Finite Group Databasebeta

C2×#11757394 #14516566

order1944
automorphism?
homologyAbelianization (H1) = C2×C92 · Schur multiplier (H2) = C2×C3

Aliases

direct productC2×#11757394

Splittings

SylowC23 ⋊ #6864

Subgroups

subgroupG/H
centerC2×C3×C9C3×A4
commutatorC22×C3C2×C92
FrattiniC3×C9C2×C3×A4
FittingC23×C92C3
socle, prime radicalC23×C32C3×C9
cosocleC22×C3×C9C2×C32
hypercenterC2×C92A4
hypocenterC22C2×#6864
LCSG ▷ C22×C3 ▷ C22
UCSC1 ◁ C2×C3×C9 ◁ C2×C92

212 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 486

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(1944, 960);