Finite Group Databasebeta

← Group #303356

Character table — Group #303356

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444422244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1111111111-1-1-11-1-111-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111-1-11111111111-1-1-11-1-1-1-1-11-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-111111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-111111111-111-1-111-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111111-1-1-1-1
χ91111111111111-1-1-1-1-1-11111111-1-1-1111111-1-1-1-111-1-1-11-111-1-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-11111111-1-1-111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1-111
χ111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-111-1-111
χ121111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1-111-1-1
χ131111111111111-1-1-1-1-1-1111-1-111-111111111-1-1-1-1-1-11-11-11-1-1-11111-1-1-1-111
χ141111111111111-1-1-1-1-1-1111-1-111-11111-1-1-1-11111-1-11-11-1111-1-1-1-1-11111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-11-1111-1-1-1111-1-11111-1-1
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-11-1111-1111-1-111-1-1-1-111
χ17222222222222-222-2-2-2-2-2-2-222002220000000000-2000-2000000000000000
χ18222222222222-222-2-2-2-2-2-2-2-2-2002-2-2000000000020002000000000000000
χ19222222222222-2-2-22222-2-2-22200-2-2-20000000000-20002000000000000000
χ20222222222222-2-2-22222-2-2-2-2-200-22200000000002000-2000000000000000
χ2122222222-2-2-2-222222-2-2-2-220022-200-2-200000000000200000-20000000000
χ2222222222-2-2-2-222222-2-2-2-2200-2-2-2002200000000000-20000020000000000
χ2322222222-2-2-2-22-2-2-2-222-2-220022200-2-200000000000-20000020000000000
χ2422222222-2-2-2-22-2-2-2-222-2-2200-2-22002200000000000200000-20000000000
χ2522222222-2-2-2-2-222-2-22222-20000-200000000000002-200-220000000000000
χ2622222222-2-2-2-2-222-2-22222-20000-20000000000000-22002-20000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-20000200000000000002200-2-20000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-2000020000000000000-2-200220000000000000
χ292-2-2222-2-22-22-220000002-2-2002-20002-200002i2i−2i−2i000000000000002i−2i0000
χ302-2-2222-2-22-22-220000002-2-2002-20002-20000−2i−2i2i2i00000000000000−2i2i0000
χ312-2-2222-2-22-22-220000002-2-200-22000-2200002i2i−2i−2i00000000000000−2i2i0000
χ322-2-2222-2-22-22-220000002-2-200-22000-220000−2i−2i2i2i000000000000002i−2i0000
χ332-2-2222-2-2-22-222000000-22-2002-2000-222i2i−2i−2i00000000000000002i−2i000000
χ342-2-2222-2-2-22-222000000-22-2002-2000-22−2i−2i2i2i0000000000000000−2i2i000000
χ352-2-2222-2-2-22-222000000-22-200-220002-22i2i−2i−2i0000000000000000−2i2i000000
χ362-2-2222-2-2-22-222000000-22-200-220002-2−2i−2i2i2i00000000000000002i−2i000000
χ3744-44-4-4-44000004i−4i00000000000000002i−2i2i−2i2-22-200000000000000000000
χ3844-44-4-4-44000004i−4i0000000000000000−2i2i−2i2i-22-2200000000000000000000
χ3944-44-4-4-4400000−4i4i00000000000000002i−2i2i−2i-22-2200000000000000000000
χ4044-44-4-4-4400000−4i4i0000000000000000−2i2i−2i2i2-22-200000000000000000000
χ4144-4-44-44-44-4-4400000000004i−4i00000000000000000000000000000000000
χ4244-4-44-44-44-4-440000000000−4i4i00000000000000000000000000000000000
χ4344-4-44-44-4-444-40000000000000004i−4i000000000000000000000000000000
χ4444-4-44-44-4-444-4000000000000000−4i4i000000000000000000000000000000
χ454-444-4-44-40000000004i−4i0000000000002-2-222i−2i−2i2i00000000000000000000
χ464-444-4-44-40000000004i−4i000000000000-222-2−2i2i2i−2i00000000000000000000
χ474-444-4-44-4000000000−4i4i0000000000002-2-22−2i2i2i−2i00000000000000000000
χ484-444-4-44-4000000000−4i4i000000000000-222-22i−2i−2i2i00000000000000000000
χ494-44-44-4-4444-4-40000000000000000000000000000000000000000000002i2−2i2
χ504-44-44-4-4444-4-4000000000000000000000000000000000000000000000−2i22i2
χ514-44-44-4-44-4-444000000000000000000000000000000000000000000022−2200
χ524-44-44-4-44-4-4440000000000000000000000000000000000000000000−222200
χ534-4-4444-4-44-44-4-4000000-4440000000000000000000000000000000000000
χ544-4-4444-4-4-44-44-40000004-440000000000000000000000000000000000000
χ554-4-4-4-444400000004-4000000000000000000000000000002-202-200000000
χ564-4-4-4-444400000004-400000000000000000000000000000-220-2200000000
χ574-4-4-4-44440000000-44000000000000000000000000000002-20-2200000000
χ584-4-4-4-44440000000-4400000000000000000000000000000-2202-200000000
χ59888-8-88-8-8000000000000000000000000000000000000000000000000000

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