Finite Group Databasebeta

← Group #10831103

Character table — Group #10831103

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order12442223444666888812121212242424242424242422224444666666888888121212121212242424242424242424242424446688881212121212122424242424242424222244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ411111111111111111111111111111111-1-111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ5111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ6111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ911111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11-11-11-11-1
χ1011111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-11-11-11-11-11
χ1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111-1-111-1-111-1-11
χ1211111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-111-1-111-1-111-1
χ1311111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-11-11-11-11-1-11-11
χ1411111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11-11-11-111-11-1
χ1511111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-111111-1-111-1-11-111-1
χ1611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-111-1-111-11-1-11
χ172222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ182222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-222-2-2-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-2-2-211111111111111000000000000
χ192222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-1-1111122-2-2-2-2-1-11111-1-1-1-111111111-2-2-1-1-2-2221111-1-11111-1-1-1-1000000000000
χ202222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1111122-2-2-2-2-1-11111-1-1-1-111111111221122-2-2-1-1-1-111-1-1-1-11111000000000000
χ212222222-1222-1-1-1-2-2-2-2-1-1-1-11111111122222222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111122-1-1-2-2-2-2-1-1-1-1-1-111111111000000000000
χ222222222-1222-1-1-1-2-2-2-2-1-1-1-11111111122-2-222-2-2-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111-2-2112222111111-1-1-1-1-1-1-1-1000000000000
χ232222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-222-2-222-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-1-2-2-1-122-2-21111-1-1-1-1-1-11111000000000000
χ242222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-2-2-2-2-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-12211-2-222-1-1-1-1111111-1-1-1-1000000000000
χ2522222-2-22-2-222222222222222222222002-2002-2-2-20000-2-20000-2-20000-2-2-2-200000000002-2002-200002-2000022-2-2000000000000
χ2622222-2-22-2-22222222222222222222200-2200-22-2-20000-2-20000-2-20000-2-2-2-20000000000-2200-220000-220000-2-222000000000000
χ2722222-2-22-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2002-2002-2-2-20000220000-2-20000222200000000002-200-2200002-20000-2-222000000000000
χ2822222-2-22-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200-2200-22-2-20000220000-2-2000022220000000000-22002-20000-22000022-2-2000000000000
χ2922222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002-2002-211−i3−i3i3i3-2-2000011−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i300-11002-2−i3−i3i3i3-11−i3−i3i3i3-1-111000000000000
χ3022222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002-2002-211i3i3−i3−i3-2-2000011i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i300-11002-2i3i3−i3−i3-11i3i3−i3−i3-1-111000000000000
χ3122222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2200-2211−i3−i3i3i3-2-2000011−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i3001-100-22i3i3−i3−i31-1i3i3−i3−i311-1-1000000000000
χ3222222-2-2-1-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2200-2211i3i3−i3−i3-2-2000011i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3001-100-22−i3−i3i3i31-1−i3−i3i3i311-1-1000000000000
χ3322222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-111111111002-2002-211−i3−i3i3i322000011−i3−i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i300-1100-22−i3−i3i3i3-11i3i3−i3−i311-1-1000000000000
χ3422222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-111111111002-2002-211i3i3−i3−i322000011i3i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i300-1100-22i3i3−i3−i3-11−i3−i3i3i311-1-1000000000000
χ3522222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-11111111100-2200-2211−i3−i3i3i322000011−i3−i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i3001-1002-2i3i3−i3−i31-1−i3−i3i3i3-1-111000000000000
χ3622222-2-2-1-2-22-1-1-1-2-2-2-2-1-1-1-11111111100-2200-2211i3i3−i3−i322000011i3i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i3001-1002-2−i3−i3i3i31-1i3i3−i3−i3-1-111000000000000
χ3722-2-22222-2-2-22220000-2-2-2-200000000222-2-2-2-22222222000000-2-2-2-2-2-20000000000002-22-200002-22-2-2200000000000000000000
χ3822-2-22222-2-2-22220000-2-2-2-20000000022-22-2-22-2222222000000-2-2-2-2-2-2000000000000-22-220000-22-222-200000000000000000000
χ3922-2-22222-2-2-22220000-2-2-2-200000000-2-22-222-2222-2-2-2-2000000-2-22222000000000000-222-20000-22-22-2200000000000000000000
χ4022-2-22222-2-2-22220000-2-2-2-200000000-2-2-22222-222-2-2-2-2000000-2-222220000000000002-2-2200002-22-22-200000000000000000000
χ4122-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3222-2-2-2-22-1-1-1-1-1-100000011111133−3−333−3−333−3−32-2-110000-11-111-13−33−33−33−3000000000000
χ4222-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−322-22-2-22-2-1-1-1-1-1-100000011111133−3−333−3−333−3−3-221-100001-11-1-11−33−33−33−33000000000000
χ4322-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-2-22-222-22-1-1111100000011-1-1-1-133−3−3−3−333−3−333-22-1100001-11-11-1−33−333−33−3000000000000
χ4422-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-2-2-22222-2-1-1111100000011-1-1-1-133−3−3−3−333−3−3332-21-10000-11-11-113−33−3−33−33000000000000
χ4522-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333222-2-2-2-22-1-1-1-1-1-1000000111111−3−333−3−333−3−3332-2-110000-11-111-1−33−33−33−33000000000000
χ4622-2-2222-1-2-2-2-1-1-100001111−3−3−3−3333322-22-2-22-2-1-1-1-1-1-1000000111111−3−333−3−333−3−333-221-100001-11-1-113−33−33−33−3000000000000
χ4722-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-2-22-222-22-1-1111100000011-1-1-1-1−3−33333−3−333−3−3-22-1100001-11-11-13−33−3−33−33000000000000
χ4822-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-2-2-22222-2-1-1111100000011-1-1-1-1−3−33333−3−333−3−32-21-10000-11-11-11−33−333−33−3000000000000
χ4922-2-22-2-2222-22220000-2-2-2-200000000002200-2-2-2-20000002i2i−2i−2i22000000002i2i−2i−2i−2i−2i2i2i00222i−2i000000-2-22i−2i−2i2i0000000000000000
χ5022-2-22-2-2222-22220000-2-2-2-200000000002200-2-2-2-2000000−2i−2i2i2i2200000000−2i−2i2i2i2i2i−2i−2i0022−2i2i000000-2-2−2i2i2i−2i0000000000000000
χ5122-2-22-2-2222-22220000-2-2-2-20000000000-2-20022-2-20000002i2i−2i−2i22000000002i2i−2i−2i−2i−2i2i2i00-2-2−2i2i00000022−2i2i2i−2i0000000000000000
χ5222-2-22-2-2222-22220000-2-2-2-20000000000-2-20022-2-2000000−2i−2i2i2i2200000000−2i−2i2i2i2i2i−2i−2i00-2-22i−2i000000222i−2i−2i2i0000000000000000
χ5322-2-22-2-2-122-2-1-1-1000011113333−3−3−3−3002200-2-211−i3−i3i3i3002i2i−2i−2i-1-1i3i3−i3−i3−3−333−i−iiiii−i−i00-1-12i−2i00−i3i3i3−i311−iii−i3−3−33000000000000
χ5422-2-22-2-2-122-2-1-1-1000011113333−3−3−3−3002200-2-211i3i3−i3−i300−2i−2i2i2i-1-1−i3−i3i3i3−3−333ii−i−i−i−iii00-1-1−2i2i00i3−i3−i3i311i−i−ii3−3−33000000000000
χ5522-2-22-2-2-122-2-1-1-1000011113333−3−3−3−300-2-2002211−i3−i3i3i3002i2i−2i−2i-1-1i3i3−i3−i3−3−333−i−iiiii−i−i0011−2i2i00i3−i3−i3i3-1-1i−i−ii−333−3000000000000
χ5622-2-22-2-2-122-2-1-1-1000011113333−3−3−3−300-2-2002211i3i3−i3−i300−2i−2i2i2i-1-1−i3−i3i3i3−3−333ii−i−i−i−iii00112i−2i00−i3i3i3−i3-1-1−iii−i−333−3000000000000
χ5722-2-22-2-2-122-2-1-1-100001111−3−3−3−33333002200-2-211−i3−i3i3i300−2i−2i2i2i-1-1i3i3−i3−i333−3−3ii−i−i−i−iii00-1-1−2i2i00−i3i3i3−i311i−i−ii−333−3000000000000
χ5822-2-22-2-2-122-2-1-1-100001111−3−3−3−33333002200-2-211i3i3−i3−i3002i2i−2i−2i-1-1−i3−i3i3i333−3−3−i−iiiii−i−i00-1-12i−2i00i3−i3−i3i311−iii−i−333−3000000000000
χ5922-2-22-2-2-122-2-1-1-100001111−3−3−3−3333300-2-2002211−i3−i3i3i300−2i−2i2i2i-1-1i3i3−i3−i333−3−3ii−i−i−i−iii00112i−2i00i3−i3−i3i3-1-1−iii−i3−3−33000000000000
χ6022-2-22-2-2-122-2-1-1-100001111−3−3−3−3333300-2-2002211i3i3−i3−i3002i2i−2i−2i-1-1−i3−i3i3i333−3−3−i−iiiii−i−i0011−2i2i00−i3i3i3−i3-1-1i−i−ii3−3−33000000000000
χ6122-2-2-22-222-22-2-2222-2-2-2-22222-2-222-2-2000000002-200002-200002-200002-22-2000000000000000000000000000000002200-2-20000
χ6222-2-2-22-222-22-2-2222-2-2-2-22222-2-222-2-2000000002-200002-200002-200002-22-200000000000000000000000000000000-2-200220000
χ6322-2-2-22-222-22-2-22-2-222-2-222-2-222-2-222000000002-20000-2200002-20000-22-22000000000000000000000000000000002-200-220000
χ6422-2-2-22-222-22-2-22-2-222-2-222-2-222-2-222000000002-20000-2200002-20000-22-2200000000000000000000000000000000-22002-20000
χ6522-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-200000000-220000-220000-220000-22-220000000000000000000000000000002200-2-2000000
χ6622-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-200000000-220000-220000-220000-22-22000000000000000000000000000000-2-20022000000
χ6722-2-2-2-222-222-2-22-2-222-2-222-2-222-2-22200000000-2200002-20000-2200002-22-20000000000000000000000000000002-200-22000000
χ6822-2-2-2-222-222-2-22-2-222-2-222-2-222-2-22200000000-2200002-20000-2200002-22-2000000000000000000000000000000-22002-2000000
χ694444-44-44-44-4-4-44000044-4-400000000000000004-40000000000-4400000000000000000000000000000000000000000000000000
χ704444-44-4-2-44-422-20000-2-2222323−23−23−23−23232300000000-2200000000002-2000023−23−2323000000000000000000000000000000000000000000
χ714444-44-4-2-44-422-20000-2-222−23−2323232323−23−2300000000-2200000000002-20000−232323−23000000000000000000000000000000000000000000
χ724444-4-4444-4-4-4-44000044-4-40000000000000000-4400000000004-400000000000000000000000000000000000000000000000000
χ734444-4-44-24-4-422-20000-2-2222323−23−23−23−232323000000002-20000000000-220000−232323−23000000000000000000000000000000000000000000
χ744444-4-44-24-4-422-20000-2-222−23−2323232323−23−23000000002-20000000000-22000023−23−2323000000000000000000000000000000000000000000
χ7544-4-4-44-4-24-4422-244-4-422-2-2-2-222-2-22200000000-2200004-40000-220000-22-22000000000000000000000000000000000000000000
χ7644-4-4-44-4-24-4422-2-4-44422-2-222-2-222-2-200000000-220000-440000-2200002-22-2000000000000000000000000000000000000000000
χ7744-4-4-4-44-2-44422-244-4-422-2-2-2-222-2-222000000002-20000-4400002-200002-22-2000000000000000000000000000000000000000000
χ7844-4-4-4-44-2-44422-2-4-44422-2-222-2-222-2-2000000002-200004-400002-20000-22-22000000000000000000000000000000000000000000
χ794-44i−4i000400000-422−22−2i22i24i−4i0022−22−2i22i222−22−2i22i22-2002i−2i00002-22-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ804-44i−4i000400000-422−22−2i22i24i−4i0022−22−2i22i222−22−2i22i2-2200−2i2i0000-22-2200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2i2i−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ814-44i−4i000400000-4−22222i2−2i24i−4i00−22222i2−2i2−22222i2−2i22-2002i−2i00002-22-200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ230000000000000000000000000000000000
χ824-44i−4i000400000-4−22222i2−2i24i−4i00−22222i2−2i2−22222i2−2i2-2200−2i2i0000-22-22002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2i2i−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ230000000000000000000000000000000000
χ834-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232-2002i−2i0000−1−i31+i3−1+i31−i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002ζ22−2ζ222ζ14−2ζ140000−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ230000000000000000000000000000000000
χ844-44i−4i000-2000−2i32i3222−22−2i22i2−2i2i23−232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23-2200−2i2i00001+i3−1−i31−i3−1+i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2ζ222ζ22−2ζ142ζ1400002ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ230000000000000000000000000000000000
χ854-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232-2002i−2i0000−1−i31+i3−1+i31−i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002ζ22−2ζ222ζ14−2ζ1400002ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ230000000000000000000000000000000000
χ864-44i−4i000-2000−2i32i32−22222i2−2i2−2i2i23−23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23-2200−2i2i00001+i3−1−i31−i3−1+i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2ζ222ζ22−2ζ142ζ140000−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ230000000000000000000000000000000000
χ874-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ72-2002i−2i0000−1+i31−i3−1−i31+i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002ζ14−2ζ142ζ22−2ζ220000−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ70000000000000000000000000000000000
χ884-44i−4i000-20002i3−2i3222−22−2i22i2−2i2i−23232ζ13−2ζ23−2ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7-2200−2i2i00001−i3−1+i31+i3−1−i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2ζ142ζ14−2ζ222ζ2200002ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ70000000000000000000000000000000000
χ894-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72-2002i−2i0000−1+i31−i3−1−i31+i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002ζ14−2ζ142ζ22−2ζ2200002ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ70000000000000000000000000000000000
χ904-44i−4i000-20002i3−2i32−22222i2−2i2−2i2i−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ7-2200−2i2i00001−i3−1+i31+i3−1−i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2ζ142ζ14−2ζ222ζ220000−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ70000000000000000000000000000000000
χ914-4−4i4i000400000-422−222i2−2i2−4i4i0022−222i2−2i222−222i2−2i22-200−2i2i00002-22-200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ924-4−4i4i000400000-422−222i2−2i2−4i4i0022−222i2−2i222−222i2−2i2-22002i−2i0000-22-22002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002i−2i2i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ934-4−4i4i000400000-4−2222−2i22i2−4i4i00−2222−2i22i2−2222−2i22i22-200−2i2i00002-22-2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ130000000000000000000000000000000000
χ944-4−4i4i000400000-4−2222−2i22i2−4i4i00−2222−2i22i2−2222−2i22i2-22002i−2i0000-22-2200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002i−2i2i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ130000000000000000000000000000000000
χ954-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72-200−2i2i0000−1−i31+i3−1+i31−i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2ζ222ζ22−2ζ142ζ1400002ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ50000000000000000000000000000000000
χ964-4−4i4i000-2000−2i32i3222−222i2−2i22i−2i−23232ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7-22002i−2i00001+i3−1−i31−i3−1+i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002ζ22−2ζ222ζ14−2ζ140000−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ50000000000000000000000000000000000
χ974-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72-200−2i2i0000−1−i31+i3−1+i31−i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2ζ222ζ22−2ζ142ζ140000−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ50000000000000000000000000000000000
χ984-4−4i4i000-2000−2i32i32−2222−2i22i22i−2i−2323−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7-22002i−2i00001+i3−1−i31−i3−1+i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002ζ22−2ζ222ζ14−2ζ1400002ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ50000000000000000000000000000000000
χ994-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ232-200−2i2i0000−1+i31−i3−1−i31+i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2ζ142ζ14−2ζ222ζ2200002ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ130000000000000000000000000000000000
χ1004-4−4i4i000-20002i3−2i3222−222i2−2i22i−2i23−232ζ5−2ζ7−2ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23-22002i−2i00001−i3−1+i31+i3−1−i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002ζ14−2ζ142ζ22−2ζ220000−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ130000000000000000000000000000000000
χ1014-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232-200−2i2i0000−1+i31−i3−1−i31+i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2ζ142ζ14−2ζ222ζ220000−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ130000000000000000000000000000000000
χ1024-4−4i4i000-20002i3−2i32−2222−2i22i22i−2i23−23−2ζ5+2ζ72ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ23-22002i−2i00001−i3−1+i31+i3−1−i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002ζ14−2ζ142ζ22−2ζ2200002ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ130000000000000000000000000000000000

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