Finite Group Databasebeta

← Group #357448

Character table — Group #357448

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222222222444444448888888888888888888888881111111122222222222244444444888888888888888888888888
order12222222222244444444444444442222444444444444888888882222222222224444444444444444222244444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
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
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ9111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i
χ10111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii
χ11111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii
χ12111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i
χ13111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-1-111−i−iii−i−iii111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-1-111−i−iii−i−iii
χ14111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii-1-111ii−i−iii−i−i111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii-1-111ii−i−iii−i−i
χ15111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i
χ16111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iii111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iii
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
χ1922222222-2-2-2-222-2-22-22-200000000000000002-22-200000000000022222222-2-2-2-222-2-22-22-200000000000000002-22-2000000000000
χ2022222222-2-2-2-222-2-22-22-20000000000000000-22-2200000000000022222222-2-2-2-222-2-22-22-20000000000000000-22-22000000000000
χ2122222222-2-2-2-2-2-222-22-220000000000002-22-2000000000000000022222222-2-2-2-2-2-222-22-220000000000002-22-20000000000000000
χ2222222222-2-2-2-2-2-222-22-22000000000000-22-22000000000000000022222222-2-2-2-2-2-222-22-22000000000000-22-220000000000000000
χ23222-2-2-2-222-2-22-2-2-2-22222000000002-2-2200000000000000000000222-2-2-2-222-2-22-2-2-2-22222000000002-2-2200000000000000000000
χ24222-2-2-2-222-2-22-2-2-2-2222200000000-222-200000000000000000000222-2-2-2-222-2-22-2-2-2-2222200000000-222-200000000000000000000
χ25222-2-2-2-22-222-222-2-2-22-2200000000000000002i−2i−2i2i000000000000222-2-2-2-22-222-222-2-2-22-2200000000000000002i−2i−2i2i000000000000
χ26222-2-2-2-22-222-222-2-2-22-220000000000000000−2i2i2i−2i000000000000222-2-2-2-22-222-222-2-2-22-220000000000000000−2i2i2i−2i000000000000
χ27222-2-2-2-22-222-2-2-2222-22-20000000000002i−2i−2i2i0000000000000000222-2-2-2-22-222-2-2-2222-22-20000000000002i−2i−2i2i0000000000000000
χ28222-2-2-2-22-222-2-2-2222-22-2000000000000−2i2i2i−2i0000000000000000222-2-2-2-22-222-2-2-2222-22-2000000000000−2i2i2i−2i0000000000000000
χ292-2-222-2-2222-2-22-22-222-2-20000000000000000000000002i−2i2i−2i00002-2-222-2-2222-2-22-22-222-2-20000000000000000000000002i−2i2i−2i0000
χ302-2-222-2-2222-2-22-22-222-2-2000000000000000000000000−2i2i−2i2i00002-2-222-2-2222-2-22-22-222-2-2000000000000000000000000−2i2i−2i2i0000
χ312-2-222-2-2222-2-2-22-22-2-22200000000000000000000000000002-22-22-2-222-2-2222-2-2-22-22-2-22200000000000000000000000000002-22-2
χ322-2-222-2-2222-2-2-22-22-2-2220000000000000000000000000000-22-222-2-222-2-2222-2-2-22-22-2-2220000000000000000000000000000-22-22
χ332-2-222-2-22-2-2222-2-222-2-22000000000000000000002-22-2000000002-2-222-2-22-2-2222-2-222-2-22000000000000000000002-22-200000000
χ342-2-222-2-22-2-2222-2-222-2-2200000000000000000000-22-22000000002-2-222-2-22-2-2222-2-222-2-2200000000000000000000-22-2200000000
χ352-2-222-2-22-2-222-222-2-222-222-2-222-2-20000000000000000000000002-2-222-2-22-2-222-222-2-222-222-2-222-2-2000000000000000000000000
χ362-2-222-2-22-2-222-222-2-222-2-2-222-2-2220000000000000000000000002-2-222-2-22-2-222-222-2-222-2-2-222-2-222000000000000000000000000
χ372-2-2-2-22222-22-22-22-2-2-2220000000000000000000000002-2-2200002-2-2-2-22222-22-22-22-2-2-2220000000000000000000000002-2-220000
χ382-2-2-2-22222-22-22-22-2-2-222000000000000000000000000-222-200002-2-2-2-22222-22-22-22-2-2-222000000000000000000000000-222-20000
χ392-2-2-2-22222-22-2-22-2222-2-200000000000000000000000000002i−2i−2i2i2-2-2-2-22222-22-2-22-2222-2-200000000000000000000000000002i−2i−2i2i
χ402-2-2-2-22222-22-2-22-2222-2-20000000000000000000000000000−2i2i2i−2i2-2-2-2-22222-22-2-22-2222-2-20000000000000000000000000000−2i2i2i−2i
χ412-2-2-2-2222-22-222-2-22-222-2000000000000000000002-2-22000000002-2-2-2-2222-22-222-2-22-222-2000000000000000000002-2-2200000000
χ422-2-2-2-2222-22-222-2-22-222-200000000000000000000-222-2000000002-2-2-2-2222-22-222-2-22-222-200000000000000000000-222-200000000
χ432-2-2-2-2222-22-22-222-22-2-2222-2-2-2-2220000000000000000000000002-2-2-2-2222-22-22-222-22-2-2222-2-2-2-222000000000000000000000000
χ442-2-2-2-2222-22-22-222-22-2-22-2-22222-2-20000000000000000000000002-2-2-2-2222-22-22-222-22-2-22-2-22222-2-2000000000000000000000000
χ4544-44-44-4-40000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000044-44-44-4-40000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4644-44-44-4-4000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000044-44-44-4-4000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4744-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000044-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ4844-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000044-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ494-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000004-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ504-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000004-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ514-44-444-4-40000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000004-44-444-4-40000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ524-44-444-4-4000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000004-44-444-4-4000000000000−2i2i2i−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
χ5411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111
χ551111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111
χ561111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ5711111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
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
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11111-1-111−i−iii−i−iii-1-111−i−iii−i−iii
χ62111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−iii−i−iii-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11111-1-111ii−i−iii−i−i-1-111ii−i−iii−i−i
χ63111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1111111-1-1−i−iiiii−i−i11-1-1−i−iiiii−i−i
χ64111-1-1-1-111-1-111111-1-1-1-11111-1-1-1-1-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1111111-1-1ii−i−i−i−iii11-1-1ii−i−i−i−iii
χ65111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1ii−i−iii−i−i-1-111−i−iii−i−iii-1-1-11111-1-111-1-1-1-1-111111111-1-1-1-1-1-111−i−iii−i−iii11-1-1ii−i−iii−i−i
χ66111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1111111-1-1−i−iii−i−iii-1-111ii−i−iii−i−i-1-1-11111-1-111-1-1-1-1-111111111-1-1-1-1-1-111ii−i−iii−i−i11-1-1−i−iii−i−iii
χ67111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-111ii−i−i−i−iii11-1-1−i−iiiii−i−i-1-1-11111-1-111-1-1-1-1-111111111-1-1-1-111-1-1−i−iiiii−i−i-1-111ii−i−i−i−iii
χ68111-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111-1-111−i−iiiii−i−i11-1-1ii−i−i−i−iii-1-1-11111-1-111-1-1-1-1-111111111-1-1-1-111-1-1ii−i−i−i−iii-1-111−i−iiiii−i−i
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
χ7122222222-2-2-2-222-2-22-22-200000000000000002-22-2000000000000-2-2-2-2-2-2-2-22222-2-222-22-220000000000000000-22-22000000000000
χ7222222222-2-2-2-222-2-22-22-20000000000000000-22-22000000000000-2-2-2-2-2-2-2-22222-2-222-22-2200000000000000002-22-2000000000000
χ7322222222-2-2-2-2-2-222-22-220000000000002-22-20000000000000000-2-2-2-2-2-2-2-2222222-2-22-22-2000000000000-22-220000000000000000
χ7422222222-2-2-2-2-2-222-22-22000000000000-22-220000000000000000-2-2-2-2-2-2-2-2222222-2-22-22-20000000000002-22-20000000000000000
χ75222-2-2-2-222-2-22-2-2-2-22222000000002-2-2200000000000000000000-2-2-22222-2-222-22222-2-2-2-200000000-222-200000000000000000000
χ76222-2-2-2-222-2-22-2-2-2-2222200000000-222-200000000000000000000-2-2-22222-2-222-22222-2-2-2-2000000002-2-2200000000000000000000
χ77222-2-2-2-22-222-222-2-2-22-2200000000000000002i−2i−2i2i000000000000-2-2-22222-22-2-22-2-2222-22-20000000000000000−2i2i2i−2i000000000000
χ78222-2-2-2-22-222-222-2-2-22-220000000000000000−2i2i2i−2i000000000000-2-2-22222-22-2-22-2-2222-22-200000000000000002i−2i−2i2i000000000000
χ79222-2-2-2-22-222-2-2-2222-22-20000000000002i−2i−2i2i0000000000000000-2-2-22222-22-2-2222-2-2-22-22000000000000−2i2i2i−2i0000000000000000
χ80222-2-2-2-22-222-2-2-2222-22-2000000000000−2i2i2i−2i0000000000000000-2-2-22222-22-2-2222-2-2-22-220000000000002i−2i−2i2i0000000000000000
χ812-2-222-2-2222-2-22-22-222-2-20000000000000000000000002i−2i2i−2i0000-222-2-222-2-2-222-22-22-2-222000000000000000000000000−2i2i−2i2i0000
χ822-2-222-2-2222-2-22-22-222-2-2000000000000000000000000−2i2i−2i2i0000-222-2-222-2-2-222-22-22-2-2220000000000000000000000002i−2i2i−2i0000
χ832-2-222-2-2222-2-2-22-22-2-22200000000000000000000000000002-22-2-222-2-222-2-2-2222-22-222-2-20000000000000000000000000000-22-22
χ842-2-222-2-2222-2-2-22-22-2-2220000000000000000000000000000-22-22-222-2-222-2-2-2222-22-222-2-200000000000000000000000000002-22-2
χ852-2-222-2-22-2-2222-2-222-2-22000000000000000000002-22-200000000-222-2-222-222-2-2-222-2-222-200000000000000000000-22-2200000000
χ862-2-222-2-22-2-2222-2-222-2-2200000000000000000000-22-2200000000-222-2-222-222-2-2-222-2-222-2000000000000000000002-22-200000000
χ872-2-222-2-22-2-222-222-2-222-222-2-222-2-2000000000000000000000000-222-2-222-222-2-22-2-222-2-22-2-222-2-222000000000000000000000000
χ882-2-222-2-22-2-222-222-2-222-2-2-222-2-222000000000000000000000000-222-2-222-222-2-22-2-222-2-2222-2-222-2-2000000000000000000000000
χ892-2-2-2-22222-22-22-22-2-2-2220000000000000000000000002-2-220000-22222-2-2-2-22-22-22-2222-2-2000000000000000000000000-222-20000
χ902-2-2-2-22222-22-22-22-2-2-222000000000000000000000000-222-20000-22222-2-2-2-22-22-22-2222-2-20000000000000000000000002-2-220000
χ912-2-2-2-22222-22-2-22-2222-2-200000000000000000000000000002i−2i−2i2i-22222-2-2-2-22-222-22-2-2-2220000000000000000000000000000−2i2i2i−2i
χ922-2-2-2-22222-22-2-22-2222-2-20000000000000000000000000000−2i2i2i−2i-22222-2-2-2-22-222-22-2-2-22200000000000000000000000000002i−2i−2i2i
χ932-2-2-2-2222-22-222-2-22-222-2000000000000000000002-2-2200000000-22222-2-2-22-22-2-222-22-2-2200000000000000000000-222-200000000
χ942-2-2-2-2222-22-222-2-22-222-200000000000000000000-222-200000000-22222-2-2-22-22-2-222-22-2-22000000000000000000002-2-2200000000
χ952-2-2-2-2222-22-22-222-22-2-2222-2-2-2-222000000000000000000000000-22222-2-2-22-22-22-2-22-222-2-2-22222-2-2000000000000000000000000
χ962-2-2-2-2222-22-22-222-22-2-22-2-22222-2-2000000000000000000000000-22222-2-2-22-22-22-2-22-222-222-2-2-2-222000000000000000000000000
χ9744-44-44-4-40000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000-4-44-44-444000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ9844-44-44-4-4000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000-4-44-44-4440000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ9944-4-44-44-40000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000-4-444-44-44000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ10044-4-44-44-4000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000-4-444-44-440000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ1014-444-4-44-40000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000-44-4-444-44000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ1024-444-4-44-4000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000-44-4-444-440000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ1034-44-444-4-40000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000-44-44-4-444000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ1044-44-444-4-4000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000-44-44-4-4440000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000

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