Finite Group Databasebeta

← Group #358446

Character table — Group #358446

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222222244444444444444444444444444444444888888882222222222224444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ911-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i11-1-1i−ii−iii−i−ii−ii−i11-1-111-1-111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i11-1-1i−ii−iii−i−ii−ii−i11-1-111-1-1
χ1011-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i11-1-1−ii−iiii−i−i−ii−ii-1-111-1-11111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i11-1-1−ii−iiii−i−i−ii−ii-1-111-1-111
χ1111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i-1-111i−i−ii−i−iiii−i−ii11-1-1-1-11111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i-1-111i−i−ii−i−iiii−i−ii11-1-1-1-111
χ1211-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i-1-111−iii−i−i−iii−iii−i-1-11111-1-111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i-1-111−iii−i−i−iii−iii−i-1-11111-1-1
χ1311-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii11-1-1i−ii−i−i−iiii−ii−i-1-111-1-11111-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii11-1-1i−ii−i−i−iiii−ii−i-1-111-1-111
χ1411-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii11-1-1−ii−ii−i−iii−ii−ii11-1-111-1-111-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii11-1-1−ii−ii−i−iii−ii−ii11-1-111-1-1
χ1511-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii-1-111i−i−iiii−i−ii−i−ii-1-11111-1-111-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii-1-111i−i−iiii−i−ii−i−ii-1-11111-1-1
χ1611-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii-1-111−iii−iii−i−i−iii−i11-1-1-1-11111-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii-1-111−iii−iii−i−i−iii−i11-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-2000000002-22-200000000000000000000222222222222-2-2-2-2-2-2-2-2000000002-22-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-200000000-22-2200000000000000000000222222222222-2-2-2-2-2-2-2-200000000-22-2200000000000000000000
χ1922222222-2-2-2-22-222-2-22-20000000000000022000000-2-20000000022222222-2-2-2-22-222-2-22-20000000000000022000000-2-200000000
χ2022222222-2-2-2-22-222-2-22-200000000000000-2-2000000220000000022222222-2-2-2-22-222-2-22-200000000000000-2-20000002200000000
χ2122222222-2-2-2-2-22-2-222-2200000000000022000000-2-2000000000022222222-2-2-2-2-22-2-222-2200000000000022000000-2-20000000000
χ2222222222-2-2-2-2-22-2-222-22000000000000-2-200000022000000000022222222-2-2-2-2-22-2-222-22000000000000-2-2000000220000000000
χ2322-2-222-2-222-2-2-2-22222-2-2000000002-2-220000000000000000000022-2-222-2-222-2-2-2-22222-2-2000000002-2-2200000000000000000000
χ2422-2-222-2-222-2-2-2-22222-2-200000000-222-20000000000000000000022-2-222-2-222-2-2-2-22222-2-200000000-222-200000000000000000000
χ2522-2-222-2-2-2-2222-2-2-2222-2000000000000002i−2i000000−2i2i0000000022-2-222-2-2-2-2222-2-2-2222-2000000000000002i−2i000000−2i2i00000000
χ2622-2-222-2-2-2-2222-2-2-2222-200000000000000−2i2i0000002i−2i0000000022-2-222-2-2-2-2222-2-2-2222-200000000000000−2i2i0000002i−2i00000000
χ2722-2-222-2-2-2-222-2222-2-2-220000000000002i−2i000000−2i2i000000000022-2-222-2-2-2-222-2222-2-2-220000000000002i−2i000000−2i2i0000000000
χ2822-2-222-2-2-2-222-2222-2-2-22000000000000−2i2i0000002i−2i000000000022-2-222-2-2-2-222-2222-2-2-22000000000000−2i2i0000002i−2i0000000000
χ292-2222-2-2-22-22-22-22-22-2-2200000000000000000000000000002-22-22-2222-2-2-22-22-22-22-22-2-2200000000000000000000000000002-22-2
χ302-2222-2-2-22-22-22-22-22-2-220000000000000000000000000000-22-222-2222-2-2-22-22-22-22-22-2-220000000000000000000000000000-22-22
χ312-2222-2-2-22-22-2-22-22-222-20000000000000000000000002-22-200002-2222-2-2-22-22-2-22-22-222-20000000000000000000000002-22-20000
χ322-2222-2-2-22-22-2-22-22-222-2000000000000000000000000-22-2200002-2222-2-2-22-22-2-22-22-222-2000000000000000000000000-22-220000
χ332-2222-2-2-2-22-22222-2-22-2-222-2-222-2-20000000000000000000000002-2222-2-2-2-22-22222-2-22-2-222-2-222-2-2000000000000000000000000
χ342-2222-2-2-2-22-22222-2-22-2-2-2-222-2-2220000000000000000000000002-2222-2-2-2-22-22222-2-22-2-2-2-222-2-222000000000000000000000000
χ352-2222-2-2-2-22-22-2-2-222-22200000000000000002i−2i2i−2i0000000000002-2222-2-2-2-22-22-2-2-222-22200000000000000002i−2i2i−2i000000000000
χ362-2222-2-2-2-22-22-2-2-222-2220000000000000000−2i2i−2i2i0000000000002-2222-2-2-2-22-22-2-2-222-2220000000000000000−2i2i−2i2i000000000000
χ372-2-2-22-2222-2-222-2-22-22-2200000000000000000000000000002-2-222-2-2-22-2222-2-222-2-22-22-2200000000000000000000000000002-2-22
χ382-2-2-22-2222-2-222-2-22-22-220000000000000000000000000000-222-22-2-2-22-2222-2-222-2-22-22-220000000000000000000000000000-222-2
χ392-2-2-22-2222-2-22-222-22-22-20000000000000000000000002-2-2200002-2-2-22-2222-2-22-222-22-22-20000000000000000000000002-2-220000
χ402-2-2-22-2222-2-22-222-22-22-2000000000000000000000000-222-200002-2-2-22-2222-2-22-222-22-22-2000000000000000000000000-222-20000
χ412-2-2-22-222-222-222-222-2-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-2-2-22-222-222-222-222-2-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ422-2-2-22-222-222-222-222-2-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-2-2-22-222-222-222-222-2-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ432-2-2-22-222-222-2-2-22-2-222200000000000000002-2-220000000000002-2-2-22-222-222-2-2-22-2-222200000000000000002-2-22000000000000
χ442-2-2-22-222-222-2-2-22-2-22220000000000000000-222-20000000000002-2-2-22-222-222-2-2-22-2-22220000000000000000-222-2000000000000
χ45444-4-4-44-40000000000002-22-22-22-2000000000000000000000000444-4-4-44-40000000000002-22-22-22-2000000000000000000000000
χ46444-4-4-44-4000000000000-22-22-22-22000000000000000000000000444-4-4-44-4000000000000-22-22-22-22000000000000000000000000
χ4744-44-4-4-440000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000044-44-4-4-440000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4844-44-4-4-44000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000044-44-4-4-44000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ494-44-4-44-440000000000002-2-222-2-220000000000000000000000004-44-4-44-440000000000002-2-222-2-22000000000000000000000000
χ504-44-4-44-44000000000000-222-2-222-20000000000000000000000004-44-4-44-44000000000000-222-2-222-2000000000000000000000000
χ514-4-44-444-40000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000004-4-44-444-40000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ524-4-44-444-4000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000004-4-44-444-4000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
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
χ5411111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ551111111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-11111
χ561111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-11111-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ6111-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i11-1-1i−ii−iii−i−ii−ii−i11-1-111-1-1-1-111-1-111-1-111-1-11111-1-1−i−i−i−iiiii-1-111−ii−ii−i−iii−ii−ii-1-111-1-111
χ6211-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i11-1-1−ii−iiii−i−i−ii−ii-1-111-1-111-1-111-1-111-1-111-1-11111-1-1−i−i−i−iiiii-1-111i−ii−i−i−iiii−ii−i11-1-111-1-1
χ6311-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i-1-111i−i−ii−i−iiii−i−ii11-1-1-1-111-1-111-1-111-1-111-1-11111-1-1−i−i−i−iiiii11-1-1−iii−iii−i−i−iii−i-1-11111-1-1
χ6411-1-111-1-111-1-111-1-1-1-111iiii−i−i−i−i-1-111−iii−i−i−iii−iii−i-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1−i−i−i−iiiii11-1-1i−i−iiii−i−ii−i−ii11-1-1-1-111
χ6511-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii11-1-1i−ii−i−i−iiii−ii−i-1-111-1-111-1-111-1-111-1-111-1-11111-1-1iiii−i−i−i−i-1-111−ii−iiii−i−i−ii−ii11-1-111-1-1
χ6611-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii11-1-1−ii−ii−i−iii−ii−ii11-1-111-1-1-1-111-1-111-1-111-1-11111-1-1iiii−i−i−i−i-1-111i−ii−iii−i−ii−ii−i-1-111-1-111
χ6711-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii-1-111i−i−iiii−i−ii−i−ii-1-11111-1-1-1-111-1-111-1-111-1-11111-1-1iiii−i−i−i−i11-1-1−iii−i−i−iii−iii−i11-1-1-1-111
χ6811-1-111-1-111-1-111-1-1-1-111−i−i−i−iiiii-1-111−iii−iii−i−i−iii−i11-1-1-1-111-1-111-1-111-1-111-1-11111-1-1iiii−i−i−i−i11-1-1i−i−ii−i−iiii−i−ii-1-11111-1-1
χ69222222222222-2-2-2-2-2-2-2-2000000002-22-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222222200000000-22-2200000000000000000000
χ70222222222222-2-2-2-2-2-2-2-200000000-22-2200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222000000002-22-200000000000000000000
χ7122222222-2-2-2-22-222-2-22-20000000000000022000000-2-200000000-2-2-2-2-2-2-2-22222-22-2-222-2200000000000000-2-20000002200000000
χ7222222222-2-2-2-22-222-2-22-200000000000000-2-20000002200000000-2-2-2-2-2-2-2-22222-22-2-222-220000000000000022000000-2-200000000
χ7322222222-2-2-2-2-22-2-222-2200000000000022000000-2-20000000000-2-2-2-2-2-2-2-222222-222-2-22-2000000000000-2-2000000220000000000
χ7422222222-2-2-2-2-22-2-222-22000000000000-2-2000000220000000000-2-2-2-2-2-2-2-222222-222-2-22-200000000000022000000-2-20000000000
χ7522-2-222-2-222-2-2-2-22222-2-2000000002-2-2200000000000000000000-2-222-2-222-2-22222-2-2-2-22200000000-222-200000000000000000000
χ7622-2-222-2-222-2-2-2-22222-2-200000000-222-200000000000000000000-2-222-2-222-2-22222-2-2-2-222000000002-2-2200000000000000000000
χ7722-2-222-2-2-2-2222-2-2-2222-2000000000000002i−2i000000−2i2i00000000-2-222-2-22222-2-2-2222-2-2-2200000000000000−2i2i0000002i−2i00000000
χ7822-2-222-2-2-2-2222-2-2-2222-200000000000000−2i2i0000002i−2i00000000-2-222-2-22222-2-2-2222-2-2-22000000000000002i−2i000000−2i2i00000000
χ7922-2-222-2-2-2-222-2222-2-2-220000000000002i−2i000000−2i2i0000000000-2-222-2-22222-2-22-2-2-2222-2000000000000−2i2i0000002i−2i0000000000
χ8022-2-222-2-2-2-222-2222-2-2-22000000000000−2i2i0000002i−2i0000000000-2-222-2-22222-2-22-2-2-2222-20000000000002i−2i000000−2i2i0000000000
χ812-2222-2-2-22-22-22-22-22-2-2200000000000000000000000000002-22-2-22-2-2-2222-22-22-22-22-222-20000000000000000000000000000-22-22
χ822-2222-2-2-22-22-22-22-22-2-220000000000000000000000000000-22-22-22-2-2-2222-22-22-22-22-222-200000000000000000000000000002-22-2
χ832-2222-2-2-22-22-2-22-22-222-20000000000000000000000002-22-20000-22-2-2-2222-22-222-22-22-2-22000000000000000000000000-22-220000
χ842-2222-2-2-22-22-2-22-22-222-2000000000000000000000000-22-220000-22-2-2-2222-22-222-22-22-2-220000000000000000000000002-22-20000
χ852-2222-2-2-2-22-22222-2-22-2-222-2-222-2-2000000000000000000000000-22-2-2-22222-22-2-2-2-222-222-2-222-2-222000000000000000000000000
χ862-2222-2-2-2-22-22222-2-22-2-2-2-222-2-222000000000000000000000000-22-2-2-22222-22-2-2-2-222-22222-2-222-2-2000000000000000000000000
χ872-2222-2-2-2-22-22-2-2-222-22200000000000000002i−2i2i−2i000000000000-22-2-2-22222-22-2222-2-22-2-20000000000000000−2i2i−2i2i000000000000
χ882-2222-2-2-2-22-22-2-2-222-2220000000000000000−2i2i−2i2i000000000000-22-2-2-22222-22-2222-2-22-2-200000000000000002i−2i2i−2i000000000000
χ892-2-2-22-2222-2-222-2-22-22-2200000000000000000000000000002-2-22-2222-22-2-2-222-2-222-22-22-20000000000000000000000000000-222-2
χ902-2-2-22-2222-2-222-2-22-22-220000000000000000000000000000-222-2-2222-22-2-2-222-2-222-22-22-200000000000000000000000000002-2-22
χ912-2-2-22-2222-2-22-222-22-22-20000000000000000000000002-2-220000-2222-22-2-2-222-22-2-22-22-22000000000000000000000000-222-20000
χ922-2-2-22-2222-2-22-222-22-22-2000000000000000000000000-222-20000-2222-22-2-2-222-22-2-22-22-220000000000000000000000002-2-220000
χ932-2-2-22-222-222-222-222-2-2-22i2i−2i−2i−2i−2i2i2i000000000000000000000000-2222-22-2-22-2-22-2-22-2-2222−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ942-2-2-22-222-222-222-222-2-2-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000-2222-22-2-22-2-22-2-22-2-22222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ952-2-2-22-222-222-2-2-22-2-222200000000000000002-2-22000000000000-2222-22-2-22-2-2222-222-2-2-20000000000000000-222-2000000000000
χ962-2-2-22-222-222-2-2-22-2-22220000000000000000-222-2000000000000-2222-22-2-22-2-2222-222-2-2-200000000000000002-2-22000000000000
χ97444-4-4-44-40000000000002-22-22-22-2000000000000000000000000-4-4-4444-44000000000000-22-22-22-22000000000000000000000000
χ98444-4-4-44-4000000000000-22-22-22-22000000000000000000000000-4-4-4444-440000000000002-22-22-22-2000000000000000000000000
χ9944-44-4-4-440000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000-4-44-4444-4000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ10044-44-4-4-44000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000-4-44-4444-40000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ1014-44-4-44-440000000000002-2-222-2-22000000000000000000000000-44-444-44-4000000000000-222-2-222-2000000000000000000000000
χ1024-44-4-44-44000000000000-222-2-222-2000000000000000000000000-44-444-44-40000000000002-2-222-2-22000000000000000000000000
χ1034-4-44-444-40000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000-444-44-4-44000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ1044-4-44-444-4000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000-444-44-4-440000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000

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