Finite Group Databasebeta

← Group #72280532

Character table — Group #72280532

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106
size1111222222222222224444444444444444444444448888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1244222222244444442222222222224444444444442222222244444444224444444444444444444444444444444444444488888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ6111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111
χ121111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1
χ131111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ141111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ151111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111
χ161111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1
χ1711-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-111-1-111-1-111-1-111-1-111-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-111-1-111-1-111-1-111-1-1-1-111-11-11ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−ii−ii−ii−ii
χ2011-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-111-1-111-1-111-1-111-1-1-1-111-11-11−i−iii−i−iii-1-111-1-111−i−iii−i−iiiii−i−iii−i−ii−ii−ii−ii−i
χ2111-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2211-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-1-1-111-1-111-1-111-1-11111-1-11-11-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2311-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-111-11-11ii−i−iii−i−i11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−ii−ii−ii
χ2411-1-111-1-11-1-11111-1-1-111-1111-1-1-11-1-1111-1-1-1111-1-1-1-1-111-1-111-1-111-1-111-1-111-11-11−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−ii−ii−i
χ2511-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-11ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2611-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1111-1-111-1-11−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2711-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-111-1-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i−iii−i−iii−i
χ2811-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-111-111-1-111-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iiii−i−iii−i−ii
χ2911-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11-1-111-1-11ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ3011-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-11-1-111-1-11−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii−iii−i−iii−i
χ3111-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-1-111-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii−iii−i−iii−i
χ3211-1-1-1-1111-1-111-1-111-111-1-1-1-11111-1-1111-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-111-1-111-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−ii−i−iii−i−ii
χ332222222222222222222-2-22-2-22-2-2-22-22-2-22-2-22-2-22-2-2000000000000000000000000000000000000000000000000000000002222-2-2-2-2
χ342222222222222222222-2-22-2-22-2-2-22-22-2-22-2-22-2-22-2-200000000000000000000000000000000000000000000000000000000-2-2-2-22222
χ35222222222222222222-22-2-22-2-22-2-2-22-22-2-22-2-22-2-22-20000000000000000000000002-22-22-22-200000000000000000000000000000000
χ36222222222222222222-22-2-22-2-22-2-2-22-22-2-22-2-22-2-22-2000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ37222222222222222222-2-22-2-22-2-222-2-2-2-22-2-22-2-22-2-2200000000000000002222-2-2-2-20000000000000000000000000000000000000000
χ38222222222222222222-2-22-2-22-2-222-2-2-2-22-2-22-2-22-2-220000000000000000-2-2-2-222220000000000000000000000000000000000000000
χ39222222-2-22-2-2-2-2-2-222222222-2-2-22-2-2-2-2-2222-2-2-2222-200000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ40222222-2-22-2-2-2-2-2-222222222-2-2-22-2-2-2-2-2222-2-2-2222-20000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ41222222-2-22-2-2-2-2-2-22222-2-22-22-22-22-22-22-22-22-22-22-22000000000000000000000000000000002-22-22-22-2000000000000000000000000
χ42222222-2-22-2-2-2-2-2-22222-2-22-22-22-22-22-22-22-22-22-22-2200000000000000000000000000000000-22-22-22-22000000000000000000000000
χ43222222-2-22-2-2-2-2-2-2222-22-2-2222-2-222-22-2-2-2222-2-2-2222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000
χ44222222-2-22-2-2-2-2-2-2222-22-2-2222-2-222-22-2-2-2222-2-2-222-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000
χ45222222-2-22-2-2-2-2-2-2222-2-22-2-2-2222-222222-2-2-2222-2-2-20000000000000000000000000000000000000000000000002-22-22-22-200000000
χ46222222-2-22-2-2-2-2-2-2222-2-22-2-2-2222-222222-2-2-2222-2-2-2000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ472222-2-2222-2-2-2-222-2-22222-2-2222-2-2-2-2-2-2222-222-2-2-2200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ482222-2-2222-2-2-2-222-2-22222-2-2222-2-2-2-2-2-2222-222-2-2-220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ492222-2-2222-2-2-2-222-2-222-2-2-22-22-222-22-22-22-222-22-22-2000000000000000000000000000000002-22-2-22-22000000000000000000000000
χ502222-2-2222-2-2-2-222-2-222-2-2-22-22-222-22-22-22-222-22-22-200000000000000000000000000000000-22-222-22-2000000000000000000000000
χ512222-2-2222-2-2-2-222-2-22-22-22-2-2-22222-22-2-2-222-2222-2-22-22-2-22-222-22-2-22-22000000000000000000000000000000000000000000000000
χ522222-2-2222-2-2-2-222-2-22-22-22-2-2-22222-22-2-2-222-2222-2-2-22-222-22-2-22-222-22-2000000000000000000000000000000000000000000000000
χ532222-2-2222-2-2-2-222-2-22-2-22222-2-2-2-222222-2-2-2-2-2-22220000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ542222-2-2222-2-2-2-222-2-22-2-22222-2-2-2-222222-2-2-2-2-2-2222000000000000000000000000000000000000000000000000-22-222-22-200000000
χ552222-2-2-2-222222-2-2-2-222-2-2-222-222-22-22-2-22-2-2-222-2220000000000000000000000000000000000000000000000000000000022-2-2-2-222
χ562222-2-2-2-222222-2-2-2-222-2-2-222-222-22-22-2-22-2-2-222-22200000000000000000000000000000000000000000000000000000000-2-22222-2-2
χ572222-2-2-2-222222-2-2-2-22-22-22-222-22-2-22-22-2-22-22-222-220000000000000000000000002-22-2-22-2200000000000000000000000000000000
χ582222-2-2-2-222222-2-2-2-22-22-22-222-22-2-22-22-2-22-22-222-22000000000000000000000000-22-222-22-200000000000000000000000000000000
χ592222-2-2-2-222222-2-2-2-22-2-2222-222-22-2-2-2-22-2-2222-222-200000000000000002-22-2-2-2220000000000000000000000000000000000000000
χ602222-2-2-2-222222-2-2-2-22-2-2222-222-22-2-2-2-22-2-2222-222-20000000000000000-22-2222-2-20000000000000000000000000000000000000000
χ6122-2-22222222-2-2-2-2-2-2-222-222-222-2-222-2-22-2-22-2-22-2-2200000000000000000000000000000000000000002-2-222-2-220000000000000000
χ6222-2-22222222-2-2-2-2-2-2-222-222-222-2-222-2-22-2-22-2-22-2-220000000000000000000000000000000000000000-222-2-222-20000000000000000
χ6322-2-22222222-2-2-2-2-2-2-22-222-222-2222-2-22-2-22-2-22-2-22-2000000000000000000000000000000002-2-222-2-22000000000000000000000000
χ6422-2-22222222-2-2-2-2-2-2-22-222-222-2222-2-22-2-22-2-22-2-22-200000000000000000000000000000000-222-2-222-2000000000000000000000000
χ6522-2-22222222-2-2-2-2-2-2-2-222-222-2222-222-2-22-2-22-2-22-2-22-2-222-2-222-2-222-2-22000000000000000000000000000000000000000000000000
χ6622-2-22222222-2-2-2-2-2-2-2-222-222-2222-222-2-22-2-22-2-22-2-2-222-2-222-2-222-2-222-2000000000000000000000000000000000000000000000000
χ6722-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ6822-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ6922-2-222-2-22-2-22222-2-2-22-222-2-2-222-2-222-2-2-2222-2-2-222000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ7022-2-222-2-22-2-22222-2-2-22-222-2-2-222-2-222-2-2-2222-2-2-22200000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ7122-2-222-2-22-2-22222-2-2-2-222-22-22-22-22-2-22-22-22-22-22-220000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ7222-2-222-2-22-2-22222-2-2-2-222-22-22-22-22-2-22-22-22-22-22-22000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ7322-2-222-2-22-2-22222-2-2-2-2-2-2-2-2222-2222-2-2222-2-2-2222-2000000000000000022-2-2-22-220000000000000000000000000000000000000000
χ7422-2-222-2-22-2-22222-2-2-2-2-2-2-2-2222-2222-2-2222-2-2-2222-20000000000000000-2-2222-22-20000000000000000000000000000000000000000
χ7522-2-2-2-2222-2-222-2-222-22-22-2222-2-2-2-222-2-2-222-2222-2-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i
χ7622-2-2-2-2222-2-222-2-222-22-22-2222-2-2-2-222-2-2-222-2222-2-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i
χ7722-2-2-2-2222-2-222-2-222-2-2222-22-22-2-22-2-22-22-222-22-22-20000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ7822-2-2-2-2222-2-222-2-222-2-2222-22-22-2-22-2-22-22-222-22-22-2000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ7922-2-2-2-2222-2-222-2-222-2-2-2-222-2-2-22222-2-2222-222-2-2-2200000000000000002-2-22-222-20000000000000000000000000000000000000000
χ8022-2-2-2-2222-2-222-2-222-2-2-2-222-2-2-22222-2-2222-222-2-2-220000000000000000-222-22-2-220000000000000000000000000000000000000000
χ8122-2-2-2-2-2-2222-2-22222-222-2-2-22-2-22-222-2-22-2-2222-222-200000000000000000000000000000000000000002-2-22-222-20000000000000000
χ8222-2-2-2-2-2-2222-2-22222-222-2-2-22-2-22-222-2-22-2-2222-222-20000000000000000000000000000000000000000-222-22-2-220000000000000000
χ8322-2-2-2-2-2-2222-2-22222-22-22-22-2-22-222-2-22-2-22-22-222-22000000000000000000000000000000002-2-22-222-2000000000000000000000000
χ8422-2-2-2-2-2-2222-2-22222-22-22-22-2-22-222-2-22-2-22-22-222-2200000000000000000000000000000000-222-22-2-22000000000000000000000000
χ8522-2-2-2-2-2-2222-2-22222-2-2222-2-22-2-22-222-2-22-2-2-222-2222-2-22-222-22-2-22-222-2000000000000000000000000000000000000000000000000
χ8622-2-2-2-2-2-2222-2-22222-2-2222-2-22-2-22-222-2-22-2-2-222-222-222-22-2-22-222-22-2-22000000000000000000000000000000000000000000000000
χ8722-2-2-2-2-2-2222-2-22222-2-2-2-2222222-2-2-2222222-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ8822-2-2-2-2-2-2222-2-22222-2-2-2-2222222-2-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ8944444-44-4-44-44-44-44-4-400000000000000000000000022-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ9044444-44-4-44-44-44-44-4-4000000000000000000000000-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ9144444-4-44-4-44-44-444-4-40000000000000000000000002-2-222-2-22-222-2-222-2000000000000000000000000000000000000000000000000
χ9244444-4-44-4-44-44-444-4-4000000000000000000000000-222-2-222-22-2-222-2-22000000000000000000000000000000000000000000000000
χ934444-444-4-4-44-444-4-44-40000000000000000000000002-2-22-222-2-222-22-2-22000000000000000000000000000000000000000000000000
χ944444-444-4-4-44-444-4-44-4000000000000000000000000-222-22-2-222-2-22-222-2000000000000000000000000000000000000000000000000
χ954444-44-44-44-44-4-44-44-400000000000000000000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ964444-44-44-44-44-4-44-44-4000000000000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ9744-4-44-44-4-44-4-44-44-4440000000000000000000000002-22-22-22-2-22-22-22-22000000000000000000000000000000000000000000000000
χ9844-4-44-44-4-44-4-44-44-444000000000000000000000000-22-22-22-222-22-22-22-2000000000000000000000000000000000000000000000000
χ9944-4-44-4-44-4-444-44-4-44400000000000000000000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ10044-4-44-4-44-4-444-44-4-444000000000000000000000000-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ10144-4-4-444-4-4-444-4-444-440000000000000000000000002222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ10244-4-4-444-4-4-444-4-444-44000000000000000000000000-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ10344-4-4-44-44-44-4-444-44-440000000000000000000000002-22-2-22-22-22-222-22-2000000000000000000000000000000000000000000000000
χ10444-4-4-44-44-44-4-444-44-44000000000000000000000000-22-222-22-22-22-2-22-22000000000000000000000000000000000000000000000000
χ10516-1616i−16i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10616-16−16i16i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).