Finite Group Databasebeta

← Dic11×#548 #14913601

Subgroups — Dic11×#548 #14913601

Order 2816.

3232 conjugacy classes of subgroups.

The subgroup lattice has 660 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#41×Dic11C211yesmaximal, characteristic, complemented
2C22×Q8×Dic11C211yesmaximal, characteristic, complemented
3#13071691C213yesmaximal, complemented
4#13071647C213yesmaximal, complemented
5#13071636C213yesmaximal, complemented
6#13071545C213yesmaximal, complemented
7#13071537C211yesmaximal, characteristic, complemented
8#13071457C211yesmaximal, characteristic, complemented
9Q8×C22⋊Dic11C211yesmaximal, characteristic, complemented
10#124×Dic11C213yesmaximal, complemented
11C22⋊Q8×Dic11C213yesmaximal, complemented
12#121×Dic11C213yesmaximal, complemented
13C4×Q8×Dic11C211yesmaximal, characteristic, complemented
14C4×D4×Dic11C213yesmaximal, complemented
15C2×C11×#548C211yesmaximal, characteristic
16C22×C11×#41C2211yescharacteristic
17C23×Q8×C11C2211yescharacteristic
18C11×#548C4116yescomplemented
19C2×C11×#124C2213yes—
20C2×C11×C22⋊Q8C2213yes—
21C2×C11×#121C2213yes—
22C2×C4×Q8×C11C2211yescharacteristic
23C2×C4×D4×C11C2213yes—
24#41×Dic11—28no—
25C2×Q8×Dic11—28no—
26C2×Q8×Dic11C2213yes—
27C2×Q8×Dic11C2213yes—
28C2×Q8×Dic11C2211yescharacteristic
29C2×Q8×Dic11C2211yescharacteristic
30C2×Q8×Dic11C2211yescharacteristic
31C2×Q8×Dic11C2211yescharacteristic
32C2×D4×Dic11C2213yes—
33C2×D4×Dic11C2213yes—
34C2×D4×Dic11C2213yes—
35C2×D4×Dic11C2213yes—
36C2×#66979C2213yes—
37C22×C4⋊Dic11C2213yes—
38C22×C4×Dic11C2213yes—
39C22×C4×Dic11C2213yes—
40#10622843C2213yes—
41#10622843C2213yes—
42#10622834C2213yes—
43#10622834C2213yes—
44#10622833C2216yes—
45#10622825C2213yes—
46#10622825C2213yes—
47C4×C22⋊Dic11C2213yes—
48C4×C22⋊Dic11C2213yes—
49#10622598C2213yes—
50#10622598C2213yes—
51#10622594C2216yes—
52C4⋊C4×Dic11C2213yes—
53C4⋊C4×Dic11C2213yes—
54C4⋊C4×Dic11C2213yes—
55C4⋊C4×Dic11C2213yes—
56#10622564C2216yes—
57#10622564C2216yes—
58#10622564C2216yes—
59#10622563C2216yes—
60C22⋊C4×Dic11C2216yes—
61C22⋊C4×Dic11C2213yes—
62C22⋊C4×Dic11C2213yes—
63C22⋊C4×Dic11C2211yescharacteristic
64C22⋊C4×Dic11C2213yes—
65#10622549C2213yes—
66C4×C4⋊Dic11C2213yes—
67C4×C4⋊Dic11C2213yes—
68C42×Dic11C2213yes—
69C2×C11×#41—24no—
70C2×C11×#41—24no—
71C2×C11×#41C2×C418yescomplemented
72C22×Q8×C11—24no—
73C22×Q8×C11—24no—
74C22×Q8×C11C2×C418yescomplemented
75C22×Q8×C11C2313yes—
76C22×Q8×C11C2311yescharacteristic
77C22×D4×C11C2313yes—
78C22×D4×C11C2313yes—
79C23×C4×C11C2313yes—
80C23×C4×C11C2313yes—
81C23×Dic11C2313yes—
82C23×Dic11C2313yes—
83C23×Dic11C2313yes—
84C23×Dic11C2311yescharacteristic
85C11×#124C2×C4124yescomplemented
86C11×C22⋊Q8C2×C4124yescomplemented
87C11×#121C2×C4124yescomplemented
88C4×Q8×C11C2×C418yescomplemented
89C4×D4×C11C2×C4124yescomplemented
90C2×C11×C4⋊C4C2313yes—
91C2×C11×C4⋊C4C2313yes—
92C2×C11×C22⋊C4C2311yescharacteristic
93C2×C11×C22⋊C4C2313yes—
94C2×C11×C22⋊C4C2316yes—
95C2×C42×C11C2313yes—
96C2×C22⋊Dic11C2316yes—
97C2×C22⋊Dic11C2313yes—
98C2×C22⋊Dic11C2313yes—
99C2×C22⋊Dic11C2313yes—
100C2×C22⋊Dic11C2316yes—
101C2×C22⋊Dic11C2311yescharacteristic
102Q8×Dic11—24no—
103Q8×Dic11—24no—
104Q8×Dic11—24no—
105Q8×Dic11—212no—
106Q8×Dic11—212no—
107Q8×Dic11D418yescomplemented
108D4×Dic11—212no—
109D4×Dic11—212no—
110D4×Dic11—212no—
111D4×Dic11—212no—
112#66979—212no—
113C2×C4⋊Dic11—212no—
114C2×C4⋊Dic11C2313yes—
115C2×C4⋊Dic11C2313yes—
116C2×C4⋊Dic11C2313yes—
117C2×C4⋊Dic11C2313yes—
118C2×C4⋊Dic11C2316yes—
119C2×C4⋊Dic11C2313yes—
120C2×C4⋊Dic11C2313yes—
121C2×C4×Dic11—212no—
122C2×C4×Dic11—212no—
123C2×C4×Dic11C2311yescharacteristic
124C2×C4×Dic11C2313yes—
125C2×C4×Dic11C2313yes—
126C2×C4×Dic11C2313yes—
127C2×C4×Dic11C2311yescharacteristic
128C2×C4×Dic11C2313yes—
129C2×C4×Dic11C2313yes—
130C2×C4×Dic11C2313yes—
131C2×C4×Dic11C2313yes—
132C2×C4×Dic11C2313yes—
133C2×C4×Dic11C2313yes—
134C2×C4×Dic11C2313yes—
135C11⋊#95C2311yescharacteristic
136C11⋊#95C2313yes—
137C11⋊#95C2316yes—
138C11⋊#95C2316yes—
139C11⋊#95C2313yes—
140C11⋊#95C2313yes—
141C11⋊#95C2316yes—
142C11⋊#95C2311yescharacteristic
143C11⋊#95C2313yes—
144C4×#548—111nomaximal, Sylow
145C24×C11C2413yes—
146C24×C11C2411yescharacteristic
147C11×#41—232no—
148C2×Q8×C11—232no—
149C2×Q8×C11—26no—
150C2×Q8×C11—26no—
151C2×Q8×C11C22×C4112yes—
152C2×Q8×C11C22×C414yes—
153C2×Q8×C11C2×D414yes—
154C2×Q8×C11#4114yes—
155C2×D4×C11—26no—
156C2×D4×C11—26no—
157C2×D4×C11—26no—
158C2×D4×C11—26no—
159C2×D4×C11C22×C4112yes—
160C2×D4×C11C22×C4112yes—
161C22×C4×C11—26no—
162C22×C4×C11—26no—
163C22×C4×C11—26no—
164C22×C4×C11—26no—
165C22×C4×C11C22×C4112yes—
166C22×C4×C11C22×C4112yes—
167C22×C4×C11C2411yescharacteristic
168C22×C4×C11C2411yescharacteristic
169C22×C4×C11C2413yes—
170C22×C4×C11C2413yes—
171C22×C4×C11C2413yes—
172C22×Dic11—22no—
173C22×Dic11—22no—
174C22×Dic11—26no—
175C22×Dic11—26no—
176C22×Dic11—26no—
177C22×Dic11—26no—
178C22×Dic11—26no—
179C22×Dic11—26no—
180C22×Dic11—26no—
181C22×Dic11—43no—
182C22×Dic11—43no—
183C22×Dic11#4114yescomplemented
184C22×Dic11C2413yes—
185C22×Dic11C2413yes—
186C22×Dic11C2413yes—
187C22×Dic11C2413yes—
188C22×Dic11C2411yescharacteristic
189C22×Dic11C2411yescharacteristic
190C22×Dic11C2411yescharacteristic
191C22×Dic11C2411yescharacteristic
192C11×C4⋊C4C22×C4112yes—
193C11×C4⋊C4C22×C4112yes—
194C11×C22⋊C4C22×C414yes—
195C11×C22⋊C4C22×C4112yes—
196C11×C22⋊C4C22×C4124yes—
197C42×C11C22×C4112yes—
198C22⋊Dic11—212no—
199C22⋊Dic11—26no—
200C22⋊Dic11—26no—
201C22⋊Dic11—26no—
202C22⋊Dic11—46no—
203C22⋊Dic11#4114yescomplemented
204C4⋊Dic11—212no—
205C4⋊Dic11—26no—
206C4⋊Dic11—26no—
207C4⋊Dic11—26no—
208C4⋊Dic11—26no—
209C4⋊Dic11—26no—
210C4⋊Dic11C2×D4112yes—
211C4×Dic11—22no—
212C4×Dic11—26no—
213C4×Dic11—26no—
214C4×Dic11—26no—
215C4×Dic11—26no—
216C4×Dic11—26no—
217C4×Dic11—22no—
218C4×Dic11—26no—
219C4×Dic11—26no—
220C4×Dic11—26no—
221C4×Dic11—43no—
222C4×Dic11C2×D4112yes—
223C2×#548D1111yescharacteristic
224C2×C4×#41—111no—
225C22×C4×Q8—111no—
226#2367—113no—
227#2362—113no—
228#2361—113no—
229#2352—113no—
230#2351—111no—
231#2341—111no—
232Q8×C22⋊C4—111no—
233C4×#124—113no—
234C4×C22⋊Q8—113no—
235C4×#121—113no—
236C42×Q8—111no—
237C42×D4—113no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11—23no—
243C23×C11—23no—
244C23×C11—23no—
245C23×C11—23no—
246C23×C11—23no—
247C23×C11—23no—
248C23×C11C23×C416yes—
249C23×C11C23×C412yes—
250C23×C11C2×#4112yes—
251C23×C11C2×#4112yes—
252C23×C11C2511yescharacteristic
253Q8×C11—224no—
254Q8×C11C4×D4116yescomplemented
255D4×C11—224no—
256D4×C11—224no—
257C2×C4×C11—21no—
258C2×C4×C11—23no—
259C2×C4×C11—23no—
260C2×C4×C11—23no—
261C2×C4×C11—21no—
262C2×C4×C11—23no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—224no—
266C2×C4×C11—224no—
267C2×C4×C11C23×C412yes—
268C2×C4×C11C23×C416yes—
269C2×C4×C11C23×C416yes—
270C2×C4×C11C23×C412yes—
271C2×C4×C11C23×C416yes—
272C2×C4×C11C22×D416yes—
273C2×C4×C11C2×#4116yes—
274C2×Dic11—21no—
275C2×Dic11—21no—
276C2×Dic11—21no—
277C2×Dic11—23no—
278C2×Dic11—21no—
279C2×Dic11—21no—
280C2×Dic11—23no—
281C2×Dic11—21no—
282C2×Dic11—28no—
283C2×Dic11—23no—
284C2×Dic11—23no—
285C2×Dic11—23no—
286C2×Dic11—23no—
287C2×Dic11—23no—
288C2×Dic11—23no—
289C2×Dic11—23no—
290C2×Dic11—23no—
291C2×Dic11—23no—
292C2×Dic11—412no—
293C2×Dic11—412no—
294C2×Dic11—412no—
295C2×Dic11C22×D416yes—
296C2×Dic11C22×D412yes—
297C2×Dic11C2×#4112yes—
298C2×Dic11C2×#4112yes—
299C2×Dic11C2×#4112yes—
300C2×Dic11C2×#4112yes—
301C2×Dic112−1+412yes—
302C22×#41C2×D1111yescharacteristic
303C23×Q8C2×D1111yescharacteristic
304#548Dic11116yesdirect product factor
305C2×#124C2×D1113yes—
306C2×C22⋊Q8C2×D1113yes—
307C2×#121C2×D1113yes—
308C4×#41—228no—
309C2×C4×Q8—111no—
310C2×C4×Q8—111no—
311C2×C4×Q8—111no—
312C2×C4×Q8—111no—
313C2×C4×Q8—113no—
314C2×C4×Q8—113no—
315C2×C4×Q8—228no—
316C2×C4×Q8C2×D1111yescharacteristic
317C2×C4×D4—113no—
318C2×C4×D4—113no—
319C2×C4×D4—113no—
320C2×C4×D4—113no—
321C2×C4×D4C2×D1113yes—
322C2×#117—113no—
323C22×C4⋊C4—113no—
324C22×C42—113no—
325C22×C42—113no—
326#391—113no—
327#391—113no—
328#390—113no—
329#390—113no—
330#389—113no—
331#389—113no—
332#388—116no—
333#388—116no—
334#388—116no—
335#387—116no—
336#386—116no—
337#385—116no—
338#382—113no—
339#380—113no—
340#380—113no—
341C4×C4⋊C4—113no—
342C4×C4⋊C4—113no—
343C4×C4⋊C4—113no—
344C4×C4⋊C4—113no—
345C4×C4⋊C4—113no—
346C4×C4⋊C4—113no—
347C4×C22⋊C4—113no—
348C4×C22⋊C4—113no—
349C4×C22⋊C4—113no—
350C4×C22⋊C4—113no—
351C4×C22⋊C4—111no—
352C4×C22⋊C4—113no—
353C4×C22⋊C4—116no—
354C43—113no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11—26no—
362C22×C11—26no—
363C22×C11—26no—
364C22×C11—43no—
365C22×C11—43no—
366C22×C11—43no—
367C22×C11—43no—
368C22×C11C4×#4114yescomplemented
369C22×C11C24×C411yescharacteristic
370C22×C11C23×D411yescharacteristic
371C22×C11C22×#4111yescharacteristic
372C22×C11C22×#4111yescharacteristic
373C22×C11C22×#4111yescharacteristic
374C22×C11C2×2−1+411yescharacteristic
375C22×C11#58511yescharacteristic
376C4×C11—22no—
377C4×C11—26no—
378C4×C11—26no—
379C4×C11—22no—
380C4×C11C2×C4×D4112yes—
381Dic11—22no—
382Dic11—22no—
383Dic11—26no—
384Dic11—22no—
385Dic11—43no—
386Dic11—43no—
387Dic11—43no—
388Dic11#54814yesdirect product factor
389C2×#41—24no—
390C2×#41—24no—
391C2×#41C2×Dic1118yescomplemented
392C22×Q8—24no—
393C22×Q8—24no—
394C22×Q8C2×Dic1118yescomplemented
395C22×Q8C22×D1113yes—
396C22×Q8C22×D1111yescharacteristic
397C22×D4C22×D1113yes—
398C22×D4C22×D1113yes—
399C23×C4—111no—
400C23×C4—113no—
401C23×C4—113no—
402C23×C4—113no—
403C23×C4C22×D1113yes—
404C23×C4C22×D1113yes—
405#124C2×Dic11124yescomplemented
406C22⋊Q8C2×Dic11124yescomplemented
407#121C2×Dic11124yescomplemented
408C4×Q8—118no—
409C4×Q8—2212no—
410C4×Q8—2212no—
411C4×Q8—224no—
412C4×Q8—224no—
413C4×Q8—224no—
414C4×Q8C2×Dic1118yescomplemented
415C4×D4—2212no—
416C4×D4—2212no—
417C4×D4—2212no—
418C4×D4—2212no—
419C4×D4C2×Dic11124yescomplemented
420#117—2212no—
421C2×C4⋊C4—113no—
422C2×C4⋊C4—113no—
423C2×C4⋊C4—116no—
424C2×C4⋊C4—113no—
425C2×C4⋊C4—113no—
426C2×C4⋊C4—113no—
427C2×C4⋊C4—113no—
428C2×C4⋊C4—2212no—
429C2×C4⋊C4C22×D1113yes—
430C2×C4⋊C4C22×D1113yes—
431C2×C22⋊C4—111no—
432C2×C22⋊C4—116no—
433C2×C22⋊C4—113no—
434C2×C22⋊C4—113no—
435C2×C22⋊C4—113no—
436C2×C22⋊C4—116no—
437C2×C22⋊C4C22×D1111yescharacteristic
438C2×C22⋊C4C22×D1113yes—
439C2×C22⋊C4C22×D1116yes—
440C2×C42—113no—
441C2×C42—113no—
442C2×C42—113no—
443C2×C42—113no—
444C2×C42—113no—
445C2×C42—113no—
446C2×C42—113no—
447C2×C42—113no—
448C2×C42—113no—
449C2×C42—111no—
450C2×C42—111no—
451C2×C42—113no—
452C2×C42—2212no—
453C2×C42—2212no—
454C2×C42C22×D1113yes—
455#95—111no—
456#95—111no—
457#95—113no—
458#95—113no—
459#95—113no—
460#95—113no—
461#95—116no—
462#95—116no—
463#95—116no—
464C2×C11—24no—
465C2×C11—46no—
466C2×C11C22×C4×D411yescharacteristic
467C2×C11C2×C4×#4111yescharacteristic
468C2×C11C4×2−1+411yescharacteristic
469C2×C11C2×#54811yescharacteristic
470C2×C11D4×#4111yescharacteristic
471C2×C11#348011yescharacteristic
472C2×C11#348211yescharacteristic
473C24C23×D1113yes—
474C24C23×D1111yescharacteristic
475#41—232no—
476C2×Q8—232no—
477C2×Q8—26no—
478C2×Q8—26no—
479C2×Q8D4×D1114yes—
480C2×Q8#434114yes—
481C2×Q8C22×Dic11112yes—
482C2×Q8C22×Dic1114yes—
483C2×D4—26no—
484C2×D4—26no—
485C2×D4—26no—
486C2×D4—26no—
487C2×D4C22×Dic11112yes—
488C2×D4C22×Dic11112yes—
489C22×C4—26no—
490C22×C4—26no—
491C22×C4—26no—
492C22×C4—26no—
493C22×C4—111no—
494C22×C4—114no—
495C22×C4—111no—
496C22×C4—111no—
497C22×C4—111no—
498C22×C4—113no—
499C22×C4—113no—
500C22×C4—113no—
501C22×C4—113no—
502C22×C4—222no—
503C22×C4—222no—
504C22×C4—226no—
505C22×C4—226no—
506C22×C4—226no—
507C22×C4—226no—
508C22×C4—226no—
509C22×C4—226no—
510C22×C4—226no—
511C22×C4—443no—
512C22×C4—443no—
513C22×C4C22×Dic11112yes—
514C22×C4C22×Dic11112yes—
515C22×C4C23×D1111yescharacteristic
516C22×C4C23×D1111yescharacteristic
517C22×C4C23×D1113yes—
518C22×C4C23×D1113yes—
519C22×C4C23×D1113yes—
520C4⋊C4—1112no—
521C4⋊C4—2212no—
522C4⋊C4—226no—
523C4⋊C4—226no—
524C4⋊C4—226no—
525C4⋊C4—226no—
526C4⋊C4—226no—
527C4⋊C4C22×Dic11112yes—
528C4⋊C4C22×Dic11112yes—
529C22⋊C4—114no—
530C22⋊C4—2212no—
531C22⋊C4—226no—
532C22⋊C4—226no—
533C22⋊C4—226no—
534C22⋊C4—446no—
535C22⋊C4C22×Dic1114yes—
536C22⋊C4C22×Dic11112yes—
537C22⋊C4C22×Dic11124yes—
538C42—1112no—
539C42—222no—
540C42—226no—
541C42—226no—
542C42—226no—
543C42—226no—
544C42—226no—
545C42—222no—
546C42—226no—
547C42—226no—
548C42—226no—
549C42—443no—
550C42C22×Dic11112yes—
551C11C4×#54811yescharacteristic, complemented, Sylow
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—23no—
557C23—23no—
558C23—23no—
559C23—23no—
560C23—23no—
561C23—23no—
562C23#41×D1112yes—
563C23#41×D1112yes—
564C23C23×Dic1116yes—
565C23C23×Dic1112yes—
566C23C24×D1111yescharacteristic
567Q8—224no—
568Q8D4×Dic11116yescomplemented
569D4—224no—
570D4—224no—
571C2×C4—21no—
572C2×C4—23no—
573C2×C4—21no—
574C2×C4—23no—
575C2×C4—23no—
576C2×C4—23no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—224no—
580C2×C4—224no—
581C2×C4—112no—
582C2×C4—112no—
583C2×C4—112no—
584C2×C4—116no—
585C2×C4—112no—
586C2×C4—112no—
587C2×C4—112no—
588C2×C4—228no—
589C2×C4—221no—
590C2×C4—221no—
591C2×C4—221no—
592C2×C4—223no—
593C2×C4—221no—
594C2×C4—221no—
595C2×C4—223no—
596C2×C4—221no—
597C2×C4—223no—
598C2×C4—223no—
599C2×C4—223no—
600C2×C4—223no—
601C2×C4—223no—
602C2×C4—223no—
603C2×C4—223no—
604C2×C4—223no—
605C2×C4—223no—
606C2×C4—4412no—
607C2×C4—4412no—
608C2×C4—4412no—
609C2×C4C2×D4×D1116yes—
610C2×C4C2×#434116yes—
611C2×C4C23×Dic1112yes—
612C2×C4C23×Dic1116yes—
613C2×C4C23×Dic1116yes—
614C2×C4C23×Dic1112yes—
615C2×C4C23×Dic1116yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—26no—
623C22—26no—
624C22—26no—
625C22—43no—
626C22—43no—
627C22—43no—
628C22—43no—
629C22#41×Dic1114yescomplemented
630C22C22×D4×D1111yescharacteristic
631C22C22×#434111yescharacteristic
632C22C2×#41×D1111yescharacteristic
633C22C2×#41×D1111yescharacteristic
634C22D11×2−1+411yescharacteristic
635C22#1062345711yescharacteristic
636C22C24×Dic1111yescharacteristic
637C4—22no—
638C4—26no—
639C4—26no—
640C4—22no—
641C4—114no—
642C4—222no—
643C4—222no—
644C4—222no—
645C4—226no—
646C4—443no—
647C4—443no—
648C4—443no—
649C4C2×D4×Dic11112yes—
650C2—24no—
651C2—46no—
652C2C22×D4×Dic1111yescharacteristic
653C2C2×#41×Dic1111yescharacteristic
654C22−1+4×Dic1111yescharacteristic
655C2D11×#54811yescharacteristic
656C2#1308210511yescharacteristic
657C2#1308220611yescharacteristic
658C2#1308223211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
Fitting, prime radicalC2×C11×#548C2
socle, cosocleC23×C11C25
hypercenterC2×#548D11
hypocenterC11C4×#548
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×#548

Complements

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

NH ≅ G/Ntype
1. C2×#41×Dic11C2semidirect
2. C22×Q8×Dic11C2semidirect
3. #13071691C2semidirect
4. #13071647C2semidirect
5. #13071636C2semidirect
6. #13071545C2semidirect
7. #13071537C2semidirect
8. #13071457C2semidirect
9. Q8×C22⋊Dic11C2semidirect
10. #124×Dic11C2semidirect
11. C22⋊Q8×Dic11C2semidirect
12. #121×Dic11C2semidirect
13. C4×Q8×Dic11C2semidirect
14. C4×D4×Dic11C2semidirect
18. C11×#548C4semidirect
71. C2×C11×#41C2×C4semidirect
74. C22×Q8×C11C2×C4semidirect
85. C11×#124C2×C4semidirect
86. C11×C22⋊Q8C2×C4semidirect
87. C11×#121C2×C4semidirect
88. C4×Q8×C11C2×C4semidirect
89. C4×D4×C11C2×C4semidirect
107. Q8×Dic11D4semidirect
183. C22×Dic11#41semidirect
203. C22⋊Dic11#41semidirect
254. Q8×C11C4×D4semidirect
304. #548Dic11direct (N × H)
368. C22×C11C4×#41semidirect
388. Dic11#548direct (N × H)
391. C2×#41C2×Dic11semidirect
394. C22×Q8C2×Dic11semidirect
405. #124C2×Dic11semidirect
406. C22⋊Q8C2×Dic11semidirect
407. #121C2×Dic11semidirect
414. C4×Q8C2×Dic11semidirect
419. C4×D4C2×Dic11semidirect
551. C11C4×#548semidirect
568. Q8D4×Dic11semidirect
629. C22#41×Dic11semidirect

Maximal subgroups

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

subgroupindex
C2×#41×Dic112
C22×Q8×Dic112
#130716912
#130716472
#130716362
#130715452
#130715372
#130714572
Q8×C22⋊Dic112
#124×Dic112
C22⋊Q8×Dic112
#121×Dic112
C4×Q8×Dic112
C4×D4×Dic112
C2×C11×#5482
C4×#54811