Finite Group Databasebeta

← Prev (#30651889) Next (#30651891) →

C23×Dic127⋊C4 #30651890

order16256
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C210

Aliases

direct productC23×Dic127⋊C4

Splittings

SylowC127 ⋊ C23×C4⋊C4

Subgroups

subgroupG/H
centerC25C2×D127
commutatorC2×C127C24×C4
FrattiniC22C24×D127
FittingC24×C4×C127C2
socle, prime radicalC25×C127C22
cosocleC22×C127C25
hypercenterC24×C4D127
hypocenterC127C23×C4⋊C4
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C25 ◁ C24×C4

2488 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, 17670);