Finite Group Databasebeta

D43×#3172 #25966366

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

Aliases

direct productD43×#3172

Splittings

FittingC43×#3172 ⋊ C2
SylowC43 ⋊ C2×#3172

Subgroups

subgroupG/H
centerC2×C4C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC43×#3172C2
socleC22×C43C23×D4
prime radical#121×D43C22
hypercenter#3172D43
hypocenterC43C2×#3172
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #3172

1986 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1039337);