Finite Group Databasebeta

← Group #258039

Character table — Group #258039

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244444444888888888888888888888888816161616161616161616161616161616
order12222222222244444444444422444444444444444888888882244444444448888
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-11-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1111111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-11-11111111-1-1-1-1
χ9111111111111-1-1-1-11-1-1-1-111111-1-111111111-1-1-1-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1
χ10111111111111-1-1-1-11-1-1-1-111111-1-11111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111-1-1-111-1-111
χ11111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111-11111-1-1111-1-1-1-111
χ12111111111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-11-1-11111-1-1
χ13111111111111-1-1-1-11-1-1-1-1111-1-11111111111-1-1-1-1-11111-1-1-1-11-1-11-1-1-11-1-111-1-111
χ14111111111111-1-1-1-11-1-1-1-1111-1-1111111-1-1-1-1-11111-1-1-1-111111-1-11-1-1-1111-1-111-1-1
χ15111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-111-1-1-11111-1-1
χ16111111111111-1-1-1-11-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-111-111-1-1-1-111
χ172222222222222222-222-2-2-2-2-2222200000000-2000000000000-2000-200000000000
χ182222222222222222-222-2-2-2-2-2-2-2-2-200000000-20000000000002000200000000000
χ19222222222222-2-2-2-2-2-2-222-2-2-222-2-20000000020000000000002000-200000000000
χ20222222222222-2-2-2-2-2-2-222-2-2-2-2-222000000002000000000000-2000200000000000
χ2122222222-2-2-2-222222-2-2-2-2-2-22000000000000200000000000000020-22-200000000
χ2222222222-2-2-2-222222-2-2-2-2-2-220000000000002000000000000000-202-2200000000
χ2322222222-2-2-2-22222-2-2-22222-2000022-2-20000-20000000000000-220000000000000
χ2422222222-2-2-2-22222-2-2-22222-20000-2-2220000-200000000000002-20000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-22000000000000-2000000000000000202-2-200000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22000000000000-2000000000000000-20-22200000000
χ2722222222-2-2-2-2-2-2-2-2-222-2-222-2000022-2-20000200000000000002-20000000000000
χ2822222222-2-2-2-2-2-2-2-2-222-2-222-20000-2-222000020000000000000-220000000000000
χ29222-2-2-2-222-22-22i2i−2i−2i02i−2i000002-22i−2i000000000000022−2−2i2i2−i2−i20000000000002−2i2−i2
χ30222-2-2-2-222-22-22i2i−2i−2i02i−2i000002-22i−2i0000000000000−2−222−i2−i2i2i2000000000000−22−i2i2
χ31222-2-2-2-222-22-22i2i−2i−2i02i−2i00000-22−2i2i000000000000022−2−2i2i2−i2−i2000000000000−22−i2i2
χ32222-2-2-2-222-22-22i2i−2i−2i02i−2i00000-22−2i2i0000000000000−2−222−i2−i2i2i20000000000002−2i2−i2
χ33222-2-2-2-222-22-2−2i−2i2i2i0−2i2i000002-2−2i2i000000000000022−2−2−i2−i2i2i20000000000002−2−i2i2
χ34222-2-2-2-222-22-2−2i−2i2i2i0−2i2i000002-2−2i2i0000000000000−2−222i2i2−i2−i2000000000000−22i2−i2
χ35222-2-2-2-222-22-2−2i−2i2i2i0−2i2i00000-222i−2i000000000000022−2−2−i2−i2i2i2000000000000−22i2−i2
χ36222-2-2-2-222-22-2−2i−2i2i2i0−2i2i00000-222i−2i0000000000000−2−222i2i2−i2−i20000000000002−2−i2i2
χ3722-22-22-2-222-2-20000-200002-2200002i−2i2i−2i000002i2i−2i−2i00002-22-20000000000000000
χ3822-22-22-2-222-2-20000-200002-2200002i−2i2i−2i00000−2i−2i2i2i0000-22-220000000000000000
χ3922-22-22-2-222-2-20000-200002-220000−2i2i−2i2i000002i2i−2i−2i0000-22-220000000000000000
χ4022-22-22-2-222-2-20000-200002-220000−2i2i−2i2i00000−2i−2i2i2i00002-22-20000000000000000
χ4122-22-22-2-2-2-2220000200002-2-200002i−2i−2i2i22-2-2000002i−2i2i−2i00000000000000000000
χ4222-22-22-2-2-2-2220000200002-2-200002i−2i−2i2i-2-22200000−2i2i−2i2i00000000000000000000
χ4322-22-22-2-2-2-2220000200002-2-20000−2i2i2i−2i22-2-200000−2i2i−2i2i00000000000000000000
χ4422-22-22-2-2-2-2220000200002-2-20000−2i2i2i−2i-2-222000002i−2i2i−2i00000000000000000000
χ45444-4-4-4-44-44-444i4i−4i−4i0−4i4i0000000000000000000000000000000000000000000000
χ46444-4-4-4-44-44-44−4i−4i4i4i04i−4i0000000000000000000000000000000000000000000000
χ4744-44-44-4-444-4-4000040000-44-400000000000000000000000000000000000000000
χ4844-44-44-4-4-4-4440000-40000-44400000000000000000000000000000000000000000
χ4944-4-44-44-44-4-440000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ5044-4-44-44-44-4-44000000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ5144-4-44-44-4-444-4000000000000000000000000000002i2−2i2−2i22i200000000000000000000
χ5244-4-44-44-4-444-400000000000000000000000000000−2i22i22i2−2i200000000000000000000
χ534-444-4-44-400004-44-4000000000000000000000000000000000000000002i−2i2i−2i0000
χ544-444-4-44-400004-44-400000000000000000000000000000000000000000−2i2i−2i2i0000
χ554-444-4-44-40000-44-44000000000000000000000000000000000000000002i−2i−2i2i0000
χ564-444-4-44-40000-44-4400000000000000000000000000000000000000000−2i2i2i−2i0000
χ574-44-444-4-400004i−4i−4i4i00000000000000002-22-202i−2i2i−2i000000000000000000000000
χ584-44-444-4-400004i−4i−4i4i0000000000000000-22-220−2i2i−2i2i000000000000000000000000
χ594-44-444-4-40000−4i4i4i−4i00000000000000002-22-20−2i2i−2i2i000000000000000000000000
χ604-44-444-4-40000−4i4i4i−4i0000000000000000-22-2202i−2i2i−2i000000000000000000000000
χ614-4-4-4-4444000000000004-4000000000002-2-2202-2-22000000000000000000000000
χ624-4-4-4-4444000000000004-400000000000-222-20-222-2000000000000000000000000
χ634-4-4-4-444400000000000-44000000000002-2-220-222-2000000000000000000000000
χ644-4-4-4-444400000000000-4400000000000-222-202-2-22000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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