Finite Group Databasebeta

← #15633860

Subgroups — #15633860

Order 2816.

1798 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082417C211yesmaximal, characteristic, complemented
2#13081437C214yesmaximal, complemented
3#13081393C214yesmaximal, complemented
4#13081363C214yesmaximal, complemented
5#13081330C214yesmaximal, complemented
6#13078981C212yesmaximal, complemented
7#13078961C211yesmaximal, characteristic, complemented
8#13078467C212yesmaximal, complemented
9#13078421C211yesmaximal, characteristic, complemented
10#13078124C212yesmaximal, complemented
11#13078076C211yesmaximal, characteristic
12#13077557C211yesmaximal, characteristic, complemented
13#13077444C212yesmaximal, complemented
14C2×#10622639C211yesmaximal, characteristic, complemented
15C11×#3507C211yesmaximal, characteristic, complemented
16C11×#559C2212yescomplemented
17C11×#557C2212yescomplemented
18C11×#556—21no—
19C11×#556C2214yescomplemented
20C11×#554—21no—
21C11×#552—22no—
22C11×#539—22no—
23C11×#536C2212yes—
24C11×#533C2211yescharacteristic
25C11×#532C2211yescharacteristic
26C11×#529—22no—
27C11×#520C2212yes—
28C2×C4×Q8×C11C2211yescharacteristic
29C2×#67002C2212yes—
30C22×#4325C2211yescharacteristic
31#10623261—21no—
32#10623258—21no—
33#10623221—22no—
34#10623165—22no—
35D11×C22⋊Q8—22no—
36#10623110C2214yes—
37#10623110C2212yes—
38Q8×D44C2212yes—
39#10623052C2212yes—
40#10623050C2212yes—
41C2×C4×D44C2211yescharacteristic
42#10623001C2211yescharacteristic
43#10622846C2212yes—
44#10622846C2212yes—
45#10622845C2212yes—
46#10622838C2212yes—
47C2×#66899C2211yescharacteristic
48#10622696C2212yes—
49#10622696C2214yes—
50#10622696C2214yes—
51#10622695C2212yescomplemented
52#10622695C2214yescomplemented
53#10622694C2214yescomplemented
54#10622685C2212yes—
55#10622684C2212yescomplemented
56#10622670C2214yes—
57#10622670C2214yes—
58#10622670C2214yes—
59#10622669C2214yescomplemented
60#10622668C2214yescomplemented
61#10622668C2212yescomplemented
62#10622668C2212yescomplemented
63#10622639C2214yes—
64#10622639C2214yes—
65#10622639C2214yes—
66C4×#4325C2214yes—
67#10622637C2214yescomplemented
68#10622637C2214yescomplemented
69#10622635C2214yescomplemented
70#10622635C2214yescomplemented
71#10622634C2214yescomplemented
72#10622634C2212yescomplemented
73#10622633C2212yescomplemented
74#10622627C2214yes—
75C4×#4323C2214yes—
76#10622622C2214yescomplemented
77#10622620C2214yescomplemented
78#10622612C2212yes—
79#10622610C2212yes—
80C2×#66873C2211yescharacteristic
81#10622577C2212yes—
82C2×#66871C2211yescharacteristic
83#10622537C2211yescharacteristic
84C2×#66867C2211yescharacteristic
85C2×C11×#41C2312yes—
86C22×Q8×C11C2311yescharacteristic
87C2×Q8×D11—22no—
88C22×D44C2311yescharacteristic
89C22×C4×D11—21no—
90C11×C4⋊Q8D411yescharacteristic
91C11×C4⋊Q8D411yescharacteristic
92C11×C4⋊Q8C2311yescharacteristic
93C11×C4⋊Q8C2314yes—
94C11×#127C2311yescharacteristic
95C11×#126—24no—
96C11×#126—24no—
97C11×#125—22no—
98C11×#125—24no—
99C11×#125D412yes—
100C11×#124—22no—
101C11×#124C2312yes—
102C11×#124C2314yes—
103C11×#123—24no—
104C11×#123—24no—
105C11×C22⋊Q8—24no—
106C11×C22⋊Q8—22no—
107C11×C22⋊Q8—22no—
108C11×C22⋊Q8D412yes—
109C11×C22⋊Q8D412yes—
110C11×#121—21no—
111C11×#121—21no—
112C4×Q8×C11—22no—
113C4×Q8×C11—21no—
114C4×Q8×C11—21no—
115C4×Q8×C11C2312yes—
116C4×Q8×C11C2312yes—
117C4×Q8×C11C2314yes—
118C4×Q8×C11C2312yes—
119C4×Q8×C11C2312yes—
120C4×D4×C11—22no—
121C4×D4×C11—24no—
122C4×D4×C11—21no—
123C4×D4×C11—21no—
124C4×D4×C11C2314yes—
125C11×#117—22no—
126C11×#117—24no—
127C11×#117C2312yes—
128C2×C11×C4⋊C4—21no—
129C2×C11×C4⋊C4—22no—
130C2×C11×C4⋊C4C2311yescharacteristic
131C2×C42×C11—21no—
132C2×C42×C11C2311yescharacteristic
133#67002—28no—
134#66999—22no—
135#66999—24no—
136C2×#4325—24no—
137C2×#4325C2314yes—
138C2×#4325C2314yes—
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#66899C2314yes—
176#66899C2314yes—
177#66899C2314yes—
178#66899C2312yes—
179#66899C2312yes—
180#66899C2312yes—
181#66899C2312yes—
182#66896C2314yes—
183#66896C2312yes—
184#66896C2312yes—
185#66896C2312yes—
186#66896C2312yes—
187#66873C2314yes—
188#66872C2314yes—
189#66871C2314yes—
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#61333—111nomaximal, Sylow
200C23×D11—21no—
201C11×#41—24no—
202C11×#41—24no—
203C2×Q8×C11—21no—
204C2×Q8×C11—22no—
205C2×Q8×C11—22no—
206C2×Q8×C11C2×D412yes—
207C2×Q8×C11C2×D412yes—
208C2×Q8×C11C2412yes—
209C2×Q8×C11C2412yes—
210C2×D4×C11—22no—
211C2×D4×C11—21no—
212C2×D4×C11—21no—
213C2×D4×C11C2412yes—
214C22×C4×C11—21no—
215C22×C4×C11—21no—
216C22×C4×C11—22no—
217C22×C4×C11—24no—
218C22×C4×C11C2×D411yescharacteristic
219C22×C4×C11C2×D411yescharacteristic
220C22×C4×C11C2411yescharacteristic
221C22×Dic11—21no—
222Q8×D11—84no—
223C2×D44—21no—
224C2×D44—22no—
225C2×D44#4114yes—
226C2×D44C2412yes—
227C2×C4×D11—22no—
228C2×C4×D11—22no—
229C2×C4×D11—24no—
230C2×C4×D11—24no—
231C2×C4×D11—82no—
232C2×Dic22—21no—
233C2×Dic22—21no—
234C2×Dic22—24no—
235C11×C4⋊C4—21no—
236C11×C4⋊C4—24no—
237C11×C4⋊C4—22no—
238C11×C4⋊C4—22no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—21no—
242C11×C4⋊C4—24no—
243C11×C4⋊C4C2×D412yes—
244C11×C4⋊C4C2×D412yes—
245C11×C4⋊C4C2×D414yes—
246C11×C4⋊C4C2×D412yes—
247C11×C4⋊C4C2×D412yes—
248C11×C4⋊C4C2×D414yes—
249C11×C4⋊C4C2412yes—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—24no—
252C11×C22⋊C4—24no—
253C11×C22⋊C4—22no—
254C11×C22⋊C4—24no—
255C11×C22⋊C4C2×D414yes—
256C42×C11—22no—
257C42×C11—22no—
258C42×C11—24no—
259C42×C11C2×D411yescharacteristic
260C42×C11C2×D411yescharacteristic
261C42×C11C2414yes—
262C42×C11C2411yescharacteristic
263C42×C11C2411yescharacteristic
264C22⋊Dic11—22no—
265#4325—28no—
266#4325—28no—
267#4323—28no—
268(C2×D11)⋊C4—22no—
269(C2×D11)⋊C4—22no—
270(C2×D11)⋊C4—24no—
271(C2×D11)⋊C4—24no—
272C4⋊Dic11—21no—
273C4⋊Dic11—21no—
274C4⋊Dic11—24no—
275C4⋊Dic11—21no—
276C4⋊Dic11C2412yes—
277C4⋊Dic11C2412yes—
278C4⋊Dic11C2412yes—
279Dic11⋊C4—22no—
280Dic11⋊C4—22no—
281Dic11⋊C4—24no—
282Dic11⋊C4—24no—
283C4×Dic11—22no—
284#4318—24no—
285C2×C11⋊C8—22no—
286C2×C11⋊C8—22no—
287C2×C11⋊C8C2412yes—
288C2×C11⋊C8C2414yes—
289C2×C11⋊C8C2412yes—
290#3507D1111yescharacteristic, complemented
291#3501—111no—
292#3376—114no—
293#3372—114no—
294#3370—114no—
295#3367—114no—
296#3137—112no—
297#3135—111no—
298#3083—112no—
299#3078—111no—
300#3042—112no—
301#3036—111no—
302#2961—111no—
303#2946—112no—
304C2×#440—111no—
305C23×C11—22no—
306C23×C11C22×D411yescharacteristic
307C22×D11—22no—
308C22×D11—24no—
309C22×D11—81no—
310C22×D11—81no—
311Q8×C11—22no—
312Q8×C11—22no—
313Q8×C11—22no—
314Q8×C11—22no—
315Q8×C11—42no—
316Q8×C11—42no—
317Q8×C11—42no—
318D4×C11—22no—
319D4×C11—22no—
320D4×C11—42no—
321D4×C11—44no—
322D4×C11—81no—
323C2×C4×C11—22no—
324C2×C4×C11—22no—
325C2×C4×C11—22no—
326C2×C4×C11—41no—
327C2×C4×C11—41no—
328C2×C4×C11—42no—
329C2×C4×C11—44no—
330C2×C4×C11—84no—
331C2×C4×C11—81no—
332C2×C4×C11C22×D411yescharacteristic
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11C22×D414yes—
335C2×C4×C11C22×D414yes—
336C2×C4×C11C22×D411yescharacteristic
337C2×C4×C11C22×D411yescharacteristic
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C2×#4112yes—
340C2×C4×C112−1+412yes—
341C2×C4×C11C2511yescharacteristic
342C2×Dic11—22no—
343C2×Dic11—22no—
344C2×Dic11—22no—
345C2×Dic11—81no—
346D44—24no—
347D44—22no—
348D44C2×#4114yes—
349C4×D11—44no—
350C4×D11—84no—
351C4×D11—82no—
352C4×D11—84no—
353Dic22—42no—
354Dic22—81no—
355Dic22—84no—
356C11⋊C8—22no—
357C11⋊C8—24no—
358C11⋊C8—22no—
359C2×AGL(1,ℤ/8)—112no—
360C22×SD16—111no—
361#559C2×D1112yescomplemented
362#557C2×D1112yescomplemented
363#556—21no—
364#556C2×D1114yescomplemented
365#554—21no—
366#554—114no—
367#554—112no—
368#554—221no—
369#554—222no—
370#552—22no—
371D4×Q8—112no—
372D4×Q8—221no—
373#544—112no—
374#543—222no—
375#539—22no—
376#536C2×D1112yes—
377#533—111no—
378#533C2×D1111yescharacteristic
379#532C2×D1111yescharacteristic
380#529—22no—
381C2×C22⋊Q8—222no—
382#520C2×D1112yes—
383#518—112no—
384C2×C4×Q8C2×D1111yescharacteristic
385C2×C4×D4—111no—
386#491—112no—
387#491—114no—
388#490—112no—
389#489—112no—
390#489—114no—
391#489—112no—
392#488—114no—
393#487—114no—
394#479—114no—
395#479—114no—
396#478—114no—
397#477—112no—
398#477—114no—
399#475—112no—
400#474—114no—
401#463—114no—
402#463—114no—
403#463—114no—
404#461—114no—
405#461—112no—
406#461—114no—
407#459—112no—
408#446—114no—
409#446—114no—
410#442—114no—
411#440—114no—
412#440—114no—
413#440—114no—
414C4×SD16—114no—
415C4×D8—114no—
416#428—112no—
417C2×#107—111no—
418#424—112no—
419#423—111no—
420#419—112no—
421#417—112no—
422#416—112no—
423#416—112no—
424C2×#103—111no—
425C2×#102—111no—
426#405—112no—
427C2×#97—111no—
428C22×C11—21no—
429C22×C11—21no—
430C22×C11—42no—
431C22×C11—42no—
432C22×C11—42no—
433C22×C11#54812yes—
434C22×C11C23×D411yescharacteristic
435C2×D11—24no—
436C2×D11—42no—
437C2×D11—42no—
438C2×D11—84no—
439C4×C11—21no—
440C4×C11—21no—
441C4×C11—24no—
442C4×C11—21no—
443C4×C11—21no—
444C4×C11—24no—
445C4×C11—42no—
446C4×C11—42no—
447C4×C11—42no—
448C4×C11#54812yes—
449C4×C11C22×#4111yescharacteristic
450C4×C11C2×2−1+411yescharacteristic
451Dic11—42no—
452Dic11—42no—
453Dic11—42no—
454C2×#41C22×D1112yes—
455C22×Q8—222no—
456C22×Q8C22×D1111yescharacteristic
457C22×D4—111no—
458C23×C4—221no—
459AGL(1,ℤ/8)—228no—
460C2×SD16—114no—
461C2×SD16—114no—
462C2×SD16—224no—
463C2×D8—114no—
464C2×M16—112no—
465C22×C8—111no—
466C22×C8—111no—
467C4⋊Q8—111no—
468C4⋊Q8—111no—
469C4⋊Q8—114no—
470C4⋊Q8—222no—
471C4⋊Q8C22⋊D1111yescharacteristic
472C4⋊Q8C22⋊D1111yescharacteristic
473C4⋊Q8C22×D1111yescharacteristic
474C4⋊Q8C22×D1114yes—
475#127C22×D1111yescharacteristic
476#126—24no—
477#126—24no—
478#125—22no—
479#125—24no—
480#125—112no—
481#125—114no—
482#125—222no—
483#125C22⋊D1112yes—
484#124—22no—
485#124C22×D1112yes—
486#124C22×D1114yes—
487#123—24no—
488#123—24no—
489C22⋊Q8—24no—
490C22⋊Q8—22no—
491C22⋊Q8—22no—
492C22⋊Q8—222no—
493C22⋊Q8—224no—
494C22⋊Q8—221no—
495C22⋊Q8—221no—
496C22⋊Q8—222no—
497C22⋊Q8—224no—
498C22⋊Q8—224no—
499C22⋊Q8—224no—
500C22⋊Q8—224no—
501C22⋊Q8—224no—
502C22⋊Q8C22⋊D1112yes—
503C22⋊Q8C22⋊D1112yes—
504#121—21no—
505#121—21no—
506C4×Q8—22no—
507C4×Q8—21no—
508C4×Q8—21no—
509C4×Q8—221no—
510C4×Q8—221no—
511C4×Q8C22×D1112yes—
512C4×Q8C22×D1112yes—
513C4×Q8C22×D1114yes—
514C4×Q8C22×D1112yes—
515C4×Q8C22×D1112yes—
516C4×D4—22no—
517C4×D4—24no—
518C4×D4—21no—
519C4×D4—21no—
520C4×D4—112no—
521C4×D4—112no—
522C4×D4—114no—
523C4×D4—114no—
524C4×D4—222no—
525C4×D4—222no—
526C4×D4—221no—
527C4×D4—221no—
528C4×D4C22×D1114yes—
529#117—22no—
530#117—24no—
531#117—112no—
532#117C22×D1112yes—
533C2×C4⋊C4—21no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—111no—
536C2×C4⋊C4—224no—
537C2×C4⋊C4—222no—
538C2×C4⋊C4C22×D1111yescharacteristic
539C2×C22⋊C4—221no—
540C2×C22⋊C4—224no—
541C2×C42—21no—
542C2×C42C22×D1111yescharacteristic
543#107—114no—
544#107—114no—
545#106—114no—
546C4⋊C8—112no—
547C4⋊C8—112no—
548C4⋊C8—114no—
549C4⋊C8—114no—
550#103—114no—
551#103—112no—
552#103—112no—
553#103—112no—
554#103—112no—
555#103—114no—
556#103—114no—
557#103—114no—
558#102—112no—
559#102—112no—
560#102—112no—
561#102—112no—
562#102—114no—
563#102—114no—
564#97—112no—
565#97—112no—
566#97—114no—
567C4×C8—114no—
568C2×C11—22no—
569C2×C11—82no—
570C2×C11C2×#54811yescharacteristic
571C2×C11#358511yescharacteristic
572C2×C11#358611yescharacteristic
573D11—44no—
574C24—221no—
575#41—24no—
576#41—24no—
577C2×Q8—21no—
578C2×Q8—22no—
579C2×Q8—22no—
580C2×Q8—221no—
581C2×Q8—221no—
582C2×Q8—224no—
583C2×Q8—884no—
584C2×Q8C2×C22⋊D1112yes—
585C2×Q8C2×C22⋊D1112yes—
586C2×Q8C23×D1112yes—
587C2×Q8C23×D1112yes—
588C2×D4—22no—
589C2×D4—21no—
590C2×D4—21no—
591C2×D4—114no—
592C2×D4—112no—
593C2×D4—222no—
594C2×D4—221no—
595C2×D4C23×D1112yes—
596C22×C4—21no—
597C22×C4—21no—
598C22×C4—22no—
599C22×C4—24no—
600C22×C4—221no—
601C22×C4—222no—
602C22×C4—224no—
603C22×C4—224no—
604C22×C4—222no—
605C22×C4—882no—
606C22×C4C2×C22⋊D1111yescharacteristic
607C22×C4C2×C22⋊D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609SD16—228no—
610SD16—228no—
611D8—228no—
612M16—224no—
613C2×C8—112no—
614C2×C8—114no—
615C2×C8—112no—
616C2×C8—222no—
617C2×C8—222no—
618C4⋊C4—21no—
619C4⋊C4—24no—
620C4⋊C4—22no—
621C4⋊C4—22no—
622C4⋊C4—24no—
623C4⋊C4—21no—
624C4⋊C4—21no—
625C4⋊C4—24no—
626C4⋊C4—112no—
627C4⋊C4—112no—
628C4⋊C4—112no—
629C4⋊C4—221no—
630C4⋊C4—222no—
631C4⋊C4—221no—
632C4⋊C4—224no—
633C4⋊C4—224no—
634C4⋊C4—224no—
635C4⋊C4—222no—
636C4⋊C4—221no—
637C4⋊C4C2×C22⋊D1112yes—
638C4⋊C4C2×C22⋊D1114yes—
639C4⋊C4C2×C22⋊D1112yes—
640C4⋊C4C2×C22⋊D1112yes—
641C4⋊C4C2×C22⋊D1114yes—
642C4⋊C4C2×C22⋊D1112yes—
643C4⋊C4C23×D1112yes—
644C22⋊C4—22no—
645C22⋊C4—24no—
646C22⋊C4—24no—
647C22⋊C4—22no—
648C22⋊C4—24no—
649C22⋊C4—222no—
650C22⋊C4—224no—
651C22⋊C4—224no—
652C22⋊C4—222no—
653C22⋊C4—222no—
654C22⋊C4C2×C22⋊D1114yes—
655C42—22no—
656C42—22no—
657C42—24no—
658C42—222no—
659C42C2×C22⋊D1111yescharacteristic
660C42C2×C22⋊D1111yescharacteristic
661C42C23×D1114yes—
662C42C23×D1111yescharacteristic
663C42C23×D1111yescharacteristic
664C11#6133311yescharacteristic, complemented, Sylow
665C23—22no—
666C23—222no—
667C23—224no—
668C23—881no—
669C23—881no—
670C23C22×C22⋊D1111yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—22no—
674Q8—22no—
675Q8—42no—
676Q8—42no—
677Q8—42no—
678Q8—442no—
679Q8—884no—
680Q8—881no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—44no—
685D4—81no—
686D4—114no—
687D4—224no—
688D4—222no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—84no—
697C2×C4—81no—
698C2×C4—222no—
699C2×C4—222no—
700C2×C4—222no—
701C2×C4—444no—
702C2×C4—882no—
703C2×C4—884no—
704C2×C4—884no—
705C2×C4—881no—
706C2×C4#41×D1112yes—
707C2×C4#6704312yes—
708C2×C4C22×C22⋊D1111yescharacteristic
709C2×C4C22×C22⋊D1111yescharacteristic
710C2×C4C22×C22⋊D1114yes—
711C2×C4C22×C22⋊D1111yescharacteristic
712C2×C4C22×C22⋊D1111yescharacteristic
713C2×C4C22×C22⋊D1114yes—
714C2×C4C22×C22⋊D1111yescharacteristic
715C2×C4C24×D1111yescharacteristic
716C8—222no—
717C8—224no—
718C8—222no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—224no—
725C22—442no—
726C22—442no—
727C22—884no—
728C22#1062336212yes—
729C22C23×C22⋊D1111yescharacteristic
730C4—21no—
731C4—21no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—442no—
740C4—442no—
741C4—442no—
742C4#1062336212yes—
743C4C2×#41×D1111yescharacteristic
744C4C2×#6704311yescharacteristic
745C2—22no—
746C2—82no—
747C2—444no—
748C2C2×#1062336211yescharacteristic
749C2#1308339511yescharacteristic
750C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3507C2
socleC22×C11C23×D4
prime radical#13078076C2
hypercenter#3507D11
hypocenterC11#61333
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3507

Complements

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

NH ≅ G/Ntype
1. #13082417C2semidirect
2. #13081437C2semidirect
3. #13081393C2semidirect
4. #13081363C2semidirect
5. #13081330C2semidirect
6. #13078981C2semidirect
7. #13078961C2semidirect
8. #13078467C2semidirect
9. #13078421C2semidirect
10. #13078124C2semidirect
12. #13077557C2semidirect
13. #13077444C2semidirect
14. C2×#10622639C2semidirect
15. C11×#3507C2semidirect
16. C11×#559C22semidirect
17. C11×#557C22semidirect
19. C11×#556C22semidirect
51. #10622695C22semidirect
52. #10622695C22semidirect
53. #10622694C22semidirect
55. #10622684C22semidirect
59. #10622669C22semidirect
60. #10622668C22semidirect
61. #10622668C22semidirect
62. #10622668C22semidirect
67. #10622637C22semidirect
68. #10622637C22semidirect
69. #10622635C22semidirect
70. #10622635C22semidirect
71. #10622634C22semidirect
72. #10622634C22semidirect
73. #10622633C22semidirect
76. #10622622C22semidirect
77. #10622620C22semidirect
290. #3507D11semidirect
361. #559C2×D11semidirect
362. #557C2×D11semidirect
364. #556C2×D11semidirect
664. C11#61333semidirect

Maximal subgroups

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

subgroupindex
#130824172
#130814372
#130813932
#130813632
#130813302
#130789812
#130789612
#130784672
#130784212
#130781242
#130780762
#130775572
#130774442
C2×#106226392
C11×#35072
#6133311