Finite Group Databasebeta

C2×#22549723 #30641059

order16256
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4

Aliases

direct productC2×#22549723

Splittings

FittingC2×#95×C127 ⋊ C2
SylowC127 ⋊ C2×C4×C22⋊C4

Subgroups

subgroupG/H
centerC24C22×D127
commutatorC2×C127C22×C42
FrattiniC23C23×D127
FittingC2×#95×C127C2
socleC24×C127C23
prime radicalC24×D127C22
cosocleC23×C127C24
hypercenterC2×#95D127
hypocenterC127C2×C4×C22⋊C4
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C24 ◁ C2×#95

1360 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, 6839);