Finite Group Databasebeta

← Group #340939

Character table — Group #340939

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444448888888888888888888888161616161616161616161616323232
order12222222444444444488882244444488888888888888224444888888224
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111111111-1-11-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1
χ411111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-111-1-11
χ51111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111111111-1
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-111111-1-111-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111
χ9111111111111111111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1111-11-1-1-1-1-1111-1-1
χ10111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1111-1-1-1-1-111
χ11111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11111-1-11-11
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11111-11-1
χ13111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111-11-111-1-1-1-1-11-1
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-11-1-1-1-1111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-111
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-11-111111-1-11-1-1
χ17222222222-2-2222-2-2-2-2000022-2-22200-2-200000022000000-2000000000000
χ18222222222-2-2222-2-2-2-2000022-2-2-2-20022000000-2-20000002000000000000
χ19222222222-2-2222-2-2-2-20000-2-222220022000000-2-2000000-2000000000000
χ20222222222-2-2222-2-2-2-20000-2-222-2-200-2-2000000220000002000000000000
χ2122222222-222-2-2-222-2-222220000002200-2-200000000000002-2-2000000000
χ2222222222-222-2-2-222-2-22222000000-2-200-2-20000000000000-222000000000
χ2322222222-222-2-2-222-2-2-2-2-2-20000002200220000000000000-2-22000000000
χ2422222222-222-2-2-222-2-2-2-2-2-2000000-2-20022000000000000022-2000000000
χ252-222-22-2-2-2222-22-2-2-2200000000000000002i2i−2i−2i0000002-200002i−2i0000000
χ262-222-22-2-2-2222-22-2-2-2200000000000000002i2i−2i−2i000000-220000−2i2i0000000
χ272-222-22-2-2-2222-22-2-2-220000000000000000−2i−2i2i2i0000002-20000−2i2i0000000
χ282-222-22-2-2-2222-22-2-2-220000000000000000−2i−2i2i2i000000-2200002i−2i0000000
χ292-22-2-2-222-200-222000022−2−22-2002-200002−22−22−22-222−2−2000000002−200000
χ302-22-2-2-222-200-222000022−2−22-200-2200002−22−22−2-22−2−22200000000−2200000
χ312-22-2-2-222-200-222000022−2−2-22002-200002−2−22−22-22−2−222000000002−200000
χ322-22-2-2-222-200-222000022−2−2-2200-2200002−2−22−222-222−2−200000000−2200000
χ332-22-2-2-222-200-2220000−2−2222-2002-20000−22−22−222-2−2−22200000000−2200000
χ342-22-2-2-222-200-2220000−2−2222-200-220000−22−22−22-2222−2−2000000002−200000
χ352-22-2-2-222-200-2220000−2−222-22002-20000−222−22−2-2222−2−200000000−2200000
χ362-22-2-2-222-200-2220000−2−222-2200-220000−222−22−22-2−2−222000000002−200000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-44-4-4-4400-4-44000000000000000000002i2−2i2−2i22i2000000000000000000000
χ39444-44-4-4-4400-4-4400000000000000000000−2i22i22i2−2i2000000000000000000000
χ40444-44-4-4-4-40044-400000000004i−4i000000000000000000000000000000000
χ41444-44-4-4-4-40044-40000000000−4i4i000000000000000000000000000000000
χ4244-4-4-44-4404-40004-400000000000000000000000022−2222−22000000000000000
χ4344-4-4-44-4404-40004-4000000000000000000000000−2222−2222000000000000000
χ4444-4-4-44-440-44000-44004-44-40000000000000000000000000000000000000
χ4544-4-4-44-440-44000-4400-44-440000000000000000000000000000000000000
χ464-444-44-4-4444-44-4-4-44-400000000000000000000000000000000000000000
χ474-444-44-4-44-4-4-44-444-4400000000000000000000000000000000000000000
χ484-444-44-4-4-4-4-44-44444-400000000000000000000000000000000000000000
χ494-44-4-4-4444004-4-400002222−22−220000000000−22220000000000000000000000000
χ504-44-4-4-4444004-4-40000−22−222222000000000022−220000000000000000000000000
χ514-4-444-4-44000000000022−22−22220000000022−22000000002-2-22000000000000000
χ524-4-444-4-44000000000022−22−222200000000−222200000000-222-2000000000000000
χ534-4-444-4-440000000000−222222−220000000022−2200000000-222-2000000000000000
χ544-4-444-4-440000000000−222222−2200000000−2222000000002-2-22000000000000000
χ554-4-4-4444-404-4000-440000000000004-400000000000000000000000000000
χ564-4-4-4444-404-4000-44000000000000-4400000000000000000000000000000
χ574-4-4-4444-40-440004-40000000000000000000000000000000000000022−22000
χ584-4-4-4444-40-440004-400000000000000000000000000000000000000−2222000
χ5988-88-8-88-8000000000000000000000000000000000000000000000000000

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