Finite Group Databasebeta

#123×Dic19 #14566158

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

Aliases

direct product#123×Dic19

Splittings

SylowC19 ⋊ C4×#123

Subgroups

subgroupG/H
center, FrattiniC23C23×D19
commutatorC22×C19C23×C4
FittingC2×C19×#123C2
socle, cosocleC23×C19C24
prime radicalC22×D4×C19C22
hypercenterC2×#123D19
hypocenterC19C4×#123
LCSG ▷ C22×C19 ▷ C19
UCSC1 ◁ C23 ◁ C2×#123

688 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1216

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2432, 7033);