Finite Group Databasebeta

← #25117417

Subgroups — #25117417

Order 11008.

1012 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
1C2×#14583072C211yesmaximal, characteristic
2#19143430C211yesmaximal, characteristic, complemented
3#19143423C211yesmaximal, characteristic, complemented
4#19143128C211yesmaximal, characteristic, complemented
5#19135408C211yesmaximal, characteristic, complemented
6#19135253C211yesmaximal, characteristic, complemented
7#19135247C211yesmaximal, characteristic, complemented
8#19135103C211yesmaximal, characteristic, complemented
9#19135101C211yesmaximal, characteristic, complemented
10#19134980C211yesmaximal, characteristic, complemented
11#19134821C211yesmaximal, characteristic, complemented
12#19134819C211yesmaximal, characteristic, complemented
13#19134442C211yesmaximal, characteristic, complemented
14#19134437C211yesmaximal, characteristic, complemented
15C43×#2898C211yesmaximal, characteristic, complemented
16C2×#13063350C2211yescharacteristic
17C2×#13063350C2211yescharacteristic
18C2×#13063332C2211yescharacteristic
19C2×#13063314C2211yescharacteristic
20#14583382C2211yescharacteristic
21#14583373C2211yescharacteristic
22#14583072C418yescomplemented
23#14583009—21no—
24#14583008—21no—
25#14583002—21no—
26#14582997—21no—
27C4×#10621884—21no—
28#14582984—21no—
29C4×#10621882—21no—
30#14582979—21no—
31#14582942C2211yescharacteristic
32#14582939C2211yescharacteristic
33C2×#13063252C2211yescharacteristic
34C2×#13063252C2211yescharacteristic
35#14582908—21no—
36#14582908C2211yescharacteristic
37#14582900—21no—
38#14582900C2211yescharacteristic
39#14582895—21no—
40#14582895C2211yescharacteristic
41C2×#13063249—21no—
42C2×#13063249C2211yescharacteristic
43C2×#13063247C2211yescharacteristic
44C2×#13063245C2211yescharacteristic
45C2×#13063244C2211yescharacteristic
46C2×#13063241C2211yescharacteristic
47#14582855C2211yescharacteristic
48#14582854C2211yescharacteristic
49C2×#13063235C2211yescharacteristic
50#14582768C2211yescharacteristic
51#14582668C2211yescharacteristic
52#14582667C2211yescharacteristic
53#14582664C2211yescharacteristic
54#14582663C2211yescharacteristic
55#14582660C2211yescharacteristic
56#14582658C2211yescharacteristic
57C2×2−1+4×C43C2211yescharacteristic
58C2×#131×C43C2211yescharacteristic
59C43×#520C2211yescharacteristic
60C43×#419—21no—
61C43×#419C2211yescharacteristic
62C43×#417—21no—
63C43×#417C2211yescharacteristic
64C43×#416—21no—
65C43×#416C2211yescharacteristic
66C2×#103×C43—21no—
67C2×#103×C43C2211yescharacteristic
68C22×D172C2311yescharacteristic
69#13063350—22no—
70#13063350—22no—
71#13063350C2×C414yescomplemented
72#13063350C2×C414yescomplemented
73C2×#10621884—21no—
74C2×#10621884—21no—
75C2×#10621882—21no—
76C2×#10621882—21no—
77#13063332—22no—
78#13063332—41no—
79C2×#10621877—21no—
80C2×#10621877C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621877C2311yescharacteristic
83C22×C43⋊C8—21no—
84C22×C43⋊C8C2311yescharacteristic
85#13063314—41no—
86#13063314C2×C414yescomplemented
87Q8×Dic43—21no—
88C4×D172—21no—
89C4×D172—21no—
90D4×Dic43—21no—
91D4×Dic43—41no—
92#13063287—21no—
93#13063287—21no—
94#13063284—21no—
95#13063284C2311yescharacteristic
96C2×C4⋊Dic43—21no—
97C2×C4⋊Dic43C2311yescharacteristic
98C2×Dic43⋊C4—41no—
99C2×(C2×D43)⋊C4—41no—
100C22⋊C4×D43—41no—
101C2×C4×Dic43C2311yescharacteristic
102#13063258—21no—
103#13063258—21no—
104#13063256—21no—
105#13063256—21no—
106#13063252C2×C414yescomplemented
107#13063252C2×C414yescomplemented
108#13063249—21no—
109#13063249—21no—
110#13063249—21no—
111#13063249—21no—
112#13063249—21no—
113#13063249D411yescharacteristic
114#13063249D411yescharacteristic
115#13063247—21no—
116#13063247—21no—
117#13063246—21no—
118#13063246D411yescharacteristic
119#13063246D411yescharacteristic
120#13063245—21no—
121#13063245—21no—
122#13063244C2×C414yescomplemented
123#13063241—41no—
124#13063236—21no—
125#13063235—21no—
126#13063235—41no—
127C4×C43⋊C8—21no—
128C8×Dic43—21no—
1292−1+4×C43—22no—
1302−1+4×C43—22no—
1312−1+4×C43—41no—
1322−1+4×C43C2×C414yescomplemented
133C2×#41×C43—21no—
134C2×#41×C43—21no—
135C2×#41×C43—41no—
136C2×#41×C43C2311yescharacteristic
137C2×#41×C43C2311yescharacteristic
138C22×Q8×C43—21no—
139C22×Q8×C43—21no—
140C22×Q8×C43C2311yescharacteristic
141#131×C43—22no—
142#131×C43—41no—
143C2×M16×C43—21no—
144C2×M16×C43C2311yescharacteristic
145C22×C8×C43—21no—
146C22×C8×C43C2311yescharacteristic
147C4×Q8×C43—21no—
148C4×D4×C43—21no—
149C4×D4×C43—41no—
150#117×C43—21no—
151#117×C43C2311yescharacteristic
152C2×C4⋊C4×C43—21no—
153C2×C4⋊C4×C43C2311yescharacteristic
154#103×C43—21no—
155#103×C43—21no—
156#103×C43—21no—
157#103×C43—21no—
158#103×C43—21no—
159#103×C43D411yescharacteristic
160#103×C43D411yescharacteristic
161#102×C43—21no—
162#102×C43D411yescharacteristic
163#102×C43D411yescharacteristic
164C23×D43—21no—
165#41×C43—21no—
166#41×C43—21no—
167#41×C43—21no—
168#41×C43—21no—
169#41×C43—24no—
170#41×C43—24no—
171#41×C43—44no—
172#41×C43—42no—
173#41×C43—42no—
174#41×C43—44no—
175#41×C43C22×C412yes—
176#41×C43C22×C412yes—
177#41×C43#4112yes—
178#41×C43#4112yes—
179C2×Q8×C43—21no—
180C2×Q8×C43—24no—
181C2×Q8×C43—24no—
182C2×Q8×C43—21no—
183C2×Q8×C43—21no—
184C2×Q8×C43—21no—
185C2×Q8×C43—21no—
186C2×Q8×C43—41no—
187C2×Q8×C43—42no—
188C2×Q8×C43—42no—
189C2×Q8×C43C22×C412yes—
190C2×Q8×C43C2×D411yescharacteristic
191C2×Q8×C43C2×D411yescharacteristic
192C2×D4×C43—21no—
193C2×D4×C43—21no—
194C2×D4×C43—41no—
195C2×D4×C43C2×D411yescharacteristic
196C2×D4×C43C2×D411yescharacteristic
197C22×C4×C43—21no—
198C22×C4×C43—21no—
199C22×C4×C43—21no—
200C22×C4×C43—21no—
201C22×C4×C43—41no—
202C22×C4×C43—41no—
203C22×C4×C43—41no—
204C22×C4×C43C2411yescharacteristic
205C22×Dic43—21no—
206C22×Dic43—21no—
207C22×Dic43—41no—
208C2×D172—21no—
209C2×D172—21no—
210C2×D172—21no—
211C2×D172—21no—
212C2×D172—21no—
213C2×D172C22×C412yes—
214C2×C4×D43—41no—
215C2×C4×D43—41no—
216M16×C43—21no—
217M16×C43—21no—
218M16×C43—42no—
219C2×C8×C43—21no—
220C2×C8×C43—21no—
221C2×C8×C43—21no—
222C2×C8×C43—42no—
223C2×C8×C43C2×D411yescharacteristic
224C2×C8×C43C2×D411yescharacteristic
225C4⋊C4×C43—21no—
226C4⋊C4×C43—21no—
227C4⋊C4×C43—41no—
228C4⋊C4×C43C2×D411yescharacteristic
229C4⋊C4×C43C2×D411yescharacteristic
230C22⋊C4×C43—21no—
231C22⋊C4×C43—41no—
232C42×C43—21no—
233C42×C43—41no—
234C22⋊Dic43—21no—
235C22⋊Dic43—41no—
236#10621884—24no—
237#10621884—24no—
238#10621882—24no—
239#10621882—24no—
240(C2×D43)⋊C4—44no—
241(C2×D43)⋊C4—41no—
242(C2×D43)⋊C4—41no—
243C4⋊Dic43—21no—
244C4⋊Dic43—21no—
245C4⋊Dic43—41no—
246C4⋊Dic43C2×D411yescharacteristic
247C4⋊Dic43C2×D411yescharacteristic
248Dic43⋊C4—82no—
249C4×Dic43—21no—
250C4×Dic43—21no—
251C4×Dic43—41no—
252C4×Dic43C22×C412yes—
253#10621877—21no—
254#10621877—21no—
255#10621877—21no—
256#10621877—21no—
257#10621877—42no—
258#10621877C22×C412yes—
259#10621877C22×C412yes—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—21no—
264C2×C43⋊C8—21no—
265C2×C43⋊C8—42no—
266C2×C43⋊C8C2×D411yescharacteristic
267C2×C43⋊C8C2×D411yescharacteristic
268C23×C43—21no—
269C23×C43—21no—
270C23×C43H(5,𝔽2)11yescharacteristic
271C22×D43—22no—
272C22×D43—41no—
273C22×D43—41no—
274C22×D43—81no—
275C22×D43—81no—
276Q8×C43—21no—
277Q8×C43—21no—
278Q8×C43—22no—
279Q8×C43—22no—
280Q8×C43—44no—
281Q8×C43—41no—
282Q8×C43—41no—
283Q8×C43C4×D412yes—
284Q8×C43C4×D412yes—
285D4×C43—22no—
286D4×C43—22no—
287D4×C43—22no—
288D4×C43—22no—
289D4×C43—21no—
290D4×C43—21no—
291D4×C43—44no—
292D4×C43C4×D412yes—
293D4×C43C4×D412yes—
294C2×C4×C43—21no—
295C2×C4×C43—21no—
296C2×C4×C43—22no—
297C2×C4×C43—22no—
298C2×C4×C43—22no—
299C2×C4×C43—22no—
300C2×C4×C43—22no—
301C2×C4×C43—21no—
302C2×C4×C43—21no—
303C2×C4×C43—44no—
304C2×C4×C43—44no—
305C2×C4×C43—41no—
306C2×C4×C43—41no—
307C2×C4×C43—41no—
308C2×C4×C43—81no—
309C2×C4×C43—161no—
310C2×C4×C43C23×C411yescharacteristic
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C22×D411yescharacteristic
313C2×C4×C43C2×#4111yescharacteristic
314C2×C4×C43C2×#4111yescharacteristic
315C2×C4×C43H(5,𝔽2)11yescharacteristic
316C2×Dic43—22no—
317C2×Dic43—21no—
318C2×Dic43—21no—
319C2×Dic43—41no—
320C2×Dic43—41no—
321C2×Dic43—41no—
322C2×Dic43—81no—
323C2×Dic43—161no—
324D172—22no—
325D172—22no—
326D172—41no—
327D172—41no—
328C4×D43—161no—
329C4×D43—161no—
330C8×C43—21no—
331C8×C43—21no—
332C8×C43—41no—
333C43⋊C8—22no—
334C43⋊C8—22no—
335C43⋊C8—21no—
336C43⋊C8—21no—
337C43⋊C8—41no—
338#22893—431nomaximal, Sylow
339C22×C43—21no—
340C22×C43—21no—
341C22×C43—22no—
342C22×C43—22no—
343C22×C43—41no—
344C22×C43—41no—
345C22×C43—41no—
346C22×C43—41no—
347C22×C43#51811yescharacteristic
348C22×C43D4211yescharacteristic
349C22×C43#55111yescharacteristic
350C2×D43—42no—
351C2×D43—81no—
352C2×D43—81no—
353C2×D43—82no—
354C2×D43—161no—
355C4×C43—22no—
356C4×C43—22no—
357C4×C43—42no—
358C4×C43—41no—
359C4×C43—41no—
360C4×C43—81no—
361C4×C43C2×C4×D411yescharacteristic
362C4×C43C2×C4×D411yescharacteristic
363C4×C43#54611yescharacteristic
364C4×C43#54611yescharacteristic
365Dic43—42no—
366Dic43—41no—
367Dic43—41no—
368Dic43—81no—
369C2×#454—431no—
370#2946—431no—
371#2946—431no—
372#2898—431no—
373#2898D4311yescharacteristic, complemented
374#1959—431no—
375#1930—431no—
376#1930—431no—
377#1907—431no—
378#1907—431no—
379#1885—431no—
380#1859—431no—
381#1859—431no—
382#1765—431no—
383#1765—431no—
384C2×C43—21no—
385C2×C43—21no—
386C2×C43—42no—
387C2×C43—42no—
388C2×C43#235811yescharacteristic
389C2×C43#328811yescharacteristic
390C2×C43#328911yescharacteristic
391D43—82no—
392C2×2−1+4C2×D4311yescharacteristic
393C2×AGL(1,ℤ/8)—431no—
394C2×AGL(1,ℤ/8)—431no—
395C2×#131—431no—
396C2×#131C2×D4311yescharacteristic
397C2×#124—431no—
398#520—431no—
399#520C2×D4311yescharacteristic
400#518—431no—
401#454—438no—
402#442—861no—
403#442—861no—
404#440—861no—
405#440—861no—
406C4×SD16—861no—
407C4×SD16—861no—
408C4×D8—861no—
409C4×D8—861no—
410#428—431no—
411#428—431no—
412C2×#104—431no—
413C2×#104—431no—
414#419—21no—
415#419—431no—
416#419—861no—
417#419C2×D4311yescharacteristic
418#417—21no—
419#417—431no—
420#417—861no—
421#417C2×D4311yescharacteristic
422#416—21no—
423#416—431no—
424#416—861no—
425#416C2×D4311yescharacteristic
426C2×#103—21no—
427C2×#103—431no—
428C2×#103—861no—
429C2×#103C2×D4311yescharacteristic
430C2×#102—431no—
431C2×#102—431no—
432C2×#101—431no—
433C2×#100—431no—
434#405—431no—
435#405—431no—
436C2×#97—431no—
437#384—431no—
438#343—431no—
439#343—431no—
440#341—431no—
441#341—431no—
442#339—431no—
443#339—431no—
444C43#2289311yescharacteristic, complemented, Sylow
4452−1+4—22no—
4462−1+4—22no—
4472−1+4—41no—
4482−1+4C4×D4314yescomplemented
449C2×#41—21no—
450C2×#41—21no—
451C2×#41—41no—
452C2×#41C22×D4311yescharacteristic
453C2×#41C22×D4311yescharacteristic
454C22×Q8—21no—
455C22×Q8—21no—
456C22×Q8C22×D4311yescharacteristic
457C22×D4—431no—
458AGL(1,ℤ/8)—434no—
459AGL(1,ℤ/8)—434no—
460AGL(1,ℤ/8)—862no—
461AGL(1,ℤ/8)—862no—
462C2×SD16—861no—
463C2×SD16—861no—
464C2×D8—861no—
465C2×D8—861no—
466#131—22no—
467#131—41no—
468#131—862no—
469#131—1721no—
470C2×M16—21no—
471C2×M16—431no—
472C2×M16—431no—
473C2×M16—431no—
474C2×M16—861no—
475C2×M16C22×D4311yescharacteristic
476C22×C8—21no—
477C22×C8—431no—
478C22×C8—861no—
479C22×C8C22×D4311yescharacteristic
480#124—434no—
481#124—1721no—
482C4×Q8—21no—
483C4×Q8—861no—
484C4×D4—21no—
485C4×D4—41no—
486C4×D4—861no—
487C4×D4—861no—
488C4×D4—861no—
489C4×D4—861no—
490C4×D4—861no—
491C4×D4—1721no—
492#117—21no—
493#117—431no—
494#117—861no—
495#117C22×D4311yescharacteristic
496C2×C4⋊C4—21no—
497C2×C4⋊C4—431no—
498C2×C4⋊C4—861no—
499C2×C4⋊C4—1721no—
500C2×C4⋊C4C22×D4311yescharacteristic
501C2×C22⋊C4—1721no—
502C2×C22⋊C4—1721no—
503C2×C42—431no—
504#107—861no—
505#107—861no—
506#106—861no—
507#106—861no—
508#104—434no—
509#104—434no—
510#103—21no—
511#103—21no—
512#103—21no—
513#103—21no—
514#103—21no—
515#103—431no—
516#103—431no—
517#103—861no—
518#103—861no—
519#103—861no—
520#103—861no—
521#103—861no—
522#103C22⋊D4311yescharacteristic
523#103C22⋊D4311yescharacteristic
524#102—21no—
525#102—431no—
526#102—431no—
527#102—861no—
528#102—861no—
529#102—861no—
530#102—861no—
531#102—861no—
532#102C22⋊D4311yescharacteristic
533#102C22⋊D4311yescharacteristic
534#101—434no—
535#100—1721no—
536#97—861no—
537#97—861no—
538#97—1721no—
539C4×C8—861no—
540C4×C8—861no—
541C24—861no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—21no—
546#41—24no—
547#41—24no—
548#41—44no—
549#41—42no—
550#41—42no—
551#41—44no—
552#41C2×C4×D4312yes—
553#41C2×C4×D4312yes—
554#41#1062189812yes—
555#41#1062190012yes—
556C2×Q8—21no—
557C2×Q8—24no—
558C2×Q8—24no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8—41no—
564C2×Q8—42no—
565C2×Q8—42no—
566C2×Q8C2×C4×D4312yes—
567C2×Q8D4×D4311yescharacteristic
568C2×Q8C2×C22⋊D4311yescharacteristic
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—41no—
572C2×D4—432no—
573C2×D4—861no—
574C2×D4—861no—
575C2×D4—861no—
576C2×D4—861no—
577C2×D4—861no—
578C2×D4D4×D4311yescharacteristic
579C2×D4C2×C22⋊D4311yescharacteristic
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—41no—
585C22×C4—41no—
586C22×C4—41no—
587C22×C4—861no—
588C22×C4—861no—
589C22×C4—1721no—
590C22×C4—1721no—
591C22×C4—1721no—
592C22×C4C23×D4311yescharacteristic
593SD16—864no—
594SD16—864no—
595D8—864no—
596D8—864no—
597M16—21no—
598M16—21no—
599M16—42no—
600M16—432no—
601M16—432no—
602M16—861no—
603M16—861no—
604M16—861no—
605M16—861no—
606M16—1722no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—42no—
611C2×C8—431no—
612C2×C8—431no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—861no—
616C2×C8—861no—
617C2×C8—861no—
618C2×C8—1722no—
619C2×C8C2×C22⋊D4311yescharacteristic
620C2×C8C2×C22⋊D4311yescharacteristic
621C4⋊C4—21no—
622C4⋊C4—21no—
623C4⋊C4—41no—
624C4⋊C4—431no—
625C4⋊C4—431no—
626C4⋊C4—861no—
627C4⋊C4—861no—
628C4⋊C4—3442no—
629C4⋊C4—1721no—
630C4⋊C4C2×C22⋊D4311yescharacteristic
631C4⋊C4C2×C22⋊D4311yescharacteristic
632C22⋊C4—21no—
633C22⋊C4—41no—
634C22⋊C4—861no—
635C22⋊C4—1724no—
636C22⋊C4—1721no—
637C22⋊C4—1721no—
638C22⋊C4—1721no—
639C42—21no—
640C42—41no—
641C42—432no—
642C42—861no—
643C42—861no—
644C42—1721no—
645C23—21no—
646C23—21no—
647C23—862no—
648C23—3441no—
649C23—3441no—
650C23—1721no—
651C23—1721no—
652C23#1306337011yescharacteristic
653Q8—21no—
654Q8—21no—
655Q8—22no—
656Q8—22no—
657Q8—44no—
658Q8—41no—
659Q8—41no—
660Q8(C22⋊D43)⋊C412yes—
661Q8C4×C22⋊D4312yes—
662D4—22no—
663D4—22no—
664D4—22no—
665D4—22no—
666D4—21no—
667D4—21no—
668D4—44no—
669D4—862no—
670D4—862no—
671D4—1721no—
672D4—1721no—
673D4(C22⋊D43)⋊C412yes—
674D4C4×C22⋊D4312yes—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—161no—
691C2×C4—862no—
692C2×C4—861no—
693C2×C4—861no—
694C2×C4—3441no—
695C2×C4—1721no—
696C2×C4—1721no—
697C2×C4—1721no—
698C2×C4—6881no—
699C2×C4—6881no—
700C2×C4—6881no—
701C2×C4C22×C4×D4311yescharacteristic
702C2×C4C2×D4×D4311yescharacteristic
703C2×C4C22×C22⋊D4311yescharacteristic
704C2×C4C2×#1062190011yescharacteristic
705C2×C4C2×#1062189811yescharacteristic
706C2×C4#1306337011yescharacteristic
707C8—21no—
708C8—21no—
709C8—41no—
710C8—862no—
711C8—862no—
712C8—861no—
713C8—861no—
714C8—1721no—
715C22—21no—
716C22—21no—
717C22—22no—
718C22—22no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—3442no—
724C22—3441no—
725C22—3441no—
726C22—1722no—
727C22—6881no—
728C22#1458337211yescharacteristic
729C22D4×C22⋊D4311yescharacteristic
730C22#1458357511yescharacteristic
731C4—22no—
732C4—22no—
733C4—42no—
734C4—41no—
735C4—41no—
736C4—81no—
737C4—3441no—
738C4—1722no—
739C4—1721no—
740C4—1721no—
741C4C2×(C22⋊D43)⋊C411yescharacteristic
742C4C2×C4×C22⋊D4311yescharacteristic
743C4#1458353911yescharacteristic
744C4#1458354311yescharacteristic
745C2—21no—
746C2—21no—
747C2—42no—
748C2—42no—
749C2—3442no—
750C2#1913757411yescharacteristic
751C2#1914635711yescharacteristic
752C2#1914636611yescharacteristic
subgroupG/H
centerC22D4×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2898C2
socleC22×C43D42
prime radicalC2×#14583072C2
cosocleC22×C4×C43C24
hypercenter#2898D43
hypocenterC43#22893
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2898

Complements

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

NH ≅ G/Ntype
2. #19143430C2semidirect
3. #19143423C2semidirect
4. #19143128C2semidirect
5. #19135408C2semidirect
6. #19135253C2semidirect
7. #19135247C2semidirect
8. #19135103C2semidirect
9. #19135101C2semidirect
10. #19134980C2semidirect
11. #19134821C2semidirect
12. #19134819C2semidirect
13. #19134442C2semidirect
14. #19134437C2semidirect
15. C43×#2898C2semidirect
22. #14583072C4semidirect
71. #13063350C2×C4semidirect
72. #13063350C2×C4semidirect
86. #13063314C2×C4semidirect
106. #13063252C2×C4semidirect
107. #13063252C2×C4semidirect
122. #13063244C2×C4semidirect
132. 2−1+4×C43C2×C4semidirect
373. #2898D43semidirect
444. C43#22893semidirect
448. 2−1+4C4×D43semidirect

Maximal subgroups

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

subgroupindex
C2×#145830722
#191434302
#191434232
#191431282
#191354082
#191352532
#191352472
#191351032
#191351012
#191349802
#191348212
#191348192
#191344422
#191344372
C43×#28982
#2289343