Finite Group Databasebeta

D23×#471 #15683092

order2944
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productD23×#471

Splittings

FittingC23×#471 ⋊ C2
SylowC23 ⋊ C2×#471

Subgroups

subgroupG/H
centerC2#121×D23
commutator, cosocleC2×C4×C23C24
FrattiniC2×C4C23×D23
FittingC23×#471C2
socleC2×C23C2×#121
prime radicalAGL(1,ℤ/8)×D23C2
hypercenter#471D23
hypocenterC23C2×#471
LCSG ▷ C2×C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C2 ◁ C2×C4 ◁ #471

468 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 368

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 14205);