Finite Group Databasebeta

C2×#19149081 #26004314

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C213

Aliases

direct productC2×#19149081

Splittings

SylowC43 ⋊ C2×#3555

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#542C2
socleC23×C43C25
prime radicalC2×#121×C43C22
hypercenterC2×#542D43
hypocenterC43C2×#3555
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#542

6446 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1000 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1077285);