Finite Group Databasebeta

← Group #13152206

Character table — Group #13152206

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89
size11133333333333444444444121212121212121212121212121212121212121212121212121212121212121212121212121212121212484848484848484848484848484848484848484848484848
order13323366666666222666666244466666666666666121212121212121212121212121212121212121212121212999999181818181818181818181818181818181818
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ311111111111111111111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ4111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1111-1-1-1-1-1-1
χ5111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ6111111111111111-1-111-1-1-1-111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ711111111111111-11-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-1-1-1111-1-1-1
χ811111111111111-11-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32
χ911111111111111-11-1-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32
χ1011111111111111-1-11-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111
χ1111111111111111-1-11-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32
χ1211111111111111-1-11-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32
χ131111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ141111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32
χ151111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111111111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321
χ161111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i32
χ171111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i32−1+i32−1−i3211−i321+i32-11−i321+i32-1−1−i321−1+i321+i32-11−i321+i32-11−i32
χ181111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321-1-111-1-1-1-111-1-111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321−i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i321−1−i321−1+i321+i32-11−i321+i32-11−i32−1+i32−1−i3211−i321+i32-11−i321+i32-1
χ191111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1-111-1-1-111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32
χ201111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1-111-1-1-111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i321−1−i321−1+i321−i321+i32-1−1+i32−1−i3211−i321+i32-11+i32-11−i32−1−i321−1+i321+i32-11−i32
χ211111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-11-1-1-111-1-1-111-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i32−1−i321−1+i321+i32-11−i321−i321+i32-1−1+i32−1−i3211−i321+i32-1
χ221111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11-1-1-1-111-11-11-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i32
χ231111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11-1-1-1-111-11-11-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i321−1−i321−1+i321−i321+i32-11−i321+i32-1−1+i32−1−i3211+i32-11−i321+i32-11−i32−1−i321−1+i32
χ241111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11-1-1-1-111-11-11-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i3211+i32-11−i321+i32-11−i32−1−i321−1+i321−i321+i32-11−i321+i32-1−1+i32−1−i321
χ251111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ261111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ271111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111111111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32
χ281111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ291111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321−i32-11+i321−i32-11+i32−1−i32−1+i3211+i321−i32-11+i321−i32-1
χ301111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321-1-111-1-1-1-111-1-111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211+i321−i32-11+i321−i32-1−1+i321−1−i321−i32-11+i321−i32-11+i32
χ311111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-1-111-1-1-111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i32
χ321111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-1-111-1-1-111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i32−1+i321−1−i321−i32-11+i321+i321−i32-1−1−i32−1+i3211+i321−i32-1
χ331111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-11-1-1-111-1-1-111-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i321−1+i321−1−i321+i321−i32-1−1−i32−1+i3211+i321−i32-11−i32-11+i32−1+i321−1−i321−i32-11+i32
χ341111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11-1-1-1-111-11-11-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i32
χ351111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11-1-1-1-111-11-11-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i3211−i32-11+i321−i32-11+i32−1+i321−1−i321+i321−i32-11+i321−i32-1−1−i32−1+i321
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χ8612−6+6i3−6−6i3-4002−2i32+2i3−4−4i38−4+4i3−4+4i3−4−4i38000000000000000000000000000000000000000000000000000000000000000000000000000
χ8712−6−6i3−6+6i3-4002+2i32−2i38−4−4i3−4+4i38−4−4i3−4+4i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ8812−6−6i3−6+6i3-4002+2i32−2i3−4+4i38−4−4i3−4−4i3−4+4i38000000000000000000000000000000000000000000000000000000000000000000000000000
χ8912−6−6i3−6+6i3-4002+2i32−2i3−4−4i3−4+4i38−4+4i38−4−4i3000000000000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).