Finite Group Databasebeta

C2×#19135764 #25124018

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#19135764

Splittings

FittingC2×C43×#533 ⋊ C2
SylowC43 ⋊ C2×#2031

Subgroups

subgroupG/H
centerC2×C4#13063314
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#533C2
socleC22×C43#393
prime radicalC22×#10621898C22
hypercenterC2×#533D43
hypocenterC43C2×#2031
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#533

1234 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 196989);