Finite Group Databasebeta

← Group #297455

Character table — Group #297455

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222224444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-111111111-1-1-111-111-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111111111111-1-11-1-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-1-1-1111111-1-111-1111111-1-1-1-11-1-11-1-1111-1-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-1111111-1-111-111-1-1-1-111111-1-11-1-1-1-11-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1111-1111-11-1-1-1-111-1-111
χ12111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11111-1111-11-1-1-111111-1-111-1-1
χ13111111111111-1-1-1-1-1-11111-1-11111-1111111-1-1-1-1-11-1-11-1-1-1-111111-1-1-1-111
χ14111111111111-1-1-1-1-1-11111-1-11111-111-1-1-1-11111-11-1-11-111-11-1-1-1-11111-1-1
χ15111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-11-11-111-1-11-111-1-11111-1-1
χ16111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111-11-111111-1-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-222-2-200-20000000000000-22000000000000000
χ182222222222222222-2-2-2-2-2-2-2-22200-200000000000002-2000000000000000
χ19222222222222-2-2-2-222-2-2-2-222220020000000000000-2-2000000000000000
χ20222222222222-2-2-2-222-2-2-2-2-2-2-2-2002000000000000022000000000000000
χ2122222222-2-2-2-222-2-2222-2-22000022-2-2-20000000000-200200000000000000
χ2222222222-2-2-2-222-2-2222-2-220000-2-2-2220000000000200-200000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-2000000200000000002-2000000-220000000000
χ2422222222-2-2-2-222-2-2-2-2-222-200000020000000000-220000002-20000000000
χ2522222222-2-2-2-2-2-22222-222-2000000-2000000000022000000-2-20000000000
χ2622222222-2-2-2-2-2-22222-222-2000000-20000000000-2-2000000220000000000
χ2722222222-2-2-2-2-2-222-2-22-2-220000222-2-20000000000200-200000000000000
χ2822222222-2-2-2-2-2-222-2-22-2-220000-2-22220000000000-200200000000000000
χ292-2-2-22-2222-22-2000000-22-2200002-202-2000022-2-2000000000000002-20000
χ302-2-2-22-2222-22-2000000-22-2200002-202-20000-2-22200000000000000-220000
χ312-2-2-22-2222-22-2000000-22-220000-220-22000022-2-200000000000000-220000
χ322-2-2-22-2222-22-2000000-22-220000-220-220000-2-222000000000000002-20000
χ332-2-2-22-222-22-22000000-2-22200002-20-2222-2-200000000000000002-2000000
χ342-2-2-22-222-22-22000000-2-22200002-20-22-2-2220000000000000000-22000000
χ352-2-2-22-222-22-22000000-2-2220000-2202-222-2-20000000000000000-22000000
χ362-2-2-22-222-22-22000000-2-2220000-2202-2-2-22200000000000000002-2000000
χ37444-4-4-44-400004i−4i00000000000000000000000000000002-2002i−2i00000000
χ38444-4-4-44-400004i−4i0000000000000000000000000000000-2200−2i2i00000000
χ39444-4-4-44-40000−4i4i00000000000000000000000000000002-200−2i2i00000000
χ40444-4-4-44-40000−4i4i0000000000000000000000000000000-22002i−2i00000000
χ4144-44-4-4-4444-4-400000000000000000000000000000000000000000002i2−2i200
χ4244-44-4-4-4444-4-40000000000000000000000000000000000000000000−2i22i200
χ4344-44-4-4-44-4-44400000000000000000000000000000000000000000000022−22
χ4444-44-4-4-44-4-444000000000000000000000000000000000000000000000−2222
χ4544-4-444-4-4000000004-400000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ4644-4-444-4-4000000004-40000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ4744-4-444-4-400000000-4400000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ4844-4-444-4-400000000-440000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ494-4444-4-4-40000004-40000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ504-4444-4-4-40000004-4000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ514-4444-4-4-4000000-440000000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000
χ524-4444-4-4-4000000-44000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ534-44-4-44-444-4-440000000000004-4000000000000000000000000000000000
χ544-44-4-44-444-4-44000000000000-44000000000000000000000000000000000
χ554-44-4-44-44-444-400000000004-400000000000000000000000000000000000
χ564-44-4-44-44-444-40000000000-4400000000000000000000000000000000000
χ574-4-4-44-4444-44-40000004-44-40000000000000000000000000000000000000
χ584-4-4-44-444-44-4400000044-4-40000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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