Finite Group Databasebeta

C2×#19144667 #25964671

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productC2×#19144667

Splittings

FittingC2×C43×#431 ⋊ C2
SylowC43 ⋊ C2×#3107

Subgroups

subgroupG/H
centerC22×C4C2×D172
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#431C2
socleC23×C43C22×D4
prime radicalC22×#10621898C22
hypercenterC2×#431D43
hypocenterC43C2×#3107
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C22×C42 ◁ C2×#431

2170 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1756 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1037642);