Finite Group Databasebeta

D43×#2922 #25960329

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4

Aliases

direct productD43×#2922

Splittings

FittingC43×#2922 ⋊ C2
SylowC43 ⋊ C2×#2922

Subgroups

subgroupG/H
centerC42C23×D43
commutator, socleC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2922C2
prime radicalC2×#41×D43C22
cosocleC2×C4×C43C25
hypercenter#2922D43
hypocenterC43C2×#2922
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C42 ◁ #2922

2222 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033300);