Finite Group Databasebeta

← Group #358222

Character table — Group #358222

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222222222222222222244444444444444448888888888888888444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1711111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ1911111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ2011111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ2111111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2211111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2311111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2411111-1-1-1-11-1-111-1-11111-1-1-1-1111-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-11111−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2511111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ2611111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii
χ2711111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ2811111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i
χ2911111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i
χ3011111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i
χ3111111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii
χ3211111-1-1-1-11-1-111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii
χ33222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000002-22-22-22-20000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-22-22-22-220000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-200000000000000002-22-2-22-220000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-20000000000000000-22-222-22-20000000000000000000000000000000000000000
χ3722222-2-2-2-22-2-222-2-22222-2-2-2-2-2-2-2222-2-2-2-22222-2200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ3822222-2-2-2-22-2-222-2-22222-2-2-2-2-2-2-2222-2-2-2-22222-220000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ3922222-2-2-2-22-2-222-2-2-2-2-2-22222-2-2-22222222-2-2-2-2-2200000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000
χ4022222-2-2-2-22-2-222-2-2-2-2-2-22222-2-2-22222222-2-2-2-2-220000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000000000000000
χ41222-2-222222-2-2-2-2-2-222-2-222-2-222-22-2-222-2-222-2-2-22000000000000000000000000000000000000000000000000000000002-22-22-22-2
χ42222-2-222222-2-2-2-2-2-222-2-222-2-222-22-2-222-2-222-2-2-2200000000000000000000000000000000000000000000000000000000-22-22-22-22
χ43222-2-222222-2-2-2-2-2-222-2-222-2-2-2-22-222-2-222-2-2222-222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ44222-2-222222-2-2-2-2-2-222-2-222-2-2-2-22-222-2-222-2-2222-2-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ45222-2-222222-2-2-2-2-2-2-2-222-2-22222-22-2-2-2-222-2-222-22000000000000000000000000000000000000000000000000000000002-22-2-22-22
χ46222-2-222222-2-2-2-2-2-2-2-222-2-22222-22-2-2-2-222-2-222-2200000000000000000000000000000000000000000000000000000000-22-222-22-2
χ47222-2-222222-2-2-2-2-2-2-2-222-2-222-2-22-22222-2-222-2-22-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ48222-2-222222-2-2-2-2-2-2-2-222-2-222-2-22-22222-2-222-2-22-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ49222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-22222-2-2-2-222-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i
χ50222-2-2-2-2-2-2222-2-22222-2-2-2-22222-2-22222-2-2-2-222-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i
χ51222-2-2-2-2-2-2222-2-22222-2-2-2-222-2-222-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ52222-2-2-2-2-2-2222-2-22222-2-2-2-222-2-222-2-2-2-22222-2-222-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ53222-2-2-2-2-2-2222-2-222-2-22222-2-222-2-222-2-22222-2-2-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ54222-2-2-2-2-2-2222-2-222-2-22222-2-222-2-222-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ55222-2-2-2-2-2-2222-2-222-2-22222-2-2-2-222-2-222-2-2-2-2222222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ56222-2-2-2-2-2-2222-2-222-2-22222-2-2-2-222-2-222-2-2-2-22222-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ572-2-22-222-2-22222-2-2-22-22-22-22-22-22-22-22-22-22-22-2-22000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-2-22-222-2-22222-2-2-22-22-22-22-22-22-22-22-22-22-22-2-2200000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-2-22-222-2-22222-2-2-22-22-22-22-2-22-22-22-22-22-22-222-20000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000
χ602-2-22-222-2-22222-2-2-22-22-22-22-2-22-22-22-22-22-22-222-2000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000
χ612-2-22-222-2-22222-2-2-2-22-22-22-222-22-22-2-22-22-22-22-22000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ622-2-22-222-2-22222-2-2-2-22-22-22-222-22-22-2-22-22-22-22-2200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ632-2-22-222-2-22222-2-2-2-22-22-22-22-22-22-222-22-22-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ642-2-22-222-2-22222-2-2-2-22-22-22-22-22-22-222-22-22-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ652-2-22-2-2-2222-2-22-2222-22-2-22-222-222-222-22-2-22-22-2-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ662-2-22-2-2-2222-2-22-2222-22-2-22-222-222-222-22-2-22-22-2-200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ672-2-22-2-2-2222-2-22-2222-22-2-22-22-22-2-22-2-22-222-22-2220000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ682-2-22-2-2-2222-2-22-2222-22-2-22-22-22-2-22-2-22-222-22-222000000000000000000000000000000000000000000000000-222-2-222-200000000
χ692-2-22-2-2-2222-2-22-222-22-222-22-22-222-22-22-222-22-2-2-2000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ702-2-22-2-2-2222-2-22-222-22-222-22-22-222-22-22-222-22-2-2-200000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ712-2-22-2-2-2222-2-22-222-22-222-22-2-22-2-22-22-22-2-22-22220000000000000000000000000000000000000000000000002-2-22-222-200000000
χ722-2-22-2-2-2222-2-22-222-22-222-22-2-22-2-22-22-22-2-22-2222000000000000000000000000000000000000000000000000-222-22-2-2200000000
χ732-2-2-2222-2-22-2-2-22222-2-222-2-222-2-2-2-222-2-222-2-222200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ742-2-2-2222-2-22-2-2-22222-2-222-2-222-2-2-2-222-2-222-2-22220000000000000000000000000000000000000000-22-22-22-220000000000000000
χ752-2-2-2222-2-22-2-2-22222-2-222-2-22-22222-2-222-2-222-2-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ762-2-2-2222-2-22-2-2-22222-2-222-2-22-22222-2-222-2-222-2-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ772-2-2-2222-2-22-2-2-2222-222-2-222-22-2-2-2-22-222-2-222-22200000000000000000000000000000000000000002-22-2-22-220000000000000000
χ782-2-2-2222-2-22-2-2-2222-222-2-222-22-2-2-2-22-222-2-222-2220000000000000000000000000000000000000000-22-222-22-20000000000000000
χ792-2-2-2222-2-22-2-2-2222-222-2-222-2-22222-22-2-222-2-22-2-20000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ802-2-2-2222-2-22-2-2-2222-222-2-222-2-22222-22-2-222-2-22-2-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ812-2-2-22-2-222222-22-2-22-2-22-222-22-2-222-22-2-22-222-22-200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ822-2-2-22-2-222222-22-2-22-2-22-222-22-2-222-22-2-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ832-2-2-22-2-222222-22-2-22-2-22-222-2-222-2-22-222-22-2-22-220000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ842-2-2-22-2-222222-22-2-22-2-22-222-2-222-2-22-222-22-2-22-22000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ852-2-2-22-2-222222-22-2-2-222-22-2-222-2-222-2-222-22-2-222-200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ862-2-2-22-2-222222-22-2-2-222-22-2-222-2-222-2-222-22-2-222-20000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ872-2-2-22-2-222222-22-2-2-222-22-2-22-222-2-222-2-22-222-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ882-2-2-22-2-222222-22-2-2-222-22-2-22-222-2-222-2-22-222-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ8944-4444-44-4-44-4-4-44-40000000000000000000000000000000022−2222−2222−2222−22000000000000000000000000000000000000000000000000
χ9044-4444-44-4-44-4-4-44-400000000000000000000000000000000−2222−2222−2222−2222000000000000000000000000000000000000000000000000
χ9144-444-44-44-4-44-4-4-440000000000000000000000000000000022−2222−22−2222−2222000000000000000000000000000000000000000000000000
χ9244-444-44-44-4-44-4-4-4400000000000000000000000000000000−2222−222222−2222−22000000000000000000000000000000000000000000000000
χ9344-4-4-44-44-4-4-4444-440000000000000000000000000000000022−22−222222−22−2222000000000000000000000000000000000000000000000000
χ9444-4-4-44-44-4-4-4444-4400000000000000000000000000000000−222222−22−222222−22000000000000000000000000000000000000000000000000
χ9544-4-4-4-44-44-44-4444-40000000000000000000000000000000022−22−2222−222222−22000000000000000000000000000000000000000000000000
χ9644-4-4-4-44-44-44-4444-400000000000000000000000000000000−222222−2222−22−2222000000000000000000000000000000000000000000000000
χ974-444-44-4-44-44-4-44-440000000000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000000000000000000
χ984-444-44-4-44-44-4-44-44000000000000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000000000000000000
χ994-444-4-444-4-4-44-444-40000000000000000000000002i2−2i22i2−2i2−2i22i2−2i22i200000000000000000000000000000000000000000000000000000000
χ1004-444-4-444-4-4-44-444-4000000000000000000000000−2i22i2−2i22i22i2−2i22i2−2i200000000000000000000000000000000000000000000000000000000
χ1014-44-444-4-44-4-444-44-40000000000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000
χ1024-44-444-4-44-4-444-44-4000000000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000
χ1034-44-44-444-4-44-44-4-440000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000
χ1044-44-44-444-4-44-44-4-44000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000

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