Finite Group Databasebeta

#482×D127 #30648610

order16256
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C23×C4

Aliases

direct product#482×D127

Splittings

Fitting#482×C127 ⋊ C2
SylowC127 ⋊ C2×#482

Subgroups

subgroupG/H
centerC22C2×D4×D127
commutator, cosocleC2×C4×C127C24
FrattiniC2×C4C23×D127
Fitting#482×C127C2
socleC22×C127C22×D4
prime radical#121×D127C2
hypercenter#482D127
hypocenterC127C2×#482
LCSG ▷ C2×C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C22 ◁ C22×C4 ◁ #482

468 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1235 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 14390);