Finite Group Databasebeta

D4×Q8×D127 #30652200

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C29

Aliases

direct productD4×Q8×D127

Splittings

FittingD4×Q8×C127 ⋊ C2
SylowC127 ⋊ C2×D4×Q8

Subgroups

subgroupG/H
center, FrattiniC22C24×D127
commutator, socle, cosocleC22×C127C25
FittingD4×Q8×C127C2
prime radicalC2×D4×D127C22
hypercenterD4×Q8D127
hypocenterC127C2×D4×Q8
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C22 ◁ D4×Q8

1568 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1625 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17980);