Finite Group Databasebeta

← #15633853

Subgroups — #15633853

Order 2816.

1862 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082470C211yesmaximal, characteristic, complemented
2#13082417C211yesmaximal, characteristic, complemented
3#13081445C214yesmaximal, complemented
4#13081410C214yesmaximal, complemented
5#13081371C214yesmaximal, complemented
6#13081325C214yesmaximal, complemented
7#13078972C212yesmaximal, complemented
8#13078962C211yesmaximal, characteristic, complemented
9#13078480C212yesmaximal, complemented
10#13078415C211yesmaximal, characteristic, complemented
11#13078120C212yesmaximal, complemented
12#13078082C211yesmaximal, characteristic, complemented
13#13077450C212yesmaximal, complemented
14C2×#10622324C211yesmaximal, characteristic, complemented
15C11×#2961C211yesmaximal, characteristic, complemented
16C11×#533C2211yescharacteristic
17C2×#66961C2212yes—
18C22×D88C2211yescharacteristic
19#10623265—21no—
20#10623261—21no—
21#10623258—21no—
22#10623257—21no—
23#10623226—22no—
24#10623221—22no—
25#10623175—22no—
26#10623165—22no—
27#10623158—22no—
28D11×C22⋊Q8—22no—
29#10623116C2214yescomplemented
30#10623115C2212yescomplemented
31#10623110C2212yescomplemented
32#10623110C2214yescomplemented
33#10623108C2212yescomplemented
34Q8×D44C2212yescomplemented
35#10623056C2212yes—
36#10623054C2212yes—
37#10623052C2212yes—
38#10623050C2212yes—
39#10623008C2211yescharacteristic
40C2×C4×D44C2211yescharacteristic
41C2×C4×D44C2211yescharacteristic
42#10623001C2211yescharacteristic
43C11×#446C2214yescomplemented
44C11×#446C2214yescomplemented
45C11×#424C2212yes—
46C11×#423C2211yescharacteristic
47C11×#405C2212yes—
48C2×C11×#97C2211yescharacteristic
49#10622746C2212yes—
50#10622744C2212yes—
51#10622734C2212yes—
52#10622726C2212yes—
53#10622726C2212yes—
54C2×#66885C2211yescharacteristic
55C2×#66885C2211yescharacteristic
56C2×#66881C2211yescharacteristic
57#10622464C2214yescomplemented
58#10622460C2214yescomplemented
59#10622460C2214yescomplemented
60#10622459C2212yescomplemented
61#10622457C2214yes—
62#10622457C2214yes—
63#10622457C2214yescomplemented
64#10622456C2214yes—
65#10622456C2214yes—
66#10622456C2212yescomplemented
67#10622455C2212yescomplemented
68#10622455C2214yescomplemented
69#10622454C2212yescomplemented
70#10622442C2214yescomplemented
71#10622327C2212yescomplemented
72#10622327C2212yescomplemented
73#10622327C2214yescomplemented
74#10622326C2214yescomplemented
75#10622326C2212yescomplemented
76#10622324C2214yes—
77#10622324C2214yes—
78#10622324C2214yescomplemented
79#10622323C2214yescomplemented
80#10622316C2212yescomplemented
81#10622310C2214yescomplemented
82#10622307C2214yescomplemented
83C4×D88C2214yescomplemented
84C4×#4314C2214yescomplemented
85C2×#4343—22no—
86C2×Q8×D11—22no—
87C2×#4339C2312yes—
88C22×D44C2311yescharacteristic
89C22×D44C2311yescharacteristic
90C22×C4×D11—21no—
91C22×C4×D11—21no—
92C2×C11×M16C2312yes—
93C22×C8×C11C2311yescharacteristic
94C22×C8×C11C2311yescharacteristic
95C11×C4⋊Q8D411yescharacteristic
96C11×C4⋊Q8D411yescharacteristic
97C11×#125D412yes—
98C11×C22⋊Q8D412yes—
99C11×C22⋊Q8D412yes—
100C4×Q8×C11C2312yes—
101C4×Q8×C11C2312yes—
102C11×#117C2312yes—
103C2×C42×C11C2311yescharacteristic
104#67000—24no—
105#66999—22no—
106#66999—22no—
107#66999—24no—
108#66983—21no—
109#66983—21no—
110C2×(C2×D11)⋊C4—21no—
111C2×(C2×D11)⋊C4—21no—
112#66979C2312yes—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2311yescharacteristic
115#66977—21no—
116#66977—21no—
117#66961—28no—
118C2×D88—24no—
119C2×D88C2314yes—
120C2×D88C2314yes—
121C2×#4314C2314yes—
122#66951—24no—
123#66950—22no—
124#66950—24no—
125#66949—24no—
126#66949—24no—
127#66949—24no—
128#66948—22no—
129#66948—22no—
130#66948—22no—
131#66948—24no—
132#66947—24no—
133#66947—24no—
134#66946—22no—
135#66946—22no—
136#66946—24no—
137#66945—22no—
138#66945—22no—
139C4⋊C4×D11—22no—
140C4⋊C4×D11—22no—
141C4⋊C4×D11—24no—
142#66943—22no—
143#66941—22no—
144#66935—24no—
145(C22⋊D11)⋊C4—24no—
146C22⋊C4×D11—24no—
147#66931—24no—
148#66928C2312yes—
149#66928C2314yes—
150#66927C2311yescharacteristic
151#66927C2314yes—
152C4×D44—21no—
153C4×D44—21no—
154C4×D44—21no—
155C4×D44—21no—
156C4×D44—21no—
157C4×D44—21no—
158C4×D44C2312yes—
159C4×D44C2312yes—
160C4×D44C2312yes—
161C4×D44C2312yes—
162C4×D44C2314yes—
163C4×D44C2314yes—
164C4×D44C2314yes—
165#66923C2312yes—
166#66923C2314yes—
167#66922C2311yescharacteristic
168#66922C2314yes—
169#66922C2311yescharacteristic
170#66922C2311yescharacteristic
171C4×Dic22—21no—
172C4×Dic22—21no—
173C4×Dic22C2314yes—
174C11×C4⋊C8C2314yes—
175C11×C4⋊C8C2312yes—
176C11×C4⋊C8C2312yes—
177C11×C4⋊C8C2314yes—
178C11×#97C2312yes—
179C11×#97C2314yes—
180C11×#97C2312yes—
181C4×C8×C11C2314yes—
182#66885C2314yes—
183#66885C2314yes—
184#66885C2312yes—
185#66885C2312yes—
186#66885C2312yes—
187#66885C2312yes—
188#66885C2314yes—
189#66885C2314yes—
190#66885C2314yes—
191#66882C2314yes—
192#66881C2314yes—
193#66881C2314yes—
194#66880C2312yes—
195#66880C2314yes—
196#66880C2312yes—
197#66880C2312yes—
198#66880C2312yes—
199#61332—111nomaximal, Sylow
200C23×D11—21no—
201C23×D11—21no—
202C2×Q8×C11C2×D412yes—
203C2×Q8×C11C2×D412yes—
204C22×C4×C11C2×D411yescharacteristic
205C22×C4×C11C2×D411yescharacteristic
206C22×C4×C11C2411yescharacteristic
207C2×C22⋊D11—22no—
208C22×Dic11—21no—
209C22×Dic11—21no—
210#4343—84no—
211Q8×D11—84no—
212#4339—24no—
213#4339—24no—
214C2×D44—21no—
215C2×D44—21no—
216C2×D44—21no—
217C2×D44—21no—
218C2×D44—24no—
219C2×D44—24no—
220C2×D44—22no—
221C2×D44—22no—
222C2×D44—22no—
223C2×D44#4114yescomplemented
224C2×D44C2412yes—
225C2×D44C2412yes—
226C2×D44C2412yes—
227C2×C4×D11—22no—
228C2×C4×D11—22no—
229C2×C4×D11—22no—
230C2×C4×D11—22no—
231C2×C4×D11—22no—
232C2×C4×D11—24no—
233C2×C4×D11—24no—
234C2×C4×D11—24no—
235C2×C4×D11—82no—
236C2×C4×D11—82no—
237C2×Dic22—21no—
238C2×Dic22—21no—
239C2×Dic22—24no—
240C2×Dic22C2412yes—
241C11×M16—24no—
242C2×C8×C11—22no—
243C2×C8×C11—22no—
244C2×C8×C11C2412yes—
245C2×C8×C11C2412yes—
246C2×C8×C11C2414yes—
247C11×C4⋊C4C2×D412yes—
248C11×C4⋊C4C2×D412yes—
249C11×C4⋊C4C2×D412yes—
250C11×C4⋊C4C2×D414yes—
251C11×C4⋊C4C2×D412yes—
252C11×C4⋊C4C2×D414yes—
253C11×C22⋊C4C2×D414yes—
254C42×C11C2×D411yescharacteristic
255C42×C11C2×D411yescharacteristic
256C42×C11C2414yes—
257C42×C11C2411yescharacteristic
258C42×C11C2411yescharacteristic
259C22⋊Dic11—22no—
260(C2×D11)⋊C4—22no—
261(C2×D11)⋊C4—22no—
262(C2×D11)⋊C4—22no—
263(C2×D11)⋊C4—22no—
264(C2×D11)⋊C4—22no—
265(C2×D11)⋊C4—22no—
266(C2×D11)⋊C4—24no—
267(C2×D11)⋊C4—24no—
268(C2×D11)⋊C4—24no—
269(C2×D11)⋊C4—24no—
270(C2×D11)⋊C4—24no—
271C4⋊Dic11—21no—
272C4⋊Dic11—21no—
273C4⋊Dic11—21no—
274C4⋊Dic11—21no—
275C4⋊Dic11—24no—
276C4⋊Dic11—21no—
277C4⋊Dic11—21no—
278C4⋊Dic11C2412yes—
279C4⋊Dic11C2412yes—
280C4⋊Dic11C2412yes—
281C4⋊Dic11C2412yes—
282Dic11⋊C4—22no—
283Dic11⋊C4—22no—
284Dic11⋊C4—24no—
285Dic11⋊C4—24no—
286Dic11⋊C4—24no—
287C4×Dic11—22no—
288C4×Dic11—24no—
289D88—28no—
290D88—28no—
291#4314—28no—
292#3506—111no—
293#3501—111no—
294#3376—114no—
295#3373—114no—
296#3370—114no—
297#3366—114no—
298#3136—112no—
299#3135—111no—
300#3084—112no—
301#3077—111no—
302#3041—112no—
303#3036—111no—
304#2961D1111yescharacteristic, complemented
305#2946—112no—
306C2×#442—111no—
307C23×C11C22×D411yescharacteristic
308C22×D11—22no—
309C22×D11—24no—
310C22×D11—22no—
311C22×D11—22no—
312C22×D11—42no—
313C22×D11—81no—
314C22×D11—81no—
315C22×D11—81no—
316C22×D11—81no—
317Q8×C11—42no—
318Q8×C11—42no—
319C2×C4×C11—41no—
320C2×C4×C11—41no—
321C2×C4×C11C22×D414yes—
322C2×C4×C11C22×D411yescharacteristic
323C2×C4×C11C22×D411yescharacteristic
324C2×C4×C11C22×D414yes—
325C2×C4×C11C22×D411yescharacteristic
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C22×D411yescharacteristic
328C2×C4×C11C2×#4112yes—
329C2×C4×C112−1+412yes—
330C2×C4×C11C2511yescharacteristic
331C22⋊D11—44no—
332C2×Dic11—22no—
333C2×Dic11—22no—
334C2×Dic11—22no—
335C2×Dic11—22no—
336C2×Dic11—22no—
337C2×Dic11—81no—
338C2×Dic11—81no—
339D44—24no—
340D44—22no—
341D44—22no—
342D44—22no—
343D44—22no—
344D44—22no—
345D44—42no—
346D44—42no—
347D44—81no—
348D44—84no—
349D44—84no—
350D44C2×#4114yes—
351C4×D11—44no—
352C4×D11—44no—
353C4×D11—44no—
354C4×D11—84no—
355C4×D11—82no—
356C4×D11—82no—
357C4×D11—84no—
358C4×D11—84no—
359Dic22—22no—
360Dic22—22no—
361Dic22—42no—
362Dic22—81no—
363Dic22—84no—
364C8×C11—24no—
365C8×C11—22no—
366C8×C11—22no—
367C2×AGL(1,ℤ/8)—112no—
368C22×D8—111no—
369#559—114no—
370#556—112no—
371#555—221no—
372#554—114no—
373#554—112no—
374#554—221no—
375#554—222no—
376#553—222no—
377#550—112no—
378D4×Q8—112no—
379D4×Q8—221no—
380#547—221no—
381#544—112no—
382#543—222no—
383#538—222no—
384#535—112no—
385#533—111no—
386#533C2×D1111yescharacteristic
387#532—111no—
388#525—222no—
389C2×C22⋊Q8—222no—
390#520—112no—
391#518—112no—
392C2×C4×D4—111no—
393C2×C4×D4—111no—
394#491—112no—
395#490—112no—
396#490—114no—
397#489—112no—
398#489—112no—
399#489—114no—
400#488—114no—
401#486—114no—
402#479—114no—
403#478—114no—
404#478—114no—
405#476—112no—
406#476—114no—
407#475—114no—
408#474—112no—
409#463—114no—
410#463—114no—
411#463—114no—
412#461—112no—
413#459—112no—
414#459—114no—
415#459—114no—
416#446C2×D1114yescomplemented
417#446C2×D1114yescomplemented
418#442—114no—
419#442—114no—
420#442—114no—
421#440—114no—
422C4×SD16—114no—
423C4×D8—114no—
424#428—112no—
425C2×#106—111no—
426#424C2×D1112yes—
427#423C2×D1111yescharacteristic
428#418—112no—
429#417—112no—
430#416—112no—
431#416—112no—
432C2×#102—111no—
433C2×#102—111no—
434#405C2×D1112yes—
435C2×#97C2×D1111yescharacteristic
436C22×C11—21no—
437C22×C11—21no—
438C22×C11#54812yes—
439C22×C11C23×D411yescharacteristic
440C2×D11—24no—
441C2×D11—42no—
442C2×D11—42no—
443C2×D11—42no—
444C2×D11—42no—
445C2×D11—42no—
446C2×D11—42no—
447C2×D11—42no—
448C2×D11—42no—
449C2×D11—84no—
450C2×D11—84no—
451C4×C11—21no—
452C4×C11—21no—
453C4×C11—21no—
454C4×C11—21no—
455C4×C11—24no—
456C4×C11—24no—
457C4×C11#54812yes—
458C4×C11C22×#4111yescharacteristic
459C4×C11C2×2−1+411yescharacteristic
460Dic11—42no—
461Dic11—42no—
462Dic11—42no—
463Dic11—42no—
464Dic11—42no—
465C2×#41—112no—
466C2×#41—222no—
467C22×Q8—222no—
468C22×D4—111no—
469C22×D4—111no—
470C23×C4—221no—
471C23×C4—221no—
472AGL(1,ℤ/8)—228no—
473C2×SD16—114no—
474C2×D8—114no—
475C2×D8—114no—
476C2×D8—224no—
477C2×M16C22×D1112yes—
478C22×C8C22×D1111yescharacteristic
479C22×C8C22×D1111yescharacteristic
480C4⋊Q8—111no—
481C4⋊Q8—111no—
482C4⋊Q8—114no—
483C4⋊Q8—111no—
484C4⋊Q8—222no—
485C4⋊Q8D4411yescharacteristic
486C4⋊Q8D4411yescharacteristic
487#127—111no—
488#127—114no—
489#126—224no—
490#125—112no—
491#125—114no—
492#125—222no—
493#125D4412yes—
494#124—112no—
495#124—114no—
496#124—224no—
497#123—224no—
498#123—224no—
499C22⋊Q8—222no—
500C22⋊Q8—222no—
501C22⋊Q8—224no—
502C22⋊Q8—221no—
503C22⋊Q8—221no—
504C22⋊Q8—222no—
505C22⋊Q8—224no—
506C22⋊Q8—224no—
507C22⋊Q8—224no—
508C22⋊Q8—224no—
509C22⋊Q8—224no—
510C22⋊Q8D4412yes—
511C22⋊Q8D4412yes—
512#121—221no—
513#121—221no—
514#121—222no—
515#121—222no—
516#121—222no—
517#121—224no—
518#120—224no—
519C4×Q8—114no—
520C4×Q8—221no—
521C4×Q8—221no—
522C4×Q8C22×D1112yes—
523C4×Q8C22×D1112yes—
524C4×D4—112no—
525C4×D4—112no—
526C4×D4—112no—
527C4×D4—112no—
528C4×D4—114no—
529C4×D4—114no—
530C4×D4—114no—
531C4×D4—222no—
532C4×D4—222no—
533C4×D4—224no—
534C4×D4—224no—
535C4×D4—221no—
536C4×D4—221no—
537C4×D4—221no—
538C4×D4—221no—
539C4×D4—221no—
540C4×D4—221no—
541#117—112no—
542#117—222no—
543#117—222no—
544#117C22×D1112yes—
545C2×C4⋊C4—111no—
546C2×C4⋊C4—111no—
547C2×C4⋊C4—222no—
548C2×C4⋊C4—224no—
549C2×C4⋊C4—222no—
550C2×C22⋊C4—221no—
551C2×C22⋊C4—221no—
552C2×C22⋊C4—224no—
553C2×C42C22×D1111yescharacteristic
554#107—114no—
555#106—114no—
556#106—114no—
557C4⋊C8C22×D1112yes—
558C4⋊C8C22×D1112yes—
559C4⋊C8C22×D1114yes—
560C4⋊C8C22×D1114yes—
561#103—112no—
562#103—112no—
563#103—112no—
564#103—112no—
565#103—114no—
566#102—114no—
567#102—114no—
568#102—112no—
569#102—112no—
570#102—112no—
571#102—112no—
572#102—114no—
573#102—114no—
574#102—114no—
575#97C22×D1112yes—
576#97C22×D1112yes—
577#97C22×D1114yes—
578C4×C8C22×D1114yes—
579C2×C11—22no—
580C2×C11C2×#54811yescharacteristic
581C2×C11#358511yescharacteristic
582C2×C11#358511yescharacteristic
583D11—44no—
584D11—82no—
585D11—82no—
586C24—221no—
587C24—221no—
588#41—224no—
589#41—224no—
590#41—884no—
591C2×Q8—112no—
592C2×Q8—221no—
593C2×Q8—221no—
594C2×Q8—224no—
595C2×Q8—884no—
596C2×Q8C2×D4412yes—
597C2×Q8C2×D4412yes—
598C2×D4—114no—
599C2×D4—112no—
600C2×D4—112no—
601C2×D4—112no—
602C2×D4—222no—
603C2×D4—221no—
604C2×D4—221no—
605C2×D4—221no—
606C2×D4—224no—
607C2×D4—221no—
608C2×D4—224no—
609C2×D4—222no—
610C2×D4—222no—
611C2×D4—222no—
612C22×C4—221no—
613C22×C4—221no—
614C22×C4—222no—
615C22×C4—222no—
616C22×C4—222no—
617C22×C4—224no—
618C22×C4—224no—
619C22×C4—222no—
620C22×C4—224no—
621C22×C4—222no—
622C22×C4—882no—
623C22×C4—882no—
624C22×C4C2×D4411yescharacteristic
625C22×C4C2×D4411yescharacteristic
626C22×C4C23×D1111yescharacteristic
627SD16—228no—
628D8—228no—
629D8—228no—
630M16—24no—
631C2×C8—22no—
632C2×C8—22no—
633C2×C8C23×D1112yes—
634C2×C8C23×D1114yes—
635C2×C8C23×D1112yes—
636C4⋊C4—112no—
637C4⋊C4—112no—
638C4⋊C4—112no—
639C4⋊C4—112no—
640C4⋊C4—221no—
641C4⋊C4—221no—
642C4⋊C4—222no—
643C4⋊C4—221no—
644C4⋊C4—224no—
645C4⋊C4—224no—
646C4⋊C4—224no—
647C4⋊C4—224no—
648C4⋊C4—221no—
649C4⋊C4—221no—
650C4⋊C4—222no—
651C4⋊C4—221no—
652C4⋊C4C2×D4412yes—
653C4⋊C4C2×D4414yes—
654C4⋊C4C2×D4412yes—
655C4⋊C4C2×D4412yes—
656C4⋊C4C2×D4412yes—
657C4⋊C4C2×D4414yes—
658C22⋊C4—222no—
659C22⋊C4—222no—
660C22⋊C4—224no—
661C22⋊C4—224no—
662C22⋊C4—222no—
663C22⋊C4—222no—
664C22⋊C4—222no—
665C22⋊C4—224no—
666C22⋊C4—224no—
667C22⋊C4—222no—
668C22⋊C4—224no—
669C22⋊C4—222no—
670C22⋊C4C2×D4414yes—
671C42—222no—
672C42—224no—
673C42C2×D4411yescharacteristic
674C42C2×D4411yescharacteristic
675C42C23×D1114yes—
676C42C23×D1111yescharacteristic
677C42C23×D1111yescharacteristic
678C11#6133211yescharacteristic, complemented, Sylow
679C23—222no—
680C23—224no—
681C23—222no—
682C23—222no—
683C23—442no—
684C23—881no—
685C23—881no—
686C23—881no—
687C23—881no—
688C23C22×D4411yescharacteristic
689Q8—42no—
690Q8—42no—
691Q8—222no—
692Q8—222no—
693Q8—442no—
694Q8—884no—
695Q8—881no—
696D4—114no—
697D4—224no—
698D4—222no—
699D4—222no—
700D4—222no—
701D4—222no—
702D4—222no—
703D4—442no—
704D4—444no—
705D4—442no—
706D4—884no—
707D4—881no—
708D4—884no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—222no—
712C2×C4—222no—
713C2×C4—222no—
714C2×C4—222no—
715C2×C4—222no—
716C2×C4—444no—
717C2×C4—444no—
718C2×C4—444no—
719C2×C4—882no—
720C2×C4—882no—
721C2×C4—884no—
722C2×C4—884no—
723C2×C4—884no—
724C2×C4—881no—
725C2×C4—881no—
726C2×C4C22×D4414yes—
727C2×C4C22×D4411yescharacteristic
728C2×C4C22×D4411yescharacteristic
729C2×C4C22×D4411yescharacteristic
730C2×C4C22×D4411yescharacteristic
731C2×C4C22×D4414yes—
732C2×C4C22×D4411yescharacteristic
733C2×C4#6704012yes—
734C2×C4#41×D1112yes—
735C2×C4C24×D1111yescharacteristic
736C8—22no—
737C8—22no—
738C8—24no—
739C22—21no—
740C22—21no—
741C22—224no—
742C22—442no—
743C22—442no—
744C22—442no—
745C22—442no—
746C22—442no—
747C22—442no—
748C22—442no—
749C22—442no—
750C22—884no—
751C22—884no—
752C22#1062310712yes—
753C22C23×D4411yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—24no—
759C4—24no—
760C4—442no—
761C4—442no—
762C4—442no—
763C4—442no—
764C4—442no—
765C4#1062310712yes—
766C4C2×#6704011yescharacteristic
767C4C2×#41×D1111yescharacteristic
768C2—22no—
769C2—444no—
770C2—882no—
771C2—882no—
772C2C2×#1062310711yescharacteristic
773C2#1308339711yescharacteristic
774C2#1308339711yescharacteristic
subgroupG/H
centerC22C23×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#2961C2
socleC22×C11C23×D4
hypercenter#2961D11
hypocenterC11#61332
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #2961

Complements

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

NH ≅ G/Ntype
1. #13082470C2semidirect
2. #13082417C2semidirect
3. #13081445C2semidirect
4. #13081410C2semidirect
5. #13081371C2semidirect
6. #13081325C2semidirect
7. #13078972C2semidirect
8. #13078962C2semidirect
9. #13078480C2semidirect
10. #13078415C2semidirect
11. #13078120C2semidirect
12. #13078082C2semidirect
13. #13077450C2semidirect
14. C2×#10622324C2semidirect
15. C11×#2961C2semidirect
29. #10623116C22semidirect
30. #10623115C22semidirect
31. #10623110C22semidirect
32. #10623110C22semidirect
33. #10623108C22semidirect
34. Q8×D44C22semidirect
43. C11×#446C22semidirect
44. C11×#446C22semidirect
57. #10622464C22semidirect
58. #10622460C22semidirect
59. #10622460C22semidirect
60. #10622459C22semidirect
63. #10622457C22semidirect
66. #10622456C22semidirect
67. #10622455C22semidirect
68. #10622455C22semidirect
69. #10622454C22semidirect
70. #10622442C22semidirect
71. #10622327C22semidirect
72. #10622327C22semidirect
73. #10622327C22semidirect
74. #10622326C22semidirect
75. #10622326C22semidirect
78. #10622324C22semidirect
79. #10622323C22semidirect
80. #10622316C22semidirect
81. #10622310C22semidirect
82. #10622307C22semidirect
83. C4×D88C22semidirect
84. C4×#4314C22semidirect
223. C2×D44#41semidirect
304. #2961D11semidirect
416. #446C2×D11semidirect
417. #446C2×D11semidirect
678. C11#61332semidirect

Maximal subgroups

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

subgroupindex
#130824702
#130824172
#130814452
#130814102
#130813712
#130813252
#130789722
#130789622
#130784802
#130784152
#130781202
#130780822
#130774502
C2×#106223242
C11×#29612
#6133211