Finite Group Databasebeta

C2×#131×Dic43 #25959999

order11008
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×#131×Dic43

Splittings

SylowC43 ⋊ C2×C4×#131

Subgroups

subgroupG/H
centerC22×C8C22×D43
commutatorC2×C43C23×C42
FrattiniC2×C4C24×D43
FittingC22×#131×C43C2
socleC23×C43C23×C4
prime radicalC22×#41×C43C22
cosocleC2×C4×C43C25
hypercenterC22×#131D43
hypocenterC43C2×C4×#131
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C8 ◁ C22×#131

3366 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1032970);