Finite Group Databasebeta

D43×#1773 #25094607

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productD43×#1773

Splittings

FittingC43×#1773 ⋊ C2
SylowC43 ⋊ C2×#1773

Subgroups

subgroupG/H
centerC2×C4C2×D4×D43
commutatorC4×C43C22×C42
FrattiniC22×C4C23×D43
FittingC43×#1773C2
socleC22×C43C2×C4×D4
prime radicalC23×D43#41
cosocleC22×C4×C43C24
hypercenter#1773D43
hypocenterC43C2×#1773
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C22×C8 ◁ #1773

1062 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, 167578);