Finite Group Databasebeta

← Group #11777863

Character table — Group #11777863

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111111112222444444444444444488888888181818181818181818181818181818181818181818181818242424242424242424242424242424242424242424242424
order12224444888833666666121212121212121224242424242424244444888888888888888888884444888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ511111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ711111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ101111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ111111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ121111-1-1-1-1ii−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ131111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ141111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ151111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ161111-1-1-1-1−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ17222222222222222222222222222222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ1822222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ192222-2-2-2-22i2i−2i−2i22222222-2-2-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i-2-222−2i−2i2i2i0000000000000000000000000000000000000000
χ202222-2-2-2-2−2i−2i2i2i22222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i-2-2222i2i−2i−2i0000000000000000000000000000000000000000
χ2122-2-222-2-200002222-2-2-2-22222-2-2-2-20000000000002-22-222−2−222−2−222−2−222−2−2000000000000000000000000
χ2222-2-222-2-200002222-2-2-2-22222-2-2-2-20000000000002-22-2−2−222−2−222−2−222−2−222000000000000000000000000
χ2322-2-222-2-200002222-2-2-2-22222-2-2-2-2000000000000-22-2222−2−222−2−2−2−222−2−222000000000000000000000000
χ2422-2-222-2-200002222-2-2-2-22222-2-2-2-2000000000000-22-22−2−222−2−22222−2−222−2−2000000000000000000000000
χ2522-2-2-2-22200002222-2-2-2-2-2-2-2-222220000000000002i−2i−2i2i22−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ2622-2-2-2-22200002222-2-2-2-2-2-2-2-222220000000000002i−2i−2i2i−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2722-2-2-2-22200002222-2-2-2-2-2-2-2-22222000000000000−2i2i2i−2i22−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ2822-2-2-2-22200002222-2-2-2-2-2-2-2-22222000000000000−2i2i2i−2i−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ292-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i0000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000000000
χ302-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000000000
χ312-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i2i00002i−2i2i−2i2-22-200000000000000000000000000000000
χ322-22-22i−2i2i−2i000022-2-222-2-22i2i−2i−2i2i2i−2i−2i00000000-22−2i2i0000−2i2i−2i2i-22-2200000000000000000000000000000000
χ332-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000000000
χ342-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i0000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000000000
χ352-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i−2i00002i−2i2i−2i-22-2200000000000000000000000000000000
χ362-22-2−2i2i−2i2i000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i00000000-222i−2i0000−2i2i−2i2i2-22-200000000000000000000000000000000
χ372-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000−i2i2i2−i2−222−21+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000000000000000
χ382-2-222i−2i−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2322-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ2300000000i2−i2−i2i22−2−22−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000000000000000
χ392-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322-2-2-2-2222i2i−2i−2i−2i−2i2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000−i2i2i2−i2−222−2−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000000000000000000000
χ402-2-222i−2i−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2322-2-2-2-2222i2i−2i−2i−2i−2i2i2i2ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ2300000000i2−i2−i2i22−2−221+i−1−i−1−i1+i1−i−1+i−1+i1−i000000000000000000000000
χ412-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-2-2-2-222−2i−2i2i2i2i2i−2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000−i2i2i2−i22−2−22−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000000000000000
χ422-2-22−2i2i2i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1322-2-2-2-222−2i−2i2i2i2i2i−2i−2i2ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ1300000000i2−i2−i2i2−222−21−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000000000000000
χ432-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000−i2i2i2−i22−2−221−i−1+i−1+i1−i1+i−1−i−1−i1+i000000000000000000000000
χ442-2-22−2i2i2i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1322-2-2-2-222−2i−2i2i2i2i2i−2i−2i−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ1300000000i2−i2−i2i2−222−2−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000000000000000000000
χ454444444444441-21-21-21-21-21-21-21-21-21-21-21-2000000000000000000000000002200220000-1-1-1-10000-1-1-1-1
χ464444444444441-21-21-21-21-21-21-21-21-21-21-21-200000000000000000000000000-2-200-2-20000111100001111
χ47444444444444-21-21-21-21-21-21-21-21-21-21-21-2100000000000000000000000022002200-1-1-1-10000-1-1-1-10000
χ48444444444444-21-21-21-21-21-21-21-21-21-21-21-21000000000000000000000000-2-200-2-2001111000011110000
χ4944444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-12000000000000000000000000002200-2-20000-1-1-1-100001111
χ5044444444-4-4-4-41-21-21-21-21-21-21-21-2-12-12-12-1200000000000000000000000000-2-20022000011110000-1-1-1-1
χ5144444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-10000000000000000000000002200-2-200-1-1-1-1000011110000
χ5244444444-4-4-4-4-21-21-21-21-21-21-21-212-12-12-12-1000000000000000000000000-2-200220011110000-1-1-1-10000
χ534444-4-4-4-44i4i−4i−4i1-21-21-21-2-12-12-12-12i−2ii−2i−i2i−i2i000000000000000000000000002-2002i−2i0000-1-1110000−i−iii
χ544444-4-4-4-44i4i−4i−4i1-21-21-21-2-12-12-12-12i−2ii−2i−i2i−i2i00000000000000000000000000-2200−2i2i000011-1-10000ii−i−i
χ554444-4-4-4-44i4i−4i−4i-21-21-21-212-12-12-12-1−2ii−2ii2i−i2i−i0000000000000000000000002-2002i−2i00-1-1110000−i−iii0000
χ564444-4-4-4-44i4i−4i−4i-21-21-21-212-12-12-12-1−2ii−2ii2i−i2i−i000000000000000000000000-2200−2i2i0011-1-10000ii−i−i0000
χ574444-4-4-4-4−4i−4i4i4i1-21-21-21-2-12-12-12-12−i2i−i2ii−2ii−2i000000000000000000000000002-200−2i2i0000-1-1110000ii−i−i
χ584444-4-4-4-4−4i−4i4i4i1-21-21-21-2-12-12-12-12−i2i−i2ii−2ii−2i00000000000000000000000000-22002i−2i000011-1-10000−i−iii
χ594444-4-4-4-4−4i−4i4i4i-21-21-21-212-12-12-12-12i−i2i−i−2ii−2ii0000000000000000000000002-200−2i2i00-1-1110000ii−i−i0000
χ604444-4-4-4-4−4i−4i4i4i-21-21-21-212-12-12-12-12i−i2i−i−2ii−2ii000000000000000000000000-22002i−2i0011-1-10000−i−iii0000
χ614-4-444i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231-2-12-121-2i−2i−i2i−i2ii−2i−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ13ζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ23000000000000000000000000000000000000−i3i33−30000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ624-4-444i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ231-2-12-121-2i−2i−i2i−i2ii−2i−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ13ζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ23000000000000000000000000000000000000i3−i3−330000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ634-4-444i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-212-12-1-21−2ii2i−i2i−i−2ii2ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ13−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ23000000000000000000000000000000003−3−i3i30000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ644-4-444i−4i−4i4i−4ζ5−4ζ134ζ5+4ζ134ζ7+4ζ23−4ζ7−4ζ23-212-12-1-21−2ii2i−i2i−i−2ii2ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ13−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ2300000000000000000000000000000000−33i3−i30000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ654-4-444i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231-2-12-121-2i−2i−i2i−i2ii−2iζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ13−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ23000000000000000000000000000000000000−i3i33−30000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23
χ664-4-444i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ231-2-12-121-2i−2i−i2i−i2ii−2iζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ13−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ23000000000000000000000000000000000000i3−i3−330000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23
χ674-4-444i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-212-12-1-21−2ii2i−i2i−i−2ii−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ132ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ23000000000000000000000000000000003−3−i3i30000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ684-4-444i−4i−4i4i4ζ5+4ζ13−4ζ5−4ζ13−4ζ7−4ζ234ζ7+4ζ23-212-12-1-21−2ii2i−i2i−i−2ii−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ132ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ2300000000000000000000000000000000−33i3−i30000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ694-4-44−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ131-2-12-121-2−i2ii−2ii−2i−i2iζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ23−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ13000000000000000000000000000000000000−i3i3−330000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ704-4-44−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ131-2-12-121-2−i2ii−2ii−2i−i2iζ7+ζ23−2ζ7−2ζ23−ζ7−ζ232ζ7+2ζ23−ζ5−ζ132ζ5+2ζ13ζ5+ζ13−2ζ5−2ζ13000000000000000000000000000000000000i3−i33−30000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ714-4-44−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-212-12-1-212i−i−2ii−2ii2i−i−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ232ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ13000000000000000000000000000000003−3i3−i30000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ724-4-44−4i4i4i−4i4ζ7+4ζ23−4ζ7−4ζ23−4ζ5−4ζ134ζ5+4ζ13-212-12-1-212i−i−2ii−2ii2i−i−2ζ7−2ζ23ζ7+ζ232ζ7+2ζ23−ζ7−ζ232ζ5+2ζ13−ζ5−ζ13−2ζ5−2ζ13ζ5+ζ1300000000000000000000000000000000−33−i3i30000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ734-4-44−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131-2-12-121-2−i2ii−2ii−2i−i2i−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ23ζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ13000000000000000000000000000000000000−i3i3−330000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
χ744-4-44−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ131-2-12-121-2−i2ii−2ii−2i−i2i−ζ7−ζ232ζ7+2ζ23ζ7+ζ23−2ζ7−2ζ23ζ5+ζ13−2ζ5−2ζ13−ζ5−ζ132ζ5+2ζ13000000000000000000000000000000000000i3−i33−30000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13
χ754-4-44−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-212-12-1-212i−i−2ii−2ii2i−i2ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ23−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ13000000000000000000000000000000003−3i3−i30000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ764-4-44−4i4i4i−4i−4ζ7−4ζ234ζ7+4ζ234ζ5+4ζ13−4ζ5−4ζ13-212-12-1-212i−i−2ii−2ii2i−i2ζ7+2ζ23−ζ7−ζ23−2ζ7−2ζ23ζ7+ζ23−2ζ5−2ζ13ζ5+ζ132ζ5+2ζ13−ζ5−ζ1300000000000000000000000000000000−33−i3i30000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ7788-8-888-8-800002-42-4-24-242-42-4-24-2400000000000000000000000000000000000000000000000000000000
χ7888-8-888-8-80000-42-424-24-2-42-424-24-200000000000000000000000000000000000000000000000000000000
χ7988-8-8-8-88800002-42-4-24-24-24-242-42-400000000000000000000000000000000000000000000000000000000
χ8088-8-8-8-8880000-42-424-24-24-24-2-42-4200000000000000000000000000000000000000000000000000000000
χ818-88-88i−8i8i−8i00002-4-242-4-242i−4i−2i4i2i−4i−2i4i00000000000000000000000000000000000000000000000000000000
χ828-88-88i−8i8i−8i0000-424-2-424-2−4i2i4i−2i−4i2i4i−2i00000000000000000000000000000000000000000000000000000000
χ838-88-8−8i8i−8i8i00002-4-242-4-24−2i4i2i−4i−2i4i2i−4i00000000000000000000000000000000000000000000000000000000
χ848-88-8−8i8i−8i8i0000-424-2-424-24i−2i−4i2i4i−2i−4i2i00000000000000000000000000000000000000000000000000000000

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