Finite Group Databasebeta

D23×#473 #15683106

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

Aliases

direct productD23×#473

Splittings

FittingC23×#473 ⋊ C2
SylowC23 ⋊ C2×#473

Subgroups

subgroupG/H
centerC2#121×D23
commutator, cosocleC2×C4×C23C24
FrattiniC2×C4C23×D23
FittingC23×#473C2
socleC2×C23C2×#121
prime radical#41×D23C22
hypercenter#473D23
hypocenterC23C2×#473
LCSG ▷ C2×C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C2 ◁ C2×C4 ◁ #473

448 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

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, 14219);