Finite Group Databasebeta

← Group #10896446

Character table — Group #10896446

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order12442223444666888812121212242424242424242444446688888888881212121212121212121224242424242424242424242444448812121212121212122424242424242424224488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ41111111111111111111111111111111111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ5111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-11-111-1-11-11-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-11-11-1-111-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-1-1-111-111-1
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1111-1-11-1-11
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-11-11-111-1-1-11-11
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1111-11-1
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-111111-11-1-1-1111-1-11
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-11111-11-1111-1-1-111-1
χ172222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-12222-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21111111111111111000000000000
χ192222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2222222-1-111111111-1-1-1-11111111122-2-2-2-2-1-1-1-11111-1-1-1-11111000000000000
χ202222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-2-2-2-2-2-2-2-222-1-111111111-1-1-1-111111111-2-222221111-1-1-1-11111-1-1-1-1000000000000
χ212222222-1222-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-2-2-2-22222-2-2-1-1-1-1-1-1-1-1-1-1111111111111-2-2-2-22211111111-1-1-1-1-1-1-1-1000000000000
χ222222222-1222-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111112222-2-2-1-1-1-1-1-1-1-111111111000000000000
χ232222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-122222222-2-2-1-1111111111111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ242222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-12222-2-2-2-2-2-2-1-1111111111111-1-1-1-1-1-1-1-122-2-222-1-1-1-111111111-1-1-1-1000000000000
χ252222-22-22-22-222222222222222222220000-2-2000022-2-2-2-2-2-200000000-2-2-2-2000000002-2000022-2-2000022-2-20000000000000000
χ262222-22-22-22-222222222222222222220000-2-20000-2-222-2-2-2-200000000-2-2-2-200000000-220000-2-2220000-2-2220000000000000000
χ272222-22-22-22-2222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2000022-2-222-2-200000000222200000000-220000-2-222000022-2-20000000000000000
χ282222-22-22-22-2222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-20000-2-22222-2-2000000002222000000002-2000022-2-20000-2-2220000000000000000
χ292222-22-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011000022-2-2-2-211−i3−i3−i3−i3i3i3i3i31111−i3−i3−i3−i3i3i3i3i32-20000-1-111−i3−i3i3i3-1-111−i3−i3i3i3000000000000
χ302222-22-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011000022-2-2-2-211i3i3i3i3−i3−i3−i3−i31111i3i3i3i3−i3−i3−i3−i32-20000-1-111i3i3−i3−i3-1-111i3i3−i3−i3000000000000
χ312222-22-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000110000-2-222-2-211−i3−i3−i3−i3i3i3i3i31111−i3−i3−i3−i3i3i3i3i3-22000011-1-1i3i3−i3−i311-1-1i3i3−i3−i3000000000000
χ322222-22-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000110000-2-222-2-211i3i3i3i3−i3−i3−i3−i31111i3i3i3i3−i3−i3−i3−i3-22000011-1-1−i3−i3i3i311-1-1−i3−i3i3i3000000000000
χ332222-22-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111000011000022-2-22211−i3−i3−i3−i3i3i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i3-22000011-1-1i3i3−i3−i3-1-111−i3−i3i3i3000000000000
χ342222-22-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111000011000022-2-22211i3i3i3i3−i3−i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i3-22000011-1-1−i3−i3i3i3-1-111i3i3−i3−i3000000000000
χ352222-22-2-1-22-2-1-1-1-2-2-2-2-1-1-1-1111111110000110000-2-2222211−i3−i3−i3−i3i3i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i32-20000-1-111−i3−i3i3i311-1-1i3i3−i3−i3000000000000
χ362222-22-2-1-22-2-1-1-1-2-2-2-2-1-1-1-1111111110000110000-2-2222211i3i3i3i3−i3−i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i32-20000-1-111i3i3−i3−i311-1-1−i3−i3i3i3000000000000
χ3722-2-22222-2-2-22220000-2-2-2-2000000000000222i2i−2i−2i2i−2i2i−2i00-2-20000000000002i2i−2i−2i2i2i−2i−2i002-20000002-22-22i−2i2i−2i0000000000000000
χ3822-2-22222-2-2-22220000-2-2-2-2000000000000222i2i−2i−2i−2i2i−2i2i00-2-20000000000002i2i−2i−2i2i2i−2i−2i00-22000000-22-22−2i2i−2i2i0000000000000000
χ3922-2-22222-2-2-22220000-2-2-2-200000000000022−2i−2i2i2i2i−2i2i−2i00-2-2000000000000−2i−2i2i2i−2i−2i2i2i00-22000000-22-222i−2i2i−2i0000000000000000
χ4022-2-22222-2-2-22220000-2-2-2-200000000000022−2i−2i2i2i−2i2i−2i2i00-2-2000000000000−2i−2i2i2i−2i−2i2i2i002-20000002-22-2−2i2i−2i2i0000000000000000
χ4122-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−30000-1-12i2i−2i−2i2i−2i2i−2i0011−i3−i3i3i3−i3−i3i3i333−3−3−i−iii−i−iii002-200−i3i3−i3i3-11-11−ii−ii3−33−3000000000000
χ4222-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−30000-1-12i2i−2i−2i−2i2i−2i2i0011−i3−i3i3i3−i3−i3i3i333−3−3−i−iii−i−iii00-2200i3−i3i3−i31-11-1i−ii−i−33−33000000000000
χ4322-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−30000-1-1−2i−2i2i2i2i−2i2i−2i0011i3i3−i3−i3i3i3−i3−i333−3−3ii−i−iii−i−i00-2200−i3i3−i3i31-11-1−ii−ii−33−33000000000000
χ4422-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−30000-1-1−2i−2i2i2i−2i2i−2i2i0011i3i3−i3−i3i3i3−i3−i333−3−3ii−i−iii−i−i002-200i3−i3i3−i3-11-11i−ii−i3−33−3000000000000
χ4522-2-2222-1-2-2-2-1-1-100001111−3−3−3−333330000-1-12i2i−2i−2i2i−2i2i−2i0011i3i3−i3−i3i3i3−i3−i3−3−333−i−iii−i−iii002-200i3−i3i3−i3-11-11−ii−ii−33−33000000000000
χ4622-2-2222-1-2-2-2-1-1-100001111−3−3−3−333330000-1-12i2i−2i−2i−2i2i−2i2i0011i3i3−i3−i3i3i3−i3−i3−3−333−i−iii−i−iii00-2200−i3i3−i3i31-11-1i−ii−i3−33−3000000000000
χ4722-2-2222-1-2-2-2-1-1-100001111−3−3−3−333330000-1-1−2i−2i2i2i2i−2i2i−2i0011−i3−i3i3i3−i3−i3i3i3−3−333ii−i−iii−i−i00-2200i3−i3i3−i31-11-1−ii−ii3−33−3000000000000
χ4822-2-2222-1-2-2-2-1-1-100001111−3−3−3−333330000-1-1−2i−2i2i2i−2i2i−2i2i0011−i3−i3i3i3−i3−i3i3i3−3−333ii−i−iii−i−i002-200−i3i3−i3i3-11-11i−ii−i−33−33000000000000
χ4922-2-22-2-2222-22-2-222-2-222-2-222-2-222-2-200002-2000000002-22-2000000002-22-200000000000000000000000000000022-2-200000000
χ5022-2-22-2-2222-22-2-222-2-222-2-222-2-222-2-200002-2000000002-22-2000000002-22-2000000000000000000000000000000-2-22200000000
χ5122-2-22-2-2222-22-2-2-2-22222-2-2-2-222-2-22200002-200000000-222-200000000-22-220000000000000000000000000000002-2-2200000000
χ5222-2-22-2-2222-22-2-2-2-22222-2-2-2-222-2-22200002-200000000-222-200000000-22-22000000000000000000000000000000-222-200000000
χ5322-2-2-22-222-222220000-2-2-2-20000000022-2-2-2-200002i−2i−2i2i002222-2-2-2-22200000000000000002i−2i000000002i−2i−2i2i2i−2i−2i2i000000000000
χ5422-2-2-22-222-222220000-2-2-2-20000000022-2-2-2-20000−2i2i2i−2i002222-2-2-2-2220000000000000000−2i2i00000000−2i2i2i−2i−2i2i2i−2i000000000000
χ5522-2-2-22-222-222220000-2-2-2-200000000-2-222-2-200002i−2i−2i2i0022-2-22222-2-20000000000000000−2i2i000000002i−2i−2i2i−2i2i2i−2i000000000000
χ5622-2-2-22-222-222220000-2-2-2-200000000-2-222-2-20000−2i2i2i−2i0022-2-22222-2-200000000000000002i−2i00000000−2i2i2i−2i2i−2i−2i2i000000000000
χ5722-2-2-22-2-12-22-1-1-1000011113333−3−3−3−322-2-21100002i−2i−2i2i00-1-1-1-11111-1-1−3−33333−3−3−3−33300002i−2i−i3i3i3−i3−i3i3i3−i3−iii−i−iii−i000000000000
χ5822-2-2-22-2-12-22-1-1-1000011113333−3−3−3−322-2-2110000−2i2i2i−2i00-1-1-1-11111-1-1−3−33333−3−3−3−3330000−2i2ii3−i3−i3i3i3−i3−i3i3i−i−iii−i−ii000000000000
χ5922-2-2-22-2-12-22-1-1-1000011113333−3−3−3−3-2-2221100002i−2i−2i2i00-1-111-1-1-1-111−3−333−3−33333−3−30000−2i2i−i3i3i3−i3i3−i3−i3i3−iii−ii−i−ii000000000000
χ6022-2-2-22-2-12-22-1-1-1000011113333−3−3−3−3-2-222110000−2i2i2i−2i00-1-111-1-1-1-111−3−333−3−33333−3−300002i−2ii3−i3−i3i3−i3i3i3−i3i−i−ii−iii−i000000000000
χ6122-2-2-22-2-12-22-1-1-100001111−3−3−3−3333322-2-21100002i−2i−2i2i00-1-1-1-11111-1-133−3−3−3−33333−3−300002i−2ii3−i3−i3i3i3−i3−i3i3−iii−i−iii−i000000000000
χ6222-2-2-22-2-12-22-1-1-100001111−3−3−3−3333322-2-2110000−2i2i2i−2i00-1-1-1-11111-1-133−3−3−3−33333−3−30000−2i2i−i3i3i3−i3−i3i3i3−i3i−i−iii−i−ii000000000000
χ6322-2-2-22-2-12-22-1-1-100001111−3−3−3−33333-2-2221100002i−2i−2i2i00-1-111-1-1-1-11133−3−333−3−3−3−3330000−2i2ii3−i3−i3i3−i3i3i3−i3−iii−ii−i−ii000000000000
χ6422-2-2-22-2-12-22-1-1-100001111−3−3−3−33333-2-222110000−2i2i2i−2i00-1-111-1-1-1-11133−3−333−3−3−3−33300002i−2i−i3i3i3−i3i3−i3−i3i3i−i−ii−iii−i000000000000
χ6522-2-2-2-222-2222-2-222-2-222-2-222-2-222-2-20000-2200000000-22-2200000000-22-2200000000000000000000000000000000002i−2i2i−2i0000
χ6622-2-2-2-222-2222-2-222-2-222-2-222-2-222-2-20000-2200000000-22-2200000000-22-220000000000000000000000000000000000−2i2i−2i2i0000
χ6722-2-2-2-222-2222-2-2-2-22222-2-2-2-222-2-2220000-22000000002-2-22000000002-22-200000000000000000000000000000000002i−2i−2i2i0000
χ6822-2-2-2-222-2222-2-2-2-22222-2-2-2-222-2-2220000-22000000002-2-22000000002-22-20000000000000000000000000000000000−2i2i2i−2i0000
χ6944444-4-44-4-444-4-40000-4-4440000000000004-40000000000-44000000000000000000000000000000000000000000000000000000
χ7044444-4-4-2-4-44-222000022-2-22323−23−23−23−2323230000-2200000000002-20000000023−23−2323000000000000000000000000000000000000000000
χ7144444-4-4-2-4-44-222000022-2-2−23−2323232323−23−230000-2200000000002-200000000−232323−23000000000000000000000000000000000000000000
χ724444-4-4444-4-44-4-40000-4-444000000000000-4400000000004-4000000000000000000000000000000000000000000000000000000
χ734444-4-44-24-4-4-222000022-2-22323−23−23−23−23232300002-20000000000-2200000000−232323−23000000000000000000000000000000000000000000
χ744444-4-44-24-4-4-222000022-2-2−23−2323232323−23−2300002-20000000000-220000000023−23−2323000000000000000000000000000000000000000000
χ7544-4-44-4-4-244-4-22244-4-4-2-222-2-222-2-2220000-22000000004-4-2200000000-22-22000000000000000000000000000000000000000000
χ7644-4-44-4-4-244-4-222-4-444-2-22222-2-222-2-20000-2200000000-44-22000000002-22-2000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-444-22244-4-4-2-222-2-222-2-22200002-200000000-442-2000000002-22-2000000000000000000000000000000000000000000
χ7844-4-4-4-44-2-444-222-4-444-2-22222-2-222-2-200002-2000000004-42-200000000-22-22000000000000000000000000000000000000000000
χ794-44i−4i0004000-40022−22−2i22i2004i−4i22−22−2i22i222−22−2i22i22-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000002-22i−2i2i−2i2-200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ804-44i−4i0004000-40022−22−2i22i2004i−4i22−22−2i22i222−22−2i22i2-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000-22−2i2i−2i2i-220000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ814-44i−4i0004000-400−22222i2−2i2004i−4i−22222i2−2i2−22222i2−2i22-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000002-22i−2i2i−2i2-20000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ824-44i−4i0004000-400−22222i2−2i2004i−4i−22222i2−2i2−22222i2−2i2-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000-22−2i2i−2i2i-2200002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ834-44i−4i000-20002−2i32i322−22−2i22i223−23−2i2i2ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−1−i31+i32ζ22−2ζ222ζ14−2ζ14−1+i31−i30000−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ50000000000000000000000000000000000
χ844-44i−4i000-20002−2i32i322−22−2i22i223−23−2i2i2ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000001+i3−1−i3−2ζ222ζ22−2ζ142ζ141−i3−1+i300002ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ50000000000000000000000000000000000
χ854-44i−4i000-20002−2i32i3−22222i2−2i223−23−2i2i−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−1−i31+i32ζ22−2ζ222ζ14−2ζ14−1+i31−i300002ζ7−2ζ7−2ζ132ζ132ζ23−2ζ23−2ζ52ζ50000000000000000000000000000000000
χ864-44i−4i000-20002−2i32i3−22222i2−2i223−23−2i2i−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000001+i3−1−i3−2ζ222ζ22−2ζ142ζ141−i3−1+i30000−2ζ72ζ72ζ13−2ζ13−2ζ232ζ232ζ5−2ζ50000000000000000000000000000000000
χ874-44i−4i000-200022i3−2i322−22−2i22i2−2323−2i2i2ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72-22i−2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−1+i31−i32ζ14−2ζ142ζ22−2ζ22−1−i31+i30000−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ130000000000000000000000000000000000
χ884-44i−4i000-200022i3−2i322−22−2i22i2−2323−2i2i2ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7-22−2i2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000001−i3−1+i3−2ζ142ζ14−2ζ222ζ221+i3−1−i300002ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ130000000000000000000000000000000000
χ894-44i−4i000-200022i3−2i3−22222i2−2i2−2323−2i2i−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72-22i−2i00−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−1+i31−i32ζ14−2ζ142ζ22−2ζ22−1−i31+i300002ζ23−2ζ23−2ζ52ζ52ζ7−2ζ7−2ζ132ζ130000000000000000000000000000000000
χ904-44i−4i000-200022i3−2i3−22222i2−2i2−2323−2i2i−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7-22−2i2i002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000001−i3−1+i3−2ζ142ζ14−2ζ222ζ221+i3−1−i30000−2ζ232ζ232ζ5−2ζ5−2ζ72ζ72ζ13−2ζ130000000000000000000000000000000000
χ914-4−4i4i0004000-40022−222i2−2i200−4i4i22−222i2−2i222−222i2−2i22-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000002-2−2i2i−2i2i2-20000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ924-4−4i4i0004000-40022−222i2−2i200−4i4i22−222i2−2i222−222i2−2i2-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000-222i−2i2i−2i-2200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ934-4−4i4i0004000-400−2222−2i22i200−4i4i−2222−2i22i2−2222−2i22i22-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000002-2−2i2i−2i2i2-200002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ944-4−4i4i0004000-400−2222−2i22i200−4i4i−2222−2i22i2−2222−2i22i2-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000-222i−2i2i−2i-220000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ954-4−4i4i000-20002−2i32i322−222i2−2i2−23232i−2i2ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−1−i31+i3−2ζ222ζ22−2ζ142ζ14−1+i31−i300002ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ230000000000000000000000000000000000
χ964-4−4i4i000-20002−2i32i322−222i2−2i2−23232i−2i2ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000001+i3−1−i32ζ22−2ζ222ζ14−2ζ141−i3−1+i30000−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ230000000000000000000000000000000000
χ974-4−4i4i000-20002−2i32i3−2222−2i22i2−23232i−2i−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1−i31+i3−2ζ222ζ22−2ζ142ζ14−1+i31−i30000−2ζ132ζ132ζ7−2ζ7−2ζ52ζ52ζ23−2ζ230000000000000000000000000000000000
χ984-4−4i4i000-20002−2i32i3−2222−2i22i2−23232i−2i−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000001+i3−1−i32ζ22−2ζ222ζ14−2ζ141−i3−1+i300002ζ13−2ζ13−2ζ72ζ72ζ5−2ζ5−2ζ232ζ230000000000000000000000000000000000
χ994-4−4i4i000-200022i3−2i322−222i2−2i223−232i−2i2ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232-2−2i2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000−1+i31−i3−2ζ142ζ14−2ζ222ζ22−1−i31+i300002ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ70000000000000000000000000000000000
χ1004-4−4i4i000-200022i3−2i322−222i2−2i223−232i−2i2ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23-222i−2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000001−i3−1+i32ζ14−2ζ142ζ22−2ζ221+i3−1−i30000−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ70000000000000000000000000000000000
χ1014-4−4i4i000-200022i3−2i3−2222−2i22i223−232i−2i−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232-2−2i2i002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000−1+i31−i3−2ζ142ζ14−2ζ222ζ22−1−i31+i30000−2ζ52ζ52ζ23−2ζ23−2ζ132ζ132ζ7−2ζ70000000000000000000000000000000000
χ1024-4−4i4i000-200022i3−2i3−2222−2i22i223−232i−2i−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23-222i−2i00−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000001−i3−1+i32ζ14−2ζ142ζ22−2ζ221+i3−1−i300002ζ5−2ζ5−2ζ232ζ232ζ13−2ζ13−2ζ72ζ70000000000000000000000000000000000

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