Finite Group Databasebeta

← Group #72310618

Character table — Group #72310618

Order 4096.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size112224444444444444444888888888888888888816161616161616161616161616161616161616161616161616161616161616161616323232323232323232323232323232323232323232323232646464646464646464646464646464646464646464646464128128128128128128128128
order1222222222222222222222222222222222224444222222222222444444444444444444444422244444444444444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111-1-111-1-1111111111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ61111111111111111111111111111111111-1-111-1-1111111111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ71111111111111111111111111111111111-1-111-1-1111111111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ81111111111111111111111111111111111-1-111-1-1111111111-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ91111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ101111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ121111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1-111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ131111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-111111-111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-111111-111-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111
χ17111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1-11-1111111111111-1-1-1-1-1-11-1-11-111-1-11111-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iiii−ii−ii−ii−i
χ18111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1-11-1111111111111-1-1-1-1-1-11-1-11-111-1-11111-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i−ii−ii−ii−ii
χ19111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1-11-1111111111111-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-111-1-111ii−i−iii−i−i−i−iii−i−iii−ii−ii−ii−ii
χ20111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1-11-1-1-1-1-11-1111111111111-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-1-1-11111-1-111-1-111−i−iii−i−iiiii−i−iii−i−ii−ii−ii−ii−i
χ21111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1111111111111111-111-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-11-11-1-11-11
χ22111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-1111111111111111-111-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-11-111-11-1
χ23111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111111111-111-11-1-111-1-1-1-111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-11111-1-1-11-111-11-1
χ24111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11-1-1-1-111111111111111-111-11-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1-1-1111-11-1-11-11
χ25111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-111111-11-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-11
χ26111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-111111-11-1-11-111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ27111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-111111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-111-1
χ28111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1111-1-1-1-11111-1-1-1-111111-1-11-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ29111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiii−i−ii−iii−i
χ30111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-111-111-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−iii−ii−i−ii
χ31111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-11111-1-1111111-1-1-1-111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−ii−i−ii
χ32111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-11-111-11-1-11111-1-1111111-1-1-1-111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii−iii−i
χ3322222222222222222222222222222222-2-222-2-222-2-2222222-22-2-2-2-2-22-22222-2-2-2-2-2-2-2-22222-2200200-2-2-2-2-2-200000000000000000000000000000000000000000000
χ3422222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22-200-20022222200000000000000000000000000000000000000000000
χ352222222222222222222222222222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2222-2-2-2-2-2-2-2-22222-2-2-2-22200200-2-2-2-22200000000000000000000000000000000000000000000
χ362222222222222222222222222222-2-2-2-222-2-222-2-2-2-2-2-2-2-2-2-22-2-2-2-2-22-2-22222-2-2-2-222222222-2-200-2002222-2-200000000000000000000000000000000000000000000
χ37222222222222-2-2-2-2222222-2-2-2-2-2-22222222222222222-2-2-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-22-200-200-2-222-2-200000000000000000000000000000000000000000000
χ38222222222222-2-2-2-2222222-2-2-2-2-2-2222222-2-222-2-22222-2-2-2-22-2-2-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-220020022-2-22200000000000000000000000000000000000000000000
χ39222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-22222-22-2-222-22-2-2-2-2-2-2-2-2-222222222-2-200-200-2-2222200000000000000000000000000000000000000000000
χ40222222222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-22222-2-22222-2-222222-2-2-2-22222-2-2-2-2220020022-2-2-2-200000000000000000000000000000000000000000000
χ412222222-2-2-2-2-222-2-222-2-2-22222-2-2-20000000000002-2000000002-22-200222-2-222-2-2000022-2-2-200000000002-200000000000000000000002i−2i2i−2i00002i−2i2i−2i0000000000
χ422222222-2-2-2-2-222-2-222-2-2-22222-2-2-20000000000002-2000000002-22-200222-2-222-2-2000022-2-2-200000000002-20000000000000000000000−2i2i−2i2i0000−2i2i−2i2i0000000000
χ432222222-2-2-2-2-222-2-222-2-2-22222-2-2-20000000000002-200000000-222-200-2-2-22222-2-20000-2-22220000000000-2200000000000000000000002-2-2200002-2-220000000000
χ442222222-2-2-2-2-222-2-222-2-2-22222-2-2-20000000000002-200000000-222-200-2-2-22222-2-20000-2-22220000000000-220000000000000000000000-222-20000-222-20000000000
χ452222222-2-2-2-2-222-2-222-2-2-22222-2-2-2000000000000-22000000002-2-22002-2-222-2-2220000-2-222-200000000002-2000000000000000000002i−2i00002i−2i2i−2i00002i−2i00000000
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Here i is the imaginary unit (i² = −1).