Finite Group Databasebeta

D43×#2986 #25961556

order11008
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productD43×#2986

Splittings

FittingC43×#2986 ⋊ C2
SylowC43 ⋊ C2×#2986

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D43
commutator, socleC22×C43C24×C4
FittingC43×#2986C2
prime radicalC23×D43C22×C4
cosocleC2×C4×C43C25
hypercenter#2986D43
hypocenterC43C2×#2986
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C4 ◁ #2986

1794 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1034527);