Finite Group Databasebeta

D23×#386 #15675811

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct productD23×#386

Splittings

FittingC23×#386 ⋊ C2
SylowC23 ⋊ C2×#386

Subgroups

subgroupG/H
center, FrattiniC23C23×D23
commutatorC22×C23C23×C4
FittingC23×#386C2
socle, cosocleC23×C23C24
prime radicalC22×D4×D23C2
hypercenter#386D23
hypocenterC23C2×#386
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C23 ◁ #386

1576 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, 6924);