Finite Group Databasebeta

← Group #246155

Character table — Group #246155

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222444444444444422244444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1111-1-111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1111-1-1111111-11-1-1-1-11-1-1-1-1-1-1-1-1-11111
χ411111111111111111111111111-1-1-1-11-1-1-1-11111-1-111-11-11-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1111-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-11-1-1-1-11-111111111-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111-11-111111-1-1-1-11111
χ91111111111111-1-1-1-1-1-111111111111-1-1-111-1-1-1-1-1-1-1111-1-111-1-111-1-111-1-1
χ101111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111-11-11111-1-1-1-111-1-111
χ111111111111111-1-1-1-1-1-11111111-1-111-11111-1-1-1-11-11-1-1-1-11-1-111-1-11111-1-1
χ121111111111111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-111-11-111-1-1-11111-1-1-1-111
χ131111111111111-1-1-1-1-1-1111-1-1-1-11111-1-1-1111111-1-1-1111-1-1-1-111-1-111-1-111
χ141111111111111-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11111-111-11-111-1-11111-1-111-1-1
χ151111111111111-1-1-1-1-1-1111-1-1-1-1-1-111-1111111111-11-1-1-1-1111-1-111-1-1-1-111
χ161111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1111111-11-111-111-1-1-1-11111-1-1
χ17222222222222-222-2-2-2-2-2-2-200002200222000000-2000-2000000000000000
χ18222222222222-222-2-2-2-2-2-2-20000-2-2002-2-200000020002000000000000000
χ19222222222222-2-2-22222-2-2-200002200-2-2-20000002000-2000000000000000
χ20222222222222-2-2-22222-2-2-20000-2-200-222000000-20002000000000000000
χ2122222222-2-2-2-222222-2-2-2-2200000022-200-2-200000-2000020000000000000
χ2222222222-2-2-2-222222-2-2-2-22000000-2-2-200220000020000-20000000000000
χ2322222222-2-2-2-22-2-2-2-222-2-2200000022200-2-20000020000-20000000000000
χ2422222222-2-2-2-22-2-2-2-222-2-22000000-2-22002200000-2000020000000000000
χ2522222222-2-2-2-2-222-2-22222-200000000-200000000002-2020-2000000000000
χ2622222222-2-2-2-2-222-2-22222-200000000-20000000000-220-202000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-20000000020000000000220-20-2000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-20000000020000000000-2-20202000000000000
χ292-2-2-22-2222-22-2-20000002-220000002-20002-222-2-20000000000000000002-2
χ302-2-2-22-2222-22-2-20000002-220000002-20002-2-2-222000000000000000000-22
χ312-2-2-22-2222-22-2-20000002-22000000-22000-2222-2-2000000000000000000-22
χ322-2-2-22-2222-22-2-20000002-22000000-22000-22-2-2220000000000000000002-2
χ332-2-2-22-222-22-22-2000000-22222-2-2002-2000-22000000000000000000002-200
χ342-2-2-22-222-22-22-2000000-22222-2-200-220002-200000000000000000000-2200
χ352-2-2-22-222-22-22-2000000-222-2-222002-2000-2200000000000000000000-2200
χ362-2-2-22-222-22-22-2000000-222-2-22200-220002-2000000000000000000002-200
χ37444-4-4-44-40000000004i−4i00000000000000000000000000002i−2i2-200000000
χ38444-4-4-44-40000000004i−4i0000000000000000000000000000−2i2i-2200000000
χ39444-4-4-44-4000000000−4i4i00000000000000000000000000002i−2i-2200000000
χ40444-4-4-44-4000000000−4i4i0000000000000000000000000000−2i2i2-200000000
χ4144-44-4-4-4444-4-400000000000000000004i−4i00000000000000000000000000
χ4244-44-4-4-4444-4-40000000000000000000−4i4i00000000000000000000000000
χ4344-44-4-4-44-4-444000000000000004-40000000000000000000000000000000
χ4444-44-4-4-44-4-44400000000000000-440000000000000000000000000000000
χ4544-4-444-4-400000004i−4i000002-22-20000000002i−2i2i−2i00000000000000000000
χ4644-4-444-4-400000004i−4i00000-22-22000000000−2i2i−2i2i00000000000000000000
χ4744-4-444-4-40000000−4i4i000002-22-2000000000−2i2i−2i2i00000000000000000000
χ4844-4-444-4-40000000−4i4i00000-22-220000000002i−2i2i−2i00000000000000000000
χ494-4444-4-4-4000004i−4i00000002-2-220000000002i−2i−2i2i00000000000000000000
χ504-4444-4-4-4000004i−4i0000000-222-2000000000−2i2i2i−2i00000000000000000000
χ514-4444-4-4-400000−4i4i00000002-2-22000000000−2i2i2i−2i00000000000000000000
χ524-4444-4-4-400000−4i4i0000000-222-20000000002i−2i−2i2i00000000000000000000
χ534-44-4-44-444-4-4400000000000000000000000000000000000000022−22000000
χ544-44-4-44-444-4-44000000000000000000000000000000000000000−2222000000
χ554-44-4-44-44-444-40000000000000000000000000000000000000000022−220000
χ564-44-4-44-44-444-400000000000000000000000000000000000000000−22220000
χ574-4-4-44-4444-44-44000000-44-40000000000000000000000000000000000000
χ584-4-4-44-444-44-4440000004-4-40000000000000000000000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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