Finite Group Databasebeta

← Group #10765302

Character table — Group #10765302

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11111111222222222222444444444444444444444444666666668888888888888888888888881212121212121212121212121212121216161616242424242424
order1222444434444666121212122244888888888888121212122424242488888888246688881212242424242424242424242424242422244444888888886122424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-11111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1-1-1
χ911111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ1011111111111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1
χ1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ1211111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111111111111-1-1-1-111
χ1311111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-11111-1-1-1-111-1-111-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-1111-1-111111111-1-111-1-111-1-1
χ171111-1-1-1-1111-1-1111-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−iiiii−i−i−i−i1-111i−i1-1-1-1i−iii−i−iii−i−i11-1-11111-1-1-1-1ii−i−i11-1-11-1i−i-11i−ii−i
χ181111-1-1-1-1111-1-1111-1-1-1-111-1-1ii−i−iii−i−iii−i−i11-1-1ii−i−i−i−i−i−iiiii1-111i−i1-1-1-1i−iii−i−iii−i−i11-1-1-1-1-1-11111−i−iii-1-1111-1i−i1-1−ii−ii
χ191111-1-1-1-1111-1-1111-1-1-1-111-1-1ii−i−iii−i−i−i−iii11-1-1ii−i−iiiii−i−i−i−i-1111−ii-11-1-1i−iii−i−i−i−iii-1-1111111-1-1-1-1ii−i−i-1-111-11−ii1-1−ii−ii
χ201111-1-1-1-1111-1-1111-1-1-1-111-1-1ii−i−iii−i−i−i−iii11-1-1ii−i−i−i−i−i−iiiii-1111−ii-11-1-1i−iii−i−i−i−iii-1-111-1-1-1-11111−i−iii11-1-1-11−ii-11i−ii−i
χ211111-1-1-1-1111-1-1111-1-1-1-111-1-1−i−iii−i−iiiii−i−i11-1-1−i−iiiiiii−i−i−i−i-1111i−i-11-1-1−ii−i−iiiii−i−i-1-111-1-1-1-11111ii−i−i11-1-1-11i−i-11−ii−ii
χ221111-1-1-1-1111-1-1111-1-1-1-111-1-1−i−iii−i−iiiii−i−i11-1-1−i−iii−i−i−i−iiiii-1111i−i-11-1-1−ii−i−iiiii−i−i-1-1111111-1-1-1-1−i−iii-1-111-11i−i1-1i−ii−i
χ231111-1-1-1-1111-1-1111-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-1−i−iiiiiii−i−i−i−i1-111−ii1-1-1-1−ii−i−iii−i−iii11-1-1-1-1-1-11111ii−i−i-1-1111-1−ii1-1i−ii−i
χ241111-1-1-1-1111-1-1111-1-1-1-111-1-1−i−iii−i−iii−i−iii11-1-1−i−iii−i−i−i−iiiii1-111−ii1-1-1-1−ii−i−iii−i−iii11-1-11111-1-1-1-1−i−iii11-1-11-1−ii-11−ii−ii
χ251111-1-1-1-1111-1-1111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i11-1-1ii−i−iiiii−i−i−i−i-11-1-1−ii1-111i−i−i−iiiii−i−i11-1-11-1-11-1-111−i−iii11-1-1-11−ii1-1−iii−i
χ261111-1-1-1-1111-1-1111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i11-1-1ii−i−i−i−i−i−iiiii-11-1-1−ii1-111i−i−i−iiiii−i−i11-1-1-111-111-1-1ii−i−i-1-111-11−ii-11i−i−ii
χ271111-1-1-1-1111-1-1111-1-1-1-1-1-111ii−i−i−i−iii−i−iii11-1-1ii−i−iiiii−i−i−i−i1-1-1-1i−i-1111i−i−i−iii−i−iii-1-1111-1-11-1-111−i−iii-1-1111-1i−i-11i−i−ii
χ281111-1-1-1-1111-1-1111-1-1-1-1-1-111ii−i−i−i−iii−i−iii11-1-1ii−i−i−i−i−i−iiiii1-1-1-1i−i-1111i−i−i−iii−i−iii-1-111-111-111-1-1ii−i−i11-1-11-1i−i1-1−iii−i
χ291111-1-1-1-1111-1-1111-1-1-1-1-1-111−i−iiiii−i−iii−i−i11-1-1−i−iiiiiii−i−i−i−i1-1-1-1−ii-1111−iiii−i−iii−i−i-1-111-111-111-1-1−i−iii11-1-11-1−ii1-1i−i−ii
χ301111-1-1-1-1111-1-1111-1-1-1-1-1-111−i−iiiii−i−iii−i−i11-1-1−i−iii−i−i−i−iiiii1-1-1-1−ii-1111−iiii−i−iii−i−i-1-1111-1-11-1-111ii−i−i-1-1111-1−ii-11−iii−i
χ311111-1-1-1-1111-1-1111-1-1-1-1-1-111−i−iiiii−i−i−i−iii11-1-1−i−iiiiiii−i−i−i−i-11-1-1i−i1-111−iiii−i−i−i−iii11-1-1-111-111-1-1−i−iii-1-111-11i−i-11−iii−i
χ321111-1-1-1-1111-1-1111-1-1-1-1-1-111−i−iiiii−i−i−i−iii11-1-1−i−iii−i−i−i−iiiii-11-1-1i−i1-111−iiii−i−i−i−iii11-1-11-1-11-1-111ii−i−i11-1-1-11i−i1-1i−i−ii
χ33222222222-2-2-2-2222222200002-22-200000000-2-2-2-2222222-2-222-2-20000000000-2-2000000000000200-2-2200000000000000000000
χ34222222222-2-2-2-2222222200002-22-200000000-2-2-2-22222-2-222-2-2220000000000-2-2000000000000-20022-200000000000000000000
χ35222222222-2-2-2-222222220000-22-2200000000-2-2-2-2-2-2-2-222-2-222-2-2000000000022000000000000-20022-200000000000000000000
χ36222222222-2-2-2-222222220000-22-2200000000-2-2-2-2-2-2-2-2-2-222-2-222000000000022000000000000200-2-2200000000000000000000
χ3722222222-12222-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-10000000022-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1000000
χ3822222222-12222-1-1-1-1-1-1-1222222222222-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-1-1-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000001111000000
χ3922222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-22222-1-1-1-1111100000000-2-2-1-122-2-2-1-1111111-1-1-1-11111000000000000000011-1-1000000
χ4022222222-12222-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-111110000000022-1-1-2-222-1-11111111111-1-1-1-10000000000000000-1-111000000
χ4122222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-22222-1-1-1-1-1-1-1-100000000-2-211-2-22211-1-11111-1-1-1-1-1-1-1-100000000000000001111000000
χ4222222222-12222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000221122-2-211-1-11111111111110000000000000000-1-1-1-1000000
χ4322222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-11111000000002211-2-2-2-21111-1-1-1-1-1-1-1-111110000000000000000-1-111000000
χ4422222222-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222-2-2-2-2-1-1-1-1111100000000-2-21122221111-1-1-1-11111-1-1-1-1000000000000000011-1-1000000
χ452222-2-2-2-22-2-222222-2-2-2-200002i−2i−2i2i00000000-2-2222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i0000000000−2i2i000000000000200-22-200000000000000000000
χ462222-2-2-2-22-2-222222-2-2-2-200002i−2i−2i2i00000000-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000−2i2i000000000000-2002-2200000000000000000000
χ472222-2-2-2-22-2-222222-2-2-2-20000−2i2i2i−2i00000000-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i00000000002i−2i000000000000-2002-2200000000000000000000
χ482222-2-2-2-22-2-222222-2-2-2-20000−2i2i2i−2i00000000-2-222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i00000000002i−2i000000000000200-22-200000000000000000000
χ492222-2-2-2-2-122-2-2-1-1-1111122-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-111−i−iii000000002-2-1-12i−2i2-211−ii−i−iii−i−iii-1-1110000000000000000-11−ii000000
χ502222-2-2-2-2-122-2-2-1-1-1111122-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-1-111−i−iii00000000-22-1-1−2i2i-2211−ii−i−iiiii−i−i11-1-100000000000000001-1i−i000000
χ512222-2-2-2-2-122-2-2-1-1-1111122-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-1-111ii−i−i00000000-22-1-12i−2i-2211i−iii−i−i−i−iii11-1-100000000000000001-1−ii000000
χ522222-2-2-2-2-122-2-2-1-1-1111122-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-111ii−i−i000000002-2-1-1−2i2i2-211i−iii−i−iii−i−i-1-1110000000000000000-11i−i000000
χ532222-2-2-2-2-122-2-2-1-1-11111-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-1-111−i−iii00000000-2211−2i2i2-2-1-1−iiii−i−i−i−iii-1-11100000000000000001-1i−i000000
χ542222-2-2-2-2-122-2-2-1-1-11111-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-111−i−iii000000002-2112i−2i-22-1-1−iiii−i−iii−i−i11-1-10000000000000000-11−ii000000
χ552222-2-2-2-2-122-2-2-1-1-11111-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-111ii−i−i000000002-211−2i2i-22-1-1i−i−i−iii−i−iii11-1-10000000000000000-11i−i000000
χ562222-2-2-2-2-122-2-2-1-1-11111-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-1-111ii−i−i00000000-22112i−2i2-2-1-1i−i−i−iiiii−i−i-1-11100000000000000001-1−ii000000
χ5722-2-22i2i−2i−2i22-22i−2i2-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002-22i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000002-20002i−2i000000000000000000
χ5822-2-22i2i−2i−2i22-22i−2i2-2-22i2i−2i−2i000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002-22i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000-22000−2i2i000000000000000000
χ5922-2-22i2i−2i−2i22-22i−2i2-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002-22i−2i00002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000-22000−2i2i000000000000000000
χ6022-2-22i2i−2i−2i22-22i−2i2-2-22i2i−2i−2i00000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300002-22i−2i0000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000002-20002i−2i000000000000000000
χ6122-2-22i2i−2i−2i2-22−2i2i2-2-22i2i−2i−2i2-22i−2i000000000000-22−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13002-200002i−2i00000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000
χ6222-2-22i2i−2i−2i2-22−2i2i2-2-22i2i−2i−2i2-22i−2i000000000000-22−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13002-200002i−2i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ6322-2-22i2i−2i−2i2-22−2i2i2-2-22i2i−2i−2i-22−2i2i000000000000-22−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ1300-220000−2i2i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000
χ6422-2-22i2i−2i−2i2-22−2i2i2-2-22i2i−2i−2i-22−2i2i000000000000-22−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ1300-220000−2i2i00000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000
χ6522-2-2−2i−2i2i2i22-2−2i2i2-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002-2−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000002-2000−2i2i000000000000000000
χ6622-2-2−2i−2i2i2i22-2−2i2i2-2-2−2i−2i2i2i00000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300002-2−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000-220002i−2i000000000000000000
χ6722-2-2−2i−2i2i2i22-2−2i2i2-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002-2−2i2i0000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000-220002i−2i000000000000000000
χ6822-2-2−2i−2i2i2i22-2−2i2i2-2-2−2i−2i2i2i000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002-2−2i2i00002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000002-2000−2i2i000000000000000000
χ6922-2-2−2i−2i2i2i2-222i−2i2-2-2−2i−2i2i2i2-2−2i2i000000000000-222i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23002-20000−2i2i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000
χ7022-2-2−2i−2i2i2i2-222i−2i2-2-2−2i−2i2i2i2-2−2i2i000000000000-222i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23002-20000−2i2i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000
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χ954-44-4−4i4i−4i4i-200002-222i−2i2i−2i000000000000−2+2i2−2i−2−2i2+2i00002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000000000000000000000001−i−1+i1+i−1−ii6−i6−6600000000000000000000000000
χ964-44-4−4i4i−4i4i-200002-222i−2i2i−2i000000000000−2+2i2−2i−2−2i2+2i0000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000000000000000000000001−i−1+i1+i−1−i−i6i66−600000000000000000000000000
χ974-4-444-4-4440000-4-444-4-440000000000000000000000000000000000000000000000000000000000000000000022−2222−220000000000
χ984-4-444-4-4440000-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000−2222−22220000000000
χ994-4-44-444-440000-4-44-444-40000000000000000000000000000000000000000000000000000000000000000000022−22−22220000000000
χ1004-4-44-444-440000-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000−222222−220000000000
χ1018-8-888-8-88-4000044-4-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-888-8-4000044-44-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.