Finite Group Databasebeta

← #25117390

Subgroups — #25117390

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×#14583077C211yesmaximal, characteristic
2#19143441C211yesmaximal, characteristic, complemented
3#19143434C211yesmaximal, characteristic, complemented
4#19143121C211yesmaximal, characteristic
5#19135410C211yesmaximal, characteristic, complemented
6#19135260C211yesmaximal, characteristic, complemented
7#19135254C211yesmaximal, characteristic, complemented
8#19135110C211yesmaximal, characteristic, complemented
9#19135108C211yesmaximal, characteristic, complemented
10#19134995C211yesmaximal, characteristic, complemented
11#19134821C211yesmaximal, characteristic, complemented
12#19134819C211yesmaximal, characteristic, complemented
13#19134442C211yesmaximal, characteristic, complemented
14#19134437C211yesmaximal, characteristic, complemented
15C43×#2897C211yesmaximal, characteristic
16C2×#13063355C2211yescharacteristic
17C2×#13063355C2211yescharacteristic
18C2×#13063332C2211yescharacteristic
19C2×#13063312C2211yescharacteristic
20#14583382C2211yescharacteristic
21#14583376C2211yescharacteristic, complemented
22#14583077C418yescomplemented
23#14583004—21no—
24#14583003—21no—
25#14582999—21no—
26#14582996—21no—
27C4×#10621885—21no—
28#14582991—21no—
29#14582990—21no—
30C4×#10621883—21no—
31#14582942C2211yescharacteristic, complemented
32#14582939C2211yescharacteristic, complemented
33C2×#13063252C2211yescharacteristic
34C2×#13063252C2211yescharacteristic
35#14582904—21no—
36#14582904C2211yescharacteristic
37#14582900—21no—
38#14582900C2211yescharacteristic
39#14582895—21no—
40#14582895C2211yescharacteristic
41C2×#13063250C2211yescharacteristic, complemented
42C2×#13063248C2211yescharacteristic, complemented
43C2×#13063246—21no—
44C2×#13063246C2211yescharacteristic
45C2×#13063243C2211yescharacteristic, complemented
46C2×#13063242C2211yescharacteristic
47#14582855C2211yescharacteristic, complemented
48#14582854C2211yescharacteristic, complemented
49C2×#13063235C2211yescharacteristic, complemented
50#14582768C2211yescharacteristic, complemented
51#14582668C2211yescharacteristic, complemented
52#14582667C2211yescharacteristic, complemented
53#14582664C2211yescharacteristic, complemented
54#14582663C2211yescharacteristic, complemented
55#14582660C2211yescharacteristic, complemented
56#14582658C2211yescharacteristic, complemented
57C2×H(5,𝔽2)×C43C2211yescharacteristic
58C2×#131×C43C2211yescharacteristic
59C43×#520C2211yescharacteristic
60C43×#418—21no—
61C43×#418C2211yescharacteristic
62C43×#417—21no—
63C43×#417C2211yescharacteristic
64C43×#416—21no—
65C43×#416C2211yescharacteristic
66C2×#102×C43—21no—
67C2×#102×C43C2211yescharacteristic
68C22×Dic86C2311yescharacteristic
69#13063355—22no—
70#13063355—22no—
71#13063355C2×C414yescomplemented
72#13063355C2×C414yescomplemented
73C2×#10621885—21no—
74C2×#10621885—21no—
75C2×#10621883—21no—
76C2×#10621883—21no—
77#13063332—22no—
78#13063332—41no—
79C2×#10621877—21no—
80C2×#10621877C2311yescharacteristic
81C2×#10621877C2311yescharacteristic
82C2×#10621877C2311yescharacteristic
83C22×C43⋊C8—21no—
84C22×C43⋊C8C2311yescharacteristic
85#13063312—41no—
86#13063312C2×C414yescomplemented
87Q8×Dic43—21no—
88C4×Dic86—21no—
89C4×Dic86—21no—
90#13063290—21no—
91#13063290—21no—
92D4×Dic43—21no—
93D4×Dic43—41no—
94#13063284—21no—
95#13063284C2311yescharacteristic
96#13063281—41no—
97C2×C4⋊Dic43—21no—
98C2×C4⋊Dic43C2311yescharacteristic
99C2×Dic43⋊C4—41no—
100C2×C22⋊Dic43—41no—
101C2×C4×Dic43C2311yescharacteristic
102#13063258—21no—
103#13063258—21no—
104#13063256—21no—
105#13063256—21no—
106#13063252C2×C414yescomplemented
107#13063252C2×C414yescomplemented
108#13063250—21no—
109#13063250—21no—
110#13063249—21no—
111#13063249D411yescharacteristic
112#13063249D411yescharacteristic
113#13063248—21no—
114#13063248—21no—
115#13063246—21no—
116#13063246—21no—
117#13063246—21no—
118#13063246—21no—
119#13063246—21no—
120#13063246D411yescharacteristic
121#13063246D411yescharacteristic
122#13063243—41no—
123#13063242C2×C414yescomplemented
124#13063236—21no—
125#13063235—21no—
126#13063235—41no—
127C4×C43⋊C8—21no—
128C8×Dic43—21no—
129H(5,𝔽2)×C43—22no—
130H(5,𝔽2)×C43—22no—
131H(5,𝔽2)×C43—41no—
132H(5,𝔽2)×C43C2×C414yes—
133C2×#41×C43—21no—
134C2×#41×C43—21no—
135C2×#41×C43C2311yescharacteristic
136C2×#41×C43C2311yescharacteristic
137C22×D4×C43—21no—
138C22×D4×C43—21no—
139C22×D4×C43—41no—
140C22×D4×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×C43D411yescharacteristic
156#103×C43D411yescharacteristic
157#102×C43—21no—
158#102×C43—21no—
159#102×C43—21no—
160#102×C43—21no—
161#102×C43—21no—
162#102×C43D411yescharacteristic
163#102×C43D411yescharacteristic
164C24×C43—21no—
165C24×C43—41no—
166#41×C43—21no—
167#41×C43—21no—
168#41×C43—21no—
169#41×C43—21no—
170#41×C43—24no—
171#41×C43—24no—
172#41×C43—42no—
173#41×C43—42no—
174#41×C43C22×C412yes—
175#41×C43C22×C412yes—
176#41×C43#4112yes—
177#41×C43#4112yes—
178C2×Q8×C43C2×D411yescharacteristic
179C2×Q8×C43C2×D411yescharacteristic
180C2×D4×C43—21no—
181C2×D4×C43—21no—
182C2×D4×C43—21no—
183C2×D4×C43—24no—
184C2×D4×C43—24no—
185C2×D4×C43—21no—
186C2×D4×C43—21no—
187C2×D4×C43—21no—
188C2×D4×C43—21no—
189C2×D4×C43—41no—
190C2×D4×C43—41no—
191C2×D4×C43—44no—
192C2×D4×C43—42no—
193C2×D4×C43—42no—
194C2×D4×C43—44no—
195C2×D4×C43C22×C412yes—
196C2×D4×C43C2×D411yescharacteristic
197C2×D4×C43C2×D411yescharacteristic
198C22×C4×C43—21no—
199C22×C4×C43—21no—
200C22×C4×C43—21no—
201C22×C4×C43—41no—
202C22×C4×C43—41no—
203C22×C4×C43C2411yescharacteristic
204C22×Dic43—21no—
205C22×Dic43—21no—
206C22×Dic43—21no—
207C22×Dic43—41no—
208C2×Dic86—21no—
209C2×Dic86—21no—
210C2×Dic86—21no—
211C2×Dic86—21no—
212C2×Dic86—21no—
213C2×Dic86C22×C412yes—
214M16×C43—21no—
215M16×C43—21no—
216M16×C43—42no—
217C2×C8×C43—21no—
218C2×C8×C43—21no—
219C2×C8×C43—21no—
220C2×C8×C43—42no—
221C2×C8×C43C2×D411yescharacteristic
222C2×C8×C43C2×D411yescharacteristic
223C4⋊C4×C43—21no—
224C4⋊C4×C43—21no—
225C4⋊C4×C43—41no—
226C4⋊C4×C43C2×D411yescharacteristic
227C4⋊C4×C43C2×D411yescharacteristic
228C22⋊C4×C43—21no—
229C22⋊C4×C43—41no—
230C42×C43—21no—
231C42×C43—41no—
232C22⋊Dic43—21no—
233C22⋊Dic43—44no—
234C22⋊Dic43—41no—
235#10621885—24no—
236#10621885—24no—
237#10621883—24no—
238#10621883—24no—
239C4⋊Dic43—21no—
240C4⋊Dic43—21no—
241C4⋊Dic43—41no—
242C4⋊Dic43C2×D411yescharacteristic
243C4⋊Dic43C2×D411yescharacteristic
244Dic43⋊C4—41no—
245Dic43⋊C4—41no—
246Dic43⋊C4—82no—
247C4×Dic43—21no—
248C4×Dic43—21no—
249C4×Dic43—41no—
250C4×Dic43—41no—
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×C43—22no—
271C23×C43—44no—
272C23×C43—41no—
273C23×C43—41no—
274C23×C43—81no—
275C23×C43—81no—
276C23×C43—161no—
277C23×C43—161no—
278C23×C43H(5,𝔽2)11yescharacteristic
279Q8×C43—21no—
280Q8×C43—21no—
281Q8×C43C4×D412yes—
282Q8×C43C4×D412yes—
283D4×C43—22no—
284D4×C43—22no—
285D4×C43—22no—
286D4×C43—22no—
287D4×C43—22no—
288D4×C43—22no—
289D4×C43—21no—
290D4×C43—21no—
291D4×C43—44no—
292D4×C43—44no—
293D4×C43—41no—
294D4×C43—41no—
295D4×C43C4×D412yes—
296D4×C43C4×D412yes—
297C2×C4×C43—21no—
298C2×C4×C43—21no—
299C2×C4×C43—22no—
300C2×C4×C43—22no—
301C2×C4×C43—22no—
302C2×C4×C43—22no—
303C2×C4×C43—21no—
304C2×C4×C43—21no—
305C2×C4×C43—44no—
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—22no—
317C2×Dic43—21no—
318C2×Dic43—21no—
319C2×Dic43—41no—
320C2×Dic43—41no—
321C2×Dic43—41no—
322C2×Dic43—41no—
323C2×Dic43—41no—
324C2×Dic43—81no—
325C2×Dic43—161no—
326Dic86—22no—
327Dic86—22no—
328Dic86—41no—
329Dic86—41no—
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#22890—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—42no—
348C22×C43—82no—
349C22×C43—81no—
350C22×C43—81no—
351C22×C43—161no—
352C22×C43—164no—
353C22×C43#51811yescharacteristic
354C22×C43D4211yescharacteristic
355C22×C43#55111yescharacteristic
356C4×C43—22no—
357C4×C43—22no—
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—42no—
367Dic43—41no—
368Dic43—41no—
369Dic43—81no—
370C2×#455—431no—
371#2947—431no—
372#2947—431no—
373#2897—431no—
374#2897D4311yescharacteristic
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#1765—431no—
385C2×C43—21no—
386C2×C43—21no—
387C2×C43—42no—
388C2×C43—42no—
389C2×C43—82no—
390C2×C43#235811yescharacteristic
391C2×C43#328811yescharacteristic
392C2×C43#328911yescharacteristic
393C2×H(5,𝔽2)C2×D4311yescharacteristic
394C2×#137—431no—
395C2×#137—431no—
396C2×#131—431no—
397C2×#131C2×D4311yescharacteristic
398C2×#124—431no—
399#520—431no—
400#520C2×D4311yescharacteristic
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×#104—431no—
415#418—21no—
416#418—431no—
417#418—861no—
418#418C2×D4311yescharacteristic
419#417—21no—
420#417—431no—
421#417—861no—
422#417C2×D4311yescharacteristic
423#416—21no—
424#416—431no—
425#416—861no—
426#416C2×D4311yescharacteristic
427C2×#103—431no—
428C2×#103—431no—
429C2×#102—21no—
430C2×#102—431no—
431C2×#102—861no—
432C2×#102C2×D4311yescharacteristic
433C2×#101—431no—
434C2×#100—431no—
435#405—431no—
436#405—431no—
437C2×#97—431no—
438#384—431no—
439#343—431no—
440#343—431no—
441#341—431no—
442#341—431no—
443#339—431no—
444#339—431no—
445C43#2289011yescharacteristic, complemented, Sylow
446H(5,𝔽2)—22no—
447H(5,𝔽2)—22no—
448H(5,𝔽2)—41no—
449H(5,𝔽2)C4×D4314yes—
450C2×#41—21no—
451C2×#41—21no—
452C2×#41C22×D4311yescharacteristic
453C2×#41C22×D4311yescharacteristic
454C22×Q8—431no—
455C22×D4—21no—
456C22×D4—21no—
457C22×D4—41no—
458C22×D4C22×D4311yescharacteristic
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—431no—
475C2×M16—861no—
476C2×M16C22×D4311yescharacteristic
477C22×C8—21no—
478C22×C8—431no—
479C22×C8—861no—
480C22×C8C22×D4311yescharacteristic
481#124—434no—
482#124—1721no—
483C4×Q8—21no—
484C4×Q8—861no—
485C4×Q8—861no—
486C4×Q8—861no—
487C4×Q8—861no—
488C4×Q8—861no—
489C4×D4—21no—
490C4×D4—41no—
491C4×D4—861no—
492C4×D4—1721no—
493#117—21no—
494#117—431no—
495#117—861no—
496#117—1721no—
497#117C22×D4311yescharacteristic
498C2×C4⋊C4—21no—
499C2×C4⋊C4—431no—
500C2×C4⋊C4—861no—
501C2×C4⋊C4—1721no—
502C2×C4⋊C4C22×D4311yescharacteristic
503C2×C22⋊C4—1721no—
504C2×C42—431no—
505#107—861no—
506#107—861no—
507#106—861no—
508#106—861no—
509#104—434no—
510#104—434no—
511#103—21no—
512#103—431no—
513#103—431no—
514#103—861no—
515#103—861no—
516#103—861no—
517#103—861no—
518#103—861no—
519#103C22⋊D4311yescharacteristic
520#103C22⋊D4311yescharacteristic
521#102—21no—
522#102—21no—
523#102—21no—
524#102—21no—
525#102—21no—
526#102—431no—
527#102—431no—
528#102—861no—
529#102—861no—
530#102—861no—
531#102—861no—
532#102—861no—
533#102C22⋊D4311yescharacteristic
534#102C22⋊D4311yescharacteristic
535#101—1721no—
536#100—434no—
537#97—861no—
538#97—861no—
539#97—1721no—
540C4×C8—861no—
541C4×C8—861no—
542C24—21no—
543C24—41no—
544#41—21no—
545#41—21no—
546#41—21no—
547#41—21no—
548#41—24no—
549#41—24no—
550#41—42no—
551#41—42no—
552#41C2×C4×D4312yes—
553#41C2×C4×D4312yes—
554#41#1062189812yes—
555#41#1062190012yes—
556C2×Q8—432no—
557C2×Q8—861no—
558C2×Q8—861no—
559C2×Q8—861no—
560C2×Q8—861no—
561C2×Q8—861no—
562C2×Q8D4×D4311yescharacteristic
563C2×Q8C2×C22⋊D4311yescharacteristic
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—24no—
567C2×D4—24no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—42no—
574C2×D4—42no—
575C2×D4—41no—
576C2×D4—41no—
577C2×D4—44no—
578C2×D4—44no—
579C2×D4C2×C4×D4312yes—
580C2×D4D4×D4311yescharacteristic
581C2×D4C2×C22⋊D4311yescharacteristic
582C22×C4—21no—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—41no—
586C22×C4—41no—
587C22×C4—861no—
588C22×C4—861no—
589C22×C4—861no—
590C22×C4—1721no—
591C22×C4C23×D4311yescharacteristic
592Q16—864no—
593Q16—864no—
594SD16—864no—
595SD16—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—3442no—
628C4⋊C4—1721no—
629C4⋊C4—1721no—
630C4⋊C4—1721no—
631C4⋊C4C2×C22⋊D4311yescharacteristic
632C4⋊C4C2×C22⋊D4311yescharacteristic
633C22⋊C4—21no—
634C22⋊C4—41no—
635C22⋊C4—861no—
636C22⋊C4—1724no—
637C22⋊C4—1721no—
638C42—21no—
639C42—41no—
640C42—432no—
641C42—861no—
642C42—861no—
643C42—1721no—
644C42—1721no—
645C42—1721no—
646C23—21no—
647C23—21no—
648C23—22no—
649C23—44no—
650C23—41no—
651C23—41no—
652C23—81no—
653C23—81no—
654C23—161no—
655C23—161no—
656C23#1306337011yescharacteristic
657Q8—21no—
658Q8—21no—
659Q8—862no—
660Q8—862no—
661Q8—1721no—
662Q8—1721no—
663Q8(C22⋊D43)⋊C412yes—
664Q8C4×C22⋊D4312yes—
665D4—22no—
666D4—22no—
667D4—22no—
668D4—22no—
669D4—22no—
670D4—22no—
671D4—21no—
672D4—21no—
673D4—44no—
674D4—44no—
675D4—41no—
676D4—41no—
677D4(C22⋊D43)⋊C412yes—
678D4C4×C22⋊D4312yes—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—81no—
690C2×C4—161no—
691C2×C4—862no—
692C2×C4—862no—
693C2×C4—861no—
694C2×C4—861no—
695C2×C4—3441no—
696C2×C4—1721no—
697C2×C4—1721no—
698C2×C4—1721no—
699C2×C4—1721no—
700C2×C4—1721no—
701C2×C4—6881no—
702C2×C4C22×C4×D4311yescharacteristic
703C2×C4C2×D4×D4311yescharacteristic
704C2×C4C22×C22⋊D4311yescharacteristic
705C2×C4C2×#1062190011yescharacteristic
706C2×C4C2×#1062189811yescharacteristic
707C2×C4#1306337011yescharacteristic
708C8—21no—
709C8—21no—
710C8—41no—
711C8—862no—
712C8—862no—
713C8—861no—
714C8—861no—
715C8—1721no—
716C22—21no—
717C22—21no—
718C22—22no—
719C22—22no—
720C22—41no—
721C22—41no—
722C22—41no—
723C22—41no—
724C22—42no—
725C22—82no—
726C22—81no—
727C22—81no—
728C22—161no—
729C22—164no—
730C22#1458337211yescharacteristic
731C22D4×C22⋊D4311yescharacteristic
732C22#1458357511yescharacteristic
733C4—22no—
734C4—22no—
735C4—41no—
736C4—41no—
737C4—81no—
738C4—3441no—
739C4—1722no—
740C4—1722no—
741C4—1721no—
742C4—1721no—
743C4C2×(C22⋊D43)⋊C411yescharacteristic
744C4C2×C4×C22⋊D4311yescharacteristic
745C4#1458353911yescharacteristic
746C4#1458354311yescharacteristic
747C2—21no—
748C2—21no—
749C2—42no—
750C2—42no—
751C2—82no—
752C2#1913757411yescharacteristic
753C2#1914635911yescharacteristic
754C2#1914636811yescharacteristic
subgroupG/H
centerC22D4×C22⋊D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#2897C2
socleC22×C43D42
prime radicalC2×H(5,𝔽2)×C43C22
cosocleC22×C4×C43C24
hypercenter#2897D43
hypocenterC43#22890
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2897

Complements

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

NH ≅ G/Ntype
2. #19143441C2semidirect
3. #19143434C2semidirect
5. #19135410C2semidirect
6. #19135260C2semidirect
7. #19135254C2semidirect
8. #19135110C2semidirect
9. #19135108C2semidirect
10. #19134995C2semidirect
11. #19134821C2semidirect
12. #19134819C2semidirect
13. #19134442C2semidirect
14. #19134437C2semidirect
21. #14583376C22semidirect
22. #14583077C4semidirect
31. #14582942C22semidirect
32. #14582939C22semidirect
41. C2×#13063250C22semidirect
42. C2×#13063248C22semidirect
45. C2×#13063243C22semidirect
47. #14582855C22semidirect
48. #14582854C22semidirect
49. C2×#13063235C22semidirect
50. #14582768C22semidirect
51. #14582668C22semidirect
52. #14582667C22semidirect
53. #14582664C22semidirect
54. #14582663C22semidirect
55. #14582660C22semidirect
56. #14582658C22semidirect
71. #13063355C2×C4semidirect
72. #13063355C2×C4semidirect
86. #13063312C2×C4semidirect
106. #13063252C2×C4semidirect
107. #13063252C2×C4semidirect
123. #13063242C2×C4semidirect
445. C43#22890semidirect

Maximal subgroups

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

subgroupindex
C2×#145830772
#191434412
#191434342
#191431212
#191354102
#191352602
#191352542
#191351102
#191351082
#191349952
#191348212
#191348192
#191344422
#191344372
C43×#28972
#2289043