Finite Group Databasebeta

← Group #13161763

Character table — Group #13161763

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12442333466612121212121233333666666668812121212121212121212121212242424246666612121212122424242424242424242424242424242424242424242424248888444488888824242424224466881212121212122424242424246122424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111111-11-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ61111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11-11-1-111-1-1-1-1-1-111-1-1-1-11111
χ71111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-11111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111-1-11111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-1
χ911-1-1-11111111-1-1-1-1-1-111111-1-111111-1i−i11-1-1-1-1-1-1-1-1-1-11ii−i−i-1-1-1-1-111111i−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−i−ii−i11-1-1ii−i−i11-1-111i−i-1-1ii−i−ii−i11-1-11-1i−i
χ1011-1-1-11111111-1-1-1-1-1-111111-1-111111-1i−i11-1-1-1-1-1-1-1-1-1-11ii−i−i-1-1-1-1-111111i−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiii−i-1-111ii−i−i1-1-1111−ii-1-1−i−iiii−i-1-111-11−ii
χ1111-1-1-11111111-1-1-1-1-1-111111-1-111111-1i−i11-1-1-1-1-1-1-1-1-1-11ii−i−i-1-1-1-1-111111i−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−ii-1-111−i−iii-111-1-1-1−ii11ii−i−i−ii-1-1111-1−ii
χ1211-1-1-11111111-1-1-1-1-1-111111-1-111111-1i−i11-1-1-1-1-1-1-1-1-1-11ii−i−i-1-1-1-1-111111i−ii−iiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iii−i−iii−ii11-1-1−i−iii-1-111-1-1i−i11−i−iii−ii11-1-1-11i−i
χ1311-1-1-11111111-1-1-1-1-1-111111-1-111111-1−ii11-1-1-1-1-1-1-1-1-1-11−i−iii-1-1-1-1-111111−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−iii−i−ii−i11-1-1ii−i−i-1-111-1-1−ii11ii−i−ii−i11-1-1-11−ii
χ1411-1-1-11111111-1-1-1-1-1-111111-1-111111-1−ii11-1-1-1-1-1-1-1-1-1-11−i−iii-1-1-1-1-111111−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiii−i-1-111ii−i−i-111-1-1-1i−i11−i−iiii−i-1-1111-1i−i
χ1511-1-1-11111111-1-1-1-1-1-111111-1-111111-1−ii11-1-1-1-1-1-1-1-1-1-11−i−iii-1-1-1-1-111111−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−iiiii−i−i−ii-1-111−i−iii1-1-1111i−i-1-1ii−i−i−ii-1-111-11i−i
χ1611-1-1-11111111-1-1-1-1-1-111111-1-111111-1−ii11-1-1-1-1-1-1-1-1-1-11−i−iii-1-1-1-1-111111−ii−ii−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−iii−ii11-1-1−i−iii11-1-111−ii-1-1−i−iii−ii11-1-11-1−ii
χ172222222-1222-12222-1-12-1-1-1-12-12-1-1-1-12222-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000220000-1-1-1-12020-1-100-1-10000-1-100000000
χ182222222-1222-12222-1-12-1-1-1-12-12-1-1-1-12222-122-1-1-1-1-1-1-1-12-1-1-1-12-1-1-1-12-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-200001111-20-2011001100001100000000
χ192222222-1222-12222-1-12-1-1-1-12-12-1-1-1-12-2-22-122-1-1-1-1-1-1-1-1211112-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111-2-21111111122220000220000-1-1-1-1-20-201100110000-1-100000000
χ202222222-1222-12222-1-12-1-1-1-12-12-1-1-1-12-2-22-122-1-1-1-1-1-1-1-1211112-1-1-1-12-1-1-1-1-2-2-2-2-2-211111111-2-211111111-2-2-2-20000-2-2000011112020-1-100-1-100001100000000
χ21222222-1222-12-1-12222-12-1-1-122-12-1-1-1-122-12-1-122-1-1-1-1-1-122222-12-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000222200000000000202000000-1-1-1-1000000-1-100
χ22222222-1222-12-1-12222-12-1-1-122-12-1-1-1-122-12-1-122-1-1-1-1-1-122222-12-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000000-20-200000011110000001100
χ23222222-1222-12-1-12222-12-1-1-122-12-1-1-1-1-2-2-12-1-122-1-1-1-1-1-12-2-2-2-2-12-1-1-1-12-1-1-111-2-211-2-211111111-2-21111110000222200000000000-20-2000000-1-1-1-10000001100
χ24222222-1222-12-1-12222-12-1-1-122-12-1-1-1-1-2-2-12-1-122-1-1-1-1-1-12-2-2-2-2-12-1-1-1-12-1-1-111-2-211-2-211111111-2-21111110000-2-2-2-2000000000002020000001111000000-1-100
χ2522222-1222-12222-1-122-1-12-1-1-12-1-12-1-122222-1-1-1-122-1-1-1-1-12222-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000222200000000002200000000-1-1-1-100-1-1
χ2622222-1222-12222-1-122-1-12-1-1-12-1-12-1-122222-1-1-1-122-1-1-1-1-12222-1-12-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000000000-2-2-2-20000000000-2-20000000011110011
χ2722222-1222-12222-1-122-1-12-1-1-12-1-12-1-12-2-222-1-1-1-122-1-1-1-1-1-2-2-2-2-1-12-1-1-1-12-1-1-2-2111111-2-211111111-2-21111000000000022220000000000-2-200000000-1-1-1-10011
χ2822222-1222-12222-1-122-1-12-1-1-12-1-12-1-12-2-222-1-1-1-122-1-1-1-1-1-2-2-2-2-1-12-1-1-1-12-1-1-2-2111111-2-211111111-2-211110000000000-2-2-2-200000000002200000000111100-1-1
χ292222-2222-222222222222222-2-222222-200-2-22222222222-20000-2-2-2-2-2-2-2-2-2-200000000000000000000000022220000-2-20000222200000000000000-2-200000000
χ302222-2222-222222222222222-2-222222-200-2-22222222222-20000-2-2-2-2-2-2-2-2-2-2000000000000000000000000-2-2-2-20000220000-2-2-2-2000000000000002200000000
χ312222-222-1-222-12222-1-12-1-1-1-1-212-1-1-1-1-200-2122-1-1-1-1-1-1-1-1-2−i3i3−i3i3-21111-21111000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i322220000-2-20000-1-1-1-10000−i3i300−i3i300001100000000
χ322222-222-1-222-12222-1-12-1-1-1-1-212-1-1-1-1-200-2122-1-1-1-1-1-1-1-1-2−i3i3−i3i3-21111-21111000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i3-2-2-2-2000022000011110000i3−i300i3−i30000-1-100000000
χ332222-222-1-222-12222-1-12-1-1-1-1-212-1-1-1-1-200-2122-1-1-1-1-1-1-1-1-2i3−i3i3−i3-21111-21111000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i322220000-2-20000-1-1-1-10000i3−i300i3−i300001100000000
χ342222-222-1-222-12222-1-12-1-1-1-1-212-1-1-1-1-200-2122-1-1-1-1-1-1-1-1-2i3−i3i3−i3-21111-21111000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i3-2-2-2-2000022000011110000−i3i300−i3i30000-1-100000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2000022222-2-2-2-2-20000000000000000000000002i2i−2i−2i0000−2i2i00002i2i−2i−2i00000000000000−2i2i00000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222222200-2-2-2-2-2-2-2-2-2-2-2-2-2000022222-2-2-2-2-2000000000000000000000000−2i−2i2i2i00002i−2i0000−2i−2i2i2i000000000000002i−2i00000000
χ3722-2-2222-1-222-1-2-2-2-2112-1-1-1-12-12-1-1-1-1200-21-2-211111111-23−3−332-1-1-1-1-211110000003−33−333−3−300−33−33−3−3332i2i−2i−2i0000−2i2i0000−i−iii0000−i3i300i3−i30000i−i00000000
χ3822-2-2222-1-222-1-2-2-2-2112-1-1-1-12-12-1-1-1-1200-21-2-211111111-23−3−332-1-1-1-1-211110000003−33−333−3−300−33−33−3−333−2i−2i2i2i00002i−2i0000ii−i−i0000i3−i300−i3i30000−ii00000000
χ3922-2-2222-1-222-1-2-2-2-2112-1-1-1-12-12-1-1-1-1200-21-2-211111111-2−333−32-1-1-1-1-21111000000−33−33−3−333003−33−333−3−32i2i−2i−2i0000−2i2i0000−i−iii0000i3−i300−i3i30000i−i00000000
χ4022-2-2222-1-222-1-2-2-2-2112-1-1-1-12-12-1-1-1-1200-21-2-211111111-2−333−32-1-1-1-1-21111000000−33−33−3−333003−33−333−3−3−2i−2i2i2i00002i−2i0000ii−i−i0000−i3i300i3−i30000−ii00000000
χ4122-2-2-222-1222-1-2-2-2-2112-1-1-1-1-212-1-1-1-1-22i−2i2-1-2-2111111112−i−iii-211112-1-1-1-12i−2i2i−2i2i2i−i−i−i−i−i−i−i−i−2i−2iiiiiiiii2i2i−2i−2i00002i−2i0000−i−iii20-20-1-100110000−ii00000000
χ4222-2-2-222-1222-1-2-2-2-2112-1-1-1-1-212-1-1-1-1-22i−2i2-1-2-2111111112−i−iii-211112-1-1-1-12i−2i2i−2i2i2i−i−i−i−i−i−i−i−i−2i−2iiiiiiiii−2i−2i2i2i0000−2i2i0000ii−i−i-20201100-1-10000i−i00000000
χ4322-2-2-222-1222-1-2-2-2-2112-1-1-1-1-212-1-1-1-1-2−2i2i2-1-2-2111111112ii−i−i-211112-1-1-1-1−2i2i−2i2i−2i−2iiiiiiiii2i2i−i−i−i−i−i−i−i−i2i2i−2i−2i00002i−2i0000−i−iii-20201100-1-10000−ii00000000
χ4422-2-2-222-1222-1-2-2-2-2112-1-1-1-1-212-1-1-1-1-2−2i2i2-1-2-2111111112ii−i−i-211112-1-1-1-1−2i2i−2i2i−2i−2iiiiiiiii2i2i−i−i−i−i−i−i−i−i−2i−2i2i2i0000−2i2i0000ii−i−i20-20-1-100110000i−i00000000
χ4522-2-2-22-1222-1211-2-2-2-2-12-1-1-1-2-2-12-1-1-112i−2i-1211-2-211111122i2i−2i−2i1-2111-12-1-1-1−ii2i−2i−i−i2i2i−i−i−i−i−i−iii−2i−2iiiiiii00002i2i−2i−2i0000000000020-2000000−i−iii000000-1100
χ4622-2-2-22-1222-1211-2-2-2-2-12-1-1-1-2-2-12-1-1-112i−2i-1211-2-211111122i2i−2i−2i1-2111-12-1-1-1−ii2i−2i−i−i2i2i−i−i−i−i−i−iii−2i−2iiiiiii0000−2i−2i2i2i00000000000-202000000ii−i−i0000001-100
χ4722-2-2-22-1222-1211-2-2-2-2-12-1-1-1-2-2-12-1-1-11−2i2i-1211-2-21111112−2i−2i2i2i1-2111-12-1-1-1i−i−2i2iii−2i−2iiiiiii−i−i2i2i−i−i−i−i−i−i00002i2i−2i−2i00000000000-202000000−i−iii0000001-100
χ4822-2-2-22-1222-1211-2-2-2-2-12-1-1-1-2-2-12-1-1-11−2i2i-1211-2-21111112−2i−2i2i2i1-2111-12-1-1-1i−i−2i2iii−2i−2iiiiiii−i−i2i2i−i−i−i−i−i−i0000−2i−2i2i2i0000000000020-2000000ii−i−i000000-1100
χ4922-2-2-2-1222-122-2-211-2-2-1-12-1-11-2-1-12-1-1-22i−2i221111-2-21111-12i2i−2i−2i11-211-1-12-1-12i−2i−ii−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii000000000022-2-200000000002i−2i00000000-1-11100−ii
χ5022-2-2-2-1222-122-2-211-2-2-1-12-1-11-2-1-12-1-1-22i−2i221111-2-21111-12i2i−2i−2i11-211-1-12-1-12i−2i−ii−i−i−i−i2i2i−i−i−i−iiiii−2i−2iiiii0000000000-2-2220000000000−2i2i0000000011-1-100i−i
χ5122-2-2-2-1222-122-2-211-2-2-1-12-1-11-2-1-12-1-1-2−2i2i221111-2-21111-1−2i−2i2i2i11-211-1-12-1-1−2i2ii−iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i000000000022-2-20000000000−2i2i00000000-1-11100i−i
χ5222-2-2-2-1222-122-2-211-2-2-1-12-1-11-2-1-12-1-1-2−2i2i221111-2-21111-1−2i−2i2i2i11-211-1-12-1-1−2i2ii−iiiii−2i−2iiiii−i−i−i−i2i2i−i−i−i−i0000000000-2-22200000000002i−2i0000000011-1-100−ii
χ532-22i−2i02220-2-2-22i−2i2i−2i2i−2i2222200-2-2-2-2-2000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i−1−i1−i−1+i002−2−i2i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000001+i−1−i1−i−1+i002−2−i2i20000
χ542-22i−2i02220-2-2-22i−2i2i−2i2i−2i2222200-2-2-2-2-2000002i−2i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1−i1+i−1+i1−i00−22i2−i22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000−1−i1+i−1+i1−i00−22i2−i20000
χ552-22i−2i02220-2-2-22i−2i2i−2i2i−2i2222200-2-2-2-2-2000002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i−1−i1−i−1+i00−22i2−i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000001+i−1−i1−i−1+i00−22i2−i20000
χ562-22i−2i02220-2-2-22i−2i2i−2i2i−2i2222200-2-2-2-2-2000002i−2i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1−i1+i−1+i1−i002−2−i2i2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000−1−i1+i−1+i1−i002−2−i2i20000
χ572-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2222200-2-2-2-2-200000−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231−i−1+i1+i−1−i002−2i2−i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000001−i−1+i1+i−1−i002−2i2−i20000
χ582-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2222200-2-2-2-2-200000−2i2i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1+i1−i−1−i1+i00−22−i2i2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000−1+i1−i−1−i1+i00−22−i2i20000
χ592-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2222200-2-2-2-2-200000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231−i−1+i1+i−1−i00−22−i2i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000001−i−1+i1+i−1−i00−22−i2i20000
χ602-2−2i2i02220-2-2-2−2i2i−2i2i−2i2i2222200-2-2-2-2-200000−2i2i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1+i1−i−1−i1+i002−2i2−i22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000−1+i1−i−1−i1+i002−2i2−i20000
χ61444444-2-244-2-2-2-244-2-2-2-21114-2-2-2111-244-2-2-2-2-2-21111114-2-2-2-2-2-2111-2-2111-2-244-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ62444444-2-244-2-2-2-244-2-2-2-21114-2-2-2111-2-4-4-2-2-2-2-2-211111142222-2-2111-2-211122-4-42222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-24-24-24-244-2-2-2-2-21-211-2-2-21-2114444-2-2-211-2-21111-2-2-2-2-2-21-211-21-21144-2-2-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ6444444-24-24-24-244-2-2-2-2-21-211-2-2-21-2114-4-44-2-2-211-2-21111-22222-21-211-21-211-4-42222-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ6544444-2-244-2-24-2-2-2-2441-2-211-241-2-211-244-2411-2-2-2-21111-244441-2-2111-2-211-2-2-2-211-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ6644444-2-244-2-24-2-2-2-2441-2-211-241-2-211-2-4-4-2411-2-2-2-21111-2-4-4-4-41-2-2111-2-2112222-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ6744444-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-244-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ6844444-2-2-24-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-2-4-4-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32-22222111−1−3i32−1+3i32111−1−3i32−1+3i322222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ6944444-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-244-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ7044444-2-2-24-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-2-4-4-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32-22222111−1+3i32−1−3i32111−1+3i32−1−3i322222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ714444-44-24-44-24-2-24444-24-2-2-2-4-4-24-2-2-22002-4-2-244-2-2-2-2-2-2-400002-42222-4222000000000000000000000000000000000000000000000000000000000000000000
χ724444-44-2-2-44-2-2-2-244-2-2-2-2111-42-2-211120022-2-2-2-2111111-4−2i32i3−2i32i322-1-1-122-1-1-1000000−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ734444-44-2-2-44-2-2-2-244-2-2-2-2111-42-2-211120022-2-2-2-2111111-42i3−2i32i3−2i322-1-1-122-1-1-10000002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ744444-4-244-4-24444-2-244-2-24-2-22-4-2-24-2-2-400-4-4-2-2-2-244-2-2-2-22000022-42222-422000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-24-2-4-24-244-2-2-2-2-21-21122-21-211-400-42-2-211-2-211112−2i32i3−2i32i32-12-1-12-12-1-1000000i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ764444-4-24-2-4-24-244-2-2-2-2-21-21122-21-211-400-42-2-211-2-2111122i3−2i32i3−2i32-12-1-12-12-1-1000000−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ774444-4-2-24-4-2-24-2-2-2-2441-2-2112-41-2-2112002-411-2-2-2-2111120000-122-1-1-122-1-100003-300003-3-333-300003-3-33000000000000000000000000000000000000000000
χ784444-4-2-24-4-2-24-2-2-2-2441-2-2112-41-2-2112002-411-2-2-2-2111120000-122-1-1-122-1-10000-330000-333-3-330000-333-3000000000000000000000000000000000000000000
χ794444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3222111−1−3i32−1+3i3220022111111−1−3i32−1+3i32−1−3i32−1+3i322−2i32i3−2i32i3-1-1-11+3i321−3i32-1-1-11+3i321−3i3200003-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ804444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3222111−1−3i32−1+3i3220022111111−1−3i32−1+3i32−1−3i32−1+3i3222i3−2i32i3−2i3-1-1-11+3i321−3i32-1-1-11+3i321−3i320000-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ814444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3222111−1+3i32−1−3i3220022111111−1+3i32−1−3i32−1+3i32−1−3i322−2i32i3−2i32i3-1-1-11−3i321+3i32-1-1-11−3i321+3i320000-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ824444-4-2-2-2-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3222111−1+3i32−1−3i3220022111111−1+3i32−1−3i32−1+3i32−1−3i3222i3−2i32i3−2i3-1-1-11−3i321+3i32-1-1-11−3i321+3i3200003-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ8344-4-444-24-44-2422-4-4-4-4-24-2-2-244-24-2-2-2-2002-422-4-4222222-40000-24-2-2-22-4222000000000000000000000000000000000000000000000000000000000000000000
χ8444-4-444-2-2-44-2-222-4-422-2-21114-2-2-2111-200222222-1-1-1-1-1-1-423−23−2323-2-211122-1-1-100000023−23−33−3−33300−23233−333−3−3000000000000000000000000000000000000000000
χ8544-4-444-2-2-44-2-222-4-422-2-21114-2-2-2111-200222222-1-1-1-1-1-1-4−232323−23-2-211122-1-1-1000000−23233−333−3−30023−23−33−3−333000000000000000000000000000000000000000000
χ8644-4-44-244-4-244-4-422-4-4-2-24-2-2-24-2-24-2-2400-4-42222-4-4222220000-2-24-2-222-422000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-44-24-2-4-24-2-4-42222-21-211-2-2-21-211400-4222-1-122-1-1-1-1223−23−2323-21-2112-12-1-1000000−3323−23−3−333003−3−232333−3−3000000000000000000000000000000000000000000
χ8844-4-44-24-2-4-24-2-4-42222-21-211-2-2-21-211400-4222-1-122-1-1-1-12−232323−23-21-2112-12-1-10000003−3−232333−3−300−3323−23−3−333000000000000000000000000000000000000000000
χ8944-4-44-2-24-4-2-242222-4-41-2-211-241-2-211-2002-4-1-12222-1-1-1-1200001-2-211-122-1-100003i−3i00003i−3i−3i3i−3i3i0000−3i3i3i−3i000000000000000000000000000000000000000000
χ9044-4-44-2-24-4-2-242222-4-41-2-211-241-2-211-2002-4-1-12222-1-1-1-1200001-2-211-122-1-10000−3i3i0000−3i3i3i−3i3i−3i00003i−3i−3i3i000000000000000000000000000000000000000000
χ9144-4-44-2-2-2-4-2-2-2222222111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-20022-1-1-1-1-1-11+3i321−3i321+3i321−3i32223−23−2323111−1−3i32−1+3i32-1-1-11+3i321−3i3200003i−3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22−3i3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ22000000000000000000000000000000000000000000
χ9244-4-44-2-2-2-4-2-2-2222222111−1−3i32−1+3i32-2-2111−1−3i32−1+3i32-20022-1-1-1-1-1-11+3i321−3i321+3i321−3i322−232323−23111−1−3i32−1+3i32-1-1-11+3i321−3i320000−3i3i3−33−3−ζ14−2ζ222ζ14+ζ22ζ14+2ζ22−2ζ14−ζ223i−3i−33−33ζ14+2ζ22−2ζ14−ζ22−ζ14−2ζ222ζ14+ζ22000000000000000000000000000000000000000000
χ9344-4-44-2-2-2-4-2-2-2222222111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-20022-1-1-1-1-1-11−3i321+3i321−3i321+3i32223−23−2323111−1+3i32−1−3i32-1-1-11−3i321+3i320000−3i3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ223i−3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22000000000000000000000000000000000000000000
χ9444-4-44-2-2-2-4-2-2-2222222111−1+3i32−1−3i32-2-2111−1+3i32−1−3i32-20022-1-1-1-1-1-11−3i321+3i321−3i321+3i322−232323−23111−1+3i32−1−3i32-1-1-11−3i321+3i3200003i−3i3−33−32ζ14+ζ22−ζ14−2ζ22−2ζ14−ζ22ζ14+2ζ22−3i3i−33−33−2ζ14−ζ22ζ14+2ζ222ζ14+ζ22−ζ14−2ζ22000000000000000000000000000000000000000000
χ9544-4-4-44-2-244-2-222-4-422-2-2111-42-2-211124i−4i-2-22222-1-1-1-1-1-14−2i−2i2i2i22-1-1-1-2-2111−2i2i4i−4i−2i−2i−2i−2iiiiiii2i2i2i2i−i−i−i−i−i−i000000000000000000000000000000000000000000
χ9644-4-4-44-2-244-2-222-4-422-2-2111-42-2-21112−4i4i-2-22222-1-1-1-1-1-142i2i−2i−2i22-1-1-1-2-21112i−2i−4i4i2i2i2i2i−i−i−i−i−i−i−2i−2i−2i−2iiiiiii000000000000000000000000000000000000000000
χ9744-4-4-4-24-24-24-2-4-42222-21-21122-21-211-44i−4i4-222-1-122-1-1-1-1-2−2i−2i2i2i2-12-1-1-21-2114i−4i−2i2i−2i−2iii−2i−2iiiii2i2i−i−i2i2i−i−i−i−i000000000000000000000000000000000000000000
χ9844-4-4-4-24-24-24-2-4-42222-21-21122-21-211-4−4i4i4-222-1-122-1-1-1-1-22i2i−2i−2i2-12-1-1-21-211−4i4i2i−2i2i2i−i−i2i2i−i−i−i−i−2i−2iii−2i−2iiiii000000000000000000000000000000000000000000
χ9944-4-4-4-2-244-2-242222-4-41-2-2112-41-2-21124i−4i-24-1-12222-1-1-1-1-24i4i−4i−4i-122-1-11-2-211−2i2i−2i2iii−2i−2i−2i−2iiiii−i−i2i2i2i2i−i−i−i−i000000000000000000000000000000000000000000
χ10044-4-4-4-2-244-2-242222-4-41-2-2112-41-2-2112−4i4i-24-1-12222-1-1-1-1-2−4i−4i4i4i-122-1-11-2-2112i−2i2i−2i−i−i2i2i2i2i−i−i−i−iii−2i−2i−2i−2iiiii000000000000000000000000000000000000000000
χ10144-4-4-4-2-2-24-2-2-2222222111−1−3i32−1+3i3222111−1−3i32−1+3i3224i−4i-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2−2i−2i2i2i-1-1-11+3i321−3i32111−1−3i32−1+3i32−2i2i−2i2iiiiiii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−i−i−i−i−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22000000000000000000000000000000000000000000
χ10244-4-4-4-2-2-24-2-2-2222222111−1−3i32−1+3i3222111−1−3i32−1+3i322−4i4i-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-22i2i−2i−2i-1-1-11+3i321−3i32111−1−3i32−1+3i322i−2i2i−2i−i−i−i−i−i−iζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22iiiiii−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ222ζ14−ζ22000000000000000000000000000000000000000000
χ10344-4-4-4-2-2-24-2-2-2222222111−1+3i32−1−3i3222111−1+3i32−1−3i3224i−4i-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2−2i−2i2i2i-1-1-11−3i321+3i32111−1+3i32−1−3i32−2i2i−2i2iiiiiii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22−i−i−i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22000000000000000000000000000000000000000000
χ10444-4-4-4-2-2-24-2-2-2222222111−1+3i32−1−3i3222111−1+3i32−1−3i322−4i4i-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-22i2i−2i−2i-1-1-11−3i321+3i32111−1+3i32−1−3i322i−2i2i−2i−i−i−i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2ζ14+ζ22ζ14−2ζ22iiiiii2ζ14−ζ22−ζ14+2ζ222ζ14−ζ22−ζ14+2ζ22000000000000000000000000000000000000000000
χ1054-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2-2-200-42222000004i−4i−2i2i−2i2i−2i−2i2i2i0000000000000000000000000000000000000004ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ130000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ1064-44i−4i044-20-4-424i−4i4i−4i−2i2i4-2-2-2-200-42222000004i−4i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ1300000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ1074-44i−4i04-240-42-4−2i2i4i−4i4i−4i-24-2-2-2002-422200000−2i2i4i−4i−2i2i−2i−2i2i2i00000000000000000000000000000000000000000002+2i−2−2i2−2i−2+2i00000000000000000000−1−i1+i−1+i1−i0000000000
χ1084-44i−4i04-240-42-4−2i2i4i−4i4i−4i-24-2-2-2002-422200000−2i2i4i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000−2−2i2+2i−2+2i2−2i000000000000000000001+i−1−i1−i−1+i0000000000
χ1094-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-24-2-20022-42200000−2i2i−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000022−22−2i22i200000000000000000000−22i2−i20000
χ1104-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-24-2-20022-42200000−2i2i−2i2i4i−4i−2i−2i2i2i0000000000000000000000000000000000000000000000000−22222i2−2i2000000000000000000002−2−i2i20000
χ1114-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2-2-200-4222200000−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ2300000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ1124-4−4i4i044-20-4-42−4i4i−4i4i2i−2i4-2-2-2-200-4222200000−4i4i2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000000000000004ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ230000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ1134-4−4i4i04-240-42-42i−2i−4i4i−4i4i-24-2-2-2002-4222000002i−2i−4i4i2i−2i2i2i−2i−2i00000000000000000000000000000000000000000002−2i−2+2i2+2i−2−2i00000000000000000000−1+i1−i−1−i1+i0000000000
χ1144-4−4i4i04-240-42-42i−2i−4i4i−4i4i-24-2-2-2002-4222000002i−2i−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000−2+2i2−2i−2−2i2+2i000000000000000000001−i−1+i1+i−1−i0000000000
χ1154-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-24-2-20022-422000002i−2i2i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000022−222i2−2i200000000000000000000−22−i2i20000
χ1164-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-24-2-20022-422000002i−2i2i−2i−4i4i2i2i−2i−2i0000000000000000000000000000000000000000000000000−2222−2i22i2000000000000000000002−2i2−i20000
χ1178-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-42220044-2-2-200000−4i4i−4i4i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88i−8i0-48-404-848i−8i−4i4i−4i4i-42-422004-24-2-200000−4i4i2i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88i−8i0-4-48044-8−4i4i−4i4i8i−8i2-4-42200-244-2-2000002i−2i−4i4i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222−1−3i3−1+3i300-2-2-21+3i31−3i3000002i−2i2i−2i2i−2i−2ζ14+4ζ224ζ14−2ζ222ζ14−4ζ22−4ζ14+2ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88i−8i0-4-4-40444−4i4i−4i4i−4i4i222−1+3i3−1−3i300-2-2-21−3i31+3i3000002i−2i2i−2i2i−2i4ζ14−2ζ22−2ζ14+4ζ22−4ζ14+2ζ222ζ14−4ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-42220044-2-2-2000004i−4i4i−4i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8−8i8i0-48-404-84−8i8i4i−4i4i−4i-42-422004-24-2-2000004i−4i−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8−8i8i0-4-48044-84i−4i4i−4i−8i8i2-4-42200-244-2-200000−2i2i4i−4i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222−1−3i3−1+3i300-2-2-21+3i31−3i300000−2i2i−2i2i−2i2i2ζ14−4ζ22−4ζ14+2ζ22−2ζ14+4ζ224ζ14−2ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8−8i8i0-4-4-404444i−4i4i−4i4i−4i222−1+3i3−1−3i300-2-2-21−3i31+3i300000−2i2i−2i2i−2i2i−4ζ14+2ζ222ζ14−4ζ224ζ14−2ζ22−2ζ14+4ζ22000000000000000000000000000000000000000000000000000000000000000000000000000000000

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