Finite Group Databasebeta

C2×#22549834 #30647145

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

Aliases

direct productC2×#22549834

Splittings

SylowC127 ⋊ C2×#405

Subgroups

subgroupG/H
centerC22×C4C22×D127
commutatorC2×C127C22×C42
FrattiniC2×C4C23×D127
FittingC22×M16×C127C2
socleC23×C127C22×C4
prime radicalC24×C127C2×C4
cosocleC2×C4×C127C24
hypercenterC22×M16D127
hypocenterC127C2×#405
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C22×C4 ◁ C22×M16

592 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, 12925);