Finite Group Databasebeta

← Group #336313

Character table — Group #336313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888244444888888444
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-11111-1-1-1-11-1-11-11-1-1-1-1-1-111-1
χ3111111111111111111111111-1-1111111111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ4111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11
χ51111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11
χ61111111111111111111111-1-111-1-1-1-1111111-1-1-1-111111-1-11-111111-1-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1
χ81111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1-1-11-1-1
χ10111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-111111-11
χ11111111111111111111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-111
χ12111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1111-1-111-11-1
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111111-11-1-1-111-1-1-11-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-111-1-111-111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-111111-1-1-1-11-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-11-1-111111-1-1
χ17222222222-2-22-222-2-2-200002200-2-2220022-2-2000000000000-20000000000
χ18222222222-2-22-222-2-2-200002200-2-2-2-200-2-22200000000000020000000000
χ19222222222-2-22-222-2-2-20000-2-200222200-2-222000000000000-20000000000
χ20222222222-2-22-222-2-2-20000-2-20022-2-20022-2-200000000000020000000000
χ2122222222-222-22-2-22-2-2222200220000-2-2000000000000-200-202000000000
χ2222222222-222-22-2-22-2-2222200-2-20000-2-200000000000020020-2000000000
χ2322222222-222-22-2-22-2-2-2-2-2-20022000022000000000000-20020-2000000000
χ2422222222-222-22-2-22-2-2-2-2-2-200-2-2000022000000000000200-202000000000
χ252-222-22-2-2-200202-2000i2i2−i2−i22-200002-2i2−i22-200i2i2−i2−i2i2i2−i2−i20000000000i2−i2000
χ262-222-22-2-2-200202-2000i2i2−i2−i22-20000-22i2−i2-2200i2i2−i2−i2−i2−i2i2i20000000000−i2i2000
χ272-222-22-2-2-200202-2000i2i2−i2−i2-2200002-2i2−i2-2200−i2−i2i2i2−i2−i2i2i20000000000i2−i2000
χ282-222-22-2-2-200202-2000i2i2−i2−i2-220000-22i2−i22-200−i2−i2i2i2i2i2−i2−i20000000000−i2i2000
χ292-222-22-2-2-200202-2000−i2−i2i2i22-200002-2−i2i22-200−i2−i2i2i2−i2−i2i2i20000000000−i2i2000
χ302-222-22-2-2-200202-2000−i2−i2i2i22-20000-22−i2i2-2200−i2−i2i2i2i2i2−i2−i20000000000i2−i2000
χ312-222-22-2-2-200202-2000−i2−i2i2i2-2200002-2−i2i2-2200i2i2−i2−i2i2i2−i2−i20000000000−i2i2000
χ322-222-22-2-2-200202-2000−i2−i2i2i2-220000-22−i2i22-200i2i2−i2−i2−i2−i2i2i20000000000i2−i2000
χ332-22-22-2-22-2222-2-22-2-220000000000000000002i−2i2i−2i000002i−2i000002-200000
χ342-22-22-2-22-2222-2-22-2-220000000000000000002i−2i2i−2i00000−2i2i00000-2200000
χ352-22-22-2-22-2222-2-22-2-22000000000000000000−2i2i−2i2i000002i−2i00000-2200000
χ362-22-22-2-22-2222-2-22-2-22000000000000000000−2i2i−2i2i00000−2i2i000002-200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-440040-4-400000000000000000000022−22−22220000000000000000000
χ39444-4-4-44-440040-4-4000000000000000000000−222222−220000000000000000000
χ40444-4-4-44-4-400-4044000000000004i−4i0000000000000000000000000000000
χ41444-4-4-44-4-400-404400000000000−4i4i0000000000000000000000000000000
χ4244-444-4-4-404-40400-4000000000000000000000000000000000022−220000000
χ4344-444-4-4-404-40400-40000000000000000000000000000000000−22220000000
χ4444-444-4-4-40-440-4004000000004i−4i000000000000000000000000000000000
χ4544-444-4-4-40-440-400400000000−4i4i000000000000000000000000000000000
χ4644-4-4-44-4400000000002i2−2i22i2−2i20000000000002i2−2i200002-22-2000000000000000
χ4744-4-4-44-4400000000002i2−2i22i2−2i2000000000000−2i22i20000-22-22000000000000000
χ4844-4-4-44-440000000000−2i22i2−2i22i20000000000002i2−2i20000-22-22000000000000000
χ4944-4-4-44-440000000000−2i22i2−2i22i2000000000000−2i22i200002-22-2000000000000000
χ504-444-44-4-4400-40-440002i22i2−2i2−2i200000000−2i22i2000000000000000000000000000
χ514-444-44-4-4400-40-44000−2i2−2i22i22i2000000002i2−2i2000000000000000000000000000
χ524-44-44-4-44444-4-44-4-44-400000000000000000000000000000000000000000
χ534-44-44-4-444-4-4-444-44-4400000000000000000000000000000000000000000
χ544-44-44-4-44-4-4-444-4444-400000000000000000000000000000000000000000
χ554-4-4-4444-404-40-4004004-4-440000000000000000000000000000000000000
χ564-4-4-4444-404-40-400400-444-40000000000000000000000000000000000000
χ574-4-4-4444-40-440400-40000000000000000000000002i2−2i2−2i22i2000000000000000
χ584-4-4-4444-40-440400-4000000000000000000000000−2i22i22i2−2i2000000000000000
χ598-8-88-8-888000000000000000000000000000000000000000000000000000

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