Finite Group Databasebeta

← Group #72317127

Character table — Group #72317127

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142
size1122222224444444444888888888888888881616161616161616161616161616161616161616161616161616161616161616161616161616161632323232323232323232323232323232323232323232323232323232323232323232323232323232323232323232646464646464646464646464128128128128128128128128
order1222222222222222222222222222222244442222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ51111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111-1-111-1-1
χ91111111111111111111111111111-1-11111-1-11-1-1-111-1-1111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111111111111111-1-11111-1-11-1-1-111-1-1111-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ111111111111111111111111111111-1-11111-1-11-1-1-111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ121111111111111111111111111111-1-11111-1-11-1-1-111-1-1111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1
χ131111111111111111111111111111-1-11111-1-11-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ141111111111111111111111111111-1-11111-1-11-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1
χ151111111111111111111111111111-1-11111-1-11-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111111111111111-1-11111-1-11-1-1-1-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-111-1-1-1-111
χ1711111111111-111-1-1-11111111-1-1-1-111-1-1111111111111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111111111ii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ1811111111111-111-1-1-11111111-1-1-1-111-1-1111111111111-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ1911111111111-111-1-1-11111111-1-1-1-111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1−i−iiiii−i−i−i−iiii−i−iii−i−ii
χ2011111111111-111-1-1-11111111-1-1-1-111-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1ii−i−i−i−iiiii−i−i−iii−i−iii−i
χ2111111111111-111-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-111111111iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ2211111111111-111-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-1-1-1-111111111−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ2311111111111-111-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111111111−i−iiiii−i−i−i−iii−iii−i−iii−i
χ2411111111111-111-1-1-11111111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111111111ii−i−i−i−iiiii−i−ii−i−iii−i−ii
χ2511111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ2611111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ2711111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−iii−i−iiiii−i−ii−i−ii−iii−i
χ2811111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−iii−iii−ii−i−ii
χ2911111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-11111ii−i−i−i−iii−i−iii−ii−iii−ii−i
χ3011111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-11-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-11111−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ3111111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-11111iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−i−iii−ii−i−ii
χ3211111111111-111-1-1-11111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-11111−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iiii−i−ii−iii−i
χ332222222222222222222222-2-222222222-2-222-22-2-20000-2-2-22-2-2000022222222-2-2-2-22222-2-2-2-2-2-200000000-2-20000000000000000000022-2-222-2-20000000000000000000000000000
χ342222222222222222222222-2-222222222-2-222-22-2-20000-2-2-22-2-200002222-2-2-2-22222-2-2-2-22222-2-200000000-2-200000000000000000000-2-222-2-2220000000000000000000000000000
χ352222222222222222222222-2-22222-2-222-2-2-2-2-2-2220000-2-2-2-2220000-2-2-2-22222-2-2-2-2-2-2-2-22222-2-200000000220000000000000000000022-2-2-2-2220000000000000000000000000000
χ362222222222222222222222-2-22222-2-222-2-2-2-2-2-2220000-2-2-2-2220000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2000000002200000000000000000000-2-22222-2-20000000000000000000000000000
χ37222222222222-2-2222-2-22-2-22222-2-200-2-2-2-20020002-20022-20002-2000000000000002i2i−2i−2i2i2i−2i−2i-2-222-2-20000002-20000002i2i−2i−2i0000000000002i−2i2i−2i00002i2i−2i−2i00000000000000000000
χ38222222222222-2-2222-2-22-2-22222-2-200-2-2-2-20020002-20022-20002-200000000000000−2i−2i2i2i−2i−2i2i2i-2-222-2-20000002-2000000−2i−2i2i2i000000000000−2i2i−2i2i0000−2i−2i2i2i00000000000000000000
χ39222222222222-2-2222-2-22-2-22222-2-200-2-2-2-2002000-220022-2000-22000000000000002i2i−2i−2i2i2i−2i−2i-2-2-2-222000000-22000000−2i−2i2i2i0000000000002i−2i2i−2i0000−2i−2i2i2i00000000000000000000
χ40222222222222-2-2222-2-22-2-22222-2-200-2-2-2-2002000-220022-2000-2200000000000000−2i−2i2i2i−2i−2i2i2i-2-2-2-222000000-220000002i2i−2i−2i000000000000−2i2i−2i2i00002i2i−2i−2i00000000000000000000
χ41222222222222-2-2222-2-22-2-2-2-222-2-200-2-22200-2000002-2-2-22000002-20000000000002i2i−2i−2i−2i−2i2i2i22000022-2-200002-22i2i−2i−2i00000000000000002i−2i−2i2i2i2i−2i−2i000000000000000000000000
χ42222222222222-2-2222-2-22-2-2-2-222-2-200-2-22200-2000002-2-2-22000002-2000000000000−2i−2i2i2i2i2i−2i−2i22000022-2-200002-2−2i−2i2i2i0000000000000000−2i2i2i−2i−2i−2i2i2i000000000000000000000000
χ43222222222222-2-2222-2-22-2-2-2-222-2-200-2-22200-200000-22-2-2200000-220000000000002i2i−2i−2i−2i−2i2i2i220000-2-2220000-22−2i−2i2i2i00000000000000002i−2i−2i2i−2i−2i2i2i000000000000000000000000
χ44222222222222-2-2222-2-22-2-2-2-222-2-200-2-22200-200000-22-2-2200000-22000000000000−2i−2i2i2i2i2i−2i−2i220000-2-2220000-222i2i−2i−2i0000000000000000−2i2i2i−2i2i2i−2i−2i000000000000000000000000
χ4522222222222-222-2-2-222222-2-2-2-2-2-222-2-2-2-222-22-2-2000022-22-2-20000-2-2-2-22222-2-2-2-22222-2-2-2-222000000002200000000000000000000-2-222-2-2220000000000000000000000000000
χ4622222222222-222-2-2-222222-2-2-2-2-2-222-2-2-2-222-22-2-2000022-22-2-20000-2-2-2-2-2-2-2-22222-2-2-2-222222200000000220000000000000000000022-2-222-2-20000000000000000000000000000
χ4722222222222-222-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000022-2-222000022222222-2-2-2-2-2-2-2-222222200000000-2-200000000000000000000-2-22222-2-20000000000000000000000000000
χ4822222222222-222-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222000022-2-22200002222-2-2-2-222222222-2-2-2-22200000000-2-20000000000000000000022-2-2-2-2220000000000000000000000000000
χ4922222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-20020002-200-2-2-20002-2000000000000002i2i−2i−2i2i2i−2i−2i22-2-2220000002-2000000−2i−2i2i2i000000000000−2i2i−2i2i00002i2i−2i−2i00000000000000000000
χ5022222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-20020002-200-2-2-20002-200000000000000−2i−2i2i2i−2i−2i2i2i22-2-2220000002-20000002i2i−2i−2i0000000000002i−2i2i−2i0000−2i−2i2i2i00000000000000000000
χ5122222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-2002000-2200-2-2-2000-22000000000000002i2i−2i−2i2i2i−2i−2i2222-2-2000000-220000002i2i−2i−2i000000000000−2i2i−2i2i0000−2i−2i2i2i00000000000000000000
χ5222222222222-2-2-2-2-2-2-2-22-2-222-2-2220022-2-2002000-2200-2-2-2000-2200000000000000−2i−2i2i2i−2i−2i2i2i2222-2-2000000-22000000−2i−2i2i2i0000000000002i−2i2i−2i00002i2i−2i−2i00000000000000000000
χ5322222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-22200222200-2000002-2222000002-20000000000002i2i−2i−2i−2i−2i2i2i-2-20000-2-22200002-2−2i−2i2i2i0000000000000000−2i2i2i−2i2i2i−2i−2i000000000000000000000000
χ5422222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-22200222200-2000002-2222000002-2000000000000−2i−2i2i2i2i2i−2i−2i-2-20000-2-22200002-22i2i−2i−2i00000000000000002i−2i−2i2i−2i−2i2i2i000000000000000000000000
χ5522222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-22200222200-200000-2222200000-220000000000002i2i−2i−2i−2i−2i2i2i-2-2000022-2-20000-222i2i−2i−2i0000000000000000−2i2i2i−2i−2i−2i2i2i000000000000000000000000
χ5622222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-22200222200-200000-2222200000-22000000000000−2i−2i2i2i2i2i−2i−2i-2-2000022-2-20000-22−2i−2i2i2i00000000000000002i−2i−2i2i2i2i−2i−2i000000000000000000000000
χ57222222222-2-2222-2-2222-2-2-2222-22-2222-22222-2-22-222222-2-2-22-2222222-2-200000000000000002-22-22-22-22-22-2-2-2-2-20000000000000000000000000000000000000000000000000000
χ58222222222-2-2222-2-2222-2-2-2222-22-2222-22222-2-22-2-2-2-2-22-2-2-22-2-2-2-2-222-2-200000000000000002-2-22-22-22-222-222220000000000000000000000000000000000000000000000000000
χ59222222222-2-2222-2-2222-2-2-2222-22-2-2-22-222-2-2-22-2222-2-22-2-22-2222-2-2-2-22200000000000000002-22-22-2-22-22-22-2-2220000000000000000000000000000000000000000000000000000
χ60222222222-2-2222-2-2222-2-2-2222-22-2-2-22-222-2-2-22-22-2-2222-2-22-22-2-222-2-22200000000000000002-2-22-222-22-2-2222-2-20000000000000000000000000000000000000000000000000000
χ61222222222-2-2222-2-2222-2-2-2-2-22-22-2222-2-2-2222-2-220000-222-2-22000022-2-20000000000000000-2200000000-2200002-22-22-22-200000000000000002-22-22-22-200000000000000000000
χ62222222222-2-2222-2-2222-2-2-2-2-22-22-2222-2-2-2222-2-220000-222-2-22000022-2-20000000000000000-2200000000-220000-22-22-22-220000000000000000-22-22-22-2200000000000000000000
χ63222222222-2-2222-2-2222-2-2-2-2-22-22-2-2-22-2-2-2-2-2222-20000-22222-20000-2-2220000000000000000-22000000002-200002-22-2-22-2200000000000000002-22-2-22-2200000000000000000000
χ64222222222-2-2222-2-2222-2-2-2-2-22-22-2-2-22-2-2-2-2-2222-20000-22222-20000-2-2220000000000000000-22000000002-20000-22-222-22-20000000000000000-22-222-22-200000000000000000000
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Here i is the imaginary unit (i² = −1).