Finite Group Databasebeta

C2×#407×D43 #25960025

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#407×D43

Splittings

FittingC2×C43×#407 ⋊ C2
SylowC43 ⋊ C22×#407

Subgroups

subgroupG/H
centerC22×C4C23×D43
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#407C2
socleC23×C43C23×C4
prime radicalC25×D43C4
cosocleC2×C4×C43C25
hypercenterC2×#407D43
hypocenterC43C22×#407
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×#407

7214 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032996);