Finite Group Databasebeta

← Group #11777769

Character table — Group #11777769

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444666666666666666688888888888888888888881212121212121212121212121212121218181818181818182424242424242424242424247272
order122244443344446666661212121212121212366612121212121212121212121288888888888888888812121212242424242424242424242424242424242424242424242424242424242424242488888888224466661212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1
χ91111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-111-1-11111-1-1-1-1i−i
χ101111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1-1-11111−ii
χ111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−iii−i−iii−i−i−i−i−i−iiiii-1-1-1-111111-1-1111-1-1-1-111−ii
χ121111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii−ii11-1-1−i−iii−i−iii−i−i−i−iiiiiii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-111-1-1-11111-1-1i−i
χ131111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−ii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-111-1-1-11111-1-1−ii
χ141111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iiiiiii−i−i−i−i-1-1-1-111111-1-1111-1-1-1-111i−i
χ151111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiiii−i11-1-1ii−i−iii−i−iiiii−i−i−i−i−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1-1-11111i−i
χ161111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−ii11-1-1−i−iii−i−iii−i−i−i−iiiii−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-111-1-11111-1-1-1-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-22222-2-2-2-20000000000-2-2-2-200000000000000002222-2-2-2-2000000000000000000000000000000
χ182222222222-2-2-2-2222222222222222222-2-2-2-2-2-22222-2-2-2-2-2-222220000000000-2-2-2-20000000000000000-2-2-2-22222000000000000000000000000000000
χ19222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222220000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000002020-1-100-1-10000
χ20222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222222200000000-2-2-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-10000000000000000-20-201100110000
χ21222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-20000000022-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000-20-201100110000
χ22222222222-1222222-1-12-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-200000000-2-2-1-1-1-1-2-2-2-21111111111111111111100000000000000002020-1-100-1-10000
χ23222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-22222-2-2-2-2000000000011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1111100000000000000000000−i3i300−i3i30000
χ24222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-22222-2-2-2-2000000000011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1111100000000000000000000i3−i300i3−i30000
χ25222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-22222000000000011110000−i3i3−i3i3−i3−i3i3i3−i3−i3i3i31111-1-1-1-100000000000000000000i3−i300i3−i30000
χ26222222222-1-2-2-2-222-1-12-12222-1-1-1-1-1-1-1-1-2-21111-1-1-1-1-2-2-2-2-2-22222000000000011110000i3−i3i3−i3i3i3−i3−i3i3i3−i3−i31111-1-1-1-100000000000000000000−i3i300−i3i30000
χ2722222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1000000002222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-1-1-1-1-1-1-1-100000000020200-1-100-1-100
χ2822222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-10000000022222222-2-2-1-1-1-11111-2-2-2-21111111100000000-1-1-1-1-1-1-1-1000000000-20-20011001100
χ2922222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000011111111000000000-20-20011001100
χ3022222222-122222-1-122-12-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2-2-2-1-1-1-11111-2-2-2-211111111000000001111111100000000020200-1-100-1-100
χ312222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-2222i2i−2i−2i−2i−2i2i2i0000000000-2-22200000000000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000
χ322222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000000000-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000
χ332222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-11111222i2i−2i−2i−2i−2i2i2i000000000011-1-100003−3−3333−3−3−3−333−i−iiiii−i−i00000000000000000000−i3i300i3−i30000
χ342222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-11111222i2i−2i−2i−2i−2i2i2i000000000011-1-10000−333−3−3−33333−3−3−i−iiiii−i−i00000000000000000000i3−i300−i3i30000
χ352222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-1111122−2i−2i2i2i2i2i−2i−2i000000000011-1-100003−3−3333−3−3−3−333ii−i−i−i−iii00000000000000000000i3−i300−i3i30000
χ362222-2-2-2-22-122-2-222-1-12-1-2-2-2-21111-1-1-1-1-2-211-1-1111122−2i−2i2i2i2i2i−2i−2i000000000011-1-10000−333−3−3−33333−3−3ii−i−i−i−iii00000000000000000000−i3i300i3−i30000
χ372222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i2i−2i−2i2i2i−2i−2i000000002i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiii−i−iii−i−iii000000000000000020-20-1-100110000
χ382222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-22i2i−2i−2i2i2i−2i−2i00000000−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−i−i−iii−i−iii0000000000000000-20201100-1-10000
χ392222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i−2i2i2i−2i−2i2i2i000000002i−2i-1-1112i2i−2i−2i−i−iii−i−i−i−iiiiiii−i−iii−i−i0000000000000000-20201100-1-10000
χ402222-2-2-2-22-1-2-22222-1-12-1-2-2-2-21111-1-1-1-122-1-1111111-2-2−2i−2i2i2i−2i−2i2i2i00000000−2i2i-1-111−2i−2i2i2iii−i−iiiii−i−i−i−iii−i−iii−i−i000000000000000020-20-1-100110000
χ412222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-2111111000000002i2i2i2i−2i−2i−2i−2i2i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00000000−i−i−i−iiiii00000000020-200-1-1001100
χ422222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-2111111000000002i2i2i2i−2i−2i−2i−2i−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000−i−i−i−iiiii000000000-202001100-1-100
χ432222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-211111100000000−2i−2i−2i−2i2i2i2i2i2i−2i-1-111−i−iii2i2i−2i−2i−i−i−i−iiiii00000000iiii−i−i−i−i000000000-202001100-1-100
χ442222-2-2-2-2-12-2-222-1-122-121111-2-2-2-2-1-1-1-1-1-122-2-211111100000000−2i−2i−2i−2i2i2i2i2i−2i2i-1-111ii−i−i−2i−2i2i2iiiii−i−i−i−i00000000iiii−i−i−i−i00000000020-200-1-1001100
χ4522-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300001+i1+i−1−i−1−i1−i1−i−1+i−1+i22−2−2−i2−i2i2i200000000000000
χ4622-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−2−222i2i2−i2−i200000000000000
χ4722-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300001+i1+i−1−i−1−i1−i1−i−1+i−1+i−2−222i2i2−i2−i200000000000000
χ4822-2-22i−2i2i−2i2200002-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-20000002i−2i2i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000−1−i−1−i1+i1+i−1+i−1+i1−i1−i22−2−2−i2−i2i2i200000000000000
χ4922-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300001−i1−i−1+i−1+i1+i1+i−1−i−1−i22−2−2i2i2−i2−i200000000000000
χ5022-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−2−222−i2−i2i2i200000000000000
χ5122-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300001−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300001−i1−i−1+i−1+i1+i1+i−1−i−1−i−2−222−i2−i2i2i200000000000000
χ5222-2-2−2i2i−2i2i2200002-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2000000−2i2i−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000−1+i−1+i1−i1−i−1−i−1−i1+i1+i22−2−2i2i2−i2−i200000000000000
χ532-22-22i−2i−2i2i222i−2i2-2-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-22-22-22i−2i2i−2i−2i2i2i−2i0000000000000000002-22i−2i000000000000000000000000000000002-22-22i−2i2i−2i00000000000000
χ542-22-22i−2i−2i2i222i−2i2-2-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-22-22-22i−2i2i−2i−2i2i2i−2i0000000000000000002-22i−2i00000000000000000000000000000000-22-22−2i2i−2i2i00000000000000
χ552-22-22i−2i−2i2i22−2i2i-22-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-2-22-22−2i2i2i−2i−2i2i−2i2i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300-22−2i2i000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000
χ562-22-22i−2i−2i2i22−2i2i-22-22-22-2-22i−2i−2i2i2i−2i−2i2i2-22-2-22-22−2i2i2i−2i−2i2i−2i2i000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300-22−2i2i0000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000
χ572-22-22i−2i−2i2i-12−2i2i-221-1-221-2−iii−i2i−2i−2i2i-11-111-1-22−2i2i−iii−ii−i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000000000−i3i3003−300
χ582-22-22i−2i−2i2i-12−2i2i-221-1-221-2−iii−i2i−2i−2i2i-11-111-1-22−2i2i−iii−ii−i00000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ2300000000000000i3−i300−3300
χ592-22-22i−2i−2i2i-12−2i2i-221-1-221-2−iii−i2i−2i−2i2i-11-111-1-22−2i2i−iii−ii−i000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23001-1i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000i3−i300−3300
χ602-22-22i−2i−2i2i-12−2i2i-221-1-221-2−iii−i2i−2i−2i2i-11-111-1-22−2i2i−iii−ii−i000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23001-1i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ2300000000000000−i3i3003−300
χ612-22-2−2i2i2i−2i222i−2i-22-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-2-22-222i−2i−2i2i2i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300-222i−2i0000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000
χ622-22-2−2i2i2i−2i222i−2i-22-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-2-22-222i−2i−2i2i2i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300-222i−2i000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000
χ632-22-2−2i2i2i−2i22−2i2i2-2-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-22-22-2−2i2i−2i2i2i−2i−2i2i0000000000000000002-2−2i2i000000000000000000000000000000002-22-2−2i2i−2i2i00000000000000
χ642-22-2−2i2i2i−2i22−2i2i2-2-22-22-2-2−2i2i2i−2i−2i2i2i−2i2-22-22-22-2−2i2i−2i2i2i−2i−2i2i0000000000000000002-2−2i2i00000000000000000000000000000000-22-222i−2i2i−2i00000000000000
χ652-22-2−2i2i2i−2i-122i−2i-221-1-221-2i−i−ii−2i2i2i−2i-11-111-1-222i−2ii−i−ii−ii000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13001-1−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000i3−i3003−300
χ662-22-2−2i2i2i−2i-122i−2i-221-1-221-2i−i−ii−2i2i2i−2i-11-111-1-222i−2ii−i−ii−ii000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13001-1−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ1300000000000000−i3i300−3300
χ672-22-2−2i2i2i−2i-122i−2i-221-1-221-2i−i−ii−2i2i2i−2i-11-111-1-222i−2ii−i−ii−ii00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13001-1−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000−i3i300−3300
χ682-22-2−2i2i2i−2i-122i−2i-221-1-221-2i−i−ii−2i2i2i−2i-11-111-1-222i−2ii−i−ii−ii00000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13001-1−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ1300000000000000i3−i3003−300
χ692-2-2222-2-2220000-2-2-2-22222-2-222-2-22-2-2200000022-2-20000002i−2i2i−2i−i2i2i2−i2i2−i2−i2i2000000000000000000000000002i−2i2i−2i−i2i2i2−i2i2−i2−i2i22−2−22−222−200000000000000
χ702-2-2222-2-2220000-2-2-2-22222-2-222-2-22-2-2200000022-2-20000002i−2i2i−2ii2−i2−i2i2−i2i2i2−i2000000000000000000000000002i−2i2i−2ii2−i2−i2i2−i2i2i2−i2−222−22−2−2200000000000000
χ712-2-2222-2-2220000-2-2-2-22222-2-222-2-22-2-2200000022-2-2000000−2i2i−2i2i−i2i2i2−i2i2−i2−i2i200000000000000000000000000−2i2i−2i2i−i2i2i2−i2i2−i2−i2i2−222−22−2−2200000000000000
χ722-2-2222-2-2220000-2-2-2-22222-2-222-2-22-2-2200000022-2-2000000−2i2i−2i2ii2−i2−i2i2−i2i2i2−i200000000000000000000000000−2i2i−2i2ii2−i2−i2i2−i2i2i2−i22−2−22−222−200000000000000
χ732-2-22-2-222220000-2-2-2-222-2-222-2-2222-2-22000000-2-2220000002-2-222−2−222−2−22000000000000000000000000002-2-222−2−222−2−22−222−2−222−200000000000000
χ742-2-22-2-222220000-2-2-2-222-2-222-2-2222-2-22000000-2-2220000002-2-22−222−2−222−2000000000000000000000000002-2-22−222−2−222−22−2−222−2−2200000000000000
χ752-2-22-2-222220000-2-2-2-222-2-222-2-2222-2-22000000-2-222000000-222-22−2−222−2−2200000000000000000000000000-222-22−2−222−2−222−2−222−2−2200000000000000
χ762-2-22-2-222220000-2-2-2-222-2-222-2-2222-2-22000000-2-222000000-222-2−222−2−222−200000000000000000000000000-222-2−222−2−222−2−222−2−222−200000000000000
χ7744444444-24-4-4-4-4-2-244-24-2-2-2-24444-2-2-2-222-4-4-4-4-2-2-2-2220000000000000000002222000000000000000000000000000000000000000000000000000000
χ7844444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-20000000000000000441111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-2-2-21111-2-20000000000000000-4-4111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ8044444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111222222111122000000000000000000-1-1-1-10000−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-21111222222111122000000000000000000-1-1-1-100002i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000
χ824444-4-4-4-4-2444-4-4-2-244-242222-4-4-4-4-2-2-2-222-4-4442222-2-200000000000000000022-2-2000000000000000000000000000000000000000000000000000000
χ834444-4-4-4-4-2-244-4-4-2-2-2-2-2-22222222211112222-2-2-1-1-1-1-2-2000000000000000000-1-111000023−23−2323−3−33333−3−300000000000000000000000000000000000000
χ844444-4-4-4-4-2-244-4-4-2-2-2-2-2-22222222211112222-2-2-1-1-1-1-2-2000000000000000000-1-1110000−232323−2333−3−3−3−33300000000000000000000000000000000000000
χ854444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-2-2-222-1-1-1-12200000000000000004i−4i11-1-1−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−i00000000000000000000000000000000000000
χ864444-4-4-4-4-2-2-4-444-2-2-2-2-2-2222222221111-2-2-2-222-1-1-1-1220000000000000000−4i4i11-1-12i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii00000000000000000000000000000000000000
χ8744-4-44i−4i4i−4i4-200004-4-22-424i−4i4i−4i−2i2i−2i2i-2-222000000−2i2i−2i2i004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ130000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ8844-4-44i−4i4i−4i4-200004-4-22-424i−4i4i−4i−2i2i−2i2i-2-222000000−2i2i−2i2i00−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ1300000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ8944-4-44i−4i4i−4i-240000-224-42-4−2i2i−2i2i4i−4i4i−4i-2-222000000−2i2i−2i2i00000000002+2i2+2i−2−2i−2−2i2−2i2−2i−2+2i−2+2i000000000000000000000000000000−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000000000
χ9044-4-44i−4i4i−4i-240000-224-42-4−2i2i−2i2i4i−4i4i−4i-2-222000000−2i2i−2i2i0000000000−2−2i−2−2i2+2i2+2i−2+2i−2+2i2−2i2−2i0000000000000000000000000000001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000000000
χ9144-4-4−4i4i−4i4i4-200004-4-22-42−4i4i−4i4i2i−2i2i−2i-2-2220000002i−2i2i−2i00−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2300000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ9244-4-4−4i4i−4i4i4-200004-4-22-42−4i4i−4i4i2i−2i2i−2i-2-2220000002i−2i2i−2i004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ9344-4-4−4i4i−4i4i-240000-224-42-42i−2i2i−2i−4i4i−4i4i-2-2220000002i−2i2i−2i00000000002−2i2−2i−2+2i−2+2i2+2i2+2i−2−2i−2−2i000000000000000000000000000000−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000000000
χ9444-4-4−4i4i−4i4i-240000-224-42-42i−2i2i−2i−4i4i−4i4i-2-2220000002i−2i2i−2i0000000000−2+2i−2+2i2−2i2−2i−2−2i−2−2i2+2i2+2i0000000000000000000000000000001−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000000000
χ954-44-44i−4i−4i4i4-24i−4i4-4-442-2-424i−4i−4i4i−2i2i2i−2i-22-224-4-22−2i2i−2i2i2i−2i4i−4i000000000000000000-22−2i2i000000000000000000000000000000000000000000000000000000
χ964-44-44i−4i−4i4i4-2−4i4i-44-442-2-424i−4i−4i4i−2i2i2i−2i-22-22-442-22i−2i−2i2i2i−2i−4i4i0000000000000000002-22i−2i000000000000000000000000000000000000000000000000000000
χ974-44-44i−4i−4i4i-244i−4i4-42-2-442-4−2i2i2i−2i4i−4i−4i4i-22-22-224-44i−4i−2i2i2i−2i−2i2i000000000000000000-22−2i2i000000000000000000000000000000000000000000000000000000
χ984-44-44i−4i−4i4i-2-24i−4i4-42-22-222−2i2i2i−2i−2i2i2i−2i1-11-1-22-22−2i2ii−i−ii−2i2i0000000000000000001-1i−i00000000−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ2300000000000000000000000000000000000000
χ994-44-44i−4i−4i4i-2-24i−4i4-42-22-222−2i2i2i−2i−2i2i2i−2i1-11-1-22-22−2i2ii−i−ii−2i2i0000000000000000001-1i−i000000003ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ2300000000000000000000000000000000000000
χ1004-44-44i−4i−4i4i-2-2−4i4i-442-22-222−2i2i2i−2i−2i2i2i−2i1-11-12-22-22i−2ii−i−ii2i−2i000000000000000000-11−ii2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000000000
χ1014-44-44i−4i−4i4i-2-2−4i4i-442-22-222−2i2i2i−2i−2i2i2i−2i1-11-12-22-22i−2ii−i−ii2i−2i000000000000000000-11−ii−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000000000
χ1024-44-4−4i4i4i−4i4-24i−4i-44-442-2-42−4i4i4i−4i2i−2i−2i2i-22-22-442-2−2i2i2i−2i−2i2i4i−4i0000000000000000002-2−2i2i000000000000000000000000000000000000000000000000000000
χ1034-44-4−4i4i4i−4i4-2−4i4i4-4-442-2-42−4i4i4i−4i2i−2i−2i2i-22-224-4-222i−2i2i−2i−2i2i−4i4i000000000000000000-222i−2i000000000000000000000000000000000000000000000000000000
χ1044-44-4−4i4i4i−4i-24−4i4i4-42-2-442-42i−2i−2i2i−4i4i4i−4i-22-22-224-4−4i4i2i−2i−2i2i2i−2i000000000000000000-222i−2i000000000000000000000000000000000000000000000000000000
χ1054-44-4−4i4i4i−4i-2-24i−4i-442-22-2222i−2i−2i2i2i−2i−2i2i1-11-12-22-2−2i2i−iii−i−2i2i000000000000000000-11i−i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000000000
χ1064-44-4−4i4i4i−4i-2-24i−4i-442-22-2222i−2i−2i2i2i−2i−2i2i1-11-12-22-2−2i2i−iii−i−2i2i000000000000000000-11i−i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000000000
χ1074-44-4−4i4i4i−4i-2-2−4i4i4-42-22-2222i−2i−2i2i2i−2i−2i2i1-11-1-22-222i−2i−iii−i2i−2i0000000000000000001-1−ii000000003ζ7+3ζ23−3ζ7−3ζ23−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13−3ζ5−3ζ133ζ5+3ζ1300000000000000000000000000000000000000
χ1084-44-4−4i4i4i−4i-2-2−4i4i4-42-22-2222i−2i−2i2i2i−2i−2i2i1-11-1-22-222i−2i−iii−i2i−2i0000000000000000001-1−ii00000000−3ζ7−3ζ233ζ7+3ζ233ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ133ζ5+3ζ13−3ζ5−3ζ1300000000000000000000000000000000000000
χ1094-4-4444-4-44-20000-4-4224-244-4-4-2-222-222-2000000-2-2220000004i−4i4i−4i0000000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ1104-4-4444-4-44-20000-4-4224-244-4-4-2-222-222-2000000-2-222000000−4i4i−4i4i00000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ1114-4-4444-4-4-24000022-4-4-24-2-22244-4-4-222-2000000-2-2220000000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000000000000000000000
χ1124-4-4444-4-4-24000022-4-4-24-2-22244-4-4-222-2000000-2-22200000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000000000000000000000
χ1134-4-44-4-4444-20000-4-4224-2-4-44422-2-2-222-200000022-2-20000004-4-440000000000000000000000000000000000-222-2000000000000000000000000000000
χ1144-4-44-4-4444-20000-4-4224-2-4-44422-2-2-222-200000022-2-2000000-444-400000000000000000000000000000000002-2-22000000000000000000000000000000
χ1154-4-44-4-444-24000022-4-4-2422-2-2-4-444-222-200000022-2-2000000000022−22−222222−22−2222000000000000000000000000000000−222−2−222−20000000000000000000000
χ1164-4-44-4-444-24000022-4-4-2422-2-2-4-444-222-200000022-2-20000000000−222222−22−222222−220000000000000000000000000000002−2−222−2−220000000000000000000000
χ11788-8-88i−8i8i−8i-4-40000-44-4444−4i4i−4i4i−4i4i−4i4i22-2-20000002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8−8i8i−8i8i-4-40000-44-44444i−4i4i−4i4i−4i4i−4i22-2-2000000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8888-8-8-4-400004444-4-4-4-444-4-4442-2-2200000022-2-2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-8-888-4-400004444-4-444-4-444-4-42-2-22000000-2-222000000000000000000000000000000000000000000000000000000000000000000000000000000

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