Finite Group Databasebeta

← Group #14516587

Character table — Group #14516587

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size1111111113333333339999999999999999999999999999999936363636363636363636363636363636363611111111133333333399999999999999999999999999999999363636363636363636363636363636363636
order1333333332666666663366666699999918181818181818181818181818181818181899999999999999999926666666626666666666666666181818181818181818181818181818181818181818181818181818181818181818181818181818181818
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
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−i3211111111111111111111111111111111111111111111111111−1+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+i3211111111111111111111111111111111111111111111111111−1−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
χ411111111111111111111111111−1+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−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111111111−1+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−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ511111111111111111111111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i3211111111111111111111111111−1+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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32
χ611111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211111111111111111111111111111−1+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−i32−1+i32−1+i32−1+i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111
χ711111111111111111111111111−1−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+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111111111−1−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+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ811111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211111111111111111111111111111−1−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+i32−1−i32−1−i32−1−i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111
χ911111111111111111111111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i3211111111111111111111111111−1−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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32
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χ13333333333-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000333333333-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000
χ14333333333-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000333333333-1-1-1-1-1-1-1-1-133-1-1-1-1-1-1−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000
χ15333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3000000000000000000
χ16333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3000000000000000000333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3000000000000000000
χ17333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222000000000000000000333333333-1-1-1-1-1-1-1-1-1−3+3i32−3−3i321−i321−i321−i321+i321+i321+i32000000−1−i3−1−i3−1−i3222−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3222000000000000000000
χ18333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3000000000000000000
χ19333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222000000000000000000333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222000000000000000000
χ20333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3000000000000000000333333333-1-1-1-1-1-1-1-1-1−3−3i32−3+3i321+i321+i321+i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3222−1+i3−1+i3−1+i3222−1−i3−1−i3−1−i3000000000000000000
χ21333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000000000333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5000000000000000000
χ22333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000000000333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5000000000000000000
χ23333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000000000333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i3200000000−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−2ζ−ζ4ζ+2ζ4ζ−ζ4−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5−ζ2−2ζ52ζ2+ζ5−ζ2+ζ5000000000000000000
χ24333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i321−i321+i32002−1+i3−1−i32−1+i3−1−i3ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ−ζ7−ζ4−ζ−ζ7−ζ4ζ−2ζ4−3ζ−ζ42ζ+3ζ4−ζ5−ζ8−ζ2−2ζ2+ζ5−ζ2−3ζ53ζ2+2ζ5−ζ5−ζ8−ζ2000000000000000000333−3+3i32−3−3i32−3+3i32−3−3i32−3+3i32−3−3i32-1-1-11−i321+i321−i321+i321−i321+i32002−1+i3−1−i32−1+i3−1−i3ζ+2ζ4ζ−ζ4−2ζ−ζ42ζ2+ζ5−ζ2+ζ5−ζ2−2ζ5−ζ−ζ7−ζ4−ζ−ζ7−ζ4ζ−2ζ4−3ζ−ζ42ζ+3ζ4−ζ5−ζ8−ζ2−2ζ2+ζ5−ζ2−3ζ53ζ2+2ζ5−ζ5−ζ8−ζ2000000000000000000
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χ1349−9−9i32−9+9i3299−9−9i32−9+9i32−9+9i32−9−9i32-33+3i323−3i32-3-33+3i323−3i323−3i323+3i3200000000000000000000000000000000000000000000000000-99+9i329−9i32-9-99+9i329−9i329−9i329+9i323−3−3i32−3+3i3233−3−3i32−3+3i32−3+3i32−3−3i3200000000000000000000000000000000000000000000000000
χ1359−9−9i32−9+9i32−9+9i32−9−9i3299−9−9i32−9+9i32-33+3i323−3i323−3i323+3i32-3-33+3i323−3i3200000000000000000000000000000000000000000000000000-99+9i329−9i329−9i329+9i32-9-99+9i329−9i323−3−3i32−3+3i32−3+3i32−3−3i3233−3−3i32−3+3i3200000000000000000000000000000000000000000000000000
χ1369−9−9i32−9+9i32−9−9i32−9+9i32−9+9i32−9−9i3299-33+3i323−3i323+3i323−3i323−3i323+3i32-3-300000000000000000000000000000000000000000000000000-99+9i329−9i329+9i329−9i329−9i329+9i32-9-93−3−3i32−3+3i32−3−3i32−3+3i32−3+3i32−3−3i323300000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 9 (ζ9 = 1); i = ζ2.