Finite Group Databasebeta

← Group #72242889

Character table — Group #72242889

Order 5120.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size112224444444444558888888888888810101016161616161616161616202020202020202020202020202020202020202032323232323232323232323232323232323240404040404040404040404040404040404040404040404040404040404040404040404040646464646464808080808080160160160160160160160160160
order12222222222445102222244444444101010222241010101010102020222222444444444444444481010101010202020202020202020202224444444444444444444444444444444444202020204040244444444444888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11-1-1
χ31111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1111-1-111-1-11111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111
χ5111111111111111111-1-1-1-111-1-1-1-11111111111111111111111111111111111111-1-11-1-111-1-11111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111-111-1-1-1-1-1
χ6111111111111111111-1-1-1-111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-11-1-1-111-111
χ7111111111111111111-1-1-1-111-1-1-1-1111111-1-11111111111111111111111111111-1111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-1-111111
χ8111111111111111111-1-1-1-111-1-1-1-1111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-11111-1-11111-1111-1-11-1-1
χ9111111111111111-1-111111111111111-1-1-11111111111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i111111-1-1ii−i−i-1-1i−ii−i-1i−i
χ10111111111111111-1-111111111111111-1-1-11111111111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii111111-1-1−i−iii-1-1−ii−ii-1−ii
χ11111111111111111-1-111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1i−iii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−i-1-1-1-1-1-111−i−iii11−ii−ii1−ii
χ12111111111111111-1-111111111111111-1-1-1-1-111111111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1−ii−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii-1-1-1-1-1-111ii−i−i11i−ii−i1i−i
χ13111111111111111-1-11-1-1-1-111-1-1-1-1111-1-1-11111111111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-11-1-11-1-111-1-11111-1-1-1-1-11111-1-11111i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1-1-1-1-1ii−i−i-11i−i−ii1−ii
χ14111111111111111-1-11-1-1-1-111-1-1-1-1111-1-1-11111111111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-11-1-11-1-111-1-11111-1-1-1-1-11111-1-11111−iiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i11-1-1-1-1-1-1−i−iii-11−iii−i1i−i
χ15111111111111111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1iiiiii−i−i−i−i−i−i-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-1111111−i−iii1-1−iii−i-1i−i
χ16111111111111111-1-11-1-1-1-111-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-1-1−i−i−i−i−i−iiiiiii-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-11111−iiii−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-1111111ii−i−i1-1i−i−ii-1−ii
χ171111111-1-111111111-11-11-1-1-111-1-11111111111-1-1111111-1-11111111-1-11111-1-11-11-1-11-1111-111-1-111-1-1-11-11-1-1-111-1-1111-11-11-11-11-11-1-1-1-1-111-1-111-1-1-1-111-1-1111111-11-1-111-1-1-1
χ181111111-1-111111111-11-11-1-1-111-1-11111111111-1-1111111-1-1111-1-1-1-111-1-1-1-1111-11-1-11-1111-111-1-111-1-1-11-11-1-1-111-1-1-1-1-11-11-11-11-11-111111-1-111-1-111-1-111-1-111-1-1-1-1-1111-1-1-111
χ191111111-1-111111111-11-11-1-1-111-1-1111111-1-111-1-1111111-1-11111111-1-11111-1-111-11-11-1-1-11-1-1-1-1-111-1-1-11-11-1-1-111-1-1111-11-11-11-11-11-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-11-111-1-1111
χ201111111-1-111111111-11-11-1-1-111-1-1111111-1-111-1-1111111-1-1111-1-1-1-111-1-1-1-11111-11-11-1-1-11-1-1-1-1-111-1-1-11-11-1-1-111-1-1-1-1-11-11-11-11-11-111111-1-111-1-11111-1-111-1-111111-1-1-1111-1-1
χ211111111-1-111111111-1-11-11-1-1-1-1111111111111-1-1111111-1-11111111-1-11111-1-11-1-11-1-1111-1111-1-1-1-111-1-11-11-1-1-1-11111-11-111-11-1-11-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1111
χ221111111-1-111111111-1-11-11-1-1-1-1111111111111-1-1111111-1-1111-1-1-1-111-1-1-1-1111-1-11-1-1111-1111-1-1-1-111-1-11-11-1-1-1-111-1-11-11-1-11-111-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1
χ231111111-1-111111111-1-11-11-1-1-1-111111111-1-111-1-1111111-1-11111111-1-11111-1-1111-1-1-11-1-1-11-1-1-1-1-1-111-1-11-11-1-1-1-11111-11-111-11-1-11-11-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1
χ241111111-1-111111111-1-11-11-1-1-1-111111111-1-111-1-1111111-1-1111-1-1-1-111-1-1-1-111111-1-1-11-1-1-11-1-1-1-1-1-111-1-11-11-1-1-1-111-1-11-11-1-11-111-11-1111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-111
χ251111111-1-1111111-1-1-11-11-1-1-111-1-1111-1-1-11111-1-11111-1-111-1-1-1iiii−i−i−i−i−i−iii-1-11-1-11-1111-111-1-111-1-11-11-1111-1-111i−ii−i−iii−i−iii−i−ii−i−iiiii−i−i−i−iii-1-111-1-1-1-1ii−i−i1-1−iii−i1−ii
χ261111111-1-1111111-1-1-11-11-1-1-111-1-1111-1-1-11111-1-11111-1-111-1-1-1−i−i−i−iiiiiii−i−i-1-11-1-11-1111-111-1-111-1-11-11-1111-1-111−ii−iii−i−iii−i−iii−iii−i−i−i−iiiii−i−i-1-111-1-1-1-1−i−iii1-1i−i−ii1i−i
χ271111111-1-1111111-1-1-11-11-1-1-111-1-1111-1-1-1-1-111-1-11111-1-111-1-1-1iiii−i−i−i−i−i−iii-11-11-11-1-1-11-1-1-1-1-111-1-11-11-1111-1-111i−ii−i−iii−i−iii−i−ii−i−iiiii−i−i−i−iii11-1-11111−i−iii-11i−i−ii-1i−i
χ281111111-1-1111111-1-1-11-11-1-1-111-1-1111-1-1-1-1-111-1-11111-1-111-1-1-1−i−i−i−iiiiiii−i−i-11-11-11-1-1-11-1-1-1-1-111-1-11-11-1111-1-111−ii−iii−i−iii−i−iii−iii−i−i−i−iiiii−i−i11-1-11111ii−i−i-11−iii−i-1−ii
χ291111111-1-1111111-1-1-1-11-11-1-1-1-111111-1-1-11111-1-11111-1-111-1-1-1iiii−i−i−i−i−i−iii-1-1-11-1-1111-1111-1-1-1-11111-11-11111-1-1i−i−iii−ii−i−ii−iii−i−i−iii−i−iiiii−i−i-1-1-1-111-1-1ii−i−i11−ii−ii-1i−i
χ301111111-1-1111111-1-1-1-11-11-1-1-1-111111-1-1-11111-1-11111-1-111-1-1-1−i−i−i−iiiiiii−i−i-1-1-11-1-1111-1111-1-1-1-11111-11-11111-1-1−iii−i−ii−iii−ii−i−iiii−i−iii−i−i−i−iii-1-1-1-111-1-1−i−iii11i−ii−i-1−ii
χ311111111-1-1111111-1-1-1-11-11-1-1-1-111111-1-1-1-1-111-1-11111-1-111-1-1-1iiii−i−i−i−i−i−iii-111-1-1-11-1-1-11-1-1-1-1-1-11111-11-11111-1-1i−i−iii−ii−i−ii−iii−i−i−iii−i−iiiii−i−i1111-1-111−i−iii-1-1i−ii−i1−ii
χ321111111-1-1111111-1-1-1-11-11-1-1-1-111111-1-1-1-1-111-1-11111-1-111-1-1-1−i−i−i−iiiiiii−i−i-111-1-1-11-1-1-11-1-1-1-1-1-11111-11-11111-1-1−iii−i−ii−iii−ii−i−iiii−i−iii−i−i−i−iii1111-1-111ii−i−i-1-1−ii−ii1i−i
χ33222222-2002-2-2-222220202000-2-200222222002-2002-2-2-22-2002-2-222-2-20022-2-200-200002000200000-2-2000202000-2-200222020-20-2020200000-2-200-2-200000000000000000000000
χ34222222-2002-2-2-222220202000-2-200222222002-2002-2-2-22-2002-2-2-2-22200-2-22200-200002000200000-2-2000202000-2-200-2-2-20-202020-20-20000022002200000000000000000000000
χ35222222-2002-2-2-222220-20-20002200222222002-2002-2-2-22-2002-2-222-2-20022-2-200-20000-2000-20000022000-20-2000220022-20-20-20-20-20-20000022002200000000000000000000000
χ36222222-2002-2-2-222220-20-20002200222222002-2002-2-2-22-2002-2-2-2-22200-2-22200-20000-2000-20000022000-20-20002200-2-22020202020200000-2-200-2-200000000000000000000000
χ37222222-2002-2-2-222-2-20202000-2-200222-2-2-2002-2002-2-2-2-2200-2222i2i−2i−2i00−2i−2i2i2i00200002000200000-2-2000-20-200022002i−2i2i0−2i0−2i02i02i0−2i00000−2i−2i002i2i00000000000000000000000
χ38222222-2002-2-2-222-2-20202000-2-200222-2-2-2002-2002-2-2-2-2200-222−2i−2i2i2i002i2i−2i−2i00200002000200000-2-2000-20-20002200−2i2i−2i02i02i0−2i0−2i02i000002i2i00−2i−2i00000000000000000000000
χ39222222-2002-2-2-222-2-20-20-20002200222-2-2-2002-2002-2-2-2-2200-2222i2i−2i−2i00−2i−2i2i2i0020000-2000-20000022000202000-2-2002i−2i−2i02i0−2i02i0−2i02i000002i2i00−2i−2i00000000000000000000000
χ40222222-2002-2-2-222-2-20-20-20002200222-2-2-2002-2002-2-2-2-2200-222−2i−2i2i2i002i2i−2i−2i0020000-2000-20000022000202000-2-200−2i2i2i0−2i02i0−2i02i0−2i00000−2i−2i002i2i00000000000000000000000
χ4122222-2222-22-2-2222220000-2-2000022222200-2222-22-2-2-2222-22-2222222222222-2000200000000-2-2000020000-2-20000-2-20000-22-220000-2-2-2-200000000000000000000000000000
χ4222222-2222-22-2-2222220000-2-2000022222200-2222-22-2-2-2222-22-2-2-2-2-2-2-2-2-2-2-2-2-2-2000200000000-2-2000020000-2-200002200002-22-20000222200000000000000000000000000000
χ4322222-2222-22-2-222-2-220000-2-20000222-2-2-200-2222-22-2-22-2-2-22-222i2i2i2i2i2i−2i−2i−2i−2i−2i−2i2000200000000-2-20000-20000220000−2i2i0000−2i2i2i−2i0000−2i−2i2i2i00000000000000000000000000000
χ4422222-2222-22-2-222-2-220000-2-20000222-2-2-200-2222-22-2-22-2-2-22-22−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2000200000000-2-20000-200002200002i−2i00002i−2i−2i2i00002i2i−2i−2i00000000000000000000000000000
χ4522222-22-2-2-22-2-22222-2000022000022222200-22-2-2-22-2-2-22-2-2-22-22222-2-22222-2-2-2000-200000000220000-20000220000-2-20000-2-2-2-20000222200000000000000000000000000000
χ4622222-22-2-2-22-2-22222-2000022000022222200-22-2-2-22-2-2-22-2-2-22-2-2-2-2-222-2-2-2-222-2000-200000000220000-2000022000022000022220000-2-2-2-200000000000000000000000000000
χ4722222-22-2-2-22-2-222-2-2-20000220000222-2-2-200-22-2-2-22-2-22-2222-222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2000-20000000022000020000-2-20000−2i2i0000−2i−2i2i2i00002i2i−2i−2i00000000000000000000000000000
χ4822222-22-2-2-22-2-222-2-2-20000220000222-2-2-200-22-2-2-22-2-22-2222-22−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2000-20000000022000020000-2-200002i−2i00002i2i−2i−2i0000−2i−2i2i2i00000000000000000000000000000
χ4922222-2-200-2-2222222002020000-2-222222200-2-200-2-222-2-200-2-2222-2-20022-2-20020000020002000000-2-2002020000-2-2-2-2020220200202000000-2-200-2-2000000000000000000000
χ5022222-2-200-2-2222222002020000-2-222222200-2-200-2-222-2-200-2-22-2-22200-2-2220020000020002000000-2-2002020000-2-2220-20-2-20-200-20-2000000220022000000000000000000000
χ5122222-2-200-2-222222200-20-200002222222200-2-200-2-222-2-200-2-2222-2-20022-2-200200000-2000-20000002200-20-2000022-2-20-20-220200-20-2000000220022000000000000000000000
χ5222222-2-200-2-222222200-20-200002222222200-2-200-2-222-2-200-2-22-2-22200-2-22200200000-2000-20000002200-20-2000022220202-20-200202000000-2-200-2-2000000000000000000000
χ5322222-2-200-2-22222-2-2002020000-2-2222-2-2-200-2-200-2-222220022-22i2i−2i−2i00−2i−2i2i2i00-20000020002000000-2-200-20-2000022−2i2i02i0−2i2i0−2i002i0−2i000000−2i−2i002i2i000000000000000000000
χ5422222-2-200-2-22222-2-2002020000-2-2222-2-2-200-2-200-2-222220022-2−2i−2i2i2i002i2i−2i−2i00-20000020002000000-2-200-20-20000222i−2i0−2i02i−2i02i00−2i02i0000002i2i00−2i−2i000000000000000000000
χ5522222-2-200-2-22222-2-200-20-2000022222-2-2-200-2-200-2-222220022-22i2i−2i−2i00−2i−2i2i2i00-200000-2000-200000022002020000-2-2−2i2i0−2i02i2i0−2i00−2i02i0000002i2i00−2i−2i000000000000000000000
χ5622222-2-200-2-22222-2-200-20-2000022222-2-2-200-2-200-2-222220022-2−2i−2i2i2i002i2i−2i−2i00-200000-2000-200000022002020000-2-22i−2i02i0−2i−2i02i002i0−2i000000−2i−2i002i2i000000000000000000000
χ5722-2-222200-2-2-2222220020-200002-2-2-22-2-22002200-2-2-22-2-200222000022000022-2000002000-20000002-20020-200002-200-20-200-20-220202-22-22-2002-200000000000000000000000
χ5822-2-222200-2-2-2222220020-200002-2-2-22-2-22002200-2-2-22-2-2002220000-2-20000-2-2-2000002000-20000002-20020-200002-20020200202-20-20-22-22-2200-2200000000000000000000000
χ5922-2-222200-2-2-22222200-2020000-22-2-22-2-22002200-2-2-22-2-200222000022000022-200000-20002000000-2200-2020000-220020200-20-2-20-202-22-2-2200-2200000000000000000000000
χ6022-2-222200-2-2-22222200-2020000-22-2-22-2-22002200-2-2-22-2-2002220000-2-20000-2-2-200000-20002000000-2200-2020000-2200-20-2002022020-22-222-2002-200000000000000000000000
χ6122-2-222200-2-2-2222-2-20020-200002-2-2-2222-2002200-2-2-222200-2-2-200002i2i0000−2i−2i2000002000-20000002-200-2020000-2200−2i02i00−2i02i2i0−2i02i−2i−2i2i2i−2i00−2i2i00000000000000000000000
χ6222-2-222200-2-2-2222-2-20020-200002-2-2-2222-2002200-2-2-222200-2-2-20000−2i−2i00002i2i2000002000-20000002-200-2020000-22002i0−2i002i0−2i−2i02i0−2i2i2i−2i−2i2i002i−2i00000000000000000000000
χ6322-2-222200-2-2-2222-2-200-2020000-22-2-2222-2002200-2-2-222200-2-2-200002i2i0000−2i−2i200000-20002000000-220020-200002-2002i0−2i00−2i02i−2i02i02i−2i−2i2i−2i2i002i−2i00000000000000000000000
χ6422-2-222200-2-2-2222-2-200-2020000-22-2-2222-2002200-2-2-222200-2-2-20000−2i−2i00002i2i200000-20002000000-220020-200002-200−2i02i002i0−2i2i0−2i0−2i2i2i−2i2i−2i00−2i2i00000000000000000000000
χ6522-2-222-222-222-22222-200002-20000-2-22-2-22002-222-222-2-22222-2-20000000000002000-2000000002-20000-200002-200000022220000-2-2-2-200002-22-22-22-2000000000000000000000
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Here i is the imaginary unit (i² = −1).