# nLab character table of GL(2,3)

linear representation theory of the finite general linear group GL(2,3)

$\,$

group order: ${\vert GL(2,3)\vert} = 48$

conjugacy classes:12A2B3468A8B
their cardinality:111286866

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

irrep12A2B3468A8B
$\rho_1$11111111
$\rho_2$11-1111-1-1
$\rho_3$220-12-100
$\rho_4$2-20-101$-\sqrt{-2}$$\sqrt{-2}$
$\rho_5$2-20-101$\sqrt{-2}$$-\sqrt{-2}$
$\rho_6$33-10-1011
$\rho_7$3310-10-1-1
$\rho_8$4-4010-100

character table over the rational numbers $\mathbb{Q}$ and real numbers $\mathbb{R}$

irrep12A2B3468A8B
$\rho_1$11111111
$\rho_2$11-1111-1-1
$\rho_3$220-12-100
$\rho_4 \oplus \rho_5$4-40-20200
$\rho_6$33-10-1011
$\rho_7$3310-10-1-1
$\rho_8$4-4010-100

References

Last revised on September 2, 2021 at 04:43:19. See the history of this page for a list of all contributions to it.