Finite Group Databasebeta

C2×C8×C22⋊D127 #30647401

order16256
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C26

Aliases

direct productC2×C8×C22⋊D127

Splittings

FittingC23×C8×C127 ⋊ C2
SylowC127 ⋊ C2×C8×D4

Subgroups

subgroupG/H
centerC22×C8C2×D127
commutatorC2×C127C23×C8
FrattiniC2×C4C23×D127
FittingC23×C8×C127C2
socleC23×C127C22×C4
prime radicalC22×C22⋊D127C4
cosocleC2×C4×C127C24
hypercenterC23×C8D127
hypocenterC127C2×C8×D4
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C22×C8 ◁ C23×C8

616 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, 13181);