Finite Group Databasebeta

D43×#3241 #25968778

order11008
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct productD43×#3241

Splittings

FittingC43×#3241 ⋊ C2
SylowC43 ⋊ C2×#3241

Subgroups

subgroupG/H
centerC22C22×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3241C2
socleC22×C43C23×D4
prime radical#540×D43C2
hypercenter#3241D43
hypocenterC43C2×#3241
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ #117 ◁ #3241

1806 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1041749);