Finite Group Databasebeta

← Group #11792562

Character table — Group #11792562

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121224242424242424242424242472727272
order12222222334444666666666666661212121212121212344446666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121288888888242424242424242424242424242424242222666666664444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1
χ92222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-2222-2-22222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222222-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000000000
χ11222222222-122222222-1-1-1-1222-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-10000
χ12222222222-122222222-1-1-1-1222-1-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2111111110000
χ13222222222-122222222-1-1-1-1222-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-1111111111111111100000000000000000000000022-2-2-1-1-1-111110000
χ14222222222-122222222-1-1-1-1222-1-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000-2-2221111-1-1-1-10000
χ15222222222-1-2-2-2-22222-1-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ16222222222-1-2-2-2-22222-1-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-111112222-1-1-1-1-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ17222222222-1-2-2-2-22222-1-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ18222222222-1-2-2-2-22222-1-1-1-1222-1-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-2-2-2-211112222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ1922222222-122222-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2022222222-122222-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ2122222222-122222-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ2222222222-122222-1-1-1-12222-1-1-1222-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-122221111-2-2-2-21111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-12-2-2-2-2-1-1-1-12222-1-1-122211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000003333−3−3−3−33333−3−3−3−30000000000000000
χ2422222222-12-2-2-2-2-1-1-1-12222-1-1-122211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-2-1-1-1-122221111-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000−3−3−3−33333−3−3−3−333330000000000000000
χ2522222222-12-2-2-2-2-1-1-1-12222-1-1-122211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-1000000003333−3−3−3−3−3−3−3−333330000000000000000
χ2622222222-12-2-2-2-2-1-1-1-12222-1-1-122211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-1-1-1-122221111111111111111-1-1-1-1-1-1-1-100000000−3−3−3−333333333−3−3−3−30000000000000000
χ27222-22-2-2-222000022-2-222-2-22-2-22-2-2000000002002-222-2-22-2-200000000000022-2-222-2-200000000000000002222-2-2-2-2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ28222-22-2-2-222000022-2-222-2-22-2-22-2-2000000002002-222-2-22-2-200000000000022-2-222-2-200000000000000002222-2-2-2-2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ29222-22-2-2-222000022-2-222-2-22-2-22-2-200000000200-2222-2-22-2-2000000000000-2-222-2-2220000000000000000-2-2-2-22222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ30222-22-2-2-222000022-2-222-2-22-2-22-2-200000000200-2222-2-22-2-2000000000000-2-222-2-2220000000000000000-2-2-2-22222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
χ31222-22-2-2-2-120000-1-11122-2-2-1112-2-233−3−333−3−3-1002-2-1-111-111000033−3−30000-1-11122-2-23333−3−3−3−33333−3−3−3−3-1-1-1-11111−i2−i2i2i2−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ32222-22-2-2-2-120000-1-11122-2-2-1112-2-233−3−333−3−3-1002-2-1-111-111000033−3−30000-1-11122-2-23333−3−3−3−33333−3−3−3−3-1-1-1-11111i2i2−i2−i2i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ33222-22-2-2-2-120000-1-11122-2-2-1112-2-233−3−333−3−3-100-22-1-111-1110000−3−333000011-1-1-2-2223333−3−3−3−3−3−3−3−333331111-1-1-1-1−i2−i2i2i2i2i2−i2−i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ70000000000000000
χ34222-22-2-2-2-120000-1-11122-2-2-1112-2-233−3−333−3−3-100-22-1-111-1110000−3−333000011-1-1-2-2223333−3−3−3−3−3−3−3−333331111-1-1-1-1i2i2−i2−i2−i2−i2i2i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ70000000000000000
χ35222-22-2-2-2-120000-1-11122-2-2-1112-2-2−3−333−3−333-1002-2-1-111-1110000−3−3330000-1-11122-2-2−3−3−3−33333−3−3−3−33333-1-1-1-11111−i2−i2i2i2−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ36222-22-2-2-2-120000-1-11122-2-2-1112-2-2−3−333−3−333-1002-2-1-111-1110000−3−3330000-1-11122-2-2−3−3−3−33333−3−3−3−33333-1-1-1-11111i2i2−i2−i2i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ37222-22-2-2-2-120000-1-11122-2-2-1112-2-2−3−333−3−333-100-22-1-111-111000033−3−3000011-1-1-2-222−3−3−3−333333333−3−3−3−31111-1-1-1-1−i2−i2i2i2i2i2−i2−i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ230000000000000000
χ38222-22-2-2-2-120000-1-11122-2-2-1112-2-2−3−333−3−333-100-22-1-111-111000033−3−3000011-1-1-2-222−3−3−3−333333333−3−3−3−31111-1-1-1-1i2i2−i2−i2−i2−i2i2i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ230000000000000000
χ3922-22-22-2-22200002-22-22-22-2-22-2-22-20000000022-2002-22-2-22-200002-22-222-2-2000000000000000022-2-222-2-200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4022-22-22-2-22200002-22-22-22-2-22-2-22-20000000022-2002-22-2-22-200002-22-222-2-2000000000000000022-2-222-2-200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4122-22-22-2-22200002-22-22-22-2-22-2-22-2000000002-22002-22-2-22-20000-22-22-2-2220000000000000000-2-222-2-22200000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ4222-22-22-2-22200002-22-22-22-2-22-2-22-2000000002-22002-22-2-22-20000-22-22-2-2220000000000000000-2-222-2-22200000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ4322-22-22-2-2-120000-11-112-22-21-11-22-23−33−33−33−3-12-200-11-111-110000-11-1122-2-23−33−3000033−3−333−3−3-1-111-1-11133−3−333−3−3−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−ζ230000000000000000
χ4422-22-22-2-2-120000-11-112-22-21-11-22-23−33−33−33−3-12-200-11-111-110000-11-1122-2-23−33−3000033−3−333−3−3-1-111-1-11133−3−333−3−3i2−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+ζ230000000000000000
χ4522-22-22-2-2-120000-11-112-22-21-11-22-23−33−33−33−3-1-2200-11-111-1100001-11-1-2-222−33−33000033−3−333−3−311-1-111-1-1−3−333−3−333−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+ζ230000000000000000
χ4622-22-22-2-2-120000-11-112-22-21-11-22-23−33−33−33−3-1-2200-11-111-1100001-11-1-2-222−33−33000033−3−333−3−311-1-111-1-1−3−333−3−333i2−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−ζ230000000000000000
χ4722-22-22-2-2-120000-11-112-22-21-11-22-2−33−33−33−33-12-200-11-111-110000-11-1122-2-2−33−330000−3−333−3−333-1-111-1-111−3−333−3−333−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−ζ70000000000000000
χ4822-22-22-2-2-120000-11-112-22-21-11-22-2−33−33−33−33-12-200-11-111-110000-11-1122-2-2−33−330000−3−333−3−333-1-111-1-111−3−333−3−333i2−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+ζ70000000000000000
χ4922-22-22-2-2-120000-11-112-22-21-11-22-2−33−33−33−33-1-2200-11-111-1100001-11-1-2-2223−33−30000−3−333−3−33311-1-111-1-133−3−333−3−3−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+ζ70000000000000000
χ5022-22-22-2-2-120000-11-112-22-21-11-22-2−33−33−33−33-1-2200-11-111-1100001-11-1-2-2223−33−30000−3−333−3−33311-1-111-1-133−3−333−3−3i2−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−ζ70000000000000000
χ5122-2-2-2-222222-22-22-2-222-2-22-2-22-2-222-2-222-2-22200002-2-22-2-2222-2-2000000000000000022-2-2-2-22200000000000000002-2-2200002-2-222-2-22000000000000000000000000
χ5222-2-2-2-222222-22-22-2-222-2-22-2-22-2-222-2-222-2-22200002-2-22-2-2222-2-2000000000000000022-2-2-2-2220000000000000000-222-20000-222-2-222-2000000000000000000000000
χ5322-2-2-2-22222-22-222-2-222-2-22-2-22-2-22-222-2-222-2200002-2-22-2-22-2-2220000000000000000-2-22222-2-2000000000000000000002-2-22000000002-2-222-2-220000000000000000
χ5422-2-2-2-22222-22-222-2-222-2-22-2-22-2-22-222-2-222-2200002-2-22-2-22-2-2220000000000000000-2-22222-2-200000000000000000000-222-200000000-222-2-222-20000000000000000
χ5522-2-2-2-222-122-22-2-111-12-2-2211-1-2-22-111-1-111-1-10000-111-111-122-2-23−3−330000−333−30000-1-11111-1-133−3−3−3−333−3−33333−3−32-2-220000-111-1-111-13−3−33−333−30000000000000000
χ5622-2-2-2-222-122-22-2-111-12-2-2211-1-2-22-111-1-111-1-10000-111-111-122-2-23−3−330000−333−30000-1-11111-1-133−3−3−3−333−3−33333−3−3-222-200001-1-111-1-11−333−33−3−330000000000000000
χ5722-2-2-2-222-122-22-2-111-12-2-2211-1-2-22-111-1-111-1-10000-111-111-122-2-2−333−300003−3−330000-1-11111-1-1−3−33333−3−333−3−3−3−3332-2-220000-111-1-111-1−333−33−3−330000000000000000
χ5822-2-2-2-222-122-22-2-111-12-2-2211-1-2-22-111-1-111-1-10000-111-111-122-2-2−333−300003−3−330000-1-11111-1-1−3−33333−3−333−3−3−3−333-222-200001-1-111-1-113−3−33−333−30000000000000000
χ5922-2-2-2-222-12-22-22-111-12-2-2211-1-2-221-1-111-1-11-10000-111-111-1-2-2223−3−3300003−3−33000011-1-1-1-11133−3−3−3−33333−3−3−3−33300002-2-22−333−33−3−33-111-1-111-10000000000000000
χ6022-2-2-2-222-12-22-22-111-12-2-2211-1-2-221-1-111-1-11-10000-111-111-1-2-2223−3−3300003−3−33000011-1-1-1-11133−3−3−3−33333−3−3−3−3330000-222-23−3−33−333−31-1-111-1-110000000000000000
χ6122-2-2-2-222-12-22-22-111-12-2-2211-1-2-221-1-111-1-11-10000-111-111-1-2-222−333−30000−333−3000011-1-1-1-111−3−33333−3−3−3−33333−3−300002-2-223−3−33−333−3-111-1-111-10000000000000000
χ6222-2-2-2-222-12-22-22-111-12-2-2211-1-2-221-1-111-1-11-10000-111-111-1-2-222−333−30000−333−3000011-1-1-1-111−3−33333−3−3−3−33333−3−30000-222-2−333−33−3−331-1-111-1-110000000000000000
χ632-222-2-2-222222-2-2-222-2-222-2-2-22-2-222222-2-2-2-220000-222-2-2-222-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000002i−2i00
χ642-222-2-2-222222-2-2-222-2-222-2-2-22-2-222222-2-2-2-220000-222-2-2-222-22-200000000000000002-22-22-22-20000000000000000000000000000000000000000000000000000−2i2i00
χ652-222-2-2-2222-2-222-222-2-222-2-2-22-2-22-2-2-2-2222220000-222-2-2-22-22-220000000000000000-22-22-22-220000000000000000000000000000000000000000000000000000002-2
χ662-222-2-2-2222-2-222-222-2-222-2-2-22-2-22-2-2-2-2222220000-222-2-2-22-22-220000000000000000-22-22-22-22000000000000000000000000000000000000000000000000000000-22
χ672-2-2-222-22222-2-22-2-2-2-2-2-2-2-22222222-2-22-222-220000-2-2-2-22222-2-2200000000000000002-2-22-222-200000000000000000000000000000000000000002-2002-22-200000000
χ682-2-2-222-22222-2-22-2-2-2-2-2-2-2-22222222-2-22-222-220000-2-2-2-22222-2-2200000000000000002-2-22-222-20000000000000000000000000000000000000000-2200-22-2200000000
χ692-2-2-222-2222-222-2-2-2-2-2-2-2-2-2222222-222-22-2-2220000-2-2-2-2222-222-20000000000000000-222-22-2-220000000000000000000000000000000000000000002-200002-22-20000
χ702-2-2-222-2222-222-2-2-2-2-2-2-2-2-2222222-222-22-2-2220000-2-2-2-2222-222-20000000000000000-222-22-2-22000000000000000000000000000000000000000000-220000-22-220000
χ712-2-2-222-222-12-2-22-2-2-2-21111222-1-1-12-2-22-222-2-100001111-1-1-1-111-10000−i3i3−i3i30000−i3i3−i3i3-111-11-1-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000000002-200-11-11−i3i3i3−i30000
χ722-2-2-222-222-12-2-22-2-2-2-21111222-1-1-12-2-22-222-2-100001111-1-1-1-111-10000−i3i3−i3i30000−i3i3−i3i3-111-11-1-11−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000-22001-11-1i3−i3−i3i30000
χ732-2-2-222-222-12-2-22-2-2-2-21111222-1-1-12-2-22-222-2-100001111-1-1-1-111-10000i3−i3i3−i30000i3−i3i3−i3-111-11-1-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000000002-200-11-11i3−i3−i3i30000
χ742-2-2-222-222-12-2-22-2-2-2-21111222-1-1-12-2-22-222-2-100001111-1-1-1-111-10000i3−i3i3−i30000i3−i3i3−i3-111-11-1-11i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000-22001-11-1−i3i3i3−i30000
χ752-2-2-222-222-1-222-2-2-2-2-21111222-1-1-1-222-22-2-22-100001111-1-1-11-1-110000−i3i3−i3i30000i3−i3i3−i31-1-11-111-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000002-2−i3i3i3−i3-11-110000
χ762-2-2-222-222-1-222-2-2-2-2-21111222-1-1-1-222-22-2-22-100001111-1-1-11-1-110000−i3i3−i3i30000i3−i3i3−i31-1-11-111-1−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i300000000000000000000000000-22i3−i3−i3i31-11-10000
χ772-2-2-222-222-1-222-2-2-2-2-21111222-1-1-1-222-22-2-22-100001111-1-1-11-1-110000i3−i3i3−i30000−i3i3−i3i31-1-11-111-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000002-2i3−i3−i3i3-11-110000
χ782-2-2-222-222-1-222-2-2-2-2-21111222-1-1-1-222-22-2-22-100001111-1-1-11-1-110000i3−i3i3−i30000−i3i3−i3i31-1-11-111-1i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i300000000000000000000000000-22−i3i3i3−i31-11-10000
χ7944444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111111111110000000000000000000000000000000000000000
χ8044444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111-2-2-2-2222222222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8144444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222144-4-411111112222-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ8244444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222221-4-4441111111222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000
χ83444-44-4-4-44-2000044-4-4-2-2224-4-4-22200000000-2004-4-2-222-22200000000000044-4-4-2-2220000000000000000-2-2-2-222220000000000000000000000000000000000000000
χ84444-44-4-4-44-2000044-4-4-2-2224-4-4-22200000000-200-44-2-222-222000000000000-4-44422-2-200000000000000002222-2-2-2-20000000000000000000000000000000000000000
χ85444-44-4-4-4-2-20000-2-222-2-222-222-2222323−23−232323−23−231004-411-1-11-1-100002323−23−230000-2-222-2-222−3−3−3−33333−3−3−3−333331111-1-1-1-10000000000000000000000000000000000000000
χ86444-44-4-4-4-2-20000-2-222-2-222-222-2222323−23−232323−23−23100-4411-1-11-1-10000−23−232323000022-2-222-2-2−3−3−3−333333333−3−3−3−3-1-1-1-111110000000000000000000000000000000000000000
χ87444-44-4-4-4-2-20000-2-222-2-222-222-222−23−232323−23−2323231004-411-1-11-1-10000−23−2323230000-2-222-2-2223333−3−3−3−33333−3−3−3−31111-1-1-1-10000000000000000000000000000000000000000
χ88444-44-4-4-4-2-20000-2-222-2-222-222-222−23−232323−23−232323100-4411-1-11-1-100002323−23−23000022-2-222-2-23333−3−3−3−3−3−3−3−33333-1-1-1-111110000000000000000000000000000000000000000
χ8944-44-44-4-44-200004-44-4-22-22-44-42-2200000000-24-400-22-222-2200004-44-4-2-2220000000000000000-2-222-2-222000000000000000000000000000000000000000000000000
χ9044-44-44-4-44-200004-44-4-22-22-44-42-2200000000-2-4400-22-222-220000-44-4422-2-2000000000000000022-2-222-2-2000000000000000000000000000000000000000000000000
χ9144-44-44-4-4-2-20000-22-22-22-222-222-2223−2323−2323−2323−2314-4001-11-1-11-10000-22-22-2-22223−2323−230000−3−333−3−33311-1-111-1-1−3−333−3−3330000000000000000000000000000000000000000
χ9244-44-44-4-4-2-20000-22-22-22-222-222-2223−2323−2323−2323−231-44001-11-1-11-100002-22-222-2-2−2323−23230000−3−333−3−333-1-111-1-11133−3−333−3−30000000000000000000000000000000000000000
χ9344-44-44-4-4-2-20000-22-22-22-222-222-22−2323−2323−2323−232314-4001-11-1-11-10000-22-22-2-222−2323−2323000033−3−333−3−311-1-111-1-133−3−333−3−30000000000000000000000000000000000000000
χ9444-44-44-4-4-2-20000-22-22-22-222-222-22−2323−2323−2323−23231-44001-11-1-11-100002-22-222-2-223−2323−23000033−3−333−3−3-1-111-1-111−3−333−3−3330000000000000000000000000000000000000000
χ9544-4-4-4-4444-24-44-44-4-44-222-2-4-4422-24-4-444-4-44-20000-222-222-2-2-2220000000000000000-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ9644-4-4-4-4444-2-44-444-4-44-222-2-4-4422-2-444-4-444-4-20000-222-222-222-2-2000000000000000022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ9744-4-4-4-444-2-24-44-4-222-2-222-222-222-2-222-2-222-2100001-1-11-1-11-2-22223−23−23230000−232323−23000011-1-1-1-111−3−33333−3−333−3−3−3−3330000000000000000000000000000000000000000
χ9844-4-4-4-444-2-24-44-4-222-2-222-222-222-2-222-2-222-2100001-1-11-1-11-2-222−232323−23000023−23−2323000011-1-1-1-11133−3−3−3−333−3−33333−3−30000000000000000000000000000000000000000
χ9944-4-4-4-444-2-2-44-44-222-2-222-222-222-22-2-222-2-22100001-1-11-1-1122-2-223−23−2323000023−23−23230000-1-11111-1-1−3−33333−3−3−3−33333−3−30000000000000000000000000000000000000000
χ10044-4-4-4-444-2-2-44-44-222-2-222-222-222-22-2-222-2-22100001-1-11-1-1122-2-2−232323−230000−232323−230000-1-11111-1-133−3−3−3−33333−3−3−3−3330000000000000000000000000000000000000000
χ1014-444-4-4-444-244-4-4-444-42-2-22-4-4422-24444-4-4-4-4-200002-2-2222-2-22-220000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1024-444-4-4-444-2-4-444-444-42-2-22-4-4422-2-4-4-4-44444-200002-2-2222-22-22-200000000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1034-444-4-4-44-2444-4-42-2-22-444-422-2-4-44-2-2-2-22222-200002-2-2222-24-44-40000000000000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ1044-444-4-4-44-24-4-4442-2-22-444-422-2-4-442222-2-2-2-2-200002-2-2222-2-44-4400000000000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ1054-444-4-4-44-2-244-4-42-2-222-2-2222-222-2-2-2-2-2222210000-111-1-1-11-22-2200000000000000001-11-11-11-13i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1064-444-4-4-44-2-244-4-42-2-222-2-2222-222-2-2-2-2-2222210000-111-1-1-11-22-2200000000000000001-11-11-11-1−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1074-444-4-4-44-2-2-4-4442-2-222-2-2222-222-22222-2-2-2-210000-111-1-1-112-22-20000000000000000-11-11-11-113i−3i−3i3i−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1084-444-4-4-44-2-2-4-4442-2-222-2-2222-222-22222-2-2-2-210000-111-1-1-112-22-20000000000000000-11-11-11-11−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1094-44-4-444-4440000-44-44-44-44-44-4-44-40000000040000-44-44-44-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-4-444-44-20000-44-442-22-2-44-42-2200000000-200002-22-22-2200000000−2i32i32i3−2i30000000000000000−2i32i32i3−2i3−2i32i32i3−2i3000000000000000000000000000000000000000000000000
χ1114-44-4-444-44-20000-44-442-22-2-44-42-2200000000-200002-22-22-22000000002i3−2i3−2i32i300000000000000002i3−2i3−2i32i32i3−2i3−2i32i3000000000000000000000000000000000000000000000000
χ1124-44-4-444-4-2400002-22-2-44-442-22-44-42323−23−23−23−232323-200002-22-22-220000000000000000000023−2323−23−2323−232300000000000000000000000000000000000000000000000000000000
χ1134-44-4-444-4-2400002-22-2-44-442-22-44-4−23−2323232323−23−23-200002-22-22-2200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000
χ1144-44-4-444-4-2-200002-22-22-22-22-222-222323−23−23−23−23232310000-11-11-11-100000000−2i32i32i3−2i300000000−33−333−33−3i3−i3−i3i3i3−i3−i3i3−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1154-44-4-444-4-2-200002-22-22-22-22-222-222323−23−23−23−23232310000-11-11-11-1000000002i3−2i3−2i32i300000000−33−333−33−3−i3i3i3−i3−i3i3i3−i33i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1164-44-4-444-4-2-200002-22-22-22-22-222-22−23−2323232323−23−2310000-11-11-11-100000000−2i32i32i3−2i3000000003−33−3−33−33i3−i3−i3i3i3−i3−i3i33i−3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ1174-44-4-444-4-2-200002-22-22-22-22-222-22−23−2323232323−23−2310000-11-11-11-1000000002i3−2i3−2i32i3000000003−33−3−33−33−i3i3i3−i3−i3i3i3−i3−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ1184-4-444-44-4440000-4-444-4-4444-4-44-4-40000000040000-4-4444-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194-4-444-44-44-20000-4-44422-2-24-4-4-22200000000-2000022-2-2-2220000000000000000−2i32i32i3−2i30000000000000000−2i32i3−2i32i32i3−2i32i3−2i30000000000000000000000000000000000000000
χ1204-4-444-44-44-20000-4-44422-2-24-4-4-22200000000-2000022-2-2-22200000000000000002i3−2i3−2i32i300000000000000002i3−2i32i3−2i3−2i32i3−2i32i30000000000000000000000000000000000000000
χ1214-4-444-44-4-24000022-2-2-4-444-2224-4-423−2323−23−2323−2323-2000022-2-2-2220000000000000000000023−23−232323−23−232300000000000000000000000000000000000000000000000000000000
χ1224-4-444-44-4-24000022-2-2-4-444-2224-4-4−2323−232323−2323−23-2000022-2-2-22200000000000000000000−232323−23−232323−2300000000000000000000000000000000000000000000000000000000
χ1234-4-444-44-4-2-2000022-2-222-2-2-222-22223−2323−23−2323−232310000-1-1111-1-10000000000000000−2i32i32i3−2i3−333−3−333−3−3i3i−3i3i3i−3i3i−3ii3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000
χ1244-4-444-44-4-2-2000022-2-222-2-2-222-22223−2323−23−2323−232310000-1-1111-1-100000000000000002i3−2i3−2i32i3−333−3−333−33i−3i3i−3i−3i3i−3i3i−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000
χ1254-4-444-44-4-2-2000022-2-222-2-2-222-222−2323−232323−2323−2310000-1-1111-1-10000000000000000−2i32i32i3−2i33−3−333−3−333i−3i3i−3i−3i3i−3i3ii3−i3i3−i3−i3i3−i3i30000000000000000000000000000000000000000
χ1264-4-444-44-4-2-2000022-2-222-2-2-222-222−2323−232323−2323−2310000-1-1111-1-100000000000000002i3−2i3−2i32i33−3−333−3−33−3i3i−3i3i3i−3i3i−3i−i3i3−i3i3i3−i3i3−i30000000000000000000000000000000000000000
χ1274-4-4-444-44-244-4-442222-4-4-4-4-2-2-2444-222-22-2-22-200002222-2-2-24-4-440000000000000000-222-22-2-2200000000000000000000000000000000000000000000000000000000
χ1284-4-4-444-44-24-444-42222-4-4-4-4-2-2-24442-2-22-222-2-200002222-2-2-2-444-400000000000000002-2-22-222-200000000000000000000000000000000000000000000000000000000
χ1294-4-4-444-44-2-24-4-4422222222-2-2-2-2-2-2-222-22-2-2210000-1-1-1-1111-222-20000−2i32i3−2i32i30000−2i32i3−2i32i31-1-11-111-1i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000
χ1304-4-4-444-44-2-24-4-4422222222-2-2-2-2-2-2-222-22-2-2210000-1-1-1-1111-222-200002i3−2i32i3−2i300002i3−2i32i3−2i31-1-11-111-1−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1314-4-4-444-44-2-2-444-422222222-2-2-2-2-2-22-2-22-222-210000-1-1-1-11112-2-220000−2i32i3−2i32i300002i3−2i32i3−2i3-111-11-1-11i3−i3i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000
χ1324-4-4-444-44-2-2-444-422222222-2-2-2-2-2-22-2-22-222-210000-1-1-1-11112-2-2200002i3−2i32i3−2i30000−2i32i3−2i32i3-111-11-1-11−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000000000000000000000000000000000

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