Finite Group Databasebeta

← Group #6449439

Character table — Group #6449439

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222244444444444444444488888888888888881616111111112222222244444444444444444488888888888888881616
order12222222444444444444444444888888882444444444448888442222222244444444444444444488888888244444444444888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-11111111111111111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111
χ7111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ911111111-1-1-1-11111-1-1111111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111-1111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111-11
χ1011111111-1-1-1-11111-1-1111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-11-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-11-1
χ1111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1111-1-1-1-111-1-111-1-11-111111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1111-1-1-1-111-1-111-1-11-1
χ1211111111-1-1-1-11111-1-11111-1-111-1-1-1-11111-111111-1-1-1-1-1-1-1-111-1111111111-1-1-1-11111-1-11111-1-111-1-1-1-11111-111111-1-1-1-1-1-1-1-111-11
χ1311111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-111-1-1111-1
χ1411111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-11
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11111-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11111-1-1-11
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1111111-1-1111-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1111111-1-1111-1
χ17222222222222-2-2-2-2-2-20000222200000000-2-20000000000000000222222222222-2-2-2-2-2-20000222200000000-2-20000000000000000
χ18222222222222-2-2-2-2-2-20000-2-2-2-200000000220000000000000000222222222222-2-2-2-2-2-20000-2-2-2-200000000220000000000000000
χ1922222222-2-2-2-2-2-2-2-222000022-2-200000000-22000000000000000022222222-2-2-2-2-2-2-2-222000022-2-200000000-220000000000000000
χ2022222222-2-2-2-2-2-2-2-2220000-2-222000000002-2000000000000000022222222-2-2-2-2-2-2-2-2220000-2-222000000002-20000000000000000
χ2122-22-22-2-20000-22-22002i2i−2i−2i000022-2-20000000000002i−2i0000000022-22-22-2-20000-22-22002i2i−2i−2i000022-2-20000000000002i−2i00000000
χ2222-22-22-2-20000-22-22002i2i−2i−2i0000-2-222000000000000−2i2i0000000022-22-22-2-20000-22-22002i2i−2i−2i0000-2-222000000000000−2i2i00000000
χ2322-22-22-2-20000-22-2200−2i−2i2i2i000022-2-2000000000000−2i2i0000000022-22-22-2-20000-22-2200−2i−2i2i2i000022-2-2000000000000−2i2i00000000
χ2422-22-22-2-20000-22-2200−2i−2i2i2i0000-2-2220000000000002i−2i0000000022-22-22-2-20000-22-2200−2i−2i2i2i0000-2-2220000000000002i−2i00000000
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χ262-22-2-222-22i2i−2i−2i2-2-222i−2i000000000000000000−2i2i00-2200000000002-22-2-222-22i2i−2i−2i2-2-222i−2i000000000000000000−2i2i00-220000000000
χ272-22-2-222-22i2i−2i−2i-222-2−2i2i2-22-200000000000000000000002i−2i0000002-22-2-222-22i2i−2i−2i-222-2−2i2i2-22-200000000000000000000002i−2i000000
χ282-22-2-222-22i2i−2i−2i-222-2−2i2i-22-220000000000000000000000−2i2i0000002-22-2-222-22i2i−2i−2i-222-2−2i2i-22-220000000000000000000000−2i2i000000
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χ302-22-2-222-2−2i−2i2i2i2-2-22−2i2i000000000000000000−2i2i002-200000000002-22-2-222-2−2i−2i2i2i2-2-22−2i2i000000000000000000−2i2i002-20000000000
χ312-22-2-222-2−2i−2i2i2i-222-22i−2i2-22-20000000000000000000000−2i2i0000002-22-2-222-2−2i−2i2i2i-222-22i−2i2-22-20000000000000000000000−2i2i000000
χ322-22-2-222-2−2i−2i2i2i-222-22i−2i-22-2200000000000000000000002i−2i0000002-22-2-222-2−2i−2i2i2i-222-22i−2i-22-2200000000000000000000002i−2i000000
χ332-2-222-22-22-22-200000000002i−2i2i−2ii2−i2i2−i2i2i2−i2−i20000000000002−22−2002-2-222-22-22-22-200000000002i−2i2i−2ii2−i2i2−i2i2i2−i2−i20000000000002−22−200
χ342-2-222-22-22-22-200000000002i−2i2i−2i−i2i2−i2i2−i2−i2i2i2000000000000−22−22002-2-222-22-22-22-200000000002i−2i2i−2i−i2i2−i2i2−i2−i2i2i2000000000000−22−2200
χ352-2-222-22-22-22-20000000000−2i2i−2i2ii2−i2i2−i2i2i2−i2−i2000000000000−22−22002-2-222-22-22-22-20000000000−2i2i−2i2ii2−i2i2−i2i2i2−i2−i2000000000000−22−2200
χ362-2-222-22-22-22-20000000000−2i2i−2i2i−i2i2−i2i2−i2−i2i2i20000000000002−22−2002-2-222-22-22-22-20000000000−2i2i−2i2i−i2i2−i2i2−i2−i2i2i20000000000002−22−200
χ372-2-222-22-2-22-2200000000002i−2i−2i2ii2−i2i2−i2−i2−i2i2i2000000000000−222−2002-2-222-22-2-22-2200000000002i−2i−2i2ii2−i2i2−i2−i2−i2i2i2000000000000−222−200
χ382-2-222-22-2-22-2200000000002i−2i−2i2i−i2i2−i2i2i2i2−i2−i20000000000002−2−22002-2-222-22-2-22-2200000000002i−2i−2i2i−i2i2−i2i2i2i2−i2−i20000000000002−2−2200
χ392-2-222-22-2-22-220000000000−2i2i2i−2ii2−i2i2−i2−i2−i2i2i20000000000002−2−22002-2-222-22-2-22-220000000000−2i2i2i−2ii2−i2i2−i2−i2−i2i2i20000000000002−2−2200
χ402-2-222-22-2-22-220000000000−2i2i2i−2i−i2i2−i2i2i2i2−i2−i2000000000000−222−2002-2-222-22-2-22-220000000000−2i2i2i−2i−i2i2−i2i2i2i2−i2−i2000000000000−222−200
χ412-2-2-222-22000022-2-2002i−2i−2i2i000000002i−2i2i−2i00002-20000000000002-2-2-222-22000022-2-2002i−2i−2i2i000000002i−2i2i−2i00002-2000000000000
χ422-2-2-222-22000022-2-2002i−2i−2i2i00000000−2i2i−2i2i0000-220000000000002-2-2-222-22000022-2-2002i−2i−2i2i00000000−2i2i−2i2i0000-22000000000000
χ432-2-2-222-22000022-2-200−2i2i2i−2i000000002i−2i2i−2i0000-220000000000002-2-2-222-22000022-2-200−2i2i2i−2i000000002i−2i2i−2i0000-22000000000000
χ442-2-2-222-22000022-2-200−2i2i2i−2i00000000−2i2i−2i2i00002-20000000000002-2-2-222-22000022-2-200−2i2i2i−2i00000000−2i2i−2i2i00002-2000000000000
χ45444-44-4-4-4000000000000000000000022−22−2222000000000000000000444-44-4-4-4000000000000000000000022−22−2222000000000000000000
χ46444-44-4-4-40000000000000000000000−222222−22000000000000000000444-44-4-4-40000000000000000000000−222222−22000000000000000000
χ4744-44-44-4-400004-44-400000000000000000000000000000000000044-44-44-4-400004-44-4000000000000000000000000000000000000
χ4844-4-4-4-4444i−4i−4i4i000000000000000000000000000000000000000044-4-4-4-4444i−4i−4i4i0000000000000000000000000000000000000000
χ4944-4-4-4-444−4i4i4i−4i000000000000000000000000000000000000000044-4-4-4-444−4i4i4i−4i0000000000000000000000000000000000000000
χ504-444-4-4-440000000000000000002i2−2i2−2i22i200000000000000000000004-444-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ514-444-4-4-44000000000000000000−2i22i22i2−2i200000000000000000000004-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ524-4-4-444-440000-4-4440000000000000000000000000000000000004-4-4-444-440000-4-444000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5411111111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1111111
χ551111111111111111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111
χ561111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1
χ57111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ58111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1111111-1-1
χ59111111111111111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1
χ60111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ6111111111-1-1-1-11111-1-1111111-1-11111-1-1-1-11-1-1-1-1-11111-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-111111-1-1-1-11111-1-11-1
χ6211111111-1-1-1-11111-1-1111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1111-1-1-1-11111-1-111-11
χ6311111111-1-1-1-11111-1-11111-1-1111111-1-1-1-1-1111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-111-1-111-11
χ6411111111-1-1-1-11111-1-11111-1-111-1-1-1-11111-111111-1-1-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1-1-1-1-111111111-1-11-1
χ6511111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-11-1-1-1-11111-1-111-1-1-11
χ6611111111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-111111-111-1-1-1-1111111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-11-1-11111-1-1-1-1-1-1111-1
χ6711111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-11111-1-11111-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111-111-1-1-1-111-1-1-1-1111-1
χ6811111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1-1-1-1111111-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11-11111-1-1-1-1-1-111-1-1-11
χ69222222222222-2-2-2-2-2-20000222200000000-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222220000-2-2-2-200000000220000000000000000
χ70222222222222-2-2-2-2-2-20000-2-2-2-200000000220000000000000000-2-2-2-2-2-2-2-2-2-2-2-22222220000222200000000-2-20000000000000000
χ7122222222-2-2-2-2-2-2-2-222000022-2-200000000-220000000000000000-2-2-2-2-2-2-2-222222222-2-20000-2-222000000002-20000000000000000
χ7222222222-2-2-2-2-2-2-2-2220000-2-222000000002-20000000000000000-2-2-2-2-2-2-2-222222222-2-2000022-2-200000000-220000000000000000
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χ832-22-2-222-2−2i−2i2i2i-222-22i−2i2-22-20000000000000000000000−2i2i000000-22-222-2-222i2i−2i−2i2-2-22−2i2i-22-2200000000000000000000002i−2i000000
χ842-22-2-222-2−2i−2i2i2i-222-22i−2i-22-2200000000000000000000002i−2i000000-22-222-2-222i2i−2i−2i2-2-22−2i2i2-22-20000000000000000000000−2i2i000000
χ852-2-222-22-22-22-200000000002i−2i2i−2ii2−i2i2−i2i2i2−i2−i20000000000002−22−200-222-2-22-22-22-220000000000−2i2i−2i2i−i2i2−i2i2−i2−i2i2i2000000000000−22−2200
χ862-2-222-22-22-22-200000000002i−2i2i−2i−i2i2−i2i2−i2−i2i2i2000000000000−22−2200-222-2-22-22-22-220000000000−2i2i−2i2ii2−i2i2−i2i2i2−i2−i20000000000002−22−200
χ872-2-222-22-22-22-20000000000−2i2i−2i2ii2−i2i2−i2i2i2−i2−i2000000000000−22−2200-222-2-22-22-22-2200000000002i−2i2i−2i−i2i2−i2i2−i2−i2i2i20000000000002−22−200
χ882-2-222-22-22-22-20000000000−2i2i−2i2i−i2i2−i2i2−i2−i2i2i20000000000002−22−200-222-2-22-22-22-2200000000002i−2i2i−2ii2−i2i2−i2i2i2−i2−i2000000000000−22−2200
χ892-2-222-22-2-22-2200000000002i−2i−2i2ii2−i2i2−i2−i2−i2i2i2000000000000−222−200-222-2-22-222-22-20000000000−2i2i2i−2i−i2i2−i2i2i2i2−i2−i20000000000002−2−2200
χ902-2-222-22-2-22-2200000000002i−2i−2i2i−i2i2−i2i2i2i2−i2−i20000000000002−2−2200-222-2-22-222-22-20000000000−2i2i2i−2ii2−i2i2−i2−i2−i2i2i2000000000000−222−200
χ912-2-222-22-2-22-220000000000−2i2i2i−2ii2−i2i2−i2−i2−i2i2i20000000000002−2−2200-222-2-22-222-22-200000000002i−2i−2i2i−i2i2−i2i2i2i2−i2−i2000000000000−222−200
χ922-2-222-22-2-22-220000000000−2i2i2i−2i−i2i2−i2i2i2i2−i2−i2000000000000−222−200-222-2-22-222-22-200000000002i−2i−2i2ii2−i2i2−i2−i2−i2i2i20000000000002−2−2200
χ932-2-2-222-22000022-2-2002i−2i−2i2i000000002i−2i2i−2i00002-2000000000000-2222-2-22-20000-2-22200−2i2i2i−2i00000000−2i2i−2i2i0000-22000000000000
χ942-2-2-222-22000022-2-2002i−2i−2i2i00000000−2i2i−2i2i0000-22000000000000-2222-2-22-20000-2-22200−2i2i2i−2i000000002i−2i2i−2i00002-2000000000000
χ952-2-2-222-22000022-2-200−2i2i2i−2i000000002i−2i2i−2i0000-22000000000000-2222-2-22-20000-2-222002i−2i−2i2i00000000−2i2i−2i2i00002-2000000000000
χ962-2-2-222-22000022-2-200−2i2i2i−2i00000000−2i2i−2i2i00002-2000000000000-2222-2-22-20000-2-222002i−2i−2i2i000000002i−2i2i−2i0000-22000000000000
χ97444-44-4-4-4000000000000000000000022−22−2222000000000000000000-4-4-44-44440000000000000000000000−222222−22000000000000000000
χ98444-44-4-4-40000000000000000000000−222222−22000000000000000000-4-4-44-4444000000000000000000000022−22−2222000000000000000000
χ9944-44-44-4-400004-44-4000000000000000000000000000000000000-4-44-44-4440000-44-44000000000000000000000000000000000000
χ10044-4-4-4-4444i−4i−4i4i0000000000000000000000000000000000000000-4-44444-4-4−4i4i4i−4i0000000000000000000000000000000000000000
χ10144-4-4-4-444−4i4i4i−4i0000000000000000000000000000000000000000-4-44444-4-44i−4i−4i4i0000000000000000000000000000000000000000
χ1024-444-4-4-440000000000000000002i2−2i2−2i22i20000000000000000000000-44-4-4444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ1034-444-4-4-44000000000000000000−2i22i22i2−2i20000000000000000000000-44-4-4444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ1044-4-4-444-440000-4-444000000000000000000000000000000000000-4444-4-44-4000044-4-4000000000000000000000000000000000000

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