Finite Group Databasebeta

← Group #487725

Character table — Group #487725

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222222244442244444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-11-11-11-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111-1-1-1-11111-1-1-1-1111-11-11-11-11-1-1-1-1-1-1-1-111
χ411111111111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111-1-11111-1-1-1-1-1-111-1-111-11111-11-11-1-1-1-11111-1-1
χ61111111111111-1-11111-1-1-1-1-1-111-1-111-11-11-1-1-1-1-11111-1-1-1-111
χ71111111111111-1-111-1-111-1-1-1-1-1-11111-1-11-1111111111-1-1-1-1-1-1
χ81111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1111111
χ91111-1-111-11-1-1111-1-1111111-1-1-1-1-1-111-1-111-111-1-111-1-111-1-11-1
χ101111-1-111-11-1-1111-1-1111111-1-1-1-1-1-111-1-1-1111-1-11-1-111-1-111-11
χ111111-1-111-11-1-1111-1-1-1-1-1-111-1-1111111-111-1-1-111-1-1-111-1-1111-1
χ121111-1-111-11-1-1111-1-1-1-1-1-111-1-1111111-11-1-11-1-11111-1-111-1-1-11
χ131111-1-111-11-1-11-1-1-1-111-1-1-1-111-1-111111-111-1-111-1-1-11111-1-1-11
χ141111-1-111-11-1-11-1-1-1-111-1-1-1-111-1-111111-1-111-1-11111-1-1-1-1111-1
χ151111-1-111-11-1-11-1-1-1-1-1-111-1-11111-1-111111-1-111-1-111-1-1-1-111-11
χ161111-1-111-11-1-11-1-1-1-1-1-111-1-11111-1-11111-1-111-1-11-1-11111-1-11-1
χ172222222222-2-22002-2002200000022-2-200000-20-200000000000
χ182222222222-2-22002-200-2-2000000-2-2-2-20000020200000000000
χ19222222222-222-200-2-22200000022002-20-20-2000000000000000
χ20222222222-222-200-2-2-2-2000000-2-2002-20202000000000000000
χ21222222222-2-2-2-222-220000-2-2-2-20000-222000000000000000000
χ22222222222-2-2-2-2-2-2-22000022220000-22-2000000000000000000
χ232222-2-222-2222200-220022000000-2-2-2-200000-20200000000000
χ242222-2-222-2222200-2200-2-200000022-2-20000020-200000000000
χ252222-2-222-2-222-2222-20000-2-2220000-22-2000000000000000000
χ262222-2-222-2-222-2-2-22-2000022-2-20000-222000000000000000000
χ272222-2-222-2-2-2-2-2002222000000-2-2002-2020-2000000000000000
χ282222-2-222-2-2-2-2-20022-2-200000022002-20-202000000000000000
χ29444444-4-4-40000000000000000000000002020-20-20000000000
χ30444444-4-4-4000000000000000000000000-20-202020000000000
χ314444-4-4-4-4400000000000000000000000020-20-2020000000000
χ324444-4-4-4-44000000000000000000000000-202020-20000000000
χ3344-4-44-4000000000002i−2i2-22i−2i2i−2i2i−2i2-2000000000000000000000
χ3444-4-44-4000000000002i−2i-22−2i2i−2i2i2i−2i-22000000000000000000000
χ3544-4-44-400000000000−2i2i2-2−2i2i−2i2i−2i2i2-2000000000000000000000
χ3644-4-44-400000000000−2i2i-222i−2i2i−2i−2i2i-22000000000000000000000
χ3744-4-4-44000000000002i−2i2-22i−2i−2i2i−2i2i-22000000000000000000000
χ3844-4-4-44000000000002i−2i-22−2i2i2i−2i−2i2i2-2000000000000000000000
χ3944-4-4-4400000000000−2i2i2-2−2i2i2i−2i2i−2i-22000000000000000000000
χ4044-4-4-4400000000000−2i2i-222i−2i−2i2i2i−2i2-2000000000000000000000
χ414-44-4004-4004i−4i00000000000000000000000000002-22i−2i000000
χ424-44-4004-4004i−4i0000000000000000000000000000-22−2i2i000000
χ434-44-4004-400−4i4i00000000000000000000000000002-2−2i2i000000
χ444-44-4004-400−4i4i0000000000000000000000000000-222i−2i000000
χ454-44-400-440400-400000000000000000000000000000002i2−2i20000
χ464-44-400-440400-40000000000000000000000000000000−2i22i20000
χ474-44-400-440-400400000000000000000000000000000000022−2200
χ484-44-400-440-4004000000000000000000000000000000000−222200
χ498-8-880000000004-400000000000000000000000000000000000
χ508-8-88000000000-4400000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).