Finite Group Databasebeta

← Group #11757861

Character table — Group #11757861

Order 972.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11133333333333333333999999999999999999999999999999363636363636363636363636363636363636
order133233669999991818181818183366666666999918181818181818181818181818181818333333999999999999
χ111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111−1+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
χ311111111111111111111111111111111111111111111111111−1−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
χ411111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ511111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+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−i321−1−i321−1+i32−1+i32−1+i32−1−i32−1−i3211−1−i32−1−i3211−1+i32−1+i32
χ611111111111111111111−1+i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−1+i32−1+i32−1−i321−1−i32−1−i3211−1+i32−1+i32−1+i32−1+i32−1−i32−1−i3211
χ711111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ811111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211
χ911111111111111111111−1−i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−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+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32
χ1011111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+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−i3211−1+i321−1−i321−1+i32−1−i32−1+i32−1−i321−1−i32−1+i32−1−i321−1+i32−1+i32−1−i32
χ1111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+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−i32−1+i32−1−i32−1−i321−1−i321−1+i3211−1+i32−1−i3211−1+i32
χ1211111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111111111−1+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−i321−1+i321−1+i321−1+i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1−i321
χ1311111111−1+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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i321−1+i32111−1−i32−1+i32−1−i32−1−i321−1−i32−1+i32−1+i32−1−i32−1+i32−1−i321−1+i32
χ1411111111−1+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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i321−1−i321−1+i321−1+i32−1−i321
χ1511111111−1+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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i321−1−i32−1+i32−1+i3211−1+i32−1+i32−1−i32−1+i321−1−i321−1−i321−1+i32−1−i32
χ1611111111−1+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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1−i32−1−i321−1+i32−1+i32−1+i32−1−i321−1+i32−1+i321−1+i32−1−i32−1−i321−1−i321
χ1711111111−1+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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1+i3211−1−i3211−1−i321−1+i32−1−i32−1−i32−1+i321−1+i32−1+i32−1−i32−1+i32−1−i32
χ1811111111−1+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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321−1+i32−1−i321−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i3211−1−i32−1−i3211−1+i321−1+i32
χ1911111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−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+i3211−1−i321−1+i321−1−i32−1+i32−1−i32−1+i321−1+i32−1−i32−1+i321−1−i32−1−i32−1+i32
χ2011111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−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+i321−1−i321−1−i321−1−i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1+i321
χ2111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111111111−1−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+i32−1−i32−1+i32−1+i321−1+i321−1−i3211−1−i32−1+i3211−1−i32
χ2211111111−1−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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1+i32−1+i321−1−i32−1−i32−1−i32−1+i321−1−i32−1−i321−1−i32−1+i32−1+i321−1+i321
χ2311111111−1−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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i3211−1+i32−1+i3211−1−i321−1−i32
χ2411111111−1−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−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−1−i32−1+i321−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111−1−i3211−1+i3211−1+i321−1−i32−1+i32−1+i32−1−i321−1−i32−1−i32−1+i32−1−i32−1+i32
χ2511111111−1−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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i321−1−i32111−1+i32−1−i32−1+i32−1+i321−1+i32−1−i32−1−i32−1+i32−1−i32−1+i321−1−i32
χ2611111111−1−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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i321−1+i32−1−i32−1−i3211−1−i32−1−i32−1+i32−1−i321−1+i321−1+i321−1−i32−1+i32
χ2711111111−1−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+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i321−1+i321−1−i321−1−i32−1+i321
χ283333−3+3i32−3−3i32333−3+3i32−3−3i323−3+3i32−3−3i3233333300−3+3i32−3−3i320000000000−3+3i32−3−3i32−3+3i32−3−3i32000000000000000000000000000000
χ293333−3+3i32−3−3i3233−3+3i32−3−3i323−3−3i323−3+3i32−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200−3+3i32−3−3i320000000000−3−3i3233−3+3i32000000000000000000000000000000
χ303333−3+3i32−3−3i3233−3−3i323−3+3i32−3+3i32−3−3i323−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200−3+3i32−3−3i3200000000003−3+3i32−3−3i323000000000000000000000000000000
χ313333−3−3i32−3+3i32333−3−3i32−3+3i323−3−3i32−3+3i3233333300−3−3i32−3+3i320000000000−3−3i32−3+3i32−3−3i32−3+3i32000000000000000000000000000000
χ323333−3−3i32−3+3i3233−3+3i323−3−3i32−3−3i32−3+3i323−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i3200−3−3i32−3+3i3200000000003−3−3i32−3+3i323000000000000000000000000000000
χ333333−3−3i32−3+3i3233−3−3i32−3+3i323−3+3i323−3−3i32−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i3200−3−3i32−3+3i320000000000−3+3i3233−3−3i32000000000000000000000000000000
χ34333-133-1-1333333-1-1-1-1-1-133-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ35333-133-1-1333333-1-1-1-1-1-1−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1-1-11−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32000000000000000000
χ36333-133-1-1333333-1-1-1-1-1-1−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1-1-11+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32000000000000000000
χ37333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i3233-1-1-1-1-1-1-1-1−3+3i32−3−3i32−3+3i32−3−3i321−i321−i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32000000000000000000
χ38333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i32−3−3i3233−3+3i321−i321−i321+i321+i321+i321+i321+i32-1-1-1-1-1-11−i321−i321−i32000000000000000000
χ39333-133-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321+i321+i321+i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i323−3+3i32−3−3i3231−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32-1-1-1000000000000000000
χ40333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i3233-1-1-1-1-1-1-1-1−3−3i32−3+3i32−3−3i32−3+3i321+i321+i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32000000000000000000
χ41333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32−3+3i32−3−3i32-1-11−i321−i321−i321+i321+i321+i323−3−3i32−3+3i3231+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32-1-1-1000000000000000000
χ42333-133-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321−i321−i321−i32−3−3i32−3+3i32-1-11+i321+i321+i321−i321−i321−i32−3+3i3233−3−3i321+i321+i321−i321−i321−i321−i321−i32-1-1-1-1-1-11+i321+i321+i32000000000000000000
χ43333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i322−1+i3−1−i32−1+i3−1−i300001−i321+i321−i321+i322−1+i3−1−i32−1+i3−1−i32−1+i3−1−i32−1+i3−1−i3000000000000000000
χ44333-1−3+3i32−3−3i32-1-13−3+3i32−3−3i323−3+3i32−3−3i32-1-1-1-1-1-1001−i321+i32−1+i3−1−i32−1−i32−1+i300001−i321+i321−i321+i32−1+i3−1−i32−1+i3−1−i32−1−i32−1+i3−1−i32−1+i3000000000000000000
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Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.