Finite Group Databasebeta

← Group #277145

Character table — Group #277145

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444224444444888888888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111111111111111-1-11-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
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
χ911111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-11
χ1111111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111-1-11111-1-1-11
χ1211111111-1-1-1-11111111111-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111-1
χ1311111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-11
χ1411111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-111-1-111-1-11111-1-11-1
χ1511111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-11
χ172222222222222-2-222-22-2-2-2-2-22222-222-2-2-2-2000000000000000000000000000000
χ182222222222222-2-222-22-2-2-2-2-222-2-2-2-2-22222000000000000000000000000000000
χ19222222222222-222-2-22-22-2-222-2-200-2000000000022220000-2-2-2-200000000000000
χ20222222222222-222-2-22-22-2-222-2-200-20000000000-2-2-2-20000222200000000000000
χ21222222222222-2-2-2-2-2-2-2-222-2-2-2-20020000000000000000000000000000002i−2i2i−2i00
χ22222222222222-2-2-2-2-2-2-2-222-2-2-2-2002000000000000000000000000000000−2i2i−2i2i00
χ2322222222-2-2-2-22-2-222-22-2-2-222-2-2222-2-222-2-2000000000000000000000000000000
χ2422222222-2-2-2-22-2-222-22-2-2-222-2-2-2-2222-2-222000000000000000000000000000000
χ2522222222-2-2-2-2-222-2-22-22-2-2-2-222002000000000022-2-20000-2-22200000000000000
χ2622222222-2-2-2-2-222-2-22-22-2-2-2-2220020000000000-2-222000022-2-200000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-222222200-20000000000000000000000000000002i−2i−2i2i00
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-222222200-2000000000000000000000000000000−2i2i2i−2i00
χ2922-2-2-22-220000-2222-2-22-22-200002-2000002-22i2i−2i−2i0000000000002i−2i000000000000
χ3022-2-2-22-220000-2222-2-22-22-200002-2000002-2−2i−2i2i2i000000000000−2i2i000000000000
χ3122-2-2-22-220000-2222-2-22-22-20000-2200000-222i2i−2i−2i000000000000−2i2i000000000000
χ3222-2-2-22-220000-2222-2-22-22-20000-2200000-22−2i−2i2i2i0000000000002i−2i000000000000
χ3322-2-2-22-220000-2-2-22-2222-2200002-200000-220000000022-2-20000002-20000000000
χ3422-2-2-22-220000-2-2-22-2222-2200002-200000-2200000000-2-222000000-220000000000
χ3522-2-2-22-220000-2-2-22-2222-220000-22000002-20000000022-2-2000000-220000000000
χ3622-2-2-22-220000-2-2-22-2222-220000-22000002-200000000-2-2220000002-20000000000
χ372-2-222-2-2222-2-202-20020-2002-200000000000i2−i2i2−i20000i2−i2i2−i22i−2i2i−2i00002−22−2000000
χ382-2-222-2-2222-2-202-20020-2002-200000000000i2−i2i2−i20000i2−i2i2−i2−2i2i−2i2i0000−22−22000000
χ392-2-222-2-2222-2-202-20020-2002-200000000000−i2i2−i2i20000−i2i2−i2i22i−2i2i−2i0000−22−22000000
χ402-2-222-2-2222-2-202-20020-2002-200000000000−i2i2−i2i20000−i2i2−i2i2−2i2i−2i2i00002−22−2000000
χ412-2-222-2-22-2-22202-20020-200-2200000000000i2−i2i2−i20000−i2i2−i2i22i−2i−2i2i00002−2−22000000
χ422-2-222-2-22-2-22202-20020-200-2200000000000i2−i2i2−i20000−i2i2−i2i2−2i2i2i−2i0000−222−2000000
χ432-2-222-2-22-2-22202-20020-200-2200000000000−i2i2−i2i20000i2−i2i2−i22i−2i−2i2i0000−222−2000000
χ442-2-222-2-22-2-22202-20020-200-2200000000000−i2i2−i2i20000i2−i2i2−i2−2i2i2i−2i00002−2−22000000
χ4544-44-4-44-44i−4i4i−4i00000000000000000000000000022−222i2−2i20000000000000000000000
χ4644-44-4-44-44i−4i4i−4i000000000000000000000000000−2222−2i22i20000000000000000000000
χ4744-44-4-44-4−4i4i−4i4i00000000000000000000000000022−22−2i22i20000000000000000000000
χ4844-44-4-44-4−4i4i−4i4i000000000000000000000000000−22222i2−2i20000000000000000000000
χ4944-4-4-44-440000444-44-4-4-4-440000000000000000000000000000000000000000000
χ5044-4-4-44-4400004-4-4-444-444-40000000000000000000000000000000000000000000
χ514-444-44-4-44i−4i−4i4i400-4-404000004i−4i000000000000000000000000000000000000000
χ524-444-44-4-44i−4i−4i4i-400440-400000−4i4i000000000000000000000000000000000000000
χ534-444-44-4-4−4i4i4i−4i400-4-40400000−4i4i000000000000000000000000000000000000000
χ544-444-44-4-4−4i4i4i−4i-400440-4000004i−4i000000000000000000000000000000000000000
χ554-44-4-4-444000004-400-40400000000000000022−22−222200000000000000000000000000
χ564-44-4-4-444000004-400-404000000000000000−222222−2200000000000000000000000000
χ574-44-4-4-44400000-440040-4000000000000000000000002i2−2i2−2i22i2000000000000000000
χ584-44-4-4-44400000-440040-400000000000000000000000−2i22i22i2−2i2000000000000000000
χ594-4-444-4-4444-4-40-4400-40400-4400000000000000000000000000000000000000000
χ604-4-444-4-44-4-4440-4400-404004-400000000000000000000000000000000000000000
χ614-4-4-4444-400004004-40-40000000000004i−4i00000000000000000000000000000000
χ624-4-4-4444-400004004-40-4000000000000−4i4i00000000000000000000000000000000
χ634-4-4-4444-40000-400-440400000000004-40000000000000000000000000000000000
χ644-4-4-4444-40000-400-44040000000000-440000000000000000000000000000000000
χ65888-88-8-8-8000000000000000000000000000000000000000000000000000000000

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