Finite Group Databasebeta

← Group #99441

Character table — Group #99441

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222444444444444444444444444444444444444888888888888888888888888444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-111-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111iiii−i−i−i−i-1-1-1-1-1-1-1-11111111111-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-111-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111−i−i−i−iiiii-1-1-1-1-1-1-1-11111111111-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-111ii−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1-1-1-1-111111111-1-111ii−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiiiii−i−i
χ1511111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-111−i−iiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiii−i−i
χ1611111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1-1-1-1-111111111-1-111−i−iiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i−i−iii
χ1711-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i11-1-1ii−i−i1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ31111-1-1-1-1iiii−i−i−i−i1-1i−iζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ1811-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i11-1-1ii−i−i1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-1-1-11111−i−i−i−iiiii1-1i−iζ−ζζ3−ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ1911-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i11-1-1ii−i−i1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ31111-1-1-1-1iiii−i−i−i−i1-1i−i−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3−ζζ−ζ3ζ3
χ2011-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i11-1-1ii−i−i1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-1-1-11111−i−i−i−iiiii1-1i−i−ζζ−ζ3ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3ζ−ζζ3−ζ3
χ2111-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i-1-111−i−iii1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ31111-1-1-1-1iiii−i−i−i−i-11−iiζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ2211-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i-1-111−i−iii1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-1-1-11111−i−i−i−iiiii-11−iiζ−ζζ3−ζ3−ζ−ζζζ−ζ3−ζ3ζ3ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ2311-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i-1-111−i−iii1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ31111-1-1-1-1iiii−i−i−i−i-11−ii−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3ζ−ζζ3−ζ3
χ2411-1-111-1-1ii−i−ii−ii−i1-1ii−i−i11-1-1i−i1-1i−ii−i-1-111−i−iii1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ3-1-1-1-11111−i−i−i−iiiii-11−ii−ζζ−ζ3ζ3ζζ−ζ−ζζ3ζ3−ζ3−ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3−ζζ−ζ3ζ3
χ2511-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii11-1-1−i−iii1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1111-1-1-1-1−i−i−i−iiiii1-1−iiζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ2611-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii11-1-1−i−iii1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-1-1-11111iiii−i−i−i−i1-1−iiζ3−ζ3ζ−ζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ2711-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii11-1-1−i−iii1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ1111-1-1-1-1−i−i−i−iiiii1-1−ii−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ−ζ3ζ3−ζζ
χ2811-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii11-1-1−i−iii1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-1-1-11111iiii−i−i−i−i1-1−ii−ζ3ζ3−ζζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζζ3−ζ3ζ−ζ
χ2911-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii-1-111ii−i−i1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1111-1-1-1-1−i−i−i−iiiii-11i−iζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ3011-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii-1-111ii−i−i1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-1-1-11111iiii−i−i−i−i-11i−iζ3−ζ3ζ−ζ−ζ3−ζ3ζ3ζ3−ζ−ζζζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ3111-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii-1-111ii−i−i1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ1111-1-1-1-1−i−i−i−iiiii-11i−i−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζζ3−ζ3ζ−ζ
χ3211-1-111-1-1−i−iii−ii−ii1-1−i−iii11-1-1−ii1-1−ii−ii-1-111ii−i−i1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ-1-1-1-11111iiii−i−i−i−i-11i−i−ζ3ζ3−ζζζ3ζ3−ζ3−ζ3ζζ−ζ−ζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ−ζ3ζ3−ζζ
χ332222222222222222222222-2-2-2-2-2-222-2-2-2-200000000-2-22222222200000000000000000000-2-2-2-20000000000000000000000000000
χ342222222222222222222222-2-2-2-2-2-222-2-2-2-200000000-2-2-2-2-2-2-2-2-2-20000000000000000000022220000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2222222-2-222-2-222222222-2-2000000000000000000000000-2-2-2-200000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222200000000000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000000022000000000000000000000000000000002-22-22-22-200000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000000002200000000000000000000000000000000-22-22-22-2200000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222200000000-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000−2i−2i2i2i0000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22222222200000000-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000002i2i−2i−2i0000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222222-2-2-2-2-2-2000000000000000000000000-2-22200000000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222-2-2-2-22222-2-200000000000000000000000022-2-200000000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-20000000022000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-2000000002200000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ452222-2-2-2-22-22-222-2-2222-22-2000000-2-2000000000000002-22-22-22-222−2−222−2−222−2−222−2−20000000000000000000000002−22−22−22−20000
χ462222-2-2-2-22-22-222-2-2222-22-2000000-2-2000000000000002-22-22-22-2−2−222−2−222−2−222−2−222000000000000000000000000−22−22−22−220000
χ472222-2-2-2-22-22-222-2-2222-22-2000000-2-200000000000000-22-22-22-2222−2−222−2−222−2−222−2−2000000000000000000000000−22−22−22−220000
χ482222-2-2-2-22-22-222-2-2222-22-2000000-2-200000000000000-22-22-22-22−2−222−2−222−2−222−2−2220000000000000000000000002−22−22−22−20000
χ492222-2-2-2-2-22-22-2-22222-22-22000000-2-2000000000000002i−2i2i−2i−2i2i−2i2i22−2−222−2−2−2−222−2−222000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ502222-2-2-2-2-22-22-2-22222-22-22000000-2-2000000000000002i−2i2i−2i−2i2i−2i2i−2−222−2−22222−2−222−2−2000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ512222-2-2-2-2-22-22-2-22222-22-22000000-2-200000000000000−2i2i−2i2i2i−2i2i−2i22−2−222−2−2−2−222−2−222000000000000000000000000−i2i2−i2i2i2−i2i2−i20000
χ522222-2-2-2-2-22-22-2-22222-22-22000000-2-200000000000000−2i2i−2i2i2i−2i2i−2i−2−222−2−22222−2−222−2−2000000000000000000000000i2−i2i2−i2−i2i2−i2i20000
χ5322-2-222-2-22i2i−2i−2i2i−2i2i−2i2-22i2i−2i−2i-2-222−2i2i2-2−2i2i−2i2i00000000-222ζ2ζ−2ζ−2ζ2ζ32ζ3−2ζ3−2ζ300000000000000000000−2ζ2ζ−2ζ32ζ30000000000000000000000000000
χ5422-2-222-2-22i2i−2i−2i2i−2i2i−2i2-22i2i−2i−2i-2-222−2i2i2-2−2i2i−2i2i00000000-22−2ζ−2ζ2ζ2ζ−2ζ3−2ζ32ζ32ζ3000000000000000000002ζ−2ζ2ζ3−2ζ30000000000000000000000000000
χ5522-2-222-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i2i2i22-2-22i−2i-222i−2i−2i2i22-2-22i2i−2i−2i-22000000000000000000000000-22−2i2i00000000000000000000000000000000
χ5622-2-222-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i2i2i22-2-22i−2i-222i−2i−2i2i-2-222−2i−2i2i2i-220000000000000000000000002-22i−2i00000000000000000000000000000000
χ5722-2-222-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i2i2i-2-222−2i2i-22−2i2i2i−2i000000002-2000000000000000000000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300000000000000000000
χ5822-2-222-2-22i2i−2i−2i2i−2i2i−2i-22−2i−2i2i2i-2-222−2i2i-22−2i2i2i−2i000000002-200000000000000000000000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300000000000000000000
χ5922-2-222-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i−2i2i2i-2-2222i−2i2-22i−2i2i−2i00000000-222ζ32ζ3−2ζ3−2ζ32ζ2ζ−2ζ−2ζ00000000000000000000−2ζ32ζ3−2ζ2ζ0000000000000000000000000000
χ6022-2-222-2-2−2i−2i2i2i−2i2i−2i2i2-2−2i−2i2i2i-2-2222i−2i2-22i−2i2i−2i00000000-22−2ζ3−2ζ32ζ32ζ3−2ζ−2ζ2ζ2ζ000000000000000000002ζ3−2ζ32ζ−2ζ0000000000000000000000000000
χ6122-2-222-2-2−2i−2i2i2i−2i2i−2i2i-222i2i−2i−2i22-2-2−2i2i-22−2i2i2i−2i22-2-2−2i−2i2i2i-22000000000000000000000000-222i−2i00000000000000000000000000000000
χ6222-2-222-2-2−2i−2i2i2i−2i2i−2i2i-222i2i−2i−2i22-2-2−2i2i-22−2i2i2i−2i-2-2222i2i−2i−2i-220000000000000000000000002-2−2i2i00000000000000000000000000000000
χ6322-2-222-2-2−2i−2i2i2i−2i2i−2i2i-222i2i−2i−2i-2-2222i−2i-222i−2i−2i2i000000002-2000000000000000000000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00000000000000000000
χ6422-2-222-2-2−2i−2i2i2i−2i2i−2i2i-222i2i−2i−2i-2-2222i−2i-222i−2i−2i2i000000002-200000000000000000000000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00000000000000000000
χ6522-2-2-2-2222i−2i−2i2i2i−2i−2i2i2-22i−2i−2i2i000000-22000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ322−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000
χ6622-2-2-2-2222i−2i−2i2i2i−2i−2i2i2-22i−2i−2i2i000000-22000000000000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ3−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000
χ6722-2-2-2-2222i−2i−2i2i2i−2i−2i2i2-22i−2i−2i2i000000-2200000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ322−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i0000
χ6822-2-2-2-2222i−2i−2i2i2i−2i−2i2i2-22i−2i−2i2i000000-2200000000000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ3−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i0000
χ6922-2-2-2-222−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i000000-22000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ22−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000
χ7022-2-2-2-222−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i000000-22000000000000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000
χ7122-2-2-2-222−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i000000-2200000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ22−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i0000
χ7222-2-2-2-222−2i2i2i−2i−2i2i2i−2i2-2−2i2i2i−2i000000-2200000000000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i0000
χ732-22-22-22-22222-2-2-2-20000002-22-22200-2-2002-22-22-22-200000000002−22−22−22−22−22−22−22−200000000000000002−22−22−22−2000000000000
χ742-22-22-22-22222-2-2-2-20000002-22-22200-2-2002-22-22-22-20000000000−22−22−22−22−22−22−22−220000000000000000−22−22−22−22000000000000
χ752-22-22-22-22222-2-2-2-20000002-22-22200-2-200-22-22-22-2200000000002−22−22−22−22−22−22−22−20000000000000000−22−22−22−22000000000000
χ762-22-22-22-22222-2-2-2-20000002-22-22200-2-200-22-22-22-220000000000−22−22−22−22−22−22−22−2200000000000000002−22−22−22−2000000000000
χ772-22-22-22-2-2-2-2-222220000002-22-2-2-20022002-22-2-22-2200000000002−22−22−22−2−22−22−22−2200000000000000002−22−2−22−22000000000000
χ782-22-22-22-2-2-2-2-222220000002-22-2-2-20022002-22-2-22-220000000000−22−22−22−222−22−22−22−20000000000000000−22−222−22−2000000000000
χ792-22-22-22-2-2-2-2-222220000002-22-2-2-2002200-22-222-22-200000000002−22−22−22−2−22−22−22−220000000000000000−22−222−22−2000000000000
χ802-22-22-22-2-2-2-2-222220000002-22-2-2-2002200-22-222-22-20000000000−22−22−22−222−22−22−22−200000000000000002−22−2−22−22000000000000
χ812-2-222-2-222i2i−2i−2i−2i2i−2i2i0000002-2-222i−2i00−2i2i002-2-222i−2i−2i2i00000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000002−2−22i2−i2−i2i2000000000000
χ822-2-222-2-222i2i−2i−2i−2i2i−2i2i0000002-2-222i−2i00−2i2i002-2-222i−2i−2i2i0000000000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000−222−2−i2i2i2−i2000000000000
χ832-2-222-2-222i2i−2i−2i−2i2i−2i2i0000002-2-222i−2i00−2i2i00-222-2−2i2i2i−2i00000000002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000−222−2−i2i2i2−i2000000000000
χ842-2-222-2-222i2i−2i−2i−2i2i−2i2i0000002-2-222i−2i00−2i2i00-222-2−2i2i2i−2i0000000000−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000000000002−2−22i2−i2−i2i2000000000000
χ852-2-222-2-22−2i−2i2i2i2i−2i2i−2i0000002-2-22−2i2i002i−2i002-2-22−2i2i2i−2i00000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000002−2−22−i2i2i2−i2000000000000
χ862-2-222-2-22−2i−2i2i2i2i−2i2i−2i0000002-2-22−2i2i002i−2i002-2-22−2i2i2i−2i0000000000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000−222−2i2−i2−i2i2000000000000
χ872-2-222-2-22−2i−2i2i2i2i−2i2i−2i0000002-2-22−2i2i002i−2i00-222-22i−2i−2i2i00000000002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000−222−2i2−i2−i2i2000000000000
χ882-2-222-2-22−2i−2i2i2i2i−2i2i−2i0000002-2-22−2i2i002i−2i00-222-22i−2i−2i2i0000000000−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000002−2−22−i2i2i2−i2000000000000
χ894444-4-4-4-44-44-444-4-4-4-4-44-440000004400000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-4-44-44-4-444-4-44-44-40000004400000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-4444i−4i−4i4i4i−4i−4i4i-44−4i4i4i−4i0000004-400000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-444−4i4i4i−4i−4i4i4i−4i-444i−4i−4i4i0000004-400000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44-44-44444-4-4-4-4000000-44-44-4-40044000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44-44-4-4-4-4-44444000000-44-444400-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-444-44-4-4-4440000000000000000000000000000000000002-2-222-2-222-2-222-2-22000000000000000000000000000000000000
χ964-44-4-44-444-44-4-4-444000000000000000000000000000000000000-222-2-222-2-222-2-222-2000000000000000000000000000000000000
χ974-44-4-44-44-44-4444-4-40000000000000000000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000000000
χ984-44-4-44-44-44-4444-4-4000000000000000000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000000000
χ994-4-444-4-444i4i−4i−4i−4i4i−4i4i000000-444-4−4i4i004i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44−4i−4i4i4i4i−4i4i−4i000000-444-44i−4i00−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000002-2-22-222-22i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ1024-4-44-444-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000-222-22-2-22−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ1034-4-44-444-4−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000002-2-22-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ1044-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000-222-22-2-222i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000

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