Finite Group Databasebeta

D43×#1390 #25011534

order11008
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct productD43×#1390

Splittings

FittingC43×#1390 ⋊ C2
SylowC43 ⋊ C2×#1390

Subgroups

subgroupG/H
centerC22#99×D43
commutatorC23×C43C2×C42
FrattiniC22×D4C22×D43
FittingC43×#1390C2
socleC22×C43C2×#99
prime radicalC22×D4×D43C22
cosocleC22×D4×C43C23
hypercenter#1390D43
hypocenterC43C2×#1390
LCSG ▷ C23×C43 ▷ C22×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22 ◁ C23 ◁ C22×D4 ◁ #1390

1202 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 84505);