Finite Group Databasebeta

D43×#2102 #25126560

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

Aliases

direct productD43×#2102

Splittings

FittingC43×#2102 ⋊ C2
SylowC43 ⋊ C2×#2102

Subgroups

subgroupG/H
centerC4#124×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2102C2
socleC2×C43C2×#400
prime radicalC23×D43#41
hypercenter#2102D43
hypocenterC43C2×#2102
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2102

710 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, 199531);