Finite Group Databasebeta

← Group #72221568

Character table — Group #72221568

Order 2560.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148
size11112222222222444444444444444444444444444444555588888888888888888888888888888810101010101010101010161616161616161616161616161616162020202020202020202020202020404040404040404040404040404040404040404040408080808080808080
order1244244444888824588888888888810101020202020202020202020202022444888884040404040404040404040404040404040404040404040402444448888102020204040404040404040404040402488888888888844444444488888888888881616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ411111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ5111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1iiii−i−i−i−i-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1−i−i−i−iiiii-11111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111111111-1-11-1-111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-11-1-111111111111111111111111111111-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-111-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11ii−i−i−i−iii11111ii−i−i−i−iiiii−i−i−i−iii
χ1211111111111111-1-11-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11−i−iiiii−i−i11111−i−iiiii−i−i−i−iiiii−i−i
χ1311111111111111-1-11-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-1111111-1-111-1-1-1-111-1-111
χ1411111111111111-1-11-1-111-1-1-1-1-1-1-1-11111111111111111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-111-1-11111-1-111-1-1
χ1511111111111111-1-11-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111ii−i−i−i−iii1-1-1-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111111111-1-11-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111111−i−iiiii−i−i1-1-1-1-1−i−iiiii−i−iii−i−i−i−iii
χ17111111-1-1-1-1-1-1-1-1111-1-111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11111-11ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-111iiii−i−i−i−i-1111111111ii−i−i-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ18111111-1-1-1-1-1-1-1-1111-1-111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-11111-11ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-111iiii−i−i−i−i-1-1-1-1-1-1-1-1-11ii−i−i11111111−ii−ii−ii−ii
χ19111111-1-1-1-1-1-1-1-1111-1-111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111-1-111-1-1iiii−i−i−i−i-1-111-1-1−i−i−i−iiiii1iiii−i−i−i−i-1−i−iii−i−i−i−iiiii-11-111-11-1
χ20111111-1-1-1-1-1-1-1-1111-1-111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-1-11ii−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-11111111111-1-111-1-1iiii−i−i−i−i-1-111-1-1−i−i−i−iiiii1−i−i−i−iiiii-1−i−iiiiiii−i−i−i−i1-11-1-11-11
χ21111111-1-1-1-1-1-1-1-1111-1-111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11111-11−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-111−i−i−i−iiiii-1111111111−i−iii-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ22111111-1-1-1-1-1-1-1-1111-1-111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-11111-11−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-111−i−i−i−iiiii-1-1-1-1-1-1-1-1-11−i−iii11111111i−ii−ii−ii−i
χ23111111-1-1-1-1-1-1-1-1111-1-111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111111111-1-111-1-1−i−i−i−iiiii-1-111-1-1iiii−i−i−i−i1iiii−i−i−i−i-1ii−i−i−i−i−i−iiiii1-11-1-11-11
χ24111111-1-1-1-1-1-1-1-1111-1-111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-1-11−i−iii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-11111111111-1-111-1-1−i−i−i−iiiii-1-111-1-1iiii−i−i−i−i1−i−i−i−iiiii-1ii−i−iiiii−i−i−i−i-11-111-11-1
χ25111111-1-1-1-1-1-1-1-1-1-111111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-111111-1−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii-1-11111iiii−i−i−i−i111-1-111-1-1-1−i−iii-1-111-1-111i−i−iii−i−ii
χ26111111-1-1-1-1-1-1-1-1-1-111111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-111111-1−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii-1-11111iiii−i−i−i−i1-1-111-1-111-1−i−iii11-1-111-1-1−iii−i−iii−i
χ27111111-1-1-1-1-1-1-1-1-1-111111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111111111-1-111-1-111−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii-1ii−i−i−i−iii1ii−i−i−i−iiiii−i−i-111-11-1-11
χ28111111-1-1-1-1-1-1-1-1-1-111111iiii−i−i−i−i1111111-1-1-1-1-1-1-1-1-1-1-1-11-1−i−iii1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111111111-1-111-1-111−i−i−i−iiiii11-1-1-1-1−i−i−i−iiiii-1−i−iiiii−i−i1ii−i−iii−i−i−i−iii1-1-11-111-1
χ29111111-1-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-111111-1ii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−i-1-11111−i−i−i−iiiii111-1-111-1-1-1ii−i−i-1-111-1-111−iii−i−iii−i
χ30111111-1-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-111111-1ii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−i-1-11111−i−i−i−iiiii1-1-111-1-111-1ii−i−i11-1-111-1-1i−i−iii−i−ii
χ31111111-1-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111111111-1-111-1-111iiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i-1ii−i−i−i−iii1−i−iii−i−iiiii−i−i1-1-11-111-1
χ32111111-1-1-1-1-1-1-1-1-1-111111−i−i−i−iiiii1111111-1-1-1-1-1-1-1-1-1-1-1-11-1ii−i−i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111111111-1-111-1-111iiii−i−i−i−i11-1-1-1-1iiii−i−i−i−i-1−i−iiiii−i−i1−i−iiiii−i−i−i−iii-111-11-1-11
χ332222222222-2-2-2-2222-2-2-2-20000000022222222222222222222-20000-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-22222-2-2-2-20000000022-2-2-2-200000000200000000-200000000000000000000
χ342222222222-2-2-2-2222-2-2-2-200000000222222222222222-2-2-2-22-20000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-222222222-2-2-2-200000000-2-2222200000000-200000000200000000000000000000
χ352222222222-2-2-2-2-2-2222-2-2000000002222222222222222222-220000-2-2-2-2-2-2-2-20000000000000000222222-2-2-2-2-2-2-2-2222200000000-2-222-2-200000000-200000000200000000000000000000
χ362222222222-2-2-2-2-2-2222-2-200000000222222222222222-2-2-2-2-220000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-22222-2-2-2-222220000000022-2-22200000000200000000-200000000000000000000
χ37222222-2-2-2-2222222222-2-2000000002222222-2-2-2-2-2-2-2-22222-2-20000-2-2-2-22222000000000000000022-2-2-2-2222222-2-2-2-222000000002222-2-200000000-200000000-200000000000000000000
χ38222222-2-2-2-2222222222-2-2000000002222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000-2-2-2-222220000000000000000-2-22222-2-2-2-222-2-2-2-22200000000-2-2-2-22200000000200000000200000000000000000000
χ39222222-2-2-2-22222-2-22-2-2-2-2000000002222222-2-2-2-2-2-2-2-22222220000-2-2-2-22222000000000000000022-2-2-2-22222-2-22222-2-200000000-2-2-2-2-2-200000000200000000200000000000000000000
χ40222222-2-2-2-22222-2-22-2-2-2-2000000002222222-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-222220000000000000000-2-22222-2-2-2-2-2-22222-2-20000000022222200000000-200000000-200000000000000000000
χ4122-2-22-200002i2i−2i−2i2-222i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i222-2-2-2-20000000022-2-2001+i−1−i1−i−1+i00002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i2-200002i2i−2i−2i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000001+i−1−i1−i−1+i0000000000000000
χ4222-2-22-200002i2i−2i−2i2-222i−2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i222-2-2-2-200000000-2-222001+i−1−i1−i−1+i00002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i-220000−2i−2i2i2i2-200002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000−1−i1+i−1+i1−i0000000000000000
χ4322-2-22-200002i2i−2i−2i2-222i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i222-2-2-2-20000000022-2-200−1−i1+i−1+i1−i00002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i2-200002i2i−2i−2i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000−1−i1+i−1+i1−i0000000000000000
χ4422-2-22-200002i2i−2i−2i2-222i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i222-2-2-2-200000000-2-22200−1−i1+i−1+i1−i00002i2i−2i−2i−1−i−1−i−1−i−1−i1+i1+i1+i1+i−1+i−1+i−1+i−1+i1−i1−i1−i1−i-220000−2i−2i2i2i2-200002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000001+i−1−i1−i−1+i0000000000000000
χ4522-2-22-200002i2i−2i−2i-222−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i222-2-2-2-20000000022-2-200−1−i1+i−1+i1−i00002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i2-200002i2i−2i−2i-220000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000−1−i1+i−1+i1−i0000000000000000
χ4622-2-22-200002i2i−2i−2i-222−2i2i001+i1+i−1−i−1−i1−i1−i−1+i−1+i222-2-2-2-200000000-2-22200−1−i1+i−1+i1−i00002i2i−2i−2i1+i1+i1+i1+i−1−i−1−i−1−i−1−i1−i1−i1−i1−i−1+i−1+i−1+i−1+i-220000−2i−2i2i2i-220000−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000001+i−1−i1−i−1+i0000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.