Finite Group Databasebeta

← Group #11771414

Character table — Group #11771414

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444444444444444444444444444444444444444444444444444444444444443636363672727272727272727272
order1244242223344466666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212128888881616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii
χ51111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ61111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ81111111-1-1111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-11-111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13
χ1011-1-11-111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13
χ1111-1-11-111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23
χ1211-1-11-111111-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23
χ1311-1-11-11-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ1411-1-11-11-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ1511-1-11-11-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ1611-1-11-11-1-111-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ17222222-20022-2002222-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-200000000000000002-22-20000000000
χ18222222-20022-2002222-2-2-2-2-2-2-2-200000000000000002222222222-2-2-2-2-2-2-2-20000000000000000-22-220000000000
χ1922-2-22-2-200222002222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-22222222200000000000000002i−2i−2i2i0000000000
χ2022-2-22-2-200222002222-2-2-2-2-2-2-2-2000000000000000022-2-2-2-2-2-2-2-2222222220000000000000000−2i2i2i−2i0000000000
χ214444444441-244411-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-21-21111-2-2-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-200000000000000
χ22444444444-21444-2-211-2-2-2-21111-2-2-2-2-2-2-2-211111111-21-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-21111111100000000000000
χ234444444-4-41-24-4-411-2-21111-2-2-2-2-1-1-1-1-1-1-1-1222222221-21111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-12222222200000000000000
χ244444444-4-4-214-4-4-2-211-2-2-2-2111122222222-1-1-1-1-1-1-1-1-21-2-2-2-21111-2-2-2-2111122222222-1-1-1-1-1-1-1-100000000000000
χ25444444-4001-2-40011-2-2-1-1-1-122223333-3-3-3-3000000001-21111-2-2-2-2-1-1-1-122223333-3-3-3-30000000000000000000000
χ26444444-4001-2-40011-2-2-1-1-1-12222-3-3-3-33333000000001-21111-2-2-2-2-1-1-1-12222-3-3-3-333330000000000000000000000
χ27444444-400-21-400-2-2112222-1-1-1-1000000003333-3-3-3-3-21-2-2-2-211112222-1-1-1-1000000003333-3-3-3-300000000000000
χ28444444-400-21-400-2-2112222-1-1-1-100000000-3-3-3-33333-21-2-2-2-211112222-1-1-1-100000000-3-3-3-3333300000000000000
χ294444-4-40001-2000-1-12233-3-30000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i31-211-1-122-2-233-3-30000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i300000000000000
χ304444-4-40001-2000-1-12233-3-30000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i31-211-1-122-2-233-3-30000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i300000000000000
χ314444-4-40001-2000-1-122-3-3330000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i300001-211-1-122-2-2-3-3330000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i3000000000000000000
χ324444-4-40001-2000-1-122-3-3330000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i300001-211-1-122-2-2-3-3330000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i3000000000000000000
χ334444-4-400044000-4-4-4-40000000000000000000000004444-4-4-4-44400000000000000000000000000000000000000
χ344444-4-4000-2100022-1-1000033-3-30000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i3-21-2-222-1-111000033-3-30000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i300000000000000
χ354444-4-4000-2100022-1-1000033-3-300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i3-21-2-222-1-111000033-3-300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i300000000000000
χ364444-4-4000-2100022-1-10000-3-333−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3-21-2-222-1-1110000-3-333−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i300000000000000
χ374444-4-4000-2100022-1-10000-3-3332i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3-21-2-222-1-1110000-3-3332i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000
χ3844-4-44-44441-2-4-4-411-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-21-2-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12222222200000000000000
χ3944-4-44-4444-21-4-4-4-2-211-2-2-2-21111-2-2-2-2-2-2-2-211111111-212222-1-1-1-12222-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000
χ4044-4-44-44-4-41-2-44411-2-21111-2-2-2-2-1-1-1-1-1-1-1-1222222221-2-1-1-1-12222-1-1-1-1222211111111-2-2-2-2-2-2-2-200000000000000
χ4144-4-44-44-4-4-21-444-2-211-2-2-2-2111122222222-1-1-1-1-1-1-1-1-212222-1-1-1-12222-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000
χ4244-4-44-4-4001-240011-2-2-1-1-1-122223333-3-3-3-3000000001-2-1-1-1-122221111-2-2-2-2-3-3-3-333330000000000000000000000
χ4344-4-44-4-4001-240011-2-2-1-1-1-12222-3-3-3-33333000000001-2-1-1-1-122221111-2-2-2-23333-3-3-3-30000000000000000000000
χ4444-4-44-4-400-21400-2-2112222-1-1-1-1000000003333-3-3-3-3-212222-1-1-1-1-2-2-2-2111100000000-3-3-3-3333300000000000000
χ4544-4-44-4-400-21400-2-2112222-1-1-1-100000000-3-3-3-33333-212222-1-1-1-1-2-2-2-21111000000003333-3-3-3-300000000000000
χ4644-4-4-440001-2000-1-12233-3-30000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i31-2-1-111-2-222-3-3330000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i300000000000000
χ4744-4-4-440001-2000-1-12233-3-30000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i31-2-1-111-2-222-3-3330000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i300000000000000
χ4844-4-4-440001-2000-1-122-3-3330000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i300001-2-1-111-2-22233-3-30000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i3000000000000000000
χ4944-4-4-440001-2000-1-122-3-3330000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i300001-2-1-111-2-22233-3-30000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i3000000000000000000
χ5044-4-4-4400044000-4-4-4-400000000000000000000000044-4-44444-4-400000000000000000000000000000000000000
χ5144-4-4-44000-2100022-1-1000033-3-30000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i3-2122-2-211-1-10000-3-33300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i300000000000000
χ5244-4-4-44000-2100022-1-1000033-3-300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i3-2122-2-211-1-10000-3-3330000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i300000000000000
χ5344-4-4-44000-2100022-1-10000-3-333−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3-2122-2-211-1-1000033-3-32i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000
χ5444-4-4-44000-2100022-1-10000-3-3332i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3-2122-2-211-1-1000033-3-3−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i300000000000000
χ554-44i−4i0002-21-202i−2i3-300−i3i3−i3i300−2i32i31-11-12+i3−2−i32−i3−2+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-12i−i3i−3i002i−2i3−33−30023−23i−ii−iζ14+3ζ22−ζ14−3ζ22−3ζ14−ζ223ζ14+ζ222ζ22−2ζ22−2ζ142ζ14−2ζ142ζ142ζ22−2ζ2200000000000000
χ564-44i−4i0002-21-202i−2i3-300i3−i3i3−i3002i3−2i31-11-12−i3−2+i32+i3−2−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-12i−i3i−3i002i−2i−33−3300−2323i−ii−i3ζ14+ζ22−3ζ14−ζ22−ζ14−3ζ22ζ14+3ζ222ζ14−2ζ14−2ζ222ζ22−2ζ222ζ222ζ14−2ζ1400000000000000
χ574-44i−4i0002-21-202i−2i-3300−i3i3i3−i3−2i32i300−2+i32−i3−2−i32+i3-11-111+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3-12i−i−3i3i002i−2i3−3−3323−23003ζ14+ζ22−3ζ14−ζ22ζ14+3ζ22−ζ14−3ζ22i−i−ii2ζ22−2ζ22−2ζ142ζ14−2ζ222ζ222ζ14−2ζ1400000000000000
χ584-44i−4i0002-21-202i−2i-3300i3−i3−i3i32i3−2i300−2−i32+i3−2+i32−i3-11-111−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3-12i−i−3i3i002i−2i−333−3−232300ζ14+3ζ22−ζ14−3ζ223ζ14+ζ22−3ζ14−ζ22i−i−ii2ζ14−2ζ14−2ζ222ζ22−2ζ142ζ142ζ22−2ζ2200000000000000
χ594-44i−4i0002-24402i−2i000000000000-22-222-22-2-22-22-22-22-4-44i−4i0000−4i4i00000000−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000
χ604-44i−4i0002-2-2102i−2i003-300−2i32i3−i3i3i3−i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i31-11-1−2+i32−i3−2−i32+i32-1−2i2i003i−3i−ii0023−233−3−33−2ζ142ζ14−2ζ222ζ22−2ζ142ζ142ζ22−2ζ22−iii−i3ζ14+ζ22−3ζ14−ζ22−ζ14−3ζ22ζ14+3ζ2200000000000000
χ614-44i−4i0002-2-2102i−2i003-3002i3−2i3i3−i3−i3i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i31-11-1−2−i32+i3−2+i32−i32-1−2i2i003i−3i−ii00−2323−333−3−2ζ222ζ22−2ζ142ζ14−2ζ222ζ222ζ14−2ζ14−iii−iζ14+3ζ22−ζ14−3ζ22−3ζ14−ζ223ζ14+ζ2200000000000000
χ624-44i−4i0002-2-2102i−2i00-33−2i32i300i3−i3i3−i31+i3−1−i31−i3−1+i3−1+i31−i3−1−i31+i3−2−i32+i3−2+i32−i31-11-12-1−2i2i00−3i3i−ii23−2300−33−33−2ζ222ζ22−2ζ142ζ14−2ζ142ζ142ζ22−2ζ22−ζ14−3ζ22ζ14+3ζ223ζ14+ζ22−3ζ14−ζ22i−i−ii00000000000000
χ634-44i−4i0002-2-2102i−2i00-332i3−2i300−i3i3−i3i31−i3−1+i31+i3−1−i3−1−i31+i3−1+i31−i3−2+i32−i3−2−i32+i31-11-12-1−2i2i00−3i3i−ii−2323003−33−3−2ζ142ζ14−2ζ222ζ22−2ζ222ζ222ζ14−2ζ14−3ζ14−ζ223ζ14+ζ22ζ14+3ζ22−ζ14−3ζ22i−i−ii00000000000000
χ644-44i−4i000-221-20−2i2i3-300−i3i3−i3i300−2i32i3-11-11−2−i32+i3−2+i32−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3-12i−i3i−3i002i−2i3−33−30023−23−ii−ii−ζ14−3ζ22ζ14+3ζ223ζ14+ζ22−3ζ14−ζ22−2ζ222ζ222ζ14−2ζ142ζ14−2ζ14−2ζ222ζ2200000000000000
χ654-44i−4i000-221-20−2i2i3-300i3−i3i3−i3002i3−2i3-11-11−2+i32−i3−2−i32+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3-12i−i3i−3i002i−2i−33−3300−2323−ii−ii−3ζ14−ζ223ζ14+ζ22ζ14+3ζ22−ζ14−3ζ22−2ζ142ζ142ζ22−2ζ222ζ22−2ζ22−2ζ142ζ1400000000000000
χ664-44i−4i000-221-20−2i2i-3300−i3i3i3−i3−2i32i3002−i3−2+i32+i3−2−i31-11-1−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3-12i−i−3i3i002i−2i3−3−3323−2300−3ζ14−ζ223ζ14+ζ22−ζ14−3ζ22ζ14+3ζ22−iii−i−2ζ222ζ222ζ14−2ζ142ζ22−2ζ22−2ζ142ζ1400000000000000
χ674-44i−4i000-221-20−2i2i-3300i3−i3−i3i32i3−2i3002+i3−2−i32−i3−2+i31-11-1−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3-12i−i−3i3i002i−2i−333−3−232300−ζ14−3ζ22ζ14+3ζ22−3ζ14−ζ223ζ14+ζ22−iii−i−2ζ142ζ142ζ22−2ζ222ζ14−2ζ14−2ζ222ζ2200000000000000
χ684-44i−4i000-22440−2i2i0000000000002-22-2-22-222-22-22-22-2-4-44i−4i0000−4i4i000000002i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000
χ694-44i−4i000-22-210−2i2i003-300−2i32i3−i3i3i3−i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3-11-112−i3−2+i32+i3−2−i32-1−2i2i003i−3i−ii0023−233−3−332ζ14−2ζ142ζ22−2ζ222ζ14−2ζ14−2ζ222ζ22i−i−ii−3ζ14−ζ223ζ14+ζ22ζ14+3ζ22−ζ14−3ζ2200000000000000
χ704-44i−4i000-22-210−2i2i003-3002i3−2i3i3−i3−i3i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3-11-112+i3−2−i32−i3−2+i32-1−2i2i003i−3i−ii00−2323−333−32ζ22−2ζ222ζ14−2ζ142ζ22−2ζ22−2ζ142ζ14i−i−ii−ζ14−3ζ22ζ14+3ζ223ζ14+ζ22−3ζ14−ζ2200000000000000
χ714-44i−4i000-22-210−2i2i00-33−2i32i300i3−i3i3−i3−1−i31+i3−1+i31−i31−i3−1+i31+i3−1−i32+i3−2−i32−i3−2+i3-11-112-1−2i2i00−3i3i−ii23−2300−33−332ζ22−2ζ222ζ14−2ζ142ζ14−2ζ14−2ζ222ζ22ζ14+3ζ22−ζ14−3ζ22−3ζ14−ζ223ζ14+ζ22−iii−i00000000000000
χ724-44i−4i000-22-210−2i2i00-332i3−2i300−i3i3−i3i3−1+i31−i3−1−i31+i31+i3−1−i31−i3−1+i32−i3−2+i32+i3−2−i3-11-112-1−2i2i00−3i3i−ii−2323003−33−32ζ14−2ζ142ζ22−2ζ222ζ22−2ζ22−2ζ142ζ143ζ14+ζ22−3ζ14−ζ22−ζ14−3ζ22ζ14+3ζ22−iii−i00000000000000
χ734-4−4i4i0002-21-20−2i2i3-300−i3i3−i3i300−2i32i31-11-12+i3−2−i32−i3−2+i31+i3−1−i31−i3−1+i31−i3−1+i31+i3−1−i3-12−ii−3i3i00−2i2i−33−3300−2323−ii−ii−ζ14−3ζ22ζ14+3ζ223ζ14+ζ22−3ζ14−ζ22−2ζ222ζ222ζ14−2ζ142ζ14−2ζ14−2ζ222ζ2200000000000000
χ744-4−4i4i0002-21-20−2i2i3-300i3−i3i3−i3002i3−2i31-11-12−i3−2+i32+i3−2−i31−i3−1+i31+i3−1−i31+i3−1−i31−i3−1+i3-12−ii−3i3i00−2i2i3−33−30023−23−ii−ii−3ζ14−ζ223ζ14+ζ22ζ14+3ζ22−ζ14−3ζ22−2ζ142ζ142ζ22−2ζ222ζ22−2ζ22−2ζ142ζ1400000000000000
χ754-4−4i4i0002-21-20−2i2i-3300−i3i3i3−i3−2i32i300−2+i32−i3−2−i32+i3-11-111+i3−1−i31−i3−1+i31+i3−1−i31−i3−1+i3-12−ii3i−3i00−2i2i−333−3−232300−3ζ14−ζ223ζ14+ζ22−ζ14−3ζ22ζ14+3ζ22−iii−i−2ζ222ζ222ζ14−2ζ142ζ22−2ζ22−2ζ142ζ1400000000000000
χ764-4−4i4i0002-21-20−2i2i-3300i3−i3−i3i32i3−2i300−2−i32+i3−2+i32−i3-11-111−i3−1+i31+i3−1−i31−i3−1+i31+i3−1−i3-12−ii3i−3i00−2i2i3−3−3323−2300−ζ14−3ζ22ζ14+3ζ22−3ζ14−ζ223ζ14+ζ22−iii−i−2ζ142ζ142ζ22−2ζ222ζ14−2ζ14−2ζ222ζ2200000000000000
χ774-4−4i4i0002-2440−2i2i000000000000-22-222-22-2-22-22-22-22-4-4−4i4i00004i−4i000000002i−2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i00000000000000
χ784-4−4i4i0002-2-210−2i2i003-300−2i32i3−i3i3i3−i31−i3−1+i31+i3−1−i3−1+i31−i3−1−i31+i31-11-1−2+i32−i3−2−i32+i32-12i−2i00−3i3ii−i00−2323−333−32ζ14−2ζ142ζ22−2ζ222ζ14−2ζ14−2ζ222ζ22i−i−ii−3ζ14−ζ223ζ14+ζ22ζ14+3ζ22−ζ14−3ζ2200000000000000
χ794-4−4i4i0002-2-210−2i2i003-3002i3−2i3i3−i3−i3i31+i3−1−i31−i3−1+i3−1−i31+i3−1+i31−i31-11-1−2−i32+i3−2+i32−i32-12i−2i00−3i3ii−i0023−233−3−332ζ22−2ζ222ζ14−2ζ142ζ22−2ζ22−2ζ142ζ14i−i−ii−ζ14−3ζ22ζ14+3ζ223ζ14+ζ22−3ζ14−ζ2200000000000000
χ804-4−4i4i0002-2-210−2i2i00-33−2i32i300i3−i3i3−i31+i3−1−i31−i3−1+i3−1+i31−i3−1−i31+i3−2−i32+i3−2+i32−i31-11-12-12i−2i003i−3ii−i−2323003−33−32ζ22−2ζ222ζ14−2ζ142ζ14−2ζ14−2ζ222ζ22ζ14+3ζ22−ζ14−3ζ22−3ζ14−ζ223ζ14+ζ22−iii−i00000000000000
χ814-4−4i4i0002-2-210−2i2i00-332i3−2i300−i3i3−i3i31−i3−1+i31+i3−1−i3−1−i31+i3−1+i31−i3−2+i32−i3−2−i32+i31-11-12-12i−2i003i−3ii−i23−2300−33−332ζ14−2ζ142ζ22−2ζ222ζ22−2ζ22−2ζ142ζ143ζ14+ζ22−3ζ14−ζ22−ζ14−3ζ22ζ14+3ζ22−iii−i00000000000000
χ824-4−4i4i000-221-202i−2i3-300−i3i3−i3i300−2i32i3-11-11−2−i32+i3−2+i32−i3−1−i31+i3−1+i31−i3−1+i31−i3−1−i31+i3-12−ii−3i3i00−2i2i−33−3300−2323i−ii−iζ14+3ζ22−ζ14−3ζ22−3ζ14−ζ223ζ14+ζ222ζ22−2ζ22−2ζ142ζ14−2ζ142ζ142ζ22−2ζ2200000000000000
χ834-4−4i4i000-221-202i−2i3-300i3−i3i3−i3002i3−2i3-11-11−2+i32−i3−2−i32+i3−1+i31−i3−1−i31+i3−1−i31+i3−1+i31−i3-12−ii−3i3i00−2i2i3−33−30023−23i−ii−i3ζ14+ζ22−3ζ14−ζ22−ζ14−3ζ22ζ14+3ζ222ζ14−2ζ14−2ζ222ζ22−2ζ222ζ222ζ14−2ζ1400000000000000
χ844-4−4i4i000-221-202i−2i-3300−i3i3i3−i3−2i32i3002−i3−2+i32+i3−2−i31-11-1−1−i31+i3−1+i31−i3−1−i31+i3−1+i31−i3-12−ii3i−3i00−2i2i−333−3−2323003ζ14+ζ22−3ζ14−ζ22ζ14+3ζ22−ζ14−3ζ22i−i−ii2ζ22−2ζ22−2ζ142ζ14−2ζ222ζ222ζ14−2ζ1400000000000000
χ854-4−4i4i000-221-202i−2i-3300i3−i3−i3i32i3−2i3002+i3−2−i32−i3−2+i31-11-1−1+i31−i3−1−i31+i3−1+i31−i3−1−i31+i3-12−ii3i−3i00−2i2i3−3−3323−2300ζ14+3ζ22−ζ14−3ζ223ζ14+ζ22−3ζ14−ζ22i−i−ii2ζ14−2ζ14−2ζ222ζ22−2ζ142ζ142ζ22−2ζ2200000000000000
χ864-4−4i4i000-224402i−2i0000000000002-22-2-22-222-22-22-22-2-4-4−4i4i00004i−4i00000000−2i2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i00000000000000
χ874-4−4i4i000-22-2102i−2i003-300−2i32i3−i3i3i3−i3−1+i31−i3−1−i31+i31−i3−1+i31+i3−1−i3-11-112−i3−2+i32+i3−2−i32-12i−2i00−3i3ii−i00−2323−333−3−2ζ142ζ14−2ζ222ζ22−2ζ142ζ142ζ22−2ζ22−iii−i3ζ14+ζ22−3ζ14−ζ22−ζ14−3ζ22ζ14+3ζ2200000000000000
χ884-4−4i4i000-22-2102i−2i003-3002i3−2i3i3−i3−i3i3−1−i31+i3−1+i31−i31+i3−1−i31−i3−1+i3-11-112+i3−2−i32−i3−2+i32-12i−2i00−3i3ii−i0023−233−3−33−2ζ222ζ22−2ζ142ζ14−2ζ222ζ222ζ14−2ζ14−iii−iζ14+3ζ22−ζ14−3ζ22−3ζ14−ζ223ζ14+ζ2200000000000000
χ894-4−4i4i000-22-2102i−2i00-33−2i32i300i3−i3i3−i3−1−i31+i3−1+i31−i31−i3−1+i31+i3−1−i32+i3−2−i32−i3−2+i3-11-112-12i−2i003i−3ii−i−2323003−33−3−2ζ222ζ22−2ζ142ζ14−2ζ142ζ142ζ22−2ζ22−ζ14−3ζ22ζ14+3ζ223ζ14+ζ22−3ζ14−ζ22i−i−ii00000000000000
χ904-4−4i4i000-22-2102i−2i00-332i3−2i300−i3i3−i3i3−1+i31−i3−1−i31+i31+i3−1−i31−i3−1+i32−i3−2+i32+i3−2−i3-11-112-12i−2i003i−3ii−i23−2300−33−33−2ζ142ζ14−2ζ222ζ22−2ζ222ζ222ζ14−2ζ14−3ζ14−ζ223ζ14+ζ22ζ14+3ζ22−ζ14−3ζ22i−i−ii00000000000000

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