Finite Group Databasebeta

← #15633881

Subgroups — #15633881

Order 2816.

1794 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#13082470C211yesmaximal, characteristic
2#13081458C214yesmaximal, complemented
3#13081430C214yesmaximal, complemented
4#13081384C214yesmaximal, complemented
5#13081345C214yesmaximal, complemented
6#13078975C212yesmaximal, complemented
7#13078964C211yesmaximal, characteristic, complemented
8#13078463C212yesmaximal, complemented
9#13078409C211yesmaximal, characteristic, complemented
10#13078137C212yesmaximal, complemented
11#13078088C211yesmaximal, characteristic, complemented
12#13077557C211yesmaximal, characteristic, complemented
13#13077459C212yesmaximal, complemented
14C2×#10622639C211yesmaximal, characteristic, complemented
15C11×#3502C211yesmaximal, characteristic, complemented
16Q82×C11—21no—
17Q82×C11C2212yescomplemented
18C11×#557—21no—
19C11×#557—22no—
20C11×#557C2214yescomplemented
21C11×#557C2212yescomplemented
22C11×#544—22no—
23C11×#544C2212yes—
24C11×#533—22no—
25C11×#533C2211yescharacteristic
26C11×#533C2211yescharacteristic
27C11×#519C2212yes—
28C2×C4×Q8×C11C2211yescharacteristic
29C2×#66995C2212yes—
30C22×#4325C2211yescharacteristic
31#10623265—21no—
32#10623257—21no—
33#10623226—22no—
34#10623175—22no—
35#10623158—22no—
36#10623116C2214yes—
37#10623115C2212yes—
38#10623108C2212yes—
39#10623056C2212yes—
40#10623054C2212yes—
41#10623008C2211yescharacteristic
42C2×C4×D44C2211yescharacteristic
43C2×#66899C2211yescharacteristic
44#10622704C2214yescomplemented
45#10622702C2214yes—
46#10622702C2212yescomplemented
47#10622702C2212yescomplemented
48#10622701C2214yes—
49#10622700C2212yes—
50#10622700C2214yescomplemented
51#10622697C2212yes—
52#10622682C2212yescomplemented
53#10622681C2214yes—
54#10622680C2214yes—
55#10622680C2212yescomplemented
56#10622679C2214yes—
57#10622679C2214yescomplemented
58#10622676C2214yescomplemented
59#10622644C2212yescomplemented
60#10622643C2214yescomplemented
61C4×#4326C2214yescomplemented
62#10622641C2214yes—
63#10622641C2214yes—
64#10622641C2214yescomplemented
65#10622640C2214yes—
66#10622640C2214yes—
67#10622640C2212yescomplemented
68#10622639C2214yes—
69#10622639C2214yes—
70#10622639C2214yescomplemented
71C4×#4325C2214yescomplemented
72#10622637C2214yescomplemented
73#10622637C2214yescomplemented
74#10622615C2212yes—
75#10622615C2212yes—
76#10622614C2212yes—
77#10622612C2212yes—
78#10622610C2212yes—
79#10622608C2212yes—
80#10622579C2212yes—
81C2×#66873C2211yescharacteristic
82C2×#66871C2211yescharacteristic
83#10622537C2211yescharacteristic
84C2×#66867C2211yescharacteristic
85C22×Q8×C11C2311yescharacteristic
86C2×#4343—22no—
87C2×#4339C2312yes—
88C22×D44C2311yescharacteristic
89C22×C4×D11—21no—
90C11×C4⋊Q8—22no—
91C11×C4⋊Q8—24no—
92C11×C4⋊Q8—22no—
93C11×C4⋊Q8—24no—
94C11×C4⋊Q8—22no—
95C11×C4⋊Q8D411yescharacteristic
96C11×C4⋊Q8D411yescharacteristic
97C11×C4⋊Q8C2311yescharacteristic
98C11×C4⋊Q8C2311yescharacteristic
99C11×C4⋊Q8C2314yes—
100C11×#125—24no—
101C11×#125—24no—
102C11×#125—24no—
103C11×#125—22no—
104C11×#125D412yes—
105C11×#125C2312yes—
106C11×#125C2314yes—
107C11×C22⋊Q8—21no—
108C11×C22⋊Q8—21no—
109C11×C22⋊Q8—24no—
110C11×C22⋊Q8D412yes—
111C11×C22⋊Q8D412yes—
112C4×Q8×C11—22no—
113C4×Q8×C11—22no—
114C4×Q8×C11—22no—
115C4×Q8×C11—24no—
116C4×Q8×C11—22no—
117C4×Q8×C11—21no—
118C4×Q8×C11—21no—
119C4×Q8×C11—21no—
120C4×Q8×C11—21no—
121C4×Q8×C11C2312yes—
122C4×Q8×C11C2312yes—
123C4×Q8×C11C2314yes—
124C4×Q8×C11C2314yes—
125C4×Q8×C11C2312yes—
126C4×Q8×C11C2312yes—
127C11×#117—24no—
128C11×#117C2312yes—
129C11×#117C2312yes—
130C2×C11×C4⋊C4—21no—
131C2×C11×C4⋊C4C2311yescharacteristic
132C2×C42×C11—21no—
133C2×C42×C11C2311yescharacteristic
134#67000—24no—
135#66999—22no—
136C2×#4326C2314yes—
137#66995—28no—
138C2×#4325—24no—
139C2×#4325C2314yes—
140C2×#4325C2314yes—
141#66983—21no—
142#66983—21no—
143C2×(C2×D11)⋊C4—21no—
144C2×C4⋊Dic11C2311yescharacteristic
145C2×#4318C2312yes—
146C22×C11⋊C8C2311yescharacteristic
147C22×C11⋊C8C2311yescharacteristic
148#66951—24no—
149#66948—22no—
150#66948—22no—
151#66948—22no—
152#66948—24no—
153#66947—24no—
154#66947—24no—
155#66946—24no—
156#66945—22no—
157#66945—22no—
158C4⋊C4×D11—22no—
159#66935—24no—
160(C22⋊D11)⋊C4—24no—
161#66928C2312yes—
162#66928C2314yes—
163#66927C2311yescharacteristic
164#66927C2314yes—
165C4×D44—21no—
166C4×D44—21no—
167C4×D44—21no—
168C4×D44—21no—
169C4×D44C2312yes—
170C4×D44C2312yes—
171C4×D44C2314yes—
172#66922C2311yescharacteristic
173C4×Dic22C2314yes—
174#66899C2314yes—
175#66874C2314yes—
176#66874C2312yes—
177#66874C2312yes—
178#66874C2312yes—
179#66874C2312yes—
180#66873C2314yes—
181#66873C2314yes—
182#66873C2314yes—
183#66873C2314yes—
184#66873C2312yes—
185#66873C2312yes—
186#66873C2312yes—
187#66873C2312yes—
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#61334—111nomaximal, Sylow
200C23×D11—21no—
201C2×Q8×C11—21no—
202C2×Q8×C11—21no—
203C2×Q8×C11—21no—
204C2×Q8×C11—24no—
205C2×Q8×C11—22no—
206C2×Q8×C11C2×D412yes—
207C2×Q8×C11C2×D412yes—
208C2×Q8×C11#4114yescomplemented
209C2×Q8×C11C2412yes—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11C2×D411yescharacteristic
213C22×C4×C11C2×D411yescharacteristic
214C22×C4×C11C2411yescharacteristic
215C2×C22⋊D11—22no—
216C22×Dic11—21no—
217#4343—84no—
218#4339—24no—
219#4339—24no—
220C2×D44—21no—
221C2×D44—21no—
222C2×D44—21no—
223C2×D44—24no—
224C2×D44—24no—
225C2×D44—22no—
226C2×D44—22no—
227C2×D44C2412yes—
228C2×D44C2412yes—
229C2×C4×D11—22no—
230C2×C4×D11—22no—
231C2×C4×D11—22no—
232C2×C4×D11—24no—
233C2×C4×D11—82no—
234C2×Dic22C2412yes—
235C11×C4⋊C4—22no—
236C11×C4⋊C4—22no—
237C11×C4⋊C4—21no—
238C11×C4⋊C4—24no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—22no—
241C11×C4⋊C4—21no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—24no—
244C11×C4⋊C4—24no—
245C11×C4⋊C4—22no—
246C11×C4⋊C4—24no—
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×C4⋊C4C2412yes—
254C11×C4⋊C4C2412yes—
255C11×C4⋊C4C2412yes—
256C11×C22⋊C4—22no—
257C11×C22⋊C4C2×D414yes—
258C42×C11—22no—
259C42×C11—22no—
260C42×C11—24no—
261C42×C11—24no—
262C42×C11—22no—
263C42×C11C2×D411yescharacteristic
264C42×C11C2×D411yescharacteristic
265C42×C11C2414yes—
266C42×C11C2411yescharacteristic
267C42×C11C2411yescharacteristic
268#4326—28no—
269#4325—28no—
270#4325—28no—
271(C2×D11)⋊C4—22no—
272(C2×D11)⋊C4—22no—
273(C2×D11)⋊C4—22no—
274(C2×D11)⋊C4—22no—
275(C2×D11)⋊C4—24no—
276(C2×D11)⋊C4—24no—
277(C2×D11)⋊C4—24no—
278C4⋊Dic11—21no—
279C4⋊Dic11—21no—
280C4⋊Dic11—21no—
281C4⋊Dic11C2412yes—
282Dic11⋊C4—24no—
283C4×Dic11—24no—
284#4318—24no—
285C2×C11⋊C8—22no—
286C2×C11⋊C8—22no—
287C2×C11⋊C8C2412yes—
288C2×C11⋊C8C2414yes—
289C2×C11⋊C8C2412yes—
290#3506—111no—
291#3502D1111yescharacteristic, complemented
292#3377—114no—
293#3375—114no—
294#3371—114no—
295#3368—114no—
296#3136—112no—
297#3135—111no—
298#3083—112no—
299#3077—111no—
300#3043—112no—
301#3037—111no—
302#2961—111no—
303#2947—112no—
304C2×#440—111no—
305C23×C11C22×D411yescharacteristic
306C22×D11—22no—
307C22×D11—22no—
308C22×D11—42no—
309C22×D11—81no—
310C22×D11—81no—
311Q8×C11—24no—
312Q8×C11—22no—
313Q8×C11—42no—
314Q8×C11—42no—
315Q8×C11—42no—
316Q8×C11—81no—
317Q8×C11—84no—
318Q8×C11C2×#4114yes—
319C2×C4×C11—24no—
320C2×C4×C11—22no—
321C2×C4×C11—22no—
322C2×C4×C11—22no—
323C2×C4×C11—22no—
324C2×C4×C11—41no—
325C2×C4×C11—41no—
326C2×C4×C11—81no—
327C2×C4×C11C22×D414yes—
328C2×C4×C11C22×D414yes—
329C2×C4×C11C22×D411yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D411yescharacteristic
332C2×C4×C11C22×D411yescharacteristic
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11C2×#4112yes—
335C2×C4×C112−1+412yes—
336C2×C4×C11C2511yescharacteristic
337C22⋊D11—44no—
338C2×Dic11—22no—
339C2×Dic11—22no—
340C2×Dic11—81no—
341D44—22no—
342D44—22no—
343D44—22no—
344D44—22no—
345D44—42no—
346D44—42no—
347D44—81no—
348D44—84no—
349D44—84no—
350C4×D11—44no—
351C4×D11—44no—
352C4×D11—82no—
353C4×D11—84no—
354Dic22—22no—
355Dic22—22no—
356C11⋊C8—22no—
357C11⋊C8—24no—
358C11⋊C8—22no—
359C2×#137—112no—
360C22×SD16—111no—
361#559—114no—
362Q82—21no—
363Q82C2×D1112yescomplemented
364#557—21no—
365#557—22no—
366#557C2×D1114yescomplemented
367#557C2×D1112yescomplemented
368#556—112no—
369#555—221no—
370#553—222no—
371#550—112no—
372#547—221no—
373#544—22no—
374#544C2×D1112yes—
375#538—222no—
376#535—112no—
377#533—22no—
378#533C2×D1111yescharacteristic
379#533C2×D1111yescharacteristic
380#532—111no—
381#525—222no—
382#520—112no—
383#519C2×D1112yes—
384C2×C4×Q8C2×D1111yescharacteristic
385C2×C4×D4—111no—
386#491—112no—
387#490—112no—
388#490—114no—
389#489—112no—
390#489—112no—
391#489—114no—
392#488—114no—
393#486—114no—
394#479—114no—
395#478—114no—
396#478—114no—
397#477—114no—
398#476—112no—
399#474—112no—
400#474—114no—
401#464—114no—
402#464—114no—
403#464—114no—
404#462—112no—
405#460—112no—
406#460—114no—
407#460—114no—
408#446—114no—
409#446—114no—
410#441—114no—
411#440—114no—
412#440—114no—
413#440—114no—
414C4×Q16—114no—
415C4×SD16—114no—
416#428—112no—
417C2×#107—111no—
418#424—112no—
419#423—111no—
420#418—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#54812yes—
431C22×C11C23×D411yescharacteristic
432C2×D11—42no—
433C2×D11—42no—
434C2×D11—42no—
435C2×D11—42no—
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—24no—
446C4×C11—42no—
447C4×C11—42no—
448C4×C11—42no—
449C4×C11#54812yes—
450C4×C11C22×#4111yescharacteristic
451C4×C11C2×2−1+411yescharacteristic
452Dic11—42no—
453Dic11—42no—
454C2×#41—112no—
455C2×#41—222no—
456C22×Q8C22×D1111yescharacteristic
457C22×D4—111no—
458C23×C4—221no—
459#137—228no—
460C2×Q16—114no—
461C2×SD16—114no—
462C2×SD16—114no—
463C2×SD16—224no—
464C2×M16—112no—
465C22×C8—111no—
466C22×C8—111no—
467C4⋊Q8—22no—
468C4⋊Q8—24no—
469C4⋊Q8—22no—
470C4⋊Q8—24no—
471C4⋊Q8—22no—
472C4⋊Q8—111no—
473C4⋊Q8C22⋊D1111yescharacteristic
474C4⋊Q8C22⋊D1111yescharacteristic
475C4⋊Q8C22×D1111yescharacteristic
476C4⋊Q8C22×D1111yescharacteristic
477C4⋊Q8C22×D1114yes—
478#127—111no—
479#127—114no—
480#126—224no—
481#125—24no—
482#125—24no—
483#125—24no—
484#125—22no—
485#125C22⋊D1112yes—
486#125C22×D1112yes—
487#125C22×D1114yes—
488#124—112no—
489#124—114no—
490#124—224no—
491#123—224no—
492#123—224no—
493C22⋊Q8—21no—
494C22⋊Q8—21no—
495C22⋊Q8—24no—
496C22⋊Q8—222no—
497C22⋊Q8C22⋊D1112yes—
498C22⋊Q8C22⋊D1112yes—
499#121—221no—
500#121—221no—
501#121—222no—
502#121—222no—
503#121—222no—
504#121—224no—
505#120—224no—
506C4×Q8—22no—
507C4×Q8—22no—
508C4×Q8—22no—
509C4×Q8—24no—
510C4×Q8—22no—
511C4×Q8—21no—
512C4×Q8—21no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8—114no—
516C4×Q8C22×D1112yes—
517C4×Q8C22×D1112yes—
518C4×Q8C22×D1114yes—
519C4×Q8C22×D1114yes—
520C4×Q8C22×D1112yes—
521C4×Q8C22×D1112yes—
522C4×D4—112no—
523C4×D4—112no—
524C4×D4—114no—
525C4×D4—224no—
526C4×D4—224no—
527C4×D4—221no—
528C4×D4—221no—
529C4×D4—221no—
530C4×D4—221no—
531#117—24no—
532#117—222no—
533#117—222no—
534#117C22×D1112yes—
535#117C22×D1112yes—
536C2×C4⋊C4—21no—
537C2×C4⋊C4—111no—
538C2×C4⋊C4—222no—
539C2×C4⋊C4C22×D1111yescharacteristic
540C2×C22⋊C4—221no—
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#102—114no—
557#102—112no—
558#102—112no—
559#102—112no—
560#102—112no—
561#102—114no—
562#102—114no—
563#102—114no—
564#97—112no—
565#97—112no—
566#97—114no—
567C4×C8—114no—
568C2×C11—22no—
569C2×C11C2×#54811yescharacteristic
570C2×C11#358511yescharacteristic
571C2×C11#358611yescharacteristic
572D11—82no—
573D11—82no—
574C24—221no—
575#41—224no—
576#41—224no—
577#41—884no—
578C2×Q8—22no—
579C2×Q8—21no—
580C2×Q8—21no—
581C2×Q8—21no—
582C2×Q8—24no—
583C2×Q8—112no—
584C2×Q8#434314yescomplemented
585C2×Q8C2×C22⋊D1112yes—
586C2×Q8C2×C22⋊D1112yes—
587C2×Q8C23×D1112yes—
588C2×D4—112no—
589C2×D4—112no—
590C2×D4—222no—
591C2×D4—222no—
592C2×D4—222no—
593C2×D4—221no—
594C2×D4—221no—
595C2×D4—224no—
596C2×D4—221no—
597C2×D4—224no—
598C22×C4—21no—
599C22×C4—21no—
600C22×C4—221no—
601C22×C4—222no—
602C22×C4—222no—
603C22×C4—224no—
604C22×C4—222no—
605C22×C4—882no—
606C22×C4C2×C22⋊D1111yescharacteristic
607C22×C4C2×C22⋊D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609Q16—228no—
610SD16—228no—
611SD16—228no—
612M16—224no—
613C2×C8—112no—
614C2×C8—114no—
615C2×C8—112no—
616C2×C8—222no—
617C2×C8—222no—
618C4⋊C4—22no—
619C4⋊C4—22no—
620C4⋊C4—21no—
621C4⋊C4—24no—
622C4⋊C4—24no—
623C4⋊C4—22no—
624C4⋊C4—21no—
625C4⋊C4—21no—
626C4⋊C4—24no—
627C4⋊C4—24no—
628C4⋊C4—22no—
629C4⋊C4—24no—
630C4⋊C4—112no—
631C4⋊C4—221no—
632C4⋊C4—224no—
633C4⋊C4—221no—
634C4⋊C4—221no—
635C4⋊C4C2×C22⋊D1112yes—
636C4⋊C4C2×C22⋊D1112yes—
637C4⋊C4C2×C22⋊D1112yes—
638C4⋊C4C2×C22⋊D1114yes—
639C4⋊C4C2×C22⋊D1114yes—
640C4⋊C4C2×C22⋊D1112yes—
641C4⋊C4C23×D1112yes—
642C4⋊C4C23×D1112yes—
643C4⋊C4C23×D1112yes—
644C22⋊C4—22no—
645C22⋊C4—222no—
646C22⋊C4—222no—
647C22⋊C4—224no—
648C22⋊C4—224no—
649C22⋊C4—222no—
650C22⋊C4—224no—
651C22⋊C4—222no—
652C22⋊C4C2×C22⋊D1114yes—
653C42—22no—
654C42—22no—
655C42—24no—
656C42—24no—
657C42—22no—
658C42—224no—
659C42C2×C22⋊D1111yescharacteristic
660C42C2×C22⋊D1111yescharacteristic
661C42C23×D1114yes—
662C42C23×D1111yescharacteristic
663C42C23×D1111yescharacteristic
664C11#6133411yescharacteristic, complemented, Sylow
665C23—222no—
666C23—222no—
667C23—442no—
668C23—881no—
669C23—881no—
670C23C22×C22⋊D1111yescharacteristic
671Q8—24no—
672Q8—22no—
673Q8—42no—
674Q8—42no—
675Q8—42no—
676Q8—81no—
677Q8—84no—
678Q8—222no—
679Q8—222no—
680Q8C2×#434314yes—
681D4—222no—
682D4—222no—
683D4—222no—
684D4—222no—
685D4—442no—
686D4—444no—
687D4—442no—
688D4—884no—
689D4—881no—
690D4—884no—
691C2×C4—24no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—81no—
699C2×C4—222no—
700C2×C4—222no—
701C2×C4—444no—
702C2×C4—444no—
703C2×C4—882no—
704C2×C4—884no—
705C2×C4—881no—
706C2×C4C2×#434312yes—
707C2×C4#6704012yes—
708C2×C4C22×C22⋊D1111yescharacteristic
709C2×C4C22×C22⋊D1111yescharacteristic
710C2×C4C22×C22⋊D1114yes—
711C2×C4C22×C22⋊D1114yes—
712C2×C4C22×C22⋊D1111yescharacteristic
713C2×C4C22×C22⋊D1111yescharacteristic
714C2×C4C22×C22⋊D1111yescharacteristic
715C2×C4C24×D1111yescharacteristic
716C8—222no—
717C8—224no—
718C8—222no—
719C22—21no—
720C22—21no—
721C22—442no—
722C22—442no—
723C22—442no—
724C22—442no—
725C22—442no—
726C22—442no—
727C22—884no—
728C22#1062334812yes—
729C22C23×C22⋊D1111yescharacteristic
730C4—21no—
731C4—21no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—24no—
737C4—42no—
738C4—42no—
739C4—42no—
740C4—442no—
741C4—442no—
742C4#1062334812yes—
743C4C22×#434311yescharacteristic
744C4C2×#6704011yescharacteristic
745C2—22no—
746C2—882no—
747C2—882no—
748C2C2×#1062334811yescharacteristic
749C2#1308339511yescharacteristic
750C2#1308340311yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3502C2
socleC22×C11C23×D4
prime radical#13082470C2
hypercenter#3502D11
hypocenterC11#61334
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3502

Complements

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

NH ≅ G/Ntype
2. #13081458C2semidirect
3. #13081430C2semidirect
4. #13081384C2semidirect
5. #13081345C2semidirect
6. #13078975C2semidirect
7. #13078964C2semidirect
8. #13078463C2semidirect
9. #13078409C2semidirect
10. #13078137C2semidirect
11. #13078088C2semidirect
12. #13077557C2semidirect
13. #13077459C2semidirect
14. C2×#10622639C2semidirect
15. C11×#3502C2semidirect
17. Q82×C11C22semidirect
20. C11×#557C22semidirect
21. C11×#557C22semidirect
44. #10622704C22semidirect
46. #10622702C22semidirect
47. #10622702C22semidirect
50. #10622700C22semidirect
52. #10622682C22semidirect
55. #10622680C22semidirect
57. #10622679C22semidirect
58. #10622676C22semidirect
59. #10622644C22semidirect
60. #10622643C22semidirect
61. C4×#4326C22semidirect
64. #10622641C22semidirect
67. #10622640C22semidirect
70. #10622639C22semidirect
71. C4×#4325C22semidirect
72. #10622637C22semidirect
73. #10622637C22semidirect
208. C2×Q8×C11#41semidirect
291. #3502D11semidirect
363. Q82C2×D11semidirect
366. #557C2×D11semidirect
367. #557C2×D11semidirect
584. C2×Q8#4343semidirect
664. C11#61334semidirect

Maximal subgroups

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

subgroupindex
#130824702
#130814582
#130814302
#130813842
#130813452
#130789752
#130789642
#130784632
#130784092
#130781372
#130780882
#130775572
#130774592
C2×#106226392
C11×#35022
#6133411