Finite Group Databasebeta

← Group #72281155

Character table — Group #72281155

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130
size111111112222222222224444444444444444444444444444444444444444444444444444444444448888888888888888888888888888881616161616161616323232323232323232323232
order1222222222222222222222222222444444444444444444444444444444444444444444444444444422222222222244444444444444444422444444444444448888
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ91111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-1-1
χ101111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111
χ121111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111
χ171-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1ii−i−iii−i−iii−i−iii−i−i1-111-1-11-1i−ii−ii−ii−i1-11-1
χ181-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1ii−i−iii−i−iii−i−iii−i−i-11-1-111-11−ii−ii−ii−ii-11-11
χ191-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111-1ii−i−iii−i−i−i−iii−i−iii1-111-1-11-1i−ii−i−ii−ii-11-11
χ201-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111-1ii−i−iii−i−i−i−iii−i−iii-11-1-111-11−ii−iii−ii−i1-11-1
χ211-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111-1−i−iii−i−iiiii−i−iii−i−i1-111-1-11-1−ii−iii−ii−i-11-11
χ221-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1111-1−i−iii−i−iiiii−i−iii−i−i-11-1-111-11i−ii−i−ii−ii1-11-1
χ231-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1−i−iii−i−iii−i−iii−i−iii1-111-1-11-1−ii−ii−ii−ii1-11-1
χ241-1-1-1111-11-11111-1-1-1-11-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-11-1−i−iii−i−iii−i−iii−i−iii-11-1-111-11i−ii−ii−ii−i-11-11
χ251-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11ii−i−i−i−iiiii−i−i−i−iii1-1-1-1111-1i−i−iii−i−ii1-1-11
χ261-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11ii−i−i−i−iiiii−i−i−i−iii-1111-1-1-11−iii−i−iii−i-111-1
χ271-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-1-1111-1i−i−ii−iii−i-111-1
χ281-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-11ii−i−i−i−iii−i−iiiii−i−i-1111-1-1-11−iii−ii−i−ii1-1-11
χ291-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-11−i−iiiii−i−iii−i−i−i−iii1-1-1-1111-1−iii−ii−i−ii-111-1
χ301-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1-11−i−iiiii−i−iii−i−i−i−iii-1111-1-1-11i−i−ii−iii−i1-1-11
χ311-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11−i−iiiii−i−i−i−iiiii−i−i1-1-1-1111-1−iii−i−iii−i1-1-11
χ321-1-1-1111-11-1-1-1-1-111111-11111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-11−i−iiiii−i−i−i−iiiii−i−i-1111-1-1-11i−i−iii−i−ii-111-1
χ332222222222222222222222-2-222-2-2-2-2000000000000000022222222222222220000000000000000-2-22-22-200000000-2-200000000-2-2-2-2-2-2-2-200000000000000000000
χ342222222222222222222222-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-22-22-200000000-2-2000000002222222200000000000000000000
χ3522222222222222222222-2-222-2-222-2-2222222222222222200000000000000000000000000000000-2-2-22-2200000000-2-2-2-2-2-2-2-2-2-20000000000000000000000000000
χ3622222222222222222222-2-222-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-22-2200000000-2-2222222220000000000000000000000000000
χ3722222222222222222222-2-2-2-2-2-2-2-22200000000000000000000000000000000222222222222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000
χ3822222222222222222222-2-2-2-2-2-2-2-22200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-22222222222000000000000000000000000000000000000
χ392222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-2000000000000000022222222-2-2-2-2-2-2-2-20000000000000000-2-2-22-22000000002200000000-2-2-2-2222200000000000000000000
χ402222222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-2222222220000000000000000-2-2-22-220000000022000000002222-2-2-2-200000000000000000000
χ412222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22-22-20000000022-2-2-2-222220000000000000000000000000000
χ422222222222-2-2-2-2-2-2-2-222-2-222-2-222-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000-2-22-22-200000000222222-2-2-2-20000000000000000000000000000
χ432222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2220000000000000000000000000000000022222222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2000000000000000000000000000000000000
χ442222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-22200000000000000000000000000000000-2-2-2-2-2-2-2-2222222222222222222-2-2-2-2-2-2000000000000000000000000000000000000
χ45222-2-2-22-2-22000000002-22-22-22-22-22-2000000002i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i22-2-222-2-2000000002-200002-22-200000000002i−2i2i−2i00002i−2i2i−2i00000000000000000000
χ46222-2-2-22-2-22000000002-22-22-22-22-22-2000000002i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i-2-222-2-222000000002-20000-22-2200000000002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
χ47222-2-2-22-2-22000000002-22-22-22-22-22-200000000−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i-2-222-2-222000000002-20000-22-220000000000−2i2i−2i2i00002i−2i2i−2i00000000000000000000
χ48222-2-2-22-2-22000000002-22-22-22-22-22-200000000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i22-2-222-2-2000000002-200002-22-20000000000−2i2i−2i2i0000−2i2i−2i2i00000000000000000000
χ49222-2-2-22-2-22000000002-22-2-222-2-22-222i2i−2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-2-22000000002-22-2002i−2i2i−2i00000000−2i2i−2i2i00000000000000000000
χ50222-2-2-22-2-22000000002-22-2-222-2-22-222i2i−2i−2i2i2i−2i−2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-222-2200000000-22-22002i−2i2i−2i000000002i−2i2i−2i00000000000000000000
χ51222-2-2-22-2-22000000002-22-2-222-2-22-22−2i−2i2i2i−2i−2i2i2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-222-2200000000-22-2200−2i2i−2i2i00000000−2i2i−2i2i00000000000000000000
χ52222-2-2-22-2-22000000002-22-2-222-2-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-2-22000000002-22-200−2i2i−2i2i000000002i−2i2i−2i00000000000000000000
χ53222-2-2-22-2-22000000002-2-222-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000022-2-222-2-2-2200000000-22-22000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ54222-2-2-22-2-22000000002-2-222-2-222-2-22000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000-2-222-2-222-22000000002-22-2000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ55222-2-2-22-2-22000000002-2-222-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-222-2-222-22000000002-22-20000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ56222-2-2-22-2-22000000002-2-222-2-222-2-2200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-2-2200000000-22-220000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ57222-2-2-22-2-22000000002-2-22-22-22-222-22i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-2000000002-20000-22-22000000−2i2i−2i2i0000−2i2i−2i2i000000000000000000000000
χ58222-2-2-22-2-22000000002-2-22-22-22-222-22i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-222000000002-200002-22-2000000−2i2i−2i2i00002i−2i2i−2i000000000000000000000000
χ59222-2-2-22-2-22000000002-2-22-22-22-222-2−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-222000000002-200002-22-20000002i−2i2i−2i0000−2i2i−2i2i000000000000000000000000
χ60222-2-2-22-2-22000000002-2-22-22-22-222-2−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-2000000002-20000-22-220000002i−2i2i−2i00002i−2i2i−2i000000000000000000000000
χ612-2-22-2-222-2-200000000222-22-2-22-22-220000000022-2-2-2-2220000000022-2-2-2-22222-2-2-2-222000000002-200002-2-2200000000002-2-2200002-2-2200000000000000000000
χ622-2-22-2-222-2-200000000222-22-2-22-22-220000000022-2-2-2-22200000000-2-22222-2-2-2-22222-2-2000000002-20000-222-200000000002-2-220000-222-200000000000000000000
χ632-2-22-2-222-2-200000000222-22-2-22-22-2200000000-2-22222-2-20000000022-2-2-2-222-2-22222-2-2000000002-20000-222-20000000000-222-200002-2-2200000000000000000000
χ642-2-22-2-222-2-200000000222-22-2-22-22-2200000000-2-22222-2-200000000-2-22222-2-222-2-2-2-222000000002-200002-2-220000000000-222-20000-222-200000000000000000000
χ652-2-22-2-222-2-200000000222-2-22-222-22-222-2-2-2-222000000000000000022-2-2-2-2220000000022-2-2-2-222-22000000002-2-22002-2-2200000000-222-200000000000000000000
χ662-2-22-2-222-2-200000000222-2-22-222-22-222-2-2-2-2220000000000000000-2-22222-2-200000000-2-22222-2-2-2200000000-222-2002-2-22000000002-2-2200000000000000000000
χ672-2-22-2-222-2-200000000222-2-22-222-22-2-2-22222-2-2000000000000000022-2-2-2-22200000000-2-22222-2-2-2200000000-222-200-222-200000000-222-200000000000000000000
χ682-2-22-2-222-2-200000000222-2-22-222-22-2-2-22222-2-20000000000000000-2-22222-2-20000000022-2-2-2-222-22000000002-2-2200-222-2000000002-2-2200000000000000000000
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Here i is the imaginary unit (i² = −1).