# nLab character table of 2I

linear representation theory of binary icosahedral group $2 I$

$\,$

group order: ${\vert 2I\vert} = 120$

conjugacy classes:12345A5B610A10B
their cardinality:1120301212201212

let $\phi \coloneqq \tfrac{1}{2}( 1 + \sqrt{5} )$ (the golden ratio)

character table over the complex numbers $\mathbb{C}$

irrep12345A5B610A10B
$\rho_1$111111111
$\rho_2$2-2-10$\phi - 1$$-\phi$1$\phi$$1 - \phi$
$\rho_3$2-2-10$-\phi$$\phi - 1$1$1-\phi$$\phi$
$\rho_4$330-1$1 - \phi$$\phi$0$\phi$$1-\phi$
$\rho_5$330-1$\phi$$1-\phi$0$1-\phi$$\phi$
$\rho_6$4410-1-11-1-1
$\rho_7$4-410-1-1-111
$\rho_8$55-1100-100
$\rho_9$6-600110-1-1

References

• Groupnames, SL(2,5)

• Bockland, Character tables and McKay quivers (pdf)

Last revised on October 9, 2018 at 05:16:58. See the history of this page for a list of all contributions to it.