Finite Group Databasebeta

D43×#1615 #25068741

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

Aliases

direct productD43×#1615

Splittings

FittingC43×#1615 ⋊ C2
SylowC43 ⋊ C2×#1615

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1615C2
socleC22×C43C2×#120
prime radical#121×D43C22
hypercenter#1615D43
hypocenterC43C2×#1615
LCSG ▷ C22×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1615

1016 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 141712);