Finite Group Databasebeta

← Group #11989254

Character table — Group #11989254

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size111122222222222222222244444444444444444444448888888888888888888888888888888810101010101010101616161616161616161616161616161620202020404040404040404040404040
order1222224444444455101010101010441010101020202020202020202020202020202020888888888888202020204040404040404040404040404040404022444444404040404040404040404040404040402444888888888888
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
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
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
χ911111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-111-1-1ii−i−iii−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−i−iii−i−iii
χ1211111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-111-1-1−i−iii−i−iii-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111ii−i−iii−i−i
χ1311111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111ii−i−i−i−iii
χ1411111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−i−iiiii−i−i
χ1511111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−i−iiiii−i−i
χ1611111111-11-11-1-111111111-1-11111111111-1-1-1-111-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1ii−i−i−i−iii
χ171111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1i−ii−ii−ii−i1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i111111-1-1ii−i−iii−i−i11-1-111-1-1-1-11-1i−ii−ii−ii−i1-11-1
χ181111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1i−ii−ii−ii−i1-11-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-111ii−i−iii−i−i11-1-111-1-111-11−ii−ii−ii−ii-11-11
χ191111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1i−ii−i−ii−ii-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i111111-1-1−i−iii−i−iii-1-111-1-111-1-11-1i−ii−i−ii−ii-11-11
χ201111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1i−ii−i−ii−ii-11-1111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-1-1-111−i−iii−i−iii-1-111-1-11111-11−ii−iii−ii−i1-11-1
χ211111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii−iii−ii−i-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii111111-1-1ii−i−iii−i−i-1-111-1-111-1-11-1−ii−iii−ii−i-11-11
χ221111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii−iii−ii−i-11-1111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-111ii−i−iii−i−i-1-111-1-11111-11i−ii−i−ii−ii1-11-1
χ231111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii−ii−ii−ii1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii111111-1-1−i−iii−i−iii11-1-111-1-1-1-11-1−ii−ii−ii−ii1-11-1
χ241111-1-1111-1-1-1-11111111111-1-1-1-1-11111-1-111-1-1-1-111-1-1−ii−ii−ii−ii1-11-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-1-1-111−i−iii−i−iii11-1-111-1-111-11i−ii−ii−ii−i-11-11
χ251111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111i−i−ii1-1-11−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-11111-1-1-1-111−i−iiiii−i−i-1-1-11i−i−ii1-1-11−iii−i
χ261111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111i−i−ii1-1-11−iii−i-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-111-1-1-1-111−i−iiiii−i−i111-1−iii−i-111-1i−i−ii
χ271111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111i−i−ii-111-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-111-1-11111-1-1ii−i−i−i−iii-1-1-11i−i−ii-111-1i−i−ii
χ281111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111i−i−ii-111-1i−i−ii-1-111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111-1-1-1-11111-1-1ii−i−i−i−iii111-1−iii−i1-1-11−iii−i
χ291111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111−iii−i1-1-11i−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-11111-1-1-1-111ii−i−i−i−iii-1-1-11−iii−i1-1-11i−i−ii
χ301111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111−iii−i1-1-11i−i−ii-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-111-1-1-1-111ii−i−i−i−iii111-1i−i−ii-111-1−iii−i
χ311111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111−iii−i-111-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-111-1-11111-1-1−i−iiiii−i−i-1-1-11−iii−i-111-1−iii−i
χ321111-1-111-1-11-11-111111111-11-1-1-1-11111-1-1-1-111-1-1-1-111−iii−i-111-1−iii−i-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111-1-1-1-11111-1-1−i−iiiii−i−i111-1i−i−ii1-1-11i−i−ii
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+52−1−52−1+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
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+52−1−521−521−521+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
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+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
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+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
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
χ4122222222-22-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+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+5222-2-22i2i−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+5200000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ4222222222-22-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+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+5222-2-2−2i−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+5200000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ4322222222-22-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+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+52-2-2222i2i−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+52−1−52−1−5200000000−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000
χ4422222222-22-22-2-2−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52-2-2−1+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+52-2-222−2i−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+52−1−52−1−5200000000ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000
χ4522222222-22-22-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+521−5222-2-22i2i−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+521−521−5200000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ380000000000000000
χ4622222222-22-22-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+521−5222-2-2−2i−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+521−521−5200000000ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
χ4722222222-22-22-2-2−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2−1−52−1−52−1+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+521−52-2-2222i2i−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+5200000000−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ380000000000000000
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χ11188-8-800000-80800−2+25−2−25−2+252−252−25−2−252+252+250000000000−2+25−2−2500002−252+250000000000000000000000000000000000000000000000000000000000000000000000000000
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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.