Finite Group Databasebeta

C2×#11757616 #14517672

order1944
isoclinismisoclinic class of #92312
automorphism?
homologyAbelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C2×C9

Aliases

direct productC2×#11757616

Splittings

derivedC92 ⋊ C2×C3×C4
Sylow#6898 ⋊ C2×C4

Subgroups

subgroupG/H
center, hypercenterC22#92312
commutator, hypocenterC92C2×C3×C4
FrattiniC2×C32C2×C3×C3⋊D3
FittingC22×#6898C2
socleC22×C32C3×C3⋊D3
prime radicalC22×C33C3⋊D3
cosocleC2×C92C22×C3
LCSG ▷ C92
UCSC1 ◁ C22

268 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 648

Conjugacy classes & character table

120 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 2066);