Finite Group Databasebeta

C22×#16861120 #30647134

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

Aliases

direct productC22×#16861120

Splittings

SylowC127 ⋊ C22×#97

Subgroups

subgroupG/H
centerC23×C4C2×D127
commutatorC2×C127C22×C42
FrattiniC2×C4C23×D127
FittingC22×C42×C127C2
socle, prime radicalC24×C127C2×C4
cosocleC2×C4×C127C24
hypercenterC22×C42D127
hypocenterC127C22×#97
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C23×C4 ◁ C22×C42

680 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4112 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 12914);