Finite Group Databasebeta

← Group #276006

Character table — Group #276006

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444444444444888888888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ511111111111111111111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-1
χ611111111111111111111111111-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
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
χ911111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-11111-11
χ1211111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-111-1-111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ1511111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11
χ172222222222222-222-2-22-2-2-222-2-22222-2-2-2-2-2000000000000000000000000000000
χ182222222222222-222-2-22-2-2-222-2-2-2-2-2-2-22222000000000000000000000000000000
χ19222222222222-22-2-222-2222-2-2-2-20000-2000022-2-222-2-20000000000000000000000
χ20222222222222-22-2-222-2222-2-2-2-20000-20000-2-222-2-2220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22200002000000000000000000000000002i−2i2i−2i0000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000200000000000000000000000000−2i2i−2i2i0000
χ2322222222-2-2-2-22-222-2-22-222-2-2-2-222-2-22-2-222000000000000000000000000000000
χ2422222222-2-2-2-22-222-2-22-222-2-2-2-2-2-222222-2-2000000000000000000000000000000
χ2522222222-2-2-2-2-22-2-222-22-2-222-2-200002000022-2-2-2-2220000000000000000000000
χ2622222222-2-2-2-2-22-2-222-22-2-222-2-2000020000-2-22222-2-20000000000000000000000
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
χ29222-2-22-2-222-2-20-2002-2022-20000000000000002i−2i002i−2i22−2−222−2−20000i2−i20000i2−i200
χ30222-2-22-2-222-2-20-2002-2022-20000000000000002i−2i002i−2i−2−222−2−2220000−i2i20000−i2i200
χ31222-2-22-2-222-2-20-2002-2022-2000000000000000−2i2i00−2i2i22−2−222−2−20000−i2i20000−i2i200
χ32222-2-22-2-222-2-20-2002-2022-2000000000000000−2i2i00−2i2i−2−222−2−2220000i2−i20000i2−i200
χ33222-2-22-2-2-2-2220-2002-202-220000000000000002i−2i00−2i2i22−2−2−2−2220000i2−i20000−i2i200
χ34222-2-22-2-2-2-2220-2002-202-220000000000000002i−2i00−2i2i−2−22222−2−20000−i2i20000i2−i200
χ35222-2-22-2-2-2-2220-2002-202-22000000000000000−2i2i002i−2i22−2−2−2−2220000−i2i20000i2−i200
χ36222-2-22-2-2-2-2220-2002-202-22000000000000000−2i2i002i−2i−2−22222−2−20000i2−i20000−i2i200
χ372-2-22-222-20000222-2-2-2-2200002-2002i−2i0002i−2i000000002-22-20000002i−2i0000000000
χ382-2-22-222-20000222-2-2-2-2200002-2002i−2i0002i−2i00000000-22-22000000−2i2i0000000000
χ392-2-22-222-20000222-2-2-2-2200002-200−2i2i000−2i2i000000002-22-2000000−2i2i0000000000
χ402-2-22-222-20000222-2-2-2-2200002-200−2i2i000−2i2i00000000-22-220000002i−2i0000000000
χ412-2-22-222-200002-22-222-2-20000-22002i−2i000−2i2i0000000000002i−2i2i−2i2-2000000000000
χ422-2-22-222-200002-22-222-2-20000-22002i−2i000−2i2i000000000000−2i2i−2i2i-22000000000000
χ432-2-22-222-200002-22-222-2-20000-2200−2i2i0002i−2i0000000000002i−2i2i−2i-22000000000000
χ442-2-22-222-200002-22-222-2-20000-2200−2i2i0002i−2i000000000000−2i2i−2i2i2-2000000000000
χ45444-4-44-4-444-4-40400-440-4-440000000000000000000000000000000000000000000
χ46444-4-44-4-4-4-4440400-440-44-40000000000000000000000000000000000000000000
χ4744-444-4-4-4000040-4400-400000004-40000000000000000000000000000000000000
χ4844-444-4-4-4000040-4400-40000000-440000000000000000000000000000000000000
χ4944-444-4-4-40000-404-40040000000000004i−4i00000000000000000000000000000000
χ5044-444-4-4-40000-404-4004000000000000−4i4i00000000000000000000000000000000
χ514-444-4-4-444i−4i4i−4i40-4-40040004i−4i00000000000000000000000000000000000000000
χ524-444-4-4-444i−4i4i−4i-404400-4000−4i4i00000000000000000000000000000000000000000
χ534-444-4-4-44−4i4i−4i4i40-4-4004000−4i4i00000000000000000000000000000000000000000
χ544-444-4-4-44−4i4i−4i4i-404400-40004i−4i00000000000000000000000000000000000000000
χ554-44-44-44-44i−4i−4i4i0000000000000000000000022−22002i2−2i2000000000000000000000000
χ564-44-44-44-44i−4i−4i4i00000000000000000000000−222200−2i22i2000000000000000000000000
χ574-44-44-44-4−4i4i4i−4i0000000000000000000000022−2200−2i22i2000000000000000000000000
χ584-44-44-44-4−4i4i4i−4i00000000000000000000000−2222002i2−2i2000000000000000000000000
χ594-4-44-444-40000-44-44-4-4440000-44000000000000000000000000000000000000000
χ604-4-44-444-40000-4-4-44444-400004-4000000000000000000000000000000000000000
χ614-4-4-444-44000004004-40-40000000000000000000000000002i2−2i2−2i22i200000000000000
χ624-4-4-444-44000004004-40-4000000000000000000000000000−2i22i22i2−2i200000000000000
χ634-4-4-444-4400000-400-44040000000000000000000000022−22−2222000000000000000000
χ644-4-4-444-4400000-400-440400000000000000000000000−222222−22000000000000000000
χ6588-8-8-8-888000000000000000000000000000000000000000000000000000000000

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