Finite Group Databasebeta

← Group #286949

Character table — Group #286949

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222444444444444888888888888888888888881616161616161616161616163232
order12222222444444444444444488884444488888888888888888844444488888824
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111-1-1-1-11111111111-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-11111-1-11111-1-111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-1-1-1-1-111111111-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1
χ10111111111111111111-1-1-1-1-1-111111111-111-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-11
χ11111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-11
χ12111111111111111111-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111111-1
χ14111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-111-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-11111-1-1-1-11-1
χ17222222222-222-2-22-2-2-22222-2-222220000-2-2-22200000000-2-2000000000000000000
χ18222222222-222-2-22-2-2-22222-2-2-2-2-2-20000-222-2-20000000022000000000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-222222200002-2-2-2-20000000022000000000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-222-2-2-2-200002222200000000-2-2000000000000000000
χ2122222222-22-2-222-22-2-222-2-222000022-2-2-20000000000000000002-2000000000000
χ2222222222-22-2-222-22-2-222-2-2220000-2-222-2000000000000000000-22000000000000
χ2322222222-22-2-222-22-2-2-2-222-2-2000022-2-22000000000000000000-22000000000000
χ2422222222-22-2-222-22-2-2-2-222-2-20000-2-22220000000000000000002-2000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-200000000200002i2i−2i−2i0000000000000000002i−2i0000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000000020000−2i−2i2i2i000000000000000000−2i2i0000
χ2722222222-2-2-2-2-2-2-2-222-2-2222200000000-200002i2i−2i−2i000000000000000000−2i2i0000
χ2822222222-2-2-2-2-2-2-2-222-2-2222200000000-20000−2i−2i2i2i0000000000000000002i−2i0000
χ29222-2-2-2-222-22-22-2-222-200000000000000000002-22-22i2i−2i−2i000000002i−2i0000000000
χ30222-2-2-2-222-22-22-2-222-200000000000000000002-22-2−2i−2i2i2i00000000−2i2i0000000000
χ31222-2-2-2-222-22-22-2-222-20000000000000000000-22-222i2i−2i−2i00000000−2i2i0000000000
χ32222-2-2-2-222-22-22-2-222-20000000000000000000-22-22−2i−2i2i2i000000002i−2i0000000000
χ33222-2-2-2-22-22-22-222-22-200000000000000000002i−2i−2i2i0000002i2i−2i−2i00002-200000000
χ34222-2-2-2-22-22-22-222-22-200000000000000000002i−2i−2i2i000000−2i−2i2i2i0000-2200000000
χ35222-2-2-2-22-22-22-222-22-20000000000000000000−2i2i2i−2i0000002i2i−2i−2i0000-2200000000
χ36222-2-2-2-22-22-22-222-22-20000000000000000000−2i2i2i−2i000000−2i−2i2i2i00002-200000000
χ3722-22-2-22-220-2-20020002i−2i2i−2i0022-2-200000002i−2i0000i2−i2i2−i2002−22−2000000i2−i2002−200
χ3822-22-2-22-220-2-20020002i−2i2i−2i0022-2-200000002i−2i0000−i2i2−i2i200−22−22000000−i2i200−2200
χ3922-22-2-22-220-2-20020002i−2i2i−2i00-2-2220000000−2i2i0000i2−i2i2−i2002−22−2000000−i2i200−2200
χ4022-22-2-22-220-2-20020002i−2i2i−2i00-2-2220000000−2i2i0000−i2i2−i2i200−22−22000000i2−i2002−200
χ4122-22-2-22-220-2-2002000−2i2i−2i2i0022-2-20000000−2i2i0000i2−i2i2−i200−22−22000000i2−i200−2200
χ4222-22-2-22-220-2-2002000−2i2i−2i2i0022-2-20000000−2i2i0000−i2i2−i2i2002−22−2000000−i2i2002−200
χ4322-22-2-22-220-2-2002000−2i2i−2i2i00-2-22200000002i−2i0000i2−i2i2−i200−22−22000000−i2i2002−200
χ4422-22-2-22-220-2-2002000−2i2i−2i2i00-2-22200000002i−2i0000−i2i2−i2i2002−22−2000000i2−i200−2200
χ45444-4-4-4-44444-4-44-4-4-4400000000000000000000000000000000000000000000000
χ46444-4-4-4-44-4-4-444-444-4400000000000000000000000000000000000000000000000
χ4744-44-4-44-4-404400-40004i−4i−4i4i0000000000000000000000000000000000000000000
χ4844-44-4-44-4-404400-4000−4i4i4i−4i0000000000000000000000000000000000000000000
χ4944-4-444-4-440-4400-40000000000000000000000000022−22−222200000000000000000000
χ5044-4-444-4-440-4400-400000000000000000000000000−222222−2200000000000000000000
χ5144-4-444-4-4-404-4004000000000000000000000000000000002i2−2i2−2i22i200000000000000
χ5244-4-444-4-4-404-400400000000000000000000000000000000−2i22i22i2−2i200000000000000
χ534-44-44-44-4000000000000004i−4i22−2222−22000000000000000002i2−2i2000000000000000000
χ544-44-44-44-4000000000000004i−4i−2222−222200000000000000000−2i22i2000000000000000000
χ554-44-44-44-400000000000000−4i4i22−2222−2200000000000000000−2i22i2000000000000000000
χ564-44-44-44-400000000000000−4i4i−2222−2222000000000000000002i2−2i2000000000000000000
χ574-4-444-4-4404004-40-4000000000000004i−4i000000000000000000000000000000000
χ584-4-444-4-4404004-40-400000000000000−4i4i000000000000000000000000000000000
χ594-4-444-4-440-400-44040000000000004-400000000000000000000000000000000000
χ604-4-444-4-440-400-4404000000000000-4400000000000000000000000000000000000
χ614-4-4-4-44440400-4-4040000000022−22−22220000022−22000000000000000000000000000000
χ624-4-4-4-44440400-4-40400000000−222222−2200000−2222000000000000000000000000000000
χ634-4-4-4-44440-400440-40000000022−22−222200000−2222000000000000000000000000000000
χ644-4-4-4-44440-400440-400000000−222222−220000022−22000000000000000000000000000000
χ658-888-88-8-8000000000000000000000000000000000000000000000000000000000

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