Finite Group Databasebeta

D43×#1812 #25096235

order11008
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productD43×#1812

Splittings

FittingC43×#1812 ⋊ C2
SylowC43 ⋊ C2×#1812

Subgroups

subgroupG/H
centerC4#117×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC43×#1812C2
socleC2×C43C2×#380
prime radicalC2×#41×D43C22
cosocleC22×C4×C43C24
hypercenter#1812D43
hypocenterC43C2×#1812
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C4 ◁ C2×M16 ◁ #1812

1346 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(11008, 169206);