Finite Group Databasebeta

C2×#441×D43 #25960632

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

Aliases

direct productC2×#441×D43

Splittings

FittingC2×C43×#441 ⋊ C2
SylowC43 ⋊ C22×#441

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#441C2
socleC23×C43C22×D4
prime radicalC23×D43C2×D4
cosocleC2×C4×C43C25
hypercenterC2×#441D43
hypocenterC43C22×#441
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#441

2790 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, 1033603);