Finite Group Databasebeta

← Group #339188

Character table — Group #339188

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888444444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ51111111111111111111111-1-111111111-1-11111-1-1-1-1-1-11-111-1-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-111-1-1-1-11111-1-1-1-11111111-111-1-1-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-111-111-1-1-1-111-11-1
χ10111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-111-111-1-111-1-11-1-1
χ11111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-111-11-1-1-1-111-1-11-11
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-1-1-111-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-11111-1-1-111
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-11-1-1-111-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111-1-111111-1-1111-1-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11111111-1-1-11-1
χ17222222222-2-22-2-222-2-20000220022-2-200-2-200002200000-20000000000000
χ18222222222-2-22-2-222-2-200002200-2-22200220000-2-200000-20000000000000
χ19222222222-2-22-2-222-2-20000-2-20022-2-200220000-2-20000020000000000000
χ20222222222-2-22-2-222-2-20000-2-200-2-22200-2-20000220000020000000000000
χ2122222222-222-222-2-2-2-2222200220000-2-2000000000000-20-2200000000000
χ2222222222-222-222-2-2-2-2222200-2-20000-2-2000000000000202-200000000000
χ2322222222-222-222-2-2-2-2-2-2-2-2002200002200000000000020-2-200000000000
χ2422222222-222-222-2-2-2-2-2-2-2-200-2-2000022000000000000-202200000000000
χ25222-2-2-22-2-2-2-2222-22-22000000000000000022-2-200000000002i−2i002i−2i00000
χ26222-2-2-22-2-2-2-2222-22-22000000000000000022-2-20000000000−2i2i00−2i2i00000
χ27222-2-2-22-2-2-2-2222-22-220000000000000000-2-22200000000002i−2i00−2i2i00000
χ28222-2-2-22-2-2-2-2222-22-220000000000000000-2-2220000000000−2i2i002i−2i00000
χ292-222-22-2-2-200-200220022−2−22-200002i−2i2−22i−2ii2−i2i2−i200i2i2−i2−i20000002−20000000
χ302-222-22-2-2-200-200220022−2−22-20000−2i2i2−2−2i2i−i2i2−i2i200−i2−i2i2i20000002−20000000
χ312-222-22-2-2-200-200220022−2−2-2200002i−2i2−2−2i2ii2−i2i2−i200−i2−i2i2i2000000−220000000
χ322-222-22-2-2-200-200220022−2−2-220000−2i2i2−22i−2i−i2i2−i2i200i2i2−i2−i2000000−220000000
χ332-222-22-2-2-200-2002200−2−2222-200002i−2i−222i−2i−i2i2−i2i200−i2−i2i2i2000000−220000000
χ342-222-22-2-2-200-2002200−2−2222-20000−2i2i−22−2i2ii2−i2i2−i200i2i2−i2−i2000000−220000000
χ352-222-22-2-2-200-2002200−2−222-2200002i−2i−22−2i2i−i2i2−i2i200i2i2−i2−i20000002−20000000
χ362-222-22-2-2-200-2002200−2−222-220000−2i2i−222i−2ii2−i2i2−i200−i2−i2i2i20000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-4444-4-4-44-4-4400000000000000000000000000000000000000000
χ39444-4-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000
χ40444-4-4-44-4-4444-4-4-444-400000000000000000000000000000000000000000
χ4144-444-4-4-404-404-4000000000000000000000000000000000000000022−22000
χ4244-444-4-4-404-404-40000000000000000000000000000000000000000−2222000
χ4344-444-4-4-40-440-4400000000004-4000000000000000000000000000000000
χ4444-444-4-4-40-440-440000000000-44000000000000000000000000000000000
χ4544-4-4-44-4404-40-44000000000000000000000000002i2−2i22i2−2i2000000000000000
χ4644-4-4-44-4404-40-4400000000000000000000000000−2i22i2−2i22i2000000000000000
χ4744-4-4-44-440-4404-400004i−4i4i−4i0000000000000000000000000000000000000
χ4844-4-4-44-440-4404-40000−4i4i−4i4i0000000000000000000000000000000000000
χ494-444-44-4-4400400-4-4002222−22−2200000000−2222000000000000000000000000000
χ504-444-44-4-4400400-4-400−22−2222220000000022−22000000000000000000000000000
χ514-44-44-4-44400-400-440000000000000000002i2−2i2−2i22i2000000000000000000000
χ524-44-44-4-44400-400-44000000000000000000−2i22i22i2−2i2000000000000000000000
χ534-44-44-4-44-4004004-400000000004i−4i0000000000000000000000000000000
χ544-44-44-4-44-4004004-40000000000−4i4i0000000000000000000000000000000
χ554-4-4-4444-400000000002i2−2i2−2i22i200000000000000002i2−2i22-2-22000000000000000
χ564-4-4-4444-400000000002i2−2i2−2i22i20000000000000000−2i22i2-222-2000000000000000
χ574-4-4-4444-40000000000−2i22i22i2−2i200000000000000002i2−2i2-222-2000000000000000
χ584-4-4-4444-40000000000−2i22i22i2−2i20000000000000000−2i22i22-2-22000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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