Finite Group Databasebeta

← #14760106

Subgroups — #14760106

Order 2816.

1056 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×#10622670C211yesmaximal, characteristic
2C2×#10622627C211yesmaximal, characteristic
3C2×C4×#4325C211yesmaximal, characteristic, complemented
4#13070978C211yesmaximal, characteristic, complemented
5#13069549C211yesmaximal, characteristic, complemented
6#13069377C211yesmaximal, characteristic, complemented
7#13069247C211yesmaximal, characteristic, complemented
8#13069240C211yesmaximal, characteristic, complemented
9#13068967C211yesmaximal, characteristic
10#13068953C211yesmaximal, characteristic, complemented
11#13068613C211yesmaximal, characteristic, complemented
12#13068473C211yesmaximal, characteristic, complemented
13#13068446C211yesmaximal, characteristic, complemented
14C4×#66896C211yesmaximal, characteristic, complemented
15C11×#2326C211yesmaximal, characteristic, complemented
16C2×C11×#124C2211yescharacteristic
17C2×C4×Q8×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19C22×#4325C2211yescharacteristic
20C22×#4323C2211yescharacteristic
21C2×C4×D44C2211yescharacteristic
22C2×C4×D44C2211yescharacteristic
23C2×C4×D44C2211yescharacteristic
24C11×#391C2211yescharacteristic
25C11×#390C2211yescharacteristic
26C11×#388—21no—
27C11×#388—21no—
28C11×#385—21no—
29C11×#385—21no—
30C11×#384C2211yescharacteristic
31C11×#376C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66899C2211yescharacteristic
34C2×#66899C2211yescharacteristic
35C2×#66896C2211yescharacteristic
36C2×#66896C2211yescharacteristic
37C2×#66896C2211yescharacteristic
38#10622670C418yescomplemented
39C4×#4325—24no—
40#10622627—24no—
41C2×#66873C2211yescharacteristic
42C2×#66873C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
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#10622279—21no—
53#10622279—21no—
54#10622279—21no—
55D11×#95—21no—
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622162C2211yescharacteristic
61#10622162C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C23×C4×C11—21no—
65C22×D44C2311yescharacteristic
66C22×C4×D11—21no—
67C22×C4×D11—21no—
68C22×C4×D11—21no—
69C11×#124—22no—
70C11×#124C2×C414yescomplemented
71C4×Q8×C11—22no—
72C4×Q8×C11—22no—
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C2×C11×C4⋊C4—21no—
76C2×C11×C4⋊C4—21no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C4⋊C4C2311yescharacteristic
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4—21no—
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C42×C11—21no—
86C2×C42×C11C2311yescharacteristic
87C2×C42×C11C2311yescharacteristic
88C2×C42×C11C2311yescharacteristic
89C2×#4325—22no—
90C2×#4325—22no—
91C2×#4325C2×C414yescomplemented
92C2×#4323—22no—
93C2×#4323—22no—
94C2×#4323C2×C414yes—
95C2×(C2×D11)⋊C4—21no—
96C2×(C2×D11)⋊C4—21no—
97C2×(C2×D11)⋊C4—21no—
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4⋊Dic11C2311yescharacteristic
100C2×C4⋊Dic11C2311yescharacteristic
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×D44—22no—
109C4×D44—22no—
110C4×D44—22no—
111C4×D44—22no—
112C4×D44C2×C414yescomplemented
113C4×D44D414yes—
114C11×#95—21no—
115C11×#95—21no—
116C11×#95D411yescharacteristic
117C11×#95D411yescharacteristic
118C11×#95D411yescharacteristic
119C11×#95D411yescharacteristic
120#66899—22no—
121#66899—22no—
122#66899C2×C414yescomplemented
123#66896—22no—
124#66896—22no—
125#66896C2×C414yescomplemented
126C11⋊#95—21no—
127C11⋊#95—21no—
128C11⋊#95—21no—
129#66873—22no—
130#66873—22no—
131#66872—22no—
132#66872—22no—
133C4⋊(C11⋊C8)—22no—
134C4⋊(C11⋊C8)C2×C414yescomplemented
135#66867—22no—
136C4×C11⋊C8—22no—
137#21510—111nomaximal, Sylow
138C24×C11—21no—
139C23×D11—21no—
140C2×Q8×C11—21no—
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11C22×C412yes—
146C2×D4×C11—21no—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11C22×C412yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—42no—
156C22×C4×C11—81no—
157C22×C4×C11—81no—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×D411yescharacteristic
163C22×C4×C11C2×D411yescharacteristic
164C22×C4×C11C2411yescharacteristic
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C2×D44—21no—
169C2×D44—21no—
170C2×D44—21no—
171C2×D44C22×C412yes—
172C2×D44C2×D412yes—
173C2×D44#4112yes—
174C2×C4×D11—24no—
175C2×C4×D11—24no—
176C2×C4×D11—24no—
177C2×C4×D11—81no—
178C2×C4×D11—81no—
179C2×C4×D11—81no—
180C2×C4×D11—81no—
181C2×C4×D11—81no—
182C2×C4×D11—81no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—21no—
187C11×C4⋊C4—42no—
188C11×C4⋊C4—81no—
189C11×C4⋊C4—81no—
190C11×C22⋊C4—24no—
191C11×C22⋊C4—24no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—81no—
194C11×C22⋊C4—81no—
195C42×C11—21no—
196C42×C11—21no—
197C42×C11—42no—
198C42×C11C22×C412yes—
199C42×C11C2×D412yes—
200C42×C11#4112yes—
201C42×C11#4112yes—
202#4325—28no—
203#4323—28no—
204(C2×D11)⋊C4—24no—
205(C2×D11)⋊C4—24no—
206(C2×D11)⋊C4—24no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11C22×C412yes—
211C4⋊Dic11C2×D412yes—
212C4⋊Dic11#4112yes—
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×#463—111no—
229C2×#442—111no—
230C2×C4×SD16—111no—
231#2326D1111yescharacteristic, complemented
232#2275—111no—
233#1983—111no—
234#1948—111no—
235#1927—111no—
236#1926—111no—
237#1879—111no—
238#1877—111no—
239#1802—111no—
240#1768—111no—
241#1763—111no—
242C4×#102—111no—
243C23×C11—22no—
244C23×C11—41no—
245C23×C11—41no—
246C23×C11—41no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11C22×D411yescharacteristic
251C22×D11—22no—
252C22×D11—22no—
253C22×D11—22no—
254C22×D11—41no—
255C22×D11—41no—
256C22×D11—41no—
257C22×D11—41no—
258Q8×C11—22no—
259Q8×C11—22no—
260Q8×C11—41no—
261Q8×C11—41no—
262D4×C11—22no—
263D4×C11—22no—
264D4×C11—41no—
265D4×C11—41no—
266C2×C4×C11—21no—
267C2×C4×C11—21no—
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—22no—
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—41no—
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—41no—
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—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309D44—22no—
310D44—22no—
311D44—22no—
312D44C4×D414yes—
313C4×D11—84no—
314C4×D11—84no—
315C4×D11—84no—
316C11⋊C8—22no—
317C11⋊C8—22no—
318C11⋊C8—41no—
319C11⋊C8—41no—
320C22×SD16—111no—
321C22×D8—111no—
322C2×#124C2×D1111yescharacteristic
323C2×C4×Q8C2×D1111yescharacteristic
324C2×C4×D4—111no—
325C2×C4×D4—111no—
326C2×C4×D4—111no—
327C2×C4×D4C2×D1111yescharacteristic
328#463—118no—
329#442—224no—
330C4×SD16—224no—
331C2×#106—111no—
332C2×#106—111no—
333C2×C4⋊C8—111no—
334C2×C4⋊C8—111no—
335C2×#103—111no—
336C2×#103—111no—
337C2×#103—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×#102—111no—
342C2×#102—111no—
343C2×#97—111no—
344C2×C4×C8—111no—
345#391C2×D1111yescharacteristic
346#390C2×D1111yescharacteristic
347#388—21no—
348#388—21no—
349#385—21no—
350#385—21no—
351#384C2×D1111yescharacteristic
352C4×C4⋊C4—111no—
353C4×C4⋊C4—111no—
354C4×C4⋊C4—111no—
355C4×C22⋊C4—221no—
356C4×C22⋊C4—221no—
357C4×C22⋊C4—221no—
358#376C2×D1111yescharacteristic
359C2×#95—221no—
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—81no—
370C22×C11—81no—
371C22×C11—81no—
372C22×C11—81no—
373C22×C11C2×C4×D411yescharacteristic
374C22×C11C2×#12111yescharacteristic
375C22×C11#52511yescharacteristic
376C22×C11#57611yescharacteristic
377C22×C11#57711yescharacteristic
378C22×C11#57711yescharacteristic
379C22×C11#57711yescharacteristic
380C2×D11—24no—
381C2×D11—42no—
382C2×D11—42no—
383C2×D11—42no—
384C2×D11—42no—
385C2×D11—42no—
386C2×D11—42no—
387C4×C11—22no—
388C4×C11—22no—
389C4×C11—22no—
390C4×C11—22no—
391C4×C11—41no—
392C4×C11—41no—
393C4×C11—42no—
394C4×C11—81no—
395C4×C11—81no—
396C4×C11C2×C4×D411yescharacteristic
397C4×C11C4×#4111yescharacteristic
398C4×C11#52911yescharacteristic
399C4×C11#53211yescharacteristic
400Dic11—42no—
401Dic11—42no—
402Dic11—42no—
403C22×Q8C22×D1111yescharacteristic
404C22×D4—111no—
405C22×D4C22×D1111yescharacteristic
406C23×C4—21no—
407C23×C4—221no—
408C23×C4—221no—
409C23×C4—221no—
410C2×SD16—114no—
411C2×SD16—222no—
412C2×SD16—222no—
413C2×D8—114no—
414C2×D8—222no—
415C2×D8—222no—
416C22×C8—111no—
417C22×C8—111no—
418C22×C8—111no—
419C22×C8—111no—
420#124—22no—
421#124C4×D1114yescomplemented
422C4×Q8—22no—
423C4×Q8—22no—
424C4×D4—22no—
425C4×D4—22no—
426C4×D4—114no—
427C4×D4—114no—
428C4×D4—222no—
429C4×D4—222no—
430C4×D4—222no—
431C4×D4—222no—
432C2×C4⋊C4—21no—
433C2×C4⋊C4—21no—
434C2×C4⋊C4—21no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
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—221no—
446C2×C22⋊C4—221no—
447C2×C22⋊C4—221no—
448C2×C42—21no—
449C2×C42—221no—
450C2×C42—221no—
451C2×C42—221no—
452C2×C42C22×D1111yescharacteristic
453C2×C42C22×D1111yescharacteristic
454C2×C42C22×D1111yescharacteristic
455#106—222no—
456#106—222no—
457C4⋊C8—114no—
458C4⋊C8—222no—
459#103—114no—
460#103—222no—
461#103—222no—
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×C11C4×#12111yescharacteristic
480C2×C11#294611yescharacteristic
481C2×C11#295211yescharacteristic
482C2×C11#304211yescharacteristic
483C2×C11#304511yescharacteristic
484C2×C11#311811yescharacteristic
485C2×C11#312511yescharacteristic
486D11—44no—
487C24—21no—
488C24—221no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8—21no—
494C2×Q8C2×C4×D1112yes—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—112no—
501C2×D4—112no—
502C2×D4—112no—
503C2×D4—221no—
504C2×D4—221no—
505C2×D4—221no—
506C2×D4C2×C4×D1112yes—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—42no—
511C22×C4—81no—
512C22×C4—81no—
513C22×C4—224no—
514C22×C4—221no—
515C22×C4—221no—
516C22×C4—221no—
517C22×C4—224no—
518C22×C4—224no—
519C22×C4—881no—
520C22×C4—881no—
521C22×C4—881no—
522C22×C4—881no—
523C22×C4—881no—
524C22×C4—881no—
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—
533D8—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—42no—
551C4⋊C4—81no—
552C4⋊C4—81no—
553C4⋊C4—112no—
554C4⋊C4—112no—
555C4⋊C4—112no—
556C4⋊C4—221no—
557C4⋊C4—221no—
558C4⋊C4—221no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—42no—
562C22⋊C4—81no—
563C22⋊C4—81no—
564C22⋊C4—224no—
565C22⋊C4—224no—
566C22⋊C4—224no—
567C42—21no—
568C42—21no—
569C42—42no—
570C42—881no—
571C42—881no—
572C42—881no—
573C42C2×C4×D1112yes—
574C42#433912yes—
575C42D4×D1112yes—
576C42#434112yes—
577C11#2151011yescharacteristic, complemented, Sylow
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—222no—
586C23—222no—
587C23—222no—
588C23—441no—
589C23—441no—
590C23—441no—
591C23—441no—
592C23C22×C22⋊D1111yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—41no—
596Q8—41no—
597D4—22no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—114no—
602D4—222no—
603D4—222no—
604D4—222no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—84no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—441no—
633C2×C4—441no—
634C2×C4—441no—
635C2×C4—441no—
636C2×C4—441no—
637C2×C4—441no—
638C2×C4—884no—
639C2×C4—884no—
640C2×C4—884no—
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—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—224no—
663C22—442no—
664C22—442no—
665C22—442no—
666C22—442no—
667C22—442no—
668C22—442no—
669C22C2×C4×C22⋊D1111yescharacteristic
670C22C2×#6699111yescharacteristic
671C22#1062335911yescharacteristic
672C22#1062336611yescharacteristic
673C22#1062336711yescharacteristic
674C22#1062336811yescharacteristic
675C22#1062336811yescharacteristic
676C4—22no—
677C4—22no—
678C4—22no—
679C4—22no—
680C4—41no—
681C4—42no—
682C4—41no—
683C4—81no—
684C4—81no—
685C4—442no—
686C4—442no—
687C4—442no—
688C4C4×#434111yescharacteristic
689C4C4×D4×D1111yescharacteristic
690C4#1062307911yescharacteristic
691C4#1062308811yescharacteristic
692C2—82no—
693C2—444no—
694C2C4×#6699111yescharacteristic
695C2#1307744411yescharacteristic
696C2#1307749711yescharacteristic
697C2#1307812411yescharacteristic
698C2#1307815111yescharacteristic
699C2#1307879411yescharacteristic
700C2#1307888711yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2326C2
socleC23×C11C22×D4
prime radicalC22×#4323C22
cosocleC22×C4×C11C24
hypercenter#2326D11
hypocenterC11#21510
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ #376 ◁ #2326

Complements

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

NH ≅ G/Ntype
3. C2×C4×#4325C2semidirect
4. #13070978C2semidirect
5. #13069549C2semidirect
6. #13069377C2semidirect
7. #13069247C2semidirect
8. #13069240C2semidirect
10. #13068953C2semidirect
11. #13068613C2semidirect
12. #13068473C2semidirect
13. #13068446C2semidirect
14. C4×#66896C2semidirect
15. C11×#2326C2semidirect
38. #10622670C4semidirect
70. C11×#124C2×C4semidirect
91. C2×#4325C2×C4semidirect
112. C4×D44C2×C4semidirect
122. #66899C2×C4semidirect
125. #66896C2×C4semidirect
134. C4⋊(C11⋊C8)C2×C4semidirect
231. #2326D11semidirect
421. #124C4×D11semidirect
577. C11#21510semidirect

Maximal subgroups

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

subgroupindex
C2×#106226702
C2×#106226272
C2×C4×#43252
#130709782
#130695492
#130693772
#130692472
#130692402
#130689672
#130689532
#130686132
#130684732
#130684462
C4×#668962
C11×#23262
#2151011