Finite Group Databasebeta

D19×Q64 #14565938

order2432
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productD19×Q64

Splittings

FittingC19×Q64 ⋊ C2
SylowC19 ⋊ C2×Q64

Subgroups

subgroupG/H
centerC2D16×D19
commutator, cosocleC16×C19C23
FrattiniC16C22×D19
FittingC19×Q64C2
socleC2×C19C2×D16
prime radicalC2×D19D16
hypercenterQ64D19
hypocenterC19C2×Q64
LCSG ▷ C16×C19 ▷ C8×C19 ▷ C4×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ C16 ◁ Q64

104 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

209 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 6813);