Finite Group Databasebeta

#518×D127 #30651913

order16256
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#518×D127

Splittings

Fitting#518×C127 ⋊ C2
SylowC127 ⋊ C2×#518

Subgroups

subgroupG/H
center, FrattiniC22C24×D127
commutatorC2×C127C24×C4
Fitting#518×C127C2
socle, cosocleC22×C127C25
prime radicalC22×D4×D127C2
hypercenter#518D127
hypocenterC127C2×#518
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C22 ◁ #518

1920 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2210 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17693);