Finite Group Databasebeta

D43×#1281 #24986223

order11008
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23×C4

Aliases

direct productD43×#1281

Splittings

FittingC43×#1281 ⋊ C2
SylowC43 ⋊ C2×#1281

Subgroups

subgroupG/H
centerC2×C4C22⋊C4×D43
commutatorC22×C43C2×C4×C8
FrattiniC2×C42C22×D43
FittingC43×#1281C2
socleC22×C43C2×#95
prime radicalC23×D43C42
cosocleC2×C42×C43C23
hypercenter#1281D43
hypocenterC43C2×#1281
LCSG ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1281

678 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, 59194);