Finite Group Databasebeta

← Group #6445823

Character table — Group #6445823

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888884444444444448888442222222244444444444444444488888888444444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111-1-111-1-111111111-111-111-1-1-1-111-1-1-1-1-1-111111111111111111111-1-111-1-111111111-111-111-1-1-1-111-1-1-1-1-1-1
χ411111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-111-1111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-111-11
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1-11-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1-11-1
χ1111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-1-11-111111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-1-11-1
χ1211111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-1-111-1111111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-1-111-11
χ1311111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1111-111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1111-1
χ1411111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-1-1111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-1-11
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-1-1-11
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-111-1-1-1-1111-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-111-1-1-1-1111-1
χ17222222222222-2-2-2-2000022-2-22200000000-200-200000000000000222222222222-2-2-2-2000022-2-22200000000-200-200000000000000
χ18222222222222-2-2-2-20000-2-2-2-2-2-200000000200200000000000000222222222222-2-2-2-20000-2-2-2-2-2-200000000200200000000000000
χ1922222222-2-2-2-2-2-2-2-200002222-2-200000000200-20000000000000022222222-2-2-2-2-2-2-2-200002222-2-200000000200-200000000000000
χ2022222222-2-2-2-2-2-2-2-20000-2-2222200000000-20020000000000000022222222-2-2-2-2-2-2-2-20000-2-2222200000000-200200000000000000
χ21222-22-2-2-2000022-2-222-2-200000022-2-2000000002-2000000000000222-22-2-2-2000022-2-222-2-200000022-2-2000000002-2000000000000
χ22222-22-2-2-2000022-2-222-2-2000000-2-22200000000-22000000000000222-22-2-2-2000022-2-222-2-2000000-2-22200000000-22000000000000
χ23222-22-2-2-2000022-2-2-2-22200000022-2-200000000-22000000000000222-22-2-2-2000022-2-2-2-22200000022-2-200000000-22000000000000
χ24222-22-2-2-2000022-2-2-2-222000000-2-222000000002-2000000000000222-22-2-2-2000022-2-2-2-222000000-2-222000000002-2000000000000
χ2522-2-2-22-222i2i−2i−2i000000002i−2i002-22−22−2i2i2−i2−i20000000000002−2i2−i20022-2-2-22-222i2i−2i−2i000000002i−2i002-22−22−2i2i2−i2−i20000000000002−2i2−i200
χ2622-2-2-22-222i2i−2i−2i000000002i−2i002-2−22−22−i2−i2i2i2000000000000−22−i2i20022-2-2-22-222i2i−2i−2i000000002i−2i002-2−22−22−i2−i2i2i2000000000000−22−i2i200
χ2722-2-2-22-222i2i−2i−2i00000000−2i2i00-222−22−2i2i2−i2−i2000000000000−22−i2i20022-2-2-22-222i2i−2i−2i00000000−2i2i00-222−22−2i2i2−i2−i2000000000000−22−i2i200
χ2822-2-2-22-222i2i−2i−2i00000000−2i2i00-22−22−22−i2−i2i2i20000000000002−2i2−i20022-2-2-22-222i2i−2i−2i00000000−2i2i00-22−22−22−i2−i2i2i20000000000002−2i2−i200
χ2922-2-2-22-22−2i−2i2i2i000000002i−2i00-222−22−2−i2−i2i2i2000000000000−22i2−i20022-2-2-22-22−2i−2i2i2i000000002i−2i00-222−22−2−i2−i2i2i2000000000000−22i2−i200
χ3022-2-2-22-22−2i−2i2i2i000000002i−2i00-22−22−22i2i2−i2−i20000000000002−2−i2i20022-2-2-22-22−2i−2i2i2i000000002i−2i00-22−22−22i2i2−i2−i20000000000002−2−i2i200
χ3122-2-2-22-22−2i−2i2i2i00000000−2i2i002-22−22−2−i2−i2i2i20000000000002−2−i2i20022-2-2-22-22−2i−2i2i2i00000000−2i2i002-22−22−2−i2−i2i2i20000000000002−2−i2i200
χ3222-2-2-22-22−2i−2i2i2i00000000−2i2i002-2−22−22i2i2−i2−i2000000000000−22i2−i20022-2-2-22-22−2i−2i2i2i00000000−2i2i002-2−22−22i2i2−i2−i2000000000000−22i2−i200
χ332-2-222-2-2200002-22-22i−2i2i−2i00000000002i−2i2i−2i00000000002-20000002-2-222-2-2200002-22-22i−2i2i−2i00000000002i−2i2i−2i00000000002-2000000
χ342-2-222-2-2200002-22-22i−2i2i−2i0000000000−2i2i−2i2i0000000000-220000002-2-222-2-2200002-22-22i−2i2i−2i0000000000−2i2i−2i2i0000000000-22000000
χ352-2-222-2-2200002-22-2−2i2i−2i2i00000000002i−2i2i−2i0000000000-220000002-2-222-2-2200002-22-2−2i2i−2i2i00000000002i−2i2i−2i0000000000-22000000
χ362-2-222-2-2200002-22-2−2i2i−2i2i0000000000−2i2i−2i2i00000000002-20000002-2-222-2-2200002-22-2−2i2i−2i2i0000000000−2i2i−2i2i00000000002-2000000
χ372-2-2-2222-22i−2i2i−2i2-2-222i−2i−2i2i002i−2i000000000002-20000000000000002-2-2-2222-22i−2i2i−2i2-2-222i−2i−2i2i002i−2i000000000002-2000000000000000
χ382-2-2-2222-22i−2i2i−2i2-2-22−2i2i2i−2i002i−2i00000000000-220000000000000002-2-2-2222-22i−2i2i−2i2-2-22−2i2i2i−2i002i−2i00000000000-22000000000000000
χ392-2-2-2222-22i−2i2i−2i-222-2000000−2i2i00000000000000002-22i−2i000000002-2-2-2222-22i−2i2i−2i-222-2000000−2i2i00000000000000002-22i−2i00000000
χ402-2-2-2222-22i−2i2i−2i-222-2000000−2i2i0000000000000000-22−2i2i000000002-2-2-2222-22i−2i2i−2i-222-2000000−2i2i0000000000000000-22−2i2i00000000
χ412-2-2-2222-2−2i2i−2i2i2-2-222i−2i−2i2i00−2i2i00000000000-220000000000000002-2-2-2222-2−2i2i−2i2i2-2-222i−2i−2i2i00−2i2i00000000000-22000000000000000
χ422-2-2-2222-2−2i2i−2i2i2-2-22−2i2i2i−2i00−2i2i000000000002-20000000000000002-2-2-2222-2−2i2i−2i2i2-2-22−2i2i2i−2i00−2i2i000000000002-2000000000000000
χ432-2-2-2222-2−2i2i−2i2i-222-20000002i−2i00000000000000002-2−2i2i000000002-2-2-2222-2−2i2i−2i2i-222-20000002i−2i00000000000000002-2−2i2i00000000
χ442-2-2-2222-2−2i2i−2i2i-222-20000002i−2i0000000000000000-222i−2i000000002-2-2-2222-2−2i2i−2i2i-222-20000002i−2i0000000000000000-222i−2i00000000
χ45444-44-4-4-40000-4-444000000000000000000000000000000000000444-44-4-4-40000-4-444000000000000000000000000000000000000
χ4644-44-4-44-400000000000000000022−22−2222000000000000000000000044-44-4-44-400000000000000000022−22−22220000000000000000000000
χ4744-44-4-44-4000000000000000000−222222−22000000000000000000000044-44-4-44-4000000000000000000−222222−220000000000000000000000
χ484-444-44-4-44-4-4400000000000000000000000000000000000000004-444-44-4-44-4-440000000000000000000000000000000000000000
χ494-444-44-4-4-444-400000000000000000000000000000000000000004-444-44-4-4-444-40000000000000000000000000000000000000000
χ504-44-4-4-444000000000000000000000022−22−22220000000000000000004-44-4-4-444000000000000000000000022−22−2222000000000000000000
χ514-44-4-4-4440000000000000000000000−222222−220000000000000000004-44-4-4-4440000000000000000000000−222222−22000000000000000000
χ524-4-444-4-440000-44-440000000000000000000000000000000000004-4-444-4-440000-44-44000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111111111
χ5511111111111111111111-1-111-1-111111111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11-1-11111-1-1111111
χ5611111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-1-1111111111-1-1-1-1-1-1
χ571111111111111111-1-1-1-1111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111111111-1-1-1-111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-1-11111-1-11111-1-1
χ591111111111111111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1
χ601111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ6111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-111-1-11111-1-11-1
χ6211111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11111-1-1-1-1-1-111-11
χ6311111111-1-1-1-111111111-1-1-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1111-1-1-1-11111-1-111-11
χ6411111111-1-1-1-111111111-1-1-1-111-1-1-1-111111-1-1-1-1-111-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-111111-1-111-1-111-1-11-1
χ6511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1111-1-111-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111111-1-1-111-1-111-1-111-1-1-11
χ6611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-11111111-1-1-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1111-1
χ6711111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-111111-1-1-1-1-1-1111-1
χ6811111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-1-1-11-1-111-1-11111-1-1-11
χ69222222222222-2-2-2-2000022-2-22200000000-200-200000000000000-2-2-2-2-2-2-2-2-2-2-2-222220000-2-222-2-200000000200200000000000000
χ70222222222222-2-2-2-20000-2-2-2-2-2-200000000200200000000000000-2-2-2-2-2-2-2-2-2-2-2-22222000022222200000000-200-200000000000000
χ7122222222-2-2-2-2-2-2-2-200002222-2-200000000200-200000000000000-2-2-2-2-2-2-2-2222222220000-2-2-2-22200000000-200200000000000000
χ7222222222-2-2-2-2-2-2-2-20000-2-2222200000000-200200000000000000-2-2-2-2-2-2-2-222222222000022-2-2-2-200000000200-200000000000000
χ73222-22-2-2-2000022-2-222-2-200000022-2-2000000002-2000000000000-2-2-22-22220000-2-222-2-222000000-2-22200000000-22000000000000
χ74222-22-2-2-2000022-2-222-2-2000000-2-22200000000-22000000000000-2-2-22-22220000-2-222-2-22200000022-2-2000000002-2000000000000
χ75222-22-2-2-2000022-2-2-2-22200000022-2-200000000-22000000000000-2-2-22-22220000-2-22222-2-2000000-2-222000000002-2000000000000
χ76222-22-2-2-2000022-2-2-2-222000000-2-222000000002-2000000000000-2-2-22-22220000-2-22222-2-200000022-2-200000000-22000000000000
χ7722-2-2-22-222i2i−2i−2i000000002i−2i002-22−22−2i2i2−i2−i20000000000002−2i2−i200-2-2222-22-2−2i−2i2i2i00000000−2i2i00-22−22−22−i2−i2i2i2000000000000−22−i2i200
χ7822-2-2-22-222i2i−2i−2i000000002i−2i002-2−22−22−i2−i2i2i2000000000000−22−i2i200-2-2222-22-2−2i−2i2i2i00000000−2i2i00-222−22−2i2i2−i2−i20000000000002−2i2−i200
χ7922-2-2-22-222i2i−2i−2i00000000−2i2i00-222−22−2i2i2−i2−i2000000000000−22−i2i200-2-2222-22-2−2i−2i2i2i000000002i−2i002-2−22−22−i2−i2i2i20000000000002−2i2−i200
χ8022-2-2-22-222i2i−2i−2i00000000−2i2i00-22−22−22−i2−i2i2i20000000000002−2i2−i200-2-2222-22-2−2i−2i2i2i000000002i−2i002-22−22−2i2i2−i2−i2000000000000−22−i2i200
χ8122-2-2-22-22−2i−2i2i2i000000002i−2i00-222−22−2−i2−i2i2i2000000000000−22i2−i200-2-2222-22-22i2i−2i−2i00000000−2i2i002-2−22−22i2i2−i2−i20000000000002−2−i2i200
χ8222-2-2-22-22−2i−2i2i2i000000002i−2i00-22−22−22i2i2−i2−i20000000000002−2−i2i200-2-2222-22-22i2i−2i−2i00000000−2i2i002-22−22−2−i2−i2i2i2000000000000−22i2−i200
χ8322-2-2-22-22−2i−2i2i2i00000000−2i2i002-22−22−2−i2−i2i2i20000000000002−2−i2i200-2-2222-22-22i2i−2i−2i000000002i−2i00-22−22−22i2i2−i2−i2000000000000−22i2−i200
χ8422-2-2-22-22−2i−2i2i2i00000000−2i2i002-2−22−22i2i2−i2−i2000000000000−22i2−i200-2-2222-22-22i2i−2i−2i000000002i−2i00-222−22−2−i2−i2i2i20000000000002−2−i2i200
χ852-2-222-2-2200002-22-22i−2i2i−2i00000000002i−2i2i−2i00000000002-2000000-222-2-222-20000-22-22−2i2i−2i2i0000000000−2i2i−2i2i0000000000-22000000
χ862-2-222-2-2200002-22-22i−2i2i−2i0000000000−2i2i−2i2i0000000000-22000000-222-2-222-20000-22-22−2i2i−2i2i00000000002i−2i2i−2i00000000002-2000000
χ872-2-222-2-2200002-22-2−2i2i−2i2i00000000002i−2i2i−2i0000000000-22000000-222-2-222-20000-22-222i−2i2i−2i0000000000−2i2i−2i2i00000000002-2000000
χ882-2-222-2-2200002-22-2−2i2i−2i2i0000000000−2i2i−2i2i00000000002-2000000-222-2-222-20000-22-222i−2i2i−2i00000000002i−2i2i−2i0000000000-22000000
χ892-2-2-2222-22i−2i2i−2i2-2-222i−2i−2i2i002i−2i000000000002-2000000000000000-2222-2-2-22−2i2i−2i2i-222-2−2i2i2i−2i00−2i2i00000000000-22000000000000000
χ902-2-2-2222-22i−2i2i−2i2-2-22−2i2i2i−2i002i−2i00000000000-22000000000000000-2222-2-2-22−2i2i−2i2i-222-22i−2i−2i2i00−2i2i000000000002-2000000000000000
χ912-2-2-2222-22i−2i2i−2i-222-2000000−2i2i00000000000000002-22i−2i00000000-2222-2-2-22−2i2i−2i2i2-2-220000002i−2i0000000000000000-22−2i2i00000000
χ922-2-2-2222-22i−2i2i−2i-222-2000000−2i2i0000000000000000-22−2i2i00000000-2222-2-2-22−2i2i−2i2i2-2-220000002i−2i00000000000000002-22i−2i00000000
χ932-2-2-2222-2−2i2i−2i2i2-2-222i−2i−2i2i00−2i2i00000000000-22000000000000000-2222-2-2-222i−2i2i−2i-222-2−2i2i2i−2i002i−2i000000000002-2000000000000000
χ942-2-2-2222-2−2i2i−2i2i2-2-22−2i2i2i−2i00−2i2i000000000002-2000000000000000-2222-2-2-222i−2i2i−2i-222-22i−2i−2i2i002i−2i00000000000-22000000000000000
χ952-2-2-2222-2−2i2i−2i2i-222-20000002i−2i00000000000000002-2−2i2i00000000-2222-2-2-222i−2i2i−2i2-2-22000000−2i2i0000000000000000-222i−2i00000000
χ962-2-2-2222-2−2i2i−2i2i-222-20000002i−2i0000000000000000-222i−2i00000000-2222-2-2-222i−2i2i−2i2-2-22000000−2i2i00000000000000002-2−2i2i00000000
χ97444-44-4-4-40000-4-444000000000000000000000000000000000000-4-4-44-4444000044-4-4000000000000000000000000000000000000
χ9844-44-4-44-400000000000000000022−22−22220000000000000000000000-4-44-444-44000000000000000000−222222−220000000000000000000000
χ9944-44-4-44-4000000000000000000−222222−220000000000000000000000-4-44-444-4400000000000000000022−22−22220000000000000000000000
χ1004-444-44-4-44-4-440000000000000000000000000000000000000000-44-4-44-444-444-40000000000000000000000000000000000000000
χ1014-444-44-4-4-444-40000000000000000000000000000000000000000-44-4-44-4444-4-440000000000000000000000000000000000000000
χ1024-44-4-4-444000000000000000000000022−22−2222000000000000000000-44-4444-4-40000000000000000000000−222222−22000000000000000000
χ1034-44-4-4-4440000000000000000000000−222222−22000000000000000000-44-4444-4-4000000000000000000000022−22−2222000000000000000000
χ1044-4-444-4-440000-44-44000000000000000000000000000000000000-444-4-444-400004-44-4000000000000000000000000000000000000

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