Finite Group Databasebeta

← Group #14517729

Character table — Group #14517729

Order 1944.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size111111111666666666666181818181818181818272727272727272727111111111666666666666181818181818181818272727272727272727111111111666666666666181818181818181818272727272727272727111111111666666666666181818181818181818272727272727272727
order13333333333333333333333333333326666666641212121212121212121212121212121212121212121212121212121212412121212121212122666666666666666666666666666662666666664121212121212121212121212121212121212121212121212121212121241212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ3222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000222222222222222222222-1-1-1-1-1-1-1-1-1000000000
χ4222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000222222222222-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1000000000
χ5222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1000000000
χ6222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000000000
χ7222222222-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000000222222222-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000000222222222-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000000222222222-1-1-1222-1-1-1-1-1-12-1-12-1-12-1-1000000000
χ8222222222-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000000222222222-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000000222222222-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000000222222222-1-1-1222-1-1-1-1-1-1-12-1-12-1-12-1000000000
χ9222222222-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000000222222222-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000000222222222-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000000222222222-1-1-1222-1-1-1-1-1-1-1-12-1-12-1-12000000000
χ10222222222-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000000222222222-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000000222222222-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000000222222222-1-1-1-1-1-1222-1-1-12-1-1-12-1-1-12000000000
χ11222222222-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000000222222222-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000000222222222-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000000222222222-1-1-1-1-1-1222-1-1-1-12-1-1-122-1-1000000000
χ12222222222-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000000222222222-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000000222222222-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000000222222222-1-1-1-1-1-1222-1-1-1-1-122-1-1-12-1000000000
χ13222222222-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000000222222222-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000000222222222-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000000222222222-1-1-1-1-1-1-1-1-12222-1-1-1-12-12-1000000000
χ14222222222-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000000222222222-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000000222222222-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000000222222222-1-1-1-1-1-1-1-1-1222-12-12-1-1-1-12000000000
χ15222222222-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000000222222222-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000000222222222-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000000222222222-1-1-1-1-1-1-1-1-1222-1-12-12-12-1-1000000000
χ16333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32
χ17333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000-1-1-11−i321−i321−i321+i321+i321+i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000-1-1-11−i321−i321−i321+i321+i321+i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000-1-1-11−i321−i321−i321+i321+i321+i32333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i320000000003−3+3i32−3−3i32000000000-1-1-11−i321−i321−i321+i321+i321+i32
χ18333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32
χ19333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000-1-1-11+i321+i321+i321−i321−i321−i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000-1-1-11+i321+i321+i321−i321−i321−i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000-1-1-11+i321+i321+i321−i321−i321−i32333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i320000000003−3−3i32−3+3i32000000000-1-1-11+i321+i321+i321−i321−i321−i32
χ203−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i320000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i320000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i320000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i320000000000001−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32
χ213−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000-11−i321+i32-11−i321+i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000-11−i321+i32-11−i321+i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000-11−i321+i32-11−i321+i32-11−i321+i323−3+3i32−3−3i323−3+3i32−3−3i323−3+3i32−3−3i320000003−3+3i32−3−3i32000000000000-11−i321+i32-11−i321+i32-11−i321+i32
χ223−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i320000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i320000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i320000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i320000000000000001−1+i32−1−i32−1+i32−1−i321−1−i321−1+i32
χ233−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i32000000000000000-11−i321+i321−i321+i32-11+i32-11−i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i32000000000000000-11−i321+i321−i321+i32-11+i32-11−i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i32000000000000000-11−i321+i321−i321+i32-11+i32-11−i323−3+3i32−3−3i32−3+3i32−3−3i323−3−3i323−3+3i320003−3+3i32−3−3i32000000000000000-11−i321+i321−i321+i32-11+i32-11−i32
χ243−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i3213−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i320000000000000000001−1+i32−1−i32−1−i321−1+i32−1+i32−1−i321
χ253−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000-11−i321+i321+i32-11−i321−i321+i32-13−3+3i32−3−3i32−3−3i323−3+3i32−3+3i32−3−3i3233−3+3i32−3−3i32000000000000000000-11−i321+i321+i32-11−i321−i321+i32-1
χ263−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ273−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i323−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i32
χ283−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3213−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3213−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i3213−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i320000000000000000001−1−i32−1+i32−1+i321−1−i32−1−i32−1+i321
χ293−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32000000000000000000-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32000000000000000000-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32000000000000000000-11+i321−i321−i32-11+i321+i321−i32-13−3−3i32−3+3i32−3+3i323−3−3i32−3−3i32−3+3i3233−3−3i32−3+3i32000000000000000000-11+i321−i321−i32-11+i321+i321−i32-1
χ303−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i320000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i320000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i320000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i320000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32
χ313−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i32000000000000000-11+i321−i321+i321−i32-11−i32-11+i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i32000000000000000-11+i321−i321+i321−i32-11−i32-11+i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i32000000000000000-11+i321−i321+i321−i32-11−i32-11+i323−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i32000000000000000-11+i321−i321+i321−i32-11−i32-11+i32
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χ1433−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32−3i−3ζ11−3ζ7−3i−3ζ11−3ζ7−3i−3ζ11−3ζ7000000−3i−3ζ11−3ζ7000000000000−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000-33+3i323−3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i323i3ζ113ζ73i3ζ113ζ73i3ζ113ζ70000003i3ζ113ζ7000000000000iζ11ζ7iζ11ζ7iζ11ζ7
χ1443−3−3i32−3+3i323−3−3i32−3+3i323−3−3i32−3+3i320000003−3−3i32−3+3i32000000000000-11+i321−i32-11+i321−i32-11+i321−i32−3i−3ζ11−3ζ7−3i−3ζ11−3ζ7−3i−3ζ11−3ζ7000000−3i−3ζ11−3ζ7000000000000iζ11ζ7iζ11ζ7iζ11ζ7-33+3i323−3i32-33+3i323−3i32-33+3i323−3i32000000-33+3i323−3i320000000000001−1−i32−1+i321−1−i32−1+i321−1−i32−1+i323i3ζ113ζ73i3ζ113ζ73i3ζ113ζ70000003i3ζ113ζ7000000000000−i−ζ11−ζ7−i−ζ11−ζ7−i−ζ11−ζ7
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χ1473−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i320000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i32−3i−3ζ11−3ζ7−3ζ11−3ζ7−3i−3ζ7−3i−3ζ11000−3i−3ζ11−3ζ7000000000000000−i−ζ11−ζ7−ζ11−ζ7−i−ζ7−i−ζ11-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000-33+3i323−3i32000000000000000-11+i321−i321+i321−i32-11−i32-11+i323i3ζ113ζ73ζ113ζ73i3ζ73i3ζ110003i3ζ113ζ7000000000000000iζ11ζ7ζ11ζ7iζ7iζ11
χ1483−3−3i32−3+3i32−3−3i32−3+3i323−3+3i323−3−3i320003−3−3i32−3+3i32000000000000000-11+i321−i321+i321−i32-11−i32-11+i32−3i−3ζ11−3ζ7−3ζ11−3ζ7−3i−3ζ7−3i−3ζ11000−3i−3ζ11−3ζ7000000000000000iζ11ζ7ζ11ζ7iζ7iζ11-33+3i323−3i323+3i323−3i32-33−3i32-33+3i32000-33+3i323−3i320000000000000001−1−i32−1+i32−1−i32−1+i321−1+i321−1−i323i3ζ113ζ73ζ113ζ73i3ζ73i3ζ110003i3ζ113ζ7000000000000000−i−ζ11−ζ7−ζ11−ζ7−i−ζ7−i−ζ11
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χ1526−3+3i3−3−3i3−3+3i3−3−3i36−3−3i36−3+3i3000-33−3i323+3i32000000000000000000000000−6i−6ζ7−6ζ11−6ζ7−6ζ11−6i−6ζ11−6i−6ζ70003i3ζ73ζ11000000000000000000000000-63−3i33+3i33−3i33+3i3-63+3i3-63−3i30003−3+3i32−3−3i320000000000000000000000006i6ζ76ζ116ζ76ζ116i6ζ116i6ζ7000−3i−3ζ7−3ζ11000000000000000000000000
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χ1556−3−3i3−3+3i3−3+3i36−3−3i3−3−3i3−3+3i36-33+3i323−3i32000000000000000000000000000−6i−6ζ11−6ζ7−6ζ7−6i−6ζ11−6ζ11−6ζ7−6i3i3ζ113ζ7000000000000000000000000000-63+3i33−3i33−3i3-63+3i33+3i33−3i3-63−3−3i32−3+3i320000000000000000000000000006i6ζ116ζ76ζ76i6ζ116ζ116ζ76i−3i−3ζ11−3ζ7000000000000000000000000000
χ1566−3−3i3−3+3i3−3−3i3−3+3i36−3+3i36−3−3i3000-33+3i323−3i32000000000000000000000000−6i−6ζ11−6ζ7−6ζ11−6ζ7−6i−6ζ7−6i−6ζ110003i3ζ113ζ7000000000000000000000000-63+3i33−3i33+3i33−3i3-63−3i3-63+3i30003−3−3i32−3+3i320000000000000000000000006i6ζ116ζ76ζ116ζ76i6ζ76i6ζ11000−3i−3ζ11−3ζ7000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.