Finite Group Databasebeta

C2×#11927184 #14577080

order2432
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC2×#11927184

Splittings

FittingC22×C22⋊C4×C19 ⋊ C2
SylowC19 ⋊ C2×#546

Subgroups

subgroupG/H
centerC23C23×D19
commutator, cosocleC22×C19C25
FrattiniC22C24×D19
FittingC22×C22⋊C4×C19C2
socleC23×C19C24
hypercenterC22×C22⋊C4D19
hypocenterC19C2×#546
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C23 ◁ C22×C22⋊C4

1900 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

410 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 17955);