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character table of GL(2,3)

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

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

conjugacy classes:12A2B3468A8B
their cardinality:111286866

character table over the complex numbers \mathbb{C}

irrep12A2B3468A8B
ρ 1\rho_111111111
ρ 2\rho_211-1111-1-1
ρ 3\rho_3220-12-100
ρ 4\rho_42-20-1012-\sqrt{-2}2\sqrt{-2}
ρ 5\rho_52-20-1012\sqrt{-2}2-\sqrt{-2}
ρ 6\rho_633-10-1011
ρ 7\rho_73310-10-1-1
ρ 8\rho_84-4010-100

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

irrep12A2B3468A8B
ρ 1\rho_111111111
ρ 2\rho_211-1111-1-1
ρ 3\rho_3220-12-100
ρ 4ρ 5\rho_4 \oplus \rho_54-40-20200
ρ 6\rho_633-10-1011
ρ 7\rho_73310-10-1-1
ρ 8\rho_84-4010-100

References

Last revised on October 8, 2018 at 06:21:24. See the history of this page for a list of all contributions to it.