Finite Group Databasebeta

← Group #13160217

Character table — Group #13160217

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11222222222222233444444444444444444444446666666666688888888888888888888812121212121212121212121216161616161616161618181818242424242424242424363636365454545472144216
order123333346666688443333666612121212122424242424242424242428812121212121212122666666661212121224242424242424246666242424242424242466666666616161616412121212121212124848484816161616264
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111111111-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ5111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ6111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11
χ7111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-11
χ8111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1
χ92222222222222-2-2222222222222222-2-2-2-2-2-2-2-2-2-22-2-2222222220000000002222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000
χ102222222222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-20000000002222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000
χ112222222-222222002222222222-2-2-2-2-20000000000-20022222222000000000-2-2-2-200000000-2-2-2-20000000000000000022−2−200000000022−2−222−2−2000
χ122222222-222222002222222222-2-2-2-2-20000000000-20022222222000000000-2-2-2-200000000-2-2-2-200000000000000000−2−222000000000−2−222−2−222000
χ132222222-22222200-2-222222222-2-2-2-2-20000000000200-2-2-2-2-2-2-2-2000000000-2-2-2-20000000022220000000000000000022−2−200000000022−2−2−2−222000
χ142222222-22222200-2-222222222-2-2-2-2-20000000000200-2-2-2-2-2-2-2-2000000000-2-2-2-200000000222200000000000000000−2−222000000000−2−22222−2−2000
χ15222222-12-122222200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-12222000000000-1-1-1-100002-10
χ16222222-12-122222200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000222222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-2-2-2-200000000011110000-210
χ17222222-12-122222200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000001111111112222000000000-1-1-1-10000-210
χ18222222-12-122222200-1-1-1-1-1-1-1-1-1222222222222-1-100000000000-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1000000000000111111111-2-2-2-2000000000111100002-10
χ19222-1-1-12222-1-1-122222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-10000222-1-1-1-1-1-100000000000
χ20222-1-1-12222-1-1-122222-1-1-12-1-1-122-1-1-122-1-1-1-1-1-12222222-1-1-1-1-1-1-2-2-21111112-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-21111110000-2-2-211111100000000000
χ21222-1-1-12222-1-1-122-2-22-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2-2111111222-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2111-2-2111111222-1-1-1-1-1-10000-2-2-211111100000000000
χ22222-1-1-12222-1-1-122-2-22-1-1-12-1-1-122-1-1-122-1-1-1-1-1-122-2-2-2-2-2111111-2-2-21111112-1-1-122-1-1-1-1-1-1-2111-2-2111111-2-2-21111110000222-1-1-1-1-1-100000000000
χ23222-1-1-12222-1-1-1-2-2222-1-1-12-1-1-122-1-1-1-2-2111111-2-22-2-222-1-1-1-1-1-1000−i3−i3−i3i3i3i32-1-1-1-2-21111112-1-1-1-2-2111111000−i3−i3−i3i3i3i30000000−i3−i3−i3i3i3i300000000000
χ24222-1-1-12222-1-1-1-2-2222-1-1-12-1-1-122-1-1-1-2-2111111-2-22-2-222-1-1-1-1-1-1000i3i3i3−i3−i3−i32-1-1-1-2-21111112-1-1-1-2-2111111000i3i3i3−i3−i3−i30000000i3i3i3−i3−i3−i300000000000
χ25222-1-1-12222-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-2-2111111-2-2-222-2-2111111000−i3−i3−i3i3i3i32-1-1-1-2-2111111-211122-1-1-1-1-1-1000−i3−i3−i3i3i3i30000000i3i3i3−i3−i3−i300000000000
χ26222-1-1-12222-1-1-1-2-2-2-22-1-1-12-1-1-122-1-1-1-2-2111111-2-2-222-2-2111111000i3i3i3−i3−i3−i32-1-1-1-2-2111111-211122-1-1-1-1-1-1000i3i3i3−i3−i3−i30000000−i3−i3−i3i3i3i300000000000
χ2722-12-1-1222-12-1-12222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-12-1-12-1-12-1-1-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-12-1-12-1-12-1-100002-1-12-1-12-1-100000000000
χ2822-12-1-1222-12-1-12222-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122222-1-122-1-1-1-1-211-211-211-12-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-211-211-2110000-211-211-21100000000000
χ2922-12-1-1222-12-1-122-2-2-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122-2-2-211-2-211112-1-12-1-12-1-1-12-1-1-1-122-1-1-1-11-21111-2-211112-1-12-1-12-1-10000-211-211-21100000000000
χ3022-12-1-1222-12-1-122-2-2-12-1-1-12-1-12-12-1-1-1-122-1-1-1-122-2-2-211-2-21111-211-211-211-12-1-1-1-122-1-1-1-11-21111-2-21111-211-211-21100002-1-12-1-12-1-100000000000
χ3122-12-1-1222-12-1-1-2-222-12-1-1-12-1-12-12-1-111-2-21111-2-22-2-2-1-122-1-1-1-10−i3i30−i3i30−i3i3-12-1-111-2-21111-12-1-111-2-211110−i3i30−i3i30−i3i300000−i3i30−i3i30−i3i300000000000
χ3222-12-1-1222-12-1-1-2-222-12-1-1-12-1-12-12-1-111-2-21111-2-22-2-2-1-122-1-1-1-10i3−i30i3−i30i3−i3-12-1-111-2-21111-12-1-111-2-211110i3−i30i3−i30i3−i300000i3−i30i3−i30i3−i300000000000
χ3322-12-1-1222-12-1-1-2-2-2-2-12-1-1-12-1-12-12-1-111-2-21111-2-2-22211-2-211110−i3i30−i3i30−i3i3-12-1-111-2-211111-211-1-122-1-1-1-10−i3i30−i3i30−i3i300000i3−i30i3−i30i3−i300000000000
χ3422-12-1-1222-12-1-1-2-2-2-2-12-1-1-12-1-12-12-1-111-2-21111-2-2-22211-2-211110i3−i30i3−i30i3−i3-12-1-111-2-211111-211-1-122-1-1-1-10i3−i30i3−i30i3−i300000−i3i30−i3i30−i3i300000000000
χ3522-1-12-1222-1-12-12222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-12-1-1-12-1-1-12-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-12-1-1-12-1-1-1200002-1-1-12-1-1-1200000000000
χ3622-1-12-1222-1-12-12222-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122222-1-1-1-122-1-1-2111-2111-2-1-12-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-2111-2111-20000-2111-2111-200000000000
χ3722-1-12-1222-1-12-122-2-2-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122-2-2-21111-2-2112-1-1-12-1-1-12-1-12-1-1-1-1-122-1-111-211111-2-2112-1-1-12-1-1-120000-2111-2111-200000000000
χ3822-1-12-1222-1-12-122-2-2-1-12-1-1-12-12-1-12-1-1-1-1-122-1-122-2-2-21111-2-211-2111-2111-2-1-12-1-1-1-1-122-1-111-211111-2-211-2111-2111-200002-1-1-12-1-1-1200000000000
χ3922-1-12-1222-1-12-1-2-222-1-12-1-1-12-12-1-12-11111-2-211-2-22-2-2-1-1-1-122-1-10−i3i3i30−i3−i3i30-1-12-11111-2-211-1-12-11111-2-2110−i3i3i30−i3−i3i3000000−i3i3i30−i3−i3i3000000000000
χ4022-1-12-1222-1-12-1-2-222-1-12-1-1-12-12-1-12-11111-2-211-2-22-2-2-1-1-1-122-1-10i3−i3−i30i3i3−i30-1-12-11111-2-211-1-12-11111-2-2110i3−i3−i30i3i3−i3000000i3−i3−i30i3i3−i3000000000000
χ4122-1-12-1222-1-12-1-2-2-2-2-1-12-1-1-12-12-1-12-11111-2-211-2-2-2221111-2-2110−i3i3i30−i3−i3i30-1-12-11111-2-21111-21-1-1-1-122-1-10−i3i3i30−i3−i3i3000000i3−i3−i30i3i3−i3000000000000
χ4222-1-12-1222-1-12-1-2-2-2-2-1-12-1-1-12-12-1-12-11111-2-211-2-2-2221111-2-2110i3−i3−i30i3i3−i30-1-12-11111-2-21111-21-1-1-1-122-1-10i3−i3−i30i3i3−i3000000−i3i3i30−i3−i3i3000000000000
χ4322-1-1-12222-1-1-122222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-1222-1-1-1-12-12-1-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-1222-1-1-1-12-12-100002-1-1-1-12-12-100000000000
χ4422-1-1-12222-1-1-122222-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222222-1-1-1-1-1-122-21111-21-21-1-1-12-1-1-1-1-1-122-1-1-12-1-1-1-1-1-122-21111-21-210000-21111-21-2100000000000
χ4522-1-1-12222-1-1-1222-2-2-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222-2-2-2111111-2-22-1-1-1-12-12-1-1-1-12-1-1-1-1-1-122111-2111111-2-22-1-1-1-12-12-10000-21111-21-2100000000000
χ4622-1-1-12222-1-1-1222-2-2-1-1-12-1-1-122-1-1-12-1-1-1-1-1-12222-2-2-2111111-2-2-21111-21-21-1-1-12-1-1-1-1-1-122111-2111111-2-2-21111-21-2100002-1-1-1-12-12-100000000000
χ4722-1-1-12222-1-1-12-2-222-1-1-12-1-1-122-1-1-12111111-2-2-2-22-2-2-1-1-1-1-1-1220−i3i3−i3i30i30−i3-1-1-12111111-2-2-1-1-12111111-2-20−i3i3−i3i30i30−i300000−i3i3−i3i30i30−i300000000000
χ4822-1-1-12222-1-1-12-2-222-1-1-12-1-1-122-1-1-12111111-2-2-2-22-2-2-1-1-1-1-1-1220i3−i3i3−i30−i30i3-1-1-12111111-2-2-1-1-12111111-2-20i3−i3i3−i30−i30i300000i3−i3i3−i30−i30i300000000000
χ4922-1-1-12222-1-1-12-2-2-2-2-1-1-12-1-1-122-1-1-12111111-2-2-2-2-222111111-2-20−i3i3−i3i30i30−i3-1-1-12111111-2-2111-2-1-1-1-1-1-1220−i3i3−i3i30i30−i300000i3−i3i3−i30−i30i300000000000
χ5022-1-1-12222-1-1-12-2-2-2-2-1-1-12-1-1-122-1-1-12111111-2-2-2-2-222111111-2-20i3−i3i3−i30−i30i3-1-1-12111111-2-2111-2-1-1-1-1-1-1220i3−i3i3−i30−i30i300000−i3i3−i3i30i30−i300000000000
χ512-2222220-2-2-2-2-22−22i−2i2222-2-2-2-2000002−22−22−22−22−20−i2i22i−2i2i−2i2i−2i2i−2i00000000000002−22−22−22−20000−i2i2−i2i2−i2i2−i2i2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000
χ522-2222220-2-2-2-2-22−22i−2i2222-2-2-2-2000002−22−22−22−22−20−i2i22i−2i2i−2i2i−2i2i−2i00000000000002−22−22−22−20000−i2i2−i2i2−i2i2−i2i2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000
χ532-2222220-2-2-2-2-22−2−2i2i2222-2-2-2-2000002−22−22−22−22−20i2−i2−2i2i−2i2i−2i2i−2i2i00000000000002−22−22−22−20000i2−i2i2−i2i2−i2i2−i2000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000
χ542-2222220-2-2-2-2-22−2−2i2i2222-2-2-2-2000002−22−22−22−22−20i2−i2−2i2i−2i2i−2i2i−2i2i00000000000002−22−22−22−20000i2−i2i2−i2i2−i2i2−i2000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000
χ552-2222220-2-2-2-2-2−222i−2i2222-2-2-2-200000−22−22−22−22−220i2−i22i−2i2i−2i2i−2i2i−2i0000000000000−22−22−22−220000i2−i2i2−i2i2−i2i2−i2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000
χ562-2222220-2-2-2-2-2−222i−2i2222-2-2-2-200000−22−22−22−22−220i2−i22i−2i2i−2i2i−2i2i−2i0000000000000−22−22−22−220000i2−i2i2−i2i2−i2i2−i2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000
χ572-2222220-2-2-2-2-2−22−2i2i2222-2-2-2-200000−22−22−22−22−220−i2i2−2i2i−2i2i−2i2i−2i2i0000000000000−22−22−22−220000−i2i2−i2i2−i2i2−i2i2000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000
χ582-2222220-2-2-2-2-2−22−2i2i2222-2-2-2-200000−22−22−22−22−220−i2i2−2i2i−2i2i−2i2i−2i2i0000000000000−22−22−22−220000−i2i2−i2i2−i2i2−i2i2000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000
χ59444444-24-24444-4-400-2-2-2-2-2-2-2-2-24444-4-4-4-4-4-4-4-42200000000000000000000-2-2-2-222222222000000000000000000000000000000000000000000000
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χ904-44-2-2-240-4-422222−224i−4i4-2-2-2-42220000022−22−22−22−2222−220−2i22i24i−4i−2i2i−2i2i−2i2i000000000000022−22−22−22−220000−2i22i2i2−i2i2−i2i2−i2000000000000000000000000000000000
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χ934-44-2-2-240-4-4222−2222−4i4i4-2-2-2-422200000−22222−22−22−2−22220−2i22i2−4i4i2i−2i2i−2i2i−2i0000000000000−22222−22−22−20000−2i22i2i2−i2i2−i2i2−i2000000000000000000000000000000000
χ944-4-24-2-240-42-42222−224i−4i-24-2-22-42200000−2222−22−22−2222−220−2i22i2−2i2i4i−4i−2i2i−2i2i0000000000000−2222−22−22−220000i2−i2−2i22i2i2−i2i2−i2000000000000000000000000000000000
χ954-4-24-2-240-42-42222−22−4i4i-24-2-22-42200000−2222−22−22−2222−2202i2−2i22i−2i−4i4i2i−2i2i−2i0000000000000−2222−22−22−220000−i2i22i2−2i2−i2i2−i2i2000000000000000000000000000000000
χ964-4-24-2-240-42-422−22224i−4i-24-2-22-422000002−2−22222−22−2−222202i2−2i2−2i2i4i−4i−2i2i−2i2i00000000000002−2−22222−22−20000−i2i22i2−2i2−i2i2−i2i2000000000000000000000000000000000
χ974-4-24-2-240-42-422−2222−4i4i-24-2-22-422000002−2−22222−22−2−22220−2i22i22i−2i−4i4i2i−2i2i−2i00000000000002−2−22222−22−20000i2−i2−2i22i2i2−i2i2−i2000000000000000000000000000000000
χ984-4-2-24-240-422-4222−224i−4i-2-24-222-4200000−22−2222−22−2222−220−2i22i2−2i2i−2i2i4i−4i−2i2i0000000000000−22−2222−22−220000i2−i2i2−i2−2i22i2i2−i2000000000000000000000000000000000
χ994-4-2-24-240-422-4222−22−4i4i-2-24-222-4200000−22−2222−22−2222−2202i2−2i22i−2i2i−2i−4i4i2i−2i0000000000000−22−2222−22−220000−i2i2−i2i22i2−2i2−i2i2000000000000000000000000000000000
χ1004-4-2-24-240-422-42−22224i−4i-2-24-222-42000002−22−2−22222−2−222202i2−2i2−2i2i−2i2i4i−4i−2i2i00000000000002−22−2−22222−20000−i2i2−i2i22i2−2i2−i2i2000000000000000000000000000000000
χ1014-4-2-24-240-422-42−2222−4i4i-2-24-222-42000002−22−2−22222−2−22220−2i22i22i−2i2i−2i−4i4i2i−2i00000000000002−22−2−22222−20000i2−i2i2−i2−2i22i2i2−i2000000000000000000000000000000000
χ1024-4-2-2-2440-4222-422−224i−4i-2-2-24222-400000−22−22−2222−2222−220−2i22i2−2i2i−2i2i−2i2i4i−4i0000000000000−22−22−2222−220000i2−i2i2−i2i2−i2−2i22i2000000000000000000000000000000000
χ1034-4-2-2-2440-4222-422−22−4i4i-2-2-24222-400000−22−22−2222−2222−2202i2−2i22i−2i2i−2i2i−2i−4i4i0000000000000−22−22−2222−220000−i2i2−i2i2−i2i22i2−2i2000000000000000000000000000000000
χ1044-4-2-2-2440-4222-4−22224i−4i-2-2-24222-4000002−22−22−2−2222−222202i2−2i2−2i2i−2i2i−2i2i4i−4i00000000000002−22−22−2−22220000−i2i2−i2i2−i2i22i2−2i2000000000000000000000000000000000
χ1054-4-2-2-2440-4222-4−2222−4i4i-2-2-24222-4000002−22−22−2−2222−22220−2i22i22i−2i2i−2i2i−2i−4i4i00000000000002−22−22−2−22220000i2−i2i2−i2i2−i2−2i22i2000000000000000000000000000000000
χ106888-4-4-4-4-8-48-4-4-40000-4222-42224-84440000000000000000000000000000004-2-2-200000000000000000000000000000000000000000000000000000
χ10788-48-4-4-4-8-4-48-4-400002-4222-42244-844000000000000000000000000000000-24-2-200000000000000000000000000000000000000000000000000000
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χ1108-88-4-4-4-404-844442−4200-42224-2-2-20000042−42−2222−2222−2222−2222000000000000000000000000−22222−22−22−2000000000000000000000000000000000000000000000
χ1118-88-4-4-4-404-8444−424200-42224-2-2-200000−424222−2222−2222−2222−2200000000000000000000000022−22−22−22−22000000000000000000000000000000000000000000000
χ1128-8-48-4-4-4044-84442−42002-422-24-2-200000−222242−42−2222−2222−22220000000000000000000000002−2−22222−22−2000000000000000000000000000000000000000000000
χ1138-8-48-4-4-4044-844−4242002-422-24-2-20000022−22−424222−2222−2222−22000000000000000000000000−2222−22−22−22000000000000000000000000000000000000000000000
χ1148-8-4-48-4-40444-8442−420022-42-2-24-200000−2222−222242−42−2222−22220000000000000000000000002−22−2−22222−2000000000000000000000000000000000000000000000
χ1158-8-4-48-4-40444-84−42420022-42-2-24-20000022−2222−22−424222−2222−22000000000000000000000000−22−2222−22−22000000000000000000000000000000000000000000000
χ1168-8-4-4-48-404444-842−4200222-4-2-2-2400000−2222−2222−222242−42−22220000000000000000000000002−22−22−2−2222000000000000000000000000000000000000000000000
χ1178-8-4-4-48-404444-8−424200222-4-2-2-240000022−2222−2222−22−424222−22000000000000000000000000−22−22−2222−22000000000000000000000000000000000000000000000

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