Finite Group Databasebeta

← Group #11777964

Character table — Group #11777964

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212242424242424242424242424363636367272
order122244443344446666661212121212121212366612121212121212121212121288121212122424242424242424242424242424242488888888242424242424242424242424242424242244666612121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-1-111-1-111-1-1-1-1-1-1
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
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-111-1-111-1-1-1-1-1-111
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
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-11111-1-1-1-111-1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−ii−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii1-1-1111-1-1-1-111-1-111−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i-111-1-1-11111-1-1-1-111−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii-1-111-1-1-1-1111111-1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−iii−i−iii−i−iii−i−iiiii−i−i−i−i-1-111-1-1-1-1111111-1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiiii−ii−i−i−iiiii−i−iii−i−i−i−i−i−iiiii-111-1-1-11111-1-1-1-111i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−iiii−i−i−i−iii−i−iiiiiii−i−i−i−i1-1-1111-1-1-1-111-1-111i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−ii−ii−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-11111-1-1-1-111-1-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-200-2-2-2-2000000000000000022-2-20000-2-2-2-2222200000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-200-2-2-2-20000000000000000-2-22200002222-2-2-2-200000000000000000000000000
χ19222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-1000000002020-1-100-1-100000000
χ20222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000-20-2011001100000000
χ21222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-211111111111122220000-1-1-1-1-1-1-1-100000000-20-2011001100000000
χ22222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-2111111111111-2-2-2-2000011111111000000002020-1-100-1-100000000
χ23222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-20011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i322-2-200001111-1-1-1-1000000000000−i3i300−i3i300000000
χ24222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-20011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-2-2220000-1-1-1-11111000000000000i3−i300i3−i300000000
χ25222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-20011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i322-2-200001111-1-1-1-1000000000000i3−i300i3−i300000000
χ26222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-20011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-2-2220000-1-1-1-11111000000000000−i3i300−i3i300000000
χ2722222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1020200-1-100-1-1000000
χ2822222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110-20-200110011000000
χ2922222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000222200000000-1-1-1-1-1-1-1-10-20-200110011000000
χ3022222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000-2-2-2-20000000011111111020200-1-100-1-1000000
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22200-2-22200000000000000002i−2i−2i2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-22200-2-2220000000000000000−2i2i2i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ332222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-11111220011-1-100003−3−3333−3−3−3−3332i−2i−2i2i0000ii−i−i−i−iii000000000000−i3i300i3−i300000000
χ342222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-11111220011-1-100003−3−3333−3−3−3−333−2i2i2i−2i0000−i−iiiii−i−i000000000000i3−i300−i3i300000000
χ352222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-11111220011-1-10000−333−3−3−33333−3−32i−2i−2i2i0000ii−i−i−i−iii000000000000i3−i300−i3i300000000
χ362222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-11111220011-1-10000−333−3−3−33333−3−3−2i2i2i−2i0000−i−iiiii−i−i000000000000−i3i300i3−i300000000
χ372222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii2i−2i2i−2i0000−i−iii−i−iii0000000020-20-1-1001100000000
χ382222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii−2i2i−2i2i0000ii−i−iii−i−i00000000-20201100-1-100000000
χ392222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i2i−2i2i−2i0000−i−iii−i−iii00000000-20201100-1-100000000
χ402222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−2i2i−2i2i0000ii−i−iii−i−i0000000020-20-1-1001100000000
χ412222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-21111112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00002i2i−2i−2i00000000−i−i−i−iiiii020-200-1-10011000000
χ422222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-21111112i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii0000−2i−2i2i2i00000000iiii−i−i−i−i0-202001100-1-1000000
χ432222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-2111111−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00002i2i−2i−2i00000000−i−i−i−iiiii0-202001100-1-1000000
χ442222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-2111111−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i0000−2i−2i2i2i00000000iiii−i−i−i−i020-200-1-10011000000
χ4522-2-22i−2i2i−2i222i−2i2-22-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i002-22i−2i00000000000000000000000000000000000000000000000000002-22i−2i00
χ4622-2-22i−2i2i−2i222i−2i2-22-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i002-22i−2i0000000000000000000000000000000000000000000000000000-22−2i2i00
χ4722-2-22i−2i2i−2i22−2i2i-222-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22-22−2i2i2i−2i2i−2i−2i2i00-22−2i2i000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000000000
χ4822-2-22i−2i2i−2i22−2i2i-222-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22-22−2i2i2i−2i2i−2i−2i2i00-22−2i2i00000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000000000
χ4922-2-22i−2i2i−2i-12−2i2i-22-112-21-2−ii−ii2i−2i2i−2i-1-1111-1-22−2i2i−ii−iii−i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000−i3i3003−3000000
χ5022-2-22i−2i2i−2i-12−2i2i-22-112-21-2−ii−ii2i−2i2i−2i-1-1111-1-22−2i2i−ii−iii−i001-1i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000i3−i300−33000000
χ5122-2-22i−2i2i−2i-12−2i2i-22-112-21-2−ii−ii2i−2i2i−2i-1-1111-1-22−2i2i−ii−iii−i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000i3−i300−33000000
χ5222-2-22i−2i2i−2i-12−2i2i-22-112-21-2−ii−ii2i−2i2i−2i-1-1111-1-22−2i2i−ii−iii−i001-1i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ130000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000−i3i3003−3000000
χ5322-2-2−2i2i−2i2i222i−2i-222-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-222i−2i−2i2i−2i2i2i−2i00-222i−2i00000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000000000
χ5422-2-2−2i2i−2i2i222i−2i-222-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-222i−2i−2i2i−2i2i2i−2i00-222i−2i000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23000000000000000000
χ5522-2-2−2i2i−2i2i22−2i2i2-22-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i002-2−2i2i00000000000000000000000000000000000000000000000000002-2−2i2i00
χ5622-2-2−2i2i−2i2i22−2i2i2-22-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i002-2−2i2i0000000000000000000000000000000000000000000000000000-222i−2i00
χ5722-2-2−2i2i−2i2i-122i−2i-22-112-21-2i−ii−i−2i2i−2i2i-1-1111-1-222i−2ii−ii−i−ii001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000i3−i3003−3000000
χ5822-2-2−2i2i−2i2i-122i−2i-22-112-21-2i−ii−i−2i2i−2i2i-1-1111-1-222i−2ii−ii−i−ii001-1−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000−i3i300−33000000
χ5922-2-2−2i2i−2i2i-122i−2i-22-112-21-2i−ii−i−2i2i−2i2i-1-1111-1-222i−2ii−ii−i−ii001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ230000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000−i3i300−33000000
χ6022-2-2−2i2i−2i2i-122i−2i-22-112-21-2i−ii−i−2i2i−2i2i-1-1111-1-222i−2ii−ii−i−ii001-1−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23000000i3−i3003−3000000
χ6144444444-24-4-4-4-4-2-244-24-2-2-2-24444-2-2-2-222-4-4-4-4-2-2-2-2220022220000000000000000000000000000000000000000000000000000000000
χ6244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ6344444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122222211112200-1-1-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ6544444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122222211112200-1-1-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ664444-4-4-4-4-2444-4-4-2-244-242222-4-4-4-4-2-2-2-222-4-4442222-2-20022-2-20000000000000000000000000000000000000000000000000000000000
χ674444-4-4-4-4-2-244-4-4-2-2-2-2-2-22222222211112222-2-2-1-1-1-1-2-200-1-111000023−23−2323−3−33333−3−3000000000000000000000000000000000000000000
χ684444-4-4-4-4-2-244-4-4-2-2-2-2-2-22222222211112222-2-2-1-1-1-1-2-200-1-1110000−232323−2333−3−3−3−333000000000000000000000000000000000000000000
χ694444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-2-2-222-1-1-1-1224i−4i11-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000
χ704444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-2-2-222-1-1-1-122−4i4i11-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000
χ7144-4-44i−4i4i−4i4-24i−4i4-44-4-22-424i−4i4i−4i−2i2i−2i2i-2-2224-4-22−2i2i−2i2i−2i2i4i−4i00-22−2i2i0000000000000000000000000000000000000000000000000000000000
χ7244-4-44i−4i4i−4i4-2−4i4i-444-4-22-424i−4i4i−4i−2i2i−2i2i-2-222-442-22i−2i−2i2i−2i2i−4i4i002-22i−2i0000000000000000000000000000000000000000000000000000000000
χ7344-4-44i−4i4i−4i-244i−4i4-4-224-42-4−2i2i−2i2i4i−4i4i−4i-2-222-224-44i−4i−2i2i−2i2i−2i2i00-22−2i2i0000000000000000000000000000000000000000000000000000000000
χ7444-4-44i−4i4i−4i-2-24i−4i4-4-22-2222−2i2i−2i2i−2i2i−2i2i11-1-1-22-22−2i2ii−ii−i−2i2i001-1i−i000000003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ13000000000000000000000000000000000000000000
χ7544-4-44i−4i4i−4i-2-24i−4i4-4-22-2222−2i2i−2i2i−2i2i−2i2i11-1-1-22-22−2i2ii−ii−i−2i2i001-1i−i00000000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13000000000000000000000000000000000000000000
χ7644-4-44i−4i4i−4i-2-2−4i4i-44-22-2222−2i2i−2i2i−2i2i−2i2i11-1-12-22-22i−2ii−ii−i2i−2i00-11−ii−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000
χ7744-4-44i−4i4i−4i-2-2−4i4i-44-22-2222−2i2i−2i2i−2i2i−2i2i11-1-12-22-22i−2ii−ii−i2i−2i00-11−ii2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000
χ7844-4-4−4i4i−4i4i4-24i−4i-444-4-22-42−4i4i−4i4i2i−2i2i−2i-2-222-442-2−2i2i2i−2i2i−2i4i−4i002-2−2i2i0000000000000000000000000000000000000000000000000000000000
χ7944-4-4−4i4i−4i4i4-2−4i4i4-44-4-22-42−4i4i−4i4i2i−2i2i−2i-2-2224-4-222i−2i2i−2i2i−2i−4i4i00-222i−2i0000000000000000000000000000000000000000000000000000000000
χ8044-4-4−4i4i−4i4i-24−4i4i4-4-224-42-42i−2i2i−2i−4i4i−4i4i-2-222-224-4−4i4i2i−2i2i−2i2i−2i00-222i−2i0000000000000000000000000000000000000000000000000000000000
χ8144-4-4−4i4i−4i4i-2-24i−4i-44-22-22222i−2i2i−2i2i−2i2i−2i11-1-12-22-2−2i2i−ii−ii−2i2i00-11i−i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000000000
χ8244-4-4−4i4i−4i4i-2-24i−4i-44-22-22222i−2i2i−2i2i−2i2i−2i11-1-12-22-2−2i2i−ii−ii−2i2i00-11i−i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000000000
χ8344-4-4−4i4i−4i4i-2-2−4i4i4-4-22-22222i−2i2i−2i2i−2i2i−2i11-1-1-22-222i−2i−ii−ii2i−2i001-1−ii00000000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23000000000000000000000000000000000000000000
χ8444-4-4−4i4i−4i4i-2-2−4i4i4-4-22-22222i−2i2i−2i2i−2i2i−2i11-1-1-22-222i−2i−ii−ii2i−2i001-1−ii000000003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ23000000000000000000000000000000000000000000
χ854-44-44i−4i−4i4i440000-44-44-4-4−4i4i4i−4i−4i4i4i−4i4-44-4000000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000
χ864-44-44i−4i−4i4i4-20000-442-2-42−4i4i4i−4i2i−2i−2i2i-22-220000002i−2i−2i2i00000000000000000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13000000000000000000000000000000
χ874-44-44i−4i−4i4i4-20000-442-2-42−4i4i4i−4i2i−2i−2i2i-22-220000002i−2i−2i2i000000000000000000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13000000000000000000000000000000
χ884-44-44i−4i−4i4i-2400002-2-442-42i−2i−2i2i−4i4i4i−4i-22-220000002i−2i−2i2i0000000000000000000000000000000000000000−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+ζ22000000000000000000
χ894-44-44i−4i−4i4i-2400002-2-442-42i−2i−2i2i−4i4i4i−4i-22-220000002i−2i−2i2i0000000000000000000000000000000000000000ζ4+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−ζ22000000000000000000
χ904-44-4−4i4i4i−4i440000-44-44-4-44i−4i−4i4i4i−4i−4i4i4-44-40000004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4−4i4i4i−4i4-20000-442-2-424i−4i−4i4i−2i2i2i−2i-22-22000000−2i2i2i−2i000000000000000000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000
χ924-44-4−4i4i4i−4i4-20000-442-2-424i−4i−4i4i−2i2i2i−2i-22-22000000−2i2i2i−2i00000000000000000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000
χ934-44-4−4i4i4i−4i-2400002-2-442-4−2i2i2i−2i4i−4i−4i4i-22-22000000−2i2i2i−2i0000000000000000000000000000000000000000−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−ζ22000000000000000000
χ944-44-4−4i4i4i−4i-2400002-2-442-4−2i2i2i−2i4i−4i−4i4i-22-22000000−2i2i2i−2i0000000000000000000000000000000000000000ζ4−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+ζ22000000000000000000
χ954-4-4444-4-4440000-4-4-4-444-4-444-4-4444-4-44000000-4-444000000000000000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-44-20000-4-4224-2-4-44422-2-2-222-200000022-2-2000000000000000000000000000000000000−2i32i3−2i32i300000000000000000000000000
χ974-4-4444-4-44-20000-4-4224-2-4-44422-2-2-222-200000022-2-20000000000000000000000000000000000002i3−2i32i3−2i300000000000000000000000000
χ984-4-4444-4-4-24000022-4-4-2422-2-2-4-444-222-200000022-2-20000000000000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6000000000000000000
χ994-4-4444-4-4-24000022-4-4-2422-2-2-4-444-222-200000022-2-20000000000000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6000000000000000000
χ1004-4-44-4-444440000-4-4-4-44444-4-444-4-44-4-4400000044-4-4000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-4-4444-20000-4-4224-244-4-4-2-222-222-2000000-2-22200000000000000000000000000000000000023−23−232300000000000000000000000000
χ1024-4-44-4-4444-20000-4-4224-244-4-4-2-222-222-2000000-2-222000000000000000000000000000000000000−232323−2300000000000000000000000000
χ1034-4-44-4-444-24000022-4-4-24-2-22244-4-4-222-2000000-2-22200000000000000000000000000000000000000006−6−66−666−6000000000000000000
χ1044-4-44-4-444-24000022-4-4-24-2-22244-4-4-222-2000000-2-2220000000000000000000000000000000000000000−666−66−6−66000000000000000000
χ1058-88-88i−8i−8i8i-4-400004-44-4444i−4i−4i4i4i−4i−4i4i2-22-2000000−2i2i2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8−8i8i8i−8i-4-400004-44-444−4i4i4i−4i−4i4i4i−4i2-22-20000002i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-8888-8-8-4-400004444-4-444-4-444-4-42-2-22000000-2-222000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-400004444-4-4-4-444-4-4442-2-2200000022-2-2000000000000000000000000000000000000000000000000000000000000000000

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