Finite Group Databasebeta

D43×#1613 #25068715

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD43×#1613

Splittings

FittingC43×#1613 ⋊ C2
SylowC43 ⋊ C2×#1613

Subgroups

subgroupG/H
centerC22#120×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#1613C2
socleC22×C43C2×#120
prime radical#534×D43C2
hypercenter#1613D43
hypocenterC43C2×#1613
LCSG ▷ C22×C4×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1613

1524 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, 141686);