Finite Group Databasebeta

C2×#19143419 #25960676

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#19143419

Splittings

SylowC43 ⋊ C2×C4×#137

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#417C2
socleC23×C43C22×D4
prime radicalC22×#41×C43C22
cosocleC2×C4×C43C25
hypercenterC2×#417D43
hypocenterC43C2×C4×#137
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

2810 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, 1033647);