Finite Group Databasebeta

← Group #11773877

Character table — Group #11773877

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order1222223344446666663666666612121212121212121212121266881212242424242424242424242424242424244444444422228888121212121212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ911111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11111i−ii−i1111-1-1-1-1ii−i−iii−i−i-1-1i−i
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111-1-1-1-1i−i−ii11-1-1-1-111ii−i−i−i−iii11−ii
χ1111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111-1-1-1-1-1-1−iii−i-1-11111-1-1−i−iiiii−i−i11−ii
χ1211111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111i−i-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111111−ii−ii-1-1-1-11111−i−iii−i−iii-1-1i−i
χ1311111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11111−ii−ii1111-1-1-1-1−i−iii−i−iii-1-1−ii
χ1411111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111-1-1-1-1−iii−i11-1-1-1-111−i−iiiii−i−i11i−i
χ1511111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111-1-1-1-1-1-1i−i−ii-1-11111-1-1ii−i−i−i−iii11i−i
χ1611111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111−ii-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111111i−ii−i-1-1-1-11111ii−i−iii−i−i-1-1−ii
χ172222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1002200220000002200-1-100-1-10000-1-1-1-10000
χ182222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2000000-2-200110011000011110000
χ192222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-1-1-2-2111111-2-211111100220022000000-2-200-1-100-1-1000011110000
χ202222222-122222-12-12-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-1-1-2-2111111-2-211111100-2-200-2-200000022001100110000-1-1-1-10000
χ212222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2111111-2-211-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii002200-2-20000002i−2i00-1-100110000−i−iii0000
χ222222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2111111-2-211-1-12i−2i112i2i−i−i−i−i−i−i−2i−2iiiiiii00-2-20022000000−2i2i001100-1-10000ii−i−i0000
χ232222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2111111-2-211-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i002200-2-2000000−2i2i00-1-100110000ii−i−i0000
χ242222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1-2-2111111-2-211-1-1−2i2i11−2i−2iiiiiii2i2i−i−i−i−i−i−i00-2-200220000002i−2i001100-1-10000−i−iii0000
χ25222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-12200220000002200-1-100-1-100-1-1-1-100000000
χ26222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-200-2-2000000-2-20011001100111100000000
χ27222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-111-2-2111111-2-21111220022000000-2-200-1-100-1-100111100000000
χ28222222-122222-12-12-12-1-1-122-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-111-2-2111111-2-21111-2-200-2-2000000220011001100-1-1-1-100000000
χ29222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111111-2-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii2200-2-20000002i−2i00-1-1001100−i−iii00000000
χ30222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111111-2-2-1-12i−2i11−i−i2i2i−i−i−i−iii−2i−2iiiii-2-20022000000−2i2i001100-1-100ii−i−i00000000
χ31222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111111-2-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i2200-2-2000000−2i2i00-1-1001100ii−i−i00000000
χ32222222-12-2-2-2-2-12-12-12-1-1-122-1-1-111-2-2111111-2-2-1-1−2i2i11ii−2i−2iiiii−i−i2i2i−i−i−i−i-2-200220000002i−2i001100-1-100−i−iii00000000
χ332222-2-22222-2-22222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-2002200000000000000000000000022-2-2000000000000000000002-200
χ342222-2-22222-2-22222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-20022000000000000000000000000-2-22200000000000000000000-2200
χ352222-2-222-2-2222222222-2-2-2-222222222222-2-2-2-2-2-200-2-200000000000000000000000022-2-200000000000000000000-2200
χ362222-2-222-2-2222222222-2-2-2-222222222222-2-2-2-2-2-200-2-2000000000000000000000000-2-222000000000000000000002-200
χ372-22-22-2222i−2i2i−2i-2-222-2-222-22-22-2-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2-2002i−2i0000000000000000002-2002i−2i00000000002-2002i−2i000000000000
χ382-22-22-2222i−2i2i−2i-2-222-2-222-22-22-2-22i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2-2002i−2i000000000000000000-2200−2i2i0000000000-2200−2i2i000000000000
χ392-22-22-222−2i2i−2i2i-2-222-2-222-22-22-2-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i2-200−2i2i0000000000000000002-200−2i2i00000000002-200−2i2i000000000000
χ402-22-22-222−2i2i−2i2i-2-222-2-222-22-22-2-2−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i2-200−2i2i000000000000000000-22002i−2i0000000000-22002i−2i000000000000
χ412-22-22-22-12i−2i2i−2i-212-1-21-12-2-11-1112i−2i−ii−i−iii2i−2i−ii-1100−ii00−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13002-2002i−2i0000000000-1100−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ422-22-22-22-12i−2i2i−2i-212-1-21-12-2-11-1112i−2i−ii−i−iii2i−2i−ii-1100−ii00−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300-2200−2i2i00000000001-100i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ432-22-22-22-12i−2i2i−2i-212-1-21-12-2-11-1112i−2i−ii−i−iii2i−2i−ii-1100−ii00ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13002-2002i−2i0000000000-1100−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ442-22-22-22-12i−2i2i−2i-212-1-21-12-2-11-1112i−2i−ii−i−iii2i−2i−ii-1100−ii00ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300-2200−2i2i00000000001-100i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ452-22-22-22-1−2i2i−2i2i-212-1-21-12-2-11-111−2i2ii−iii−i−i−2i2ii−i-1100i−i00ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23002-200−2i2i0000000000-1100i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ462-22-22-22-1−2i2i−2i2i-212-1-21-12-2-11-111−2i2ii−iii−i−i−2i2ii−i-1100i−i00ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300-22002i−2i00000000001-100−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ472-22-22-22-1−2i2i−2i2i-212-1-21-12-2-11-111−2i2ii−iii−i−i−2i2ii−i-1100i−i00−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23002-200−2i2i0000000000-1100i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ482-22-22-22-1−2i2i−2i2i-212-1-21-12-2-11-111−2i2ii−iii−i−i−2i2ii−i-1100i−i00−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300-22002i−2i00000000001-100−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ492-22-2-22222i−2i−2i2i-2-222-2-22-22-222-2-2−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i-22002i−2i00000000000000002-2002i−2i00000000002-2002i−2i00000000000000
χ502-22-2-22222i−2i−2i2i-2-222-2-22-22-222-2-2−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i-22002i−2i0000000000000000-2200−2i2i0000000000-2200−2i2i00000000000000
χ512-22-2-2222−2i2i2i−2i-2-222-2-22-22-222-2-22i−2i2i−2i2i2i−2i−2i−2i2i−2i2i-2200−2i2i00000000000000002-200−2i2i00000000002-200−2i2i00000000000000
χ522-22-2-2222−2i2i2i−2i-2-222-2-22-22-222-2-22i−2i2i−2i2i2i−2i−2i−2i2i−2i2i-2200−2i2i0000000000000000-22002i−2i0000000000-22002i−2i00000000000000
χ532-22-2-22-122i−2i−2i2i1-2-121-2-11-1-22-111i−i−2i2iii−i−i−ii2i−2i1-100−iiζ5−ζ13−ζ5+ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ232-2002i−2i0000000000-1100−ii00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ542-22-2-22-122i−2i−2i2i1-2-121-2-11-1-22-111i−i−2i2iii−i−i−ii2i−2i1-100−iiζ5−ζ13−ζ5+ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23-2200−2i2i00000000001-100i−i00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ552-22-2-22-122i−2i−2i2i1-2-121-2-11-1-22-111i−i−2i2iii−i−i−ii2i−2i1-100−ii−ζ5+ζ13ζ5−ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ232-2002i−2i0000000000-1100−ii00−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000
χ562-22-2-22-122i−2i−2i2i1-2-121-2-11-1-22-111i−i−2i2iii−i−i−ii2i−2i1-100−ii−ζ5+ζ13ζ5−ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23-2200−2i2i00000000001-100i−i00ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000
χ572-22-2-22-12−2i2i2i−2i1-2-121-2-11-1-22-111−ii2i−2i−i−iiii−i−2i2i1-100i−i−ζ7+ζ23ζ7−ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132-200−2i2i0000000000-1100i−i00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ582-22-2-22-12−2i2i2i−2i1-2-121-2-11-1-22-111−ii2i−2i−i−iiii−i−2i2i1-100i−i−ζ7+ζ23ζ7−ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13-22002i−2i00000000001-100−ii00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ592-22-2-22-12−2i2i2i−2i1-2-121-2-11-1-22-111−ii2i−2i−i−iiii−i−2i2i1-100i−iζ7−ζ23−ζ7+ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ132-200−2i2i0000000000-1100i−i00ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000
χ602-22-2-22-12−2i2i2i−2i1-2-121-2-11-1-22-111−ii2i−2i−i−iiii−i−2i2i1-100i−iζ7−ζ23−ζ7+ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13-22002i−2i00000000001-100−ii00−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-21111-2-2-2-2114411-2-2-2-21111-2-2-2-21111000000000000000000000000000000000000
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χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-1-1-12222114i−4i-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21112222-1-1-1-1222211−4i4i-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii000000000000000000000000000000000000
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χ704444-4-4-2-244-4-4-2-2-2-2-2-2122221112222-1-1-1-1-2-2-2-2-1-100110000−3i3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-2-2-211112222-1-100-1-100003-3-3300003-3-33000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-212222111-2-2-2-211112222-1-100-1-10000-333-30000-333-3000000000000000000000000000000000000
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χ764-44-44-4-24−4i4i−4i4i2-4-242-4-2-224-4-2222i−2i−4i4i2i2i−2i−2i2i−2i−4i4i-22002i−2i0000000000000000000000000000000000000000000000000000
χ774-44-44-4-2-24i−4i4i−4i22-2-2221-22-221-1-1−2i2i−2i2iii−i−i−2i2i−2i2i1-100i−i00−2ζ7+2ζ232ζ7−2ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23002ζ5−2ζ13−2ζ5+2ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000000000000000
χ784-44-44-4-2-24i−4i4i−4i22-2-2221-22-221-1-1−2i2i−2i2iii−i−i−2i2i−2i2i1-100i−i002ζ7−2ζ23−2ζ7+2ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300−2ζ5+2ζ132ζ5−2ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000000000000000
χ794-44-44-4-2-2−4i4i−4i4i22-2-2221-22-221-1-12i−2i2i−2i−i−iii2i−2i2i−2i1-100−ii002ζ5−2ζ13−2ζ5+2ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300−2ζ7+2ζ232ζ7−2ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000000000000000
χ804-44-44-4-2-2−4i4i−4i4i22-2-2221-22-221-1-12i−2i2i−2i−i−iii2i−2i2i−2i1-100−ii00−2ζ5+2ζ132ζ5−2ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13002ζ7−2ζ23−2ζ7+2ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000000000000000
χ814-44-4-444-24i−4i−4i4i-424-2-42-2-442-2-222−4i4i2i−2i2i2i−2i−2i4i−4i−2i2i2-200−2i2i0000000000000000000000000000000000000000000000000000
χ824-44-4-444-2−4i4i4i−4i-424-2-42-2-442-2-2224i−4i−2i2i−2i−2i2i2i−4i4i2i−2i2-2002i−2i0000000000000000000000000000000000000000000000000000
χ834-44-4-44-2-24i−4i−4i4i22-2-22212-22-21-1-12i−2i2i−2i−i−iii−2i2i−2i2i-1100i−i2ζ5−2ζ13−2ζ5+2ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13−2ζ7+2ζ232ζ7−2ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000
χ844-44-4-44-2-24i−4i−4i4i22-2-22212-22-21-1-12i−2i2i−2i−i−iii−2i2i−2i2i-1100i−i−2ζ5+2ζ132ζ5−2ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132ζ7−2ζ23−2ζ7+2ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000
χ854-44-4-44-2-2−4i4i4i−4i22-2-22212-22-21-1-1−2i2i−2i2iii−i−i2i−2i2i−2i-1100−ii−2ζ7+2ζ232ζ7−2ζ2300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ232ζ5−2ζ13−2ζ5+2ζ1300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000
χ864-44-4-44-2-2−4i4i4i−4i22-2-22212-22-21-1-1−2i2i−2i2iii−i−i2i−2i2i−2i-1100−ii2ζ7−2ζ23−2ζ7+2ζ2300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23−2ζ5+2ζ132ζ5−2ζ1300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000
χ874-4-4400440000-4-4-4-44440000-4-440000000000000000000000000000000000000000004-400000000000000000000000000
χ884-4-4400440000-4-4-4-44440000-4-44000000000000000000000000000000000000000000-4400000000000000000000000000
χ8988-8-8008-400008-4-84-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-484-84-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-4-4444420000-22-200006i−6i6i−6i00000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4-4444420000-22-20000−6i6i−6i6i00000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-84-848-4-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-84-8-48-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004444-4-420000-2-2200006-6-6600000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004444-4-420000-2-220000-666-600000000000000000000000000000000000000000000000000000000000000

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