Finite Group Databasebeta

← Group #11794596

Character table — Group #11794596

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1222-1-1-1-122222222-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-21111-1-1-1-10000
χ14222222222-122222222-1-1-1222-1-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-222-1-1-1-111110000
χ15222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-12222-1-1-1-1-2-2-2-21111111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1222-1-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-2-2-211112222-1-1-1-111111111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-21111-2-2-2-22222-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-122-2-2-1-1-1-1-1-1-1-1-1-1-122221111-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-1222-1-1-1222211111111-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-1-1-1-12222-2-2-2-21111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-22-2-2-222000022-2-222-22-2-22-2-2-20000000022-20022-2-22-2-222-2-222-2-2000000000000000000002222-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−20000000000000000
χ28222-22-2-2-222000022-2-222-22-2-22-2-2-20000000022-20022-2-22-2-222-2-222-2-2000000000000000000002222-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000
χ29222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002-220022-2-22-2-2-2-222-2-22200000000000000000000-2-2-2-222220000000022−2−2−2−22222−2−222−2−2−2−222−2−2220000000000000000
χ30222-22-2-2-222000022-2-222-22-2-22-2-2-2000000002-220022-2-22-2-2-2-222-2-22200000000000000000000-2-2-2-2222200000000−2−22222−2−2−2−222−2−22222−2−222−2−20000000000000000
χ31222-22-2-2-2-120000-1-11122-2-1112-2-2-2333−3−3−33−3-12-200-1-111-111-1-11122-2-233−3−3000000003333−3−3−3−3-1-1-1-111113333−3−3−3−322−2−222−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ32222-22-2-2-2-120000-1-11122-2-1112-2-2-2333−3−3−33−3-12-200-1-111-111-1-11122-2-233−3−3000000003333−3−3−3−3-1-1-1-111113333−3−3−3−3−2−222−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ33222-22-2-2-2-120000-1-11122-2-1112-2-2-2333−3−3−33−3-1-2200-1-111-11111-1-1-2-222−3−333000000003333−3−3−3−31111-1-1-1-1−3−3−3−3333322−2−2−2−222ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000
χ34222-22-2-2-2-120000-1-11122-2-1112-2-2-2333−3−3−33−3-1-2200-1-111-11111-1-1-2-222−3−333000000003333−3−3−3−31111-1-1-1-1−3−3−3−33333−2−22222−2−2−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ230000000000000000
χ35222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−3−3333−33-12-200-1-111-111-1-11122-2-2−3−33300000000−3−3−3−33333-1-1-1-11111−3−3−3−3333322−2−222−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ36222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−3−3333−33-12-200-1-111-111-1-11122-2-2−3−33300000000−3−3−3−33333-1-1-1-11111−3−3−3−33333−2−222−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ37222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−3−3333−33-1-2200-1-111-11111-1-1-2-22233−3−300000000−3−3−3−333331111-1-1-1-13333−3−3−3−322−2−2−2−222ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ70000000000000000
χ38222-22-2-2-2-120000-1-11122-2-1112-2-2-2−3−3−3333−33-1-2200-1-111-11111-1-1-2-22233−3−300000000−3−3−3−333331111-1-1-1-13333−3−3−3−3−2−22222−2−2−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ70000000000000000
χ3922-22-22-2-22222-2-22-22-22-22-22-2-2-2-2222-222-2-2-2200002-22-2-22-2000000000000000022-2-222-2-222-2-200000000000000000000000000000000000000002-20000002-22-20000
χ4022-22-22-2-22222-2-22-22-22-22-22-2-2-2-2222-222-2-2-2200002-22-2-22-2000000000000000022-2-222-2-222-2-20000000000000000000000000000000000000000-22000000-22-220000
χ4122-22-22-2-222-2-2222-22-22-22-22-2-2-2-22-2-22-2-2222200002-22-2-22-20000000000000000-2-222-2-222-2-2220000000000000000000000000000000000000000002i−2i2i−2i2i−2i00000000
χ4222-22-22-2-222-2-2222-22-22-22-22-2-2-2-22-2-22-2-2222200002-22-2-22-20000000000000000-2-222-2-222-2-222000000000000000000000000000000000000000000−2i2i−2i2i−2i2i00000000
χ4322-22-22-2-22-122-2-22-22-2-11-1-22-2111-122-222-2-2-2-10000-11-111-1100003−33−3000033−3−3-1-111-1-111-1-11133−3−333−3−333−3−333−3−30000000000000000000000002-2003−3−33-11-110000
χ4422-22-22-2-22-122-2-22-22-2-11-1-22-2111-122-222-2-2-2-10000-11-111-1100003−33−3000033−3−3-1-111-1-111-1-11133−3−333−3−333−3−333−3−3000000000000000000000000-2200−333−31-11-10000
χ4522-22-22-2-22-122-2-22-22-2-11-1-22-2111-122-222-2-2-2-10000-11-111-110000−33−330000−3−333-1-111-1-111-1-111−3−333−3−333−3−333−3−3330000000000000000000000002-200−333−3-11-110000
χ4622-22-22-2-22-122-2-22-22-2-11-1-22-2111-122-222-2-2-2-10000-11-111-110000−33−330000−3−333-1-111-1-111-1-111−3−333−3−333−3−333−3−333000000000000000000000000-22003−3−331-11-10000
χ4722-22-22-2-22-1-2-2222-22-2-11-1-22-2111-1-2-22-2-2222-10000-11-111-1100003−33−30000−3−33311-1-111-1-111-1-133−3−333−3−3−3−333−3−333000000000000000000000000002i−2i−ii−ii−i3i3i3−i30000
χ4822-22-22-2-22-1-2-2222-22-2-11-1-22-2111-1-2-22-2-2222-10000-11-111-1100003−33−30000−3−33311-1-111-1-111-1-133−3−333−3−3−3−333−3−33300000000000000000000000000−2i2ii−ii−ii3−i3−i3i30000
χ4922-22-22-2-22-1-2-2222-22-2-11-1-22-2111-1-2-22-2-2222-10000-11-111-110000−33−33000033−3−311-1-111-1-111-1-1−3−333−3−33333−3−333−3−3000000000000000000000000002i−2i−ii−iii3−i3−i3i30000
χ5022-22-22-2-22-1-2-2222-22-2-11-1-22-2111-1-2-22-2-2222-10000-11-111-110000−33−33000033−3−311-1-111-1-111-1-1−3−333−3−33333−3−333−3−300000000000000000000000000−2i2ii−ii−i−i3i3i3−i30000
χ512-22-2-22-22222-22-2-22-22-22-2-22-2-2-2222-222-22-2-220000-22-22-22-200000000000000002-22-22-22-22-22-200000000000000000000000000000000000000000000000000002i−2i00
χ522-22-2-22-22222-22-2-22-22-22-2-22-2-2-2222-222-22-2-220000-22-22-22-200000000000000002-22-22-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i00
χ532-22-2-22-2222-22-22-22-22-22-2-22-2-2-222-22-2-22-22220000-22-22-22-20000000000000000-22-22-22-22-22-220000000000000000000000000000000000000000000000000000002-2
χ542-22-2-22-2222-22-22-22-22-22-2-22-2-2-222-22-2-22-22220000-22-22-22-20000000000000000-22-22-22-22-22-22000000000000000000000000000000000000000000000000000000-22
χ552-2-222-2-22220000-2-222-2-222-2-22-22-2000000002002i−2i-2-2222-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i2−22−2−i2i2−i2i22−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ562-2-222-2-22220000-2-222-2-222-2-22-22-2000000002002i−2i-2-2222-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i−22−22i2−i2i2−i2−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ572-2-222-2-22220000-2-222-2-222-2-22-22-200000000200−2i2i-2-2222-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i2−22−2i2−i2i2−i22−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ582-2-222-2-22220000-2-222-2-222-2-22-22-200000000200−2i2i-2-2222-2-200000000−2i2i−2i2i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i−22−22−i2i2−i2i2−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ592-2-222-2-22-12000011-1-1-2-22-1112-22-23−3−3−3333−3-1002i−2i11-1-1-111−i3i3−i3i30000−ii−ii2i−2i2i−2i00003−3−33−333−3−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii2−22−2−i2i2−i2i2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ230000000000000000
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χ8044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-411111112222222222222222-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222144-4-41111111-2-2-2-2-2-2-2-2222222222222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221-4-444111111122222222-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000
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χ85444-44-4-4-4-2-20000-2-222-2-22-222-2222232323−23−23−2323−2314-40011-1-11-1-1-2-222-2-2222323−23−2300000000−3−3−3−333331111-1-1-1-1−3−3−3−333330000000000000000000000000000000000000000
χ86444-44-4-4-4-2-20000-2-222-2-22-222-2222232323−23−23−2323−231-440011-1-11-1-122-2-222-2-2−23−23232300000000−3−3−3−33333-1-1-1-111113333−3−3−3−30000000000000000000000000000000000000000
χ87444-44-4-4-4-2-20000-2-222-2-22-222-2222−23−23−23232323−232314-40011-1-11-1-1-2-222-2-222−23−232323000000003333−3−3−3−31111-1-1-1-13333−3−3−3−30000000000000000000000000000000000000000
χ88444-44-4-4-4-2-20000-2-222-2-22-222-2222−23−23−23232323−23231-440011-1-11-1-122-2-222-2-22323−23−23000000003333−3−3−3−3-1-1-1-11111−3−3−3−333330000000000000000000000000000000000000000
χ8944-44-44-4-4-2444-4-4-22-224-442-22-4-4-44-2-22-2-2222-20000-22-222-22000000000000000044-4-4-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ9044-44-44-4-4-24-4-444-22-224-442-22-4-4-4422-222-2-2-2-20000-22-222-220000000000000000-4-44422-2-222-2-200000000000000000000000000000000000000000000000000000000
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χ9244-44-44-4-4-2-244-4-4-22-22-22-22-22222-2-2-22-2-2222100001-11-1-11-10000−2323−23230000−23−232323-2-22211-1-111-1-133−3−333−3−333−3−333−3−30000000000000000000000000000000000000000
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χ9444-44-44-4-4-2-2-4-444-22-22-22-22-22222-222-222-2-2-2100001-11-1-11-10000−2323−232300002323−23−2322-2-2-1-111-1-11133−3−333−3−3−3−333−3−3330000000000000000000000000000000000000000
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χ10244-4-4-4-444-2-20000-222-2-22222-22-2-22−23−23232323−2323−23100001-1-11-1-11000023−23−232300000000000033−3−3−3−333−3−33333−3−3-3-33333-3-30000000000000000000000000000000000000000
χ10344-4-4-4-444-2-20000-222-2-22222-22-2-22−23−23232323−2323−23100001-1-11-1-110000−232323−2300000000000033−3−3−3−33333−3−3−3−33333-3-3-3-3330000000000000000000000000000000000000000
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χ1074-444-4-44-4-2400002-2-22-44422-2-44-4-423−2323−2323−23−2323-200002-2-2222-20000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1084-444-4-44-4-2400002-2-22-44422-2-44-4-4−2323−2323−232323−23-200002-2-2222-200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1094-444-4-44-4-2-200002-2-222-2-222-22-22223−2323−2323−23−232310000-111-1-1-11000000000000−2i32i32i3−2i30000−33−333−33−33i−3i−3i3i3i−3i−3i3ii3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
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χ1114-444-4-44-4-2-200002-2-222-2-222-22-222−2323−2323−232323−2310000-111-1-1-11000000000000−2i32i32i3−2i300003−33−3−33−33−3i3i3i−3i−3i3i3i−3ii3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000
χ1124-444-4-44-4-2-200002-2-222-2-222-22-222−2323−2323−232323−2310000-111-1-1-110000000000002i3−2i3−2i32i300003−33−3−33−333i−3i−3i3i3i−3i−3i3i−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000
χ1134-44-4-44-444-24-44-4-44-442-22-44-422-2-24-444-44-4-4-200002-22-22-220000000000000000-22-22-22-22-22-2200000000000000000000000000000000000000000000000000000000
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χ1154-44-4-44-44-244-44-42-22-2-44-42-22-4-444-22-2-22-222-200002-22-22-2200000000000000004-44-4-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1164-44-4-44-44-24-44-442-22-2-44-42-22-4-4442-222-22-2-2-200002-22-22-220000000000000000-44-442-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1174-44-4-44-44-2-24-44-42-22-22-222-2222-2-2-22-2-22-22210000-11-11-11-10000000000000000-22-221-11-11-11-13i−3i−3i3i−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1184-44-4-44-44-2-24-44-42-22-22-222-2222-2-2-22-2-22-22210000-11-11-11-10000000000000000-22-221-11-11-11-1−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1194-44-4-44-44-2-2-44-442-22-22-222-2222-2-22-222-22-2-210000-11-11-11-100000000000000002-22-2-11-11-11-113i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1204-44-4-44-44-2-2-44-442-22-22-222-2222-2-22-222-22-2-210000-11-11-11-100000000000000002-22-2-11-11-11-11−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1214-4-444-4-444-20000-4-44422-24-4-4-22-2200000000-2004i−4i22-2-2-222000000004i−4i4i−4i−2i2i−2i2i00000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ1224-4-444-4-444-20000-4-44422-24-4-4-22-2200000000-200−4i4i22-2-2-22200000000−4i4i−4i4i2i−2i2i−2i000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ1234-4-444-4-44-2-2000022-2-222-2-222-22-2223−23−23−23232323−231004i−4i-1-1111-1-1−2i32i3−2i32i30000−2i2i−2i2i−2i2i−2i2i0000−333−33−3−33i3−i3i3−i3i3−i3i3−i3i−ii−ii−ii−i0000000000000000000000000000000000000000
χ1244-4-444-4-44-2-2000022-2-222-2-222-22-2223−23−23−23232323−23100−4i4i-1-1111-1-12i3−2i32i3−2i300002i−2i2i−2i2i−2i2i−2i0000−333−33−3−33−i3i3−i3i3−i3i3−i3i3−ii−ii−ii−ii0000000000000000000000000000000000000000
χ1254-4-444-4-44-2-2000022-2-222-2-222-22-22−23232323−23−23−23231004i−4i-1-1111-1-12i3−2i32i3−2i30000−2i2i−2i2i−2i2i−2i2i00003−3−33−333−3−i3i3−i3i3−i3i3−i3i3i−ii−ii−ii−i0000000000000000000000000000000000000000
χ1264-4-444-4-44-2-2000022-2-222-2-222-22-22−23232323−23−23−2323100−4i4i-1-1111-1-1−2i32i3−2i32i300002i−2i2i−2i2i−2i2i−2i00003−3−33−333−3i3−i3i3−i3i3−i3i3−i3−ii−ii−ii−ii0000000000000000000000000000000000000000
χ1274-4-4-4444-44-24-4-44-4-4-4-4222444-2-22-24-4-44-4-444-200002222-2-2-20000000000000000-222-2-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1284-4-4-4444-44-2-444-4-4-4-4-4222444-2-22-2-444-444-4-4-200002222-2-2-200000000000000002-2-222-2-222-2-2200000000000000000000000000000000000000000000000000000000
χ1294-4-4-4444-4-2-24-4-442222222-2-2-2-2-22-2-222-222-2-210000-1-1-1-1111−2i32i32i3−2i30000−2i32i32i3−2i30000-222-21-1-111-1-11i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000
χ1304-4-4-4444-4-2-24-4-442222222-2-2-2-2-22-2-222-222-2-210000-1-1-1-11112i3−2i3−2i32i300002i3−2i3−2i32i30000-222-21-1-111-1-11−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000
χ1314-4-4-4444-4-2-2-444-42222222-2-2-2-2-22-22-2-22-2-22210000-1-1-1-1111−2i32i32i3−2i300002i3−2i3−2i32i300002-2-22-111-1-111-1i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000
χ1324-4-4-4444-4-2-2-444-42222222-2-2-2-2-22-22-2-22-2-22210000-1-1-1-11112i3−2i3−2i32i30000−2i32i32i3−2i300002-2-22-111-1-111-1−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000

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