Finite Group Databasebeta

C16×Dic254 #30640633

order16256
automorphism?
homologyAbelianization (H1) = C22×C16 · Schur multiplier (H2) = C22

Aliases

direct productC16×Dic254

Splittings

SylowC127 ⋊ Q8×C16

Subgroups

subgroupG/H
centerC2×C16C2×D127
commutatorC2×C127C22×C16
FrattiniC2×C8C22×D127
FittingC4×C16×C127C2
socle, prime radicalC22×C127C22×C8
cosocleC2×C8×C127C23
hypercenterC4×C16D127
hypocenterC127Q8×C16
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C2×C16 ◁ C4×C16

134 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, 6413);