Finite Group Databasebeta

← Group #285531

Character table — Group #285531

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244444488888888888888816161616161616161616161616161616323232
order12224444442224444448888888888882222448888888888488
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111111-1-1-11-11-11111-1-1-1-1-1-1-1
χ3111111111111111111111-1-11111-1-1-1-1-1111-11-11-111-111-1-1-1-1-1
χ4111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111111
χ51111111111111111111-1-111-1-1111111-1-1-1-1-1-1-11-1-1-111111-1-11
χ61111111111111111111-1-111-1-1-1-11111-1111-11-1-1-1-1-11-1-1-1-111-1
χ71111111111111111111-1-1-1-1-1-111-1-1-1-11-1-1-11-1111-1-1-111-1-111-1
χ81111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-111-1-11
χ911111111111-1-1111-1-1-111111111-1-1-1-111-1-111-11-1-1-11-1-1-1-11-11
χ1011111111111-1-1111-1-1-1111111-1-1-1-1-1-11-1111-1-1-1-1-1-111111-11-1
χ1111111111111-1-1111-1-1-111-1-111111111-11-1-1-11111-1-1-1-1-111-11-1
χ1211111111111-1-1111-1-1-111-1-111-1-11111-1-111-1-11-11-1-1-111-1-11-11
χ1311111111111-1-1111-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-111
χ1411111111111-1-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1111111111-1-1
χ1511111111111-1-1111-1-1-1-1-1-1-1-1-11111111-1111-1-11-111-1-1-1111-1-1
χ1611111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-111-111-1-1-111
χ17222222-22-22-222-2-222-2-20000000000002000-20-2020000000000
χ18222222-22-22-222-2-222-2-2000000000000-20002020-20000000000
χ19222222-22-22-2-2-2-2-22-2220000000000002000-2020-20000000000
χ20222222-22-22-2-2-2-2-22-222000000000000-200020-2020000000000
χ2122222-22-222-2002-2-20002200-2-22200000-200020-200000000000
χ2222222-22-222-2002-2-20002200-2-2-2-2000002000-20200000000000
χ2322222-22-222-2002-2-2000-2-2002222000002000-20-200000000000
χ2422222-22-222-2002-2-2000-2-20022-2-200000-200020200000000000
χ252222-22222-2-222-22-2-22-20022000022-2-200000000000-20000000
χ262222-22222-2-222-22-2-22-200-2-20000-2-2220000000000020000000
χ272222-22222-2-2-2-2-22-22-2200220000-2-22200000000000-20000000
χ282222-22222-2-2-2-2-22-22-2200-2-2000022-2-20000000000020000000
χ292222-22-22-2-22222-2-2-2-222i−2i002i−2i0000000000000002i−2i00000000
χ302222-22-22-2-22222-2-2-2-22−2i2i00−2i2i000000000000000−2i2i00000000
χ312222-22-22-2-22-2-22-2-222-22i−2i002i−2i000000000000000−2i2i00000000
χ322222-22-22-2-22-2-22-2-222-2−2i2i00−2i2i0000000000000002i−2i00000000
χ332222-2-2-2-2-2-2-2002220002i−2i00−2i2i000000002-2000000002i−2i00000
χ342222-2-2-2-2-2-2-2002220002i−2i00−2i2i00000000-2200000000−2i2i00000
χ352222-2-2-2-2-2-2-200222000−2i2i002i−2i000000002-200000000−2i2i00000
χ362222-2-2-2-2-2-2-200222000−2i2i002i−2i00000000-22000000002i−2i00000
χ3744444-4-4-4-44400-44-40000000000000000000000000000000000
χ384444-4-44-44-4400-4-440000000000000000000000000000000000
χ394-44-40040-400000000000000002i2−2i2002i2−2i2000000000000002-2000
χ404-44-40040-400000000000000002i2−2i200−2i22i200000000000000-22000
χ414-44-40040-40000000000000000−2i22i2002i2−2i200000000000000-22000
χ424-44-40040-40000000000000000−2i22i200−2i22i2000000000000002-2000
χ434-4-440-4040004-40000000022−22000022−22000000000000000000000
χ444-4-440-4040004-400000000−22220000−2222000000000000000000000
χ454-4-440-404000-440000000022−220000−2222000000000000000000000
χ464-4-440-404000-4400000000−2222000022−22000000000000000000000
χ4788-8-880000-80000000000000000000000000000000000000000
χ4888-8-8-8000080000000000000000000000000000000000000000
χ498-88-800-80800000000000000000000000000000000000000000
χ508-8-88080-8000000000000000000000000000000000000000000

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