Finite Group Databasebeta

← Group #6431980

Character table — Group #6431980

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222222244444444888888884444444444444444444488882222222222224444444488888888444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-20000000000000000000000002-22-20000222222222222-2-2-2-2-2-2-2-20000000000000000000000002-22-20000
χ18222222222222-2-2-2-2-2-2-2-2000000000000000000000000-22-220000222222222222-2-2-2-2-2-2-2-2000000000000000000000000-22-220000
χ1922222222-2-2-2-2-2-22222-2-20000000000000000000000002-2-22000022222222-2-2-2-2-2-22222-2-20000000000000000000000002-2-220000
χ2022222222-2-2-2-2-2-22222-2-2000000000000000000000000-222-2000022222222-2-2-2-2-2-22222-2-2000000000000000000000000-222-20000
χ212222-2-2-2-222-2-22-222-2-22-200000000000000000000000000002-22-22222-2-2-2-222-2-22-222-2-22-200000000000000000000000000002-22-2
χ222222-2-2-2-222-2-22-222-2-22-20000000000000000000000000000-22-222222-2-2-2-222-2-22-222-2-22-20000000000000000000000000000-22-22
χ232222-2-2-2-222-2-2-22-2-222-2222-2-222-2-20000000000000000000000002222-2-2-2-222-2-2-22-2-222-2222-2-222-2-2000000000000000000000000
χ242222-2-2-2-222-2-2-22-2-222-22-2-222-2-2220000000000000000000000002222-2-2-2-222-2-2-22-2-222-22-2-222-2-222000000000000000000000000
χ252222-2-2-2-2-2-2222-2-2-2222-200000000000000000000000000002-2-222222-2-2-2-2-2-2222-2-2-2222-200000000000000000000000000002-2-22
χ262222-2-2-2-2-2-2222-2-2-2222-20000000000000000000000000000-222-22222-2-2-2-2-2-2222-2-2-2222-20000000000000000000000000000-222-2
χ272222-2-2-2-2-2-222-2222-2-2-2222-2-2-2-2220000000000000000000000002222-2-2-2-2-2-222-2222-2-2-2222-2-2-2-222000000000000000000000000
χ282222-2-2-2-2-2-222-2222-2-2-22-2-22222-2-20000000000000000000000002222-2-2-2-2-2-222-2222-2-2-22-2-22222-2-2000000000000000000000000
χ292-2-2222-2-22-22-2222-22-2-2-2000000002-22-2000000000000000000002-2-2222-2-22-22-2222-22-2-2-2000000002-22-200000000000000000000
χ302-2-2222-2-22-22-2222-22-2-2-200000000-22-22000000000000000000002-2-2222-2-22-22-2222-22-2-2-200000000-22-2200000000000000000000
χ312-2-2222-2-22-22-2-2-2-22-222200000000000000002i−2i2i−2i0000000000002-2-2222-2-22-22-2-2-2-22-222200000000000000002i−2i2i−2i000000000000
χ322-2-2222-2-22-22-2-2-2-22-22220000000000000000−2i2i−2i2i0000000000002-2-2222-2-22-22-2-2-2-22-22220000000000000000−2i2i−2i2i000000000000
χ332-2-2222-2-2-22-2222-22-22-2-2000000002-2-22000000000000000000002-2-2222-2-2-22-2222-22-22-2-2000000002-2-2200000000000000000000
χ342-2-2222-2-2-22-2222-22-22-2-200000000-222-2000000000000000000002-2-2222-2-2-22-2222-22-22-2-200000000-222-200000000000000000000
χ352-2-2222-2-2-22-22-2-22-22-22200000000000000002i−2i−2i2i0000000000002-2-2222-2-2-22-22-2-22-22-22200000000000000002i−2i−2i2i000000000000
χ362-2-2222-2-2-22-22-2-22-22-2220000000000000000−2i2i2i−2i0000000000002-2-2222-2-2-22-22-2-22-22-2220000000000000000−2i2i2i−2i000000000000
χ372-2-22-2-2222-2-222-22-2-22-22000000000000000000002-22-2000000002-2-22-2-2222-2-222-22-2-22-22000000000000000000002-22-200000000
χ382-2-22-2-2222-2-222-22-2-22-2200000000000000000000-22-22000000002-2-22-2-2222-2-222-22-2-22-2200000000000000000000-22-2200000000
χ392-2-22-2-2222-2-22-22-222-22-20000000000002-22-200000000000000002-2-22-2-2222-2-22-22-222-22-20000000000002-22-20000000000000000
χ402-2-22-2-2222-2-22-22-222-22-2000000000000-22-2200000000000000002-2-22-2-2222-2-22-22-222-22-2000000000000-22-220000000000000000
χ412-2-22-2-222-222-22-2-222-2-22000000000000000000002-2-22000000002-2-22-2-222-222-22-2-222-2-22000000000000000000002-2-2200000000
χ422-2-22-2-222-222-22-2-222-2-2200000000000000000000-222-2000000002-2-22-2-222-222-22-2-222-2-2200000000000000000000-222-200000000
χ432-2-22-2-222-222-2-222-2-222-20000000000002-2-2200000000000000002-2-22-2-222-222-2-222-2-222-20000000000002-2-220000000000000000
χ442-2-22-2-222-222-2-222-2-222-2000000000000-222-200000000000000002-2-22-2-222-222-2-222-2-222-2000000000000-222-20000000000000000
χ4544-4-44-44-400000000000000002i2−2i22i2−2i200000000000000000000000044-4-44-44-400000000000000002i2−2i22i2−2i2000000000000000000000000
χ4644-4-44-44-40000000000000000−2i22i2−2i22i200000000000000000000000044-4-44-44-40000000000000000−2i22i2−2i22i2000000000000000000000000
χ4744-4-4-44-4400000000000000002i2−2i2−2i22i200000000000000000000000044-4-4-44-4400000000000000002i2−2i2−2i22i2000000000000000000000000
χ4844-4-4-44-440000000000000000−2i22i22i2−2i200000000000000000000000044-4-4-44-440000000000000000−2i22i22i2−2i2000000000000000000000000
χ494-44-44-4-440000000000002i2−2i22i2−2i200000000000000000000000000004-44-44-4-440000000000002i2−2i22i2−2i20000000000000000000000000000
χ504-44-44-4-44000000000000−2i22i2−2i22i200000000000000000000000000004-44-44-4-44000000000000−2i22i2−2i22i20000000000000000000000000000
χ514-44-4-444-40000000000002i2−2i2−2i22i200000000000000000000000000004-44-4-444-40000000000002i2−2i2−2i22i20000000000000000000000000000
χ524-44-4-444-4000000000000−2i22i22i2−2i200000000000000000000000000004-44-4-444-4000000000000−2i22i22i2−2i20000000000000000000000000000
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
χ54111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ551111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ561111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ5811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111
χ6211111111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-111-1-1
χ6311111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-111-1-1
χ6411111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-1-1-111-1-111
χ6511111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6611111111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ6711111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ6811111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ69222222222222-2-2-2-2-2-2-2-20000000000000000000000002-22-20000-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000-22-220000
χ70222222222222-2-2-2-2-2-2-2-2000000000000000000000000-22-220000-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000002-22-20000
χ7122222222-2-2-2-2-2-22222-2-20000000000000000000000002-2-220000-2-2-2-2-2-2-2-2222222-2-2-2-222000000000000000000000000-222-20000
χ7222222222-2-2-2-2-2-22222-2-2000000000000000000000000-222-20000-2-2-2-2-2-2-2-2222222-2-2-2-2220000000000000000000000002-2-220000
χ732222-2-2-2-222-2-22-222-2-22-200000000000000000000000000002-22-2-2-2-2-22222-2-222-22-2-222-220000000000000000000000000000-22-22
χ742222-2-2-2-222-2-22-222-2-22-20000000000000000000000000000-22-22-2-2-2-22222-2-222-22-2-222-2200000000000000000000000000002-22-2
χ752222-2-2-2-222-2-2-22-2-222-2222-2-222-2-2000000000000000000000000-2-2-2-22222-2-2222-222-2-22-2-2-222-2-222000000000000000000000000
χ762222-2-2-2-222-2-2-22-2-222-22-2-222-2-222000000000000000000000000-2-2-2-22222-2-2222-222-2-22-222-2-222-2-2000000000000000000000000
χ772222-2-2-2-2-2-2222-2-2-2222-200000000000000000000000000002-2-22-2-2-2-2222222-2-2-2222-2-2-220000000000000000000000000000-222-2
χ782222-2-2-2-2-2-2222-2-2-2222-20000000000000000000000000000-222-2-2-2-2-2222222-2-2-2222-2-2-2200000000000000000000000000002-2-22
χ792222-2-2-2-2-2-222-2222-2-2-2222-2-2-2-222000000000000000000000000-2-2-2-2222222-2-22-2-2-2222-2-2-22222-2-2000000000000000000000000
χ802222-2-2-2-2-2-222-2222-2-2-22-2-22222-2-2000000000000000000000000-2-2-2-2222222-2-22-2-2-2222-222-2-2-2-222000000000000000000000000
χ812-2-2222-2-22-22-2222-22-2-2-2000000002-22-200000000000000000000-222-2-2-222-22-22-2-2-22-222200000000-22-2200000000000000000000
χ822-2-2222-2-22-22-2222-22-2-2-200000000-22-2200000000000000000000-222-2-2-222-22-22-2-2-22-2222000000002-22-200000000000000000000
χ832-2-2222-2-22-22-2-2-2-22-222200000000000000002i−2i2i−2i000000000000-222-2-2-222-22-22222-22-2-2-20000000000000000−2i2i−2i2i000000000000
χ842-2-2222-2-22-22-2-2-2-22-22220000000000000000−2i2i−2i2i000000000000-222-2-2-222-22-22222-22-2-2-200000000000000002i−2i2i−2i000000000000
χ852-2-2222-2-2-22-2222-22-22-2-2000000002-2-2200000000000000000000-222-2-2-2222-22-2-2-22-22-22200000000-222-200000000000000000000
χ862-2-2222-2-2-22-2222-22-22-2-200000000-222-200000000000000000000-222-2-2-2222-22-2-2-22-22-222000000002-2-2200000000000000000000
χ872-2-2222-2-2-22-22-2-22-22-22200000000000000002i−2i−2i2i000000000000-222-2-2-2222-22-222-22-22-2-20000000000000000−2i2i2i−2i000000000000
χ882-2-2222-2-2-22-22-2-22-22-2220000000000000000−2i2i2i−2i000000000000-222-2-2-2222-22-222-22-22-2-200000000000000002i−2i−2i2i000000000000
χ892-2-22-2-2222-2-222-22-2-22-22000000000000000000002-22-200000000-222-222-2-2-222-2-22-222-22-200000000000000000000-22-2200000000
χ902-2-22-2-2222-2-222-22-2-22-2200000000000000000000-22-2200000000-222-222-2-2-222-2-22-222-22-2000000000000000000002-22-200000000
χ912-2-22-2-2222-2-22-22-222-22-20000000000002-22-20000000000000000-222-222-2-2-222-22-22-2-22-22000000000000-22-220000000000000000
χ922-2-22-2-2222-2-22-22-222-22-2000000000000-22-220000000000000000-222-222-2-2-222-22-22-2-22-220000000000002-22-20000000000000000
χ932-2-22-2-222-222-22-2-222-2-22000000000000000000002-2-2200000000-222-222-2-22-2-22-222-2-222-200000000000000000000-222-200000000
χ942-2-22-2-222-222-22-2-222-2-2200000000000000000000-222-200000000-222-222-2-22-2-22-222-2-222-2000000000000000000002-2-2200000000
χ952-2-22-2-222-222-2-222-2-222-20000000000002-2-220000000000000000-222-222-2-22-2-222-2-222-2-22000000000000-222-20000000000000000
χ962-2-22-2-222-222-2-222-2-222-2000000000000-222-20000000000000000-222-222-2-22-2-222-2-222-2-220000000000002-2-220000000000000000
χ9744-4-44-44-400000000000000002i2−2i22i2−2i2000000000000000000000000-4-444-44-440000000000000000−2i22i2−2i22i2000000000000000000000000
χ9844-4-44-44-40000000000000000−2i22i2−2i22i2000000000000000000000000-4-444-44-4400000000000000002i2−2i22i2−2i2000000000000000000000000
χ9944-4-4-44-4400000000000000002i2−2i2−2i22i2000000000000000000000000-4-4444-44-40000000000000000−2i22i22i2−2i2000000000000000000000000
χ10044-4-4-44-440000000000000000−2i22i22i2−2i2000000000000000000000000-4-4444-44-400000000000000002i2−2i2−2i22i2000000000000000000000000
χ1014-44-44-4-440000000000002i2−2i22i2−2i20000000000000000000000000000-44-44-444-4000000000000−2i22i2−2i22i20000000000000000000000000000
χ1024-44-44-4-44000000000000−2i22i2−2i22i20000000000000000000000000000-44-44-444-40000000000002i2−2i22i2−2i20000000000000000000000000000
χ1034-44-4-444-40000000000002i2−2i2−2i22i20000000000000000000000000000-44-444-4-44000000000000−2i22i22i2−2i20000000000000000000000000000
χ1044-44-4-444-4000000000000−2i22i22i2−2i20000000000000000000000000000-44-444-4-440000000000002i2−2i2−2i22i20000000000000000000000000000

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