Finite Group Databasebeta

← Group #10714448

Character table — Group #10714448

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order124422234446668888121212122424242424242424224466666688888812121212121224242424242424242424242416161616161616164848484848484848484848484848484824448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ922222222222222-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1022222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ112222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ132222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111122-2-2-2-2-1-11111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ142222222-1222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1111122-2-2-2-2-1-11111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ152222222-1222-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-1111111111111000000003333−3−3−3−33333−3−3−3−300000000
χ162222222-1222-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111111100000000−3−3−3−33333−3−3−3−3333300000000
χ172222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−3333300000000
χ182222222-1222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-11111-2-22222-1-111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−300000000
χ1922222-2-22-22-222222222222222222220000-2-20000-2-20000-2-20000-2-2-2-20000000022-2-2000022-2-222-2-20000000000000000
χ2022222-2-22-22-222222222222222222220000-2-20000-2-20000-2-20000-2-2-2-200000000-2-2220000-2-222-2-2220000000000000000
χ2122222-2-22-22-2222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-20000220000-2-2000022220000000000002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ2222222-2-22-22-2222-2-2-2-22222-2-2-2-2-2-2-2-20000-2-20000220000-2-200002222000000000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ2322222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011−i3−i3i3i3-2-2000011−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i322-2-20000-1-111-1-111−i3−i3i3i3i3i3−i3−i300000000
χ2422222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011−i3−i3i3i3-2-2000011−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i3-2-222000011-1-111-1-1i3i3−i3−i3−i3−i3i3i300000000
χ2522222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011i3i3−i3−i3-2-2000011i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i322-2-20000-1-111-1-111i3i3−i3−i3−i3−i3i3i300000000
χ2622222-2-2-1-22-2-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000011i3i3−i3−i3-2-2000011i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3-2-222000011-1-111-1-1−i3−i3i3i3i3i3−i3−i300000000
χ2722222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111000011−i3−i3i3i322000011−i3−i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i300002i2i−2i−2i33−3−3−3−333−i−iii−i−iii00000000
χ2822222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111000011−i3−i3i3i322000011−i3−i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i30000−2i−2i2i2i−3−33333−3−3ii−i−iii−i−i00000000
χ2922222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111000011i3i3−i3−i322000011i3i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i300002i2i−2i−2i−3−33333−3−3−i−iii−i−iii00000000
χ3022222-2-2-1-22-2-1-1-1-2-2-2-2-1-1-1-111111111000011i3i3−i3−i322000011i3i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−2i−2i2i2i33−3−3−3−333ii−i−iii−i−i00000000
χ3122-2-22222-2-2-22220000-2-2-2-20000000022-2-2222222000000-2-2-2-2-2-2000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ3222-2-22222-2-2-22220000-2-2-2-20000000022-2-2222222000000-2-2-2-2-2-2000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ3322-2-22222-2-2-22220000-2-2-2-200000000-2-22222-2-2-2-2000000-2-22222000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ3422-2-22222-2-2-22220000-2-2-2-200000000-2-22222-2-2-2-2000000-2-22222000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ3522-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−322-2-2-1-1-1-1-1-100000011111133−3−333−3−333−3−3−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000
χ3622-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−322-2-2-1-1-1-1-1-100000011111133−3−333−3−333−3−3i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000
χ3722-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-2-222-1-1111100000011-1-1-1-133−3−3−3−333−3−333−i2i2−i2i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000
χ3822-2-2222-1-2-2-2-1-1-1000011113333−3−3−3−3-2-222-1-1111100000011-1-1-1-133−3−3−3−333−3−333i2−i2i2−i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000
χ3922-2-2222-1-2-2-2-1-1-100001111−3−3−3−3333322-2-2-1-1-1-1-1-1000000111111−3−333−3−333−3−333−i2i2−i2i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
χ4022-2-2222-1-2-2-2-1-1-100001111−3−3−3−3333322-2-2-1-1-1-1-1-1000000111111−3−333−3−333−3−333i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ4122-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-2-222-1-1111100000011-1-1-1-1−3−33333−3−333−3−3−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ4222-2-2222-1-2-2-2-1-1-100001111−3−3−3−33333-2-222-1-1111100000011-1-1-1-1−3−33333−3−333−3−3i2−i2i2−i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
χ4322-2-22-2-222-222220000-2-2-2-2000000000000-2-20000002i2i−2i−2i22000000002i2i−2i−2i−2i−2i2i2i−i2i2i2−i2−222−2−i2i2i2−i2−i2i2i2−i2−222−2−222−200000000
χ4422-2-22-2-222-222220000-2-2-2-2000000000000-2-20000002i2i−2i−2i22000000002i2i−2i−2i−2i−2i2i2ii2−i2−i2i22−2−22i2−i2−i2i2i2−i2−i2i22−2−222−2−2200000000
χ4522-2-22-2-222-222220000-2-2-2-2000000000000-2-2000000−2i−2i2i2i2200000000−2i−2i2i2i2i2i−2i−2i−i2i2i2−i22−2−22−i2i2i2−i2−i2i2i2−i22−2−222−2−2200000000
χ4622-2-22-2-222-222220000-2-2-2-2000000000000-2-2000000−2i−2i2i2i2200000000−2i−2i2i2i2i2i−2i−2ii2−i2−i2i2−222−2i2−i2−i2i2i2−i2−i2i2−222−2−222−200000000
χ4722-2-22-2-2-12-22-1-1-1000011113333−3−3−3−3000011−i3−i3i3i3002i2i−2i−2i-1-1i3i3−i3−i3−3−333−i−iiiii−i−i−i2i2i2−i2−222−2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ2300000000
χ4822-2-22-2-2-12-22-1-1-1000011113333−3−3−3−3000011−i3−i3i3i3002i2i−2i−2i-1-1i3i3−i3−i3−3−333−i−iiiii−i−ii2−i2−i2i22−2−22−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ2300000000
χ4922-2-22-2-2-12-22-1-1-1000011113333−3−3−3−3000011i3i3−i3−i300−2i−2i2i2i-1-1−i3−i3i3i3−3−333ii−i−i−i−iii−i2i2i2−i22−2−22ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ2300000000
χ5022-2-22-2-2-12-22-1-1-1000011113333−3−3−3−3000011i3i3−i3−i300−2i−2i2i2i-1-1−i3−i3i3i3−3−333ii−i−i−i−iiii2−i2−i2i2−222−2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ2300000000
χ5122-2-22-2-2-12-22-1-1-100001111−3−3−3−33333000011−i3−i3i3i300−2i−2i2i2i-1-1i3i3−i3−i333−3−3ii−i−i−i−iii−i2i2i2−i22−2−22ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ700000000
χ5222-2-22-2-2-12-22-1-1-100001111−3−3−3−33333000011−i3−i3i3i300−2i−2i2i2i-1-1i3i3−i3−i333−3−3ii−i−i−i−iiii2−i2−i2i2−222−2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ700000000
χ5322-2-22-2-2-12-22-1-1-100001111−3−3−3−33333000011i3i3−i3−i3002i2i−2i−2i-1-1−i3−i3i3i333−3−3−i−iiiii−i−i−i2i2i2−i2−222−2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ700000000
χ5422-2-22-2-2-12-22-1-1-100001111−3−3−3−33333000011i3i3−i3−i3002i2i−2i−2i-1-1−i3−i3i3i333−3−3−i−iiiii−i−ii2−i2−i2i22−2−22−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ700000000
χ5522-2-2-22-2222-2-2-2222-2-2-2-22222-2-222-2-200002-200002-200002-200002-22-2000000000000000000000000000000000000002i−2i
χ5622-2-2-22-2222-2-2-2222-2-2-2-22222-2-222-2-200002-200002-200002-200002-22-200000000000000000000000000000000000000−2i2i
χ5722-2-2-22-2222-2-2-22-2-222-2-222-2-222-2-22200002-20000-2200002-20000-22-220000000000000000000000000000000000002i−2i00
χ5822-2-2-22-2222-2-2-22-2-222-2-222-2-222-2-22200002-20000-2200002-20000-22-22000000000000000000000000000000000000−2i2i00
χ5922-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-20000-220000-220000-220000-22-2200000000000000000000000000000000002-20000
χ6022-2-2-2-222-222-2-2222-2-2-2-22222-2-222-2-20000-220000-220000-220000-22-220000000000000000000000000000000000-220000
χ6122-2-2-2-222-222-2-22-2-222-2-222-2-222-2-2220000-2200002-20000-2200002-22-2000000000000000000000000000000002-2000000
χ6222-2-2-2-222-222-2-22-2-222-2-222-2-222-2-2220000-2200002-20000-2200002-22-200000000000000000000000000000000-22000000
χ634444-44-44-4-44-4-44000044-4-40000000000004-40000000000-44000000000000000000000000000000000000000000000000
χ644444-44-4-2-4-4422-20000-2-2222323−23−23−23−2323230000-2200000000002-2000023−23−23230000000000000000000000000000000000000000
χ654444-44-4-2-4-4422-20000-2-222−23−2323232323−23−230000-2200000000002-20000−232323−230000000000000000000000000000000000000000
χ664444-4-4444-4-4-4-44000044-4-4000000000000-4400000000004-4000000000000000000000000000000000000000000000000
χ674444-4-44-24-4-422-20000-2-2222323−23−23−23−23232300002-20000000000-220000−232323−230000000000000000000000000000000000000000
χ684444-4-44-24-4-422-20000-2-222−23−2323232323−23−2300002-20000000000-22000023−23−23230000000000000000000000000000000000000000
χ6944-4-4-44-4-244-422-244-4-422-2-2-2-222-2-2220000-2200004-40000-220000-22-220000000000000000000000000000000000000000
χ7044-4-4-44-4-244-422-2-4-44422-2-222-2-222-2-20000-220000-440000-2200002-22-20000000000000000000000000000000000000000
χ7144-4-4-4-44-2-44422-244-4-422-2-2-2-222-2-22200002-20000-4400002-200002-22-20000000000000000000000000000000000000000
χ7244-4-4-4-44-2-44422-2-4-44422-2-222-2-222-2-200002-200004-400002-20000-22-220000000000000000000000000000000000000000
χ734-44i−4i000400000-4−2i22i222−224i−4i00−2i22i222−22−2i22i222−222-22i−2i002-22-2002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002i−2i2i−2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ744-44i−4i000400000-4−2i22i222−224i−4i00−2i22i222−22−2i22i222−22-22−2i2i00-22-2200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2i2i−2i2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ754-44i−4i000400000-42i2−2i2−22224i−4i002i2−2i2−22222i2−2i2−22222-22i−2i002-22-200−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002i−2i2i−2i0000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300000000000000000000000000000000
χ764-44i−4i000400000-42i2−2i2−22224i−4i002i2−2i2−22222i2−2i2−2222-22−2i2i00-22-22002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2i2i−2i2i00002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000000000000000000000000000
χ774-44i−4i000-2000−2i32i32−2i22i222−22−2i2i23−232ζ5+2ζ7−2ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ232-22i−2i00−1−i31+i3−1+i31−i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002ζ22−2ζ222ζ14−2ζ140000−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ2300000000000000000000000000000000
χ784-44i−4i000-2000−2i32i32−2i22i222−22−2i2i23−232ζ5+2ζ7−2ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23-22−2i2i001+i3−1−i31−i3−1+i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2ζ222ζ22−2ζ142ζ1400002ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ2300000000000000000000000000000000
χ794-44i−4i000-2000−2i32i322i2−2i2−2222−2i2i23−23−2ζ5−2ζ72ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232-22i−2i00−1−i31+i3−1+i31−i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002ζ22−2ζ222ζ14−2ζ1400002ζ7−2ζ7−2ζ132ζ13−2ζ52ζ52ζ23−2ζ2300000000000000000000000000000000
χ804-44i−4i000-2000−2i32i322i2−2i2−2222−2i2i23−23−2ζ5−2ζ72ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23-22−2i2i001+i3−1−i31−i3−1+i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2ζ222ζ22−2ζ142ζ140000−2ζ72ζ72ζ13−2ζ132ζ5−2ζ5−2ζ232ζ2300000000000000000000000000000000
χ814-44i−4i000-20002i3−2i32−2i22i222−22−2i2i−23232ζ13+2ζ23−2ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ72-22i−2i00−1+i31−i3−1−i31+i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13002ζ14−2ζ142ζ22−2ζ220000−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ700000000000000000000000000000000
χ824-44i−4i000-20002i3−2i32−2i22i222−22−2i2i−23232ζ13+2ζ23−2ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7-22−2i2i001−i3−1+i31+i3−1−i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300−2ζ142ζ14−2ζ222ζ2200002ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ700000000000000000000000000000000
χ834-44i−4i000-20002i3−2i322i2−2i2−2222−2i2i−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72-22i−2i00−1+i31−i3−1−i31+i300−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13002ζ14−2ζ142ζ22−2ζ2200002ζ23−2ζ23−2ζ52ζ5−2ζ132ζ132ζ7−2ζ700000000000000000000000000000000
χ844-44i−4i000-20002i3−2i322i2−2i2−2222−2i2i−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ7-22−2i2i001−i3−1+i31+i3−1−i3002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300−2ζ142ζ14−2ζ222ζ220000−2ζ232ζ232ζ5−2ζ52ζ13−2ζ13−2ζ72ζ700000000000000000000000000000000
χ854-4−4i4i000400000-4−2i22i2−2222−4i4i00−2i22i2−2222−2i22i2−22222-2−2i2i002-22-2002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2i2i−2i2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ864-4−4i4i000400000-4−2i22i2−2222−4i4i00−2i22i2−2222−2i22i2−2222-222i−2i00-22-2200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002i−2i2i−2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ874-4−4i4i000400000-42i2−2i222−22−4i4i002i2−2i222−222i2−2i222−222-2−2i2i002-22-200−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2i2i−2i2i0000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000000000000000000000000000
χ884-4−4i4i000400000-42i2−2i222−22−4i4i002i2−2i222−222i2−2i222−22-222i−2i00-22-22002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002i−2i2i−2i00002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000000000000000000000000000
χ894-4−4i4i000-2000−2i32i32−2i22i2−22222i−2i−23232ζ13+2ζ23−2ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ72-2−2i2i00−1−i31+i3−1+i31−i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2ζ222ζ22−2ζ142ζ140000−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ500000000000000000000000000000000
χ904-4−4i4i000-2000−2i32i32−2i22i2−22222i−2i−23232ζ13+2ζ23−2ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7-222i−2i001+i3−1−i31−i3−1+i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002ζ22−2ζ222ζ14−2ζ1400002ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ500000000000000000000000000000000
χ914-4−4i4i000-2000−2i32i322i2−2i222−222i−2i−2323−2ζ13−2ζ232ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72-2−2i2i00−1−i31+i3−1+i31−i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2ζ222ζ22−2ζ142ζ1400002ζ13−2ζ13−2ζ72ζ7−2ζ232ζ232ζ5−2ζ500000000000000000000000000000000
χ924-4−4i4i000-2000−2i32i322i2−2i222−222i−2i−2323−2ζ13−2ζ232ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ7-222i−2i001+i3−1−i31−i3−1+i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002ζ22−2ζ222ζ14−2ζ140000−2ζ132ζ132ζ7−2ζ72ζ23−2ζ23−2ζ52ζ500000000000000000000000000000000
χ934-4−4i4i000-20002i3−2i32−2i22i2−22222i−2i23−232ζ5+2ζ7−2ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ232-2−2i2i00−1+i31−i3−1−i31+i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ2300−2ζ142ζ14−2ζ222ζ220000−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ1300000000000000000000000000000000
χ944-4−4i4i000-20002i3−2i32−2i22i2−22222i−2i23−232ζ5+2ζ7−2ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23-222i−2i001−i3−1+i31+i3−1−i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23002ζ14−2ζ142ζ22−2ζ2200002ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ1300000000000000000000000000000000
χ954-4−4i4i000-20002i3−2i322i2−2i222−222i−2i23−23−2ζ5−2ζ72ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232-2−2i2i00−1+i31−i3−1−i31+i300−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300−2ζ142ζ14−2ζ222ζ2200002ζ5−2ζ5−2ζ232ζ23−2ζ72ζ72ζ13−2ζ1300000000000000000000000000000000
χ964-4−4i4i000-20002i3−2i322i2−2i222−222i−2i23−23−2ζ5−2ζ72ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ23-222i−2i001−i3−1+i31+i3−1−i3002ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23002ζ14−2ζ142ζ22−2ζ220000−2ζ52ζ52ζ23−2ζ232ζ7−2ζ7−2ζ132ζ1300000000000000000000000000000000

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