Finite Group Databasebeta

← Group #261407

Character table — Group #261407

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444442222444444444444422444444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-111111111-1-11-11-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1111-1-11111111111-1-1-11-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ9111111111111-1-1-1-11-1-11111111-1-1-1111111-1-1-1-11-11-1-1-11-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-11111111-1-1-111-1-1-1-111111-11-1-1-11-1-1-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-11111-1-1-1-1-1111-11-1111-1-1-1-111-1-111
χ12111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1111-11-11-1-11111-1-111-1-1
χ13111111111111-1-1-1-11-1-1111-1-111-111111111-1-1-1-1-11-1-11-1-11-1-11111-1-1-1-111
χ14111111111111-1-1-1-11-1-1111-1-111-11111-1-1-1-11111-11-1-11-1-1111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-11-1-11111-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-111111-1-11111-111-1-111-1-1-1-111
χ172222222222222222-2-2-2-2-2-22200-2-2-2000000000000-202000000000000000
χ182222222222222222-2-2-2-2-2-2-2-200-22200000000000020-2000000000000000
χ19222222222222-2-2-2-2-222-2-2-22200222000000000000-20-2000000000000000
χ20222222222222-2-2-2-2-222-2-2-2-2-2002-2-2000000000000202000000000000000
χ2122222222-2-2-2-222-2-2222-2-220000-20000000000002-20000-22000000000000
χ2222222222-2-2-2-222-2-2222-2-220000-2000000000000-2200002-2000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-20022200-2-20000000000020-200000000000000
χ2422222222-2-2-2-222-2-2-2-2-222-200-2-22002200000000000-20200000000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-2200002000000000000220000-2-2000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-2200002000000000000-2-2000022000000000000
χ2722222222-2-2-2-2-2-222-22222-20022-200-2-200000000000-20200000000000000
χ2822222222-2-2-2-2-2-222-22222-200-2-2-200220000000000020-200000000000000
χ292-22-2-222-222-2-200002002-2-2002-20002-200002i2i−2i−2i000000000000002i−2i0000
χ302-22-2-222-222-2-200002002-2-2002-20002-20000−2i−2i2i2i00000000000000−2i2i0000
χ312-22-2-222-222-2-200002002-2-200-22000-2200002i2i−2i−2i00000000000000−2i2i0000
χ322-22-2-222-222-2-200002002-2-200-22000-220000−2i−2i2i2i000000000000002i−2i0000
χ332-22-2-222-2-2-2220000-2002-22002-2000-2222-2-200000000000000002-2000000
χ342-22-2-222-2-2-2220000-2002-22002-2000-22-2-2220000000000000000-22000000
χ352-22-2-222-2-2-2220000-2002-2200-220002-222-2-20000000000000000-22000000
χ362-22-2-222-2-2-2220000-2002-2200-220002-2-2-22200000000000000002-2000000
χ37444-4-4-4-4400004i−4i0000000000000000000000000000000002i−2i2-200000000
χ38444-4-4-4-4400004i−4i000000000000000000000000000000000−2i2i-2200000000
χ39444-4-4-4-440000−4i4i0000000000000000000000000000000002i−2i-2200000000
χ40444-4-4-4-440000−4i4i000000000000000000000000000000000−2i2i2-200000000
χ4144-44-44-4-40000000004i−4i0000000000002-22-22i−2i2i−2i00000000000000000000
χ4244-44-44-4-40000000004i−4i000000000000-22-22−2i2i−2i2i00000000000000000000
χ4344-44-44-4-4000000000−4i4i0000000000002-22-2−2i2i−2i2i00000000000000000000
χ4444-44-44-4-4000000000−4i4i000000000000-22-222i−2i2i−2i00000000000000000000
χ4544-4-44-44-44-44-40000000000000000000000000000000000000000000002i2−2i2
χ4644-4-44-44-44-44-4000000000000000000000000000000000000000000000−2i22i2
χ4744-4-44-44-4-44-4400000000000000000000000000000000000000000002i2−2i200
χ4844-4-44-44-4-44-440000000000000000000000000000000000000000000−2i22i200
χ494-44-4-444-444-4-40000-400-4440000000000000000000000000000000000000
χ504-44-4-444-4-4-4440000400-44-40000000000000000000000000000000000000
χ514-4-44-4-4444-4-4400000000004-400000000000000000000000000000000000
χ524-4-44-4-4444-4-440000000000-4400000000000000000000000000000000000
χ534-4-44-4-444-444-40000000000000004-4000000000000000000000000000000
χ544-4-44-4-444-444-4000000000000000-44000000000000000000000000000000
χ554-4-4-444-440000004-40000000000000002-2-222-2-2200000000000000000000
χ564-4-4-444-440000004-4000000000000000-222-2-222-200000000000000000000
χ574-4-4-444-44000000-440000000000000002-2-22-222-200000000000000000000
χ584-4-4-444-44000000-44000000000000000-222-22-2-2200000000000000000000
χ598-8888-8-8-8000000000000000000000000000000000000000000000000000

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