Finite Group Databasebeta

← Group #13016181

Character table — Group #13016181

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111222222224444444444444444448888888888888888888888888888101010101010101010101010202020202020202020202020202020202020404040404040404040404040
order12222222444444444451010101010101020202020202020204444202020202020202020202020202020202020202020202020222244444444448888888888888888444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1−i−i−i−iiiii
χ51111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111−i−i−i−iiiii
χ81111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111iiii−i−i−i−i
χ911111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1
χ1311111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111−i−iii−i−iii
χ1411111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111ii−i−iii−i−i
χ1511111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ171-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-111-1-111-1-111-1-111-1-1i−ii−ii−ii−ii−ii−i
χ181-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111i−ii−i−ii−ii−ii−ii
χ191-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-11ii−i−iii−i−i−i−iii−i−iii−ii−ii-11-111-11-1
χ201-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1i−ii−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111-11−i−iii−i−iiiii−i−iii−i−i−ii−ii1-11-1-11-11
χ211-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-111-1-111-1-111-1-111-1-1−ii−ii−ii−ii−ii−ii
χ221-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-11-1-1-111-1-111-1-111-1-111−ii−iii−ii−ii−ii−i
χ231-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-11ii−i−iii−i−i−i−iii−i−iiii−ii−i1-11-1-11-11
χ241-1-1111-1-11111-1-1-1-11-11-1-1111-1-11111-1-1-1-1−ii−ii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111-11−i−iii−i−iiiii−i−iii−i−ii−ii−i-11-111-11-1
χ251-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-1111-1ii−i−i−i−iiiii−i−i−i−iiii−i−ii-111-1-111-1
χ261-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-1111-1−i−iiiii−i−i−i−iiiii−i−ii−i−ii1-1-111-1-11
χ271-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1111-1-1-1-111-1-11111-1-1−iii−ii−i−ii−iii−i
χ281-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111i−i−ii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-11-1-11111-1-111-1-1-1-111−iii−i−iii−ii−i−ii
χ291-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-1111-1ii−i−i−i−iiiii−i−i−i−iii−iii−i1-1-111-1-11
χ301-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-1111-1−i−iiiii−i−i−i−iiiii−i−i−iii−i-111-1-111-1
χ311-1-1111-1-1-1-1-1-111111-11-1-1111-1-1-1-1-1-11111−iii−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-1111-1-1-1-111-1-11111-1-1i−i−ii−iii−ii−i−ii
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χ3622222222-2-222-2-222-2-222222222-2-2-2-2-2-2-2-20000-2-2-2-222220000000000000000-2-2-2-222-2-2-2-222220000000000000000000000000000
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Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.