Finite Group Databasebeta

← Group #327445

Character table — Group #327445

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222444444444444444444222444444444444448888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-111-1-1111111111111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1
χ6111111111111111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
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
χ911111111-1-1-1-111111111-1-1-1-111-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-111-111-1-1-1-111-1-11111-1-11111-1-1-1-111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-111-111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111-1
χ1511111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-11111-1-111-1-1-11
χ1722222222222222-2-222-2-2-2-222-2-2-20022-2-22200-2-200000000000000000000000000
χ1822222222222222-2-222-2-2-2-222-2-2-200-2-222-2-2002200000000000000000000000000
χ19222222222222-2-222-2-22222-2-2-2-2-2220000002200-2-2-2-20000000000000000000000
χ20222222222222-2-222-2-22222-2-2-2-2-2-2-2000000-2-20022220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22220000000000000000000000002-22-20000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2222000000000000000000000000-22-220000000000
χ2322222222-2-2-2-222-2-222-2-222-2-2-2-220022-2-2-2-2002200000000000000000000000000
χ2422222222-2-2-2-222-2-222-2-222-2-2-2-2200-2-2222200-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-222-2-222-2-2222000000-2-200-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-222-2-222-2-222-2-22-2-2000000220022-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222-20000000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2000000000000000000000000-222-20000000000
χ29222-2-2-2-222i2i−2i−2i002-2002-22i−2i000002-20000002i−2i000000i2i2−i2−i222−2−20000i2−i22−2000000
χ30222-2-2-2-222i2i−2i−2i002-2002-22i−2i000002-20000002i−2i000000−i2−i2i2i2−2−2220000−i2i2−22000000
χ31222-2-2-2-222i2i−2i−2i002-2002-22i−2i00000-22000000−2i2i000000i2i2−i2−i222−2−20000−i2i2−22000000
χ32222-2-2-2-222i2i−2i−2i002-2002-22i−2i00000-22000000−2i2i000000−i2−i2i2i2−2−2220000i2−i22−2000000
χ33222-2-2-2-22−2i−2i2i2i002-2002-2−2i2i000002-2000000−2i2i000000i2i2−i2−i2−2−2220000i2−i2−22000000
χ34222-2-2-2-22−2i−2i2i2i002-2002-2−2i2i000002-2000000−2i2i000000−i2−i2i2i222−2−20000−i2i22−2000000
χ35222-2-2-2-22−2i−2i2i2i002-2002-2−2i2i00000-220000002i−2i000000i2i2−i2−i2−2−2220000−i2i22−2000000
χ36222-2-2-2-22−2i−2i2i2i002-2002-2−2i2i00000-220000002i−2i000000−i2−i2i2i222−2−20000i2−i2−22000000
χ3722-2-2-222-22i−2i2i−2i2-2002-200002i−2i00000002i−2i00002-20000i2−i2i2−i22−22−2000000002−2i2−i200
χ3822-2-2-222-22i−2i2i−2i2-2002-200002i−2i00000002i−2i00002-20000−i2i2−i2i2−22−2200000000−22−i2i200
χ3922-2-2-222-22i−2i2i−2i2-2002-200002i−2i0000000−2i2i0000-220000i2−i2i2−i22−22−200000000−22−i2i200
χ4022-2-2-222-22i−2i2i−2i2-2002-200002i−2i0000000−2i2i0000-220000−i2i2−i2i2−22−22000000002−2i2−i200
χ4122-2-2-222-2−2i2i−2i2i2-2002-20000−2i2i00000002i−2i0000-220000i2−i2i2−i2−22−22000000002−2−i2i200
χ4222-2-2-222-2−2i2i−2i2i2-2002-20000−2i2i00000002i−2i0000-220000−i2i2−i2i22−22−200000000−22i2−i200
χ4322-2-2-222-2−2i2i−2i2i2-2002-20000−2i2i0000000−2i2i00002-20000i2−i2i2−i2−22−2200000000−22i2−i200
χ4422-2-2-222-2−2i2i−2i2i2-2002-20000−2i2i0000000−2i2i00002-20000−i2i2−i2i22−22−2000000002−2−i2i200
χ45444-4-4-4-444i4i−4i−4i00-4400-44−4i4i0000000000000000000000000000000000000000000
χ46444-4-4-4-44−4i−4i4i4i00-4400-444i−4i0000000000000000000000000000000000000000000
χ4744-444-4-4-44-4-4400000000000000000000000000000002-2-222-2-2200000000000000
χ4844-444-4-4-44-4-440000000000000000000000000000000-222-2-222-200000000000000
χ4944-444-4-4-4-444-400000000000000000000000000000002-2-22-222-200000000000000
χ5044-444-4-4-4-444-40000000000000000000000000000000-222-22-2-2200000000000000
χ5144-4-4-444-44i−4i4i−4i-4400-440000−4i4i00000000000000000000000000000000000000000
χ5244-4-4-444-4−4i4i−4i4i-4400-4400004i−4i00000000000000000000000000000000000000000
χ534-444-4-44-400004400-4-40000000000000004-4000000000000000000000000000000
χ544-444-4-44-400004400-4-4000000000000000-44000000000000000000000000000000
χ554-444-4-44-40000-4-40044000000000004i−4i0000000000000000000000000000000000
χ564-444-4-44-40000-4-4004400000000000−4i4i0000000000000000000000000000000000
χ574-4-44-44-440000004400-4-400000000000000000004i−4i000000000000000000000000
χ584-4-44-44-440000004400-4-40000000000000000000−4i4i000000000000000000000000
χ594-4-44-44-44000000-4-400440000000000000000000004-40000000000000000000000
χ604-4-44-44-44000000-4-40044000000000000000000000-440000000000000000000000
χ614-4-4-44-44400004-44-4-44-4400004-4000000000000000000000000000000000000000
χ624-4-4-44-44400004-4-44-444-40000-44000000000000000000000000000000000000000
χ634-4-4-44-4440000-444-44-4-440000-44000000000000000000000000000000000000000
χ644-4-4-44-4440000-44-444-44-400004-4000000000000000000000000000000000000000
χ658-88-888-8-8000000000000000000000000000000000000000000000000000000000

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