Finite Group Databasebeta

D43×#1744 #25094056

order11008
automorphism?
homologyAbelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C24×C42

Aliases

direct productD43×#1744

Splittings

FittingC43×#1744 ⋊ C2
SylowC43 ⋊ C2×#1744

Subgroups

subgroupG/H
centerC2×C42C22×D43
commutatorC2×C43C22×C4×C8
FrattiniC22×C4C23×D43
FittingC43×#1744C2
socleC23×C43C23×C4
prime radicalC23×D43C22×C4
cosocleC22×C4×C43C24
hypercenter#1744D43
hypocenterC43C2×#1744
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C2×C42 ◁ #1744

1438 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1840 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 167027);