Finite Group Databasebeta

← #14804111

Subgroups — #14804111

Order 2816.

916 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622622C211yesmaximal, characteristic, complemented
2C2×#10622624C211yesmaximal, characteristic, complemented
3#13073782C211yesmaximal, characteristic, complemented
4#13070053C211yesmaximal, characteristic, complemented
5#13070042C211yesmaximal, characteristic, complemented
6#13069802C211yesmaximal, characteristic, complemented
7#13069802C211yesmaximal, characteristic, complemented
8#13069584C211yesmaximal, characteristic, complemented
9#13069377C211yesmaximal, characteristic, complemented
10#13069055C211yesmaximal, characteristic, complemented
11#13069045C211yesmaximal, characteristic, complemented
12#13068647C211yesmaximal, characteristic, complemented
13#13068639C211yesmaximal, characteristic, complemented
14#13068441C211yesmaximal, characteristic, complemented
15C11×#2537C211yesmaximal, characteristic
16C2×C11×#121—21no—
17C2×C11×#121C2211yescharacteristic
18C2×C11×#121C2211yescharacteristic
19C2×C4×D4×C11C2211yescharacteristic
20C2×C4×D4×C11C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C23×C11⋊C8C2211yescharacteristic
23C2×#66923C2211yescharacteristic
24C11×#394—21no—
25C11×#394—21no—
26C11×#384C2211yescharacteristic
27C11×#380—21no—
28C11×#380C2211yescharacteristic
29C11×#380C2211yescharacteristic
30#10622835—21no—
31C2×#66896C2211yescharacteristic
32C2×#66896C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622825C2211yescharacteristic
36#10622825C2211yescharacteristic
37#10622825C2211yescharacteristic
38#10622825C2211yescharacteristic
39C2×C22⋊(C11⋊C8)C2211yescharacteristic
40C2×C22⋊(C11⋊C8)C2211yescharacteristic
41#10622624—24no—
42#10622622—24no—
43#10622595—21no—
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66872C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48#10622558—21no—
49#10622558—21no—
50C4×C4⋊Dic11C2211yescharacteristic
51C2×C4⋊(C11⋊C8)C2211yescharacteristic
52C2×#66867C2211yescharacteristic
53#10622167C2211yescharacteristic
54#10622167C2211yescharacteristic
55#10622167C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61C22×D4×C11—21no—
62C22×D4×C11—21no—
63C22×D4×C11D411yescharacteristic
64C22×D4×C11C2311yescharacteristic
65C23×C4×C11—21no—
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C11×#121—22no—
69C11×#121—22no—
70C11×#121—41no—
71C11×#121—41no—
72C11×#121—44no—
73C4×D4×C11—22no—
74C4×D4×C11—22no—
75C4×D4×C11—22no—
76C4×D4×C11—22no—
77C2×C11×C4⋊C4—21no—
78C2×C11×C4⋊C4—21no—
79C2×C11×C4⋊C4D411yescharacteristic
80C2×C11×C4⋊C4C2311yescharacteristic
81C2×C11×C4⋊C4C2311yescharacteristic
82C2×C11×C4⋊C4C2311yescharacteristic
83C2×C11×C22⋊C4—21no—
84C2×C11×C22⋊C4—21no—
85C2×C11×C22⋊C4—21no—
86C2×C11×C22⋊C4—21no—
87C2×C11×C22⋊C4—21no—
88C2×C11×C22⋊C4D411yescharacteristic
89C2×C11×C22⋊C4D411yescharacteristic
90C2×C42×C11C2311yescharacteristic
91C2×C22⋊Dic11—21no—
92C2×C22⋊Dic11—21no—
93C2×C22⋊Dic11—21no—
94C2×C22⋊Dic11—21no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×Dic11⋊C4—21no—
100C2×Dic11⋊C4—21no—
101C2×C4×Dic11—21no—
102C2×#4318—22no—
103C2×#4318—22no—
104C2×#4318—41no—
105C22×C11⋊C8—22no—
106C22×C11⋊C8—22no—
107C22×C11⋊C8—41no—
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C22×C11⋊C8C2311yescharacteristic
112#66923—22no—
113#66923—22no—
114C11×#95—21no—
115C11×#95—21no—
116#66896—22no—
117#66896—22no—
118#66896—22no—
119#66896—22no—
120C11⋊#95—21no—
121C11⋊#95—21no—
122C11⋊#95—21no—
123C11⋊#95—21no—
124C11⋊#95—21no—
125C22⋊(C11⋊C8)—22no—
126C22⋊(C11⋊C8)—22no—
127#66872—22no—
128#66872—41no—
129#66872—41no—
130#66871—22no—
131C4⋊(C11⋊C8)D414yescomplemented
132#66867—22no—
133#25355—111nomaximal, Sylow
134C24×C11—21no—
135C24×C11C2×D411yescharacteristic
136C24×C11C2×D411yescharacteristic
137C2×D4×C11—22no—
138C2×D4×C11—22no—
139C2×D4×C11—21no—
140C2×D4×C11—21no—
141C2×D4×C11—21no—
142C2×D4×C11—21no—
143C2×D4×C11—21no—
144C2×D4×C11—41no—
145C2×D4×C11—42no—
146C2×D4×C11—42no—
147C2×D4×C11—42no—
148C2×D4×C11—42no—
149C2×D4×C11—81no—
150C2×D4×C11—81no—
151C2×D4×C11#4112yes—
152C22×C4×C11—21no—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11—21no—
157C22×C4×C11—21no—
158C22×C4×C11—21no—
159C22×C4×C11—21no—
160C22×C4×C11—21no—
161C22×C4×C11—21no—
162C22×C4×C11—21no—
163C22×C4×C11—21no—
164C22×C4×C11—21no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—42no—
168C22×C4×C11—42no—
169C22×C4×C11—42no—
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D411yescharacteristic
173C22×C4×C11C2×D411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C22×Dic11—21no—
176C22×Dic11—21no—
177C22×Dic11—21no—
178C22×Dic11—21no—
179C11×C4⋊C4—22no—
180C11×C4⋊C4—21no—
181C11×C4⋊C4—21no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—21no—
184C11×C4⋊C4—21no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4—42no—
187C11×C4⋊C4—81no—
188C11×C22⋊C4—22no—
189C11×C22⋊C4—22no—
190C11×C22⋊C4—42no—
191C11×C22⋊C4—42no—
192C11×C22⋊C4—42no—
193C11×C22⋊C4—42no—
194C11×C22⋊C4—42no—
195C42×C11C2×D412yes—
196C42×C11#4112yes—
197C22⋊Dic11—42no—
198C22⋊Dic11—42no—
199C22⋊Dic11—81no—
200C22⋊Dic11—81no—
201C4⋊Dic11—21no—
202C4⋊Dic11—21no—
203C4⋊Dic11—21no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209Dic11⋊C4—42no—
210Dic11⋊C4—42no—
211C4×Dic11—81no—
212#4318—44no—
213C2×C11⋊C8—21no—
214C2×C11⋊C8—21no—
215C2×C11⋊C8—21no—
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—44no—
223C2×C11⋊C8C2×D412yes—
224C2×C11⋊C8C2×D412yes—
225C2×C11⋊C8#4112yes—
226C2×#478—111no—
227C2×#435—111no—
228#2562—111no—
229#2537D1111yescharacteristic
230#2077—111no—
231#2075—111no—
232#2034—111no—
233#2034—111no—
234#1992—111no—
235#1948—111no—
236#1895—111no—
237#1893—111no—
238#1809—111no—
239#1807—111no—
240#1762—111no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11—21no—
247C23×C11—21no—
248C23×C11—22no—
249C23×C11—21no—
250C23×C11—21no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11—41no—
256C23×C11—41no—
257C23×C11—41no—
258C23×C11—41no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11AGL(1,ℤ/8)12yes—
262C23×C11C22×D411yescharacteristic
263D4×C11—22no—
264D4×C11—22no—
265D4×C11—44no—
266D4×C11—41no—
267D4×C11—41no—
268D4×C11—84no—
269D4×C11—84no—
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—41no—
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—41no—
290C2×C4×C11—41no—
291C2×C4×C11—41no—
292C2×C4×C11—41no—
293C2×C4×C11—41no—
294C2×C4×C11—41no—
295C2×C4×C11—41no—
296C2×C4×C11—41no—
297C2×C4×C11—84no—
298C2×C4×C11#12112yes—
299C2×C4×C11#12112yes—
300C2×C4×C11C22×D411yescharacteristic
301C2×C4×C11C2×#4111yescharacteristic
302C2×C4×C11C2×#4111yescharacteristic
303C2×C4×C11C2×#4111yescharacteristic
304C2×C4×C11H(5,𝔽2)11yescharacteristic
305C2×C4×C112−1+411yescharacteristic
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—41no—
310C2×Dic11—41no—
311C2×Dic11—41no—
312C2×Dic11—41no—
313C2×Dic11—41no—
314C2×Dic11—41no—
315C2×Dic11—41no—
316C2×Dic11—41no—
317C2×Dic11—41no—
318C11⋊C8—22no—
319C11⋊C8—22no—
320C11⋊C8—22no—
321C11⋊C8—41no—
322C22×M16—111no—
323C23×C8—111no—
324C2×#125—111no—
325C2×#121—21no—
326C2×#121C2×D1111yescharacteristic
327C2×#121C2×D1111yescharacteristic
328C2×C4×D4C2×D1111yescharacteristic
329C2×C4×D4C2×D1111yescharacteristic
330#478—224no—
331#435—224no—
332C2×#107—111no—
333C2×#106—111no—
334C2×#106—111no—
335C2×#106—111no—
336C2×C4⋊C8—111no—
337C2×#102—111no—
338C2×#102—111no—
339C2×#102—111no—
340C2×#102—111no—
341C2×C22⋊C8—111no—
342C2×C22⋊C8—111no—
343C2×#97—111no—
344#400—221no—
345#394—21no—
346#394—21no—
347#394—221no—
348#388—221no—
349#388—221no—
350#384C2×D1111yescharacteristic
351#380—21no—
352#380—111no—
353#380—111no—
354#380—111no—
355#380—111no—
356#380C2×D1111yescharacteristic
357#380C2×D1111yescharacteristic
358C4×C4⋊C4—111no—
359#340—111no—
360#340—111no—
361#340—111no—
362#340—111no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367C22×C11—22no—
368C22×C11—22no—
369C22×C11—22no—
370C22×C11—41no—
371C22×C11—41no—
372C22×C11—41no—
373C22×C11—41no—
374C22×C11—41no—
375C22×C11—41no—
376C22×C11—41no—
377C22×C11—42no—
378C22×C11—41no—
379C22×C11—42no—
380C22×C11—41no—
381C22×C11—42no—
382C22×C11—41no—
383C22×C11—41no—
384C22×C11—81no—
385C22×C11—81no—
386C22×C11—81no—
387C22×C11—81no—
388C22×C11C2×#12111yescharacteristic
389C22×C11#54611yescharacteristic
390C22×C11#54711yescharacteristic
391C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
392C22×C11#57511yescharacteristic
393C22×C11#57711yescharacteristic
394C22×C11#57711yescharacteristic
395C4×C11—22no—
396C4×C11—22no—
397C4×C11—41no—
398C4×C11—41no—
399C4×C11—81no—
400C4×C11—81no—
401C4×C11—81no—
402C4×C11#52911yescharacteristic
403C4×C11#54211yescharacteristic
404C4×C11#54611yescharacteristic
405C4×C11#54811yescharacteristic
406Dic11—81no—
407Dic11—81no—
408Dic11—81no—
409Dic11—81no—
410C22×D4—21no—
411C22×D4—21no—
412C22×D4C22⋊D1111yescharacteristic
413C22×D4C22×D1111yescharacteristic
414C23×C4—21no—
415C23×C4C22×D1111yescharacteristic
416C23×C4C22×D1111yescharacteristic
417C2×M16—222no—
418C2×M16—222no—
419C2×M16—441no—
420C22×C8—111no—
421C22×C8—111no—
422C22×C8—111no—
423C22×C8—111no—
424C22×C8—222no—
425C22×C8—222no—
426C22×C8—441no—
427#125—222no—
428#125—222no—
429#121—22no—
430#121—22no—
431#121—41no—
432#121—41no—
433#121—44no—
434C4×D4—22no—
435C4×D4—22no—
436C4×D4—22no—
437C4×D4—22no—
438C2×C4⋊C4—21no—
439C2×C4⋊C4—21no—
440C2×C4⋊C4—111no—
441C2×C4⋊C4—111no—
442C2×C4⋊C4—111no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—221no—
445C2×C4⋊C4—221no—
446C2×C4⋊C4C22⋊D1111yescharacteristic
447C2×C4⋊C4C22×D1111yescharacteristic
448C2×C4⋊C4C22×D1111yescharacteristic
449C2×C4⋊C4C22×D1111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—21no—
452C2×C22⋊C4—21no—
453C2×C22⋊C4—21no—
454C2×C22⋊C4—21no—
455C2×C22⋊C4—221no—
456C2×C22⋊C4—221no—
457C2×C22⋊C4—221no—
458C2×C22⋊C4—221no—
459C2×C22⋊C4C22⋊D1111yescharacteristic
460C2×C22⋊C4C22⋊D1111yescharacteristic
461C2×C42—221no—
462C2×C42C22×D1111yescharacteristic
463#107—222no—
464#106—222no—
465#106—441no—
466#106—441no—
467C4⋊C8—114no—
468#102—222no—
469#102—222no—
470#102—222no—
471#102—222no—
472C22⋊C8—222no—
473C22⋊C8—222no—
474#97—222no—
475#95—21no—
476#95—21no—
477#95—221no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482C2×C11—42no—
483C2×C11—81no—
484C2×C11—82no—
485C2×C11#242711yescharacteristic
486C2×C11#305511yescharacteristic
487C2×C11#306011yescharacteristic
488C2×C11#330711yescharacteristic
489C2×C11#331011yescharacteristic
490C2×C11#334511yescharacteristic
491C2×C11#334811yescharacteristic
492C24—21no—
493C24C2×C22⋊D1111yescharacteristic
494C24C2×C22⋊D1111yescharacteristic
495C2×D4—22no—
496C2×D4—22no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—41no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—81no—
508C2×D4—81no—
509C2×D4#434112yes—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—221no—
529C22×C4—221no—
530C22×C4—221no—
531C22×C4—221no—
532C22×C4C2×C22⋊D1111yescharacteristic
533C22×C4C2×C22⋊D1111yescharacteristic
534C22×C4C2×C22⋊D1111yescharacteristic
535C22×C4C2×C22⋊D1111yescharacteristic
536C22×C4C23×D1111yescharacteristic
537M16—444no—
538C2×C8—112no—
539C2×C8—112no—
540C2×C8—112no—
541C2×C8—221no—
542C2×C8—221no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8—221no—
548C2×C8—221no—
549C2×C8—221no—
550C2×C8—444no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—21no—
557C4⋊C4—21no—
558C4⋊C4—42no—
559C4⋊C4—81no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—221no—
565C4⋊C4—221no—
566C4⋊C4—221no—
567C4⋊C4—221no—
568C4⋊C4—442no—
569C4⋊C4—442no—
570C22⋊C4—22no—
571C22⋊C4—22no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—442no—
578C22⋊C4—442no—
579C22⋊C4—881no—
580C22⋊C4—881no—
581C42—881no—
582C42D4×D1112yes—
583C42#434112yes—
584C11#2535511yescharacteristic, complemented, Sylow
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—22no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—41no—
600C23—41no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23#6698512yes—
606C23C22×C22⋊D1111yescharacteristic
607D4—22no—
608D4—22no—
609D4—44no—
610D4—41no—
611D4—41no—
612D4—84no—
613D4—84no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—84no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—441no—
649C2×C4—441no—
650C2×C4—441no—
651C2×C4—441no—
652C2×C4—441no—
653C2×C4—441no—
654C2×C4#6699212yes—
655C2×C4#6699212yes—
656C2×C4C2×D4×D1111yescharacteristic
657C2×C4C2×#434111yescharacteristic
658C2×C4C2×#434111yescharacteristic
659C2×C4#6703711yescharacteristic
660C2×C4#41×D1111yescharacteristic
661C2×C4#6704311yescharacteristic
662C8—222no—
663C8—222no—
664C8—222no—
665C8—441no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—42no—
676C22—41no—
677C22—41no—
678C22—42no—
679C22—41no—
680C22—42no—
681C22—41no—
682C22—41no—
683C22—81no—
684C22—81no—
685C22—81no—
686C22—81no—
687C22C2×#6698511yescharacteristic
688C22C2×#6699211yescharacteristic
689C22#1062333711yescharacteristic
690C22#1062335311yescharacteristic
691C22#1062335511yescharacteristic
692C22#1062336711yescharacteristic
693C22#1062336811yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—41no—
698C4—81no—
699C4—81no—
700C4—81no—
701C4—881no—
702C4—881no—
703C4—881no—
704C4—881no—
705C4#1062312911yescharacteristic
706C4#1062313111yescharacteristic
707C4#1062313411yescharacteristic
708C4#1062314311yescharacteristic
709C2—42no—
710C2—81no—
711C2—82no—
712C2#1307219511yescharacteristic
713C2#1307823111yescharacteristic
714C2#1307827511yescharacteristic
715C2#1308059211yescharacteristic
716C2#1308063711yescharacteristic
717C2#1308108611yescharacteristic
718C2#1308113111yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutator, cosocleC22×C4×C11C24
FrattiniC22×C4C23×D11
Fitting, prime radicalC11×#2537C2
socleC23×C11C22×D4
hypercenter#2537D11
hypocenterC11#25355
LCSG ▷ C22×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2537

Complements

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

NH ≅ G/Ntype
1. C2×#10622622C2semidirect
2. C2×#10622624C2semidirect
3. #13073782C2semidirect
4. #13070053C2semidirect
5. #13070042C2semidirect
6. #13069802C2semidirect
7. #13069802C2semidirect
8. #13069584C2semidirect
9. #13069377C2semidirect
10. #13069055C2semidirect
11. #13069045C2semidirect
12. #13068647C2semidirect
13. #13068639C2semidirect
14. #13068441C2semidirect
131. C4⋊(C11⋊C8)D4semidirect
584. C11#25355semidirect

Maximal subgroups

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

subgroupindex
C2×#106226222
C2×#106226242
#130737822
#130700532
#130700422
#130698022
#130695842
#130693772
#130690552
#130690452
#130686472
#130686392
#130684412
C11×#25372
#2535511