Finite Group Databasebeta

C2×C43⋊#1308 #24986998

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct productC2×C43⋊#1308
unambiguous semidirect product(C2×C43)⋊#1308

Splittings

SylowC43 ⋊ C2×#1308

Subgroups

subgroupG/H
centerC23C43⋊#95
commutatorC23×C43C2×C42
FrattiniC2×C42C22×D43
FittingC2×C43×#432C2
socleC23×C43#95
prime radicalC24×C43C42
cosocleC2×C42×C43C23
hypercenterC2×#432D43
hypocenterC43C2×#1308
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C22×C42 ◁ C2×#432

526 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1228 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 59969);