Finite Group Databasebeta

← Group #211421

Character table — Group #211421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222244444888888881616111122224444488888888161611112222444448888888816161111222244444888888881616
order12224444488882488888844444444444888844888888442222444448888248888884444444444488884488888844
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1111111111111111-1-1-1-111-1-1
χ31111111111111-1-11111-1-1-1-11111111111111-1-11111-1-1-1-11111111111111-1-11111-1-1-1-11111111111111-1-11111-1-1-1-1
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
χ5111111111-1-1-1-11111-1-1-1-11-1111111111-1-1-1-11111-1-1-1-11-1111111111-1-1-1-11111-1-1-1-11-1111111111-1-1-1-11111-1-1-1-11-1
χ6111111111-1-1-1-111-1-111-1-1-11111111111-1-1-1-111-1-111-1-1-11111111111-1-1-1-111-1-111-1-1-11111111111-1-1-1-111-1-111-1-1-11
χ7111111111-1-1-1-1-1-111-1-111-11111111111-1-1-1-1-1-111-1-111-11111111111-1-1-1-1-1-111-1-111-11111111111-1-1-1-1-1-111-1-111-11
χ8111111111-1-1-1-1-1-1-1-111111-1111111111-1-1-1-1-1-1-1-111111-1111111111-1-1-1-1-1-1-1-111111-1111111111-1-1-1-1-1-1-1-111111-1
χ922222-2-22-222-2-2000000000022222-2-22-222-2-2000000000022222-2-22-222-2-2000000000022222-2-22-222-2-20000000000
χ1022222-2-22-2-2-222000000000022222-2-22-2-2-222000000000022222-2-22-2-2-222000000000022222-2-22-2-2-2220000000000
χ112222-222-2-200002-2000000002222-222-2-200002-2000000002222-222-2-200002-2000000002222-222-2-200002-200000000
χ122222-222-2-20000-22000000002222-222-2-20000-22000000002222-222-2-20000-22000000002222-222-2-20000-2200000000
χ132222-2-2-2-2200000000002i−2i002222-2-2-2-2200000000002i−2i002222-2-2-2-2200000000002i−2i002222-2-2-2-2200000000002i−2i00
χ142222-2-2-2-220000000000−2i2i002222-2-2-2-220000000000−2i2i002222-2-2-2-220000000000−2i2i002222-2-2-2-220000000000−2i2i00
χ152-2-22200-20002i−2i00i2−i22−200002-2-22200-20002i−2i00i2−i22−200002-2-22200-20002i−2i00i2−i22−200002-2-22200-20002i−2i00i2−i22−20000
χ162-2-22200-20002i−2i00−i2i2−2200002-2-22200-20002i−2i00−i2i2−2200002-2-22200-20002i−2i00−i2i2−2200002-2-22200-20002i−2i00−i2i2−220000
χ172-2-22200-2000−2i2i00i2−i2−2200002-2-22200-2000−2i2i00i2−i2−2200002-2-22200-2000−2i2i00i2−i2−2200002-2-22200-2000−2i2i00i2−i2−220000
χ182-2-22200-2000−2i2i00−i2i22−200002-2-22200-2000−2i2i00−i2i22−200002-2-22200-2000−2i2i00−i2i22−200002-2-22200-2000−2i2i00−i2i22−20000
χ1944-4-404-4000000000000000044-4-404-4000000000000000044-4-404-4000000000000000044-4-404-40000000000000000
χ2044-4-40-44000000000000000044-4-40-44000000000000000044-4-40-44000000000000000044-4-40-440000000000000000
χ214-44-4000002i2−2i20000000000004-44-4000002i2−2i20000000000004-44-4000002i2−2i20000000000004-44-4000002i2−2i2000000000000
χ224-44-400000−2i22i20000000000004-44-400000−2i22i20000000000004-44-400000−2i22i20000000000004-44-400000−2i22i2000000000000
χ234-4-44-40040000000000000004-4-44-40040000000000000004-4-44-40040000000000000004-4-44-4004000000000000000
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
χ25111111111111111-1-1-1-111-1-1iiiiiiiiiiiiiii−i−i−i−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii
χ261111111111111-1-11111-1-1-1-1iiiiiiiiiiiii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii
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
χ28111111111-1-1-1-11111-1-1-1-11-1iiiiiiiii−i−i−i−iiiii−i−i−i−ii−i-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ii
χ29111111111-1-1-1-111-1-111-1-1-11iiiiiiiii−i−i−i−iii−i−iii−i−i−ii-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1−i−i−i−i−i−i−i−i−iiiii−i−iii−i−iiii−i
χ30111111111-1-1-1-1-1-111-1-111-11iiiiiiiii−i−i−i−i−i−iii−i−iii−ii-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1−i−i−i−i−i−i−i−i−iiiiiii−i−iii−i−ii−i
χ31111111111-1-1-1-1-1-1-1-111111-1iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii
χ3222222-2-22-222-2-200000000002i2i2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000-2-2-2-2-222-22-2-2220000000000−2i−2i−2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000
χ3322222-2-22-2-2-22200000000002i2i2i2i2i−2i−2i2i−2i−2i−2i2i2i0000000000-2-2-2-2-222-2222-2-20000000000−2i−2i−2i−2i−2i2i2i−2i2i2i2i−2i−2i0000000000
χ342222-222-2-200002-2000000002i2i2i2i−2i2i2i−2i−2i00002i−2i00000000-2-2-2-22-2-2220000-2200000000−2i−2i−2i−2i2i−2i−2i2i2i0000−2i2i00000000
χ352222-222-2-20000-22000000002i2i2i2i−2i2i2i−2i−2i0000−2i2i00000000-2-2-2-22-2-22200002-200000000−2i−2i−2i−2i2i−2i−2i2i2i00002i−2i00000000
χ362222-2-2-2-2200000000002i−2i002i2i2i2i−2i−2i−2i−2i2i0000000000-2200-2-2-2-22222-20000000000−2i2i00−2i−2i−2i−2i2i2i2i2i−2i00000000002-200
χ372222-2-2-2-220000000000−2i2i002i2i2i2i−2i−2i−2i−2i2i00000000002-200-2-2-2-22222-200000000002i−2i00−2i−2i−2i−2i2i2i2i2i−2i0000000000-2200
χ382-2-22200-20002i−2i00i2−i22−200002i−2i−2i2i2i00−2i000-2200−22i2−i20000-222-2-2002000−2i2i00−i2i2−220000−2i2i2i−2i−2i002i0002-2002−2−i2i20000
χ392-2-22200-20002i−2i00−i2i2−2200002i−2i−2i2i2i00−2i000-22002−2−i2i20000-222-2-2002000−2i2i00i2−i22−20000−2i2i2i−2i−2i002i0002-200−22i2−i20000
χ402-2-22200-2000−2i2i00i2−i2−2200002i−2i−2i2i2i00−2i0002-200−22−i2i20000-222-2-20020002i−2i00−i2i22−20000−2i2i2i−2i−2i002i000-22002−2i2−i20000
χ412-2-22200-2000−2i2i00−i2i22−200002i−2i−2i2i2i00−2i0002-2002−2i2−i20000-222-2-20020002i−2i00i2−i2−220000−2i2i2i−2i−2i002i000-2200−22−i2i20000
χ4244-4-404-400000000000000004i4i−4i−4i04i−4i0000000000000000-4-4440-440000000000000000−4i−4i4i4i0−4i4i0000000000000000
χ4344-4-40-4400000000000000004i4i−4i−4i0−4i4i0000000000000000-4-44404-40000000000000000−4i−4i4i4i04i−4i0000000000000000
χ444-44-4000002i2−2i20000000000004i−4i4i−4i00000−2222000000000000-44-4400000−2i22i2000000000000−4i4i−4i4i0000022−22000000000000
χ454-44-400000−2i22i20000000000004i−4i4i−4i0000022−22000000000000-44-44000002i2−2i2000000000000−4i4i−4i4i00000−2222000000000000
χ464-4-44-40040000000000000004i−4i−4i4i−4i004i000000000000000-444-4400-4000000000000000−4i4i4i−4i4i00−4i000000000000000
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
χ48111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ491111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
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
χ51111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11
χ52111111111-1-1-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1111111111-1-1-1-111-1-111-1-1-11-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1
χ53111111111-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1111111111-1-1-1-1-1-111-1-111-11-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1
χ54111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11
χ5522222-2-22-222-2-20000000000-2-2-2-2-222-22-2-222000000000022222-2-22-222-2-20000000000-2-2-2-2-222-22-2-2220000000000
χ5622222-2-22-2-2-2220000000000-2-2-2-2-222-2222-2-2000000000022222-2-22-2-2-2220000000000-2-2-2-2-222-2222-2-20000000000
χ572222-222-2-200002-200000000-2-2-2-22-2-2220000-22000000002222-222-2-200002-200000000-2-2-2-22-2-2220000-2200000000
χ582222-222-2-20000-2200000000-2-2-2-22-2-22200002-2000000002222-222-2-20000-2200000000-2-2-2-22-2-22200002-200000000
χ592222-2-2-2-2200000000002i−2i00-2-2-2-22222-20000000000−2i2i002222-2-2-2-2200000000002i−2i00-2-2-2-22222-20000000000−2i2i00
χ602222-2-2-2-220000000000−2i2i00-2-2-2-22222-200000000002i−2i002222-2-2-2-220000000000−2i2i00-2-2-2-22222-200000000002i−2i00
χ612-2-22200-20002i−2i00i2−i22−20000-222-2-2002000−2i2i00−i2i2−2200002-2-22200-20002i−2i00i2−i22−20000-222-2-2002000−2i2i00−i2i2−220000
χ622-2-22200-20002i−2i00−i2i2−220000-222-2-2002000−2i2i00i2−i22−200002-2-22200-20002i−2i00−i2i2−220000-222-2-2002000−2i2i00i2−i22−20000
χ632-2-22200-2000−2i2i00i2−i2−220000-222-2-20020002i−2i00−i2i22−200002-2-22200-2000−2i2i00i2−i2−220000-222-2-20020002i−2i00−i2i22−20000
χ642-2-22200-2000−2i2i00−i2i22−20000-222-2-20020002i−2i00i2−i2−2200002-2-22200-2000−2i2i00−i2i22−20000-222-2-20020002i−2i00i2−i2−220000
χ6544-4-404-40000000000000000-4-4440-44000000000000000044-4-404-40000000000000000-4-4440-440000000000000000
χ6644-4-40-440000000000000000-4-44404-4000000000000000044-4-40-440000000000000000-4-44404-40000000000000000
χ674-44-4000002i2−2i2000000000000-44-4400000−2i22i20000000000004-44-4000002i2−2i2000000000000-44-4400000−2i22i2000000000000
χ684-44-400000−2i22i2000000000000-44-44000002i2−2i20000000000004-44-400000−2i22i2000000000000-44-44000002i2−2i2000000000000
χ694-4-44-4004000000000000000-444-4400-40000000000000004-4-44-4004000000000000000-444-4400-4000000000000000
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
χ71111111111111111-1-1-1-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111iiiiiiiiiiiiiii−i−i−i−iii−i−i
χ721111111111111-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111iiiiiiiiiiiii−i−iiiii−i−i−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
χ74111111111-1-1-1-11111-1-1-1-11-1−i−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ii-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11iiiiiiiii−i−i−i−iiiii−i−i−i−ii−i
χ75111111111-1-1-1-111-1-111-1-1-11−i−i−i−i−i−i−i−i−iiiii−i−iii−i−iiii−i-1-1-1-1-1-1-1-1-11111-1-111-1-1111-1iiiiiiiii−i−i−i−iii−i−iii−i−i−ii
χ76111111111-1-1-1-1-1-111-1-111-11−i−i−i−i−i−i−i−i−iiiiiii−i−iii−i−ii−i-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1iiiiiiiii−i−i−i−i−i−iii−i−iii−ii
χ77111111111-1-1-1-1-1-1-1-111111-1−i−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−ii-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11iiiiiiiii−i−i−i−i−i−i−i−iiiiii−i
χ7822222-2-22-222-2-20000000000−2i−2i−2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000-2-2-2-2-222-22-2-22200000000002i2i2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000
χ7922222-2-22-2-2-2220000000000−2i−2i−2i−2i−2i2i2i−2i2i2i2i−2i−2i0000000000-2-2-2-2-222-2222-2-200000000002i2i2i2i2i−2i−2i2i−2i−2i−2i2i2i0000000000
χ802222-222-2-200002-200000000−2i−2i−2i−2i2i−2i−2i2i2i0000−2i2i00000000-2-2-2-22-2-2220000-22000000002i2i2i2i−2i2i2i−2i−2i00002i−2i00000000
χ812222-222-2-20000-2200000000−2i−2i−2i−2i2i−2i−2i2i2i00002i−2i00000000-2-2-2-22-2-22200002-2000000002i2i2i2i−2i2i2i−2i−2i0000−2i2i00000000
χ822222-2-2-2-2200000000002i−2i00−2i−2i−2i−2i2i2i2i2i−2i00000000002-200-2-2-2-22222-20000000000−2i2i002i2i2i2i−2i−2i−2i−2i2i0000000000-2200
χ832222-2-2-2-220000000000−2i2i00−2i−2i−2i−2i2i2i2i2i−2i0000000000-2200-2-2-2-22222-200000000002i−2i002i2i2i2i−2i−2i−2i−2i2i00000000002-200
χ842-2-22200-20002i−2i00i2−i22−20000−2i2i2i−2i−2i002i0002-2002−2−i2i20000-222-2-2002000−2i2i00−i2i2−2200002i−2i−2i2i2i00−2i000-2200−22i2−i20000
χ852-2-22200-20002i−2i00−i2i2−220000−2i2i2i−2i−2i002i0002-200−22i2−i20000-222-2-2002000−2i2i00i2−i22−200002i−2i−2i2i2i00−2i000-22002−2−i2i20000
χ862-2-22200-2000−2i2i00i2−i2−220000−2i2i2i−2i−2i002i000-22002−2i2−i20000-222-2-20020002i−2i00−i2i22−200002i−2i−2i2i2i00−2i0002-200−22−i2i20000
χ872-2-22200-2000−2i2i00−i2i22−20000−2i2i2i−2i−2i002i000-2200−22−i2i20000-222-2-20020002i−2i00i2−i2−2200002i−2i−2i2i2i00−2i0002-2002−2i2−i20000
χ8844-4-404-40000000000000000−4i−4i4i4i0−4i4i0000000000000000-4-4440-4400000000000000004i4i−4i−4i04i−4i0000000000000000
χ8944-4-40-440000000000000000−4i−4i4i4i04i−4i0000000000000000-4-44404-400000000000000004i4i−4i−4i0−4i4i0000000000000000
χ904-44-4000002i2−2i2000000000000−4i4i−4i4i0000022−22000000000000-44-4400000−2i22i20000000000004i−4i4i−4i00000−2222000000000000
χ914-44-400000−2i22i2000000000000−4i4i−4i4i00000−2222000000000000-44-44000002i2−2i20000000000004i−4i4i−4i0000022−22000000000000
χ924-4-44-4004000000000000000−4i4i4i−4i4i00−4i000000000000000-444-4400-40000000000000004i−4i−4i4i−4i004i000000000000000

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