Finite Group Databasebeta

← Group #110663

Character table — Group #110663

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222244444444444444444444444444444444444444444444444444444488888888161616161616161616161616
order12224444224444444444444422444488888888888888888888888888888888888888888888888888888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-111-1-1-1-111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i11-1-1
χ1011111111-1-111-1-1-1-111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111−i−iii-1-111
χ1111111111-1-111-1-1-1-111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i-1-111ii−i−i-1-111
χ1211111111-1-111-1-1-1-111-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii11-1-1−i−iii11-1-1
χ1311111111-1-111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i11-1-1−i−iii-1-111
χ1411111111-1-111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii-1-111ii−i−i11-1-1
χ1511111111-1-111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−i-1-111−i−iii11-1-1
χ1611111111-1-111-1-1-1-111-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii11-1-1ii−i−i-1-111
χ171111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i1-11-11-11-1i−ii−i
χ181111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iii-11-11-11-11−ii−ii
χ191111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111ii−i−iii−i−i-11-111-11-1−ii−ii
χ201111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iii−i−iii1-11-1-11-11i−ii−i
χ211111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−iii−i−i1-11-1-11-11−ii−ii
χ221111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111−i−iii−i−iii-11-111-11-1i−ii−i
χ231111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i-11-11-11-11i−ii−i
χ241111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−iii1-11-11-11-1−ii−ii
χ251111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-11−iii−ii−i−ii
χ261111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-111-1i−i−ii−iii−i
χ271111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-111-1−iii−i−iii−i
χ281111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11-1-11i−i−iii−i−ii
χ291111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-11i−i−ii−iii−i
χ301111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-111-1−iii−ii−i−ii
χ311111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-111-1i−i−iii−i−ii
χ321111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-11-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11-1-11−iii−i−iii−i
χ3322222222222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000
χ352222222222-2-2-2-222-2-2-2-22222-2-2-2-222000000000000000022-2-222-2-222-2-222-2-2000000000000000000000000000000000000
χ362222222222-2-2-2-222-2-2-2-22222-2-2-2-2220000000000000000-2-222-2-222-2-222-2-222000000000000000000000000000000000000
χ372222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000
χ382222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ3922222222-2-222-2-2-2-222-2-22222-22-22-2-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000000000
χ4022222222-2-222-2-2-2-222-2-22222-22-22-2-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-222-2-2-2-22222222-22-2-2-20000000000000000000000000000000022-2-222-2-2-2-222-2-22200000000000000000000
χ4222222222-2-2-2-222-2-2-2-22222222-22-2-2-200000000000000000000000000000000-2-222-2-22222-2-222-2-200000000000000000000
χ4322222222-2-2-2-222-2-2-2-222-2-2-2-2-22-222200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ4422222222-2-2-2-222-2-2-2-222-2-2-2-2-22-22220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2-2-222-2-22222-2-2-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ472222-2-2-2-222-2-222-2-222-2-222-2-222-2-22-200000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ482222-2-2-2-222-2-222-2-222-2-222-2-222-2-22-20000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ492222-2-2-2-222-2-222-2-222-2-2-2-222-2-222-22000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000
χ502222-2-2-2-222-2-222-2-222-2-2-2-222-2-222-2200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ512222-2-2-2-2-2-2222222-2-2-2-222-2-22-2-22-222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ522222-2-2-2-2-2-2222222-2-2-2-222-2-22-2-22-22−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ532222-2-2-2-2-2-2-2-2-2-222222222-2-2-222-2-220000000000000000000000000000000022-2-2-2-222-2-22222-2-200000000000000000000
χ542222-2-2-2-2-2-2-2-2-2-222222222-2-2-222-2-2200000000000000000000000000000000-2-22222-2-222-2-2-2-22200000000000000000000
χ552222-2-2-2-2-2-2-2-2-2-2222222-2-2222-2-222-2000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ562222-2-2-2-2-2-2-2-2-2-2222222-2-2222-2-222-20000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
χ572-22-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-20000000000002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+ii2−i2i2−i22−22−2i2−i2i2−i22−22−200000000000000000000
χ582-22-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-20000000000002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−i2i2−i2i2−22−22−i2i2−i2i2−22−2200000000000000000000
χ592-22-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-2000000000000−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−i2i2−i2i2−22−22−i2i2−i2i2−22−2200000000000000000000
χ602-22-22i2i−2i−2i2-22-22i−2i2i−2i2i−2i2-2000000000000−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−ii2−i2i2−i22−22−2i2−i2i2−i22−22−200000000000000000000
χ612-22-22i2i−2i−2i2-2-22−2i2i2i−2i−2i2i-2200000000002ζ−2ζ002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i2−2−22−i2i2i2−i22−2−22−i2i2i2−i200000000000000000000
χ622-22-22i2i−2i−2i2-2-22−2i2i2i−2i−2i2i-2200000000002ζ−2ζ002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ300−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−222−2i2−i2−i2i2−222−2i2−i2−i2i200000000000000000000
χ632-22-22i2i−2i−2i2-2-22−2i2i2i−2i−2i2i-220000000000−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ3001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−222−2i2−i2−i2i2−222−2i2−i2−i2i200000000000000000000
χ642-22-22i2i−2i−2i2-2-22−2i2i2i−2i−2i2i-220000000000−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i2−2−22−i2i2i2−i22−2−22−i2i2i2−i200000000000000000000
χ652-22-22i2i−2i−2i-222-2−2i2i−2i2i2i−2i-220000000000002ζ3−2ζ3002ζ−2ζ00−2ζ32ζ300−2ζ2ζ1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i2−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000000000000000
χ662-22-22i2i−2i−2i-222-2−2i2i−2i2i2i−2i-220000000000002ζ3−2ζ3002ζ−2ζ00−2ζ32ζ300−2ζ2ζ−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000000000000000
χ672-22-22i2i−2i−2i-222-2−2i2i−2i2i2i−2i-22000000000000−2ζ32ζ300−2ζ2ζ002ζ3−2ζ3002ζ−2ζ1−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−22−22i2−i2i2−i22−22−2−i2i2−i2i200000000000000000000
χ682-22-22i2i−2i−2i-222-2−2i2i−2i2i2i−2i-22000000000000−2ζ32ζ300−2ζ2ζ002ζ3−2ζ3002ζ−2ζ−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i2−22−2−i2i2−i2i2−22−22i2−i2i2−i200000000000000000000
χ692-22-22i2i−2i−2i-22-222i−2i−2i2i−2i2i2-200000000002ζ−2ζ002ζ3−2ζ300−2ζ2ζ00−2ζ32ζ3001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−i2i2i2−i2−222−2i2−i2−i2i22−2−2200000000000000000000
χ702-22-22i2i−2i−2i-22-222i−2i−2i2i−2i2i2-200000000002ζ−2ζ002ζ3−2ζ300−2ζ2ζ00−2ζ32ζ300−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−ii2−i2−i2i22−2−22−i2i2i2−i2−222−200000000000000000000
χ712-22-22i2i−2i−2i-22-222i−2i−2i2i−2i2i2-20000000000−2ζ2ζ00−2ζ32ζ3002ζ−2ζ002ζ3−2ζ3001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+ii2−i2−i2i22−2−22−i2i2i2−i2−222−200000000000000000000
χ722-22-22i2i−2i−2i-22-222i−2i−2i2i−2i2i2-20000000000−2ζ2ζ00−2ζ32ζ3002ζ−2ζ002ζ3−2ζ300−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−i2i2i2−i2−222−2i2−i2−i2i22−2−2200000000000000000000
χ732-22-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-20000000000002ζ−2ζ002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ31−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−ii2−i2i2−i2−22−22i2−i2i2−i2−22−2200000000000000000000
χ742-22-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-20000000000002ζ−2ζ002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−i2i2−i2i22−22−2−i2i2−i2i22−22−200000000000000000000
χ752-22-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-2000000000000−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ31−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−i2i2−i2i22−22−2−i2i2−i2i22−22−200000000000000000000
χ762-22-2−2i−2i2i2i2-22-2−2i2i−2i2i−2i2i2-2000000000000−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−2ζ32ζ3−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+ii2−i2i2−i2−22−22i2−i2i2−i2−22−2200000000000000000000
χ772-22-2−2i−2i2i2i2-2-222i−2i−2i2i2i−2i-2200000000002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−222−2−i2i2i2−i2−222−2−i2i2i2−i200000000000000000000
χ782-22-2−2i−2i2i2i2-2-222i−2i−2i2i2i−2i-2200000000002ζ3−2ζ3002ζ−2ζ002ζ3−2ζ3002ζ−2ζ00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i2−2−22i2−i2−i2i22−2−22i2−i2−i2i200000000000000000000
χ792-22-2−2i−2i2i2i2-2-222i−2i−2i2i2i−2i-220000000000−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i2−2−22i2−i2−i2i22−2−22i2−i2−i2i200000000000000000000
χ802-22-2−2i−2i2i2i2-2-222i−2i−2i2i2i−2i-220000000000−2ζ32ζ300−2ζ2ζ00−2ζ32ζ300−2ζ2ζ00−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−222−2−i2i2i2−i2−222−2−i2i2i2−i200000000000000000000
χ812-22-2−2i−2i2i2i-222-22i−2i2i−2i−2i2i-220000000000002ζ−2ζ002ζ3−2ζ300−2ζ2ζ00−2ζ32ζ31+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000000000000000
χ822-22-2−2i−2i2i2i-222-22i−2i2i−2i−2i2i-220000000000002ζ−2ζ002ζ3−2ζ300−2ζ2ζ00−2ζ32ζ3−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i2−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000000000000000
χ832-22-2−2i−2i2i2i-222-22i−2i2i−2i−2i2i-22000000000000−2ζ2ζ00−2ζ32ζ3002ζ−2ζ002ζ3−2ζ31+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i2−22−2i2−i2i2−i2−22−22−i2i2−i2i200000000000000000000
χ842-22-2−2i−2i2i2i-222-22i−2i2i−2i−2i2i-22000000000000−2ζ2ζ00−2ζ32ζ3002ζ−2ζ002ζ3−2ζ3−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i−22−22−i2i2−i2i22−22−2i2−i2i2−i200000000000000000000
χ852-22-2−2i−2i2i2i-22-22−2i2i2i−2i2i−2i2-200000000002ζ3−2ζ3002ζ−2ζ00−2ζ32ζ300−2ζ2ζ001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−i2i2i2−i22−2−22i2−i2−i2i2−222−200000000000000000000
χ862-22-2−2i−2i2i2i-22-22−2i2i2i−2i2i−2i2-200000000002ζ3−2ζ3002ζ−2ζ00−2ζ32ζ300−2ζ2ζ00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+ii2−i2−i2i2−222−2−i2i2i2−i22−2−2200000000000000000000
χ872-22-2−2i−2i2i2i-22-22−2i2i2i−2i2i−2i2-20000000000−2ζ32ζ300−2ζ2ζ002ζ3−2ζ3002ζ−2ζ001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−ii2−i2−i2i2−222−2−i2i2i2−i22−2−2200000000000000000000
χ882-22-2−2i−2i2i2i-22-22−2i2i2i−2i2i−2i2-20000000000−2ζ32ζ300−2ζ2ζ002ζ3−2ζ3002ζ−2ζ00−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−i2i2i2−i22−2−22i2−i2−i2i2−222−200000000000000000000
χ894-4-444i−4i4i−4i0000000000004-44i−4i0000000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ000000000000
χ904-4-444i−4i4i−4i0000000000004-44i−4i000000000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ000000000000
χ914-4-444i−4i4i−4i000000000000-44−4i4i0000000000000000000000000000000000000000000000000000002ζ−2ζ−2ζ32ζ3−2ζ2ζ2ζ3−2ζ3000000000000
χ924-4-444i−4i4i−4i000000000000-44−4i4i000000000000000000000000000000000000000000000000000000−2ζ2ζ2ζ3−2ζ32ζ−2ζ−2ζ32ζ3000000000000
χ934-4-44−4i4i−4i4i0000000000004-4−4i4i0000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ3000000000000
χ944-4-44−4i4i−4i4i0000000000004-4−4i4i000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ3000000000000
χ954-4-44−4i4i−4i4i000000000000-444i−4i0000000000000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ2ζ−2ζ32ζ32ζ−2ζ000000000000
χ964-4-44−4i4i−4i4i000000000000-444i−4i000000000000000000000000000000000000000000000000000000−2ζ32ζ32ζ−2ζ2ζ3−2ζ3−2ζ2ζ000000000000
χ9788-8-88-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-8-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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