Finite Group Databasebeta

← #14917261

Subgroups — #14917261

Order 2816.

2286 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13071797C212yesmaximal, complemented
2#13071764C212yesmaximal, complemented
3#13071752C212yesmaximal, complemented
4#13071706C212yesmaximal, complemented
5#13071647C212yesmaximal, complemented
6#13071625C212yesmaximal, complemented
7#13071509C212yesmaximal, complemented
8Q8×C22⋊Dic11C212yesmaximal, complemented
9#13071431C214yesmaximal, complemented
10#13071410C214yesmaximal, complemented
11#13071300C212yesmaximal, complemented
12#13071208C211yesmaximal, characteristic
13C22⋊Q8×Dic11C212yesmaximal, complemented
14#13071107C211yesmaximal, characteristic
15C2×C11×#536C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C23×Q8×C11C2211yescharacteristic
18C11×#536C4116yescomplemented
19C2×C11×C4⋊Q8C2212yes—
20C2×C11×#124C2212yes—
21C2×C11×#123C2212yes—
22C2×C11×#123C2212yes—
23C2×C11×C22⋊Q8C2212yes—
24C2×C11×C22⋊Q8C2212yes—
25C2×C11×#117C2211yescharacteristic
26C2×Q8×Dic11C2212yes—
27C2×Q8×Dic11C2212yes—
28C2×#66979C2211yescharacteristic
29C2×#66979C2211yescharacteristic
30C22×C4⋊Dic11C2211yescharacteristic
31C22×C4×Dic11C2211yescharacteristic
32#10622843C2211yescharacteristic
33#10622843C2211yescharacteristic
34#10622843C2212yes—
35#10622843C2212yes—
36#10622843C2214yes—
37#10622843C2214yes—
38#10622843C2212yes—
39#10622834C2211yescharacteristic
40#10622834C2211yescharacteristic
41#10622834C2212yes—
42#10622833C2212yes—
43#10622833C2212yes—
44#10622833C2212yes—
45#10622833C2212yes—
46#10622825C2212yes—
47#10622825C2214yes—
48#10622825C2212yes—
49C4×C22⋊Dic11C2212yes—
50C4×C22⋊Dic11C2212yes—
51C4×C22⋊Dic11C2214yes—
52#10622598C2214yes—
53#10622598C2212yes—
54#10622598C2212yes—
55#10622598C2214yes—
56#10622594C2214yes—
57#10622594C2214yes—
58#10622594C2214yes—
59#10622594C2214yes—
60C4⋊C4×Dic11C2212yes—
61C4⋊C4×Dic11C2214yes—
62C4⋊C4×Dic11C2212yes—
63C4⋊C4×Dic11C2214yes—
64#10622564C2214yes—
65#10622564C2214yes—
66#10622564C2214yes—
67#10622564C2214yes—
68#10622564C2214yes—
69#10622564C2214yes—
70#10622563C2214yes—
71#10622563C2214yes—
72C22⋊C4×Dic11C2214yes—
73C22⋊C4×Dic11C2214yes—
74#10622550C2214yes—
75C4×C4⋊Dic11C2214yes—
76C2×C11×#41—42no—
77C2×C11×#41—42no—
78C2×C11×#41C2×C418yes—
79C22×Q8×C11—42no—
80C22×Q8×C11—42no—
81C22×Q8×C11C2×C418yescomplemented
82C22×Q8×C11C2312yes—
83C22×Q8×C11C2312yes—
84C22×Q8×C11C2311yescharacteristic
85C22×D4×C11C2311yescharacteristic
86C22×D4×C11C2311yescharacteristic
87C22×D4×C11C2311yescharacteristic
88C23×C4×C11C2311yescharacteristic
89C23×C4×C11C2311yescharacteristic
90C23×C4×C11C2311yescharacteristic
91C23×C4×C11C2312yes—
92C23×Dic11C2312yes—
93C23×Dic11C2312yes—
94C11×C4⋊Q8C2×C4116yescomplemented
95C11×#124C2×C4116yes—
96C11×#123C2×C4116yescomplemented
97C11×#123C2×C4116yescomplemented
98C11×C22⋊Q8C2×C4116yescomplemented
99C11×C22⋊Q8C2×C4116yescomplemented
100C11×#117C2×C418yescomplemented
101C2×C11×C4⋊C4C2312yes—
102C2×C11×C4⋊C4C2314yes—
103C2×C11×C4⋊C4C2314yes—
104C2×C11×C22⋊C4C2314yes—
105C2×C11×C22⋊C4C2314yes—
106C2×C11×C22⋊C4C2312yes—
107C2×C42×C11C2312yes—
108C2×C22⋊Dic11C2312yes—
109C2×C22⋊Dic11C2312yes—
110C2×C22⋊Dic11C2312yes—
111C2×C22⋊Dic11C2312yes—
112C2×C22⋊Dic11C2314yes—
113C2×C22⋊Dic11C2312yes—
114C2×C22⋊Dic11C2312yes—
115C2×C22⋊Dic11C2314yes—
116Q8×Dic11—44no—
117Q8×Dic11—44no—
118#66979—42no—
119#66979—42no—
120C2×C4⋊Dic11—42no—
121C2×C4⋊Dic11C2314yes—
122C2×C4⋊Dic11C2312yes—
123C2×C4⋊Dic11C2312yes—
124C2×C4⋊Dic11C2314yes—
125C2×C4⋊Dic11C2312yes—
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128C2×C4⋊Dic11C2314yes—
129C2×C4⋊Dic11C2314yes—
130C2×C4×Dic11—42no—
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2311yescharacteristic
134C2×C4×Dic11C2311yescharacteristic
135C2×C4×Dic11C2314yes—
136C2×C4×Dic11C2314yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2314yes—
140C11⋊#95C2312yes—
141C11⋊#95C2314yes—
142C11⋊#95C2312yes—
143C11⋊#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2314yes—
146C11⋊#95C2314yes—
147C11⋊#95C2314yes—
148C11⋊#95C2314yes—
149C11⋊#95C2314yes—
150C11⋊#95C2314yes—
151C11⋊#95C2312yes—
152C11⋊#95C2312yes—
153C11⋊#95C2314yes—
154#34413—111nomaximal, Sylow
155C24×C11C2411yescharacteristic
156C24×C11C2411yescharacteristic
157C24×C11C2411yescharacteristic
158C11×#41—416no—
159C2×Q8×C11—24no—
160C2×Q8×C11—24no—
161C2×Q8×C11—42no—
162C2×Q8×C11—42no—
163C2×Q8×C11—41no—
164C2×Q8×C11—41no—
165C2×Q8×C11—416no—
166C2×Q8×C11C22×C418yes—
167C2×Q8×C11C22×C418yes—
168C2×Q8×C11C22×C414yes—
169C2×D4×C11—41no—
170C2×D4×C11—41no—
171C2×D4×C11—41no—
172C2×D4×C11—41no—
173C2×D4×C11—41no—
174C2×D4×C11—41no—
175C2×D4×C11C22×C414yes—
176C2×D4×C11C22×C414yes—
177C2×D4×C11C22×C414yes—
178C22×C4×C11—22no—
179C22×C4×C11—22no—
180C22×C4×C11—22no—
181C22×C4×C11—22no—
182C22×C4×C11—22no—
183C22×C4×C11—22no—
184C22×C4×C11—42no—
185C22×C4×C11—42no—
186C22×C4×C11C22×C414yes—
187C22×C4×C11C22×C414yes—
188C22×C4×C11C22×C414yes—
189C22×C4×C11C22×C418yes—
190C22×C4×C11C2411yescharacteristic
191C22×C4×C11C2414yes—
192C22×C4×C11C2414yes—
193C22×C4×C11C2411yescharacteristic
194C22×C4×C11C2411yescharacteristic
195C22×C4×C11C2411yescharacteristic
196C22×Dic11—24no—
197C22×Dic11—42no—
198C22×Dic11—42no—
199C22×Dic11—42no—
200C22×Dic11—44no—
201C22×Dic11C2412yes—
202C22×Dic11C2412yes—
203C22×Dic11C2414yes—
204C22×Dic11C2414yes—
205C22×Dic11C2412yes—
206C22×Dic11C2412yes—
207C11×C4⋊C4C22×C418yes—
208C11×C4⋊C4C22×C4116yes—
209C11×C4⋊C4C22×C4116yes—
210C11×C22⋊C4C22×C418yes—
211C11×C22⋊C4C22×C4116yes—
212C11×C22⋊C4C22×C4116yes—
213C42×C11C22×C418yes—
214C22⋊Dic11—24no—
215C22⋊Dic11—24no—
216C22⋊Dic11—42no—
217C22⋊Dic11—42no—
218C22⋊Dic11—44no—
219C22⋊Dic11—42no—
220C22⋊Dic11—44no—
221C22⋊Dic11—42no—
222C4⋊Dic11—28no—
223C4⋊Dic11—24no—
224C4⋊Dic11—24no—
225C4⋊Dic11—42no—
226C4⋊Dic11—44no—
227C4⋊Dic11—41no—
228C4⋊Dic11—41no—
229C4⋊Dic11—44no—
230C4⋊Dic11—44no—
231C4×Dic11—24no—
232C4×Dic11—24no—
233C4×Dic11—41no—
234C4×Dic11—41no—
235C4×Dic11—44no—
236C4×Dic11—44no—
237C4×Dic11—42no—
238C4×Dic11—44no—
239C4×Dic11—44no—
240C2×#536D1111yescharacteristic
241#2381—112no—
242#2376—112no—
243#2374—112no—
244#2369—112no—
245#2362—112no—
246#2360—112no—
247#2347—112no—
248Q8×C22⋊C4—112no—
249#2337—114no—
250#2335—114no—
251#2323—112no—
252#2311—111no—
253C4×C22⋊Q8—112no—
254#2297—111no—
255C23×C11—21no—
256C23×C11—21no—
257C23×C11—21no—
258C23×C11—21no—
259C23×C11—21no—
260C23×C11—21no—
261C23×C11—22no—
262C23×C11—22no—
263C23×C11—22no—
264C23×C11—22no—
265C23×C11—22no—
266C23×C11—22no—
267C23×C11C23×C412yes—
268C23×C11C23×C412yes—
269C23×C11C23×C412yes—
270C23×C11C2511yescharacteristic
271Q8×C11—216no—
272Q8×C11—48no—
273Q8×C11—44no—
274D4×C11—44no—
275D4×C11—44no—
276D4×C11—44no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—24no—
280C2×C4×C11—24no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—21no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—28no—
288C2×C4×C11—28no—
289C2×C4×C11—28no—
290C2×C4×C11—48no—
291C2×C4×C11C23×C412yes—
292C2×C4×C11C23×C418yes—
293C2×C4×C11C23×C418yes—
294C2×C4×C11C23×C412yes—
295C2×C4×C11C23×C412yes—
296C2×C4×C11C23×C412yes—
297C2×C4×C11H(5,𝔽2)12yes—
298C2×C4×C11H(5,𝔽2)12yes—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—22no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—24no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—24no—
315C2×Dic11—22no—
316C2×Dic11—48no—
317C2×Dic11—84no—
318C2×Dic112−1+414yes—
319C22×#41C2×D1111yescharacteristic
320C23×Q8C2×D1111yescharacteristic
321#536Dic11116yescomplemented
322C2×C4⋊Q8C2×D1112yes—
323C2×#124C2×D1112yes—
324C2×#123C2×D1112yes—
325C2×#123C2×D1112yes—
326C2×C22⋊Q8C2×D1112yes—
327C2×C22⋊Q8C2×D1112yes—
328C2×C4×Q8—112no—
329C2×C4×Q8—112no—
330C2×#117—111no—
331C2×#117—111no—
332C2×#117C2×D1111yescharacteristic
333C22×C4⋊C4—111no—
334C22×C42—111no—
335#391—112no—
336#391—112no—
337#391—114no—
338#391—114no—
339#391—112no—
340#391—111no—
341#391—111no—
342#390—112no—
343#390—111no—
344#390—111no—
345#389—112no—
346#389—114no—
347#389—114no—
348#389—112no—
349#388—114no—
350#388—114no—
351#388—114no—
352#388—114no—
353#388—114no—
354#388—114no—
355#387—114no—
356#387—114no—
357#387—114no—
358#387—114no—
359#386—112no—
360#386—112no—
361#386—112no—
362#386—112no—
363#385—114no—
364#385—114no—
365#383—114no—
366#380—112no—
367#380—112no—
368#380—114no—
369C4×C4⋊C4—112no—
370C4×C4⋊C4—114no—
371C4×C4⋊C4—112no—
372C4×C4⋊C4—114no—
373C4×C4⋊C4—114no—
374C4×C22⋊C4—114no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—112no—
377C4×C22⋊C4—114no—
378C4×C22⋊C4—114no—
379C22×C11—22no—
380C22×C11—22no—
381C22×C11—22no—
382C22×C11—24no—
383C22×C11—24no—
384C22×C11—24no—
385C22×C11—42no—
386C22×C11—42no—
387C22×C11—42no—
388C22×C11—41no—
389C22×C11—41no—
390C22×C11—41no—
391C22×C11—41no—
392C22×C11—41no—
393C22×C11—41no—
394C22×C11C24×C411yescharacteristic
395C22×C11C2×H(5,𝔽2)11yescharacteristic
396C22×C11C2×H(5,𝔽2)11yescharacteristic
397C22×C11C2×2−1+412yes—
398C22×C11#58512yes—
399C4×C11—22no—
400C4×C11—22no—
401C4×C11—22no—
402C4×C11—28no—
403C4×C11—28no—
404C4×C11#51814yes—
405Dic11—24no—
406Dic11—44no—
407Dic11—42no—
408Dic11—42no—
409Dic11—42no—
410Dic11—44no—
411C2×#41—42no—
412C2×#41—42no—
413C2×#41C2×Dic1118yes—
414C22×Q8—42no—
415C22×Q8—42no—
416C22×Q8C2×Dic1118yescomplemented
417C22×Q8C22×D1112yes—
418C22×Q8C22×D1112yes—
419C22×Q8C22×D1111yescharacteristic
420C22×D4C22×D1111yescharacteristic
421C22×D4C22×D1111yescharacteristic
422C22×D4C22×D1111yescharacteristic
423C23×C4—112no—
424C23×C4—112no—
425C23×C4C22×D1111yescharacteristic
426C23×C4C22×D1111yescharacteristic
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1112yes—
429C4⋊Q8C2×Dic11116yescomplemented
430#124C2×Dic11116yes—
431#123C2×Dic11116yescomplemented
432#123C2×Dic11116yescomplemented
433C22⋊Q8C2×Dic11116yescomplemented
434C22⋊Q8C2×Dic11116yescomplemented
435C4×Q8—444no—
436C4×Q8—444no—
437#117—442no—
438#117—442no—
439#117C2×Dic1118yescomplemented
440C2×C4⋊C4—112no—
441C2×C4⋊C4—112no—
442C2×C4⋊C4—114no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—111no—
445C2×C4⋊C4—111no—
446C2×C4⋊C4—114no—
447C2×C4⋊C4—114no—
448C2×C4⋊C4—114no—
449C2×C4⋊C4—442no—
450C2×C4⋊C4C22×D1112yes—
451C2×C4⋊C4C22×D1114yes—
452C2×C4⋊C4C22×D1114yes—
453C2×C22⋊C4—112no—
454C2×C22⋊C4—112no—
455C2×C22⋊C4—112no—
456C2×C22⋊C4—112no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—114no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—112no—
461C2×C22⋊C4C22×D1112yes—
462C2×C22⋊C4C22×D1114yes—
463C2×C22⋊C4C22×D1114yes—
464C2×C42—112no—
465C2×C42—112no—
466C2×C42—112no—
467C2×C42—114no—
468C2×C42—114no—
469C2×C42—114no—
470C2×C42—111no—
471C2×C42—114no—
472C2×C42—111no—
473C2×C42—442no—
474C2×C42C22×D1112yes—
475#95—114no—
476#95—112no—
477#95—112no—
478#95—114no—
479#95—112no—
480#95—114no—
481#95—114no—
482#95—112no—
483#95—114no—
484#95—114no—
485#95—114no—
486#95—114no—
487#95—114no—
488#95—114no—
489C2×C11—42no—
490C2×C11—42no—
491C2×C11—42no—
492C2×C11C2×#51811yescharacteristic
493C2×C11C4×2−1+412yes—
494C2×C11#354112yes—
495C2×C11#355011yescharacteristic
496C2×C11#355111yescharacteristic
497C24C23×D1111yescharacteristic
498C24C23×D1111yescharacteristic
499C24C23×D1111yescharacteristic
500#41—416no—
501C2×Q8—24no—
502C2×Q8—24no—
503C2×Q8—42no—
504C2×Q8—42no—
505C2×Q8—41no—
506C2×Q8—41no—
507C2×Q8—416no—
508C2×Q8C22×Dic1118yes—
509C2×Q8C22×Dic1118yes—
510C2×Q8C22×Dic1114yes—
511C2×D4—41no—
512C2×D4—41no—
513C2×D4—41no—
514C2×D4—41no—
515C2×D4—41no—
516C2×D4—41no—
517C2×D4C22×Dic1114yes—
518C2×D4C22×Dic1114yes—
519C2×D4C22×Dic1114yes—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—112no—
529C22×C4—112no—
530C22×C4—112no—
531C22×C4—114no—
532C22×C4—114no—
533C22×C4—112no—
534C22×C4—224no—
535C22×C4—442no—
536C22×C4—442no—
537C22×C4—442no—
538C22×C4—444no—
539C22×C4C22×Dic1114yes—
540C22×C4C22×Dic1114yes—
541C22×C4C22×Dic1114yes—
542C22×C4C22×Dic1118yes—
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1114yes—
545C22×C4C23×D1114yes—
546C22×C4C23×D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548C22×C4C23×D1111yescharacteristic
549C4⋊C4—228no—
550C4⋊C4—224no—
551C4⋊C4—224no—
552C4⋊C4—442no—
553C4⋊C4—441no—
554C4⋊C4—441no—
555C4⋊C4—444no—
556C4⋊C4—444no—
557C4⋊C4—444no—
558C4⋊C4C22×Dic1118yes—
559C4⋊C4C22×Dic11116yes—
560C4⋊C4C22×Dic11116yes—
561C22⋊C4—224no—
562C22⋊C4—224no—
563C22⋊C4—442no—
564C22⋊C4—442no—
565C22⋊C4—442no—
566C22⋊C4—444no—
567C22⋊C4—444no—
568C22⋊C4—442no—
569C22⋊C4C22×Dic1118yes—
570C22⋊C4C22×Dic11116yes—
571C22⋊C4C22×Dic11116yes—
572C42—224no—
573C42—224no—
574C42—441no—
575C42—441no—
576C42—442no—
577C42—444no—
578C42—444no—
579C42—444no—
580C42—444no—
581C42C22×Dic1118yes—
582C11#3441311yescharacteristic, complemented, Sylow
583C23—21no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23C23×Dic1112yes—
596C23C23×Dic1112yes—
597C23C23×Dic1112yes—
598C23C24×D1111yescharacteristic
599Q8—216no—
600Q8—48no—
601Q8—44no—
602D4—44no—
603D4—44no—
604D4—44no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—24no—
608C2×C4—24no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—28no—
616C2×C4—28no—
617C2×C4—28no—
618C2×C4—48no—
619C2×C4—114no—
620C2×C4—222no—
621C2×C4—222no—
622C2×C4—222no—
623C2×C4—222no—
624C2×C4—222no—
625C2×C4—224no—
626C2×C4—224no—
627C2×C4—222no—
628C2×C4—222no—
629C2×C4—224no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—224no—
633C2×C4—224no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—224no—
637C2×C4—448no—
638C2×C4—884no—
639C2×C4#6703712yes—
640C2×C4#6703712yes—
641C2×C4C23×Dic1112yes—
642C2×C4C23×Dic1118yes—
643C2×C4C23×Dic1118yes—
644C2×C4C23×Dic1112yes—
645C2×C4C23×Dic1112yes—
646C2×C4C23×Dic1112yes—
647C22—22no—
648C22—22no—
649C22—22no—
650C22—24no—
651C22—24no—
652C22—24no—
653C22—42no—
654C22—42no—
655C22—42no—
656C22—41no—
657C22—41no—
658C22—41no—
659C22—41no—
660C22—41no—
661C22—41no—
662C22C2×#6703711yescharacteristic
663C22C2×#6703711yescharacteristic
664C22D11×2−1+412yes—
665C22#1062345712yes—
666C22C24×Dic1111yescharacteristic
667C4—22no—
668C4—22no—
669C4—22no—
670C4—28no—
671C4—28no—
672C4—224no—
673C4—442no—
674C4—444no—
675C4—442no—
676C4—444no—
677C4—442no—
678C4#1062332914yes—
679C2—42no—
680C2—42no—
681C2—42no—
682C2C2×#1062332911yescharacteristic
683C22−1+4×Dic1112yes—
684C2#1308291112yes—
685C2#1308302511yescharacteristic
686C2#1308304511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC2×C11×#536C2
socle, cosocleC23×C11C25
prime radicalC22×C11×#41C22
hypercenterC2×#536D11
hypocenterC11#34413
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#536

Complements

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

NH ≅ G/Ntype
1. #13071797C2semidirect
2. #13071764C2semidirect
3. #13071752C2semidirect
4. #13071706C2semidirect
5. #13071647C2semidirect
6. #13071625C2semidirect
7. #13071509C2semidirect
8. Q8×C22⋊Dic11C2semidirect
9. #13071431C2semidirect
10. #13071410C2semidirect
11. #13071300C2semidirect
13. C22⋊Q8×Dic11C2semidirect
18. C11×#536C4semidirect
81. C22×Q8×C11C2×C4semidirect
94. C11×C4⋊Q8C2×C4semidirect
96. C11×#123C2×C4semidirect
97. C11×#123C2×C4semidirect
98. C11×C22⋊Q8C2×C4semidirect
99. C11×C22⋊Q8C2×C4semidirect
100. C11×#117C2×C4semidirect
321. #536Dic11semidirect
416. C22×Q8C2×Dic11semidirect
429. C4⋊Q8C2×Dic11semidirect
431. #123C2×Dic11semidirect
432. #123C2×Dic11semidirect
433. C22⋊Q8C2×Dic11semidirect
434. C22⋊Q8C2×Dic11semidirect
439. #117C2×Dic11semidirect
582. C11#34413semidirect

Maximal subgroups

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

subgroupindex
#130717972
#130717642
#130717522
#130717062
#130716472
#130716252
#130715092
Q8×C22⋊Dic112
#130714312
#130714102
#130713002
#130712082
C22⋊Q8×Dic112
#130711072
C2×C11×#5362
#3441311