Finite Group Databasebeta

← Group #335547

Character table — Group #335547

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-1-11-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1
χ51111111111111111111111-1-111111111-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1-111-1
χ61111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11
χ71111111111111111111111-1-1-1-1-1-111111111-1-1-1-11111111-1-1-1-1-11111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-11-1
χ10111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-11
χ11111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-1111-1-1-1-1111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-111
χ13111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-111-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1111111-1-11-1-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-1-1-1-1-11111-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-11111-1-111-11-1
χ17222222222-222-2-22-2-2-2222200000022-2-2000000000000-22-2000000000000
χ18222222222-222-2-22-2-2-22222000000-2-2-2-20000000000002-22000000000000
χ19222222222-222-2-22-2-2-2-2-2-2-20000002222000000000000-2-22000000000000
χ20222222222-222-2-22-2-2-2-2-2-2-2000000-2-22200000000000022-2000000000000
χ2122222222-22-2-222-22-2-200002222-2-2000022-2-200000000000-200000000000
χ2222222222-22-2-222-22-2-2000022-2-2220000-2-22200000000000-200000000000
χ2322222222-22-2-222-22-2-20000-2-222-2-20000-2-22200000000000200000000000
χ2422222222-22-2-222-22-2-20000-2-2-2-222000022-2-200000000000200000000000
χ252-22-2-2-222-2-22222-2-22-20000000000000000002i2i−2i−2i000000002-200002i−2i000
χ262-22-2-2-222-2-22222-2-22-20000000000000000002i2i−2i−2i00000000-220000−2i2i000
χ272-22-2-2-222-2-22222-2-22-2000000000000000000−2i−2i2i2i000000002-20000−2i2i000
χ282-22-2-2-222-2-22222-2-22-2000000000000000000−2i−2i2i2i00000000-2200002i−2i000
χ292-2-222-2-2202002-20-20022−2−22-2002i−2i002−2002i−2ii2−i2i2−i2i2i2−i2−i20000002−20000000
χ302-2-222-2-2202002-20-20022−2−22-200−2i2i002−200−2i2i−i2i2−i2i2−i2−i2i2i20000002−20000000
χ312-2-222-2-2202002-20-20022−2−2-22002i−2i002−200−2i2ii2−i2i2−i2−i2−i2i2i2000000−220000000
χ322-2-222-2-2202002-20-20022−2−2-2200−2i2i002−2002i−2i−i2i2−i2i2i2i2−i2−i2000000−220000000
χ332-2-222-2-2202002-20-200−2−2222-2002i−2i00−22002i−2i−i2i2−i2i2−i2−i2i2i2000000−220000000
χ342-2-222-2-2202002-20-200−2−2222-200−2i2i00−2200−2i2ii2−i2i2−i2i2i2−i2−i2000000−220000000
χ352-2-222-2-2202002-20-200−2−222-22002i−2i00−2200−2i2i−i2i2−i2i2i2i2−i2−i20000002−20000000
χ362-2-222-2-2202002-20-200−2−222-2200−2i2i00−22002i−2ii2−i2i2−i2−i2−i2i2i20000002−20000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4000000000022−2222−22000000000022−220000002-22-2000000000000000
χ39444-44-4-4-4000000000022−2222−220000000000−2222000000-22-22000000000000000
χ40444-44-4-4-40000000000−2222−2222000000000022−22000000-22-22000000000000000
χ41444-44-4-4-40000000000−2222−22220000000000−22220000002-22-2000000000000000
χ4244-44-4-44-4404-400-4000000000000000000000000000000000000022−2200000
χ4344-44-4-44-4404-400-40000000000000000000000000000000000000−222200000
χ4444-44-4-44-4-40-4400400000000000004i−4i00000000000000000000000000000
χ4544-44-4-44-4-40-440040000000000000−4i4i00000000000000000000000000000
χ4644-4-4-44-440400-440-4000000004i−4i000000000000000000000000000000000
χ4744-4-4-44-440400-440-400000000−4i4i000000000000000000000000000000000
χ4844-4-4-44-440-4004-4040000000000000000000022−22−22220000000000000000000
χ4944-4-4-44-440-4004-40400000000000000000000−222222−220000000000000000000
χ504-44-4-4-44444-4-4-4-4444-400000000000000000000000000000000000000000
χ514-44-4-4-4444-4-4-4444-4-4400000000000000000000000000000000000000000
χ524-44-4-4-444-4444-4-4-44-4400000000000000000000000000000000000000000
χ534-4-444-4-440-400-4404002222−22−2200000000−2222000000000000000000000000000
χ544-4-444-4-440-400-440400−22−2222220000000022−22000000000000000000000000000
χ554-4-4-4444-440-4400-400000000000000000000000002i2−2i2−2i22i2000000000000000
χ564-4-4-4444-440-4400-40000000000000000000000000−2i22i22i2−2i2000000000000000
χ574-4-4-4444-4-404-40040004-4-440000000000000000000000000000000000000
χ584-4-4-4444-4-404-4004000-444-40000000000000000000000000000000000000
χ598-888-88-8-8000000000000000000000000000000000000000000000000000

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