Finite Group Databasebeta

D23×#472 #15683100

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

Aliases

direct productD23×#472

Splittings

FittingC23×#472 ⋊ C2
SylowC23 ⋊ C2×#472

Subgroups

subgroupG/H
centerC2#121×D23
commutator, cosocleC2×C4×C23C24
FrattiniC2×C4C23×D23
FittingC23×#472C2
socleC2×C23C2×#121
hypercenter#472D23
hypocenterC23C2×#472
LCSG ▷ C2×C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C2 ◁ C2×C4 ◁ #472

488 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, 14213);