Finite Group Databasebeta

C2×#418×D43 #25960117

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

Aliases

direct productC2×#418×D43

Splittings

FittingC2×C43×#418 ⋊ C2
SylowC43 ⋊ C22×#418

Subgroups

subgroupG/H
centerC23C2×D4×D43
commutatorC4×C43C24×C4
FrattiniC2×C4C24×D43
FittingC2×C43×#418C2
socleC23×C43C22×D4
prime radicalC23×D4×D43C2
cosocleC2×C4×C43C25
hypercenterC2×#418D43
hypocenterC43C22×#418
LCSG ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#418

7214 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, 1033088);