, Sylow
578C23—22no—
579C23—22no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23C22×C22⋊D1111yescharacteristic
593Q8—114no—
594Q8—222no—
595Q8—222no—
596Q8—222no—
597D4—22no—
598D4—22no—
599D4—22no—
600D4—22no—
601D4—41no—
602D4—41no—
603D4—41no—
604D4—41no—
605D4—84no—
606D4—84no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—84no—
628C2×C4—84no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4C4×C22⋊D1112yes—
642C2×C4C4×C22⋊D1112yes—
643C2×C4#6699112yes—
644C2×C4#6699112yes—
645C2×C4C22×C4×D1111yescharacteristic
646C2×C4C2×#433911yescharacteristic
647C2×C4C2×D4×D1111yescharacteristic
648C2×C4C2×#434111yescharacteristic
649C2×C4#41×D1111yescharacteristic
650C2×C4#41×D1111yescharacteristic
651C8—222no—
652C8—222no—
653C8—441no—
654C8—441no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—42no—
659C22—42no—
660C22—42no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—81no—
669C22C2×C4×C22⋊D1111yescharacteristic
670C22C2×#6699111yescharacteristic
671C22#1062335911yescharacteristic
672C22#1062336611yescharacteristic
673C22#1062336711yescharacteristic
674C22#1062336711yescharacteristic
675C22#1062336711yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—41no—
682C4—81no—
683C4—81no—
684C4—224no—
685C4—442no—
686C4—442no—
687C4—442no—
688C4C4×#434111yescharacteristic
689C4C4×D4×D1111yescharacteristic
690C4#1062307911yescharacteristic
691C4#1062308811yescharacteristic
692C2—82no—
693C2—82no—
694C2C4×#6699111yescharacteristic
695C2#1307744811yescharacteristic
696C2#1307747311yescharacteristic
697C2#1307813311yescharacteristic
698C2#1307815111yescharacteristic
699C2#1307880911yescharacteristic
700C2#1307890211yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2328C2
socleC23×C11C22×D4
prime radicalC2×C11×#127C22
cosocleC22×C4×C11C24
hypercenter#2328D11
hypocenterC11#21515
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ #376 ◁ #2328

Complements

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

NH ≅ G/Ntype
2. C2×#10622631C2semidirect
3. C2×C4×#4324C2semidirect
4. #13070979C2semidirect
6. #13069382C2semidirect
7. #13069240C2semidirect
8. #13069233C2semidirect
9. #13068974C2semidirect
10. #13068974C2semidirect
11. #13068628C2semidirect
12. #13068473C2semidirect
13. #13068441C2semidirect
14. C4×#66896C2semidirect
38. #10622688C4semidirect
90. C2×#4324C2×C4semidirect
91. C2×#4324C2×C4semidirect
112. C4×Dic22C2×C4semidirect
113. C4×Dic22D4semidirect
124. #66896C2×C4semidirect
125. #66896C2×C4semidirect
134. C4⋊(C11⋊C8)C2×C4semidirect
577. C11#21515semidirect

Maximal subgroups

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

subgroupindex
C2×#106226882
C2×#106226312
C2×C4×#43242
#130709792
#130695442
#130693822
#130692402
#130692332
#130689742
#130686282
#130684732
#130684412
C4×#668962
C11×#23282
#2151511