Finite Group Databasebeta

← Group #337032

Character table — Group #337032

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488884444444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111111111111111-1-11-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111111-1-11111-1-1-1-1-1-111-11-1-1-1-1-1-1-1-11-11
χ4111111111111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1
χ51111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-11-1
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-111111111-11-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-111-1-11-1-1
χ10111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-111-111
χ11111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-11111-1
χ12111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11
χ13111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-111-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-1-1-111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-11-1-11111-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1111-1-1
χ17222222222-2-222-22-2-2-2222200002200-2-2000000000000-220-200000000000
χ18222222222-2-222-22-2-2-222220000-2-200-2-20000000000002-20200000000000
χ19222222222-2-222-22-2-2-2-2-2-2-200002200220000000000002-20-200000000000
χ20222222222-2-222-22-2-2-2-2-2-2-20000-2-20022000000000000-220200000000000
χ2122222222-222-2-22-22-2-20000222200-2-200-2-2000022000000-2000000000000
χ2222222222-222-2-22-22-2-2000022-2-200-2-200220000-2-20000002000000000000
χ2322222222-222-2-22-22-2-20000-2-222002200220000-2-2000000-2000000000000
χ2422222222-222-2-22-22-2-20000-2-2-2-2002200-2-20000220000002000000000000
χ2522-2-22-22-2-2-2-2222-222-200000000000000002i2i−2i−2i00000000002i−2i00002-2000
χ2622-2-22-22-2-2-2-2222-222-200000000000000002i2i−2i−2i0000000000−2i2i0000-22000
χ2722-2-22-22-2-2-2-2222-222-20000000000000000−2i−2i2i2i00000000002i−2i0000-22000
χ2822-2-22-22-2-2-2-2222-222-20000000000000000−2i−2i2i2i0000000000−2i2i00002-2000
χ292-2-2-222-2202-20020-20022−2−22i−2i2-200002−200i2−i2i2−i22i−2ii2i2−i2−i20000002−20000000
χ302-2-2-222-2202-20020-20022−2−22i−2i-2200002−200i2−i2i2−i2−2i2i−i2−i2i2i2000000−220000000
χ312-2-2-222-2202-20020-20022−2−2−2i2i2-200002−200−i2i2−i2i2−2i2i−i2−i2i2i20000002−20000000
χ322-2-2-222-2202-20020-20022−2−2−2i2i-2200002−200−i2i2−i2i22i−2ii2i2−i2−i2000000−220000000
χ332-2-2-222-2202-20020-200−2−2222i−2i2-20000−2200−i2i2−i2i22i−2i−i2−i2i2i2000000−220000000
χ342-2-2-222-2202-20020-200−2−2222i−2i-220000−2200−i2i2−i2i2−2i2ii2i2−i2−i20000002−20000000
χ352-2-2-222-2202-20020-200−2−222−2i2i2-20000−2200i2−i2i2−i2−2i2ii2i2−i2−i2000000−220000000
χ362-2-2-222-2202-20020-200−2−222−2i2i-220000−2200i2−i2i2−i22i−2i−i2−i2i2i20000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-4-444004-40-4000000000000000000000000000000000000022−2200000
χ39444-4-4-4-444004-40-40000000000000000000000000000000000000−222200000
χ40444-4-4-4-44-400-4404000000000004i−4i0000000000000000000000000000000
χ41444-4-4-4-44-400-440400000000000−4i4i0000000000000000000000000000000
χ4244-44-44-4-4400-440-4000000000000000000000000022−2222−22000000000000000
χ4344-44-44-4-4400-440-40000000000000000000000000−2222−2222000000000000000
χ4444-44-44-4-4-4004-4040004i−4i4i−4i0000000000000000000000000000000000000
χ4544-44-44-4-4-4004-404000−4i4i−4i4i0000000000000000000000000000000000000
χ4644-4-44-44-4444-4-4-44-44-400000000000000000000000000000000000000000
χ4744-4-44-44-44-4-4-4-4444-4400000000000000000000000000000000000000000
χ4844-4-44-44-4-44444-4-4-4-4400000000000000000000000000000000000000000
χ494-4444-4-4-404-400-4040000000000004i−4i00000000000000000000000000000
χ504-4444-4-4-404-400-404000000000000−4i4i00000000000000000000000000000
χ514-4444-4-4-40-440040-400000000000000000022−22−2222000000000000000000000
χ524-4444-4-4-40-440040-4000000000000000000−222222−22000000000000000000000
χ534-44-4-444-400000000002i2−2i2−2i22i2000000000022−220000002i−2i−2i2i000000000000000
χ544-44-4-444-400000000002i2−2i2−2i22i20000000000−2222000000−2i2i2i−2i000000000000000
χ554-44-4-444-40000000000−2i22i22i2−2i2000000000022−22000000−2i2i2i−2i000000000000000
χ564-44-4-444-40000000000−2i22i22i2−2i20000000000−22220000002i−2i−2i2i000000000000000
χ574-4-4-444-440-4400-404002222−22−2200000000−2222000000000000000000000000000
χ584-4-4-444-440-4400-40400−22−2222220000000022−22000000000000000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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