Finite Group Databasebeta

← Group #296241

Character table — Group #296241

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444444444444444448888888888888888244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-11-1-111111111111111111-11-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1111111
χ5111111111111111111111111-1-1-1-11111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-111-11111-1-1
χ6111111111111111111111111-1-1-1-11111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-11-1-1-111111-1-1
χ91111111111111111-1-11-1-1-1-1111-1-1111111-1-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-11-1
χ101111111111111111-1-11-1-1-1-1111-1-1111111-1-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11-1-111-11
χ111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-111-1-1-111-11
χ121111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-111-111-1-11-1
χ131111111111111111-1-11-1-1-1-11-1-1111111-1-1-1111111-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-11
χ141111111111111111-1-11-1-1-1-11-1-1111111-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1111-1
χ151111111111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1111-1
χ161111111111111111-1-11-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-11
χ172222222222-2-222-2-222-2-2-2-2-2-2000000002222200000000000000000-2000-2000000
χ182222222222-2-222-2-222-2-2-2-2-2-200000000-2-22-2-20000000000000000020002000000
χ192222222222-2-222-2-2-2-2-22222-20000000022-2-2-2000000000000000002000-2000000
χ202222222222-2-222-2-2-2-2-22222-200000000-2-2-22200000000000000000-20002000000
χ2122222222-2-222-2-22222-222-2-2-22222000000-2000000000000000000-20-2000000000
χ2222222222-2-222-2-22222-222-2-2-2-2-2-2-2000000-2000000000000000000202000000000
χ2322222222-2-222-2-222-2-2-2-2-222-222-2-20000002000000000000000000-202000000000
χ2422222222-2-222-2-222-2-2-2-2-222-2-2-222000000200000000000000000020-2000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-2222000022-2-200-20000000000000000000002-20000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22220000-2-22200-2000000000000000000000-220000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-22000022-2-2002000000000000000000000-220000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-220000-2-2220020000000000000000000002-20000000
χ2922-2-22-22-200-2-200222-202-20002i−2i2i−2i00000000022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ3022-2-22-22-200-2-200222-202-20002i−2i2i−2i000000000−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ3122-2-22-22-200-2-200222-202-2000−2i2i−2i2i00000000022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ3222-2-22-22-200-2-200222-202-2000−2i2i−2i2i000000000−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ3322-2-22-22-200-2-20022-220-220002i−2i−2i2i00000000022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ3422-2-22-22-200-2-20022-220-220002i−2i−2i2i000000000−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ3522-2-22-22-200-2-20022-220-22000−2i2i2i−2i00000000022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ3622-2-22-22-200-2-20022-220-22000−2i2i2i−2i000000000−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ372-222-2-22-22-22-22-22-200-20000200002i−2i2i−2i0000000002-22-200000000000000002i−2i00
χ382-222-2-22-22-22-22-22-200-20000200002i−2i2i−2i000000000-22-220000000000000000−2i2i00
χ392-222-2-22-22-22-22-22-200-2000020000−2i2i−2i2i0000000002-22-20000000000000000−2i2i00
χ402-222-2-22-22-22-22-22-200-2000020000−2i2i−2i2i000000000-22-2200000000000000002i−2i00
χ412-222-2-22-2-22-22-22-2200-20000200002i−2i−2i2i000002-22-20000000000000000002i−2i0000
χ422-222-2-22-2-22-22-22-2200-20000200002i−2i−2i2i00000-22-22000000000000000000−2i2i0000
χ432-222-2-22-2-22-22-22-2200-2000020000−2i2i2i−2i000002-22-2000000000000000000−2i2i0000
χ442-222-2-22-2-22-22-22-2200-2000020000−2i2i2i−2i00000-22-220000000000000000002i−2i0000
χ45444-4-44-4-400000000000004-400000000000000000000002-22-22-22-2000000000000
χ46444-4-44-4-400000000000004-40000000000000000000000-22-22-22-22000000000000
χ47444-4-44-4-40000000000000-4400000000000000000000002-22-2-22-22000000000000
χ48444-4-44-4-40000000000000-440000000000000000000000-22-222-22-2000000000000
χ4944-44-4-4-444-400-44000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ5044-44-4-4-444-400-4400000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ5144-44-4-4-44-44004-400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5244-44-4-4-44-44004-40000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ5344-4-44-44-4004400-4-44-40-4400000000000000000000000000000000000000000000
χ5444-4-44-44-4004400-4-4-4404-400000000000000000000000000000000000000000000
χ554-444-4-44-44-4-444-4-440040000-400000000000000000000000000000000000000000
χ564-444-4-44-4-444-4-444-40040000-400000000000000000000000000000000000000000
χ574-4-4444-4-44400-4-40000000000000000004-40000000000000000000000000000000
χ584-4-4444-4-44400-4-4000000000000000000-440000000000000000000000000000000
χ594-4-4444-4-4-4-400440000000000000000000004i−4i0000000000000000000000000000
χ604-4-4444-4-4-4-40044000000000000000000000−4i4i0000000000000000000000000000
χ614-4-4-4-4444004-400-4400000000000000000000022−22−2222000000000000000000000000
χ624-4-4-4-4444004-400-44000000000000000000000−222222−22000000000000000000000000
χ634-4-4-4-444400-44004-4000000000000000000000000022−22−222200000000000000000000
χ644-4-4-4-444400-44004-40000000000000000000000000−222222−2200000000000000000000
χ658-88-88-8-88000000000000000000000000000000000000000000000000000000000

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