Finite Group Databasebeta

← Group #72268042

Character table — Group #72268042

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size1111111122222222222222222222222222222222222244444444444444444444444444444444444444444444161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616161616
order1222444422222222222222222244444444444444444422222222222222222222224444444444444444444444444444444444444444444444444444448888888888888888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111
χ11111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111
χ12111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111
χ14111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111
χ1711111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ1811111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ1911111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii−i−iii−i−iii
χ2011111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i
χ2111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii
χ2211111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i
χ2311111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii−i−iii−i−iiiii−i−iii−i−i
χ2411111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−iii−i−iii−i−i−i−iii−i−iii
χ2511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ2611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ2711111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ2811111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ2911111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ3011111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ3111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ3211111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ332222222222-2-2-2-2222222-2-222-2-222-2-2-2-222-2-222-2-22222-2-22-22-20000000000000000-2-22-22-20000000000000000000000000000000000000000000000002-22-22-22-200000000
χ342222222222-2-2-2-2222222-2-222-2-222-2-2-2-222-2-222-2-22222-2-22-22-20000000000000000-2-22-22-2000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ352222222222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-222-2-2222222-2-2-22-220000000000000000-2-2-22-220000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ362222222222-2-2-2-22222-2-222-2-22222-2-2-2-2-2-222-2-2222222-2-2-22-220000000000000000-2-2-22-22000000000000000000000000000000000000000000000000-22-222-22-200000000
χ372222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-2222-2-220000000000000000222-2-220000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ382222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-2-2-222-2-2-2-222-2-2-2-2222-2-220000000000000000222-2-22000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ392222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-222-2000000000000000022-222-20000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ402222222222-2-2-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-22222-2-2-2-2-2-222-222-2000000000000000022-222-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ4122222222-2-222-2-222-2-2222222-2-2-2-222-2-2222222-2-222-2-22-2-2-2-2200000000000000002-2-2-2-220000000000000000000000002-22-22-22-200000000000000000000000000000000
χ4222222222-2-222-2-222-2-2222222-2-2-2-222-2-2222222-2-222-2-22-2-2-2-2200000000000000002-2-2-2-22000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ4322222222-2-222-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-22-2222-200000000000000002-2222-20000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ4422222222-2-222-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-22222-2-22-2222-200000000000000002-2222-2000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ4522222222-2-222-2-2-2-2222222-2-222-2-222-2-22222-2-222-2-222-22-2-22-20000000000000000-22-2-22-20000000000000000000000002-2-222-2-2200000000000000000000000000000000
χ4622222222-2-222-2-2-2-2222222-2-222-2-222-2-22222-2-222-2-222-22-2-22-20000000000000000-22-2-22-2000000000000000000000000-222-2-222-200000000000000000000000000000000
χ4722222222-2-222-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-2-2-222-2222-220000000000000000-2222-220000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000000000
χ4822222222-2-222-2-2-2-222-2-2-2-222-2-2-2-222-2-2-2-2-2-222-2-2-2-222-2222-220000000000000000-2222-22000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000000000
χ4922222222-2-2-2-22222-2-222-2-22222-2-2-2-22222-2-2222222-2-2-22-22-2-20000000000000000-22-22-2-200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ5022222222-2-2-2-22222-2-222-2-22222-2-2-2-22222-2-2222222-2-2-22-22-2-20000000000000000-22-22-2-20000000000000000000000000000000000000000-22-22-22-220000000000000000
χ5122222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2-222-2220000000000000000-222-22200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ5222222222-2-2-2-22222-2-2-2-222-2-2-2-2-2-2-2-222-2-222-2-2-2-222-2-2-222-2220000000000000000-222-2220000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ5322222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222-2-222200000000000000002-2-222200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ5422222222-2-2-2-222-2-22222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222-2-222200000000000000002-2-22220000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ5522222222-2-2-2-222-2-222-2-2222222-2-2-2-222-2-2222222-2-2222-22-2-2-200000000000000002-22-2-2-200000000000000000000000000000000000000002-2-22-222-20000000000000000
χ5622222222-2-2-2-222-2-222-2-2222222-2-2-2-222-2-2222222-2-2222-22-2-2-200000000000000002-22-2-2-20000000000000000000000000000000000000000-222-22-2-220000000000000000
χ572222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ582222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222222222000000000000000000000000000000000000000000000000
χ592222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ602222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ612222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-22222-2-2-2-22222-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ622222-2-2-2-2222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-222-2-2-2-2-2-22222-2-2-2-2222222-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ632222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ642222-2-2-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22222-2-2-2-222-2-2-2-222222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ652222-2-2-2-222-2-2-2-2222222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-22-22-2000000000000000022-22-22000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ662222-2-2-2-222-2-2-2-2222222-2-222-2-2-2-22222-2-222-2-222-2-2-2-2-2-22-22-2000000000000000022-22-2200000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ672222-2-2-2-222-2-2-2-22222-2-222-2-222-2-2222222-2-222-2-2-2-2-2-2-2-2-22-220000000000000000222-22-2000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ682222-2-2-2-222-2-2-2-22222-2-222-2-222-2-2222222-2-222-2-2-2-2-2-2-2-2-22-220000000000000000222-22-200000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ692222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-22222-2-22222222-2-220000000000000000-2-2-222-2000000000000000000000000000000000000000000000000000000002-2-222-2-22
χ702222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-22222-2-22222222-2-220000000000000000-2-2-222-200000000000000000000000000000000000000000000000000000000-222-2-222-2
χ712222-2-2-2-222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-222222222-222-20000000000000000-2-22-2-22000000000000000000000000000000000000000000000000000000002-2-22-222-2
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Here i is the imaginary unit (i² = −1).