Finite Group Databasebeta

C2×#410×D43 #25960059

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29×C4

Aliases

direct productC2×#410×D43

Splittings

FittingC2×C43×#410 ⋊ C2
SylowC43 ⋊ C22×#410

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C24×C4
FrattiniC23C24×D43
FittingC2×C43×#410C2
socleC22×C43C22×C22⋊C4
prime radicalC22×#41×D43C2
cosocleC23×C43C25
hypercenterC2×#410D43
hypocenterC43C22×#410
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#410

5278 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, 1033030);