Finite Group Databasebeta

D23×#380 #15675766

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C27

Aliases

direct productD23×#380

Splittings

FittingC23×#380 ⋊ C2
SylowC23 ⋊ C2×#380

Subgroups

subgroupG/H
center, FrattiniC23C23×D23
commutatorC22×C23C23×C4
FittingC23×#380C2
socle, cosocleC23×C23C24
prime radicalC24×D23C22
hypercenter#380D23
hypocenterC23C2×#380
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C23 ◁ #380

1232 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, 6879);