Finite Group Databasebeta

← Group #13213

Character table — Group #13213

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order12222244444444888888884488881616161616161616161616161616161622228888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111-1-1-1-1111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111-1-1-1-1111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111111-1-1-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i
χ101111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii
χ111111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ121111-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ131111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ141111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ151111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ1722222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ182222222-2-2-2-22222222-2-2-2-2-2-2-2-222000000000000000000000000
χ19222222-222-2-2-2-2-2000000002-20000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000
χ20222222-222-2-2-2-2-2000000002-20000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000
χ21222222-2-2-222-2-2-200000000-220000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200000000
χ22222222-2-2-222-2-2-200000000-220000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200000000
χ232222-2-2222-2-2-2-2200000000-22000022−2−2−2−22222−2−2−2−22200000000
χ242222-2-2222-2-2-2-2200000000-220000−2−22222−2−2−2−22222−2−200000000
χ252222-2-22-2-222-2-22000000002-2000022−2−2−2−222−2−22222−2−200000000
χ262222-2-22-2-222-2-22000000002-20000−2−22222−2−222−2−2−2−22200000000
χ272222-2-2-2222222-222222222-2-2-2-2-2-2000000000000000000000000
χ282222-2-2-2-2-2-2-222-2-2-2-2-2222222-2-222000000000000000000000000
χ2922-2-22-2200002-2-2000022-2-2002-200000000002i−2i2i−2i2i−2i2i−2i00000000
χ3022-2-22-2200002-2-2000022-2-2002-20000000000−2i2i−2i2i−2i2i−2i2i00000000
χ3122-2-22-2200002-2-20000-2-22200-22002i−2i2i−2i2i−2i2i−2i0000000000000000
χ3222-2-22-2200002-2-20000-2-22200-2200−2i2i−2i2i−2i2i−2i2i0000000000000000
χ3322-2-22-2-20000-22222-2-2000000002-22−2−222−2−222−2−222−2−2200000000
χ3422-2-22-2-20000-22222-2-2000000002-2−222−2−222−2−222−2−222−200000000
χ3522-2-22-2-20000-222-2-22200000000-222−2−222−2−22−222−2−222−200000000
χ3622-2-22-2-20000-222-2-22200000000-22−222−2−222−22−2−222−2−2200000000
χ3722-2-2-2220000-22-222-2-200000000-22i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ3822-2-2-2220000-22-222-2-200000000-22−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ3922-2-2-2220000-22-2-2-222000000002-2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ4022-2-2-2220000-22-2-2-222000000002-2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ4122-2-2-22-200002-22000022-2-200-22002-22-2-22-220000000000000000
χ4222-2-2-22-200002-22000022-2-200-2200-22-222-22-20000000000000000
χ4322-2-2-22-200002-220000-2-222002-200000000002-22-2-22-2200000000
χ4422-2-2-22-200002-220000-2-222002-20000000000-22-222-22-200000000
χ454-44-4000004-400022−2222−2222−2222−22000000000000000000000000000000
χ464-44-4000004-4000−2222−2222−2222−2222000000000000000000000000000000
χ474-44-400000-4400022−2222−22−2222−2222000000000000000000000000000000
χ484-44-400000-44000−2222−222222−2222−22000000000000000000000000000000
χ494-4-440004-40000022−22−222222−22−2222000000000000000000000000000000
χ504-4-440004-400000−222222−22−222222−22000000000000000000000000000000
χ514-4-44000-440000022−22−2222−222222−22000000000000000000000000000000
χ524-4-44000-4400000−222222−2222−22−2222000000000000000000000000000000

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