Finite Group Databasebeta

← #15639866

Subgroups — #15639866

Order 2816.

2222 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082249C211yesmaximal, characteristic
2#13080631C214yesmaximal, complemented
3#13080445C214yesmaximal, complemented
4D4×#4325C214yesmaximal, complemented
5#13080127C214yesmaximal, complemented
6#13079682C212yesmaximal, complemented
7#13079483C212yesmaximal, complemented
8#13079397C212yesmaximal, complemented
9#13078863C212yesmaximal, complemented
10#13077891C212yesmaximal, complemented
11C2×#10622659C212yesmaximal, complemented
12#13077672C211yesmaximal, characteristic, complemented
13C11×#3538C211yesmaximal, characteristic, complemented
14C2×#67042C2211yescharacteristic
15C23×D44C2211yescharacteristic
16C11×#563—22no—
17C11×#552C2214yescomplemented
18C11×#551—22no—
19D4×Q8×C11C2214yescomplemented
20C11×#544—22no—
21C11×#541C2212yescomplemented
22C11×#539—22no—
23C11×#536C2212yescomplemented
24C11×#525C2211yescharacteristic
25C2×C11×C22⋊Q8C2212yescomplemented
26#10623361C2211yescharacteristic
27C2×#66995C2212yescomplemented
28C22×#4325C2214yescomplemented
29C22×#4325C2212yescomplemented
30#10623322C2211yescharacteristic
31#10623184—22no—
32#10623161—22no—
33#10623140—22no—
34D11×#120—22no—
35#10623081C2214yes—
36D4×D44C2214yes—
37#10623056C2211yescharacteristic
38#10623052C2211yescharacteristic
39#10622847C2212yescomplemented
40#10622841C2212yescomplemented
41#10622840C2212yescomplemented
42#10622840C2214yescomplemented
43C2×C22⋊(C11⋊C8)C2212yescomplemented
44#10622699C2212yescomplemented
45#10622698C2212yescomplemented
46#10622696C2214yescomplemented
47#10622681C2212yescomplemented
48#10622680C2212yescomplemented
49#10622679C2214yescomplemented
50#10622664C2214yescomplemented
51#10622662C2214yescomplemented
52#10622661C2214yescomplemented
53#10622661C2214yescomplemented
54#10622660C2214yescomplemented
55#10622660C2214yescomplemented
56#10622659C2214yes—
57#10622659C2214yescomplemented
58#10622659C2214yescomplemented
59#10622659C2214yescomplemented
60#10622659C2214yescomplemented
61#10622658C2214yescomplemented
62#10622641C2214yescomplemented
63#10622640C2214yescomplemented
64#10622639C2214yescomplemented
65C4×#4325C2214yescomplemented
66#10622624C2214yescomplemented
67D4×C11⋊C8C2214yescomplemented
68#10622616C2214yescomplemented
69#10622615C2212yescomplemented
70#10622614C2212yescomplemented
71#10622613C2212yescomplemented
72#10622584C2212yescomplemented
73#10622580C2212yescomplemented
74C2×#66873C2214yescomplemented
75C24×D11—21no—
76C2×C11×#41C2311yescharacteristic
77C22×Q8×C11C2312yes—
78C22×Q8×C11C2312yescomplemented
79C23×C4×C11C2311yescharacteristic
80#67042—44no—
81C2×#4343—21no—
82C2×D4×D11—22no—
83C2×D4×D11—21no—
84C2×D4×D11—24no—
85C2×#4339C2312yes—
86C2×#4339C2311yescharacteristic
87C22×D44—22no—
88C22×D44—21no—
89C22×D44—44no—
90C22×D44C2311yescharacteristic
91C22×D44C2312yes—
92C22×D44C2314yes—
93C22×D44C2311yescharacteristic
94C11×C4⋊Q8—22no—
95C11×C4⋊Q8—24no—
96C11×C4⋊Q8C2312yescomplemented
97C11×#126—24no—
98C11×#126—24no—
99C11×#125—24no—
100C11×#125—24no—
101C11×#125C2312yescomplemented
102C11×#124—22no—
103C11×#123—22no—
104C11×#123—22no—
105C11×#123—24no—
106C11×#123D412yes—
107C11×C22⋊Q8—22no—
108C11×C22⋊Q8—22no—
109C11×C22⋊Q8—24no—
110C11×C22⋊Q8—24no—
111C11×C22⋊Q8D412yes—
112C11×C22⋊Q8C2314yes—
113C11×C22⋊Q8C2314yes—
114C11×C22⋊Q8C2314yescomplemented
115C11×#121D412yes—
116C11×#120D412yes—
117C4×Q8×C11C2314yescomplemented
118C4×D4×C11—24no—
119C4×D4×C11C2314yes—
120C11×#117—24no—
121C11×#117C2311yescharacteristic
122C11×#117C2312yescomplemented
123C2×C11×C4⋊C4—22no—
124C2×C11×C4⋊C4C2312yes—
125C2×C11×C22⋊C4—22no—
126#67006—21no—
127#67000—21no—
128C2×#4326C2314yescomplemented
129#66995—44no—
130C2×#4325—48no—
131C2×#4325—44no—
132C2×#4325C2314yes—
133C2×#4325C2314yes—
134C2×#4325C2314yes—
135C2×#4325C2314yes—
136C2×#4325C2314yescomplemented
137#66993—21no—
138#66990—24no—
139#66990—22no—
140#66983C2312yes—
141#66983C2314yes—
142#66982—21no—
143C4×C22⋊D11—22no—
144#66979C2311yescharacteristic
145#66977C2312yes—
146C2×#4318C2312yescomplemented
147C22×C11⋊C8C2314yes—
148C22×C11⋊C8C2312yescomplemented
149#66948—22no—
150#66948—24no—
151#66947—24no—
152#66946—22no—
153#66937—24no—
154#66935—22no—
155#66935—24no—
156#66935—24no—
157C22⋊C4×D11—22no—
158C22⋊C4×D11—24no—
159#66928C2312yes—
160#66927C2312yes—
161C4×D44C2314yes—
162#66899C2314yescomplemented
163#66899C2314yescomplemented
164C22⋊(C11⋊C8)C2312yes—
165C22⋊(C11⋊C8)C2312yes—
166C22⋊(C11⋊C8)C2314yes—
167C22⋊(C11⋊C8)C2314yescomplemented
168#66874C2314yescomplemented
169#66873C2314yes—
170#66873C2314yes—
171#66873C2314yes—
172#66873C2314yes—
173#66873C2314yescomplemented
174#66872C2314yescomplemented
175#66871C2314yescomplemented
176C4⋊(C11⋊C8)C2314yescomplemented
177#66867C2312yescomplemented
178C4×C11⋊C8C2312yescomplemented
179#61631—111nomaximal, Sylow
180C24×C11C2×D411yescharacteristic
181C23×D11—21no—
182C23×D11—24no—
183C23×D11—21no—
184C23×D11—22no—
185C23×D11—44no—
186C23×D11—84no—
187C11×#41—42no—
188C2×Q8×C11—22no—
189C2×Q8×C11—22no—
190C2×Q8×C11—44no—
191C2×Q8×C11—42no—
192C2×Q8×C11—42no—
193C2×Q8×C11C2×D411yescharacteristic
194C2×Q8×C11C2414yes—
195C2×D4×C11C2×D414yes—
196C2×D4×C11C2×D412yes—
197C2×D4×C11C2×D411yescharacteristic
198C22×C4×C11—22no—
199C22×C4×C11—22no—
200C22×C4×C11—22no—
201C22×C4×C11—42no—
202C22×C4×C11C2×D412yes—
203C22×C4×C11C2×D411yescharacteristic
204C22×C4×C11C2411yescharacteristic
205C22×C4×C11C2412yes—
206C22×C4×C11C2412yes—
207C2×C22⋊D11—22no—
208C2×C22⋊D11—21no—
209C2×C22⋊D11—22no—
210C2×C22⋊D11—24no—
211#4343—44no—
212D4×D11—48no—
213D4×D11—44no—
214D4×D11—88no—
215#4339—24no—
216#4339—42no—
217#4339—42no—
218C2×D44—24no—
219C2×D44—28no—
220C2×D44—24no—
221C2×D44—21no—
222C2×D44—22no—
223C2×D44—24no—
224C2×D44—21no—
225C2×D44—24no—
226C2×D44—44no—
227C2×D44—42no—
228C2×D44—42no—
229C2×D44—44no—
230C2×D44—48no—
231C2×D44C2412yes—
232C2×D44C2411yescharacteristic
233C2×D44C2412yes—
234C2×C4×D11—22no—
235C2×C4×D11—21no—
236C2×C4×D11—24no—
237C2×Dic22C2411yescharacteristic
238C11×C4⋊C4—24no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—22no—
241C11×C4⋊C4—24no—
242C11×C4⋊C4—24no—
243C11×C4⋊C4—24no—
244C11×C4⋊C4—24no—
245C11×C4⋊C4C2×D412yes—
246C11×C4⋊C4C2×D414yes—
247C11×C4⋊C4C2414yes—
248C11×C22⋊C4—24no—
249C11×C22⋊C4—24no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—24no—
252C11×C22⋊C4C2×D414yes—
253C11×C22⋊C4C2×D412yes—
254C11×C22⋊C4C2×D414yes—
255C42×C11—22no—
256C42×C11—24no—
257C42×C11C2412yes—
258C22⋊Dic11—22no—
259C22⋊Dic11—21no—
260#4326—44no—
261#4325—28no—
262#4325—28no—
263#4325—44no—
264#4325—44no—
265#4325—44no—
266(C2×D11)⋊C4—24no—
267(C2×D11)⋊C4—24no—
268(C2×D11)⋊C4—24no—
269(C2×D11)⋊C4—22no—
270C4⋊Dic11C2412yes—
271Dic11⋊C4—22no—
272C4×Dic11—21no—
273#4318—42no—
274C2×C11⋊C8—44no—
275C2×C11⋊C8—42no—
276C2×C11⋊C8C2414yes—
277C2×C11⋊C8C2414yes—
278#3538D1111yescharacteristic, complemented
279#3484—111no—
280#3310—114no—
281#3296—114no—
282D4×SD16—114no—
283#3266—114no—
284#3222—112no—
285#3200—112no—
286#3190—112no—
287#3123—112no—
288#3009—112no—
289C2×#450—112no—
290#2977—111no—
291C23×C11—24no—
292C23×C11—41no—
293C23×C11C22×D411yescharacteristic
294C23×C11C22×D412yes—
295C23×C11C22×D412yes—
296C22×D11—22no—
297C22×D11—24no—
298C22×D11—22no—
299C22×D11—21no—
300C22×D11—48no—
301C22×D11—44no—
302C22×D11—42no—
303C22×D11—48no—
304C22×D11—82no—
305C22×D11—84no—
306C22×D11—82no—
307C22×D11—84no—
308C22×D11—816no—
309Q8×C11—24no—
310Q8×C11—24no—
311Q8×C11—41no—
312Q8×C11—82no—
313Q8×C11—82no—
314D4×C11—28no—
315D4×C11—41no—
316D4×C11—42no—
317C2×C4×C11—24no—
318C2×C4×C11—22no—
319C2×C4×C11—22no—
320C2×C4×C11—22no—
321C2×C4×C11—24no—
322C2×C4×C11—24no—
323C2×C4×C11—42no—
324C2×C4×C11—41no—
325C2×C4×C11—44no—
326C2×C4×C11—82no—
327C2×C4×C11—82no—
328C2×C4×C11C22×D411yescharacteristic
329C2×C4×C11C22×D412yes—
330C2×C4×C11C22×D414yes—
331C2×C4×C11C22×D412yes—
332C2×C4×C11C2511yescharacteristic
333C22⋊D11—44no—
334C22⋊D11—42no—
335C22⋊D11—44no—
336C22⋊D11—84no—
337C2×Dic11—22no—
338C2×Dic11—21no—
339D44—24no—
340D44—22no—
341D44—24no—
342D44—22no—
343D44—48no—
344D44—44no—
345D44—42no—
346D44—84no—
347D44H(5,𝔽2)14yes—
348C4×D11—44no—
349C4×D11—42no—
350C4×D11—84no—
351Dic22—22no—
352C11⋊C8—24no—
353C11⋊C8—24no—
354C2×H(5,𝔽2)—111no—
355C23×D4—111no—
356C2×#137—112no—
357C22×SD16—114no—
358C22×SD16—112no—
359#563—22no—
360#552C2×D1114yescomplemented
361#551—22no—
362D4×Q8C2×D1114yescomplemented
363#546—114no—
364#546—222no—
365D42—114no—
366D42—222no—
367#544—22no—
368#541C2×D1112yescomplemented
369#539—22no—
370#536C2×D1112yescomplemented
371#535—111no—
372#535—111no—
373#534—222no—
374#525—111no—
375#525C2×D1111yescharacteristic
376C2×C22⋊Q8C2×D1112yescomplemented
377C2×#120—222no—
378#518—111no—
379#497—112no—
380#492—112no—
381#490—112no—
382#488—112no—
383#485—114no—
384#483—112no—
385#482—114no—
386#480—112no—
387#478—114no—
388#468—114no—
389#467—114no—
390#465—114no—
391#465—114no—
392#464—114no—
393#461—114no—
394#460—114no—
395#452—114no—
396#452—114no—
397#451—112no—
398#450—114no—
399#450—114no—
400#450—114no—
401#450—114no—
402#450—114no—
403#448—112no—
404#448—114no—
405#440—114no—
406C4×SD16—114no—
407#435—114no—
408C8×D4—114no—
409#433—112no—
410#418—112no—
411#416—112no—
412C2×#102—114no—
413#408—112no—
414C2×C22⋊C8—112no—
415C22×C11—22no—
416C22×C11—22no—
417C22×C11—21no—
418C22×C11—22no—
419C22×C11—24no—
420C22×C11—22no—
421C22×C11—44no—
422C22×C11#57714yes—
423C22×C11C23×D411yescharacteristic
424C2×D11—24no—
425C2×D11—44no—
426C2×D11—42no—
427C2×D11—41no—
428C2×D11—44no—
429C2×D11—42no—
430C2×D11—84no—
431C2×D11—816no—
432C2×D11—84no—
433C2×D11—164no—
434C4×C11—21no—
435C4×C11—22no—
436C4×C11—22no—
437C4×C11—24no—
438C4×C11—44no—
439C4×C11—44no—
440C4×C11C2×H(5,𝔽2)12yes—
441Dic11—41no—
442Dic11—42no—
443C25—221no—
444H(5,𝔽2)—444no—
445C2×#41—112no—
446C2×#41—111no—
447C2×#41—221no—
448C2×#41C22×D1111yescharacteristic
449C22×Q8C22×D1112yes—
450C22×Q8C22×D1112yescomplemented
451C22×D4—111no—
452C22×D4—112no—
453C22×D4—114no—
454C22×D4—111no—
455C22×D4—222no—
456C22×D4—221no—
457C22×D4—224no—
458C22×D4—221no—
459C22×D4—222no—
460C22×D4—444no—
461C23×C4C22×D1111yescharacteristic
462#137—444no—
463C2×Q16—114no—
464C2×SD16—114no—
465C2×SD16—114no—
466C2×SD16—114no—
467C2×SD16—114no—
468C2×SD16—114no—
469C2×SD16—444no—
470C2×SD16—448no—
471C2×M16—112no—
472C22×C8—114no—
473C22×C8—112no—
474C4⋊Q8—22no—
475C4⋊Q8—24no—
476C4⋊Q8C22×D1112yescomplemented
477#127—112no—
478#127—221no—
479#126—24no—
480#126—24no—
481#125—24no—
482#125—24no—
483#125C22×D1112yescomplemented
484#124—22no—
485#124—112no—
486#124—221no—
487#123—22no—
488#123—22no—
489#123—24no—
490#123—221no—
491#123—224no—
492#123C22⋊D1112yes—
493C22⋊Q8—22no—
494C22⋊Q8—22no—
495C22⋊Q8—24no—
496C22⋊Q8—24no—
497C22⋊Q8—112no—
498C22⋊Q8C22⋊D1112yes—
499C22⋊Q8C22×D1114yes—
500C22⋊Q8C22×D1114yes—
501C22⋊Q8C22×D1114yescomplemented
502#121—112no—
503#121—114no—
504#121—224no—
505#121—222no—
506#121—224no—
507#121C22⋊D1112yes—
508#120—221no—
509#120—222no—
510#120—224no—
511#120—222no—
512#120—224no—
513#120—224no—
514#120C22⋊D1112yes—
515C4×Q8C22×D1114yescomplemented
516C4×D4—24no—
517C4×D4—114no—
518C4×D4—222no—
519C4×D4—222no—
520C4×D4C22×D1114yes—
521#117—24no—
522#117—111no—
523#117C22×D1111yescharacteristic
524#117C22×D1112yescomplemented
525C2×C4⋊C4—22no—
526C2×C4⋊C4C22×D1112yes—
527C2×C22⋊C4—22no—
528C2×C22⋊C4—222no—
529C2×C22⋊C4—224no—
530#107—114no—
531#106—114no—
532C4⋊C8—114no—
533#103—114no—
534#103—114no—
535#103—114no—
536#102—114no—
537#102—114no—
538#102—114no—
539#102—114no—
540#102—114no—
541C22⋊C8—114no—
542C22⋊C8—112no—
543C22⋊C8—112no—
544C22⋊C8—114no—
545#97—112no—
546C4×C8—112no—
547C2×C11—24no—
548C2×C11—41no—
549C2×C11—42no—
550C2×C11#348411yescharacteristic
551C2×C11C2×#57712yes—
552D11—44no—
553D11—82no—
554D11—81no—
555C24—221no—
556C24—224no—
557C24—221no—
558C24—222no—
559C24—444no—
560C24—884no—
561C24C2×C22⋊D1111yescharacteristic
562#41—42no—
563#41—224no—
564#41—442no—
565#41—442no—
566#41—444no—
567C2×Q8—22no—
568C2×Q8—22no—
569C2×Q8—44no—
570C2×Q8—42no—
571C2×Q8—42no—
572C2×Q8—111no—
573C2×Q8C2×C22⋊D1111yescharacteristic
574C2×Q8C23×D1114yes—
575C2×D4—112no—
576C2×D4—112no—
577C2×D4—111no—
578C2×D4—224no—
579C2×D4—228no—
580C2×D4—224no—
581C2×D4—222no—
582C2×D4—221no—
583C2×D4—222no—
584C2×D4—224no—
585C2×D4—221no—
586C2×D4—222no—
587C2×D4—224no—
588C2×D4—221no—
589C2×D4—224no—
590C2×D4—444no—
591C2×D4—442no—
592C2×D4—442no—
593C2×D4—448no—
594C2×D4—444no—
595C2×D4—444no—
596C2×D4—448no—
597C2×D4—888no—
598C2×D4C2×C22⋊D1114yes—
599C2×D4C2×C22⋊D1112yes—
600C2×D4C2×C22⋊D1111yescharacteristic
601C22×C4—22no—
602C22×C4—22no—
603C22×C4—22no—
604C22×C4—42no—
605C22×C4—222no—
606C22×C4—221no—
607C22×C4—224no—
608C22×C4C2×C22⋊D1112yes—
609C22×C4C2×C22⋊D1111yescharacteristic
610C22×C4C23×D1111yescharacteristic
611C22×C4C23×D1112yes—
612C22×C4C23×D1112yes—
613Q16—444no—
614SD16—228no—
615SD16—228no—
616SD16—444no—
617SD16—444no—
618SD16—444no—
619M16—442no—
620C2×C8—114no—
621C2×C8—114no—
622C2×C8—442no—
623C2×C8—444no—
624C4⋊C4—24no—
625C4⋊C4—24no—
626C4⋊C4—22no—
627C4⋊C4—24no—
628C4⋊C4—24no—
629C4⋊C4—24no—
630C4⋊C4—24no—
631C4⋊C4—112no—
632C4⋊C4—222no—
633C4⋊C4C2×C22⋊D1112yes—
634C4⋊C4C2×C22⋊D1114yes—
635C4⋊C4C23×D1114yes—
636C22⋊C4—24no—
637C22⋊C4—24no—
638C22⋊C4—22no—
639C22⋊C4—24no—
640C22⋊C4—221no—
641C22⋊C4—222no—
642C22⋊C4—224no—
643C22⋊C4—224no—
644C22⋊C4—224no—
645C22⋊C4—222no—
646C22⋊C4C2×C22⋊D1114yes—
647C22⋊C4C2×C22⋊D1112yes—
648C22⋊C4C2×C22⋊D1114yes—
649C42—22no—
650C42—24no—
651C42—221no—
652C42C23×D1112yes—
653C11#6163111yescharacteristic, complemented, Sylow
654C23—24no—
655C23—41no—
656C23—224no—
657C23—222no—
658C23—222no—
659C23—221no—
660C23—448no—
661C23—444no—
662C23—442no—
663C23—448no—
664C23—884no—
665C23—882no—
666C23—882no—
667C23—884no—
668C23—8816no—
669C23C22×C22⋊D1111yescharacteristic
670C23C22×C22⋊D1112yes—
671C23C22×C22⋊D1112yes—
672Q8—24no—
673Q8—24no—
674Q8—41no—
675Q8—82no—
676Q8—82no—
677Q8—222no—
678D4—28no—
679D4—41no—
680D4—42no—
681D4—114no—
682D4—224no—
683D4—222no—
684D4—224no—
685D4—222no—
686D4—448no—
687D4—444no—
688D4—442no—
689D4—444no—
690D4—442no—
691D4—444no—
692D4—884no—
693D4—884no—
694C2×C4—24no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—24no—
699C2×C4—24no—
700C2×C4—42no—
701C2×C4—41no—
702C2×C4—44no—
703C2×C4—82no—
704C2×C4—82no—
705C2×C4—222no—
706C2×C4—221no—
707C2×C4—444no—
708C2×C4—442no—
709C2×C4—884no—
710C2×C4C22×C22⋊D1114yes—
711C2×C4C22×C22⋊D1112yes—
712C2×C4C22×C22⋊D1111yescharacteristic
713C2×C4C22×C22⋊D1112yes—
714C2×C4C24×D1111yescharacteristic
715C8—224no—
716C8—224no—
717C22—22no—
718C22—22no—
719C22—21no—
720C22—22no—
721C22—24no—
722C22—22no—
723C22—44no—
724C22—224no—
725C22—444no—
726C22—441no—
727C22—442no—
728C22—442no—
729C22—444no—
730C22—8816no—
731C22—884no—
732C22—884no—
733C22—1764no—
734C22#1062336814yes—
735C22C23×C22⋊D1111yescharacteristic
736C4—21no—
737C4—22no—
738C4—22no—
739C4—24no—
740C4—44no—
741C4—44no—
742C4—441no—
743C4—442no—
744C4D11×H(5,𝔽2)12yes—
745C2—24no—
746C2—41no—
747C2—42no—
748C2—444no—
749C2—882no—
750C2—881no—
751C2#1308224711yescharacteristic
752C2C2×#1062336812yes—
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3538C2
socleC22×C11C23×D4
prime radical#13082249C2
hypercenter#3538D11
hypocenterC11#61631
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #525 ◁ #3538

Complements

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

NH ≅ G/Ntype
2. #13080631C2semidirect
3. #13080445C2semidirect
4. D4×#4325C2semidirect
5. #13080127C2semidirect
6. #13079682C2semidirect
7. #13079483C2semidirect
8. #13079397C2semidirect
9. #13078863C2semidirect
10. #13077891C2semidirect
11. C2×#10622659C2semidirect
12. #13077672C2semidirect
13. C11×#3538C2semidirect
17. C11×#552C22semidirect
19. D4×Q8×C11C22semidirect
21. C11×#541C22semidirect
23. C11×#536C22semidirect
25. C2×C11×C22⋊Q8C22semidirect
27. C2×#66995C22semidirect
28. C22×#4325C22semidirect
29. C22×#4325C22semidirect
39. #10622847C22semidirect
40. #10622841C22semidirect
41. #10622840C22semidirect
42. #10622840C22semidirect
43. C2×C22⋊(C11⋊C8)C22semidirect
44. #10622699C22semidirect
45. #10622698C22semidirect
46. #10622696C22semidirect
47. #10622681C22semidirect
48. #10622680C22semidirect
49. #10622679C22semidirect
50. #10622664C22semidirect
51. #10622662C22semidirect
52. #10622661C22semidirect
53. #10622661C22semidirect
54. #10622660C22semidirect
55. #10622660C22semidirect
57. #10622659C22semidirect
58. #10622659C22semidirect
59. #10622659C22semidirect
60. #10622659C22semidirect
61. #10622658C22semidirect
62. #10622641C22semidirect
63. #10622640C22semidirect
64. #10622639C22semidirect
65. C4×#4325C22semidirect
66. #10622624C22semidirect
67. D4×C11⋊C8C22semidirect
68. #10622616C22semidirect
69. #10622615C22semidirect
70. #10622614C22semidirect
71. #10622613C22semidirect
72. #10622584C22semidirect
73. #10622580C22semidirect
74. C2×#66873C22semidirect
78. C22×Q8×C11C23semidirect
96. C11×C4⋊Q8C23semidirect
101. C11×#125C23semidirect
114. C11×C22⋊Q8C23semidirect
117. C4×Q8×C11C23semidirect
122. C11×#117C23semidirect
128. C2×#4326C23semidirect
136. C2×#4325C23semidirect
146. C2×#4318C23semidirect
148. C22×C11⋊C8C23semidirect
162. #66899C23semidirect
163. #66899C23semidirect
167. C22⋊(C11⋊C8)C23semidirect
168. #66874C23semidirect
173. #66873C23semidirect
174. #66872C23semidirect
175. #66871C23semidirect
176. C4⋊(C11⋊C8)C23semidirect
177. #66867C23semidirect
178. C4×C11⋊C8C23semidirect
278. #3538D11semidirect
360. #552C2×D11semidirect
362. D4×Q8C2×D11semidirect
368. #541C2×D11semidirect
370. #536C2×D11semidirect
376. C2×C22⋊Q8C2×D11semidirect
450. C22×Q8C22×D11semidirect
476. C4⋊Q8C22×D11semidirect
483. #125C22×D11semidirect
501. C22⋊Q8C22×D11semidirect
515. C4×Q8C22×D11semidirect
524. #117C22×D11semidirect
653. C11#61631semidirect

Maximal subgroups

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

subgroupindex
#130822492
#130806312
#130804452
D4×#43252
#130801272
#130796822
#130794832
#130793972
#130788632
#130778912
C2×#106226592
#130776722
C11×#35382
#6163111