Finite Group Databasebeta

D43×#2052 #25124468

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productD43×#2052

Splittings

FittingC43×#2052 ⋊ C2
SylowC43 ⋊ C2×#2052

Subgroups

subgroupG/H
centerC22#121×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2052C2
socleC22×C43C2×#121
prime radicalC2×#41×D43C22
hypercenter#2052D43
hypocenterC43C2×#2052
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×C4 ◁ #2052

1362 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, 197439);