Finite Group Databasebeta

← Group #11861520

Character table — Group #11861520

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122222222226666111122222222226666222244444444441212121222224444444444121212122222444444444412121212222244444444441212121222224444444444121212126666121212121212121212123636363666661212121212121212121236363636
order12443688121224242424248822446688121224242424248836121236242412122424242461224244444121288121224242424448866121266242412122424242461224241212121212122424121224242424121224241212121212122424121224242424121224244444121288121224242424448844441212881212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ3111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1
χ4111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ511-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i
χ611-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii
χ711-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii
χ811-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i
χ92222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000
χ102222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-111110000
χ1122-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii0000
χ1222-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i0000
χ132-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i00000000
χ142-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ152-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ162-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i00000000
χ172-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ182-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ19111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2011111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ21111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111
χ22111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ2311-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i11-1-111i−i-1-1ii−i−i1-1i−i-1-111-1-1−ii11−i−iii-11−ii-1-111-1-1−ii11−i−iii-11−ii
χ2411-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i-1-111-1-1−ii11−i−iii1-1i−i
χ2511-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii-1-111-1-1i−i11ii−i−i-11i−i-1-111-1-1i−i11ii−i−i-11i−i
χ2611-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i11-1-111−ii-1-1−i−iii-11i−i-1-111-1-1i−i11ii−i−i1-1−ii-1-111-1-1i−i11ii−i−i1-1−ii
χ272222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-21111110000-2-2-2-211-2-21111110000
χ282222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-1111100002222-1-1-2-2-1-111110000-2-2-2-2112211-1-1-1-10000-2-2-2-2112211-1-1-1-10000
χ2922-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii000022-2-2-1-12i−2i11−i−iii0000-2-22211−2i2i-1-1ii−i−i0000-2-22211−2i2i-1-1ii−i−i0000
χ3022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i000022-2-2-1-1−2i2i11ii−i−i0000-2-222112i−2i-1-1−i−iii0000-2-222112i−2i-1-1−i−iii0000
χ312-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i000000002-22i−2i2-2002i−2i00000000-22−2i2i-2200−2i2i00000000-22−2i2i-2200−2i2i00000000
χ322-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-22−2i2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-22−2i2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ332-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-22−2i2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-22−2i2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ342-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i000000002-2−2i2i2-200−2i2i00000000-222i−2i-22002i−2i00000000-222i−2i-22002i−2i00000000
χ352-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-222i−2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-222i−2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ362-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-222i−2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-222i−2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ37111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3811111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ39111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111
χ40111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1
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χ4211-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i-1-111-1-1−ii11−i−iii1-1i−i11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i
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χ452222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-211111100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-21111110000-2-2-2-211-2-211111100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-21111110000
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χ55111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ5611111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1
χ57111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111111111-1-111-1-1-1-111-1-1
χ58111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1111111-1-111-1-1-1-1-1-111
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χ6011-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i11-1-111i−i-1-1ii−i−i-11−ii-1-111-1-1−ii11−i−iii1-1i−i-1-111-1-1−ii11−i−iii1-1i−i-1-111-1-1−ii11−i−iii1-1i−i11-1-111i−i-1-1ii−i−i-11−ii
χ6111-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii11-1-111−ii-1-1−i−iii1-1−ii-1-111-1-1i−i11ii−i−i-11i−i11-1-111−ii-1-1−i−iii1-1−ii-1-111-1-1i−i11ii−i−i-11i−i-1-111-1-1i−i11ii−i−i-11i−i-1-111-1-1i−i11ii−i−i-11i−i11-1-111−ii-1-1−i−iii1-1−ii
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χ632222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-211111100002222-1-122-1-1-1-1-1-10000-2-2-2-211-2-21111110000-2-2-2-211-2-21111110000-2-2-2-211-2-211111100002222-1-122-1-1-1-1-1-10000
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χ75222222-2-222-2-2-2-222-2-2222222-2-222-2-2-2-222-2-2-1-1-1-1-1-111-1-11111-1-111222222-2-222-2-2-2-222-2-2-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111000000000000000000000000000000000000
χ76222222-2-222-2-2-2-2-2-222222222-2-222-2-2-2-2-2-222-1-1-1-1-1-111-1-1111111-1-1222222-2-222-2-2-2-2-2-222-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1111111-1-1000000000000000000000000000000000000
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χ130222222-2-222-2-2-2-2-2-222-2-2-2-2-2-222-2-2222222-2-2-1-1-1-1-1-111-1-1111111-1-1000000000000000000111111-1-111-1-1-1-1-1-111333333−3−333−3−3−3−3−3−333−3−3−3−3−3−333−3−3333333−3−3000000000000000000000000000000000000
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χ13422-2-222−2i2i-2-2−2i−2i2i2i-222i−2i-2-222-2-22i−2i222i2i−2i−2i2-2−2i2i-1-111-1-1i−i11ii−i−i1-1−ii00000000000000000011-1-111−ii-1-1−i−iii-11i−i33−3−333−i3i3−3−3−i3−i3i3i3−33i3−i3−3−333−3−3i3−i333i3i3−i3−i33−3−i3i3000000000000000000000000000000000000
χ1354444-2-244-2-2-2-2-2-20000-4-4-4-422-4-42222220000-2-2-2-211-2-211111100000000000000000000002222-1-122-1-1-1-1-1-1000023232323−3−32323−3−3−3−3−3−30000−23−23−23−2333−23−233333330000000000000000000000000000000000000000
χ1364444-2-2-4-4-2-222220000-4-4-4-4224422-2-2-2-20000-2-2-2-2112211-1-1-1-100000000000000000000002222-1-1-2-2-1-11111000023232323−3−3−23−23−3−333330000−23−23−23−2333232333−3−3−3−30000000000000000000000000000000000000000
χ13744-4-4-2-24i−4i22−2i−2i2i2i0000-4-44422−4i4i-2-22i2i−2i−2i0000-2-22211−2i2i-1-1ii−i−i000000000000000000000022-2-2-1-12i−2i11−i−iii00002323−23−23−3−32i3−2i333−i3−i3i3i30000−23−23232333−2i32i3−3−3i3i3−i3−i30000000000000000000000000000000000000000
χ13844-4-4-2-2−4i4i222i2i−2i−2i0000-4-444224i−4i-2-2−2i−2i2i2i0000-2-222112i−2i-1-1−i−iii000000000000000000000022-2-2-1-1−2i2i11ii−i−i00002323−23−23−3−3−2i32i333i3i3−i3−i30000−23−232323332i3−2i3−3−3−i3−i3i3i30000000000000000000000000000000000000000
χ1394-44i−4i4-4004i−4i00000000-44−4i4i-4400−4i4i00000000-22−2i2i-2200−2i2i000000000000000000000000002-22i−2i2-2002i−2i0000000023−232i3−2i323−23002i3−2i300000000−2323−2i32i3−232300−2i32i300000000000000000000000000000000000000000000
χ1404-44i−4i-2200−2i2i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000-44−4i4i2-2002i−2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000-22−2i2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13000023−232i3−2i3−3300−i3i3−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ230000−2323−2i32i33−300i3−i33ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000000000
χ1414-44i−4i-2200−2i2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000-44−4i4i2-2002i−2i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000-22−2i2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13000023−232i3−2i3−3300−i3i33ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ230000−2323−2i32i33−300i3−i3−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000
χ1424-4−4i4i4-400−4i4i00000000-444i−4i-44004i−4i00000000-222i−2i-22002i−2i000000000000000000000000002-2−2i2i2-200−2i2i0000000023−23−2i32i323−2300−2i32i300000000−23232i3−2i3−2323002i3−2i300000000000000000000000000000000000000000000
χ1434-4−4i4i-22002i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000-444i−4i2-200−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000-222i−2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23000023−23−2i32i3−3300i3−i33ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ130000−23232i3−2i33−300−i3i3−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000
χ1444-4−4i4i-22002i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000-444i−4i2-200−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000-222i−2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23000023−23−2i32i3−3300i3−i3−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ130000−23232i3−2i33−300−i3i33ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000
χ145222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000111111111111111111−3−3−3−3−3−3−3−3−3−3−3−3−3−3−3−3−3−3333333333333333333000000000000000000000000000000000000
χ14622222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000011111111111111-1-1-1-1−3−3−3−3−3−3−3−3−3−3−3−3−3−3333333333333333333−3−3−3−3000000000000000000000000000000000000
χ147222222-2-222-2-2-2-222-2-2-2-2-2-2-2-222-2-22222-2-222-1-1-1-1-1-111-1-11111-1-111000000000000000000111111-1-111-1-1-1-111-1-1−3−3−3−3−3−333−3−33333−3−333333333−3−333−3−3−3−333−3−3000000000000000000000000000000000000
χ148222222-2-222-2-2-2-2-2-222-2-2-2-2-2-222-2-2222222-2-2-1-1-1-1-1-111-1-1111111-1-1000000000000000000111111-1-111-1-1-1-1-1-111−3−3−3−3−3−333−3−3333333−3−3333333−3−333−3−3−3−3−3−333000000000000000000000000000000000000
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χ15022-2-2222i−2i-2-22i2i−2i−2i-22−2i2i-2-222-2-2−2i2i22−2i−2i2i2i2-22i−2i-1-111-1-1−ii11−i−iii1-1i−i00000000000000000011-1-111i−i-1-1ii−i−i-11−ii−3−333−3−3−i3i333−i3−i3i3i33−3i3−i333−3−333i3−i3−3−3i3i3−i3−i3−33−i3i3000000000000000000000000000000000000
χ15122-2-222−2i2i-2-2−2i−2i2i2i2-2−2i2i-2-222-2-22i−2i222i2i−2i−2i-222i−2i-1-111-1-1i−i11ii−i−i-11i−i00000000000000000011-1-111−ii-1-1−i−iii1-1−ii−3−333−3−3i3−i333i3i3−i3−i3−33i3−i333−3−333−i3i3−3−3−i3−i3i3i33−3−i3i3000000000000000000000000000000000000
χ15222-2-222−2i2i-2-2−2i−2i2i2i-222i−2i-2-222-2-22i−2i222i2i−2i−2i2-2−2i2i-1-111-1-1i−i11ii−i−i1-1−ii00000000000000000011-1-111−ii-1-1−i−iii-11i−i−3−333−3−3i3−i333i3i3−i3−i33−3−i3i333−3−333−i3i3−3−3−i3−i3i3i3−33i3−i3000000000000000000000000000000000000
χ1534444-2-244-2-2-2-2-2-20000-4-4-4-422-4-42222220000-2-2-2-211-2-211111100000000000000000000002222-1-122-1-1-1-1-1-10000−23−23−23−2333−23−23333333000023232323−3−32323−3−3−3−3−3−30000000000000000000000000000000000000000
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χ15544-4-4-2-24i−4i22−2i−2i2i2i0000-4-44422−4i4i-2-22i2i−2i−2i0000-2-22211−2i2i-1-1ii−i−i000000000000000000000022-2-2-1-12i−2i11−i−iii0000−23−23232333−2i32i3−3−3i3i3−i3−i300002323−23−23−3−32i3−2i333−i3−i3i3i30000000000000000000000000000000000000000
χ15644-4-4-2-2−4i4i222i2i−2i−2i0000-4-444224i−4i-2-2−2i−2i2i2i0000-2-222112i−2i-1-1−i−iii000000000000000000000022-2-2-1-1−2i2i11ii−i−i0000−23−232323332i3−2i3−3−3−i3−i3i3i300002323−23−23−3−3−2i32i333i3i3−i3−i30000000000000000000000000000000000000000
χ1574-44i−4i4-4004i−4i00000000-44−4i4i-4400−4i4i00000000-22−2i2i-2200−2i2i000000000000000000000000002-22i−2i2-2002i−2i00000000−2323−2i32i3−232300−2i32i30000000023−232i3−2i323−23002i3−2i300000000000000000000000000000000000000000000
χ1584-44i−4i-2200−2i2i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000-44−4i4i2-2002i−2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000-22−2i2i1-100i−iζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000002-22i−2i-1100−ii−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000−2323−2i32i33−300i3−i33ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ23000023−232i3−2i3−3300−i3i3−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ230000000000000000000000000000000000000000
χ1594-44i−4i-2200−2i2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ130000-44−4i4i2-2002i−2i−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ130000-22−2i2i1-100i−i−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000002-22i−2i-1100−iiζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000−2323−2i32i33−300i3−i3−3ζ5−3ζ133ζ5+3ζ133ζ7+3ζ23−3ζ7−3ζ23000023−232i3−2i3−3300−i3i33ζ5+3ζ13−3ζ5−3ζ13−3ζ7−3ζ233ζ7+3ζ230000000000000000000000000000000000000000
χ1604-4−4i4i4-400−4i4i00000000-444i−4i-44004i−4i00000000-222i−2i-22002i−2i000000000000000000000000002-2−2i2i2-200−2i2i00000000−23232i3−2i3−2323002i3−2i30000000023−23−2i32i323−2300−2i32i300000000000000000000000000000000000000000000
χ1614-4−4i4i-22002i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000-444i−4i2-200−2i2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000-222i−2i1-100−ii−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000002-2−2i2i-1100i−iζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000−23232i3−2i33−300−i3i3−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ13000023−23−2i32i3−3300i3−i33ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ130000000000000000000000000000000000000000
χ1624-4−4i4i-22002i−2i−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ230000-444i−4i2-200−2i2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ230000-222i−2i1-100−iiζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000002-2−2i2i-1100i−i−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000−23232i3−2i33−300−i3i33ζ7+3ζ23−3ζ7−3ζ23−3ζ5−3ζ133ζ5+3ζ13000023−23−2i32i3−3300i3−i3−3ζ7−3ζ233ζ7+3ζ233ζ5+3ζ13−3ζ5−3ζ130000000000000000000000000000000000000000

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