Finite Group Databasebeta

← Group #13156608

Character table — Group #13156608

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222222222224444444444444444444444446666666666666666666666668888888888121212121212121212121212121212121212121212121212181818181818181818181818242424242424242424727272727272216
order12223334466666666612121212333666666666121212121212121212121212444488881212121212121212242424242424242436661212121212121212121212121212121212122424242424242424242424248888242424242424242426666666644121212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-111-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-11
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1111111-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200002222-2-2-2-2000000002222-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-22222000000002222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000000000000000000000000
χ11222222-12222222-1-12-122222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222-1-1-1-1-1-120-1-1000
χ12222222-12222222-1-12-122222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222222200002222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2111111-2011000
χ13222222-12222222-1-12-122222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000222-1-1-1-1-1-1-2011000
χ14222222-12222222-1-12-122222-1-122-1-12-1-1-1-12-1-122-1-1-1-1222-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000-2-2-211111120-1-1000
χ15222222-1-2-222222-1-12-1-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-222-2-200002222-2-2-2-200000000-1-1-1-1111111-1-111-1-1-1-11111000000000000000000000000000−i3i3−i3−i3i3i300−i3i3000
χ16222222-1-2-222222-1-12-1-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-222-2-200002222-2-2-2-200000000-1-1-1-1111111-1-111-1-1-1-11111000000000000000000000000000i3−i3i3i3−i3−i300i3−i3000
χ17222222-1-2-222222-1-12-1-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-2-2-2220000-2-2-2-2222200000000-1-1-1-111111111-1-11111-1-1-1-1000000000000000000000000000−i3i3−i3−i3i3i300i3−i3000
χ18222222-1-2-222222-1-12-1-2-2-2-22-1-122-1-12-1-1-1-1-211-2-21111-2-2-2-2-2220000-2-2-2-2222200000000-1-1-1-111111111-1-11111-1-1-1-1000000000000000000000000000i3−i3i3i3−i3−i300−i3i3000
χ1922222-1222-1-122222-122222-12-1-1-1-1-1-12-122-122-1-12222-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-10200-1-10
χ2022222-1222-1-122222-122222-12-1-1-1-1-1-12-122-122-1-12222-1-1-1000022220000000022222222-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-2-211110-200110
χ2122222-1222-1-122222-122222-12-1-1-1-1-1-12-122-122-1-12222-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000000000001111111111110000000000002-1-122-1-1-1-10-200110
χ2222222-1222-1-122222-122222-12-1-1-1-1-1-12-122-122-1-12222-1-1-10000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1000000000000111111111111000000000000-211-2-211110200-1-10
χ232222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-12-1-1222-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000
χ242222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-12-1-1222-1-1-1-1-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111110000000000000000
χ252222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-12-1-1222-1-1-1-1-1-12-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000000000
χ262222-1222222-1-1-12222-1-1-1-1-1-12-1-122-1-12-1-1222-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-10000000000000000
χ272222-122-2-222-1-1-122221111-1-12-1-122-1-12-1-1-2-2-2111111-21122-2-20000-1-1-1-111113333−3−3−3−3-1-1-1-1-2-2111122-2-2-1-1-1-1111100003333−3−3−3−300003333−3−3−3−30000000000000000
χ282222-122-2-222-1-1-122221111-1-12-1-122-1-12-1-1-2-2-2111111-21122-2-20000-1-1-1-11111−3−3−3−33333-1-1-1-1-2-2111122-2-2-1-1-1-111110000−3−3−3−333330000−3−3−3−333330000000000000000
χ292222-122-2-222-1-1-122221111-1-12-1-122-1-12-1-1-2-2-2111111-211-2-22200001111-1-1-1-13333−3−3−3−3-1-1-1-1-2-21111-2-2221111-1-1-1-100003333−3−3−3−30000−3−3−3−333330000000000000000
χ302222-122-2-222-1-1-122221111-1-12-1-122-1-12-1-1-2-2-2111111-211-2-22200001111-1-1-1-1−3−3−3−33333-1-1-1-1-2-21111-2-2221111-1-1-1-10000−3−3−3−3333300003333−3−3−3−30000000000000000
χ3122-2-2222002-2-22-22-2-2-200002222-22-2-2-2-22-2000000000000002i−2i−i2−i2i2i200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i222-2-2000000002i−2i00002i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−20000000000000000
χ3222-2-2222002-2-22-22-2-2-200002222-22-2-2-2-22-2000000000000002i−2ii2i2−i2−i200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i222-2-2000000002i−2i00002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−2220000000000000000
χ3322-2-2222002-2-22-22-2-2-200002222-22-2-2-2-22-200000000000000−2i2i−i2−i2i2i20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i222-2-200000000−2i2i0000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−2220000000000000000
χ3422-2-2222002-2-22-22-2-2-200002222-22-2-2-2-22-200000000000000−2i2ii2i2−i2−i20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i222-2-200000000−2i2i0000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−20000000000000000
χ3522-2-2-122002-21-112-2-2-23−33−3-1-12-112-211-2-110003−333−3−303−3002i−2i−i2−i2i2i2−i3−i3i3i3−i−iiiζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-1110033−3−3002i−2i−i3−i3i3i3−i−iii−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ3622-2-2-122002-21-112-2-2-23−33−3-1-12-112-211-2-110003−333−3−303−3002i−2ii2i2−i2−i2−i3−i3i3i3−i−iii−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-1110033−3−3002i−2i−i3−i3i3i3−i−iiii2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ3722-2-2-122002-21-112-2-2-23−33−3-1-12-112-211-2-110003−333−3−303−300−2i2i−i2−i2i2i2i3i3−i3−i3ii−i−iζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23-1-1110033−3−300−2i2ii3i3−i3−i3ii−i−i−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ3822-2-2-122002-21-112-2-2-23−33−3-1-12-112-211-2-110003−333−3−303−300−2i2ii2i2−i2−i2i3i3−i3−i3ii−i−i−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23-1-1110033−3−300−2i2ii3i3−i3−i3ii−i−ii2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ3922-2-2-122002-21-112-2-2-2−33−33-1-12-112-211-2-11000−33−3−3330−33002i−2i−i2−i2i2i2i3i3−i3−i3−i−iiiζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-11100−3−333002i−2ii3i3−i3−i3−i−iii−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ4022-2-2-122002-21-112-2-2-2−33−33-1-12-112-211-2-11000−33−3−3330−33002i−2ii2i2−i2−i2i3i3−i3−i3−i−iii−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-11100−3−333002i−2ii3i3−i3−i3−i−iiii2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ4122-2-2-122002-21-112-2-2-2−33−33-1-12-112-211-2-11000−33−3−3330−3300−2i2i−i2−i2i2i2−i3−i3i3i3ii−i−iζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7-1-11100−3−33300−2i2i−i3−i3i3i3ii−i−i−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ4222-2-2-122002-21-112-2-2-2−33−33-1-12-112-211-2-11000−33−3−3330−3300−2i2ii2i2−i2−i2−i3−i3i3i3ii−i−i−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7-1-11100−3−33300−2i2i−i3−i3i3i3ii−i−ii2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ432-22-222200-22-2-22-22-2-20000222-22-22-2-2-2-220000000000002i−2i00−i2i2−i2i22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i22-22-20000002i−2i002i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−20000000000000000
χ442-22-222200-22-2-22-22-2-20000222-22-22-2-2-2-220000000000002i−2i00i2−i2i2−i22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i22-22-20000002i−2i002i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−220000000000000000
χ452-22-222200-22-2-22-22-2-20000222-22-22-2-2-2-22000000000000−2i2i00−i2i2−i2i2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i22-22-2000000−2i2i00−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−220000000000000000
χ462-22-222200-22-2-22-22-2-20000222-22-22-2-2-2-22000000000000−2i2i00i2−i2i2−i2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i22-22-2000000−2i2i00−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−20000000000000000
χ472-22-2-12200-2211-1-22-2-23−3−33-1-121-1-2211-21-1000−333−33−303−32i−2i00−i2i2−i2i2−ii−ii−i3i3−i3i3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-11-11003−33−32i−2i00−ii−ii−i3i3−i3i3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ70000000000000000
χ482-22-2-12200-2211-1-22-2-23−3−33-1-121-1-2211-21-1000−333−33−303−32i−2i00i2−i2i2−i2−ii−ii−i3i3−i3i3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-11-11003−33−32i−2i00−ii−ii−i3i3−i3i3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ70000000000000000
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χ1154-4-44-24-24-4-4-4-222224-2-2-222-21-22222-21-2-1-1-4-22221-1-114-2-20000000023−23−2323−232323−23000000001-1-11-221-1-110000−333−33−3−330000000000000000000000000000000000000000
χ1164-4-44-24-24-4-4-4-222224-2-2-222-21-22222-21-2-1-1-4-22221-1-114-2-200000000−232323−2323−23−2323000000001-1-11-221-1-1100003−3−33−333−30000000000000000000000000000000000000000
χ1174-4-44-24-2-44-4-4-222224-222-2-2-21-22222-21-2-1-142-2-2-2-111-1-4220000000023−23−232323−23−2323000000001-1-112-2-111-10000−333−3−333−30000000000000000000000000000000000000000
χ1184-4-44-24-2-44-4-4-222224-222-2-2-21-22222-21-2-1-142-2-2-2-111-1-42200000000−232323−23−232323−23000000001-1-112-2-111-100003−3−333−3−330000000000000000000000000000000000000000
χ1194-4-44-2-244-422-222-4-4-24-2-2221-2-2-1-1221-2-22224-4-1-1-222-2-21100004-4-4400000000-222-2-222-21-1-11-221-1-11000000000000-222-21-1-111-1-110000000000000000000000000000
χ1204-4-44-2-244-422-222-4-4-24-2-2221-2-2-1-1221-2-22224-4-1-1-222-2-2110000-444-4000000002-2-222-2-221-1-11-221-1-110000000000002-2-22-111-1-111-10000000000000000000000000000
χ1214-4-44-2-24-4422-222-4-4-2422-2-21-2-2-1-1221-2-222-2-44112-2-222-1-1000000000000000023−23−2323−232323−231-1-112-2-111-10000000000000000−333−33−3−330000000000000000000000000000
χ1224-4-44-2-24-4422-222-4-4-2422-2-21-2-2-1-1221-2-222-2-44112-2-222-1-10000000000000000−232323−2323−23−23231-1-112-2-111-100000000000000003−3−33−333−30000000000000000000000000000
χ1238888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4222222-422000000000000000000000000-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000
χ1248888-4-4-4-8-8-4-4-4-4-4-4-4-4-44444222222222222444-2-2-2-2-2-24-2-2000000000000000000000000-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000
χ12588-8-88-4-400-44-88-8-44440000-4-42-442-244-2-4400000000000000000000000000000000000022-2-20000000000000000000000000000000000000000000000000000000000
χ12688-8-8-4-4-400-444-44-444443−4343−432222-22-2-2-2-22-2000−2323−23−2323230−2323000000000000000000000000-1-1110033−3−30000000000000000000000000000000000000000000000000000
χ12788-8-8-4-4-400-444-44-4444−4343−43432222-22-2-2-2-22-200023−232323−23−23023−23000000000000000000000000-1-11100−3−3330000000000000000000000000000000000000000000000000000
χ1288-88-88-4-4004-4-8-884-4440000-4-424-4-2244-24-40000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000
χ1298-88-8-4-4-4004-444-44-44443−43−4343222-22-22-2-2-2-2200023−23−2323−23230−2323000000000000000000000000-11-11003−33−30000000000000000000000000000000000000000000000000000
χ1308-88-8-4-4-4004-444-44-444−434343−43222-22-22-2-2-2-22000−232323−2323−23023−23000000000000000000000000-11-1100−33−330000000000000000000000000000000000000000000000000000
χ1318-8-88-4-4-48-844-44444-4-4-4-444222-2-2-2-2222-2-24-44-2-22-2-22-422000000000000000000000000-111-12-2-111-10000000000000000000000000000000000000000000000000000
χ1328-8-88-4-4-4-8844-44444-4-444-4-4222-2-2-2-2222-2-2-44-422-222-24-2-2000000000000000000000000-111-1-221-1-110000000000000000000000000000000000000000000000000000

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