Finite Group Databasebeta

← #15633845

Subgroups — #15633845

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#13082417C211yesmaximal, characteristic, complemented
2#13081437C214yesmaximal, complemented
3#13081404C214yesmaximal, complemented
4#13081363C214yesmaximal, complemented
5#13081319C214yesmaximal, complemented
6#13078970C212yesmaximal, complemented
7#13078961C211yesmaximal, characteristic, complemented
8#13078478C212yesmaximal, complemented
9#13078413C211yesmaximal, characteristic, complemented
10#13078115C212yesmaximal, complemented
11#13078076C211yesmaximal, characteristic, complemented
12#13077557C211yesmaximal, characteristic, complemented
13#13077444C212yesmaximal, complemented
14C2×#10622627C211yesmaximal, characteristic, complemented
15C11×#3506C211yesmaximal, characteristic, complemented
16C11×#559C2214yescomplemented
17C11×#556C2212yescomplemented
18C11×#555—21no—
19C11×#553—22no—
20C11×#550C2212yescomplemented
21C11×#547—21no—
22C11×#538—22no—
23C11×#535C2212yes—
24C11×#533C2211yescharacteristic
25C11×#532C2211yescharacteristic
26C11×#525—22no—
27C11×#520C2212yes—
28C2×C4×D4×C11C2211yescharacteristic
29C2×#67002C2212yes—
30C22×#4323C2211yescharacteristic
31#10623261—21no—
32#10623258—21no—
33#10623221—22no—
34#10623165—22no—
35D11×C22⋊Q8—22no—
36#10623110C2212yescomplemented
37#10623110C2214yescomplemented
38Q8×D44C2212yescomplemented
39#10623052C2212yes—
40#10623050C2212yes—
41C2×C4×D44C2211yescharacteristic
42#10623001C2211yescharacteristic
43#10622846C2212yes—
44#10622846C2212yes—
45#10622845C2212yes—
46#10622828C2212yes—
47C2×#66896C2211yescharacteristic
48#10622696C2212yescomplemented
49#10622695C2212yescomplemented
50#10622685C2214yes—
51#10622685C2214yes—
52#10622685C2212yescomplemented
53#10622684C2214yescomplemented
54#10622684C2212yescomplemented
55#10622683C2214yescomplemented
56#10622670C2214yes—
57#10622670C2214yes—
58#10622670C2214yescomplemented
59#10622669C2214yescomplemented
60#10622668C2212yescomplemented
61#10622668C2212yescomplemented
62#10622668C2214yescomplemented
63#10622639C2214yescomplemented
64C4×#4325C2214yescomplemented
65#10622637C2214yescomplemented
66#10622637C2214yescomplemented
67#10622635C2214yescomplemented
68#10622633C2214yescomplemented
69#10622627C2214yes—
70#10622627C2214yes—
71#10622627C2214yescomplemented
72C4×#4323C2214yescomplemented
73#10622622C2214yescomplemented
74#10622622C2214yescomplemented
75#10622621C2212yescomplemented
76#10622621C2214yescomplemented
77#10622620C2212yescomplemented
78#10622612C2212yes—
79#10622610C2212yes—
80C2×#66873C2211yescharacteristic
81#10622577C2212yes—
82C2×#66872C2211yescharacteristic
83#10622537C2211yescharacteristic
84C2×#66867C2211yescharacteristic
85C2×C11×#41—22no—
86C2×C11×#41C2312yes—
87C22×D4×C11C2311yescharacteristic
88C23×C4×C11—21no—
89C2×Q8×D11—22no—
90C22×D44C2311yescharacteristic
91C22×C4×D11—21no—
92C11×C4⋊Q8D411yescharacteristic
93C11×C4⋊Q8D411yescharacteristic
94C11×C4⋊Q8C2311yescharacteristic
95C11×#127C2311yescharacteristic
96C11×#127C2314yes—
97C11×#126—24no—
98C11×#125D412yes—
99C11×#124—24no—
100C11×#124C2312yes—
101C11×#124C2314yes—
102C11×#123—24no—
103C11×#123—24no—
104C11×C22⋊Q8—22no—
105C11×C22⋊Q8D412yes—
106C11×C22⋊Q8D412yes—
107C11×#121—21no—
108C11×#121—21no—
109C11×#121—22no—
110C11×#121—22no—
111C11×#121—22no—
112C11×#121—24no—
113C11×#120—24no—
114C4×Q8×C11C2314yes—
115C4×Q8×C11C2312yes—
116C4×Q8×C11C2312yes—
117C4×D4×C11—24no—
118C4×D4×C11—24no—
119C4×D4×C11—21no—
120C4×D4×C11—21no—
121C4×D4×C11—21no—
122C4×D4×C11—21no—
123C4×D4×C11C2312yes—
124C4×D4×C11C2312yes—
125C4×D4×C11C2314yes—
126C11×#117—22no—
127C11×#117—22no—
128C11×#117C2312yes—
129C2×C11×C4⋊C4—22no—
130C2×C11×C4⋊C4C2311yescharacteristic
131C2×C11×C22⋊C4—21no—
132C2×C42×C11C2311yescharacteristic
133#67002—28no—
134#66999—22no—
135#66999—24no—
136C2×#4325C2314yes—
137C2×#4323—24no—
138C2×#4323C2314yes—
139C2×#4323C2314yes—
140C2×(C2×D11)⋊C4—21no—
141#66979C2312yes—
142C2×C4⋊Dic11C2311yescharacteristic
143#66977—21no—
144#66977—21no—
145C2×#4318C2312yes—
146C22×C11⋊C8C2311yescharacteristic
147C22×C11⋊C8C2311yescharacteristic
148#66950—22no—
149#66950—24no—
150#66949—24no—
151#66949—24no—
152#66949—24no—
153#66946—22no—
154#66946—22no—
155C4⋊C4×D11—22no—
156C4⋊C4×D11—24no—
157#66943—22no—
158#66941—22no—
159C22⋊C4×D11—24no—
160#66931—24no—
161C4×D44—21no—
162C4×D44—21no—
163C4×D44C2312yes—
164C4×D44C2312yes—
165C4×D44C2314yes—
166C4×D44C2314yes—
167#66923C2312yes—
168#66923C2314yes—
169#66922C2311yescharacteristic
170#66922C2311yescharacteristic
171#66922C2314yes—
172C4×Dic22—21no—
173C4×Dic22—21no—
174#66899C2314yes—
175#66899C2312yes—
176#66899C2312yes—
177#66899C2312yes—
178#66899C2312yes—
179#66896C2314yes—
180#66896C2314yes—
181#66896C2314yes—
182#66896C2314yes—
183#66896C2312yes—
184#66896C2312yes—
185#66896C2312yes—
186#66896C2312yes—
187#66873C2314yes—
188#66872C2314yes—
189#66872C2314yes—
190#66871C2314yes—
191C4⋊(C11⋊C8)C2312yes—
192C4⋊(C11⋊C8)C2312yes—
193C4⋊(C11⋊C8)C2314yes—
194C4⋊(C11⋊C8)C2314yes—
195#66867C2312yes—
196#66867C2312yes—
197#66867C2314yes—
198C4×C11⋊C8C2314yes—
199#61332—111nomaximal, Sylow
200C24×C11—21no—
201C23×D11—21no—
202C11×#41—24no—
203C11×#41—24no—
204C11×#41—84no—
205C2×Q8×C11C2×D412yes—
206C2×Q8×C11C2×D412yes—
207C2×Q8×C11C2412yes—
208C2×D4×C11—22no—
209C2×D4×C11—21no—
210C2×D4×C11—21no—
211C2×D4×C11—24no—
212C2×D4×C11—21no—
213C2×D4×C11—24no—
214C2×D4×C11—22no—
215C2×D4×C11—22no—
216C2×D4×C11C2412yes—
217C2×D4×C11C2412yes—
218C22×C4×C11—21no—
219C22×C4×C11—22no—
220C22×C4×C11—22no—
221C22×C4×C11—24no—
222C22×C4×C11—22no—
223C22×C4×C11—82no—
224C22×C4×C11C2×D411yescharacteristic
225C22×C4×C11C2×D411yescharacteristic
226C22×C4×C11C2411yescharacteristic
227C22×Dic11—21no—
228Q8×D11—84no—
229C2×D44—21no—
230C2×D44—22no—
231C2×D44#4114yescomplemented
232C2×D44C2412yes—
233C2×C4×D11—22no—
234C2×C4×D11—22no—
235C2×C4×D11—24no—
236C2×C4×D11—24no—
237C2×C4×D11—82no—
238C2×Dic22—21no—
239C2×Dic22—21no—
240C2×Dic22—24no—
241C11×C4⋊C4—21no—
242C11×C4⋊C4—24no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—21no—
245C11×C4⋊C4C2×D412yes—
246C11×C4⋊C4C2×D412yes—
247C11×C4⋊C4C2×D414yes—
248C11×C4⋊C4C2×D412yes—
249C11×C4⋊C4C2×D412yes—
250C11×C4⋊C4C2×D414yes—
251C11×C4⋊C4C2412yes—
252C11×C22⋊C4—22no—
253C11×C22⋊C4—22no—
254C11×C22⋊C4—24no—
255C11×C22⋊C4—24no—
256C11×C22⋊C4—22no—
257C11×C22⋊C4—24no—
258C11×C22⋊C4—22no—
259C11×C22⋊C4C2×D414yes—
260C42×C11—24no—
261C42×C11C2×D411yescharacteristic
262C42×C11C2×D411yescharacteristic
263C42×C11C2414yes—
264C42×C11C2411yescharacteristic
265C42×C11C2411yescharacteristic
266C22⋊Dic11—22no—
267#4325—28no—
268#4323—28no—
269#4323—28no—
270(C2×D11)⋊C4—22no—
271(C2×D11)⋊C4—22no—
272(C2×D11)⋊C4—24no—
273(C2×D11)⋊C4—24no—
274C4⋊Dic11—21no—
275C4⋊Dic11—21no—
276C4⋊Dic11—24no—
277C4⋊Dic11—21no—
278C4⋊Dic11C2412yes—
279C4⋊Dic11C2412yes—
280C4⋊Dic11C2412yes—
281Dic11⋊C4—22no—
282Dic11⋊C4—22no—
283Dic11⋊C4—24no—
284Dic11⋊C4—24no—
285C4×Dic11—22no—
286#4318—24no—
287C2×C11⋊C8—22no—
288C2×C11⋊C8—22no—
289C2×C11⋊C8C2412yes—
290C2×C11⋊C8C2414yes—
291C2×C11⋊C8C2412yes—
292#3506D1111yescharacteristic, complemented
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×#442—111no—
307C23×C11—22no—
308C23×C11—22no—
309C23×C11—42no—
310C23×C11—81no—
311C23×C11—81no—
312C23×C11C22×D411yescharacteristic
313C22×D11—22no—
314C22×D11—24no—
315C22×D11—81no—
316C22×D11—81no—
317Q8×C11—22no—
318Q8×C11—22no—
319Q8×C11—42no—
320Q8×C11—42no—
321D4×C11—22no—
322D4×C11—22no—
323D4×C11—22no—
324D4×C11—22no—
325D4×C11—42no—
326D4×C11—44no—
327D4×C11—42no—
328D4×C11—81no—
329D4×C11—84no—
330D4×C11—84no—
331C2×C4×C11—22no—
332C2×C4×C11—22no—
333C2×C4×C11—41no—
334C2×C4×C11—41no—
335C2×C4×C11—44no—
336C2×C4×C11—44no—
337C2×C4×C11—82no—
338C2×C4×C11—84no—
339C2×C4×C11—81no—
340C2×C4×C11C22×D411yescharacteristic
341C2×C4×C11C22×D411yescharacteristic
342C2×C4×C11C22×D414yes—
343C2×C4×C11C22×D414yes—
344C2×C4×C11C22×D411yescharacteristic
345C2×C4×C11C22×D411yescharacteristic
346C2×C4×C11C22×D411yescharacteristic
347C2×C4×C11C2×#4112yes—
348C2×C4×C112−1+412yes—
349C2×C4×C11C2511yescharacteristic
350C2×Dic11—22no—
351C2×Dic11—22no—
352C2×Dic11—22no—
353C2×Dic11—81no—
354D44—24no—
355D44—22no—
356D44C2×#4114yes—
357C4×D11—44no—
358C4×D11—84no—
359C4×D11—82no—
360C4×D11—84no—
361Dic22—42no—
362Dic22—81no—
363Dic22—84no—
364C11⋊C8—22no—
365C11⋊C8—24no—
366C11⋊C8—22no—
367C2×AGL(1,ℤ/8)—112no—
368C22×D8—111no—
369#559C2×D1114yescomplemented
370#556C2×D1112yescomplemented
371#555—21no—
372#554—114no—
373#554—112no—
374#554—221no—
375#554—222no—
376#553—22no—
377#550C2×D1112yescomplemented
378D4×Q8—112no—
379D4×Q8—221no—
380#547—21no—
381#544—112no—
382#543—222no—
383#538—22no—
384#535C2×D1112yes—
385#533—111no—
386#533C2×D1111yescharacteristic
387#532C2×D1111yescharacteristic
388#525—22no—
389C2×C22⋊Q8—222no—
390#520C2×D1112yes—
391#518—112no—
392C2×C4×D4—111no—
393C2×C4×D4C2×D1111yescharacteristic
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#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#416—112no—
431#416—112no—
432C2×#102—111no—
433C2×#102—111no—
434#405—112no—
435C2×#97—111no—
436C22×C11—21no—
437C22×C11—21no—
438C22×C11—42no—
439C22×C11—42no—
440C22×C11—42no—
441C22×C11—42no—
442C22×C11—42no—
443C22×C11—42no—
444C22×C11—84no—
445C22×C11#54812yes—
446C22×C11C23×D411yescharacteristic
447C2×D11—24no—
448C2×D11—42no—
449C2×D11—42no—
450C2×D11—84no—
451C4×C11—21no—
452C4×C11—21no—
453C4×C11—21no—
454C4×C11—21no—
455C4×C11—24no—
456C4×C11—24no—
457C4×C11—42no—
458C4×C11—42no—
459C4×C11#54812yes—
460C4×C11C22×#4111yescharacteristic
461C4×C11C2×2−1+411yescharacteristic
462Dic11—42no—
463Dic11—42no—
464Dic11—42no—
465C2×#41—22no—
466C2×#41C22×D1112yes—
467C22×Q8—222no—
468C22×D4—111no—
469C22×D4C22×D1111yescharacteristic
470C23×C4—21no—
471C23×C4—221no—
472AGL(1,ℤ/8)—228no—
473C2×SD16—114no—
474C2×D8—114no—
475C2×D8—114no—
476C2×D8—224no—
477C2×M16—112no—
478C22×C8—111no—
479C22×C8—111no—
480C4⋊Q8—111no—
481C4⋊Q8—111no—
482C4⋊Q8—114no—
483C4⋊Q8—222no—
484C4⋊Q8C22⋊D1111yescharacteristic
485C4⋊Q8C22⋊D1111yescharacteristic
486C4⋊Q8C22×D1111yescharacteristic
487#127C22×D1111yescharacteristic
488#127C22×D1114yes—
489#126—24no—
490#125—112no—
491#125—114no—
492#125—222no—
493#125C22⋊D1112yes—
494#124—24no—
495#124C22×D1112yes—
496#124C22×D1114yes—
497#123—24no—
498#123—24no—
499C22⋊Q8—22no—
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⋊Q8C22⋊D1112yes—
511C22⋊Q8C22⋊D1112yes—
512#121—21no—
513#121—21no—
514#121—22no—
515#121—22no—
516#121—22no—
517#121—24no—
518#120—24no—
519C4×Q8—221no—
520C4×Q8—221no—
521C4×Q8C22×D1114yes—
522C4×Q8C22×D1112yes—
523C4×Q8C22×D1112yes—
524C4×D4—24no—
525C4×D4—24no—
526C4×D4—21no—
527C4×D4—21no—
528C4×D4—21no—
529C4×D4—21no—
530C4×D4—112no—
531C4×D4—112no—
532C4×D4—114no—
533C4×D4—114no—
534C4×D4—222no—
535C4×D4—222no—
536C4×D4—221no—
537C4×D4—221no—
538C4×D4C22×D1112yes—
539C4×D4C22×D1112yes—
540C4×D4C22×D1114yes—
541#117—22no—
542#117—22no—
543#117—112no—
544#117C22×D1112yes—
545C2×C4⋊C4—22no—
546C2×C4⋊C4—111no—
547C2×C4⋊C4—224no—
548C2×C4⋊C4—222no—
549C2×C4⋊C4C22×D1111yescharacteristic
550C2×C22⋊C4—21no—
551C2×C22⋊C4—221no—
552C2×C22⋊C4—224no—
553C2×C42C22×D1111yescharacteristic
554#107—114no—
555#106—114no—
556#106—114no—
557C4⋊C8—112no—
558C4⋊C8—112no—
559C4⋊C8—114no—
560C4⋊C8—114no—
561#103—112no—
562#103—112no—
563#103—112no—
564#103—112no—
565#103—114no—
566#102—114no—
567#102—112no—
568#102—112no—
569#102—112no—
570#102—112no—
571#102—114no—
572#102—114no—
573#102—114no—
574#102—114no—
575#97—112no—
576#97—112no—
577#97—114no—
578C4×C8—114no—
579C2×C11—22no—
580C2×C11—82no—
581C2×C11—82no—
582C2×C11C2×#54811yescharacteristic
583C2×C11#358511yescharacteristic
584C2×C11#358511yescharacteristic
585D11—44no—
586C24—21no—
587C24—221no—
588#41—24no—
589#41—24no—
590#41—84no—
591C2×Q8—221no—
592C2×Q8—221no—
593C2×Q8—224no—
594C2×Q8—884no—
595C2×Q8C2×C22⋊D1112yes—
596C2×Q8C2×C22⋊D1112yes—
597C2×Q8C23×D1112yes—
598C2×D4—22no—
599C2×D4—22no—
600C2×D4—22no—
601C2×D4—21no—
602C2×D4—21no—
603C2×D4—24no—
604C2×D4—21no—
605C2×D4—24no—
606C2×D4—114no—
607C2×D4—112no—
608C2×D4—222no—
609C2×D4—221no—
610C2×D4C23×D1112yes—
611C2×D4C23×D1112yes—
612C22×C4—21no—
613C22×C4—22no—
614C22×C4—22no—
615C22×C4—24no—
616C22×C4—22no—
617C22×C4—82no—
618C22×C4—221no—
619C22×C4—222no—
620C22×C4—224no—
621C22×C4—224no—
622C22×C4—222no—
623C22×C4—882no—
624C22×C4C2×C22⋊D1111yescharacteristic
625C22×C4C2×C22⋊D1111yescharacteristic
626C22×C4C23×D1111yescharacteristic
627SD16—228no—
628D8—228no—
629D8—228no—
630M16—224no—
631C2×C8—112no—
632C2×C8—114no—
633C2×C8—112no—
634C2×C8—222no—
635C2×C8—222no—
636C4⋊C4—21no—
637C4⋊C4—24no—
638C4⋊C4—21no—
639C4⋊C4—21no—
640C4⋊C4—112no—
641C4⋊C4—112no—
642C4⋊C4—112no—
643C4⋊C4—221no—
644C4⋊C4—222no—
645C4⋊C4—221no—
646C4⋊C4—224no—
647C4⋊C4—224no—
648C4⋊C4—224no—
649C4⋊C4—222no—
650C4⋊C4—221no—
651C4⋊C4C2×C22⋊D1112yes—
652C4⋊C4C2×C22⋊D1114yes—
653C4⋊C4C2×C22⋊D1112yes—
654C4⋊C4C2×C22⋊D1112yes—
655C4⋊C4C2×C22⋊D1112yes—
656C4⋊C4C2×C22⋊D1114yes—
657C4⋊C4C23×D1112yes—
658C22⋊C4—22no—
659C22⋊C4—22no—
660C22⋊C4—24no—
661C22⋊C4—24no—
662C22⋊C4—22no—
663C22⋊C4—24no—
664C22⋊C4—22no—
665C22⋊C4—222no—
666C22⋊C4—224no—
667C22⋊C4—224no—
668C22⋊C4—222no—
669C22⋊C4—222no—
670C22⋊C4C2×C22⋊D1114yes—
671C42—24no—
672C42—222no—
673C42C2×C22⋊D1111yescharacteristic
674C42C2×C22⋊D1111yescharacteristic
675C42C23×D1114yes—
676C42C23×D1111yescharacteristic
677C42C23×D1111yescharacteristic
678C11#6133211yescharacteristic, complemented, Sylow
679C23—22no—
680C23—22no—
681C23—42no—
682C23—81no—
683C23—81no—
684C23—222no—
685C23—224no—
686C23—881no—
687C23—881no—
688C23C22×C22⋊D1111yescharacteristic
689Q8—22no—
690Q8—22no—
691Q8—42no—
692Q8—42no—
693Q8—442no—
694Q8—884no—
695Q8—881no—
696D4—22no—
697D4—22no—
698D4—22no—
699D4—22no—
700D4—42no—
701D4—44no—
702D4—42no—
703D4—81no—
704D4—84no—
705D4—84no—
706D4—114no—
707D4—224no—
708D4—222no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—44no—
714C2×C4—44no—
715C2×C4—82no—
716C2×C4—84no—
717C2×C4—81no—
718C2×C4—222no—
719C2×C4—222no—
720C2×C4—222no—
721C2×C4—444no—
722C2×C4—882no—
723C2×C4—884no—
724C2×C4—884no—
725C2×C4—881no—
726C2×C4#41×D1112yes—
727C2×C4#6704312yes—
728C2×C4C22×C22⋊D1114yes—
729C2×C4C22×C22⋊D1111yescharacteristic
730C2×C4C22×C22⋊D1111yescharacteristic
731C2×C4C22×C22⋊D1111yescharacteristic
732C2×C4C22×C22⋊D1111yescharacteristic
733C2×C4C22×C22⋊D1114yes—
734C2×C4C22×C22⋊D1111yescharacteristic
735C2×C4C24×D1111yescharacteristic
736C8—222no—
737C8—224no—
738C8—222no—
739C22—21no—
740C22—21no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—84no—
748C22—224no—
749C22—442no—
750C22—442no—
751C22—884no—
752C22#1062336212yes—
753C22C23×C22⋊D1111yescharacteristic
754C4—21no—
755C4—21no—
756C4—24no—
757C4—21no—
758C4—21no—
759C4—24no—
760C4—42no—
761C4—42no—
762C4—442no—
763C4—442no—
764C4—442no—
765C4#1062336212yes—
766C4C2×#41×D1111yescharacteristic
767C4C2×#6704311yescharacteristic
768C2—22no—
769C2—82no—
770C2—82no—
771C2—444no—
772C2C2×#1062336211yescharacteristic
773C2#1308339511yescharacteristic
774C2#1308339611yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3506C2
socleC22×C11C23×D4
hypercenter#3506D11
hypocenterC11#61332
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #13082417C2semidirect
2. #13081437C2semidirect
3. #13081404C2semidirect
4. #13081363C2semidirect
5. #13081319C2semidirect
6. #13078970C2semidirect
7. #13078961C2semidirect
8. #13078478C2semidirect
9. #13078413C2semidirect
10. #13078115C2semidirect
11. #13078076C2semidirect
12. #13077557C2semidirect
13. #13077444C2semidirect
14. C2×#10622627C2semidirect
15. C11×#3506C2semidirect
16. C11×#559C22semidirect
17. C11×#556C22semidirect
20. C11×#550C22semidirect
36. #10623110C22semidirect
37. #10623110C22semidirect
38. Q8×D44C22semidirect
48. #10622696C22semidirect
49. #10622695C22semidirect
52. #10622685C22semidirect
53. #10622684C22semidirect
54. #10622684C22semidirect
55. #10622683C22semidirect
58. #10622670C22semidirect
59. #10622669C22semidirect
60. #10622668C22semidirect
61. #10622668C22semidirect
62. #10622668C22semidirect
63. #10622639C22semidirect
64. C4×#4325C22semidirect
65. #10622637C22semidirect
66. #10622637C22semidirect
67. #10622635C22semidirect
68. #10622633C22semidirect
71. #10622627C22semidirect
72. C4×#4323C22semidirect
73. #10622622C22semidirect
74. #10622622C22semidirect
75. #10622621C22semidirect
76. #10622621C22semidirect
77. #10622620C22semidirect
231. C2×D44#41semidirect
292. #3506D11semidirect
369. #559C2×D11semidirect
370. #556C2×D11semidirect
377. #550C2×D11semidirect
678. C11#61332semidirect

Maximal subgroups

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

subgroupindex
#130824172
#130814372
#130814042
#130813632
#130813192
#130789702
#130789612
#130784782
#130784132
#130781152
#130780762
#130775572
#130774442
C2×#106226272
C11×#35062
#6133211