Finite Group Databasebeta

C23×#14523236 #30653449

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productC23×#14523236

Splittings

SylowC127 ⋊ C23×SD16

Subgroups

subgroupG/H
centerC24C22⋊D127
commutator, cosocleC4×C127C25
FrattiniC4C24×D127
Fitting, prime radicalC23×D4×C127C2
socleC24×C127D4
hypercenterC23×D4D127
hypocenterC127C23×SD16
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×D4

1720 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2576 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 19229);