Finite Group Databasebeta

C4×C127⋊#95 #30636950

order16256
automorphism?
homologyAbelianization (H1) = C43 · Schur multiplier (H2) = C23×C42

Aliases

direct productC4×C127⋊#95

Splittings

SylowC127 ⋊ C4×#95

Subgroups

subgroupG/H
centerC23×C4C2×D127
commutatorC2×C127C43
FrattiniC24C22×D127
FittingC22×C42×C127C2
socle, prime radical, cosocleC24×C127C23
hypercenterC22×C42D127
hypocenterC127C4×#95
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C23×C4 ◁ C22×C42

752 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, 2730);