Finite Group Databasebeta

C2×#19135772 #25124035

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

Aliases

direct productC2×#19135772

Splittings

SylowC43 ⋊ C2×#2032

Subgroups

subgroupG/H
centerC22#14582811
commutator, cosocleC24×C43C24
FrattiniC24C23×D43
FittingC22×#99×C43C2
socleC22×C43#393
prime radicalC23×D4×C43C22
hypercenterC22×#99D43
hypocenterC43C2×#2032
LCSG ▷ C24×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C25 ◁ C22×#99

1434 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

970 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 197006);