Finite Group Databasebeta

← Group #287391

Character table — Group #287391

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444488888888888888888888888822244444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-111-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-111
χ8111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111111-1-1-1-111111-1-111-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-11-1-11111-1-11-1
χ1011111111111-1-1-1-111111-1-111-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-11
χ1111111111111-1-1-1-111111-1-111-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-11
χ1211111111111-1-1-1-111111-1-111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-111-111-1-111-1-11-1
χ1311111111111-1-1-1-111111-1-111-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-111-111-1-111-1-1-11
χ1411111111111-1-1-1-111111-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1111-1
χ1511111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1111-1
χ1611111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-11-1-11111-1-1-11
χ172222222222-222222-2-2-2222-2-2-2-2-2000000000000000000000000200-22-200000000
χ182222222222-222222-2-2-2222-2-2-2-2-2000000000000000000000000-2002-2200000000
χ192222222222-2-2-2-2-22-2-2-22-2-2-2-2222000000000000000000000000200-2-2200000000
χ202222222222-2-2-2-2-22-2-2-22-2-2-2-2222000000000000000000000000-20022-200000000
χ2122222222-2-222222-2222-2-2-2-2-222-2000022-2-200000000-2-222000000000000000000
χ2222222222-2-222222-2222-2-2-2-2-222-20000-2-2220000000022-2-2000000000000000000
χ2322222222-2-22-2-2-2-2-2222-222-2-2-2-220000222200000000-2-2-2-2000000000000000000
χ2422222222-2-22-2-2-2-2-2222-222-2-2-2-220000-2-2-2-2000000002222000000000000000000
χ2522222222-2-2-22222-2-2-2-2-2-2-222-2-222i2i−2i−2i000000002i2i−2i−2i0000000000000000000000
χ2622222222-2-2-22222-2-2-2-2-2-2-222-2-22−2i−2i2i2i00000000−2i−2i2i2i0000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-22i2i−2i−2i00000000−2i−2i2i2i0000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2−2i−2i2i2i000000002i2i−2i−2i0000000000000000000000
χ29222-2-22-2-200-22i2i−2i−2i022-2000002i−2i000002-200i2i2−i2−i20000002i−2i22−2−200000000i2−i22−200
χ30222-2-22-2-200-22i2i−2i−2i022-2000002i−2i000002-200−i2−i2i2i20000002i−2i−2−22200000000−i2i2−2200
χ31222-2-22-2-200-22i2i−2i−2i022-2000002i−2i00000-2200i2i2−i2−i2000000−2i2i22−2−200000000−i2i2−2200
χ32222-2-22-2-200-22i2i−2i−2i022-2000002i−2i00000-2200−i2−i2i2i2000000−2i2i−2−22200000000i2−i22−200
χ33222-2-22-2-200-2−2i−2i2i2i022-200000−2i2i000002-200i2i2−i2−i2000000−2i2i−2−22200000000i2−i2−2200
χ34222-2-22-2-200-2−2i−2i2i2i022-200000−2i2i000002-200−i2−i2i2i2000000−2i2i22−2−200000000−i2i22−200
χ35222-2-22-2-200-2−2i−2i2i2i022-200000−2i2i00000-2200i2i2−i2−i20000002i−2i−2−22200000000−i2i22−200
χ36222-2-22-2-200-2−2i−2i2i2i022-200000−2i2i00000-2200−i2−i2i2i20000002i−2i22−2−200000000i2−i2−2200
χ372-2222-2-2-22-220000-22-2-22002-2000000000002i−2i2i−2i2i−2i2i−2i0000000002-200000000000
χ382-2222-2-2-22-220000-22-2-22002-2000000000002i−2i2i−2i−2i2i−2i2i000000000-2200000000000
χ392-2222-2-2-22-220000-22-2-22002-200000000000−2i2i−2i2i2i−2i2i−2i000000000-2200000000000
χ402-2222-2-2-22-220000-22-2-22002-200000000000−2i2i−2i2i−2i2i−2i2i0000000002-200000000000
χ412-2222-2-2-2-22-200002-222-2002-20000000000000002-2-2200002i−2i2i−2i0000002i−2i000000
χ422-2222-2-2-2-22-200002-222-2002-20000000000000002-2-220000−2i2i−2i2i000000−2i2i000000
χ432-2222-2-2-2-22-200002-222-2002-2000000000000000-222-200002i−2i2i−2i000000−2i2i000000
χ442-2222-2-2-2-22-200002-222-2002-2000000000000000-222-20000−2i2i−2i2i0000002i−2i000000
χ45444-4-44-4-40044i4i−4i−4i0-4-4400000−4i4i000000000000000000000000000000000000000
χ46444-4-44-4-4004−4i−4i4i4i0-4-44000004i−4i000000000000000000000000000000000000000
χ4744-44-4-44-40004i−4i4i−4i00000000000000000022−22000000002i2−2i200000000000000000000
χ4844-44-4-44-40004i−4i4i−4i000000000000000000−222200000000−2i22i200000000000000000000
χ4944-44-4-44-4000−4i4i−4i4i00000000000000000022−2200000000−2i22i200000000000000000000
χ5044-44-4-44-4000−4i4i−4i4i000000000000000000−2222000000002i2−2i200000000000000000000
χ5144-4-44-4-444404-4-44-4000-44-40000000000000000000000000000000000000000000
χ5244-4-44-4-44440-444-4-4000-4-440000000000000000000000000000000000000000000
χ5344-4-44-4-44-4-404-4-4440004-440000000000000000000000000000000000000000000
χ5444-4-44-4-44-4-40-444-4400044-40000000000000000000000000000000000000000000
χ554-4444-4-4-44-4-40000-4-444400-4400000000000000000000000000000000000000000
χ564-4444-4-4-4-444000044-4-4-400-4400000000000000000000000000000000000000000
χ574-44-4-4-44400400000-44-400000000000000000000000000002i2−2i2−2i22i200000000000000
χ584-44-4-4-44400400000-44-40000000000000000000000000000−2i22i22i2−2i200000000000000
χ594-44-4-4-44400-4000004-44000000000000000022−22−222200000000000000000000000000
χ604-44-4-4-44400-4000004-440000000000000000−222222−2200000000000000000000000000
χ614-4-4-4444-44-4000004000-400000002i2−2i22i2−2i20000000000000000000000000000000000
χ624-4-4-4444-44-4000004000-40000000−2i22i2−2i22i20000000000000000000000000000000000
χ634-4-4-4444-4-4400000-40004000000022−22−22220000000000000000000000000000000000
χ644-4-4-4444-4-4400000-400040000000−222222−220000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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