Finite Group Databasebeta

← #15633871

Subgroups — #15633871

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#13082478C211yesmaximal, characteristic, complemented
2#13082417C211yesmaximal, characteristic, complemented
3#13081442C214yesmaximal, complemented
4#13081394C214yesmaximal, complemented
5#13081364C214yesmaximal, complemented
6#13081331C214yesmaximal, complemented
7#13078985C212yesmaximal, complemented
8#13078465C212yesmaximal, complemented
9#13078417C211yesmaximal, characteristic, complemented
10#13078131C212yesmaximal, complemented
11#13078076C211yesmaximal, characteristic
12#13077556C211yesmaximal, characteristic, complemented
13#13077451C212yesmaximal, complemented
14C2×#10622323C211yesmaximal, characteristic, complemented
15C11×#3135C211yesmaximal, characteristic, complemented
16C11×#533C2211yescharacteristic
17C11×#532C2211yescharacteristic
18#10623358C2212yes—
19#10623356C2212yes—
20C2×#67002C2212yes—
21C22×#4314C2211yescharacteristic
22#10623261C2212yes—
23#10623258C2212yes—
24#10623252C2212yescomplemented
25#10623244C2212yescomplemented
26#10623221C2214yes—
27#10623202C2214yescomplemented
28#10623165—22no—
29D11×C22⋊Q8—22no—
30#10623133—22no—
31#10623131—22no—
32#10623110—22no—
33#10623110—21no—
34Q8×D44—21no—
35#10623074—21no—
36#10623073—21no—
37#10623072—22no—
38#10623052C2212yes—
39#10623050C2212yes—
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#10622707C2212yescomplemented
57#10622704C2212yescomplemented
58#10622696C2212yes—
59#10622685C2212yes—
60#10622676C2214yescomplemented
61#10622670C2214yes—
62#10622617C2212yes—
63#10622608C2212yes—
64#10622537C2211yescharacteristic
65#10622431C2214yes—
66#10622431C2214yes—
67#10622430C2214yes—
68#10622410C2214yescomplemented
69#10622409C2214yescomplemented
70#10622407C2214yescomplemented
71#10622405C2214yescomplemented
72#10622401C2214yes—
73#10622400C2214yes—
74#10622400C2214yes—
75#10622398C2214yes—
76#10622381C2214yescomplemented
77#10622379C2214yescomplemented
78#10622378C2214yescomplemented
79#10622372C2214yescomplemented
80#10622369C2214yes—
81#10622323C2214yes—
82#10622323C2214yes—
83#10622314C2214yescomplemented
84#10622314C2214yescomplemented
85C2×C11×#41C2312yes—
86C2×Q8×D11—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#67002—28no—
109#66999—22no—
110#66999—24no—
111Q8×Dic11C2314yes—
112#66997C2314yes—
113C2×#4325C2314yes—
114#66989—22no—
115#66989C2314yes—
116#66988—24no—
117#66988—24no—
118D4×Dic11—24no—
119D4×Dic11—22no—
120D4×Dic11C2314yes—
121C2×#4323C2314yes—
122C2×(C2×D11)⋊C4—21no—
123#66979—22no—
124#66979C2312yes—
125C2×C4⋊Dic11—22no—
126C2×C4⋊Dic11C2311yescharacteristic
127C2×C4⋊Dic11C2311yescharacteristic
128#66977—22no—
129#66977—22no—
130#66977D412yes—
131#66977D412yes—
132C2×Dic11⋊C4—21no—
133C2×C4×Dic11—21no—
134C2×#4318C2312yes—
135C2×#4314—24no—
136C2×#4314C2314yes—
137#66950—22no—
138#66950—24no—
139#66949—24no—
140#66949—24no—
141#66949—24no—
142#66946C2314yes—
143#66946C2314yes—
144C4⋊C4×D11—22no—
145C4⋊C4×D11—24no—
146#66943—22no—
147#66943C2314yes—
148#66942—24no—
149#66941C2314yes—
150#66940—22no—
151C22⋊C4×D11—24no—
152#66932—24no—
153#66932—24no—
154#66931—24no—
155#66931—24no—
156#66930—24no—
157C4×D44—21no—
158C4×D44—21no—
159C4×D44—22no—
160C4×D44—22no—
161C4×D44C2312yes—
162C4×D44C2312yes—
163#66923—22no—
164#66923D412yes—
165#66922—22no—
166#66922D411yescharacteristic
167#66922D411yescharacteristic
168C4×Dic22—21no—
169C4×Dic22—21no—
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#66874C2314yes—
194#66874C2314yes—
195#66872C2314yes—
196#66871C2314yes—
197C4⋊(C11⋊C8)C2312yes—
198C4⋊(C11⋊C8)C2312yes—
199#61333—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
214C22×Dic11—24no—
215C22×Dic11—21no—
216C22×Dic11—21no—
217C22×Dic11—21no—
218Q8×D11—84no—
219C2×D44—21no—
220C2×D44—22no—
221C2×D44#4114yes—
222C2×D44C2412yes—
223C2×C4×D11—24no—
224C2×C4×D11—24no—
225C2×C4×D11—22no—
226C2×C4×D11—22no—
227C2×C4×D11—82no—
228C2×Dic22—24no—
229C2×Dic22—21no—
230C2×Dic22—22no—
231C2×Dic22—22no—
232C2×Dic22C2×D412yes—
233C2×Dic22C2×D412yes—
234C2×Dic22C2412yes—
235C2×C8×C11—22no—
236C2×C8×C11—22no—
237C2×C8×C11C2412yes—
238C2×C8×C11C2412yes—
239C11×C4⋊C4—21no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—22no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4—21no—
244C11×C4⋊C4—22no—
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⋊Dic11—24no—
257C22⋊Dic11—24no—
258C22⋊Dic11C2×D414yes—
259#4325—28no—
260#4323—28no—
261(C2×D11)⋊C4—24no—
262(C2×D11)⋊C4—24no—
263(C2×D11)⋊C4—22no—
264(C2×D11)⋊C4—22no—
265C4⋊Dic11—24no—
266C4⋊Dic11—24no—
267C4⋊Dic11—21no—
268C4⋊Dic11—21no—
269C4⋊Dic11C2×D412yes—
270C4⋊Dic11C2×D412yes—
271C4⋊Dic11C2×D412yes—
272C4⋊Dic11C2×D412yes—
273C4⋊Dic11C2412yes—
274C4⋊Dic11C2412yes—
275Dic11⋊C4—24no—
276Dic11⋊C4—24no—
277Dic11⋊C4—24no—
278Dic11⋊C4—24no—
279Dic11⋊C4—22no—
280Dic11⋊C4—22no—
281Dic11⋊C4C2×D414yes—
282Dic11⋊C4C2×D414yes—
283C4×Dic11—24no—
284C4×Dic11—22no—
285C4×Dic11—22no—
286C4×Dic11C2414yes—
287#4318—24no—
288C2×C11⋊C8C2414yes—
289#4314—28no—
290#3507—111no—
291#3501—111no—
292#3376—114no—
293#3372—114no—
294#3370—114no—
295#3367—114no—
296#3137—112no—
297#3135D1111yescharacteristic, complemented
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—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
334C2×Dic11—22no—
335C2×Dic11—22no—
336C2×Dic11—22no—
337C2×Dic11—42no—
338C2×Dic11—84no—
339C2×Dic11—81no—
340C2×Dic11—81no—
341C2×Dic11C22×D414yes—
342C2×Dic11C22×D414yes—
343D44—24no—
344D44—22no—
345D44C2×#4114yes—
346C4×D11—44no—
347C4×D11—84no—
348C4×D11—84no—
349C4×D11—82no—
350Dic22—22no—
351Dic22—22no—
352Dic22—42no—
353Dic22—42no—
354Dic22—42no—
355Dic22—84no—
356C8×C11—22no—
357C8×C11—22no—
358C11⋊C8—24no—
359C2×AGL(1,ℤ/8)—112no—
360C22×SD16—111no—
361#559—112no—
362#557—112no—
363#556—114no—
364#556—221no—
365#554—112no—
366#554—114no—
367#554—221no—
368#554—222no—
369#554—221no—
370#552—222no—
371D4×Q8—112no—
372D4×Q8—221no—
373#544—112no—
374#543—222no—
375#539—222no—
376#536—112no—
377#533—111no—
378#533C2×D1111yescharacteristic
379#532C2×D1111yescharacteristic
380#529—222no—
381C2×C22⋊Q8—222no—
382#520—112no—
383#518—112no—
384C2×C4×Q8—111no—
385C2×C4×D4—111no—
386#491—114no—
387#491C2×D1112yescomplemented
388#490C2×D1112yescomplemented
389#489—114no—
390#489C2×D1112yescomplemented
391#489C2×D1112yescomplemented
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—112no—
405#461—114no—
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#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—24no—
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—42no—
452Dic11—42no—
453Dic11—42no—
454C2×#41C22×D1112yes—
455C22×Q8—111no—
456C22×Q8—222no—
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×C8C22×D1111yescharacteristic
466C22×C8C22×D1111yescharacteristic
467C4⋊Q8—114no—
468C4⋊Q8—114no—
469C4⋊Q8—111no—
470C4⋊Q8—111no—
471C4⋊Q8—222no—
472C4⋊Q8C22×D1111yescharacteristic
473C4⋊Q8C22×D1111yescharacteristic
474C4⋊Q8C22×D1111yescharacteristic
475#127C22×D1111yescharacteristic
476#126—224no—
477#126—224no—
478#125—114no—
479#125—112no—
480#125—222no—
481#125—222no—
482#125—224no—
483#125C22×D1112yes—
484#124—114no—
485#124—222no—
486#124C22×D1112yes—
487#123—224no—
488#123—224no—
489C22⋊Q8—21no—
490C22⋊Q8—21no—
491C22⋊Q8—112no—
492C22⋊Q8—112no—
493C22⋊Q8—224no—
494C22⋊Q8—224no—
495C22⋊Q8—224no—
496C22⋊Q8—224no—
497C22⋊Q8—224no—
498C22⋊Q8—222no—
499C22⋊Q8—224no—
500C22⋊Q8—222no—
501C22⋊Q8—222no—
502C22⋊Q8—222no—
503C22⋊Q8—224no—
504#121—21no—
505#121—21no—
506C4×Q8—21no—
507C4×Q8—21no—
508C4×Q8—112no—
509C4×Q8—112no—
510C4×Q8—114no—
511C4×Q8—112no—
512C4×Q8—112no—
513C4×Q8—222no—
514C4×Q8—221no—
515C4×Q8—221no—
516C4×D4—21no—
517C4×D4—21no—
518C4×D4—114no—
519C4×D4—114no—
520C4×D4—114no—
521C4×D4—112no—
522C4×D4—112no—
523C4×D4—222no—
524C4×D4—222no—
525C4×D4—224no—
526C4×D4—222no—
527C4×D4—221no—
528C4×D4—221no—
529#117—112no—
530#117—224no—
531#117—222no—
532#117C22×D1112yes—
533C2×C4⋊C4—111no—
534C2×C4⋊C4—111no—
535C2×C4⋊C4—224no—
536C2×C4⋊C4—222no—
537C2×C4⋊C4—222no—
538C2×C4⋊C4—221no—
539C2×C22⋊C4—224no—
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#103—114no—
553#103—114no—
554#103C22×D1112yes—
555#103C22×D1112yes—
556#103C22×D1112yes—
557#103C22×D1112yes—
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—44no—
574C24—221no—
575#41—24no—
576#41—24no—
577C2×Q8—21no—
578C2×Q8—21no—
579C2×Q8—112no—
580C2×Q8—112no—
581C2×Q8—112no—
582C2×Q8—224no—
583C2×Q8—221no—
584C2×Q8—222no—
585C2×Q8—222no—
586C2×Q8—884no—
587C2×Q8C23×D1112yes—
588C2×D4—22no—
589C2×D4—21no—
590C2×D4—21no—
591C2×D4—114no—
592C2×D4—112no—
593C2×D4—221no—
594C2×D4—222no—
595C2×D4C23×D1112yes—
596C22×C4—22no—
597C22×C4—224no—
598C22×C4—224no—
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
609SD16—228no—
610SD16—228no—
611D8—228no—
612M16—224no—
613C2×C8—22no—
614C2×C8—22no—
615C2×C8—114no—
616C2×C8C23×D1112yes—
617C2×C8C23×D1112yes—
618C4⋊C4—22no—
619C4⋊C4—21no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—22no—
623C4⋊C4—21no—
624C4⋊C4—112no—
625C4⋊C4—114no—
626C4⋊C4—112no—
627C4⋊C4—112no—
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—224no—
652C22⋊C4—224no—
653C22⋊C4—222no—
654C22⋊C4—222no—
655C42—22no—
656C42—114no—
657C42—224no—
658C42—222no—
659C42—222no—
660C42D4×D1111yescharacteristic
661C42D4×D1111yescharacteristic
662C42C23×D1111yescharacteristic
663C42C23×D1111yescharacteristic
664C11#6133311yescharacteristic, complemented, Sylow
665C23—22no—
666C23—222no—
667C23—224no—
668C23—881no—
669C23—881no—
670C23C2×D4×D1111yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—42no—
674Q8—81no—
675Q8—222no—
676Q8—222no—
677Q8—442no—
678Q8—442no—
679Q8—442no—
680Q8—884no—
681D4—22no—
682D4—22no—
683D4—42no—
684D4—44no—
685D4—81no—
686D4—114no—
687D4—222no—
688D4—224no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—114no—
696C2×C4—114no—
697C2×C4—222no—
698C2×C4—222no—
699C2×C4—222no—
700C2×C4—444no—
701C2×C4—442no—
702C2×C4—882no—
703C2×C4—884no—
704C2×C4—884no—
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—224no—
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—442no—
740C4—442no—
741C4—442no—
742C4#1062320812yes—
743C4C2×#41×D1111yescharacteristic
744C4C2×#6704311yescharacteristic
745C2—22no—
746C2—82no—
747C2—444no—
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#13078076C2
hypercenter#3135D11
hypocenterC11#61333
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
1. #13082478C2semidirect
2. #13082417C2semidirect
3. #13081442C2semidirect
4. #13081394C2semidirect
5. #13081364C2semidirect
6. #13081331C2semidirect
7. #13078985C2semidirect
8. #13078465C2semidirect
9. #13078417C2semidirect
10. #13078131C2semidirect
12. #13077556C2semidirect
13. #13077451C2semidirect
14. C2×#10622323C2semidirect
15. C11×#3135C2semidirect
24. #10623252C22semidirect
25. #10623244C22semidirect
27. #10623202C22semidirect
43. C11×#491C22semidirect
44. C11×#490C22semidirect
45. C11×#489C22semidirect
46. C11×#489C22semidirect
56. #10622707C22semidirect
57. #10622704C22semidirect
60. #10622676C22semidirect
68. #10622410C22semidirect
69. #10622409C22semidirect
70. #10622407C22semidirect
71. #10622405C22semidirect
76. #10622381C22semidirect
77. #10622379C22semidirect
78. #10622378C22semidirect
79. #10622372C22semidirect
83. #10622314C22semidirect
84. #10622314C22semidirect
297. #3135D11semidirect
387. #491C2×D11semidirect
388. #490C2×D11semidirect
390. #489C2×D11semidirect
391. #489C2×D11semidirect
664. C11#61333semidirect

Maximal subgroups

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

subgroupindex
#130824782
#130824172
#130814422
#130813942
#130813642
#130813312
#130789852
#130784652
#130784172
#130781312
#130780762
#130775562
#130774512
C2×#106223232
C11×#31352
#6133311