Finite Group Databasebeta

← #15633886

Subgroups — #15633886

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#13082465C211yesmaximal, characteristic
2#13082421C211yesmaximal, characteristic, complemented
3#13081453C214yesmaximal, complemented
4#13081427C214yesmaximal, complemented
5#13081383C214yesmaximal, complemented
6#13081342C214yesmaximal, complemented
7#13078974C212yesmaximal, complemented
8#13078465C212yesmaximal, complemented
9#13078409C211yesmaximal, characteristic, complemented
10#13078140C212yesmaximal, complemented
11#13078084C211yesmaximal, characteristic, complemented
12#13077556C211yesmaximal, characteristic, complemented
13#13077462C212yesmaximal, complemented
14C2×#10622323C211yesmaximal, characteristic, complemented
15C11×#3135C211yesmaximal, characteristic, complemented
16C11×#533C2211yescharacteristic
17C11×#532C2211yescharacteristic
18#10623361C2212yes—
19#10623358C2212yes—
20C2×#67004C2212yes—
21C22×#4314C2211yescharacteristic
22#10623263C2212yes—
23#10623253C2212yescomplemented
24#10623252C2212yescomplemented
25#10623249C2212yes—
26#10623216C2214yescomplemented
27#10623212C2214yes—
28#10623154—22no—
29#10623153—22no—
30#10623148—22no—
31#10623137—22no—
32#10623098—22no—
33#10623098—21no—
34Q8×Dic22—21no—
35#10623096—22no—
36#10623094—21no—
37#10623086—21no—
38#10623050C2212yes—
39#10623047C2212yes—
40C2×C4×D44C2211yescharacteristic
41#10623001C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C11×#491C2212yescomplemented
44C11×#490C2212yescomplemented
45C11×#489C2212yescomplemented
46C11×#489C2212yescomplemented
47C11×#416C2212yes—
48C11×#416C2212yes—
49C2×C11×#97C2211yescharacteristic
50#10622845C2212yes—
51C2×#66885C2211yescharacteristic
52C2×#66882C2211yescharacteristic
53C2×#66880C2211yescharacteristic
54#10622715C2212yes—
55#10622714C2212yes—
56#10622703C2212yescomplemented
57#10622700C2212yes—
58#10622697C2212yes—
59#10622688C2212yescomplemented
60#10622679C2214yes—
61#10622667C2214yescomplemented
62#10622614C2212yes—
63#10622608C2212yes—
64#10622537C2211yescharacteristic
65#10622413C2214yes—
66#10622411C2214yes—
67#10622411C2214yes—
68#10622409C2214yescomplemented
69#10622408C2214yes—
70#10622407C2214yescomplemented
71#10622403C2214yescomplemented
72#10622402C2214yescomplemented
73#10622379C2214yescomplemented
74#10622377C2214yes—
75#10622375C2214yes—
76#10622375C2214yes—
77#10622373C2214yes—
78#10622372C2214yescomplemented
79#10622371C2214yescomplemented
80#10622370C2214yescomplemented
81#10622323C2214yes—
82#10622323C2214yes—
83#10622314C2214yescomplemented
84#10622314C2214yescomplemented
85C2×C11×#41C2312yes—
86C2×#4341—22no—
87C22×D44C2311yescharacteristic
88C22×C4×D11—21no—
89C22×Dic22C2311yescharacteristic
90C22×C8×C11C2311yescharacteristic
91C22×C8×C11C2311yescharacteristic
92C11×C4⋊Q8C2311yescharacteristic
93C11×C4⋊Q8C2311yescharacteristic
94C11×C4⋊Q8C2311yescharacteristic
95C11×#127C2311yescharacteristic
96C11×#125C2312yes—
97C11×#124C2312yes—
98C11×C22⋊Q8—21no—
99C11×C22⋊Q8—21no—
100C11×#121—21no—
101C11×#121—21no—
102C4×Q8×C11—21no—
103C4×Q8×C11—21no—
104C4×D4×C11—21no—
105C4×D4×C11—21no—
106C11×#117C2312yes—
107C2×C42×C11C2311yescharacteristic
108#67004—28no—
109#67000C2314yes—
110Q8×Dic11—22no—
111Q8×Dic11C2314yes—
112#66997—22no—
113#66997—24no—
114C2×#4326C2314yes—
115#66993C2314yes—
116#66992—24no—
117#66991—22no—
118#66990—24no—
119D4×Dic11—24no—
120D4×Dic11C2314yes—
121C2×#4324C2314yes—
122#66983—22no—
123#66983—22no—
124C2×(C2×D11)⋊C4—21no—
125#66979—22no—
126#66979C2312yes—
127C2×C4⋊Dic11—22no—
128C2×C4⋊Dic11C2311yescharacteristic
129C2×C4⋊Dic11C2311yescharacteristic
130#66977D412yes—
131#66977D412yes—
132C2×Dic11⋊C4—21no—
133C2×C4×Dic11—21no—
134C2×#4318C2312yes—
135C2×#4314—24no—
136C2×#4314C2314yes—
137#66951—24no—
138#66950—22no—
139#66945—22no—
140#66943C2314yes—
141#66942—24no—
142#66942—24no—
143#66942—24no—
144#66941—24no—
145#66941—22no—
146#66941C2314yes—
147#66940—22no—
148#66940—24no—
149#66940C2314yes—
150#66940C2314yes—
151#66939—24no—
152#66938—24no—
153#66936—24no—
154(C22⋊D11)⋊C4—24no—
155#66931—24no—
156#66930—24no—
157C4×D44—21no—
158C4×D44—21no—
159C4×D44C2312yes—
160C4×D44C2312yes—
161#66923—22no—
162#66923D412yes—
163#66922—22no—
164#66922D411yescharacteristic
165#66922D411yescharacteristic
166C4×Dic22—21no—
167C4×Dic22—21no—
168C4×Dic22—22no—
169C4×Dic22—22no—
170C4×Dic22C2312yes—
171C4×Dic22C2312yes—
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#66882C2314yes—
188#66880C2314yes—
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#61334—111nomaximal, Sylow
200C23×D11—21no—
201C11×#41—24no—
202C11×#41—24no—
203C2×Q8×C11—21no—
204C2×Q8×C11—21no—
205C2×Q8×C11C2412yes—
206C2×D4×C11—22no—
207C2×D4×C11—21no—
208C2×D4×C11—21no—
209C2×D4×C11C2412yes—
210C22×C4×C11—22no—
211C22×C4×C11C2×D411yescharacteristic
212C22×C4×C11C2×D411yescharacteristic
213C22×C4×C11C2411yescharacteristic
214C2×C22⋊D11—24no—
215C2×C22⋊D11—24no—
216C22×Dic11—24no—
217C22×Dic11—21no—
218C22×Dic11—21no—
219C22×Dic11—21no—
220#4341—84no—
221C2×D44—21no—
222C2×D44—22no—
223C2×D44—22no—
224C2×D44C2412yes—
225C2×C4×D11—22no—
226C2×C4×D11—22no—
227C2×C4×D11—82no—
228C2×Dic22—24no—
229C2×Dic22—21no—
230C2×Dic22—22no—
231C2×Dic22C2×D412yes—
232C2×Dic22C2×D412yes—
233C2×Dic22#4114yescomplemented
234C2×Dic22C2412yes—
235C2×C8×C11—22no—
236C2×C8×C11—22no—
237C2×C8×C11C2412yes—
238C2×C8×C11C2412yes—
239C11×C4⋊C4—21no—
240C11×C4⋊C4—22no—
241C11×C4⋊C4—22no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—21no—
245C11×C4⋊C4C2412yes—
246C11×C4⋊C4C2412yes—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—22no—
249C11×C22⋊C4—22no—
250C42×C11—22no—
251C42×C11C2×D411yescharacteristic
252C42×C11C2×D411yescharacteristic
253C42×C11C2411yescharacteristic
254C42×C11C2411yescharacteristic
255C22⋊Dic11—24no—
256C22⋊Dic11C2×D414yes—
257#4326—28no—
258#4324—28no—
259(C2×D11)⋊C4—24no—
260(C2×D11)⋊C4—24no—
261(C2×D11)⋊C4—22no—
262(C2×D11)⋊C4—22no—
263C4⋊Dic11—24no—
264C4⋊Dic11—24no—
265C4⋊Dic11—21no—
266C4⋊Dic11—21no—
267C4⋊Dic11C2×D412yes—
268C4⋊Dic11C2×D412yes—
269C4⋊Dic11C2×D412yes—
270C4⋊Dic11C2×D412yes—
271C4⋊Dic11C2412yes—
272C4⋊Dic11C2412yes—
273Dic11⋊C4—24no—
274Dic11⋊C4—24no—
275Dic11⋊C4—24no—
276Dic11⋊C4—24no—
277Dic11⋊C4—22no—
278Dic11⋊C4—22no—
279Dic11⋊C4C2×D414yes—
280Dic11⋊C4C2×D414yes—
281C4×Dic11—24no—
282C4×Dic11—24no—
283C4×Dic11—24no—
284C4×Dic11—22no—
285C4×Dic11—22no—
286C4×Dic11C2414yes—
287#4318—24no—
288C2×C11⋊C8C2414yes—
289#4314—28no—
290#3506—111no—
291#3502—111no—
292#3377—114no—
293#3375—114no—
294#3371—114no—
295#3368—114no—
296#3136—112no—
297#3135D1111yescharacteristic, complemented
298#3083—112no—
299#3077—111no—
300#3043—112no—
301#3037—111no—
302#2961—111no—
303#2947—112no—
304C2×#440—111no—
305C23×C11—22no—
306C23×C11C22×D411yescharacteristic
307C22×D11—22no—
308C22×D11—42no—
309C22×D11—81no—
310C22×D11—81no—
311Q8×C11—22no—
312Q8×C11—22no—
313Q8×C11—42no—
314Q8×C11—81no—
315D4×C11—22no—
316D4×C11—22no—
317D4×C11—42no—
318D4×C11—44no—
319D4×C11—81no—
320C2×C4×C11—22no—
321C2×C4×C11—22no—
322C2×C4×C11—22no—
323C2×C4×C11—41no—
324C2×C4×C11—41no—
325C2×C4×C11—44no—
326C2×C4×C11C22×D411yescharacteristic
327C2×C4×C11C22×D411yescharacteristic
328C2×C4×C11C22×D411yescharacteristic
329C2×C4×C11C22×D411yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C2×#4112yes—
332C2×C4×C112−1+412yes—
333C2×C4×C11C2511yescharacteristic
334C22⋊D11—84no—
335C22⋊D11—84no—
336C2×Dic11—24no—
337C2×Dic11—22no—
338C2×Dic11—22no—
339C2×Dic11—22no—
340C2×Dic11—84no—
341C2×Dic11—81no—
342C2×Dic11—81no—
343C2×Dic11C22×D414yes—
344C2×Dic11C22×D414yes—
345D44—22no—
346D44—22no—
347D44—42no—
348C4×D11—44no—
349C4×D11—82no—
350Dic22—24no—
351Dic22—22no—
352Dic22—42no—
353Dic22—42no—
354Dic22—84no—
355Dic22C2×#4114yes—
356C8×C11—22no—
357C8×C11—22no—
358C11⋊C8—24no—
359C2×#137—112no—
360C22×SD16—111no—
361#559—114no—
362Q82—112no—
363Q82—221no—
364#557—112no—
365#557—114no—
366#557—222no—
367#557—221no—
368#556—112no—
369#555—221no—
370#553—222no—
371#550—112no—
372#547—221no—
373#544—112no—
374#544—222no—
375#538—222no—
376#535—112no—
377#533—111no—
378#533—222no—
379#533C2×D1111yescharacteristic
380#532C2×D1111yescharacteristic
381#525—222no—
382#520—112no—
383#519—112no—
384C2×C4×Q8—111no—
385C2×C4×D4—111no—
386#491C2×D1112yescomplemented
387#490—114no—
388#490C2×D1112yescomplemented
389#489—114no—
390#489C2×D1112yescomplemented
391#489C2×D1112yescomplemented
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#416C2×D1112yes—
423#416C2×D1112yes—
424C2×#103—111no—
425C2×#102—111no—
426#405—112no—
427C2×#97C2×D1111yescharacteristic
428C22×C11—21no—
429C22×C11—21no—
430C22×C11—42no—
431C22×C11—42no—
432C22×C11—42no—
433C22×C11#54812yes—
434C22×C11C23×D411yescharacteristic
435C2×D11—42no—
436C2×D11—42no—
437C2×D11—42no—
438C2×D11—84no—
439C4×C11—21no—
440C4×C11—21no—
441C4×C11—21no—
442C4×C11—21no—
443C4×C11—42no—
444C4×C11—42no—
445C4×C11—42no—
446C4×C11#54812yes—
447C4×C11C22×#4111yescharacteristic
448C4×C11C2×2−1+411yescharacteristic
449Dic11—24no—
450Dic11—24no—
451Dic11—24no—
452Dic11—42no—
453Dic11—42no—
454C2×#41—222no—
455C2×#41C22×D1112yes—
456C22×Q8—111no—
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×C8C22×D1111yescharacteristic
466C22×C8C22×D1111yescharacteristic
467C4⋊Q8—114no—
468C4⋊Q8—111no—
469C4⋊Q8—111no—
470C4⋊Q8—222no—
471C4⋊Q8—222no—
472C4⋊Q8—224no—
473C4⋊Q8—224no—
474C4⋊Q8—222no—
475C4⋊Q8C22×D1111yescharacteristic
476C4⋊Q8C22×D1111yescharacteristic
477C4⋊Q8C22×D1111yescharacteristic
478#127—114no—
479#127C22×D1111yescharacteristic
480#126—224no—
481#125—114no—
482#125—112no—
483#125—222no—
484#125—224no—
485#125—224no—
486#125—224no—
487#125C22×D1112yes—
488#124—114no—
489#124—224no—
490#124C22×D1112yes—
491#123—224no—
492#123—224no—
493C22⋊Q8—21no—
494C22⋊Q8—21no—
495C22⋊Q8—112no—
496C22⋊Q8—112no—
497C22⋊Q8—224no—
498C22⋊Q8—222no—
499#121—21no—
500#121—21no—
501#121—222no—
502#121—222no—
503#121—222no—
504#121—224no—
505#120—224no—
506C4×Q8—21no—
507C4×Q8—21no—
508C4×Q8—112no—
509C4×Q8—112no—
510C4×Q8—114no—
511C4×Q8—114no—
512C4×Q8—114no—
513C4×Q8—112no—
514C4×Q8—112no—
515C4×Q8—222no—
516C4×Q8—222no—
517C4×Q8—224no—
518C4×Q8—222no—
519C4×Q8—222no—
520C4×Q8—221no—
521C4×Q8—221no—
522C4×D4—21no—
523C4×D4—21no—
524C4×D4—114no—
525C4×D4—112no—
526C4×D4—112no—
527C4×D4—224no—
528C4×D4—224no—
529C4×D4—221no—
530C4×D4—221no—
531#117—112no—
532#117—224no—
533#117—222no—
534#117—222no—
535#117C22×D1112yes—
536C2×C4⋊C4—111no—
537C2×C4⋊C4—111no—
538C2×C4⋊C4—222no—
539C2×C4⋊C4—221no—
540C2×C22⋊C4—221no—
541C2×C42—221no—
542C2×C42C22×D1111yescharacteristic
543#107—114no—
544#107—114no—
545#106—114no—
546C4⋊C8—114no—
547C4⋊C8—114no—
548C4⋊C8—112no—
549C4⋊C8—112no—
550#103—114no—
551#103—114no—
552#103C22×D1112yes—
553#103C22×D1112yes—
554#103C22×D1112yes—
555#103C22×D1112yes—
556#102—114no—
557#102—114no—
558#102—114no—
559#102—114no—
560#102C22×D1112yes—
561#102C22×D1112yes—
562#102C22×D1112yes—
563#102C22×D1112yes—
564#97—114no—
565#97C22×D1112yes—
566#97C22×D1112yes—
567C4×C8—114no—
568C2×C11—22no—
569C2×C11—82no—
570C2×C11C2×#54811yescharacteristic
571C2×C11#358511yescharacteristic
572C2×C11#358611yescharacteristic
573D11—82no—
574C24—221no—
575#41—24no—
576#41—24no—
577#41—884no—
578C2×Q8—21no—
579C2×Q8—21no—
580C2×Q8—112no—
581C2×Q8—112no—
582C2×Q8—114no—
583C2×Q8—112no—
584C2×Q8—224no—
585C2×Q8—221no—
586C2×Q8—222no—
587C2×Q8C23×D1112yes—
588C2×D4—22no—
589C2×D4—21no—
590C2×D4—21no—
591C2×D4—112no—
592C2×D4—224no—
593C2×D4—224no—
594C2×D4—221no—
595C2×D4—222no—
596C2×D4—222no—
597C2×D4C23×D1112yes—
598C22×C4—22no—
599C22×C4—224no—
600C22×C4—221no—
601C22×C4—221no—
602C22×C4—221no—
603C22×C4—222no—
604C22×C4—222no—
605C22×C4—882no—
606C22×C4D4×D1111yescharacteristic
607C22×C4D4×D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609Q16—228no—
610SD16—228no—
611SD16—228no—
612M16—224no—
613C2×C8—22no—
614C2×C8—22no—
615C2×C8—114no—
616C2×C8C23×D1112yes—
617C2×C8C23×D1112yes—
618C4⋊C4—21no—
619C4⋊C4—21no—
620C4⋊C4—22no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—22no—
624C4⋊C4—112no—
625C4⋊C4—112no—
626C4⋊C4—112no—
627C4⋊C4—114no—
628C4⋊C4—114no—
629C4⋊C4—112no—
630C4⋊C4—112no—
631C4⋊C4—112no—
632C4⋊C4—224no—
633C4⋊C4—224no—
634C4⋊C4—224no—
635C4⋊C4—224no—
636C4⋊C4—224no—
637C4⋊C4—224no—
638C4⋊C4—221no—
639C4⋊C4—221no—
640C4⋊C4—222no—
641C4⋊C4—222no—
642C4⋊C4C23×D1112yes—
643C4⋊C4C23×D1112yes—
644C22⋊C4—22no—
645C22⋊C4—22no—
646C22⋊C4—22no—
647C22⋊C4—114no—
648C22⋊C4—224no—
649C22⋊C4—224no—
650C22⋊C4—224no—
651C22⋊C4—222no—
652C22⋊C4—222no—
653C42—22no—
654C42—114no—
655C42—224no—
656C42—224no—
657C42—224no—
658C42—222no—
659C42—222no—
660C42D4×D1111yescharacteristic
661C42D4×D1111yescharacteristic
662C42C23×D1111yescharacteristic
663C42C23×D1111yescharacteristic
664C11#6133411yescharacteristic, complemented, Sylow
665C23—22no—
666C23—222no—
667C23—442no—
668C23—881no—
669C23—881no—
670C23C2×D4×D1111yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—42no—
674Q8—81no—
675Q8—114no—
676Q8—222no—
677Q8—224no—
678Q8—442no—
679Q8—442no—
680Q8—884no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—44no—
685D4—81no—
686D4—222no—
687D4—222no—
688D4—442no—
689D4—884no—
690D4—884no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—44no—
697C2×C4—114no—
698C2×C4—114no—
699C2×C4—222no—
700C2×C4—224no—
701C2×C4—222no—
702C2×C4—222no—
703C2×C4—444no—
704C2×C4—882no—
705C2×C4—884no—
706C2×C4—881no—
707C2×C4—881no—
708C2×C4C2×D4×D1111yescharacteristic
709C2×C4C2×D4×D1111yescharacteristic
710C2×C4C2×D4×D1111yescharacteristic
711C2×C4C2×D4×D1111yescharacteristic
712C2×C4C2×D4×D1111yescharacteristic
713C2×C4#41×D1112yes—
714C2×C4#6704312yes—
715C2×C4C24×D1111yescharacteristic
716C8—22no—
717C8—22no—
718C8—224no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—442no—
725C22—442no—
726C22—442no—
727C22—884no—
728C22#1062320812yes—
729C22C22×D4×D1111yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—224no—
738C4—224no—
739C4—224no—
740C4—442no—
741C4—442no—
742C4#1062320812yes—
743C4C2×#41×D1111yescharacteristic
744C4C2×#6704311yescharacteristic
745C2—22no—
746C2—82no—
747C2—882no—
748C2C2×#1062320811yescharacteristic
749C2#1308339311yescharacteristic
750C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3135C2
socleC22×C11C23×D4
prime radical#13082465C2
hypercenter#3135D11
hypocenterC11#61334
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
2. #13082421C2semidirect
3. #13081453C2semidirect
4. #13081427C2semidirect
5. #13081383C2semidirect
6. #13081342C2semidirect
7. #13078974C2semidirect
8. #13078465C2semidirect
9. #13078409C2semidirect
10. #13078140C2semidirect
11. #13078084C2semidirect
12. #13077556C2semidirect
13. #13077462C2semidirect
14. C2×#10622323C2semidirect
15. C11×#3135C2semidirect
23. #10623253C22semidirect
24. #10623252C22semidirect
26. #10623216C22semidirect
43. C11×#491C22semidirect
44. C11×#490C22semidirect
45. C11×#489C22semidirect
46. C11×#489C22semidirect
56. #10622703C22semidirect
59. #10622688C22semidirect
61. #10622667C22semidirect
68. #10622409C22semidirect
70. #10622407C22semidirect
71. #10622403C22semidirect
72. #10622402C22semidirect
73. #10622379C22semidirect
78. #10622372C22semidirect
79. #10622371C22semidirect
80. #10622370C22semidirect
83. #10622314C22semidirect
84. #10622314C22semidirect
233. C2×Dic22#41semidirect
297. #3135D11semidirect
386. #491C2×D11semidirect
388. #490C2×D11semidirect
390. #489C2×D11semidirect
391. #489C2×D11semidirect
664. C11#61334semidirect

Maximal subgroups

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

subgroupindex
#130824652
#130824212
#130814532
#130814272
#130813832
#130813422
#130789742
#130784652
#130784092
#130781402
#130780842
#130775562
#130774622
C2×#106223232
C11×#31352
#6133411