Finite Group Databasebeta

D43×#2880 #25960039

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productD43×#2880

Splittings

FittingC43×#2880 ⋊ C2
SylowC43 ⋊ C2×#2880

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2880C2
prime radicalC22×#41×D43C2
cosocleC2×C4×C43C25
hypercenter#2880D43
hypocenterC43C2×#2880
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2880

5206 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033010);