Finite Group Databasebeta

D43×#1985 #25101040

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct productD43×#1985

Splittings

FittingC43×#1985 ⋊ C2
SylowC43 ⋊ C2×#1985

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D43
commutator, socleC23×C43C23×C4
FittingC43×#1985C2
prime radicalC23×D43C22×C4
cosocleC22×C4×C43C24
hypercenter#1985D43
hypocenterC43C2×#1985
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1985

1438 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 174011);