Finite Group Databasebeta

← Group #246122

Character table — Group #246122

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222222444444442222222444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111-1-1-1-111111111-111-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-11-1111-1-1-1-11111-1-1-1-1
χ511111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11-1-1-111111111-1-1-1-1
χ711111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-11111
χ9111111111111-1-11-1-1-1-1111-11111111111-1-1-1-1-1-1-11-1-1-11-1111-1-111-1-111-1-1
χ10111111111111-1-11-1-1-1-1111-111111111-1-111-1-1-1-1-1-111-1-11-1-1-111-1-11111-1-1
χ11111111111111-1-11-1-1-1-1111-11111-1-1-1-111-1-1-1-1-1-111-111-11-111-1-1-1-111-1-111
χ12111111111111-1-11-1-1-1-1111-11111-1-1-1-1-1-111-1-1-1-11-11-111-11-1-11111-1-1-1-111
χ13111111111111-1-11-1-1-1-1111-1-1-1-1-1111111-1-11111-11-1-1-11-11-1-111-1-111-1-111
χ14111111111111-1-11-1-1-1-1111-1-1-1-1-11111-1-1111111-1-111-1-11-111-1-111-1-1-1-111
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1111111-111-11-1-1-11111-1-111-1-1
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111111-11-111-1111-1-1-1-11111-1-1
χ1722222222222222-2-2-2-2-2-2-2-2200000000222200000-2-200000000000000000
χ1822222222222222-2-2-2-2-2-2-2-2200000000-2-2-2-2000002200000000000000000
χ19222222222222-2-2-22222-2-2-2-20000000022-2-200000-2200000000000000000
χ20222222222222-2-2-22222-2-2-2-200000000-2-222000002-200000000000000000
χ2122222222-2-2-2-222222-2-2-2-22-2000022-2-2000000002000-2000000000000000
χ2222222222-2-2-2-222222-2-2-2-22-20000-2-22200000000-20002000000000000000
χ2322222222-2-2-2-222-2-2-22222-2-2000000000000000000020-2-22000000000000
χ2422222222-2-2-2-222-2-2-22222-2-20000000000000000000-2022-2000000000000
χ2522222222-2-2-2-2-2-22-2-222-2-222000022-2-200000000-20002000000000000000
χ2622222222-2-2-2-2-2-22-2-222-2-2220000-2-222000000002000-2000000000000000
χ2722222222-2-2-2-2-2-2-222-2-222-220000000000000000000202-2-2000000000000
χ2822222222-2-2-2-2-2-2-222-2-222-220000000000000000000-20-222000000000000
χ292-2-2-222-222-22-200-200002-22000002-22-2000022-2-20000000000000000002-2
χ302-2-2-222-222-22-200-200002-22000002-22-20000-2-222000000000000000000-22
χ312-2-2-222-222-22-200-200002-2200000-22-22000022-2-2000000000000000000-22
χ322-2-2-222-222-22-200-200002-2200000-22-220000-2-2220000000000000000002-2
χ332-2-2-222-22-22-2200-20000-222022-2-22-2-220000000000000000000000002-200
χ342-2-2-222-22-22-2200-20000-222022-2-2-222-2000000000000000000000000-2200
χ352-2-2-222-22-22-2200-20000-2220-2-2222-2-22000000000000000000000000-2200
χ362-2-2-222-22-22-2200-20000-2220-2-222-222-20000000000000000000000002-200
χ37444-44-4-4-40000000004i−4i00000000000000000000000000002-22i−2i00000000
χ38444-44-4-4-40000000004i−4i0000000000000000000000000000-22−2i2i00000000
χ39444-44-4-4-4000000000−4i4i00000000000000000000000000002-2−2i2i00000000
χ40444-44-4-4-4000000000−4i4i0000000000000000000000000000-222i−2i00000000
χ4144-44-44-4-44-4-440000000000000000000004i−4i000000000000000000000000
χ4244-44-44-4-44-4-44000000000000000000000−4i4i000000000000000000000000
χ4344-44-44-4-4-444-400000000000000000004i−4i00000000000000000000000000
χ4444-44-44-4-4-444-40000000000000000000−4i4i00000000000000000000000000
χ4544-4-4-4-44400000004-40000002-22-2000000002-22-200000000000000000000
χ4644-4-4-4-44400000004-4000000-22-2200000000-22-2200000000000000000000
χ4744-4-4-4-4440000000-440000002-22-200000000-22-2200000000000000000000
χ4844-4-4-4-4440000000-44000000-22-22000000002-22-200000000000000000000
χ494-444-4-4-4400004-40000000002-2-22000000002-2-2200000000000000000000
χ504-444-4-4-4400004-4000000000-222-200000000-222-200000000000000000000
χ514-444-4-4-440000-440000000002-2-2200000000-222-200000000000000000000
χ524-444-4-4-440000-44000000000-222-2000000002-2-2200000000000000000000
χ534-44-4-444-444-4-40000000000000000000000000000000000000002i2−2i2000000
χ544-44-4-444-444-4-4000000000000000000000000000000000000000−2i22i2000000
χ554-44-4-444-4-4-4440000000000000000000000000000000000000000022−220000
χ564-44-4-444-4-4-44400000000000000000000000000000000000000000−22220000
χ574-4-4-444-444-44-40040000-44-40000000000000000000000000000000000000
χ584-4-4-444-44-44-4400400004-4-40000000000000000000000000000000000000
χ598-8-888-88-8000000000000000000000000000000000000000000000000000

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