Finite Group Databasebeta

C2×C43⋊#2104 #25127585

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

Aliases

direct productC2×C43⋊#2104
unambiguous semidirect product(C2×C43)⋊#2104

Splittings

SylowC43 ⋊ C2×#2104

Subgroups

subgroupG/H
centerC22C43⋊#401
commutator, cosocleC24×C43C24
FrattiniC24C23×D43
FittingC2×C43×#342C2
socleC22×C43#401
prime radicalC25×C43C23
hypercenterC2×#342D43
hypocenterC43C2×#2104
LCSG ▷ C24×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C25 ◁ C2×#342

822 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

970 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 200556);