Finite Group Databasebeta

← Group #13161754

Character table — Group #13161754

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181836363636363636363636363636363672727272727272727272
order122233344666666666121212123333366666666666666688121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424244422244668812122424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-1-111-1-1-1-111
χ6111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1
χ7111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1111-1-111-1-1
χ8111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111-1-1-111-1-111
χ92222222-2-2222222222-2-2-2-22222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000022-20000-2-2002200000000000000
χ102222222-2-2222222222-2-2-2-22222222222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-2-2200002200-2-200000000000000
χ11222222-122222-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10002200000000000020-1-1-1-10000
χ12222222-122222-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-2000000000000-2011110000
χ13222222-122222-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111111111111111100022000000000000-20-1-1110000
χ14222222-122222-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000-2-20000000000002011-1-10000
χ1522222-12222-1-1222-122-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12220000-1-122-1-1-1-1-1-10000000000
χ1622222-12222-1-1222-122-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000011-2-21111110000000000
χ1722222-12222-1-1222-122-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111112220000-1-1-2-2-1-111110000000000
χ1822222-12222-1-1222-122-1-1-1-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111-2-2-20000112211-1-1-1-10000000000
χ1922222-12-2-22-1-1222-1221111-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-100-2-211-2-2111111-2-211-2-211111133−3−300003333−3−3−3−3000000000000333333333333−3−3−3−3−3−3−3−3−3−3−3−322-200001100-1-133−3−30000000000
χ2022222-12-2-22-1-1222-1221111-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-100-2-211-2-2111111-2-211-2-211111133−3−300003333−3−3−3−3000000000000333333333333−3−3−3−3−3−3−3−3−3−3−3−3-2-220000-1-10011−3−3330000000000
χ2122222-12-2-22-1-1222-1221111-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-100-2-211-2-2111111-2-211-2-2111111−3−3330000−3−3−3−33333000000000000−3−3−3−3−3−3−3−3−3−3−3−333333333333322-200001100-1-1−3−3330000000000
χ2222222-12-2-22-1-1222-1221111-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-100-2-211-2-2111111-2-211-2-2111111−3−3330000−3−3−3−33333000000000000−3−3−3−3−3−3−3−3−3−3−3−3333333333333-2-220000-1-1001133−3−30000000000
χ232222-12222-1222222-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000220000000000020000-1-1-1-1
χ242222-12222-1222222-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1222-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000-2-200000000000-200001111
χ252222-12222-1222222-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-22-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-211111111000002200000000000-2000011-1-1
χ262222-12222-1222222-1-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-22-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111-2-2-2-211111111-2-2-2-21111111100000-2-20000000000020000-1-111
χ2722-2-22220022-22-2-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-22−20000000000000000000000002−22−222−2−222−2−222−2−222−2−22222−2−2−2−222−2−22222−2−2−2−222−2−22222−2−2−2−22i−2i0000000−i2i22i−2i−i2i2−i2i20000000000
χ2822-2-22220022-22-2-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-22−20000000000000000000000002−22−222−2−222−2−222−2−222−2−22222−2−2−2−222−2−22222−2−2−2−222−2−22222−2−2−2−2−2i2i0000000i2−i2−2i2ii2−i2i2−i20000000000
χ2922-2-22220022-22-2-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-2−22000000000000000000000000−22−22−2−222−2−222−2−222−2−222−2−2−2−22222−2−222−2−2−2−22222−2−222−2−2−2−222222i−2i0000000i2−i22i−2ii2−i2i2−i20000000000
χ3022-2-22220022-22-2-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-2−22000000000000000000000000−22−22−2−222−2−222−2−222−2−222−2−2−2−22222−2−222−2−2−2−22222−2−222−2−2−2−22222−2i2i0000000−i2i2−2i2i−i2i2−i2i20000000000
χ3122-2-22-12002-112-2-21-2-23−33−3-12-1-1-1-112-2-11-1-1111-21112−2003−3003−333−3−3003−3003−333−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−22222−2−2−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ232i−2i00000−i3i3−i2i2−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ3222-2-22-12002-112-2-21-2-23−33−3-12-1-1-1-112-2-11-1-1111-21112−2003−3003−333−3−3003−3003−333−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−22222−2−2−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−2i2i00000i3−i3i2−i2i−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3322-2-22-12002-112-2-21-2-23−33−3-12-1-1-1-112-2-11-1-1111-2111−22003−3003−333−3−3003−3003−333−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−222−2−2−2−22222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ232i−2i00000−i3i3i2−i2−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3422-2-22-12002-112-2-21-2-23−33−3-12-1-1-1-112-2-11-1-1111-2111−22003−3003−333−3−3003−3003−333−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−222−2−2−2−22222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−2i2i00000i3−i3−i2i2i−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ3522-2-22-12002-112-2-21-2-2−33−33-12-1-1-1-112-2-11-1-1111-21112−200−3300−33−3−33300−3300−33−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ722−2−22222−2−2−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ72i−2i00000i3−i3−i2i2−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ3622-2-22-12002-112-2-21-2-2−33−33-12-1-1-1-112-2-11-1-1111-21112−200−3300−33−3−33300−3300−33−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ722−2−22222−2−2−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−2i2i00000−i3i3i2−i2i−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ3722-2-22-12002-112-2-21-2-2−33−33-12-1-1-1-112-2-11-1-1111-2111−2200−3300−33−3−33300−3300−33−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2−222−2−2−2−22222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ72i−2i00000i3−i3i2−i2−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ3822-2-22-12002-112-2-21-2-2−33−33-12-1-1-1-112-2-11-1-1111-2111−2200−3300−33−3−33300−3300−33−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2−222−2−2−2−22222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−2i2i00000−i3i3−i2i2i−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ392-2-222222-2-2-2-2-2-222-2222-2-222222-2-2-2-2-2-2-2-2-2-22222200-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000000000000000000002-2000000000000002-2000000
χ402-2-222222-2-2-2-2-2-222-2222-2-222222-2-2-2-2-2-2-2-2-2-22222200-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000000000000-2200000000000000-22000000
χ412-2-22222-22-2-2-2-2-222-22-2-22222222-2-2-2-2-2-2-2-2-2-22222200222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000002-20000000000000000002-2
χ422-2-22222-22-2-2-2-2-222-22-2-22222222-2-2-2-2-2-2-2-2-2-22222200222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000-22000000000000000000-22
χ432-2-2222-12-2-2-2-211-12-2222-2-22-1-1-1-1-2-2111111112-1-1-1-1001-2-2-211111111-1222-1-1-1-1-1-1-1-10000000000000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30002-200000000000000-11−i3i30000
χ442-2-2222-12-2-2-2-211-12-2222-2-22-1-1-1-1-2-2111111112-1-1-1-1001-2-2-211111111-1222-1-1-1-1-1-1-1-10000000000000000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000-22000000000000001-1i3−i30000
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χ1244-4-4444-2-44-4-4-422-24-44-4-4444-2-2-2-2-4-4222222224-2-2-2-200-2444-2-2-2-2-2-2-2-22-4-4-4222222220000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1254-4-444-244-4-422-4-44-2-44-2-222-24-2-2-222-4-4222222-24-2-2-200-4-422-4-422222244-2-244-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-444-24-44-422-4-44-2-4422-2-2-24-2-2-222-4-4222222-24-2-2-20044-2-244-2-2-2-2-2-2-4-422-4-42222220000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-444-2-24-4-42222-2-2-44-2-222-2-21112222-1-1-1-1-1-1-2-2111002-42222-1-1-1-1-1-1-24-2-2-2-21111110000000000000000−2i32i3−2i32i3−2i3−2i32i32i3−2i3−2i32i32i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000
χ1284-4-444-2-24-4-42222-2-2-44-2-222-2-21112222-1-1-1-1-1-1-2-2111002-42222-1-1-1-1-1-1-24-2-2-2-211111100000000000000002i3−2i32i3−2i32i32i3−2i3−2i32i32i3−2i3−2i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000
χ1294-4-444-2-2-44-42222-2-2-4422-2-2-2-21112222-1-1-1-1-1-1-2-211100-24-2-2-2-21111112-42222-1-1-1-1-1-100000000000000000000000000003i−3i3i−3i3i3i−3i−3i3i3i−3i−3i−3i3i−3i3i−3i−3i3i3i−3i−3i3i3i000000000000000000000000000
χ1304-4-444-2-2-44-42222-2-2-4422-2-2-2-21112222-1-1-1-1-1-1-2-211100-24-2-2-2-21111112-42222-1-1-1-1-1-10000000000000000000000000000−3i3i−3i3i−3i−3i3i3i−3i−3i3i3i3i−3i3i−3i3i3i−3i−3i3i3i−3i−3i000000000000000000000000000
χ1314-4-44-2444-42-4-4-4-4442-244-4-4-2-24-2-22222-4-42222-2-24-2-200-422222-4-422224-2-2-2-2-244-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-24-24-42-4-422-242-244-4-4-21-21122-1-122-1-1-1-1-21-211002222-1-122-1-1-1-1-2-2-2-211-2-211110000000000000000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000
χ1334-4-44-24-24-42-4-422-242-244-4-4-21-21122-1-122-1-1-1-1-21-211002222-1-122-1-1-1-1-2-2-2-211-2-2111100000000000000002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000
χ1344-4-44-24-2-442-4-422-242-2-4-444-21-21122-1-122-1-1-1-1-21-21100-2-2-2-211-2-211112222-1-122-1-1-1-1000023−2323−2323−2323−2323−2323−230000−33−33−33−330000−33−33−33−330000−33−33−33−33000000000000000000000000000
χ1354-4-44-24-2-442-4-422-242-2-4-444-21-21122-1-122-1-1-1-1-21-21100-2-2-2-211-2-211112222-1-122-1-1-1-10000−2323−2323−2323−2323−2323−232300003−33−33−33−300003−33−33−33−300003−33−33−33−3000000000000000000000000000
χ1364-4-44-2-244-4222-4-44-22-2-2-2221-2-211-1-12222-1-1-1-11-2-21100-42-1-12222-1-1-1-14-211-2-2-2-21111000000003-33-3-33-3300000000000000003-33-33-33-30000-33-33-33-33000000000000000000000000000
χ1374-4-44-2-244-4222-4-44-22-2-2-2221-2-211-1-12222-1-1-1-11-2-21100-42-1-12222-1-1-1-14-211-2-2-2-2111100000000-33-333-33-30000000000000000-33-33-33-3300003-33-33-33-3000000000000000000000000000
χ1384-4-44-2-24-44222-4-44-22-222-2-21-2-211-1-12222-1-1-1-11-2-211004-211-2-2-2-21111-42-1-12222-1-1-1-1000023−2323−23−33−33−33−33000023−2323−2323−2323−230000−33−33−33−330000−33−33−33−33000000000000000000000000000
χ1394-4-44-2-24-44222-4-44-22-222-2-21-2-211-1-12222-1-1-1-11-2-211004-211-2-2-2-21111-42-1-12222-1-1-1-10000−2323−23233−33−33−33−30000−2323−2323−2323−232300003−33−33−33−300003−33−33−33−3000000000000000000000000000
χ1404-4-44-2-2-24-422222-2-22-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i320022-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000003-33-3-33-33−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i3−3−i323−i32−3+i323+i32−3−i323−i32−3+i323+i32i3−i3i3−i33−i32−3−i323+i32−3+i323−i32−3−i323+i32−3+i32000000000000000000000000000
χ1414-4-44-2-2-24-422222-2-22-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i320022-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3200000000-33-333-33-32i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i33+i32−3+i323−i32−3−i323+i32−3+i323−i32−3−i32−i3i3−i3i3−3+i323+i32−3−i323−i32−3+i323+i32−3−i323−i32000000000000000000000000000
χ1424-4-44-2-2-24-422222-2-22-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i320022-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000003-33-3-33-332i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3−i3i3−i3i3−3+i323+i32−3−i323−i32−3+i323+i32−3−i323−i32−i3i3−i3i33+i32−3+i323−i32−3−i323+i32−3+i323−i32−3−i32000000000000000000000000000
χ1434-4-44-2-2-24-422222-2-22-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i320022-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3200000000-33-333-33-3−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3i3−i3i3−i33−i32−3−i323+i32−3+i323−i32−3−i323+i32−3+i32i3−i3i3−i3−3−i323−i32−3+i323+i32−3−i323−i32−3+i323+i32000000000000000000000000000
χ1444-4-44-2-2-2-4422222-2-22-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3200-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000023−2323−23−33−33−33−330000−33−33−33−333i−3i3i−3iζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22−3i3i−3i3i−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22000000000000000000000000000
χ1454-4-44-2-2-2-4422222-2-22-222-2-2111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i3200-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i320000−2323−23233−33−33−33−300003−33−33−33−3−3i3i−3i3i−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ223i−3i3i−3i2ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ22000000000000000000000000000
χ1464-4-44-2-2-2-4422222-2-22-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3200-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000023−2323−23−33−33−33−330000−33−33−33−33−3i3i−3i3i−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ223i−3i3i−3iζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22ζ14+2ζ222ζ14+ζ22−2ζ14−ζ22−ζ14−2ζ22000000000000000000000000000
χ1474-4-44-2-2-2-4422222-2-22-222-2-2111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i3200-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i320000−2323−23233−33−33−33−300003−33−33−33−33i−3i3i−3i2ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ22−3i3i−3i3i−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22−ζ14−2ζ22−2ζ14−ζ222ζ14+ζ22ζ14+2ζ22000000000000000000000000000

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