Finite Group Databasebeta

← Group #96705

Character table — Group #96705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111111111111111111111222222222222222244444444444444444444444444444444444444444444444488888888888888888888888888888888
order12222222444444444444444444444444444444444444444488888888888888888888888888888888888888888888888844444444888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ10111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii
χ11111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ12111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii
χ13111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ14111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i
χ15111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ16111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i
χ1711111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1811111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ1911111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ2011111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111-1-111ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii
χ2111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-111-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ2211111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111-1-111−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i
χ2311111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ2411111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ2511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ2611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ2711111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ2811111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ2911111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ3011111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ3111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ3211111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-222-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-22222-2-222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ4122-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζi2i2−i2−i2i2i2−i2−i222−2−222−2−21+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00000000000000000000000000000000
χ4222-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ−i2−i2i2i2−i2−i2i2i2−2−222−2−222−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00000000000000000000000000000000
χ4322-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζi2i2−i2−i2i2i2−i2−i222−2−222−2−2−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00000000000000000000000000000000
χ4422-2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ−i2−i2i2i2−i2−i2i2i2−2−222−2−2221+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00000000000000000000000000000000
χ4522-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3i2i2−i2−i2i2i2−i2−i2−2−222−2−2221−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00000000000000000000000000000000
χ4622-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3−i2−i2i2i2−i2−i2i2i222−2−222−2−2−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00000000000000000000000000000000
χ4722-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3i2i2−i2−i2i2i2−i2−i2−2−222−2−222−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00000000000000000000000000000000
χ4822-2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3−i2−i2i2i2−i2−i2i2i222−2−222−2−21−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00000000000000000000000000000000
χ4922-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000002ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ322−2−2−2−222−i2−i2i2i2i2i2−i2−i21+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ5022-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000002ζ−2ζ−2ζ2ζ−2ζ32ζ32ζ3−2ζ3−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ5122-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ322−2−2−2−222−i2−i2i2i2i2i2−i2−i2−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i00000000000000000000000000000000
χ5222-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i000000000000000000000000−2ζ2ζ2ζ−2ζ2ζ3−2ζ3−2ζ32ζ3−2−22222−2−2i2i2−i2−i2−i2−i2i2i21+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i00000000000000000000000000000000
χ5322-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ22−2−2−2−222i2i2−i2−i2−i2−i2i2i2−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i00000000000000000000000000000000
χ5422-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000002ζ3−2ζ3−2ζ32ζ3−2ζ2ζ2ζ−2ζ−2−22222−2−2−i2−i2i2i2i2i2−i2−i21−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i00000000000000000000000000000000
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χ1142-2-22-222-2−2i2i2i−2i2i−2i−2i2i-222-22i−2i−2i2i−2i2i2i−2i2-2-222-2-222-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000000000000000−2i2i2-2-222i−2i000000000000000000000000
χ1152-2-22-222-2−2i2i2i−2i2i−2i−2i2i-222-22i−2i−2i2i−2i2i2i−2i2-2-22-222-2-222-22i−2i−2i2i−2i2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000002-22i−2i−2i2i-22
χ1162-2-22-222-2−2i2i2i−2i2i−2i−2i2i-222-22i−2i−2i2i−2i2i2i−2i2-2-22-222-2-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000-22−2i2i2i−2i2-2
χ1172-2-22-222-2−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i2i−2i−2i2i-222-22-2-22-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000000000002i−2i-22-222i−2i000000000000000000000000
χ1182-2-22-222-2−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i2i−2i−2i2i-222-22-2-22-222-2−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000000000000000−2i2i2-22-2−2i2i000000000000000000000000
χ1192-2-22-222-2−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i2i−2i−2i2i-222-2-222-22-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000002i−2i-22-222i−2i
χ1202-2-22-222-2−2i2i2i−2i−2i2i2i−2i2-2-222i−2i−2i2i2i−2i−2i2i-222-2-222-22-2-222i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000−2i2i2-22-2−2i2i
χ1214444-4-4-4-444444444-4-4-4-4-4-4-4-4-4-4-4-44444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224444-4-4-4-44444-4-4-4-44444-4-4-4-44444-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234444-4-4-4-4-4-4-4-4444444444444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1244444-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4444444444444000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-44-4-44-444i−4i4i−4i4-44-4−4i4i−4i4i−4i4i−4i4i-44-444i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-44-4-44-444i−4i4i−4i-44-444i−4i4i−4i−4i4i−4i4i4-44-4−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-44-4-44-44−4i4i−4i4i4-44-44i−4i4i−4i4i−4i4i−4i-44-44−4i4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-44-4-44-44−4i4i−4i4i-44-44−4i4i−4i4i4i−4i4i−4i4-44-44i−4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.