Finite Group Databasebeta

← Group #485759

Character table — Group #485759

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222222224444224444444444444422444444444448888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111-1-11-1-1111-1-111-1-11111-111-1-11-11111-1-1-1-1
χ411111111111111111-1-11-1-1111-1-111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ51111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-11-11-1-1-1-111-1-1
χ61111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111111-1-111
χ71111111111111-1-1-1-1-1-11-1-11-1-111-1-11111111111-1-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-11-1-11-1-111-1-11111-1-11-1-11-1-1-1111111-1-1
χ91111-1-1111-1-1-11111111-1-1-1-1-1-111-1-1-1-1111-1-11-11-11111-1-11-11-1
χ101111-1-1111-1-1-11111111-1-1-1-1-1-111-1-1-1-111-11-1-111-111-1-111-11-11
χ111111-1-1111-1-1-111111-1-1-111-1-1-1-1-1-1-111111-111-1-111-111-1-1-11-11
χ121111-1-1111-1-1-111111-1-1-111-1-1-1-1-1-1-11111-111-11-111-1-1-1111-11-1
χ131111-1-1111-1-1-11-1-1-1-111-1-1-1-111-1-11111111-111-1-1-1-11-1-1111-1-11
χ141111-1-1111-1-1-11-1-1-1-111-1-1-1-111-1-1111111-111-11-1-1-1111-1-1-111-1
χ151111-1-1111-1-1-11-1-1-1-1-1-1-111-1111111-1-1111-1-11-111-1-1-1-111-111-1
χ161111-1-1111-1-1-11-1-1-1-1-1-1-111-1111111-1-111-11-1-1111-1-111-1-11-1-11
χ172222222222222222200-200-22200-2-200-2-20000000-2000000000
χ182222222222222-2-2-2-200-200-2-2-2002200-2-200000002000000000
χ1922222222-22-2-2-2000000-200200220022-2200-200-200000000000
χ2022222222-22-2-2-2000000-200200-2-200-2-2-2200200200000000000
χ2122222222-22-2-2-2000022222-2000000002-2000000-20-200000000
χ2222222222-22-2-2-20000-2-22-2-2-2000000002-200000020200000000
χ232222-2-2222-2-2-222222002002-2-2002200-2-20000000-2000000000
χ242222-2-2222-2-2-22-2-2-2-20020022200-2-200-2-200000002000000000
χ252222-2-222-2-222-2000000200-2002200-2-2-2200200-200000000000
χ262222-2-222-2-222-2000000200-200-2-20022-2200-200200000000000
χ272222-2-222-2-222-2000022-2-2-22000000002-200000020-200000000
χ282222-2-222-2-222-20000-2-2-2222000000002-2000000-20200000000
χ29444444-4-40-400000000000000000000000220-2-2000000000000
χ30444444-4-40-400000000000000000000000-2-2022000000000000
χ314444-4-4-4-404000000000000000000000002-20-22000000000000
χ324444-4-4-4-40400000000000000000000000-2202-2000000000000
χ3344-4-44-400000002i2i−2i−2i2-202-202i−2i2i−2i002i−2i0000000000000000000
χ3444-4-44-400000002i2i−2i−2i-220-2202i−2i−2i2i00−2i2i0000000000000000000
χ3544-4-44-40000000−2i−2i2i2i2-202-20−2i2i−2i2i00−2i2i0000000000000000000
χ3644-4-44-40000000−2i−2i2i2i-220-220−2i2i2i−2i002i−2i0000000000000000000
χ3744-4-4-4400000002i2i−2i−2i2-20-220−2i2i2i−2i00−2i2i0000000000000000000
χ3844-4-4-4400000002i2i−2i−2i-2202-20−2i2i−2i2i002i−2i0000000000000000000
χ3944-4-4-440000000−2i−2i2i2i2-20-2202i−2i−2i2i002i−2i0000000000000000000
χ4044-4-4-440000000−2i−2i2i2i-2202-202i−2i2i−2i00−2i2i0000000000000000000
χ414-44-4004-4004-40000000000000000000000000000002i−2i2i−2i0000
χ424-44-4004-4004-4000000000000000000000000000000−2i2i−2i2i0000
χ434-44-4004-400-440000000000000000000000000000002i−2i−2i2i0000
χ444-44-4004-400-44000000000000000000000000000000−2i2i2i−2i0000
χ454-44-400-444000-44i−4i4i−4i000000000000000000000000000000000
χ464-44-400-444000-4−4i4i−4i4i000000000000000000000000000000000
χ474-44-400-44-40004000000000000004-4000000000000000000000
χ484-44-400-44-4000400000000000000-44000000000000000000000
χ498-8-880000000004-4-44000000000000000000000000000000000
χ508-8-88000000000-444-4000000000000000000000000000000000

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