Finite Group Databasebeta

← Group #277181

Character table — Group #277181

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11-1
χ101111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-11
χ111111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-11
χ121111111111-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-11-1
χ131111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11
χ141111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1111-1
χ151111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111-1
χ161111111111-1-1-1-1111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-11
χ1722222222222222-2-2-222-222-2-2-2-20000-200000000000022-2-222-2-200000000000000
χ1822222222222222-2-2-222-222-2-2-2-20000-2000000000000-2-222-2-22200000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-222-2-20000200000000000022-2-2-2-22200000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-222-2-200002000000000000-2-22222-2-200000000000000
χ2122222222-2-22222222-2-22-2-222-2-22222-2-2-2-2-2000000000000000000000000000000
χ2222222222-2-22222222-2-22-2-222-2-2-2-2-2-2-22222000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-22200002000000000000000000000000002i−2i2i−2i0000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-2220000200000000000000000000000000−2i2i−2i2i0000
χ2522222222-2-2-2-2-2-2222-2-2222-2-2-2-222-2-22-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-200000000000000000000000000−2i2i2i−2i0000
χ2922-2-22-22-22-22i2i−2i−2i0002-202i−2i0000000000000i2i2−i2−i222−2−2002i−2i002-200002−20000i2−i200
χ3022-2-22-22-22-22i2i−2i−2i0002-202i−2i0000000000000i2i2−i2−i222−2−200−2i2i00-220000−220000−i2i200
χ3122-2-22-22-22-22i2i−2i−2i0002-202i−2i0000000000000−i2−i2i2i2−2−222002i−2i002-20000−220000−i2i200
χ3222-2-22-22-22-22i2i−2i−2i0002-202i−2i0000000000000−i2−i2i2i2−2−22200−2i2i00-2200002−20000i2−i200
χ3322-2-22-22-22-2−2i−2i2i2i0002-20−2i2i0000000000000i2i2−i2−i2−2−222002i−2i00-2200002−20000−i2i200
χ3422-2-22-22-22-2−2i−2i2i2i0002-20−2i2i0000000000000i2i2−i2−i2−2−22200−2i2i002-20000−220000i2−i200
χ3522-2-22-22-22-2−2i−2i2i2i0002-20−2i2i0000000000000−i2−i2i2i222−2−2002i−2i00-220000−220000i2−i200
χ3622-2-22-22-22-2−2i−2i2i2i0002-20−2i2i0000000000000−i2−i2i2i222−2−200−2i2i002-200002−20000−i2i200
χ3722-2-2-22-22220000-22-2-2-2200002-2002-20002-22i−2i2i−2i0000000000002i−2i000000000000
χ3822-2-2-22-22220000-22-2-2-2200002-2002-20002-2−2i2i−2i2i000000000000−2i2i000000000000
χ3922-2-2-22-22220000-22-2-2-2200002-200-22000-222i−2i2i−2i000000000000−2i2i000000000000
χ4022-2-2-22-22220000-22-2-2-2200002-200-22000-22−2i2i−2i2i0000000000002i−2i000000000000
χ4122-2-2-22-22-2-20000-22-22220000-22002-2000-2200002-22-200000000002-20000000000
χ4222-2-2-22-22-2-20000-22-22220000-22002-2000-220000-22-220000000000-220000000000
χ4322-2-2-22-22-2-20000-22-22220000-2200-220002-200002-22-20000000000-220000000000
χ4422-2-2-22-22-2-20000-22-22220000-2200-220002-20000-22-2200000000002-20000000000
χ454444-4-4-4-44-40000000-44000000000000000022−22−222200000000000000000000000000
χ464444-4-4-4-44-40000000-440000000000000000−222222−2200000000000000000000000000
χ474444-4-4-4-4-4400000004-40000000000000000000022−22−22220000000000000000000000
χ484444-4-4-4-4-4400000004-400000000000000000000−222222−220000000000000000000000
χ4944-4-44-44-4-444i4i−4i−4i000-440−4i4i0000000000000000000000000000000000000000000
χ5044-4-44-44-4-44−4i−4i4i4i000-4404i−4i0000000000000000000000000000000000000000000
χ5144-4-4-44-444400004-44-4-4-40000-44000000000000000000000000000000000000000
χ5244-4-4-44-44-4-400004-4444-400004-4000000000000000000000000000000000000000
χ534-44-444-4-400000044-400-40000004-40000000000000000000000000000000000000
χ544-44-444-4-400000044-400-4000000-440000000000000000000000000000000000000
χ554-44-444-4-4000000-4-44004000000000004i−4i00000000000000000000000000000000
χ564-44-444-4-4000000-4-4400400000000000−4i4i00000000000000000000000000000000
χ574-44-4-4-444004-44-40000000000000000000000000000022−220022−220000000000000000
χ584-44-4-4-444004-44-400000000000000000000000000000−222200−22220000000000000000
χ594-44-4-4-44400-44-440000000000000000000000000000022−2200−22220000000000000000
χ604-44-4-4-44400-44-4400000000000000000000000000000−22220022−220000000000000000
χ614-4-44-444-4004i−4i−4i4i4-4-4004004i−4i00000000000000000000000000000000000000000
χ624-4-44-444-4004i−4i−4i4i-44400-400−4i4i00000000000000000000000000000000000000000
χ634-4-44-444-400−4i4i4i−4i4-4-400400−4i4i00000000000000000000000000000000000000000
χ644-4-44-444-400−4i4i4i−4i-44400-4004i−4i00000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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