Finite Group Databasebeta

← Group #131985

Character table — Group #131985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222244444444488888888888888881616161616161616161616161632323232
order12222222222222222224444444444444422244444444448888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ61111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ71111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii
χ81111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−i
χ9111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-11-111-1-111-1-11-11-1
χ10111111111-1-1-1-11111-1-111-1-11111-1-1-1-111-11-11-1-1-111-1-111-11-11
χ11111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-11-1111-1-111-1-1-11-11
χ12111111111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-11-11-1-111-1-1111-11-1
χ13111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-11-11ii−i−i−i−iiii−i−ii
χ14111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11-11-11−i−iiiii−i−i−iii−i
χ15111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-11-1ii−i−i−i−iii−iii−i
χ16111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-11-1−i−iiiii−i−ii−i−ii
χ172222222222222222222-2-2-2-200000000-2-2-20000000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2000000002220000000000000000
χ19222222222-2-2-2-22222-2-2-2-22200000000-2-220000000000000000
χ20222222222-2-2-2-2-2-2-2-222-2-2220000000022-20000000000000000
χ212222-2-222-200002-22-2002-200000022-2-22-20020-2000000000000
χ222222-2-222-200002-22-2002-2000000-2-2222-200-202000000000000
χ232222-2-222-200002-22-200-220022-2-20000-22020-20000000000000
χ242222-2-222-200002-22-200-2200-2-2220000-220-2020000000000000
χ252222-2-222-20000-22-22002-200000022-2-2-2200-202000000000000
χ262222-2-222-20000-22-22002-2000000-2-222-220020-2000000000000
χ272222-2-222-20000-22-2200-220022-2-200002-20-2020000000000000
χ282222-2-222-20000-22-2200-2200-2-22200002-2020-20000000000000
χ29444444-4-4-444-4-40000000000000000000000000000000000000
χ30444444-4-4-4-4-4440000000000000000000000000000000000000
χ314444-4-4-4-440000000000004-4000000000000000000000000000
χ324444-4-4-4-44000000000000-44000000000000000000000000000
χ3344-4-4004-400000040-40000000000000000000002i−2i002i−2i000000
χ3444-4-4004-400000040-4000000000000000000000−2i2i00−2i2i000000
χ3544-4-4004-4000000-4040000000000000000000002-200-22000000
χ3644-4-4004-4000000-404000000000000000000000-22002-2000000
χ3744-4-400-440000040-40000000000000000000000002i−2i002i−2i0000
χ3844-4-400-440000040-4000000000000000000000000−2i2i00−2i2i0000
χ3944-4-400-4400000-4040000000000000000000000002-200-220000
χ4044-4-400-4400000-404000000000000000000000000-22002-20000
χ414-4-444-4000004-400000000002-22-22-22-20000000000000000000
χ424-4-444-4000004-40000000000-22-22-22-220000000000000000000
χ434-4-444-400000-4400000000002-22-2-22-220000000000000000000
χ444-4-444-400000-440000000000-22-222-22-20000000000000000000
χ454-4-44-440004-40000000000002-2-222-2-220000000000000000000
χ464-4-44-440004-4000000000000-222-2-222-20000000000000000000
χ474-4-44-44000-440000000000002-2-22-222-20000000000000000000
χ484-4-44-44000-44000000000000-222-22-2-220000000000000000000
χ498-88-800000000000004-40000000000000000000000000000000
χ508-88-80000000000000-440000000000000000000000000000000

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