Finite Group Databasebeta

#471×D151 #34078805

order19328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct product#471×D151

Splittings

Fitting#471×C151 ⋊ C2
SylowC151 ⋊ C2×#471

Subgroups

subgroupG/H
centerC2#121×D151
commutator, cosocleC2×C4×C151C24
FrattiniC2×C4C23×D151
Fitting#471×C151C2
socleC2×C151C2×#121
prime radicalAGL(1,ℤ/8)×D151C2
hypercenter#471D151
hypocenterC151C2×#471
LCSG ▷ C2×C4×C151 ▷ C2×C151 ▷ C151
UCSC1 ◁ C2 ◁ C2×C4 ◁ #471

468 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2416

Conjugacy classes & character table

1232 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19328, 14205);