Finite Group Databasebeta

D43×#2921 #25960323

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

Aliases

direct productD43×#2921

Splittings

FittingC43×#2921 ⋊ C2
SylowC43 ⋊ C2×#2921

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2921C2
prime radicalC24×D43C2×C4
cosocleC2×C4×C43C25
hypercenter#2921D43
hypocenterC43C2×#2921
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2921

2198 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033294);