Finite Group Databasebeta

D43×#1909 #25098566

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD43×#1909

Splittings

FittingC43×#1909 ⋊ C2
SylowC43 ⋊ C2×#1909

Subgroups

subgroupG/H
centerC2#386×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1909C2
socleC2×C43C2×#386
prime radicalC2×#41×D43C22
cosocleC22×C4×C43C24
hypercenter#1909D43
hypocenterC43C2×#1909
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C22×C4 ◁ #1909

1686 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 171537);