Finite Group Databasebeta

← Group #11989248

Character table — Group #11989248

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size1111222222222222222222444444444444444444444444444444555588888888888888888888888888881010101010101010101016161616161616161616161616161616202020202020202020204040404040404040
order1222224444444455101010101010448888888810101010202020202020202020202020202020204444888888882020202040404040404040404040404040404040222244444440404040404040404040404040404040448888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1
χ911111111-1-111-1-111111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-11111ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-1ii−i−iii−i−i
χ1011111111-1-111-1-111111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-11111−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-1−i−iii−i−iii
χ1111111111-1-111-1-111111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111−i−iii−i−iii
χ1211111111-1-111-1-111111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-1−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111ii−i−iii−i−i
χ1311111111-1-111-1-111111111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-11111ii−i−i−i−iii
χ1411111111-1-111-1-111111111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-11111−i−iiiii−i−i
χ1511111111-1-111-1-111111111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii111111-1-1-1-1−i−iiiii−i−i
χ1611111111-1-111-1-111111111-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i111111-1-1-1-1ii−i−i−i−iii
χ171111-1-1111-1-1-11-1111111111-1ii−i−iii−i−i-1-1-1-11111-1-111-1-1-1-111-1-111111-11-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111-1-111-1-1ii−i−iii−i−i1-1ii−i−iii−i−i1-11-1i−ii−i
χ181111-1-1111-1-1-11-1111111111-1ii−i−iii−i−i-1-1-1-11111-1-111-1-1-1-111-1-11111-11-11−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-1-1-111-1-111−i−iii−i−iii1-1ii−i−iii−i−i-11-11−ii−ii
χ191111-1-1111-1-1-11-1111111111-1ii−i−iii−i−i-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-11-1i−ii−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111111-1-111-1-1ii−i−iii−i−i-11−i−iii−i−iii-11-11−ii−ii
χ201111-1-1111-1-1-11-1111111111-1ii−i−iii−i−i-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-11-11−ii−ii11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-11111-1-111-1-111−i−iii−i−iii-11−i−iii−i−iii1-11-1i−ii−i
χ211111-1-1111-1-1-11-1111111111-1−i−iii−i−iii-1-1-1-11111-1-111-1-1-1-111-1-111111-11-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111-1-111-1-1−i−iii−i−iii1-1−i−iii−i−iii1-11-1−ii−ii
χ221111-1-1111-1-1-11-1111111111-1−i−iii−i−iii-1-1-1-11111-1-111-1-1-1-111-1-11111-11-11i−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-1-1-111-1-111ii−i−iii−i−i1-1−i−iii−i−iii-11-11i−ii−i
χ231111-1-1111-1-1-11-1111111111-1−i−iii−i−iii-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-11-1−ii−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111111-1-111-1-1−i−iii−i−iii-11ii−i−iii−i−i-11-11i−ii−i
χ241111-1-1111-1-1-11-1111111111-1−i−iii−i−iii-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-11-11i−ii−i11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-11111-1-111-1-111ii−i−iii−i−i-11ii−i−iii−i−i1-11-1−ii−ii
χ251111-1-111-11-1-1-1111111111-11ii−i−i−i−iii-1-1-1-11111-1-1-1-111-1-1-1-1111111i−i−ii-111-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1ii−i−i−i−iii-1-11111-1-1-11ii−i−i−i−iiii−i−ii-111-1
χ261111-1-111-11-1-1-1111111111-11ii−i−i−i−iii-1-1-1-11111-1-1-1-111-1-1-1-1111111−iii−i1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-1−i−iiiii−i−i11-1-1-1-111-11ii−i−i−i−iii−iii−i1-1-11
χ271111-1-111-11-1-1-1111111111-11ii−i−i−i−iii-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1i−i−ii-111-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111ii−i−i−i−iii-1-11111-1-11-1−i−iiiii−i−i−iii−i1-1-11
χ281111-1-111-11-1-1-1111111111-11ii−i−i−i−iii-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1−iii−i1-1-11-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111−i−iiiii−i−i11-1-1-1-1111-1−i−iiiii−i−ii−i−ii-111-1
χ291111-1-111-11-1-1-1111111111-11−i−iiiii−i−i-1-1-1-11111-1-1-1-111-1-1-1-1111111i−i−ii1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1ii−i−i−i−iii11-1-1-1-111-11−i−iiiii−i−ii−i−ii1-1-11
χ301111-1-111-11-1-1-1111111111-11−i−iiiii−i−i-1-1-1-11111-1-1-1-111-1-1-1-1111111−iii−i-111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-1−i−iiiii−i−i-1-11111-1-1-11−i−iiiii−i−i−iii−i-111-1
χ311111-1-111-11-1-1-1111111111-11−i−iiiii−i−i-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1i−i−ii1-1-11-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111ii−i−i−i−iii11-1-1-1-1111-1ii−i−i−i−iii−iii−i-111-1
χ321111-1-111-11-1-1-1111111111-11−i−iiiii−i−i-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1−iii−i-111-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111−i−iiiii−i−i-1-11111-1-11-1ii−i−i−i−iiii−i−ii1-1-11
χ3322222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000022222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3422222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+52000000000000000000
χ3522222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200002222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+52000000000000000000
χ3622222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52000000000000000000
χ3722222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000022222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ3822222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−52000000000000000000
χ3922222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200002222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−52000000000000000000
χ4022222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52000000000000000000
χ4122222222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200002i2i−2i−2i2i2i−2i−2i1−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ4222222222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-22222-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+520000−2i−2i2i2i−2i−2i2i2i1−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ4322222222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+5200002i2i−2i−2i−2i−2i2i2i1−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14000000000000000000
χ4422222222-2-222-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2-2-2-2-22222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1−521−521+521−521+520000−2i−2i2i2i2i2i−2i−2i1−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14000000000000000000
χ4522222222-2-222-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-22222-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−5200002i2i−2i−2i2i2i−2i−2i1+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.