Finite Group Databasebeta

← Group #124161

Character table — Group #124161

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order12222222444444444444444488888888888888888888888822444444888816161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161624448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-11-1-111
χ101111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-111-111-1-1
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−iiiii−i−i−i−i-111-111-1-1
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−iiiii1-1-11-1-111
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111-1-1111-1-1
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-111-1-1-111
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1-1-111
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ611-1-1i−ii−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1ii−i−iζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6-1-111−ii−ii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6-1-111−ii−ii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iii−i−iiiii−i−i−i−iii−i−i1111-1-1-1-1ii−i−i−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ611-1-1i−ii−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−iii1111-1-1-1-1−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ211-1-1−ii−ii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−iii1111-1-1-1-1−i−iiiζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2-1-111i−ii−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−iii1111-1-1-1-1−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2-1-111i−ii−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−iii−i−i−i−iiiii−i−iii1111-1-1-1-1−i−iii−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ211-1-1−ii−ii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−iii-1-111-1-111ii−i−iζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ21-11-1−iii−i
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−iii-1-111-1-111ii−i−iζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2-11-11i−i−ii
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−iii-1-111-1-111ii−i−i−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2-11-11i−i−ii
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−i−i−iiiii−i−iii-1-111-1-111ii−i−i−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ21-11-1−iii−i
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−iii−i−i-1-111-1-111−i−iiiζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ61-11-1i−i−ii
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−iii−i−i-1-111-1-111−i−iiiζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6-11-11−iii−i
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−iii−i−i-1-111-1-111−i−iii−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6-11-11−iii−i
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iiiii−i−i−i−iii−i−i-1-111-1-111−i−iii−ζ2−ζ2−ζ2−ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ6ζ6ζ6ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ61-11-1i−i−ii
χ3322222222222222222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-222222200000000000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-2-2-2-22222−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-2-2-2-222222i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i22-2-222-2-2−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2i2i22-2-222-2-22i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ41222-2-2-2-2222-2-2-2-2222i2i−2i−2i2i2i−2i−2i22-2-222-2-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000
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χ43222-2-2-2-2222-2-2-2-2222i2i−2i−2i2i2i−2i−2i-2-222-2-2220000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000001−i−1+i1−i−1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i00000000
χ44222-2-2-2-2222-2-2-2-2222i2i−2i−2i2i2i−2i−2i-2-222-2-2220000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−1+i1−i−1+i1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i00000000
χ45222-2-2-2-2222-2-2-2-222−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000
χ46222-2-2-2-2222-2-2-2-222−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000
χ47222-2-2-2-2222-2-2-2-222−2i−2i2i2i−2i−2i2i2i-2-222-2-22200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000001+i−1−i1+i−1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i00000000
χ48222-2-2-2-2222-2-2-2-222−2i−2i2i2i−2i−2i2i2i-2-222-2-22200002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−1−i1+i−1−i1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i00000000
χ49222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000-2-22222-2-2000000000000000000000000000000000000000000000000i2−i2−i2i22−2−22−222−2i2−i2−i2i200000000
χ50222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000-2-22222-2-2000000000000000000000000000000000000000000000000−i2i2i2−i2−222−22−2−22−i2i2i2−i200000000
χ51222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000022-2-2-2-2220000000000000000000000000000000000000000000000002−2−22−i2i2i2−i2−i2i2i2−i2−222−200000000
χ52222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000022-2-2-2-222000000000000000000000000000000000000000000000000−222−2i2−i2−i2i2i2−i2−i2i22−2−2200000000
χ53222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000022-2-2-2-2220000000000000000000000000000000000000000000000002−2−22i2−i2−i2i2i2−i2−i2i2−222−200000000
χ54222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000022-2-2-2-222000000000000000000000000000000000000000000000000−222−2−i2i2i2−i2−i2i2i2−i22−2−2200000000
χ55222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000-2-22222-2-2000000000000000000000000000000000000000000000000i2−i2−i2i2−222−22−2−22i2−i2−i2i200000000
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χ1002-2-22-2-222-2-2-222-222000000002-22-2-22-22-2-2-2-2000000002222-2200002-20000−222−22−2−222−2−22−222−2−222−2−222−2−222−2−222−2000000000000000000000000
χ1012-2-22-2-222-2-2-222-22200000000-22-222-22-2222200000000-2-2-2-2-2200002-20000i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ1022-2-22-2-222-2-2-222-22200000000-22-222-22-2222200000000-2-2-2-2-2200002-20000−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ1032-2-22-2-222-2-2-222-22200000000-22-222-22-2-2-2-2-20000000022222-20000-2200002−2−22−222−22−2−22−222−2−222−2−222−22−2−222−2−22000000000000000000000000
χ1042-2-22-2-222-2-2-222-22200000000-22-222-22-2-2-2-2-20000000022222-20000-220000−222−22−2−22−222−22−2−222−2−222−2−22−222−2−222−2000000000000000000000000
χ10544-4-4-444-44i−4i−4i−4i4i4i4i−4i000000000000000000004ζ6−4ζ6−4ζ64ζ6−4ζ24ζ24ζ2−4ζ2000000000000000000000000000000000000000000000000000000000000000000000000
χ10644-4-4-444-44i−4i−4i−4i4i4i4i−4i00000000000000000000−4ζ64ζ64ζ6−4ζ64ζ2−4ζ2−4ζ24ζ2000000000000000000000000000000000000000000000000000000000000000000000000
χ10744-4-4-444-4−4i4i4i4i−4i−4i−4i4i000000000000000000004ζ2−4ζ2−4ζ24ζ2−4ζ64ζ64ζ6−4ζ6000000000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-444-4−4i4i4i4i−4i−4i−4i4i00000000000000000000−4ζ24ζ24ζ2−4ζ24ζ6−4ζ6−4ζ64ζ6000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-44-44i−4i−4i4i−4i4i−4i4i4-4-44−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-44-44-44i−4i−4i4i−4i4i−4i4i-444-44i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-44-44-4−4i4i4i−4i4i−4i4i−4i4-4-444i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-44-44-4−4i4i4i−4i4i−4i4i−4i-444-4−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4-444-4444-444-4-4-4000000004i−4i−4i4i4i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4-444-4444-444-4-4-400000000−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-444-44-4-44-4-4444000000004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-444-44-4-44-4-444400000000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.