Finite Group Databasebeta

C2×#19143077 #25960096

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

Aliases

direct productC2×#19143077

Splittings

FittingC2×C43×#568 ⋊ C2
SylowC43 ⋊ C2×#2889

Subgroups

subgroupG/H
centerC22C22×(C2×D43)⋊C4
commutatorC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#568C2
socleC22×C43C22×C22⋊C4
prime radicalC22×#13063372C2
cosocleC2×C4×C43C25
hypercenterC2×#568D43
hypocenterC43C2×#2889
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C22×#41 ◁ C2×#568

4770 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1510 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1033067);