Finite Group Databasebeta

← Group #11774058

Character table — Group #11774058

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222224444444444444444444444448888888888888888888818181818242424242424242424242424242424242424242424242424363636363636
order1222223344446666663666666688881212121212121212121212126612122424242424242424242424242424242444444444888812121212121212122424242424242424448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11-11-111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-11-11-1-111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1
χ511111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ711111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-111-1-1-1-1-1-11111-1-11111
χ811111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1111111-1-1-1-1-1-11111
χ911111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1i−ii−i-1-1-1-11111ii−i−iii−i−i1-1ii−i−i
χ1011111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-111−ii−ii1111-1-1-1-1−i−iii−i−iii1-1ii−i−i
χ1111111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii-1-11111-1-1ii−i−i−i−iii-11−i−iii
χ1211111111-1-1-1-111111111111111ii−i−i-1-1-1-1-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i11-1-1-1-111−i−iiiii−i−i-11−i−iii
χ1311111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−ii−ii-1-1-1-11111−i−iii−i−iii1-1−i−iii
χ1411111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-111i−ii−i1111-1-1-1-1ii−i−iii−i−i1-1−i−iii
χ1511111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i-1-11111-1-1−i−iiiii−i−i-11ii−i−i
χ1611111111-1-1-1-111111111111111−i−iii-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii11-1-1-1-111ii−i−i−i−iii-11ii−i−i
χ172222222-122222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000202002200-1-100-1-10000-1-1-1-1000000
χ182222222-122222-12-12-1-122-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000-20-200-2-20011001100001111000000
χ192222222-122222-12-12-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111110000020200-2-200-1-100-1-100001111000000
χ202222222-122222-12-12-1-122-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-211111100000-20-20022001100110000-1-1-1-1000000
χ212222222-1-2-2-2-22-12-12-1-122-1-1-1-1-12i2i−2i−2i-2-2111111-2-211-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii0000020-2002i−2i001100-1-10000−i−iii000000
χ222222222-1-2-2-2-22-12-12-1-122-1-1-1-1-12i2i−2i−2i-2-2111111-2-211-1-1112i2i−i−i−i−i−i−i−2i−2iiiiiii00000-20200−2i2i00-1-100110000ii−i−i000000
χ232222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1−2i−2i2i2i-2-2111111-2-211-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000020-200−2i2i001100-1-10000ii−i−i000000
χ242222222-1-2-2-2-22-12-12-1-122-1-1-1-1-1−2i−2i2i2i-2-2111111-2-211-1-111−2i−2iiiiiii2i2i−i−i−i−i−i−i00000-202002i−2i00-1-100110000−i−iii000000
χ25222222-122222-12-12-12-1-1-122-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000020202200-1-100-1-100-1-1-1-10000000000
χ26222222-122222-12-12-12-1-1-122-1-1-12222-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-20-20-2-2001100110011110000000000
χ27222222-122222-12-12-12-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100002020-2-200-1-100-1-10011110000000000
χ28222222-122222-12-12-12-1-1-122-1-1-1-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-211110000-20-20220011001100-1-1-1-10000000000
χ29222222-12-2-2-2-2-12-12-12-1-1-122-1-1-12i2i−2i−2i11-2-2111111-2-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii000020-202i−2i001100-1-100−i−iii0000000000
χ30222222-12-2-2-2-2-12-12-12-1-1-122-1-1-12i2i−2i−2i11-2-2111111-2-2-1-111−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2020−2i2i00-1-1001100ii−i−i0000000000
χ31222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1−2i−2i2i2i11-2-2111111-2-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i000020-20−2i2i001100-1-100ii−i−i0000000000
χ32222222-12-2-2-2-2-12-12-12-1-1-122-1-1-1−2i−2i2i2i11-2-2111111-2-2-1-111ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-20202i−2i00-1-1001100−i−iii0000000000
χ332222-2-22222-2-22222222-2-2-2-22220000-2-2-2-2-2-2-2-22222-2-222000000000000000022-2-2000000000000000000000000-220000
χ342222-2-22222-2-22222222-2-2-2-22220000-2-2-2-2-2-2-2-22222-2-2220000000000000000-2-2220000000000000000000000002-20000
χ352222-2-222-2-2222222222-2-2-2-2222000022222222-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000-2-20000
χ362222-2-222-2-2222222222-2-2-2-2222000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000000000000000000000000220000
χ372-2-222-2222i−2i2i−2i-2-222-2-222-22-22-2-200002i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2-22i−2i0000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23
χ382-2-222-2222i−2i2i−2i-2-222-2-222-22-22-2-200002i−2i2i−2i2i2i−2i−2i2i−2i2i−2i2-22i−2i00000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23
χ392-2-222-222−2i2i−2i2i-2-222-2-222-22-22-2-20000−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i2-2−2i2i00000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13
χ402-2-222-222−2i2i−2i2i-2-222-2-222-22-22-2-20000−2i2i−2i2i−2i−2i2i2i−2i2i−2i2i2-2−2i2i0000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13
χ412-2-22-22222i−2i−2i2i-2-222-2-22-22-222-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i-222i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ422-2-22-22222i−2i−2i2i-2-222-2-22-22-222-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2i−2i2i−2i−2i2i2i2i−2i2i−2i-222i−2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ230000000000000000000000000000000000
χ432-2-22-2222−2i2i2i−2i-2-222-2-22-22-222-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i2i−2i2i2i−2i−2i−2i2i−2i2i-22−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000000000000000000000000000
χ442-2-22-2222−2i2i2i−2i-2-222-2-22-22-222-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i2i−2i2i2i−2i−2i−2i2i−2i2i-22−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ452-2-22-222-12i−2i−2i2i-212-1-21-1-221-1-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2ii−iii−i−i2i−2i−ii1-1−ii−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000000000−i3i3003−30000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ462-2-22-222-12i−2i−2i2i-212-1-21-1-221-1-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2i2ii−iii−i−i2i−2i−ii1-1−ii−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000000000i3−i300−330000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ472-2-22-222-12i−2i−2i2i-212-1-21-1-221-1-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2ii−iii−i−i2i−2i−ii1-1−ii2ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000000000−i3i3003−30000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ482-2-22-222-12i−2i−2i2i-212-1-21-1-221-1-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2i2ii−iii−i−i2i−2i−ii1-1−ii2ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000000000i3−i300−330000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ492-2-22-222-1−2i2i2i−2i-212-1-21-1-221-1-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−ii−i−iii−2i2ii−i1-1i−i2ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000000000−i3i300−330000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ502-2-22-222-1−2i2i2i−2i-212-1-21-1-221-1-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132i−2i−ii−i−iii−2i2ii−i1-1i−i2ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000000000i3−i3003−30000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ512-2-22-222-1−2i2i2i−2i-212-1-21-1-221-1-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i−ii−i−iii−2i2ii−i1-1i−i−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000000000−i3i300−330000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ522-2-22-222-1−2i2i2i−2i-212-1-21-1-221-1-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132i−2i−ii−i−iii−2i2ii−i1-1i−i−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000000000i3−i3003−30000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ532-2-22-22-122i−2i−2i2i1-2-121-2-11-1-22-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i−i−2i2iii−i−i−ii2i−2i1-1−iiζ5+ζ13−ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000−i3i3003−300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ542-2-22-22-122i−2i−2i2i1-2-121-2-11-1-22-111−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23i−i−2i2iii−i−i−ii2i−2i1-1−iiζ5+ζ13−ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000i3−i300−3300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ552-2-22-22-122i−2i−2i2i1-2-121-2-11-1-22-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i−i−2i2iii−i−i−ii2i−2i1-1−ii−ζ5−ζ13ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000−i3i3003−300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000000000
χ562-2-22-22-122i−2i−2i2i1-2-121-2-11-1-22-1112ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23i−i−2i2iii−i−i−ii2i−2i1-1−ii−ζ5−ζ13ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000i3−i300−3300−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000000000
χ572-2-22-22-12−2i2i2i−2i1-2-121-2-11-1-22-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ii2i−2i−i−iiii−i−2i2i1-1i−i−ζ7−ζ23ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000−i3i300−3300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ582-2-22-22-12−2i2i2i−2i1-2-121-2-11-1-22-1112ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−ii2i−2i−i−iiii−i−2i2i1-1i−i−ζ7−ζ23ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000i3−i3003−300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ592-2-22-22-12−2i2i2i−2i1-2-121-2-11-1-22-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−ii2i−2i−i−iiii−i−2i2i1-1i−iζ7+ζ23−ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000−i3i300−3300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000000000
χ602-2-22-22-12−2i2i2i−2i1-2-121-2-11-1-22-111−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−ii2i−2i−i−iiii−i−2i2i1-1i−iζ7+ζ23−ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000i3−i3003−300−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000000000
χ61444444-2-24444-2-2-2-2-2-21-2-2-2-21114444-2-2-2-21111-2-2-2-21111-2-2-2-21111-2-2-2-211110000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-2111-4-4-4-4-2-2-2-21111-2-2-2-211112222-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ63444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21114i4i−4i−4i2222-1-1-1-1222211-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i0000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111−4i−4i4i4i2222-1-1-1-1222211-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii0000000000000000000000000000000000
χ654444-4-44-244-4-44-24-24-2-2-4-422-2-2-20000-4-422222244-2-222-2-200000000000000000000000000000000000000000000000000
χ664444-4-44-2-4-4444-24-24-2-2-4-422-2-2-2000044-2-2-2-2-2-2-4-422222200000000000000000000000000000000000000000000000000
χ674444-4-4-2444-4-4-24-24-24-222-4-4-2-2-2000022-4-42222-2-24422-2-200000000000000000000000000000000000000000000000000
χ684444-4-4-24-4-444-24-24-24-222-4-4-2-2-20000-2-244-2-2-2-222-4-4222200000000000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-2-2-2-2-21222211100002222-1-1-1-1-2-2-2-2-1-11100003i−3i3i−3i00003i−3i3i−3i0000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-2-2-2-2-21222211100002222-1-1-1-1-2-2-2-2-1-1110000−3i3i−3i3i0000−3i3i−3i3i0000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-2-2-2-2-2122221110000-2-2-2-211112222-1-1-1-100003-33-30000-33-330000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-2-2-2-2-2122221110000-2-2-2-211112222-1-1-1-10000-33-3300003-33-30000000000000000000000000000000000
χ7344-4-400440000-4-4-4-44440000-4-44000000000000000000000000000000000000004i−4i000000000000000000000000000000
χ7444-4-400440000-4-4-4-44440000-4-4400000000000000000000000000000000000000−4i4i000000000000000000000000000000
χ754-44-40044000044-4-4-4-440000-44-40000000000000000000000000000000000004-400000000000000000000000000000000
χ764-44-40044000044-4-4-4-440000-44-4000000000000000000000000000000000000-4400000000000000000000000000000000
χ774-4-444-44-24i−4i4i−4i-424-2-42-24-4-22-22200004i−4i−2i2i−2i−2i2i2i4i−4i−2i2i-22−2i2i00000000000000000000000000000000000000000000000000
χ784-4-444-44-2−4i4i−4i4i-424-2-42-24-4-22-2220000−4i4i2i−2i2i2i−2i−2i−4i4i2i−2i-222i−2i00000000000000000000000000000000000000000000000000
χ794-4-444-4-244i−4i4i−4i2-4-242-4-2-224-4-2220000−2i2i4i−4i−2i−2i2i2i−2i2i4i−4i-22−2i2i00000000000000000000000000000000000000000000000000
χ804-4-444-4-24−4i4i−4i4i2-4-242-4-2-224-4-22200002i−2i−4i4i2i2i−2i−2i2i−2i−4i4i-222i−2i00000000000000000000000000000000000000000000000000
χ814-4-444-4-2-24i−4i4i−4i22-2-2221-22-221-1-10000−2i2i−2i2iii−i−i−2i2i−2i2i1-1i−i00003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ2300003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000
χ824-4-444-4-2-24i−4i4i−4i22-2-2221-22-221-1-10000−2i2i−2i2iii−i−i−2i2i−2i2i1-1i−i0000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ230000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000
χ834-4-444-4-2-2−4i4i−4i4i22-2-2221-22-221-1-100002i−2i2i−2i−i−iii2i−2i2i−2i1-1−ii0000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ130000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000
χ844-4-444-4-2-2−4i4i−4i4i22-2-2221-22-221-1-100002i−2i2i−2i−i−iii2i−2i2i−2i1-1−ii00003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ1300003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000
χ854-4-44-44-2-24i−4i−4i4i22-2-22212-22-21-1-1−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ232i−2i2i−2i−i−iii−2i2i−2i2i-11i−i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000000000000000000000000000000000
χ864-4-44-44-2-24i−4i−4i4i22-2-22212-22-21-1-14ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ232i−2i2i−2i−i−iii−2i2i−2i2i-11i−i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ230000000000000000000000000000000000
χ874-4-44-44-2-2−4i4i4i−4i22-2-22212-22-21-1-14ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13−2i2i−2i2iii−i−i2i−2i2i−2i-11−ii−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000000000000000000000000000
χ884-4-44-44-2-2−4i4i4i−4i22-2-22212-22-21-1-1−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13−2i2i−2i2iii−i−i2i−2i2i−2i-11−ii2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000000000000000000000000000
χ8988-8-8008-40000-84-848-4-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-4800004-84-8-48-4000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-400004444-4-420000-2-22000000006-66-60000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-400004444-4-420000-2-2200000000-66-660000000000000000000000000000000000000000000000000000000000
χ938-88-8008-400008-4-84-84-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-800-480000-484-84-8-400004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-40000-4-4444420000-22-2000000006i−6i−6i6i0000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-40000-4-4444420000-22-200000000−6i6i6i−6i0000000000000000000000000000000000000000000000000000000000

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