Finite Group Databasebeta

D43×#2264 #25254733

order11008
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD43×#2264

Splittings

FittingC43×#2264 ⋊ C2
SylowC43 ⋊ C2×#2264

Subgroups

subgroupG/H
centerC2C2×D16×D43
commutator, cosocleC16×C43C24
FrattiniC16C23×D43
FittingC43×#2264C2
socleC2×C43C22×D16
prime radical#508×D43C2
hypercenter#2264D43
hypocenterC43C2×#2264
LCSG ▷ C16×C43 ▷ C8×C43 ▷ C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C2 ◁ C2×C4 ◁ C2×C8 ◁ C2×C16 ◁ #2264

462 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, 327704);