Finite Group Databasebeta

← Group #174486

Character table — Group #174486

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size1111111144444444444488888888888881616161616161616161616161616161616163232
order12222222444444444444224448888888822444444448888888824
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-11-1-11111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ611111111111111111111-1-11-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-11-11-11-11-11-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-1111111-1-1-11111-1-1-1-1-111-1-11-11-11-1-111-1-1111-1
χ111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111111-11-11-11-11-1-1-111-1-111-11
χ121111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-11111-111-1-11-11-1111-1-111-1-1-11
χ131111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-11-1-111-1-11-1111-1-1-1-111-11
χ141111111111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-11-11-111-11-1-1-11111-1-1-11
χ151111111111-1-1-1-1-1-11111-1-1-111-1-1-1-111111-1-111-1-11-11-1-11111-1-11-1
χ161111111111-1-1-1-1-1-11111-1-1-111-1-1-1-11111-11-11-111-11-111-1-1-1-1111-1
χ17222222222-22222-2-2-22-2-200-2000000000000000022-2-20000000000
χ18222222222-22222-2-2-22-2-200-20000000000000000-2-2220000000000
χ19222222222-2-2-2-2-222-22-2-200200000000000000002-2-220000000000
χ20222222222-2-2-2-2-222-22-2-20020000000000000000-222-20000000000
χ2122222222-2222-2-2-2-2-2-22-200200000000002-200-2200000000000000
χ2222222222-2222-2-2-2-2-2-22-20020000000000-22002-200000000000000
χ2322222222-22-2-22222-2-22-200-200000000002200-2-200000000000000
χ2422222222-22-2-22222-2-22-200-20000000000-2-2002200000000000000
χ2522222222-2-222-2-2222-2-2222-2220000000000-2-20000000000000000
χ2622222222-2-222-2-2222-2-22-2-2-2-2-20000000000220000000000000000
χ2722222222-2-2-2-222-2-22-2-22222-2-20000000000-220000000000000000
χ2822222222-2-2-2-222-2-22-2-22-2-222200000000002-20000000000000000
χ2922-2-2-2-222002-2002-2-20022-202-20000000000000000002−22−22−22−200
χ3022-2-2-2-222002-2002-2-20022-202-2000000000000000000−22−22−22−2200
χ3122-2-2-2-222002-2002-2-2002-220-220000000000000000002−22−2−22−2200
χ3222-2-2-2-222002-2002-2-2002-220-22000000000000000000−22−222−22−200
χ3322-2-2-2-22200-2200-22-20022-20-220000000000000000002−2−222−2−2200
χ3422-2-2-2-22200-2200-22-20022-20-22000000000000000000−222−2−222−200
χ3522-2-2-2-22200-2200-22-2002-2202-20000000000000000002−2−22−222−200
χ3622-2-2-2-22200-2200-22-2002-2202-2000000000000000000−222−22−2−2200
χ37444-44-4-4-40400000000-40000002222−22−22000000000000000000000000
χ38444-44-4-4-40400000000-4000000−22−222222000000000000000000000000
χ39444-44-4-4-40-400000000400000000002i22i2−2i2−2i200000000000000000000
χ40444-44-4-4-40-40000000040000000000−2i2−2i22i22i200000000000000000000
χ4144-4-4-4-444004-400-44400-4000000000000000000000000000000000
χ4244-4-4-4-44400-44004-4400-4000000000000000000000000000000000
χ434-4-444-44-4400000000-4000000000002i2−2i22i2−2i200000000000000000000
χ444-4-444-44-4400000000-400000000000−2i22i2−2i22i200000000000000000000
χ454-4-444-44-4-4000000004000000022−2222−22000000000000000000000000
χ464-4-444-44-4-40000000040000000−2222−2222000000000000000000000000
χ474-4-4-444-4400004-4000000000002-2-222-2-2200000000000000000000
χ484-4-4-444-4400004-400000000000-222-2-222-200000000000000000000
χ494-4-4-444-440000-44000000000002-2-22-222-200000000000000000000
χ504-4-4-444-440000-4400000000000-222-22-2-2200000000000000000000
χ5188-88-88-8-8000000000000000000000000000000000000000000000
χ528-888-8-8-88000000000000000000000000000000000000000000000
χ538-88-8-888-8000000000000000000000000000000000000000000000

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