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character table of 2O

linear representation theory of binary octahedral group 2O2 O

\,

group order: |2O|=48{\vert 2O\vert} = 48

conjugacy classes:1-1iiacefg
their cardinality:116886612

character table over the complex numbers \mathbb{C}

irrep1-1iiacefg
ρ 1\rho_111111111
ρ 2\rho_211111-1-1-1
ρ 3\rho_3222-1-1000
ρ 4\rho_433-10011-1
ρ 5\rho_533-100-1-11
ρ 6\rho_62-201-12\sqrt{2}2-\sqrt{2}0
ρ 7\rho_72-201-12-\sqrt{2}2\sqrt{2}0
ρ 8\rho_84-40-11000

character table over the real numbers \mathbb{R}

irrep1-1iiacefg
ρ 1\rho_111111111
ρ 2\rho_211111-1-1-1
ρ 3\rho_3222-1-1000
ρ 4\rho_433-10011-1
ρ 5\rho_533-100-1-11
ρ 6ρ 6\rho_6 \oplus \rho_64-402-2222 \sqrt{2}22-2 \sqrt{2}0
ρ 7ρ 7\rho_7 \oplus \rho_74-402-222-2 \sqrt{2}222 \sqrt{2}0
ρ 8ρ 8\rho_8 \oplus \rho_88-80-22000

References

Last revised on October 8, 2018 at 06:22:17. See the history of this page for a list of all contributions to it.