Finite Group Databasebeta

← Group #340989

Character table — Group #340989

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888224444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-111-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ51111111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-111111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-1-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111111-11-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-11-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-11-111111-1-11-1-1
χ17222222222-2-2222-2-2-2-20000222200-2-222000000-2-2000000-2000000000000
χ18222222222-2-2222-2-2-2-2000022-2-200-2-2-2-2000000220000002000000000000
χ19222222222-2-2222-2-2-2-20000-2-2220022-2-200000022000000-2000000000000
χ20222222222-2-2222-2-2-2-20000-2-2-2-2002222000000-2-20000002000000000000
χ2122222222-222-2-2-222-2-222220000220000-2-20000000000000-2-22000000000
χ2222222222-222-2-2-222-2-222220000-2-20000-2-2000000000000022-2000000000
χ2322222222-222-2-2-222-2-2-2-2-2-200002200002200000000000002-2-2000000000
χ2422222222-222-2-2-222-2-2-2-2-2-20000-2-20000220000000000000-222000000000
χ252-2-222-22-2-2222-22-2-2-2200000000000000002i2i−2i−2i0000002-200002i−2i0000000
χ262-2-222-22-2-2222-22-2-2-2200000000000000002i2i−2i−2i000000-220000−2i2i0000000
χ272-2-222-22-2-2222-22-2-2-220000000000000000−2i−2i2i2i0000002-20000−2i2i0000000
χ282-2-222-22-2-2222-22-2-2-220000000000000000−2i−2i2i2i000000-2200002i−2i0000000
χ292-2-22-22-222002-2-2000022−2−2002-2002i−2i002−2i2−i2i2−i22i−2ii2i2−i2−i2000000002−200000
χ302-2-22-22-222002-2-2000022−2−2002-200−2i2i002−2−i2i2−i2i2−2i2i−i2−i2i2i2000000002−200000
χ312-2-22-22-222002-2-2000022−2−200-22002i−2i002−2i2−i2i2−i2−2i2i−i2−i2i2i200000000−2200000
χ322-2-22-22-222002-2-2000022−2−200-2200−2i2i002−2−i2i2−i2i22i−2ii2i2−i2−i200000000−2200000
χ332-2-22-22-222002-2-20000−2−222002-2002i−2i00−22−i2i2−i2i22i−2i−i2−i2i2i200000000−2200000
χ342-2-22-22-222002-2-20000−2−222002-200−2i2i00−22i2−i2i2−i2−2i2ii2i2−i2−i200000000−2200000
χ352-2-22-22-222002-2-20000−2−22200-22002i−2i00−22−i2i2−i2i2−2i2ii2i2−i2−i2000000002−200000
χ362-2-22-22-222002-2-20000−2−22200-2200−2i2i00−22i2−i2i2−i22i−2i−i2−i2i2i2000000002−200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-4400-4-44000000004-400000000000000000000000000000000000
χ394444-4-4-4-4400-4-4400000000-4400000000000000000000000000000000000
χ404444-4-4-4-4-40044-40000000000000000000022−22−2222000000000000000000000
χ414444-4-4-4-4-40044-400000000000000000000−222222−22000000000000000000000
χ4244-4-44-4-4404-40004-4000000000000000000000000000000000000002i2−2i2000
χ4344-4-44-4-4404-40004-400000000000000000000000000000000000000−2i22i2000
χ4444-4-44-4-440-44000-4400000000004i−4i0000000000000000000000000000000
χ4544-4-44-4-440-44000-440000000000−4i4i0000000000000000000000000000000
χ4644-4-4-444-400000000002i2−2i22i2−2i2000000002i2−2i2000000002-22-2000000000000000
χ4744-4-4-444-400000000002i2−2i22i2−2i200000000−2i22i200000000-22-22000000000000000
χ4844-4-4-444-40000000000−2i22i2−2i22i2000000002i2−2i200000000-22-22000000000000000
χ4944-4-4-444-40000000000−2i22i2−2i22i200000000−2i22i2000000002-22-2000000000000000
χ504-44-444-4-404-4000-44004i−4i−4i4i0000000000000000000000000000000000000
χ514-44-444-4-404-4000-4400−4i4i4i−4i0000000000000000000000000000000000000
χ524-44-444-4-40-440004-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ534-44-444-4-40-440004-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ544-4-444-44-4444-44-4-4-44-400000000000000000000000000000000000000000
χ554-4-444-44-44-4-4-44-444-4400000000000000000000000000000000000000000
χ564-4-444-44-4-4-4-44-44444-400000000000000000000000000000000000000000
χ574-4-44-44-44-400-44400002222−22−220000000000−22220000000000000000000000000
χ584-4-44-44-44-400-4440000−22−222222000000000022−220000000000000000000000000
χ598-88-8-8-888000000000000000000000000000000000000000000000000000

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