Finite Group Databasebeta

C24×Dic254 #30653525

order16256
automorphism?
homologyAbelianization (H1) = C26 · Schur multiplier (H2) = C214

Aliases

direct productC24×Dic254

Splittings

SylowC127 ⋊ C24×Q8

Subgroups

subgroupG/H
centerC25C2×D127
commutator, cosocleC2×C127C26
FrattiniC2C25×D127
FittingC24×C4×C127C2
socle, prime radicalC25×C127C22
hypercenterC24×C4D127
hypocenterC127C24×Q8
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C25 ◁ C24×C4

6264 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4112 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 19305);