Finite Group Databasebeta

← #25117393

Subgroups — #25117393

Order 11008.

1020 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583078C211yesmaximal, characteristic
2#19143441C211yesmaximal, characteristic, complemented
3#19143440C211yesmaximal, characteristic, complemented
4#19143122C211yesmaximal, characteristic
5#19143117C211yesmaximal, characteristic
6#19135411C211yesmaximal, characteristic, complemented
7#19135258C211yesmaximal, characteristic, complemented
8#19135257C211yesmaximal, characteristic, complemented
9#19135110C211yesmaximal, characteristic, complemented
10#19135109C211yesmaximal, characteristic, complemented
11#19134997C211yesmaximal, characteristic, complemented
12#19134823C211yesmaximal, characteristic, complemented
13#19134822C211yesmaximal, characteristic, complemented
14#19134439C211yesmaximal, characteristic, complemented
15C43×#1765C211yesmaximal, characteristic, complemented
16C2×#13063371C2211yescharacteristic
17C2×#13063358C2211yescharacteristic
18C2×#13063355C2211yescharacteristic
19C2×#13063331C2211yescharacteristic
20C2×#13063313C2211yescharacteristic
21#14583382C2211yescharacteristic
22#14583379C2211yescharacteristic
23#14583376C2211yescharacteristic, complemented
24#14583078C418yescomplemented
25#14583007—21no—
26#14583003—21no—
27#14583001—21no—
28#14582996—21no—
29C4×Dic172—21no—
30#14582991—21no—
31#14582990—21no—
32C4×#10621873—21no—
33#14582942C2211yescharacteristic, complemented
34#14582941C2211yescharacteristic, complemented
35C2×#13063253C2211yescharacteristic
36#14582905—21no—
37#14582905C2211yescharacteristic
38#14582903C2211yescharacteristic
39#14582902—21no—
40#14582901—21no—
41#14582901C2211yescharacteristic
42#14582900C2211yescharacteristic
43#14582899—21no—
44#14582896—21no—
45#14582896C2211yescharacteristic
46#14582894—21no—
47C2×#13063250C2211yescharacteristic, complemented
48C2×#13063250C2211yescharacteristic, complemented
49C2×#13063247—21no—
50C2×#13063247C2211yescharacteristic
51C2×#13063247C2211yescharacteristic
52#102×D43—21no—
53C2×#13063243C2211yescharacteristic, complemented
54C2×#13063241C2211yescharacteristic
55#14582854C2211yescharacteristic, complemented
56#14582769C2211yescharacteristic, complemented
57#14582667C2211yescharacteristic, complemented
58#14582667C2211yescharacteristic, complemented
59#14582664C2211yescharacteristic, complemented
60#14582659C2211yescharacteristic, complemented
61C2×#131×C43C2211yescharacteristic
62C2×#104×C43C2211yescharacteristic
63C43×#416C2211yescharacteristic
64C43×#405C2211yescharacteristic, complemented
65C2×#97×C43C2211yescharacteristic, complemented
66C43×#341C2211yescharacteristic, complemented
67C43×#339C2211yescharacteristic, complemented
68#13063371—22no—
69#13063371—22no—
70#13063371—41no—
71#13063371C2×C414yes—
72C2×#10621902—21no—
73C2×#10621898—21no—
74C2×#10621898C2311yescharacteristic
75C22×Dic86C2311yescharacteristic
76C22×D172—21no—
77C22×D172C2311yescharacteristic
78C2×D4×D43—21no—
79C2×D4×D43—41no—
80#13063358—22no—
81#13063358C2×C414yescomplemented
82#13063355—22no—
83#13063355C2×C414yescomplemented
84C2×Dic172—21no—
85C2×#10621885—21no—
86C2×#10621873—21no—
87C2×#10621883—21no—
88#13063331—22no—
89#13063331—41no—
90C2×#10621877C2311yescharacteristic
91C2×#10621877C2311yescharacteristic
92C2×#10621872—21no—
93C2×C8×D43—21no—
94#13063313—41no—
95#13063313C2×C414yescomplemented
96Q8×Dic43—21no—
97C4×Dic86—21no—
98C4×Dic86—21no—
99C4×Dic86—21no—
100#13063290—21no—
101#13063290—21no—
102C4×D172—21no—
103D4×Dic43—21no—
104D4×Dic43—41no—
105(C22⋊D43)⋊C4—41no—
106#13063284—21no—
107#13063284C2311yescharacteristic
108#13063283—21no—
109#13063281—41no—
110C2×C4⋊Dic43—21no—
111C2×C4⋊Dic43—41no—
112C2×C4⋊Dic43C2311yescharacteristic
113C2×C4⋊Dic43C2311yescharacteristic
114C4⋊C4×D43—21no—
115C2×(C2×D43)⋊C4—41no—
116#13063259—21no—
117#13063258—21no—
118#13063257—21no—
119#13063256—21no—
120#13063253C2×C414yescomplemented
121#13063250—21no—
122#13063250—21no—
123#13063250—21no—
124#13063250—21no—
125#13063250—21no—
126#13063250D411yescharacteristic
127#13063250D411yescharacteristic
128#13063249—21no—
129#13063247—21no—
130#13063247—21no—
131#13063247—21no—
132#13063247—21no—
133#13063247—21no—
134#13063247—21no—
135#13063247—21no—
136#13063247D411yescharacteristic
137#13063247D411yescharacteristic
138#13063246—21no—
139#13063245—21no—
140#13063245—21no—
141#13063243—41no—
142#13063241C2×C414yescomplemented
143#13063235—21no—
144C8×Dic43—21no—
145C2×#41×C43C2311yescharacteristic
146#131×C43—22no—
147#131×C43—41no—
148C2×M16×C43—21no—
149C2×M16×C43C2311yescharacteristic
150C2×M16×C43C2311yescharacteristic
151C22×C8×C43—21no—
152C22×C8×C43C2311yescharacteristic
153C22×C8×C43C2311yescharacteristic
154#117×C43C2311yescharacteristic
155C2×C42×C43C2311yescharacteristic
156#104×C43C2×C414yescomplemented
157#103×C43D411yescharacteristic
158#103×C43D411yescharacteristic
159#102×C43D411yescharacteristic
160#102×C43D411yescharacteristic
161#97×C43—21no—
162#97×C43—41no—
163C4×C8×C43—21no—
164C23×D43—21no—
165C23×D43—41no—
166#41×C43—21no—
167#41×C43—21no—
168#41×C43C22×C412yes—
169#41×C43#4112yes—
170C2×Q8×C43C2×D411yescharacteristic
171C2×D4×C43—21no—
172C2×D4×C43C2×D411yescharacteristic
173C22×C4×C43—21no—
174C22×C4×C43—21no—
175C22×C4×C43C2411yescharacteristic
176C2×C22⋊D43—21no—
177C2×C22⋊D43—41no—
178C22×Dic43—21no—
179C22×Dic43—21no—
180C22×Dic43—21no—
181C22×Dic43—41no—
182#10621902—24no—
183#10621902—42no—
184D4×D43—24no—
185D4×D43—44no—
186D4×D43—42no—
187D4×D43—44no—
188#10621898—21no—
189#10621898—21no—
190#10621898—24no—
191#10621898—42no—
192#10621898C22×C412yes—
193#10621898#4112yes—
194C2×D172—21no—
195C2×D172—21no—
196C2×D172—21no—
197C2×D172—21no—
198C2×D172—21no—
199C2×D172—24no—
200C2×D172—41no—
201C2×D172—42no—
202C2×D172C22×C412yes—
203C2×D172C2×D411yescharacteristic
204C2×C4×D43—21no—
205C2×C4×D43—41no—
206C2×C4×D43—41no—
207C2×Dic86—21no—
208C2×Dic86—21no—
209C2×Dic86—21no—
210C2×Dic86—21no—
211C2×Dic86—21no—
212C2×Dic86C22×C412yes—
213C2×Dic86C2×D411yescharacteristic
214M16×C43—21no—
215M16×C43—21no—
216M16×C43—21no—
217M16×C43—42no—
218M16×C43C22×C412yes—
219C2×C8×C43—21no—
220C2×C8×C43—21no—
221C2×C8×C43—21no—
222C2×C8×C43—21no—
223C2×C8×C43—21no—
224C2×C8×C43—21no—
225C2×C8×C43—42no—
226C2×C8×C43C2×D411yescharacteristic
227C2×C8×C43C2×D411yescharacteristic
228C2×C8×C43C2×D411yescharacteristic
229C2×C8×C43C2×D411yescharacteristic
230C4⋊C4×C43C2×D411yescharacteristic
231C4⋊C4×C43C2×D411yescharacteristic
232C22⋊C4×C43—21no—
233C42×C43—21no—
234C42×C43—21no—
235C42×C43C22×C412yes—
236C22⋊Dic43—21no—
237C22⋊Dic43—41no—
238#10621885—24no—
239#10621883—24no—
240(C2×D43)⋊C4—44no—
241(C2×D43)⋊C4—41no—
242C4⋊Dic43—21no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43—21no—
246C4⋊Dic43—41no—
247C4⋊Dic43—82no—
248C4⋊Dic43C2×D411yescharacteristic
249C4⋊Dic43C2×D411yescharacteristic
250Dic43⋊C4—41no—
251Dic43⋊C4—41no—
252Dic43⋊C4—41no—
253C4×Dic43—21no—
254C4×Dic43—41no—
255C4×Dic43—41no—
256C4×Dic43—41no—
257C4×Dic43—41no—
258#10621877—21no—
259#10621877—21no—
260#10621877—21no—
261#10621877C22×C412yes—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—21no—
264Dic172—24no—
265#10621873—24no—
266#10621872—42no—
267C8×D43—42no—
268C23×C43—21no—
269C23×C43H(5,𝔽2)11yescharacteristic
270C22×D43—21no—
271C22×D43—22no—
272C22×D43—44no—
273C22×D43—41no—
274C22×D43—41no—
275C22×D43—81no—
276C22×D43—81no—
277C22×D43—161no—
278C22×D43—161no—
279Q8×C43—21no—
280Q8×C43C4×D412yes—
281D4×C43—22no—
282D4×C43—22no—
283D4×C43—21no—
284D4×C43C4×D412yes—
285C2×C4×C43—21no—
286C2×C4×C43—22no—
287C2×C4×C43—22no—
288C2×C4×C43—22no—
289C2×C4×C43—21no—
290C2×C4×C43—21no—
291C2×C4×C43—41no—
292C2×C4×C43—41no—
293C2×C4×C43C23×C411yescharacteristic
294C2×C4×C43C22×D411yescharacteristic
295C2×C4×C43C22×D411yescharacteristic
296C2×C4×C43C2×#4111yescharacteristic
297C2×C4×C43C2×#4111yescharacteristic
298C2×C4×C43H(5,𝔽2)11yescharacteristic
299C22⋊D43—22no—
300C22⋊D43—22no—
301C22⋊D43—44no—
302C2×Dic43—21no—
303C2×Dic43—22no—
304C2×Dic43—21no—
305C2×Dic43—21no—
306C2×Dic43—41no—
307C2×Dic43—41no—
308C2×Dic43—41no—
309C2×Dic43—41no—
310C2×Dic43—81no—
311C2×Dic43—81no—
312C2×Dic43—161no—
313D172—22no—
314D172—22no—
315D172—21no—
316D172—44no—
317D172—41no—
318D172—41no—
319D172C4×D412yes—
320C4×D43—22no—
321C4×D43—22no—
322C4×D43—44no—
323C4×D43—161no—
324Dic86—21no—
325Dic86—22no—
326Dic86—22no—
327Dic86—41no—
328Dic86—41no—
329Dic86C4×D412yes—
330C8×C43—22no—
331C8×C43—21no—
332C8×C43—21no—
333C8×C43—21no—
334C8×C43—21no—
335C8×C43—41no—
336C43⋊C8—22no—
337C43⋊C8—41no—
338#22890—431nomaximal, Sylow
339C22×C43—21no—
340C22×C43—21no—
341C22×C43—22no—
342C22×C43—41no—
343C22×C43—41no—
344C22×C43#51811yescharacteristic
345C22×C43D4211yescharacteristic
346C22×C43#55111yescharacteristic
347C2×D43—22no—
348C2×D43—41no—
349C2×D43—41no—
350C2×D43—42no—
351C2×D43—81no—
352C2×D43—81no—
353C2×D43—82no—
354C2×D43—164no—
355C2×D43—161no—
356C4×C43—22no—
357C4×C43—42no—
358C4×C43—41no—
359C4×C43—41no—
360C4×C43C2×C4×D411yescharacteristic
361C4×C43C2×C4×D411yescharacteristic
362C4×C43#54611yescharacteristic
363C4×C43#54611yescharacteristic
364Dic43—22no—
365Dic43—42no—
366Dic43—41no—
367Dic43—41no—
368Dic43—81no—
369Dic43—81no—
370C2×#455—431no—
371#2947—431no—
372#2947—431no—
373#2897—431no—
374#2897—431no—
375#1959—431no—
376#1931—431no—
377#1931—431no—
378#1908—431no—
379#1908—431no—
380#1888—431no—
381#1859—431no—
382#1859—431no—
383#1765—431no—
384#1765D4311yescharacteristic, complemented
385C2×C43—21no—
386C2×C43—21no—
387C2×C43—42no—
388C2×C43#235811yescharacteristic
389C2×C43#328811yescharacteristic
390C2×C43#328911yescharacteristic
391D43—42no—
392D43—82no—
393C2×H(5,𝔽2)—431no—
394C2×#137—431no—
395C2×#137—431no—
396C2×#131—431no—
397C2×#131C2×D4311yescharacteristic
398C2×#124—431no—
399#520—431no—
400#520—431no—
401#519—431no—
402#455—438no—
403#441—861no—
404#441—861no—
405#440—861no—
406#440—861no—
407C4×Q16—861no—
408C4×Q16—861no—
409C4×SD16—861no—
410C4×SD16—861no—
411#428—431no—
412#428—431no—
413C2×#104—431no—
414C2×#104C2×D4311yescharacteristic
415#418—431no—
416#418—431no—
417#418—861no—
418#418—861no—
419#417—431no—
420#417—431no—
421#417—861no—
422#417—861no—
423#416—431no—
424#416—861no—
425#416—861no—
426#416C2×D4311yescharacteristic
427C2×#103—431no—
428C2×#103—431no—
429C2×#102—431no—
430C2×#102—431no—
431C2×#102—861no—
432C2×#102—861no—
433C2×#101—431no—
434C2×#100—431no—
435#405—431no—
436#405C2×D4311yescharacteristic, complemented
437C2×#97C2×D4311yescharacteristic, complemented
438#384—431no—
439#343—431no—
440#343—431no—
441#341—431no—
442#341C2×D4311yescharacteristic, complemented
443#339—431no—
444#339C2×D4311yescharacteristic, complemented
445C43#2289011yescharacteristic, complemented, Sylow
446H(5,𝔽2)—434no—
447H(5,𝔽2)—862no—
448H(5,𝔽2)—862no—
449H(5,𝔽2)—1721no—
450C2×#41—431no—
451C2×#41—861no—
452C2×#41—861no—
453C2×#41C22×D4311yescharacteristic
454C22×Q8—431no—
455C22×D4—431no—
456C22×D4—861no—
457C22×D4—861no—
458C22×D4—1721no—
459#137—434no—
460#137—434no—
461#137—862no—
462#137—862no—
463C2×Q16—861no—
464C2×Q16—861no—
465C2×SD16—861no—
466C2×SD16—861no—
467#131—22no—
468#131—41no—
469#131—862no—
470#131—1721no—
471C2×M16—21no—
472C2×M16—431no—
473C2×M16—431no—
474C2×M16—861no—
475C2×M16C22×D4311yescharacteristic
476C2×M16C22×D4311yescharacteristic
477C22×C8—21no—
478C22×C8—861no—
479C22×C8C22×D4311yescharacteristic
480C22×C8C22×D4311yescharacteristic
481#124—434no—
482#124—1721no—
483C4×Q8—861no—
484C4×Q8—861no—
485C4×Q8—861no—
486C4×Q8—861no—
487C4×Q8—861no—
488C4×Q8—861no—
489C4×D4—861no—
490C4×D4—861no—
491C4×D4—1721no—
492C4×D4—1721no—
493#117—431no—
494#117—861no—
495#117—861no—
496#117—1721no—
497#117C22×D4311yescharacteristic
498C2×C4⋊C4—431no—
499C2×C4⋊C4—431no—
500C2×C4⋊C4—861no—
501C2×C4⋊C4—861no—
502C2×C4⋊C4—1721no—
503C2×C22⋊C4—1721no—
504C2×C42C22×D4311yescharacteristic
505#107—861no—
506#107—861no—
507#106—861no—
508#106—861no—
509#104—434no—
510#104C4×D4314yescomplemented
511#103—431no—
512#103—431no—
513#103—861no—
514#103—861no—
515#103—861no—
516#103—861no—
517#103—861no—
518#103—861no—
519#103D17211yescharacteristic
520#103D17211yescharacteristic
521#102—431no—
522#102—431no—
523#102—861no—
524#102—861no—
525#102—861no—
526#102—861no—
527#102—861no—
528#102—861no—
529#102—861no—
530#102—861no—
531#102—861no—
532#102—861no—
533#102D17211yescharacteristic
534#102D17211yescharacteristic
535#101—1721no—
536#100—434no—
537#97—21no—
538#97—41no—
539#97—861no—
540C4×C8—21no—
541C4×C8—861no—
542C24—861no—
543C24—1721no—
544#41—21no—
545#41—21no—
546#41—432no—
547#41—432no—
548#41—864no—
549#41—861no—
550#41—861no—
551#41—864no—
552#41—1722no—
553#41—1722no—
554#41C2×C4×D4312yes—
555#41#1062189812yes—
556C2×Q8—432no—
557C2×Q8—431no—
558C2×Q8—861no—
559C2×Q8—861no—
560C2×Q8—861no—
561C2×Q8—861no—
562C2×Q8—861no—
563C2×Q8C2×D17211yescharacteristic
564C2×D4—21no—
565C2×D4—432no—
566C2×D4—431no—
567C2×D4—864no—
568C2×D4—861no—
569C2×D4—864no—
570C2×D4—861no—
571C2×D4—861no—
572C2×D4—861no—
573C2×D4—861no—
574C2×D4—861no—
575C2×D4—1722no—
576C2×D4—1721no—
577C2×D4—1722no—
578C2×D4—1721no—
579C2×D4—1724no—
580C2×D4—1724no—
581C2×D4C2×D17211yescharacteristic
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—861no—
585C22×C4—861no—
586C22×C4—861no—
587C22×C4—861no—
588C22×C4—1721no—
589C22×C4—1721no—
590C22×C4—1721no—
591C22×C4C23×D4311yescharacteristic
592Q16—864no—
593Q16—864no—
594SD16—864no—
595SD16—864no—
596M16—21no—
597M16—21no—
598M16—21no—
599M16—42no—
600M16—432no—
601M16—861no—
602M16—861no—
603M16—861no—
604M16—1722no—
605M16C2×C4×D4312yes—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—21no—
612C2×C8—42no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—1722no—
616C2×C8C2×D17211yescharacteristic
617C2×C8C2×D17211yescharacteristic
618C2×C8D4×D4311yescharacteristic
619C2×C8D4×D4311yescharacteristic
620C4⋊C4—431no—
621C4⋊C4—431no—
622C4⋊C4—861no—
623C4⋊C4—861no—
624C4⋊C4—861no—
625C4⋊C4—861no—
626C4⋊C4—3442no—
627C4⋊C4—1721no—
628C4⋊C4—1721no—
629C4⋊C4—1721no—
630C4⋊C4—1721no—
631C4⋊C4C2×D17211yescharacteristic
632C4⋊C4C2×D17211yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—861no—
635C22⋊C4—1724no—
636C22⋊C4—1721no—
637C22⋊C4—1721no—
638C42—21no—
639C42—21no—
640C42—861no—
641C42—1721no—
642C42—1721no—
643C42—1721no—
644C42—1721no—
645C42C2×C4×D4312yes—
646C23—21no—
647C23—861no—
648C23—862no—
649C23—3441no—
650C23—3441no—
651C23—1724no—
652C23—1721no—
653C23—1721no—
654C23—6881no—
655C23—6881no—
656C23#1306337111yescharacteristic
657Q8—21no—
658Q8—432no—
659Q8—861no—
660Q8—862no—
661Q8—862no—
662Q8—1721no—
663Q8—1721no—
664Q8C4×D17212yes—
665D4—22no—
666D4—22no—
667D4—21no—
668D4—432no—
669D4—862no—
670D4—862no—
671D4—862no—
672D4—862no—
673D4—861no—
674D4—1724no—
675D4—1724no—
676D4—1721no—
677D4—1721no—
678D4C4×D17212yes—
679C2×C4—21no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—861no—
688C2×C4—862no—
689C2×C4—862no—
690C2×C4—862no—
691C2×C4—861no—
692C2×C4—861no—
693C2×C4—3441no—
694C2×C4—3441no—
695C2×C4—1724no—
696C2×C4—1721no—
697C2×C4—1721no—
698C2×C4—1721no—
699C2×C4—1721no—
700C2×C4—6881no—
701C2×C4—6881no—
702C2×C4C22×C4×D4311yescharacteristic
703C2×C4C2×D4×D4311yescharacteristic
704C2×C4C22×D17211yescharacteristic
705C2×C4#41×D4311yescharacteristic
706C2×C4C2×#1062189811yescharacteristic
707C2×C4#1306337011yescharacteristic
708C8—22no—
709C8—21no—
710C8—21no—
711C8—21no—
712C8—21no—
713C8—41no—
714C8—862no—
715C8—1721no—
716C22—21no—
717C22—21no—
718C22—22no—
719C22—41no—
720C22—41no—
721C22—862no—
722C22—3442no—
723C22—3441no—
724C22—3441no—
725C22—1722no—
726C22—1721no—
727C22—1721no—
728C22—6881no—
729C22—6884no—
730C22#1458337111yescharacteristic
731C22D4×D17211yescharacteristic
732C22#1458357311yescharacteristic
733C4—22no—
734C4—42no—
735C4—41no—
736C4—41no—
737C4—862no—
738C4—3441no—
739C4—3441no—
740C4—1722no—
741C4—1721no—
742C4—1721no—
743C4C4×D4×D4311yescharacteristic
744C4C2×C4×D17211yescharacteristic
745C4#1458353911yescharacteristic
746C4#1458354411yescharacteristic
747C2—21no—
748C2—21no—
749C2—42no—
750C2—3442no—
751C2—1722no—
752C2#1913757711yescharacteristic
753C2#1914636211yescharacteristic
754C2#1914637111yescharacteristic
subgroupG/H
centerC22D4×D172
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1765C2
socleC22×C43D42
prime radicalC2×#13063371C22
cosocleC22×C4×C43C24
hypercenter#1765D43
hypocenterC43#22890
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1765

Complements

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

NH ≅ G/Ntype
2. #19143441C2semidirect
3. #19143440C2semidirect
6. #19135411C2semidirect
7. #19135258C2semidirect
8. #19135257C2semidirect
9. #19135110C2semidirect
10. #19135109C2semidirect
11. #19134997C2semidirect
12. #19134823C2semidirect
13. #19134822C2semidirect
14. #19134439C2semidirect
15. C43×#1765C2semidirect
23. #14583376C22semidirect
24. #14583078C4semidirect
33. #14582942C22semidirect
34. #14582941C22semidirect
47. C2×#13063250C22semidirect
48. C2×#13063250C22semidirect
53. C2×#13063243C22semidirect
55. #14582854C22semidirect
56. #14582769C22semidirect
57. #14582667C22semidirect
58. #14582667C22semidirect
59. #14582664C22semidirect
60. #14582659C22semidirect
64. C43×#405C22semidirect
65. C2×#97×C43C22semidirect
66. C43×#341C22semidirect
67. C43×#339C22semidirect
81. #13063358C2×C4semidirect
83. #13063355C2×C4semidirect
95. #13063313C2×C4semidirect
120. #13063253C2×C4semidirect
142. #13063241C2×C4semidirect
156. #104×C43C2×C4semidirect
384. #1765D43semidirect
436. #405C2×D43semidirect
437. C2×#97C2×D43semidirect
442. #341C2×D43semidirect
444. #339C2×D43semidirect
445. C43#22890semidirect
510. #104C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830782
#191434412
#191434402
#191431222
#191431172
#191354112
#191352582
#191352572
#191351102
#191351092
#191349972
#191348232
#191348222
#191344392
C43×#17652
#2289043