Finite Group Databasebeta

#339×D127 #30638434

order16256
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C24

Aliases

direct product#339×D127

Splittings

Fitting#339×C127 ⋊ C2
SylowC127 ⋊ C2×#339

Subgroups

subgroupG/H
centerC2×C4D4×D127
commutatorC4×C127C2×C42
FrattiniC22×C4C22×D127
Fitting#339×C127C2
socleC22×C127C2×C22⋊C4
prime radicalC23×D127D4
cosocleC22×C4×C127C23
hypercenter#339D127
hypocenterC127C2×#339
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ #339

488 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 4214);