Finite Group Databasebeta

D23×#387 #15675817

order2944
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4

Aliases

direct productD23×#387

Splittings

FittingC23×#387 ⋊ C2
SylowC23 ⋊ C2×#387

Subgroups

subgroupG/H
center, FrattiniC23C23×D23
commutatorC22×C23C23×C4
FittingC23×#387C2
socle, cosocleC23×C23C24
prime radicalC23×D23C23
hypercenter#387D23
hypocenterC23C2×#387
LCSG ▷ C22×C23 ▷ C23
UCSC1 ◁ C23 ◁ #387

712 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

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, 6930);