Finite Group Databasebeta

← Group #6460039

Character table — Group #6460039

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222224444444488888888888888881616161611112222222222222244444444888888888888888816161616
order12222244448888888844448888224444448888888822442222224444888888884444888822444444888888882244
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-11-11-11-111-1-111-1-1-1-1-1-1111111111111111111111111111-11-11-11-111-1-111-1-1-1-1-1-1
χ311111111111111111111111111-11-11-11-11-1-111-1-111-1-1-1-111111111111111111111111111-11-11-11-11-1-111-1-111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111-1-1111-1111-1-1-1-1-1-1-1111-11-111111111111111-1-1-1-1-1-1-1-111-1-1111-1111-1-1-1-1-1-1-1111-11-1
χ611111111111111-1-1-1-1-1-1-1-111-1-11-1111-111-1-111-1-1-1-1-11-1111111111111111-1-1-1-1-1-1-1-111-1-11-1111-111-1-111-1-1-1-1-11-11
χ711111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-11-1-111-1-11111-11-1111111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-11-1-111-1-11111-11-11
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-11111111-1-11-11-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-11111111-1-11-11-1
χ91111111111-1-1-1-11111-1-1-1-1-1-11111-1111-11-1-1-1-111-1-1-111-11111111111-1-1-1-11111-1-1-1-1-1-11111-1111-11-1-1-1-111-1-1-111-1
χ101111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-11-1-1-1-1-11111111-1-111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-11-1-1-1-1-11111111-1-11
χ111111111111-1-1-1-11111-1-1-1-1-1-111-1111-111111-1-1-1-1-1-11-1-111111111111-1-1-1-11111-1-1-1-1-1-111-1111-111111-1-1-1-1-1-11-1-11
χ121111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-11-11111-1-111-111-11111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-11-11111-1-111-111-1
χ131111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11111-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11111-1-111-1-1
χ161111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111
χ172222-2-22-22-200002222000000-2-2020-20-2020000000000002222-2-22-22-200002222000000-2-2020-20-202000000000000
χ182222-2-22-22-200002222000000-2-20-202020-20000000000002222-2-22-22-200002222000000-2-20-202020-2000000000000
χ192222-2-22-22-20000-2-2-2-20000002202020-20-20000000000002222-2-22-22-20000-2-2-2-20000002202020-20-2000000000000
χ202222-2-22-22-20000-2-2-2-2000000220-20-202020000000000002222-2-22-22-20000-2-2-2-2000000220-20-20202000000000000
χ212222-2-2-22-22222200000000-2-20020-20-20200000000000002222-2-2-22-22222200000000-2-20020-20-2020000000000000
χ222222-2-2-22-22222200000000-2-200-202020-200000000000002222-2-2-22-22222200000000-2-200-202020-20000000000000
χ232222-2-2-22-22-2-2-2-20000000022002020-20-200000000000002222-2-2-22-22-2-2-2-20000000022002020-20-20000000000000
χ242222-2-2-22-22-2-2-2-2000000002200-20-2020200000000000002222-2-2-22-22-2-2-2-2000000002200-20-202020000000000000
χ252-22-22-22-2-2200002i2i−2i−2i0000002i−2i00000000002i−2i002-200002-22-22-22-2-2200002i2i−2i−2i0000002i−2i00000000002i−2i002-20000
χ262-22-22-22-2-2200002i2i−2i−2i0000002i−2i0000000000−2i2i00-2200002-22-22-22-2-2200002i2i−2i−2i0000002i−2i0000000000−2i2i00-220000
χ272-22-22-22-2-220000−2i−2i2i2i000000−2i2i00000000002i−2i00-2200002-22-22-22-2-220000−2i−2i2i2i000000−2i2i00000000002i−2i00-220000
χ282-22-22-22-2-220000−2i−2i2i2i000000−2i2i0000000000−2i2i002-200002-22-22-22-2-220000−2i−2i2i2i000000−2i2i0000000000−2i2i002-20000
χ292-22-22-2-222-22i2i−2i−2i000000002i−2i00000000002i−2i002-20000002-22-22-2-222-22i2i−2i−2i000000002i−2i00000000002i−2i002-2000000
χ302-22-22-2-222-22i2i−2i−2i000000002i−2i0000000000−2i2i00-220000002-22-22-2-222-22i2i−2i−2i000000002i−2i0000000000−2i2i00-22000000
χ312-22-22-2-222-2−2i−2i2i2i00000000−2i2i00000000002i−2i00-220000002-22-22-2-222-2−2i−2i2i2i00000000−2i2i00000000002i−2i00-22000000
χ322-22-22-2-222-2−2i−2i2i2i00000000−2i2i0000000000−2i2i002-20000002-22-22-2-222-2−2i−2i2i2i00000000−2i2i0000000000−2i2i002-2000000
χ332-22-2-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i−2i2i000000000000000000002-22-2-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i−2i2i00000000000000000000
χ342-22-2-2222-2-22i2i−2i−2i−2i−2i2i2i-2-222−2i2i2i−2i000000000000000000002-22-2-2222-2-22i2i−2i−2i−2i−2i2i2i-2-222−2i2i2i−2i00000000000000000000
χ352-22-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-2-2222i−2i−2i2i000000000000000000002-22-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-2-2222i−2i−2i2i00000000000000000000
χ362-22-2-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i2i−2i000000000000000000002-22-2-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i2i−2i00000000000000000000
χ37444444-4-4-4-4000000000000000000000000000000000000444444-4-4-4-4000000000000000000000000000000000000
χ3844-4-40000002i2−2i22i2−2i22i2−2i22i2−2i22-22-200000000000000000000000044-4-40000002i2−2i22i2−2i22i2−2i22i2−2i22-22-2000000000000000000000000
χ3944-4-40000002i2−2i22i2−2i2−2i22i2−2i22i2-22-2200000000000000000000000044-4-40000002i2−2i22i2−2i2−2i22i2−2i22i2-22-22000000000000000000000000
χ4044-4-4000000−2i22i2−2i22i22i2−2i22i2−2i2-22-2200000000000000000000000044-4-4000000−2i22i2−2i22i22i2−2i22i2−2i2-22-22000000000000000000000000
χ4144-4-4000000−2i22i2−2i22i2−2i22i2−2i22i22-22-200000000000000000000000044-4-4000000−2i22i2−2i22i2−2i22i2−2i22i22-22-2000000000000000000000000
χ424-44-4-44-4-4440000000000000000000000000000000000004-44-4-44-4-444000000000000000000000000000000000000
χ434-4-4400000022−22−222222−22−22222-2-220000000000000000000000004-4-4400000022−22−222222−22−22222-2-22000000000000000000000000
χ444-4-4400000022−22−2222−222222−22-222-20000000000000000000000004-4-4400000022−22−2222−222222−22-222-2000000000000000000000000
χ454-4-44000000−222222−2222−22−2222-222-20000000000000000000000004-4-44000000−222222−2222−22−2222-222-2000000000000000000000000
χ464-4-44000000−222222−22−222222−222-2-220000000000000000000000004-4-44000000−222222−22−222222−222-2-22000000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ48111111111111111111111111111-11-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-111-1-1111111
χ4911111111111111111111111111-11-11-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111-1-111-1-11111
χ5011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ5111111111111111-1-1-1-1-1-1-1-111-1-1111-1111-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11-1-1-11111111-1-1-11-11
χ5211111111111111-1-1-1-1-1-1-1-111-1-11-1111-111-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-11-1-1-11-1-111-1-111111-11-1
χ5311111111111111-1-1-1-1-1-1-1-111-1-1-11-1-1-11-1-111-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1111-111-1-111-1-1-1-11-11-1
χ5411111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-11111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111-1111-1-1-1-1-1-1-111-11-11
χ551111111111-1-1-1-11111-1-1-1-1-1-11111-1111-11-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1-1-11-11111-1-1111-1-11
χ561111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-11-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1111-111111-1-1-1-1-1-1-111-1
χ571111111111-1-1-1-11111-1-1-1-1-1-111-1111-111111-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11-1-1-11-1-1-1-1-1111111-111-1
χ581111111111-1-1-1-11111-1-1-1-1-1-111-1-11-1-1-11-11111-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1111-11-1-1-1-111-1-11-1-11
χ591111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-1-1-1-1111111-1-1
χ601111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-111-1-111-1-1-11111-1-1-1-111
χ611111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-111-1-1111-1-1-1-111-1-111
χ621111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1
χ632222-2-22-22-200002222000000-2-2020-20-202000000000000-2-2-2-222-22-220000-2-2-2-2000000220-202020-2000000000000
χ642222-2-22-22-200002222000000-2-20-202020-2000000000000-2-2-2-222-22-220000-2-2-2-200000022020-20-202000000000000
χ652222-2-22-22-20000-2-2-2-20000002202020-20-2000000000000-2-2-2-222-22-2200002222000000-2-20-20-20202000000000000
χ662222-2-22-22-20000-2-2-2-2000000220-20-20202000000000000-2-2-2-222-22-2200002222000000-2-202020-20-2000000000000
χ672222-2-2-22-22222200000000-2-20020-20-2020000000000000-2-2-2-2222-22-2-2-2-2-2000000002200-202020-20000000000000
χ682222-2-2-22-22222200000000-2-200-202020-20000000000000-2-2-2-2222-22-2-2-2-2-200000000220020-20-2020000000000000
χ692222-2-2-22-22-2-2-2-20000000022002020-20-20000000000000-2-2-2-2222-22-2222200000000-2-200-20-202020000000000000
χ702222-2-2-22-22-2-2-2-2000000002200-20-202020000000000000-2-2-2-2222-22-2222200000000-2-2002020-20-20000000000000
χ712-22-22-22-2-2200002i2i−2i−2i0000002i−2i00000000002i−2i002-20000-22-22-22-222-20000−2i−2i2i2i000000−2i2i0000000000−2i2i00-220000
χ722-22-22-22-2-2200002i2i−2i−2i0000002i−2i0000000000−2i2i00-220000-22-22-22-222-20000−2i−2i2i2i000000−2i2i00000000002i−2i002-20000
χ732-22-22-22-2-220000−2i−2i2i2i000000−2i2i00000000002i−2i00-220000-22-22-22-222-200002i2i−2i−2i0000002i−2i0000000000−2i2i002-20000
χ742-22-22-22-2-220000−2i−2i2i2i000000−2i2i0000000000−2i2i002-20000-22-22-22-222-200002i2i−2i−2i0000002i−2i00000000002i−2i00-220000
χ752-22-22-2-222-22i2i−2i−2i000000002i−2i00000000002i−2i002-2000000-22-22-222-2-22−2i−2i2i2i00000000−2i2i0000000000−2i2i00-22000000
χ762-22-22-2-222-22i2i−2i−2i000000002i−2i0000000000−2i2i00-22000000-22-22-222-2-22−2i−2i2i2i00000000−2i2i00000000002i−2i002-2000000
χ772-22-22-2-222-2−2i−2i2i2i00000000−2i2i00000000002i−2i00-22000000-22-22-222-2-222i2i−2i−2i000000002i−2i0000000000−2i2i002-2000000
χ782-22-22-2-222-2−2i−2i2i2i00000000−2i2i0000000000−2i2i002-2000000-22-22-222-2-222i2i−2i−2i000000002i−2i00000000002i−2i00-22000000
χ792-22-2-2222-2-22i2i−2i−2i2i2i−2i−2i22-2-2−2i2i−2i2i00000000000000000000-22-222-2-2-222−2i−2i2i2i−2i−2i2i2i-2-2222i−2i2i−2i00000000000000000000
χ802-22-2-2222-2-22i2i−2i−2i−2i−2i2i2i-2-222−2i2i2i−2i00000000000000000000-22-222-2-2-222−2i−2i2i2i2i2i−2i−2i22-2-22i−2i−2i2i00000000000000000000
χ812-22-2-2222-2-2−2i−2i2i2i2i2i−2i−2i-2-2222i−2i−2i2i00000000000000000000-22-222-2-2-2222i2i−2i−2i−2i−2i2i2i22-2-2−2i2i2i−2i00000000000000000000
χ822-22-2-2222-2-2−2i−2i2i2i−2i−2i2i2i22-2-22i−2i2i−2i00000000000000000000-22-222-2-2-2222i2i−2i−2i2i2i−2i−2i-2-222−2i2i−2i2i00000000000000000000
χ83444444-4-4-4-4000000000000000000000000000000000000-4-4-4-4-4-44444000000000000000000000000000000000000
χ8444-4-40000002i2−2i22i2−2i22i2−2i22i2−2i22-22-2000000000000000000000000-4-444000000−2i22i2−2i22i2−2i22i2−2i22i2-22-22000000000000000000000000
χ8544-4-40000002i2−2i22i2−2i2−2i22i2−2i22i2-22-22000000000000000000000000-4-444000000−2i22i2−2i22i22i2−2i22i2−2i22-22-2000000000000000000000000
χ8644-4-4000000−2i22i2−2i22i22i2−2i22i2−2i2-22-22000000000000000000000000-4-4440000002i2−2i22i2−2i2−2i22i2−2i22i22-22-2000000000000000000000000
χ8744-4-4000000−2i22i2−2i22i2−2i22i2−2i22i22-22-2000000000000000000000000-4-4440000002i2−2i22i2−2i22i2−2i22i2−2i2-22-22000000000000000000000000
χ884-44-4-44-4-444000000000000000000000000000000000000-44-444-444-4-4000000000000000000000000000000000000
χ894-4-4400000022−22−222222−22−22222-2-22000000000000000000000000-444-4000000−222222−22−222222−22-222-2000000000000000000000000
χ904-4-4400000022−22−2222−222222−22-222-2000000000000000000000000-444-4000000−222222−2222−22−22222-2-22000000000000000000000000
χ914-4-44000000−222222−2222−22−2222-222-2000000000000000000000000-444-400000022−22−2222−222222−222-2-22000000000000000000000000
χ924-4-44000000−222222−22−222222−222-2-22000000000000000000000000-444-400000022−22−222222−22−2222-222-2000000000000000000000000

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