Finite Group Databasebeta

← Group #11923431

Character table — Group #11923431

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size133333161613333316161333331616133333161626666632322666663232266666323226666632323999994848399999484839999948483999994848
order1222223322222266444444121244444412123666663366666666121212121212121212121212121212128888882424888888242488888824248888882424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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−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+i32
χ433-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100
χ53-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100
χ63-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100
χ73-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100
χ83-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300
χ91111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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−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+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
χ1233-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100-3-3111100-3-3111100
χ133-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-1003-13-1-1-100-31-311100-31-311100-31-311100-31-311100
χ143-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-1003-1-13-1-100-311-31100-311-31100-311-31100-311-31100
χ153-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100-3111-3100-3111-3100
χ163-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-13003-1-1-1-1300-31111-300-31111-300-31111-300-31111-300
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ18111111−1+i32−1−i32111111−1+i32−1−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+i32iiiiiiζ14ζ22iiiiiiζ14ζ22−i−i−i−i−i−i−ζ14−ζ22−i−i−i−i−i−i−ζ14−ζ22
χ19111111−1−i32−1+i32111111−1−i32−1+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−i32iiiiiiζ22ζ14iiiiiiζ22ζ14−i−i−i−i−i−i−ζ22−ζ14−i−i−i−i−i−i−ζ22−ζ14
χ2033-1-1-1-10033-1-1-1-100-3-3111100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-31111003i3i−i−i−i−i003i3i−i−i−i−i00−3i−3iiiii00−3i−3iiiii00
χ213-13-1-1-1003-13-1-1-100-31-311100-31-3111003-13-1-1-1003-13-1-1-100-31-311100-31-3111003i−i3i−i−i−i003i−i3i−i−i−i00−3ii−3iiii00−3ii−3iiii00
χ223-1-13-1-1003-1-13-1-100-311-31100-311-311003-1-13-1-1003-1-13-1-100-311-31100-311-311003i−i−i3i−i−i003i−i−i3i−i−i00−3iii−3iii00−3iii−3iii00
χ233-1-1-13-1003-1-1-13-100-3111-3100-3111-31003-1-1-13-1003-1-1-13-100-3111-3100-3111-31003i−i−i−i3i−i003i−i−i−i3i−i00−3iiii−3ii00−3iiii−3ii00
χ243-1-1-1-13003-1-1-1-1300-31111-300-31111-3003-1-1-1-13003-1-1-1-1300-31111-300-31111-3003i−i−i−i−i3i003i−i−i−i−i3i00−3iiiii−3i00−3iiiii−3i00
χ251111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii
χ26111111−1+i32−1−i32111111−1+i32−1−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+i32−i−i−i−i−i−i−ζ14−ζ22−i−i−i−i−i−i−ζ14−ζ22iiiiiiζ14ζ22iiiiiiζ14ζ22
χ27111111−1−i32−1+i32111111−1−i32−1+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−i32−i−i−i−i−i−i−ζ22−ζ14−i−i−i−i−i−i−ζ22−ζ14iiiiiiζ22ζ14iiiiiiζ22ζ14
χ2833-1-1-1-10033-1-1-1-100-3-3111100-3-311110033-1-1-1-10033-1-1-1-100-3-3111100-3-3111100−3i−3iiiii00−3i−3iiiii003i3i−i−i−i−i003i3i−i−i−i−i00
χ293-13-1-1-1003-13-1-1-100-31-311100-31-3111003-13-1-1-1003-13-1-1-100-31-311100-31-311100−3ii−3iiii00−3ii−3iiii003i−i3i−i−i−i003i−i3i−i−i−i00
χ303-1-13-1-1003-1-13-1-100-311-31100-311-311003-1-13-1-1003-1-13-1-100-311-31100-311-31100−3iii−3iii00−3iii−3iii003i−i−i3i−i−i003i−i−i3i−i−i00
χ313-1-1-13-1003-1-1-13-100-3111-3100-3111-31003-1-1-13-1003-1-1-13-100-3111-3100-3111-3100−3iiii−3ii00−3iiii−3ii003i−i−i−i3i−i003i−i−i−i3i−i00
χ323-1-1-1-13003-1-1-1-1300-31111-300-31111-3003-1-1-1-13003-1-1-1-1300-31111-300-31111-300−3iiiii−3i00−3iiiii−3i003i−i−i−i−i3i003i−i−i−i−i3i00
χ3311111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13
χ34111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ14ζ22−i−i−i−i−i−i−ζ14−ζ22111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ14ζ22−i−i−i−i−i−i−ζ14−ζ22ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13
χ35111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ22ζ14−i−i−i−i−i−i−ζ22−ζ14111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ22ζ14−i−i−i−i−i−i−ζ22−ζ14ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5
χ3633-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii0033-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii003ζ7+3ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ7−3ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23003ζ5+3ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ5−3ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ1300
χ373-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii003-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii003ζ7+3ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ7−3ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23003ζ5+3ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ5−3ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ1300
χ383-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii003-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ1300
χ393-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii003-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ2300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ1300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ1300
χ403-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i003-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ2300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ1300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ1300
χ4111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13
χ42111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ14ζ22−i−i−i−i−i−i−ζ14−ζ22111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32iiiiiiζ14ζ22−i−i−i−i−i−i−ζ14−ζ22−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13
χ43111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ22ζ14−i−i−i−i−i−i−ζ22−ζ14111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32iiiiiiζ22ζ14−i−i−i−i−i−i−ζ22−ζ14−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5
χ4433-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii0033-1-1-1-100-3-31111003i3i−i−i−i−i00−3i−3iiiii00−3ζ7−3ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23003ζ7+3ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ5−3ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13003ζ5+3ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300
χ453-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii003-13-1-1-100-31-3111003i−i3i−i−i−i00−3ii−3iiii00−3ζ7−3ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23003ζ7+3ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ5−3ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13003ζ5+3ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300
χ463-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii003-1-13-1-100-311-311003i−i−i3i−i−i00−3iii−3iii00−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ1300
χ473-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii003-1-1-13-100-3111-31003i−i−i−i3i−i00−3iiii−3ii00−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ2300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ1300
χ483-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i003-1-1-1-1300-31111-3003i−i−i−i−i3i00−3iiiii−3i00−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ2300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ1300
χ4911111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23
χ50111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ14−ζ22iiiiiiζ14ζ22111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ14−ζ22iiiiiiζ14ζ22ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7
χ51111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ22−ζ14iiiiiiζ22ζ14111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ22−ζ14iiiiiiζ22ζ14ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23
χ5233-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i0033-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i003ζ5+3ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ5−3ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13003ζ7+3ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ7−3ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ2300
χ533-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i003-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i003ζ5+3ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ5−3ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13003ζ7+3ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ7−3ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ2300
χ543-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i003-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ2300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ2300
χ553-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i003-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ1300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ2300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ2300
χ563-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i003-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ1300−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ2300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ2300
χ5711111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23
χ58111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ14−ζ22iiiiiiζ14ζ22111111−1+i32−1−i32-1-1-1-1-1-11−i321+i32−i−i−i−i−i−i−ζ14−ζ22iiiiiiζ14ζ22−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ23ζ7ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ23−ζ7
χ59111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ22−ζ14iiiiiiζ22ζ14111111−1−i32−1+i32-1-1-1-1-1-11+i321−i32−i−i−i−i−i−i−ζ22−ζ14iiiiiiζ22ζ14−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ13ζ5ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ13−ζ5−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23
χ6033-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i0033-1-1-1-100-3-3111100−3i−3iiiii003i3i−i−i−i−i00−3ζ5−3ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13003ζ5+3ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ7−3ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23003ζ7+3ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300
χ613-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i003-13-1-1-100-31-311100−3ii−3iiii003i−i3i−i−i−i00−3ζ5−3ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13003ζ5+3ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ7−3ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23003ζ7+3ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ2300
χ623-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i003-1-13-1-100-311-31100−3iii−3iii003i−i−i3i−i−i00−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ13−ζ5−ζ1300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ23−ζ7−ζ2300
χ633-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i003-1-1-13-100-3111-3100−3iiii−3ii003i−i−i−i3i−i00−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13ζ5+ζ13003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ13−ζ5−ζ1300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23ζ7+ζ23003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ23−ζ7−ζ2300
χ643-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i003-1-1-1-1300-31111-300−3iiiii−3i003i−i−i−i−i3i00−3ζ5−3ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−3ζ5−3ζ13003ζ5+3ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ133ζ5+3ζ1300−3ζ7−3ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−3ζ7−3ζ23003ζ7+3ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ233ζ7+3ζ2300
χ6522222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ66222222−1+i3−1−i3222222−1+i3−1−i3222222−1+i3−1−i3222222−1+i3−1−i3-1-1-1-1-1-11−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+i3200000000000000000000000000000000
χ67222222−1−i3−1+i3222222−1−i3−1+i3222222−1−i3−1+i3222222−1−i3−1+i3-1-1-1-1-1-11+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−i3200000000000000000000000000000000
χ6866-2-2-2-20066-2-2-2-20066-2-2-2-20066-2-2-2-200-3-3111100-3-3111100-3-3111100-3-311110000000000000000000000000000000000
χ696-26-2-2-2006-26-2-2-2006-26-2-2-2006-26-2-2-200-31-311100-31-311100-31-311100-31-31110000000000000000000000000000000000
χ706-2-26-2-2006-2-26-2-2006-2-26-2-2006-2-26-2-200-311-31100-311-31100-311-31100-311-3110000000000000000000000000000000000
χ716-2-2-26-2006-2-2-26-2006-2-2-26-2006-2-2-26-200-3111-3100-3111-3100-3111-3100-3111-310000000000000000000000000000000000
χ726-2-2-2-26006-2-2-2-26006-2-2-2-26006-2-2-2-2600-31111-300-31111-300-31111-300-31111-30000000000000000000000000000000000
χ732222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000000000000000000000000000
χ74222222−1+i3−1−i3222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3-2-2-2-2-2-21−i31+i3-1-1-1-1-1-11−i321+i32-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32111111−1+i32−1−i3200000000000000000000000000000000
χ75222222−1−i3−1+i3222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3-2-2-2-2-2-21+i31−i3-1-1-1-1-1-11+i321−i32-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32111111−1−i32−1+i3200000000000000000000000000000000
χ7666-2-2-2-20066-2-2-2-200-6-6222200-6-6222200-3-3111100-3-311110033-1-1-1-10033-1-1-1-10000000000000000000000000000000000
χ776-26-2-2-2006-26-2-2-200-62-622200-62-622200-31-311100-31-3111003-13-1-1-1003-13-1-1-10000000000000000000000000000000000
χ786-2-26-2-2006-2-26-2-200-622-62200-622-62200-311-31100-311-311003-1-13-1-1003-1-13-1-10000000000000000000000000000000000
χ796-2-2-26-2006-2-2-26-200-6222-6200-6222-6200-3111-3100-3111-31003-1-1-13-1003-1-1-13-10000000000000000000000000000000000
χ806-2-2-2-26006-2-2-2-2600-62222-600-62222-600-31111-300-31111-3003-1-1-1-13003-1-1-1-130000000000000000000000000000000000
χ8122222222-2-2-2-2-2-2-2-22i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii00000000000000000000000000000000
χ82222222−1+i3−1−i3-2-2-2-2-2-21−i31+i32i2i2i2i2i2i2ζ142ζ22−2i−2i−2i−2i−2i−2i−2ζ14−2ζ22-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32−i−i−i−i−i−i−ζ14−ζ22iiiiiiζ14ζ2200000000000000000000000000000000
χ83222222−1−i3−1+i3-2-2-2-2-2-21+i31−i32i2i2i2i2i2i2ζ222ζ14−2i−2i−2i−2i−2i−2i−2ζ22−2ζ14-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32−i−i−i−i−i−i−ζ22−ζ14iiiiiiζ22ζ1400000000000000000000000000000000
χ8466-2-2-2-200-6-62222006i6i−2i−2i−2i−2i00−6i−6i2i2i2i2i00-3-311110033-1-1-1-100−3i−3iiiii003i3i−i−i−i−i0000000000000000000000000000000000
χ856-26-2-2-200-62-6222006i−2i6i−2i−2i−2i00−6i2i−6i2i2i2i00-31-3111003-13-1-1-100−3ii−3iiii003i−i3i−i−i−i0000000000000000000000000000000000
χ866-2-26-2-200-622-622006i−2i−2i6i−2i−2i00−6i2i2i−6i2i2i00-311-311003-1-13-1-100−3iii−3iii003i−i−i3i−i−i0000000000000000000000000000000000
χ876-2-2-26-200-6222-62006i−2i−2i−2i6i−2i00−6i2i2i2i−6i2i00-3111-31003-1-1-13-100−3iiii−3ii003i−i−i−i3i−i0000000000000000000000000000000000
χ886-2-2-2-2600-62222-6006i−2i−2i−2i−2i6i00−6i2i2i2i2i−6i00-31111-3003-1-1-1-1300−3iiiii−3i003i−i−i−i−i3i0000000000000000000000000000000000
χ8922222222-2-2-2-2-2-2-2-2−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i00000000000000000000000000000000
χ90222222−1+i3−1−i3-2-2-2-2-2-21−i31+i3−2i−2i−2i−2i−2i−2i−2ζ14−2ζ222i2i2i2i2i2i2ζ142ζ22-1-1-1-1-1-11−i321+i32111111−1+i32−1−i32iiiiiiζ14ζ22−i−i−i−i−i−i−ζ14−ζ2200000000000000000000000000000000
χ91222222−1−i3−1+i3-2-2-2-2-2-21+i31−i3−2i−2i−2i−2i−2i−2i−2ζ22−2ζ142i2i2i2i2i2i2ζ222ζ14-1-1-1-1-1-11+i321−i32111111−1−i32−1+i32iiiiiiζ22ζ14−i−i−i−i−i−i−ζ22−ζ1400000000000000000000000000000000
χ9266-2-2-2-200-6-6222200−6i−6i2i2i2i2i006i6i−2i−2i−2i−2i00-3-311110033-1-1-1-1003i3i−i−i−i−i00−3i−3iiiii0000000000000000000000000000000000
χ936-26-2-2-200-62-622200−6i2i−6i2i2i2i006i−2i6i−2i−2i−2i00-31-3111003-13-1-1-1003i−i3i−i−i−i00−3ii−3iiii0000000000000000000000000000000000
χ946-2-26-2-200-622-62200−6i2i2i−6i2i2i006i−2i−2i6i−2i−2i00-311-311003-1-13-1-1003i−i−i3i−i−i00−3iii−3iii0000000000000000000000000000000000
χ956-2-2-26-200-6222-6200−6i2i2i2i−6i2i006i−2i−2i−2i6i−2i00-3111-31003-1-1-13-1003i−i−i−i3i−i00−3iiii−3ii0000000000000000000000000000000000
χ966-2-2-2-2600-62222-600−6i2i2i2i2i−6i006i−2i−2i−2i−2i6i00-31111-3003-1-1-1-13003i−i−i−i−i3i00−3iiiii−3i0000000000000000000000000000000000

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