Finite Group Databasebeta

← Group #72256437

Character table — Group #72256437

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size1122244444444444444444444888888888888888888888888888881616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222444444222222222222222222222222444442222222222224444444444442244444444444444448888888844444444444444444444888844448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−iii−i−iii
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−iii−i−iii
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111ii−i−iii−i−i
χ91111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-11-11-1
χ101111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-11-11
χ111111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-11-11-11-11
χ121111111111111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-11111111111111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111-11-11-11-1
χ131111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii1111i−i−iii−i−ii
χ141111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111111-1-111-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i1111−iii−i−iii−i
χ151111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1−iii−i−iii−i
χ161111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1i−i−iii−i−ii
χ17111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-11-111-1-111-1-11111-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1i−i−ii−iii−i
χ18111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-11-11-111-1-111-1-11111-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−iii−ii−i−ii
χ19111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11-1111-1-111-1-111-1-111-1-1-1-11111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111−iii−ii−i−ii
χ20111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11-1111-1-111-1-111-1-111-1-1-1-11111-1-111−i−iii−i−iii−i−iii−i−iii-1-111i−i−ii−iii−i
χ21111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111111-11-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1111-11-1-11-11
χ22111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-11111111-11-111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-11-111-11-1
χ23111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-11-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-111-11-1
χ24111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-111-1-1111111-11-1111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-11-11-1-11-11
χ25111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-11-1-1-111-1-1111111-1-11111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-111ii−i−i−i−iii
χ26111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11-11-1-1-111-1-1111111-1-11111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-111−i−iiiii−i−i
χ27111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-11-1-111-1-11111-1-111-1-1-1-1111111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1−i−iiiii−i−i
χ28111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-11-11-1-111-1-11111-1-111-1-1-1-1111111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1ii−i−i−i−iii
χ29111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-1111111111-11-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1
χ30111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-1111111111-11-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-11111
χ31111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-11-11-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111
χ32111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111-1-111-1-1-1-111111111-11-11-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-1-1-1
χ33222222222222222222222222222222222222222222222222222222-2-222222222-2-2-2-22222-2-2-2-2-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ34222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-222-2-22222-2-2-2-2220000-2-2-2-222222200000000000000000000000000000000000000000000
χ352222222222222-2-2-2-22222222222-2-2-2-2-2-222222222-2-2-2-2222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000022222222-2-200000000000000000000000000000000000000000000
χ362222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22200002222-2-2-2-22200000000000000000000000000000000000000000000
χ37222222222-2-2-2-2222222222222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22-2-2-2-222-2-22222-2-2222222-2-2-2-2-2-2220000-2-222-2-222-2-200000000000000000000000000000000000000000000
χ38222222222-2-2-2-2222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-22222-2-2-2-222-2-22222-2-2-2-2-2-2-2-20000-2-22222-2-22200000000000000000000000000000000000000000000
χ39222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222222222222222-2-2-2-22-2-2-2-222-2-2-2-2-2-2222222-2-222-2-2-2-222000022-2-222-2-2-2-200000000000000000000000000000000000000000000
χ40222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-222222222-2-2-2-222-2-222-2-2-2-2-2-2000022-2-2-2-2222200000000000000000000000000000000000000000000
χ412222222-2-222-2-20000-2-2222-2-222-20000002222-2-2-2-200002222-222-2-22-2-2-20000002-22-2000022-2-22-20000000000002-2000000000000000000002-22-200002-22-2000000000000
χ422222222-2-222-2-20000-2-2222-2-222-20000002222-2-2-2-200002222-222-2-22-2-2-20000002-22-2000022-2-22-20000000000002-200000000000000000000-22-220000-22-22000000000000
χ432222222-2-222-2-20000-2-2222-2-222-20000002222-2-2-2-200002222-222-2-2-22-2-2000000-22-220000-2-222-22000000000000-2200000000000000002-22-200002-22-20000000000000000
χ442222222-2-222-2-20000-2-2222-2-222-20000002222-2-2-2-200002222-222-2-2-22-2-2000000-22-220000-2-222-22000000000000-220000000000000000-22-220000-22-220000000000000000
χ452222222-2-222-2-20000-2-2222-2-222-2000000-2-2-2-222220000-2-2-2-2-222-2-22-222000000-222-2000022-2-2-22000000000000-22000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ462222222-2-222-2-20000-2-2222-2-222-2000000-2-2-2-222220000-2-2-2-2-222-2-22-222000000-222-2000022-2-2-22000000000000-2200000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ472222222-2-222-2-20000-2-2222-2-222-2000000-2-2-2-222220000-2-2-2-2-222-2-2-22220000002-2-220000-2-2222-20000000000002-200000000000000002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ482222222-2-222-2-20000-2-2222-2-222-2000000-2-2-2-222220000-2-2-2-2-222-2-2-22220000002-2-220000-2-2222-20000000000002-20000000000000000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ492222222-2-2-2-2220000-2-2222-2-22-220000002222-2-2-2-20000-2-2-2-2-2-2-2222-2220000002-22-20000-2-2222-2000000000000-2200000000000000002i−2i−2i2i00002i−2i−2i2i0000000000000000
χ502222222-2-2-2-2220000-2-2222-2-22-220000002222-2-2-2-20000-2-2-2-2-2-2-2222-2220000002-22-20000-2-2222-2000000000000-220000000000000000−2i2i2i−2i0000−2i2i2i−2i0000000000000000
χ512222222-2-2-2-2220000-2-2222-2-22-220000002222-2-2-2-20000-2-2-2-2-2-2-222-2222000000-22-22000022-2-2-220000000000002-2000000000000000000002i−2i−2i2i00002i−2i−2i2i000000000000
χ522222222-2-2-2-2220000-2-2222-2-22-220000002222-2-2-2-20000-2-2-2-2-2-2-222-2222000000-22-22000022-2-2-220000000000002-200000000000000000000−2i2i2i−2i0000−2i2i2i−2i000000000000
χ532222222-2-2-2-2220000-2-2222-2-22-22000000-2-2-2-2222200002222-2-2-2222-2-2-2000000-222-20000-2-222-220000000000002-200000000000000002-2-220000-222-20000000000000000
χ542222222-2-2-2-2220000-2-2222-2-22-22000000-2-2-2-2222200002222-2-2-2222-2-2-2000000-222-20000-2-222-220000000000002-20000000000000000-222-200002-2-220000000000000000
χ552222222-2-2-2-2220000-2-2222-2-22-22000000-2-2-2-2222200002222-2-2-222-22-2-20000002-2-22000022-2-22-2000000000000-22000000000000000000002-2-220000-222-2000000000000
χ562222222-2-2-2-2220000-2-2222-2-22-22000000-2-2-2-2222200002222-2-2-222-22-2-20000002-2-22000022-2-22-2000000000000-2200000000000000000000-222-200002-2-22000000000000
χ5722222-2-2-2-2000022-2-2222-2-2222002-200000000000022-2-222-2-2-20000002-200002-22-2002-2002-22-2-2202022-200002-20000-2-222-2-20000002-200000000000000002-20000000000
χ5822222-2-2-2-2000022-2-2222-2-2222002-200000000000022-2-222-2-2-20000002-200002-22-2002-2002-22-2-220-20-22-200002-2000022-2-222000000-220000000000000000-220000000000
χ5922222-2-2-2-2000022-2-2222-2-2222002-200000000000022-2-222-2-2-20000002-200002-2-22002-200-22-222-22020-220000-2200-2-200000022-2-22-2000000000000000000002-200000000
χ6022222-2-2-2-2000022-2-2222-2-2222002-200000000000022-2-222-2-2-20000002-200002-2-22002-200-22-222-2-20-20-220000-220022000000-2-222-2200000000000000000000-2200000000
χ6122222-2-2-2-2000022-2-2222-2-2222002-2000000000000-2-222-2-222-2000000-220000-222-2002-200-22-22-222020-2200002-200-2-2000000-2-2222-200000000000000000000-2200000000
χ6222222-2-2-2-2000022-2-2222-2-2222002-2000000000000-2-222-2-222-2000000-220000-222-2002-200-22-22-22-20-20-2200002-2002200000022-2-2-22000000000000000000002-200000000
χ6322222-2-2-2-2000022-2-2222-2-2222002-2000000000000-2-222-2-222-2000000-220000-22-22002-2002-22-22-202022-20000-220000-2-2-2-2220000002-20000000000000000-220000000000
χ6422222-2-2-2-2000022-2-2222-2-2222002-2000000000000-2-222-2-222-2000000-220000-22-22002-2002-22-22-20-20-22-20000-2200002222-2-2000000-2200000000000000002-20000000000
χ6522222-2-2-2-20000-2-222222-2-222200-2200000000000022-2-2-2-222-2000000-2200002-22-200-2200-22-22-2220202-20000-2200-2-2000000-2-222-22000000000000000000002-200000000
χ6622222-2-2-2-20000-2-222222-2-222200-2200000000000022-2-2-2-222-2000000-2200002-22-200-2200-22-22-22-20-202-20000-22002200000022-2-22-200000000000000000000-2200000000
χ6722222-2-2-2-20000-2-222222-2-222200-2200000000000022-2-2-2-222-2000000-2200002-2-2200-22002-22-22-20202-2200002-20000-2-2-2-222000000-2200000000000000002-20000000000
χ6822222-2-2-2-20000-2-222222-2-222200-2200000000000022-2-2-2-222-2000000-2200002-2-2200-22002-22-22-20-20-2-2200002-200002222-2-20000002-20000000000000000-220000000000
χ6922222-2-2-2-20000-2-222222-2-222200-22000000000000-2-22222-2-2-20000002-20000-222-200-22002-22-2-220202-220000-220000-2-222-2-2000000-220000000000000000-220000000000
χ7022222-2-2-2-20000-2-222222-2-222200-22000000000000-2-22222-2-2-20000002-20000-222-200-22002-22-2-220-20-2-220000-22000022-2-2220000002-200000000000000002-20000000000
χ7122222-2-2-2-20000-2-222222-2-222200-22000000000000-2-22222-2-2-20000002-20000-22-2200-2200-22-222-220202-200002-200-2-200000022-2-2-2200000000000000000000-2200000000
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Here i is the imaginary unit (i² = −1).