Finite Group Databasebeta

D19×#410 #14572089

order2432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct productD19×#410

Splittings

FittingC19×#410 ⋊ C2
SylowC19 ⋊ C2×#410

Subgroups

subgroupG/H
centerC4C22⋊C4×D19
commutatorC22×C19C23×C4
FrattiniC23C23×D19
FittingC19×#410C2
socleC2×C19C22×C22⋊C4
prime radicalC2×#41×D19C2
cosocleC23×C19C24
hypercenter#410D19
hypocenterC19C2×#410
LCSG ▷ C22×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C4 ◁ C22×C4 ◁ #410

788 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 304

Conjugacy classes & character table

242 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 12964);