Finite Group Databasebeta

D43×#1746 #25094064

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4

Aliases

direct productD43×#1746

Splittings

FittingC43×#1746 ⋊ C2
SylowC43 ⋊ C2×#1746

Subgroups

subgroupG/H
center, FrattiniC22×C4C23×D43
commutatorC22×C43C22×C42
FittingC43×#1746C2
socleC23×C43C23×C4
prime radicalC23×D43C22×C4
cosocleC22×C4×C43C24
hypercenter#1746D43
hypocenterC43C2×#1746
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ #1746

1134 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, 167035);