Finite Group Databasebeta

D43×#1695 #25079128

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct productD43×#1695

Splittings

FittingC43×#1695 ⋊ C2
SylowC43 ⋊ C2×#1695

Subgroups

subgroupG/H
centerC22#121×D43
commutator, cosocleC42×C43C24
FrattiniC42C23×D43
FittingC43×#1695C2
socleC22×C43C2×#121
prime radicalC2×D4×D43D4
hypercenter#1695D43
hypocenterC43C2×#1695
LCSG ▷ C42×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C22 ◁ C42 ◁ #1695

694 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, 152099);