Finite Group Databasebeta

← Group #72247713

Character table — Group #72247713

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size13333316161333331616133333161613333316161333331616133333161613333316161333331616266666323226666632322666663232266666323226666632322666663232266666323226666632322666663232266666323226666632322666663232
order122222332222226622222266222222664444441212444444121244444412124444441212444444121244444412124444441212444444121288888824248888882424888888242488888824248888882424888888242488888824248888882424
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ3111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100
χ63-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100
χ73-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100
χ83-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300
χ9111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32
χ11111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100
χ133-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-311100-31-311100-31-311100-31-311100-31-311100
χ143-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-31100-311-31100-311-31100-311-31100-311-31100
χ153-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100
χ163-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-300-31111-300-31111-300-31111-300-31111-300
χ171111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32
χ19111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32
χ2033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-311110033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-3111100
χ213-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-3111003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-311100
χ223-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-311003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-31100
χ233-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-31003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-3100
χ243-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-3003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-300
χ251111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111
χ26111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32
χ27111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32
χ2833-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100-3-3111100-3-311110033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ293-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-311100-31-311100-31-311100-31-311100-31-3111003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100
χ303-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-31100-311-31100-311-31100-311-31100-311-311003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100
χ313-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100-3111-3100-3111-31003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100
χ323-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-300-31111-300-31111-300-31111-300-31111-3003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ34111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32iiiiiiζ7ζ11iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11−i−i−i−i−i−i−ζ7−ζ11
χ35111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32iiiiiiζ11ζ7iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7−i−i−i−i−i−i−ζ11−ζ7
χ3633-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-31111003i3i−i−i−i−i003i3i−i−i−i−i00−3i−3iiiii00−3i−3iiiii003i3i−i−i−i−i003i3i−i−i−i−i00−3i−3iiiii00−3i−3iiiii00
χ373-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-3111003-13-1-1-1003-13-1-1-100-31-311100-31-3111003i−i3i−i−i−i003i−i3i−i−i−i00−3ii−3iiii00−3ii−3iiii003i−i3i−i−i−i003i−i3i−i−i−i00−3ii−3iiii00−3ii−3iiii00
χ383-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-311003-1-13-1-1003-1-13-1-100-311-31100-311-311003i−i−i3i−i−i003i−i−i3i−i−i00−3iii−3iii00−3iii−3iii003i−i−i3i−i−i003i−i−i3i−i−i00−3iii−3iii00−3iii−3iii00
χ393-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-31003-1-1-13-1003-1-1-13-100-3111-3100-3111-31003i−i−i−i3i−i003i−i−i−i3i−i00−3iiii−3ii00−3iiii−3ii003i−i−i−i3i−i003i−i−i−i3i−i00−3iiii−3ii00−3iiii−3ii00
χ403-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-3003-1-1-1-13003-1-1-1-1300-31111-300-31111-3003i−i−i−i−i3i003i−i−i−i−i3i00−3iiiii−3i00−3iiiii−3i003i−i−i−i−i3i003i−i−i−i−i3i00−3iiiii−3i00−3iiiii−3i00
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χ4911111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
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χ5711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
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χ971111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
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χ1051111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
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χ1173-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-3111003-13-1-1-1003-13-1-1-100−3ii−3iiii003i−i3i−i−i−i003i−i3i−i−i−i00−3ii−3iiii003i−i3i−i−i−i00−3ii−3iiii00−3ii−3iiii003i−i3i−i−i−i003-13-1-1-100-31-311100-31-3111003-13-1-1-100
χ1183-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-311003-1-13-1-1003-1-13-1-100−3iii−3iii003i−i−i3i−i−i003i−i−i3i−i−i00−3iii−3iii003i−i−i3i−i−i00−3iii−3iii00−3iii−3iii003i−i−i3i−i−i003-1-13-1-100-311-31100-311-311003-1-13-1-100
χ1193-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-31003-1-1-13-1003-1-1-13-100−3iiii−3ii003i−i−i−i3i−i003i−i−i−i3i−i00−3iiii−3ii003i−i−i−i3i−i00−3iiii−3ii00−3iiii−3ii003i−i−i−i3i−i003-1-1-13-100-3111-3100-3111-31003-1-1-13-100
χ1203-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-3003-1-1-1-13003-1-1-1-1300−3iiiii−3i003i−i−i−i−i3i003i−i−i−i−i3i00−3iiiii−3i003i−i−i−i−i3i00−3iiiii−3i00−3iiiii−3i003i−i−i−i−i3i003-1-1-1-1300-31111-300-31111-3003-1-1-1-1300
χ1211111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ122111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11−i−i−i−i−i−i−ζ7−ζ11iiiiiiζ7ζ11iiiiiiζ7ζ11−i−i−i−i−i−i−ζ7−ζ11-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32
χ123111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7−i−i−i−i−i−i−ζ11−ζ7iiiiiiζ11ζ7iiiiiiζ11ζ7−i−i−i−i−i−i−ζ11−ζ7-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32
χ12433-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-311110033-1-1-1-10033-1-1-1-100−3i−3iiiii003i3i−i−i−i−i003i3i−i−i−i−i00−3i−3iiiii00−3i−3iiiii003i3i−i−i−i−i003i3i−i−i−i−i00−3i−3iiiii00-3-311110033-1-1-1-10033-1-1-1-100-3-3111100
χ1253-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-3111003-13-1-1-1003-13-1-1-100−3ii−3iiii003i−i3i−i−i−i003i−i3i−i−i−i00−3ii−3iiii00−3ii−3iiii003i−i3i−i−i−i003i−i3i−i−i−i00−3ii−3iiii00-31-3111003-13-1-1-1003-13-1-1-100-31-311100
χ1263-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-311003-1-13-1-1003-1-13-1-100−3iii−3iii003i−i−i3i−i−i003i−i−i3i−i−i00−3iii−3iii00−3iii−3iii003i−i−i3i−i−i003i−i−i3i−i−i00−3iii−3iii00-311-311003-1-13-1-1003-1-13-1-100-311-31100
χ1273-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-31003-1-1-13-1003-1-1-13-100−3iiii−3ii003i−i−i−i3i−i003i−i−i−i3i−i00−3iiii−3ii00−3iiii−3ii003i−i−i−i3i−i003i−i−i−i3i−i00−3iiii−3ii00-3111-31003-1-1-13-1003-1-1-13-100-3111-3100
χ1283-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-3003-1-1-1-13003-1-1-1-1300−3iiiii−3i003i−i−i−i−i3i003i−i−i−i−i3i00−3iiiii−3i00−3iiiii−3i003i−i−i−i−i3i003i−i−i−i−i3i00−3iiiii−3i00-31111-3003-1-1-1-13003-1-1-1-1300-31111-300
χ12922222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ130222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3222222−1+i3−1−i3-2-2-2-2-2-21−i31+i32i2i2i2i2i2i2ζ72ζ11−2i−2i−2i−2i−2i−2i−2ζ7−2ζ112i2i2i2i2i2i2ζ72ζ11−2i−2i−2i−2i−2i−2i−2ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ131222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3222222−1−i3−1+i3-2-2-2-2-2-21+i31−i32i2i2i2i2i2i2ζ112ζ7−2i−2i−2i−2i−2i−2i−2ζ11−2ζ72i2i2i2i2i2i2ζ112ζ7−2i−2i−2i−2i−2i−2i−2ζ11−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13266-2-2-2-200-6-622220066-2-2-2-200-6-62222006i6i−2i−2i−2i−2i00−6i−6i2i2i2i2i006i6i−2i−2i−2i−2i00−6i−6i2i2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336-26-2-2-200-62-6222006-26-2-2-200-62-6222006i−2i6i−2i−2i−2i00−6i2i−6i2i2i2i006i−2i6i−2i−2i−2i00−6i2i−6i2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1346-2-26-2-200-622-622006-2-26-2-200-622-622006i−2i−2i6i−2i−2i00−6i2i2i−6i2i2i006i−2i−2i6i−2i−2i00−6i2i2i−6i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1356-2-2-26-200-6222-62006-2-2-26-200-6222-62006i−2i−2i−2i6i−2i00−6i2i2i2i−6i2i006i−2i−2i−2i6i−2i00−6i2i2i2i−6i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1366-2-2-2-2600-62222-6006-2-2-2-2600-62222-6006i−2i−2i−2i−2i6i00−6i2i2i2i2i−6i006i−2i−2i−2i−2i6i00−6i2i2i2i2i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13722222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ138222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3−2i−2i−2i−2i−2i−2i−2ζ7−2ζ112i2i2i2i2i2i2ζ72ζ11−2i−2i−2i−2i−2i−2i−2ζ7−2ζ112i2i2i2i2i2i2ζ72ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ139222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3−2i−2i−2i−2i−2i−2i−2ζ11−2ζ72i2i2i2i2i2i2ζ112ζ7−2i−2i−2i−2i−2i−2i−2ζ11−2ζ72i2i2i2i2i2i2ζ112ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14066-2-2-2-200-6-622220066-2-2-2-200-6-6222200−6i−6i2i2i2i2i006i6i−2i−2i−2i−2i00−6i−6i2i2i2i2i006i6i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1416-26-2-2-200-62-6222006-26-2-2-200-62-622200−6i2i−6i2i2i2i006i−2i6i−2i−2i−2i00−6i2i−6i2i2i2i006i−2i6i−2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1436-2-2-26-200-6222-62006-2-2-26-200-6222-6200−6i2i2i2i−6i2i006i−2i−2i−2i6i−2i00−6i2i2i2i−6i2i006i−2i−2i−2i6i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1446-2-2-2-2600-62222-6006-2-2-2-2600-62222-600−6i2i2i2i2i−6i006i−2i−2i−2i−2i6i00−6i2i2i2i2i−6i006i−2i−2i−2i−2i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14522222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ146222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3-2-2-2-2-2-21−i31+i3222222−1+i3−1−i32i2i2i2i2i2i2ζ72ζ11−2i−2i−2i−2i−2i−2i−2ζ7−2ζ11−2i−2i−2i−2i−2i−2i−2ζ7−2ζ112i2i2i2i2i2i2ζ72ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ147222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3-2-2-2-2-2-21+i31−i3222222−1−i3−1+i32i2i2i2i2i2i2ζ112ζ7−2i−2i−2i−2i−2i−2i−2ζ11−2ζ7−2i−2i−2i−2i−2i−2i−2ζ11−2ζ72i2i2i2i2i2i2ζ112ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1496-26-2-2-200-62-622200-62-6222006-26-2-2-2006i−2i6i−2i−2i−2i00−6i2i−6i2i2i2i00−6i2i−6i2i2i2i006i−2i6i−2i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1506-2-26-2-200-622-62200-622-622006-2-26-2-2006i−2i−2i6i−2i−2i00−6i2i2i−6i2i2i00−6i2i2i−6i2i2i006i−2i−2i6i−2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1516-2-2-26-200-6222-6200-6222-62006-2-2-26-2006i−2i−2i−2i6i−2i00−6i2i2i2i−6i2i00−6i2i2i2i−6i2i006i−2i−2i−2i6i−2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1526-2-2-2-2600-62222-600-62222-6006-2-2-2-26006i−2i−2i−2i−2i6i00−6i2i2i2i2i−6i00−6i2i2i2i2i−6i006i−2i−2i−2i−2i6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ154222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3-2-2-2-2-2-21−i31+i3222222−1+i3−1−i3−2i−2i−2i−2i−2i−2i−2ζ7−2ζ112i2i2i2i2i2i2ζ72ζ112i2i2i2i2i2i2ζ72ζ11−2i−2i−2i−2i−2i−2i−2ζ7−2ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ155222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3-2-2-2-2-2-21+i31−i3222222−1−i3−1+i3−2i−2i−2i−2i−2i−2i−2ζ11−2ζ72i2i2i2i2i2i2ζ112ζ72i2i2i2i2i2i2ζ112ζ7−2i−2i−2i−2i−2i−2i−2ζ11−2ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1576-26-2-2-200-62-622200-62-6222006-26-2-2-200−6i2i−6i2i2i2i006i−2i6i−2i−2i−2i006i−2i6i−2i−2i−2i00−6i2i−6i2i2i2i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1606-2-2-2-2600-62222-600-62222-6006-2-2-2-2600−6i2i2i2i2i−6i006i−2i−2i−2i−2i6i006i−2i−2i−2i−2i6i00−6i2i2i2i2i−6i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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