Finite Group Databasebeta

← #14772012

Subgroups — #14772012

Order 2816.

978 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622625C211yesmaximal, characteristic
2C2×#10622608C211yesmaximal, characteristic, complemented
3C2×#10622577C211yesmaximal, characteristic, complemented
4#13071545C211yesmaximal, characteristic
5#13069384C211yesmaximal, characteristic, complemented
6#13069382C211yesmaximal, characteristic, complemented
7#13068815C211yesmaximal, characteristic, complemented
8#13068813C211yesmaximal, characteristic, complemented
9#13068809C211yesmaximal, characteristic, complemented
10#13068808C211yesmaximal, characteristic, complemented
11#13068778C211yesmaximal, characteristic, complemented
12#13068647C211yesmaximal, characteristic, complemented
13#13068647C211yesmaximal, characteristic, complemented
14C4×#66872C211yesmaximal, characteristic, complemented
15C11×#2352C211yesmaximal, characteristic
16C2×C4×D4×C11C2211yescharacteristic
17C2×C11×#117C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C2×#66979C2211yescharacteristic
20C22×C4⋊Dic11C2211yescharacteristic
21C22×#4318C2211yescharacteristic
22C22×#4318C2211yescharacteristic
23C11×#388—21no—
24C11×#387—21no—
25C11×#386—21no—
26C11×#382C2211yescharacteristic
27C11×#380C2211yescharacteristic
28C11×#380C2211yescharacteristic
29C4×C11×C4⋊C4C2211yescharacteristic
30C4×C11×C22⋊C4—21no—
31#10622833—21no—
32#10622825C2211yescharacteristic
33#10622825C2211yescharacteristic
34C2×C22⋊(C11⋊C8)C2211yescharacteristic
35C2×C22⋊(C11⋊C8)C2211yescharacteristic
36#10622625C418yescomplemented
37#10622608—24no—
38#10622594—21no—
39#10622577—24no—
40C2×#66872C2211yescharacteristic
41C2×#66872C2211yescharacteristic
42C2×#66872C2211yescharacteristic
43C2×#66872C2211yescharacteristic
44C2×#66872C2211yescharacteristic
45C2×#66872C2211yescharacteristic
46C2×#66871C2211yescharacteristic
47C2×#66871C2211yescharacteristic
48C2×#66871C2211yescharacteristic
49C2×#66871C2211yescharacteristic
50#10622564—21no—
51C22⋊C4×Dic11—21no—
52#10622549C2211yescharacteristic
53C4×C4⋊Dic11C2211yescharacteristic
54C2×C4⋊(C11⋊C8)C2211yescharacteristic
55C2×C4×C11⋊C8C2211yescharacteristic
56#10622167C2211yescharacteristic
57#10622167C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×D4×C11D411yescharacteristic
63C23×C4×C11—21no—
64C23×C4×C11C2311yescharacteristic
65C23×C4×C11C2311yescharacteristic
66C23×Dic11—21no—
67C4×D4×C11C2×C414yes—
68C4×D4×C11Q814yes—
69C11×#117—22no—
70C11×#117—41no—
71C2×C11×C4⋊C4—22no—
72C2×C11×C4⋊C4—21no—
73C2×C11×C4⋊C4—41no—
74C2×C11×C4⋊C4D411yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C4⋊C4C2311yescharacteristic
77C2×C11×C4⋊C4C2311yescharacteristic
78C2×C11×C4⋊C4C2311yescharacteristic
79C2×C11×C22⋊C4—21no—
80C2×C11×C22⋊C4—21no—
81C2×C11×C22⋊C4—21no—
82C2×C11×C22⋊C4D411yescharacteristic
83C2×C11×C22⋊C4D411yescharacteristic
84C2×C42×C11—21no—
85C2×C42×C11—21no—
86C2×C42×C11C2311yescharacteristic
87C2×C22⋊Dic11—21no—
88C2×C22⋊Dic11—21no—
89C2×C22⋊Dic11—21no—
90#66979—22no—
91#66979—41no—
92C2×C4⋊Dic11—22no—
93C2×C4⋊Dic11—21no—
94C2×C4⋊Dic11—41no—
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×C4⋊Dic11C2311yescharacteristic
98C2×C4⋊Dic11C2311yescharacteristic
99C2×C4×Dic11—21no—
100C2×C4×Dic11—21no—
101C2×#4318—22no—
102C2×#4318—22no—
103C2×#4318—22no—
104C2×#4318—22no—
105C2×#4318C2×C414yescomplemented
106C2×#4318C2×C414yescomplemented
107C22×C11⋊C8C2311yescharacteristic
108C22×C11⋊C8C2311yescharacteristic
109C22×C11⋊C8C2311yescharacteristic
110C22×C11⋊C8C2311yescharacteristic
111C11×#95—21no—
112C11×#95—21no—
113C11×#95—21no—
114C11×#95—21no—
115C11×#95—21no—
116C11⋊#95—21no—
117C11⋊#95—21no—
118C11⋊#95—21no—
119C11⋊#95—21no—
120C11⋊#95—21no—
121C22⋊(C11⋊C8)C2×C414yescomplemented
122C22⋊(C11⋊C8)C2×C414yescomplemented
123#66872—22no—
124#66872—22no—
125#66872—22no—
126#66872—41no—
127#66872—41no—
128#66872D414yescomplemented
129#66871—22no—
130#66871—22no—
131#66871—22no—
132#66871—22no—
133C4⋊(C11⋊C8)C2×C414yescomplemented
134C4×C11⋊C8C2×C414yescomplemented
135#22666—111nomaximal, Sylow
136C24×C11C2×D411yescharacteristic
137C24×C11C2×D411yescharacteristic
138C2×D4×C11—41no—
139C2×D4×C11—41no—
140C2×D4×C11C4⋊C414yes—
141C22×C4×C11—21no—
142C22×C4×C11—21no—
143C22×C4×C11—21no—
144C22×C4×C11—21no—
145C22×C4×C11—21no—
146C22×C4×C11—21no—
147C22×C4×C11—21no—
148C22×C4×C11—21no—
149C22×C4×C11—21no—
150C22×C4×C11—21no—
151C22×C4×C11—21no—
152C22×C4×C11—21no—
153C22×C4×C11—42no—
154C22×C4×C11—42no—
155C22×C4×C11—81no—
156C22×C4×C11C22×C412yes—
157C22×C4×C11C22×C412yes—
158C22×C4×C11C2×D411yescharacteristic
159C22×C4×C11C2×D411yescharacteristic
160C22×C4×C11C2×D411yescharacteristic
161C22×C4×C11C2×D411yescharacteristic
162C22×C4×C11C2×Q812yes—
163C22×C4×C11C2×Q812yes—
164C22×C4×C11C2411yescharacteristic
165C22×Dic11—21no—
166C22×Dic11—21no—
167C22×Dic11—21no—
168C22×Dic11—21no—
169C22×Dic11—42no—
170C22×Dic11—42no—
171C22×Dic11—81no—
172C11×C4⋊C4—21no—
173C11×C4⋊C4—21no—
174C11×C4⋊C4—21no—
175C11×C4⋊C4—21no—
176C11×C4⋊C4—21no—
177C11×C4⋊C4—21no—
178C11×C4⋊C4—21no—
179C11×C4⋊C4—42no—
180C11×C4⋊C4C4⋊C414yes—
181C11×C4⋊C4C2×D412yes—
182C11×C22⋊C4—42no—
183C11×C22⋊C4—42no—
184C11×C22⋊C4—81no—
185C11×C22⋊C4C4⋊C414yes—
186C11×C22⋊C4C4⋊C414yes—
187C42×C11—42no—
188C42×C11—81no—
189C42×C11C22×C412yes—
190C42×C11C2×Q812yes—
191C22⋊Dic11—42no—
192C22⋊Dic11—42no—
193C22⋊Dic11—81no—
194C4⋊Dic11—21no—
195C4⋊Dic11—21no—
196C4⋊Dic11—21no—
197C4⋊Dic11—21no—
198C4⋊Dic11—21no—
199C4⋊Dic11—21no—
200C4⋊Dic11—21no—
201C4⋊Dic11—42no—
202C4⋊Dic11C2×D412yes—
203C4×Dic11—42no—
204C4×Dic11—81no—
205#4318—28no—
206#4318—28no—
207C2×C11⋊C8—21no—
208C2×C11⋊C8—21no—
209C2×C11⋊C8—21no—
210C2×C11⋊C8—21no—
211C2×C11⋊C8—21no—
212C2×C11⋊C8—21no—
213C2×C11⋊C8C22×C412yes—
214C2×C11⋊C8C22×C412yes—
215C2×C11⋊C8C22×C412yes—
216C2×C11⋊C8C22×C412yes—
217C2×C11⋊C8C2×D412yes—
218C2×C11⋊C8#4112yes—
219C2×#436—111no—
220C2×#428—111no—
221C2×#428—111no—
222#2352—111no—
223#2352D1111yescharacteristic
224#1949—111no—
225#1949—111no—
226#1854—111no—
227#1854—111no—
228#1853—111no—
229#1853—111no—
230#1846—111no—
231#1809—111no—
232#1809—111no—
233C4×#106—111no—
234C23×C11—21no—
235C23×C11—21no—
236C23×C11—21no—
237C23×C11—21no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—21no—
243C23×C11—21no—
244C23×C11—21no—
245C23×C11—21no—
246C23×C11C2×C4⋊C412yes—
247C23×C11C2×C4⋊C412yes—
248C23×C11C22×D411yescharacteristic
249D4×C11—44no—
250C2×C4×C11—21no—
251C2×C4×C11—21no—
252C2×C4×C11—21no—
253C2×C4×C11—21no—
254C2×C4×C11—21no—
255C2×C4×C11—21no—
256C2×C4×C11—21no—
257C2×C4×C11—21no—
258C2×C4×C11—22no—
259C2×C4×C11—22no—
260C2×C4×C11—22no—
261C2×C4×C11—22no—
262C2×C4×C11—22no—
263C2×C4×C11—22no—
264C2×C4×C11—22no—
265C2×C4×C11—22no—
266C2×C4×C11—22no—
267C2×C4×C11—41no—
268C2×C4×C11—41no—
269C2×C4×C11—41no—
270C2×C4×C11—41no—
271C2×C4×C11—41no—
272C2×C4×C11—41no—
273C2×C4×C11—41no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—84no—
279C2×C4×C11C2×C4⋊C412yes—
280C2×C4×C11C2×C4⋊C412yes—
281C2×C4×C11C2×C4⋊C412yes—
282C2×C4×C11C2×C4⋊C412yes—
283C2×C4×C11C23×C411yescharacteristic
284C2×C4×C11C22×D411yescharacteristic
285C2×C4×C11C22×Q811yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11H(5,𝔽2)11yescharacteristic
288C2×C4×C112−1+411yescharacteristic
289C2×Dic11—22no—
290C2×Dic11—41no—
291C2×Dic11—41no—
292C2×Dic11—41no—
293C2×Dic11—41no—
294C2×Dic11—41no—
295C2×Dic11—41no—
296C2×Dic11—41no—
297C2×Dic11—41no—
298C2×Dic11—41no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—84no—
302C11⋊C8—22no—
303C11⋊C8—22no—
304C11⋊C8—22no—
305C11⋊C8C4×D414yes—
306C22×M16—111no—
307C22×M16—111no—
308C2×C4×D4C2×D1111yescharacteristic
309C2×#117—111no—
310C2×#117C2×D1111yescharacteristic
311C22×C4⋊C4—111no—
312C22×C4⋊C4C2×D1111yescharacteristic
313#436—118no—
314#428—224no—
315#428—224no—
316C2×#107—111no—
317C2×#107—111no—
318C2×#107—111no—
319C2×#107—111no—
320C2×#106—111no—
321C2×#106—111no—
322C2×#106—111no—
323C2×#106—111no—
324C2×#106—111no—
325C2×#106—111no—
326C2×C4⋊C8—111no—
327C2×C22⋊C8—111no—
328C2×C22⋊C8—111no—
329C2×C4×C8—111no—
330#388—21no—
331#388—221no—
332#387—21no—
333#387—221no—
334#386—21no—
335#386—221no—
336#382—111no—
337#382C2×D1111yescharacteristic
338#380—111no—
339#380—111no—
340#380C2×D1111yescharacteristic
341#380C2×D1111yescharacteristic
342C4×C4⋊C4—111no—
343C4×C4⋊C4C2×D1111yescharacteristic
344C4×C22⋊C4—21no—
345C4×C22⋊C4—221no—
346#340—111no—
347#340—111no—
348#340—111no—
349#340—111no—
350#340—111no—
351#340—111no—
352C22×C11—22no—
353C22×C11—22no—
354C22×C11—22no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—41no—
359C22×C11—41no—
360C22×C11—41no—
361C22×C11—41no—
362C22×C11—41no—
363C22×C11—41no—
364C22×C11—41no—
365C22×C11—41no—
366C22×C11C22×C4⋊C411yescharacteristic
367C22×C11D4211yescharacteristic
368C22×C11#54711yescharacteristic
369C22×C11#57511yescharacteristic
370C22×C11#57511yescharacteristic
371C22×C11#57711yescharacteristic
372C22×C11#57711yescharacteristic
373C4×C11—22no—
374C4×C11—22no—
375C4×C11—22no—
376C4×C11—22no—
377C4×C11—42no—
378C4×C11—81no—
379C4×C11—81no—
380C4×C11—81no—
381C4×C11C2×C4×D411yescharacteristic
382C4×C11#52011yescharacteristic
383C4×C11D4×Q811yescharacteristic
384C4×C11#55411yescharacteristic
385Dic11—42no—
386Dic11—81no—
387Dic11—81no—
388Dic11—81no—
389C22×D4C22⋊D1111yescharacteristic
390C23×C4—21no—
391C23×C4—221no—
392C23×C4C22×D1111yescharacteristic
393C23×C4C22×D1111yescharacteristic
394C2×M16—114no—
395C2×M16—114no—
396C2×M16—222no—
397C2×M16—222no—
398C2×M16—222no—
399C2×M16—222no—
400C22×C8—111no—
401C22×C8—111no—
402C22×C8—111no—
403C22×C8—111no—
404C4×D4Dic2214yes—
405C4×D4C4×D1114yes—
406#117—22no—
407#117—41no—
408#117—222no—
409#117—441no—
410C2×C4⋊C4—22no—
411C2×C4⋊C4—21no—
412C2×C4⋊C4—41no—
413C2×C4⋊C4—111no—
414C2×C4⋊C4—111no—
415C2×C4⋊C4—111no—
416C2×C4⋊C4—111no—
417C2×C4⋊C4—222no—
418C2×C4⋊C4—221no—
419C2×C4⋊C4—441no—
420C2×C4⋊C4C22⋊D1111yescharacteristic
421C2×C4⋊C4C22×D1111yescharacteristic
422C2×C4⋊C4C22×D1111yescharacteristic
423C2×C4⋊C4C22×D1111yescharacteristic
424C2×C4⋊C4C22×D1111yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—221no—
429C2×C22⋊C4—221no—
430C2×C22⋊C4—221no—
431C2×C22⋊C4C22⋊D1111yescharacteristic
432C2×C22⋊C4C22⋊D1111yescharacteristic
433C2×C42—21no—
434C2×C42—21no—
435C2×C42—221no—
436C2×C42—221no—
437C2×C42C22×D1111yescharacteristic
438#107—222no—
439#107—222no—
440#107—222no—
441#107—222no—
442#106—114no—
443#106—222no—
444#106—222no—
445#106—222no—
446#106—441no—
447#106—441no—
448C4⋊C8—114no—
449C22⋊C8—114no—
450C22⋊C8—114no—
451C4×C8—114no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—221no—
458#95—221no—
459#95—221no—
460#95—221no—
461#95—221no—
462C2×C11—42no—
463C2×C11—42no—
464C2×C11D4×C4⋊C411yescharacteristic
465C2×C11#291111yescharacteristic
466C2×C11#291211yescharacteristic
467C2×C11#327511yescharacteristic
468C2×C11#327511yescharacteristic
469C2×C11#335111yescharacteristic
470C2×C11#335111yescharacteristic
471C24C2×C22⋊D1111yescharacteristic
472C24C2×C22⋊D1111yescharacteristic
473C2×D4—41no—
474C2×D4—41no—
475C2×D4Dic11⋊C414yes—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—81no—
491C22×C4—221no—
492C22×C4—221no—
493C22×C4—221no—
494C22×C4—221no—
495C22×C4—442no—
496C22×C4—442no—
497C22×C4—881no—
498C22×C4C2×Dic2212yes—
499C22×C4C2×Dic2212yes—
500C22×C4C2×C4×D1112yes—
501C22×C4C2×C4×D1112yes—
502C22×C4C2×C22⋊D1111yescharacteristic
503C22×C4C2×C22⋊D1111yescharacteristic
504C22×C4C2×C22⋊D1111yescharacteristic
505C22×C4C2×C22⋊D1111yescharacteristic
506C22×C4C23×D1111yescharacteristic
507M16—228no—
508M16—228no—
509C2×C8—112no—
510C2×C8—112no—
511C2×C8—112no—
512C2×C8—112no—
513C2×C8—112no—
514C2×C8—112no—
515C2×C8—221no—
516C2×C8—221no—
517C2×C8—221no—
518C2×C8—221no—
519C2×C8—221no—
520C2×C8—221no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—42no—
529C4⋊C4—112no—
530C4⋊C4—221no—
531C4⋊C4—221no—
532C4⋊C4—221no—
533C4⋊C4—221no—
534C4⋊C4—221no—
535C4⋊C4—221no—
536C4⋊C4—221no—
537C4⋊C4—442no—
538C4⋊C4Dic11⋊C414yes—
539C4⋊C4D4×D1112yes—
540C22⋊C4—42no—
541C22⋊C4—42no—
542C22⋊C4—81no—
543C22⋊C4—442no—
544C22⋊C4—442no—
545C22⋊C4—881no—
546C22⋊C4Dic11⋊C414yes—
547C22⋊C4Dic11⋊C414yes—
548C42—42no—
549C42—81no—
550C42—442no—
551C42—881no—
552C42C2×Dic2212yes—
553C42C2×C4×D1112yes—
554C11#2266611yescharacteristic, complemented, Sylow
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—21no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—21no—
564C23—21no—
565C23—21no—
566C23—21no—
567C23C2×Dic11⋊C412yes—
568C23C2×Dic11⋊C412yes—
569C23C22×C22⋊D1111yescharacteristic
570D4—44no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—84no—
600C2×C4—222no—
601C2×C4—441no—
602C2×C4—441no—
603C2×C4—441no—
604C2×C4—441no—
605C2×C4—441no—
606C2×C4—441no—
607C2×C4—441no—
608C2×C4—441no—
609C2×C4—441no—
610C2×C4—441no—
611C2×C4—441no—
612C2×C4—884no—
613C2×C4C2×Dic11⋊C412yes—
614C2×C4C2×Dic11⋊C412yes—
615C2×C4C2×Dic11⋊C412yes—
616C2×C4C2×Dic11⋊C412yes—
617C2×C4C22×Dic2211yescharacteristic
618C2×C4C22×C4×D1111yescharacteristic
619C2×C4C2×D4×D1111yescharacteristic
620C2×C4#6703711yescharacteristic
621C2×C4#41×D1111yescharacteristic
622C2×C4#6704311yescharacteristic
623C8—114no—
624C8—222no—
625C8—222no—
626C8—222no—
627C22—22no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—41no—
634C22—41no—
635C22—41no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22C22×Dic11⋊C411yescharacteristic
642C22D4×C22⋊D1111yescharacteristic
643C22#1062335311yescharacteristic
644C22#1062335311yescharacteristic
645C22#1062335511yescharacteristic
646C22#1062336711yescharacteristic
647C22#1062336811yescharacteristic
648C4—22no—
649C4—22no—
650C4—22no—
651C4—22no—
652C4—42no—
653C4—81no—
654C4—81no—
655C4—81no—
656C4—442no—
657C4—881no—
658C4—881no—
659C4—881no—
660C4D4×Dic2211yescharacteristic
661C4#1062307011yescharacteristic
662C4C4×D4×D1111yescharacteristic
663C4#1062307711yescharacteristic
664C2—42no—
665C2—42no—
666C2D4×Dic11⋊C411yescharacteristic
667C2#1307720511yescharacteristic
668C2#1307720911yescharacteristic
669C2#1308024311yescharacteristic
670C2#1308024811yescharacteristic
671C2#1308117011yescharacteristic
672C2#1308117611yescharacteristic
subgroupG/H
centerC23C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#2352C2
socleC23×C11C22×D4
prime radicalC22×D4×C11D4
cosocleC22×C4×C11C24
hypercenter#2352D11
hypocenterC11#22666
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ #2352

Complements

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

NH ≅ G/Ntype
2. C2×#10622608C2semidirect
3. C2×#10622577C2semidirect
5. #13069384C2semidirect
6. #13069382C2semidirect
7. #13068815C2semidirect
8. #13068813C2semidirect
9. #13068809C2semidirect
10. #13068808C2semidirect
11. #13068778C2semidirect
12. #13068647C2semidirect
13. #13068647C2semidirect
14. C4×#66872C2semidirect
36. #10622625C4semidirect
105. C2×#4318C2×C4semidirect
106. C2×#4318C2×C4semidirect
121. C22⋊(C11⋊C8)C2×C4semidirect
122. C22⋊(C11⋊C8)C2×C4semidirect
128. #66872D4semidirect
133. C4⋊(C11⋊C8)C2×C4semidirect
134. C4×C11⋊C8C2×C4semidirect
554. C11#22666semidirect

Maximal subgroups

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

subgroupindex
C2×#106226252
C2×#106226082
C2×#106225772
#130715452
#130693842
#130693822
#130688152
#130688132
#130688092
#130688082
#130687782
#130686472
C4×#668722
C11×#23522
#2266611