Finite Group Databasebeta

D43×#2008 #25123586

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

Aliases

direct productD43×#2008

Splittings

FittingC43×#2008 ⋊ C2
SylowC43 ⋊ C2×#2008

Subgroups

subgroupG/H
centerC2#392×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2008C2
socleC2×C43C2×#392
hypercenter#2008D43
hypocenterC43C2×#2008
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C22×C4 ◁ #2008

2118 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 196557);