Finite Group Databasebeta

D23×#390 #15675850

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct productD23×#390

Splittings

FittingC23×#390 ⋊ C2
SylowC23 ⋊ C2×#390

Subgroups

subgroupG/H
center, FrattiniC23C23×D23
commutatorC22×C23C23×C4
FittingC23×#390C2
socle, cosocleC23×C23C24
prime radicalC22×D4×D23C2
hypercenter#390D23
hypocenterC23C2×#390
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C23 ◁ #390

1360 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, 6963);