Finite Group Databasebeta

← Group #246146

Character table — Group #246146

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442244444444444444424444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111111111-1-1-1-1
χ51111111111111111111111-1-1111-1-11111111111-11-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11-1-1-1-1-11-1-1-1-111111111
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111-111-11-1-1-1-1-1-11111-1-1-1-1
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-111-11-1-11111-1-1-1-11111
χ9111111111111-1-1-1-1-1-111111111-111-1-11111-1-1-1-1-1111-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1-1-111111111-111-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-111-1-111
χ11111111111111-1-1-1-1-1-1111111-1-1-111111111-1-1-1-11-1-1-1-11-11-1-111-1-11111-1-1
χ12111111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-111111-1-1-1-11-1111-1-111-1-1-1-111
χ13111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1-1-1-111-1-1111-111-1-1-1-111-1-111
χ14111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-11111-1-111-1-1
χ15111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-11111-1-1-1-111
χ16111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-1111-11111-1-1-1-11111-1-1
χ172222222222222222-2-2-2-2-2-20022-200-2-2000000000-2000002000000000000
χ182222222222222222-2-2-2-2-2-200-2-2-20022000000000200000-2000000000000
χ19222222222222-2-2-2-222-2-2-2-2002220022000000000-200000-2000000000000
χ20222222222222-2-2-2-222-2-2-2-200-2-2200-2-20000000002000002000000000000
χ2122222222-2-2-2-222-2-2222-2-222200-2-2-20000000000000020-20000000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-200-22200000000000000-2020000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-20000200000000000020-220-200000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-200002000000000000-202-20200000000000000
χ2522222222-2-2-2-2-2-22222-222-20000-2000000000000202-20-200000000000000
χ2622222222-2-2-2-2-2-22222-222-20000-2000000000000-20-220200000000000000
χ2722222222-2-2-2-2-2-222-2-22-2-2222002-2-200000000000000-2020000000000000
χ2822222222-2-2-2-2-2-222-2-22-2-22-2-2002220000000000000020-20000000000000
χ292-2-2-2-22222-22-2000000-22-222-20002-200000022-2-20000000000000000002-2
χ302-2-2-2-22222-22-2000000-22-222-20002-2000000-2-222000000000000000000-22
χ312-2-2-2-22222-22-2000000-22-22-22000-2200000022-2-2000000000000000000-22
χ322-2-2-2-22222-22-2000000-22-22-22000-22000000-2-2220000000000000000002-2
χ332-2-2-2-2222-22-22000000-2-2222-2000-220022-2-2000000000000000000002-200
χ342-2-2-2-2222-22-22000000-2-2222-2000-2200-2-22200000000000000000000-2200
χ352-2-2-2-2222-22-22000000-2-222-220002-20022-2-200000000000000000000-2200
χ362-2-2-2-2222-22-22000000-2-222-220002-200-2-222000000000000000000002-200
χ37444-4-44-4-444-4-4000000000000000004-40000000000000000000000000000
χ38444-4-44-4-444-4-400000000000000000-440000000000000000000000000000
χ39444-4-44-4-4-4-4440000000000004i−4i000000000000000000000000000000000
χ40444-4-44-4-4-4-444000000000000−4i4i000000000000000000000000000000000
χ4144-4-44-4-44000000004i−4i00000000000002i−2i2i−2i2-22-200000000000000000000
χ4244-4-44-4-44000000004i−4i0000000000000−2i2i−2i2i-22-2200000000000000000000
χ4344-4-44-4-4400000000−4i4i00000000000002i−2i2i−2i-22-2200000000000000000000
χ4444-4-44-4-4400000000−4i4i0000000000000−2i2i−2i2i2-22-200000000000000000000
χ454-444-4-4-4400004i−4i000000000000000002i−2i−2i2i2-2-2200000000000000000000
χ464-444-4-4-4400004i−4i00000000000000000−2i2i2i−2i-222-200000000000000000000
χ474-444-4-4-440000−4i4i000000000000000002i−2i−2i2i-222-200000000000000000000
χ484-444-4-4-440000−4i4i00000000000000000−2i2i2i−2i2-2-2200000000000000000000
χ494-44-44-44-40000004i−4i00000000000000000000000000000002-22i−2i00000000
χ504-44-44-44-40000004i−4i0000000000000000000000000000000-22−2i2i00000000
χ514-44-44-44-4000000−4i4i00000000000000000000000000000002-2−2i2i00000000
χ524-44-44-44-4000000−4i4i0000000000000000000000000000000-222i−2i00000000
χ534-4-4444-4-44-4-440000000000000000000000000000000000000002i2−2i2000000
χ544-4-4444-4-44-4-44000000000000000000000000000000000000000−2i22i2000000
χ554-4-4444-4-4-444-4000000000000000000000000000000000000000002i2−2i20000
χ564-4-4444-4-4-444-400000000000000000000000000000000000000000−2i22i20000
χ574-4-4-4-44444-44-40000004-44-40000000000000000000000000000000000000
χ584-4-4-4-4444-44-4400000044-4-40000000000000000000000000000000000000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000

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