Finite Group Databasebeta

← Group #11775673

Character table — Group #11775673

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size1111222222222222222222224444444444444444444444444121212121212121212121212121212121212121212121212727211112222222222222222222244444444444444444444444441212121212121212121212121212121212121212121212127272
order1222334444666666121212121212121234666121212121212121212121212121212121212121288888888242424242424242424242424242424242422226644446666661212121212121212646661212121212121212121212121212121212121212888888882424242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ5111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1
χ6111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-11
χ7111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-11
χ8111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1
χ922222222-2-22222222222-2-2-2-22-2222-2-2-2-222-2-2-2-2-2-22222-2-2-2-20000000000000000000000000022222222-2-22222222222-2-2-2-22-2222-2-2-2-222-2-2-2-2-2-22222-2-2-2-200000000000000000000000000
χ10222222-2-222222222-2-2-2-222222-2222-2-2-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000222222-2-222222222-2-2-2-222222-2222-2-2-2-2-2-222-2-2-2-2-2-2-2-2222200000000000000000000000000
χ1122222-12222222-1-1-12222-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-10022222-12222222-1-1-12222-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100
χ1222222-12222222-1-1-12222-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000111111110022222-12222222-1-1-12222-1-1-1-1-12-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000001111111100
χ1322222-122-2-2222-1-1-122221111-1-2-1-1-1-2-211-1-1-2-21111-1-1-1-11111000000000000000033−3−333−3−30022222-122-2-2222-1-1-122221111-1-2-1-1-1-2-211-1-1-2-21111-1-1-1-11111000000000000000033−3−333−3−300
χ1422222-122-2-2222-1-1-122221111-1-2-1-1-1-2-211-1-1-2-21111-1-1-1-111110000000000000000−3−333−3−3330022222-122-2-2222-1-1-122221111-1-2-1-1-1-2-211-1-1-2-21111-1-1-1-111110000000000000000−3−333−3−33300
χ1522222-1-2-222222-1-1-1-2-2-2-2-1-1-1-1-1-2-1-1-1-2-211112211111111-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i30022222-1-2-222222-1-1-1-2-2-2-2-1-1-1-1-1-2-1-1-1-2-211112211111111-1-1-1-10000000000000000−i3−i3i3i3i3i3−i3−i300
χ1622222-1-2-222222-1-1-1-2-2-2-2-1-1-1-1-1-2-1-1-1-2-211112211111111-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i30022222-1-2-222222-1-1-1-2-2-2-2-1-1-1-1-1-2-1-1-1-2-211112211111111-1-1-1-10000000000000000i3i3−i3−i3−i3−i3i3i300
χ1722222-1-2-2-2-2222-1-1-1-2-2-2-21111-12-1-1-122-1-111-2-2-1-1-1-11111111100002i2i−2i−2i00000000−i−i−i−iiiii0022222-1-2-2-2-2222-1-1-1-2-2-2-21111-12-1-1-122-1-111-2-2-1-1-1-11111111100002i2i−2i−2i00000000−i−i−i−iiiii00
χ1822222-1-2-2-2-2222-1-1-1-2-2-2-21111-12-1-1-122-1-111-2-2-1-1-1-1111111110000−2i−2i2i2i00000000iiii−i−i−i−i0022222-1-2-2-2-2222-1-1-1-2-2-2-21111-12-1-1-122-1-111-2-2-1-1-1-1111111110000−2i−2i2i2i00000000iiii−i−i−i−i00
χ192222-122222-1-1-1222-1-1-1-12222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-100000000002222-122222-1-1-1222-1-1-1-12222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000000000
χ202222-122222-1-1-1222-1-1-1-12222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200001111111100000000002222-122222-1-1-1222-1-1-1-12222-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000000000
χ212222-1222-2-2-1-1-1222-1-1-1-1-2-2-2-2-1-2-1-1-111-2-222111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i300000000002222-1222-2-2-1-1-1222-1-1-1-1-2-2-2-2-1-2-1-1-111-2-222111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i30000000000
χ222222-1222-2-2-1-1-1222-1-1-1-1-2-2-2-2-1-2-1-1-111-2-222111111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i300000000002222-1222-2-2-1-1-1222-1-1-1-1-2-2-2-2-1-2-1-1-111-2-222111111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i30000000000
χ232222-12-2-222-1-1-122211112222-1-2-1-1-111-2-2-2-2-1-111111111-1-1-1-10000000033−3−3−3−33300000000002222-12-2-222-1-1-122211112222-1-2-1-1-111-2-2-2-2-1-111111111-1-1-1-10000000033−3−3−3−3330000000000
χ242222-12-2-222-1-1-122211112222-1-2-1-1-111-2-2-2-2-1-111111111-1-1-1-100000000−3−33333−3−300000000002222-12-2-222-1-1-122211112222-1-2-1-1-111-2-2-2-2-1-111111111-1-1-1-100000000−3−33333−3−30000000000
χ252222-12-2-2-2-2-1-1-12221111-2-2-2-2-12-1-1-1-1-122-2-211-1-1-1-1111111112i2i−2i−2i0000−i−i−i−iiiii00000000002222-12-2-2-2-2-1-1-12221111-2-2-2-2-12-1-1-1-1-122-2-211-1-1-1-1111111112i2i−2i−2i0000−i−i−i−iiiii0000000000
χ262222-12-2-2-2-2-1-1-12221111-2-2-2-2-12-1-1-1-1-122-2-211-1-1-1-111111111−2i−2i2i2i0000iiii−i−i−i−i00000000002222-12-2-2-2-2-1-1-12221111-2-2-2-2-12-1-1-1-1-122-2-211-1-1-1-111111111−2i−2i2i2i0000iiii−i−i−i−i0000000000
χ2722-2-222002i−2i2-2-22-2-200002i2i−2i−2i202-2-20000002i−2i000000002i2i−2i−2i1+i−1−i1−i−1+i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000022-2-222002i−2i2-2-22-2-200002i2i−2i−2i202-2-20000002i−2i000000002i2i−2i−2i1+i−1−i1−i−1+i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ2822-2-222002i−2i2-2-22-2-200002i2i−2i−2i202-2-20000002i−2i000000002i2i−2i−2i−1−i1+i−1+i1−i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000022-2-222002i−2i2-2-22-2-200002i2i−2i−2i202-2-20000002i−2i000000002i2i−2i−2i−1−i1+i−1+i1−i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ2922-2-22200−2i2i2-2-22-2-20000−2i−2i2i2i202-2-2000000−2i2i00000000−2i−2i2i2i1−i−1+i1+i−1−i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000022-2-22200−2i2i2-2-22-2-20000−2i−2i2i2i202-2-2000000−2i2i00000000−2i−2i2i2i1−i−1+i1+i−1−i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ3022-2-22200−2i2i2-2-22-2-20000−2i−2i2i2i202-2-2000000−2i2i00000000−2i−2i2i2i−1+i1−i−1−i1+i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000022-2-22200−2i2i2-2-22-2-20000−2i−2i2i2i202-2-2000000−2i2i00000000−2i−2i2i2i−1+i1−i−1−i1+i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ3122-2-2-12002i−2i-1112-2-2−i3−i3i3i32i2i−2i−2i-10-1113−30000−ii33−3−3−i3−i3i3i3−i−iii1+i−1−i1−i−1+i0000−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000022-2-2-12002i−2i-1112-2-2−i3−i3i3i32i2i−2i−2i-10-1113−30000−ii33−3−3−i3−i3i3i3−i−iii1+i−1−i1−i−1+i0000−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ110000000000
χ3222-2-2-12002i−2i-1112-2-2−i3−i3i3i32i2i−2i−2i-10-1113−30000−ii33−3−3−i3−i3i3i3−i−iii−1−i1+i−1+i1−i0000ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11000000000022-2-2-12002i−2i-1112-2-2−i3−i3i3i32i2i−2i−2i-10-1113−30000−ii33−3−3−i3−i3i3i3−i−iii−1−i1+i−1+i1−i0000ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ110000000000
χ3322-2-2-12002i−2i-1112-2-2i3i3−i3−i32i2i−2i−2i-10-111−330000−ii−3−333i3i3−i3−i3−i−iii1+i−1−i1−i−1+i0000−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000022-2-2-12002i−2i-1112-2-2i3i3−i3−i32i2i−2i−2i-10-111−330000−ii−3−333i3i3−i3−i3−i−iii1+i−1−i1−i−1+i0000−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ70000000000
χ3422-2-2-12002i−2i-1112-2-2i3i3−i3−i32i2i−2i−2i-10-111−330000−ii−3−333i3i3−i3−i3−i−iii−1−i1+i−1+i1−i0000ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7000000000022-2-2-12002i−2i-1112-2-2i3i3−i3−i32i2i−2i−2i-10-111−330000−ii−3−333i3i3−i3−i3−i−iii−1−i1+i−1+i1−i0000ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ70000000000
χ3522-2-2-1200−2i2i-1112-2-2−i3−i3i3i3−2i−2i2i2i-10-111−330000i−i−3−333−i3−i3i3i3ii−i−i1−i−1+i1+i−1−i0000−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11000000000022-2-2-1200−2i2i-1112-2-2−i3−i3i3i3−2i−2i2i2i-10-111−330000i−i−3−333−i3−i3i3i3ii−i−i1−i−1+i1+i−1−i0000−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ110000000000
χ3622-2-2-1200−2i2i-1112-2-2−i3−i3i3i3−2i−2i2i2i-10-111−330000i−i−3−333−i3−i3i3i3ii−i−i−1+i1−i−1−i1+i0000ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11000000000022-2-2-1200−2i2i-1112-2-2−i3−i3i3i3−2i−2i2i2i-10-111−330000i−i−3−333−i3−i3i3i3ii−i−i−1+i1−i−1−i1+i0000ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ110000000000
χ3722-2-2-1200−2i2i-1112-2-2i3i3−i3−i3−2i−2i2i2i-10-1113−30000i−i33−3−3i3i3−i3−i3ii−i−i1−i−1+i1+i−1−i0000−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7000000000022-2-2-1200−2i2i-1112-2-2i3i3−i3−i3−2i−2i2i2i-10-1113−30000i−i33−3−3i3i3−i3−i3ii−i−i1−i−1+i1+i−1−i0000−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ70000000000
χ3822-2-2-1200−2i2i-1112-2-2i3i3−i3−i3−2i−2i2i2i-10-1113−30000i−i33−3−3i3i3−i3−i3ii−i−i−1+i1−i−1−i1+i0000ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7000000000022-2-2-1200−2i2i-1112-2-2i3i3−i3−i3−2i−2i2i2i-10-1113−30000i−i33−3−3i3i3−i3−i3ii−i−i−1+i1−i−1−i1+i0000ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ70000000000
χ392-22-2222i−2i00-22-2-22-22i−2i2i−2i000020-22-200002i−2i0000002i−2i2i−2i000000001+i−1−i1−i−1+i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i002-22-2222i−2i00-22-2-22-22i−2i2i−2i000020-22-200002i−2i0000002i−2i2i−2i000000001+i−1−i1−i−1+i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ402-22-2222i−2i00-22-2-22-22i−2i2i−2i000020-22-200002i−2i0000002i−2i2i−2i00000000−1−i1+i−1+i1−i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002-22-2222i−2i00-22-2-22-22i−2i2i−2i000020-22-200002i−2i0000002i−2i2i−2i00000000−1−i1+i−1+i1−i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00
χ412-22-222−2i2i00-22-2-22-2−2i2i−2i2i000020-22-20000−2i2i000000−2i2i−2i2i000000001−i−1+i1+i−1−i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i002-22-222−2i2i00-22-2-22-2−2i2i−2i2i000020-22-20000−2i2i000000−2i2i−2i2i000000001−i−1+i1+i−1−i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ422-22-222−2i2i00-22-2-22-2−2i2i−2i2i000020-22-20000−2i2i000000−2i2i−2i2i00000000−1+i1−i−1−i1+i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i002-22-222−2i2i00-22-2-22-2−2i2i−2i2i000020-22-20000−2i2i000000−2i2i−2i2i00000000−1+i1−i−1−i1+i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ432-22-22-12i−2i00-22-21-112i−2i2i−2i−i3i3−i3i3-101-11003−3−ii003−33−3−ii−ii−i3i3−i3i300001+i−1−i1−i−1+i00000000−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7002-22-22-12i−2i00-22-21-112i−2i2i−2i−i3i3−i3i3-101-11003−3−ii003−33−3−ii−ii−i3i3−i3i300001+i−1−i1−i−1+i00000000−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700
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χ962222-1222-2-2-1-1-1222-1-1-1-1-2-2-2-2-1-2-1-1-111-2-222111111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i30000000000-2-2-2-21-2-2-222111-2-2-21111222212111-1-122-2-2-1-1-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i30000000000
χ972222-1222-2-2-1-1-1222-1-1-1-1-2-2-2-2-1-2-1-1-111-2-222111111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i30000000000-2-2-2-21-2-2-222111-2-2-21111222212111-1-122-2-2-1-1-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i30000000000
χ982222-12-2-222-1-1-122211112222-1-2-1-1-111-2-2-2-2-1-111111111-1-1-1-10000000033−3−3−3−3330000000000-2-2-2-21-222-2-2111-2-2-2-1-1-1-1-2-2-2-212111-1-1222211-1-1-1-1-1-1-1-1111100000000−3−33333−3−30000000000
χ992222-12-2-222-1-1-122211112222-1-2-1-1-111-2-2-2-2-1-111111111-1-1-1-100000000−3−33333−3−30000000000-2-2-2-21-222-2-2111-2-2-2-1-1-1-1-2-2-2-212111-1-1222211-1-1-1-1-1-1-1-111110000000033−3−3−3−3330000000000
χ1002222-12-2-2-2-2-1-1-12221111-2-2-2-2-12-1-1-1-1-122-2-211-1-1-1-1111111112i2i−2i−2i0000−i−i−i−iiiii0000000000-2-2-2-21-22222111-2-2-2-1-1-1-122221-211111-2-222-1-11111-1-1-1-1-1-1-1-1−2i−2i2i2i0000iiii−i−i−i−i0000000000
χ1012222-12-2-2-2-2-1-1-12221111-2-2-2-2-12-1-1-1-1-122-2-211-1-1-1-111111111−2i−2i2i2i0000iiii−i−i−i−i0000000000-2-2-2-21-22222111-2-2-2-1-1-1-122221-211111-2-222-1-11111-1-1-1-1-1-1-1-12i2i−2i−2i0000−i−i−i−iiiii0000000000
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χ10422-2-22200−2i2i2-2-22-2-20000−2i−2i2i2i202-2-2000000−2i2i00000000−2i−2i2i2i1−i−1+i1+i−1−i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000-2-222-2-2002i−2i-222-22200002i2i−2i−2i-20-2220000002i−2i000000002i2i−2i−2i−1+i1−i−1−i1+i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ10522-2-22200−2i2i2-2-22-2-20000−2i−2i2i2i202-2-2000000−2i2i00000000−2i−2i2i2i−1+i1−i−1−i1+i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000-2-222-2-2002i−2i-222-22200002i2i−2i−2i-20-2220000002i−2i000000002i2i−2i−2i1−i−1+i1+i−1−i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
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χ1152-22-2222i−2i00-22-2-22-22i−2i2i−2i000020-22-200002i−2i0000002i−2i2i−2i00000000−1−i1+i−1+i1−i00000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00-22-22-2-2−2i2i002-222-22−2i2i−2i2i0000-202-220000−2i2i000000−2i2i−2i2i000000001+i−1−i1−i−1+i000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00
χ1162-22-222−2i2i00-22-2-22-2−2i2i−2i2i000020-22-20000−2i2i000000−2i2i−2i2i000000001−i−1+i1+i−1−i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00-22-22-2-22i−2i002-222-222i−2i2i−2i0000-202-2200002i−2i0000002i−2i2i−2i00000000−1+i1−i−1−i1+i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00
χ1172-22-222−2i2i00-22-2-22-2−2i2i−2i2i000020-22-20000−2i2i000000−2i2i−2i2i00000000−1+i1−i−1−i1+i00000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00-22-22-2-22i−2i002-222-222i−2i2i−2i0000-202-2200002i−2i0000002i−2i2i−2i000000001−i−1+i1+i−1−i000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00
χ1182-22-22-12i−2i00-22-21-112i−2i2i−2i−i3i3−i3i3-101-11003−3−ii003−33−3−ii−ii−i3i3−i3i300001+i−1−i1−i−1+i00000000−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ700-22-22-21−2i2i002-22-11-1−2i2i−2i2ii3−i3i3−i310-11-100−33i−i00−33−33i−ii−ii3−i3i3−i30000−1−i1+i−1+i1−i00000000ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ700
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χ13444-4-4-2-200−4i4i-222-222−2i3−2i32i32i32i2i−2i−2i101-1-1−232300002i−2i33−3−3i3i3−i3−i3−i−iii00000000000000000000000000-4-44422004i−4i2-2-22-2-22i32i3−2i3−2i3−2i−2i2i2i-10-11123−230000−2i2i−3−333−i3−i3i3i3ii−i−i00000000000000000000000000
χ13544-4-4-2-200−4i4i-222-2222i32i3−2i3−2i32i2i−2i−2i101-1-123−2300002i−2i−3−333−i3−i3i3i3−i−iii00000000000000000000000000-4-44422004i−4i2-2-22-2-2−2i3−2i32i32i3−2i−2i2i2i-10-111−23230000−2i2i33−3−3i3i3−i3−i3ii−i−i00000000000000000000000000
χ1364-44-4-244i−4i002-22-44-4−2i2i−2i2i0000-202-2200004i−4i000000−2i2i−2i2i000000000000000000000000000000-44-442-4−4i4i00-22-24-442i−2i2i−2i000020-22-20000−4i4i0000002i−2i2i−2i000000000000000000000000000000
χ1374-44-4-24−4i4i002-22-44-42i−2i2i−2i0000-202-220000−4i4i0000002i−2i2i−2i000000000000000000000000000000-44-442-44i−4i00-22-24-44−2i2i−2i2i000020-22-200004i−4i000000−2i2i−2i2i000000000000000000000000000000
χ1384-44-4-2-24i−4i002-222-22−2i2i−2i2i−2i32i3−2i32i310-11-10023−23−2i2i00−33−33i−ii−ii3−i3i3−i300000000000000000000000000-44-4422−4i4i00-22-2-22-22i−2i2i−2i2i3−2i32i3−2i3-101-1100−23232i−2i003−33−3−ii−ii−i3i3−i3i300000000000000000000000000
χ1394-44-4-2-24i−4i002-222-22−2i2i−2i2i2i3−2i32i3−2i310-11-100−2323−2i2i003−33−3i−ii−i−i3i3−i3i300000000000000000000000000-44-4422−4i4i00-22-2-22-22i−2i2i−2i−2i32i3−2i32i3-101-110023−232i−2i00−33−33−ii−iii3−i3i3−i300000000000000000000000000
χ1404-44-4-2-2−4i4i002-222-222i−2i2i−2i−2i32i3−2i32i310-11-100−23232i−2i003−33−3−ii−iii3−i3i3−i300000000000000000000000000-44-44224i−4i00-22-2-22-2−2i2i−2i2i2i3−2i32i3−2i3-101-110023−23−2i2i00−33−33i−ii−i−i3i3−i3i300000000000000000000000000
χ1414-44-4-2-2−4i4i002-222-222i−2i2i−2i2i3−2i32i3−2i310-11-10023−232i−2i00−33−33−ii−ii−i3i3−i3i300000000000000000000000000-44-44224i−4i00-22-2-22-2−2i2i−2i2i−2i32i3−2i32i3-101-1100−2323−2i2i003−33−3i−ii−ii3−i3i3−i300000000000000000000000000
χ1424-4-44440000-4-44-4-440000000040-4-440000000000000000000000000000000000000000000000-444-4-4-4000044-444-400000000-4044-40000000000000000000000000000000000000000000000
χ1434-4-444-20000-4-4422-2000023−23−2323-2022-2000000000000000023−23−232300000000000000000000000000-444-4-42000044-4-2-220000−232323−2320-2-220000000000000000−232323−2300000000000000000000000000
χ1444-4-444-20000-4-4422-20000−232323−23-2022-20000000000000000−232323−2300000000000000000000000000-444-4-42000044-4-2-22000023−23−232320-2-22000000000000000023−23−232300000000000000000000000000
χ1454-4-44-24000022-2-4-4423−23−23230000-2022-200000000000023−23−2323000000000000000000000000000000-444-42-40000-2-2244-4−232323−23000020-2-22000000000000−232323−23000000000000000000000000000000
χ1464-4-44-24000022-2-4-44−232323−230000-2022-2000000000000−232323−23000000000000000000000000000000-444-42-40000-2-2244-423−23−2323000020-2-2200000000000023−23−2323000000000000000000000000000000
χ1474-4-44-2-2000022-222-223−23−232323−23−232310-1-11000000003-3-33−333−3−333−300000000000000000000000000-444-4220000-2-22-2-22−232323−23−232323−23-1011-100000000-333-33−3−333−3−3300000000000000000000000000
χ1484-4-44-2-2000022-222-223−23−2323−232323−2310-1-1100000000-333-3−333−33−3−3300000000000000000000000000-444-4220000-2-22-2-22−232323−2323−23−2323-1011-1000000003-3-333−3−33−333−300000000000000000000000000
χ1494-4-44-2-2000022-222-2−232323−2323−23−232310-1-1100000000-333-33−3−33−333−300000000000000000000000000-444-4220000-2-22-2-2223−23−2323−232323−23-1011-1000000003-3-33−333−33−3−3300000000000000000000000000
χ1504-4-44-2-2000022-222-2−232323−23−232323−2310-1-11000000003-3-333−3−333−3−3300000000000000000000000000-444-4220000-2-22-2-2223−23−232323−23−2323-1011-100000000-333-3−333−3−333−300000000000000000000000000

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