Finite Group Databasebeta

← #15633848

Subgroups — #15633848

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#13082468C211yesmaximal, characteristic, complemented
2#13082419C211yesmaximal, characteristic, complemented
3#13081444C214yesmaximal, complemented
4#13081409C214yesmaximal, complemented
5#13081374C214yesmaximal, complemented
6#13081324C214yesmaximal, complemented
7#13078968C212yesmaximal, complemented
8#13078962C211yesmaximal, characteristic, complemented
9#13078483C212yesmaximal, complemented
10#13078413C211yesmaximal, characteristic, complemented
11#13078116C212yesmaximal, complemented
12#13078080C211yesmaximal, characteristic, complemented
13#13077556C211yesmaximal, characteristic, complemented
14#13077442C212yesmaximal, complemented
15C2×C11×#442C211yesmaximal, characteristic, complemented
16C22×C11×D8C2211yescharacteristic
17C2×C4×D4×C11C2211yescharacteristic
18C2×C4×D4×C11C2211yescharacteristic
19#10623336C2212yes—
20#10623329C2212yes—
21C2×#66985C2212yes—
22#10623322—22no—
23C2×#66977—22no—
24#10623094—21no—
25#10623090C2214yescomplemented
26#10623089—22no—
27#10623084C2212yescomplemented
28#10623082—21no—
29#10623074—21no—
30#10623074C2212yescomplemented
31#10623073C2212yescomplemented
32#10623070—22no—
33#10623070C2214yescomplemented
34D4×Dic22—21no—
35D4×Dic22C2212yescomplemented
36#10623035C2212yes—
37#10623031C2212yes—
38#10623025—22no—
39#10623014—22no—
40#10623008C2211yescharacteristic
41#10623001C2211yescharacteristic
42#10623001C2211yescharacteristic
43C11×#442C2214yes—
44C11×#442C2214yes—
45C2×C11×#106C2211yescharacteristic
46C2×C11×#102C2211yescharacteristic
47C2×C11×#102C2211yescharacteristic
48C2×C11×#97C2211yescharacteristic
49#10622828C2212yes—
50#10622766C2214yes—
51#10622766C2214yes—
52#10622763C2214yes—
53#10622763C2214yes—
54#10622726C2212yes—
55#10622726C2212yes—
56#10622715C2212yes—
57#10622714C2212yes—
58#10622632C2212yescomplemented
59#10622629C2214yescomplemented
60#10622628C2212yescomplemented
61#10622622C2214yescomplemented
62#10622621C2212yescomplemented
63#10622620C2212yescomplemented
64#10622579C2212yes—
65#10622577C2212yes—
66#10622537C2211yescharacteristic
67#10622484C2214yescomplemented
68#10622483C2214yescomplemented
69#10622470C2214yescomplemented
70#10622467C2214yescomplemented
71#10622398C2214yescomplemented
72#10622381C2214yescomplemented
73#10622378C2214yescomplemented
74#10622377C2214yescomplemented
75#10622373C2214yescomplemented
76#10622371C2214yescomplemented
77#10622370C2214yescomplemented
78#10622369C2214yescomplemented
79#10622327C2212yescomplemented
80#10622327C2212yescomplemented
81#10622326C2212yescomplemented
82#10622316C2212yescomplemented
83#10622314C2214yescomplemented
84#10622314C2214yescomplemented
85C22×D4×C11C2311yescharacteristic
86C22×D4×C11C2311yescharacteristic
87C23×C4×C11—21no—
88C23×C4×C11—21no—
89C2×#4339—22no—
90C2×#4339C2312yes—
91C22×Dic22—22no—
92C2×C11×D8—24no—
93C2×C11×D8C2314yes—
94C22×C8×C11C2311yescharacteristic
95C22×C8×C11C2311yescharacteristic
96C4×D4×C11—21no—
97C4×D4×C11—21no—
98C4×D4×C11—21no—
99C4×D4×C11—21no—
100C4×D4×C11C2312yes—
101C4×D4×C11C2312yes—
102C4×D4×C11C2312yes—
103C4×D4×C11C2312yes—
104C2×C11×C4⋊C4C2311yescharacteristic
105C2×C11×C4⋊C4C2311yescharacteristic
106C2×C11×C22⋊C4—21no—
107C2×C11×C22⋊C4—21no—
108C2×C42×C11C2311yescharacteristic
109#67006—24no—
110C2×C22⋊Dic11—24no—
111#66993C2314yes—
112#66991—22no—
113#66991—22no—
114#66989C2314yes—
115D4×Dic11—22no—
116D4×Dic11—22no—
117D4×Dic11C2314yes—
118D4×Dic11C2314yes—
119C2×#4324C2314yes—
120#66985—28no—
121C2×#4323C2314yes—
122#66983—21no—
123#66983—21no—
124#66983—22no—
125#66982—24no—
126C4×C22⋊D11—24no—
127C4×C22⋊D11—24no—
128#66979—22no—
129#66979C2312yes—
130#66979C2312yes—
131C2×C4⋊Dic11—22no—
132#66977—21no—
133#66977—21no—
134#66977—22no—
135#66977—22no—
136#66977—24no—
137#66977—22no—
138#66977—24no—
139#66977D412yes—
140#66977D412yes—
141C2×Dic11⋊C4—24no—
142C2×#4318C2312yes—
143#66946C2314yes—
144#66945—22no—
145C4⋊C4×D11—22no—
146#66943—22no—
147#66943C2314yes—
148#66941—22no—
149#66941C2314yes—
150#66940C2314yes—
151#66938—24no—
152#66937—24no—
153#66936—24no—
154#66932—24no—
155#66931—24no—
156#66931—24no—
157#66931—24no—
158#66931—24no—
159#66928C2312yes—
160#66927C2311yescharacteristic
161C4×D44—21no—
162C4×D44—21no—
163#66923D412yes—
164#66923C2312yes—
165#66922D411yescharacteristic
166#66922D411yescharacteristic
167#66922C2311yescharacteristic
168#66922C2311yescharacteristic
169#66922C2311yescharacteristic
170C4×Dic22—21no—
171C4×Dic22—21no—
172C4×Dic22C2312yes—
173C4×Dic22C2312yes—
174C11×#106C2314yes—
175C11×#102C2314yes—
176C11×#102C2314yes—
177C11×#97C2312yes—
178C11×#97C2312yes—
179#66896C2314yes—
180#66896C2314yes—
181#66885C2312yes—
182#66885C2312yes—
183#66885C2312yes—
184#66885C2312yes—
185#66880C2312yes—
186#66880C2312yes—
187#66880C2312yes—
188#66880C2312yes—
189#66879C2314yes—
190Dic11⋊C8C2314yes—
191Dic11⋊C8C2314yes—
192C8×Dic11C2314yes—
193#66874C2314yes—
194#66873C2314yes—
195#66872C2314yes—
196#66871C2314yes—
197C4⋊(C11⋊C8)C2312yes—
198C4⋊(C11⋊C8)C2312yes—
199#61332—111nomaximal, Sylow
200C24×C11—21no—
201C24×C11—21no—
202C2×D4×C11—21no—
203C2×D4×C11—21no—
204C2×D4×C11—22no—
205C2×D4×C11—22no—
206C2×D4×C11—22no—
207C2×D4×C11#4114yescomplemented
208C2×D4×C11C2412yes—
209C2×D4×C11C2412yes—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11—22no—
213C22×C4×C11—22no—
214C22×C4×C11—22no—
215C22×C4×C11—22no—
216C22×C4×C11—82no—
217C22×C4×C11—82no—
218C22×C4×C11C2×D411yescharacteristic
219C22×C4×C11C2×D411yescharacteristic
220C22×C4×C11C2411yescharacteristic
221C2×C22⋊D11—24no—
222C2×C22⋊D11—24no—
223C2×C22⋊D11—22no—
224C22×Dic11—24no—
225C22×Dic11—24no—
226#4339—24no—
227#4339—24no—
228#4339—84no—
229C2×D44—21no—
230C2×D44—21no—
231C2×D44C2412yes—
232C2×C4×D11—24no—
233C2×C4×D11—22no—
234C2×Dic22—24no—
235C2×Dic22—21no—
236C2×Dic22—21no—
237C2×Dic22—84no—
238C2×Dic22C2×D412yes—
239C2×Dic22C2×D412yes—
240C2×Dic22C2412yes—
241C11×D8—28no—
242C2×C8×C11—22no—
243C2×C8×C11—22no—
244C2×C8×C11C2412yes—
245C2×C8×C11C2412yes—
246C11×C4⋊C4—21no—
247C11×C4⋊C4—21no—
248C11×C4⋊C4C2412yes—
249C11×C4⋊C4C2412yes—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—22no—
252C11×C22⋊C4—22no—
253C11×C22⋊C4—22no—
254C42×C11C2×D411yescharacteristic
255C42×C11C2×D411yescharacteristic
256C42×C11C2411yescharacteristic
257C42×C11C2411yescharacteristic
258C22⋊Dic11—24no—
259C22⋊Dic11—24no—
260C22⋊Dic11—24no—
261C22⋊Dic11—24no—
262C22⋊Dic11—22no—
263C22⋊Dic11C2×D414yes—
264#4324—28no—
265#4323—28no—
266(C2×D11)⋊C4—24no—
267(C2×D11)⋊C4—22no—
268(C2×D11)⋊C4—22no—
269C4⋊Dic11—24no—
270C4⋊Dic11—21no—
271C4⋊Dic11—21no—
272C4⋊Dic11—21no—
273C4⋊Dic11—21no—
274C4⋊Dic11C2×D412yes—
275C4⋊Dic11C2×D412yes—
276C4⋊Dic11C2×D412yes—
277C4⋊Dic11C2×D412yes—
278C4⋊Dic11C2412yes—
279C4⋊Dic11C2412yes—
280Dic11⋊C4—24no—
281Dic11⋊C4—24no—
282Dic11⋊C4—24no—
283Dic11⋊C4—22no—
284Dic11⋊C4—22no—
285Dic11⋊C4C2×D414yes—
286Dic11⋊C4C2×D414yes—
287C4×Dic11—24no—
288C4×Dic11—22no—
289C4×Dic11C2414yes—
290#4318—24no—
291C2×C11⋊C8C2414yes—
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#2961—111no—
305#2946—112no—
306C2×#442D1111yescharacteristic, complemented
307C23×C11—22no—
308C23×C11—24no—
309C23×C11—22no—
310C23×C11—42no—
311C23×C11—81no—
312C23×C11—81no—
313C23×C11—81no—
314C23×C11—81no—
315C23×C11C22×D411yescharacteristic
316C22×D11—22no—
317D4×C11—24no—
318D4×C11—22no—
319D4×C11—22no—
320D4×C11—22no—
321D4×C11—42no—
322D4×C11C2×#4114yes—
323C2×C4×C11—22no—
324C2×C4×C11—22no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—44no—
328C2×C4×C11—44no—
329C2×C4×C11—82no—
330C2×C4×C11—82no—
331C2×C4×C11—81no—
332C2×C4×C11—81no—
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11C22×D411yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C2×#4112yes—
339C2×C4×C112−1+412yes—
340C2×C4×C11C2511yescharacteristic
341C22⋊D11—44no—
342C22⋊D11—84no—
343C22⋊D11—84no—
344C2×Dic11—22no—
345C2×Dic11—22no—
346C2×Dic11—22no—
347C2×Dic11—84no—
348C2×Dic11—84no—
349C2×Dic11C22×D414yes—
350C2×Dic11C22×D414yes—
351D44—22no—
352D44—22no—
353D44—42no—
354D44—81no—
355C4×D11—44no—
356C4×D11—84no—
357Dic22—22no—
358Dic22—22no—
359Dic22—42no—
360Dic22—42no—
361Dic22—42no—
362Dic22—84no—
363Dic22—81no—
364C8×C11—22no—
365C8×C11—22no—
366C11⋊C8—24no—
367C2×AGL(1,ℤ/8)—112no—
368C22×D8C2×D1111yescharacteristic
369#559—114no—
370#556—112no—
371#555—221no—
372#554—114no—
373#554—112no—
374#554—222no—
375#554—221no—
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#533—111no—
387#532—111no—
388#525—222no—
389C2×C22⋊Q8—222no—
390#520—112no—
391#518—112no—
392C2×C4×D4C2×D1111yescharacteristic
393C2×C4×D4C2×D1111yescharacteristic
394#491—112no—
395#490—114no—
396#490—112no—
397#489—114no—
398#489—112no—
399#489—112no—
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—114no—
414#459—114no—
415#459—112no—
416#446—114no—
417#446—114no—
418#442—114no—
419#442C2×D1114yes—
420#442C2×D1114yes—
421#440—114no—
422C4×SD16—114no—
423C4×D8—114no—
424#428—112no—
425C2×#106C2×D1111yescharacteristic
426#424—112no—
427#423—111no—
428#418—112no—
429#417—112no—
430#416—112no—
431#416—112no—
432C2×#102C2×D1111yescharacteristic
433C2×#102C2×D1111yescharacteristic
434#405—112no—
435C2×#97C2×D1111yescharacteristic
436C22×C11—21no—
437C22×C11—21no—
438C22×C11—24no—
439C22×C11—42no—
440C22×C11—42no—
441C22×C11—42no—
442C22×C11—42no—
443C22×C11—42no—
444C22×C11—84no—
445C22×C11—84no—
446C22×C11#54812yes—
447C22×C11C23×D411yescharacteristic
448C2×D11—42no—
449C2×D11—42no—
450C2×D11—42no—
451C4×C11—21no—
452C4×C11—21no—
453C4×C11—21no—
454C4×C11—21no—
455C4×C11—42no—
456C4×C11—42no—
457C4×C11#54812yes—
458C4×C11C22×#4111yescharacteristic
459C4×C11C2×2−1+411yescharacteristic
460Dic11—24no—
461Dic11—24no—
462Dic11—42no—
463Dic11—42no—
464Dic11—42no—
465C2×#41—112no—
466C2×#41—222no—
467C22×Q8—222no—
468C22×D4C22×D1111yescharacteristic
469C22×D4C22×D1111yescharacteristic
470C23×C4—21no—
471C23×C4—21no—
472AGL(1,ℤ/8)—228no—
473C2×SD16—114no—
474C2×D8—24no—
475C2×D8—114no—
476C2×D8C22×D1114yes—
477C2×M16—112no—
478C22×C8C22×D1111yescharacteristic
479C22×C8C22×D1111yescharacteristic
480C4⋊Q8—114no—
481C4⋊Q8—111no—
482C4⋊Q8—111no—
483C4⋊Q8—111no—
484C4⋊Q8—111no—
485C4⋊Q8—111no—
486C4⋊Q8—222no—
487#127—114no—
488#127—111no—
489#126—224no—
490#125—114no—
491#125—112no—
492#125—112no—
493#125—222no—
494#124—114no—
495#124—112no—
496#124—224no—
497#123—224no—
498#123—224no—
499C22⋊Q8—112no—
500C22⋊Q8—112no—
501C22⋊Q8—224no—
502C22⋊Q8—224no—
503C22⋊Q8—224no—
504C22⋊Q8—224no—
505C22⋊Q8—224no—
506C22⋊Q8—222no—
507C22⋊Q8—224no—
508C22⋊Q8—222no—
509C22⋊Q8—222no—
510C22⋊Q8—221no—
511C22⋊Q8—221no—
512#121—224no—
513#121—222no—
514#121—222no—
515#121—222no—
516#121—221no—
517#121—221no—
518#120—224no—
519C4×Q8—112no—
520C4×Q8—112no—
521C4×Q8—114no—
522C4×Q8—221no—
523C4×Q8—221no—
524C4×D4—21no—
525C4×D4—21no—
526C4×D4—21no—
527C4×D4—21no—
528C4×D4—114no—
529C4×D4—114no—
530C4×D4—114no—
531C4×D4—224no—
532C4×D4—224no—
533C4×D4—222no—
534C4×D4—222no—
535C4×D4—221no—
536C4×D4—221no—
537C4×D4C22×D1112yes—
538C4×D4C22×D1112yes—
539C4×D4C22×D1112yes—
540C4×D4C22×D1112yes—
541#117—112no—
542#117—112no—
543#117—222no—
544#117—222no—
545C2×C4⋊C4—222no—
546C2×C4⋊C4—224no—
547C2×C4⋊C4—222no—
548C2×C4⋊C4C22×D1111yescharacteristic
549C2×C4⋊C4C22×D1111yescharacteristic
550C2×C22⋊C4—21no—
551C2×C22⋊C4—21no—
552C2×C22⋊C4—224no—
553C2×C42C22×D1111yescharacteristic
554#107—114no—
555#106—114no—
556#106C22×D1114yes—
557C4⋊C8—114no—
558C4⋊C8—114no—
559C4⋊C8—112no—
560C4⋊C8—112no—
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#102C22×D1114yes—
574#102C22×D1114yes—
575#97—114no—
576#97C22×D1112yes—
577#97C22×D1112yes—
578C4×C8—114no—
579C2×C11—22no—
580C2×C11—44no—
581C2×C11—82no—
582C2×C11C2×#54811yescharacteristic
583C2×C11#358511yescharacteristic
584C2×C11#358511yescharacteristic
585D11—82no—
586C24—21no—
587C24—21no—
588#41—224no—
589#41—224no—
590#41—884no—
591C2×Q8—112no—
592C2×Q8—112no—
593C2×Q8—112no—
594C2×Q8—224no—
595C2×Q8—221no—
596C2×Q8—221no—
597C2×Q8—884no—
598C2×D4—22no—
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—22no—
602C2×D4—22no—
603C2×D4—112no—
604C2×D4—224no—
605C2×D4—224no—
606C2×D4—222no—
607C2×D4—221no—
608C2×D4—221no—
609C2×D4#433914yescomplemented
610C2×D4C23×D1112yes—
611C2×D4C23×D1112yes—
612C22×C4—21no—
613C22×C4—21no—
614C22×C4—22no—
615C22×C4—22no—
616C22×C4—22no—
617C22×C4—22no—
618C22×C4—82no—
619C22×C4—82no—
620C22×C4—224no—
621C22×C4—224no—
622C22×C4—224no—
623C22×C4—222no—
624C22×C4D4×D1111yescharacteristic
625C22×C4D4×D1111yescharacteristic
626C22×C4C23×D1111yescharacteristic
627SD16—228no—
628D8—28no—
629D8—228no—
630M16—224no—
631C2×C8—22no—
632C2×C8—22no—
633C2×C8—114no—
634C2×C8C23×D1112yes—
635C2×C8C23×D1112yes—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—112no—
639C4⋊C4—114no—
640C4⋊C4—112no—
641C4⋊C4—112no—
642C4⋊C4—112no—
643C4⋊C4—114no—
644C4⋊C4—112no—
645C4⋊C4—112no—
646C4⋊C4—224no—
647C4⋊C4—224no—
648C4⋊C4—224no—
649C4⋊C4—224no—
650C4⋊C4—222no—
651C4⋊C4—221no—
652C4⋊C4—221no—
653C4⋊C4—221no—
654C4⋊C4—222no—
655C4⋊C4—221no—
656C4⋊C4C23×D1112yes—
657C4⋊C4C23×D1112yes—
658C22⋊C4—22no—
659C22⋊C4—22no—
660C22⋊C4—22no—
661C22⋊C4—22no—
662C22⋊C4—114no—
663C22⋊C4—224no—
664C22⋊C4—224no—
665C22⋊C4—224no—
666C22⋊C4—224no—
667C22⋊C4—224no—
668C22⋊C4—222no—
669C22⋊C4—222no—
670C22⋊C4—222no—
671C42—114no—
672C42—224no—
673C42—222no—
674C42D4×D1111yescharacteristic
675C42D4×D1111yescharacteristic
676C42C23×D1111yescharacteristic
677C42C23×D1111yescharacteristic
678C11#6133211yescharacteristic, complemented, Sylow
679C23—22no—
680C23—24no—
681C23—22no—
682C23—42no—
683C23—81no—
684C23—81no—
685C23—81no—
686C23—81no—
687C23—222no—
688C23C2×D4×D1111yescharacteristic
689Q8—222no—
690Q8—222no—
691Q8—442no—
692Q8—442no—
693Q8—442no—
694Q8—881no—
695Q8—884no—
696D4—24no—
697D4—22no—
698D4—22no—
699D4—22no—
700D4—42no—
701D4—222no—
702D4—222no—
703D4—442no—
704D4—444no—
705D4—881no—
706D4—884no—
707D4—884no—
708D4C2×#433914yes—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—82no—
716C2×C4—82no—
717C2×C4—81no—
718C2×C4—81no—
719C2×C4—114no—
720C2×C4—114no—
721C2×C4—222no—
722C2×C4—222no—
723C2×C4—222no—
724C2×C4—444no—
725C2×C4—884no—
726C2×C4—884no—
727C2×C4—884no—
728C2×C4C2×#433912yes—
729C2×C4C2×D4×D1111yescharacteristic
730C2×C4C2×D4×D1111yescharacteristic
731C2×C4C2×D4×D1111yescharacteristic
732C2×C4C2×D4×D1111yescharacteristic
733C2×C4C2×D4×D1111yescharacteristic
734C2×C4#6704312yes—
735C2×C4C24×D1111yescharacteristic
736C8—22no—
737C8—22no—
738C8—224no—
739C22—21no—
740C22—21no—
741C22—24no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—84no—
748C22—84no—
749C22—442no—
750C22—442no—
751C22—442no—
752C22#1062308312yes—
753C22C22×D4×D1111yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—42no—
759C4—42no—
760C4—224no—
761C4—224no—
762C4—442no—
763C4—442no—
764C4—442no—
765C4#1062308312yes—
766C4C22×#433911yescharacteristic
767C4C2×#6704311yescharacteristic
768C2—22no—
769C2—44no—
770C2—82no—
771C2—882no—
772C2C2×#1062308311yescharacteristic
773C2#1308339211yescharacteristic
774C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC2×C11×#442C2
socleC22×C11C23×D4
hypercenterC2×#442D11
hypocenterC11#61332
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ C2×#442

Complements

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

NH ≅ G/Ntype
1. #13082468C2semidirect
2. #13082419C2semidirect
3. #13081444C2semidirect
4. #13081409C2semidirect
5. #13081374C2semidirect
6. #13081324C2semidirect
7. #13078968C2semidirect
8. #13078962C2semidirect
9. #13078483C2semidirect
10. #13078413C2semidirect
11. #13078116C2semidirect
12. #13078080C2semidirect
13. #13077556C2semidirect
14. #13077442C2semidirect
15. C2×C11×#442C2semidirect
25. #10623090C22semidirect
27. #10623084C22semidirect
30. #10623074C22semidirect
31. #10623073C22semidirect
33. #10623070C22semidirect
35. D4×Dic22C22semidirect
58. #10622632C22semidirect
59. #10622629C22semidirect
60. #10622628C22semidirect
61. #10622622C22semidirect
62. #10622621C22semidirect
63. #10622620C22semidirect
67. #10622484C22semidirect
68. #10622483C22semidirect
69. #10622470C22semidirect
70. #10622467C22semidirect
71. #10622398C22semidirect
72. #10622381C22semidirect
73. #10622378C22semidirect
74. #10622377C22semidirect
75. #10622373C22semidirect
76. #10622371C22semidirect
77. #10622370C22semidirect
78. #10622369C22semidirect
79. #10622327C22semidirect
80. #10622327C22semidirect
81. #10622326C22semidirect
82. #10622316C22semidirect
83. #10622314C22semidirect
84. #10622314C22semidirect
207. C2×D4×C11#41semidirect
306. C2×#442D11semidirect
609. C2×D4#4339semidirect
678. C11#61332semidirect

Maximal subgroups

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

subgroupindex
#130824682
#130824192
#130814442
#130814092
#130813742
#130813242
#130789682
#130789622
#130784832
#130784132
#130781162
#130780802
#130775562
#130774422
C2×C11×#4422
#6133211