Finite Group Databasebeta

← Group #12065400

Character table — Group #12065400

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222222244444444444444444444448888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222224444444455101010101010441010101020202020202020202020202020202020244488888888202020204040404040404040404040404040404022444444101020202020202040404040404040402444244488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-11111-1-1-1-1iiii−i−i−i−i1-1-1-1-111-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1111111-1-1-1-1iiii−i−i−i−i-11111-1-11−i−iii−i−iii
χ1111111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-11111-1-1-1-1−i−i−i−iiiii1-1-1-1-111-1−i−iii−i−iii
χ1211111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1111111-1-1-1-1−i−i−i−iiiii-11111-1-11ii−i−iii−i−i
χ1311111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1-1-1-1-11111−i−i−i−iiiii1-1-1-11-1-11ii−i−i−i−iii
χ1411111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111-1-1-1-11111−i−i−i−iiiii-1111-111-1−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1-1-1-1-11111iiii−i−i−i−i1-1-1-11-1-11−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111-1-1-1-11111iiii−i−i−i−i-1111-111-1ii−i−i−i−iii
χ17111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i111-1-11-11i−ii−ii−ii−i
χ18111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1i−ii−ii−ii−i-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111111111-1-111-1-1ii−i−iii−i−i-1-1-111-11-1−ii−ii−ii−ii
χ19111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii111-1-11-11−ii−ii−ii−ii
χ20111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1−ii−ii−ii−ii-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111111111-1-111-1-1−i−iii−i−iii-1-1-111-11-1i−ii−ii−ii−i
χ21111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii111-11-11-1i−ii−i−ii−ii
χ22111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11i−ii−i−ii−ii-1-111iiii−i−i−i−iiiii−i−i−i−i-1-1111111-1-111-1-111−i−iii−i−iii-1-1-11-11-11−ii−iii−ii−i
χ23111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i111-11-11-1−ii−iii−ii−i
χ24111111-1-111-1-1-1-111111111-111111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11−ii−iii−ii−i-1-111−i−i−i−iiiii−i−i−i−iiiii-1-1111111-1-111-1-111ii−i−iii−i−i-1-1-11-11-11i−ii−i−ii−ii
χ25111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1111-1-11-1-111-1-11
χ26111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111-1-111-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-111-111-1-1-111-111-1-111-1
χ27111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111-1-11-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-11-1-1111-1-1-111-1-111-1
χ28111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1111111111-1-11-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-111-1-1-1111-1-111-1-11
χ29111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111111111-111-11-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-11-1-11-1-1111-1-11-111-1
χ30111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111111111-111-11-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-111-111-1-1-111-11-1-11
χ31111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-1111-1-11-1-111-111-11-1-11
χ32111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-111111111-111-1-111-11-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-111-111-1-11-1-11-111-1
χ3322222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52222222222222−1+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+52−1−52−1−5200000000−1+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+52−1−520000000000000000
χ3422222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−522222-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000
χ3522222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-22222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000
χ3622222222222222−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000
χ3722222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+52222222222222−1−52−1+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+5200000000−1−52−1+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+520000000000000000
χ3822222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+522222-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000
χ3922222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+52-2-2-2-22222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000
χ4022222222222222−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+5222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000
χ4122222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5222-2-22i2i−2i−2i2i2i−2i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ4222222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+5222-2-2−2i−2i2i2i−2i−2i2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ4322222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-2-2222i2i−2i−2i−2i−2i2i2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000001−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ4422222222-2-2-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−522-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52-2-222−2i−2i2i2i2i2i−2i−2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000001−521+521−521+52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ4522222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5222-2-22i2i−2i−2i2i2i−2i−2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ3800000000−1−52−1+52−1−52−1+521+521−521+521−52−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000000000
χ4622222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−5222-2-2−2i−2i2i2i−2i−2i2i2i−1−52−1+521+521−52ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ3800000000−1−52−1+52−1−52−1+521+521−521+521−52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
χ4722222222-2-2-2-2-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+522-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52-2-2222i2i−2i−2i−2i−2i2i2i−1−52−1+521+521−52−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38000000001+521−521+521−52−1−52−1+52−1−52−1+52ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
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χ10988-8-800008i−8i0000−2+25−2−25−2+252−252−25−2−252+252+250000000000−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ11188-8-80000−8i8i0000−2+25−2−25−2+252−252−25−2−252+252+2500000000004ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ1400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-80000−8i8i0000−2−25−2+25−2−252+252+25−2+252−252−2500000000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ3800000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8008i−8i000000−2+25−2−252−25−2+252−252+25−2−252+25000000−4ζ22−4ζ384ζ22+4ζ38−4ζ6−4ζ144ζ6+4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8008i−8i000000−2−25−2+252+25−2−252+252−25−2+252−25000000−4ζ6−4ζ144ζ6+4ζ14−4ζ22−4ζ384ζ22+4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-800−8i8i000000−2+25−2−252−25−2+252−252+25−2−252+250000004ζ22+4ζ38−4ζ22−4ζ384ζ6+4ζ14−4ζ6−4ζ14000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800−8i8i000000−2−25−2+252+25−2−252+252−25−2+252−250000004ζ6+4ζ14−4ζ6−4ζ144ζ22+4ζ38−4ζ22−4ζ38000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.