Finite Group Databasebeta

← Group #10698069

Character table — Group #10698069

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222222222222222222244444444444444444444444444444444448888888888888888888888884848484848484848
order122222222234444666666612121212121212122222444444666666666666121212121212121212121212888888882424242424242424242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
χ5111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-111
χ8111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1
χ922222222222-2-2-2-22222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ1022222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ112222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ122222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ132222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ142222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ152222222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000003333−3−3−3−33333−3−3−3−300000000
χ162222222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000−3−3−3−33333−3−3−3−3333300000000
χ172222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−3333300000000
χ182222222222-1-2-2-2-2-1-1-1-1-1-1-111111111-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−300000000
χ19222222-2-2-2-2222222222222222222220000-2-20000-2-2-2-200000000-2-2-2-20000000022-2-2000022-2-222-2-20000000000000000
χ20222222-2-2-2-2222222222222222222220000-2-20000-2-2-2-200000000-2-2-2-200000000-2-2220000-2-222-2-2220000000000000000
χ21222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-20000220000-2-2-2-20000000022220000000000002i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i00000000
χ22222222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-20000220000-2-2-2-2000000002222000000000000−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i00000000
χ23222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111−i3−i3−i3−i3i3i3i3i31111−i3−i3−i3−i3i3i3i3i322-2-20000-1-111-1-111−i3−i3i3i3i3i3−i3−i300000000
χ24222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111−i3−i3−i3−i3i3i3i3i31111−i3−i3−i3−i3i3i3i3i3-2-222000011-1-111-1-1i3i3−i3−i3−i3−i3i3i300000000
χ25222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111i3i3i3i3−i3−i3−i3−i31111i3i3i3i3−i3−i3−i3−i322-2-20000-1-111-1-111i3i3−i3−i3−i3−i3i3i300000000
χ26222222-2-2-2-2-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200001111i3i3i3i3−i3−i3−i3−i31111i3i3i3i3−i3−i3−i3−i3-2-222000011-1-111-1-1−i3−i3i3i3i3i3−i3−i300000000
χ27222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111100002200001111−i3−i3−i3−i3i3i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i300002i2i−2i−2i33−3−3−3−333−i−iii−i−iii00000000
χ28222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111100002200001111−i3−i3−i3−i3i3i3i3i3-1-1-1-1i3i3i3i3−i3−i3−i3−i30000−2i−2i2i2i−3−33333−3−3ii−i−iii−i−i00000000
χ29222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111100002200001111i3i3i3i3−i3−i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i300002i2i−2i−2i−3−33333−3−3−i−iii−i−iii00000000
χ30222222-2-2-2-2-1-2-2-2-2-1-1-1-1-1-1-11111111100002200001111i3i3i3i3−i3−i3−i3−i3-1-1-1-1−i3−i3−i3−i3i3i3i3i30000−2i−2i2i2i33−3−3−3−333ii−i−iii−i−i00000000
χ312222-2-22-22-2222-2-222-2-2-2-222222-2-2-2-200002-2000022-2-20000000022-2-200000000000000000000000000000000020-20000
χ322222-2-22-22-2222-2-222-2-2-2-222222-2-2-2-200002-2000022-2-20000000022-2-2000000000000000000000000000000000-2020000
χ332222-2-22-22-22-2-22222-2-2-2-22-2-2-2-222220000-22000022-2-200000000-2-222000000000000000000000000000000000000002-2
χ342222-2-22-22-22-2-22222-2-2-2-22-2-2-2-222220000-22000022-2-200000000-2-22200000000000000000000000000000000000000-22
χ352222-2-2-22-22222-2-222-2-2-2-222222-2-2-2-20000-220000-2-22200000000-2-2220000000000000000000000000000000020-200000
χ362222-2-2-22-22222-2-222-2-2-2-222222-2-2-2-20000-220000-2-22200000000-2-22200000000000000000000000000000000-20200000
χ372222-2-2-22-222-2-22222-2-2-2-22-2-2-2-2222200002-20000-2-2220000000022-2-20000000000000000000000000000000000002-200
χ382222-2-2-22-222-2-22222-2-2-2-22-2-2-2-2222200002-20000-2-2220000000022-2-2000000000000000000000000000000000000-2200
χ3922-2-22-222-2-2200002-222-2-2-20000000022-2-20000002-22-222-2-222-2-20000000000002−22−22−22−22−22−22−22−22−22−22−22−200000000
χ4022-2-22-222-2-2200002-222-2-2-20000000022-2-20000002-22-222-2-222-2-2000000000000−22−22−22−22−22−22−22−22−22−22−22−2200000000
χ4122-2-22-222-2-2200002-222-2-2-200000000-2-2220000002-22-2-2-222-2-2220000000000002−22−2−22−222−22−22−22−2−22−22−22−2200000000
χ4222-2-22-222-2-2200002-222-2-2-200000000-2-2220000002-22-2-2-222-2-222000000000000−22−222−22−2−22−22−22−222−22−22−22−200000000
χ4322-2-22-222-2-2-10000-11-1-111133−3−333−3−322-2-2000000-11-11-1-111-1-1113−33−333−3−333−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000
χ4422-2-22-222-2-2-10000-11-1-111133−3−333−3−322-2-2000000-11-11-1-111-1-1113−33−333−3−333−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000
χ4522-2-22-222-2-2-10000-11-1-111133−3−333−3−3-2-222000000-11-1111-1-111-1-13−33−3−3−333−3−3332−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000
χ4622-2-22-222-2-2-10000-11-1-111133−3−333−3−3-2-222000000-11-1111-1-111-1-13−33−3−3−333−3−333−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000
χ4722-2-22-222-2-2-10000-11-1-1111−3−333−3−33322-2-2000000-11-11-1-111-1-111−33−33−3−333−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000
χ4822-2-22-222-2-2-10000-11-1-1111−3−333−3−33322-2-2000000-11-11-1-111-1-111−33−33−3−333−3−333−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000
χ4922-2-22-222-2-2-10000-11-1-1111−3−333−3−333-2-222000000-11-1111-1-111-1-1−33−3333−3−333−3−32−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700000000
χ5022-2-22-222-2-2-10000-11-1-1111−3−333−3−333-2-222000000-11-1111-1-111-1-1−33−3333−3−333−3−3−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700000000
χ5122-2-22-2-2-222200002-222-2-2-2000000000000002i2i−2i−2i-22-220000000000002i2i−2i−2i−2i−2i2i2i2−2−22i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ5222-2-22-2-2-222200002-222-2-2-2000000000000002i2i−2i−2i-22-220000000000002i2i−2i−2i−2i−2i2i2i−222−2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ5322-2-22-2-2-222200002-222-2-2-200000000000000−2i−2i2i2i-22-22000000000000−2i−2i2i2i2i2i−2i−2i2−2−22−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ5422-2-22-2-2-222200002-222-2-2-200000000000000−2i−2i2i2i-22-22000000000000−2i−2i2i2i2i2i−2i−2i−222−2i2−i2−i2i2−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ5522-2-22-2-2-222-10000-11-1-111133−3−333−3−30000002i2i−2i−2i1-11-1−i3−i3i3i3i3i3−i3−i3−33−33−i−iiiii−i−i2−2−22i2−i2−i2i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ2300000000
χ5622-2-22-2-2-222-10000-11-1-111133−3−333−3−30000002i2i−2i−2i1-11-1−i3−i3i3i3i3i3−i3−i3−33−33−i−iiiii−i−i−222−2−i2i2i2−i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ2300000000
χ5722-2-22-2-2-222-10000-11-1-111133−3−333−3−3000000−2i−2i2i2i1-11-1i3i3−i3−i3−i3−i3i3i3−33−33ii−i−i−i−iii2−2−22−i2i2i2−i2ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ2300000000
χ5822-2-22-2-2-222-10000-11-1-111133−3−333−3−3000000−2i−2i2i2i1-11-1i3i3−i3−i3−i3−i3i3i3−33−33ii−i−i−i−iii−222−2i2−i2−i2i2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ2300000000
χ5922-2-22-2-2-222-10000-11-1-1111−3−333−3−3330000002i2i−2i−2i1-11-1i3i3−i3−i3−i3−i3i3i33−33−3−i−iiiii−i−i2−2−22i2−i2−i2i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ700000000
χ6022-2-22-2-2-222-10000-11-1-1111−3−333−3−3330000002i2i−2i−2i1-11-1i3i3−i3−i3−i3−i3i3i33−33−3−i−iiiii−i−i−222−2−i2i2i2−i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ700000000
χ6122-2-22-2-2-222-10000-11-1-1111−3−333−3−333000000−2i−2i2i2i1-11-1−i3−i3i3i3i3i3−i3−i33−33−3ii−i−i−i−iii2−2−22−i2i2i2−i2ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ700000000
χ6222-2-22-2-2-222-10000-11-1-1111−3−333−3−333000000−2i−2i2i2i1-11-1−i3−i3i3i3i3i3−i3−i33−33−3ii−i−i−i−iii−222−2i2−i2−i2i2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ700000000
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χ784-44-4000000-2004i−4i2-2−2i32i3−2i32i3223−2323−23−2i2i−2i2i-22-2200−2i2i−2i2i00001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ1400000000000000000000000000000000
χ794-44-4000000-2004i−4i2-22i3−2i32i3−2i32−2323−2323−2i2i−2i2i2-22-2002i−2i2i−2i0000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i300002ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ2200000000000000000000000000000000
χ804-44-4000000-2004i−4i2-22i3−2i32i3−2i32−2323−2323−2i2i−2i2i-22-2200−2i2i−2i2i00001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ2200000000000000000000000000000000
χ814-44-4000000-200−4i4i2-2−2i32i3−2i32i32−2323−23232i−2i2i−2i2-22-200−2i2i−2i2i0000−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000−2ζ222ζ22−2ζ222ζ22−2ζ142ζ14−2ζ142ζ1400000000000000000000000000000000
χ824-44-4000000-200−4i4i2-2−2i32i3−2i32i32−2323−23232i−2i2i−2i-22-22002i−2i2i−2i00001+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i300002ζ22−2ζ222ζ22−2ζ222ζ14−2ζ142ζ14−2ζ1400000000000000000000000000000000
χ834-44-4000000-200−4i4i2-22i3−2i32i3−2i3223−2323−232i−2i2i−2i2-22-200−2i2i−2i2i0000−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000−2ζ142ζ14−2ζ142ζ14−2ζ222ζ22−2ζ222ζ2200000000000000000000000000000000
χ844-44-4000000-200−4i4i2-22i3−2i32i3−2i3223−2323−232i−2i2i−2i-22-22002i−2i2i−2i00001−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i300002ζ14−2ζ142ζ14−2ζ142ζ22−2ζ222ζ22−2ζ2200000000000000000000000000000000
χ854-4-4400000044-400-4-4000044-4-4400002-2-22002-2-2200002-2-222-2-2200002-2-22-222-200000000000000000000000000000000
χ864-4-4400000044-400-4-4000044-4-440000-222-200-222-20000-222-2-222-20000-222-22-2-2200000000000000000000000000000000
χ874-4-440000004-4400-4-400004-444-400002-2-2200-222-200002-2-222-2-220000-222-22-2-2200000000000000000000000000000000
χ884-4-440000004-4400-4-400004-444-40000-222-2002-2-220000-222-2-222-200002-2-22-222-200000000000000000000000000000000
χ894-4-44000000-24-40022−2i32i32i3−2i3-2-222-2−2i32i32i3−2i32-2-22002-2-220000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i30000−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i300000000000000000000000000000000
χ904-4-44000000-24-40022−2i32i32i3−2i3-2-222-2−2i32i32i3−2i3-222-200-222-200001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i300001+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i300000000000000000000000000000000
χ914-4-44000000-24-400222i3−2i3−2i32i3-2-222-22i3−2i3−2i32i32-2-22002-2-220000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i30000−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i300000000000000000000000000000000
χ924-4-44000000-24-400222i3−2i3−2i32i3-2-222-22i3−2i3−2i32i3-222-200-222-200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i300001−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i300000000000000000000000000000000
χ934-4-44000000-2-440022−2i32i32i3−2i3-22-2-222i3−2i3−2i32i32-2-2200-222-20000−1−i31+i31+i3−1−i3−1+i31−i31−i3−1+i300001+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i300000000000000000000000000000000
χ944-4-44000000-2-440022−2i32i32i3−2i3-22-2-222i3−2i3−2i32i3-222-2002-2-2200001+i3−1−i3−1−i31+i31−i3−1+i3−1+i31−i30000−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i300000000000000000000000000000000
χ954-4-44000000-2-4400222i3−2i3−2i32i3-22-2-22−2i32i32i3−2i32-2-2200-222-20000−1+i31−i31−i3−1+i3−1−i31+i31+i3−1−i300001−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i300000000000000000000000000000000
χ964-4-44000000-2-4400222i3−2i3−2i32i3-22-2-22−2i32i32i3−2i3-222-2002-2-2200001−i3−1+i3−1+i31−i31+i3−1−i3−1−i31+i30000−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i300000000000000000000000000000000

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