Finite Group Databasebeta

← Group #6432437

Character table — Group #6432437

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222222244444444444444444444444444444444888888882222222222224444444444444444444444444444444488888888
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
χ911111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-11111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111
χ1211111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ1411111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1
χ1611111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-222-2-2-2-22200000000000000000000000022222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000000000000022222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000
χ21222-22-2-2-222-2-22222-2-2-2-200000000000000002-22-2000000000000222-22-2-2-222-2-22222-2-2-2-200000000000000002-22-2000000000000
χ22222-22-2-2-222-2-22222-2-2-2-20000000000000000-22-22000000000000222-22-2-2-222-2-22222-2-2-2-20000000000000000-22-22000000000000
χ23222-22-2-2-222-2-2-2-2-2-22222000000000000000000002i−2i2i−2i00000000222-22-2-2-222-2-2-2-2-2-22222000000000000000000002i−2i2i−2i00000000
χ24222-22-2-2-222-2-2-2-2-2-2222200000000000000000000−2i2i−2i2i00000000222-22-2-2-222-2-2-2-2-2-2222200000000000000000000−2i2i−2i2i00000000
χ25222-22-2-2-2-2-22222-2-222-2-200000000000000002-2-22000000000000222-22-2-2-2-2-22222-2-222-2-200000000000000002-2-22000000000000
χ26222-22-2-2-2-2-22222-2-222-2-20000000000000000-222-2000000000000222-22-2-2-2-2-22222-2-222-2-20000000000000000-222-2000000000000
χ27222-22-2-2-2-2-222-2-222-2-222000000000000000000002i−2i−2i2i00000000222-22-2-2-2-2-222-2-222-2-222000000000000000000002i−2i−2i2i00000000
χ28222-22-2-2-2-2-222-2-222-2-22200000000000000000000−2i2i2i−2i00000000222-22-2-2-2-2-222-2-222-2-22200000000000000000000−2i2i2i−2i00000000
χ292-222-2-2-222-22-22-22-22-22-20000000000002i−2i2i−2i00000000000000002-222-2-2-222-22-22-22-22-22-20000000000002i−2i2i−2i0000000000000000
χ302-222-2-2-222-22-22-22-22-22-2000000000000−2i2i−2i2i00000000000000002-222-2-2-222-22-22-22-22-22-2000000000000−2i2i−2i2i0000000000000000
χ312-222-2-2-222-22-2-22-22-22-22000000002i−2i2i−2i000000000000000000002-222-2-2-222-22-2-22-22-22-22000000002i−2i2i−2i00000000000000000000
χ322-222-2-2-222-22-2-22-22-22-2200000000−2i2i−2i2i000000000000000000002-222-2-2-222-22-2-22-22-22-2200000000−2i2i−2i2i00000000000000000000
χ332-222-2-2-22-22-222-2-22-222-20000000000002i−2i−2i2i00000000000000002-222-2-2-22-22-222-2-22-222-20000000000002i−2i−2i2i0000000000000000
χ342-222-2-2-22-22-222-2-22-222-2000000000000−2i2i2i−2i00000000000000002-222-2-2-22-22-222-2-22-222-2000000000000−2i2i2i−2i0000000000000000
χ352-222-2-2-22-22-22-222-22-2-22000000002i−2i−2i2i000000000000000000002-222-2-2-22-22-22-222-22-2-22000000002i−2i−2i2i00000000000000000000
χ362-222-2-2-22-22-22-222-22-2-2200000000−2i2i2i−2i000000000000000000002-222-2-2-22-22-22-222-22-2-2200000000−2i2i2i−2i00000000000000000000
χ372-22-2-222-22-2-222-22-2-22-2200000000000000000000000000002i−2i2i−2i2-22-2-222-22-2-222-22-2-22-2200000000000000000000000000002i−2i2i−2i
χ382-22-2-222-22-2-222-22-2-22-220000000000000000000000000000−2i2i−2i2i2-22-2-222-22-2-222-22-2-22-220000000000000000000000000000−2i2i−2i2i
χ392-22-2-222-22-2-22-22-222-22-20000000000000000000000002i−2i2i−2i00002-22-2-222-22-2-22-22-222-22-20000000000000000000000002i−2i2i−2i0000
χ402-22-2-222-22-2-22-22-222-22-2000000000000000000000000−2i2i−2i2i00002-22-2-222-22-2-22-22-222-22-2000000000000000000000000−2i2i−2i2i0000
χ412-22-2-222-2-222-22-2-222-2-2200000000000000000000000000002i−2i−2i2i2-22-2-222-2-222-22-2-222-2-2200000000000000000000000000002i−2i−2i2i
χ422-22-2-222-2-222-22-2-222-2-220000000000000000000000000000−2i2i2i−2i2-22-2-222-2-222-22-2-222-2-220000000000000000000000000000−2i2i2i−2i
χ432-22-2-222-2-222-2-222-2-222-20000000000000000000000002i−2i−2i2i00002-22-2-222-2-222-2-222-2-222-20000000000000000000000002i−2i−2i2i0000
χ442-22-2-222-2-222-2-222-2-222-2000000000000000000000000−2i2i2i−2i00002-22-2-222-2-222-2-222-2-222-2000000000000000000000000−2i2i2i−2i0000
χ4544-44-44-4-4000000000000004-4000000000000000000000000000044-44-44-4-4000000000000004-40000000000000000000000000000
χ4644-44-44-4-400000000000000-44000000000000000000000000000044-44-44-4-400000000000000-440000000000000000000000000000
χ4744-4-4-4-4440000000000004i−4i00000000000000000000000000000044-4-4-4-4440000000000004i−4i000000000000000000000000000000
χ4844-4-4-4-444000000000000−4i4i00000000000000000000000000000044-4-4-4-444000000000000−4i4i000000000000000000000000000000
χ494-4-444-44-400000000000000004i−4i000000000000000000000000004-4-444-44-400000000000000004i−4i00000000000000000000000000
χ504-4-444-44-40000000000000000−4i4i000000000000000000000000004-4-444-44-40000000000000000−4i4i00000000000000000000000000
χ514-4-4-444-440000000000000000004-40000000000000000000000004-4-4-444-440000000000000000004-4000000000000000000000000
χ524-4-4-444-44000000000000000000-440000000000000000000000004-4-4-444-44000000000000000000-44000000000000000000000000
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
χ6111111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111
χ6211111111-1-1-1-111-1-1-1-11111-1-111-1-111-1-111-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-111-1-11111-1-111-1-111-1-111-1-1
χ6311111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1
χ6411111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-111-1-111-1-1-1-111-1-111
χ6511111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ6611111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111
χ6711111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ6811111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ69222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000
χ70222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000
χ7122222222-2-2-2-2-2-22222-2-222-2-2-2-222000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000
χ7222222222-2-2-2-2-2-22222-2-2-2-22222-2-2000000000000000000000000-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-222000000000000000000000000
χ73222-22-2-2-222-2-22222-2-2-2-200000000000000002-22-2000000000000-2-2-22-2222-2-222-2-2-2-222220000000000000000-22-22000000000000
χ74222-22-2-2-222-2-22222-2-2-2-20000000000000000-22-22000000000000-2-2-22-2222-2-222-2-2-2-2222200000000000000002-22-2000000000000
χ75222-22-2-2-222-2-2-2-2-2-22222000000000000000000002i−2i2i−2i00000000-2-2-22-2222-2-2222222-2-2-2-200000000000000000000−2i2i−2i2i00000000
χ76222-22-2-2-222-2-2-2-2-2-2222200000000000000000000−2i2i−2i2i00000000-2-2-22-2222-2-2222222-2-2-2-2000000000000000000002i−2i2i−2i00000000
χ77222-22-2-2-2-2-22222-2-222-2-200000000000000002-2-22000000000000-2-2-22-222222-2-2-2-222-2-2220000000000000000-222-2000000000000
χ78222-22-2-2-2-2-22222-2-222-2-20000000000000000-222-2000000000000-2-2-22-222222-2-2-2-222-2-22200000000000000002-2-22000000000000
χ79222-22-2-2-2-2-222-2-222-2-222000000000000000000002i−2i−2i2i00000000-2-2-22-222222-2-222-2-222-2-200000000000000000000−2i2i2i−2i00000000
χ80222-22-2-2-2-2-222-2-222-2-22200000000000000000000−2i2i2i−2i00000000-2-2-22-222222-2-222-2-222-2-2000000000000000000002i−2i−2i2i00000000
χ812-222-2-2-222-22-22-22-22-22-20000000000002i−2i2i−2i0000000000000000-22-2-2222-2-22-22-22-22-22-22000000000000−2i2i−2i2i0000000000000000
χ822-222-2-2-222-22-22-22-22-22-2000000000000−2i2i−2i2i0000000000000000-22-2-2222-2-22-22-22-22-22-220000000000002i−2i2i−2i0000000000000000
χ832-222-2-2-222-22-2-22-22-22-22000000002i−2i2i−2i00000000000000000000-22-2-2222-2-22-222-22-22-22-200000000−2i2i−2i2i00000000000000000000
χ842-222-2-2-222-22-2-22-22-22-2200000000−2i2i−2i2i00000000000000000000-22-2-2222-2-22-222-22-22-22-2000000002i−2i2i−2i00000000000000000000
χ852-222-2-2-22-22-222-2-22-222-20000000000002i−2i−2i2i0000000000000000-22-2-2222-22-22-2-222-22-2-22000000000000−2i2i2i−2i0000000000000000
χ862-222-2-2-22-22-222-2-22-222-2000000000000−2i2i2i−2i0000000000000000-22-2-2222-22-22-2-222-22-2-220000000000002i−2i−2i2i0000000000000000
χ872-222-2-2-22-22-22-222-22-2-22000000002i−2i−2i2i00000000000000000000-22-2-2222-22-22-22-2-22-222-200000000−2i2i2i−2i00000000000000000000
χ882-222-2-2-22-22-22-222-22-2-2200000000−2i2i2i−2i00000000000000000000-22-2-2222-22-22-22-2-22-222-2000000002i−2i−2i2i00000000000000000000
χ892-22-2-222-22-2-222-22-2-22-2200000000000000000000000000002i−2i2i−2i-22-222-2-22-222-2-22-222-22-20000000000000000000000000000−2i2i−2i2i
χ902-22-2-222-22-2-222-22-2-22-220000000000000000000000000000−2i2i−2i2i-22-222-2-22-222-2-22-222-22-200000000000000000000000000002i−2i2i−2i
χ912-22-2-222-22-2-22-22-222-22-20000000000000000000000002i−2i2i−2i0000-22-222-2-22-222-22-22-2-22-22000000000000000000000000−2i2i−2i2i0000
χ922-22-2-222-22-2-22-22-222-22-2000000000000000000000000−2i2i−2i2i0000-22-222-2-22-222-22-22-2-22-220000000000000000000000002i−2i2i−2i0000
χ932-22-2-222-2-222-22-2-222-2-2200000000000000000000000000002i−2i−2i2i-22-222-2-222-2-22-222-2-222-20000000000000000000000000000−2i2i2i−2i
χ942-22-2-222-2-222-22-2-222-2-220000000000000000000000000000−2i2i2i−2i-22-222-2-222-2-22-222-2-222-200000000000000000000000000002i−2i−2i2i
χ952-22-2-222-2-222-2-222-2-222-20000000000000000000000002i−2i−2i2i0000-22-222-2-222-2-222-2-222-2-22000000000000000000000000−2i2i2i−2i0000
χ962-22-2-222-2-222-2-222-2-222-2000000000000000000000000−2i2i2i−2i0000-22-222-2-222-2-222-2-222-2-220000000000000000000000002i−2i−2i2i0000
χ9744-44-44-4-4000000000000004-40000000000000000000000000000-4-44-44-44400000000000000-440000000000000000000000000000
χ9844-44-44-4-400000000000000-440000000000000000000000000000-4-44-44-444000000000000004-40000000000000000000000000000
χ9944-4-4-4-4440000000000004i−4i000000000000000000000000000000-4-44444-4-4000000000000−4i4i000000000000000000000000000000
χ10044-4-4-4-444000000000000−4i4i000000000000000000000000000000-4-44444-4-40000000000004i−4i000000000000000000000000000000
χ1014-4-444-44-400000000000000004i−4i00000000000000000000000000-444-4-44-440000000000000000−4i4i00000000000000000000000000
χ1024-4-444-44-40000000000000000−4i4i00000000000000000000000000-444-4-44-4400000000000000004i−4i00000000000000000000000000
χ1034-4-4-444-440000000000000000004-4000000000000000000000000-4444-4-44-4000000000000000000-44000000000000000000000000
χ1044-4-4-444-44000000000000000000-44000000000000000000000000-4444-4-44-40000000000000000004-4000000000000000000000000

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