Finite Group Databasebeta

← Group #248708

Character table — Group #248708

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222244444442222444444444442444444444444888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1111-1-111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1
χ41111111111111111111-1-1-1-1111-1-111-1-1-1-11-1-11-1-1-1-1-11111-1-1-1-111
χ51111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-111-11111-11111-1-1-1-1-1-1
χ61111111111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111
χ71111111111111-1-1-1-111-1-1-1-11-1-111111111-111-111-1-11-1-1-1-1-1-1-1-111
χ81111111111111-1-1-1-111-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1111111111-1-1
χ911111111-1-11111111111111-11111-1-111-1-1-11-1-11-1-1-1-111-1-111-1-11-1
χ1011111111-1-11111111111111-11111-1-111-1-1-1-11-1-11-1-1-1-1-111-1-111-11
χ1111111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-111-11-1-11-1111-1-11111-1-1-11
χ1211111111-1-1111111111-1-1-1-1-111-1-1-1-1-1-111-1-11-1-1111111-1-1-1-1111-1
χ1311111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111-111-1-1-1111-1-1-1-111-11
χ1411111111-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-111-11-1-11-1-11111-1-11-1
χ1511111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-111-111-111-1-1-111-1-1111-1
χ1611111111-1-1111-1-1-1-111-1-1-1-1-1-1-111-1-111-1-11-111-1111-111-1-111-1-1-11
χ172222222222-2-222222-2-20000-2-2-2002-20000-2002000000000000000
χ182222222222-2-22-2-2-2-2-2-20000-222002-20000200-2000000000000000
χ1922222222-2-2-2-222222-2-200002-2-200-220000200-2000000000000000
χ2022222222-2-2-2-22-2-2-2-2-2-2000022200-220000-2002000000000000000
χ21222222-2-22222-20000-2-222-2-220000-2-200000000002-200000000000
χ22222222-2-22222-20000-2-2-2-22220000-2-20000000000-2200000000000
χ23222222-2-222-2-2-20000220000-20022-22-2-2-2-20000000020000000000
χ24222222-2-222-2-2-20000220000-200-2-2-22222200000000-20000000000
χ25222222-2-2-2-222-20000-2-222-2-2-20000220000000000-2200000000000
χ26222222-2-2-2-222-20000-2-2-2-222-200002200000000002-200000000000
χ27222222-2-2-2-2-2-2-20000220000200222-2-2-22200000000-20000000000
χ28222222-2-2-2-2-2-2-20000220000200-2-22-222-2-20000000020000000000
χ292222-2-222002-2-222-2-22-2000002-20000000000200-20000000002-200
χ302222-2-222002-2-222-2-22-2000002-20000000000-2002000000000-2200
χ312222-2-222002-2-2-2-2222-200000-220000000000200-2000000000-2200
χ322222-2-222002-2-2-2-2222-200000-220000000000-20020000000002-200
χ332222-2-22200-22-222-2-2-2200000-22000000000200-2000000002-20000
χ342222-2-22200-22-222-2-2-2200000-22000000000-200200000000-220000
χ352222-2-22200-22-2-2-222-22000002-2000000000200-200000000-220000
χ362222-2-22200-22-2-2-222-22000002-2000000000-2002000000002-20000
χ374444-4-4-4-4004-440000-440000000000000000000000000000000000
χ384444-4-4-4-400-44400004-40000000000000000000000000000000000
χ3944-4-4-44004-40000000000000000000000000000000002i−2i2i−2i000000
χ4044-4-4-44004-4000000000000000000000000000000000−2i2i−2i2i000000
χ4144-4-4-4400-440000000000000000000000000000000002i−2i−2i2i000000
χ4244-4-4-4400-44000000000000000000000000000000000−2i2i2i−2i000000
χ434-44-4004-400000004i−4i002-22-20002i−2i002i−2i000000000000000000000
χ444-44-4004-400000004i−4i00-22-22000−2i2i00−2i2i000000000000000000000
χ454-44-4004-40000000−4i4i002-22-2000−2i2i00−2i2i000000000000000000000
χ464-44-4004-40000000−4i4i00-22-220002i−2i002i−2i000000000000000000000
χ474-44-400-44000004i−4i00002-2-220002i−2i00−2i2i000000000000000000000
χ484-44-400-44000004i−4i0000-222-2000−2i2i002i−2i000000000000000000000
χ494-44-400-4400000−4i4i00002-2-22000−2i2i002i−2i000000000000000000000
χ504-44-400-4400000−4i4i0000-222-20002i−2i00−2i2i000000000000000000000
χ5188-8-88-800000000000000000000000000000000000000000000000
χ528-8-8800000000000000000000000000004-40000000000000000000
χ538-8-880000000000000000000000000000-440000000000000000000

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