Finite Group Databasebeta

← Prev (#30647134) Next (#30647136) →

C4×M16×D127 #30647135

order16256
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4

Aliases

direct productC4×M16×D127

Splittings

FittingC4×M16×C127 ⋊ C2
SylowC127 ⋊ C2×C4×M16

Subgroups

subgroupG/H
centerC42C22×D127
commutatorC2×C127C22×C42
FrattiniC2×C4C23×D127
FittingC4×M16×C127C2
socleC22×C127C23×C4
prime radicalC23×D127C2×C4
cosocleC2×C4×C127C24
hypercenterC4×M16D127
hypocenterC127C2×C4×M16
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C42 ◁ C4×M16

656 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2600 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 12915);