Finite Group Databasebeta

D43×#2966 #25961041

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

Aliases

direct productD43×#2966

Splittings

FittingC43×#2966 ⋊ C2
SylowC43 ⋊ C2×#2966

Subgroups

subgroupG/H
centerC2×C8C23×D43
commutator, socleC22×C43C24×C4
FrattiniC2×C4C24×D43
FittingC43×#2966C2
prime radical#121×D43C4
cosocleC2×C4×C43C25
hypercenter#2966D43
hypocenterC43C2×#2966
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C2×C8 ◁ #2966

2070 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1288 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 1034012);