Finite Group Databasebeta

← #15633885

Subgroups — #15633885

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#13082426C211yesmaximal, characteristic, complemented
3#13081451C214yesmaximal, complemented
4#13081425C214yesmaximal, complemented
5#13081381C214yesmaximal, complemented
6#13081340C214yesmaximal, complemented
7#13078973C212yesmaximal, complemented
8#13078961C211yesmaximal, characteristic, complemented
9#13078471C212yesmaximal, complemented
10#13078415C211yesmaximal, characteristic, complemented
11#13078139C212yesmaximal, complemented
12#13077553C211yesmaximal, characteristic, complemented
13#13077460C212yesmaximal, complemented
14C2×#10622639C211yesmaximal, characteristic, complemented
15C11×#3037C211yesmaximal, characteristic, complemented
16C2×C11×#137C2212yes—
17C11×#532C2211yescharacteristic
18C2×C4×Q8×C11C2211yescharacteristic
19#10623361C2212yes—
20#10623358C2212yes—
21#10623343C2212yes—
22C22×#4325C2211yescharacteristic
23#10623263C2212yes—
24#10623249C2212yes—
25#10623212C2214yes—
26#10623148—22no—
27#10623137—22no—
28#10623101—21no—
29#10623101C2212yescomplemented
30#10623100—22no—
31#10623100C2214yescomplemented
32Q8×Dic22—21no—
33Q8×Dic22C2212yescomplemented
34#10623096—22no—
35#10623094—21no—
36#10623086—21no—
37#10623031—22no—
38#10623031C2212yes—
39C2×C4×D44C2211yescharacteristic
40#10623001—22no—
41#10623001C2211yescharacteristic
42#10623001C2211yescharacteristic
43C11×#464C2214yescomplemented
44C11×#462C2212yescomplemented
45C11×#460C2212yescomplemented
46C11×#423C2211yescharacteristic
47C11×#417C2212yes—
48#10622846C2212yes—
49#10622846C2212yes—
50C2×#66899C2211yescharacteristic
51#10622798C2214yes—
52#10622798C2214yes—
53#10622797C2214yescomplemented
54Q16×Dic11C2214yescomplemented
55#10622777C2214yescomplemented
56#10622776C2214yes—
57#10622776C2214yes—
58SD16×Dic11C2214yescomplemented
59#10622744C2212yes—
60#10622735C2212yes—
61#10622734C2212yes—
62#10622732C2212yes—
63#10622695C2212yescomplemented
64#10622684C2212yescomplemented
65#10622668C2212yescomplemented
66#10622668C2212yescomplemented
67#10622639C2214yes—
68#10622639C2214yes—
69C2×#66873C2211yescharacteristic
70C2×#66871C2211yescharacteristic
71C2×#66867C2211yescharacteristic
72#10622460C2214yes—
73#10622459C2212yes—
74#10622455C2212yes—
75#10622441C2214yescomplemented
76#10622441C2214yescomplemented
77#10622413C2214yes—
78#10622412C2214yescomplemented
79#10622408C2214yes—
80#10622407C2214yescomplemented
81#10622377C2214yes—
82#10622376C2214yescomplemented
83#10622373C2214yes—
84#10622372C2214yescomplemented
85C2×C11×#41C2312yes—
86C22×Q8×C11C2311yescharacteristic
87C2×#4341—22no—
88C22×D44C2311yescharacteristic
89C22×C4×D11—21no—
90C11×#137—28no—
91C2×C11×Q16C2314yes—
92C2×C11×SD16C2314yes—
93C2×C11×M16C2312yes—
94C11×C4⋊Q8C2311yescharacteristic
95C11×#127C2311yescharacteristic
96C11×#124C2312yes—
97C11×#121—21no—
98C11×#121—21no—
99C4×Q8×C11—21no—
100C4×Q8×C11—21no—
101C4×Q8×C11C2312yes—
102C4×Q8×C11C2312yes—
103C4×D4×C11—21no—
104C4×D4×C11—21no—
105C2×C11×C4⋊C4—21no—
106C2×C11×C4⋊C4C2311yescharacteristic
107C2×C42×C11—21no—
108C2×C42×C11C2311yescharacteristic
109#67000C2314yes—
110Q8×Dic11—22no—
111Q8×Dic11—22no—
112Q8×Dic11C2314yes—
113Q8×Dic11C2314yes—
114Q8×Dic11C2314yes—
115C2×#4325—24no—
116C2×#4325C2314yes—
117#66993C2314yes—
118#66992—24no—
119#66991—22no—
120#66990—24no—
121D4×Dic11—24no—
122D4×Dic11C2314yes—
123#66983—22no—
124#66983—22no—
125C2×(C2×D11)⋊C4—21no—
126#66979—24no—
127#66979—22no—
128#66979C2312yes—
129#66979C2312yes—
130C2×C4⋊Dic11—22no—
131C2×C4⋊Dic11C2311yescharacteristic
132#66977—21no—
133#66977—21no—
134#66977—24no—
135#66977D412yes—
136#66977D412yes—
137C22×C11⋊C8C2311yescharacteristic
138C22×C11⋊C8C2311yescharacteristic
139#66951—24no—
140#66950—22no—
141#66945—22no—
142#66943—24no—
143#66943—22no—
144#66943—24no—
145#66943C2314yes—
146#66941—24no—
147#66941—22no—
148#66941—24no—
149#66941C2314yes—
150#66939—24no—
151#66938—24no—
152#66936—24no—
153(C22⋊D11)⋊C4—24no—
154C4×D44—21no—
155C4×D44—21no—
156C4×D44C2312yes—
157C4×D44C2312yes—
158#66923—24no—
159#66923D412yes—
160#66923C2312yes—
161#66922—22no—
162#66922—22no—
163#66922D411yescharacteristic
164#66922D411yescharacteristic
165#66922C2311yescharacteristic
166#66922C2311yescharacteristic
167C4×Dic22—22no—
168C4×Dic22—21no—
169C4×Dic22—21no—
170C4×Dic22—22no—
171C4×Dic22—24no—
172C4×Dic22C2312yes—
173C4×Dic22C2312yes—
174C11×C4⋊C8C2312yes—
175C11×C4⋊C8C2312yes—
176C11×#103C2314yes—
177C11×#102C2314yes—
178#66899C2314yes—
179#66899C2312yes—
180#66899C2312yes—
181#66899C2312yes—
182#66899C2312yes—
183#66896C2312yes—
184#66896C2312yes—
185#66896C2312yes—
186#66896C2312yes—
187#66885C2314yes—
188#66885C2314yes—
189#66882C2314yes—
190#66881C2314yes—
191#66879C2314yes—
192Dic11⋊C8C2314yes—
193Dic11⋊C8C2314yes—
194C8×Dic11C2314yes—
195#66873C2314yes—
196#66871C2314yes—
197#66867C2312yes—
198#66867C2312yes—
199#61334—111nomaximal, Sylow
200C23×D11—21no—
201C11×#41—24no—
202C11×#41—24no—
203C2×Q8×C11—21no—
204C2×Q8×C11—22no—
205C2×Q8×C11#4114yescomplemented
206C2×Q8×C11C2412yes—
207C2×Q8×C11C2412yes—
208C2×D4×C11—22no—
209C2×D4×C11—21no—
210C2×D4×C11—21no—
211C2×D4×C11C2412yes—
212C22×C4×C11—21no—
213C22×C4×C11—21no—
214C22×C4×C11—22no—
215C22×C4×C11C2×D411yescharacteristic
216C22×C4×C11C2×D411yescharacteristic
217C22×C4×C11C2411yescharacteristic
218C2×C22⋊D11—24no—
219C2×C22⋊D11—24no—
220C22×Dic11—24no—
221C22×Dic11—21no—
222#4341—84no—
223C2×D44—21no—
224C2×D44—22no—
225C2×D44—22no—
226C2×D44C2412yes—
227C2×C4×D11—22no—
228C2×C4×D11—22no—
229C2×C4×D11—82no—
230C2×Dic22—24no—
231C2×Dic22—21no—
232C2×Dic22—21no—
233C2×Dic22C2×D412yes—
234C2×Dic22C2×D412yes—
235C11×Q16—28no—
236C11×SD16—28no—
237C11×M16—24no—
238C2×C8×C11C2414yes—
239C11×C4⋊C4—22no—
240C11×C4⋊C4—22no—
241C11×C4⋊C4—21no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4C2412yes—
245C11×C22⋊C4—22no—
246C11×C22⋊C4—22no—
247C42×C11—22no—
248C42×C11—22no—
249C42×C11C2×D411yescharacteristic
250C42×C11C2×D411yescharacteristic
251C42×C11C2411yescharacteristic
252C42×C11C2411yescharacteristic
253C22⋊Dic11—24no—
254C22⋊Dic11—22no—
255C22⋊Dic11C2×D414yes—
256#4325—28no—
257(C2×D11)⋊C4—24no—
258(C2×D11)⋊C4—24no—
259(C2×D11)⋊C4—22no—
260(C2×D11)⋊C4—22no—
261C4⋊Dic11—24no—
262C4⋊Dic11—24no—
263C4⋊Dic11—24no—
264C4⋊Dic11—24no—
265C4⋊Dic11—21no—
266C4⋊Dic11—21no—
267C4⋊Dic11—21no—
268C4⋊Dic11C2×D412yes—
269C4⋊Dic11C2×D412yes—
270C4⋊Dic11C2×D412yes—
271C4⋊Dic11C2×D412yes—
272C4⋊Dic11C2412yes—
273C4⋊Dic11C2412yes—
274C4⋊Dic11C2412yes—
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×Dic11C2414yes—
286C2×C11⋊C8—22no—
287C2×C11⋊C8—22no—
288C2×C11⋊C8C2412yes—
289C2×C11⋊C8C2412yes—
290#3506—111no—
291#3502—111no—
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#3037D1111yescharacteristic, complemented
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—24no—
312Q8×C11—22no—
313Q8×C11—22no—
314Q8×C11—22no—
315Q8×C11C2×#4114yes—
316D4×C11—22no—
317D4×C11—22no—
318D4×C11—42no—
319D4×C11—44no—
320D4×C11—81no—
321C2×C4×C11—24no—
322C2×C4×C11—22no—
323C2×C4×C11—22no—
324C2×C4×C11—22no—
325C2×C4×C11—41no—
326C2×C4×C11—41no—
327C2×C4×C11—44no—
328C2×C4×C11—81no—
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—84no—
338C22⋊D11—84no—
339C2×Dic11—22no—
340C2×Dic11—22no—
341C2×Dic11—22no—
342C2×Dic11—84no—
343C2×Dic11—81no—
344C2×Dic11C22×D414yes—
345C2×Dic11C22×D414yes—
346D44—22no—
347D44—22no—
348D44—42no—
349C4×D11—44no—
350C4×D11—82no—
351Dic22—42no—
352Dic22—42no—
353Dic22—42no—
354Dic22—84no—
355Dic22—81no—
356C8×C11—24no—
357C11⋊C8—22no—
358C11⋊C8—22no—
359C2×#137C2×D1112yes—
360C22×SD16—111no—
361#559—114no—
362Q82—112no—
363Q82—221no—
364#557—114no—
365#557—112no—
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—111no—
379#533—222no—
380#532C2×D1111yescharacteristic
381#525—222no—
382#520—112no—
383#519—112no—
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#464C2×D1114yescomplemented
404#462C2×D1112yescomplemented
405#460—114no—
406#460—114no—
407#460C2×D1112yescomplemented
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#423C2×D1111yescharacteristic
420#418—112no—
421#417C2×D1112yes—
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—42no—
436C2×D11—42no—
437C2×D11—42no—
438C2×D11—84no—
439C4×C11—21no—
440C4×C11—21no—
441C4×C11—21no—
442C4×C11—21no—
443C4×C11—24no—
444C4×C11—42no—
445C4×C11—42no—
446C4×C11#54812yes—
447C4×C11C22×#4111yescharacteristic
448C4×C11C2×2−1+411yescharacteristic
449Dic11—24no—
450Dic11—24no—
451Dic11—42no—
452Dic11—42no—
453Dic11—42no—
454C2×#41—222no—
455C2×#41C22×D1112yes—
456C22×Q8C22×D1111yescharacteristic
457C22×D4—111no—
458C23×C4—221no—
459#137—28no—
460C2×Q16C22×D1114yes—
461C2×SD16—114no—
462C2×SD16—224no—
463C2×SD16C22×D1114yes—
464C2×M16C22×D1112yes—
465C22×C8—111no—
466C22×C8—111no—
467C4⋊Q8—114no—
468C4⋊Q8—111no—
469C4⋊Q8—111no—
470C4⋊Q8—111no—
471C4⋊Q8—111no—
472C4⋊Q8—222no—
473C4⋊Q8—222no—
474C4⋊Q8—222no—
475C4⋊Q8—224no—
476C4⋊Q8—224no—
477C4⋊Q8C22×D1111yescharacteristic
478#127—114no—
479#127C22×D1111yescharacteristic
480#126—224no—
481#125—114no—
482#125—112no—
483#125—112no—
484#125—224no—
485#125—222no—
486#125—224no—
487#125—224no—
488#124—114no—
489#124—224no—
490#124C22×D1112yes—
491#123—224no—
492#123—224no—
493C22⋊Q8—112no—
494C22⋊Q8—112no—
495C22⋊Q8—224no—
496C22⋊Q8—222no—
497C22⋊Q8—221no—
498C22⋊Q8—221no—
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—224no—
514C4×Q8—222no—
515C4×Q8—222no—
516C4×Q8—222no—
517C4×Q8—222no—
518C4×Q8—221no—
519C4×Q8—221no—
520C4×Q8C22×D1112yes—
521C4×Q8C22×D1112yes—
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—112no—
533#117—224no—
534#117—222no—
535#117—222no—
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—114no—
547C4⋊C8—114no—
548C4⋊C8C22×D1112yes—
549C4⋊C8C22×D1112yes—
550#103—114no—
551#103—112no—
552#103—112no—
553#103—112no—
554#103—112no—
555#103C22×D1114yes—
556#102—112no—
557#102—112no—
558#102—112no—
559#102—112no—
560#102—114no—
561#102—114no—
562#102—114no—
563#102C22×D1114yes—
564#97—114no—
565#97—112no—
566#97—112no—
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—22no—
580C2×Q8—112no—
581C2×Q8—112no—
582C2×Q8—224no—
583C2×Q8—221no—
584C2×Q8—221no—
585C2×Q8#434114yescomplemented
586C2×Q8C23×D1112yes—
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—21no—
599C22×C4—21no—
600C22×C4—22no—
601C22×C4—224no—
602C22×C4—221no—
603C22×C4—222no—
604C22×C4—222no—
605C22×C4—882no—
606C22×C4D4×D1111yescharacteristic
607C22×C4D4×D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609Q16—28no—
610SD16—28no—
611SD16—228no—
612M16—24no—
613C2×C8—112no—
614C2×C8—112no—
615C2×C8—222no—
616C2×C8—222no—
617C2×C8C23×D1114yes—
618C4⋊C4—22no—
619C4⋊C4—22no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—112no—
624C4⋊C4—112no—
625C4⋊C4—112no—
626C4⋊C4—114no—
627C4⋊C4—114no—
628C4⋊C4—112no—
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—222no—
640C4⋊C4—221no—
641C4⋊C4—222no—
642C4⋊C4—221no—
643C4⋊C4C23×D1112yes—
644C22⋊C4—22no—
645C22⋊C4—22no—
646C22⋊C4—114no—
647C22⋊C4—224no—
648C22⋊C4—224no—
649C22⋊C4—224no—
650C22⋊C4—222no—
651C22⋊C4—222no—
652C22⋊C4—222no—
653C42—22no—
654C42—22no—
655C42—114no—
656C42—224no—
657C42—224no—
658C42—224no—
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—24no—
672Q8—22no—
673Q8—22no—
674Q8—22no—
675Q8—442no—
676Q8—442no—
677Q8—442no—
678Q8—881no—
679Q8—884no—
680Q8C2×#434114yes—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—44no—
685D4—81no—
686D4—222no—
687D4—222no—
688D4—442no—
689D4—884no—
690D4—884no—
691C2×C4—24no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—22no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—44no—
698C2×C4—81no—
699C2×C4—114no—
700C2×C4—114no—
701C2×C4—222no—
702C2×C4—222no—
703C2×C4—222no—
704C2×C4—444no—
705C2×C4—882no—
706C2×C4—884no—
707C2×C4—881no—
708C2×C4C2×D4×D1111yescharacteristic
709C2×C4C2×D4×D1111yescharacteristic
710C2×C4C2×D4×D1111yescharacteristic
711C2×C4C2×D4×D1111yescharacteristic
712C2×C4C2×D4×D1111yescharacteristic
713C2×C4C2×#434112yes—
714C2×C4#6704312yes—
715C2×C4C24×D1111yescharacteristic
716C8—24no—
717C8—222no—
718C8—222no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—442no—
725C22—442no—
726C22—442no—
727C22—884no—
728C22#1062312912yes—
729C22C22×D4×D1111yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—24no—
735C4—42no—
736C4—42no—
737C4—224no—
738C4—224no—
739C4—442no—
740C4—442no—
741C4—442no—
742C4#1062312912yes—
743C4C22×#434111yescharacteristic
744C4C2×#6704311yescharacteristic
745C2—22no—
746C2—82no—
747C2—882no—
748C2C2×#1062312911yescharacteristic
749C2#1308339311yescharacteristic
750C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3037C2
socleC22×C11C23×D4
prime radical#13082465C2
hypercenter#3037D11
hypocenterC11#61334
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3037

Complements

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

NH ≅ G/Ntype
2. #13082426C2semidirect
3. #13081451C2semidirect
4. #13081425C2semidirect
5. #13081381C2semidirect
6. #13081340C2semidirect
7. #13078973C2semidirect
8. #13078961C2semidirect
9. #13078471C2semidirect
10. #13078415C2semidirect
11. #13078139C2semidirect
12. #13077553C2semidirect
13. #13077460C2semidirect
14. C2×#10622639C2semidirect
15. C11×#3037C2semidirect
29. #10623101C22semidirect
31. #10623100C22semidirect
33. Q8×Dic22C22semidirect
43. C11×#464C22semidirect
44. C11×#462C22semidirect
45. C11×#460C22semidirect
53. #10622797C22semidirect
54. Q16×Dic11C22semidirect
55. #10622777C22semidirect
58. SD16×Dic11C22semidirect
63. #10622695C22semidirect
64. #10622684C22semidirect
65. #10622668C22semidirect
66. #10622668C22semidirect
75. #10622441C22semidirect
76. #10622441C22semidirect
78. #10622412C22semidirect
80. #10622407C22semidirect
82. #10622376C22semidirect
84. #10622372C22semidirect
205. C2×Q8×C11#41semidirect
301. #3037D11semidirect
403. #464C2×D11semidirect
404. #462C2×D11semidirect
407. #460C2×D11semidirect
585. C2×Q8#4341semidirect
664. C11#61334semidirect

Maximal subgroups

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

subgroupindex
#130824652
#130824262
#130814512
#130814252
#130813812
#130813402
#130789732
#130789612
#130784712
#130784152
#130781392
#130775532
#130774602
C2×#106226392
C11×#30372
#6133411