Finite Group Databasebeta

C2×#131×D19 #14578338

order2432
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct productC2×#131×D19

Splittings

FittingC2×C19×#131 ⋊ C2
SylowC19 ⋊ C22×#131

Subgroups

subgroupG/H
centerC2×C8C22×D19
commutatorC2×C19C24×C4
FrattiniC4C24×D19
FittingC2×C19×#131C2
socleC22×C19C23×C4
prime radicalC2×#41×D19C2
cosocleC4×C19C25
hypercenterC2×#131D19
hypocenterC19C22×#131
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C2×C8 ◁ C2×#131

1504 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 608

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 19213);