Finite Group Databasebeta

C2×#19135868 #25124427

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

Aliases

direct productC2×#19135868

Splittings

FittingC2×C43×#413 ⋊ C2
SylowC43 ⋊ C2×#2048

Subgroups

subgroupG/H
centerC22#14582814
commutator, cosocleC22×C4×C43C24
FrattiniC22×C4C23×D43
FittingC2×C43×#413C2
socleC22×C43#394
prime radicalC22×#13063350C2
hypercenterC2×#413D43
hypocenterC43C2×#2048
LCSG ▷ C22×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#413

1450 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, 197398);