Finite Group Databasebeta

D43×#1453 #25062213

order11008
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C8

Aliases

direct productD43×#1453

Splittings

FittingC43×#1453 ⋊ C2
SylowC43 ⋊ C2×#1453

Subgroups

subgroupG/H
center, FrattiniC42C23×D43
commutator, socleC22×C43C22×C42
FittingC43×#1453C2
prime radicalC23×D43C42
cosocleC42×C43C24
hypercenter#1453D43
hypocenterC43C2×#1453
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C42 ◁ #1453

866 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, 135184);