Finite Group Databasebeta

D23×#476 #15683144

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

Aliases

direct productD23×#476

Splittings

FittingC23×#476 ⋊ C2
SylowC23 ⋊ C2×#476

Subgroups

subgroupG/H
centerC22C2×D4×D23
commutator, cosocleC2×C4×C23C24
FrattiniC2×C4C23×D23
FittingC23×#476C2
socleC22×C23C22×D4
prime radicalC2×D4×D23C22
hypercenter#476D23
hypocenterC23C2×#476
LCSG ▷ C2×C4×C23 ▷ C2×C23 ▷ C23
UCSC1 ◁ C22 ◁ C42 ◁ #476

480 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, 14257);