Finite Group Databasebeta

← Group #304794

Character table — Group #304794

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444888888888888888888888888881616161616161616161616163232
order12222222444444444444442244444444888888888888888844444444888822
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11-1-11-1-11111-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-111-1-1-1-111
χ91111111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-111-1-11-1
χ101111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1111-1-1-1-111-11
χ111111111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-1-111-1-111-11
χ121111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11-1-1-11111-1-11-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111-1-1-111111-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-111-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1111-1
χ172222222222-2-222-2-222-2-2-2-222-2-22-2000000000000000000002-2000000000000
χ182222222222-2-222-2-222-2-2-2-2-2-2222-200000000000000000000-22000000000000
χ192222222222-2-222-2-2-2-222-2-222-2-2-2200000000000000000000-22000000000000
χ202222222222-2-222-2-2-2-222-2-2-2-222-22000000000000000000002-2000000000000
χ2122222222-2-222-2-2222222-2-20000-2-222-2-2000000000000000000200-200000000
χ2222222222-2-222-2-2222222-2-20000-2-2-2-222000000000000000000-200200000000
χ2322222222-2-222-2-222-2-2-2-2-2-20000222222000000000000000000-200-200000000
χ2422222222-2-222-2-222-2-2-2-2-2-2000022-2-2-2-2000000000000000000200200000000
χ2522222222-2-2-2-2-2-2-2-222-2-2220000-22000000000000000000000002-202-2000000
χ2622222222-2-2-2-2-2-2-2-222-2-2220000-2200000000000000000000000-220-22000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222200002-2000000000000000000000002-20-22000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222200002-200000000000000000000000-2202-2000000
χ29222-22-2-2-2-2-22-2222-200002-22-22-200000000002i2i−2i−2i00002i2i−2i−2i00000000000000
χ30222-22-2-2-2-2-22-2222-200002-22-22-20000000000−2i−2i2i2i0000−2i−2i2i2i00000000000000
χ31222-22-2-2-2-2-22-2222-200002-2-22-2200000000002i2i−2i−2i0000−2i−2i2i2i00000000000000
χ32222-22-2-2-2-2-22-2222-200002-2-22-220000000000−2i−2i2i2i00002i2i−2i−2i00000000000000
χ33222-22-2-2-2-2-2-2222-220000-222-2-220000002i2i−2i−2i00002i2i−2i−2i000000000000000000
χ34222-22-2-2-2-2-2-2222-220000-222-2-22000000−2i−2i2i2i0000−2i−2i2i2i000000000000000000
χ35222-22-2-2-2-2-2-2222-220000-22-222-20000002i2i−2i−2i0000−2i−2i2i2i000000000000000000
χ36222-22-2-2-2-2-2-2222-220000-22-222-2000000−2i−2i2i2i00002i2i−2i−2i000000000000000000
χ37444-44-4-4-4444-4-4-44-40000-440000000000000000000000000000000000000000
χ38444-44-4-4-444-44-4-4-4400004-40000000000000000000000000000000000000000
χ3944-44-44-4-4000000004-400000000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000
χ4044-44-44-4-4000000004-40000000000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000
χ4144-44-44-4-400000000-4400000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000
χ4244-44-44-4-400000000-440000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000
χ4344-4-4-4-44400000000004-4000000000000000000002-2-222-2-2200000000000000
χ4444-4-4-4-44400000000004-400000000000000000000-222-2-222-200000000000000
χ4544-4-4-4-4440000000000-44000000000000000000002-2-22-222-200000000000000
χ4644-4-4-4-4440000000000-4400000000000000000000-222-22-2-2200000000000000
χ474-444-4-44-44-4004-400000000000000000000002i2−2i22i2−2i20000000000000000000000
χ484-444-4-44-44-4004-40000000000000000000000−2i22i2−2i22i20000000000000000000000
χ494-444-4-44-4-4400-440000000000000000002i2−2i22i2−2i200000000000000000000000000
χ504-444-4-44-4-4400-44000000000000000000−2i22i2−2i22i200000000000000000000000000
χ514-44-4-44-444-400-4400000000000000000022−22−222200000000000000000000000000
χ524-44-4-44-444-400-44000000000000000000−222222−2200000000000000000000000000
χ534-44-4-44-44-44004-4000000000000000000000022−22−22220000000000000000000000
χ544-44-4-44-44-44004-40000000000000000000000−222222−220000000000000000000000
χ554-4-444-4-44004400-4-40000000000004i−4i00000000000000000000000000000000
χ564-4-444-4-44004400-4-4000000000000−4i4i00000000000000000000000000000000
χ574-4-444-4-4400-4-40044000000000000004-4000000000000000000000000000000
χ584-4-444-4-4400-4-4004400000000000000-44000000000000000000000000000000
χ594-4-4-4444-4004-400-4400000000000000000000000000000000000000000022−2200
χ604-4-4-4444-4004-400-44000000000000000000000000000000000000000000−222200
χ614-4-4-4444-400-44004-4000000000000000000000000000000000000000022−220000
χ624-4-4-4444-400-44004-40000000000000000000000000000000000000000−22220000

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