Finite Group Databasebeta

D43×#1285 #24986339

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct productD43×#1285

Splittings

FittingC43×#1285 ⋊ C2
SylowC43 ⋊ C2×#1285

Subgroups

subgroupG/H
centerC22#95×D43
commutatorC2×C4×C43C2×C42
FrattiniC2×C42C22×D43
FittingC43×#1285C2
socleC22×C43C2×#95
prime radicalC23×D43C22⋊C4
cosocleC2×C42×C43C23
hypercenter#1285D43
hypocenterC43C2×#1285
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1285

746 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, 59310);