Finite Group Databasebeta

← Group #11771506

Character table — Group #11771506

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444444444444444444444444444444444444444444444444444444444444443636363672727272727272727272
order12442423344444666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212128888881616161616161616
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
χ51111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1
χ61111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111
χ71111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ81111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ911-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−iζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13
χ1011-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13
χ1111-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23
χ1211-1-11-1-111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−iiζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23
χ1311-1-11-1-1111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−iiζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ1411-1-11-1-1111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111ii−i−i−ii−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13
χ1511-1-11-1-1111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−i−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23
χ1611-1-11-1-1111-1-111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−iiii−iζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ17222222-222-20000-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222222000000000000000000000000000000002-22-20000000000
χ18222222-222-20000-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-22-220000000000
χ1922-2-22-2222-2000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002i−2i−2i2i0000000000
χ2022-2-22-2222-2000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000−2i2i2i−2i0000000000
χ2144444441-2444441111-2-2-2-2111-2-2-21111-2-2-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-200000000000000
χ2244444441-24-4-4-4-41111-2-2-2-2111-2-2-21111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222222200000000000000
χ234444444-2144444-2-2-2-21111-2-2-2111-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000
χ244444444-214-4-4-4-4-2-2-2-21111-2-2-2111-2-2-2-21111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000
χ25444444-41-2-40000-1-1-1-12222111-2-2-2-1-1-1-122221111-2-2-2-23333-3-3-3-3000000003333-3-3-3-30000000000000000000000
χ26444444-41-2-40000-1-1-1-12222111-2-2-2-1-1-1-122221111-2-2-2-2-3-3-3-3333300000000-3-3-3-333330000000000000000000000
χ27444444-4-21-400002222-1-1-1-1-2-2-21112222-1-1-1-1-2-2-2-21111000000003333-3-3-3-3000000003333-3-3-3-300000000000000
χ28444444-4-21-400002222-1-1-1-1-2-2-21112222-1-1-1-1-2-2-2-2111100000000-3-3-3-3333300000000-3-3-3-3333300000000000000
χ294444-4-401-20000033-3-300001-1-122-233-3-3000011-1-122-2-233−3−333−3−300002323−23−2333−3−333−3−300002323−23−2300000000000000
χ304444-4-401-20000033-3-300001-1-122-233-3-3000011-1-122-2-2−3−333−3−3330000−23−232323−3−333−3−3330000−23−23232300000000000000
χ314444-4-401-200000-3-33300001-1-122-2-3-333000011-1-122-2-233−3−3−3−3332323−23−23000033−3−3−3−3332323−23−23000000000000000000
χ324444-4-401-200000-3-33300001-1-122-2-3-333000011-1-122-2-2−3−33333−3−3−23−2323230000−3−33333−3−3−23−232323000000000000000000
χ334444-4-404400000000000004-4-4-4-440000000044-4-4-4-4440000000000000000000000000000000000000000000000
χ344444-4-40-2100000000033-3-3-222-1-11000033-3-3-2-222-1-11100002323−23−2333−3−3−3−33300002323−23−2333−3−3−3−33300000000000000
χ354444-4-40-2100000000033-3-3-222-1-11000033-3-3-2-222-1-1110000−23−232323−3−33333−3−30000−23−232323−3−33333−3−300000000000000
χ364444-4-40-21000000000-3-333-222-1-110000-3-333-2-222-1-1112323−23−230000−3−333−3−3332323−23−230000−3−333−3−33300000000000000
χ374444-4-40-21000000000-3-333-222-1-110000-3-333-2-222-1-111−23−232323000033−3−333−3−3−23−232323000033−3−333−3−300000000000000
χ3844-4-44-441-2-400001111-2-2-2-2111-2-2-2-1-1-1-12222-1-1-1-122223333-3-3-3-300000000-3-3-3-333330000000000000000000000
χ3944-4-44-441-2-400001111-2-2-2-2111-2-2-2-1-1-1-12222-1-1-1-12222-3-3-3-33333000000003333-3-3-3-30000000000000000000000
χ4044-4-44-44-21-40000-2-2-2-21111-2-2-21112222-1-1-1-12222-1-1-1-1000000003333-3-3-3-300000000-3-3-3-3333300000000000000
χ4144-4-44-44-21-40000-2-2-2-21111-2-2-21112222-1-1-1-12222-1-1-1-100000000-3-3-3-33333000000003333-3-3-3-300000000000000
χ4244-4-44-4-41-2444-4-4-1-1-1-12222111-2-2-21111-2-2-2-2-1-1-1-1222211111111-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222222200000000000000
χ4344-4-44-4-41-24-4-444-1-1-1-12222111-2-2-21111-2-2-2-2-1-1-1-12222-1-1-1-1-1-1-1-12222222211111111-2-2-2-2-2-2-2-200000000000000
χ4444-4-44-4-4-21444-4-42222-1-1-1-1-2-2-2111-2-2-2-211112222-1-1-1-1-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000
χ4544-4-44-4-4-214-4-4442222-1-1-1-1-2-2-2111-2-2-2-211112222-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000
χ4644-4-4-4401-20000033-3-300001-1-122-2-3-3330000-1-111-2-22233−3−3−3−3332323−23−230000−3−33333−3−3−23−232323000000000000000000
χ4744-4-4-4401-20000033-3-300001-1-122-2-3-3330000-1-111-2-222−3−33333−3−3−23−232323000033−3−3−3−3332323−23−23000000000000000000
χ4844-4-4-4401-200000-3-33300001-1-122-233-3-30000-1-111-2-22233−3−333−3−300002323−23−23−3−333−3−3330000−23−23232300000000000000
χ4944-4-4-4401-200000-3-33300001-1-122-233-3-30000-1-111-2-222−3−333−3−3330000−23−23232333−3−333−3−300002323−23−2300000000000000
χ5044-4-4-4404400000000000004-4-4-4-4400000000-4-44444-4-40000000000000000000000000000000000000000000000
χ5144-4-4-440-2100000000033-3-3-222-1-110000-3-33322-2-211-1-12323−23−230000−3−333−3−333−23−232323000033−3−333−3−300000000000000
χ5244-4-4-440-2100000000033-3-3-222-1-110000-3-33322-2-211-1-1−23−232323000033−3−333−3−32323−23−230000−3−333−3−33300000000000000
χ5344-4-4-440-21000000000-3-333-222-1-11000033-3-322-2-211-1-100002323−23−2333−3−3−3−3330000−23−232323−3−33333−3−300000000000000
χ5444-4-4-440-21000000000-3-333-222-1-11000033-3-322-2-211-1-10000−23−232323−3−33333−3−300002323−23−2333−3−3−3−33300000000000000
χ554-44i−4i0001-202-22i−2i−i3i3−i3i300−2i32i3-13-30023−33−30023−23i−i3i−3i002i−2i2+3−2−32−3−2+31-11-11−3−1+31+3−1−31−3−1+31+3−1−3−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22i−ii−i−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000
χ564-44i−4i0001-202-22i−2i−i3i3i3−i3−2i32i300-1-330023−3−3323−2300i−i−3i3i002i−2i-11-11−2−32+3−2+32−31+3−1−31−3−1+31−3−1+31+3−1−3i−i−ii−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000
χ574-44i−4i0001-202-22i−2ii3−i3−i3i32i3−2i300-1-33002−333−3−232300i−i−3i3i002i−2i-11-11−2+32−3−2−32+31−3−1+31+3−1−31+3−1−31−3−1+3i−i−iiζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000
χ584-44i−4i0001-202-22i−2ii3−i3i3−i3002i3−2i3-13-3002−33−3300−2323i−i3i−3i002i−2i2−3−2+32+3−2−31-11-11+3−1−31−3−1+31+3−1−31−3−1+3ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22i−ii−iζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000
χ594-44i−4i0001-20-22−2i2i−i3i3−i3i300−2i32i3-13-30023−33−30023−23i−i3i−3i002i−2i−2−32+3−2+32−3-11-11−1+31−3−1−31+3−1+31−3−1−31+3ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ii−iiζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000
χ604-44i−4i0001-20-22−2i2i−i3i3i3−i3−2i32i300-1-330023−3−3323−2300i−i−3i3i002i−2i1-11-12+3−2−32−3−2+3−1−31+3−1+31−3−1+31−3−1−31+3−iii−iζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000
χ614-44i−4i0001-20-22−2i2ii3−i3−i3i32i3−2i300-1-33002−333−3−232300i−i−3i3i002i−2i1-11-12−3−2+32+3−2−3−1+31−3−1−31+3−1−31+3−1+31−3−iii−i−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000
χ624-44i−4i0001-20-22−2i2ii3−i3i3−i3002i3−2i3-13-3002−33−3300−2323i−i3i−3i002i−2i−2+32−3−2−32+3-11-11−1−31+3−1+31−3−1−31+3−1+31−3−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ii−ii−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000
χ634-44i−4i0004402-22i−2i00000000-40000-4000000004i−4i0000−4i4i2-22-2-22-22-22-22-22-22−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000
χ644-44i−4i000440-22−2i2i00000000-40000-4000000004i−4i0000−4i4i-22-222-22-22-22-22-22-22i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000
χ654-44i−4i000-2102-22i−2i00−2i32i3−i3i3i3−i32003-3-10023−233−3−33−2i2i003i−3i−ii−1+31−3−1−31+31+3−1−31−3−1+3−2+32−3−2−32+31-11-1−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22i−i−ii00000000000000
χ664-44i−4i000-2102-22i−2i002i3−2i3i3−i3−i3i32003-3-100−2323−333−3−2i2i003i−3i−ii−1−31+3−1+31−31−3−1+31+3−1−3−2−32+3−2+32−31-11-1ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22i−i−ii00000000000000
χ674-44i−4i000-2102-22i−2i−2i32i300i3−i3i3−i3200-33-123−2300−33−33−2i2i00−3i3i−ii−1+31−3−1−31+31−3−1+31+3−1−31-11-1−2+32−3−2−32+3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22i−i−iiζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ2200000000000000
χ684-44i−4i000-2102-22i−2i2i3−2i300−i3i3−i3i3200-33-1−2323003−33−3−2i2i00−3i3i−ii−1−31+3−1+31−31+3−1−31−3−1+31-11-1−2−32+3−2+32−3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22i−i−ii−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ2200000000000000
χ694-44i−4i000-210-22−2i2i00−2i32i3−i3i3i3−i32003-3-10023−233−3−33−2i2i003i−3i−ii1−3−1+31+3−1−3−1−31+3−1+31−32−3−2+32+3−2−3-11-11ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−iii−i00000000000000
χ704-44i−4i000-210-22−2i2i002i3−2i3i3−i3−i3i32003-3-100−2323−333−3−2i2i003i−3i−ii1+3−1−31−3−1+3−1+31−3−1−31+32+3−2−32−3−2+3-11-11−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−iii−i00000000000000
χ714-44i−4i000-210-22−2i2i−2i32i300i3−i3i3−i3200-33-123−2300−33−33−2i2i00−3i3i−ii1−3−1+31+3−1−3−1+31−3−1−31+3-11-112−3−2+32+3−2−3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−iii−i−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ2200000000000000
χ724-44i−4i000-210-22−2i2i2i3−2i300−i3i3−i3i3200-33-1−2323003−33−3−2i2i00−3i3i−ii1+3−1−31−3−1+3−1−31+3−1+31−3-11-112+3−2−32−3−2+3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−iii−iζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ2200000000000000
χ734-4−4i4i0001-202-2−2i2i−i3i3−i3i300−2i32i3-13-3002−33−3300−2323−ii−3i3i00−2i2i2−3−2+32+3−2−31-11-11+3−1−31−3−1+31+3−1−31−3−1+3−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ii−ii−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000
χ744-4−4i4i0001-202-2−2i2i−i3i3i3−i3−2i32i300-1-33002−333−3−232300−ii3i−3i00−2i2i-11-11−2+32−3−2−32+31−3−1+31+3−1−31+3−1−31−3−1+3−iii−i−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ2200000000000000
χ754-4−4i4i0001-202-2−2i2ii3−i3−i3i32i3−2i300-1-330023−3−3323−2300−ii3i−3i00−2i2i-11-11−2−32+3−2+32−31+3−1−31−3−1+31−3−1+31+3−1−3−iii−iζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000
χ764-4−4i4i0001-202-2−2i2ii3−i3i3−i3002i3−2i3-13-30023−33−30023−23−ii−3i3i00−2i2i2+3−2−32−3−2+31-11-11−3−1+31+3−1−31−3−1+31+3−1−3ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ii−iiζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ2200000000000000
χ774-4−4i4i0001-20-222i−2i−i3i3−i3i300−2i32i3-13-3002−33−3300−2323−ii−3i3i00−2i2i−2+32−3−2−32+3-11-11−1−31+3−1+31−3−1−31+3−1+31−3ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22i−ii−iζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000
χ784-4−4i4i0001-20-222i−2i−i3i3i3−i3−2i32i300-1-33002−333−3−232300−ii3i−3i00−2i2i1-11-12−3−2+32+3−2−3−1+31−3−1−31+3−1−31+3−1+31−3i−i−iiζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ2200000000000000
χ794-4−4i4i0001-20-222i−2ii3−i3−i3i32i3−2i300-1-330023−3−3323−2300−ii3i−3i00−2i2i1-11-12+3−2−32−3−2+3−1−31+3−1+31−3−1+31−3−1−31+3i−i−ii−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000
χ804-4−4i4i0001-20-222i−2ii3−i3i3−i3002i3−2i3-13-30023−33−30023−23−ii−3i3i00−2i2i−2−32+3−2+32−3-11-11−1+31−3−1−31+3−1+31−3−1−31+3−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22i−ii−i−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ2200000000000000
χ814-4−4i4i0004402-2−2i2i00000000-40000-400000000−4i4i00004i−4i2-22-2-22-22-22-22-22-222i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i00000000000000
χ824-4−4i4i000440-222i−2i00000000-40000-400000000−4i4i00004i−4i-22-222-22-22-22-22-22-2−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i00000000000000
χ834-4−4i4i000-2102-2−2i2i00−2i32i3−i3i3i3−i32003-3-100−2323−333−32i−2i00−3i3ii−i−1−31+3−1+31−31−3−1+31+3−1−3−2−32+3−2+32−31-11-1−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−iii−i00000000000000
χ844-4−4i4i000-2102-2−2i2i002i3−2i3i3−i3−i3i32003-3-10023−233−3−332i−2i00−3i3ii−i−1+31−3−1−31+31+3−1−31−3−1+3−2+32−3−2−32+31-11-1ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−iii−i00000000000000
χ854-4−4i4i000-2102-2−2i2i−2i32i300i3−i3i3−i3200-33-1−2323003−33−32i−2i003i−3ii−i−1−31+3−1+31−31+3−1−31−3−1+31-11-1−2−32+3−2+32−3−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−iii−iζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ2200000000000000
χ864-4−4i4i000-2102-2−2i2i2i3−2i300−i3i3−i3i3200-33-123−2300−33−332i−2i003i−3ii−i−1+31−3−1−31+31−3−1+31+3−1−31-11-1−2+32−3−2−32+3ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−iii−i−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ2200000000000000
χ874-4−4i4i000-210-222i−2i00−2i32i3−i3i3i3−i32003-3-100−2323−333−32i−2i00−3i3ii−i1+3−1−31−3−1+3−1+31−3−1−31+32+3−2−32−3−2+3-11-11ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22i−i−ii00000000000000
χ884-4−4i4i000-210-222i−2i002i3−2i3i3−i3−i3i32003-3-10023−233−3−332i−2i00−3i3ii−i1−3−1+31+3−1−3−1−31+3−1+31−32−3−2+32+3−2−3-11-11−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22i−i−ii00000000000000
χ894-4−4i4i000-210-222i−2i−2i32i300i3−i3i3−i3200-33-1−2323003−33−32i−2i003i−3ii−i1+3−1−31−3−1+3−1−31+3−1+31−3-11-112+3−2−32−3−2+3ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22ζ4+ζ14−ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22i−i−ii−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ2200000000000000
χ904-4−4i4i000-210-222i−2i2i3−2i300−i3i3−i3i3200-33-123−2300−33−332i−2i003i−3ii−i1−3−1+31+3−1−3−1+31−3−1−31+3-11-112−3−2+32+3−2−3−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22−ζ4+ζ14+ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4−ζ14+ζ20−ζ22ζ4+ζ14−ζ20+ζ22ζ4−ζ14−ζ20−ζ22−ζ4+ζ14+ζ20+ζ22i−i−iiζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ2200000000000000

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