Finite Group Databasebeta

← #25107974

Subgroups — #25107974

Order 11008.

976 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583037C211yesmaximal, characteristic
2#19137290C211yesmaximal, characteristic
3#19137179C211yesmaximal, characteristic, complemented
4#19135477C211yesmaximal, characteristic, complemented
5#19135450C211yesmaximal, characteristic, complemented
6#19135286C211yesmaximal, characteristic, complemented
7#19135272C211yesmaximal, characteristic, complemented
8#19135234C211yesmaximal, characteristic, complemented
9#19135227C211yesmaximal, characteristic, complemented
10#19134927C211yesmaximal, characteristic, complemented
11#19134927C211yesmaximal, characteristic, complemented
12#19134794C211yesmaximal, characteristic, complemented
13#19134531C211yesmaximal, characteristic, complemented
14#19134363C211yesmaximal, characteristic, complemented
15C43×#1875C211yesmaximal, characteristic
16C23×Dic86C2211yescharacteristic
17C22×#10621883C2211yescharacteristic
18C22×#10621883C2211yescharacteristic
19C2×D4×Dic43C2211yescharacteristic
20C2×#13063284C2211yescharacteristic
21#14583037C418yescomplemented
22C2×#13063258C2211yescharacteristic
23C2×#13063256C2211yescharacteristic
24C2×#13063250C2211yescharacteristic
25C2×#13063250C2211yescharacteristic
26C2×#13063250C2211yescharacteristic
27C2×#13063250C2211yescharacteristic
28C2×#13063248C2211yescharacteristic
29C2×#13063248C2211yescharacteristic
30C2×C22⋊(C43⋊C8)C2211yescharacteristic
31C2×#13063235C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33#14582805—21no—
34#14582805—21no—
35#14582804C2211yescharacteristic
36#14582804C2211yescharacteristic
37#14582804C2211yescharacteristic
38#14582804C2211yescharacteristic
39#14582802—21no—
40#14582802C2211yescharacteristic
41#14582798C2211yescharacteristic
42#14582792—21no—
43#14582779—21no—
44#14582774—21no—
45#14582760—21no—
46#14582760—21no—
47#14582759C2211yescharacteristic
48C4⋊C4×Dic43C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×#121×C43C2211yescharacteristic
54C2×#117×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×#102×C43C2211yescharacteristic
57C2×C22⋊C8×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C22×Dic86—21no—
61C22×Dic86—22no—
62C22×Dic86—41no—
63C22×Dic86—41no—
64C22×Dic86—41no—
65C22×Dic86—41no—
66C22×Dic86C2×C414yescomplemented
67C22×Dic86C2311yescharacteristic
68C22×Dic86C2311yescharacteristic
69C23×Dic43—21no—
70C23×Dic43—21no—
71C2×#10621883—41no—
72C2×#10621883—41no—
73C2×#10621883—41no—
74C2×#10621883—41no—
75C2×#10621883C2×C414yes—
76C2×#10621883C2×C414yes—
77C22×C43⋊C8C2311yescharacteristic
78C22×C43⋊C8C2311yescharacteristic
79D4×Dic43—41no—
80D4×Dic43—41no—
81#13063284—41no—
82#13063284—41no—
83C2×C4⋊Dic43—21no—
84C2×C4⋊Dic43D411yescharacteristic
85C2×C4⋊Dic43D411yescharacteristic
86C2×C4⋊Dic43C2311yescharacteristic
87C2×C4⋊Dic43C2311yescharacteristic
88C2×C22⋊Dic43—21no—
89C2×C22⋊Dic43—21no—
90C2×C22⋊Dic43—21no—
91C2×C22⋊Dic43—21no—
92C2×C22⋊Dic43D411yescharacteristic
93C2×C22⋊Dic43D411yescharacteristic
94C2×C4×Dic43—21no—
95C2×C4×Dic43C2311yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97#13063258—41no—
98#13063256—41no—
99#13063250—41no—
100#13063250—41no—
101#13063250—41no—
102#13063250—41no—
103#13063248C2×C414yescomplemented
104#13063248C2×C414yescomplemented
105C22⋊(C43⋊C8)C2×C414yescomplemented
106#13063235—41no—
107C8×Dic43—41no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C43⋊#95—21no—
114C43⋊#95—21no—
115C43⋊#95—21no—
116C43⋊#95—21no—
117C43⋊#95—21no—
118C43⋊#95—21no—
119C22×D4×C43—21no—
120C22×D4×C43C2311yescharacteristic
121C23×C4×C43C2311yescharacteristic
122C22×C8×C43C2311yescharacteristic
123C22×C8×C43C2311yescharacteristic
124#121×C43—22no—
125#121×C43C2×C414yes—
126#117×C43—41no—
127#117×C43—41no—
128C2×C4⋊C4×C43C2311yescharacteristic
129C2×C4⋊C4×C43C2311yescharacteristic
130C2×C4⋊C4×C43C2311yescharacteristic
131C2×C22⋊C4×C43—21no—
132C2×C22⋊C4×C43—21no—
133C2×C42×C43—21no—
134#102×C43—41no—
135#102×C43—41no—
136C22⋊C8×C43—22no—
137C24×C43—21no—
138C24×C43C2×D411yescharacteristic
139C2×D4×C43—21no—
140C2×D4×C43—24no—
141C2×D4×C43—21no—
142C2×D4×C43—21no—
143C2×D4×C43—21no—
144C2×D4×C43—21no—
145C2×D4×C43—81no—
146C2×D4×C43—81no—
147C2×D4×C43C22×C412yes—
148C22×C4×C43—21no—
149C22×C4×C43—21no—
150C22×C4×C43—21no—
151C22×C4×C43—21no—
152C22×C4×C43—21no—
153C22×C4×C43—21no—
154C22×C4×C43—21no—
155C22×C4×C43C22×C412yes—
156C22×C4×C43C2×D411yescharacteristic
157C22×C4×C43#4112yes—
158C22×C4×C43C2411yescharacteristic
159C22×Dic43—24no—
160C22×Dic43—21no—
161C22×Dic43—21no—
162C22×Dic43—21no—
163C22×Dic43—21no—
164C22×Dic43—42no—
165C22×Dic43—42no—
166C22×Dic43—42no—
167C22×Dic43—81no—
168C22×Dic43—81no—
169C22×Dic43C2×D411yescharacteristic
170C22×Dic43C2×D411yescharacteristic
171C22×Dic43C2×D411yescharacteristic
172C22×Dic43C2×D411yescharacteristic
173C2×Dic86—21no—
174C2×Dic86—21no—
175C2×Dic86—21no—
176C2×Dic86—21no—
177C2×Dic86—21no—
178C2×Dic86—21no—
179C2×Dic86—21no—
180C2×Dic86—21no—
181C2×Dic86—24no—
182C2×Dic86—21no—
183C2×Dic86—21no—
184C2×Dic86—44no—
185C2×Dic86—44no—
186C2×Dic86—42no—
187C2×Dic86—42no—
188C2×Dic86—44no—
189C2×Dic86—44no—
190C2×Dic86C22×C412yes—
191C2×Dic86C22×C412yes—
192C2×C8×C43—21no—
193C2×C8×C43—21no—
194C2×C8×C43—21no—
195C2×C8×C43—21no—
196C2×C8×C43—21no—
197C2×C8×C43—21no—
198C4⋊C4×C43—21no—
199C4⋊C4×C43—21no—
200C4⋊C4×C43—21no—
201C4⋊C4×C43—21no—
202C4⋊C4×C43—21no—
203C4⋊C4×C43C22×C412yes—
204C22⋊C4×C43—24no—
205C22⋊C4×C43—42no—
206C42×C43—42no—
207C22⋊Dic43—41no—
208C22⋊Dic43—41no—
209C22⋊Dic43—42no—
210C22⋊Dic43—81no—
211C22⋊Dic43—81no—
212C22⋊Dic43—81no—
213#10621883—44no—
214#10621883—44no—
215C4⋊Dic43—21no—
216C4⋊Dic43—21no—
217C4⋊Dic43—21no—
218C4⋊Dic43—21no—
219C4⋊Dic43—41no—
220C4⋊Dic43—41no—
221C4⋊Dic43—81no—
222C4×Dic43—21no—
223C4×Dic43—21no—
224C4×Dic43—21no—
225C4×Dic43—21no—
226C4×Dic43—81no—
227C2×C43⋊C8—21no—
228C2×C43⋊C8—21no—
229C2×C43⋊C8—21no—
230C2×C43⋊C8—21no—
231C2×C43⋊C8C22×C412yes—
232C2×C43⋊C8C22×C412yes—
233C23×C43—21no—
234C23×C43—21no—
235C23×C43—21no—
236C23×C43—21no—
237C23×C43—21no—
238C23×C43—21no—
239C23×C43—22no—
240C23×C43—41no—
241C23×C43—41no—
242C23×C43—41no—
243C23×C43—41no—
244C23×C43—41no—
245C23×C43—41no—
246C23×C43C4×D412yes—
247C23×C43C22×D411yescharacteristic
248D4×C43—22no—
249D4×C43—22no—
250D4×C43—41no—
251D4×C43—41no—
252D4×C43—84no—
253C2×C4×C43—21no—
254C2×C4×C43—21no—
255C2×C4×C43—22no—
256C2×C4×C43—22no—
257C2×C4×C43—22no—
258C2×C4×C43—22no—
259C2×C4×C43—22no—
260C2×C4×C43—41no—
261C2×C4×C43—41no—
262C2×C4×C43—41no—
263C2×C4×C43—41no—
264C2×C4×C43—41no—
265C2×C4×C43—41no—
266C2×C4×C43—41no—
267C2×C4×C43—41no—
268C2×C4×C43C4×D412yes—
269C2×C4×C43C23×C411yescharacteristic
270C2×C4×C43C2×#4111yescharacteristic
271C2×C4×C43H(5,𝔽2)11yescharacteristic
272C2×C4×C43H(5,𝔽2)11yescharacteristic
273C2×C4×C43H(5,𝔽2)11yescharacteristic
274C2×C4×C43H(5,𝔽2)11yescharacteristic
275C2×Dic43—22no—
276C2×Dic43—22no—
277C2×Dic43—21no—
278C2×Dic43—21no—
279C2×Dic43—21no—
280C2×Dic43—21no—
281C2×Dic43—21no—
282C2×Dic43—21no—
283C2×Dic43—21no—
284C2×Dic43—21no—
285C2×Dic43—21no—
286C2×Dic43—21no—
287C2×Dic43—21no—
288C2×Dic43—21no—
289C2×Dic43—48no—
290C2×Dic43—41no—
291C2×Dic43—41no—
292C2×Dic43—41no—
293C2×Dic43—41no—
294C2×Dic43—41no—
295C2×Dic43—41no—
296C2×Dic43—41no—
297C2×Dic43—41no—
298C2×Dic43—41no—
299C2×Dic43—41no—
300C2×Dic43—84no—
301Dic86—22no—
302Dic86—22no—
303Dic86—22no—
304Dic86—22no—
305Dic86—48no—
306Dic86—41no—
307Dic86—41no—
308Dic86—41no—
309Dic86—41no—
310C8×C43—41no—
311C8×C43—41no—
312C43⋊C8—22no—
313C43⋊C8—22no—
314#22058—431nomaximal, Sylow
315C22×C43—22no—
316C22×C43—22no—
317C22×C43—22no—
318C22×C43—41no—
319C22×C43—41no—
320C22×C43—41no—
321C22×C43—41no—
322C22×C43—42no—
323C22×C43—42no—
324C22×C43—42no—
325C22×C43—81no—
326C22×C43—81no—
327C22×C43—81no—
328C22×C43—81no—
329C22×C43C2×C4×D411yescharacteristic
330C22×C43#53411yescharacteristic
331C22×C43#53511yescharacteristic
332C22×C43#57711yescharacteristic
333C22×C43#57711yescharacteristic
334C22×C43#57711yescharacteristic
335C22×C43#57811yescharacteristic
336C4×C43—22no—
337C4×C43—42no—
338C4×C43—81no—
339C4×C43—81no—
340C4×C43#51811yescharacteristic
341C4×C43#51811yescharacteristic
342C4×C43#53811yescharacteristic
343C4×C43#53811yescharacteristic
344Dic43—42no—
345Dic43—42no—
346Dic43—41no—
347Dic43—41no—
348Dic43—41no—
349Dic43—41no—
350Dic43—81no—
351Dic43—81no—
352C2×#448—431no—
353#2324—431no—
354#2310—431no—
355#1973—431no—
356#1968—431no—
357#1935—431no—
358#1933—431no—
359#1928—431no—
360#1927—431no—
361#1877—431no—
362#1877—431no—
363#1875D4311yescharacteristic
364#1854—431no—
365#1787—431no—
366#1750—431no—
367C2×C43—42no—
368C2×C43—82no—
369C2×C43#232111yescharacteristic
370C2×C43#294711yescharacteristic
371C2×C43#294911yescharacteristic
372C2×C43#320011yescharacteristic
373C2×C43#320111yescharacteristic
374C2×C43#322111yescharacteristic
375C2×C43#322511yescharacteristic
376C23×Q8—431no—
377C22×SD16—431no—
378C22×SD16—431no—
379C2×#121C2×D4311yescharacteristic
380C2×C4×D4—431no—
381C2×#117—431no—
382C2×#117C2×D4311yescharacteristic
383#448—438no—
384C2×#107—431no—
385C2×#106—431no—
386C2×#103—431no—
387C2×#103—431no—
388C2×#103—431no—
389C2×#103—431no—
390C2×#103—431no—
391C2×#103—431no—
392C2×#102C2×D4311yescharacteristic
393C2×#102C2×D4311yescharacteristic
394C2×C22⋊C8—431no—
395C2×C22⋊C8C2×D4311yescharacteristic
396C2×#97—431no—
397C2×C4×C8—431no—
398#391—431no—
399#391—431no—
400#391—431no—
401#391—431no—
402#391—861no—
403#391—861no—
404#390—431no—
405#390—861no—
406#389—431no—
407#388—861no—
408#386—861no—
409#385—861no—
410#381—861no—
411#381—861no—
412#380—431no—
413C4×C4⋊C4—431no—
414#340—431no—
415#340—431no—
416#340C2×D4311yescharacteristic
417#340C2×D4311yescharacteristic
418#336—431no—
419#336—431no—
420C43#2205811yescharacteristic, complemented, Sylow
421C22×Q8—434no—
422C22×Q8—431no—
423C22×Q8—431no—
424C22×Q8—861no—
425C22×Q8—862no—
426C22×Q8—1721no—
427C22×Q8—1721no—
428C22×Q8—1721no—
429C22×Q8—1721no—
430C22×D4—21no—
431C22×D4C22×D4311yescharacteristic
432C23×C4—861no—
433C23×C4—861no—
434C23×C4C22×D4311yescharacteristic
435C2×SD16—434no—
436C2×SD16—434no—
437C2×SD16—1721no—
438C2×SD16—1721no—
439C2×SD16—1721no—
440C2×SD16—1721no—
441C22×C8—431no—
442C22×C8—431no—
443C22×C8C22×D4311yescharacteristic
444C22×C8C22×D4311yescharacteristic
445#121—22no—
446#121C4×D4314yes—
447C4×D4—1721no—
448C4×D4—1721no—
449#117—41no—
450#117—41no—
451#117—1721no—
452#117—1721no—
453C2×C4⋊C4—431no—
454C2×C4⋊C4—431no—
455C2×C4⋊C4—431no—
456C2×C4⋊C4—431no—
457C2×C4⋊C4—861no—
458C2×C4⋊C4C22×D4311yescharacteristic
459C2×C4⋊C4C22×D4311yescharacteristic
460C2×C4⋊C4C22×D4311yescharacteristic
461C2×C22⋊C4—21no—
462C2×C22⋊C4—21no—
463C2×C22⋊C4—431no—
464C2×C22⋊C4—431no—
465C2×C22⋊C4—861no—
466C2×C22⋊C4—861no—
467C2×C22⋊C4—861no—
468C2×C22⋊C4—861no—
469C2×C42—21no—
470C2×C42—431no—
471C2×C42—431no—
472C2×C42—861no—
473#107—1721no—
474#106—1721no—
475#103—434no—
476#103—434no—
477#103—1721no—
478#103—1721no—
479#103—1721no—
480#103—1721no—
481#102—41no—
482#102—41no—
483C22⋊C8—22no—
484C22⋊C8—434no—
485#97—1721no—
486C4×C8—1721no—
487#95—861no—
488#95—861no—
489#95—861no—
490#95—861no—
491#95—861no—
492#95—861no—
493#95—861no—
494#95—861no—
495#95—861no—
496#95—861no—
497#95—861no—
498C24—21no—
499C24D4×D4311yescharacteristic
500C2×Q8—432no—
501C2×Q8—432no—
502C2×Q8—864no—
503C2×Q8—861no—
504C2×Q8—861no—
505C2×Q8—861no—
506C2×Q8—861no—
507C2×Q8—861no—
508C2×Q8—861no—
509C2×Q8—861no—
510C2×Q8—861no—
511C2×Q8—861no—
512C2×Q8—861no—
513C2×Q8—1724no—
514C2×Q8—1724no—
515C2×Q8—1722no—
516C2×Q8—1722no—
517C2×Q8—1724no—
518C2×Q8—1724no—
519C2×D4—24no—
520C2×D4—21no—
521C2×D4—21no—
522C2×D4—21no—
523C2×D4—21no—
524C2×D4—21no—
525C2×D4—81no—
526C2×D4—81no—
527C2×D4C2×C4×D4312yes—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—21no—
534C22×C4—21no—
535C22×C4—431no—
536C22×C4—431no—
537C22×C4—431no—
538C22×C4—431no—
539C22×C4—864no—
540C22×C4—861no—
541C22×C4—861no—
542C22×C4—861no—
543C22×C4—861no—
544C22×C4—3441no—
545C22×C4—3441no—
546C22×C4—1722no—
547C22×C4—1722no—
548C22×C4—1722no—
549C22×C4C2×C4×D4312yes—
550C22×C4D4×D4311yescharacteristic
551C22×C4#1062190012yes—
552C22×C4C23×D4311yescharacteristic
553SD16—1724no—
554SD16—1724no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—21no—
560C2×C8—21no—
561C2×C8—432no—
562C2×C8—432no—
563C2×C8—861no—
564C2×C8—861no—
565C2×C8—861no—
566C2×C8—861no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—861no—
573C4⋊C4—861no—
574C4⋊C4—861no—
575C4⋊C4—861no—
576C4⋊C4—3441no—
577C4⋊C4—1721no—
578C4⋊C4—1721no—
579C4⋊C4C2×C4×D4312yes—
580C22⋊C4—24no—
581C22⋊C4—42no—
582C22⋊C4—3441no—
583C22⋊C4—3441no—
584C22⋊C4—3441no—
585C22⋊C4—1721no—
586C22⋊C4—1721no—
587C22⋊C4—1722no—
588C42—42no—
589C42—861no—
590C42—861no—
591C42—861no—
592C42—861no—
593C42—3441no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23(C22⋊D43)⋊C412yes—
608C23C2×D4×D4311yescharacteristic
609Q8—862no—
610Q8—862no—
611Q8—862no—
612Q8—862no—
613Q8—1728no—
614Q8—1721no—
615Q8—1721no—
616Q8—1721no—
617Q8—1721no—
618D4—22no—
619D4—22no—
620D4—41no—
621D4—41no—
622D4—84no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—41no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—862no—
639C2×C4—862no—
640C2×C4—861no—
641C2×C4—861no—
642C2×C4—861no—
643C2×C4—861no—
644C2×C4—861no—
645C2×C4—861no—
646C2×C4—861no—
647C2×C4—861no—
648C2×C4—861no—
649C2×C4—861no—
650C2×C4—861no—
651C2×C4—861no—
652C2×C4—3444no—
653C2×C4—1721no—
654C2×C4—1721no—
655C2×C4—1721no—
656C2×C4—1721no—
657C2×C4—1721no—
658C2×C4—1721no—
659C2×C4—1728no—
660C2×C4—1721no—
661C2×C4—1721no—
662C2×C4—1721no—
663C2×C4—1721no—
664C2×C4(C22⋊D43)⋊C412yes—
665C2×C4C22×C4×D4311yescharacteristic
666C2×C4C2×#1062190011yescharacteristic
667C2×C4#1306337011yescharacteristic
668C2×C4#1306337011yescharacteristic
669C2×C4#1306337111yescharacteristic
670C2×C4#1306337111yescharacteristic
671C8—41no—
672C8—41no—
673C8—862no—
674C8—862no—
675C22—22no—
676C22—22no—
677C22—22no—
678C22—41no—
679C22—41no—
680C22—41no—
681C22—41no—
682C22—42no—
683C22—42no—
684C22—42no—
685C22—81no—
686C22—81no—
687C22—81no—
688C22—81no—
689C22C2×(C22⋊D43)⋊C411yescharacteristic
690C22#1458346011yescharacteristic
691C22#1458346411yescharacteristic
692C22#1458370611yescharacteristic
693C22#1458370911yescharacteristic
694C22#1458370911yescharacteristic
695C22#1458371311yescharacteristic
696C4—22no—
697C4—42no—
698C4—81no—
699C4—81no—
700C4—3441no—
701C4—3441no—
702C4—1721no—
703C4—1721no—
704C4—1722no—
705C4—1722no—
706C4—1721no—
707C4—1721no—
708C4#1458337111yescharacteristic
709C4#1458337111yescharacteristic
710C4#1458348611yescharacteristic
711C4#1458348611yescharacteristic
712C2—42no—
713C2—82no—
714C2#1913725811yescharacteristic
715C2#1914344111yescharacteristic
716C2#1914345711yescharacteristic
717C2#1914546911yescharacteristic
718C2#1914547511yescharacteristic
719C2#1914565411yescharacteristic
720C2#1914570011yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1875C2
socleC23×C43C22×D4
prime radicalC2×#121×C43C22
cosocleC22×C4×C43C24
hypercenter#1875D43
hypocenterC43#22058
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ #1875

Complements

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

NH ≅ G/Ntype
3. #19137179C2semidirect
4. #19135477C2semidirect
5. #19135450C2semidirect
6. #19135286C2semidirect
7. #19135272C2semidirect
8. #19135234C2semidirect
9. #19135227C2semidirect
10. #19134927C2semidirect
11. #19134927C2semidirect
12. #19134794C2semidirect
13. #19134531C2semidirect
14. #19134363C2semidirect
21. #14583037C4semidirect
66. C22×Dic86C2×C4semidirect
103. #13063248C2×C4semidirect
104. #13063248C2×C4semidirect
105. C22⋊(C43⋊C8)C2×C4semidirect
420. C43#22058semidirect

Maximal subgroups

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

subgroupindex
C2×#145830372
#191372902
#191371792
#191354772
#191354502
#191352862
#191352722
#191352342
#191352272
#191349272
#191347942
#191345312
#191343632
C43×#18752
#2205843