Finite Group Databasebeta

← Group #98397

Character table — Group #98397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444444444444244444448888888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1-1-111-1-111111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111111111-1-1-1-1-1-1-1-111-1-111111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ12111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-22-22-22-22-2000022-2-2-22-20000000000000000000000
χ182222222222-2-22-22-22-22-20000-2-222-2-220000000000000000000000
χ192222222222-2-2-22-22-22-22000022-2-2-2-220000000000000000000000
χ202222222222-2-2-22-22-22-220000-2-222-22-20000000000000000000000
χ2122222222-2-22222-2-222-2-222-2-20000-200-2200000000000000000000
χ2222222222-2-22222-2-222-2-2-2-2220000-2002-200000000000000000000
χ2322222222-2-222-2-222-2-22222220000-200-2-200000000000000000000
χ2422222222-2-222-2-222-2-222-2-2-2-20000-2002200000000000000000000
χ2522222222-2-2-2-22-2-222-2-2200000000200002-22-20000000000000000
χ2622222222-2-2-2-22-2-222-2-220000000020000-22-220000000000000000
χ2722222222-2-2-2-2-222-2-222-200000000200002-2-220000000000000000
χ2822222222-2-2-2-2-222-2-222-20000000020000-222-20000000000000000
χ292-22-2-222-2002-2002-200-222i−2i2i−2i0000000000000i2−i2i2−i22−22−200000000
χ302-22-2-222-2002-2002-200-222i−2i2i−2i0000000000000−i2i2−i2i2−22−2200000000
χ312-22-2-222-2002-2002-200-22−2i2i−2i2i0000000000000i2−i2i2−i2−22−2200000000
χ322-22-2-222-2002-2002-200-22−2i2i−2i2i0000000000000−i2i2−i2i22−22−200000000
χ332-22-2-222-2002-200-22002-22i−2i−2i2i00000000000002−2−22−i2i2i2−i200000000
χ342-22-2-222-2002-200-22002-22i−2i−2i2i0000000000000−222−2i2−i2−i2i200000000
χ352-22-2-222-2002-200-22002-2−2i2i2i−2i00000000000002−2−22i2−i2−i2i200000000
χ362-22-2-222-2002-200-22002-2−2i2i2i−2i0000000000000−222−2−i2i2i2−i200000000
χ37444-4-4-4-444-400000000000000004i−4i0000000000000000000000000
χ38444-4-4-4-444-40000000000000000−4i4i0000000000000000000000000
χ39444-4-4-4-44-44000000000000004i−4i000000000000000000000000000
χ40444-4-4-4-44-4400000000000000−4i4i000000000000000000000000000
χ414-44-4-444-400-44004400-4-4000000000000000000000000000000000
χ424-44-4-444-400-4400-4-40044000000000000000000000000000000000
χ434-4-44-44-44000004000-40000000000000000000000000002i−2i2i−2i0000
χ444-4-44-44-44000004000-4000000000000000000000000000−2i2i−2i2i0000
χ454-4-44-44-4400000-400040000000000000000000000000002-2-220000
χ464-4-44-44-4400000-40004000000000000000000000000000-222-20000
χ474-4-4-44-44400004000-4000000000000000000000000000000002i−2i2i−2i
χ484-4-4-44-44400004000-400000000000000000000000000000000−2i2i−2i2i
χ494-4-4-44-4440000-40004000000000000000000000000000000002-2-22
χ504-4-4-44-4440000-4000400000000000000000000000000000000-222-2
χ5188-88-8-88-8000000000000000000000000000000000000000000000
χ5288-8-888-8-8000000000000000000000000000000000000000000000
χ538-8888-8-8-8000000000000000000000000000000000000000000000

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