Finite Group Databasebeta

C23×D1016 #30653446

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C210

Aliases

direct productC23×D1016

Splittings

FittingC23×C8×C127 ⋊ C2
SylowC127 ⋊ C23×D8

Subgroups

subgroupG/H
centerC24D508
commutator, cosocleC4×C127C25
FrattiniC4C24×D127
FittingC23×C8×C127C2
socleC24×C127D4
hypercenterC23×C8D127
hypocenterC127C23×D8
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×C8

1976 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4088 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 19226);