Finite Group Databasebeta

← #15633856

Subgroups — #15633856

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#13082465C211yesmaximal, characteristic, complemented
2#13082417C211yesmaximal, characteristic, complemented
3#13081438C214yesmaximal, complemented
4#13081405C214yesmaximal, complemented
5#13081368C214yesmaximal, complemented
6#13081320C214yesmaximal, complemented
7#13078974C212yesmaximal, complemented
8#13078476C212yesmaximal, complemented
9#13078409C211yesmaximal, characteristic, complemented
10#13078122C212yesmaximal, complemented
11#13078076C211yesmaximal, characteristic, complemented
12#13077556C211yesmaximal, characteristic, complemented
13#13077451C212yesmaximal, complemented
14C2×#10622324C211yesmaximal, characteristic, complemented
15C11×#3135C211yesmaximal, characteristic, complemented
16C11×#533C2211yescharacteristic
17C11×#532C2211yescharacteristic
18#10623361C2212yes—
19#10623358C2212yes—
20C2×#67002C2212yes—
21C22×D88C2211yescharacteristic
22#10623263C2212yescomplemented
23#10623261C2212yescomplemented
24#10623258C2212yescomplemented
25#10623249C2212yescomplemented
26#10623221C2214yescomplemented
27#10623212C2214yescomplemented
28#10623165—22no—
29D11×C22⋊Q8—22no—
30#10623148—22no—
31#10623137—22no—
32#10623110—22no—
33#10623110—21no—
34Q8×D44—21no—
35#10623096—22no—
36#10623094—21no—
37#10623086—21no—
38#10623052C2212yes—
39#10623050C2212yes—
40C2×C4×D44C2211yescharacteristic
41C2×C4×D44C2211yescharacteristic
42#10623001C2211yescharacteristic
43C11×#491C2212yescomplemented
44C11×#490C2212yescomplemented
45C11×#489C2212yescomplemented
46C11×#489C2212yescomplemented
47C11×#416C2212yes—
48C11×#416C2212yes—
49C2×C11×#97C2211yescharacteristic
50#10622845C2212yes—
51C2×#66885C2211yescharacteristic
52C2×#66885C2211yescharacteristic
53C2×#66881C2211yescharacteristic
54#10622715C2212yes—
55#10622714C2212yes—
56#10622700C2212yescomplemented
57#10622697C2212yescomplemented
58#10622696C2212yescomplemented
59#10622685C2212yescomplemented
60#10622679C2214yescomplemented
61#10622670C2214yescomplemented
62#10622614C2212yes—
63#10622608C2212yes—
64#10622537C2211yescharacteristic
65#10622432C2214yes—
66#10622432C2214yes—
67#10622430C2214yescomplemented
68#10622413C2214yescomplemented
69#10622412C2214yescomplemented
70#10622408C2214yescomplemented
71#10622404C2214yescomplemented
72#10622401C2214yescomplemented
73#10622399C2214yes—
74#10622399C2214yes—
75#10622398C2214yescomplemented
76#10622377C2214yescomplemented
77#10622376C2214yescomplemented
78#10622374C2214yescomplemented
79#10622373C2214yescomplemented
80#10622369C2214yescomplemented
81#10622324C2214yes—
82#10622324C2214yes—
83#10622314C2214yescomplemented
84#10622314C2214yescomplemented
85C2×C11×#41C2312yes—
86C2×Q8×D11—22no—
87C2×#4341—22no—
88C22×D44C2311yescharacteristic
89C22×D44C2311yescharacteristic
90C22×C4×D11—21no—
91C22×C4×D11—21no—
92C22×C8×C11C2311yescharacteristic
93C22×C8×C11C2311yescharacteristic
94C11×C4⋊Q8C2311yescharacteristic
95C11×C4⋊Q8C2311yescharacteristic
96C11×C4⋊Q8C2311yescharacteristic
97C11×#127C2311yescharacteristic
98C11×#125C2312yes—
99C11×#124C2312yes—
100C11×C22⋊Q8—21no—
101C11×C22⋊Q8—21no—
102C11×#121—21no—
103C11×#121—21no—
104C4×Q8×C11—21no—
105C4×Q8×C11—21no—
106C4×D4×C11—21no—
107C4×D4×C11—21no—
108C11×#117C2312yes—
109C2×C42×C11C2311yescharacteristic
110#67002—28no—
111#67000C2314yes—
112#66999—22no—
113#66999—24no—
114Q8×Dic11C2314yes—
115C2×#4325C2314yes—
116#66993C2314yes—
117#66992—24no—
118#66991—22no—
119#66990—24no—
120D4×Dic11—24no—
121D4×Dic11C2314yes—
122C2×#4323C2314yes—
123#66983—22no—
124#66983—22no—
125C2×(C2×D11)⋊C4—21no—
126C2×(C2×D11)⋊C4—21no—
127#66979—22no—
128#66979C2312yes—
129C2×C4⋊Dic11—22no—
130C2×C4⋊Dic11C2311yescharacteristic
131C2×C4⋊Dic11C2311yescharacteristic
132#66977D412yes—
133#66977D412yes—
134C2×#4318C2312yes—
135C2×D88—24no—
136C2×D88C2314yes—
137#66951—24no—
138#66950—22no—
139#66950—22no—
140#66950—24no—
141#66949—24no—
142#66949—24no—
143#66949—24no—
144#66946C2314yes—
145#66946C2314yes—
146#66945—22no—
147C4⋊C4×D11—22no—
148C4⋊C4×D11—24no—
149#66943C2314yes—
150#66941C2314yes—
151#66939—24no—
152#66938—24no—
153#66936—24no—
154(C22⋊D11)⋊C4—24no—
155C22⋊C4×D11—24no—
156#66931—24no—
157C4×D44—21no—
158C4×D44—21no—
159C4×D44—21no—
160C4×D44—21no—
161C4×D44—22no—
162C4×D44—22no—
163C4×D44C2312yes—
164C4×D44C2312yes—
165C4×D44C2312yes—
166C4×D44C2312yes—
167#66923—22no—
168#66923D412yes—
169#66922—22no—
170#66922D411yescharacteristic
171#66922D411yescharacteristic
172C4×Dic22C2312yes—
173C4×Dic22C2312yes—
174C11×#103C2312yes—
175C11×#103C2312yes—
176C11×#103C2312yes—
177C11×#103C2312yes—
178C11×#102C2312yes—
179C11×#102C2312yes—
180C11×#102C2312yes—
181C11×#102C2312yes—
182C11×#97C2312yes—
183C11×#97C2312yes—
184#66899C2314yes—
185#66896C2314yes—
186#66885C2314yes—
187#66885C2314yes—
188#66881C2314yes—
189#66879C2314yes—
190Dic11⋊C8C2314yes—
191Dic11⋊C8C2314yes—
192C8×Dic11C2314yes—
193#66873C2314yes—
194#66873C2314yes—
195#66872C2314yes—
196#66871C2314yes—
197C4⋊(C11⋊C8)C2312yes—
198C4⋊(C11⋊C8)C2312yes—
199#61332—111nomaximal, Sylow
200C23×D11—21no—
201C23×D11—21no—
202C11×#41—24no—
203C11×#41—24no—
204C2×Q8×C11—21no—
205C2×Q8×C11—21no—
206C2×Q8×C11C2412yes—
207C2×D4×C11—22no—
208C2×D4×C11—21no—
209C2×D4×C11—21no—
210C2×D4×C11C2412yes—
211C22×C4×C11—22no—
212C22×C4×C11C2×D411yescharacteristic
213C22×C4×C11C2×D411yescharacteristic
214C22×C4×C11C2411yescharacteristic
215C2×C22⋊D11—24no—
216C2×C22⋊D11—24no—
217C22×Dic11—24no—
218C22×Dic11—21no—
219C22×Dic11—21no—
220Q8×D11—84no—
221#4341—84no—
222C2×D44—21no—
223C2×D44—21no—
224C2×D44—22no—
225C2×D44—22no—
226C2×D44—22no—
227C2×D44#4114yescomplemented
228C2×D44C2412yes—
229C2×D44C2412yes—
230C2×C4×D11—24no—
231C2×C4×D11—24no—
232C2×C4×D11—22no—
233C2×C4×D11—22no—
234C2×C4×D11—22no—
235C2×C4×D11—22no—
236C2×C4×D11—82no—
237C2×C4×D11—82no—
238C2×Dic22—24no—
239C2×Dic22C2×D412yes—
240C2×Dic22C2×D412yes—
241C2×C8×C11—22no—
242C2×C8×C11—22no—
243C2×C8×C11C2412yes—
244C2×C8×C11C2412yes—
245C11×C4⋊C4—22no—
246C11×C4⋊C4—21no—
247C11×C4⋊C4—21no—
248C11×C4⋊C4—21no—
249C11×C4⋊C4—22no—
250C11×C4⋊C4—21no—
251C11×C4⋊C4C2412yes—
252C11×C4⋊C4C2412yes—
253C11×C22⋊C4—22no—
254C11×C22⋊C4—22no—
255C11×C22⋊C4—22no—
256C42×C11—22no—
257C42×C11C2×D411yescharacteristic
258C42×C11C2×D411yescharacteristic
259C42×C11C2411yescharacteristic
260C42×C11C2411yescharacteristic
261C22⋊Dic11—24no—
262C22⋊Dic11C2×D414yes—
263#4325—28no—
264#4323—28no—
265(C2×D11)⋊C4—24no—
266(C2×D11)⋊C4—24no—
267(C2×D11)⋊C4—24no—
268(C2×D11)⋊C4—24no—
269(C2×D11)⋊C4—22no—
270(C2×D11)⋊C4—22no—
271(C2×D11)⋊C4—22no—
272(C2×D11)⋊C4—22no—
273C4⋊Dic11—24no—
274C4⋊Dic11—24no—
275C4⋊Dic11—21no—
276C4⋊Dic11—21no—
277C4⋊Dic11C2×D412yes—
278C4⋊Dic11C2×D412yes—
279C4⋊Dic11C2×D412yes—
280C4⋊Dic11C2×D412yes—
281C4⋊Dic11C2412yes—
282C4⋊Dic11C2412yes—
283Dic11⋊C4—24no—
284Dic11⋊C4—24no—
285Dic11⋊C4C2×D414yes—
286Dic11⋊C4C2×D414yes—
287C4×Dic11—24no—
288C4×Dic11C2414yes—
289#4318—24no—
290C2×C11⋊C8C2414yes—
291D88—28no—
292#3506—111no—
293#3501—111no—
294#3376—114no—
295#3373—114no—
296#3370—114no—
297#3366—114no—
298#3136—112no—
299#3135D1111yescharacteristic, complemented
300#3084—112no—
301#3077—111no—
302#3041—112no—
303#3036—111no—
304#2961—111no—
305#2946—112no—
306C2×#442—111no—
307C23×C11—22no—
308C23×C11C22×D411yescharacteristic
309C22×D11—22no—
310C22×D11—24no—
311C22×D11—22no—
312C22×D11—42no—
313C22×D11—81no—
314C22×D11—81no—
315C22×D11—81no—
316C22×D11—81no—
317Q8×C11—22no—
318Q8×C11—22no—
319Q8×C11—42no—
320Q8×C11—81no—
321D4×C11—22no—
322D4×C11—22no—
323D4×C11—42no—
324D4×C11—44no—
325D4×C11—81no—
326C2×C4×C11—22no—
327C2×C4×C11—22no—
328C2×C4×C11—22no—
329C2×C4×C11—41no—
330C2×C4×C11—41no—
331C2×C4×C11—44no—
332C2×C4×C11C22×D411yescharacteristic
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11C22×D411yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D411yescharacteristic
337C2×C4×C11C2×#4112yes—
338C2×C4×C112−1+412yes—
339C2×C4×C11C2511yescharacteristic
340C22⋊D11—84no—
341C22⋊D11—84no—
342C2×Dic11—22no—
343C2×Dic11—22no—
344C2×Dic11—84no—
345C2×Dic11—81no—
346C2×Dic11—81no—
347C2×Dic11C22×D414yes—
348C2×Dic11C22×D414yes—
349D44—24no—
350D44—22no—
351D44—22no—
352D44—22no—
353D44—42no—
354D44C2×#4114yes—
355C4×D11—44no—
356C4×D11—44no—
357C4×D11—84no—
358C4×D11—84no—
359C4×D11—82no—
360C4×D11—82no—
361Dic22—42no—
362Dic22—42no—
363Dic22—84no—
364C8×C11—22no—
365C8×C11—22no—
366C11⋊C8—24no—
367C2×AGL(1,ℤ/8)—112no—
368C22×D8—111no—
369#559—114no—
370#556—112no—
371#555—221no—
372#554—112no—
373#554—114no—
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#533C2×D1111yescharacteristic
387#532C2×D1111yescharacteristic
388#525—222no—
389C2×C22⋊Q8—222no—
390#520—112no—
391#518—112no—
392C2×C4×D4—111no—
393C2×C4×D4—111no—
394#491C2×D1112yescomplemented
395#490—114no—
396#490C2×D1112yescomplemented
397#489—114no—
398#489C2×D1112yescomplemented
399#489C2×D1112yescomplemented
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#446—114no—
417#446—114no—
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#424—112no—
427#423—111no—
428#418—112no—
429#417—112no—
430#416C2×D1112yes—
431#416C2×D1112yes—
432C2×#102—111no—
433C2×#102—111no—
434#405—112no—
435C2×#97C2×D1111yescharacteristic
436C22×C11—21no—
437C22×C11—21no—
438C22×C11—42no—
439C22×C11—42no—
440C22×C11—42no—
441C22×C11#54812yes—
442C22×C11C23×D411yescharacteristic
443C2×D11—24no—
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—42no—
456C4×C11—42no—
457C4×C11—42no—
458C4×C11#54812yes—
459C4×C11C22×#4111yescharacteristic
460C4×C11C2×2−1+411yescharacteristic
461Dic11—24no—
462Dic11—24no—
463Dic11—42no—
464Dic11—42no—
465C2×#41—222no—
466C2×#41C22×D1112yes—
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×M16—112no—
478C22×C8C22×D1111yescharacteristic
479C22×C8C22×D1111yescharacteristic
480C4⋊Q8—114no—
481C4⋊Q8—111no—
482C4⋊Q8—111no—
483C4⋊Q8—222no—
484C4⋊Q8C22×D1111yescharacteristic
485C4⋊Q8C22×D1111yescharacteristic
486C4⋊Q8C22×D1111yescharacteristic
487#127—114no—
488#127C22×D1111yescharacteristic
489#126—224no—
490#125—114no—
491#125—112no—
492#125—222no—
493#125C22×D1112yes—
494#124—114no—
495#124—224no—
496#124C22×D1112yes—
497#123—224no—
498#123—224no—
499C22⋊Q8—21no—
500C22⋊Q8—21no—
501C22⋊Q8—112no—
502C22⋊Q8—112no—
503C22⋊Q8—224no—
504C22⋊Q8—224no—
505C22⋊Q8—224no—
506C22⋊Q8—224no—
507C22⋊Q8—222no—
508C22⋊Q8—222no—
509C22⋊Q8—224no—
510C22⋊Q8—222no—
511C22⋊Q8—224no—
512#121—21no—
513#121—21no—
514#121—222no—
515#121—222no—
516#121—222no—
517#121—224no—
518#120—224no—
519C4×Q8—21no—
520C4×Q8—21no—
521C4×Q8—112no—
522C4×Q8—112no—
523C4×Q8—114no—
524C4×D4—21no—
525C4×D4—21no—
526C4×D4—114no—
527C4×D4—114no—
528C4×D4—114no—
529C4×D4—112no—
530C4×D4—112no—
531C4×D4—112no—
532C4×D4—112no—
533C4×D4—222no—
534C4×D4—222no—
535C4×D4—224no—
536C4×D4—224no—
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—224no—
548C2×C4⋊C4—222no—
549C2×C4⋊C4—222no—
550C2×C22⋊C4—224no—
551C2×C22⋊C4—221no—
552C2×C22⋊C4—221no—
553C2×C42C22×D1111yescharacteristic
554#107—114no—
555#106—114no—
556#106—114no—
557C4⋊C8—114no—
558C4⋊C8—114no—
559C4⋊C8—112no—
560C4⋊C8—112no—
561#103—114no—
562#103C22×D1112yes—
563#103C22×D1112yes—
564#103C22×D1112yes—
565#103C22×D1112yes—
566#102—114no—
567#102—114no—
568#102—114no—
569#102—114no—
570#102—114no—
571#102C22×D1112yes—
572#102C22×D1112yes—
573#102C22×D1112yes—
574#102C22×D1112yes—
575#97—114no—
576#97C22×D1112yes—
577#97C22×D1112yes—
578C4×C8—114no—
579C2×C11—22no—
580C2×C11—82no—
581C2×C11C2×#54811yescharacteristic
582C2×C11#358511yescharacteristic
583C2×C11#358511yescharacteristic
584D11—44no—
585D11—82no—
586C24—221no—
587C24—221no—
588#41—24no—
589#41—24no—
590#41—884no—
591C2×Q8—21no—
592C2×Q8—21no—
593C2×Q8—112no—
594C2×Q8—112no—
595C2×Q8—224no—
596C2×Q8—884no—
597C2×Q8C23×D1112yes—
598C2×D4—22no—
599C2×D4—21no—
600C2×D4—21no—
601C2×D4—114no—
602C2×D4—112no—
603C2×D4—112no—
604C2×D4—224no—
605C2×D4—224no—
606C2×D4—221no—
607C2×D4—221no—
608C2×D4—222no—
609C2×D4—222no—
610C2×D4—222no—
611C2×D4C23×D1112yes—
612C22×C4—22no—
613C22×C4—224no—
614C22×C4—224no—
615C22×C4—224no—
616C22×C4—221no—
617C22×C4—221no—
618C22×C4—222no—
619C22×C4—222no—
620C22×C4—222no—
621C22×C4—222no—
622C22×C4—882no—
623C22×C4—882no—
624C22×C4D4×D1111yescharacteristic
625C22×C4D4×D1111yescharacteristic
626C22×C4C23×D1111yescharacteristic
627SD16—228no—
628D8—228no—
629D8—228no—
630M16—224no—
631C2×C8—22no—
632C2×C8—22no—
633C2×C8—114no—
634C2×C8C23×D1112yes—
635C2×C8C23×D1112yes—
636C4⋊C4—22no—
637C4⋊C4—21no—
638C4⋊C4—21no—
639C4⋊C4—21no—
640C4⋊C4—22no—
641C4⋊C4—21no—
642C4⋊C4—112no—
643C4⋊C4—114no—
644C4⋊C4—112no—
645C4⋊C4—112no—
646C4⋊C4—112no—
647C4⋊C4—114no—
648C4⋊C4—112no—
649C4⋊C4—112no—
650C4⋊C4—224no—
651C4⋊C4—224no—
652C4⋊C4—224no—
653C4⋊C4—224no—
654C4⋊C4—221no—
655C4⋊C4—221no—
656C4⋊C4C23×D1112yes—
657C4⋊C4C23×D1112yes—
658C22⋊C4—22no—
659C22⋊C4—22no—
660C22⋊C4—22no—
661C22⋊C4—114no—
662C22⋊C4—224no—
663C22⋊C4—224no—
664C22⋊C4—224no—
665C22⋊C4—224no—
666C22⋊C4—224no—
667C22⋊C4—222no—
668C22⋊C4—222no—
669C22⋊C4—222no—
670C22⋊C4—222no—
671C42—22no—
672C42—114no—
673C42—224no—
674C42D4×D1111yescharacteristic
675C42D4×D1111yescharacteristic
676C42C23×D1111yescharacteristic
677C42C23×D1111yescharacteristic
678C11#6133211yescharacteristic, complemented, Sylow
679C23—22no—
680C23—222no—
681C23—224no—
682C23—222no—
683C23—442no—
684C23—881no—
685C23—881no—
686C23—881no—
687C23—881no—
688C23C2×D4×D1111yescharacteristic
689Q8—22no—
690Q8—22no—
691Q8—42no—
692Q8—81no—
693Q8—442no—
694Q8—442no—
695Q8—884no—
696D4—22no—
697D4—22no—
698D4—42no—
699D4—44no—
700D4—81no—
701D4—114no—
702D4—222no—
703D4—222no—
704D4—222no—
705D4—224no—
706D4—442no—
707D4—884no—
708D4—884no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—44no—
715C2×C4—114no—
716C2×C4—114no—
717C2×C4—222no—
718C2×C4—222no—
719C2×C4—444no—
720C2×C4—444no—
721C2×C4—882no—
722C2×C4—882no—
723C2×C4—884no—
724C2×C4—884no—
725C2×C4—884no—
726C2×C4—881no—
727C2×C4—881no—
728C2×C4C2×D4×D1111yescharacteristic
729C2×C4C2×D4×D1111yescharacteristic
730C2×C4C2×D4×D1111yescharacteristic
731C2×C4C2×D4×D1111yescharacteristic
732C2×C4C2×D4×D1111yescharacteristic
733C2×C4#41×D1112yes—
734C2×C4#6704312yes—
735C2×C4C24×D1111yescharacteristic
736C8—22no—
737C8—22no—
738C8—224no—
739C22—21no—
740C22—21no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—224no—
745C22—442no—
746C22—442no—
747C22—442no—
748C22—442no—
749C22—442no—
750C22—884no—
751C22—884no—
752C22#1062320812yes—
753C22C22×D4×D1111yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—224no—
762C4—224no—
763C4—442no—
764C4—442no—
765C4#1062320812yes—
766C4C2×#41×D1111yescharacteristic
767C4C2×#6704311yescharacteristic
768C2—22no—
769C2—82no—
770C2—444no—
771C2—882no—
772C2C2×#1062320811yescharacteristic
773C2#1308339311yescharacteristic
774C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3135C2
socleC22×C11C23×D4
hypercenter#3135D11
hypocenterC11#61332
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3135

Complements

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

NH ≅ G/Ntype
1. #13082465C2semidirect
2. #13082417C2semidirect
3. #13081438C2semidirect
4. #13081405C2semidirect
5. #13081368C2semidirect
6. #13081320C2semidirect
7. #13078974C2semidirect
8. #13078476C2semidirect
9. #13078409C2semidirect
10. #13078122C2semidirect
11. #13078076C2semidirect
12. #13077556C2semidirect
13. #13077451C2semidirect
14. C2×#10622324C2semidirect
15. C11×#3135C2semidirect
22. #10623263C22semidirect
23. #10623261C22semidirect
24. #10623258C22semidirect
25. #10623249C22semidirect
26. #10623221C22semidirect
27. #10623212C22semidirect
43. C11×#491C22semidirect
44. C11×#490C22semidirect
45. C11×#489C22semidirect
46. C11×#489C22semidirect
56. #10622700C22semidirect
57. #10622697C22semidirect
58. #10622696C22semidirect
59. #10622685C22semidirect
60. #10622679C22semidirect
61. #10622670C22semidirect
67. #10622430C22semidirect
68. #10622413C22semidirect
69. #10622412C22semidirect
70. #10622408C22semidirect
71. #10622404C22semidirect
72. #10622401C22semidirect
75. #10622398C22semidirect
76. #10622377C22semidirect
77. #10622376C22semidirect
78. #10622374C22semidirect
79. #10622373C22semidirect
80. #10622369C22semidirect
83. #10622314C22semidirect
84. #10622314C22semidirect
227. C2×D44#41semidirect
299. #3135D11semidirect
394. #491C2×D11semidirect
396. #490C2×D11semidirect
398. #489C2×D11semidirect
399. #489C2×D11semidirect
678. C11#61332semidirect

Maximal subgroups

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

subgroupindex
#130824652
#130824172
#130814382
#130814052
#130813682
#130813202
#130789742
#130784762
#130784092
#130781222
#130780762
#130775562
#130774512
C2×#106223242
C11×#31352
#6133211