Finite Group Databasebeta

D23×#424 #15681953

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD23×#424

Splittings

FittingC23×#424 ⋊ C2
SylowC23 ⋊ C2×#424

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D23
commutator, socleC22×C23C23×C4
FittingC23×#424C2
prime radicalC23×D23C2×C4
cosocleC2×C4×C23C24
hypercenter#424D23
hypocenterC23C2×#424
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C2×C4 ◁ #424

512 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 736

Conjugacy classes & character table

364 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 13066);