Finite Group Databasebeta

← Group #13161839

Character table — Group #13161839

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111112222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444181818181818181818181818363636363636363636363636363636363636363636363636363636363636
order1222222233366666666666666666666633333446666666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444444444444444444121212121212121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ81111111111111111111111111111111111111-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ911-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-1111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i11-1-1ii−i−ii−i1-1i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1011-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-1111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-111−i−iiii−i-11−iiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ1111-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-1111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii11-1-1−i−iii−ii1-1−ii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ1211-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-1111111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-111ii−i−i−ii-11i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ1311-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-111111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111ii−i−i11-1-1ii−i−i−ii-11−iiii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ1411-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-111111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111ii−i−i-1-111−i−iii−ii1-1i−iii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ1511-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-111111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−iii11-1-1−i−iiii−i-11i−i−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ1611-11-1-11-111111111-1-1-1-1-1-1-1-1-1111-1-11-111111-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111−i−iii-1-111ii−i−ii−i1-1−ii−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ172222222222-12222-122222-1-1-1-122-122-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100002222000000220000000000-1-1-1-1-1-1-1-100000000
χ182222222222-12222-122222-1-1-1-122-122-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000-2-200000000001111111100000000
χ192222222222-12222-122222-1-1-1-122-122-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111111100002222000000-2-200000000001111-1-1-1-100000000
χ202222222222-12222-122222-1-1-1-122-122-122-1-1-1-1-2-222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-2-21111111111111111-2-2-2-211111111111111110000-2-2-2-2000000220000000000-1-1-1-1111100000000
χ21222222222-1222-1-12222-1-122222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-122-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200000000220000-1-1-1-1-1-1-1-10000000000000000
χ22222222222-1222-1-12222-1-122222-12-1-122-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-122-1-122-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200000000-2-20000111111110000000000000000
χ23222222222-1222-1-12222-1-122222-12-1-122-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-211-2-211-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111222200000000-2-20000-1-1-1-111110000000000000000
χ24222222222-1222-1-12222-1-122222-12-1-122-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-2-211-2-211-2-2-2-21111-2-2-2-21111111111111111-2-2-2-2111111111111-2-2-2-2000000002200001111-1-1-1-10000000000000000
χ2522222222-122-1-1222-1-1-1222222-122222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000022220000220000000000000000-1-1-1-1-1-1-1-1
χ2622222222-122-1-1222-1-1-1222222-122222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-1-1-122-1-1222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-20000-2-2000000000000000011111111
χ2722222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-211-2-2-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-2111111110000000022220000-2-20000000000000000-1-1-1-11111
χ2822222222-122-1-1222-1-1-1222222-122222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-111-2-211-2-2-2-2-2-211111111-2-2-2-21111111111111111-2-2-2-21111111100000000-2-2-2-200002200000000000000001111-1-1-1-1
χ29222-22-2-2-22222-22-2222-22-222-2-2-2-2-22-2-2-222222002-22-22-222-2-222-2-222-2-222-2-22222-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000002-22-2000000000000002-22-200000000000000000000
χ30222-22-2-2-22222-22-2222-22-222-2-2-2-2-22-2-2-222222002-22-22-222-2-222-2-222-2-222-2-22222-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000-22-2200000000000000-22-2200000000000000000000
χ31222-22-2-2-22-122-2-11222-2-1122-2-2-21-2-11-2-2-12-1-1-100-112-2-11-1-111-1-11122-2-2-1-111-1-1-1-111111-2111003−3003−3000033−3−3000033−3−33333−3−3−3−333−3−3000033−3−33333−3−3−3−32-22-200000000000000-11-113−33−30000000000000000
χ32222-22-2-2-22-122-2-11222-2-1122-2-2-21-2-11-2-2-12-1-1-100-112-2-11-1-111-1-11122-2-2-1-111-1-1-1-111111-2111003−3003−3000033−3−3000033−3−33333−3−3−3−333−3−3000033−3−33333−3−3−3−3-22-22000000000000001-11-1−33−330000000000000000
χ33222-22-2-2-22-122-2-11222-2-1122-2-2-21-2-11-2-2-12-1-1-100-112-2-11-1-111-1-11122-2-2-1-111-1-1-1-111111-211100−3300−330000−3−3330000−3−333−3−3−3−33333−3−3330000−3−333−3−3−3−333332-22-200000000000000-11-11−33−330000000000000000
χ34222-22-2-2-22-122-2-11222-2-1122-2-2-21-2-11-2-2-12-1-1-100-112-2-11-1-111-1-11122-2-2-1-111-1-1-1-111111-211100−3300−330000−3−3330000−3−333−3−3−3−33333−3−3330000−3−333−3−3−3−33333-22-22000000000000001-11-13−33−30000000000000000
χ3522-22-2-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1-1-12-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-2-2-2-2-1-1112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111000022-2-20000002-20000000000-1-111-1-11100000000
χ3622-22-2-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1-1-12-222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-12222-2-2-2-2-1-1112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111110000-2-222000000-22000000000011-1-111-1-100000000
χ3722-22-2-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1-1-1-2222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-2222211-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022-2-2000000-22000000000011-1-1-1-11100000000
χ3822-22-2-22-222-12222-1-2-2-2-2-2111122-1-2-2-1-22-1-1-1-1-2222-1-1-1-1-1-1-1-1-2-2-2-211111111111111112-1-1-1-1-2-2-2-2222211-1-1-2-2-2-211111111111111112222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2220000002-20000000000-1-11111-1-100000000
χ3922-22-2-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-12-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-1-2-21122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-21111111111112i2i−2i−2i000000002i−2i0000−i−iii−i−iii0000000000000000
χ4022-22-2-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-12-2-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-122-1-1-2-21122-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2111111111111−2i−2i2i2i00000000−2i2i0000ii−i−iii−i−i0000000000000000
χ4122-22-2-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-1-22-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-21122-1-1-2-2221111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12i2i−2i−2i00000000−2i2i0000−i−iiiii−i−i0000000000000000
χ4222-22-2-22-22-1222-1-12-2-2-211-2-2-2-22-12112-2-12-1-1-1-22-1-122-1-1-1-1-1-11111-2-2-2-2111111111111-12-1-1-1-2-21122-1-1-2-2221111-2-2-2-2111111111111-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−2i−2i2i2i000000002i−2i0000ii−i−i−i−iii0000000000000000
χ4322-22-2-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-12-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-12211-2-222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-211111111000000002i2i−2i−2i00002i−2i0000000000000000−i−iii−i−iii
χ4422-22-2-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-12-2-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-1-1-12211-2-222-2-2-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-111111111-2-2-2-21111111100000000−2i−2i2i2i0000−2i2i0000000000000000ii−i−iii−i−i
χ4522-22-2-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-1-22-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-1-122-2-22211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000002i2i−2i−2i0000−2i2i0000000000000000−i−iiiii−i−i
χ4622-22-2-22-2-122-1-1222111-2-2-2-2-2-2-122-2-221-1-12-1-1-22-1-1-1-122-1-1-1-111111111-2-2-2-211111111-1-12-1-111-2-2-1-122-2-22211111111-2-2-2-211111111-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000−2i−2i2i2i00002i−2i0000000000000000ii−i−i−i−iii
χ4722-2-2-22-222222-22-22-2-22-22-2-222-2-2-2-22-2222222002-22-22-222-2-2-2-222-2-222-2-222-2-2-2-22222-2-2-2-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i000000000000002i−2i−2i2i00000000000000000000
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χ1384-44-4-444-4-24-222-4-42-22-24-4-222-2-242-44-22-21-2110022-1-122-1-1-1-1-222-21-1-11-222-211-1-1-1-111-21-2112i3−2i3002i3−2i30000002i3−2i32i3−2i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1394-44-4-444-4-2-242222-4-22-2-224-4-44-2-2-42-2421-2-21100-1-12222-1-1-1-11-1-11-222-2-222-211-1-1-1-1111-2-211−2i32i300−2i32i3000000i3−i3i3−i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1404-44-4-444-4-2-242222-4-22-2-224-4-44-2-2-42-2421-2-21100-1-12222-1-1-1-11-1-11-222-2-222-211-1-1-1-1111-2-2112i3−2i3002i3−2i3000000−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1414-44-4-444-4-2-2-222222-22-2-22-222-2-2-222-2-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i321-1-111-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i32−2i32i300−2i32i3000000i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000
χ1424-44-4-444-4-2-2-222222-22-2-22-222-2-2-222-2-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i321-1-111-1-111-1-11−1−3i32−1+3i321+3i321−3i321+3i321−3i32−1−3i32−1+3i32111−1−3i32−1+3i322i3−2i3002i3−2i3000000−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1434-44-4-444-4-2-2-222222-22-2-22-222-2-2-222-2-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i321-1-111-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i32−2i32i300−2i32i3000000i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000
χ1444-44-4-444-4-2-2-222222-22-2-22-222-2-2-222-2-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i321-1-111-1-111-1-11−1+3i32−1−3i321−3i321+3i321−3i321+3i32−1+3i32−1−3i32111−1+3i32−1−3i322i3−2i3002i3−2i3000000−i3i3−i3i3−i3i3−i3i33-3-33−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32−i3i3−i3i3−i3i3−i3i33-3-33−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32000000000000000000000000000000000000000000
χ1454-4-4444-4-44-24-442-2-4-44422-44-44-424-2-2-4-4-24-2-2-2002-2-442-222-2-22-22-2-44-442-22-222-2-222-2-22-42220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1464-4-4444-4-44-2-2-442-22-444222-22-2-42-2-2-22-4-2-2111002-22-2-11-1-1112-22-22-22-2-11-11-1-111-1-11122-1-1-10000000023−23−232300002323−23−23−33−33−3−333−3−3330000−23−2323233−33−333−3−333−3−3000000000000000000000000000000000000000000
χ1474-4-4444-4-44-2-2-442-22-444222-22-2-42-2-2-22-4-2-2111002-22-2-11-1-1112-22-22-22-2-11-11-1-111-1-11122-1-1-100000000−232323−230000−23−2323233−33−333−3−333−3−300002323−23−23−33−33−3−333−3−333000000000000000000000000000000000000000000
χ1484-4-4444-4-4-2442-2-44-42-2-2-4-4-44-442-4444-42-2-24-2-2002-22-2-4422-2-22-22-22-22-2-44-4422-2-222-2-222-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1494-4-4444-4-4-24-22-2-4422-2-2-4-42-22-22-4-24422-21-211002-2-112-2-1-1112-22-2-11-112-22-2-1-111-1-1112-12-1-10000000023−23−23230000−3−33323−2323−23−3−333−3−333000033−3−3−2323−232333−3−333−3−3000000000000000000000000000000000000000000
χ1504-4-4444-4-4-24-22-2-4422-2-2-4-42-22-22-4-24422-21-211002-2-112-2-1-1112-22-2-11-112-22-2-1-111-1-1112-12-1-100000000−232323−23000033−3−3−2323−232333−3−333−3−30000−3−33323−2323−23−3−333−3−333000000000000000000000000000000000000000000
χ1514-4-4444-4-4-2-242-22-2-42-2-222-44-44224-2-2-421-2-21100-112-22-2-1-111-11-112-22-22-22-2-1-111-1-111-122-1-10000000000003i−3i−3i3i000000003i−3i3i−3i−3i3i−3i3i−3i3i3i−3i00000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000000000
χ1524-4-4444-4-4-2-242-22-2-42-2-222-44-44224-2-2-421-2-21100-112-22-2-1-111-11-112-22-22-22-2-1-111-1-111-122-1-1000000000000−3i3i3i−3i00000000−3i3i−3i3i3i−3i3i−3i3i−3i−3i3i000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000000000
χ1534-4-4444-4-4-2-2-22-22-222-2-2222-22-222-2-2-222111−1−3i32−1+3i3200-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-11-11-11-111+3i321−3i32−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i320000000023−23−23233i−3i−3i3i−3−333−33−33ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11−3i3i3i−3i33−3−33−33−3−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ11000000000000000000000000000000000000000000
χ1544-4-4444-4-4-2-2-22-22-222-2-2222-22-222-2-2-222111−1−3i32−1+3i3200-11-11-111+3i321−3i32−1−3i32−1+3i32-11-11-11-11-11-111+3i321−3i32−1−3i32−1+3i321+3i321−3i32−1−3i32−1+3i32-1-1-11+3i321−3i3200000000−232323−23−3i3i3i−3i33−3−33−33−3−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ112ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ113i−3i−3i3i−3−333−33−33ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11000000000000000000000000000000000000000000
χ1554-4-4444-4-4-2-2-22-22-222-2-2222-22-222-2-2-222111−1+3i32−1−3i3200-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-11-11-11-111−3i321+3i32−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i320000000023−23−2323−3i3i3i−3i−3−333−33−33−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ113i−3i−3i3i33−3−33−33−32ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11000000000000000000000000000000000000000000
χ1564-4-4444-4-4-2-2-22-22-222-2-2222-22-222-2-2-222111−1+3i32−1−3i3200-11-11-111−3i321+3i32−1+3i32−1−3i32-11-11-11-11-11-111−3i321+3i32−1+3i32−1−3i321−3i321+3i32−1+3i32−1−3i32-1-1-11−3i321+3i3200000000−232323−233i−3i−3i3i33−3−33−33−32ζ7+ζ11−ζ7−2ζ11ζ7+2ζ11−2ζ7−ζ11−ζ7−2ζ112ζ7+ζ11−2ζ7−ζ11ζ7+2ζ11−3i3i3i−3i−3−333−33−33−2ζ7−ζ11ζ7+2ζ11−ζ7−2ζ112ζ7+ζ11ζ7+2ζ11−2ζ7−ζ112ζ7+ζ11−ζ7−2ζ11000000000000000000000000000000000000000000
χ1574-4-4-44-44444-2-4-4-4-42-44-4-442-2-224424-4-244-2-2-2-200-4-422222222-444-42-2-222-2-2222-2-2-2-2224-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1584-4-4-44-4444-24-4-422-4-44-42-2-444-44-2-4-2244-24-2-2-20022-4-42222222-2-22-444-42-2-2222-2-2-2-222-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1594-4-4-44-4444-2-2-4-4222-44-42-22-2-224-22-22-24-2-2111002222-1-1-1-1-1-12-2-222-2-22-111-1-1-11111-1-1-2-2111000000000000000000003-3-3333-3-3-3-33300000000-333-3-3-33333-3-3000000000000000000000000000000000000000000
χ1604-4-4-44-4444-2-2-4-4222-44-42-22-2-224-22-22-24-2-2111002222-1-1-1-1-1-12-2-222-2-22-111-1-1-11111-1-1-2-211100000000000000000000-333-3-3-33333-3-3000000003-3-3333-3-3-3-333000000000000000000000000000000000000000000
χ1614-4-4-44-444-24-222-4-422-22-442-2-22-2424-4-2-2-21-2110022-1-122-1-1-1-12-2-22-111-12-2-22-1-11111-1-1-21-211−2i32i3002i3−2i3000000−2i32i3−2i32i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i32i3−2i32i3−2i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1624-4-4-44-444-24-222-4-422-22-442-2-22-2424-4-2-2-21-2110022-1-122-1-1-1-12-2-22-111-12-2-22-1-11111-1-1-21-2112i3−2i300−2i32i30000002i3−2i32i3−2i3−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3−2i32i3−2i32i3i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1634-4-4-44-444-2-242222-42-222-2-444-4-2-2-4-224-21-2-21100-1-12222-1-1-1-1-111-12-2-222-2-22-1-11111-1-11-2-211−2i32i3002i3−2i3000000i3−i3i3−i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000000000
χ1644-4-4-44-444-2-242222-42-222-2-444-4-2-2-4-224-21-2-21100-1-12222-1-1-1-1-111-12-2-222-2-22-1-11111-1-11-2-2112i3−2i300−2i32i3000000−i3i3−i3i32i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i3i3−i3i3−i3−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000000000
χ1654-4-4-44-444-2-2-2222222-222-22-2-22-2-22-22-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32-111-1-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i32−2i32i3002i3−2i3000000i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32000000000000000000000000000000000000000000
χ1664-4-4-44-444-2-2-2222222-222-22-2-22-2-22-22-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32-111-1-111-1-111-11+3i321−3i32−1−3i32−1+3i32−1−3i32−1+3i321+3i321−3i32111−1−3i32−1+3i322i3−2i300−2i32i3000000−i3i3−i3i3−i3i3−i3i3-333-33+i323−i32−3+i32−3−i32−3+i32−3−i323+i323−i32i3−i3i3−i3i3−i3i3−i33-3-33−3−i32−3+i323−i323+i323−i323+i32−3−i32−3+i32000000000000000000000000000000000000000000
χ1674-4-4-44-444-2-2-2222222-222-22-2-22-2-22-22-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32-111-1-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i32−2i32i3002i3−2i3000000i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32−i3i3−i3i3−i3i3−i3i33-3-33−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32000000000000000000000000000000000000000000
χ1684-4-4-44-444-2-2-2222222-222-22-2-22-2-22-22-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32-111-1-111-1-111-11−3i321+3i32−1+3i32−1−3i32−1+3i32−1−3i321−3i321+3i32111−1+3i32−1−3i322i3−2i300−2i32i3000000−i3i3−i3i3−i3i3−i3i33-3-33−3+i32−3−i323+i323−i323+i323−i32−3+i32−3−i32i3−i3i3−i3i3−i3i3−i3-333-33−i323+i32−3−i32−3+i32−3−i32−3+i323−i323+i32000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.