Finite Group Databasebeta

#1443×D83 #35326094

order21248
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct product#1443×D83

Splittings

FittingC83×#1443 ⋊ C2
SylowC83 ⋊ C2×#1443

Subgroups

subgroupG/H
center, FrattiniC24C23×D83
commutatorC23×C83C23×C4
FittingC83×#1443C2
socle, cosocleC24×C83C24
prime radicalC24×D83C23
hypercenter#1443D83
hypocenterC83C2×#1443
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ #1443

2638 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10624

Conjugacy classes & character table

1892 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 91258);