Finite Group Databasebeta

#103×Dic127 #30638552

order16256
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic127

Splittings

SylowC127 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D127
commutatorC4×C127C2×C42
FrattiniC22×C4C22×D127
FittingC2×#103×C127C2
socle, prime radicalC23×C127C2×D4
cosocleC22×C4×C127C23
hypercenterC2×#103D127
hypocenterC127C4×#103
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 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, 4332);