Finite Group Databasebeta

← Group #305232

Character table — Group #305232

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size111111112222222244448888888888888888888888816161616161616161616161616163232
order12222222444444444444444444444444444888888884444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1111-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ51111111111111111111111-1-1111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1
χ61111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ71111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-11111-1-111-1-11-1
χ101111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-111-1-111-1-111-11
χ111111111111111111-1-111-1-111-1-1-1-1-11111111111-1-1-1-11-1-11-1-111-1-1-1-111-11
χ121111111111111111-1-111-1-111-1-1-1-1-1111111-1-1-1-111111-1-11-1-1-1-11111-1-11-1
χ131111111111111111-1-111-1-1-1-111-111-1-111111111-1-1-1-1-111-1-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-1-111-111-1-11111-1-1-1-11111-111-1-1-111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1111-1-111-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-22-20022-2002200000000000000-2-2000000000000
χ182222222222-2-222-2-222-2-22-200-2-2-200-2-20000000000000022000000000000
χ192222222222-2-222-2-2-2-2-2-2-220022200-2-200000000000000-22000000000000
χ202222222222-2-222-2-2-2-2-2-2-2200-2-220022000000000000002-2000000000000
χ2122222222-2-222-2-22222-2-2-222200-22200000000000000-2-200000000000000
χ2222222222-2-222-2-22222-2-2-22-2-200-2-2-2000000000000002200000000000000
χ2322222222-2-222-2-222-2-2-2-22-222002-2-200000000000000-2200000000000000
χ2422222222-2-222-2-222-2-2-2-22-2-2-200222000000000000002-200000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-200002000022-2-20000000000002-20000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2000020000-2-222000000000000-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000-2000022-2-2000000000000-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000-20000-2-2220000000000002-20000000000
χ29222-2-2-2-222-22-22-22-200-22000000000002-22-200000000000000002i−2i2i−2i0000
χ30222-2-2-2-222-22-22-22-200-22000000000002-22-20000000000000000−2i2i−2i2i0000
χ31222-2-2-2-222-22-22-22-200-2200000000000-22-2200000000000000002i−2i−2i2i0000
χ32222-2-2-2-222-22-22-22-200-2200000000000-22-220000000000000000−2i2i2i−2i0000
χ33222-2-2-2-22-22-22-22-2200-22000000000002-2-22000000000000002i−2i00002i−2i00
χ34222-2-2-2-22-22-22-22-2200-22000000000002-2-2200000000000000−2i2i0000−2i2i00
χ35222-2-2-2-22-22-22-22-2200-2200000000000-222-2000000000000002i−2i0000−2i2i00
χ36222-2-2-2-22-22-22-22-2200-2200000000000-222-200000000000000−2i2i00002i−2i00
χ37444-4-4-4-444-4-444-4-44004-4000000000000000000000000000000000000000
χ38444-4-4-4-44-444-4-444-4004-4000000000000000000000000000000000000000
χ3944-444-4-4-4004-400-4400000000000000000002222−22−2200000000000000000000
χ4044-444-4-4-4004-400-440000000000000000000−22−22222200000000000000000000
χ4144-444-4-4-400-44004-4000000000000000000000002222−22−220000000000000000
χ4244-444-4-4-400-44004-400000000000000000000000−22−2222220000000000000000
χ4344-4-4-444-4004400-4-4000000000004-4000000000000000000000000000000
χ4444-4-4-444-4004400-4-400000000000-44000000000000000000000000000000
χ4544-4-4-444-400-4-400440000004i−4i00000000000000000000000000000000000
χ4644-4-4-444-400-4-40044000000−4i4i00000000000000000000000000000000000
χ474-444-44-4-44-400-44000000000000000000000000022−2222−220000000000000000
χ484-444-44-4-44-400-440000000000000000000000000−2222−22220000000000000000
χ494-444-44-4-4-44004-400000000000000000000022−2222−2200000000000000000000
χ504-444-44-4-4-44004-4000000000000000000000−2222−222200000000000000000000
χ514-44-44-44-44400-4-40000000000000004-40000000000000000000000000000
χ524-44-44-44-44400-4-4000000000000000-440000000000000000000000000000
χ534-44-44-44-4-4-4004400000000004i−4i000000000000000000000000000000000
χ544-44-44-44-4-4-400440000000000−4i4i000000000000000000000000000000000
χ554-4-44-4-444000000004-4000000000000000002-2-222-2-220000000000000000
χ564-4-44-4-444000000004-400000000000000000-222-2-222-20000000000000000
χ574-4-44-4-44400000000-44000000000000000002-2-22-222-20000000000000000
χ584-4-44-4-44400000000-4400000000000000000-222-22-2-220000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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