Finite Group Databasebeta

← Group #11721786

Character table — Group #11721786

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size1111111111112222222222222222226666666666666666999999999999121212121212121212121212121212121212121212121212181818181818181818181818181818181818
order12334466121212122466888812122424242424242424333366661212121212121212888824242424242424246666121212122424242424242424242424242424242422446666881212121224242424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ41111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1
χ5111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1-1-111-1-1-1-1-1-1
χ6111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1111111
χ7111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1-111-1-1-1-111-1-1-1-1
χ8111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-111-1-11111-1-11111
χ91111-1-111-1-1-1-11-111i−ii−i-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-1-1111-1-1i−i-1-111ii−i−i
χ101111-1-111-1-1-1-11-111i−ii−i-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-111-1-1-111−ii11-1-1−i−iii
χ111111-1-111-1-1-1-11-111−ii−ii-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-111-1-1-111i−i11-1-1ii−i−i
χ121111-1-111-1-1-1-11-111−ii−ii-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-1-1111-1-1−ii-1-111−i−iii
χ131111-1-111-1-1-1-1-11-1-1i−i−ii11ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii11-1-11111−ii-1-1-1-1−i−iii
χ141111-1-111-1-1-1-1-11-1-1i−i−ii11ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1i−i1111ii−i−i
χ151111-1-111-1-1-1-1-11-1-1−iii−i11−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1−ii1111−i−iii
χ161111-1-111-1-1-1-1-11-1-1−iii−i11−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i11-1-11111i−i-1-1-1-1ii−i−i
χ172222222222222222222222222222222-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000000000000
χ18222222222222222222222222222222-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1000000000000000000
χ19222222222222222222222222222222-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1000000000000000000
χ20222222222222222222222222222222-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12000000000000000000
χ212222222222222222-2-2-2-222-2-2-2-2-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-10000000000002-1-1-12-1-1-1-2111-2111-2111-2111000000000000000000
χ222222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-1000000000000-12-1-1-12-1-11-2111-2111-2111-211000000000000000000
χ232222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-1000000000000-1-12-1-1-12-111-2111-2111-2111-21000000000000000000
χ242222222222222222-2-2-2-222-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000000000-1-1-12-1-1-12111-2111-2111-2111-2000000000000000000
χ25222222222222-2-2-2-222-2-2-2-22222-2-2-2-22-1-1-12-1-1-122-1-1-1-1-1-1000000000000-2111-21112-1-1-12-1-1-1-2111-2111000000000000000000
χ26222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-12-1-1-12-1-1-1-122-1-1-1-10000000000001-2111-211-12-1-1-12-1-11-2111-211000000000000000000
χ27222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-1-12-1-1-12-1-1-1-1-122-1-100000000000011-2111-21-1-12-1-1-12-111-2111-21000000000000000000
χ28222222222222-2-2-2-222-2-2-2-22222-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-122000000000000111-2111-2-1-1-12-1-1-12111-2111-2000000000000000000
χ29222222222222-2-2-2-2-2-222-2-2-2-2-2-222222-1-1-12-1-1-122-1-1-1-1-1-1000000000000-2111-2111-2111-21112-1-1-12-1-1-1000000000000000000
χ30222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-12-1-1-12-1-1-1-122-1-1-1-10000000000001-2111-2111-2111-211-12-1-1-12-1-1000000000000000000
χ31222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-1-12-1-1-12-1-1-1-1-122-1-100000000000011-2111-2111-2111-21-1-12-1-1-12-1000000000000000000
χ32222222222222-2-2-2-2-2-222-2-2-2-2-2-22222-1-1-12-1-1-12-1-1-1-1-1-122000000000000111-2111-2111-2111-2-1-1-12-1-1-12000000000000000000
χ332222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i2-1-1-12-1-1-1-2-21111110000000000002-1-1-1-21112i−i−i−i−2iiii2i−i−i−i−2iiii000000000000000000
χ342222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i-12-1-1-12-1-111-2-21111000000000000-12-1-11-211−i2i−i−ii−2iii−i2i−i−ii−2iii000000000000000000
χ352222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i-1-12-1-1-12-11111-2-211000000000000-1-12-111-21−i−i2i−iii−2ii−i−i2i−iii−2ii000000000000000000
χ362222-2-222-2-2-2-22-2222i−2i2i−2i-2-22i2i−2i−2i2i2i−2i−2i-1-1-12-1-1-12111111-2-2000000000000-1-1-12111-2−i−i−i2iiii−2i−i−i−i2iiii−2i000000000000000000
χ372222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i2-1-1-12-1-1-1-2-21111110000000000002-1-1-1-2111−2iiii2i−i−i−i−2iiii2i−i−i−i000000000000000000
χ382222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i-12-1-1-12-1-111-2-21111000000000000-12-1-11-211i−2iii−i2i−i−ii−2iii−i2i−i−i000000000000000000
χ392222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i-1-12-1-1-12-11111-2-211000000000000-1-12-111-21ii−2ii−i−i2i−iii−2ii−i−i2i−i000000000000000000
χ402222-2-222-2-2-2-22-222−2i2i−2i2i-2-2−2i−2i2i2i−2i−2i2i2i-1-1-12-1-1-12111111-2-2000000000000-1-1-12111-2iii−2i−i−i−i2iiii−2i−i−i−i2i000000000000000000
χ412222-2-222-2-2-2-2-22-2-22i−2i−2i2i222i2i−2i−2i−2i−2i2i2i2-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-12i−i−i−i−2iiii−2iiii2i−i−i−i000000000000000000
χ422222-2-222-2-2-2-2-22-2-22i−2i−2i2i222i2i−2i−2i−2i−2i2i2i-12-1-1-12-1-111-2-211110000000000001-211-12-1-1−i2i−i−ii−2iiii−2iii−i2i−i−i000000000000000000
χ432222-2-222-2-2-2-2-22-2-22i−2i−2i2i222i2i−2i−2i−2i−2i2i2i-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1−i−i2i−iii−2iiii−2ii−i−i2i−i000000000000000000
χ442222-2-222-2-2-2-2-22-2-22i−2i−2i2i222i2i−2i−2i−2i−2i2i2i-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12−i−i−i2iiii−2iiii−2i−i−i−i2i000000000000000000
χ452222-2-222-2-2-2-2-22-2-2−2i2i2i−2i22−2i−2i2i2i2i2i−2i−2i2-1-1-12-1-1-1-2-2111111000000000000-21112-1-1-1−2iiii2i−i−i−i2i−i−i−i−2iiii000000000000000000
χ462222-2-222-2-2-2-2-22-2-2−2i2i2i−2i22−2i−2i2i2i2i2i−2i−2i-12-1-1-12-1-111-2-211110000000000001-211-12-1-1i−2iii−i2i−i−i−i2i−i−ii−2iii000000000000000000
χ472222-2-222-2-2-2-2-22-2-2−2i2i2i−2i22−2i−2i2i2i2i2i−2i−2i-1-12-1-1-12-11111-2-21100000000000011-21-1-12-1ii−2ii−i−i2i−i−i−i2i−iii−2ii000000000000000000
χ482222-2-222-2-2-2-2-22-2-2−2i2i2i−2i22−2i−2i2i2i2i2i−2i−2i-1-1-12-1-1-12111111-2-2000000000000111-2-1-1-12iii−2i−i−i−i2i−i−i−i2iiii−2i000000000000000000
χ492-2222i−2i-2-22i2i−2i−2i0000000000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000000000000000000000000000
χ502-2222i−2i-2-22i2i−2i−2i0000000000000000002222-2-2-2-22i−2i2i−2i2i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000000000000000000000000000
χ512-222−2i2i-2-2−2i−2i2i2i0000000000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000000000000000000000000000
χ522-222−2i2i-2-2−2i−2i2i2i0000000000000000002222-2-2-2-2−2i2i−2i2i−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000000000000000000000000000
χ5333−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000000000001111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ5433−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i323333−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000000000000000000000-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ5533−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i3200000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000-1-1-1-11+i321−i321+i321−i32111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ5633−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i3233−3−3i32−3+3i32-3-3-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i320000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000001111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ5733−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i3233-3-33+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i3200000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i320000000000000000000000001-11-1−1−i32−1+i321+i321−i32-1-1−1−i32−1+i321+i321−i321+i321−i321+i321−i32
χ5833−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i3233-3-33+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i323+3i323−3i323+3i323−3i320000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32000000000000000000000000-11-111+i321−i32−1−i32−1+i32111+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ5933−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i32-3-3333+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i3200000000000000001111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32000000000000000000000000-11-111+i321−i32−1−i32−1+i32-1-11+i321−i32−1−i32−1+i321+i321−i321+i321−i32
χ6033−3−3i32−3+3i3233−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32-3-33+3i323−3i32-3-3333+3i323−3i323+3i323−3i323+3i323−3i32−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i320000000000000000000000001-11-1−1−i32−1+i321+i321−i3211−1−i32−1+i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ6133−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323i−3i3i−3i3+3i323−3i323ζ223ζ14−3ζ22−3ζ143ζ223ζ14−3ζ22−3ζ140000000000000000ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ140000000000000000000000001-1-11−1−i32−1+i321+i321−i32i−i1+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14
χ6233−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i323i−3i3i−3i3+3i323−3i323ζ223ζ14−3ζ22−3ζ143ζ223ζ14−3ζ22−3ζ140000000000000000−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000000000000000000000-111-11+i321−i32−1−i32−1+i32−ii−1−i32−1+i321+i321−i32−ζ22−ζ14ζ22ζ14
χ6333−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i32−3i3i−3i3i3+3i323−3i32−3ζ22−3ζ143ζ223ζ14−3ζ22−3ζ143ζ223ζ140000000000000000ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000000000000000000000-111-11+i321−i32−1−i32−1+i32i−i−1−i32−1+i321+i321−i32ζ22ζ14−ζ22−ζ14
χ6433−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i323-3−3−3i32−3+3i32−3i3i−3i3i3+3i323−3i32−3ζ22−3ζ143ζ223ζ14−3ζ22−3ζ143ζ223ζ140000000000000000−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ140000000000000000000000001-1-11−1−i32−1+i321+i321−i32−ii1+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14
χ6533−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i323i−3i−3i3i−3−3i32−3+3i323ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ140000000000000000ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ1400000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i32−ii1+i321−i321+i321−i32−ζ22−ζ14ζ22ζ14
χ6633−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i323i−3i−3i3i−3−3i32−3+3i323ζ223ζ14−3ζ22−3ζ14−3ζ22−3ζ143ζ223ζ140000000000000000−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ14000000000000000000000000-1-1111+i321−i321+i321−i32i−i−1−i32−1+i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14
χ6733−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3i3i3i−3i−3−3i32−3+3i32−3ζ22−3ζ143ζ223ζ143ζ223ζ14−3ζ22−3ζ140000000000000000ii−i−iζ22ζ14ζ22ζ14−ζ22−ζ14−ζ22−ζ14000000000000000000000000-1-1111+i321−i321+i321−i32−ii−1−i32−1+i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14
χ6833−3−3i32−3+3i32-3-3−3−3i32−3+3i323+3i323−3i323+3i323−3i32-333+3i323−3i32−3i3i3i−3i−3−3i32−3+3i32−3ζ22−3ζ143ζ223ζ143ζ223ζ14−3ζ22−3ζ140000000000000000−i−iii−ζ22−ζ14−ζ22−ζ14ζ22ζ14ζ22ζ1400000000000000000000000011-1-1−1−i32−1+i32−1−i32−1+i32i−i1+i321−i321+i321−i32ζ22ζ14−ζ22−ζ14
χ6933−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000000000001111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ7033−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i323333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000000000000000000000-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ7133−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i3200000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000-1-1-1-11−i321+i321−i321+i32111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ7233−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3233−3+3i32−3−3i32-3-3-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323−3i323+3i323−3i323+3i320000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000000000000000000001111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ7333−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i3233-3-33−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i3200000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i320000000000000000000000001-11-1−1+i32−1−i321−i321+i32-1-1−1+i32−1−i321−i321+i321−i321+i321−i321+i32
χ7433−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i3233-3-33−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i323−3i323+3i323−3i323+3i320000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32000000000000000000000000-11-111−i321+i32−1+i32−1−i32111−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ7533−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i32-3-3333−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000000000001111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32000000000000000000000000-11-111−i321+i32−1+i32−1−i32-1-11−i321+i32−1+i32−1−i321−i321+i321−i321+i32
χ7633−3+3i32−3−3i3233−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-3-33−3i323+3i32-3-3333−3i323+3i323−3i323+3i323−3i323+3i32−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i320000000000000000000000001-11-1−1+i32−1−i321−i321+i3211−1+i32−1−i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ7733−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323i−3i3i−3i3−3i323+3i323ζ143ζ22−3ζ14−3ζ223ζ143ζ22−3ζ14−3ζ220000000000000000ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ220000000000000000000000001-1-11−1+i32−1−i321−i321+i32i−i1−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22
χ7833−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i323i−3i3i−3i3−3i323+3i323ζ143ζ22−3ζ14−3ζ223ζ143ζ22−3ζ14−3ζ220000000000000000−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000000000000000000000-111-11−i321+i32−1+i32−1−i32−ii−1+i32−1−i321−i321+i32−ζ14−ζ22ζ14ζ22
χ7933−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i32−3i3i−3i3i3−3i323+3i32−3ζ14−3ζ223ζ143ζ22−3ζ14−3ζ223ζ143ζ220000000000000000ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000000000000000000000-111-11−i321+i32−1+i32−1−i32i−i−1+i32−1−i321−i321+i32ζ14ζ22−ζ14−ζ22
χ8033−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i323-3−3+3i32−3−3i32−3i3i−3i3i3−3i323+3i32−3ζ14−3ζ223ζ143ζ22−3ζ14−3ζ223ζ143ζ220000000000000000−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ220000000000000000000000001-1-11−1+i32−1−i321−i321+i32−ii1−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22
χ8133−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i323i−3i−3i3i−3+3i32−3−3i323ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ220000000000000000ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ2200000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i32−ii1−i321+i321−i321+i32−ζ14−ζ22ζ14ζ22
χ8233−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i323i−3i−3i3i−3+3i32−3−3i323ζ143ζ22−3ζ14−3ζ22−3ζ14−3ζ223ζ143ζ220000000000000000−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ22000000000000000000000000-1-1111−i321+i321−i321+i32i−i−1+i32−1−i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22
χ8333−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3i3i3i−3i−3+3i32−3−3i32−3ζ14−3ζ223ζ143ζ223ζ143ζ22−3ζ14−3ζ220000000000000000ii−i−iζ14ζ22ζ14ζ22−ζ14−ζ22−ζ14−ζ22000000000000000000000000-1-1111−i321+i321−i321+i32−ii−1+i32−1−i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22
χ8433−3+3i32−3−3i32-3-3−3+3i32−3−3i323−3i323+3i323−3i323+3i32-333−3i323+3i32−3i3i3i−3i−3+3i32−3−3i32−3ζ14−3ζ223ζ143ζ223ζ143ζ22−3ζ14−3ζ220000000000000000−i−iii−ζ14−ζ22−ζ14−ζ22ζ14ζ22ζ14ζ2200000000000000000000000011-1-1−1+i32−1−i32−1+i32−1−i32i−i1−i321+i321−i321+i32ζ14ζ22−ζ14−ζ22
χ854-4444i−4i-4-44i4i−4i−4i0000000000000000004-2-2-2-42224i−4i−2i2i−2i2i−2i2i000000000000000000000000000000000000000000000000000000
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χ936-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ226ζ14−6ζ22−6ζ1400000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ72ζ232ζ132ζ5−2ζ13−2ζ5000000000000000000000000000000000000000000
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χ976-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ2200000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ23−2ζ72ζ232ζ72ζ52ζ13−2ζ5−2ζ13000000000000000000000000000000000000000000
χ986-6−3+3i3−3−3i36i−6i3−3i33+3i36ζ146ζ22−6ζ14−6ζ220000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ232ζ7−2ζ23−2ζ7−2ζ5−2ζ132ζ52ζ13000000000000000000000000000000000000000000
χ996-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ220000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ52ζ13−2ζ5−2ζ13−2ζ23−2ζ72ζ232ζ7000000000000000000000000000000000000000000
χ1006-6−3+3i3−3−3i3−6i6i3−3i33+3i3−6ζ14−6ζ226ζ146ζ2200000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ52ζ132ζ232ζ7−2ζ23−2ζ7000000000000000000000000000000000000000000

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