Finite Group Databasebeta

← Group #98404

Character table — Group #98404

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size11111111444444444444888888888161616161616161616161616161616161616161616161616
order12222222444444444444224444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
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
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ911111111-1-111-1-111-1-1-1-111-1-111111-1-1-1111-1-1ii−i−iii−i−iii−i−iii−i−i
χ1011111111-1-111-1-111-1-1-1-111-1-111111-1-1-1111-1-1−i−iii−i−iii−i−iii−i−iii
χ1111111111-1-111-1-111-1-1-1-111-1-11-1-1-1-111-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ1211111111-1-111-1-111-1-1-1-111-1-11-1-1-1-111-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ1311111111-1-111-1-111-1-1-1-1-1-11111111-1-11-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ1411111111-1-111-1-111-1-1-1-1-1-11111111-1-11-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ1511111111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1111-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ1611111111-1-111-1-111-1-1-1-1-1-1111-1-1-1-1111-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ17222222222222-2-2-2-222-2-22222-2000000-2-200000000000000000000
χ18222222222222-2-2-2-222-2-2-2-2-2-2-20000002200000000000000000000
χ19222222222-2-2-22-2222-22-20000-222-2-22-20000000000000000000000
χ20222222222-2-2-22-2222-22-20000-2-2-222-220000000000000000000000
χ21222222222-2-2-2-22-2-22-2-2200002000000002-22-20000000000000000
χ22222222222-2-2-2-22-2-22-2-220000200000000-22-220000000000000000
χ2322222222-22-2-22-2-2-2-222-200002000000002-2-220000000000000000
χ2422222222-22-2-22-2-2-2-222-20000200000000-222-20000000000000000
χ2522222222-22-2-2-2222-22-220000-222-2-2-220000000000000000000000
χ2622222222-22-2-2-2222-22-220000-2-2-2222-20000000000000000000000
χ2722222222-2-22222-2-2-2-22222-2-2-20000002-200000000000000000000
χ2822222222-2-22222-2-2-2-222-2-222-2000000-2200000000000000000000
χ292222-2-2-2-2222-20000-2-2002-22-20000000000000000000002−22−22−22−2
χ302222-2-2-2-2222-20000-2-2002-22-2000000000000000000000−22−22−22−22
χ312222-2-2-2-2222-20000-2-200-22-220000000000000000000002−22−2−22−22
χ322222-2-2-2-2222-20000-2-200-22-22000000000000000000000−22−222−22−2
χ332222-2-2-2-2-2-22-2000022002-2-22000000000000000000000i2−i2−i2i2i2−i2−i2i2
χ342222-2-2-2-2-2-22-2000022002-2-22000000000000000000000−i2i2i2−i2−i2i2i2−i2
χ352222-2-2-2-2-2-22-200002200-222-2000000000000000000000i2−i2−i2i2−i2i2i2−i2
χ362222-2-2-2-2-2-22-200002200-222-2000000000000000000000−i2i2i2−i2i2−i2−i2i2
χ374444-4-4-4-44-4-440000-4400000000000000000000000000000000000
χ384444-4-4-4-4-44-4400004-400000000000000000000000000000000000
χ3944-4-44-44-400000400000-4000000000000000002-22-2000000000000
χ4044-4-44-44-400000400000-400000000000000000-22-22000000000000
χ4144-4-44-44-400000-4000004000000000000000002i−2i−2i2i000000000000
χ4244-4-44-44-400000-400000400000000000000000−2i2i2i−2i000000000000
χ434-44-4-444-40000400000-400000000000000000000002-22-200000000
χ444-44-4-444-40000400000-40000000000000000000000-22-2200000000
χ454-44-4-444-40000-400000400000000000000000000002i−2i−2i2i00000000
χ464-44-4-444-40000-40000040000000000000000000000−2i2i2i−2i00000000
χ474-4-44-4-4440000004-4000000000004-4000000000000000000000000
χ484-4-44-4-4440000004-400000000000-44000000000000000000000000
χ494-4-44-4-444000000-440000000004-400000000000000000000000000
χ504-4-44-4-444000000-44000000000-4400000000000000000000000000
χ5188-8-8-88-88000000000000000000000000000000000000000000000
χ528-88-88-8-88000000000000000000000000000000000000000000000
χ538-8-8888-8-8000000000000000000000000000000000000000000000

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