Finite Group Databasebeta

C2×#11757398 #14516570

order1944
automorphism?
homologyAbelianization (H1) = C2×C32 · Schur multiplier (H2) = C2×C3

Aliases

direct productC2×#11757398

Splittings

SylowC23 ⋊ #6880

Subgroups

subgroupG/H
centerC2×C3#66358
commutator, cosocleC22×C3×C9C2×C32
FrattiniC3×C9C2×C3×A4
FittingC23×C92C3
socleC23×C3#732
prime radicalC23×C32H(3,𝔽3)
hypercenterC2×C92A4
hypocenterC22C2×#6880
LCSG ▷ C22×C3×C9 ▷ C22×C32 ▷ C22×C3 ▷ C22
UCSC1 ◁ C2×C3 ◁ C2×C32 ◁ C2×C3×C9 ◁ C2×C92

176 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 54

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 964);