Finite Group Databasebeta

← Group #72342829

Character table — Group #72342829

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122
size1111222222444444444444888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232646464646464
order12442224442222224444442222222222222244444444444444888822222444444444444444444444888888888888884444444444888888888888448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111-1-111111111-1-1-111-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-111111111111-1-111-1-1-1-111-1-1-111-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1111-1-1111-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1
χ611111111111111111111111111111-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1111-1-1111-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111
χ711111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111
χ811111111111111111111111111111-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111111111-1-1-1-11111-1-111-1-1
χ91111111111111111111111111-1-1-1-1111111111-1-1-1-1111111111111-1-11-1-1-1-11-1-11111-1-1-1-11111-1-1-1-111111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ101111111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1
χ111111111111111111111111111-1-1-1-11111-1-1111-1-1-1-11111-1-1111111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ121111111111111111111111111-1-1-1-11111-1-1111-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111
χ131111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ141111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ151111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111111111-11111-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ161111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ1711-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-111-1-111-11111-1-111-1-1-1-1-1-1ii−i−i1-111-11-1-11-111-1-111-1-111-1-111-1-1i−iii−i−iii−i−iii−i−i1-111-1-111-1-1ii−i−iii−i−iii−i−ii−ii−ii−i
χ1811-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-111-1-111-11111-1-111-1-1-1-1-1-1−i−iii1-111-11-1-11-111-1-111-1-111-1-111-1-1−ii−i−iii−i−iii−i−iii1-111-1-111-1-1−i−iii−i−iii−i−iii−ii−ii−ii
χ1911-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-111-1-1-1-1-11111-1-111-1-111-1-1ii−i−i1-1-1-111-11-1111-1-111-1-1-1-111-1-111i−iii−i−iii−i−iii−i−i1-1-1-111-1-111−i−iiiii−i−iii−i−i−ii−ii−ii
χ2011-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-111-1-1-1-1-11111-1-111-1-111-1-1−i−iii1-1-1-111-11-1111-1-111-1-1-1-111-1-111−ii−i−iii−i−iii−i−iii1-1-1-111-1-111ii−i−i−i−iii−i−iiii−ii−ii−i
χ2111-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-1-1-11111-11111-1-1-1-111-1-1-1-1ii−i−i-1111-1-11-11-1-1-11111-1-111-1-111-1-1i−i−i−iiiii−i−i−i−iii-11-1-111-1-111ii−i−iii−i−i−i−iii−iii−i−ii
χ2211-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-1-1-11111-11111-1-1-1-111-1-1-1-1−i−iii-1111-1-11-11-1-1-11111-1-111-1-111-1-1−iiii−i−i−i−iiiii−i−i-11-1-111-1-111−i−iii−i−iiiii−i−ii−i−iii−i
χ2311-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-1-1-111-1-1-11111-1-1-1-11111-1-1ii−i−i-11-1-11-111-11-1-11111-1-1-1-111-1-111i−i−i−iiiii−i−i−i−iii-1111-1-111-1-1−i−iiiii−i−i−i−iiii−i−iii−i
χ2411-1-1111-1-1-1111111-1-1-1-1-1-111-111-1-1-1-111-1-1-11111-1-1-1-11111-1-1−i−iii-11-1-11-111-11-1-11111-1-1-1-111-1-111−iiii−i−i−i−iiiii−i−i-1111-1-111-1-1ii−i−i−i−iiiii−i−i−iii−i−ii
χ2511-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-111-111-1-11111-1-1-1-1-1-1ii−i−i-111-11-11-1-1111-1-1-1-11111-1-1-1-111i−iii−i−iii−i−iii−i−i-1111-1-1-1-111ii−i−i−i−iii−i−iii−ii−iii−i
χ2611-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-111-111-1-11111-1-1-1-1-1-1−i−iii-111-11-11-1-1111-1-1-1-11111-1-1-1-111−ii−i−iii−i−iii−i−iii-1111-1-1-1-111−i−iiiii−i−iii−i−ii−ii−i−ii
χ2711-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1ii−i−i-11-11-1-1111-111-1-1-1-111-1-11111-1-1i−iii−i−iii−i−iii−i−i-11-1-11111-1-1−i−iii−i−iii−i−iiii−ii−i−ii
χ2811-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-11111-1-1-1-1-111-1-11111-1-111-1-1−i−iii-11-11-1-1111-111-1-1-1-111-1-11111-1-1−ii−i−iii−i−iii−i−iii-11-1-11111-1-1ii−i−iii−i−iii−i−i−ii−iii−i
χ2911-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-111-1-11111-111-1-111-1-111-1-1-1-1ii−i−i1-11-111-1-1-11-1-111-1-11111-1-1-1-111i−i−i−iiiii−i−i−i−iii1-1-1-11111-1-1ii−i−i−i−iiiii−i−ii−i−ii−ii
χ3011-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-111-1-11111-111-1-111-1-111-1-1-1-1−i−iii1-11-111-1-1-11-1-111-1-11111-1-1-1-111−iiii−i−i−i−iiiii−i−i1-1-1-11111-1-1−i−iiiii−i−i−i−iii−iii−ii−i
χ3111-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-111-1-11111-1-1ii−i−i1-1-11-11-111-1-1-111-1-111-1-11111-1-1i−i−i−iiiii−i−i−i−iii1-111-1-1-1-111−i−iii−i−iiiii−i−i−iii−ii−i
χ3211-1-1111-1-1-1111111-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1-111-1-11111-1-1−i−iii1-1-11-11-111-1-1-111-1-111-1-11111-1-1−iiii−i−i−i−iiiii−i−i1-111-1-1-1-111ii−i−iii−i−i−i−iiii−i−ii−ii
χ3322222222222222-2-2-2-222222-2-22-22-2000000-2-2-22-22-20000002-22222000000000000002-22-200000000220000-2-2-2-20000000000000000002-22-20000000000
χ3422222222222222-2-2-2-222222-2-22-22-2000000-2-2-22-22-20000002-2-2-2-2-2000000000000002-22-200000000-2-200002222000000000000000000-22-220000000000
χ3522222222222222-2-2-2-222222-2-2-22-22000000-2-2-2-22-220000002-2222200000000000000-22-2200000000220000-2-2-2-2000000000000000000-22-220000000000
χ3622222222222222-2-2-2-222222-2-2-22-22000000-2-2-2-22-220000002-2-2-2-2-200000000000000-22-2200000000-2-2000022220000000000000000002-22-20000000000
χ37222222222222-2-2222222-2-2-22-200002-22-222-2-2-200002-22-222-22000000200002002-22-20000-2-2-2-2000000000000000000002-22-20000000000000000000000
χ38222222222222-2-2222222-2-2-22-200002-22-2-2-2-2-2-200002-22-2-2-2-22000000-20000-2002-22-20000222200000000000000000000-22-220000000000000000000000
χ39222222222222-2-2222222-2-2-22-20000-22-2222-2-2-20000-22-2222-2200000020000200-22-220000-2-2-2-200000000000000000000-22-220000000000000000000000
χ40222222222222-2-2222222-2-2-22-20000-22-22-2-2-2-2-20000-22-22-2-2-22000000-20000-200-22-2200002222000000000000000000002-22-20000000000000000000000
χ412222222222-2-2222222-2-222-2-222222222200-22-22222222200-2-200002200022000-2-2-2-2-2-2-2-20000000000000000000000-2-200000000000000000000000000
χ422222222222-2-2222222-2-222-2-222222-2-2-2-200-22-22222-2-2-2-200-2-20000-2-2000-2-20002222-2-2-2-200000000000000000000002200000000000000000000000000
χ432222222222-2-2222222-2-222-2-22-2-2-2-2222200-22-2-2-2-2-2222200-2-20000-2-2000-2-2000-2-2-2-2222200000000000000000000002200000000000000000000000000
χ442222222222-2-2222222-2-222-2-22-2-2-2-2-2-2-2-200-22-2-2-2-2-2-2-2-2-200-2-200002200022000222222220000000000000000000000-2-200000000000000000000000000
χ452222222222-2-222-2-2-2-2-2-222-22-22-22-20000002-222-22-2000000-22000000000000000000-22-22000000000022220000-2-2-2-20000000000000000002-22-2000000
χ462222222222-2-222-2-2-2-2-2-222-22-22-22-20000002-222-22-2000000-22000000000000000000-22-220000000000-2-2-2-200002222000000000000000000-22-22000000
χ472222222222-2-222-2-2-2-2-2-222-22-2-22-220000002-22-22-22000000-220000000000000000002-22-2000000000022220000-2-2-2-2000000000000000000-22-22000000
χ482222222222-2-222-2-2-2-2-2-222-22-2-22-220000002-22-22-22000000-220000000000000000002-22-20000000000-2-2-2-2000022220000000000000000002-22-2000000
χ492222222222-2-2-2-22222-2-2-2-22-2-200002-22-2002-2200002-22-2002-200000002200022-22-2200000000-2-2-2-2000000000000000000002-22-2000000000000000000
χ502222222222-2-2-2-22222-2-2-2-22-2-200002-22-2002-2200002-22-2002-20000000-2-2000-2-2-22-2200000000222200000000000000000000-22-22000000000000000000
χ512222222222-2-2-2-22222-2-2-2-22-2-20000-22-22002-220000-22-22002-2000000022000222-22-200000000-2-2-2-200000000000000000000-22-22000000000000000000
χ522222222222-2-2-2-22222-2-2-2-22-2-20000-22-22002-220000-22-22002-20000000-2-2000-2-22-22-2000000002222000000000000000000002-22-2000000000000000000
χ5322-2-2222-2-2-22222-2-222-2-2-2-22-222-2-220000002-2-22-2-22000000-222i2i−2i−2i000000000000002-2-22000000002i−2i0000−2i−2i2i2i0000000000000000002i−2i−2i2i0000000000
χ5422-2-2222-2-2-22222-2-222-2-2-2-22-222-2-220000002-2-22-2-22000000-22−2i−2i2i2i000000000000002-2-2200000000−2i2i00002i2i−2i−2i000000000000000000−2i2i2i−2i0000000000
χ5522-2-2222-2-2-22222-2-222-2-2-2-22-22-222-20000002-2-2-222-2000000-222i2i−2i−2i00000000000000-222-2000000002i−2i0000−2i−2i2i2i000000000000000000−2i2i2i−2i0000000000
χ5622-2-2222-2-2-22222-2-222-2-2-2-22-22-222-20000002-2-2-222-2000000-22−2i−2i2i2i00000000000000-222-200000000−2i2i00002i2i−2i−2i0000000000000000002i−2i−2i2i0000000000
χ5722-2-2222-2-2-222-2-222-2-2-2-222-22200002-2-22222-2-200002-2-22-2-22-200000020000-2002-2-220000-2-222000000000000000000002-2-220000000000000000000000
χ5822-2-2222-2-2-222-2-222-2-2-2-222-22200002-2-22-2-22-2-200002-2-22222-2000000-200002002-2-22000022-2-200000000000000000000-222-20000000000000000000000
χ5922-2-2222-2-2-222-2-222-2-2-2-222-2220000-222-2222-2-20000-222-2-2-22-200000020000-200-222-20000-2-22200000000000000000000-222-20000000000000000000000
χ6022-2-2222-2-2-222-2-222-2-2-2-222-2220000-222-2-2-22-2-20000-222-2222-2000000-20000200-222-2000022-2-2000000000000000000002-2-220000000000000000000000
χ6122-2-2222-2-2-2-2-22222-2-222-2-2-2-2-222-2-222-2-20022-222-2-222-2-2002200002-20002-2000-2-222-2-2220000000000000000000000-2200000000000000000000000000
χ6222-2-2222-2-2-2-2-22222-2-222-2-2-2-2-222-2-2-2-2220022-222-2-2-2-22200220000-22000-2200022-2-2-2-22200000000000000000000002-200000000000000000000000000
χ6322-2-2222-2-2-2-2-22222-2-222-2-2-2-2-2-2-22222-2-20022-2-2-22222-2-200220000-22000-22000-2-22222-2-200000000000000000000002-200000000000000000000000000
χ6422-2-2222-2-2-2-2-22222-2-222-2-2-2-2-2-2-222-2-2220022-2-2-222-2-222002200002-20002-200022-2-222-2-20000000000000000000000-2200000000000000000000000000
χ6522-2-2222-2-2-2-2-222-2-22222-2-2-2222-2-22000000-2-222-2-220000002-2000000000000000000-222-200000000002i2i−2i−2i0000−2i−2i2i2i0000000000000000002i−2i−2i2i000000
χ6622-2-2222-2-2-2-2-222-2-22222-2-2-2222-2-22000000-2-222-2-220000002-2000000000000000000-222-20000000000−2i−2i2i2i00002i2i−2i−2i000000000000000000−2i2i2i−2i000000
χ6722-2-2222-2-2-2-2-222-2-22222-2-2-222-222-2000000-2-22-222-20000002-20000000000000000002-2-2200000000002i2i−2i−2i0000−2i−2i2i2i000000000000000000−2i2i2i−2i000000
χ6822-2-2222-2-2-2-2-222-2-22222-2-2-222-222-2000000-2-22-222-20000002-20000000000000000002-2-220000000000−2i−2i2i2i00002i2i−2i−2i0000000000000000002i−2i−2i2i000000
χ6922-2-2222-2-2-2-2-2-2-222-2-222222-2200002-2-2200-2-2200002-2-2200-2200000002-20002-2-222-200000000-2-222000000000000000000002-2-22000000000000000000
χ7022-2-2222-2-2-2-2-2-2-222-2-222222-2200002-2-2200-2-2200002-2-2200-220000000-22000-22-222-20000000022-2-200000000000000000000-222-2000000000000000000
χ7122-2-2222-2-2-2-2-2-2-222-2-222222-220000-222-200-2-220000-222-200-2200000002-20002-22-2-2200000000-2-22200000000000000000000-222-2000000000000000000
χ7222-2-2222-2-2-2-2-2-2-222-2-222222-220000-222-200-2-220000-222-200-220000000-22000-222-2-220000000022-2-2000000000000000000002-2-22000000000000000000
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χ9244-4-4444-4-4-4-4-4-4-4-4-444444444-4000000000044-40000000000-4-4000000000000000000000000000000000000000000000000000000000000000000000000
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χ9444-4-44-4-444-400004-4-440000000000004040000000000-40-40000−2i−2i2i2i000000000000000000000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ9544-4-44-4-444-400004-4-44000000000000-40-4000000000040400002i2i−2i−2i00000000000000000000000000−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ9644-4-44-4-444-400004-4-44000000000000-40-400000000004040000−2i−2i2i2i000000000000000000000000002i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ9744-4-44-4-444-40000-444-4000000000004040000000000-40-4000002i2i−2i−2i00000000000000000000000000−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000
χ9844-4-44-4-444-40000-444-4000000000004040000000000-40-400000−2i−2i2i2i000000000000000000000000002i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000
χ9944-4-44-4-444-40000-444-400000000000-40-40000000000404000002i2i−2i−2i00000000000000000000000000−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i0000000000000000000000000000
χ10044-4-44-4-444-40000-444-400000000000-40-4000000000040400000−2i−2i2i2i000000000000000000000000002i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i0000000000000000000000000000
χ10144-4-4-4-44-444004-4000000-4400004040000220000-40-40000-2-200000000-222002-2-2000000002-2-222-2-22000000000000000000000000000000000000000000
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χ10344-4-4-4-44-444004-4000000-440000-40-400002200004040000-2-200000000-2-2-200222000000002-2-22-222-2000000000000000000000000000000000000000000
χ10444-4-4-4-44-444004-4000000-440000-40-40000-2-200004040000220000000022200-2-2-200000000-222-22-2-22000000000000000000000000000000000000000000
χ10544-4-4-4-44-44400-440000004-40004040000022000-40-400000-2-200000000-222002-2-200000000-222-2-222-2000000000000000000000000000000000000000000
χ10644-4-4-4-44-44400-440000004-400040400000-2-2000-40-40000022000000002-2-200-222000000002-2-222-2-22000000000000000000000000000000000000000000
χ10744-4-4-4-44-44400-440000004-4000-40-4000002200040400000-2-200000000-2-2-20022200000000-222-22-2-22000000000000000000000000000000000000000000
χ10844-4-4-4-44-44400-440000004-4000-40-400000-2-200040400000220000000022200-2-2-2000000002-2-22-222-2000000000000000000000000000000000000000000
χ1098888-88-8-88-8000000000000000000000000000000000000000000004-4000-440000000000000000000000000000000000000000000000000000000000000
χ1108888-88-8-88-800000000000000000000000000000000000000000000-440004-40000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-88-88-880000000000000000000000000000000000000000000044000-4-40000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-88-88-8800000000000000000000000000000000000000000000-4-4000440000000000000000000000000000000000000000000000000000000000000
χ1138-88i−8i0000004-40000004i−4i00000000000004-4000000000004i−4i004ζ−4ζ4ζ3−4ζ3000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ300000000000000
χ1148-88i−8i0000004-40000004i−4i00000000000004-4000000000004i−4i00−4ζ4ζ−4ζ34ζ300000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ300000000000000
χ1158-88i−8i0000004-40000004i−4i0000000000000-4400000000000−4i4i004ζ−4ζ4ζ3−4ζ300000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ300000000000000
χ1168-88i−8i0000004-40000004i−4i0000000000000-4400000000000−4i4i00−4ζ4ζ−4ζ34ζ3000000000000000000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ300000000000000
χ1178-8−8i8i0000004-4000000−4i4i00000000000004-400000000000−4i4i004ζ3−4ζ34ζ−4ζ000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ00000000000000
χ1188-8−8i8i0000004-4000000−4i4i00000000000004-400000000000−4i4i00−4ζ34ζ3−4ζ4ζ00000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ00000000000000
χ1198-8−8i8i0000004-4000000−4i4i0000000000000-44000000000004i−4i004ζ3−4ζ34ζ−4ζ00000000000000000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ00000000000000
χ1208-8−8i8i0000004-4000000−4i4i0000000000000-44000000000004i−4i00−4ζ34ζ3−4ζ4ζ000000000000000000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ00000000000000
χ12116-1616i−16i000000-88000000−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12216-16−16i16i000000-880000008i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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