Finite Group Databasebeta

← Group #6437639

Character table — Group #6437639

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222222244442222444444888888882222224444448888442222222222224444222244444488888888222222444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-11111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1
χ911111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-11-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1111111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-11
χ1111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-111-1111111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-111-11
χ1211111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-11-111111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-11-1
χ1311111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-1111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-11
χ1411111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11
χ17222222222222-2-2-2-200002222-2-200000000000000-2-20000000000222222222222-2-2-2-200002222-2-200000000000000-2-20000000000
χ18222222222222-2-2-2-20000-2-2-2-2-2-200000000000000220000000000222222222222-2-2-2-20000-2-2-2-2-2-200000000000000220000000000
χ1922222222-2-2-2-2-2-2-2-2000022-2-22200000000000000-22000000000022222222-2-2-2-2-2-2-2-2000022-2-22200000000000000-220000000000
χ2022222222-2-2-2-2-2-2-2-20000-2-22222000000000000002-2000000000022222222-2-2-2-2-2-2-2-20000-2-22222000000000000002-20000000000
χ212222-2-2-2-222-2-2000000002i−2i2i−2i0022−2−222−2−2000000000000i2−i2i2−i2002222-2-2-2-222-2-2000000002i−2i2i−2i0022−2−222−2−2000000000000i2−i2i2−i200
χ222222-2-2-2-222-2-2000000002i−2i2i−2i00−2−222−2−222000000000000−i2i2−i2i2002222-2-2-2-222-2-2000000002i−2i2i−2i00−2−222−2−222000000000000−i2i2−i2i200
χ232222-2-2-2-222-2-200000000−2i2i−2i2i0022−2−222−2−2000000000000−i2i2−i2i2002222-2-2-2-222-2-200000000−2i2i−2i2i0022−2−222−2−2000000000000−i2i2−i2i200
χ242222-2-2-2-222-2-200000000−2i2i−2i2i00−2−222−2−222000000000000i2−i2i2−i2002222-2-2-2-222-2-200000000−2i2i−2i2i00−2−222−2−222000000000000i2−i2i2−i200
χ252222-2-2-2-2-2-222000000002i−2i−2i2i0022−2−2−2−222000000000000i2−i2−i2i2002222-2-2-2-2-2-222000000002i−2i−2i2i0022−2−2−2−222000000000000i2−i2−i2i200
χ262222-2-2-2-2-2-222000000002i−2i−2i2i00−2−22222−2−2000000000000−i2i2i2−i2002222-2-2-2-2-2-222000000002i−2i−2i2i00−2−22222−2−2000000000000−i2i2i2−i200
χ272222-2-2-2-2-2-22200000000−2i2i2i−2i0022−2−2−2−222000000000000−i2i2i2−i2002222-2-2-2-2-2-22200000000−2i2i2i−2i0022−2−2−2−222000000000000−i2i2i2−i200
χ282222-2-2-2-2-2-22200000000−2i2i2i−2i00−2−22222−2−2000000000000i2−i2−i2i2002222-2-2-2-2-2-22200000000−2i2i2i−2i00−2−22222−2−2000000000000i2−i2−i2i200
χ2922-2-22-2-222-22-222-2-2000000002-200000000000000002i−2i2i−2i00000022-2-22-2-222-22-222-2-2000000002-200000000000000002i−2i2i−2i000000
χ3022-2-22-2-222-22-222-2-2000000002-20000000000000000−2i2i−2i2i00000022-2-22-2-222-22-222-2-2000000002-20000000000000000−2i2i−2i2i000000
χ3122-2-22-2-222-22-2-2-22222-2-20000-22000000002-2000000000000000022-2-22-2-222-22-2-2-22222-2-20000-22000000002-20000000000000000
χ3222-2-22-2-222-22-2-2-222-2-2220000-2200000000-22000000000000000022-2-22-2-222-22-2-2-222-2-2220000-2200000000-220000000000000000
χ3322-2-22-2-22-22-2222-2-200000000-2200000000000000002i−2i−2i2i00000022-2-22-2-22-22-2222-2-200000000-2200000000000000002i−2i−2i2i000000
χ3422-2-22-2-22-22-2222-2-200000000-220000000000000000−2i2i2i−2i00000022-2-22-2-22-22-2222-2-200000000-220000000000000000−2i2i2i−2i000000
χ3522-2-22-2-22-22-22-2-22222-2-200002-200000000-22000000000000000022-2-22-2-22-22-22-2-22222-2-200002-200000000-220000000000000000
χ3622-2-22-2-22-22-22-2-222-2-22200002-2000000002-2000000000000000022-2-22-2-22-22-22-2-222-2-22200002-2000000002-20000000000000000
χ372-22-2-22-2200002-2-222-22-200000000002-22-200002-20000000000002-22-2-22-2200002-2-222-22-200000000002-22-200002-2000000000000
χ382-22-2-22-2200002-2-222-22-20000000000-22-220000-220000000000002-22-2-22-2200002-2-222-22-20000000000-22-220000-22000000000000
χ392-22-2-22-2200002-2-22-22-2200000000002-22-20000-220000000000002-22-2-22-2200002-2-22-22-2200000000002-22-20000-22000000000000
χ402-22-2-22-2200002-2-22-22-220000000000-22-2200002-20000000000002-22-2-22-2200002-2-22-22-220000000000-22-2200002-2000000000000
χ412-2-22-2-2220000-22-222-2-220000002-22-20000002-2000000000000002-2-22-2-2220000-22-222-2-220000002-22-20000002-200000000000000
χ422-2-22-2-2220000-22-222-2-22000000-22-22000000-22000000000000002-2-22-2-2220000-22-222-2-22000000-22-22000000-2200000000000000
χ432-2-22-2-2220000-22-22-222-20000002-22-2000000-22000000000000002-2-22-2-2220000-22-22-222-20000002-22-2000000-2200000000000000
χ442-2-22-2-2220000-22-22-222-2000000-22-220000002-2000000000000002-2-22-2-2220000-22-22-222-2000000-22-220000002-200000000000000
χ4544-4-4-444-44-4-44000000000000000000000000000000000000000044-4-4-444-44-4-440000000000000000000000000000000000000000
χ4644-4-4-444-4-444-4000000000000000000000000000000000000000044-4-4-444-4-444-40000000000000000000000000000000000000000
χ474-44-44-44-4000000000000000000000022−22−22220000000000000000004-44-44-44-4000000000000000000000022−22−2222000000000000000000
χ484-44-44-44-40000000000000000000000−222222−220000000000000000004-44-44-44-40000000000000000000000−222222−22000000000000000000
χ494-44-4-44-440000-444-40000000000000000000000000000000000004-44-4-44-440000-444-4000000000000000000000000000000000000
χ504-4-4444-4-400000000000000000022−22−222200000000000000000000004-4-4444-4-400000000000000000022−22−22220000000000000000000000
χ514-4-4444-4-4000000000000000000−222222−2200000000000000000000004-4-4444-4-4000000000000000000−222222−220000000000000000000000
χ524-4-44-4-44400004-44-40000000000000000000000000000000000004-4-44-4-44400004-44-4000000000000000000000000000000000000
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
χ5411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111
χ5511111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ5611111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-11111111111-1-1-1-1-1-1
χ571111111111111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111
χ581111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-111111111-1-1
χ591111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ601111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ6111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-11-1-111-1-111-11
χ6211111111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-11-1-11111-1-11-1
χ6311111111-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-111-1-1-11-1-111-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1111-111-1-111-1-11-1
χ6411111111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-111-11-1-11111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-11-111-1-1-1-111-11
χ6511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1111-1-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1111-1-1-1-1111-1
χ6611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1111-1-111-1-1-11
χ6711111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-11-1-1-11111-1-1-11
χ6811111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1111-1-111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-111-1-1111-1
χ69222222222222-2-2-2-200002222-2-200000000000000-2-20000000000-2-2-2-2-2-2-2-2-2-2-2-222220000-2-2-2-22200000000000000220000000000
χ70222222222222-2-2-2-20000-2-2-2-2-2-200000000000000220000000000-2-2-2-2-2-2-2-2-2-2-2-22222000022222200000000000000-2-20000000000
χ7122222222-2-2-2-2-2-2-2-2000022-2-22200000000000000-220000000000-2-2-2-2-2-2-2-2222222220000-2-222-2-2000000000000002-20000000000
χ7222222222-2-2-2-2-2-2-2-20000-2-22222000000000000002-20000000000-2-2-2-2-2-2-2-222222222000022-2-2-2-200000000000000-220000000000
χ732222-2-2-2-222-2-2000000002i−2i2i−2i0022−2−222−2−2000000000000i2−i2i2−i200-2-2-2-22222-2-22200000000−2i2i−2i2i00−2−222−2−222000000000000−i2i2−i2i200
χ742222-2-2-2-222-2-2000000002i−2i2i−2i00−2−222−2−222000000000000−i2i2−i2i200-2-2-2-22222-2-22200000000−2i2i−2i2i0022−2−222−2−2000000000000i2−i2i2−i200
χ752222-2-2-2-222-2-200000000−2i2i−2i2i0022−2−222−2−2000000000000−i2i2−i2i200-2-2-2-22222-2-222000000002i−2i2i−2i00−2−222−2−222000000000000i2−i2i2−i200
χ762222-2-2-2-222-2-200000000−2i2i−2i2i00−2−222−2−222000000000000i2−i2i2−i200-2-2-2-22222-2-222000000002i−2i2i−2i0022−2−222−2−2000000000000−i2i2−i2i200
χ772222-2-2-2-2-2-222000000002i−2i−2i2i0022−2−2−2−222000000000000i2−i2−i2i200-2-2-2-2222222-2-200000000−2i2i2i−2i00−2−22222−2−2000000000000−i2i2i2−i200
χ782222-2-2-2-2-2-222000000002i−2i−2i2i00−2−22222−2−2000000000000−i2i2i2−i200-2-2-2-2222222-2-200000000−2i2i2i−2i0022−2−2−2−222000000000000i2−i2−i2i200
χ792222-2-2-2-2-2-22200000000−2i2i2i−2i0022−2−2−2−222000000000000−i2i2i2−i200-2-2-2-2222222-2-2000000002i−2i−2i2i00−2−22222−2−2000000000000i2−i2−i2i200
χ802222-2-2-2-2-2-22200000000−2i2i2i−2i00−2−22222−2−2000000000000i2−i2−i2i200-2-2-2-2222222-2-2000000002i−2i−2i2i0022−2−2−2−222000000000000−i2i2i2−i200
χ8122-2-22-2-222-22-222-2-2000000002-200000000000000002i−2i2i−2i000000-2-222-222-2-22-22-2-22200000000-220000000000000000−2i2i−2i2i000000
χ8222-2-22-2-222-22-222-2-2000000002-20000000000000000−2i2i−2i2i000000-2-222-222-2-22-22-2-22200000000-2200000000000000002i−2i2i−2i000000
χ8322-2-22-2-222-22-2-2-22222-2-20000-22000000002-20000000000000000-2-222-222-2-22-2222-2-2-2-22200002-200000000-220000000000000000
χ8422-2-22-2-222-22-2-2-222-2-2220000-2200000000-220000000000000000-2-222-222-2-22-2222-2-222-2-200002-2000000002-20000000000000000
χ8522-2-22-2-22-22-2222-2-200000000-2200000000000000002i−2i−2i2i000000-2-222-222-22-22-2-2-222000000002-20000000000000000−2i2i2i−2i000000
χ8622-2-22-2-22-22-2222-2-200000000-220000000000000000−2i2i2i−2i000000-2-222-222-22-22-2-2-222000000002-200000000000000002i−2i−2i2i000000
χ8722-2-22-2-22-22-22-2-22222-2-200002-200000000-220000000000000000-2-222-222-22-22-222-2-2-2-2220000-22000000002-20000000000000000
χ8822-2-22-2-22-22-22-2-222-2-22200002-2000000002-20000000000000000-2-222-222-22-22-222-2-222-2-20000-2200000000-220000000000000000
χ892-22-2-22-2200002-2-222-22-200000000002-22-200002-2000000000000-22-222-22-20000-222-2-22-220000000000-22-220000-22000000000000
χ902-22-2-22-2200002-2-222-22-20000000000-22-220000-22000000000000-22-222-22-20000-222-2-22-2200000000002-22-200002-2000000000000
χ912-22-2-22-2200002-2-22-22-2200000000002-22-20000-22000000000000-22-222-22-20000-222-22-22-20000000000-22-2200002-2000000000000
χ922-22-2-22-2200002-2-22-22-220000000000-22-2200002-2000000000000-22-222-22-20000-222-22-22-200000000002-22-20000-22000000000000
χ932-2-22-2-2220000-22-222-2-220000002-22-20000002-200000000000000-222-222-2-200002-22-2-222-2000000-22-22000000-2200000000000000
χ942-2-22-2-2220000-22-222-2-22000000-22-22000000-2200000000000000-222-222-2-200002-22-2-222-20000002-22-20000002-200000000000000
χ952-2-22-2-2220000-22-22-222-20000002-22-2000000-2200000000000000-222-222-2-200002-22-22-2-22000000-22-220000002-200000000000000
χ962-2-22-2-2220000-22-22-222-2000000-22-220000002-200000000000000-222-222-2-200002-22-22-2-220000002-22-2000000-2200000000000000
χ9744-4-4-444-44-4-440000000000000000000000000000000000000000-4-4444-4-44-444-40000000000000000000000000000000000000000
χ9844-4-4-444-4-444-40000000000000000000000000000000000000000-4-4444-4-444-4-440000000000000000000000000000000000000000
χ994-44-44-44-4000000000000000000000022−22−2222000000000000000000-44-44-44-440000000000000000000000−222222−22000000000000000000
χ1004-44-44-44-40000000000000000000000−222222−22000000000000000000-44-44-44-44000000000000000000000022−22−2222000000000000000000
χ1014-44-4-44-440000-444-4000000000000000000000000000000000000-44-444-44-400004-4-44000000000000000000000000000000000000
χ1024-4-4444-4-400000000000000000022−22−22220000000000000000000000-444-4-4-444000000000000000000−222222−220000000000000000000000
χ1034-4-4444-4-4000000000000000000−222222−220000000000000000000000-444-4-4-44400000000000000000022−22−22220000000000000000000000
χ1044-4-44-4-44400004-44-4000000000000000000000000000000000000-444-444-4-40000-44-44000000000000000000000000000000000000

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