Finite Group Databasebeta

D43×#1643 #25072257

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1643

Splittings

FittingC43×#1643 ⋊ C2
SylowC43 ⋊ C2×#1643

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1643C2
socleC22×C43C2×#120
prime radicalC2×D4×D43D4
hypercenter#1643D43
hypocenterC43C2×#1643
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1643

1022 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 145228);