Soluble groups
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Group: A4
Order = 12 = 22.3.
Mult = 2.
Out = 2.
Group: S4
Order = 24 = 23.3.
Mult = 2.
Out = 1.
S4: Length 13, 2-generator, 3-relator.
< x, y | x2 = y3 = (xy)4 = 1 >
Remark: This is the Coxeter group (2, 3, 4).
Realisation: x = (1,2), y = (2,3,4).
Group: M9 = 32:Q8 = U3(2)
Order = 72 = 23.32.
Mult = 3.
Out = S3.
Last updated 26th August, 1997
John N. Bray