Finite Group Databasebeta

← Group #11777905

Character table — Group #11777905

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order1222444433444466666612121212121212123666121212121212121212121212881212121224242424242424242424242424242424888888882424242424242424242424242424242444881212121224242424888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-11-1i−i11-1-1ii−i−ii−ii−i1-1
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−i-1-111iiii−i−i−i−i-1-1-1-111111-1−ii11-1-1−i−iii−ii−ii-11
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-1-11i−i-1-111ii−i−i−ii−ii-11
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii-1-111−i−i−i−iiiii-1-1-1-11111-11−ii-1-111−i−iiii−ii−i1-1
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1-11−ii-1-111−i−iiii−ii−i-11
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−i-1-111iiii−i−i−i−i-1-1-1-11111-11i−i-1-111ii−i−i−ii−ii1-1
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii11-1-1−i−i−i−iiiii1111-1-1-1-11-1−ii11-1-1−i−iii−ii−ii1-1
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii-1-111−i−i−i−iiiii-1-1-1-111111-1i−i11-1-1ii−i−ii−ii−i-11
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000000022-2-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-20000000000000000000000000000000000000000000000000000-2-22200
χ19222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002200-1-1-1-10000000000
χ20222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-2-20011110000000000
χ21222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-11111-2-2-2-21111111122220000-1-1-1-1-1-1-1-100000000-2-20011110000000000
χ22222222222-12222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-2000011111111000000002200-1-1-1-10000000000
χ2322222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100220000-1-1-1-1000000
χ2422222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100-2-200001111000000
χ2522222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-21111111111110000222200000000-1-1-1-1-1-1-1-100-2-200001111000000
χ2622222222-122222-1-1-1222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-21111111111110000-2-2-2-2000000001111111100220000-1-1-1-1000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22200-2-22200000000000000000000000000000000000000000000000000002i−2i−2i2i00
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22200-2-2220000000000000000000000000000000000000000000000000000−2i2i2i−2i00
χ292222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111122112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i0000−i−i−i−iiiii000000002-200-1-1110000000000
χ302222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-1111122112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii−2i−2i2i2i0000iiii−i−i−i−i00000000-220011-1-10000000000
χ312222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111112211−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i2i2i−2i−2i0000−i−i−i−iiiii00000000-220011-1-10000000000
χ322222-2-2-2-22-122-2-2222-1-1-1-2-21111-2-2-1-1-1-1-2-2-1-111112211−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i0000iiii−i−i−i−i000000002-200-1-1110000000000
χ332222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii000022-2-200000000-1-1-1-11111002i−2i0000−i−iii000000
χ342222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii0000-2-222000000001111-1-1-1-100−2i2i0000ii−i−i000000
χ352222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i000022-2-200000000-1-1-1-1111100−2i2i0000ii−i−i000000
χ362222-2-2-2-2-1222-2-2-1-1-122211-2-2-2-211-1-1-1-111221111-1-1-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i0000-2-222000000001111-1-1-1-1002i−2i0000−i−iii000000
χ3722-2-22i−2i2i−2i222-22i−2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2-22i−2i2i−2i2-22i−2i002-22i−2i000000000000000000002i−2i2-2000000002i2i−2i−2i22-2-2000000000000000000
χ3822-2-22i−2i2i−2i222-22i−2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-22i−2i2-22i−2i2i−2i2-22i−2i002-22i−2i00000000000000000000−2i2i-2200000000−2i−2i2i2i-2-222000000000000000000
χ3922-2-22i−2i2i−2i22-22−2i2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2−2i2i-222i−2i2i−2i-22−2i2i00-22−2i2i0000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000000000000000000000
χ4022-2-22i−2i2i−2i22-22−2i2i2-2-2-22-22i−2i2i−2i2i−2i2i−2i22-2-2−2i2i-222i−2i2i−2i-22−2i2i00-22−2i2i00000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000000000000000000000
χ4122-2-22i−2i2i−2i2-1-22−2i2i2-2-21-112i−2i−ii−ii2i−2i-1-111−2i2i1-1−ii−ii-22i−i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ230000000000003−3−i3i30000000000
χ4222-2-22i−2i2i−2i2-1-22−2i2i2-2-21-112i−2i−ii−ii2i−2i-1-111−2i2i1-1−ii−ii-22i−i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000000000−33i3−i30000000000
χ4322-2-22i−2i2i−2i2-1-22−2i2i2-2-21-112i−2i−ii−ii2i−2i-1-111−2i2i1-1−ii−ii-22i−i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000−33i3−i30000000000
χ4422-2-22i−2i2i−2i2-1-22−2i2i2-2-21-112i−2i−ii−ii2i−2i-1-111−2i2i1-1−ii−ii-22i−i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000000000003−3−i3i30000000000
χ4522-2-22i−2i2i−2i-122-22i−2i-111-22-2−ii2i−2i2i−2i−ii-1-111−ii2-2−ii−ii-112i−2i00-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002i−2i2-200000000−i−iii-1-11100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ4622-2-22i−2i2i−2i-122-22i−2i-111-22-2−ii2i−2i2i−2i−ii-1-111−ii2-2−ii−ii-112i−2i00-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000−2i2i-2200000000ii−i−i11-1-100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ4722-2-22i−2i2i−2i-122-22i−2i-111-22-2−ii2i−2i2i−2i−ii-1-111−ii2-2−ii−ii-112i−2i00-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002i−2i2-200000000−i−iii-1-11100000000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000000
χ4822-2-22i−2i2i−2i-122-22i−2i-111-22-2−ii2i−2i2i−2i−ii-1-111−ii2-2−ii−ii-112i−2i00-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000−2i2i-2200000000ii−i−i11-1-100000000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000000
χ4922-2-2−2i2i−2i2i222-2−2i2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i2-2−2i2i−2i2i2-2−2i2i002-2−2i2i000000000000000000002i−2i-22000000002i2i−2i−2i-2-222000000000000000000
χ5022-2-2−2i2i−2i2i222-2−2i2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i2i2-2−2i2i−2i2i2-2−2i2i002-2−2i2i00000000000000000000−2i2i2-200000000−2i−2i2i2i22-2-2000000000000000000
χ5122-2-2−2i2i−2i2i22-222i−2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-22i−2i-22−2i2i−2i2i-222i−2i00-222i−2i00000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000000000000000000000
χ5222-2-2−2i2i−2i2i22-222i−2i2-2-2-22-2−2i2i−2i2i−2i2i−2i2i22-2-22i−2i-22−2i2i−2i2i-222i−2i00-222i−2i0000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000000000000000000000
χ5322-2-2−2i2i−2i2i2-1-222i−2i2-2-21-11−2i2ii−ii−i−2i2i-1-1112i−2i1-1i−ii−i-22−ii001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ130000000000003−3i3−i30000000000
χ5422-2-2−2i2i−2i2i2-1-222i−2i2-2-21-11−2i2ii−ii−i−2i2i-1-1112i−2i1-1i−ii−i-22−ii001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000−33−i3i30000000000
χ5522-2-2−2i2i−2i2i2-1-222i−2i2-2-21-11−2i2ii−ii−i−2i2i-1-1112i−2i1-1i−ii−i-22−ii001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000−33−i3i30000000000
χ5622-2-2−2i2i−2i2i2-1-222i−2i2-2-21-11−2i2ii−ii−i−2i2i-1-1112i−2i1-1i−ii−i-22−ii001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ130000000000003−3i3−i30000000000
χ5722-2-2−2i2i−2i2i-122-2−2i2i-111-22-2i−i−2i2i−2i2ii−i-1-111i−i2-2i−ii−i-11−2i2i00-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002i−2i-2200000000−i−iii11-1-100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ5822-2-2−2i2i−2i2i-122-2−2i2i-111-22-2i−i−2i2i−2i2ii−i-1-111i−i2-2i−ii−i-11−2i2i00-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−2i2i2-200000000ii−i−i-1-11100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ5922-2-2−2i2i−2i2i-122-2−2i2i-111-22-2i−i−2i2i−2i2ii−i-1-111i−i2-2i−ii−i-11−2i2i00-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002i−2i-2200000000−i−iii11-1-100000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000000
χ6022-2-2−2i2i−2i2i-122-2−2i2i-111-22-2i−i−2i2i−2i2ii−i-1-111i−i2-2i−ii−i-11−2i2i00-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−2i2i2-200000000ii−i−i-1-11100000000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000000
χ61444444444-2-4-4-4-4444-2-2-244-2-2-2-244-2-2-2-2-4-422-2-2-2-2-4-4220022220000000000000000000000000000000000000000000000000000000000
χ6244444444-24-4-4-4-4-2-2-2444-2-24444-2-2-2-2-2-222-4-4-2-2-2-222-4-40022220000000000000000000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ6444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122221111222200-1-1-1-1000000003-3-333-3-33000000000000000000000000000000000000000000
χ6644444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122221111222200-1-1-1-100000000-333-3-333-3000000000000000000000000000000000000000000
χ674444-4-4-4-44-2-4-444444-2-2-2-4-42222-4-4-2-2-2-244222222-4-4-2-20022-2-20000000000000000000000000000000000000000000000000000000000
χ684444-4-4-4-4-24-4-444-2-2-244422-4-4-4-422-2-2-2-2-2-2-4-4222222440022-2-20000000000000000000000000000000000000000000000000000000000
χ694444-4-4-4-4-2-244-4-4-2-2-2-2-2-222222222111122-2-2-1-1-1-1-2-2224i−4i11-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ704444-4-4-4-4-2-244-4-4-2-2-2-2-2-222222222111122-2-2-1-1-1-1-2-222−4i4i11-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
χ714444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-222-1-1-1-122-2-200-1-111000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-222-1-1-1-122-2-200-1-11100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000
χ7344-4-44i−4i4i−4i4-24-44i−4i4-4-42-224i−4i−2i2i−2i2i4i−4i-2-2224i−4i-22−2i2i−2i2i4-4−2i2i00-22−2i2i0000000000000000000000000000000000000000000000000000000000
χ7444-4-44i−4i4i−4i-24-44−4i4i-222-44-4−2i2i4i−4i4i−4i−2i2i-2-2222i−2i-44−2i2i−2i2i2-2−4i4i002-22i−2i0000000000000000000000000000000000000000000000000000000000
χ7544-4-44i−4i4i−4i-2-24-44i−4i-2222-22−2i2i−2i2i−2i2i−2i2i11-1-1−2i2i-22i−ii−i-22−2i2i001-1i−i0000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ7644-4-44i−4i4i−4i-2-24-44i−4i-2222-22−2i2i−2i2i−2i2i−2i2i11-1-1−2i2i-22i−ii−i-22−2i2i001-1i−i00002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ7744-4-44i−4i4i−4i-2-2-44−4i4i-2222-22−2i2i−2i2i−2i2i−2i2i11-1-12i−2i2-2i−ii−i2-22i−2i00-11−ii−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ7844-4-44i−4i4i−4i-2-2-44−4i4i-2222-22−2i2i−2i2i−2i2i−2i2i11-1-12i−2i2-2i−ii−i2-22i−2i00-11−ii2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ7944-4-4−4i4i−4i4i4-24-4−4i4i4-4-42-22−4i4i2i−2i2i−2i−4i4i-2-222−4i4i-222i−2i2i−2i4-42i−2i00-222i−2i0000000000000000000000000000000000000000000000000000000000
χ8044-4-4−4i4i−4i4i-24-444i−4i-222-44-42i−2i−4i4i−4i4i2i−2i-2-222−2i2i-442i−2i2i−2i2-24i−4i002-2−2i2i0000000000000000000000000000000000000000000000000000000000
χ8144-4-4−4i4i−4i4i-2-24-4−4i4i-2222-222i−2i2i−2i2i−2i2i−2i11-1-12i−2i-22−ii−ii-222i−2i001-1−ii00002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000000000
χ8244-4-4−4i4i−4i4i-2-24-4−4i4i-2222-222i−2i2i−2i2i−2i2i−2i11-1-12i−2i-22−ii−ii-222i−2i001-1−ii0000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000000000
χ8344-4-4−4i4i−4i4i-2-2-444i−4i-2222-222i−2i2i−2i2i−2i2i−2i11-1-1−2i2i2-2−ii−ii2-2−2i2i00-11i−i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000000000000000000000
χ8444-4-4−4i4i−4i4i-2-2-444i−4i-2222-222i−2i2i−2i2i−2i2i−2i11-1-1−2i2i2-2−ii−ii2-2−2i2i00-11i−i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000000000000000000000
χ854-44-44i−4i−4i4i440000-44-4-4-444i−4i4i−4i−4i4i−4i4i4-44-400004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ864-44-44i−4i−4i4i4-20000-44-422-24i−4i−2i2i2i−2i−4i4i-22-220000−2i2i2i−2i0000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000000000000000000000
χ874-44-44i−4i−4i4i4-20000-44-422-24i−4i−2i2i2i−2i−4i4i-22-220000−2i2i2i−2i0000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000000000000000000000
χ884-44-44i−4i−4i4i-2400002-22-4-44−2i2i4i−4i−4i4i2i−2i-22-220000−2i2i2i−2i0000000000000000000000000000000000000000006−66−6i6−i6i6−i6000000000000000000
χ894-44-44i−4i−4i4i-2400002-22-4-44−2i2i4i−4i−4i4i2i−2i-22-220000−2i2i2i−2i000000000000000000000000000000000000000000−66−66−i6i6−i6i6000000000000000000
χ904-44-4−4i4i4i−4i440000-44-4-4-44−4i4i−4i4i4i−4i4i−4i4-44-40000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4−4i4i4i−4i4-20000-44-422-2−4i4i2i−2i−2i2i4i−4i-22-2200002i−2i−2i2i0000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000000000000000000000
χ924-44-4−4i4i4i−4i4-20000-44-422-2−4i4i2i−2i−2i2i4i−4i-22-2200002i−2i−2i2i0000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000000000000000000000
χ934-44-4−4i4i4i−4i-2400002-22-4-442i−2i−4i4i4i−4i−2i2i-22-2200002i−2i−2i2i0000000000000000000000000000000000000000006−66−6−i6i6−i6i6000000000000000000
χ944-44-4−4i4i4i−4i-2400002-22-4-442i−2i−4i4i4i−4i−2i2i-22-2200002i−2i−2i2i000000000000000000000000000000000000000000−66−66i6−i6i6−i6000000000000000000
χ954-4-4444-4-4440000-4-444-4-44444-4-4-4-44-4-44000044-4-400000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-44-20000-4-44-22244-2-222-4-4-222-20000-2-2220000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i600000000000000000000000000
χ974-4-4444-4-44-20000-4-44-22244-2-222-4-4-222-20000-2-2220000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i600000000000000000000000000
χ984-4-4444-4-4-24000022-24-4-4-2-244-4-422-222-20000-2-222000000000000000000000000000000000000000000i6−i6−i6i6−i6i6i6−i6000000000000000000
χ994-4-4444-4-4-24000022-24-4-4-2-244-4-422-222-20000-2-222000000000000000000000000000000000000000000−i6i6i6−i6i6−i6−i6i6000000000000000000
χ1004-4-44-4-444440000-4-444-4-4-4-4-4-444444-4-440000-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-20000-4-44-222-4-422-2-244-222-2000022-2-200000000000000000000000000000000006−6−66−666−600000000000000000000000000
χ1024-4-44-4-4444-20000-4-44-222-4-422-2-244-222-2000022-2-20000000000000000000000000000000000−666−66−6−6600000000000000000000000000
χ1034-4-44-4-444-24000022-24-4-422-4-444-2-2-222-2000022-2-2000000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ1044-4-44-4-444-24000022-24-4-422-4-444-2-2-222-2000022-2-2000000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ1058-88-88i−8i−8i8i-4-400004-4444-4−4i4i−4i4i4i−4i4i−4i2-22-200002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8−8i8i8i−8i-4-400004-4444-44i−4i4i−4i−4i4i−4i4i2-22-20000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8888-8-8-4-4000044-4-444-4-4-4-444442-2-22000022-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-4000044-4-4444444-4-4-4-42-2-220000-2-22200000000000000000000000000000000000000000000000000000000000000000000

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