Finite Group Databasebeta

← #25117435

Subgroups — #25117435

Order 11008.

1008 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
1C2×#14583072C211yesmaximal, characteristic
2#19143430C211yesmaximal, characteristic, complemented
3#19143423C211yesmaximal, characteristic, complemented
4#19143128C211yesmaximal, characteristic, complemented
5#19135403C211yesmaximal, characteristic, complemented
6#19135253C211yesmaximal, characteristic, complemented
7#19135247C211yesmaximal, characteristic, complemented
8#19135103C211yesmaximal, characteristic, complemented
9#19135101C211yesmaximal, characteristic, complemented
10#19134980C211yesmaximal, characteristic, complemented
11#19134828C211yesmaximal, characteristic, complemented
12#19134826C211yesmaximal, characteristic, complemented
13#19134435C211yesmaximal, characteristic, complemented
14#19134430C211yesmaximal, 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×C8×Dic43C2211yescharacteristic
50#14582764C2211yescharacteristic
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×(C2×D43)⋊C4—41no—
99C22⋊C4×D43—41no—
100C2×C4×Dic43C2311yescharacteristic
101#13063258—21no—
102#13063258—21no—
103#13063256—21no—
104#13063256—21no—
105#13063252C2×C414yescomplemented
106#13063252C2×C414yescomplemented
107#13063249—21no—
108#13063249—21no—
109#13063249—21no—
110#13063249—21no—
111#13063249—21no—
112#13063249D411yescharacteristic
113#13063249D411yescharacteristic
114#13063247—21no—
115#13063247—21no—
116#13063246—21no—
117#13063246D411yescharacteristic
118#13063246D411yescharacteristic
119#13063245—21no—
120#13063245—21no—
121#13063244C2×C414yescomplemented
122#13063241—41no—
123#13063236—21no—
124#13063235—21no—
125C4×C43⋊C8—21no—
126C8×Dic43—21no—
127C8×Dic43—41no—
128C43⋊#95—41no—
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
248C4×Dic43—21no—
249C4×Dic43—21no—
250C4×Dic43—41no—
251C4×Dic43C22×C412yes—
252#10621877—21no—
253#10621877—21no—
254#10621877—21no—
255#10621877—21no—
256#10621877—42no—
257#10621877C22×C412yes—
258#10621877C22×C412yes—
259C2×C43⋊C8—21no—
260C2×C43⋊C8—21no—
261C2×C43⋊C8—21no—
262C2×C43⋊C8—21no—
263C2×C43⋊C8—21no—
264C2×C43⋊C8—42no—
265C2×C43⋊C8C2×D411yescharacteristic
266C2×C43⋊C8C2×D411yescharacteristic
267C23×C43—21no—
268C23×C43—21no—
269C23×C43H(5,𝔽2)11yescharacteristic
270C22×D43—22no—
271C22×D43—41no—
272C22×D43—41no—
273C22×D43—81no—
274C22×D43—81no—
275Q8×C43—21no—
276Q8×C43—21no—
277Q8×C43—22no—
278Q8×C43—22no—
279Q8×C43—44no—
280Q8×C43—41no—
281Q8×C43—41no—
282Q8×C43C4×D412yes—
283Q8×C43C4×D412yes—
284D4×C43—22no—
285D4×C43—22no—
286D4×C43—22no—
287D4×C43—22no—
288D4×C43—21no—
289D4×C43—21no—
290D4×C43—44no—
291D4×C43C4×D412yes—
292D4×C43C4×D412yes—
293C2×C4×C43—21no—
294C2×C4×C43—21no—
295C2×C4×C43—22no—
296C2×C4×C43—22no—
297C2×C4×C43—22no—
298C2×C4×C43—22no—
299C2×C4×C43—22no—
300C2×C4×C43—21no—
301C2×C4×C43—21no—
302C2×C4×C43—44no—
303C2×C4×C43—44no—
304C2×C4×C43—41no—
305C2×C4×C43—41no—
306C2×C4×C43—41no—
307C2×C4×C43—81no—
308C2×C4×C43—161no—
309C2×C4×C43C23×C411yescharacteristic
310C2×C4×C43C22×D411yescharacteristic
311C2×C4×C43C22×D411yescharacteristic
312C2×C4×C43C2×#4111yescharacteristic
313C2×C4×C43C2×#4111yescharacteristic
314C2×C4×C43H(5,𝔽2)11yescharacteristic
315C2×Dic43—22no—
316C2×Dic43—21no—
317C2×Dic43—21no—
318C2×Dic43—41no—
319C2×Dic43—41no—
320C2×Dic43—41no—
321C2×Dic43—81no—
322C2×Dic43—161no—
323D172—22no—
324D172—22no—
325D172—41no—
326D172—41no—
327C4×D43—161no—
328C4×D43—161no—
329C8×C43—21no—
330C8×C43—21no—
331C8×C43—41no—
332C43⋊C8—22no—
333C43⋊C8—22no—
334C43⋊C8—21no—
335C43⋊C8—21no—
336C43⋊C8—41no—
337#22895—431nomaximal, Sylow
338C22×C43—21no—
339C22×C43—21no—
340C22×C43—22no—
341C22×C43—22no—
342C22×C43—41no—
343C22×C43—41no—
344C22×C43—41no—
345C22×C43—41no—
346C22×C43#51811yescharacteristic
347C22×C43D4211yescharacteristic
348C22×C43#55111yescharacteristic
349C2×D43—42no—
350C2×D43—81no—
351C2×D43—81no—
352C2×D43—82no—
353C2×D43—161no—
354C4×C43—22no—
355C4×C43—22no—
356C4×C43—42no—
357C4×C43—41no—
358C4×C43—41no—
359C4×C43—81no—
360C4×C43C2×C4×D411yescharacteristic
361C4×C43C2×C4×D411yescharacteristic
362C4×C43#54611yescharacteristic
363C4×C43#54611yescharacteristic
364Dic43—42no—
365Dic43—41no—
366Dic43—41no—
367Dic43—81no—
368C2×#454—431no—
369#2946—431no—
370#2946—431no—
371#2898—431no—
372#2898D4311yescharacteristic, complemented
373#1958—431no—
374#1930—431no—
375#1930—431no—
376#1907—431no—
377#1907—431no—
378#1885—431no—
379#1860—431no—
380#1860—431no—
381#1764—431no—
382#1764—431no—
383C2×C43—21no—
384C2×C43—21no—
385C2×C43—42no—
386C2×C43—42no—
387C2×C43#235811yescharacteristic
388C2×C43#329011yescharacteristic
389C2×C43#329011yescharacteristic
390D43—82no—
391C2×2−1+4C2×D4311yescharacteristic
392C2×AGL(1,ℤ/8)—431no—
393C2×AGL(1,ℤ/8)—431no—
394C2×#131—431no—
395C2×#131C2×D4311yescharacteristic
396C2×#124—431no—
397#520—431no—
398#520C2×D4311yescharacteristic
399#518—431no—
400#454—438no—
401#442—861no—
402#442—861no—
403#440—861no—
404#440—861no—
405C4×SD16—861no—
406C4×SD16—861no—
407C4×D8—861no—
408C4×D8—861no—
409#428—431no—
410#428—431no—
411C2×#104—431no—
412C2×#104—431no—
413#419—21no—
414#419—431no—
415#419—861no—
416#419C2×D4311yescharacteristic
417#417—21no—
418#417—431no—
419#417—861no—
420#417C2×D4311yescharacteristic
421#416—21no—
422#416—431no—
423#416—861no—
424#416C2×D4311yescharacteristic
425C2×#103—21no—
426C2×#103—431no—
427C2×#103—861no—
428C2×#103C2×D4311yescharacteristic
429C2×#102—431no—
430C2×#102—431no—
431C2×#101—431no—
432C2×#100—431no—
433#405—431no—
434#405—431no—
435C2×C4×C8—431no—
436#382—431no—
437#343—431no—
438#343—431no—
439#341—431no—
440#341—431no—
441#339—431no—
442#339—431no—
443C43#2289511yescharacteristic, complemented, Sylow
4442−1+4—22no—
4452−1+4—22no—
4462−1+4—41no—
4472−1+4C4×D4314yescomplemented
448C2×#41—21no—
449C2×#41—21no—
450C2×#41—41no—
451C2×#41C22×D4311yescharacteristic
452C2×#41C22×D4311yescharacteristic
453C22×Q8—21no—
454C22×Q8—21no—
455C22×Q8C22×D4311yescharacteristic
456C22×D4—431no—
457AGL(1,ℤ/8)—434no—
458AGL(1,ℤ/8)—434no—
459AGL(1,ℤ/8)—862no—
460AGL(1,ℤ/8)—862no—
461C2×SD16—861no—
462C2×SD16—861no—
463C2×D8—861no—
464C2×D8—861no—
465#131—22no—
466#131—41no—
467#131—862no—
468#131—1721no—
469C2×M16—21no—
470C2×M16—431no—
471C2×M16—431no—
472C2×M16—431no—
473C2×M16—861no—
474C2×M16C22×D4311yescharacteristic
475C22×C8—21no—
476C22×C8—431no—
477C22×C8—861no—
478C22×C8C22×D4311yescharacteristic
479#124—434no—
480#124—1721no—
481C4×Q8—21no—
482C4×Q8—861no—
483C4×D4—21no—
484C4×D4—41no—
485C4×D4—861no—
486C4×D4—861no—
487C4×D4—861no—
488C4×D4—861no—
489C4×D4—861no—
490C4×D4—1721no—
491#117—21no—
492#117—431no—
493#117—861no—
494#117C22×D4311yescharacteristic
495C2×C4⋊C4—21no—
496C2×C4⋊C4—431no—
497C2×C4⋊C4—861no—
498C2×C4⋊C4C22×D4311yescharacteristic
499C2×C22⋊C4—1721no—
500C2×C22⋊C4—1721no—
501C2×C42—431no—
502#107—861no—
503#107—861no—
504#106—861no—
505#106—861no—
506#104—434no—
507#104—434no—
508#103—21no—
509#103—21no—
510#103—21no—
511#103—21no—
512#103—21no—
513#103—431no—
514#103—431no—
515#103—861no—
516#103—861no—
517#103—861no—
518#103—861no—
519#103—861no—
520#103C22⋊D4311yescharacteristic
521#103C22⋊D4311yescharacteristic
522#102—21no—
523#102—431no—
524#102—431no—
525#102—861no—
526#102—861no—
527#102—861no—
528#102—861no—
529#102—861no—
530#102C22⋊D4311yescharacteristic
531#102C22⋊D4311yescharacteristic
532#101—434no—
533#100—1721no—
534#97—861no—
535#97—861no—
536C4×C8—861no—
537C4×C8—861no—
538C4×C8—1721no—
539#95—1721no—
540C24—861no—
541#41—21no—
542#41—21no—
543#41—21no—
544#41—21no—
545#41—24no—
546#41—24no—
547#41—44no—
548#41—42no—
549#41—42no—
550#41—44no—
551#41C2×C4×D4312yes—
552#41C2×C4×D4312yes—
553#41#1062189812yes—
554#41#1062190012yes—
555C2×Q8—21no—
556C2×Q8—24no—
557C2×Q8—24no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—41no—
563C2×Q8—42no—
564C2×Q8—42no—
565C2×Q8C2×C4×D4312yes—
566C2×Q8D4×D4311yescharacteristic
567C2×Q8C2×C22⋊D4311yescharacteristic
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—41no—
571C2×D4—432no—
572C2×D4—861no—
573C2×D4—861no—
574C2×D4—861no—
575C2×D4—861no—
576C2×D4—861no—
577C2×D4D4×D4311yescharacteristic
578C2×D4C2×C22⋊D4311yescharacteristic
579C22×C4—21no—
580C22×C4—21no—
581C22×C4—21no—
582C22×C4—21no—
583C22×C4—41no—
584C22×C4—41no—
585C22×C4—41no—
586C22×C4—861no—
587C22×C4—861no—
588C22×C4—1721no—
589C22×C4—1721no—
590C22×C4—1721no—
591C22×C4C23×D4311yescharacteristic
592SD16—864no—
593SD16—864no—
594D8—864no—
595D8—864no—
596M16—21no—
597M16—21no—
598M16—42no—
599M16—432no—
600M16—432no—
601M16—861no—
602M16—861no—
603M16—861no—
604M16—861no—
605M16—1722no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—42no—
610C2×C8—431no—
611C2×C8—431no—
612C2×C8—861no—
613C2×C8—861no—
614C2×C8—861no—
615C2×C8—861no—
616C2×C8—861no—
617C2×C8—1722no—
618C2×C8C2×C22⋊D4311yescharacteristic
619C2×C8C2×C22⋊D4311yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—41no—
623C4⋊C4—431no—
624C4⋊C4—431no—
625C4⋊C4—861no—
626C4⋊C4—861no—
627C4⋊C4—1721no—
628C4⋊C4C2×C22⋊D4311yescharacteristic
629C4⋊C4C2×C22⋊D4311yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—41no—
632C22⋊C4—861no—
633C22⋊C4—1724no—
634C22⋊C4—1721no—
635C22⋊C4—1721no—
636C22⋊C4—1721no—
637C42—21no—
638C42—41no—
639C42—432no—
640C42—861no—
641C42—861no—
642C42—1721no—
643C23—21no—
644C23—21no—
645C23—862no—
646C23—3441no—
647C23—3441no—
648C23—1721no—
649C23—1721no—
650C23#1306337011yescharacteristic
651Q8—21no—
652Q8—21no—
653Q8—22no—
654Q8—22no—
655Q8—44no—
656Q8—41no—
657Q8—41no—
658Q8(C22⋊D43)⋊C412yes—
659Q8C4×C22⋊D4312yes—
660D4—22no—
661D4—22no—
662D4—22no—
663D4—22no—
664D4—21no—
665D4—21no—
666D4—44no—
667D4—862no—
668D4—862no—
669D4—1721no—
670D4—1721no—
671D4(C22⋊D43)⋊C412yes—
672D4C4×C22⋊D4312yes—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—81no—
688C2×C4—161no—
689C2×C4—862no—
690C2×C4—861no—
691C2×C4—861no—
692C2×C4—3441no—
693C2×C4—1721no—
694C2×C4—1721no—
695C2×C4—1721no—
696C2×C4—6881no—
697C2×C4—6881no—
698C2×C4—6881no—
699C2×C4C22×C4×D4311yescharacteristic
700C2×C4C2×D4×D4311yescharacteristic
701C2×C4C22×C22⋊D4311yescharacteristic
702C2×C4C2×#1062190011yescharacteristic
703C2×C4C2×#1062189811yescharacteristic
704C2×C4#1306337011yescharacteristic
705C8—21no—
706C8—21no—
707C8—41no—
708C8—862no—
709C8—862no—
710C8—861no—
711C8—861no—
712C8—1721no—
713C22—21no—
714C22—21no—
715C22—22no—
716C22—22no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—3442no—
722C22—3441no—
723C22—3441no—
724C22—1722no—
725C22—6881no—
726C22#1458337211yescharacteristic
727C22D4×C22⋊D4311yescharacteristic
728C22#1458357511yescharacteristic
729C4—22no—
730C4—22no—
731C4—42no—
732C4—41no—
733C4—41no—
734C4—81no—
735C4—3441no—
736C4—1722no—
737C4—1721no—
738C4—1721no—
739C4C2×(C22⋊D43)⋊C411yescharacteristic
740C4C2×C4×C22⋊D4311yescharacteristic
741C4#1458353911yescharacteristic
742C4#1458354311yescharacteristic
743C2—21no—
744C2—21no—
745C2—42no—
746C2—42no—
747C2—3442no—
748C2#1913757411yescharacteristic
749C2#1914637511yescharacteristic
750C2#1914638111yescharacteristic
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#22895
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. #19135403C2semidirect
6. #19135253C2semidirect
7. #19135247C2semidirect
8. #19135103C2semidirect
9. #19135101C2semidirect
10. #19134980C2semidirect
11. #19134828C2semidirect
12. #19134826C2semidirect
13. #19134435C2semidirect
14. #19134430C2semidirect
15. C43×#2898C2semidirect
22. #14583072C4semidirect
71. #13063350C2×C4semidirect
72. #13063350C2×C4semidirect
86. #13063314C2×C4semidirect
105. #13063252C2×C4semidirect
106. #13063252C2×C4semidirect
121. #13063244C2×C4semidirect
132. 2−1+4×C43C2×C4semidirect
372. #2898D43semidirect
443. C43#22895semidirect
447. 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
#191354032
#191352532
#191352472
#191351032
#191351012
#191349802
#191348282
#191348262
#191344352
#191344302
C43×#28982
#2289543