Finite Group Databasebeta

← Group #276580

Character table — Group #276580

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
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-1-1-11-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ11111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-11
χ12111111111-1-1-1-11111111-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ13111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ14111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-11111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11
χ172222222222222-222-2-22-222-2-2-2-2000000-2000000000022-2-222-2-200000000000000
χ182222222222222-222-2-22-222-2-2-2-2000000-20000000000-2-222-2-22200000000000000
χ19222222222-2-2-2-2-222-2-22-2-2-222-2-20000002000000000022-2-2-2-22200000000000000
χ20222222222-2-2-2-2-222-2-22-2-2-222-2-200000020000000000-2-22222-2-200000000000000
χ2122222222-222222-2-222-22-2-222-2-22222-2-2-2-2-2000000000000000000000000000000
χ2222222222-222222-2-222-22-2-222-2-2-2-2-2-222-222000000000000000000000000000000
χ2322222222-22222-2-2-2-2-2-2-2-2-2-2-222000000200000000000000000000002i−2i2i−2i000000
χ2422222222-22222-2-2-2-2-2-2-2-2-2-2-22200000020000000000000000000000−2i2i−2i2i000000
χ2522222222-2-2-2-2-22-2-222-2222-2-2-2-222-2-2-2-2222000000000000000000000000000000
χ2622222222-2-2-2-2-22-2-222-2222-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200000000000000000000002i−2i−2i2i000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20000000000000000000000−2i2i2i−2i000000
χ292222-2-2-2-2222-2-202-200-202-2000000000000022−2−222−2−2002-2002-2000000002−22−200
χ302222-2-2-2-2222-2-202-200-202-2000000000000022−2−222−2−200-2200-2200000000−22−2200
χ312222-2-2-2-2222-2-202-200-202-20000000000000−2−222−2−222002-2002-200000000−22−2200
χ322222-2-2-2-2222-2-202-200-202-20000000000000−2−222−2−22200-2200-22000000002−22−200
χ332222-2-2-2-22-2-22202-200-20-22000000000000022−2−2−2−222002-200-22000000002−2−2200
χ342222-2-2-2-22-2-22202-200-20-22000000000000022−2−2−2−22200-22002-200000000−222−200
χ352222-2-2-2-22-2-22202-200-20-220000000000000−2−22222−2−2002-200-2200000000−222−200
χ362222-2-2-2-22-2-22202-200-20-220000000000000−2−22222−2−200-22002-2000000002−2−2200
χ3722-2-22-22-220000-2-2-22-22200002-2002i−2i0002i−2i00002i−2i2i−2i000000002-2000000000000
χ3822-2-22-22-220000-2-2-22-22200002-2002i−2i0002i−2i0000−2i2i−2i2i00000000-22000000000000
χ3922-2-22-22-220000-2-2-22-22200002-200−2i2i000−2i2i00002i−2i2i−2i00000000-22000000000000
χ4022-2-22-22-220000-2-2-22-22200002-200−2i2i000−2i2i0000−2i2i−2i2i000000002-2000000000000
χ4122-2-22-22-2-20000-2222-2-220000-22002i−2i000−2i2i2-22-2000000000000002i−2i0000000000
χ4222-2-22-22-2-20000-2222-2-220000-22002i−2i000−2i2i-22-2200000000000000−2i2i0000000000
χ4322-2-22-22-2-20000-2222-2-220000-2200−2i2i0002i−2i2-22-200000000000000−2i2i0000000000
χ4422-2-22-22-2-20000-2222-2-220000-2200−2i2i0002i−2i-22-22000000000000002i−2i0000000000
χ454444-4-4-4-4-444-4-40-440040-440000000000000000000000000000000000000000000
χ464444-4-4-4-4-4-4-4440-4400404-40000000000000000000000000000000000000000000
χ4744-4-44-44-4400004-4-4-444-40000-44000000000000000000000000000000000000000
χ4844-4-44-44-4-40000444-44-4-400004-4000000000000000000000000000000000000000
χ4944-4-4-44-44400000-4400-4000000000000000000002i2−2i2−2i22i20000000000000000000000
χ5044-4-4-44-44400000-4400-400000000000000000000−2i22i22i2−2i20000000000000000000000
χ5144-4-4-44-44-4000004-4004000000000000000022−22−222200000000000000000000000000
χ5244-4-4-44-44-4000004-40040000000000000000−222222−2200000000000000000000000000
χ534-44-444-4-404-44-4400-4-404004-400000000000000000000000000000000000000000
χ544-44-444-4-404-44-4-400440-400-4400000000000000000000000000000000000000000
χ554-44-444-4-40-44-44400-4-40400-4400000000000000000000000000000000000000000
χ564-44-444-4-40-44-44-400440-4004-400000000000000000000000000000000000000000
χ574-44-4-4-44404-4-4400000000000000000000000000000022−220022−220000000000000000
χ584-44-4-4-44404-4-44000000000000000000000000000000−222200−22220000000000000000
χ594-44-4-4-4440-444-400000000000000000000000000000022−2200−22220000000000000000
χ604-44-4-4-4440-444-4000000000000000000000000000000−22220022−220000000000000000
χ614-4-444-4-44000004004-40-400000000004i−4i000000000000000000000000000000000
χ624-4-444-4-44000004004-40-40000000000−4i4i000000000000000000000000000000000
χ634-4-444-4-4400000-400-44040000004-40000000000000000000000000000000000000
χ644-4-444-4-4400000-400-4404000000-440000000000000000000000000000000000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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