Finite Group Databasebeta

← Group #247367

Character table — Group #247367

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222444444442244444422224444488888888888888882222244444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1111111
χ5111111111111111111111111-1-1111-1-11111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1111-1-1-1-1
χ6111111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-111-111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1111111-1-1-1111111-1-1-1-11111-1-1-1-1-11111-11-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-1111111-1-1-111-1-1-1-11111-1-1-1-11111-111-1-1-11-1-1-111-1-111
χ111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1-1111111-1-111
χ121111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-11111-1-111-1-1
χ131111111111111111-1-1-1-1-1-111-1-111-111111111-1-1-1-1-1-1-1-11111-1-1-1111-111-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-111-1-111-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111-11111-1-1
χ151111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111111-1-11-1-1-111111-1-1
χ161111111111111111-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-11-1-1-1-111
χ1722222222222-2-2-2-222222-2-2-2-20022-200-2-20000000000000000-2000000002000000
χ1822222222222-2-2-2-222222-2-2-2-200-2-2-200220000000000000000200000000-2000000
χ1922222222222-2-2-2-22-2-2-2-222-2-20022200-2-20000000000000000200000000-2000000
χ2022222222222-2-2-2-22-2-2-2-222-2-200-2-2200220000000000000000-2000000002000000
χ2122222222-2-2-22222-222-2-222-2-22200-22200000000000000000000000-2-2000000000
χ2222222222-2-2-22222-222-2-222-2-2-2-200-2-2-20000000000000000000000022000000000
χ2322222222-2-2-22222-2-2-222-2-2-2-222002-2-2000000000000000000000002-2000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2-2-20022200000000000000000000000-22000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-222000020000000000000000000002-200002-20000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-22200002000000000000000000000-220000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000-20000000000000000000002-20000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000000-2200002-20000000
χ292-22-2-22-22000-2-22202-2002-2002-20002-20022−2−222−2−222−2−222−2−20000000000000000
χ302-22-2-22-22000-2-22202-2002-2002-20002-200−2−222−2−222−2−222−2−2220000000000000000
χ312-22-2-22-22000-2-22202-2002-200-22000-220022−2−222−2−2−2−222−2−2220000000000000000
χ322-22-2-22-22000-2-22202-2002-200-22000-2200−2−222−2−22222−2−222−2−20000000000000000
χ332-22-2-22-22000-2-2220-2200-22002-2000-220022−2−2−2−22222−2−2−2−2220000000000000000
χ342-22-2-22-22000-2-2220-2200-22002-2000-2200−2−22222−2−2−2−22222−2−20000000000000000
χ352-22-2-22-22000-2-2220-2200-2200-220002-20022−2−2−2−222−2−22222−2−20000000000000000
χ362-22-2-22-22000-2-2220-2200-2200-220002-200−2−22222−2−222−2−2−2−2220000000000000000
χ372-2-22-2-2222-2-22-22-220000002-2002-20002-200002-22-20000000000000000002-20000
χ382-2-22-2-2222-2-22-22-220000002-2002-20002-20000-22-22000000000000000000-220000
χ392-2-22-2-2222-2-22-22-220000002-200-22000-2200002-22-2000000000000000000-220000
χ402-2-22-2-2222-2-22-22-220000002-200-22000-220000-22-220000000000000000002-20000
χ412-2-22-2-2222-2-2-22-222000000-22002-2000-222-22-20000000000000002-200000000000
χ422-2-22-2-2222-2-2-22-222000000-22002-2000-22-22-22000000000000000-2200000000000
χ432-2-22-2-2222-2-2-22-222000000-2200-220002-22-22-2000000000000000-2200000000000
χ442-2-22-2-2222-2-2-22-222000000-2200-220002-2-22-220000000000000002-200000000000
χ454444-4-4-4-400000000004i−4i0000000000000000000002-22-22i−2i2i−2i0000000000000000
χ464444-4-4-4-400000000004i−4i000000000000000000000-22-22−2i2i−2i2i0000000000000000
χ474444-4-4-4-40000000000−4i4i0000000000000000000002-22-2−2i2i−2i2i0000000000000000
χ484444-4-4-4-40000000000−4i4i000000000000000000000-22-222i−2i2i−2i0000000000000000
χ4944-4-44-4-440004-4-4400000000000000000022−22−22220000000000000000000000000000
χ5044-4-44-4-440004-4-44000000000000000000−222222−220000000000000000000000000000
χ5144-4-44-4-44000-444-4000000000000000000000022−22−2222000000000000000000000000
χ5244-4-44-4-44000-444-40000000000000000000000−222222−22000000000000000000000000
χ5344-4-4-444-444-40000-4000000000000000000000000000000000000000000000002i2−2i2
χ5444-4-4-444-444-40000-400000000000000000000000000000000000000000000000−2i22i2
χ5544-4-4-444-4-4-440000400000000000000000000000000000000000000000000022−2200
χ5644-4-4-444-4-4-4400004000000000000000000000000000000000000000000000−222200
χ574-44-44-44-44-440000-4000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-44-44-44-44-440000-400000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-44-44-44-4-44-400004000000000000000000000000022−22−222200000000000000000000
χ604-44-44-44-4-44-4000040000000000000000000000000−222222−2200000000000000000000
χ614-44-4-44-4400044-4-404-400-440000000000000000000000000000000000000000000
χ624-44-4-44-4400044-4-40-44004-40000000000000000000000000000000000000000000
χ634-4-44-4-444-4444-44-4-4000000-4400000000000000000000000000000000000000000
χ644-4-44-4-444-444-44-44-40000004-400000000000000000000000000000000000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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