Finite Group Databasebeta

← Group #72256439

Character table — Group #72256439

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size1122244444444444444444444888888888888888888888888888881616161616161616161616161616161616161616161616163232323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222444444222222222222222222222222444442222222222444444444444442224444444444444448888888844444444444444444444888888888888
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
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ91111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1ii−i−iii−i−i
χ101111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1−i−iii−i−iii
χ111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i1111−i−iii−i−iii
χ121111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii1111ii−i−iii−i−i
χ131111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-111111111-111-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ141111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-111111111-111-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ151111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1
χ161111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ17111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-111-1-11111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1i−ii−ii−ii−i
χ18111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-111-111-1-111-1-111-1-11111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−ii−ii−ii−ii
χ19111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1111-1-111-1-1-1-111-1-1-1-11111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111−ii−ii−ii−ii
χ20111111111-1-1-1-1111111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-111-1111-1-111-1-1-1-111-1-1-1-11111-1-111−i−iii−i−iii−i−iii−i−iii-1-111i−ii−ii−ii−i
χ21111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1111-11-1-11-11
χ22111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-11-1-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1-1-111-11-111-11-1
χ23111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-11-111-11-1
χ24111111111-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-11111-1-111-1-111-1-11-11-1-11-11
χ25111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-111-1-11
χ26111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-111-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-111-1-111-1
χ27111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111111-111-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1
χ28111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111111-111-11-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-11-1-111-1-11
χ29111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-11-1-1-111111111-1-1-1-1-1-11111-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1i−i−ii−iii−i
χ30111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-11-1-11-1-1-111111111-1-1-1-1-1-11111-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1−iii−ii−i−ii
χ31111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1111111-1-1-1-111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111−iii−ii−i−ii
χ32111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-11-1-1111111-1-1111111-1-1-1-111-1-1−i−iiiii−i−iii−i−i−i−iii-1-111i−i−ii−iii−i
χ33222222222222222222222222222222222222222222222222222222-2-222222222-2-22222-2-2-2-2-2-2-2-2-200-200-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ34222222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222200200-2-2-2-2222200000000000000000000000000000000000000000000
χ352222222222222-2-2-2-22222222222-2-2-2-2-2-2222222222222-2-2-2-222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-200-200222222-2-200000000000000000000000000000000000000000000
χ362222222222222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22002002222-2-22200000000000000000000000000000000000000000000
χ37222222222-2-2-2-2222222222222-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222-2-2-2-222-2-222222222-200-200-2-222-2-22200000000000000000000000000000000000000000000
χ38222222222-2-2-2-2222222222222-2-222-2-2-2-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-222-2-2-2-222-2-222-2-22222-2-2-2-2200200-2-22222-2-200000000000000000000000000000000000000000000
χ39222222222-2-2-2-2-2-2-2-222222222-2-2-2-2222222222222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-200-20022-2-2222200000000000000000000000000000000000000000000
χ40222222222-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-22-2-2-2-2-2-2222222-2-2-2-2-2-2222222222220020022-2-2-2-2-2-200000000000000000000000000000000000000000000
χ412222222-2-222-2-20000-2-2-2-2-222-22-20000000000000000002222222-2-22-20022-2-2-2-22-2000022-2-222-2-200000000002-200000000000000000000002-22-22-22-20000000000000000
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χ6622222-2-2-2-20000-2-222222-2-222200-2200000000000022-2-2-2-222-200002-22-20000-22-22-22000000-22-2200-200-2-2200002-20022-2-2220000002-200000000000000002-20000000000
χ6722222-2-2-2-20000-2-222222-2-222200-2200000000000022-2-2-2-222-20000-222-20000-222-2-220000002-22-20200202-20000-22-2-200000022-2-2-2200000000000000000000-2200000000
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Here i is the imaginary unit (i² = −1).