Finite Group Databasebeta

← Group #211404

Character table — Group #211404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222244444888888881616111122224444488888888161611112222444448888888816161111222244444888888881616
order12224444488882488888824444444444888844888888442222444448888248888882444444444488884488888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1
χ31111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-11111111111111-1-1-1-11111-1-1
χ41111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-111
χ5111111111-1-1-1-111-1-111-1-11-1111111111-1-1-1-111-1-111-1-11-1111111111-1-1-1-111-1-111-1-11-1111111111-1-1-1-111-1-111-1-11-1
χ6111111111-1-1-1-111-1-1-1-111-11111111111-1-1-1-111-1-1-1-111-11111111111-1-1-1-111-1-1-1-111-11111111111-1-1-1-111-1-1-1-111-11
χ7111111111-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-11111-1-1-11111111111-1-1-1-1-1-11111-1-1-11
χ8111111111-1-1-1-1-1-111-1-1111-1111111111-1-1-1-1-1-111-1-1111-1111111111-1-1-1-1-1-111-1-1111-1111111111-1-1-1-1-1-111-1-1111-1
χ922222-2-22-200002-20000000022222-2-22-200002-20000000022222-2-22-200002-20000000022222-2-22-200002-200000000
χ1022222-2-22-20000-220000000022222-2-22-20000-220000000022222-2-22-20000-220000000022222-2-22-20000-2200000000
χ112222-222-2-222-2-200000000002222-222-2-222-2-200000000002222-222-2-222-2-200000000002222-222-2-222-2-20000000000
χ122222-222-2-2-2-22200000000002222-222-2-2-2-22200000000002222-222-2-2-2-22200000000002222-222-2-2-2-2220000000000
χ132222-2-2-2-220000002i−2i0000002222-2-2-2-220000002i−2i0000002222-2-2-2-220000002i−2i0000002222-2-2-2-220000002i−2i000000
χ142222-2-2-2-22000000−2i2i0000002222-2-2-2-22000000−2i2i0000002222-2-2-2-22000000−2i2i0000002222-2-2-2-22000000−2i2i000000
χ152-2-220-2200002-200002−22−2002-2-220-2200002-200002−22−2002-2-220-2200002-200002−22−2002-2-220-2200002-200002−22−200
χ162-2-220-2200002-20000−22−22002-2-220-2200002-20000−22−22002-2-220-2200002-20000−22−22002-2-220-2200002-20000−22−2200
χ172-2-220-220000-2200002−2−22002-2-220-220000-2200002−2−22002-2-220-220000-2200002−2−22002-2-220-220000-2200002−2−2200
χ182-2-220-220000-220000−222−2002-2-220-220000-220000−222−2002-2-220-220000-220000−222−2002-2-220-220000-220000−222−200
χ1944-4-4000002i2−2i200000000000044-4-4000002i2−2i200000000000044-4-4000002i2−2i200000000000044-4-4000002i2−2i2000000000000
χ2044-4-400000−2i22i200000000000044-4-400000−2i22i200000000000044-4-400000−2i22i200000000000044-4-400000−2i22i2000000000000
χ214-44-4400-40000000000000004-44-4400-40000000000000004-44-4400-40000000000000004-44-4400-4000000000000000
χ224-44-4-40040000000000000004-44-4-40040000000000000004-44-4-40040000000000000004-44-4-4004000000000000000
χ234-4-4404-400000000000000004-4-4404-400000000000000004-4-4404-400000000000000004-4-4404-40000000000000000
χ2411111111111111111111111iiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2511111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ261111111111111-1-1-1-11111-1-1iiiiiiiiiiiii−i−i−i−iiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii
χ271111111111111-1-1-1-1-1-1-1-111iiiiiiiiiiiii−i−i−i−i−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i
χ28111111111-1-1-1-111-1-111-1-11-1iiiiiiiii−i−i−i−iii−i−iii−i−ii−i-1-1-1-1-1-1-1-1-11111-1-111-1-111-11−i−i−i−i−i−i−i−i−iiiii−i−iii−i−iii−ii
χ29111111111-1-1-1-111-1-1-1-111-11iiiiiiiii−i−i−i−iii−i−i−i−iii−ii-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i−ii−i
χ30111111111-1-1-1-1-1-11111-1-1-11iiiiiiiii−i−i−i−i−i−iiiii−i−i−ii-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiii−i
χ31111111111-1-1-1-1-1-111-1-1111-1iiiiiiiii−i−i−i−i−i−iii−i−iiii−i-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11−i−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i−ii
χ3222222-2-22-200002-2000000002i2i2i2i2i−2i−2i2i−2i00002i−2i00000000-2-2-2-2-222-220000-2200000000−2i−2i−2i−2i−2i2i2i−2i2i0000−2i2i00000000
χ3322222-2-22-20000-22000000002i2i2i2i2i−2i−2i2i−2i0000−2i2i00000000-2-2-2-2-222-2200002-200000000−2i−2i−2i−2i−2i2i2i−2i2i00002i−2i00000000
χ342222-222-2-222-2-200000000002i2i2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000-2-2-2-22-2-222-2-2220000000000−2i−2i−2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000
χ352222-222-2-2-2-22200000000002i2i2i2i−2i2i2i−2i−2i−2i−2i2i2i0000000000-2-2-2-22-2-22222-2-20000000000−2i−2i−2i−2i2i−2i−2i2i2i2i2i−2i−2i0000000000
χ362222-2-2-2-220000002i−2i0000002i2i2i2i−2i−2i−2i−2i2i000000-22000000-2-2-2-22222-2000000−2i2i000000−2i−2i−2i−2i2i2i2i2i−2i0000002-2000000
χ372222-2-2-2-22000000−2i2i0000002i2i2i2i−2i−2i−2i−2i2i0000002-2000000-2-2-2-22222-20000002i−2i000000−2i−2i−2i−2i2i2i2i2i−2i000000-22000000
χ382-2-220-2200002-200002−22−2002i−2i−2i2i0−2i2i00002i−2i0000i2−i2i2−i200-222-202-20000-220000−22−2200−2i2i2i−2i02i−2i0000−2i2i0000−i2i2−i2i200
χ392-2-220-2200002-20000−22−22002i−2i−2i2i0−2i2i00002i−2i0000−i2i2−i2i200-222-202-20000-2200002−22−200−2i2i2i−2i02i−2i0000−2i2i0000i2−i2i2−i200
χ402-2-220-220000-2200002−2−22002i−2i−2i2i0−2i2i0000−2i2i0000i2−i2−i2i200-222-202-200002-20000−222−200−2i2i2i−2i02i−2i00002i−2i0000−i2i2i2−i200
χ412-2-220-220000-220000−222−2002i−2i−2i2i0−2i2i0000−2i2i0000−i2i2i2−i200-222-202-200002-200002−2−2200−2i2i2i−2i02i−2i00002i−2i0000i2−i2−i2i200
χ4244-4-4000002i2−2i20000000000004i4i−4i−4i00000−2222000000000000-4-44400000−2i22i2000000000000−4i−4i4i4i0000022−22000000000000
χ4344-4-400000−2i22i20000000000004i4i−4i−4i0000022−22000000000000-4-444000002i2−2i2000000000000−4i−4i4i4i00000−2222000000000000
χ444-44-4400-40000000000000004i−4i4i−4i4i00−4i000000000000000-44-44-4004000000000000000−4i4i−4i4i−4i004i000000000000000
χ454-44-4-40040000000000000004i−4i4i−4i−4i004i000000000000000-44-44400-4000000000000000−4i4i−4i4i4i00−4i000000000000000
χ464-4-4404-400000000000000004i−4i−4i4i04i−4i0000000000000000-444-40-440000000000000000−4i4i4i−4i0−4i4i0000000000000000
χ4711111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4811111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ491111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ501111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ52111111111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1111111111-1-1-1-111-1-1-1-111-11-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1
χ53111111111-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1111111111-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1
χ54111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ5522222-2-22-200002-200000000-2-2-2-2-222-220000-220000000022222-2-22-200002-200000000-2-2-2-2-222-220000-2200000000
χ5622222-2-22-20000-2200000000-2-2-2-2-222-2200002-20000000022222-2-22-20000-2200000000-2-2-2-2-222-2200002-200000000
χ572222-222-2-222-2-20000000000-2-2-2-22-2-222-2-22200000000002222-222-2-222-2-20000000000-2-2-2-22-2-222-2-2220000000000
χ582222-222-2-2-2-2220000000000-2-2-2-22-2-22222-2-200000000002222-222-2-2-2-2220000000000-2-2-2-22-2-22222-2-20000000000
χ592222-2-2-2-220000002i−2i000000-2-2-2-22222-2000000−2i2i0000002222-2-2-2-220000002i−2i000000-2-2-2-22222-2000000−2i2i000000
χ602222-2-2-2-22000000−2i2i000000-2-2-2-22222-20000002i−2i0000002222-2-2-2-22000000−2i2i000000-2-2-2-22222-20000002i−2i000000
χ612-2-220-2200002-200002−22−200-222-202-20000-220000−22−22002-2-220-2200002-200002−22−200-222-202-20000-220000−22−2200
χ622-2-220-2200002-20000−22−2200-222-202-20000-2200002−22−2002-2-220-2200002-20000−22−2200-222-202-20000-2200002−22−200
χ632-2-220-220000-2200002−2−2200-222-202-200002-20000−222−2002-2-220-220000-2200002−2−2200-222-202-200002-20000−222−200
χ642-2-220-220000-220000−222−200-222-202-200002-200002−2−22002-2-220-220000-220000−222−200-222-202-200002-200002−2−2200
χ6544-4-4000002i2−2i2000000000000-4-44400000−2i22i200000000000044-4-4000002i2−2i2000000000000-4-44400000−2i22i2000000000000
χ6644-4-400000−2i22i2000000000000-4-444000002i2−2i200000000000044-4-400000−2i22i2000000000000-4-444000002i2−2i2000000000000
χ674-44-4400-4000000000000000-44-44-40040000000000000004-44-4400-4000000000000000-44-44-4004000000000000000
χ684-44-4-4004000000000000000-44-44400-40000000000000004-44-4-4004000000000000000-44-44400-4000000000000000
χ694-4-4404-40000000000000000-444-40-4400000000000000004-4-4404-40000000000000000-444-40-440000000000000000
χ7011111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiii
χ7111111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ721111111111111-1-1-1-11111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111iiiiiiiiiiiii−i−i−i−iiiii−i−i
χ731111111111111-1-1-1-1-1-1-1-111−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1iiiiiiiiiiiii−i−i−i−i−i−i−i−iii
χ74111111111-1-1-1-111-1-111-1-11-1−i−i−i−i−i−i−i−i−iiiii−i−iii−i−iii−ii-1-1-1-1-1-1-1-1-11111-1-111-1-111-11iiiiiiiii−i−i−i−iii−i−iii−i−ii−i
χ75111111111-1-1-1-111-1-1-1-111-11−i−i−i−i−i−i−i−i−iiiii−i−iiiii−i−ii−i-1-1-1-1-1-1-1-1-11111-1-11111-1-11-1iiiiiiiii−i−i−i−iii−i−i−i−iii−ii
χ76111111111-1-1-1-1-1-11111-1-1-11−i−i−i−i−i−i−i−i−iiiiiii−i−i−i−iiii−i-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1iiiiiiiii−i−i−i−i−i−iiiii−i−i−ii
χ77111111111-1-1-1-1-1-111-1-1111-1−i−i−i−i−i−i−i−i−iiiiiii−i−iii−i−i−ii-1-1-1-1-1-1-1-1-1111111-1-111-1-1-11iiiiiiiii−i−i−i−i−i−iii−i−iiii−i
χ7822222-2-22-200002-200000000−2i−2i−2i−2i−2i2i2i−2i2i0000−2i2i00000000-2-2-2-2-222-220000-22000000002i2i2i2i2i−2i−2i2i−2i00002i−2i00000000
χ7922222-2-22-20000-2200000000−2i−2i−2i−2i−2i2i2i−2i2i00002i−2i00000000-2-2-2-2-222-2200002-2000000002i2i2i2i2i−2i−2i2i−2i0000−2i2i00000000
χ802222-222-2-222-2-20000000000−2i−2i−2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000-2-2-2-22-2-222-2-22200000000002i2i2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000
χ812222-222-2-2-2-2220000000000−2i−2i−2i−2i2i−2i−2i2i2i2i2i−2i−2i0000000000-2-2-2-22-2-22222-2-200000000002i2i2i2i−2i2i2i−2i−2i−2i−2i2i2i0000000000
χ822222-2-2-2-220000002i−2i000000−2i−2i−2i−2i2i2i2i2i−2i0000002-2000000-2-2-2-22222-2000000−2i2i0000002i2i2i2i−2i−2i−2i−2i2i000000-22000000
χ832222-2-2-2-22000000−2i2i000000−2i−2i−2i−2i2i2i2i2i−2i000000-22000000-2-2-2-22222-20000002i−2i0000002i2i2i2i−2i−2i−2i−2i2i0000002-2000000
χ842-2-220-2200002-200002−22−200−2i2i2i−2i02i−2i0000−2i2i0000−i2i2−i2i200-222-202-20000-220000−22−22002i−2i−2i2i0−2i2i00002i−2i0000i2−i2i2−i200
χ852-2-220-2200002-20000−22−2200−2i2i2i−2i02i−2i0000−2i2i0000i2−i2i2−i200-222-202-20000-2200002−22−2002i−2i−2i2i0−2i2i00002i−2i0000−i2i2−i2i200
χ862-2-220-220000-2200002−2−2200−2i2i2i−2i02i−2i00002i−2i0000−i2i2i2−i200-222-202-200002-20000−222−2002i−2i−2i2i0−2i2i0000−2i2i0000i2−i2−i2i200
χ872-2-220-220000-220000−222−200−2i2i2i−2i02i−2i00002i−2i0000i2−i2−i2i200-222-202-200002-200002−2−22002i−2i−2i2i0−2i2i0000−2i2i0000−i2i2i2−i200
χ8844-4-4000002i2−2i2000000000000−4i−4i4i4i0000022−22000000000000-4-44400000−2i22i20000000000004i4i−4i−4i00000−2222000000000000
χ8944-4-400000−2i22i2000000000000−4i−4i4i4i00000−2222000000000000-4-444000002i2−2i20000000000004i4i−4i−4i0000022−22000000000000
χ904-44-4400-4000000000000000−4i4i−4i4i−4i004i000000000000000-44-44-40040000000000000004i−4i4i−4i4i00−4i000000000000000
χ914-44-4-4004000000000000000−4i4i−4i4i4i00−4i000000000000000-44-44400-40000000000000004i−4i4i−4i−4i004i000000000000000
χ924-4-4404-40000000000000000−4i4i4i−4i0−4i4i0000000000000000-444-40-4400000000000000004i−4i−4i4i04i−4i0000000000000000

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