Finite Group Databasebeta

D43×#2014 #25123629

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

Aliases

direct productD43×#2014

Splittings

FittingC43×#2014 ⋊ C2
SylowC43 ⋊ C2×#2014

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC43×#2014C2
socleC23×C43C22×D4
prime radicalC2×#127×D43C2
hypercenter#2014D43
hypocenterC43C2×#2014
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2014

2726 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 196600);