Finite Group Databasebeta

← Group #304463

Character table — Group #304463

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444448888888844444444444444448888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11111
χ51111111111111111111111-1-11-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1
χ71111111111111111111111-1-11-1-1-1-1-1-111111111-11111-1-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-111111111
χ9111111111111-1-1-1-11-1-111111-11111-1-11111-1-1-1-1-11-111-11-11-1-1-111-1-111-1-1
χ10111111111111-1-1-1-11-1-111111-11111-1-1-1-1-1-11111-11-1-1-1-11-11-111-1-111-1-111
χ11111111111111-1-1-1-11-1-111111-111-1-1111111-1-1-1-1-1-11-1-1-1-11-111111-1-1-1-111
χ12111111111111-1-1-1-11-1-111111-111-1-111-1-1-1-11111-1-1111-1-11-11-1-1-1-11111-1-1
χ13111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-11111-1-1-1-11-11-1-111-1-1111-1-11111-1-1
χ14111111111111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1-111111-111111-1-11-1-111-1-1-1-111
χ15111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-1111111-1-1-1-111-1111-111-1-1-1-1-111-1-111
χ16111111111111-1-1-1-11-1-1111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-11-111-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-200-200222200000000000000-2-2000000000000
χ182222222222222222-2-2-2-2-2-200-200-2-2-2-20000000000000022000000000000
χ19222222222222-2-2-2-2-222-2-2-20020022-2-200000000000000-22000000000000
χ20222222222222-2-2-2-2-222-2-2-200200-2-222000000000000002-2000000000000
χ2122222222-2-2-2-222-2-2222-2-2222-2-2-200000000000020000-200000000000000
χ2222222222-2-2-2-222-2-2222-2-22-2-2-222000000000000-20000200000000000000
χ2322222222-2-2-2-222-2-2-2-2-222-20020000000000000002200000-2-20000000000
χ2422222222-2-2-2-222-2-2-2-2-222-2002000000000000000-2-200000220000000000
χ2522222222-2-2-2-2-2-2222-2-2-2-22222-2-2000000000000-20000200000000000000
χ2622222222-2-2-2-2-2-2222-2-2-2-22-2-222200000000000020000-200000000000000
χ2722222222-2-2-2-2-2-222-22222-200-20000000000000002-200000-220000000000
χ2822222222-2-2-2-2-2-222-22222-200-2000000000000000-22000002-20000000000
χ2922-22-22-2-22-22-20000-2002-222-202-2000000002i2i−2i−2i000000000000002i−2i0000
χ3022-22-22-2-22-22-20000-2002-222-202-200000000−2i−2i2i2i00000000000000−2i2i0000
χ3122-22-22-2-22-22-20000-2002-22-220-22000000002i2i−2i−2i00000000000000−2i2i0000
χ3222-22-22-2-22-22-20000-2002-22-220-2200000000−2i−2i2i2i000000000000002i−2i0000
χ3322-22-22-2-2-22-220000-200-2222-20-2200002i2i−2i−2i00000000000000002i−2i000000
χ3422-22-22-2-2-22-220000-200-2222-20-220000−2i−2i2i2i0000000000000000−2i2i000000
χ3522-22-22-2-2-22-220000-200-222-2202-200002i2i−2i−2i0000000000000000−2i2i000000
χ3622-22-22-2-2-22-220000-200-222-2202-20000−2i−2i2i2i00000000000000002i−2i000000
χ3722-2-22-22-2-2-2222-22-2000000000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i200000000000000002−22−2
χ3822-2-22-22-2-2-2222-22-2000000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i20000000000000000−22−22
χ3922-2-22-22-2-2-2222-22-200000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i20000000000000000−22−22
χ4022-2-22-22-2-2-2222-22-200000000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200000000000000002−22−2
χ4122-2-22-22-2-2-222-22-22000000000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i200000000000000002−2−22
χ4222-2-22-22-2-2-222-22-22000000000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i20000000000000000−222−2
χ4322-2-22-22-2-2-222-22-2200000000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i20000000000000000−222−2
χ4422-2-22-22-2-2-222-22-2200000000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i200000000000000002−2−22
χ45444-4-4-4-444-4-44000000000000000000022−22−2222000000000000000000000000
χ46444-4-4-4-444-4-440000000000000000000−222222−22000000000000000000000000
χ47444-4-4-4-44-444-40000000000000000000000022−22−222200000000000000000000
χ48444-4-4-4-44-444-400000000000000000000000−222222−2200000000000000000000
χ4944-44-44-4-44-44-40000400-44-40000000000000000000000000000000000000
χ5044-44-44-4-4-44-4400004004-4-40000000000000000000000000000000000000
χ5144-4-44-44-444-4-44-4-440000000000000000000000000000000000000000000
χ5244-4-44-44-444-4-4-444-40000000000000000000000000000000000000000000
χ534-44-4-444-40000000004i−4i000000000000000000000002i−2i000002-200000000
χ544-44-4-444-40000000004i−4i00000000000000000000000−2i2i00000-2200000000
χ554-44-4-444-4000000000−4i4i000000000000000000000002i−2i00000-2200000000
χ564-44-4-444-4000000000−4i4i00000000000000000000000−2i2i000002-200000000
χ578-8888-8-8-8000000000000000000000000000000000000000000000000000
χ588-8-88-8-888000000000000000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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