Finite Group Databasebeta

← Group #13381474

Character table — Group #13381474

Order 1792.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size1111111122224444444444448888888822222222444488888888888816161616161616162222222244448888888888881616161616161616222222224444888888888888161616161616161677777777141414142828282828282828282828285656565656565656
order1222222244444444888888884444444471414141414141428282828282828285656565656565656282828282828282871414141414141428282828282828285656565656565656282828282828282871414141414141428282828282828285656565656565656282828282828282822222222444444448888888844444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-20000000000000000
χ1022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-2220000000000000000
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χ12222-22-2-2-200002-200−2−222−2−22200000000222-22-2-2-200002-200−2−222−2−22200000000222-22-2-2-200002-200−2−222−2−22200000000222-22-2-2-200002-200−2−222−2−22200000000222-22-2-2-200002-200−2−222−2−22200000000
χ13222-22-2-2-20000-220022−2−2−2−22200000000222-22-2-2-20000-220022−2−2−2−22200000000222-22-2-2-20000-220022−2−2−2−22200000000222-22-2-2-20000-220022−2−2−2−22200000000222-22-2-2-20000-220022−2−2−2−22200000000
χ14222-22-2-2-20000-2200−2−22222−2−200000000222-22-2-2-20000-2200−2−22222−2−200000000222-22-2-2-20000-2200−2−22222−2−200000000222-22-2-2-20000-2200−2−22222−2−200000000222-22-2-2-20000-2200−2−22222−2−200000000
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χ1822-22-2-2-22-22-220000−2i2i−2i2i00000000000022-22-2-2-22-22-220000−2i2i−2i2i00000000000022-22-2-2-22-22-220000−2i2i−2i2i00000000000022-22-2-2-22-22-220000−2i2i−2i2i00000000000022-22-2-2-22-22-220000−2i2i−2i2i000000000000
χ1922-2-2-222-20000002-2i2−i2−i2i2i2−i2−i2i20000000022-2-2-222-20000002-2i2−i2−i2i2i2−i2−i2i20000000022-2-2-222-20000002-2i2−i2−i2i2i2−i2−i2i20000000022-2-2-222-20000002-2i2−i2−i2i2i2−i2−i2i20000000022-2-2-222-20000002-2i2−i2−i2i2i2−i2−i2i200000000
χ2022-2-2-222-20000002-2−i2i2i2−i2−i2i2i2−i20000000022-2-2-222-20000002-2−i2i2i2−i2−i2i2i2−i20000000022-2-2-222-20000002-2−i2i2i2−i2−i2i2i2−i20000000022-2-2-222-20000002-2−i2i2i2−i2−i2i2i2−i20000000022-2-2-222-20000002-2−i2i2i2−i2−i2i2i2−i200000000
χ2122-2-2-222-2000000-22i2−i2−i2i2−i2i2i2−i20000000022-2-2-222-2000000-22i2−i2−i2i2−i2i2i2−i20000000022-2-2-222-2000000-22i2−i2−i2i2−i2i2i2−i20000000022-2-2-222-2000000-22i2−i2−i2i2−i2i2i2−i20000000022-2-2-222-2000000-22i2−i2−i2i2−i2i2i2−i200000000
χ2222-2-2-222-2000000-22−i2i2i2−i2i2−i2−i2i20000000022-2-2-222-2000000-22−i2i2i2−i2i2−i2−i2i20000000022-2-2-222-2000000-22−i2i2i2−i2i2−i2−i2i20000000022-2-2-222-2000000-22−i2i2i2−i2i2−i2−i2i20000000022-2-2-222-2000000-22−i2i2i2−i2i2−i2−i2i200000000
χ232-22-2-22-2222-2-2000000000000002i−2i00002-22-2-22-2222-2-2000000000000002i−2i00002-22-2-22-2222-2-2000000000000002i−2i00002-22-2-22-2222-2-2000000000000002i−2i00002-22-2-22-2222-2-2000000000000002i−2i0000
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χ252-22-2-22-22-2-2220000000000002-20000002-22-2-22-22-2-2220000000000002-20000002-22-2-22-22-2-2220000000000002-20000002-22-2-22-22-2-2220000000000002-20000002-22-2-22-22-2-2220000000000002-2000000
χ262-22-2-22-22-2-222000000000000-220000002-22-2-22-22-2-222000000000000-220000002-22-2-22-22-2-222000000000000-220000002-22-2-22-22-2-222000000000000-220000002-22-2-22-22-2-222000000000000-22000000
χ272-2-2-22-2222-2-2200000000000000002-2002-2-2-22-2222-2-2200000000000000002-2002-2-2-22-2222-2-2200000000000000002-2002-2-2-22-2222-2-2200000000000000002-2002-2-2-22-2222-2-2200000000000000002-200
χ282-2-2-22-2222-2-220000000000000000-22002-2-2-22-2222-2-220000000000000000-22002-2-2-22-2222-2-220000000000000000-22002-2-2-22-2222-2-220000000000000000-22002-2-2-22-2222-2-220000000000000000-2200
χ292-2-2-22-222-222-20000000000000000002-22-2-2-22-222-222-20000000000000000002-22-2-2-22-222-222-20000000000000000002-22-2-2-22-222-222-20000000000000000002-22-2-2-22-222-222-20000000000000000002-2
χ302-2-2-22-222-222-2000000000000000000-222-2-2-22-222-222-2000000000000000000-222-2-2-22-222-222-2000000000000000000-222-2-2-22-222-222-2000000000000000000-222-2-2-22-222-222-2000000000000000000-22
χ314-444-4-44-40000000000000000000000004-444-4-44-40000000000000000000000004-444-4-44-40000000000000000000000004-444-4-44-40000000000000000000000004-444-4-44-4000000000000000000000000
χ324-4-4444-4-40000000000000000000000004-4-4444-4-40000000000000000000000004-4-4444-4-40000000000000000000000004-4-4444-4-40000000000000000000000004-4-4444-4-4000000000000000000000000
χ3311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ351111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ361111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ37111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ38111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ39111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ40111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ4122222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-20000000000000000-2-2-2-2-2-2-2-22222-2-2220000000000000000
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Here ζ is a primitive root of unity of order 56 (ζ56 = 1); i = ζ14.