Finite Group Databasebeta

C23×Dic508 #30653453

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

Aliases

direct productC23×Dic508

Splittings

SylowC127 ⋊ C23×Q16

Subgroups

subgroupG/H
centerC24D508
commutator, cosocleC4×C127C25
FrattiniC4C24×D127
FittingC23×C8×C127C2
socle, prime radicalC24×C127D4
hypercenterC23×C8D127
hypocenterC127C23×Q16
LCSG ▷ C4×C127 ▷ C2×C127 ▷ C127
UCSC1 ◁ C24 ◁ C23×C4 ◁ C23×C8

1464 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4088 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 19233);