Finite Group Databasebeta

← Group #72342835

Character table — Group #72342835

Order 3072.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size112222233444444444666668888881212121212121212121616161616161616161616161616242432323232323232323232484848484848484848484848484848484848484864646464646464649696969696969696
order12244882244888161616162448836661616448881616161688881212121212122424242416162424484848484848484888883232323232323232323232323232323224242424242424241616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111-1-11-1-11111111111111-1-1-1-11-1-11111ii−i−i11-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iii−i−i
χ6111111111-1-11-1-11111111111111-1-1-1-11-1-11111ii−i−i11-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−i-1-1-1-11111-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii
χ7111111111-1-11-1-11111111111111-1-1-1-11-1-11111−i−iii11-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−iii
χ8111111111-1-11-1-11111111111111-1-1-1-11-1-11111−i−iii11-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii-1-1-1-11111-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i
χ911-11-11111i−i-1i−i11-1-1-11-11111-1-1i−ii−i-1i−i11-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1ii−i−i11-1-1i−ii−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i11-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1011-11-11111i−i-1i−i11-1-1-11-11111-1-1i−ii−i-1i−i11-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ131-1ii−i−i11-1-1i−ii−i11-1-1ii−i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iii-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1111-11-11111i−i-1i−i11-1-1-11-11111-1-1i−ii−i-1i−i11-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1ii−i−i11-1-1i−ii−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i11-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1211-11-11111i−i-1i−i11-1-1-11-11111-1-1i−ii−i-1i−i11-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ131-1ii−i−i11-1-1i−ii−i11-1-1ii−i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ1311-11-11111−ii-1−ii11-1-1-11-11111-1-1−ii−ii-1−ii11-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−i−iii11-1-1−ii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii11-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1411-11-11111−ii-1−ii11-1-1-11-11111-1-1−ii−ii-1−ii11-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ231-1−i−iii11-1-1−ii−ii11-1-1−i−iii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1511-11-11111−ii-1−ii11-1-1-11-11111-1-1−ii−ii-1−ii11-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−i−iii11-1-1−ii−ii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii11-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ1611-11-11111−ii-1−ii11-1-1-11-11111-1-1−ii−ii-1−ii11-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ231-1−i−iii11-1-1−ii−ii11-1-1−i−iiiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−i-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ1722222222222222222222222-1-1-1-1222222222222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122220000000000000000-1-1-1-1-1-1-1-100000000
χ1822222222222222222222222-1-1-1-122222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000000000001111111100000000
χ1922222222222222-2-2-2-2222222222-2-222222-2-2-2-200002222222222-2-222-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ2022222222222222-2-2-2-222222-1-1-1-1-2-222222-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-2-2-1-11111111100000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ2122222222222222-2-2-2-222222-1-1-1-1-2-222222-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-2-2-1-11111111100000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ22222222222-2-22-2-2222222222-1-1-1-1-2-2-2-22-2-222222i2i−2i−2i-1-11111-1-1-1-1-2-211-1-1-1-111112i2i−2i−2i0000000000000000−i−i−i−iiiii00000000
χ23222222222-2-22-2-2222222222-1-1-1-1-2-2-2-22-2-22222−2i−2i2i2i-1-11111-1-1-1-1-2-211-1-1-1-11111−2i−2i2i2i0000000000000000iiii−i−i−i−i00000000
χ24222222222-2-22-2-2-2-2-2-222222222222-2-22-2-2-2-2-2-2000022-2-2-2-2222222-2-2-2-2-2-22222000000000000000000000000000000000000
χ25222222222-2-22-2-2-2-2-2-222222-1-1-1-122-2-22-2-2-2-2-2-20000-1-11111-1-1-1-122111111-1-1-1-1000000000000000000003−33−3−33−3300000000
χ26222222222-2-22-2-2-2-2-2-222222-1-1-1-122-2-22-2-2-2-2-2-20000-1-11111-1-1-1-122111111-1-1-1-100000000000000000000−33−333−33−300000000
χ2722222-2-22222-2-2-20000222-2-222220022-2-2-200000000222222-2-2-2-200-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ2822222-2-22222-2-2-20000222-2-222220022-2-2-200000000222222-2-2-2-200-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ2922222-2-222-2-2-2220000222-2-2222200-2-2-2220000000022-2-2-2-2-2-2-2-20022000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ3022222-2-222-2-2-2220000222-2-2222200-2-2-2220000000022-2-2-2-2-2-2-2-20022000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ3122-22-222222i−2i-22i−2i22-2-2-22-222-1-1112i−2i2i−2i-22i−2i22-2-22ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13-11−i−iii-1-1112i−2i−ii-1-111−i−iii2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ1300000000
χ3222-22-222222i−2i-22i−2i22-2-2-22-222-1-1112i−2i2i−2i-22i−2i22-2-2−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13-11−i−iii-1-1112i−2i−ii-1-111−i−iii−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ1300000000
χ3322-22-222222i−2i-22i−2i-2-222-22-22222-2-2−2i2i2i−2i-22i−2i-2-22200002-22i2i−2i−2i22-2-2−2i2i2i−2i-2-222−2i−2i2i2i000000000000000000000000000000000000
χ3422-22-222222i−2i-22i−2i-2-222-22-222-1-111−2i2i2i−2i-22i−2i-2-2220000-11−i−iii-1-111−2i2i−ii11-1-1ii−i−i00000000000000000000−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ1300000000
χ3522-22-222222i−2i-22i−2i-2-222-22-222-1-111−2i2i2i−2i-22i−2i-2-2220000-11−i−iii-1-111−2i2i−ii11-1-1ii−i−i00000000000000000000ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ1300000000
χ3622-22-22222−2i2i-2−2i2i22-2-2-22-222-1-111−2i2i−2i2i-2−2i2i22-2-2−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23-11ii−i−i-1-111−2i2ii−i-1-111ii−i−i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ2300000000
χ3722-22-22222−2i2i-2−2i2i22-2-2-22-222-1-111−2i2i−2i2i-2−2i2i22-2-22ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23-11ii−i−i-1-111−2i2ii−i-1-111ii−i−i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ2300000000
χ3822-22-22222−2i2i-2−2i2i-2-222-22-22222-2-22i−2i−2i2i-2−2i2i-2-22200002-2−2i−2i2i2i22-2-22i−2i−2i2i-2-2222i2i−2i−2i000000000000000000000000000000000000
χ3922-22-22222−2i2i-2−2i2i-2-222-22-222-1-1112i−2i−2i2i-2−2i2i-2-2220000-11ii−i−i-1-1112i−2ii−i11-1-1−i−iii00000000000000000000ζ5−ζ13−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−ζ7+ζ23ζ7−ζ2300000000
χ4022-22-22222−2i2i-2−2i2i-2-222-22-222-1-1112i−2i−2i2i-2−2i2i-2-2220000-11ii−i−i-1-1112i−2ii−i11-1-1−i−iii00000000000000000000−ζ5+ζ13ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ7−ζ23−ζ7+ζ2300000000
χ4122-22-2-2-2222i−2i2−2i2i0000-22-2-2-222-2-2002i−2i2−2i2i000000002-22i2i−2i−2i-2-22200−2i2i000000000000−i2i2i2−i22−2−22−i2i2i2−i22−2−220000000000000000
χ4222-22-2-2-2222i−2i2−2i2i0000-22-2-2-222-2-2002i−2i2−2i2i000000002-22i2i−2i−2i-2-22200−2i2i000000000000i2−i2−i2i2−222−2i2−i2−i2i2−222−20000000000000000
χ4322-22-2-2-222−2i2i22i−2i0000-22-2-2-222-2-200−2i2i22i−2i000000002-2−2i−2i2i2i-2-222002i−2i000000000000−i2i2i2−i2−222−2−i2i2i2−i2−222−20000000000000000
χ4422-22-2-2-222−2i2i22i−2i0000-22-2-2-222-2-200−2i2i22i−2i000000002-2−2i−2i2i2i-2-222002i−2i000000000000i2−i2−i2i22−2−22i2−i2−i2i22−2−220000000000000000
χ453333333-1-1333333333-1-1-1-1-1000033-1-1-1-1-1-1-1-1-133330000000000-1-10000000000-1-1-1-111111111-1-1-1-1-1-1-1-1000000001111-1-1-1-1
χ463333333-1-1333333333-1-1-1-1-1000033-1-1-1-1-1-1-1-1-133330000000000-1-10000000000-1-1-1-1-1-1-1-1-1-1-1-11111111100000000-1-1-1-11111
χ473333333-1-1333333333-1-1-1-1-1000033-1-1-1-1-1-1-1-1-1-3-3-3-30000000000-1-10000000000111111111111-1-1-1-1-1-1-1-100000000-1-1-1-11111
χ483333333-1-1333333333-1-1-1-1-1000033-1-1-1-1-1-1-1-1-1-3-3-3-30000000000-1-100000000001111-1-1-1-1-1-1-1-111111111000000001111-1-1-1-1
χ493333333-1-1-3-33-3-33333-1-1-1-1-10000-3-311-111-1-1-1-13i3i−3i−3i0000000000110000000000−i−iii1111-1-1-1-1-1-1-1-1111100000000ii−i−i−i−iii
χ503333333-1-1-3-33-3-33333-1-1-1-1-10000-3-311-111-1-1-1-13i3i−3i−3i0000000000110000000000−i−iii-1-1-1-111111111-1-1-1-100000000−i−iiiii−i−i
χ513333333-1-1-3-33-3-33333-1-1-1-1-10000-3-311-111-1-1-1-1−3i−3i3i3i0000000000110000000000ii−i−i1111-1-1-1-1-1-1-1-1111100000000−i−iiiii−i−i
χ523333333-1-1-3-33-3-33333-1-1-1-1-10000-3-311-111-1-1-1-1−3i−3i3i3i0000000000110000000000ii−i−i-1-1-1-111111111-1-1-1-100000000ii−i−i−i−iii
χ5333-33-333-1-13i−3i-33i−3i33-3-31-11-1-100003i−3i−ii1−ii-1-1113ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ130000000000−ii0000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ1311-1-1ii−i−i-1-111−i−iii00000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ5433-33-333-1-13i−3i-33i−3i33-3-31-11-1-100003i−3i−ii1−ii-1-1113ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ130000000000−ii0000000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13-1-111−i−iii11-1-1ii−i−i00000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ5533-33-333-1-13i−3i-33i−3i33-3-31-11-1-100003i−3i−ii1−ii-1-111−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ130000000000−ii0000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-1-1ii−i−i-1-111−i−iii00000000−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ5633-33-333-1-13i−3i-33i−3i33-3-31-11-1-100003i−3i−ii1−ii-1-111−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ130000000000−ii0000000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13-1-111−i−iii11-1-1ii−i−i00000000ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ5733-33-333-1-1−3i3i-3−3i3i33-3-31-11-1-10000−3i3ii−i1i−i-1-111−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ230000000000i−i0000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ2311-1-1−i−iii-1-111ii−i−i00000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ5833-33-333-1-1−3i3i-3−3i3i33-3-31-11-1-10000−3i3ii−i1i−i-1-111−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ230000000000i−i0000000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23-1-111ii−i−i11-1-1−i−iii00000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ5933-33-333-1-1−3i3i-3−3i3i33-3-31-11-1-10000−3i3ii−i1i−i-1-1113ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ230000000000i−i0000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ2311-1-1−i−iii-1-111ii−i−i00000000ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ6033-33-333-1-1−3i3i-3−3i3i33-3-31-11-1-10000−3i3ii−i1i−i-1-1113ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ230000000000i−i0000000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23-1-111ii−i−i11-1-1−i−iii00000000−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
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χ6244444-4-444-4-4-4440000444-4-4-2-2-2-200-4-4-44400000000-2-22222222200-2-200000000000000000000000000000000000000000000
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χ9924-24000−12i212i2-880000000000004i2−4i200000000000000000000000000000000000000000000000000000000000000000000000000000
χ10024-2400012i2−12i2-88000000000000−4i24i200000000000000000000000000000000000000000000000000000000000000000000000000000

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