Finite Group Databasebeta

C2×#19148752 #26003720

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

Aliases

direct productC2×#19148752

Splittings

FittingC2×C43×H(3,𝔽4) ⋊ C2
SylowC43 ⋊ C2×#3532

Subgroups

subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×H(3,𝔽4)C2
socleC23×C43C25
hypercenterC2×H(3,𝔽4)D43
hypocenterC43C2×#3532
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×H(3,𝔽4)

9542 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1076691);