Finite Group Databasebeta

← C4×Q8×C22⋊D11 #14913635

Subgroups — C4×Q8×C22⋊D11 #14913635

Order 2816.

3148 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×Q8×C22⋊D11C211yesmaximal, characteristic
2C2×C4×Q8×D11C211yesmaximal, characteristic, complemented
3#13071670C213yesmaximal, complemented
4#13071621C213yesmaximal, complemented
5#13071617C213yesmaximal, complemented
6Q8×Dic11⋊C4C211yesmaximal, characteristic, complemented
7C4⋊C4×C22⋊D11C213yesmaximal
8Q8×C22⋊Dic11C211yesmaximal, characteristic, complemented
9Q8×(C2×D11)⋊C4C211yesmaximal, characteristic, complemented
10C4×#66997C213yesmaximal, complemented
11C4×#66977C213yesmaximal, complemented
12C4×#66999C213yesmaximal, complemented
13C4×Q8×Dic11C211yesmaximal, characteristic, complemented
14C42×C22⋊D11C213yesmaximal
15C22×C4×Q8×C11C211yesmaximal, characteristic, complemented
16C23×Q8×C11C2211yescharacteristic
17C22×Q8×D11C2211yescharacteristic
18C2×C4×Q8×C11—28no—
19C2×C4×Q8×C11C2213yes—
20C2×C4×Q8×C11C2213yes—
21C2×C4×Q8×C11C2211yescharacteristic
22C2×C4×Q8×C11C2211yescharacteristic
23C22×C11×C4⋊C4C2213yes—
24C22×C42×C11C2213yes—
25Q8×C22⋊D11C4116yesdirect product factor
26C2×#66999C2213yes—
27C2×Q8×Dic11C2211yescharacteristic
28C2×Q8×Dic11C2211yescharacteristic
29C2×Q8×Dic11C2211yescharacteristic
30C2×#66997C2213yes—
31C2×C4×C22⋊D11C2213yes—
32C2×C4×C22⋊D11C2213yes—
33C2×C4×C22⋊D11C2211yescharacteristic
34C2×#66977C2213yes—
35C4×Q8×D11—28no—
36C2×C4⋊C4×D11C2213yes—
37C2×#66940C2213yes—
38C2×C42×D11C2213yes—
39C2×C4×Dic22C2213yes—
40#10622843C2213yes—
41#10622843C2213yes—
42#10622825C2213yes—
43#10622823C2216yes—
44C4×C22⋊Dic11C2213yes—
45C4×C22⋊Dic11C2213yes—
46C4×C22⋊Dic11C2213yes—
47#10622602C2216yes—
48#10622600C2213yes—
49#10622591C2216yes—
50#10622589C2213yes—
51C4⋊C4×Dic11C2213yes—
52C4⋊C4×Dic11C2213yes—
53#10622587C2213yes—
54#10622586C2213yes—
55#10622585C2216yes—
56#10622585C2216yes—
57C4×(C2×D11)⋊C4C2213yes—
58C4×(C2×D11)⋊C4C2213yes—
59C4×(C2×D11)⋊C4C2213yes—
60C4×C4⋊Dic11C2213yes—
61#10622546C2216yes—
62C4×Dic11⋊C4C2216yes—
63C4×Dic11⋊C4C2213yes—
64C4×Dic11⋊C4C2213yes—
65C4×Dic11⋊C4C2213yes—
66C42×Dic11C2213yes—
67#10622542C2213yes—
68#10622541C2213yes—
69C22×Q8×C11—24no—
70C22×Q8×C11—24no—
71C22×Q8×C11C2×C418yescomplemented
72C22×Q8×C11C2313yes—
73C22×Q8×C11C2311yescharacteristic
74C23×C4×C11C2313yes—
75C23×C4×C11C2313yes—
76C23×C4×C11C2311yescharacteristic
77C22×C22⋊D11C2311yescharacteristic
78C2×Q8×D11—24no—
79C2×Q8×D11—24no—
80C2×Q8×D11C2×C418yescomplemented
81C22×C4×D11C2313yes—
82C22×C4×D11C2313yes—
83C22×C4×D11C2311yescharacteristic
84C22×Dic22C2313yes—
85C4×Q8×C11—24no—
86C4×Q8×C11—212no—
87C4×Q8×C11—212no—
88C4×Q8×C11D418yescomplemented
89C2×C11×C4⋊C4—212no—
90C2×C11×C4⋊C4C2316yes—
91C2×C11×C4⋊C4C2313yes—
92C2×C11×C4⋊C4C2313yes—
93C2×C42×C11—212no—
94C2×C42×C11C2313yes—
95C2×C42×C11C2313yes—
96C2×C42×C11C2313yes—
97C2×C42×C11C2313yes—
98C2×C22⋊Dic11C2313yes—
99C2×C22⋊Dic11C2313yes—
100C2×C22⋊Dic11C2311yescharacteristic
101#66999C2×C4124yescomplemented
102Q8×Dic11—24no—
103Q8×Dic11—24no—
104Q8×Dic11C2×C418yescomplemented
105#66997C2×C4124yescomplemented
106C4×C22⋊D11—212no—
107C4×C22⋊D11C2×C4124yes—
108C4×C22⋊D11Q818yesdirect product factor
109C2×(C2×D11)⋊C4C2313yes—
110C2×(C2×D11)⋊C4C2313yes—
111C2×(C2×D11)⋊C4C2311yescharacteristic
112C2×C4⋊Dic11C2313yes—
113C2×C4⋊Dic11C2313yes—
114C2×C4⋊Dic11C2313yes—
115#66977C2×C4124yescomplemented
116C2×Dic11⋊C4C2316yes—
117C2×Dic11⋊C4C2313yes—
118C2×Dic11⋊C4C2316yes—
119C2×Dic11⋊C4C2313yes—
120C2×Dic11⋊C4C2316yes—
121C2×Dic11⋊C4C2311yescharacteristic
122C2×C4×Dic11C2313yes—
123C2×C4×Dic11C2313yes—
124C2×C4×Dic11C2313yes—
125C2×C4×Dic11C2313yes—
126C2×C4×Dic11C2313yes—
127C2×C4×Dic11C2313yes—
128C2×C4×Dic11C2313yes—
129C2×C4×Dic11C2313yes—
130C2×C4×Dic11C2311yescharacteristic
131C4⋊C4×D11—212no—
132#66940—212no—
133C42×D11—212no—
134C4×Dic22—212no—
135C11⋊#95C2313yes—
136C11⋊#95C2313yes—
137C11⋊#95C2316yes—
138C11⋊#95C2316yes—
139C11⋊#95C2313yes—
140C11⋊#95C2313yes—
141C11⋊#95C2313yes—
142C11⋊#95C2313yes—
143C11⋊#95C2316yes—
144C4×D4×Q8—111nomaximal, Sylow
145C24×C11C2411yescharacteristic
146C23×D11C2411yescharacteristic
147C2×Q8×C11—232no—
148C2×Q8×C11—26no—
149C2×Q8×C11—26no—
150C2×Q8×C11C22×C4112yes—
151C2×Q8×C11C22×C414yes—
152C2×Q8×C11C2×D414yes—
153C2×Q8×C11#4114yes—
154C22×C4×C11—22no—
155C22×C4×C11—26no—
156C22×C4×C11—26no—
157C22×C4×C11—22no—
158C22×C4×C11—26no—
159C22×C4×C11—26no—
160C22×C4×C11—43no—
161C22×C4×C11C22×C4112yes—
162C22×C4×C11C2×Q814yescomplemented
163C22×C4×C11C2413yes—
164C22×C4×C11C2413yes—
165C22×C4×C11C2413yes—
166C22×C4×C11C2411yescharacteristic
167C22×C4×C11C2413yes—
168C22×C4×C11C2411yescharacteristic
169C2×C22⋊D11C22×C414yes—
170C2×C22⋊D11C2×Q814yes—
171C2×C22⋊D11#4114yes—
172C22×Dic11C2413yes—
173C22×Dic11C2413yes—
174C22×Dic11C2413yes—
175C22×Dic11C2413yes—
176C22×Dic11C2411yescharacteristic
177C22×Dic11C2411yescharacteristic
178C22×Dic11C2411yescharacteristic
179Q8×D11—232no—
180C2×C4×D11—26no—
181C2×C4×D11—22no—
182C2×C4×D11—26no—
183C2×C4×D11—26no—
184C2×C4×D11—26no—
185C2×C4×D11—22no—
186C2×C4×D11—43no—
187C2×C4×D11C22×C4112yes—
188C2×C4×D11C2×Q814yescomplemented
189C2×Dic22—26no—
190C2×Dic22—26no—
191C2×Dic22C22×C4112yes—
192C11×C4⋊C4—212no—
193C11×C4⋊C4—26no—
194C11×C4⋊C4C2×D4112yes—
195C42×C11—26no—
196C42×C11—26no—
197C42×C11—26no—
198C42×C11C2×D4112yes—
199C22⋊Dic11—26no—
200C22⋊Dic11C22×C4112yes—
201C22⋊Dic11C2×Q814yescomplemented
202(C2×D11)⋊C4—26no—
203(C2×D11)⋊C4C22×C4112yes—
204(C2×D11)⋊C4C2×Q814yescomplemented
205C4⋊Dic11—26no—
206C4⋊Dic11—26no—
207C4⋊Dic11C22×C4112yes—
208Dic11⋊C4—26no—
209Dic11⋊C4—212no—
210Dic11⋊C4—46no—
211Dic11⋊C4C22×C4124yes—
212Dic11⋊C4C22×C4112yes—
213Dic11⋊C4C2×Q814yescomplemented
214C4×Dic11—26no—
215C4×Dic11—26no—
216C4×Dic11—26no—
217C4×Dic11—26no—
218C4×Dic11—26no—
219C4×Dic11—26no—
220C4×Dic11—43no—
221C4×Dic11C22×C4112yes—
222C4×Dic11C2×Q814yescomplemented
223C2×D4×Q8—111no—
224C22×C4×Q8—111no—
225C22×C4×Q8D1111yescharacteristic, complemented
226#2365—113no—
227#2360—113no—
228#2360—113no—
229Q8×C4⋊C4—111no—
230D4×C4⋊C4—113no—
231Q8×C22⋊C4—111no—
232Q8×C22⋊C4—111no—
233C4×C4⋊Q8—113no—
234C4×C22⋊Q8—113no—
235C4×C22⋊Q8—113no—
236C42×Q8—111no—
237C42×D4—113no—
238C23×C11—21no—
239C23×C11—21no—
240C23×C11—21no—
241C23×C11—21no—
242C23×C11C23×C412yes—
243C23×C11C22×Q812yes—
244C23×C11C2×#4112yes—
245C23×C11C2511yescharacteristic
246C22×D11—21no—
247C22×D11—21no—
248C22×D11—21no—
249C22×D11—21no—
250C22×D11C23×C412yes—
251C22×D11C22×Q812yes—
252C22×D11C2×#4112yes—
253Q8×C11—224no—
254Q8×C11C4×D4116yescomplemented
255C2×C4×C11—21no—
256C2×C4×C11—23no—
257C2×C4×C11—23no—
258C2×C4×C11—23no—
259C2×C4×C11—21no—
260C2×C4×C11—23no—
261C2×C4×C11—224no—
262C2×C4×C11—28no—
263C2×C4×C11—23no—
264C2×C4×C11—23no—
265C2×C4×C11—23no—
266C2×C4×C11—412no—
267C2×C4×C11C23×C416yes—
268C2×C4×C11C23×C416yes—
269C2×C4×C11C22×D416yes—
270C2×C4×C11C22×D416yes—
271C2×C4×C11C22×D412yes—
272C2×C4×C11C22×Q812yes—
273C2×C4×C11C22×Q812yes—
274C2×C4×C11C2×#4116yes—
275C2×C4×C112−1+412yes—
276C22⋊D11C4×Q8116yesdirect product factor
277C2×Dic11—21no—
278C2×Dic11—23no—
279C2×Dic11—21no—
280C2×Dic11—23no—
281C2×Dic11—23no—
282C2×Dic11—21no—
283C2×Dic11—21no—
284C2×Dic11—23no—
285C2×Dic11—23no—
286C2×Dic11—23no—
287C2×Dic11—23no—
288C2×Dic11—23no—
289C2×Dic11—23no—
290C2×Dic11—23no—
291C2×Dic11C23×C416yes—
292C2×Dic11C23×C416yes—
293C2×Dic11C23×C412yes—
294C2×Dic11C22×Q812yes—
295C2×Dic11C22×Q812yes—
296C2×Dic11C22×Q812yes—
297C2×Dic11C2×#4112yes—
298C4×D11—224no—
299C4×D11—28no—
300C4×D11—412no—
301Dic22—224no—
302C23×Q8—111no—
303C23×Q8C2×D1111yescharacteristic
304D4×Q8—1116no—
305C2×C4⋊Q8—113no—
306C2×C22⋊Q8—113no—
307C2×C22⋊Q8—113no—
308C2×C4×Q8—28no—
309C2×C4×Q8—111no—
310C2×C4×Q8—111no—
311C2×C4×Q8—111no—
312C2×C4×Q8—113no—
313C2×C4×Q8—113no—
314C2×C4×Q8—228no—
315C2×C4×Q8C2×D1113yes—
316C2×C4×Q8C2×D1111yescharacteristic
317C2×C4×Q8C2×D1113yes—
318C2×C4×Q8C2×D1111yescharacteristic
319C2×C4×D4—113no—
320C2×C4×D4—111no—
321C2×C4×D4—113no—
322C22×C4⋊C4—113no—
323C22×C4⋊C4C2×D1113yes—
324C22×C42—113no—
325C22×C42C2×D1113yes—
326#391—113no—
327#391—113no—
328#391—113no—
329#391—113no—
330#389—116no—
331#389—116no—
332#389—113no—
333#389—113no—
334#387—116no—
335#387—116no—
336#385—116no—
337#385—116no—
338#384—113no—
339#380—113no—
340#380—113no—
341C4×C4⋊C4—113no—
342C4×C4⋊C4—113no—
343C4×C4⋊C4—113no—
344C4×C4⋊C4—116no—
345C4×C4⋊C4—113no—
346C4×C4⋊C4—113no—
347C4×C4⋊C4—113no—
348C4×C22⋊C4—113no—
349C4×C22⋊C4—113no—
350C4×C22⋊C4—113no—
351C4×C22⋊C4—113no—
352C4×C22⋊C4—113no—
353C4×C22⋊C4—113no—
354C43—113no—
355C22×C11—22no—
356C22×C11—22no—
357C22×C11—22no—
358C22×C11—22no—
359C22×C11—22no—
360C22×C11—22no—
361C22×C11C2×C4×Q814yescomplemented
362C22×C11C24×C411yescharacteristic
363C22×C11C23×D411yescharacteristic
364C22×C11C23×Q811yescharacteristic
365C22×C11C22×#4111yescharacteristic
366C22×C11C22×#4111yescharacteristic
367C22×C11C2×2−1+411yescharacteristic
368C22×C11#58511yescharacteristic
369C2×D11—22no—
370C2×D11—22no—
371C2×D11—22no—
372C2×D11—22no—
373C2×D11—22no—
374C2×D11—22no—
375C2×D11C2×C4×Q814yescomplemented
376C4×C11—26no—
377C4×C11—22no—
378C4×C11—26no—
379C4×C11—43no—
380C4×C11C2×C4×D4112yes—
381C4×C11D4×Q814yescomplemented
382Dic11—26no—
383Dic11—26no—
384Dic11—22no—
385Dic11—22no—
386Dic11—43no—
387Dic11—43no—
388Dic11C2×C4×Q814yescomplemented
389C22×Q8—24no—
390C22×Q8—24no—
391C22×Q8—118no—
392C22×Q8—113no—
393C22×Q8—224no—
394C22×Q8—224no—
395C22×Q8C4×D1118yescomplemented
396C22×Q8C22×D1113yes—
397C22×Q8C22×D1111yescharacteristic
398C22×D4—111no—
399C23×C4—113no—
400C23×C4—111no—
401C23×C4—113no—
402C23×C4C22×D1113yes—
403C23×C4C22×D1113yes—
404C23×C4C22×D1111yescharacteristic
405C4⋊Q8—1124no—
406C22⋊Q8—1124no—
407C22⋊Q8—1124no—
408C4×Q8—24no—
409C4×Q8—212no—
410C4×Q8—212no—
411C4×Q8—118no—
412C4×Q8—224no—
413C4×Q8—224no—
414C4×Q8—2212no—
415C4×Q8—2212no—
416C4×Q8C22⋊D1118yesdirect product factor
417C4×D4—1124no—
418C4×D4—118no—
419C4×D4—2212no—
420C2×C4⋊C4—212no—
421C2×C4⋊C4—113no—
422C2×C4⋊C4—111no—
423C2×C4⋊C4—113no—
424C2×C4⋊C4—116no—
425C2×C4⋊C4—113no—
426C2×C4⋊C4—116no—
427C2×C4⋊C4—113no—
428C2×C4⋊C4—113no—
429C2×C4⋊C4—116no—
430C2×C4⋊C4—2212no—
431C2×C4⋊C4C22×D1113yes—
432C2×C4⋊C4C22×D1116yes—
433C2×C4⋊C4C22×D1113yes—
434C2×C22⋊C4—113no—
435C2×C22⋊C4—111no—
436C2×C22⋊C4—113no—
437C2×C22⋊C4—111no—
438C2×C22⋊C4—113no—
439C2×C22⋊C4—113no—
440C2×C42—212no—
441C2×C42—113no—
442C2×C42—111no—
443C2×C42—113no—
444C2×C42—113no—
445C2×C42—113no—
446C2×C42—113no—
447C2×C42—113no—
448C2×C42—113no—
449C2×C42—113no—
450C2×C42—2212no—
451C2×C42C22×D1113yes—
452C2×C42C22×D1113yes—
453C2×C42C22×D1113yes—
454C2×C42C22×D1113yes—
455#95—113no—
456#95—113no—
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×C11C22×C4×D411yescharacteristic
466C2×C11C22×C4×Q811yescharacteristic
467C2×C11C4×2−1+411yescharacteristic
468C2×C11C2×D4×Q811yescharacteristic
469C2×C11D4×#4111yescharacteristic
470C2×C11Q8×#4111yescharacteristic
471C2×C11#348211yescharacteristic
472D11—24no—
473C24—111no—
474C24C23×D1111yescharacteristic
475C2×Q8—232no—
476C2×Q8—26no—
477C2×Q8—26no—
478C2×Q8—1112no—
479C2×Q8—2232no—
480C2×Q8—226no—
481C2×Q8—226no—
482C2×Q8C2×C4×D11112yes—
483C2×Q8C2×C4×D1114yes—
484C2×Q8#433914yes—
485C2×Q8C2×C22⋊D1114yes—
486C2×D4—114no—
487C2×D4—114no—
488C2×D4—114no—
489C22×C4—26no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—26no—
493C22×C4—26no—
494C22×C4—26no—
495C22×C4—43no—
496C22×C4—111no—
497C22×C4—111no—
498C22×C4—111no—
499C22×C4—113no—
500C22×C4—113no—
501C22×C4—1112no—
502C22×C4—114no—
503C22×C4—113no—
504C22×C4—113no—
505C22×C4—226no—
506C22×C4—226no—
507C22×C4—222no—
508C22×C4—222no—
509C22×C4—226no—
510C22×C4—226no—
511C22×C4—443no—
512C22×C4C2×C4×D11112yes—
513C22×C4Q8×D1114yescomplemented
514C22×C4C23×D1113yes—
515C22×C4C23×D1113yes—
516C22×C4C23×D1111yescharacteristic
517C22×C4C23×D1113yes—
518C22×C4C23×D1113yes—
519C22×C4C23×D1111yescharacteristic
520C4⋊C4—212no—
521C4⋊C4—26no—
522C4⋊C4—1112no—
523C4⋊C4—1112no—
524C4⋊C4—1124no—
525C4⋊C4—114no—
526C4⋊C4—226no—
527C4⋊C4—226no—
528C4⋊C4—2212no—
529C4⋊C4—226no—
530C4⋊C4—446no—
531C4⋊C4C2×C22⋊D11112yes—
532C22⋊C4—1112no—
533C22⋊C4—114no—
534C22⋊C4—1112no—
535C22⋊C4—114no—
536C22⋊C4—226no—
537C22⋊C4—226no—
538C42—26no—
539C42—26no—
540C42—26no—
541C42—1112no—
542C42—114no—
543C42—226no—
544C42—226no—
545C42—226no—
546C42—226no—
547C42—226no—
548C42—226no—
549C42—443no—
550C42C2×C22⋊D11112yes—
551C11C4×D4×Q811yescharacteristic, complemented, Sylow
552C23—21no—
553C23—21no—
554C23—21no—
555C23—21no—
556C23—112no—
557C23—112no—
558C23—112no—
559C23—221no—
560C23—221no—
561C23—221no—
562C23—221no—
563C23C22×C4×D1112yes—
564C23C2×Q8×D1112yes—
565C23#41×D1112yes—
566C23C24×D1111yescharacteristic
567Q8—224no—
568Q8—2224no—
569Q8C4×C22⋊D11116yesdirect product factor
570D4—1116no—
571C2×C4—23no—
572C2×C4—21no—
573C2×C4—23no—
574C2×C4—23no—
575C2×C4—21no—
576C2×C4—23no—
577C2×C4—224no—
578C2×C4—28no—
579C2×C4—23no—
580C2×C4—23no—
581C2×C4—23no—
582C2×C4—412no—
583C2×C4—112no—
584C2×C4—112no—
585C2×C4—112no—
586C2×C4—116no—
587C2×C4—116no—
588C2×C4—112no—
589C2×C4—112no—
590C2×C4—221no—
591C2×C4—223no—
592C2×C4—223no—
593C2×C4—221no—
594C2×C4—221no—
595C2×C4—223no—
596C2×C4—221no—
597C2×C4—223no—
598C2×C4—2224no—
599C2×C4—228no—
600C2×C4—223no—
601C2×C4—223no—
602C2×C4—223no—
603C2×C4—223no—
604C2×C4—223no—
605C2×C4—223no—
606C2×C4—4412no—
607C2×C4C22×C4×D1116yes—
608C2×C4C22×C4×D1116yes—
609C2×C4C2×#433916yes—
610C2×C4C2×Q8×D1112yes—
611C2×C4C2×Q8×D1112yes—
612C2×C4#6704012yes—
613C2×C4C22×C22⋊D1116yes—
614C2×C4C22×C22⋊D1116yes—
615C2×C4C22×C22⋊D1112yes—
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—114no—
623C22—222no—
624C22—222no—
625C22—222no—
626C22—222no—
627C22—222no—
628C22—222no—
629C22C4×Q8×D1114yescomplemented
630C22C23×C4×D1111yescharacteristic
631C22C22×#433911yescharacteristic
632C22C22×Q8×D1111yescharacteristic
633C22C2×#6704011yescharacteristic
634C22C2×#41×D1111yescharacteristic
635C22#1062345311yescharacteristic
636C22C23×C22⋊D1111yescharacteristic
637C4—26no—
638C4—22no—
639C4—26no—
640C4—43no—
641C4—114no—
642C4—222no—
643C4—226no—
644C4—226no—
645C4—222no—
646C4—443no—
647C4—443no—
648C4C2×C4×C22⋊D11112yes—
649C4Q8×C22⋊D1114yesdirect product factor
650C2—24no—
651C2—224no—
652C2C22×C4×C22⋊D1111yescharacteristic
653C2C2×C4×Q8×D1111yescharacteristic
654C2C4×#6704011yescharacteristic
655C2C2×Q8×C22⋊D1111yescharacteristic
656C2#41×C22⋊D1111yescharacteristic
657C2Q8×#433911yescharacteristic
658C2#1308223311yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC22×C4×Q8×C11C2
socle, cosocleC23×C11C25
prime radicalC22×C22⋊D11C23
hypercenterC22×C4×Q8D11
hypocenterC11C4×D4×Q8
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C22×C4×Q8

Complements

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

NH ≅ G/Ntype
2. C2×C4×Q8×D11C2semidirect
3. #13071670C2semidirect
4. #13071621C2semidirect
5. #13071617C2semidirect
6. Q8×Dic11⋊C4C2semidirect
8. Q8×C22⋊Dic11C2semidirect
9. Q8×(C2×D11)⋊C4C2semidirect
10. C4×#66997C2semidirect
11. C4×#66977C2semidirect
12. C4×#66999C2semidirect
13. C4×Q8×Dic11C2semidirect
15. C22×C4×Q8×C11C2semidirect
25. Q8×C22⋊D11C4direct (N × H)
71. C22×Q8×C11C2×C4semidirect
80. C2×Q8×D11C2×C4semidirect
88. C4×Q8×C11D4semidirect
101. #66999C2×C4semidirect
104. Q8×Dic11C2×C4semidirect
105. #66997C2×C4semidirect
108. C4×C22⋊D11Q8direct (N × H)
115. #66977C2×C4semidirect
162. C22×C4×C11C2×Q8semidirect
188. C2×C4×D11C2×Q8semidirect
201. C22⋊Dic11C2×Q8semidirect
204. (C2×D11)⋊C4C2×Q8semidirect
213. Dic11⋊C4C2×Q8semidirect
222. C4×Dic11C2×Q8semidirect
225. C22×C4×Q8D11semidirect
254. Q8×C11C4×D4semidirect
276. C22⋊D11C4×Q8direct (N × H)
361. C22×C11C2×C4×Q8semidirect
375. C2×D11C2×C4×Q8semidirect
381. C4×C11D4×Q8semidirect
388. Dic11C2×C4×Q8semidirect
395. C22×Q8C4×D11semidirect
416. C4×Q8C22⋊D11direct (N × H)
513. C22×C4Q8×D11semidirect
551. C11C4×D4×Q8semidirect
569. Q8C4×C22⋊D11direct (N × H)
629. C22C4×Q8×D11semidirect
649. C4Q8×C22⋊D11direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×C22⋊D112
C2×C4×Q8×D112
#130716702
#130716212
#130716172
Q8×Dic11⋊C42
C4⋊C4×C22⋊D112
Q8×C22⋊Dic112
Q8×(C2×D11)⋊C42
C4×#669972
C4×#669772
C4×#669992
C4×Q8×Dic112
C42×C22⋊D112
C22×C4×Q8×C112
C4×D4×Q811