Finite Group Databasebeta

← Group #72225361

Character table — Group #72225361

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222444444444444444444444444888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232326464646464646464
order124422244444444444888888888888888844161616161616161616161616161616161616161616161616224444448888888888888888161616161616161616161616161616161616161632323232323232323232323232323232248816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11111-1-1-1-1-1-1-1-11111iiii−i−i−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ1111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1411111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11111-1-1-1-1-1-1-1-11111−i−i−i−iiiii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ1511111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ1611111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ1711-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ31-1i−i1-11-1ii−i−iii−i−i11-1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−iζ−ζζ3−ζ3
χ1811-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ31-1i−i1-11-1ii−i−iii−i−i11-1-1ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−ii−ζζ−ζ3ζ3
χ1911-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ31-1i−i-11-11−i−iii−i−iii-1-111ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1ii−i−iζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−ii−ζζ−ζ3ζ3
χ2011-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ31-1i−i-11-11−i−iii−i−iii-1-111ζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111−i−iii−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−iζ−ζζ3−ζ3
χ2111-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ31-1i−i1-11-1ii−i−iii−i−i11-1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i−ζζ−ζ3ζ3
χ2211-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ31-1i−i1-11-1ii−i−iii−i−i11-1-1−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ3-11−iiζ−ζζ3−ζ3
χ2311-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ31-1i−i-11-11−i−iii−i−iii-1-111−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ311-1-1ii−i−i−ζ−ζζζ−ζ3−ζ3ζ3ζ3-11−iiζ−ζζ3−ζ3
χ2411-1-11-1-111-111-1-1ii−i−i11-1-1i−i11-1-1ii−i−ii−ii−i1-1i−i−ζ−ζ−ζ−ζζζζζ−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ31-1i−i-11-11−i−iii−i−iii-1-111−ζ−ζζζ−ζ3−ζ3ζ3ζ31-1i−iζζζζ−ζ−ζ−ζ−ζζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3-1-111−i−iiiζζ−ζ−ζζ3ζ3−ζ3−ζ31-1i−i−ζζ−ζ3ζ3
χ2511-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ1-1−ii1-11-1−i−iii−i−iii11-1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−iiζ3−ζ3ζ−ζ
χ2611-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ1-1−ii1-11-1−i−iii−i−iii11-1-1ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−i−ζ3ζ3−ζζ
χ2711-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ1-1−ii-11-11ii−i−iii−i−i-1-111ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1−i−iiiζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−i−ζ3ζ3−ζζ
χ2811-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ1-1−ii-11-11ii−i−iii−i−i-1-111ζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111ii−i−i−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−iiζ3−ζ3ζ−ζ
χ2911-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ1-1−ii1-11-1−i−iii−i−iii11-1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii−ζ3ζ3−ζζ
χ3011-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ1-1−ii1-11-1−i−iii−i−iii11-1-1−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ-11i−iζ3−ζ3ζ−ζ
χ3111-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ1-1−ii-11-11ii−i−iii−i−i-1-111−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ11-1-1−i−iii−ζ3−ζ3ζ3ζ3−ζ−ζζζ-11i−iζ3−ζ3ζ−ζ
χ3211-1-11-1-111-111-1-1−i−iii11-1-1−ii11-1-1−i−iii−ii−ii1-1−ii−ζ3−ζ3−ζ3−ζ3ζ3ζ3ζ3ζ3−ζ−ζ−ζ−ζζζζζ1-1−ii-11-11ii−i−iii−i−i-1-111−ζ3−ζ3ζ3ζ3−ζ−ζζζ1-1−iiζ3ζ3ζ3ζ3−ζ3−ζ3−ζ3−ζ3ζζζζ−ζ−ζ−ζ−ζ-1-111ii−i−iζ3ζ3−ζ3−ζ3ζζ−ζ−ζ1-1−ii−ζ3ζ3−ζζ
χ33222222222222222222222222222222222222-2-2-2-22222222222222222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ34222222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022222222-2-2-2-20000000000000000000000000000000000000000
χ35222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000
χ36222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22200002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000
χ37222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000
χ38222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000
χ3922222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-2222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i-2-2220000000000000000000000000000000000000000
χ4022222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-2-2-222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-2-22200000000000000002i2i2i2i−2i−2i−2i−2i-2-2220000000000000000000000000000000000000000
χ4122222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2000022-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000000000002−22−2−22−222−22−2−22−2200000000
χ4222222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2000022-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000−22−222−22−2−22−222−22−200000000
χ4322222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-20000-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000000000002−22−2−22−22−22−222−22−200000000
χ4422222222222222-2-2-2-2-2-2-2-222-2-2-2-2222222-2-20000-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000−22−222−22−22−22−2−22−2200000000
χ452222222222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-222220000000000000000222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000
χ462222222222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-2222200000000000000002222-2-2-2-2-2-2-2-22222222200000000-2-2-2-20000000000000000000000000000000000000000
χ472222222222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-20000000000000000-2-2-2-200000000000000000000000022222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ482222222222-2-2-2-22222-2-2-2-2222222-2-2-2-222-2-2-2-2-2-20000000000000000-2-2-2-20000000000000000000000002222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ492222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-2000000000000000022-2-22222-2-2-2-22222-2-2-2-200000000-2-2220000000000000000000000000000000000000000
χ502222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-22222-2-2000000000000000022-2-2-2-2-2-22222-2-2-2-2222200000000-2-2220000000000000000000000000000000000000000
χ512222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-2220000000000000000-2-22200000000000000000000000022-2-222-2-222-2-2-2-222-2-222000000000000000000000000
χ522222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-2220000000000000000-2-22200000000000000000000000022-2-2-2-222-2-22222-2-222-2-2000000000000000000000000
χ532222-22-22-2-200002i−2i2i−2i00002i−2i2-22-20000−2i2i002-2−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i-222i−2i000000002-22-22i−2i2i−2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i000000000000000000000000
χ542222-22-22-2-200002i−2i2i−2i00002i−2i2-22-20000−2i2i002-2−2i2i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i-222i−2i00000000-22-22−2i2i−2i2i1−i−1+i1−i−1+i1+i−1−i1+i−1−i0000−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i000000000000000000000000
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χ1094444-44-44-4-40000−4i4i−4i4i00004i−4i-44-440000−4i4i0000002−2i−2+2i−2+2i2−2i2−2i−2+2i−2+2i2−2i−2−2i2+2i2+2i−2−2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000000000000000000
χ1104444-44-44-4-40000−4i4i−4i4i00004i−4i-44-440000−4i4i000000−2+2i2−2i2−2i−2+2i−2+2i2−2i2−2i−2+2i2+2i−2−2i−2−2i2+2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000000000000000000
χ11144-4-44-4-444-4-4-4444i4i−4i−4i44-4-4−4i4i-4-4444i4i−4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11244-4-44-4-444-4-4-444−4i−4i4i4i44-4-44i−4i-4-444−4i−4i4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11344-4-4-4-444-4400004-4-440000-4-4-444-400004400000022−22−2222−222222−2222−22−2222−222222−22000000000000000000000000000000000000000000000000000000000000000000000000
χ11444-4-4-4-444-4400004-4-440000-4-4-444-4000044000000−222222−2222−22−2222−222222−2222−22−2222000000000000000000000000000000000000000000000000000000000000000000000000
χ11544-4-4-4-444-440000-444-4000044-444-40000-4-40000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000000000000000000000000000000000000000000000
χ11644-4-4-4-444-440000-444-4000044-444-40000-4-4000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000000000000000000000000000000000000000000000
χ11788888-8-8-8-880000000000000000008-88-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888888-8-8-8-88000000000000000000-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198888-8-88-88-8000000008-88-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208888-8-88-88-800000000-88-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8888-8-8-80000000000000000008i−8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8888-8-8-8000000000000000000−8i8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-88-8-888000000008-8-880000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-88-8-88800000000-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12516-1616i−16i0000008-88i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12616-1616i−16i000000-88−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12716-16−16i16i0000008-8−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12816-16−16i16i000000-888i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.