Finite Group Databasebeta

← Group #173894

Character table — Group #173894

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444224444444444424444488888888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ511111111111111111111-1-11-1-111-1-111-1-11-1-11-1-111111111-1-1-1-1-1-1
χ611111111111111111111-1-11-1-111-1-111-1-11-1-11-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-11-1-1-1-111-1-111-111-1-1-11111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-11-1-1-1-111-1-111-111-1-1-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-11-111-111-1-111-1-111-1-11-1
χ10111111111-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-11-111-1-1-111-1-111-1-111-11
χ11111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11-11-111-1-1-1-11111-1-1-11
χ12111111111-1-1-1-1-1-11111111-1-1-1-1-1-1-111111-11-11-1-1-11111-1-1-1-1111-1
χ13111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-111-1111-1-111-1-1-1-111-11
χ14111111111-1-1-1-1-1-111111-1-1-11111-1-1-1-111-1-111-11-1-111-1-11111-1-11-1
χ15111111111-1-1-1-1-1-111111-1-1-111-1-11111-1-111-1-1-1111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-1-1-111111-1-1-111-1-11111-1-111-1-1-11-1-11111-1-111-1-1-11
χ1722222222222-2-222-2-2-2-2200-20022002200-200-20000000000000000
χ1822222222222-2-222-2-2-2-2200-200-2-200-2-20020020000000000000000
χ19222222222-2-222-2-2-2-2-2-22002002200-2-200200-20000000000000000
χ20222222222-2-222-2-2-2-2-2-2200200-2-2002200-20020000000000000000
χ2122222222-22222-2-222-2-2-222-222000000000000-2-200000000000000
χ2222222222-22222-2-222-2-2-2-2-2-2-2-20000000000002200000000000000
χ2322222222-222-2-2-2-2-2-222-200200002200-2-20-2200000000000000000
χ2422222222-222-2-2-2-2-2-222-20020000-2-2002202-200000000000000000
χ2522222222-2-2-22222-2-222-200-200002200220-2-200000000000000000
χ2622222222-2-2-22222-2-222-200-20000-2-200-2-202200000000000000000
χ2722222222-2-2-2-2-22222-2-2-2222-2-2000000000000-2200000000000000
χ2822222222-2-2-2-2-22222-2-2-2-2-22220000000000002-200000000000000
χ29222-2-2-2-2202i−2i2i−2i002-20002-202i−2i000000000000002−2i2−i200002−2i2−i200
χ30222-2-2-2-2202i−2i2i−2i002-20002-202i−2i00000000000000−22−i2i20000−22−i2i200
χ31222-2-2-2-2202i−2i2i−2i002-2000-220−2i2i000000000000002−2i2−i20000−22−i2i200
χ32222-2-2-2-2202i−2i2i−2i002-2000-220−2i2i00000000000000−22−i2i200002−2i2−i200
χ33222-2-2-2-220−2i2i−2i2i002-20002-20−2i2i000000000000002−2−i2i200002−2−i2i200
χ34222-2-2-2-220−2i2i−2i2i002-20002-20−2i2i00000000000000−22i2−i20000−22i2−i200
χ35222-2-2-2-220−2i2i−2i2i002-2000-2202i−2i000000000000002−2−i2i20000−22i2−i200
χ36222-2-2-2-220−2i2i−2i2i002-2000-2202i−2i00000000000000−22i2−i200002−2−i2i200
χ37444-4-4-4-4404i−4i−4i4i00-44000000000000000000000000000000000000
χ38444-4-4-4-440−4i4i4i−4i00-44000000000000000000000000000000000000
χ3944-44-4-44-440000000000-4000004-400000000000000000000000000
χ4044-44-4-44-440000000000-400000-4400000000000000000000000000
χ4144-44-4-44-4-4000000000040000000004i−4i0000000000000000000000
χ4244-44-4-44-4-400000000004000000000−4i4i0000000000000000000000
χ434-44-44-44-4000004i−4i00000000000000000000000000002-22i−2i000000
χ444-44-44-44-4000004i−4i0000000000000000000000000000-22−2i2i000000
χ454-44-44-44-400000−4i4i00000000000000000000000000002-2−2i2i000000
χ464-44-44-44-400000−4i4i0000000000000000000000000000-222i−2i000000
χ474-4-4-4-44440000000004-40000000000004-400000000000000000000
χ484-4-4-4-44440000000004-4000000000000-4400000000000000000000
χ494-4-4-4-4444000000000-44000000004-4000000000000000000000000
χ504-4-4-4-4444000000000-4400000000-44000000000000000000000000
χ5188-8-888-8-8000000000000000000000000000000000000000000000
χ528-888-88-8-8000000000000000000000000000000000000000000000
χ538-8-888-8-88000000000000000000000000000000000000000000000

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