Finite Group Databasebeta

← Group #272793

Character table — Group #272793

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1
χ311111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-11-111-1-11-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1-11-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-11-1-11-1-1-1-1-1
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-11-11111
χ7111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-11-1-111111
χ8111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111-1111-11-1-11-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-1111111-1-1-111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-111-1-1
χ10111111111111-1-1-1-1-1-1-1-1111111-1-1-11111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-1-1-1-111
χ11111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11-1-1-111-111-1-111
χ12111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11-11111-11111-1-1
χ13111111111111-1-1-1-1-1-1-1-11111-1-111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-111-11-1-111
χ14111111111111-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1111-1-1
χ15111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11111-111-111-1-1
χ16111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-11-1-11-111-1-1-111
χ17222222222222222222-2-2-2-2-2-22222-200000000000000000000000-200000-2000000
χ18222222222222222222-2-2-2-2-2-2-2-2-2-2-2000000000000000000000002000002000000
χ19222222222222-2-2-2-2-2-222-2-2-2-222-2-2200000000000000000000000-2000002000000
χ20222222222222-2-2-2-2-2-222-2-2-2-2-2-222200000000000000000000000200000-2000000
χ2122222222-2-2-2-22222-2-2222-2-220000-2000000000000000000000020-2000200-20000
χ2222222222-2-2-2-22222-2-2222-2-220000-20000000000000000000000-202000-20020000
χ2322222222-2-2-2-22222-2-2-2-2-222-20000222-2-200000000000000000000000-200200000
χ2422222222-2-2-2-22222-2-2-2-2-222-200002-2-22200000000000000000000000200-200000
χ2522222222-2-2-2-2-2-2-2-22222-222-20000-222-2-200000000000000000000000200-200000
χ2622222222-2-2-2-2-2-2-2-22222-222-20000-2-2-22200000000000000000000000-200200000
χ2722222222-2-2-2-2-2-2-2-222-2-22-2-2200002000000000000000000000020-2000-20020000
χ2822222222-2-2-2-2-2-2-2-222-2-22-2-22000020000000000000000000000-202000200-20000
χ2922-222-2-2-22-2-2222-2-22-20000002-22-20000000000000i2i2−i2−i2i2i2−i2−i2000000000000i2−i2i2−i2
χ3022-222-2-2-22-2-2222-2-22-20000002-22-20000000000000−i2−i2i2i2−i2−i2i2i2000000000000−i2i2−i2i2
χ3122-222-2-2-22-2-2222-2-22-2000000-22-220000000000000i2i2−i2−i2i2i2−i2−i2000000000000−i2i2−i2i2
χ3222-222-2-2-22-2-2222-2-22-2000000-22-220000000000000−i2−i2i2i2−i2−i2i2i2000000000000i2−i2i2−i2
χ3322-222-2-2-22-2-22-2-222-220000002-2-220000000000000i2i2−i2−i2−i2−i2i2i2000000000000i2−i2−i2i2
χ3422-222-2-2-22-2-22-2-222-220000002-2-220000000000000−i2−i2i2i2i2i2−i2−i2000000000000−i2i2i2−i2
χ3522-222-2-2-22-2-22-2-222-22000000-222-20000000000000i2i2−i2−i2−i2−i2i2i2000000000000−i2i2i2−i2
χ3622-222-2-2-22-2-22-2-222-22000000-222-20000000000000−i2−i2i2i2i2i2−i2−i2000000000000i2−i2−i2i2
χ372-2-22-2-22222-2-20000000022-2-2000002-22-22i2i−2i−2i00002i−2i2i−2i00000000000000000000
χ382-2-22-2-22222-2-20000000022-2-2000002-22-2−2i−2i2i2i0000−2i2i−2i2i00000000000000000000
χ392-2-22-2-22222-2-20000000022-2-200000-22-222i2i−2i−2i0000−2i2i−2i2i00000000000000000000
χ402-2-22-2-22222-2-20000000022-2-200000-22-22−2i−2i2i2i00002i−2i2i−2i00000000000000000000
χ412-2-22-2-222-2-22200000000-22-22000002-2-22000022-2-200002-22-20000000000000000
χ422-2-22-2-222-2-22200000000-22-22000002-2-220000-2-2220000-22-220000000000000000
χ432-2-22-2-222-2-22200000000-22-2200000-222-2000022-2-20000-22-220000000000000000
χ442-2-22-2-222-2-22200000000-22-2200000-222-20000-2-22200002-22-20000000000000000
χ45444-4-4-4-4400004i−4i4i−4i0000000000000000000000000000000002-20002i−2i000000000
χ46444-4-4-4-4400004i−4i4i−4i000000000000000000000000000000000-22000−2i2i000000000
χ47444-4-4-4-440000−4i4i−4i4i0000000000000000000000000000000002-2000−2i2i000000000
χ48444-4-4-4-440000−4i4i−4i4i000000000000000000000000000000000-220002i−2i000000000
χ4944-444-4-4-4-444-444-4-4-4400000000000000000000000000000000000000000000000
χ5044-444-4-4-4-444-4-4-4444-400000000000000000000000000000000000000000000000
χ5144-4-4-444-400004i−4i−4i4i000000000000000002-22-22i−2i2i−2i000000000000000000000000
χ5244-4-4-444-400004i−4i−4i4i00000000000000000-22-22−2i2i−2i2i000000000000000000000000
χ5344-4-4-444-40000−4i4i4i−4i000000000000000002-22-2−2i2i−2i2i000000000000000000000000
χ5444-4-4-444-40000−4i4i4i−4i00000000000000000-22-222i−2i2i−2i000000000000000000000000
χ554-444-44-4-44-44-40000000000000000000000000000022−22−222200000000000000000000
χ564-444-44-4-44-44-400000000000000000000000000000−222222−2200000000000000000000
χ574-444-44-4-4-44-440000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-444-44-4-4-44-44000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-44-44-44-400000000004-400000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
χ604-44-44-44-400000000004-40000000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000
χ614-44-44-44-40000000000-4400000000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ624-44-44-44-40000000000-440000000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ634-4-44-4-44444-4-400000000-4-44400000000000000000000000000000000000000000
χ644-4-44-4-444-4-444000000004-44-400000000000000000000000000000000000000000
χ658-8-8-888-88000000000000000000000000000000000000000000000000000000000

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