Finite Group Databasebeta

← Group #248685

Character table — Group #248685

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222222444442444444444444444444444444444888888
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1
χ411111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-1111-11111-1-1111111-1-1-1-111-1-1-1-1-111-1-111-1-11-1
χ611111111111111-1-1111-11111-1-1111111-1-1-1-1-1-111-1-1-1-1-111-1-111-11
χ711111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111-1-11111-1-1-11
χ811111111111111-1-1111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-1111-1
χ911111111-1-1-1-11111111111-1-11111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-111
χ1011111111-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ1111111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-1111111-1-1-1-1-1-1
χ1211111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ1311111111-1-1-1-111-1-1111-111-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-111-1-1111-1
χ1411111111-1-1-1-111-1-1111-111-1-1-1-111-1-1-1-1-1-111-1-111-11111-1-111-1-1-11
χ1511111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-11111111111-1-11-1-111-1-1-1-111-11
χ1611111111-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-111111111-1-1111-1-1-1-11111-1-11-1
χ17222222222222-2-2222-2-2-200-2-22-2000000002-200000000000000000
χ18222222222222-2-2-2-22-2-2200-2-2-2200000000-2200000000000000000
χ1922222222-2-2-2-2-2-2222-2-2-200222-200000000-2200000000000000000
χ2022222222-2-2-2-2-2-2-2-22-2-220022-22000000002-200000000000000000
χ21222222-2-200002222-2-2-220000-2-20022-2-20000000002-20000000000
χ22222222-2-200002222-2-2-220000-2-200-2-222000000000-220000000000
χ23222222-2-2000022-2-2-2-2-2-20000220022-2-2000000000-220000000000
χ24222222-2-2000022-2-2-2-2-2-200002200-2-2220000000002-20000000000
χ25222222-2-20000-2-222-222-22200-22-2-20000-2-20000002000000000000
χ26222222-2-20000-2-222-222-2-2-200-2222000022000000-2000000000000
χ27222222-2-20000-2-2-2-2-222222002-2-2-2000022000000-2000000000000
χ28222222-2-20000-2-2-2-2-2222-2-2002-2220000-2-20000002000000000000
χ292222-2-22222-2-22-200-22-20002-2000000000000002-20000000002-200
χ302222-2-22222-2-22-200-22-20002-200000000000000-22000000000-2200
χ312222-2-22222-2-2-2200-2-22000-220000000000002-20000000002-20000
χ322222-2-22222-2-2-2200-2-22000-22000000000000-22000000000-220000
χ332222-2-222-2-2222-200-22-2000-22000000000000002-2000000000-2200
χ342222-2-222-2-2222-200-22-2000-2200000000000000-220000000002-200
χ352222-2-222-2-222-2200-2-220002-20000000000002-2000000000-220000
χ362222-2-222-2-222-2200-2-220002-2000000000000-220000000002-20000
χ374444-4-4-4-400004-4004-440000000000000000000000000000000000
χ384444-4-4-4-40000-440044-40000000000000000000000000000000000
χ3944-4-44-4000000004-40000000000000000000000000002-22-2000000
χ4044-4-44-4000000004-4000000000000000000000000000-22-22000000
χ4144-4-44-400000000-440000000000000000000000000002-2-22000000
χ4244-4-44-400000000-44000000000000000000000000000-222-2000000
χ434-44-4004-4004-4000000002i−2i00002i−2i2i−2i2i−2i000000000000000000000
χ444-44-4004-4004-400000000−2i2i0000−2i2i−2i2i−2i2i000000000000000000000
χ454-44-4004-400-44000000002i−2i00002i−2i−2i2i−2i2i000000000000000000000
χ464-44-4004-400-4400000000−2i2i0000−2i2i2i−2i2i−2i000000000000000000000
χ474-44-400-444-400000000002i−2i0000−2i2i2i−2i−2i2i000000000000000000000
χ484-44-400-444-40000000000−2i2i00002i−2i−2i2i2i−2i000000000000000000000
χ494-44-400-44-4400000000002i−2i0000−2i2i−2i2i2i−2i000000000000000000000
χ504-44-400-44-440000000000−2i2i00002i−2i2i−2i−2i2i000000000000000000000
χ5188-8-8-8800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004i−4i0000000000000000000
χ538-8-880000000000000000000000000000−4i4i0000000000000000000

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