Finite Group Databasebeta

← Group #339321

Character table — Group #339321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-11-1-11-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1111111111111111111-11-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-11111-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-11-1-11-1-11111-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-111-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-111-111-1-1-111-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1111-11
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-11-1-1-1-111-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111111111-111-1-1-1-1-111-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-1-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111-1-11-1-111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1111-1-1
χ17222222222-22-2-222-2-2-2222200220000-2-2000000000000-20-2002000000000
χ18222222222-22-2-222-2-2-2222200-2-20000-2-200000000000020200-2000000000
χ19222222222-22-2-222-2-2-2-2-2-2-20022000022000000000000-20200-2000000000
χ20222222222-22-2-222-2-2-2-2-2-2-200-2-200002200000000000020-2002000000000
χ2122222222-22-222-2-22-2-200002200-2-2220022-2-2000000000-20000000000000
χ2222222222-22-222-2-22-2-200002200-2-2-2-200-2-22200000000020000000000000
χ2322222222-22-222-2-22-2-20000-2-200222200-2-222000000000-20000000000000
χ2422222222-22-222-2-22-2-20000-2-20022-2-20022-2-200000000020000000000000
χ25222-2-22-2-2-222-2-2-222-220000000000000000002i2i−2i−2i00000002i−2i000002-2000
χ26222-2-22-2-2-222-2-2-222-220000000000000000002i2i−2i−2i0000000−2i2i00000-22000
χ27222-2-22-2-2-222-2-2-222-22000000000000000000−2i−2i2i2i00000002i−2i00000-22000
χ28222-2-22-2-2-222-2-2-222-22000000000000000000−2i−2i2i2i0000000−2i2i000002-2000
χ292-2-2-2-22220-202-20020022−2−200002-22-22−2002-22−22−222−2−20000002−20000000
χ302-2-2-2-22220-202-20020022−2−200002-2-222−200-222−22−2−2−222000000−220000000
χ312-2-2-2-22220-202-20020022−2−20000-222-22−200-22−22−22−2−2220000002−20000000
χ322-2-2-2-22220-202-20020022−2−20000-22-222−2002-2−22−2222−2−2000000−220000000
χ332-2-2-2-22220-202-200200−2−22200002-22-2−22002-2−22−22−2−222000000−220000000
χ342-2-2-2-22220-202-200200−2−22200002-2-22−2200-22−22−2222−2−20000002−20000000
χ352-2-2-2-22220-202-200200−2−2220000-222-2−2200-222−22−222−2−2000000−220000000
χ362-2-2-2-22220-202-200200−2−2220000-22-22−22002-22−22−2−2−2220000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-44-4-444-4-4-44-444-400000000000000000000000000000000000000000
χ39444-4-44-4-44-4-4444-4-4-4400000000000000000000000000000000000000000
χ40444-4-44-4-4-4-4444-44-44-400000000000000000000000000000000000000000
χ4144-44-4-44-440400-4-4000000000000000000000000000000000000022−2200000
χ4244-44-4-44-440400-4-40000000000000000000000000000000000000−222200000
χ4344-44-4-44-4-40-400440000000004i−4i000000000000000000000000000000000
χ4444-44-4-44-4-40-40044000000000−4i4i000000000000000000000000000000000
χ4544-4-44-4-4440-400-4400000000000000000000000002i2−2i22i2−2i2000000000000000
χ4644-4-44-4-4440-400-440000000000000000000000000−2i22i2−2i22i2000000000000000
χ4744-4-44-4-44-404004-40004i−4i4i−4i0000000000000000000000000000000000000
χ4844-4-44-4-44-404004-4000−4i4i−4i4i0000000000000000000000000000000000000
χ494-444-4-4-4400000000002i2−2i2−2i22i2000000000022−220000002i−2i−2i2i000000000000000
χ504-444-4-4-4400000000002i2−2i2−2i22i20000000000−2222000000−2i2i2i−2i000000000000000
χ514-444-4-4-440000000000−2i22i22i2−2i2000000000022−22000000−2i2i2i−2i000000000000000
χ524-444-4-4-440000000000−2i22i22i2−2i20000000000−22220000002i−2i−2i2i000000000000000
χ534-4-4444-4-40404-400-40000004-400000000000000000000000000000000000
χ544-4-4444-4-40404-400-4000000-4400000000000000000000000000000000000
χ554-4-4444-4-40-40-44004000000000000000000002i2−2i2−2i22i20000000000000000000
χ564-4-4444-4-40-40-4400400000000000000000000−2i22i22i2−2i20000000000000000000
χ574-4-4-4-4444040-4400-4002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-4-4444040-4400-400−22−2222220000000022−22000000000000000000000000000
χ598-88-88-88-8000000000000000000000000000000000000000000000000000

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