Finite Group Databasebeta

← #14913226

Subgroups — #14913226

Order 2816.

2698 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic11C211yesmaximal, characteristic
2#13071572C212yesmaximal, complemented
3#13071543C214yesmaximal, complemented
4D4×Dic11⋊C4C212yesmaximal, complemented
5#13071511C211yesmaximal, characteristic, complemented
6#13071507C211yesmaximal, characteristic, complemented
7#13071478C212yesmaximal, complemented
8#13071472C212yesmaximal, complemented
9#13071446C211yesmaximal, characteristic
10#13071091C212yesmaximal, complemented
11#13071056C214yesmaximal, complemented
12#13071018C211yesmaximal, characteristic, complemented
13#13071007C212yesmaximal, complemented
14C4×D4×Dic11C212yesmaximal, complemented
15C4×#66930C211yesmaximal, characteristic, complemented
16C2×#10622262C212yesmaximal, complemented
17C11×#2339C211yesmaximal, characteristic
18C22×C11×#41C2211yescharacteristic
19C2×C4×D4×C11C2212yes—
20#41×Dic11C4116yescomplemented
21C2×Q8×Dic11C2211yescharacteristic
22C2×Q8×Dic11C2211yescharacteristic
23C2×D4×Dic11C2212yes—
24C2×D4×Dic11C2211yescharacteristic
25C2×D4×Dic11C2211yescharacteristic
26C2×D4×Dic11C2212yes—
27C2×D4×Dic11C2212yes—
28C2×#66979C2212yes—
29C2×#66979C2211yescharacteristic
30C22×Dic11⋊C4C2214yes—
31C22×C4×Dic11C2214yes—
32C22×C4×Dic11C2212yes—
33C22×C4×Dic11C2211yescharacteristic
34C2×#66930C2212yes—
35C2×#66930C2212yes—
36C11×#391C2212yes—
37C11×#386C2214yes—
38C11×#381C2212yes—
39C11×#380C2211yescharacteristic
40C4×C11×C22⋊C4C2211yescharacteristic
41C2×C11×#95C2212yes—
42#10622843C2212yes—
43#10622833C2214yes—
44#10622825C2211yescharacteristic
45#10622824C2212yes—
46#10622823C2214yes—
47C4×C22⋊Dic11C2211yescharacteristic
48C4×C22⋊Dic11C2214yes—
49C2×C11⋊#95C2212yes—
50#10622589C2212yes—
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2212yes—
53#10622586C2212yes—
54#10622559C2214yes—
55#10622558C2214yes—
56#10622557C2214yes—
57#10622555C2214yes—
58#10622555C2212yes—
59C22⋊C4×Dic11C2212yes—
60C22⋊C4×Dic11C2214yes—
61C22⋊C4×Dic11C2214yes—
62C4×C4⋊Dic11C2212yes—
63C4×Dic11⋊C4C2212yes—
64C42×Dic11C2212yes—
65#10622541C2212yes—
66#10622267C2214yes—
67#10622267C2214yes—
68#10622266C2214yes—
69#10622266C2214yes—
70#10622264C2212yes—
71#10622264C2212yes—
72#10622263C2212yes—
73#10622263C2214yes—
74#10622262C2211yescharacteristic
75#10622262C2212yes—
76#10622262C2212yes—
77#10622262C2212yes—
78#10622262C2214yes—
79#10622262C2214yes—
80#10622262C2211yescharacteristic
81#10622261C2211yescharacteristic
82#10622261C2211yescharacteristic
83#10622261C2214yes—
84C2×C11×#41—28no—
85C2×C11×#41C2×C418yes—
86C22×Q8×C11C2311yescharacteristic
87C22×D4×C11C2312yes—
88C22×D4×C11C2311yescharacteristic
89C23×C4×C11C2314yes—
90C23×C4×C11C2312yes—
91C23×C4×C11C2311yescharacteristic
92C23×Dic11C2314yes—
93C23×Dic11C2311yescharacteristic
94C23×Dic11C2311yescharacteristic
95C23×Dic11C2312yes—
96C23×Dic11C2312yes—
97C4×D4×C11—28no—
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C22⋊C4C2312yes—
100C2×C11×C22⋊C4C2314yes—
101C2×C11×C22⋊C4C2312yes—
102C2×C42×C11C2312yes—
103C2×C22⋊Dic11C2312yes—
104C2×C22⋊Dic11C2314yes—
105C2×C22⋊Dic11C2312yes—
106C2×C22⋊Dic11C2312yes—
107C2×C22⋊Dic11C2312yes—
108C2×C22⋊Dic11C2312yes—
109Q8×Dic11C2×C418yescomplemented
110Q8×Dic11C2×C418yescomplemented
111D4×Dic11—28no—
112D4×Dic11C2×C418yes—
113D4×Dic11C2×C418yes—
114D4×Dic11C2×C4116yescomplemented
115D4×Dic11C2×C4116yescomplemented
116#66979C2×C418yescomplemented
117#66979C2×C4116yescomplemented
118C2×C4⋊Dic11C2312yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121C2×C4⋊Dic11C2311yescharacteristic
122C2×C4⋊Dic11C2311yescharacteristic
123C2×Dic11⋊C4—216no—
124C2×Dic11⋊C4C2312yes—
125C2×Dic11⋊C4C2314yes—
126C2×Dic11⋊C4C2314yes—
127C2×Dic11⋊C4C2314yes—
128C2×Dic11⋊C4C2314yes—
129C2×Dic11⋊C4C2312yes—
130C2×C4×Dic11—48no—
131C2×C4×Dic11C2×C418yescomplemented
132C2×C4×Dic11C2×C4116yescomplemented
133C2×C4×Dic11C2314yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2312yes—
139C2×C4×Dic11C2314yes—
140C2×C4×Dic11C2314yes—
141C2×C4×Dic11C2312yes—
142C2×C4×Dic11C2311yescharacteristic
143C2×C4×Dic11C2311yescharacteristic
144C2×C4×Dic11C2312yes—
145C2×C4×Dic11C2312yes—
146C2×C4×Dic11C2311yescharacteristic
147C2×C4×Dic11C2311yescharacteristic
148#66930—28no—
149#66930—44no—
150C11×#95C2311yescharacteristic
151C11×#95C2311yescharacteristic
152C11×#95C2314yes—
153C11×#95C2312yes—
154C11×#95C2314yes—
155C11⋊#95C2311yescharacteristic
156C11⋊#95C2311yescharacteristic
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2312yes—
163C11⋊#95C2314yes—
164C11⋊#95C2314yes—
165C11⋊#95C2314yes—
166C11⋊#95C2314yes—
167#34127—111nomaximal, Sylow
168C24×C11C2411yescharacteristic
169C24×C11C2412yes—
170C11×#41—232no—
171C2×Q8×C11—24no—
172C2×Q8×C11C22×C414yes—
173C2×D4×C11—28no—
174C2×D4×C11C22×C418yes—
175C2×D4×C11C22×C414yes—
176C2×D4×C11#4118yes—
177C22×C4×C11—28no—
178C22×C4×C11—24no—
179C22×C4×C11—28no—
180C22×C4×C11—28no—
181C22×C4×C11—44no—
182C22×C4×C11C22×C418yes—
183C22×C4×C11C22×C414yes—
184C22×C4×C11C2412yes—
185C22×C4×C11C2414yes—
186C22×C4×C11C2411yescharacteristic
187C22×C4×C11C2412yes—
188C22×C4×C11C2412yes—
189C22×C4×C11C2411yescharacteristic
190C22×Dic11—24no—
191C22×Dic11—28no—
192C22×Dic11—22no—
193C22×Dic11—24no—
194C22×Dic11—24no—
195C22×Dic11—22no—
196C22×Dic11—28no—
197C22×Dic11—28no—
198C22×Dic11—44no—
199C22×Dic11C22×C418yes—
200C22×Dic11C22×C418yes—
201C22×Dic11C22×C414yes—
202C22×Dic11C22×C414yes—
203C22×Dic11C2412yes—
204C22×Dic11C2414yes—
205C22×Dic11C2411yescharacteristic
206C22×Dic11C2412yes—
207C22×Dic11C2412yes—
208C22×Dic11C2411yescharacteristic
209C22×Dic11C2412yes—
210C22×Dic11C2411yescharacteristic
211C22×Dic11C2411yescharacteristic
212C11×C4⋊C4—24no—
213C11×C22⋊C4—28no—
214C11×C22⋊C4—24no—
215C11×C22⋊C4—42no—
216C42×C11—24no—
217C22⋊Dic11—24no—
218C22⋊Dic11—28no—
219C22⋊Dic11—42no—
220C22⋊Dic11C22×C418yes—
221C22⋊Dic11C22×C418yes—
222C22⋊Dic11C22×C418yes—
223C4⋊Dic11—24no—
224C4⋊Dic11C22×C414yes—
225C4⋊Dic11C22×C414yes—
226C4⋊Dic11C22×C418yes—
227C4⋊Dic11C22×C418yes—
228Dic11⋊C4—24no—
229Dic11⋊C4—28no—
230Dic11⋊C4—28no—
231Dic11⋊C4—28no—
232Dic11⋊C4—44no—
233Dic11⋊C4#4118yescomplemented
234C4×Dic11—24no—
235C4×Dic11—28no—
236C4×Dic11—24no—
237C4×Dic11—24no—
238C4×Dic11—24no—
239C4×Dic11—24no—
240C4×Dic11—44no—
241C4×Dic11—44no—
242C4×Dic11C22×C414yes—
243C4×Dic11C22×C414yes—
244C4×Dic11C22×C418yes—
245C4×Dic11C22×C414yes—
246C4×Dic11C22×C414yes—
247C4×Dic11C22×C418yes—
248C4×Dic11C22×C418yes—
249C2×C4×#41—111no—
250#2355—112no—
251#2352—114no—
252D4×C4⋊C4—112no—
253#2347—111no—
254#2347—111no—
255#2343—112no—
256#2343—112no—
257#2339—111no—
258#2339D1111yescharacteristic
259#2295—112no—
260#2290—114no—
261#2285—111no—
262#2283—112no—
263C42×D4—112no—
264C4×#117—111no—
265C2×C4×C4⋊C4—112no—
266C23×C11—24no—
267C23×C11—22no—
268C23×C11—22no—
269C23×C11—22no—
270C23×C11—22no—
271C23×C11—21no—
272C23×C11—21no—
273C23×C11C23×C412yes—
274C23×C11C23×C414yes—
275C23×C11C2×#4118yes—
276C23×C11C2511yescharacteristic
277Q8×C11—28no—
278D4×C11—216no—
279D4×C11#117116yescomplemented
280C2×C4×C11—216no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—24no—
284C2×C4×C11—22no—
285C2×C4×C11—28no—
286C2×C4×C11—22no—
287C2×C4×C11—24no—
288C2×C4×C11—22no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—22no—
292C2×C4×C11—416no—
293C2×C4×C11C23×C412yes—
294C2×C4×C11C23×C414yes—
295C2×C4×C11C23×C412yes—
296C2×C4×C11C2×#4114yes—
297C2×C4×C11C2×#4114yes—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—24no—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—21no—
306C2×Dic11—216no—
307C2×Dic11—28no—
308C2×Dic11—216no—
309C2×Dic11—28no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—24no—
313C2×Dic11—24no—
314C2×Dic11—24no—
315C2×Dic11—22no—
316C2×Dic11—416no—
317C2×Dic11C23×C412yes—
318C2×Dic11C23×C414yes—
319C2×Dic11C23×C412yes—
320C2×Dic11C23×C414yes—
321C2×Dic11C23×C412yes—
322C2×Dic11C23×C412yes—
323C2×Dic11C2×#4114yes—
324C2×Dic11C2×#4114yes—
325C2×Dic11H(5,𝔽2)12yes—
326C2×Dic112−1+412yes—
327C22×#41C2×D1111yescharacteristic
328C4×#41—1116no—
329C2×C4×Q8—111no—
330C2×C4×Q8—111no—
331C2×C4×D4—111no—
332C2×C4×D4—112no—
333C2×C4×D4—111no—
334C2×C4×D4—112no—
335C2×C4×D4—112no—
336C2×C4×D4C2×D1112yes—
337C2×#117—112no—
338C2×#117—111no—
339C2×#117—112no—
340C2×#117—112no—
341C22×C4⋊C4—114no—
342C22×C42—112no—
343C22×C42—111no—
344C22×C42—114no—
345#391—112no—
346#391C2×D1112yes—
347#389—112no—
348#389—112no—
349#388—114no—
350#388—114no—
351#387—114no—
352#387—114no—
353#387—114no—
354#387—114no—
355#386—114no—
356#386C2×D1114yes—
357#385—114no—
358#385—114no—
359#384—112no—
360#383—112no—
361#383—112no—
362#382—112no—
363#382—114no—
364#381—112no—
365#381C2×D1112yes—
366#380—111no—
367#380—114no—
368#380—112no—
369#380C2×D1111yescharacteristic
370C4×C4⋊C4—112no—
371C4×C4⋊C4—112no—
372C4×C4⋊C4—112no—
373C4×C4⋊C4—112no—
374C4×C4⋊C4—112no—
375C4×C4⋊C4—112no—
376C4×C4⋊C4—114no—
377C4×C4⋊C4—111no—
378C4×C4⋊C4—112no—
379C4×C4⋊C4—114no—
380C4×C4⋊C4—111no—
381C4×C22⋊C4—111no—
382C4×C22⋊C4—114no—
383C4×C22⋊C4—114no—
384C4×C22⋊C4—112no—
385C4×C22⋊C4—114no—
386C4×C22⋊C4C2×D1111yescharacteristic
387#376—111no—
388#376—111no—
389#376—114no—
390C2×#95—112no—
391C2×#95C2×D1112yes—
392C43—112no—
393C22×C11—24no—
394C22×C11—24no—
395C22×C11—28no—
396C22×C11—28no—
397C22×C11—22no—
398C22×C11—22no—
399C22×C11—22no—
400C22×C11—42no—
401C22×C11—42no—
402C22×C11C2×#11718yes—
403C22×C11C24×C411yescharacteristic
404C22×C11C22×#4112yes—
405C22×C11C22×#4112yes—
406C22×C11C2×H(5,𝔽2)11yescharacteristic
407C22×C11C2×2−1+411yescharacteristic
408C4×C11—22no—
409C4×C11—24no—
410C4×C11—24no—
411C4×C11—44no—
412C4×C11—42no—
413C4×C11C2×#11714yes—
414Dic11—22no—
415Dic11—24no—
416Dic11—24no—
417Dic11—22no—
418Dic11—24no—
419Dic11—44no—
420Dic11—42no—
421Dic11C4×#4114yes—
422Dic11#52014yes—
423C2×#41—28no—
424C2×#41C4×D1118yes—
425C22×Q8C22×D1111yescharacteristic
426C22×D4C22×D1112yes—
427C22×D4C22×D1111yescharacteristic
428C23×C4—112no—
429C23×C4—111no—
430C23×C4—111no—
431C23×C4—112no—
432C23×C4—114no—
433C23×C4C22×D1114yes—
434C23×C4C22×D1112yes—
435C23×C4C22×D1111yescharacteristic
436C4×Q8—118no—
437C4×Q8—118no—
438C4×D4—28no—
439C4×D4—118no—
440C4×D4—118no—
441C4×D4—1116no—
442C4×D4—1116no—
443C4×D4—228no—
444#117—1116no—
445#117—118no—
446#117—228no—
447#117—444no—
448C2×C4⋊C4—112no—
449C2×C4⋊C4—111no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—114no—
454C2×C4⋊C4—114no—
455C2×C4⋊C4—114no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4—2216no—
460C2×C4⋊C4C22×D1112yes—
461C2×C22⋊C4—112no—
462C2×C22⋊C4—112no—
463C2×C22⋊C4—112no—
464C2×C22⋊C4—112no—
465C2×C22⋊C4—114no—
466C2×C22⋊C4—112no—
467C2×C22⋊C4C22×D1112yes—
468C2×C22⋊C4C22×D1114yes—
469C2×C22⋊C4C22×D1112yes—
470C2×C42—1116no—
471C2×C42—118no—
472C2×C42—111no—
473C2×C42—112no—
474C2×C42—111no—
475C2×C42—112no—
476C2×C42—112no—
477C2×C42—111no—
478C2×C42—111no—
479C2×C42—112no—
480C2×C42—112no—
481C2×C42—114no—
482C2×C42—112no—
483C2×C42—112no—
484C2×C42—112no—
485C2×C42—114no—
486C2×C42—114no—
487C2×C42—448no—
488C2×C42C22×D1112yes—
489#95—111no—
490#95—112no—
491#95—114no—
492#95—111no—
493#95—112no—
494#95—112no—
495#95—114no—
496#95—114no—
497#95—114no—
498#95—114no—
499#95—114no—
500#95—114no—
501#95C22×D1111yescharacteristic
502#95C22×D1112yes—
503#95C22×D1114yes—
504#95C22×D1111yescharacteristic
505#95C22×D1114yes—
506C2×C11—28no—
507C2×C11—42no—
508C2×C11C22×#11711yescharacteristic
509C2×C11C2×C4×#4111yescharacteristic
510C2×C11C2×#52011yescharacteristic
511C2×C11#348112yes—
512C2×C11#348212yes—
513C24C23×D1111yescharacteristic
514C24C23×D1112yes—
515#41—232no—
516C2×Q8—24no—
517C2×Q8C2×C4×D1114yes—
518C2×D4—28no—
519C2×D4C2×C4×D1118yes—
520C2×D4C2×C4×D1114yes—
521C2×D4#434118yes—
522C22×C4—28no—
523C22×C4—24no—
524C22×C4—28no—
525C22×C4—28no—
526C22×C4—44no—
527C22×C4—111no—
528C22×C4—111no—
529C22×C4—114no—
530C22×C4—114no—
531C22×C4—118no—
532C22×C4—118no—
533C22×C4—111no—
534C22×C4—112no—
535C22×C4—112no—
536C22×C4—112no—
537C22×C4—111no—
538C22×C4—112no—
539C22×C4—114no—
540C22×C4—224no—
541C22×C4—228no—
542C22×C4—224no—
543C22×C4—222no—
544C22×C4—224no—
545C22×C4—222no—
546C22×C4—228no—
547C22×C4—228no—
548C22×C4—444no—
549C22×C4C2×C4×D1118yes—
550C22×C4C2×C4×D1114yes—
551C22×C4C23×D1112yes—
552C22×C4C23×D1114yes—
553C22×C4C23×D1111yescharacteristic
554C22×C4C23×D1112yes—
555C22×C4C23×D1112yes—
556C22×C4C23×D1111yescharacteristic
557C4⋊C4—24no—
558C4⋊C4—118no—
559C4⋊C4—118no—
560C4⋊C4—114no—
561C4⋊C4—114no—
562C4⋊C4—118no—
563C4⋊C4—228no—
564C4⋊C4—228no—
565C4⋊C4—224no—
566C4⋊C4—224no—
567C4⋊C4—228no—
568C4⋊C4—444no—
569C22⋊C4—28no—
570C22⋊C4—24no—
571C22⋊C4—42no—
572C22⋊C4—118no—
573C22⋊C4—118no—
574C22⋊C4—118no—
575C22⋊C4—224no—
576C22⋊C4—228no—
577C22⋊C4—442no—
578C42—24no—
579C42—114no—
580C42—114no—
581C42—118no—
582C42—118no—
583C42—118no—
584C42—114no—
585C42—114no—
586C42—224no—
587C42—228no—
588C42—224no—
589C42—224no—
590C42—224no—
591C42—224no—
592C42—444no—
593C42—444no—
594C11#3412711yescharacteristic, complemented, Sylow
595C23—24no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—21no—
601C23—21no—
602C23C22×C4×D1112yes—
603C23C22×C4×D1114yes—
604C23C2×#434118yes—
605C23C24×D1111yescharacteristic
606Q8—28no—
607D4—216no—
608D4#66930116yescomplemented
609C2×C4—216no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—22no—
614C2×C4—28no—
615C2×C4—22no—
616C2×C4—24no—
617C2×C4—22no—
618C2×C4—24no—
619C2×C4—24no—
620C2×C4—22no—
621C2×C4—416no—
622C2×C4—112no—
623C2×C4—112no—
624C2×C4—114no—
625C2×C4—112no—
626C2×C4—112no—
627C2×C4—112no—
628C2×C4—114no—
629C2×C4—114no—
630C2×C4—112no—
631C2×C4—114no—
632C2×C4—2216no—
633C2×C4—228no—
634C2×C4—2216no—
635C2×C4—228no—
636C2×C4—222no—
637C2×C4—222no—
638C2×C4—224no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—221no—
642C2×C4—222no—
643C2×C4—221no—
644C2×C4—222no—
645C2×C4—224no—
646C2×C4—222no—
647C2×C4—224no—
648C2×C4—224no—
649C2×C4—222no—
650C2×C4—4416no—
651C2×C4C22×C4×D1112yes—
652C2×C4C22×C4×D1114yes—
653C2×C4C22×C4×D1112yes—
654C2×C4C2×#434114yes—
655C2×C4#41×D1114yes—
656C22—28no—
657C22—28no—
658C22—24no—
659C22—24no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—42no—
664C22—42no—
665C22C2×#6693018yes—
666C22C23×C4×D1111yescharacteristic
667C22C22×#434112yes—
668C22C2×#41×D1112yes—
669C22D11×H(5,𝔽2)11yescharacteristic
670C22D11×2−1+411yescharacteristic
671C4—24no—
672C4—22no—
673C4—24no—
674C4—44no—
675C4—42no—
676C4—114no—
677C4—114no—
678C4—224no—
679C4—222no—
680C4—224no—
681C4—224no—
682C4—222no—
683C4—444no—
684C4—442no—
685C4C2×#6693014yes—
686C2—28no—
687C2—42no—
688C2C22×#6693011yescharacteristic
689C2C4×#41×D1111yescharacteristic
690C2D11×#52011yescharacteristic
691C2#1308222112yes—
692C2#1308222812yes—
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2339C2
socle, cosocleC23×C11C25
prime radicalC22×C11×#41C22
hypercenter#2339D11
hypocenterC11#34127
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2339

Complements

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

NH ≅ G/Ntype
2. #13071572C2semidirect
3. #13071543C2semidirect
4. D4×Dic11⋊C4C2semidirect
5. #13071511C2semidirect
6. #13071507C2semidirect
7. #13071478C2semidirect
8. #13071472C2semidirect
10. #13071091C2semidirect
11. #13071056C2semidirect
12. #13071018C2semidirect
13. #13071007C2semidirect
14. C4×D4×Dic11C2semidirect
15. C4×#66930C2semidirect
16. C2×#10622262C2semidirect
20. #41×Dic11C4semidirect
109. Q8×Dic11C2×C4semidirect
110. Q8×Dic11C2×C4semidirect
114. D4×Dic11C2×C4semidirect
115. D4×Dic11C2×C4semidirect
116. #66979C2×C4semidirect
117. #66979C2×C4semidirect
131. C2×C4×Dic11C2×C4semidirect
132. C2×C4×Dic11C2×C4semidirect
233. Dic11⋊C4#41semidirect
279. D4×C11#117semidirect
594. C11#34127semidirect
608. D4#66930semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic112
#130715722
#130715432
D4×Dic11⋊C42
#130715112
#130715072
#130714782
#130714722
#130714462
#130710912
#130710562
#130710182
#130710072
C4×D4×Dic112
C4×#669302
C2×#106222622
C11×#23392
#3412711