Finite Group Databasebeta

C2×#11926516 #14572090

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

Aliases

direct productC2×#11926516

Splittings

FittingC2×C19×#99 ⋊ C2
SylowC19 ⋊ C2×#410

Subgroups

subgroupG/H
centerC22C22⋊C4×D19
commutatorC22×C19C23×C4
FrattiniC23C23×D19
FittingC2×C19×#99C2
socleC22×C19C2×C22⋊C4
prime radicalC22×#64543C2
cosocleC23×C19C24
hypercenterC2×#99D19
hypocenterC19C2×#410
LCSG ▷ C22×C19 ▷ C2×C19 ▷ C19
UCSC1 ◁ C22 ◁ C24 ◁ C2×#99

788 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

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, 12965);