Finite Group Databasebeta

← Group #13167439

Character table — Group #13167439

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222222222444444448888888888888888888899991818181818181818181818181818181818181818181818181818181818181818181836363636363636367272727272727272
order1244234666121212123366121212123366666666121212121212121212122244244444444466661212121212121212121212121212121212121212888888882424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ61111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ81111-11-1-1-1111-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
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χ1111-1-111-1111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iii−ii−i−ii−ii
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χ3222-2-2-222-2-22-2-2222222-2-2-2-222-2-2-2-2-2-22222-2-2-2-22222-2-2222-20000000022-2-222-2-200000000000000000000000000000000
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χ948-8−8i8i0-40−4i34i344i−4i−4343-424-24i−2i−4i2i2-1002i3−i3−2i3i3-2100−2ii2i−i23−3−233000000000000000000000000000000000000000000000000000000
χ958-8−8i8i0-404i3−4i344i−4i43−432-4-24−2i4i2i−4i-1200i3−2i3−i32i31-200i−2i−i2i3−23−323000000000000000000000000000000000000000000000000000000
χ968-8−8i8i0-404i3−4i344i−4i43−43-424-24i−2i−4i2i2-100−2i3i32i3−i3-2100−2ii2i−i−23323−3000000000000000000000000000000000000000000000000000000

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