Finite Group Databasebeta

← Group #13161755

Character table — Group #13161755

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size111122222222222222222244444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181836363636363636363636363636363672727272727272727272
order122233344666666666121212123333366666666666666688121212121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424244422244668812122424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111
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
χ7111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111-11111-1-1-1-1
χ8111111111111111111111111111111111111111111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-11-1-1-1-11111
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
χ11222222-1222222-1-12-1222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10002200000000000002-1-100-1-100
χ12222222-1222222-1-12-1222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000000-211001100
χ13222222-1222222-1-12-1222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000220000000000000-2-1-1001100
χ14222222-1222222-1-12-1222222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-1222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111111111111111000-2-2000000000000021100-1-100
χ1522222-122222-1-12222-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000002200000000002000-1-100-1-1
χ1622222-122222-1-12222-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000-2-20000000000-2000110011
χ1722222-122222-1-12222-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000220000000000-20001100-1-1
χ1822222-122222-1-12222-12222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-22-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-211111111111111111111111100000-2-200000000002000-1-10011
χ192222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12220000-1-122-1-1-1-1-1-10000000000
χ202222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2000011-2-21111110000000000
χ212222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-211111111111111112220000-1-1-2-2-1-111110000000000
χ222222-12222-1-12222-122-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-2-2-21111111111111111-2-2-20000112211-1-1-1-10000000000
χ232222-122-2-2-1-12222-1221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-100-2-21111-2-21111-2-21111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−30000000033333333−3−3−3−3−3−3−3−322-200001100-1-133−3−30000000000
χ242222-122-2-2-1-12222-1221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-100-2-21111-2-21111-2-21111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−30000000033333333−3−3−3−3−3−3−3−3-2-220000-1-10011−3−3330000000000
χ252222-122-2-2-1-12222-1221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-100-2-21111-2-21111-2-21111-2-21111−3−3330000−3−3−3−333330000−3−3−3−3333300000000−3−3−3−3−3−3−3−33333333322-200001100-1-1−3−3330000000000
χ262222-122-2-2-1-12222-1221111-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-100-2-21111-2-21111-2-21111-2-21111−3−3330000−3−3−3−333330000−3−3−3−3333300000000−3−3−3−3−3−3−3−333333333-2-220000-1-1001133−3−30000000000
χ2722-2-2222002-22-22-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-2−i2i2000000000000000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i22i−2i00000002−22i−2i2−22−20000000000
χ2822-2-2222002-22-22-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-2−i2i2000000000000000000000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2i0000000−22−2i2i−22−220000000000
χ2922-2-2222002-22-22-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-2i2−i2000000000000000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i22i−2i0000000−222i−2i−22−220000000000
χ3022-2-2222002-22-22-2-2-2-20000222222-22-22-222-2-2-2-2-2-2-2i2−i2000000000000000000000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2i00000002−2−2i2i2−22−20000000000
χ3122-2-2-12200-112-22-21-2-23−33−3-1-12-1-1-11-112-2-1-11111-211−i2i2003−33−30033−3−3003−33−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2−i2−i2i2i2i2i2ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ232i−2i00000−i3i32−2−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ3222-2-2-12200-112-22-21-2-23−33−3-1-12-1-1-11-112-2-1-11111-211−i2i2003−33−30033−3−3003−33−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−i2−i2−i2−i2i2i2i2i2ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−2i2i00000i3−i3−22i−i−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ3322-2-2-12200-112-22-21-2-23−33−3-1-12-1-1-11-112-2-1-11111-211i2−i2003−33−30033−3−3003−33−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2i2i2−i2−i2−i2−i2−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ232i−2i00000−i3i3−22−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ3422-2-2-12200-112-22-21-2-23−33−3-1-12-1-1-11-112-2-1-11111-211i2−i2003−33−30033−3−3003−33−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23i2i2i2i2−i2−i2−i2−i2−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−2i2i00000i3−i32−2i−iζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ3522-2-2-12200-112-22-21-2-2−33−33-1-12-1-1-11-112-2-1-11111-211−i2i200−33−3300−3−33300−33−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2−i2−i2i2i2i2i2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ72i−2i00000i3−i32−2−iiζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ3622-2-2-12200-112-22-21-2-2−33−33-1-12-1-1-11-112-2-1-11111-211−i2i200−33−3300−3−33300−33−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−i2−i2−i2−i2i2i2i2i2ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−2i2i00000−i3i3−22i−i−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ3722-2-2-12200-112-22-21-2-2−33−33-1-12-1-1-11-112-2-1-11111-211i2−i200−33−3300−3−33300−33−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2i2i2−i2−i2−i2−i2−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ72i−2i00000i3−i3−22−ii−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ3822-2-2-12200-112-22-21-2-2−33−33-1-12-1-1-11-112-2-1-11111-211i2−i200−33−3300−3−33300−33−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7i2i2i2i2−i2−i2−i2−i2−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−2i2i00000−i3i32−2i−iζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ392-2-222222-2-2-2-2-2-222-2222-2-222222-2-2-2-2-2-2-2-2-2-22222200-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000000000000002-20000000000000000002-2
χ402-2-222222-2-2-2-2-2-222-2222-2-222222-2-2-2-2-2-2-2-2-2-22222200-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000000000000000000000000000000000000-22000000000000000000-22
χ412-2-22222-22-2-2-2-2-222-22-2-22222222-2-2-2-2-2-2-2-2-2-22222200222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000002-2000000000000002-2000000
χ422-2-22222-22-2-2-2-2-222-22-2-22222222-2-2-2-2-2-2-2-2-2-22222200222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000-2200000000000000-22000000
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χ1244-4-4444-24-4-4-4-4-42-242444-4-44-2-2-2-2-4-4222222224-2-2-2-2002-4-4-422222222-2444-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1294-4-444-2-2-44-4-4222-242-2-4-444-2-21112222-1-1-1-1-1-1-2-211100-2-2-2-2-2-2111111222222-1-1-1-1-1-10000000000000000−2323−2323−2323−2323−2323−232333−3−333−3−333−3−333−3−333−3−333−3−3000000000000000000000000000
χ1304-4-44-2444-422-4-4-44-2-44-2-222-2-24-2-22222-4-42222-2-24-2-200-4-42222-4-4222244-2-2-2-244-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44-244-4422-4-4-44-2-4422-2-2-2-24-2-22222-4-42222-2-24-2-20044-2-2-2-244-2-2-2-2-4-42222-4-422220000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-44-24-24-422-4-42-2-224-2-222-21-21122-1-122-1-1-1-1-21-211002-422-1-122-1-1-1-1-24-2-211-2-21111000000000000000000003-33-3-33-330000000033-3-333-3-3-3-333-3-333000000000000000000000000000
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χ1384-4-44-2-24-442222-44-2-4-222-2-21-2-211-1-12222-1-1-1-11-2-211004-211-2-2-2-21111-42-1-12222-1-1-1-1000000003i−3i3i−3i−3i3i−3i3i000000000000000000003i−3i3i−3i3i−3i3i−3i−3i3i−3i3i−3i3i−3i3i000000000000000000000000000
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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+3i320000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i300003-33-3-33-33i3−i3i3−i3i3−i3i3−i3−3−i32−3+i323−i323+i32−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i323−i323+i32−3−i32−3+i32000000000000000000000000000
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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+3i32−1−3i320000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i30000-33-333-33-3i3−i3i3−i3i3−i3i3−i33−i323+i32−3−i32−3+i323−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32−3−i32−3+i323−i323+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+3i32−1−3i3200002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i300003-33-3-33-33−i3i3−i3i3−i3i3−i3i3−3+i32−3−i323+i323−i32−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i323+i323−i32−3+i32−3−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+3i321−3i32000000003i−3i3i−3i−3i3i−3i3i23−2323−23−33−33−33−33−3−333−3−333ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+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+3i321−3i3200000000−3i3i−3i3i3i−3i3i−3i−2323−23233−33−33−33−333−3−333−3−3−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+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+3i32000000003i−3i3i−3i−3i3i−3i3i−2323−23233−33−33−33−333−3−333−3−32ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+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+3i3200000000−3i3i−3i3i3i−3i3i−3i23−2323−23−33−33−33−33−3−333−3−333−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22−2ζ14−ζ22ζ14+2ζ22−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22ζ14+2ζ22−2ζ14−ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000

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