Finite Group Databasebeta

← Group #11771391

Character table — Group #11771391

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11112244444444444444444444444444444444444444444444444444444444444444444444443636363672727272727272727272
order122222334444446666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442288888888
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
χ91-11-11-1111-1ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ101-11-11-1111-1ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ111-11-11-1111-1ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ121-11-11-1111-1ii−i−i1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iii-11ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ131-11-11-1111-1−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-11ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ141-11-11-1111-1−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiii−i−i-11−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ151-11-11-1111-1−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ161-11-11-1111-1−i−iii1111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−iii1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ1722222222-2-2000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002-22-20000000000
χ1822222222-2-2000022222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-22-220000000000
χ192-22-22-222-2200002222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000002i−2i−2i2i0000000000
χ202-22-22-222-2200002222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000−2i2i2i−2i0000000000
χ214444441-244444411-2-211-2-21-211-2-21111-2-2-2-21111-2-2-2-211111111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-200000000000000
χ224444441-244-4-4-4-411-2-211-2-21-211-2-21111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222222200000000000000
χ234444441-2-4-4000011-2-211-2-21-211-2-2-1-1-1-12222-1-1-1-122223333-3-3-3-3000000003333-3-3-3-30000000000000000000000
χ244444441-2-4-4000011-2-211-2-21-211-2-2-1-1-1-12222-1-1-1-12222-3-3-3-3333300000000-3-3-3-333330000000000000000000000
χ25444444-21444444-2-211-2-211-21-2-211-2-2-2-21111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000
χ26444444-2144-4-4-4-4-2-211-2-211-21-2-211-2-2-2-21111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000
χ27444444-21-4-40000-2-211-2-211-21-2-2112222-1-1-1-12222-1-1-1-1000000003333-3-3-3-3000000003333-3-3-3-300000000000000
χ28444444-21-4-40000-2-211-2-211-21-2-2112222-1-1-1-12222-1-1-1-100000000-3-3-3-3333300000000-3-3-3-3333300000000000000
χ294444-4-41-2000000-1-12211-2-21-2-1-12233-3-3000033-3-3000033−3−333−3−300002323−23−2333−3−333−3−300002323−23−2300000000000000
χ304444-4-41-2000000-1-12211-2-21-2-1-12233-3-3000033-3-30000−3−333−3−3330000−23−232323−3−333−3−3330000−23−23232300000000000000
χ314444-4-41-2000000-1-12211-2-21-2-1-122-3-3330000-3-333000033−3−3−3−3332323−23−23000033−3−3−3−3332323−23−23000000000000000000
χ324444-4-41-2000000-1-12211-2-21-2-1-122-3-3330000-3-3330000−3−33333−3−3−23−2323230000−3−33333−3−3−23−232323000000000000000000
χ334444-4-444000000-4-4-4-4444444-4-4-4-400000000000000000000000000000000000000000000000000000000000000
χ344444-4-4-2100000022-1-1-2-211-2122-1-1000033-3-3000033-3-300002323−23−2333−3−3−3−33300002323−23−2333−3−3−3−33300000000000000
χ354444-4-4-2100000022-1-1-2-211-2122-1-1000033-3-3000033-3-30000−23−232323−3−33333−3−30000−23−232323−3−33333−3−300000000000000
χ364444-4-4-2100000022-1-1-2-211-2122-1-10000-3-3330000-3-3332323−23−230000−3−333−3−3332323−23−230000−3−333−3−33300000000000000
χ374444-4-4-2100000022-1-1-2-211-2122-1-10000-3-3330000-3-333−23−232323000033−3−333−3−3−23−232323000033−3−333−3−300000000000000
χ3844-4-4001-2002i−2i2i−2i3-3001-12-2-123-3003−33−30023−233−33−30023−23−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+ζ22−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
χ3944-4-4001-2002i−2i2i−2i3-3001-12-2-123-300−33−3300−2323−33−3300−2323ζ4−2ζ14−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+ζ22ζ4−2ζ14−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
χ4044-4-4001-2002i−2i2i−2i-33001-12-2-12-33003−3−3323−23003−3−3323−2300−iii−iζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−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+ζ22−iii−iζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−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
χ4144-4-4001-2002i−2i2i−2i-33001-12-2-12-3300−333−3−232300−333−3−232300−iii−i−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+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+ζ22−iii−i−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+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
χ4244-4-4001-200−2i2i−2i2i3-3001-12-2-123-3003−33−30023−233−33−30023−23ζ4+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−ζ22ζ4+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
χ4344-4-4001-200−2i2i−2i2i3-3001-12-2-123-300−33−3300−2323−33−3300−2323−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−ζ22−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
χ4444-4-4001-200−2i2i−2i2i-33001-12-2-12-33003−3−3323−23003−3−3323−2300i−i−ii−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+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−ζ22i−i−ii−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+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
χ4544-4-4001-200−2i2i−2i2i-33001-12-2-12-3300−333−3−232300−333−3−232300i−i−iiζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+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−ζ22i−i−iiζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+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
χ4644-4-40044002i−2i2i−2i00004-4-44-4-4000000000000000000002i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000
χ4744-4-4004400−2i2i−2i2i00004-4-44-4-400000000000000000000−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000
χ4844-4-400-21002i−2i2i−2i003-3-22-112-1003-30023−233−3−330023−233−3−33−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+ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−iii−i−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+ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−iii−i00000000000000
χ4944-4-400-21002i−2i2i−2i003-3-22-112-1003-300−2323−333−300−2323−333−3ζ4+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−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−iii−iζ4+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−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−iii−i00000000000000
χ5044-4-400-21002i−2i2i−2i00-33-22-112-100-3323−2300−33−3323−2300−33−33−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+ζ22−iii−iζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22−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+ζ22−iii−iζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ2200000000000000
χ5144-4-400-21002i−2i2i−2i00-33-22-112-100-33−2323003−33−3−2323003−33−3ζ4+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−iii−i−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22ζ4+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−iii−i−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ2200000000000000
χ5244-4-400-2100−2i2i−2i2i003-3-22-112-1003-30023−233−3−330023−233−3−33ζ4−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−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22i−i−iiζ4−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−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22i−i−ii00000000000000
χ5344-4-400-2100−2i2i−2i2i003-3-22-112-1003-300−2323−333−300−2323−333−3−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−ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22i−i−ii−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−ζ22ζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22i−i−ii00000000000000
χ5444-4-400-2100−2i2i−2i2i00-33-22-112-100-3323−2300−33−3323−2300−33−33ζ4−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−ζ22i−i−ii−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ22ζ4−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−ζ22i−i−ii−ζ4+2ζ14+ζ20+2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4+2ζ14−ζ20+2ζ2200000000000000
χ5544-4-400-2100−2i2i−2i2i00-33-22-112-100-33−2323003−33−3−2323003−33−3−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−ζ22i−i−iiζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ22−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−ζ22i−i−iiζ4+2ζ14−ζ20+2ζ22−ζ4−2ζ14+ζ20−2ζ22ζ4−2ζ14−ζ20−2ζ22−ζ4+2ζ14+ζ20+2ζ2200000000000000
χ564-44-44-41-24-44i4i−4i−4i11-2-2-1-1221-2-1-1221111-2-2-2-2-1-1-1-12222iiiiiiii−2i−2i−2i−2i−2i−2i−2i−2i−i−i−i−i−i−i−i−i2i2i2i2i2i2i2i2i00000000000000
χ574-44-44-41-24-4−4i−4i4i4i11-2-2-1-1221-2-1-1221111-2-2-2-2-1-1-1-12222−i−i−i−i−i−i−i−i2i2i2i2i2i2i2i2iiiiiiiii−2i−2i−2i−2i−2i−2i−2i−2i00000000000000
χ584-44-44-41-2-44000011-2-2-1-1221-2-1-122-1-1-1-122221111-2-2-2-23i3i3i3i−3i−3i−3i−3i00000000−3i−3i−3i−3i3i3i3i3i0000000000000000000000
χ594-44-44-41-2-44000011-2-2-1-1221-2-1-122-1-1-1-122221111-2-2-2-2−3i−3i−3i−3i3i3i3i3i000000003i3i3i3i−3i−3i−3i−3i0000000000000000000000
χ604-44-44-4-214-44i4i−4i−4i-2-21122-1-1-2122-1-1-2-2-2-211112222-1-1-1-1−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii2i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i00000000000000
χ614-44-44-4-214-4−4i−4i4i4i-2-21122-1-1-2122-1-1-2-2-2-211112222-1-1-1-12i2i2i2i2i2i2i2i−i−i−i−i−i−i−i−i−2i−2i−2i−2i−2i−2i−2i−2iiiiiiiii00000000000000
χ624-44-44-4-21-440000-2-21122-1-1-2122-1-12222-1-1-1-1-2-2-2-21111000000003i3i3i3i−3i−3i−3i−3i00000000−3i−3i−3i−3i3i3i3i3i00000000000000
χ634-44-44-4-21-440000-2-21122-1-1-2122-1-12222-1-1-1-1-2-2-2-2111100000000−3i−3i−3i−3i3i3i3i3i000000003i3i3i3i−3i−3i−3i−3i00000000000000
χ644-44-4-441-2000000-1-122-1-1221-211-2-233-3-30000-3-3330000−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i300000000000000
χ654-44-4-441-2000000-1-122-1-1221-211-2-233-3-30000-3-3330000i3i3−i3−i3i3i3−i3−i300002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i30000−2i3−2i32i32i300000000000000
χ664-44-4-441-2000000-1-122-1-1221-211-2-2-3-333000033-3-30000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i30000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i3000000000000000000
χ674-44-4-441-2000000-1-122-1-1221-211-2-2-3-333000033-3-30000i3i3−i3−i3−i3−i3i3i32i32i3−2i3−2i30000−i3−i3i3i3i3i3−i3−i3−2i3−2i32i32i3000000000000000000
χ684-44-4-4444000000-4-4-4-4-4-4-4-444444400000000000000000000000000000000000000000000000000000000000000
χ694-44-4-44-2100000022-1-122-1-1-21-2-211000033-3-30000-3-3330000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i300000000000000
χ704-44-4-44-2100000022-1-122-1-1-21-2-211000033-3-30000-3-33300002i32i3−2i3−2i3i3i3−i3−i3−i3−i3i3i30000−2i3−2i32i32i3−i3−i3i3i3i3i3−i3−i300000000000000
χ714-44-4-44-2100000022-1-122-1-1-21-2-2110000-3-333000033-3-3−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i32i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i300000000000000
χ724-44-4-44-2100000022-1-122-1-1-21-2-2110000-3-333000033-3-32i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i300000000000000
χ734-4-44001-2002-2-223-300-11-22-12-33003−33−30023−23−33−3300−23232−3−2+3−2−32+31-11-1−1−31+31−3−1+3−1−31+31−3−1+3−2+32−32+3−2−3-11-111+3−1−3−1+31−31+3−1−3−1+31−300000000000000
χ744-4-44001-2002-2-223-300-11-22-12-3300−33−3300−23233−33−30023−232+3−2−3−2+32−31-11-1−1+31−31+3−1−3−1+31−31+3−1−3−2−32+32−3−2+3-11-111−3−1+3−1−31+31−3−1+3−1−31+300000000000000
χ754-4-44001-2002-2-22-3300-11-22-123-3003−3−3323−2300−333−3−232300-111-1−2+32−3−2−32+3−1+31−31+3−1−3−1−31+31−3−1+31-1-112−3−2+32+3−2−31−3−1+3−1−31+31+3−1−3−1+31−300000000000000
χ764-4-44001-2002-2-22-3300-11-22-123-300−333−3−2323003−3−3323−2300-111-1−2−32+3−2+32−3−1−31+31−3−1+3−1+31−31+3−1−31-1-112+3−2−32−3−2+31+3−1−3−1+31−31−3−1+3−1−31+300000000000000
χ774-4-44001-200-222-23-300-11-22-12-33003−33−30023−23−33−3300−2323−2+32−32+3−2−3-11-111+3−1−3−1+31−31+3−1−3−1+31−32−3−2+3−2−32+31-11-1−1−31+31−3−1+3−1−31+31−3−1+300000000000000
χ784-4-44001-200-222-23-300-11-22-12-3300−33−3300−23233−33−30023−23−2−32+32−3−2+3-11-111−3−1+3−1−31+31−3−1+3−1−31+32+3−2−3−2+32−31-11-1−1+31−31+3−1−3−1+31−31+3−1−300000000000000
χ794-4-44001-200-222-2-3300-11-22-123-3003−3−3323−2300−333−3−2323001-1-112−3−2+32+3−2−31−3−1+3−1−31+31+3−1−3−1+31−3-111-1−2+32−3−2−32+3−1+31−31+3−1−3−1−31+31−3−1+300000000000000
χ804-4-44001-200-222-2-3300-11-22-123-300−333−3−2323003−3−3323−23001-1-112+3−2−32−3−2+31+3−1−3−1+31−31−3−1+3−1−31+3-111-1−2−32+3−2+32−3−1−31+31−3−1+3−1+31−31+3−1−300000000000000
χ814-4-440044002-2-220000-444-4-4-4000000000000000000002-2-22-22-222-2-222-2-22-222-22-22-2-222-2-222-200000000000000
χ824-4-44004400-222-20000-444-4-4-400000000000000000000-222-22-22-2-222-2-222-22-2-22-22-222-2-222-2-2200000000000000
χ834-4-4400-21002-2-22003-32-21-12-100-330023−233−3−3300−2323−333−3−1−31+31−3−1+31−3−1+31+3−1−32+3−2−3−2+32−3-111-11+3−1−3−1+31−3−1+31−3−1−31+3−2−32+32−3−2+31-1-1100000000000000
χ844-4-4400-21002-2-22003-32-21-12-100-3300−2323−333−30023−233−3−33−1+31−31+3−1−31+3−1−31−3−1+32−3−2+3−2−32+3-111-11−3−1+3−1−31+3−1−31+3−1+31−3−2+32−32+3−2−31-1-1100000000000000
χ854-4-4400-21002-2-2200-332-21-12-1003-323−2300−33−33−2323003−33−3−1−31+31−3−1+31+3−1−31−3−1+3-111-12+3−2−3−2+32−31+3−1−3−1+31−3−1−31+3−1+31−31-1-11−2−32+32−3−2+300000000000000
χ864-4-4400-21002-2-2200-332-21-12-1003-3−2323003−33−323−2300−33−33−1+31−31+3−1−31−3−1+31+3−1−3-111-12−3−2+3−2−32+31−3−1+3−1−31+3−1+31−3−1−31+31-1-11−2+32−32+3−2−300000000000000
χ874-4-4400-2100-222-2003-32-21-12-100-330023−233−3−3300−2323−333−31+3−1−3−1+31−3−1+31−3−1−31+3−2−32+32−3−2+31-1-11−1−31+31−3−1+31−3−1+31+3−1−32+3−2−3−2+32−3-111-100000000000000
χ884-4-4400-2100-222-2003-32-21-12-100-3300−2323−333−30023−233−3−331−3−1+3−1−31+3−1−31+3−1+31−3−2+32−32+3−2−31-1-11−1+31−31+3−1−31+3−1−31−3−1+32−3−2+3−2−32+3-111-100000000000000
χ894-4-4400-2100-222-200-332-21-12-1003-323−2300−33−33−2323003−33−31+3−1−3−1+31−3−1−31+3−1+31−31-1-11−2−32+32−3−2+3−1−31+31−3−1+31+3−1−31−3−1+3-111-12+3−2−3−2+32−300000000000000
χ904-4-4400-2100-222-200-332-21-12-1003-3−2323003−33−323−2300−33−331−3−1+3−1−31+3−1+31−3−1−31+31-1-11−2+32−32+3−2−3−1+31−31+3−1−31−3−1+31+3−1−3-111-12−3−2+3−2−32+300000000000000

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