Finite Group Databasebeta

← #14760501

Subgroups — #14760501

Order 2816.

1086 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10622787C211yesmaximal, characteristic
2C2×#10622777C211yesmaximal, characteristic, complemented
3C2×C4×#4313C211yesmaximal, characteristic, complemented
4#13071154C211yesmaximal, characteristic, complemented
5#13071132C211yesmaximal, characteristic
6#13069349C211yesmaximal, characteristic, complemented
7#13069302C211yesmaximal, characteristic, complemented
8#13069295C211yesmaximal, characteristic, complemented
9#13069051C211yesmaximal, characteristic
10#13069046C211yesmaximal, characteristic, complemented
11#13068646C211yesmaximal, characteristic, complemented
12#13068516C211yesmaximal, characteristic, complemented
13#13068448C211yesmaximal, characteristic, complemented
14#13068443C211yesmaximal, characteristic, complemented
15C11×#1968C211yesmaximal, characteristic, complemented
16C22×C11×SD16C2211yescharacteristic
17C2×#66999C2211yescharacteristic
18C2×Q8×Dic11C2211yescharacteristic
19C2×#66991C2211yescharacteristic
20C2×D4×Dic11C2211yescharacteristic
21C22×#4313C2211yescharacteristic
22C22×#4313C2211yescharacteristic
23C2×(C22⋊D11)⋊C4—21no—
24C2×C42×D11C2211yescharacteristic
25C2×C11×#106C2211yescharacteristic
26C2×C11×#103C2211yescharacteristic
27C2×C11×#102C2211yescharacteristic
28C2×C4×C8×C11C2211yescharacteristic
29C11×#391C2211yescharacteristic
30C11×#390C2211yescharacteristic
31C2×#66899C2211yescharacteristic
32C2×#66899C2211yescharacteristic
33C2×#66896C2211yescharacteristic
34C2×#66896C2211yescharacteristic
35#10622787C418yescomplemented
36#10622777—24no—
37C2×#66882C2211yescharacteristic
38C2×#66882C2211yescharacteristic
39C2×#66879C2211yescharacteristic
40C2×#66879C2211yescharacteristic
41#10622600C2211yescharacteristic
42#10622600C2211yescharacteristic
43C4⋊C4×Dic11C2211yescharacteristic
44C4⋊C4×Dic11C2211yescharacteristic
45#10622569—21no—
46#10622558—21no—
47C22⋊C4×Dic11—21no—
48#10622541C2211yescharacteristic
49#10622541C2211yescharacteristic
50C2×C4×C11⋊C8C2211yescharacteristic
51C4×#4313—24no—
52#10622281—21no—
53#10622279—21no—
54#10622268—21no—
55#10622262—21no—
56#10622189C2211yescharacteristic
57#10622189C2211yescharacteristic
58#10622167C2211yescharacteristic
59#10622167C2211yescharacteristic
60#10622167C2211yescharacteristic
61#10622167C2211yescharacteristic
62C22×Q8×C11C2311yescharacteristic
63C22×D4×C11C2311yescharacteristic
64C22×C22⋊D11—21no—
65C23×Dic11—21no—
66C22×C4×D11D411yescharacteristic
67C22×C4×D11D411yescharacteristic
68C22×C4×D11C2311yescharacteristic
69C2×C11×SD16—22no—
70C2×C11×SD16—22no—
71C2×C11×SD16C2×C414yescomplemented
72C22×C8×C11C2311yescharacteristic
73C22×C8×C11C2311yescharacteristic
74C2×C11×C4⋊C4C2311yescharacteristic
75C2×C11×C4⋊C4C2311yescharacteristic
76C2×C11×C22⋊C4—21no—
77C2×C11×C22⋊C4—21no—
78C2×C42×C11C2311yescharacteristic
79C2×C22⋊Dic11—21no—
80C2×C22⋊Dic11—21no—
81#66999—22no—
82#66999C2×C414yescomplemented
83Q8×Dic11—22no—
84Q8×Dic11—22no—
85#66991—22no—
86#66991C2×C414yes—
87D4×Dic11—22no—
88D4×Dic11—22no—
89C2×(C2×D11)⋊C4—21no—
90C2×(C2×D11)⋊C4—21no—
91C2×(C2×D11)⋊C4—21no—
92C2×C4⋊Dic11—21no—
93C2×C4⋊Dic11C2311yescharacteristic
94C2×C4⋊Dic11C2311yescharacteristic
95C2×C4⋊Dic11C2311yescharacteristic
96C2×C4⋊Dic11C2311yescharacteristic
97C2×Dic11⋊C4—21no—
98C2×Dic11⋊C4—21no—
99C2×Dic11⋊C4—21no—
100C2×C4×Dic11—21no—
101C2×C4×Dic11—21no—
102C2×C4×Dic11—21no—
103C2×C4×Dic11D411yescharacteristic
104C2×C4×Dic11D411yescharacteristic
105C2×C4×Dic11C2311yescharacteristic
106C22×C11⋊C8C2311yescharacteristic
107C22×C11⋊C8C2311yescharacteristic
108C2×#4313—22no—
109C2×#4313—22no—
110C2×#4313—22no—
111C2×#4313—22no—
112C2×#4313—22no—
113C2×#4313C2×C414yescomplemented
114(C22⋊D11)⋊C4—44no—
115C42×D11—22no—
116C42×D11—22no—
117C11×#106—22no—
118C11×#103—22no—
119C11×#102—22no—
120C4×C8×C11—22no—
121C11×#95—21no—
122C11×#95—21no—
123#66899—22no—
124#66899C2×C414yescomplemented
125#66896—22no—
126#66896C2×C414yescomplemented
127C11⋊#95—21no—
128C11⋊#95—21no—
129C11⋊#95—21no—
130C11⋊#95—21no—
131C11⋊#95—21no—
132C11⋊#95—21no—
133#66882—22no—
134#66882C2×C414yescomplemented
135#66879—22no—
136#66879D414yescomplemented
137C4×C11⋊C8—22no—
138#21540—111nomaximal, Sylow
139C24×C11—21no—
140C23×D11C2×D411yescharacteristic
141C2×Q8×C11—21no—
142C2×Q8×C11—21no—
143C2×Q8×C11—21no—
144C2×Q8×C11—21no—
145C2×Q8×C11—21no—
146C2×Q8×C11C22×C412yes—
147C2×D4×C11—21no—
148C2×D4×C11—21no—
149C2×D4×C11—21no—
150C2×D4×C11—21no—
151C2×D4×C11—21no—
152C2×D4×C11C22×C412yes—
153C22×C4×C11—21no—
154C22×C4×C11—21no—
155C22×C4×C11—21no—
156C22×C4×C11C2×D411yescharacteristic
157C22×C4×C11C2×D411yescharacteristic
158C22×C4×C11C2411yescharacteristic
159C2×C22⋊D11—24no—
160C2×C22⋊D11—42no—
161C2×C22⋊D11—42no—
162C22×Dic11—21no—
163C22×Dic11—21no—
164C22×Dic11—21no—
165C22×Dic11—21no—
166C22×Dic11—42no—
167C22×Dic11—42no—
168C22×Dic11—42no—
169C22×Dic11C2×D411yescharacteristic
170C22×Dic11C2×D411yescharacteristic
171C22×Dic11C2×D411yescharacteristic
172C2×C4×D11—22no—
173C2×C4×D11—22no—
174C2×C4×D11—22no—
175C2×C4×D11—22no—
176C2×C4×D11—21no—
177C2×C4×D11—21no—
178C2×C4×D11—21no—
179C2×C4×D11—21no—
180C2×C4×D11—41no—
181C2×C4×D11—41no—
182C2×C4×D11C22×C412yes—
183C2×C4×D11#4112yes—
184C11×SD16—28no—
185C2×C8×C11—21no—
186C2×C8×C11—21no—
187C2×C8×C11C22×C412yes—
188C2×C8×C11C2×D412yes—
189C2×C8×C11#4112yes—
190C2×C8×C11#4112yes—
191C11×C4⋊C4—21no—
192C11×C4⋊C4—21no—
193C11×C4⋊C4—21no—
194C11×C4⋊C4—21no—
195C11×C22⋊C4—42no—
196C11×C22⋊C4—42no—
197C42×C11—21no—
198C42×C11—21no—
199C22⋊Dic11—24no—
200C22⋊Dic11—42no—
201(C2×D11)⋊C4—24no—
202(C2×D11)⋊C4—42no—
203(C2×D11)⋊C4—42no—
204C4⋊Dic11—21no—
205C4⋊Dic11—21no—
206C4⋊Dic11—21no—
207C4⋊Dic11—21no—
208C4⋊Dic11—21no—
209C4⋊Dic11—21no—
210C4⋊Dic11—42no—
211C4⋊Dic11C22×C412yes—
212C4⋊Dic11C22×C412yes—
213Dic11⋊C4—24no—
214Dic11⋊C4—42no—
215Dic11⋊C4—42no—
216C4×Dic11—22no—
217C4×Dic11—22no—
218C4×Dic11—42no—
219C4×Dic11—42no—
220C4×Dic11—42no—
221C4×Dic11C2×D412yes—
222C4×Dic11#4112yes—
223C2×C11⋊C8—21no—
224C2×C11⋊C8—21no—
225C2×C11⋊C8—21no—
226C2×C11⋊C8—21no—
227C2×C11⋊C8C22×C412yes—
228C2×C11⋊C8C2×D412yes—
229#4313—28no—
230#4313—28no—
231C2×#468—111no—
232C2×#440—111no—
233C2×C4×M16—111no—
234C4×C22⋊Q8—111no—
235C4×#121—111no—
236#1968D1111yescharacteristic, complemented
237#1942—111no—
238#1934—111no—
239#1933—111no—
240#1895—111no—
241#1894—111no—
242#1809—111no—
243#1776—111no—
244#1763—111no—
245#1762—111no—
246C23×C11—22no—
247C23×C11—41no—
248C23×C11—41no—
249C23×C11—41no—
250C23×C11—41no—
251C23×C11—41no—
252C23×C11—41no—
253C23×C11C22×D411yescharacteristic
254C22×D11—21no—
255C22×D11—21no—
256C22×D11—21no—
257C22×D11—21no—
258C22×D11—21no—
259C22×D11—21no—
260C22×D11C4×D412yes—
261Q8×C11—22no—
262Q8×C11—22no—
263Q8×C11—41no—
264Q8×C11—41no—
265D4×C11—22no—
266D4×C11—22no—
267D4×C11—41no—
268D4×C11—41no—
269C2×C4×C11—21no—
270C2×C4×C11—21no—
271C2×C4×C11—21no—
272C2×C4×C11—21no—
273C2×C4×C11—22no—
274C2×C4×C11—41no—
275C2×C4×C11—41no—
276C2×C4×C11—41no—
277C2×C4×C11—41no—
278C2×C4×C11—41no—
279C2×C4×C11—41no—
280C2×C4×C11—41no—
281C2×C4×C11—41no—
282C2×C4×C11AGL(1,ℤ/8)12yes—
283C2×C4×C11#13712yes—
284C2×C4×C11C23×C411yescharacteristic
285C2×C4×C11C22×D411yescharacteristic
286C2×C4×C11C2×#4111yescharacteristic
287C2×C4×C11C2×#4111yescharacteristic
288C2×C4×C11C2×#4111yescharacteristic
289C2×C4×C11C2×#4111yescharacteristic
290C22⋊D11—48no—
291C2×Dic11—21no—
292C2×Dic11—21no—
293C2×Dic11—21no—
294C2×Dic11—21no—
295C2×Dic11—21no—
296C2×Dic11—21no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—41no—
300C2×Dic11—41no—
301C2×Dic11—41no—
302C2×Dic11—41no—
303C2×Dic11—41no—
304C2×Dic11—41no—
305C2×Dic11—41no—
306C2×Dic11—41no—
307C2×Dic11—41no—
308C2×Dic11—41no—
309C2×Dic11—84no—
310C2×Dic11C4×D412yes—
311C2×Dic11#12112yes—
312C2×Dic11#12112yes—
313C4×D11—22no—
314C4×D11—22no—
315C4×D11—22no—
316C4×D11—22no—
317C4×D11—44no—
318C4×D11—44no—
319C8×C11—22no—
320C8×C11C4×D414yescomplemented
321C11⋊C8—22no—
322C11⋊C8—22no—
323C22×SD16C2×D1111yescharacteristic
324C22×M16—111no—
325C22×M16—111no—
326C2×C22⋊Q8—111no—
327C2×#121—111no—
328C2×C4×Q8—111no—
329C2×C4×D4—111no—
330C2×C4×D4—221no—
331C22×C42—111no—
332#468—118no—
333#440—224no—
334C2×#107—111no—
335C2×#107—111no—
336C2×#106C2×D1111yescharacteristic
337C2×#103—111no—
338C2×#103—111no—
339C2×#103C2×D1111yescharacteristic
340C2×#102—111no—
341C2×#102—111no—
342C2×#102C2×D1111yescharacteristic
343C4×M16—224no—
344C2×#97—111no—
345C2×#97—111no—
346C2×C4×C8—111no—
347C2×C4×C8C2×D1111yescharacteristic
348#391C2×D1111yescharacteristic
349#390C2×D1111yescharacteristic
350#389—111no—
351#389—111no—
352#388—221no—
353#387—221no—
354#386—221no—
355#385—221no—
356#380—111no—
357#380—111no—
358C4×C4⋊C4—111no—
359C4×C4⋊C4—111no—
360C4×C4⋊C4—221no—
361C4×C22⋊C4—221no—
362C4×C22⋊C4—221no—
363#340—111no—
364#340—111no—
365#340—111no—
366#340—111no—
367#340—111no—
368#340—111no—
369C22×C11—42no—
370C22×C11—42no—
371C22×C11—42no—
372C22×C11—81no—
373C22×C11—81no—
374C22×C11—81no—
375C22×C11—81no—
376C22×C11C2×C4×D411yescharacteristic
377C22×C11C2×#12111yescharacteristic
378C22×C11#53211yescharacteristic
379C22×C11C2×AGL(1,ℤ/8)11yescharacteristic
380C22×C11C2×#13711yescharacteristic
381C22×C11#57511yescharacteristic
382C22×C11#57511yescharacteristic
383C2×D11—22no—
384C2×D11—22no—
385C2×D11—22no—
386C2×D11—41no—
387C2×D11—41no—
388C2×D11—41no—
389C2×D11—41no—
390C4×C11—22no—
391C4×C11—22no—
392C4×C11—42no—
393C4×C11—81no—
394C4×C11—81no—
395C4×C11C2×C4×D411yescharacteristic
396C4×C11C4×#4111yescharacteristic
397C4×C11#52511yescharacteristic
398C4×C11#52911yescharacteristic
399Dic11—22no—
400Dic11—22no—
401Dic11—22no—
402Dic11—42no—
403Dic11—42no—
404Dic11—81no—
405Dic11—81no—
406C22×Q8C22×D1111yescharacteristic
407C22×D4—221no—
408C22×D4C22×D1111yescharacteristic
409C23×C4—111no—
410C23×C4—111no—
411C23×C4—111no—
412C23×C4—221no—
413C2×SD16—22no—
414C2×SD16—22no—
415C2×SD16C4×D1114yescomplemented
416C2×M16—114no—
417C2×M16—222no—
418C2×M16—222no—
419C2×M16—222no—
420C2×M16—222no—
421C2×M16—222no—
422C22×C8—111no—
423C22×C8—111no—
424C22×C8C22×D1111yescharacteristic
425C22×C8C22×D1111yescharacteristic
426C22⋊Q8—114no—
427C22⋊Q8—222no—
428#121—114no—
429#121—222no—
430C4×Q8—222no—
431C4×Q8—222no—
432C4×D4—222no—
433C4×D4—222no—
434C4×D4—444no—
435C2×C4⋊C4—111no—
436C2×C4⋊C4—111no—
437C2×C4⋊C4—111no—
438C2×C4⋊C4—111no—
439C2×C4⋊C4—221no—
440C2×C4⋊C4—221no—
441C2×C4⋊C4—221no—
442C2×C4⋊C4—221no—
443C2×C4⋊C4C22×D1111yescharacteristic
444C2×C4⋊C4C22×D1111yescharacteristic
445C2×C22⋊C4—21no—
446C2×C22⋊C4—21no—
447C2×C22⋊C4—221no—
448C2×C22⋊C4—221no—
449C2×C22⋊C4—221no—
450C2×C22⋊C4—221no—
451C2×C22⋊C4—221no—
452C2×C42—111no—
453C2×C42—111no—
454C2×C42—111no—
455C2×C42—222no—
456C2×C42—222no—
457C2×C42—221no—
458C2×C42—221no—
459C2×C42—221no—
460C2×C42C22×D1111yescharacteristic
461#107—114no—
462#107—222no—
463#106—22no—
464#103—22no—
465#103—114no—
466#103—222no—
467#102—22no—
468#102—114no—
469#102—222no—
470#97—114no—
471#97—222no—
472C4×C8—22no—
473C4×C8—222no—
474#95—21no—
475#95—21no—
476#95—221no—
477#95—221no—
478#95—221no—
479#95—221no—
480#95—221no—
481#95—221no—
482C2×C11—82no—
483C2×C11C4×#12111yescharacteristic
484C2×C11C4×AGL(1,ℤ/8)11yescharacteristic
485C2×C11C4×#13711yescharacteristic
486C2×C11#305511yescharacteristic
487C2×C11#305611yescharacteristic
488C2×C11#318211yescharacteristic
489C2×C11#318311yescharacteristic
490D11—42no—
491C24—21no—
492C24—111no—
493C2×Q8—21no—
494C2×Q8—21no—
495C2×Q8—21no—
496C2×Q8—21no—
497C2×Q8—21no—
498C2×Q8C2×C4×D1112yes—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4—21no—
504C2×D4—224no—
505C2×D4—442no—
506C2×D4—442no—
507C2×D4C2×C4×D1112yes—
508C22×C4—21no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—111no—
512C22×C4—111no—
513C22×C4—111no—
514C22×C4—112no—
515C22×C4—112no—
516C22×C4—222no—
517C22×C4—222no—
518C22×C4—221no—
519C22×C4—221no—
520C22×C4—221no—
521C22×C4—221no—
522C22×C4—221no—
523C22×C4—221no—
524C22×C4—222no—
525C22×C4—222no—
526C22×C4—221no—
527C22×C4—221no—
528C22×C4—441no—
529C22×C4—441no—
530C22×C4—442no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4D4×D1111yescharacteristic
534C22×C4D4×D1111yescharacteristic
535C22×C4C23×D1111yescharacteristic
536SD16—28no—
537M16—228no—
538M16—228no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—112no—
542C2×C8—112no—
543C2×C8—221no—
544C2×C8—221no—
545C2×C8—221no—
546C2×C8—221no—
547C2×C8C2×C4×D1112yes—
548C2×C8D4×D1112yes—
549C2×C8#434112yes—
550C2×C8#434112yes—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—112no—
556C4⋊C4—112no—
557C4⋊C4—224no—
558C4⋊C4—221no—
559C4⋊C4—221no—
560C4⋊C4—221no—
561C4⋊C4—221no—
562C4⋊C4—221no—
563C4⋊C4—221no—
564C4⋊C4—442no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C22⋊C4—42no—
568C22⋊C4—42no—
569C22⋊C4—224no—
570C22⋊C4—224no—
571C22⋊C4—442no—
572C22⋊C4—442no—
573C22⋊C4—442no—
574C42—21no—
575C42—21no—
576C42—112no—
577C42—112no—
578C42—222no—
579C42—222no—
580C42—442no—
581C42—442no—
582C42—442no—
583C11#2154011yescharacteristic, complemented, Sylow
584C23—22no—
585C23—41no—
586C23—41no—
587C23—41no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—112no—
592C23—221no—
593C23—221no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23C2×D4×D1111yescharacteristic
599Q8—22no—
600Q8—22no—
601Q8—41no—
602Q8—41no—
603D4—22no—
604D4—22no—
605D4—41no—
606D4—41no—
607D4—448no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—22no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—112no—
622C2×C4—112no—
623C2×C4—112no—
624C2×C4—221no—
625C2×C4—221no—
626C2×C4—221no—
627C2×C4—221no—
628C2×C4—221no—
629C2×C4—221no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—222no—
634C2×C4—222no—
635C2×C4—222no—
636C2×C4—444no—
637C2×C4—444no—
638C2×C4—441no—
639C2×C4—441no—
640C2×C4—441no—
641C2×C4—441no—
642C2×C4—441no—
643C2×C4—441no—
644C2×C4—441no—
645C2×C4—441no—
646C2×C4—441no—
647C2×C4—441no—
648C2×C4—884no—
649C2×C4#6696712yes—
650C2×C4#6696812yes—
651C2×C4C22×C4×D1111yescharacteristic
652C2×C4C2×D4×D1111yescharacteristic
653C2×C4C2×#434111yescharacteristic
654C2×C4C2×#434111yescharacteristic
655C2×C4#41×D1111yescharacteristic
656C2×C4#41×D1111yescharacteristic
657C8—22no—
658C8—222no—
659C8—222no—
660C8(C22⋊D11)⋊C414yescomplemented
661C22—42no—
662C22—42no—
663C22—42no—
664C22—81no—
665C22—81no—
666C22—81no—
667C22—81no—
668C22—222no—
669C22—222no—
670C22—222no—
671C22—441no—
672C22—441no—
673C22—441no—
674C22—441no—
675C22C4×D4×D1111yescharacteristic
676C22D11×#12111yescharacteristic
677C22#1062324711yescharacteristic
678C22C2×#6696711yescharacteristic
679C22C2×#6696811yescharacteristic
680C22#1062329911yescharacteristic
681C22#1062329911yescharacteristic
682C4—22no—
683C4—22no—
684C4—42no—
685C4—81no—
686C4—81no—
687C4—222no—
688C4—222no—
689C4—222no—
690C4—442no—
691C4—442no—
692C4—881no—
693C4—881no—
694C4C2×(C22⋊D11)⋊C411yescharacteristic
695C4C4×#434111yescharacteristic
696C4#1062313711yescharacteristic
697C4#1062321111yescharacteristic
698C2—82no—
699C2—442no—
700C2#1307113211yescharacteristic
701C2C4×#6696711yescharacteristic
702C2C4×#6696811yescharacteristic
703C2#1307822811yescharacteristic
704C2#1307823911yescharacteristic
705C2#1307933211yescharacteristic
706C2#1307934211yescharacteristic
subgroupG/H
centerC23C2×D4×D11
commutatorC2×C4×C11C23×C4
FrattiniC22×C4C23×D11
FittingC11×#1968C2
socleC23×C11C22×D4
prime radicalC2×#66991C22
cosocleC22×C4×C11C24
hypercenter#1968D11
hypocenterC11#21540
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1968

Complements

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

NH ≅ G/Ntype
2. C2×#10622777C2semidirect
3. C2×C4×#4313C2semidirect
4. #13071154C2semidirect
6. #13069349C2semidirect
7. #13069302C2semidirect
8. #13069295C2semidirect
10. #13069046C2semidirect
11. #13068646C2semidirect
12. #13068516C2semidirect
13. #13068448C2semidirect
14. #13068443C2semidirect
15. C11×#1968C2semidirect
35. #10622787C4semidirect
71. C2×C11×SD16C2×C4semidirect
82. #66999C2×C4semidirect
113. C2×#4313C2×C4semidirect
124. #66899C2×C4semidirect
126. #66896C2×C4semidirect
134. #66882C2×C4semidirect
136. #66879D4semidirect
236. #1968D11semidirect
320. C8×C11C4×D4semidirect
415. C2×SD16C4×D11semidirect
583. C11#21540semidirect
660. C8(C22⋊D11)⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#106227872
C2×#106227772
C2×C4×#43132
#130711542
#130711322
#130693492
#130693022
#130692952
#130690512
#130690462
#130686462
#130685162
#130684482
#130684432
C11×#19682
#2154011