Finite Group Databasebeta

C4×#41×D19 #14576812

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

Aliases

direct productC4×#41×D19

Splittings

FittingC4×#41×C19 ⋊ C2
SylowC19 ⋊ C2×C4×#41

Subgroups

subgroupG/H
centerC42C22×D19
commutatorC2×C19C24×C4
FrattiniC22C24×D19
FittingC4×#41×C19C2
socle, cosocleC22×C19C25
prime radicalC2×#41×D19C2
hypercenterC4×#41D19
hypocenterC19C2×C4×#41
LCSG ▷ C2×C19 ▷ C19
UCSC1 ◁ C42 ◁ C4×#41

1728 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, 17687);