Finite Group Databasebeta

D23×#485 #15683285

order2944
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productD23×#485

Splittings

FittingC23×#485 ⋊ C2
SylowC23 ⋊ C2×#485

Subgroups

subgroupG/H
centerC22C2×D4×D23
commutator, cosocleC2×C4×C23C24
FrattiniC2×C4C23×D23
FittingC23×#485C2
socleC22×C23C22×D4
prime radicalC23×D23D4
hypercenter#485D23
hypocenterC23C2×#485
LCSG ▷ C2×C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C22 ◁ C22×C4 ◁ #485

416 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

Conjugacy classes & character table

247 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 14398);