Finite Group Databasebeta

← #14720744

Subgroups — #14720744

Order 2816.

1096 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13077741C211yesmaximal, characteristic, complemented
2C4×#67001C211yesmaximal, characteristic, complemented
3#13067076C212yesmaximal, complemented
4#13067067C211yesmaximal, characteristic, complemented
5#13067059C212yesmaximal, complemented
6#13067055C211yesmaximal, characteristic, complemented
7#13067033C211yesmaximal, characteristic, complemented
8#13067029C212yesmaximal, complemented
9#13066998C211yesmaximal, characteristic, complemented
10C2×D4⋊(C11⋊C8)C212yesmaximal, complemented
11C11×#3481C211yesmaximal, characteristic
12C11×#559C411yescharacteristic
13C11×#554C411yescharacteristic
14C11×#554C411yescharacteristic
15C11×#553—21no—
16C11×#553C412yes—
17C11×#551—22no—
18C11×#546—21no—
19C11×#546C412yes—
20D42×C11C411yescharacteristic
21C11×#532C2211yescharacteristic
22C11×#529—21no—
23C11×#529C2212yes—
24C11×#525—22no—
25C4×C11×#41C2211yescharacteristic
26C4×C11×#41C2211yescharacteristic
27C2×C4×D4×C11—21no—
28C2×C4×D4×C11C2212yes—
29C2×#67001—21no—
30#10622637—21no—
31#10622624—22no—
32D4×C11⋊C8—21no—
33#10622610—22no—
34#10622610—21no—
35#10622539C2212yescomplemented
36#10622538C2211yescharacteristic, complemented
37#10622537C2211yescharacteristic, complemented
38C2×C4⋊(C11⋊C8)C2212yescomplemented
39C4×#4318C2212yescomplemented
40C4×#4318C2211yescharacteristic, complemented
41C2×C4×C11⋊C8C2211yescharacteristic, complemented
42C2×C4×C11⋊C8C2212yescomplemented
43Q8⋊(C11⋊C8)C2211yescharacteristic, complemented
44Q8⋊(C11⋊C8)C2212yescomplemented
45Q8⋊(C11⋊C8)C2211yescharacteristic, complemented
46D4⋊(C11⋊C8)C2212yes—
47D4⋊(C11⋊C8)C2211yescharacteristic
48D4⋊(C11⋊C8)C2211yescharacteristic
49D4⋊(C11⋊C8)C2212yescomplemented
50D4⋊(C11⋊C8)C2212yescomplemented
51D4⋊(C11⋊C8)C2212yescomplemented
52D4⋊(C11⋊C8)C2212yescomplemented
53C2×C11×#41—21no—
54C2×C11×#41C2×C411yescharacteristic
55C2×C11×#41D411yescharacteristic
56C22×D4×C11—21no—
57C22×D4×C11C2×C412yes—
58C23×C4×C11—22no—
59C11×C4⋊Q8C2×C411yescharacteristic
60C11×#127C2×C411yescharacteristic
61C11×#126—22no—
62C11×#126—22no—
63C11×#125—21no—
64C11×#125C2×C412yes—
65C11×#124—21no—
66C11×#124—21no—
67C11×#124C2×C412yes—
68C11×#123—22no—
69C11×#123—22no—
70C11×#123—22no—
71C11×#123—22no—
72C11×C22⋊Q8—21no—
73C11×C22⋊Q8—22no—
74C11×C22⋊Q8—22no—
75C11×C22⋊Q8C2×C412yes—
76C11×#121—22no—
77C11×#121—21no—
78C11×#121—21no—
79C11×#121—22no—
80C11×#121C2×C412yes—
81C11×#121C2×C412yes—
82C11×#120—22no—
83C11×#120—22no—
84C4×Q8×C11C2×C411yescharacteristic
85C4×Q8×C11C2×C411yescharacteristic
86C4×Q8×C11D411yescharacteristic
87C4×Q8×C11C2311yescharacteristic
88C4×D4×C11—21no—
89C4×D4×C11—22no—
90C4×D4×C11—21no—
91C4×D4×C11—21no—
92C4×D4×C11—21no—
93C4×D4×C11—22no—
94C4×D4×C11—21no—
95C4×D4×C11—22no—
96C4×D4×C11—22no—
97C4×D4×C11C2×C412yes—
98C4×D4×C11C2×C412yes—
99C4×D4×C11C2×C411yescharacteristic
100C4×D4×C11C2×C411yescharacteristic
101C4×D4×C11C2×C412yes—
102C4×D4×C11D411yescharacteristic
103C4×D4×C11D412yes—
104C4×D4×C11C2311yescharacteristic
105C4×D4×C11C2312yes—
106C11×#117—21no—
107C11×#117—22no—
108C11×#117C2×C411yescharacteristic
109C11×#117D412yes—
110C11×#117D411yescharacteristic
111C2×C11×C4⋊C4—21no—
112C2×C11×C4⋊C4C2×C412yes—
113C2×C11×C22⋊C4—22no—
114C2×C11×C22⋊C4—22no—
115C2×C42×C11—21no—
116C2×C42×C11C2312yes—
117C2×C42×C11C2311yescharacteristic
118#67001—28no—
119C2×#4318—22no—
120C2×#4318—21no—
121C2×#4318—21no—
122C22×C11⋊C8—22no—
123C22×C11⋊C8—21no—
124C22×C11⋊C8—22no—
125C22⋊(C11⋊C8)—21no—
126C22⋊(C11⋊C8)—22no—
127C4⋊(C11⋊C8)—22no—
128C4⋊(C11⋊C8)—21no—
129C4⋊(C11⋊C8)C2311yescharacteristic
130C4⋊(C11⋊C8)C2312yes—
131C4⋊(C11⋊C8)C2311yescharacteristic
132#66867—21no—
133#66867—22no—
134#66867—22no—
135C4×C11⋊C8—21no—
136C4×C11⋊C8—22no—
137C4×C11⋊C8—21no—
138C4×C11⋊C8C2311yescharacteristic
139C4×C11⋊C8C2311yescharacteristic
140C4×C11⋊C8C2312yes—
141#17517—111nomaximal, Sylow
142C24×C11—22no—
143C11×#41—24no—
144C11×#41—22no—
145C11×#41—41no—
146C11×#41—81no—
147C11×#41—81no—
148C2×Q8×C11—21no—
149C2×Q8×C11C22⋊C411yescharacteristic
150C2×Q8×C11C22×C411yescharacteristic
151C2×D4×C11—24no—
152C2×D4×C11—21no—
153C2×D4×C11—22no—
154C2×D4×C11—22no—
155C2×D4×C11—22no—
156C2×D4×C11—21no—
157C2×D4×C11—21no—
158C2×D4×C11—42no—
159C2×D4×C11—44no—
160C2×D4×C11C22⋊C412yes—
161C2×D4×C11C22⋊C411yescharacteristic
162C2×D4×C11C22×C412yes—
163C2×D4×C11C22×C411yescharacteristic
164C22×C4×C11—22no—
165C22×C4×C11—21no—
166C22×C4×C11—21no—
167C22×C4×C11—21no—
168C22×C4×C11—22no—
169C22×C4×C11—22no—
170C22×C4×C11—22no—
171C22×C4×C11—82no—
172C22×C4×C11—82no—
173C22×C4×C11C22×C412yes—
174C22×C4×C11C22×C411yescharacteristic
175C22×C4×C11C2×D412yes—
176C22×C4×C11C2×D411yescharacteristic
177C22×C4×C11C2×D412yes—
178C22×C4×C11C2×D411yescharacteristic
179C11×C4⋊C4—21no—
180C11×C4⋊C4—22no—
181C11×C4⋊C4—22no—
182C11×C4⋊C4—21no—
183C11×C4⋊C4—22no—
184C11×C4⋊C4—22no—
185C11×C4⋊C4—21no—
186C11×C4⋊C4C22⋊C411yescharacteristic
187C11×C4⋊C4C22⋊C411yescharacteristic
188C11×C4⋊C4C22⋊C412yes—
189C11×C4⋊C4C22⋊C412yes—
190C11×C4⋊C4C22×C411yescharacteristic
191C11×C4⋊C4C22×C412yes—
192C11×C4⋊C4C22×C411yescharacteristic
193C11×C22⋊C4—22no—
194C11×C22⋊C4—21no—
195C11×C22⋊C4—22no—
196C11×C22⋊C4—22no—
197C11×C22⋊C4—22no—
198C11×C22⋊C4—22no—
199C11×C22⋊C4—21no—
200C11×C22⋊C4—22no—
201C11×C22⋊C4—22no—
202C11×C22⋊C4—21no—
203C11×C22⋊C4—22no—
204C11×C22⋊C4C22⋊C412yes—
205C11×C22⋊C4C22⋊C412yes—
206C11×C22⋊C4C22⋊C412yes—
207C42×C11—21no—
208C42×C11—21no—
209C42×C11—21no—
210C42×C11C22×C412yes—
211C42×C11C22×C411yescharacteristic
212C42×C11C2×D411yescharacteristic
213C42×C11C2×D412yes—
214C42×C11C2×D411yescharacteristic
215C42×C11C2×D412yes—
216C42×C11C2411yescharacteristic
217#4318—28no—
218#4318—24no—
219#4318—81no—
220C2×C11⋊C8—28no—
221C2×C11⋊C8—24no—
222C2×C11⋊C8—21no—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—22no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8—22no—
228C2×C11⋊C8—82no—
229#3481D1111yescharacteristic
230#2990—111no—
231C4×#131—111no—
232#1494—112no—
233#1492—111no—
234#1490—112no—
235#1489—111no—
236#1484—111no—
237#1483—112no—
238#1476—111no—
239C2×D4⋊C8—112no—
240C23×C11—21no—
241C23×C11—22no—
242C23×C11—44no—
243C23×C11—44no—
244C23×C11—82no—
245C23×C11C2×C22⋊C411yescharacteristic
246C23×C11C2×C22⋊C412yes—
247Q8×C11—22no—
248Q8×C11—21no—
249Q8×C11—21no—
250Q8×C11—81no—
251D4×C11—24no—
252D4×C11—22no—
253D4×C11—21no—
254D4×C11—22no—
255D4×C11—44no—
256D4×C11—42no—
257D4×C11—44no—
258D4×C11—42no—
259D4×C11—81no—
260D4×C11—82no—
261D4×C11#10414yes—
262D4×C11#13112yescomplemented
263C2×C4×C11—24no—
264C2×C4×C11—22no—
265C2×C4×C11—21no—
266C2×C4×C11—22no—
267C2×C4×C11—21no—
268C2×C4×C11—22no—
269C2×C4×C11—21no—
270C2×C4×C11—22no—
271C2×C4×C11—21no—
272C2×C4×C11—22no—
273C2×C4×C11—21no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—42no—
278C2×C4×C11—41no—
279C2×C4×C11—42no—
280C2×C4×C11—41no—
281C2×C4×C11—42no—
282C2×C4×C11—42no—
283C2×C4×C11—82no—
284C2×C4×C11—82no—
285C2×C4×C11—82no—
286C2×C4×C11C2×C22⋊C411yescharacteristic
287C2×C4×C11C2×C22⋊C412yes—
288C2×C4×C11C2×C22⋊C412yes—
289C2×C4×C11C2×C22⋊C411yescharacteristic
290C2×C4×C11C2×C22⋊C412yes—
291C2×C4×C11C2×C22⋊C411yescharacteristic
292C2×C4×C11C23×C411yescharacteristic
293C2×C4×C11C22×D411yescharacteristic
294C2×C4×C11C22×D411yescharacteristic
295C11⋊C8—22no—
296C11⋊C8—24no—
297C11⋊C8—22no—
298C11⋊C8—41no—
299C11⋊C8—42no—
300C11⋊C8—41no—
301C2×#131—221no—
302#559Dic1111yescharacteristic
303#554Dic1111yescharacteristic
304#554Dic1111yescharacteristic
305#553—21no—
306#553Dic1112yes—
307#551—22no—
308#546—21no—
309#546Dic1112yes—
310D42Dic1111yescharacteristic
311#532C2×D1111yescharacteristic
312#529—21no—
313#529C2×D1112yes—
314#525—22no—
315C4×#41C2×D1111yescharacteristic
316C4×#41C2×D1111yescharacteristic
317C2×C4×D4—21no—
318C2×C4×D4C2×D1112yes—
319#446—221no—
320#435—222no—
321C8×D4—221no—
322#432—112no—
323#431—111no—
324#423—111no—
325C2×C4⋊C8—112no—
326#405—222no—
327#405—221no—
328C4×M16—112no—
329C4×M16—111no—
330C2×C4×C8—112no—
331C2×C4×C8—111no—
332Q8⋊C8—111no—
333Q8⋊C8—111no—
334Q8⋊C8—112no—
335D4⋊C8—111no—
336D4⋊C8—112no—
337D4⋊C8—112no—
338D4⋊C8—112no—
339D4⋊C8—111no—
340D4⋊C8—112no—
341D4⋊C8—112no—
342C22×C11—22no—
343C22×C11—22no—
344C22×C11—21no—
345C22×C11—22no—
346C22×C11—21no—
347C22×C11—21no—
348C22×C11—41no—
349C22×C11—41no—
350C22×C11—42no—
351C22×C11—42no—
352C22×C11—42no—
353C22×C11—88no—
354C22×C11C2×#10414yes—
355C22×C11C22×C22⋊C411yescharacteristic
356C4×C11—21no—
357C4×C11—22no—
358C4×C11—22no—
359C4×C11—21no—
360C4×C11—21no—
361C4×C11—22no—
362C4×C11—41no—
363C4×C11—41no—
364C4×C11—42no—
365C4×C11—41no—
366C4×C11C2×#10412yes—
367C4×C11C2×#13111yescharacteristic
368C4×C11#56811yescharacteristic
369C4×C11#57611yescharacteristic
370C4×C11#57711yescharacteristic
371C2×#41—21no—
372C2×#41C2×Dic1111yescharacteristic
373C2×#41C22⋊D1111yescharacteristic
374C22×D4—21no—
375C22×D4C2×Dic1112yes—
376C23×C4—22no—
377#131—228no—
378C2×M16—222no—
379C2×M16—221no—
380C2×M16—221no—
381C22×C8—222no—
382C22×C8—221no—
383C22×C8—222no—
384C4⋊Q8C2×Dic1111yescharacteristic
385#127C2×Dic1111yescharacteristic
386#126—22no—
387#126—22no—
388#125—21no—
389#125C2×Dic1112yes—
390#124—21no—
391#124—21no—
392#124C2×Dic1112yes—
393#123—22no—
394#123—22no—
395#123—22no—
396#123—22no—
397C22⋊Q8—21no—
398C22⋊Q8—22no—
399C22⋊Q8—22no—
400C22⋊Q8C2×Dic1112yes—
401#121—22no—
402#121—21no—
403#121—21no—
404#121—22no—
405#121C2×Dic1112yes—
406#121C2×Dic1112yes—
407#120—22no—
408#120—22no—
409C4×Q8C2×Dic1111yescharacteristic
410C4×Q8C2×Dic1111yescharacteristic
411C4×Q8C22⋊D1111yescharacteristic
412C4×Q8C22×D1111yescharacteristic
413C4×D4—21no—
414C4×D4—22no—
415C4×D4—21no—
416C4×D4—21no—
417C4×D4—21no—
418C4×D4—22no—
419C4×D4—21no—
420C4×D4—22no—
421C4×D4—22no—
422C4×D4C2×Dic1112yes—
423C4×D4C2×Dic1112yes—
424C4×D4C2×Dic1111yescharacteristic
425C4×D4C2×Dic1111yescharacteristic
426C4×D4C2×Dic1112yes—
427C4×D4C22⋊D1111yescharacteristic
428C4×D4C22⋊D1112yes—
429C4×D4C22×D1111yescharacteristic
430C4×D4C22×D1112yes—
431#117—21no—
432#117—22no—
433#117C2×Dic1111yescharacteristic
434#117C22⋊D1112yes—
435#117C22⋊D1111yescharacteristic
436C2×C4⋊C4—21no—
437C2×C4⋊C4C2×Dic1112yes—
438C2×C22⋊C4—22no—
439C2×C22⋊C4—22no—
440C2×C42—21no—
441C2×C42C22×D1112yes—
442C2×C42C22×D1111yescharacteristic
443C4⋊C8—111no—
444C4⋊C8—112no—
445C4⋊C8—111no—
446C4⋊C8—222no—
447C4⋊C8—221no—
448C22⋊C8—221no—
449C22⋊C8—222no—
450#97—221no—
451#97—222no—
452#97—222no—
453C4×C8—111no—
454C4×C8—112no—
455C4×C8—111no—
456C4×C8—221no—
457C4×C8—222no—
458C4×C8—221no—
459C2×C11—24no—
460C2×C11—41no—
461C2×C11—42no—
462C2×C11—82no—
463C2×C11#288011yescharacteristic
464C2×C11#289711yescharacteristic
465C2×C11C22×#10411yescharacteristic
466C24—22no—
467#41—24no—
468#41—22no—
469#41—41no—
470#41—81no—
471#41—81no—
472C2×Q8—21no—
473C2×Q8C22⋊Dic1111yescharacteristic
474C2×Q8C22×Dic1111yescharacteristic
475C2×D4—24no—
476C2×D4—21no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—22no—
480C2×D4—21no—
481C2×D4—21no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4C22⋊Dic1112yes—
485C2×D4C22⋊Dic1111yescharacteristic
486C2×D4C22×Dic1112yes—
487C2×D4C22×Dic1111yescharacteristic
488C22×C4—22no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—82no—
496C22×C4—82no—
497C22×C4C22×Dic1112yes—
498C22×C4C22×Dic1111yescharacteristic
499C22×C4C2×C22⋊D1112yes—
500C22×C4C2×C22⋊D1111yescharacteristic
501C22×C4C2×C22⋊D1112yes—
502C22×C4C2×C22⋊D1111yescharacteristic
503M16—228no—
504M16—224no—
505M16—881no—
506C2×C8—228no—
507C2×C8—224no—
508C2×C8—221no—
509C2×C8—222no—
510C2×C8—221no—
511C2×C8—221no—
512C2×C8—221no—
513C2×C8—222no—
514C2×C8—882no—
515C4⋊C4—21no—
516C4⋊C4—22no—
517C4⋊C4—22no—
518C4⋊C4—21no—
519C4⋊C4—22no—
520C4⋊C4—22no—
521C4⋊C4—21no—
522C4⋊C4C22⋊Dic1111yescharacteristic
523C4⋊C4C22⋊Dic1111yescharacteristic
524C4⋊C4C22⋊Dic1112yes—
525C4⋊C4C22⋊Dic1112yes—
526C4⋊C4C22×Dic1111yescharacteristic
527C4⋊C4C22×Dic1112yes—
528C4⋊C4C22×Dic1111yescharacteristic
529C22⋊C4—22no—
530C22⋊C4—21no—
531C22⋊C4—22no—
532C22⋊C4—22no—
533C22⋊C4—22no—
534C22⋊C4—22no—
535C22⋊C4—21no—
536C22⋊C4—22no—
537C22⋊C4—22no—
538C22⋊C4—21no—
539C22⋊C4—22no—
540C22⋊C4C22⋊Dic1112yes—
541C22⋊C4C22⋊Dic1112yes—
542C22⋊C4C22⋊Dic1112yes—
543C42—21no—
544C42—21no—
545C42—21no—
546C42C22×Dic1112yes—
547C42C22×Dic1111yescharacteristic
548C42C2×C22⋊D1111yescharacteristic
549C42C2×C22⋊D1112yes—
550C42C2×C22⋊D1111yescharacteristic
551C42C2×C22⋊D1112yes—
552C42C23×D1111yescharacteristic
553C11#1751711yescharacteristic, complemented, Sylow
554C23—21no—
555C23—22no—
556C23—44no—
557C23—44no—
558C23—82no—
559C23C2×C22⋊Dic1111yescharacteristic
560C23C2×C22⋊Dic1112yes—
561Q8—22no—
562Q8—21no—
563Q8—21no—
564Q8—81no—
565D4—24no—
566D4—22no—
567D4—21no—
568D4—22no—
569D4—44no—
570D4—42no—
571D4—44no—
572D4—42no—
573D4—81no—
574D4—82no—
575D4#6690114yes—
576D4#6700112yescomplemented
577C2×C4—24no—
578C2×C4—22no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—22no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—41no—
594C2×C4—42no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—82no—
598C2×C4—82no—
599C2×C4—82no—
600C2×C4C2×C22⋊Dic1111yescharacteristic
601C2×C4C2×C22⋊Dic1112yes—
602C2×C4C2×C22⋊Dic1112yes—
603C2×C4C2×C22⋊Dic1111yescharacteristic
604C2×C4C2×C22⋊Dic1112yes—
605C2×C4C2×C22⋊Dic1111yescharacteristic
606C2×C4C23×Dic1111yescharacteristic
607C2×C4C22×C22⋊D1111yescharacteristic
608C2×C4C22×C22⋊D1111yescharacteristic
609C8—222no—
610C8—224no—
611C8—222no—
612C8—441no—
613C8—442no—
614C8—441no—
615C22—22no—
616C22—22no—
617C22—21no—
618C22—22no—
619C22—21no—
620C22—21no—
621C22—41no—
622C22—41no—
623C22—42no—
624C22—42no—
625C22—42no—
626C22—88no—
627C22C2×#6690114yes—
628C22C22×C22⋊Dic1111yescharacteristic
629C4—21no—
630C4—22no—
631C4—22no—
632C4—21no—
633C4—21no—
634C4—22no—
635C4—41no—
636C4—41no—
637C4—42no—
638C4—41no—
639C4C2×#6690112yes—
640C4C2×#6700111yescharacteristic
641C4#1062335011yescharacteristic
642C4#1062336611yescharacteristic
643C4#1062336711yescharacteristic
644C2—24no—
645C2—41no—
646C2—42no—
647C2—82no—
648C2#1307706511yescharacteristic
649C2#1307714211yescharacteristic
650C2C22×#6690111yescharacteristic
subgroupG/H
centerC2×C4C22×C22⋊D11
commutatorC2×C4×C11C23×C4
FrattiniC42C23×D11
Fitting, prime radicalC11×#3481C2
socleC22×C11C22×C22⋊C4
cosocleC42×C11C24
hypercenter#3481D11
hypocenterC11#17517
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C4×#41 ◁ #3481

Complements

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

NH ≅ G/Ntype
1. #13077741C2semidirect
2. C4×#67001C2semidirect
3. #13067076C2semidirect
4. #13067067C2semidirect
5. #13067059C2semidirect
6. #13067055C2semidirect
7. #13067033C2semidirect
8. #13067029C2semidirect
9. #13066998C2semidirect
10. C2×D4⋊(C11⋊C8)C2semidirect
35. #10622539C22semidirect
36. #10622538C22semidirect
37. #10622537C22semidirect
38. C2×C4⋊(C11⋊C8)C22semidirect
39. C4×#4318C22semidirect
40. C4×#4318C22semidirect
41. C2×C4×C11⋊C8C22semidirect
42. C2×C4×C11⋊C8C22semidirect
43. Q8⋊(C11⋊C8)C22semidirect
44. Q8⋊(C11⋊C8)C22semidirect
45. Q8⋊(C11⋊C8)C22semidirect
49. D4⋊(C11⋊C8)C22semidirect
50. D4⋊(C11⋊C8)C22semidirect
51. D4⋊(C11⋊C8)C22semidirect
52. D4⋊(C11⋊C8)C22semidirect
262. D4×C11#131semidirect
553. C11#17517semidirect
576. D4#67001semidirect

Maximal subgroups

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

subgroupindex
#130777412
C4×#670012
#130670762
#130670672
#130670592
#130670552
#130670332
#130670292
#130669982
C2×D4⋊(C11⋊C8)2
C11×#34812
#1751711