Finite Group Databasebeta

D43×#1450 #25062173

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

Aliases

direct productD43×#1450

Splittings

FittingC43×#1450 ⋊ C2
SylowC43 ⋊ C2×#1450

Subgroups

subgroupG/H
centerC4×C8C22×D43
commutatorC2×C43C22×C4×C8
FrattiniC42C23×D43
FittingC43×#1450C2
socleC22×C43C22×C42
prime radicalC23×D43C42
cosocleC42×C43C24
hypercenter#1450D43
hypocenterC43C2×#1450
LCSG ▷ C2×C43 ▷ C43
UCSC1 ◁ C4×C8 ◁ #1450

982 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, 135144);