Finite Group Databasebeta

D43×#2920 #25960316

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

Aliases

direct productD43×#2920

Splittings

FittingC43×#2920 ⋊ C2
SylowC43 ⋊ C2×#2920

Subgroups

subgroupG/H
centerC42C23×D43
commutator, socleC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2920C2
prime radicalC24×D43C2×C4
cosocleC2×C4×C43C25
hypercenter#2920D43
hypocenterC43C2×#2920
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C42 ◁ #2920

2806 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, 1033287);