Finite Group Databasebeta

← Group #72243033

Character table — Group #72243033

Order 5120.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1122244444444444455888888888888810101016161616161616161616161620202020202020202020202020202020202032323232323232323232323232404040404040404040404040404040404040404040404040404040404040404040404040404064646464646464648080808080808080160160160160160160160160
order12222222222224451022222444444410101022210101010101010102020202022222222444444444444881010102020202020202224444444444444444444444444444444444420202020404040404444444444444488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ511111111111111111111-1-11-1-1-1-1-1-111111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1
χ611111111111111111111-1-11-1-1-1-1-1-1111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ811111111111111111111-1-11-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111
χ911111111111111111-1-11111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11111111i−ii−iii−i−i-1-1ii−i−i-1-1
χ1011111111111111111-1-11111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1−ii−ii−i−iii11−i−iii11
χ1111111111111111111-1-11111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11111111−ii−ii−i−iii-1-1−i−iii-1-1
χ1211111111111111111-1-11111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-1-1-1i−ii−iii−i−i11ii−i−i11
χ1311111111111111111-1-11-1-11-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-11-1-1-1-1-1-1-1-1-111-1111111−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1i−ii−iii−i−i-1-1−i−iii11
χ1411111111111111111-1-11-1-11-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1111-1-1-1-1-1-1-1-1-111-1111111−i−iiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111−ii−ii−i−iii11ii−i−i-1-1
χ1511111111111111111-1-11-1-11-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-11-1-1-1-1-1-1-1-1-111-1111111ii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1−ii−ii−i−iii-1-1ii−i−i11
χ1611111111111111111-1-11-1-11-1-1-1-1-1-1111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1111-1-1-1-1-1-1-1-1-111-1111111ii−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111i−ii−iii−i−i11−i−iii-1-1
χ171111111-1-1-1-111111111-11-1-11-111-1-111111111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11-11-1-11-11-111-1-1-11-1-11-111-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11-11-11-11-1
χ181111111-1-1-1-111111111-11-1-11-111-1-111111111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-11-11-11-11-111-1-1-11-1-11-111-1-11-11-11-11-11-11-111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-11111-11-11-11-11
χ191111111-1-1-1-111111111-11-1-11-111-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111-11-1-11-11-111-1-1-11-1-11-111-1-1-11-11-11-11-11-11-1-111-1-111-1-111-1-11111-1-111-1-1-1-1-1-111111-1-11-111-1
χ201111111-1-1-1-111111111-11-1-11-111-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-11-11-11-11-111-1-1-11-1-11-111-1-1-11-11-11-11-11-11-1-111-1-111-1-111-1-111-1-111-1-1111111-1-1-1-1-111-11-1-11
χ211111111-1-1-1-111111111-1-11-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11-1-11-1-11-11-1-111-1-11-1-11-1-111-11-111-11-1-11-1111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-1-11-11-11
χ221111111-1-1-1-111111111-1-11-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-111-1-1-11-11-1-111-1-11-1-11-1-111-11-111-11-1-11-1111-1-111-1-1-1-111-1-111-1-11111-1-1-1-1-1-11111-111-11-11-1
χ231111111-1-1-1-111111111-1-11-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-1111-1-11-1-11-11-1-111-1-11-1-11-1-1111-11-1-11-111-11-1-1-111-1-11111-1-111-1-111-1-1-1-111-1-1-1-111111-11-11-1-11
χ241111111-1-1-1-111111111-1-11-1-11-1-11111111111-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-111-1-1-11-11-1-111-1-11-1-11-1-1111-11-1-11-111-11-1-1-111-1-11111-1-111-1-1-1-11111-1-11111-1-1-1-1-11-11-111-1
χ251111111-1-1-1-1111111-1-1-11-1-11-111-1-1111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii1-11-1-11-11-111-1-11-111-11-1-111i−i−iii−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii11-1-111-1-1i−ii−i−i−iii-11i−i−ii-11
χ261111111-1-1-1-1111111-1-1-11-1-11-111-1-1111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii-11-11-11-11-111-1-11-111-11-1-111i−i−iii−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-1-111-1-111−ii−iiii−i−i1-1−iii−i1-1
χ271111111-1-1-1-1111111-1-1-11-1-11-111-1-1111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i1-11-1-11-11-111-1-11-111-11-1-111−iii−i−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i11-1-111-1-1−ii−iiii−i−i-11−iii−i-11
χ281111111-1-1-1-1111111-1-1-11-1-11-111-1-1111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i-11-11-11-11-111-1-11-111-11-1-111−iii−i−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-1-111-1-111i−ii−i−i−iii1-1i−i−ii1-1
χ291111111-1-1-1-1111111-1-1-1-11-1-11-1-111111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii1-1-11-1-11-11-1-11111-111-111-1-1−iii−ii−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111i−ii−i−i−iii-11−iii−i1-1
χ301111111-1-1-1-1111111-1-1-1-11-1-11-1-111111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1ii−i−i−i−iii-111-1-1-11-11-1-11111-111-111-1-1−iii−ii−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−ii−iiii−i−i1-1i−i−ii-11
χ311111111-1-1-1-1111111-1-1-1-11-1-11-1-111111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i1-1-11-1-11-11-1-11111-111-111-1-1i−i−ii−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−ii−iiii−i−i-11i−i−ii1-1
χ321111111-1-1-1-1111111-1-1-1-11-1-11-1-111111-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-1−i−iiiii−i−i-111-1-1-11-11-1-11111-111-111-1-1i−i−ii−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1i−ii−i−i−iii1-1−iii−i-11
χ33222222222-2-2-2-2-2-2222222-2-22-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-200000000000022-22-2-2-22222-2-22-2-2-2220000000000000000000000000000000000000000000000000000
χ34222222222-2-2-2-2-2-222222-22-2-2222-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-20000000000002-22-2222-2-22-22-2-2222-2-20000000000000000000000000000000000000000000000000000
χ35222222222-2-2-2-2-2-222-2-222-2-22-2-2-222222-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-22200000000000022-22-2-2-222-2-222-2222-2-20000000000000000000000000000000000000000000000000000
χ36222222222-2-2-2-2-2-222-2-22-22-2-2222-2-2222-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2220000000000002-22-2222-2-2-22-222-2-2-2220000000000000000000000000000000000000000000000000000
χ372222222-2-222-2-2-2-22222-222222-2-2-2-222222222-2-222-2-222-2-2-2-2-2-22222-2-2000000000000-22222-2-2-2-2-222222-2-2-2-20000000000000000000000000000000000000000000000000000
χ382222222-2-222-2-2-2-22222-2-2-22-2-2222222222222-2-222-2-222-2-2-2-2-2-22222-2-2000000000000-2-2-2-2-22222-2-2-22-2-222220000000000000000000000000000000000000000000000000000
χ392222222-2-222-2-2-2-222-2-2-222222-2-2-2-2222-2-2-222-2-222-2-222-2-22222-2-2-2-222000000000000-22222-2-2-2-22-2-2-2-2-222220000000000000000000000000000000000000000000000000000
χ402222222-2-222-2-2-2-222-2-2-2-2-22-2-22222222-2-2-222-2-222-2-222-2-22222-2-2-2-222000000000000-2-2-2-2-22222222-222-2-2-2-20000000000000000000000000000000000000000000000000000
χ4122222-2-2222222-2-22222-200-2000000222222-2-2222222-2-2-2-2222222-2-2-2-2222222220000-200000000-200-2000000000022220000-2-2-2-2-2-2-2-200000000000000000000000000000000
χ4222222-2-2222222-2-22222-200-2000000222222-2-2222222-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-20000-200000000-200-20000000000-2-2-2-200002222222200000000000000000000000000000000
χ4322222-2-2222222-2-222-2-2-200-2000000222-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i0000-200000000200200000000002i2i−2i−2i0000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ4422222-2-2222222-2-222-2-2-200-2000000222-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000-20000000020020000000000−2i−2i2i2i00002i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ4522222-2-222-2-2-2-2222222-2002000000222222-2-222-2-2-2-22222-2-222-2-2-2-222000000000000-200000000-20020000002-22-200002-22-200000000-2-222-2-222000000000000000000000000
χ4622222-2-222-2-2-2-2222222-2002000000222222-2-222-2-2-2-22222-2-222-2-2-2-222000000000000-200000000-2002000000-22-220000-22-220000000022-2-222-2-2000000000000000000000000
χ4722222-2-222-2-2-2-22222-2-2-2002000000222-2-2-2-2-222-2-2-2-2222222-2-22222-2-2000000000000-200000000200-20000002i−2i−2i2i00002i−2i−2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4822222-2-222-2-2-2-22222-2-2-2002000000222-2-2-2-2-222-2-2-2-2222222-2-22222-2-2000000000000-200000000200-2000000−2i2i2i−2i0000−2i2i2i−2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4922222-2-2-2-222-2-2222222200-2000000222222-2-2-2-222-2-2-2-222-2-2-2-222-2-222000000000000200000000200-200000022220000222200000000-2-2-2-2-2-2-2-2000000000000000000000000
χ5022222-2-2-2-222-2-2222222200-2000000222222-2-2-2-222-2-2-2-222-2-2-2-222-2-222000000000000200000000200-2000000-2-2-2-20000-2-2-2-20000000022222222000000000000000000000000
χ5122222-2-2-2-222-2-22222-2-2200-2000000222-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-2000000000000200000000-20020000002i2i−2i−2i00002i2i−2i−2i00000000−2i−2i−2i−2i2i2i2i2i000000000000000000000000
χ5222222-2-2-2-222-2-22222-2-2200-2000000222-2-2-2-2-2-2-222-2-2-2-2222222-2-222-2-2000000000000200000000-2002000000−2i−2i2i2i0000−2i−2i2i2i000000002i2i2i2i−2i−2i−2i−2i000000000000000000000000
χ5322222-2-2-2-2-2-222-2-222222002000000222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-222-2-222-2-20000200000000200200000000002-22-20000-2-222-2-22200000000000000000000000000000000
χ5422222-2-2-2-2-2-222-2-222222002000000222222-2-2-2-2-2-22222-2-222-2-2-2-2-2-2-2-2-2-222-2-222000020000000020020000000000-22-22000022-2-222-2-200000000000000000000000000000000
χ5522222-2-2-2-2-2-222-2-222-2-22002000000222-2-2-2-2-2-2-2-2-22222-2-2-2-2222222222i2i−2i−2i−2i−2i2i2i0000200000000-200-200000000002i−2i−2i2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ5622222-2-2-2-2-2-222-2-222-2-22002000000222-2-2-2-2-2-2-2-2-22222-2-2-2-222222222−2i−2i2i2i2i2i−2i−2i0000200000000-200-20000000000−2i2i2i−2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ5722-2-222-200002-22-2222200200-2002-2-2-22-2-222-200002-2002-22-200002-22-20022002200000020-2002-200200-2002-2-20-200-20-22020002-2002-22-2002-200000000000000000000000000
χ5822-2-222-200002-22-2222200200-2002-2-2-22-2-222-200002-2002-22-200002-22-200-2-200-2-200000020-2002-200200-2002-220200202-20-2000-2200-22-2200-2200000000000000000000000000
χ5922-2-222-200002-22-2222200-200200-22-2-22-2-222-200002-2002-22-200002-22-200220022000000-20200-2200-200200-2220200-20-2-20-20002-2002-2-2200-2200000000000000000000000000
χ6022-2-222-200002-22-2222200-200200-22-2-22-2-222-200002-2002-22-200002-22-200-2-200-2-2000000-20200-2200-200200-22-20-200202202000-2200-222-2002-200000000000000000000000000
χ6122-2-222-200002-22-222-2-200200-2002-2-2-2222-22-200002-2002-2-220000-22-22002i2i00−2i−2i00000020-2002-200-200200-22−2i02i00−2i02i2i0−2i0002i−2i00−2i2i2i−2i00−2i2i00000000000000000000000000
χ6222-2-222-200002-22-222-2-200200-2002-2-2-2222-22-200002-2002-2-220000-22-2200−2i−2i002i2i00000020-2002-200-200200-222i0−2i002i0−2i−2i02i000−2i2i002i−2i−2i2i002i−2i00000000000000000000000000
χ6322-2-222-200002-22-222-2-200-200200-22-2-2222-22-200002-2002-2-220000-22-22002i2i00−2i−2i000000-20200-2200200-2002-22i0−2i00−2i02i−2i02i0002i−2i00−2i2i−2i2i002i−2i00000000000000000000000000
χ6422-2-222-200002-22-222-2-200-200200-22-2-2222-22-200002-2002-2-220000-22-2200−2i−2i002i2i000000-20200-2200200-2002-2−2i02i002i0−2i2i0−2i000−2i2i002i−2i2i−2i00−2i2i00000000000000000000000000
χ6522-2-222-20000-22-22222200200-200-22-2-22-2-222-20000-2200-22-2200002-2-222200220000000020-200-2200200-200-220-20-2-20-2002022-2002-200002-2002-2000000000000000000000000
χ6622-2-222-20000-22-22222200200-200-22-2-22-2-222-20000-2200-22-2200002-2-22-2-200-2-20000000020-200-2200200-200-22020220200-20-2-2200-220000-2200-22000000000000000000000000
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Here i is the imaginary unit (i² = −1).