Finite Group Databasebeta

← Group #72221572

Character table — Group #72221572

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124
size1111222222222244444444445555888888888888101010101010101010101616161616161616161616161616202020202020202020202020202020202020202020203232323232323232404040404040404040404040404040404040404040404040404080808080
order1244244444888824588881020202244481020202020204040404024444488881016161616202020404040404040248888888888888888888880808080808080804444444448888888888888888816161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ5111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1iiii−i−i−i−i-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1
χ6111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1−i−i−i−iiiii-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1
χ7111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1−i−i−i−iiiiiiiii−i−i−i−i1111
χ8111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1iiii−i−i−i−i−i−i−i−iiiii1111
χ911111111111111-1-11-1-1111111111-1-111111111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-11111111111111111111111-1-1-1-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ1011111111111111-1-11-1-1111111111-1-111111111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-111-1-1-111-1-1111111111111-1-1
χ1111111111111111-1-11-1-1111111111-1-111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-111-1-111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ1211111111111111-1-11-1-1111111111-1-111111111111111111111-1-1-111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-111-1-1-111-1-111-1-111111111-1-111
χ1311111111111111-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-11ii−i−i−i−iii1ii−i−i−i−iii−i−i−i−iiiii-1-111
χ1411111111111111-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-11−i−iiiii−i−i1−i−iiiii−i−iiiii−i−i−i−i-1-111
χ1511111111111111-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111111−i−iiiii−i−i1−i−iiiii−i−i−i−i−i−iiiii11-1-1
χ1611111111111111-1-11-1-111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111111ii−i−i−i−iii1ii−i−i−i−iiiiiii−i−i−i−i11-1-1
χ1711111-1-1-1-11-1-1-1-1111-1-1111111111-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11i−ii−i1-1-1-1-1111111-1-111iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i-1111111111-1-1-1-1-1-1-1-1ii−i−iii−i−ii−ii−i
χ1811111-1-1-1-11-1-1-1-1111-1-1111111111-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11i−ii−i1-1-1-1-1111111-1-111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-1-1-1-1-1-1-1-1111111111−i−iii−i−iiii−ii−i
χ1911111-1-1-1-11-1-1-1-1111-1-1111111111-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11−ii−ii1-1-1-1-1111111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-1-1-1-1-1-1-1-1111111111ii−i−iii−i−i−ii−ii
χ2011111-1-1-1-11-1-1-1-1111-1-1111111111-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-11−ii−ii1-1-1-1-1111111-1-111−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii-1111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−ii−ii
χ2111111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111111111i−ii−i1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111ii−i−iii−i−i1−i−i−i−iiiii-1iiii−i−i−i−i11-1-1-1-111−ii−ii
χ2211111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111111111i−ii−i1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1ii−i−iii−i−i1iiii−i−i−i−i-1−i−i−i−iiiii-1-11111-1-1−ii−ii
χ2311111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111111111−ii−ii1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-11111−i−iii−i−iii1iiii−i−i−i−i-1−i−i−i−iiiii11-1-1-1-111i−ii−i
χ2411111-1-1-1-11-1-1-1-1111-1-111111-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1111111111−ii−ii1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1−i−iii−i−iii1−i−i−i−iiiii-1iiii−i−i−i−i-1-11111-1-1i−ii−i
χ2511111-1-1-1-11-1-1-1-1-1-11111111111111-11-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1i−i−ii-1111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−iii−i−i−i−iii111-1-111-1-1-1-1-111-1-111−i−iii−i−iiii−i−ii
χ2611111-1-1-1-11-1-1-1-1-1-11111111111111-11-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1i−i−ii-1111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−i−i−iii1-1-111-1-111-111-1-111-1-1ii−i−iii−i−ii−i−ii
χ2711111-1-1-1-11-1-1-1-1-1-11111111111111-11-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1−iii−i-1111111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iiiii−i−i1-1-111-1-111-111-1-111-1-1−i−iii−i−iii−iii−i
χ2811111-1-1-1-11-1-1-1-1-1-11111111111111-11-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1−iii−i-1111111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii−i−iiiii−i−i111-1-111-1-1-1-1-111-1-111ii−i−iii−i−i−iii−i
χ2911111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11-1-1-1-1-1-111111111-1i−i−ii-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111ii−i−i−i−iii-1−i−iiiii−i−i1ii−i−i−i−iii-1-11111-1-1−iii−i
χ3011111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11-1-1-1-1-1-111111111-1i−i−ii-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1ii−i−i−i−iii-1ii−i−i−i−iii1−i−iiiii−i−i11-1-1-1-111−iii−i
χ3111111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11-1-1-1-1-1-111111111-1−iii−i-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111−i−iiiii−i−i-1ii−i−i−i−iii1−i−iiiii−i−i-1-11111-1-1i−i−ii
χ3211111-1-1-1-11-1-1-1-1-1-111111111-1-1-1-11-11-1-1-1-11-1-1-1-1-1-111111111-1−iii−i-1111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1−i−iiiii−i−i-1−i−iiiii−i−i1ii−i−i−i−iii11-1-1-1-111i−i−ii
χ332222222222-2-2-2-2222-2-2-2-222222222-2222222-2-2-2-2222222-2-2-2-220000222-2-2-2-2-2-222-2-2-2-2000000000000000000000000200000000-200000000000000000000
χ342222222222-2-2-2-2222-2-2-2-2222-2-2-2-22-2222222-2-2-2-2-2-2-2-2-2-2222220000222-2-2-2-2-2-2-2-22222000000000000000000000000-200000000200000000000000000000
χ352222222222-2-2-2-2-2-2222-2-22222222-22222222-2-2-2-2222222-2-2-2-2-20000-2-2-222-2-222-2-222-2-2000000000000000000000000-200000000200000000000000000000
χ362222222222-2-2-2-2-2-2222-2-2222-2-2-2-2-22222222-2-2-2-2-2-2-2-2-2-22222-20000-2-2-222-2-22222-2-222000000000000000000000000200000000-200000000000000000000
χ3722222-2-2-2-22222222222-2-22222222-2-22-2-2-2-22222222-2-2-2-22222200002-2-222-2-2-2-22222-2-2000000000000000000000000-200000000-200000000000000000000
χ3822222-2-2-2-22222222222-2-2222-2-2-2-2-2-22-2-2-2-222222-2-22222-2-2-2-2200002-2-222-2-2-2-2-2-2-2-222000000000000000000000000200000000200000000000000000000
χ3922222-2-2-2-222222-2-22-2-2-2-22222222222-2-2-2-22222222-2-2-2-22222-20000-222-2-2-2-222-2-2-2-2-2-2000000000000000000000000200000000200000000000000000000
χ4022222-2-2-2-222222-2-22-2-2-2-2222-2-2-2-2222-2-2-2-222222-2-22222-2-2-2-2-20000-222-2-2-2-222222222000000000000000000000000-200000000-200000000000000000000
χ4122-2-220000-22i2i−2i−2i2-222i−2i002-2-222-2-20020000-22i2i−2i−2i2-200002i2i−2i−2i20000-2002i−2i00002-22i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ4222-2-220000-22i2i−2i−2i2-222i−2i002-2-222-2-20020000-22i2i−2i−2i2-200002i2i−2i−2i20000-2002i−2i00002-22i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ4322-2-220000-22i2i−2i−2i2-222i−2i002-2-2-2-2220020000-22i2i−2i−2i-220000−2i−2i2i2i20000-2002i−2i0000-22−2i2i001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i000000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ4422-2-220000-22i2i−2i−2i2-222i−2i002-2-2-2-2220020000-22i2i−2i−2i-220000−2i−2i2i2i20000-2002i−2i0000-22−2i2i00−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i00000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ4522-2-220000-22i2i−2i−2i-222−2i2i002-2-222-2-20020000-22i2i−2i−2i2-200002i2i−2i−2i-20000200−2i2i0000-22−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ4622-2-220000-22i2i−2i−2i-222−2i2i002-2-222-2-20020000-22i2i−2i−2i2-200002i2i−2i−2i-20000200−2i2i0000-22−2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ4722-2-220000-22i2i−2i−2i-222−2i2i002-2-2-2-2220020000-22i2i−2i−2i-220000−2i−2i2i2i-20000200−2i2i00002-22i−2i001−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i00000000000000000000000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i0000
χ4822-2-220000-22i2i−2i−2i-222−2i2i002-2-2-2-2220020000-22i2i−2i−2i-220000−2i−2i2i2i-20000200−2i2i00002-22i−2i00−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i000000000000000000000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i0000
χ4922-2-220000-2−2i−2i2i2i2-22−2i2i002-2-222-2-20020000-2−2i−2i2i2i2-20000−2i−2i2i2i20000-200−2i2i00002-2−2i2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ5022-2-220000-2−2i−2i2i2i2-22−2i2i002-2-222-2-20020000-2−2i−2i2i2i2-20000−2i−2i2i2i20000-200−2i2i00002-2−2i2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ5122-2-220000-2−2i−2i2i2i2-22−2i2i002-2-2-2-2220020000-2−2i−2i2i2i-2200002i2i−2i−2i20000-200−2i2i0000-222i−2i001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i000000000000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ5222-2-220000-2−2i−2i2i2i2-22−2i2i002-2-2-2-2220020000-2−2i−2i2i2i-2200002i2i−2i−2i20000-200−2i2i0000-222i−2i00−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i00000000000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ5322-2-220000-2−2i−2i2i2i-2222i−2i002-2-222-2-20020000-2−2i−2i2i2i2-20000−2i−2i2i2i-200002002i−2i0000-222i−2i001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ5422-2-220000-2−2i−2i2i2i-2222i−2i002-2-222-2-20020000-2−2i−2i2i2i2-20000−2i−2i2i2i-200002002i−2i0000-222i−2i00−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ5522-2-220000-2−2i−2i2i2i-2222i−2i002-2-2-2-2220020000-2−2i−2i2i2i-2200002i2i−2i−2i-200002002i−2i00002-2−2i2i001+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i00000000000000000000000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i0000
χ5622-2-220000-2−2i−2i2i2i-2222i−2i002-2-2-2-2220020000-2−2i−2i2i2i-2200002i2i−2i−2i-200002002i−2i00002-2−2i2i00−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i000000000000000000000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i0000
χ5722-2-2-22i2i−2i−2i22i−2i2i−2i002002-22-2-222-2-200-22i2i−2i−2i22i−2i2i−2i-222i2i−2i−2i2i−2i2i−2i00000000002-20000002-200000000000000000000000002-2002-20002i−2i002i−2i00000000000000
χ5822-2-2-22i2i−2i−2i22i−2i2i−2i002002-22-2-222-2-200-22i2i−2i−2i22i−2i2i−2i-222i2i−2i−2i2i−2i2i−2i00000000002-20000002-20000000000000000000000000-2200-22000−2i2i00−2i2i00000000000000
χ5922-2-2-22i2i−2i−2i22i−2i2i−2i002002-22-2-2-2-22200-22i2i−2i−2i22i−2i2i−2i2-2−2i−2i2i2i−2i2i−2i2i00000000002-2000000-2200000000000000000000000002i−2i00−2i2i000-22002-200000000000000
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Here i is the imaginary unit (i² = −1).