Finite Group Databasebeta

← Group #279469

Character table — Group #279469

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888844
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
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ91111111111-1-1-1-1111111-1-111-1-111-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ101111111111-1-1-1-1111111-1-111-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11
χ111111111111-1-1-1-1111111-1-111-1-111-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-11
χ121111111111-1-1-1-1111111-1-111-1-111-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1
χ131111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ141111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1111-1
χ151111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111111-1
χ161111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11
χ1722222222222222-2-2-222-222-2-2-2-200-20000000000000022-2-222-2-200000000000000
χ1822222222222222-2-2-222-222-2-2-2-200-200000000000000-2-222-2-22200000000000000
χ192222222222-2-2-2-2-2-2-222-2-2-2-2-2220020000000000000022-2-2-2-22200000000000000
χ202222222222-2-2-2-2-2-2-222-2-2-2-2-22200200000000000000-2-22222-2-200000000000000
χ2122222222-2-22222222-2-22-2-2-2-22222-2-2-222-2-2000000000000000000000000000000
χ2222222222-2-22222222-2-22-2-2-2-222-2-2-222-2-222000000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-222-2-200200000000000000000000000000002i−2i2i−2i0000
χ2422222222-2-22222-2-2-2-2-2-2-2-222-2-20020000000000000000000000000000−2i2i−2i2i0000
χ2522222222-2-2-2-2-2-2222-2-2222-2-2-2-2222-2-2-2-222000000000000000000000000000000
χ2622222222-2-2-2-2-2-2222-2-2222-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-200000000000000000000000000002i−2i−2i2i0000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000000000−2i2i2i−2i0000
χ2922-22-22-2-222000022-2-2-2-2002-2002-202-2000022-2-20000000000002-2000000000000
χ3022-22-22-2-222000022-2-2-2-2002-2002-202-20000-2-222000000000000-22000000000000
χ3122-22-22-2-222000022-2-2-2-2002-200-220-22000022-2-2000000000000-22000000000000
χ3222-22-22-2-222000022-2-2-2-2002-200-220-220000-2-2220000000000002-2000000000000
χ3322-22-22-2-2-2-2000022-222-200-22002-20-22000000002i2i−2i−2i00000000002i−2i0000000000
χ3422-22-22-2-2-2-2000022-222-200-22002-20-2200000000−2i−2i2i2i0000000000−2i2i0000000000
χ3522-22-22-2-2-2-2000022-222-200-2200-2202-2000000002i2i−2i−2i0000000000−2i2i0000000000
χ3622-22-22-2-2-2-2000022-222-200-2200-2202-200000000−2i−2i2i2i00000000002i−2i0000000000
χ3722-2-2-2-2222-22i2i−2i−2i0002-202i−2i00000000000002−22−2i2−i2i2−i2002-2002i−2i00002−20000i2−i200
χ3822-2-2-2-2222-22i2i−2i−2i0002-202i−2i00000000000002−22−2i2−i2i2−i200-2200−2i2i0000−220000−i2i200
χ3922-2-2-2-2222-22i2i−2i−2i0002-202i−2i0000000000000−22−22−i2i2−i2i2002-2002i−2i0000−220000−i2i200
χ4022-2-2-2-2222-22i2i−2i−2i0002-202i−2i0000000000000−22−22−i2i2−i2i200-2200−2i2i00002−20000i2−i200
χ4122-2-2-2-2222-2−2i−2i2i2i0002-20−2i2i00000000000002−22−2−i2i2−i2i2002-200−2i2i00002−20000−i2i200
χ4222-2-2-2-2222-2−2i−2i2i2i0002-20−2i2i00000000000002−22−2−i2i2−i2i200-22002i−2i0000−220000i2−i200
χ4322-2-2-2-2222-2−2i−2i2i2i0002-20−2i2i0000000000000−22−22i2−i2i2−i2002-200−2i2i0000−220000i2−i200
χ4422-2-2-2-2222-2−2i−2i2i2i0002-20−2i2i0000000000000−22−22i2−i2i2−i200-22002i−2i00002−20000−i2i200
χ45444-44-4-4-44-40000000-44000000000000000022−22−222200000000000000000000000000
χ46444-44-4-4-44-40000000-440000000000000000−222222−2200000000000000000000000000
χ47444-44-4-4-4-4400000004-40000000000000000000022−22−22220000000000000000000000
χ48444-44-4-4-4-4400000004-400000000000000000000−222222−220000000000000000000000
χ4944-44-44-4-4440000-4-44-4-4400-4400000000000000000000000000000000000000000
χ5044-44-44-4-4-4-40000-4-44444004-400000000000000000000000000000000000000000
χ5144-4-4-4-444-444i4i−4i−4i000-440−4i4i0000000000000000000000000000000000000000000
χ5244-4-4-4-444-44−4i−4i4i4i000-4404i−4i0000000000000000000000000000000000000000000
χ534-444-4-44-40000004-4400-4000000000004-400000000000000000000000000000000
χ544-444-4-44-40000004-4400-400000000000-4400000000000000000000000000000000
χ554-444-4-44-4000000-44-400400000000000004i−4i000000000000000000000000000000
χ564-444-4-44-4000000-44-40040000000000000−4i4i000000000000000000000000000000
χ574-44-4-44-44004-44-4000000000000000000000000000002i2−2i2002i2−2i20000000000000000
χ584-44-4-44-44004-44-400000000000000000000000000000−2i22i200−2i22i20000000000000000
χ594-44-4-44-4400-44-44000000000000000000000000000002i2−2i200−2i22i20000000000000000
χ604-44-4-44-4400-44-4400000000000000000000000000000−2i22i2002i2−2i20000000000000000
χ614-4-444-4-44004i−4i−4i4i4-4-400400004i−4i000000000000000000000000000000000000000
χ624-4-444-4-44004i−4i−4i4i-44400-40000−4i4i000000000000000000000000000000000000000
χ634-4-444-4-4400−4i4i4i−4i4-4-40040000−4i4i000000000000000000000000000000000000000
χ644-4-444-4-4400−4i4i4i−4i-44400-400004i−4i000000000000000000000000000000000000000
χ658-8-8-8888-8000000000000000000000000000000000000000000000000000000000

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