Finite Group Databasebeta

← Group #10697992

Character table — Group #10697992

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444848484848484848
order122222223444444444444666666612121212121212121212121212121212121212121212121288888888888888888888888824242424242424242424242424242424242424242424242424242424242424242424242424242424242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ922222222222-2-2-2-222-2-2-2-222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000000000000000000022222222-2-2-2-2-2-2-2-200000000
χ1022222222222-2-2-2-222-2-2-2-222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000000000000000000000-2-2-2-2-2-2-2-22222222200000000
χ11222222222-2-222-2-2-2-222-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2000000002222-2-2-2-200000000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000
χ12222222222-2-222-2-2-2-222-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-200000000-2-2-2-22222000000000000000000000000-2-2-2-2-2-2-2-222222222000000000000000000000000
χ13222222222-2-2-2-222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ14222222222-2-2-2-222-2-2-2-2222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ1522222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1622222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111100000000
χ1722222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-21111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000
χ1822222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1922222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111100000000000000002222-2-2-2-23333−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−3-1-1-1-1-1-1-1-11111111100000000
χ2022222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111100000000000000002222-2-2-2-2−3−3−3−33333−3−3−3−33333−3−3−3−33333−3−3−3−33333-1-1-1-1-1-1-1-11111111100000000
χ2122222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111110000000000000000-2-2-2-222223333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−3333311111111-1-1-1-1-1-1-1-100000000
χ2222222222-122-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111110000000000000000-2-2-2-22222−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−311111111-1-1-1-1-1-1-1-100000000
χ2322222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111000000002222-2-2-2-2000000003333−3−3−3−3−3−3−3−33333-1-1-1-1-1-1-1-1111111113333−3−3−3−33333−3−3−3−300000000
χ2422222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111000000002222-2-2-2-200000000−3−3−3−333333333−3−3−3−3-1-1-1-1-1-1-1-111111111−3−3−3−33333−3−3−3−3333300000000
χ2522222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111100000000-2-2-2-22222000000003333−3−3−3−3−3−3−3−3333311111111-1-1-1-1-1-1-1-1−3−3−3−33333−3−3−3−3333300000000
χ2622222222-1-2-222-2-2-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111100000000-2-2-2-2222200000000−3−3−3−333333333−3−3−3−311111111-1-1-1-1-1-1-1-13333−3−3−3−33333−3−3−3−300000000
χ2722222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-12222-2-2-2-20000000000000000-1-1-1-1-1-1-1-1111111113333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−300000000
χ2822222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-12222-2-2-2-20000000000000000-1-1-1-1-1-1-1-111111111−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−3333300000000
χ2922222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−3333300000000
χ3022222222-1-2-2-2-222-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-2-2-2-22222000000000000000011111111-1-1-1-1-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−300000000
χ31222-2-2-22-2200002-200002-222-2-22-2-20000000022-2-20000000022-2-200002i2i−2i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2000000002i2i−2i−2i2i2i−2i−2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−200000000
χ32222-2-2-22-2200002-200002-222-2-22-2-20000000022-2-20000000022-2-200002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222000000002i2i−2i−2i2i2i−2i−2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−22200000000
χ33222-2-2-22-2200002-200002-222-2-22-2-20000000022-2-20000000022-2-20000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000−2i−2i2i2i−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−22200000000
χ34222-2-2-22-2200002-200002-222-2-22-2-20000000022-2-20000000022-2-20000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−200000000−2i−2i2i2i−2i−2i2i2ii2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−200000000
χ35222-2-2-22-220000-220000-2222-2-22-2-200000000-2-22200000000-2-2222i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−2222i2i−2i−2i2i2i−2i−2i00000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2−222−2−22200000000
χ36222-2-2-22-220000-220000-2222-2-22-2-200000000-2-22200000000-2-2222i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−22i2i−2i−2i2i2i−2i−2i00000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2−2−222−2−22222−2−222−2−200000000
χ37222-2-2-22-220000-220000-2222-2-22-2-200000000-2-22200000000-2-222−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−2i−2i2i2i−2i−2i2i2i00000000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−2−222−2−22222−2−222−2−200000000
χ38222-2-2-22-220000-220000-2222-2-22-2-200000000-2-22200000000-2-222−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222−2i−2i2i2i−2i−2i2i2i00000000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222−2−222−2−2−2−222−2−22200000000
χ39222-2-2-22-2-100002-200002-2-1-111-11133−3−333−3−3-1-11133−3−333−3−3-1-11100002i2i−2i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2−i3−i3i3i3i3i3−i3−i3−i−iii−i−iiiζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ40222-2-2-22-2-100002-200002-2-1-111-11133−3−333−3−3-1-11133−3−333−3−3-1-11100002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222−i3−i3i3i3i3i3−i3−i3−i−iii−i−iii−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ41222-2-2-22-2-100002-200002-2-1-111-11133−3−333−3−3-1-11133−3−333−3−3-1-1110000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−iζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ42222-2-2-22-2-100002-200002-2-1-111-11133−3−333−3−3-1-11133−3−333−3−3-1-1110000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2i3i3−i3−i3−i3−i3i3i3ii−i−iii−i−i−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ43222-2-2-22-2-100002-200002-2-1-111-111−3−333−3−333-1-111−3−333−3−333-1-11100002i2i−2i−2i−i2−i2i2i2−i2−i2i2i222−2−222−2−2i3i3−i3−i3−i3−i3i3i3−i−iii−i−iiiζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ44222-2-2-22-2-100002-200002-2-1-111-111−3−333−3−333-1-111−3−333−3−333-1-11100002i2i−2i−2ii2i2−i2−i2i2i2−i2−i2−2−222−2−222i3i3−i3−i3−i3−i3i3i3−i−iii−i−iii−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
χ45222-2-2-22-2-100002-200002-2-1-111-111−3−333−3−333-1-111−3−333−3−333-1-1110000−2i−2i2i2i−i2−i2i2i2−i2−i2i2i2−2−222−2−222−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−iζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
χ46222-2-2-22-2-100002-200002-2-1-111-111−3−333−3−333-1-111−3−333−3−333-1-1110000−2i−2i2i2ii2i2−i2−i2i2i2−i2−i222−2−222−2−2−i3−i3i3i3i3i3−i3−i3ii−i−iii−i−i−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ47222-2-2-22-2-10000-220000-22-1-111-11133−3−3−3−33311-1-133−3−3−3−33311-1-12i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i−iii−i−iiii3i3−i3−i3−i3−i3i3i3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ48222-2-2-22-2-10000-220000-22-1-111-11133−3−3−3−33311-1-133−3−3−3−33311-1-12i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i−iii−i−iiii3i3−i3−i3−i3−i3i3i3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ49222-2-2-22-2-10000-220000-22-1-111-11133−3−3−3−33311-1-133−3−3−3−33311-1-1−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2ii−i−iii−i−i−i3−i3i3i3i3i3−i3−i3ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2300000000
χ50222-2-2-22-2-10000-220000-22-1-111-11133−3−3−3−33311-1-133−3−3−3−33311-1-1−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222ii−i−iii−i−i−i3−i3i3i3i3i3−i3−i3−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000
χ51222-2-2-22-2-10000-220000-22-1-111-111−3−33333−3−311-1-1−3−33333−3−311-1-12i2i−2i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i−iii−i−iii−i3−i3i3i3i3i3−i3−i3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
χ52222-2-2-22-2-10000-220000-22-1-111-111−3−33333−3−311-1-1−3−33333−3−311-1-12i2i−2i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i−iii−i−iii−i3−i3i3i3i3i3−i3−i3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ53222-2-2-22-2-10000-220000-22-1-111-111−3−33333−3−311-1-1−3−33333−3−311-1-1−2i−2i2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2ii−i−iii−i−ii3i3−i3−i3−i3−i3i3i3ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ700000000
χ54222-2-2-22-2-10000-220000-22-1-111-111−3−33333−3−311-1-1−3−33333−3−311-1-1−2i−2i2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222ii−i−iii−i−ii3i3−i3−i3−i3−i3i3i3−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ700000000
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χ6322-22-2-2-22-1002-200002-200-11-111-113−33−3-11-113−33−33−33−3-11-113−33−3−i2i2−i2i2−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−33−333−33−3-11-11-11-11ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
χ6422-22-2-2-22-1002-200002-200-11-111-113−33−3-11-113−33−33−33−3-11-113−33−3−i2i2−i2i2−i2i2−i2i20000-22-22i2−i2i2−i2i2−i2i2−i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ73−33−3−33−331-11-11-11-1−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ6522-22-2-2-22-1002-200002-200-11-111-113−33−3-11-113−33−33−33−3-11-113−33−3i2−i2i2−i2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−33−333−33−3-11-11-11-11−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ6622-22-2-2-22-1002-200002-200-11-111-113−33−3-11-113−33−33−33−3-11-113−33−3i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ73−33−3−33−331-11-11-11-1ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
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χ6922-22-2-2-22-1002-200002-200-11-111-11−33−33-11-11−33−33−33−33-11-11−33−33i2−i2i2−i2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ233−33−3−33−33-11-11-11-11−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300000000
χ7022-22-2-2-22-1002-200002-200-11-111-11−33−33-11-11−33−33−33−33-11-11−33−33i2−i2i2−i2i2−i2i2−i20000-22-22−i2i2−i2i2−i2i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−33−333−33−31-11-11-11-1ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300000000
χ7122-22-2-2-22-100-220000-2200-11-111-113−33−31-11-1−33−333−33−31-11-1−33−33−i2i2−i2i2i2−i2i2−i22-22-20000−i2i2−i2i2i2−i2i2−i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-11-11-11-113−33−3−33−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
χ7222-22-2-2-22-100-220000-2200-11-111-113−33−31-11-1−33−333−33−31-11-1−33−33−i2i2−i2i2i2−i2i2−i2-22-220000i2−i2i2−i2−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ231-11-11-11-1−33−333−33−3−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700000000
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χ7422-22-2-2-22-100-220000-2200-11-111-113−33−31-11-1−33−333−33−31-11-1−33−33i2−i2i2−i2−i2i2−i2i2-22-220000−i2i2−i2i2i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ231-11-11-11-1−33−333−33−3ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700000000
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χ1254-4-44-444-4-200004-40000-4422-2-2-2222323−23−232323−23−23-2-222−23−232323−23−23232322-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1264-4-44-444-4-200004-40000-4422-2-2-222−23−232323−23−232323-2-2222323−23−232323−23−2322-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-4-44-444-4-20000-4400004-422-2-2-2222323−23−23−23−23232322-2-2−23−2323232323−23−23-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-4-44-444-4-20000-4400004-422-2-2-222−23−2323232323−23−2322-2-22323−23−23−23−232323-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-4-4-44-444-2444444-4-4-4-4-4-42222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222222200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-4-44-444-244-4-4-4-4-4-444442222-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-4-44-444-2-4-444-4-444-4-4442222-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-44-444-2-4-4-4-4444444-4-42222-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000000000000000000000000000

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