Finite Group Databasebeta

← Group #155652

Character table — Group #155652

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111111111111111111111444444444444444444444444888888888888888888888888888888888888888888888888
order12222222222222222222222222222222222222224444444444444444222222224444444444444444444444444444444444444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ911111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ1011111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ1111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111
χ1211111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111111111
χ1311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ1511111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i11-1-111-1-1
χ1811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii11-1-111-1-1
χ1911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii-1-111-1-111
χ2011111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i-1-111-1-111
χ2111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111
χ2211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111
χ2311111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i-1-11111-1-1
χ2411111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii-1-11111-1-1
χ2511111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii-1-111-1-111
χ2611111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111
χ2711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1
χ2811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1
χ2911111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ3011111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ3111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ3211111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiiii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ3322222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000002i−2i2i−2i2-22-2000000000000
χ3422222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000−2i2i−2i2i-22-22000000000000
χ3522222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000002i−2i2i−2i-22-22000000000000
χ3622222222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000−2i2i−2i2i2-22-2000000000000
χ3722222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000002-2-22−2i2i2i−2i000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000-222-22i−2i−2i2i000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002-2-222i−2i−2i2i000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000-222-2−2i2i2i−2i000000000000
χ412222-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000002-22-2000000002i−2i2i−2i00000000
χ422222-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-200000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000-22-2200000000−2i2i−2i2i00000000
χ432222-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000002-22-200000000−2i2i−2i2i00000000
χ442222-2-2-2-22222-2-222-2-222-2-222-2-222-2-2-2-20000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000-22-22000000002i−2i2i−2i00000000
χ452222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000000000002i−2i−2i2i00000000-222-200000000
χ462222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-200000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000−2i2i2i−2i000000002-2-2200000000
χ472222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000000000002i−2i−2i2i000000002-2-2200000000
χ482222-2-2-2-22222-2-2-2-222-2-222-2-222-2-222-2-20000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000−2i2i2i−2i00000000-222-200000000
χ492222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-222-2-222-2-222-2-22-2-222-2-22000000000000000000000000000000000000000000000000
χ502222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-222-2-2-2-222-2-222-222-2-222-2000000000000000000000000000000000000000000000000
χ512222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-22222-2-222-2-2-222-2-222-2000000000000000000000000000000000000000000000000
χ522222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-222-2-222-2-222-2-2222-2-222-2-22000000000000000000000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-22222-2-2-2-22222-2-2-2-2222-2-22-222-2000000000000000000000000000000000000000000000000
χ542222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-22222-2-2-2-222-2-22222-2-2-222-22-2-22000000000000000000000000000000000000000000000000
χ552222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-222-2-22222-2-222-2-2-2-222-222-22-2-22000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-222-2-22222-2-2-2-22222-2-222-2-22222-2-2-2-22222-2-22-2-22-222-2000000000000000000000000000000000000000000000000
χ5722-2-222-2-222-2-22-22-222222-22-2-2-2-2-22-22-22-22-22-22-2000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ5822-2-222-2-222-2-22-22-222222-22-2-2-2-2-22-22-22-22-22-22-200000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ5922-2-222-2-222-2-22-22-222222-22-2-2-2-2-22-22-2-22-22-22-22000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ6022-2-222-2-222-2-22-22-222222-22-2-2-2-2-22-22-2-22-22-22-2200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ6122-2-222-2-222-2-22-2-22-2-2-2-2-22-222222-222-22-22-2-22-22000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ6222-2-222-2-222-2-22-2-22-2-2-2-2-22-222222-222-22-22-2-22-2200000000000000000000000000000000-222-2-222-2000000000000000000000000
χ6322-2-222-2-222-2-22-2-22-2-2-2-2-22-222222-222-2-22-222-22-2000000000000000000000000000000002-2-22-222-2000000000000000000000000
χ6422-2-222-2-222-2-22-2-22-2-2-2-2-22-222222-222-2-22-222-22-200000000000000000000000000000000-222-22-2-22000000000000000000000000
χ6522-2-2-2-222-2-2222-22-2-2-2-2-22-22-222222-22-22-2-222-2-220000000000000000000000002-22-22-22-200000000000000000000000000000000
χ6622-2-2-2-222-2-2222-22-2-2-2-2-22-22-222222-22-22-2-222-2-22000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ6722-2-2-2-222-2-2222-22-2-2-2-2-22-22-222222-22-2-222-2-222-20000000000000000000000002-22-2-22-2200000000000000000000000000000000
χ6822-2-2-2-222-2-2222-22-2-2-2-2-22-22-222222-22-2-222-2-222-2000000000000000000000000-22-222-22-200000000000000000000000000000000
χ6922-2-2-2-222-2-2222-2-222222-22-22-2-2-2-2-222-22-2-22-222-20000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ7022-2-2-2-222-2-2222-2-222222-22-22-2-2-2-2-222-22-2-22-222-2000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ7122-2-2-2-222-2-2222-2-222222-22-22-2-2-2-2-222-2-222-22-2-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ7222-2-2-2-222-2-2222-2-222222-22-22-2-2-2-2-222-2-222-22-2-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ732-22-22-22-22-22-2-2-2222-22-2-2-2-2-22-22-22222000000002-22-22-22-20000000000000000000000000000000000000000000000002-22-22-22-2
χ742-22-22-22-22-22-2-2-2222-22-2-2-2-2-22-22-22222000000002-22-22-22-2000000000000000000000000000000000000000000000000-22-22-22-22
χ752-22-22-22-22-22-2-2-2222-22-2-2-2-2-22-22-2222200000000-22-22-22-220000000000000000000000000000000000000000000000002-22-2-22-22
χ762-22-22-22-22-22-2-2-2222-22-2-2-2-2-22-22-2222200000000-22-22-22-22000000000000000000000000000000000000000000000000-22-222-22-2
χ772-22-22-22-22-22-2-2-2-2-2-22-222222-22-22-2-222000000002-22-2-22-220000000000000000000000000000000000000000000000002-2-222-2-22
χ782-22-22-22-22-22-2-2-2-2-2-22-222222-22-22-2-222000000002-22-2-22-22000000000000000000000000000000000000000000000000-222-2-222-2
χ792-22-22-22-22-22-2-2-2-2-2-22-222222-22-22-2-22200000000-22-222-22-20000000000000000000000000000000000000000000000002-2-22-222-2
χ802-22-22-22-22-22-2-2-2-2-2-22-222222-22-22-2-22200000000-22-222-22-2000000000000000000000000000000000000000000000000-222-22-2-22
χ812-22-2-22-22-22-22-2-222-22-22-2-2-2-2-22-222222000000002-2-222-2-22000000002-22-22-22-20000000000000000000000000000000000000000
χ822-22-2-22-22-22-22-2-222-22-22-2-2-2-2-22-222222000000002-2-222-2-2200000000-22-22-22-220000000000000000000000000000000000000000
χ832-22-2-22-22-22-22-2-222-22-22-2-2-2-2-22-22222200000000-222-2-222-2000000002-22-2-22-220000000000000000000000000000000000000000
χ842-22-2-22-22-22-22-2-222-22-22-2-2-2-2-22-22222200000000-222-2-222-200000000-22-222-22-20000000000000000000000000000000000000000
χ852-22-2-22-22-22-22-2-2-2-22-22-222222-22-2-2-222000000002-2-22-222-2000000002-2-222-2-220000000000000000000000000000000000000000
χ862-22-2-22-22-22-22-2-2-2-22-22-222222-22-2-2-222000000002-2-22-222-200000000-222-2-222-20000000000000000000000000000000000000000
χ872-22-2-22-22-22-22-2-2-2-22-22-222222-22-2-2-22200000000-222-22-2-22000000002-2-22-222-20000000000000000000000000000000000000000
χ882-22-2-22-22-22-22-2-2-2-22-22-222222-22-2-2-22200000000-222-22-2-2200000000-222-22-2-220000000000000000000000000000000000000000
χ8944-4-444-4-4-4-444-444-444-4-4-444-4-4-444-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-4-4-444-44-44-4-4444-4-4444-4-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-44444-4-4-444-4-4-444-444-444-4-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-44444-4-4-44-4444-4-44-4-44-4-4444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44-44-4-44-4444444-4-4444-4-44-4-44-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-44-4-44-4444-4-4-444-4-4-444-444-444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-444-44-44444-444-444-4-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-444-44-444-4-44-4-44-4-4444-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-444-4-44-444-44-44-4-44-44-44-444-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444-4-44-44-44-44-444-44-44-44-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44-444-44-44-44-4-444-4-44-444-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44-444-44-4-44-444-4-444-44-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44-4-444-44-4-444-44-4-444-4-44-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-44-4-444-4-444-4-44-444-4-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4-444-4-444-4-44-44-44-444-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-4-444-4-44-444-44-44-44-4-44-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000

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