Finite Group Databasebeta

D23×#376 #15675722

order2944
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct productD23×#376

Splittings

FittingC23×#376 ⋊ C2
SylowC23 ⋊ C2×#376

Subgroups

subgroupG/H
centerC22×C4C22×D23
commutatorC2×C23C22×C42
FrattiniC23C23×D23
FittingC23×#376C2
socle, cosocleC23×C23C24
prime radicalC23×D23C23
hypercenter#376D23
hypocenterC23C2×#376
LCSG ▷ C2×C23 ▷ C23
UCSC1 ◁ C22×C4 ◁ #376

840 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1472

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 6835);