Finite Group Databasebeta

Q64×D127 #30641033

order16256
automorphism?
homologyAbelianization (H1) = C23 · Schur multiplier (H2) = C22

Aliases

direct productQ64×D127

Splittings

FittingQ64×C127 ⋊ C2
SylowC127 ⋊ C2×Q64

Subgroups

subgroupG/H
centerC2D16×D127
commutator, cosocleC16×C127C23
FrattiniC16C22×D127
FittingQ64×C127C2
socleC2×C127C2×D16
prime radicalC2×D127D16
hypercenterQ64D127
hypocenterC127C2×Q64
LCSG ▷ C16×C127 ▷ C8×C127 ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C2 ◁ C4 ◁ C8 ◁ C16 ◁ Q64

104 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1235 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 6813);