Finite Group Databasebeta

← Group #72243373

Character table — Group #72243373

Order 5120.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152
size1122244444444444444444455888888888888888888101010161616161616161616161616161616161616202020202020202020202020202032323232323232323232323232323232404040404040404040404040404040404040404040404040404040404040404040404040404040406464646480808080160160160160160160160160160160
order12222222222222222445101010222224444410101010101010101010222244410101010101010101010101020202222222222224444101010202020202020202020202022244444444444444444444444444444444444442020202024444444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-11-1-1-1-1-1-11-1-111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-11-1-1-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1111111111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1-1-1ii−i−iii−i−i
χ611111111111111111111111-1-1111111111111111111-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1-1-1−i−iii−i−iii
χ711111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1111111−i−iii−i−iii
χ811111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1111111ii−i−iii−i−i
χ911111111111-1-1-1-111111111111-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ1011111111111-1-1-1-111111111111-1-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111
χ1111111111111-1-1-1-111111111111-1-11-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-11111
χ1211111111111-1-1-1-111111111111-1-11-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ1311111111111-1-1-1-111111111-1-11-1-11-1-1-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-111-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111ii−i−i−i−iii
χ1411111111111-1-1-1-111111111-1-11-1-11-1-1-1-11111111111-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-111-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111−i−iiiii−i−i
χ1511111111111-1-1-1-111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-111-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11111111-1-1−i−iiiii−i−i
χ1611111111111-1-1-1-111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-111-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11111111-1-1ii−i−i−i−iii
χ171111111-1-1-1-111-1-11111111111-11-1-111-1-11-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111-1-111-1-1-1-1-11111-1-1-11-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11-11-11-11-11-1
χ181111111-1-1-1-111-1-11111111111-11-1-111-1-11-1-1-1-11111111111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111-1-111-1-1-1-1-11111-1-1-11-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-111-1-11-1-11-11-11-11
χ191111111-1-1-1-111-1-11111111111-11-1-111-1-11-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-11-1-1-11111-1-1-111-1-1-11-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-1-1-111-1-111-11-11-11-11-11
χ201111111-1-1-1-111-1-11111111111-11-1-111-1-11-1-1-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-11111-11-1-1-11111-1-1-111-1-1-11-1-111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-1-111-111-11-11-11-1
χ211111111-1-1-1-111-1-111111111-1-1-11-1-111-1-11-1-1-1-111111-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-11111-1-11-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii11-1-1-1-111-11i−i−iii−i−ii
χ221111111-1-1-1-111-1-111111111-1-1-11-1-111-1-11-1-1-1-111111-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-11-1-111-1-1-1-1-11111-1-11-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i11-1-1-1-111-11−iii−i−iii−i
χ231111111-1-1-1-111-1-111111111-1-1-11-1-111-1-11-1-1-1-111111-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-11-1-1-11111-1-1-111-1-11-111-1-111ii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iii-1-11111-1-11-1−iii−i−iii−i
χ241111111-1-1-1-111-1-111111111-1-1-11-1-111-1-11-1-1-1-111111-1-1-1-1-11111-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-11-1-1-11111-1-1-111-1-11-111-1-111−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i-1-11111-1-11-1i−i−iii−i−ii
χ251111111-1-1-1-1-1-1111111111111-1-11-1-1-1111-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-11-111-1-1-1-1-111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-111-11-1-11-11
χ261111111-1-1-1-1-1-1111111111111-1-11-1-1-1111-1-1-1-11111111111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1111111-11-111-1-1-1-1-111-1-111-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-11-11-111-11-1
χ271111111-1-1-1-1-1-1111111111111-1-11-1-1-1111-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-11-111-11-1
χ281111111-1-1-1-1-1-1111111111111-1-11-1-1-1111-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1-111-1-11-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-11-11-1-11-11
χ291111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i-1-111-1-1111-1i−i−ii−iii−i
χ301111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1111-1-1-1-111111-1-1-111-1-111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-1-11-111-1-1-1-1-111-1-11111-1111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii-1-111-1-1111-1−iii−ii−i−ii
χ311111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-11111-1111-1-1ii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−i11-1-111-1-1-11−iii−ii−i−ii
χ321111111-1-1-1-1-1-11111111111-1-1-1-11-1-1-1111-1-1-1-111111-1-1-1-1-11111-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-11111-1111-1-1−i−iiiii−i−iii−i−i−i−iii−i−iiiii−i−iii−i−i−i−iii11-1-111-1-1-11i−i−ii−iii−i
χ33222222222-2-20000-2-2-2-2222222200-2000022222-2-2-2-22222000022-2-200000000-2-2-2-222-2-2000022-2-2002000000-2000000200-2000022-2-2000022-2-20000-2-2220000-2-2220000000000000000000000
χ34222222222-2-20000-2-2-2-2222222200-2000022222-2-2-2-22222000022-2-200000000-2-2-2-222-2-2000022-2-2002000000-2000000200-20000-2-2220000-2-222000022-2-2000022-2-20000000000000000000000
χ35222222222-2-20000-2-2-2-22222-2-2200-2000022222-2-2-2-22-2-2-2000022-2-200000000-2-222-2-2220000-2-222002000000-2000000-200200002i2i−2i−2i0000−2i−2i2i2i0000−2i−2i2i2i00002i2i−2i−2i0000000000000000000000
χ36222222222-2-20000-2-2-2-22222-2-2200-2000022222-2-2-2-22-2-2-2000022-2-200000000-2-222-2-2220000-2-222002000000-2000000-20020000−2i−2i2i2i00002i2i−2i−2i00002i2i−2i−2i0000−2i−2i2i2i0000000000000000000000
χ372222222-2-2220000-2-2-2-2222222-200200002-2-2-2-2-2-2-2-222220000222200000000-2-2-2-2-2-222000022-2-200-20000002000000-200200002222000022220000-2-2-2-20000-2-2-2-20000000000000000000000
χ382222222-2-2220000-2-2-2-2222222-200200002-2-2-2-2-2-2-2-222220000222200000000-2-2-2-2-2-222000022-2-200-20000002000000-20020000-2-2-2-20000-2-2-2-200002222000022220000000000000000000000
χ392222222-2-2220000-2-2-2-22222-2-2-200200002-2-2-2-2-2-2-2-22-2-2-20000222200000000-2-22222-2-20000-2-22200-20000002000000200-200002i2i2i2i0000−2i−2i−2i−2i0000−2i−2i−2i−2i00002i2i2i2i0000000000000000000000
χ402222222-2-2220000-2-2-2-22222-2-2-200200002-2-2-2-2-2-2-2-22-2-2-20000222200000000-2-22222-2-20000-2-22200-20000002000000200-20000−2i−2i−2i−2i00002i2i2i2i00002i2i2i2i0000−2i−2i−2i−2i0000000000000000000000
χ4122222-2-22222222222-2-2222222-222-2-2-2-2-222222222222220000-2-22222222222-2-22222222222-2-2-2-200-2000000-200-2-2-2-2-222-2-2-2-2-200000000000000000000000000000000000000000000000000
χ4222222-2-22222222222-2-22222-2-2-222-2-2-2-2-22222222222-2-2-20000-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2222200-2000000-200-2-2-2-22-2-22222200000000000000000000000000000000000000000000000000
χ4322222-2-22222-2-2-2-222-2-2222222-2-2-2-2222222222222222220000-2-222-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200-2000000-2002222-2-2-2-2222200000000000000000000000000000000000000000000000000
χ4422222-2-22222-2-2-2-222-2-22222-2-2-2-2-2-222222222222222-2-2-20000-2-222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200-2000000-20022222222-2-2-2-200000000000000000000000000000000000000000000000000
χ4522222-2-222-2-20000-2-222222222-2002000022222-2-2-2-222220000-2-2-2-20000000022-2-222-2-20000-2-22200-20000002000000-20020000000022-2-2000022-2-20000-2-2220000-2-222000000000000000000
χ4622222-2-222-2-20000-2-222222222-2002000022222-2-2-2-222220000-2-2-2-20000000022-2-222-2-20000-2-22200-20000002000000-200200000000-2-2220000-2-222000022-2-2000022-2-2000000000000000000
χ4722222-2-222-2-20000-2-2222222-2-2-2002000022222-2-2-2-22-2-2-20000-2-2-2-2000000002222-2-222000022-2-200-20000002000000200-2000000002i2i−2i−2i0000−2i−2i2i2i0000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ4822222-2-222-2-20000-2-2222222-2-2-2002000022222-2-2-2-22-2-2-20000-2-2-2-2000000002222-2-222000022-2-200-20000002000000200-200000000−2i−2i2i2i00002i2i−2i−2i00002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ4922222-2-2-2-2220000-2-222222222200-200002-2-2-2-2-2-2-2-222220000-2-2220000000022-2-2-2-2220000-2-222002000000-2000000200-2000000002222000022220000-2-2-2-20000-2-2-2-2000000000000000000
χ5022222-2-2-2-2220000-2-222222222200-200002-2-2-2-2-2-2-2-222220000-2-2220000000022-2-2-2-2220000-2-222002000000-2000000200-200000000-2-2-2-20000-2-2-2-20000222200002222000000000000000000
χ5122222-2-2-2-2220000-2-2222222-2-2200-200002-2-2-2-2-2-2-2-22-2-2-20000-2-22200000000222222-2-2000022-2-2002000000-2000000-2002000000002i2i2i2i0000−2i−2i−2i−2i0000−2i−2i−2i−2i00002i2i2i2i000000000000000000
χ5222222-2-2-2-2220000-2-2222222-2-2200-200002-2-2-2-2-2-2-2-22-2-2-20000-2-22200000000222222-2-2000022-2-2002000000-2000000-200200000000−2i−2i−2i−2i00002i2i2i2i00002i2i2i2i0000−2i−2i−2i−2i000000000000000000
χ5322222-2-2-2-2-2-222-2-222-2-222222222-22-2-2222-2-2-2-2222222220000-2-2-2-22222-2-2-2-2-2-222-2-2-2-222-2-2-2-2-2-2002000000200-2-22222-22-2-22200000000000000000000000000000000000000000000000000
χ5422222-2-2-2-2-2-222-2-222-2-22222-2-222-22-2-2222-2-2-2-222222-2-2-20000-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2222222002000000200-2-222-2-22-222-2-200000000000000000000000000000000000000000000000000
χ5522222-2-2-2-2-2-2-2-22222-2-22222222-22222-2-22-2-2-2-2222222220000-2-2-2-2-2-2-2-22222-2-222-2-2-2-2-2-222-2-2-2-200200000020022-2-22-22222-2-200000000000000000000000000000000000000000000000000
χ5622222-2-2-2-2-2-2-2-22222-2-22222-2-22-22222-2-22-2-2-2-222222-2-2-20000-2-2-2-2-2-2-2-22222-2-2-2-2222222-2-2222200200000020022-2-2-22-2-2-2-22200000000000000000000000000000000000000000000000000
χ5722-22-22-2000000222-22-22-2-222200-20002-2-2000022-2-22-2-2200002-200000022-2-22-22-2000000222-22-2000000000000002-200-20002-2002-22-200002-22-200002-22-200002-22-200000000000000000000
χ5822-22-22-2000000222-22-22-2-222200-20002-2-2000022-2-22-2-2200002-200000022-2-22-22-2000000222-22-2000000000000002-200-20002-200-22-220000-22-220000-22-220000-22-2200000000000000000000
χ5922-22-22-2000000222-22-22-2-22-2-200-20002-2-2000022-2-2222-200002-200000022-2-22-2-22000000-2-2-22-22000000000000002-2002000-22002i−2i2i−2i0000−2i2i−2i2i00002i−2i2i−2i0000−2i2i−2i2i00000000000000000000
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Here i is the imaginary unit (i² = −1).