Finite Group Databasebeta

← Group #329378

Character table — Group #329378

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444444444444444488888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111-1-1-1-1-1-11-1-111111111111-1-11-1-1-1-1-1-11111-1-1
χ6111111111111111111111111-1-1-1-1-1-11-1-111111111-1-1-111-111-1-1-1-1-1-1-1-111
χ7111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111-1-11-1-11111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111-11111111111-1-1
χ91111111111111111-1-1-1-11-1-1111-1-111-1-1-11111-1-1-1-11-1-1111-1-111-1-111-1-11-1
χ101111111111111111-1-1-1-11-1-1111-1-111-1-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-11
χ111111111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-111-11
χ121111111111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-1-11111-111-1-1-111-1-11111-1-11-1
χ131111111111111111-1-1-1-11-1-11-1-111-1-1-1111111-1-1-1-11-1-1-1-1111-1-11111-1-1-11
χ141111111111111111-1-1-1-11-1-11-1-111-1-1-1111111-1-1-1-1-11111-1-1-1-1-111-1-1111-1
χ151111111111111111-1-1-1-11-1-11-1-111-1-1-111-1-1-1-111111-1-1-1-111111-1-1-1-1111-1
χ161111111111111111-1-1-1-11-1-11-1-111-1-1-111-1-1-1-11111-11111-1-1-111-1-111-1-1-11
χ1722222222222-2-2-2-2222-2-2-222-22222-2-2-2-2-200000000000000000000000000
χ1822222222222-2-2-2-2222-2-2-222-2-2-2-2-222-22200000000000000000000000000
χ1922222222222-2-2-2-22-2-222-2-2-2-222-2-2-2-222200000000000000000000000000
χ2022222222222-2-2-2-22-2-222-2-2-2-2-2-222222-2-200000000000000000000000000
χ2122222222-2-2-22222-222-2-2-2-2-2-2000000200000000002-2200-2000000000000
χ2222222222-2-2-22222-222-2-2-2-2-2-200000020000000000-22-2002000000000000
χ2322222222-2-2-22222-2-2-222-222-2000000-2000000000022-200-2000000000000
χ2422222222-2-2-22222-2-2-222-222-2000000-20000000000-2-22002000000000000
χ2522222222-2-2-2-2-2-2-2-222222-2-22000000-200000000000002-202-20000000000
χ2622222222-2-2-2-2-2-2-2-222222-2-22000000-20000000000000-220-220000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222000000200000000000002-20-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222200000020000000000000-2202-20000000000
χ29222-2-2-22-22-2-2000022-20002-202-22-200000i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i2000000
χ30222-2-2-22-22-2-2000022-20002-202-22-200000−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i2000000
χ31222-2-2-22-22-2-2000022-20002-20-22-2200000i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i2000000
χ32222-2-2-22-22-2-2000022-20002-20-22-2200000−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i2000000
χ33222-2-2-22-22-2-200002-22000-2202-2-2200000i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i2000000
χ34222-2-2-22-22-2-200002-22000-2202-2-2200000−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i2000000
χ35222-2-2-22-22-2-200002-22000-220-222-200000i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i2000000
χ36222-2-2-22-22-2-200002-22000-220-222-200000−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i2000000
χ37444-4-4-44-4-4440000-44-4000-44000000000000000000000000000000000000
χ38444-4-4-44-4-4440000-4-440004-4000000000000000000000000000000000000
χ3944-444-4-4-400000000004-400000000000002-22-22-22-2000000000000000000
χ4044-444-4-4-400000000004-40000000000000-22-22-22-22000000000000000000
χ4144-444-4-4-40000000000-4400000000000002-22-2-22-22000000000000000000
χ4244-444-4-4-40000000000-440000000000000-22-222-22-2000000000000000000
χ4344-4-4-44-440004-44-400000000000000000000002i2−2i2−2i22i2000000000000000000
χ4444-4-4-44-440004-44-40000000000000000000000−2i22i22i2−2i2000000000000000000
χ4544-4-4-44-44000-44-440000000000000000002i2−2i2−2i22i20000000000000000000000
χ4644-4-4-44-44000-44-44000000000000000000−2i22i22i2−2i20000000000000000000000
χ474-444-4-4-4444-40000-40000000000000004-400000000000000000000000000
χ484-444-4-4-4444-40000-4000000000000000-4400000000000000000000000000
χ494-444-4-4-44-4-44000040000000000004i−4i00000000000000000000000000000
χ504-444-4-4-44-4-4400004000000000000−4i4i00000000000000000000000000000
χ514-44-444-4-44-4444-4-4-40000-400400000000000000000000000000000000000
χ524-44-444-4-44-44-4-444-40000400-400000000000000000000000000000000000
χ534-44-444-4-4-44-444-4-440000400-400000000000000000000000000000000000
χ544-44-444-4-4-44-4-4-44440000-400400000000000000000000000000000000000
χ554-4-44-444-40004-4-4400000000000000000000000000000000000000002i2−2i200
χ564-4-44-444-40004-4-440000000000000000000000000000000000000000−2i22i200
χ574-4-44-444-4000-444-4000000000000000000000000000000000000002i2−2i20000
χ584-4-44-444-4000-444-400000000000000000000000000000000000000−2i22i20000
χ598-8-8-88-888000000000000000000000000000000000000000000000000000

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