Finite Group Databasebeta

← Group #6434821

Character table — Group #6434821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222444444444488888888888888881616161611111111222222224444444444888888888888888816161616
order12222222444444444444444444444444448888888824442222222244444444444444444444444444888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1
χ91111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1-111111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1-11
χ101111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-111-11111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-111-1
χ111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-111-11111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-111-1
χ121111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111-1-111111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111-1-11
χ131111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ141111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111
χ151111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-111
χ161111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1
χ1722222222-2-22222-2-2-2-222-2-2-2-2220000000000000000000022222222-2-22222-2-2-2-222-2-2-2-22200000000000000000000
χ1822222222-2-22222-2-2-2-2-2-22222-2-20000000000000000000022222222-2-22222-2-2-2-2-2-22222-2-200000000000000000000
χ1922222222-2-2-2-2-2-2-2-2222222-2-2-2-20000000000000000000022222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000
χ2022222222-2-2-2-2-2-2-2-222-2-2-2-222220000000000000000000022222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000
χ2122-22-2-22-20022-2-200002i−2i00002i−2i000000002−22−2i2−i2i2−i2000022-22-2-22-20022-2-200002i−2i00002i−2i000000002−22−2i2−i2i2−i20000
χ2222-22-2-22-20022-2-200002i−2i00002i−2i00000000−22−22−i2i2−i2i2000022-22-2-22-20022-2-200002i−2i00002i−2i00000000−22−22−i2i2−i2i20000
χ2322-22-2-22-20022-2-20000−2i2i0000−2i2i000000002−22−2−i2i2−i2i2000022-22-2-22-20022-2-20000−2i2i0000−2i2i000000002−22−2−i2i2−i2i20000
χ2422-22-2-22-20022-2-20000−2i2i0000−2i2i00000000−22−22i2−i2i2−i2000022-22-2-22-20022-2-20000−2i2i0000−2i2i00000000−22−22i2−i2i2−i20000
χ2522-22-2-22-200-2-22200002i−2i0000−2i2i000000002−2−22i2−i2−i2i2000022-22-2-22-200-2-22200002i−2i0000−2i2i000000002−2−22i2−i2−i2i20000
χ2622-22-2-22-200-2-22200002i−2i0000−2i2i00000000−222−2−i2i2i2−i2000022-22-2-22-200-2-22200002i−2i0000−2i2i00000000−222−2−i2i2i2−i20000
χ2722-22-2-22-200-2-2220000−2i2i00002i−2i000000002−2−22−i2i2i2−i2000022-22-2-22-200-2-2220000−2i2i00002i−2i000000002−2−22−i2i2i2−i20000
χ2822-22-2-22-200-2-2220000−2i2i00002i−2i00000000−222−2i2−i2−i2i2000022-22-2-22-200-2-2220000−2i2i00002i−2i00000000−222−2i2−i2−i2i20000
χ292-222-2-2-222-22i−2i2i−2i2-22i−2i00000000002i−2i002-20000000000002-222-2-2-222-22i−2i2i−2i2-22i−2i00000000002i−2i002-2000000000000
χ302-222-2-2-222-22i−2i2i−2i2-22i−2i0000000000−2i2i00-220000000000002-222-2-2-222-22i−2i2i−2i2-22i−2i0000000000−2i2i00-22000000000000
χ312-222-2-2-222-2−2i2i−2i2i2-2−2i2i00000000002i−2i00-220000000000002-222-2-2-222-2−2i2i−2i2i2-2−2i2i00000000002i−2i00-22000000000000
χ322-222-2-2-222-2−2i2i−2i2i2-2−2i2i0000000000−2i2i002-20000000000002-222-2-2-222-2−2i2i−2i2i2-2−2i2i0000000000−2i2i002-2000000000000
χ332-222-2-2-22-222i−2i2i−2i-22−2i2i000000002-2002i−2i000000000000002-222-2-2-22-222i−2i2i−2i-22−2i2i000000002-2002i−2i00000000000000
χ342-222-2-2-22-222i−2i2i−2i-22−2i2i00000000-2200−2i2i000000000000002-222-2-2-22-222i−2i2i−2i-22−2i2i00000000-2200−2i2i00000000000000
χ352-222-2-2-22-22−2i2i−2i2i-222i−2i000000002-200−2i2i000000000000002-222-2-2-22-22−2i2i−2i2i-222i−2i000000002-200−2i2i00000000000000
χ362-222-2-2-22-22−2i2i−2i2i-222i−2i00000000-22002i−2i000000000000002-222-2-2-22-22−2i2i−2i2i-222i−2i00000000-22002i−2i00000000000000
χ37444-44-4-4-44-40000-44000000000000000000000000000000444-44-4-4-44-40000-44000000000000000000000000000000
χ38444-44-4-4-4-4400004-4000000000000000000000000000000444-44-4-4-4-4400004-4000000000000000000000000000000
χ3944-4-4-44-440000000000004i−4i00000000000000000000000044-4-4-44-440000000000004i−4i000000000000000000000000
χ4044-4-4-44-44000000000000−4i4i00000000000000000000000044-4-4-44-44000000000000−4i4i000000000000000000000000
χ414-44-4-444-4440000-4-40000000000000000000000000000004-44-4-444-4440000-4-4000000000000000000000000000000
χ424-44-4-444-4-4-40000440000000000000000000000000000004-44-4-444-4-4-4000044000000000000000000000000000000
χ434-4-4444-4-4004i−4i−4i4i000000000000000000000000000000004-4-4444-4-4004i−4i−4i4i00000000000000000000000000000000
χ444-4-4444-4-400−4i4i4i−4i000000000000000000000000000000004-4-4444-4-400−4i4i4i−4i00000000000000000000000000000000
χ454-4-4-44-444000000000000004-400000000000000000000004-4-4-44-444000000000000004-40000000000000000000000
χ464-4-4-44-44400000000000000-4400000000000000000000004-4-4-44-44400000000000000-440000000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ481111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ4911111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ51111111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11111-11-11
χ52111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111111-1-1-1-11-11-1
χ53111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-111111-11-1
χ54111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-11-11
χ551111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-11111-1-111-1-111-111-1
χ561111111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1-1-1111111-1-111-1-11-1-11
χ571111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11
χ581111111111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-1-111-1-1111-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111111-1-1-1-111-1-111-1-1-111-1
χ591111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ601111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-111-1-1-1-11111-1-1
χ611111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-111-1-11111-1-111-1-1
χ621111111111-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-111
χ6322222222-2-22222-2-2-2-222-2-2-2-22200000000000000000000-2-2-2-2-2-2-2-222-2-2-2-22222-2-22222-2-200000000000000000000
χ6422222222-2-22222-2-2-2-2-2-22222-2-200000000000000000000-2-2-2-2-2-2-2-222-2-2-2-2222222-2-2-2-22200000000000000000000
χ6522222222-2-2-2-2-2-2-2-2222222-2-2-2-200000000000000000000-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2222200000000000000000000
χ6622222222-2-2-2-2-2-2-2-222-2-2-2-2222200000000000000000000-2-2-2-2-2-2-2-222222222-2-22222-2-2-2-200000000000000000000
χ6722-22-2-22-20022-2-200002i−2i00002i−2i000000002−22−2i2−i2i2−i20000-2-22-222-2200-2-2220000−2i2i0000−2i2i00000000−22−22−i2i2−i2i20000
χ6822-22-2-22-20022-2-200002i−2i00002i−2i00000000−22−22−i2i2−i2i20000-2-22-222-2200-2-2220000−2i2i0000−2i2i000000002−22−2i2−i2i2−i20000
χ6922-22-2-22-20022-2-20000−2i2i0000−2i2i000000002−22−2−i2i2−i2i20000-2-22-222-2200-2-22200002i−2i00002i−2i00000000−22−22i2−i2i2−i20000
χ7022-22-2-22-20022-2-20000−2i2i0000−2i2i00000000−22−22i2−i2i2−i20000-2-22-222-2200-2-22200002i−2i00002i−2i000000002−22−2−i2i2−i2i20000
χ7122-22-2-22-200-2-22200002i−2i0000−2i2i000000002−2−22i2−i2−i2i20000-2-22-222-220022-2-20000−2i2i00002i−2i00000000−222−2−i2i2i2−i20000
χ7222-22-2-22-200-2-22200002i−2i0000−2i2i00000000−222−2−i2i2i2−i20000-2-22-222-220022-2-20000−2i2i00002i−2i000000002−2−22i2−i2−i2i20000
χ7322-22-2-22-200-2-2220000−2i2i00002i−2i000000002−2−22−i2i2i2−i20000-2-22-222-220022-2-200002i−2i0000−2i2i00000000−222−2i2−i2−i2i20000
χ7422-22-2-22-200-2-2220000−2i2i00002i−2i00000000−222−2i2−i2−i2i20000-2-22-222-220022-2-200002i−2i0000−2i2i000000002−2−22−i2i2i2−i20000
χ752-222-2-2-222-22i−2i2i−2i2-22i−2i00000000002i−2i002-2000000000000-22-2-2222-2-22−2i2i−2i2i-22−2i2i0000000000−2i2i00-22000000000000
χ762-222-2-2-222-22i−2i2i−2i2-22i−2i0000000000−2i2i00-22000000000000-22-2-2222-2-22−2i2i−2i2i-22−2i2i00000000002i−2i002-2000000000000
χ772-222-2-2-222-2−2i2i−2i2i2-2−2i2i00000000002i−2i00-22000000000000-22-2-2222-2-222i−2i2i−2i-222i−2i0000000000−2i2i002-2000000000000
χ782-222-2-2-222-2−2i2i−2i2i2-2−2i2i0000000000−2i2i002-2000000000000-22-2-2222-2-222i−2i2i−2i-222i−2i00000000002i−2i00-22000000000000
χ792-222-2-2-22-222i−2i2i−2i-22−2i2i000000002-2002i−2i00000000000000-22-2-2222-22-2−2i2i−2i2i2-22i−2i00000000-2200−2i2i00000000000000
χ802-222-2-2-22-222i−2i2i−2i-22−2i2i00000000-2200−2i2i00000000000000-22-2-2222-22-2−2i2i−2i2i2-22i−2i000000002-2002i−2i00000000000000
χ812-222-2-2-22-22−2i2i−2i2i-222i−2i000000002-200−2i2i00000000000000-22-2-2222-22-22i−2i2i−2i2-2−2i2i00000000-22002i−2i00000000000000
χ822-222-2-2-22-22−2i2i−2i2i-222i−2i00000000-22002i−2i00000000000000-22-2-2222-22-22i−2i2i−2i2-2−2i2i000000002-200−2i2i00000000000000
χ83444-44-4-4-44-40000-44000000000000000000000000000000-4-4-44-4444-4400004-4000000000000000000000000000000
χ84444-44-4-4-4-4400004-4000000000000000000000000000000-4-4-44-44444-40000-44000000000000000000000000000000
χ8544-4-4-44-440000000000004i−4i000000000000000000000000-4-4444-44-4000000000000−4i4i000000000000000000000000
χ8644-4-4-44-44000000000000−4i4i000000000000000000000000-4-4444-44-40000000000004i−4i000000000000000000000000
χ874-44-4-444-4440000-4-4000000000000000000000000000000-44-444-4-44-4-4000044000000000000000000000000000000
χ884-44-4-444-4-4-4000044000000000000000000000000000000-44-444-4-44440000-4-4000000000000000000000000000000
χ894-4-4444-4-4004i−4i−4i4i00000000000000000000000000000000-444-4-4-44400−4i4i4i−4i00000000000000000000000000000000
χ904-4-4444-4-400−4i4i4i−4i00000000000000000000000000000000-444-4-4-444004i−4i−4i4i00000000000000000000000000000000
χ914-4-4-44-444000000000000004-40000000000000000000000-4444-44-4-400000000000000-440000000000000000000000
χ924-4-4-44-44400000000000000-440000000000000000000000-4444-44-4-4000000000000004-40000000000000000000000

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