Finite Group Databasebeta

← Group #10712001

Character table — Group #10712001

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1111222222222244444444444444444444444444444444444444444488888888888888888888888824242424484848484848
order12442346661212121222244444448888888812121212121212122424242424242424242424242424242424666668888121212121224242424242424248888444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-11111-1-1-1-11111-1-111-1-1
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111-1-111-1-1111-1-11111-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ911-1-111-1111-1-1-1-111-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-111i−ii−i1-1-1-1-1ii−i−iii−i−iii−i−ii−i1-11-1
χ1011-1-111-1111-1-1-1-111-11-1-111-1-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-111-111i−ii−i1-1-1-1-1ii−i−iii−i−i−i−iii−ii-11-11
χ1111-1-111-1111-1-1-1-111-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-111−ii−ii1-1-1-1-1−i−iii−i−iiiii−i−ii−i-11-11
χ1211-1-111-1111-1-1-1-111-11-1-111-1-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-111-111−ii−ii1-1-1-1-1−i−iii−i−iii−i−iii−ii1-11-1
χ1311-1-111-1111-1-1-1-111-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1111-1-1-1i−i−ii1-1-111ii−i−i−i−iiiii−i−i−ii1-1-11
χ1411-1-111-1111-1-1-1-111-11-1-1-1-111ii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1111-1-1-1i−i−ii1-1-111ii−i−i−i−iii−i−iiii−i-111-1
χ1511-1-111-1111-1-1-1-111-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-1−iii−i1-1-111−i−iiiii−i−iii−i−i−ii-111-1
χ1611-1-111-1111-1-1-1-111-11-1-1-1-111−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1111-1-1-1−iii−i1-1-111−i−iiiii−i−i−i−iiii−i1-1-11
χ17222222222222222-2-2-22-2000000002222000000000000000022222222002-2-20000-2-2-22-2000000-2-2-2-20000000000
χ18222222222222222-2-2-22-200000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-2002-2-2000022-22-200000022220000000000
χ1922222222222222-22-2-2-2200002222000000000000222222220000000000-22-200-2-200-2-2200-2-2-2-200000000000000
χ2022222222222222-22-2-2-220000-2-2-2-2000000000000-2-2-2-2-2-2-2-20000000000-22-2002200-2-2200222200000000000000
χ2122222222222222-2-222-2-2222200000000222222220000000000000000-2-2-2-22-2-200002-2-2-2-2000000000000000000
χ2222222222222222-2-222-2-2-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-222200002-2-222000000000000000000
χ2322222-12-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ2422222-12-1-1-1-1-1-1-12222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122-1-1-1-1-1-2-2-2-2-1-1-1-1-1111111110000000000
χ2522222-12-1-1-1-1-1-1-1222222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-1-1-11122-2-2-1-1-111-1-1-1-111110000000000
χ2622222-12-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-1-1-111-2-222-1-1-1111111-1-1-1-10000000000
χ2722222-12-1-1-1-1-1-1-12-2-2-22-2000000002222−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-100-111−i3i300-2-21-11−i3i3−i3i3−i3i311110000000000
χ2822222-12-1-1-1-1-1-1-12-2-2-22-2000000002222i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-100-111i3−i300-2-21-11i3−i3i3−i3i3−i311110000000000
χ2922222-12-1-1-1-1-1-1-12-2-2-22-200000000-2-2-2-2−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i31111111100-111−i3i300221-11−i3i3i3−i3i3−i3-1-1-1-10000000000
χ3022222-12-1-1-1-1-1-1-12-2-2-22-200000000-2-2-2-2i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i31111111100-111i3−i300221-11i3−i3−i3i3−i3i3-1-1-1-10000000000
χ3122222-12-1-1-1-1-1-1-1-22-2-2-22000022220000−i3−i3i3i3−i3−i3i3i3-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3001-11i3−i3-2-20011-1i3−i31111−i3i3−i3i30000000000
χ3222222-12-1-1-1-1-1-1-1-22-2-2-22000022220000i3i3−i3−i3i3i3−i3−i3-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3001-11−i3i3-2-20011-1−i3i31111i3−i3i3−i30000000000
χ3322222-12-1-1-1-1-1-1-1-22-2-2-220000-2-2-2-20000−i3−i3i3i3−i3−i3i3i311111111i3i3−i3−i3i3i3−i3−i3001-11i3−i3220011-1i3−i3-1-1-1-1i3−i3i3−i30000000000
χ3422222-12-1-1-1-1-1-1-1-22-2-2-220000-2-2-2-20000i3i3−i3−i3i3i3−i3−i311111111−i3−i3i3i3−i3−i3i3i3001-11−i3i3220011-1−i3i3-1-1-1-1−i3i3−i3i30000000000
χ3522222-12-1-1-1-1-1-1-1-2-222-2-2222200000000-1-1-1-1-1-1-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-211-1110000-11111i3−i3i3−i3i3−i3i3−i30000000000
χ3622222-12-1-1-1-1-1-1-1-2-222-2-2222200000000-1-1-1-1-1-1-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-211-1110000-11111−i3i3−i3i3−i3i3−i3i30000000000
χ3722222-12-1-1-1-1-1-1-1-2-222-2-2-2-2-2-20000000011111111−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32211-1-1-10000-111-1-1i3−i3i3−i3−i3i3−i3i30000000000
χ3822222-12-1-1-1-1-1-1-1-2-222-2-2-2-2-2-20000000011111111i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32211-1-1-10000-111-1-1−i3i3−i3i3i3−i3i3−i30000000000
χ3922-2-222-2222-2-2-2-22-22-2-22000000002i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i002-220000−2i2i-2-22000000−2i−2i2i2i0000000000
χ4022-2-222-2222-2-2-2-22-22-2-2200000000−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i002-2200002i−2i-2-220000002i2i−2i−2i0000000000
χ4122-2-222-2222-2-2-2-2-222-22-200002i2i−2i−2i0000000000002i2i2i2i−2i−2i−2i−2i0000000000-22200−2i2i00-22-200−2i−2i2i2i00000000000000
χ4222-2-222-2222-2-2-2-2-222-22-20000−2i−2i2i2i000000000000−2i−2i−2i−2i2i2i2i2i0000000000-222002i−2i00-22-2002i2i−2i−2i00000000000000
χ4322-2-222-2222-2-2-2-2-2-2-222222-2-2000000002222-2-2-2-20000000000000000-22-2-2-2-2-2000022222000000000000000000
χ4422-2-222-2222-2-2-2-2-2-2-2222-2-22200000000-2-2-2-2222200000000000000002-2-2-2-2220000222-2-2000000000000000000
χ4522-2-22-1-2-1-1-1111122-22-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii2-2-1-11-1-12i−2i2i−2i-11111−i−iii−i−iii0000000000
χ4622-2-22-1-2-1-1-1111122-22-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i2-2-1-11-1-1−2i2i−2i2i-11111ii−i−iii−i−i0000000000
χ4722-2-22-1-2-1-1-1111122-22-2-2-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-22-1-11112i−2i−2i2i-111-1-1−i−iiiii−i−i0000000000
χ4822-2-22-1-2-1-1-1111122-22-2-2-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-22-1-1111−2i2i2i−2i-111-1-1ii−i−i−i−iii0000000000
χ4922-2-22-1-2-1-1-111112-22-2-22000000002i2i−2i−2i−i3−i3i3i3i3i3−i3−i333−3−3−3−333−i−i−i−iiiii00-11-1−i3i300−2i2i11-1i3−i33−3−33ii−i−i0000000000
χ5022-2-22-1-2-1-1-111112-22-2-22000000002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−3−33333−3−3−i−i−i−iiiii00-11-1i3−i300−2i2i11-1−i3i3−333−3ii−i−i0000000000
χ5122-2-22-1-2-1-1-111112-22-2-2200000000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3−3−33333−3−3iiii−i−i−i−i00-11-1−i3i3002i−2i11-1i3−i3−333−3−i−iii0000000000
χ5222-2-22-1-2-1-1-111112-22-2-2200000000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i333−3−3−3−333iiii−i−i−i−i00-11-1i3−i3002i−2i11-1−i3i33−3−33−i−iii0000000000
χ5322-2-22-1-2-1-1-11111-222-22-200002i2i−2i−2i0000−i3−i3i3i3i3i3−i3−i3−i−i−i−iiiii33−3−3−3−333001-1-1i3−i3−2i2i001-11−i3i3ii−i−i3−3−330000000000
χ5422-2-22-1-2-1-1-11111-222-22-200002i2i−2i−2i0000i3i3−i3−i3−i3−i3i3i3−i−i−i−iiiii−3−33333−3−3001-1-1−i3i3−2i2i001-11i3−i3ii−i−i−333−30000000000
χ5522-2-22-1-2-1-1-11111-222-22-20000−2i−2i2i2i0000−i3−i3i3i3i3i3−i3−i3iiii−i−i−i−i−3−33333−3−3001-1-1i3−i32i−2i001-11−i3i3−i−iii−333−30000000000
χ5622-2-22-1-2-1-1-11111-222-22-20000−2i−2i2i2i0000i3i3−i3−i3−i3−i3i3i3iiii−i−i−i−i33−3−3−3−333001-1-1−i3i32i−2i001-11i3−i3−i−iii3−3−330000000000
χ5722-2-22-1-2-1-1-11111-2-2-222222-2-200000000-1-1-1-1111133−3−3−3−33333−3−3−3−333-22111110000-1-1-1-1-1−333−3−333−30000000000
χ5822-2-22-1-2-1-1-11111-2-2-222222-2-200000000-1-1-1-11111−3−33333−3−3−3−33333−3−3-22111110000-1-1-1-1-13−3−333−3−330000000000
χ5922-2-22-1-2-1-1-11111-2-2-2222-2-222000000001111-1-1-1-133−3−3−3−333−3−33333−3−32-2111-1-10000-1-1-111−333−33−3−330000000000
χ6022-2-22-1-2-1-1-11111-2-2-2222-2-222000000001111-1-1-1-1−3−33333−3−333−3−3−3−3332-2111-1-10000-1-1-1113−3−33−333−30000000000
χ614444-44-4-4-4444-4-40000000000000000000000000000000000000000000000000000000000000000002-22-2000000
χ624444-44-4-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000-22-22000000
χ6344-4-4-444-4-44-4-4440000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i000000
χ6444-4-4-444-4-44-4-444000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i000000
χ654-44i−4i04000-44i−4i000000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132-22-22i−2i2i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ664-44i−4i04000-44i−4i000000002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132-22-22i−2i2i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ674-44i−4i04000-44i−4i00000000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-22-22−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ684-44i−4i04000-44i−4i00000000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-22-22−2i2i−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ694-44i−4i0-20−2i32i32−2i2i23−230000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1−i31+i3−1+i31−i32ζ22−2ζ222ζ14−2ζ14−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ50000000000000000000000000000000000
χ704-44i−4i0-20−2i32i32−2i2i23−230000002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1−i31+i3−1+i31−i32ζ22−2ζ222ζ14−2ζ142ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ50000000000000000000000000000000000
χ714-44i−4i0-20−2i32i32−2i2i23−23000000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131+i3−1−i31−i3−1+i3−2ζ222ζ22−2ζ142ζ14−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ52ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ50000000000000000000000000000000000
χ724-44i−4i0-20−2i32i32−2i2i23−23000000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131+i3−1−i31−i3−1+i3−2ζ222ζ22−2ζ142ζ142ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ5−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ50000000000000000000000000000000000
χ734-44i−4i0-202i3−2i32−2i2i−23230000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−1+i31−i3−1−i31+i32ζ14−2ζ142ζ22−2ζ22−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ130000000000000000000000000000000000
χ744-44i−4i0-202i3−2i32−2i2i−23230000002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−1+i31−i3−1−i31+i32ζ14−2ζ142ζ22−2ζ222ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ130000000000000000000000000000000000
χ754-44i−4i0-202i3−2i32−2i2i−2323000000-22−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ131−i3−1+i31+i3−1−i3−2ζ142ζ14−2ζ222ζ22−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ130000000000000000000000000000000000
χ764-44i−4i0-202i3−2i32−2i2i−2323000000-22−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ131−i3−1+i31+i3−1−i3−2ζ142ζ14−2ζ222ζ222ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ130000000000000000000000000000000000
χ774-4−4i4i04000-4−4i4i000000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232-22-2−2i2i−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ784-4−4i4i04000-4−4i4i000000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232-22-2−2i2i−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ794-4−4i4i04000-4−4i4i00000000-222i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-22-222i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ804-4−4i4i04000-4−4i4i00000000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-22-222i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ814-4−4i4i0-20−2i32i322i−2i−23230000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1−i31+i3−1+i31−i3−2ζ222ζ22−2ζ142ζ142ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ230000000000000000000000000000000000
χ824-4−4i4i0-20−2i32i322i−2i−23230000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1−i31+i3−1+i31−i3−2ζ222ζ22−2ζ142ζ14−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ230000000000000000000000000000000000
χ834-4−4i4i0-20−2i32i322i−2i−2323000000-222i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231+i3−1−i31−i3−1+i32ζ22−2ζ222ζ14−2ζ142ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ23−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ230000000000000000000000000000000000
χ844-4−4i4i0-20−2i32i322i−2i−2323000000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231+i3−1−i31−i3−1+i32ζ22−2ζ222ζ14−2ζ14−2ζ132ζ13−2ζ52ζ52ζ7−2ζ72ζ23−2ζ232ζ13−2ζ132ζ5−2ζ5−2ζ72ζ7−2ζ232ζ230000000000000000000000000000000000
χ854-4−4i4i0-202i3−2i322i−2i23−230000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ222ζ222ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ72ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ70000000000000000000000000000000000
χ864-4−4i4i0-202i3−2i322i−2i23−230000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−1+i31−i3−1−i31+i3−2ζ142ζ14−2ζ222ζ22−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ7−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ70000000000000000000000000000000000
χ874-4−4i4i0-202i3−2i322i−2i23−23000000-222i−2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ231−i3−1+i31+i3−1−i32ζ14−2ζ142ζ22−2ζ222ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ7−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ70000000000000000000000000000000000
χ884-4−4i4i0-202i3−2i322i−2i23−23000000-222i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ231−i3−1+i31+i3−1−i32ζ14−2ζ142ζ22−2ζ22−2ζ52ζ5−2ζ132ζ132ζ23−2ζ232ζ7−2ζ72ζ5−2ζ52ζ13−2ζ13−2ζ232ζ23−2ζ72ζ70000000000000000000000000000000000
χ898888-8-4-844-4-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-8-8-4844-444-4-40000000000000000000000000000000000000000000000000000000000000000000000000000

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