Finite Group Databasebeta

← Group #11899524

Character table — Group #11899524

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222223344444444666666666888888121212121212121616161818181824242424487211222222233444444446666666668888881212121212121216161618181818242424244872
order123346688443612122424242428812121616161641212122424624244848484812121216161616226664226646688446612122424242428812121616161641212122424624244848484812121216161616226664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-11111111111-1-1-11111-1-1-1-1-1-11111111111111111111111111111-1-1-11111111111-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-11-111-1-1111111111111111111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-11-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111
χ5111111111-1-111111111-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-11-1-11-1111111111-1-111111111-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-11-1-11-1
χ6111111111-1-111111111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-1-1-11-111-11111111111-1-111111111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-1-1-11-111-11
χ7111111111-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1-11
χ8111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1
χ92222222-2-2222222-2-2-2-22-2-22200000002-2-22-2-2000000000000000002222222-2-2222222-2-2-2-22-2-22200000002-2-22-2-200000000000000000
χ102222222-2-2-2-22222-2-2-2-2-222-2-200000002-2-2-222000000000000000002222222-2-2-2-22222-2-2-2-2-222-2-200000002-2-2-22200000000000000000
χ112222-222002222-2-20000-2002222−2−2000-200-20022−2−200022−2−20000002222-222002222-2-20000-2002222−2−2000-200-20022−2−200022−2−2000000
χ122222-222002222-2-20000-20022−2−222000-200-200−2−222000−2−2220000002222-222002222-2-20000-20022−2−222000-200-200−2−222000−2−222000000
χ132222-22200-2-222-2-20000200-2-222−2−2000-20020022−2−2000−2−2220000002222-22200-2-222-2-20000200-2-222−2−2000-20020022−2−2000−2−222000000
χ142222-22200-2-222-2-20000200-2-2−2−222000-200200−2−22200022−2−20000002222-22200-2-222-2-20000200-2-2−2−222000-200200−2−22200022−2−2000000
χ15222-122-12222-1-12-1-1-122222-1-100002-1-1-1-1-1-1-1-100002-1-1000020-1-100222-122-12222-1-12-1-1-122222-1-100002-1-1-1-1-1-1-1-100002-1-1000020-1-100
χ16222-122-12222-1-12-1-1-122222-1-10000-211-1-1-1-1-1-10000-2110000-201100222-122-12222-1-12-1-1-122222-1-10000-211-1-1-1-1-1-10000-2110000-201100
χ17222-122-122-2-2-1-12-1-1-122-2-2-21100002-1-1-1-1-111100002-1-10000-201100222-122-122-2-2-1-12-1-1-122-2-2-21100002-1-1-1-1-111100002-1-10000-201100
χ18222-122-122-2-2-1-12-1-1-122-2-2-2110000-211-1-1-11110000-211000020-1-100222-122-122-2-2-1-12-1-1-122-2-2-2110000-211-1-1-11110000-211000020-1-100
χ19222-122-1-2-222-1-12-111-2-22-2-2-1-100000−i3i3-111-11100000−i3i3000000−i3i300222-122-1-2-222-1-12-111-2-22-2-2-1-100000−i3i3-111-11100000−i3i3000000−i3i300
χ20222-122-1-2-222-1-12-111-2-22-2-2-1-100000i3−i3-111-11100000i3−i3000000i3−i300222-122-1-2-222-1-12-111-2-22-2-2-1-100000i3−i3-111-11100000i3−i3000000i3−i300
χ21222-122-1-2-2-2-2-1-12-111-2-2-2221100000−i3i3-1111-1-100000−i3i3000000i3−i300222-122-1-2-2-2-2-1-12-111-2-2-2221100000−i3i3-1111-1-100000−i3i3000000i3−i300
χ22222-122-1-2-2-2-2-1-12-111-2-2-2221100000i3−i3-1111-1-100000i3−i3000000−i3i300222-122-1-2-2-2-2-1-12-111-2-2-2221100000i3−i3-1111-1-100000i3−i3000000−i3i300
χ2322-122-122200-1-1-1222-1-1000002222222-1-1-1000-1-1-1-1-1-1-100000200-1022-122-122200-1-1-1222-1-1000002222222-1-1-1000-1-1-1-1-1-1-100000200-10
χ2422-122-122200-1-1-1222-1-1000002222-2-2-2-1-1-1000-1-1-1-111100000-2001022-122-122200-1-1-1222-1-1000002222-2-2-2-1-1-1000-1-1-1-111100000-20010
χ2522-122-122200-1-1-1222-1-100000-2-2-2-2222-1-1-10001111-1-1-100000-2001022-122-122200-1-1-1222-1-100000-2-2-2-2222-1-1-10001111-1-1-100000-20010
χ2622-122-122200-1-1-1222-1-100000-2-2-2-2-2-2-2-1-1-1000111111100000200-1022-122-122200-1-1-1222-1-100000-2-2-2-2-2-2-2-1-1-1000111111100000200-10
χ272-2220-2-22−22i−2i2-2002−22−20−i2i22i−2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300002−20−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2220-2-22−22i−2i2-2002−22−20−i2i22i−2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300002−20−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ282-2220-2-22−22i−2i2-2002−22−20−i2i22i−2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300002−20−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2220-2-22−22i−2i2-2002−22−20−i2i22i−2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300002−20−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ292-2220-2-22−2−2i2i2-2002−22−20i2−i2−2i2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300002−20i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000002-2220-2-22−2−2i2i2-2002−22−20i2−i2−2i2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300002−20i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ302-2220-2-22−2−2i2i2-2002−22−20i2−i2−2i2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300002−20i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000002-2220-2-22−2−2i2i2-2002−22−20i2−i2−2i2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300002−20i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ312-2220-2-2−222i−2i2-200−22−220i2−i22i−2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000−220i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2220-2-2−222i−2i2-200−22−220i2−i22i−2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000−220i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ322-2220-2-2−222i−2i2-200−22−220i2−i22i−2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000−220i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2220-2-2−222i−2i2-200−22−220i2−i22i−2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000−220i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ332-2220-2-2−22−2i2i2-200−22−220−i2i2−2i2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000−220−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000002-2220-2-2−22−2i2i2-200−22−220−i2i2−2i2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000−220−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ342-2220-2-2−22−2i2i2-200−22−220−i2i2−2i2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000−220−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000002-2220-2-2−22−2i2i2-200−22−220−i2i2−2i2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000−220−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ35444-2-44-20044-2-2-420000-400-2-2000000020020000000000000000000444-2-44-20044-2-2-420000-400-2-2000000020020000000000000000000
χ36444-2-44-200-4-4-2-2-420000400220000000200-20000000000000000000444-2-44-200-4-4-2-2-420000400220000000200-20000000000000000000
χ3744-244-24-4-400-2-2-24-4-422000000000000-2220000000000000000000044-244-24-4-400-2-2-24-4-422000000000000-22200000000000000000000
χ3844-24-4-240000-2-22-40000000002222−22−22000200000−2−222000000000000044-24-4-240000-2-22-40000000002222−22−22000200000−2−2220000000000000
χ3944-24-4-240000-2-22-4000000000−22−22222200020000022−2−2000000000000044-24-4-240000-2-22-4000000000−22−22222200020000022−2−20000000000000
χ4044-2-24-2-2440011-2-2-2-2-2-20000000004-2-21110000000-211000000000044-2-24-2-2440011-2-2-2-2-2-20000000004-2-21110000000-2110000000000
χ4144-2-24-2-2440011-2-2-2-2-2-2000000000-42211100000002-1-1000000000044-2-24-2-2440011-2-2-2-2-2-2000000000-42211100000002-1-10000000000
χ4244-2-24-2-2-4-40011-2-222220000000000−2i32i31-1-100000000i3−i3000000000044-2-24-2-2-4-40011-2-222220000000000−2i32i31-1-100000000i3−i30000000000
χ4344-2-24-2-2-4-40011-2-2222200000000002i3−2i31-1-100000000−i3i3000000000044-2-24-2-2-4-40011-2-2222200000000002i3−2i31-1-100000000−i3i30000000000
χ444-44-20-4222−224i−4i-2200−2222−220−2i22i2−2i2i00000000−220i2−i2000000000000000004-44-20-4222−224i−4i-2200−2222−220−2i22i2−2i2i00000000−220i2−i200000000000000000
χ454-44-20-4222−22−4i4i-2200−2222−2202i2−2i22i−2i00000000−220−i2i2000000000000000004-44-20-4222−22−4i4i-2200−2222−2202i2−2i22i−2i00000000−220−i2i200000000000000000
χ464-44-20-42−22224i−4i-22002−2−222202i2−2i2−2i2i000000002−20−i2i2000000000000000004-44-20-42−22224i−4i-22002−2−222202i2−2i2−2i2i000000002−20−i2i200000000000000000
χ474-44-20-42−2222−4i4i-22002−2−22220−2i22i22i−2i000000002−20i2−i2000000000000000004-44-20-42−2222−4i4i-22002−2−22220−2i22i22i−2i000000002−20i2−i200000000000000000
χ484-4-2402-422−2200-220022−22−2200000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000−22000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000000004-4-2402-422−2200-220022−22−2200000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000−22000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000
χ494-4-2402-422−2200-220022−22−22000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000−22000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000000004-4-2402-422−2200-220022−22−22000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000−22000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000
χ504-4-2402-4−222200-2200−22222−2000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700002−2000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000000004-4-2402-4−222200-2200−22222−2000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700002−2000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000
χ514-4-2402-4−222200-2200−22222−200000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700002−2000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000000004-4-2402-4−222200-2200−22222−200000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700002−2000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000
χ5288-4-4-8-4-4000022440000000000000000-2000000000000000000000088-4-4-8-4-4000022440000000000000000-20000000000000000000000
χ538-8-4-404442−42002-200−2222−222200000000000002−2000000000000000000008-8-4-404442−42002-200−2222−222200000000000002−200000000000000000000
χ548-8-4-4044−4242002-20022−2222−220000000000000−22000000000000000000008-8-4-4044−4242002-20022−2222−220000000000000−2200000000000000000000
χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ561111111111111111111111111111-1-1-11111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111
χ57111111111111111111111111-1-1-1-1111111111-1-1-1-1111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-11111-11-1-111
χ58111111111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111111111-111-1-1
χ59111111111-1-111111111-1-1-1-1-11111111111-1-1-11111111-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111111-111-11
χ60111111111-1-111111111-1-1-1-1-11111-1-1-1111-1-1-11111-1-1-1-1-1-1-11-111-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1111-1-1-1111-1-1-1-11111111-11-1-11-1
χ61111111111-1-111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-1
χ62111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-11
χ632222222-2-2222222-2-2-2-22-2-22200000002-2-22-2-200000000000000000-2-2-2-2-2-2-222-2-2-2-2-2-22222-222-2-20000000-222-22200000000000000000
χ642222222-2-2-2-22222-2-2-2-2-222-2-200000002-2-2-22200000000000000000-2-2-2-2-2-2-22222-2-2-2-222222-2-2220000000-2222-2-200000000000000000
χ652222-222002222-2-20000-2002222−2−2000-200-20022−2−200022−2−2000000-2-2-2-22-2-200-2-2-2-2220000200-2-2−2−222000200200−2−222000−2−222000000
χ662222-222002222-2-20000-20022−2−222000-200-200−2−222000−2−222000000-2-2-2-22-2-200-2-2-2-2220000200-2-222−2−200020020022−2−200022−2−2000000
χ672222-22200-2-222-2-20000200-2-222−2−2000-20020022−2−2000−2−222000000-2-2-2-22-2-20022-2-2220000-20022−2−222000200-200−2−22200022−2−2000000
χ682222-22200-2-222-2-20000200-2-2−2−222000-200200−2−22200022−2−2000000-2-2-2-22-2-20022-2-2220000-2002222−2−2000200-20022−2−2000−2−222000000
χ69222-122-12222-1-12-1-1-122222-1-100002-1-1-1-1-1-1-1-100002-1-1000020-1-100-2-2-21-2-21-2-2-2-211-2111-2-2-2-2-2110000-2111111110000-2110000-201100
χ70222-122-12222-1-12-1-1-122222-1-10000-211-1-1-1-1-1-10000-2110000-201100-2-2-21-2-21-2-2-2-211-2111-2-2-2-2-21100002-1-111111100002-1-1000020-1-100
χ71222-122-122-2-2-1-12-1-1-122-2-2-21100002-1-1-1-1-111100002-1-10000-201100-2-2-21-2-21-2-22211-2111-2-2222-1-10000-211111-1-1-10000-211000020-1-100
χ72222-122-122-2-2-1-12-1-1-122-2-2-2110000-211-1-1-11110000-211000020-1-100-2-2-21-2-21-2-22211-2111-2-2222-1-100002-1-1111-1-1-100002-1-10000-201100
χ73222-122-1-2-222-1-12-111-2-22-2-2-1-100000−i3i3-111-11100000−i3i3000000−i3i300-2-2-21-2-2122-2-211-21-1-122-2221100000i3−i31-1-11-1-100000i3−i3000000i3−i300
χ74222-122-1-2-222-1-12-111-2-22-2-2-1-100000i3−i3-111-11100000i3−i3000000i3−i300-2-2-21-2-2122-2-211-21-1-122-2221100000−i3i31-1-11-1-100000−i3i3000000−i3i300
χ75222-122-1-2-2-2-2-1-12-111-2-2-2221100000−i3i3-1111-1-100000−i3i3000000i3−i300-2-2-21-2-21222211-21-1-1222-2-2-1-100000i3−i31-1-1-11100000i3−i3000000−i3i300
χ76222-122-1-2-2-2-2-1-12-111-2-2-2221100000i3−i3-1111-1-100000i3−i3000000−i3i300-2-2-21-2-21222211-21-1-1222-2-2-1-100000−i3i31-1-1-11100000−i3i3000000i3−i300
χ7722-122-122200-1-1-1222-1-1000002222222-1-1-1000-1-1-1-1-1-1-100000200-10-2-21-2-21-2-2-200111-2-2-21100000-2-2-2-2-2-2-2111000111111100000-20010
χ7822-122-122200-1-1-1222-1-1000002222-2-2-2-1-1-1000-1-1-1-111100000-20010-2-21-2-21-2-2-200111-2-2-21100000-2-2-2-22221110001111-1-1-100000200-10
χ7922-122-122200-1-1-1222-1-100000-2-2-2-2222-1-1-10001111-1-1-100000-20010-2-21-2-21-2-2-200111-2-2-211000002222-2-2-2111000-1-1-1-111100000200-10
χ8022-122-122200-1-1-1222-1-100000-2-2-2-2-2-2-2-1-1-1000111111100000200-10-2-21-2-21-2-2-200111-2-2-211000002222222111000-1-1-1-1-1-1-100000-20010
χ812-2220-2-22−22i−2i2-2002−22−20−i2i22i−2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300002−20−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000-22-2-2022−22−2i2i-2200−22−220i2−i2−2i2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000−220i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ822-2220-2-22−22i−2i2-2002−22−20−i2i22i−2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300002−20−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000-22-2-2022−22−2i2i-2200−22−220i2−i2−2i2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000−220i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ832-2220-2-22−2−2i2i2-2002−22−20i2−i2−2i2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300002−20i2−i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000-22-2-2022−222i−2i-2200−22−220−i2i22i−2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000−220−i2i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ842-2220-2-22−2−2i2i2-2002−22−20i2−i2−2i2iζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300002−20i2−i2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000-22-2-2022−222i−2i-2200−22−220−i2i22i−2i−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000−220−i2i2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ852-2220-2-2−222i−2i2-200−22−220i2−i22i−2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000−220i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000-22-2-20222−2−2i2i-22002−22−20−i2i2−2i2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700002−20−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ862-2220-2-2−222i−2i2-200−22−220i2−i22i−2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000−220i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000-22-2-20222−2−2i2i-22002−22−20−i2i2−2i2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700002−20−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ872-2220-2-2−22−2i2i2-200−22−220−i2i2−2i2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000−220−i2i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000-22-2-20222−22i−2i-22002−22−20i2−i22i−2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700002−20i2−i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ882-2220-2-2−22−2i2i2-200−22−220−i2i2−2i2i−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000−220−i2i2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000-22-2-20222−22i−2i-22002−22−20i2−i22i−2iζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700002−20i2−i2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ89444-2-44-20044-2-2-420000-400-2-2000000020020000000000000000000-4-4-424-4200-4-4224-20000400220000000-200-20000000000000000000
χ90444-2-44-200-4-4-2-2-420000400220000000200-20000000000000000000-4-4-424-420044224-20000-400-2-20000000-20020000000000000000000
χ9144-244-24-4-400-2-2-24-4-422000000000000-22200000000000000000000-4-42-4-42-44400222-444-2-20000000000002-2-200000000000000000000
χ9244-24-4-240000-2-22-40000000002222−22−22000200000−2−2220000000000000-4-42-442-4000022-24000000000−22−222222000-20000022−2−20000000000000
χ9344-24-4-240000-2-22-4000000000−22−22222200020000022−2−20000000000000-4-42-442-4000022-240000000002222−22−22000-200000−2−2220000000000000
χ9444-2-24-2-2440011-2-2-2-2-2-20000000004-2-21110000000-2110000000000-4-422-422-4-400-1-1222222000000000-422-1-1-100000002-1-10000000000
χ9544-2-24-2-2440011-2-2-2-2-2-2000000000-42211100000002-1-10000000000-4-422-422-4-400-1-12222220000000004-2-2-1-1-10000000-2110000000000
χ9644-2-24-2-2-4-40011-2-222220000000000−2i32i31-1-100000000i3−i30000000000-4-422-4224400-1-122-2-2-2-200000000002i3−2i3-11100000000−i3i30000000000
χ9744-2-24-2-2-4-40011-2-2222200000000002i3−2i31-1-100000000−i3i30000000000-4-422-4224400-1-122-2-2-2-20000000000−2i32i3-11100000000i3−i30000000000
χ984-44-20-4222−224i−4i-2200−2222−220−2i22i2−2i2i00000000−220i2−i200000000000000000-44-4204-2−2222−4i4i2-2002−2−222202i2−2i22i−2i000000002−20−i2i200000000000000000
χ994-44-20-4222−22−4i4i-2200−2222−2202i2−2i22i−2i00000000−220−i2i200000000000000000-44-4204-2−22224i−4i2-2002−2−22220−2i22i2−2i2i000000002−20i2−i200000000000000000
χ1004-44-20-42−22224i−4i-22002−2−222202i2−2i2−2i2i000000002−20−i2i200000000000000000-44-4204-222−22−4i4i2-200−2222−220−2i22i22i−2i00000000−220i2−i200000000000000000
χ1014-44-20-42−2222−4i4i-22002−2−22220−2i22i22i−2i000000002−20i2−i200000000000000000-44-4204-222−224i−4i2-200−2222−2202i2−2i2−2i2i00000000−220−i2i200000000000000000
χ1024-4-2402-422−2200-220022−22−2200000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000−22000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000-442-40-24−2222002-200−22222−2000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4300002−2000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000
χ1034-4-2402-422−2200-220022−22−22000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000−22000−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000000000000-442-40-24−2222002-200−22222−200000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300002−2000ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000000000000
χ1044-4-2402-4−222200-2200−22222−2000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700002−2000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000-442-40-2422−22002-20022−22−2200000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000−22000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000
χ1054-4-2402-4−222200-2200−22222−200000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700002−2000ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000000000000-442-40-2422−22002-20022−22−22000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000−22000−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000000000000
χ10688-4-4-8-4-4000022440000000000000000-20000000000000000000000-8-8448440000-2-2-4-4000000000000000020000000000000000000000
χ1078-8-4-404442−42002-200−2222−222200000000000002−200000000000000000000-88440-4-4−424200-220022−2222−220000000000000−2200000000000000000000
χ1088-8-4-4044−4242002-20022−2222−220000000000000−2200000000000000000000-88440-4-442−4200-2200−2222−222200000000000002−200000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.