Finite Group Databasebeta

← Group #72313752

Character table — Group #72313752

Order 2048.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134
size11112222224444444444444444444488888888888888888888888888888888161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232646464646464
order1222224444222222222244444488884444444444444444444444444488888822222222444444444444444444444488888888888816161616161616168888161616161616161616161616448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1
χ9111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-1-1-1
χ10111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111
χ11111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ12111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ13111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111
χ14111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ15111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ16111111111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ1711-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−i11-11-1-111-1-111-1-1ii−i−i11-1-111-1-1iii−i−i−iii−i−i1-1i−ii−i1-1i−ii−i1111-1-1-1-1ii−i−i11-1-1ii−i−iii−i−i1-1i−i1-1
χ1811-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1ii−i−iii−i−i11-1-1ii−i−iii−i−iii−i−i11-11-1-111-1-111-1-1ii−i−i11-1-111-1-1iii−i−i−iii−i−i1-1i−ii−i1-1i−ii−i-1-1-1-11111−i−iii-1-111−i−iii−i−iii-11−ii-11
χ1911-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1ii−i−iii−i−i11-1-1ii−i−iii−i−i−i−iii11-11-1-1-1-111-1-111−i−iii-1-111-1-111−i−i−iiii−i−iii1-1i−ii−i1-1i−ii−i1111-1-1-1-1−i−iii11-1-1ii−i−iii−i−i-11−ii-11
χ2011-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1ii−i−iii−i−i11-1-1ii−i−iii−i−i−i−iii11-11-1-1-1-111-1-111−i−iii-1-111-1-111−i−i−iiii−i−iii1-1i−ii−i1-1i−ii−i-1-1-1-11111ii−i−i-1-111−i−iii−i−iii1-1i−i1-1
χ2111-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1−i−iii−i−iii11-1-1−i−iii−i−iiiii−i−i11-11-1-1-1-111-1-111ii−i−i-1-111-1-111iii−i−i−iii−i−i1-1−ii−ii1-1−ii−ii1111-1-1-1-1ii−i−i11-1-1−i−iii−i−iii-11i−i-11
χ2211-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1−i−iii−i−iii11-1-1−i−iii−i−iiiii−i−i11-11-1-1-1-111-1-111ii−i−i-1-111-1-111iii−i−i−iii−i−i1-1−ii−ii1-1−ii−ii-1-1-1-11111−i−iii-1-111ii−i−iii−i−i1-1−ii1-1
χ2311-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii11-11-1-111-1-111-1-1−i−iii11-1-111-1-1−i−i−iiii−i−iii1-1−ii−ii1-1−ii−ii1111-1-1-1-1−i−iii11-1-1−i−iii−i−iii1-1−ii1-1
χ2411-1-11-11-11-111-1-1-111-1-1111-1-11-11-1-111-1−i−iii−i−iii11-1-1−i−iii−i−iii−i−iii11-11-1-111-1-111-1-1−i−iii11-1-111-1-1−i−i−iiii−i−iii1-1−ii−ii1-1−ii−ii-1-1-1-11111ii−i−i-1-111ii−i−iii−i−i-11i−i-11
χ2511-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i11-11-1-111-1-1-1-111−i−iii11-1-1-1-111iii−i−i−i−i−iii-11i−i−ii-11i−i−ii1111-1-1-1-1ii−i−i-1-111ii−i−i−i−iii1-1−ii-11
χ2611-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11ii−i−i−i−iii-1-111ii−i−i−i−iiiii−i−i11-11-1-111-1-1-1-111−i−iii11-1-1-1-111iii−i−i−i−i−iii-11i−i−ii-11i−i−ii-1-1-1-11111−i−iii11-1-1−i−iiiii−i−i-11i−i1-1
χ2711-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11ii−i−i−i−iii-1-111ii−i−i−i−iii−i−iii11-11-1-1-1-11111-1-1ii−i−i-1-11111-1-1−i−i−iiiiii−i−i-11i−i−ii-11i−i−ii1111-1-1-1-1−i−iii-1-111ii−i−i−i−iii-11i−i1-1
χ2811-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11ii−i−i−i−iii-1-111ii−i−i−i−iii−i−iii11-11-1-1-1-11111-1-1ii−i−i-1-11111-1-1−i−i−iiiiii−i−i-11i−i−ii-11i−i−ii-1-1-1-11111ii−i−i11-1-1−i−iiiii−i−i1-1−ii-11
χ2911-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11−i−iiiii−i−i-1-111−i−iiiii−i−iii−i−i11-11-1-1-1-11111-1-1−i−iii-1-11111-1-1iii−i−i−i−i−iii-11−iii−i-11−iii−i1111-1-1-1-1ii−i−i-1-111−i−iiiii−i−i-11−ii1-1
χ3011-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11−i−iiiii−i−i-1-111−i−iiiii−i−iii−i−i11-11-1-1-1-11111-1-1−i−iii-1-11111-1-1iii−i−i−i−i−iii-11−iii−i-11−iii−i-1-1-1-11111−i−iii11-1-1ii−i−i−i−iii1-1i−i-11
χ3111-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iii11-11-1-111-1-1-1-111ii−i−i11-1-1-1-111−i−i−iiiiii−i−i-11−iii−i-11−iii−i1111-1-1-1-1−i−iii-1-111−i−iiiii−i−i1-1i−i-11
χ3211-1-11-11-11-111-1-1-1-1-111111-1-11-11-1-11-11−i−iiiii−i−i-1-111−i−iiiii−i−i−i−iii11-11-1-111-1-1-1-111ii−i−i11-1-1-1-111−i−i−iiiiii−i−i-11−iii−i-11−iii−i-1-1-1-11111ii−i−i11-1-1ii−i−i−i−iii-11−ii1-1
χ3322222222222222222222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ3422222222222222222222222222-2-2-2-222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-20000-2-2-2-2-2-2000000000000000000000000000000-2-22222-2-22222000000000000000000000000000000
χ35222222222222222-2-2-2-22222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000-2-2-2-2-2-200000000000000000000000000000022-2-22222-2-222000000000000000000000000000000
χ36222222222222222-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222220000-2-2-2-2-2-20000000000000000000000000000002222-2-22222-2-2000000000000000000000000000000
χ3722222222222-22-2-20000-2-2-22-22-22222000000222200000000-2-2-2-222222-2-2-22-20000-2-2-2-20000000022222-2-22-2-200000000220000-2-2000000000000000000000000000000
χ3822222222222-22-2-20000-2-2-22-22-22222000000222200000000-2-2-2-2-2-2-2-22-2-2-22-20000222200000000-2-2-2-2-222-22200000000220000-2-2000000000000000000000000000000
χ3922222222222-22-2-20000-2-2-22-22-22222000000-2-2-2-200000000222222222-2-2-22-20000222200000000-2-2-2-22-2-22-2-200000000-2-2000022000000000000000000000000000000
χ4022222222222-22-2-20000-2-2-22-22-22222000000-2-2-2-2000000002222-2-2-2-22-2-2-22-20000-2-2-2-2000000002222-222-22200000000-2-2000022000000000000000000000000000000
χ4122222222222-22-2-20000-2-2-22-22-2-2-2-2-2000000222200000000-2-2-2-20000-2222-222-22-200002-22-22-22-200000000002-22-20000-2-2000022000000000000000000000000000000
χ4222222222222-22-2-20000-2-2-22-22-2-2-2-2-2000000222200000000-2-2-2-20000-2222-22-22-220000-22-22-22-220000000000-22-220000-2-2000022000000000000000000000000000000
χ4322222222222-22-2-20000-2-2-22-22-2-2-2-2-2000000-2-2-2-20000000022220000-2222-222-22-20000-22-222-22-20000000000-22-220000220000-2-2000000000000000000000000000000
χ4422222222222-22-2-20000-2-2-22-22-2-2-2-2-2000000-2-2-2-20000000022220000-2222-22-22-2200002-22-2-22-2200000000002-22-20000220000-2-2000000000000000000000000000000
χ452222222222-22-22-22222-22-2-2-2-2222222200000000-2-2-2-2000000002222-2-222-2-200000000-2-2-2-200000000-22-2-22-22222-2-20000220000000000000000000000000000000000
χ462222222222-22-22-22222-22-2-2-2-2222222200000000-2-2-2-200000000-2-2-2-2-2-222-2-2000000002222000000002-222-22-2-2-2-2-2-20000220000000000000000000000000000000000
χ472222222222-22-22-22222-22-2-2-2-22-2-2-2-22200000000-2-2-2-200000000000022-2-2222-22-22-22-20000-22-222-22-20000000000220000-2-20000000000000000000000000000000000
χ482222222222-22-22-22222-22-2-2-2-22-2-2-2-22200000000-2-2-2-200000000000022-2-222-22-22-22-2200002-22-2-22-220000000000220000-2-20000000000000000000000000000000000
χ492222222222-22-22-2-2-2-2-2-22-2-2-2-222222-2-2000000002222000000002222-2-222-2-200000000222200000000-22-2-22-2-2-2-2-2220000-2-20000000000000000000000000000000000
χ502222222222-22-22-2-2-2-2-2-22-2-2-2-222222-2-200000000222200000000-2-2-2-2-2-222-2-200000000-2-2-2-2000000002-222-222222220000-2-20000000000000000000000000000000000
χ512222222222-22-22-2-2-2-2-2-22-2-2-2-22-2-2-2-2-2-200000000222200000000000022-2-2222-22-2-22-220000-22-22-22-220000000000-2-20000220000000000000000000000000000000000
χ522222222222-22-22-2-2-2-2-2-22-2-2-2-22-2-2-2-2-2-200000000222200000000000022-2-222-22-222-22-200002-22-22-22-20000000000-2-20000220000000000000000000000000000000000
χ532222222222-2-2-2-2200002-22-22-2-2222200222200000000-2-2-2-200002222-22-2-2-22-2-2-2-20000000022220000-2-22-2-22000000220000-2-200000000000000000000000000000000
χ542222222222-2-2-2-2200002-22-22-2-2222200222200000000-2-2-2-20000-2-2-2-2-22-2-2-22222200000000-2-2-2-2000022-222-2000000220000-2-200000000000000000000000000000000
χ552222222222-2-2-2-2200002-22-22-2-2222200-2-2-2-200000000222200002222-22-2-2-22222200000000-2-2-2-20000-2-22-2-22000000-2-200002200000000000000000000000000000000
χ562222222222-2-2-2-2200002-22-22-2-2222200-2-2-2-20000000022220000-2-2-2-2-22-2-2-22-2-2-2-2000000002222000022-222-2000000-2-200002200000000000000000000000000000000
χ572222222222-2-2-2-2200002-22-22-2-2-2-2-2-200222200000000-2-2-2-2000000002-2222-200002-22-2-22-220000-22-220000002-22-200-2-200002200000000000000000000000000000000
χ582222222222-2-2-2-2200002-22-22-2-2-2-2-2-200222200000000-2-2-2-2000000002-2222-20000-22-222-22-200002-22-2000000-22-2200-2-200002200000000000000000000000000000000
χ592222222222-2-2-2-2200002-22-22-2-2-2-2-2-200-2-2-2-2000000002222000000002-2222-200002-22-22-22-20000-22-22000000-22-2200220000-2-200000000000000000000000000000000
χ602222222222-2-2-2-2200002-22-22-2-2-2-2-2-200-2-2-2-2000000002222000000002-2222-20000-22-22-22-2200002-22-20000002-22-200220000-2-200000000000000000000000000000000
χ61222222-2-2-2-22222-22222-2-22-22-2-20000-2-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
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χ63222222-2-2-2-22222-22222-2-22-22-2-20000-2-2-22-22-22-222-22-2-22-22-22-220000000000000000000000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000
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χ65222222-2-2-2-22222-2-2-2-2-2-2-22-22-2-20000222-22-2-22-22-22-222-22-2-22-220000000000000000000000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000
χ66222222-2-2-2-22222-2-2-2-2-2-2-22-22-2-20000222-22-2-22-22-22-222-22-2-22-220000000000000000000000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000
χ67222222-2-2-2-22222-2-2-2-2-2-2-22-22-2-2000022-22-222-22-2-22-22-22-222-22-20000000000000000000000000000000000000000000000000000i2i2−i2−i2i2i2−i2−i20000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000
χ68222222-2-2-2-22222-2-2-2-2-2-2-22-22-2-2000022-22-222-22-2-22-22-22-222-22-20000000000000000000000000000000000000000000000000000−i2−i2i2i2−i2−i2i2i20000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000
χ6922-2-22-22-22-222-2-2-222-2-2222-2-22-2-222-22-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2i2i−2i−2i0000-2-22-222000000000000000000000000000000-22−2i2i−2i2i-22−2i2i−2i2i000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).