Finite Group Databasebeta

C2×#19149365 #26010427

order11008
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC2×#19149365

Splittings

FittingC2×C43×#578 ⋊ C2
SylowC43 ⋊ C2×#3584

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC4×C43C26
FrattiniC4C25×D43
FittingC2×C43×#578C2
socleC22×C43C23×D4
hypercenterC2×#578D43
hypocenterC43C2×#3584
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C2×#41 ◁ C2×#578

10858 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1083398);