Finite Group Databasebeta

← #25986933

Subgroups — #25986933

Order 11008.

1772 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19148993C211yesmaximal, characteristic, complemented
2#19148396C211yesmaximal, characteristic, complemented
3#19147550C214yesmaximal, complemented
4#19147498C212yesmaximal, complemented
5#19147461C212yesmaximal, complemented
6#19147301C212yesmaximal, complemented
7#19147299C214yesmaximal, complemented
8#19147229C212yesmaximal, complemented
9#19145846C214yesmaximal, complemented
10#19145731C211yesmaximal, characteristic, complemented
11#19144834C214yesmaximal, complemented
12#19144687C211yesmaximal, characteristic, complemented
13#19144591C211yesmaximal, characteristic, complemented
14#19143692C211yesmaximal, characteristic, complemented
15C43×#3235C211yesmaximal, characteristic, complemented
16#14583643—22no—
17#14583610C2212yes—
18#14583610C2212yescomplemented
19#14583609—21no—
20#14583609—22no—
21#14583606C2212yescomplemented
22#14583605C2214yes—
23#14583570C2212yescomplemented
24#14583569C2212yescomplemented
25Q8×D172—21no—
26#14583564C2212yes—
27#14583554—21no—
28#14583553—21no—
29#14583527C2212yes—
30#14583524—22no—
31#14583502C2214yes—
32#14583478—22no—
33#14583477—22no—
34#14583456C2211yescharacteristic
35#14583449C2211yescharacteristic
36C22⋊Q8×D43—22no—
37#14583373C2212yes—
38C2×C4×D172C2211yescharacteristic
39#14583307C2214yescomplemented
40#14583302C2211yescharacteristic, complemented
41#14583299C2214yescomplemented
42#14583295C2211yescharacteristic, complemented
43#14583262C2214yescomplemented
44#14583247C2211yescharacteristic, complemented
45#14583247C2211yescharacteristic, complemented
46#14583244C2214yescomplemented
47#14583223C2214yes—
48#14583218C2212yes—
49#14583210C2212yes—
50#14583202C2214yes—
51#14583201C2214yescomplemented
52#14583198C2214yes—
53#14583198C2214yescomplemented
54#14583196C2214yescomplemented
55#14583190C2212yes—
56#14583187C2214yescomplemented
57#14583178C2214yescomplemented
58#14583176C2212yes—
59#14583095C2212yes—
60#14583093C2214yes—
61#14583093C2214yes—
62#14583091C2212yes—
63#14583035C2212yes—
64#14583032C2212yes—
65#14583027C2214yescomplemented
66#14583026C2212yescomplemented
67#14583023C2212yescomplemented
68#14583012C2214yes—
69#14583010C2214yes—
70#14583008C2214yes—
71#14582981C2214yes—
72C4×#10621882C2212yes—
73C4×#10621882C2212yes—
74#14582979C2214yes—
75#14582957C2214yes—
76#14582952C2211yescharacteristic
77C43×#533C2211yescharacteristic
78C43×#532C2211yescharacteristic
79C43×#501C2212yescomplemented
80C43×#490C2212yescomplemented
81C43×#482C2214yes—
82C43×#476C2212yescomplemented
83C43×#474C2212yescomplemented
84C43×#432C2211yescharacteristic
85C2×#10621898—21no—
86C2×#10621898—22no—
87C2×#10621900—22no—
88C2×Q8×D43—22no—
89C22×D172C2311yescharacteristic
90C22×C4×D43—21no—
91C2×D344C2314yes—
92C2×#10621882C2312yes—
93C2×#10621882C2312yes—
94#13063325—22no—
95#13063325D411yescharacteristic
96#13063325D411yescharacteristic
97#13063325C2311yescharacteristic
98#13063324C2314yes—
99#13063322C2311yescharacteristic
100#13063321C2314yes—
101#13063317—22no—
102#13063317D412yes—
103#13063316C2314yes—
104#13063316C2314yes—
105#13063313—21no—
106#13063309—24no—
107#13063307—24no—
108#13063305—22no—
109#13063305—22no—
110#13063305—24no—
111#13063304—22no—
112#13063304D412yes—
113#13063304D412yes—
114#13063303—24no—
115#13063303—24no—
116#13063303—24no—
117#13063302—24no—
118#13063302—24no—
119#13063301—22no—
120#13063301—24no—
121#13063301—24no—
122#13063299—21no—
123#13063299—22no—
124#13063299C2312yes—
125#13063298—24no—
126#13063297—24no—
127#13063297—24no—
128#13063296—24no—
129#13063296—22no—
130C4×Dic86C2312yes—
131C4×Dic86C2312yes—
132C4×D172—21no—
133C4×D172—21no—
134C4×D172—21no—
135C4×D172—22no—
136C4×D172—22no—
137C4×D172C2312yes—
138C4×D172C2312yes—
139C4×D172C2312yes—
140D4×Dic43C2314yes—
141#13063287C2314yes—
142#13063287C2314yes—
143#13063287C2314yes—
144#13063284C2312yes—
145C2×C4⋊Dic43—22no—
146C2×C4⋊Dic43C2311yescharacteristic
147C4⋊C4×D43—22no—
148C4⋊C4×D43—22no—
149C4⋊C4×D43—24no—
150C2×(C2×D43)⋊C4—21no—
151C22⋊C4×D43—24no—
152#13063258C2312yes—
153#13063258C2314yes—
154#13063258C2312yes—
155#13063257C2314yes—
156#13063256C2314yes—
157C4⋊(C43⋊C8)C2312yes—
158Dic43⋊C8C2314yes—
159Dic43⋊C8C2314yes—
160#13063247C2314yes—
161#13063247C2314yes—
162#13063246C2312yes—
163#13063246C2312yes—
164#13063245C2314yes—
165#13063245C2314yes—
166#13063245C2312yes—
167#13063245C2312yes—
168C22⋊(C43⋊C8)C2312yes—
169#13063235C2314yes—
170C4×C43⋊C8C2311yescharacteristic
171C4×C43⋊C8C2311yescharacteristic
172C8×Dic43C2314yes—
173C2×#41×C43—21no—
174C4⋊Q8×C43C2311yescharacteristic
175C4⋊Q8×C43C2311yescharacteristic
176C4⋊Q8×C43C2311yescharacteristic
177#127×C43C2311yescharacteristic
178#125×C43C2312yes—
179#124×C43—21no—
180C22⋊Q8×C43—21no—
181C22⋊Q8×C43—21no—
182#121×C43—21no—
183#121×C43C2312yes—
184C4×Q8×C43—21no—
185C4×Q8×C43—21no—
186C4×D4×C43—21no—
187C4×D4×C43C2312yes—
188#117×C43C2312yes—
189C2×C42×C43C2311yescharacteristic
190#107×C43C2314yes—
191#106×C43C2314yes—
192C4⋊C8×C43C2312yes—
193#102×C43C2314yes—
194#102×C43C2314yes—
195C22⋊C8×C43C2312yes—
196#97×C43C2312yes—
197C23×D43—21no—
198#41×C43—82no—
199C2×Q8×C43—21no—
200C2×Q8×C43—21no—
201C2×Q8×C43—21no—
202C2×D4×C43—21no—
203C2×D4×C43—21no—
204C2×D4×C43—22no—
205C2×D4×C43C2412yes—
206C22×C4×C43—22no—
207C22×C4×C43C2×D411yescharacteristic
208C22×C4×C43C2×D411yescharacteristic
209C22×C4×C43C2411yescharacteristic
210C2×C22⋊D43—24no—
211C2×C22⋊D43—24no—
212C2×C22⋊D43—22no—
213C22×Dic43—24no—
214C22×Dic43—21no—
215Q8×D43—84no—
216#10621900—84no—
217#10621898—84no—
218#10621898—82no—
219C2×D172—21no—
220C2×D172—24no—
221C2×D172—21no—
222C2×D172—21no—
223C2×D172C2412yes—
224C2×D172C2412yes—
225C2×C4×D43—22no—
226C2×C4×D43—22no—
227C2×C4×D43—22no—
228C2×C4×D43—24no—
229C2×C4×D43—24no—
230C2×C4×D43—24no—
231C2×C4×D43—82no—
232C2×Dic86—21no—
233C2×Dic86—24no—
234C2×Dic86C2×D412yes—
235C2×Dic86C2×D412yes—
236C2×C8×C43C2414yes—
237C4⋊C4×C43—21no—
238C4⋊C4×C43—22no—
239C4⋊C4×C43—22no—
240C4⋊C4×C43—21no—
241C4⋊C4×C43—21no—
242C4⋊C4×C43C2412yes—
243C4⋊C4×C43C2412yes—
244C4⋊C4×C43C2412yes—
245C22⋊C4×C43—22no—
246C22⋊C4×C43—22no—
247C22⋊C4×C43—22no—
248C42×C43—22no—
249C42×C43C2×D411yescharacteristic
250C42×C43C2×D411yescharacteristic
251C42×C43C2411yescharacteristic
252C42×C43C2411yescharacteristic
253C22⋊Dic43—24no—
254C22⋊Dic43C2×D414yes—
255#10621882—24no—
256#10621882—24no—
257(C2×D43)⋊C4—22no—
258(C2×D43)⋊C4—22no—
259(C2×D43)⋊C4—22no—
260(C2×D43)⋊C4—22no—
261(C2×D43)⋊C4—24no—
262(C2×D43)⋊C4—24no—
263(C2×D43)⋊C4—24no—
264C4⋊Dic43—21no—
265C4⋊Dic43—21no—
266C4⋊Dic43—24no—
267C4⋊Dic43—24no—
268C4⋊Dic43C2×D412yes—
269C4⋊Dic43C2×D412yes—
270C4⋊Dic43C2×D412yes—
271C4⋊Dic43C2×D412yes—
272C4⋊Dic43C2412yes—
273C4⋊Dic43C2412yes—
274Dic43⋊C4—24no—
275Dic43⋊C4—24no—
276Dic43⋊C4—24no—
277Dic43⋊C4C2×D414yes—
278Dic43⋊C4C2×D414yes—
279C4×Dic43C2414yes—
280C2×C43⋊C8C2412yes—
281C2×C43⋊C8C2412yes—
282D344—28no—
283C23×C43—22no—
284C23×C43C22×D411yescharacteristic
285C22×D43—22no—
286C22×D43—24no—
287C22×D43—22no—
288C22×D43—81no—
289C22×D43—81no—
290Q8×C43—42no—
291Q8×C43—81no—
292Q8×C43—81no—
293D4×C43—22no—
294D4×C43—22no—
295D4×C43—42no—
296D4×C43—81no—
297D4×C43—82no—
298C2×C4×C43—22no—
299C2×C4×C43—22no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—22no—
303C2×C4×C43—41no—
304C2×C4×C43—44no—
305C2×C4×C43C22×D411yescharacteristic
306C2×C4×C43C22×D411yescharacteristic
307C2×C4×C43C22×D411yescharacteristic
308C2×C4×C43C22×D411yescharacteristic
309C2×C4×C43C22×D411yescharacteristic
310C2×C4×C43C2511yescharacteristic
311C22⋊D43—84no—
312C22⋊D43—84no—
313C22⋊D43—82no—
314C2×Dic43—22no—
315C2×Dic43—22no—
316C2×Dic43—84no—
317C2×Dic43—81no—
318C2×Dic43C22×D414yes—
319C2×Dic43C22×D414yes—
320D172—24no—
321D172—22no—
322D172—24no—
323D172—42no—
324D172—81no—
325D1722−1+414yes—
326C4×D43—44no—
327C4×D43—44no—
328C4×D43—84no—
329C4×D43—84no—
330C4×D43—84no—
331C4×D43—82no—
332Dic86—24no—
333Dic86—42no—
334Dic86—84no—
335Dic86—81no—
336C8×C43—24no—
337C43⋊C8—22no—
338C43⋊C8—22no—
339#61847—431nomaximal, Sylow
340C22×C43—21no—
341C22×C43—21no—
342C22×C43—21no—
343C22×C43—42no—
344C22×C43—42no—
345C22×C43—42no—
346C22×C43C23×D411yescharacteristic
347C2×D43—24no—
348C2×D43—42no—
349C2×D43—42no—
350C2×D43—42no—
351C2×D43—42no—
352C2×D43—42no—
353C2×D43—84no—
354C4×C43—21no—
355C4×C43—21no—
356C4×C43—21no—
357C4×C43—21no—
358C4×C43—42no—
359C4×C43—42no—
360C4×C43—42no—
361C4×C43#57612yes—
362C4×C43C2×2−1+412yes—
363Dic43—24no—
364Dic43—24no—
365Dic43—42no—
366Dic43—42no—
367#3548—431no—
368#3501—431no—
369#3389—434no—
370#3384—432no—
371#3380—432no—
372#3366—434no—
373#3366—432no—
374#3358—432no—
375#3241—434no—
376#3235D4311yescharacteristic, complemented
377#3228—431no—
378#3122—434no—
379#3109—431no—
380#3100—431no—
381#2985—431no—
382C2×C43—41no—
383C2×C43—82no—
384C2×C43#348611yescharacteristic
385C2×C43C2×#57611yescharacteristic
386C2×C43#358511yescharacteristic
387D43—44no—
388D43—82no—
389#562—862no—
390#554—432no—
391#554—432no—
392#554—434no—
393#554—432no—
394#554—862no—
395#554—861no—
396#550—432no—
397#550—432no—
398D4×Q8—432no—
399D4×Q8—861no—
400#547—861no—
401#547—861no—
402#544—432no—
403#543—862no—
404#540—434no—
405#537—862no—
406#537—862no—
407#533—431no—
408#533C2×D4311yescharacteristic
409#532—431no—
410#532C2×D4311yescharacteristic
411C2×C22⋊Q8—862no—
412#518—432no—
413C2×C4×D4—431no—
414#501—434no—
415#501C2×D4312yescomplemented
416#500—431no—
417#499—434no—
418#498—431no—
419#490—434no—
420#490C2×D4312yescomplemented
421#486—431no—
422#486—431no—
423#486—434no—
424#482—434no—
425#482C2×D4314yes—
426#481—432no—
427#480—432no—
428#478—434no—
429#478—434no—
430#478—434no—
431#478—434no—
432#478—434no—
433#476—432no—
434#476—434no—
435#476C2×D4312yescomplemented
436#474—432no—
437#474—434no—
438#474C2×D4312yescomplemented
439#459—432no—
440#459—432no—
441#459—434no—
442#459—434no—
443#447—432no—
444#447—432no—
445#446—432no—
446#446—434no—
447C8×Q8—432no—
448#442—434no—
449#442—434no—
450#442—434no—
451C4×D8—432no—
452C4×D8—432no—
453C4×D8—434no—
454C4×D8—434no—
455#433—434no—
456#432C2×D4311yescharacteristic
457#431—431no—
458C43#6184711yescharacteristic, complemented, Sylow
459C2×#41—21no—
460C2×#41—862no—
461C2×#41—862no—
462C2×#41—861no—
463C22×Q8—862no—
464C22×D4—431no—
465C23×C4—861no—
466C2×D8—432no—
467C2×D8—432no—
468C2×D8—434no—
469C4⋊Q8—434no—
470C4⋊Q8—431no—
471C4⋊Q8—431no—
472C4⋊Q8—431no—
473C4⋊Q8—862no—
474C4⋊Q8C22×D4311yescharacteristic
475C4⋊Q8C22×D4311yescharacteristic
476C4⋊Q8C22×D4311yescharacteristic
477#127—434no—
478#127—431no—
479#127C22×D4311yescharacteristic
480#125—434no—
481#125—434no—
482#125—432no—
483#125—862no—
484#125C22×D4312yes—
485#124—21no—
486#124—861no—
487#123—864no—
488#123—864no—
489C22⋊Q8—21no—
490C22⋊Q8—21no—
491C22⋊Q8—432no—
492C22⋊Q8—432no—
493C22⋊Q8—864no—
494C22⋊Q8—864no—
495C22⋊Q8—864no—
496C22⋊Q8—864no—
497C22⋊Q8—864no—
498C22⋊Q8—862no—
499C22⋊Q8—862no—
500C22⋊Q8—864no—
501C22⋊Q8—862no—
502C22⋊Q8—864no—
503C22⋊Q8—864no—
504C22⋊Q8—862no—
505#121—21no—
506#121—432no—
507#121—864no—
508#121—864no—
509#121—864no—
510#121—862no—
511#121—862no—
512#121—864no—
513#121—861no—
514#121C22×D4312yes—
515C4×Q8—21no—
516C4×Q8—21no—
517C4×Q8—432no—
518C4×Q8—432no—
519C4×D4—21no—
520C4×D4—434no—
521C4×D4—434no—
522C4×D4—434no—
523C4×D4—434no—
524C4×D4—432no—
525C4×D4—432no—
526C4×D4—432no—
527C4×D4—862no—
528C4×D4—862no—
529C4×D4—861no—
530C4×D4—861no—
531C4×D4—861no—
532C4×D4C22×D4312yes—
533#117—432no—
534#117C22×D4312yes—
535C2×C4⋊C4—431no—
536C2×C4⋊C4—864no—
537C2×C4⋊C4—862no—
538C2×C4⋊C4—862no—
539C2×C4⋊C4—862no—
540C2×C22⋊C4—864no—
541C2×C22⋊C4—861no—
542C2×C42C22×D4311yescharacteristic
543#107—432no—
544#107—432no—
545#107—434no—
546#107C22×D4314yes—
547#106—434no—
548#106—434no—
549#106C22×D4314yes—
550C4⋊C8—434no—
551C4⋊C8—434no—
552C4⋊C8—432no—
553C4⋊C8C22×D4312yes—
554#102—432no—
555#102—432no—
556#102—434no—
557#102—434no—
558#102—432no—
559#102—432no—
560#102—434no—
561#102—434no—
562#102C22×D4314yes—
563#102C22×D4314yes—
564C22⋊C8—432no—
565C22⋊C8C22×D4312yes—
566#97—434no—
567#97C22×D4312yes—
568C4×C8—434no—
569C4×C8—431no—
570C4×C8—431no—
571C24—861no—
572#41—82no—
573#41—3444no—
574#41—3442no—
575#41—3444no—
576C2×Q8—21no—
577C2×Q8—21no—
578C2×Q8—21no—
579C2×Q8—432no—
580C2×Q8—432no—
581C2×Q8—864no—
582C2×Q8—861no—
583C2×Q8—3444no—
584C2×D4—22no—
585C2×D4—21no—
586C2×D4—21no—
587C2×D4—432no—
588C2×D4—432no—
589C2×D4—864no—
590C2×D4—864no—
591C2×D4—864no—
592C2×D4—862no—
593C2×D4—861no—
594C2×D4—861no—
595C2×D4—861no—
596C2×D4C23×D4312yes—
597C22×C4—22no—
598C22×C4—864no—
599C22×C4—864no—
600C22×C4—864no—
601C22×C4—864no—
602C22×C4—861no—
603C22×C4—862no—
604C22×C4—862no—
605C22×C4—862no—
606C22×C4—3442no—
607C22×C4D4×D4311yescharacteristic
608C22×C4D4×D4311yescharacteristic
609C22×C4C23×D4311yescharacteristic
610D8—868no—
611D8—864no—
612D8—864no—
613C2×C8—432no—
614C2×C8—432no—
615C2×C8C23×D4314yes—
616C4⋊C4—21no—
617C4⋊C4—22no—
618C4⋊C4—21no—
619C4⋊C4—22no—
620C4⋊C4—21no—
621C4⋊C4—432no—
622C4⋊C4—434no—
623C4⋊C4—432no—
624C4⋊C4—432no—
625C4⋊C4—432no—
626C4⋊C4—434no—
627C4⋊C4—432no—
628C4⋊C4—432no—
629C4⋊C4—864no—
630C4⋊C4—864no—
631C4⋊C4—864no—
632C4⋊C4—864no—
633C4⋊C4—864no—
634C4⋊C4—861no—
635C4⋊C4—861no—
636C4⋊C4C23×D4312yes—
637C4⋊C4C23×D4312yes—
638C4⋊C4C23×D4312yes—
639C22⋊C4—22no—
640C22⋊C4—22no—
641C22⋊C4—22no—
642C22⋊C4—434no—
643C22⋊C4—864no—
644C22⋊C4—864no—
645C22⋊C4—864no—
646C22⋊C4—864no—
647C22⋊C4—862no—
648C22⋊C4—862no—
649C22⋊C4—862no—
650C22⋊C4—862no—
651C42—22no—
652C42—434no—
653C42D4×D4311yescharacteristic
654C42D4×D4311yescharacteristic
655C42C23×D4311yescharacteristic
656C42C23×D4311yescharacteristic
657C23—22no—
658C23—864no—
659C23—862no—
660C23—862no—
661C23—3441no—
662C23—3441no—
663C23C2×D4×D4311yescharacteristic
664Q8—42no—
665Q8—81no—
666Q8—81no—
667Q8—864no—
668Q8—3441no—
669Q8—3444no—
670Q8—1722no—
671D4—22no—
672D4—22no—
673D4—42no—
674D4—81no—
675D4—82no—
676D4—434no—
677D4—864no—
678D4—862no—
679D4—864no—
680D4—3441no—
681D4—3444no—
682D4—3444no—
683D4—3442no—
684D4—1722no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—41no—
691C2×C4—44no—
692C2×C4—434no—
693C2×C4—434no—
694C2×C4—862no—
695C2×C4—862no—
696C2×C4—3442no—
697C2×C4—3444no—
698C2×C4—3444no—
699C2×C4—3444no—
700C2×C4—3444no—
701C2×C4—3441no—
702C2×C4—1724no—
703C2×C4—1724no—
704C2×C4C2×D4×D4311yescharacteristic
705C2×C4C2×D4×D4311yescharacteristic
706C2×C4C2×D4×D4311yescharacteristic
707C2×C4C2×D4×D4311yescharacteristic
708C2×C4C2×D4×D4311yescharacteristic
709C2×C4C24×D4311yescharacteristic
710C8—24no—
711C8—862no—
712C8—862no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—864no—
720C22—3444no—
721C22—1722no—
722C22—1722no—
723C22—1722no—
724C22—1722no—
725C22—1722no—
726C22C22×D4×D4311yescharacteristic
727C4—21no—
728C4—21no—
729C4—21no—
730C4—21no—
731C4—42no—
732C4—42no—
733C4—42no—
734C4—864no—
735C4—864no—
736C4—1722no—
737C4—1722no—
738C4#1458370312yes—
739C42−1+4×D4312yes—
740C2—41no—
741C2—82no—
742C2—3442no—
743C2—1724no—
744C2#1914824411yescharacteristic
745C2C2×#1458370311yescharacteristic
746C2#1914937211yescharacteristic
subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3235C2
socleC22×C43C23×D4
hypercenter#3235D43
hypocenterC43#61847
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3235

Complements

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

NH ≅ G/Ntype
1. #19148993C2semidirect
2. #19148396C2semidirect
3. #19147550C2semidirect
4. #19147498C2semidirect
5. #19147461C2semidirect
6. #19147301C2semidirect
7. #19147299C2semidirect
8. #19147229C2semidirect
9. #19145846C2semidirect
10. #19145731C2semidirect
11. #19144834C2semidirect
12. #19144687C2semidirect
13. #19144591C2semidirect
14. #19143692C2semidirect
15. C43×#3235C2semidirect
18. #14583610C22semidirect
21. #14583606C22semidirect
23. #14583570C22semidirect
24. #14583569C22semidirect
39. #14583307C22semidirect
40. #14583302C22semidirect
41. #14583299C22semidirect
42. #14583295C22semidirect
43. #14583262C22semidirect
44. #14583247C22semidirect
45. #14583247C22semidirect
46. #14583244C22semidirect
51. #14583201C22semidirect
53. #14583198C22semidirect
54. #14583196C22semidirect
56. #14583187C22semidirect
57. #14583178C22semidirect
65. #14583027C22semidirect
66. #14583026C22semidirect
67. #14583023C22semidirect
79. C43×#501C22semidirect
80. C43×#490C22semidirect
82. C43×#476C22semidirect
83. C43×#474C22semidirect
376. #3235D43semidirect
415. #501C2×D43semidirect
420. #490C2×D43semidirect
435. #476C2×D43semidirect
438. #474C2×D43semidirect
458. C43#61847semidirect

Maximal subgroups

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

subgroupindex
#191489932
#191483962
#191475502
#191474982
#191474612
#191473012
#191472992
#191472292
#191458462
#191457312
#191448342
#191446872
#191445912
#191436922
C43×#32352
#6184743