Finite Group Databasebeta

#479×D127 #30648503

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

Aliases

direct product#479×D127

Splittings

Fitting#479×C127 ⋊ C2
SylowC127 ⋊ C2×#479

Subgroups

subgroupG/H
centerC22C2×D4×D127
commutator, cosocleC2×C4×C127C24
FrattiniC2×C4C23×D127
Fitting#479×C127C2
socleC22×C127C22×D4
prime radicalC22×D127C2×D4
hypercenter#479D127
hypocenterC127C2×#479
LCSG ▷ C2×C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C22 ◁ C42 ◁ #479

384 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, 14283);