Finite Group Databasebeta

D43×#1759 #25094311

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productD43×#1759

Splittings

FittingC43×#1759 ⋊ C2
SylowC43 ⋊ C2×#1759

Subgroups

subgroupG/H
centerC2×C4C2×D4×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC43×#1759C2
socleC22×C43C22×C22⋊C4
prime radicalC2×#41×D43C22
cosocleC22×C4×C43C24
hypercenter#1759D43
hypocenterC43C2×#1759
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1759

1662 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, 167282);