Finite Group Databasebeta

← Group #306307

Character table — Group #306307

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444422444444888888888888444444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11-111-1111-1-111-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1111-1-1-1-1-111-1-11-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-111-111-1-1-1-111-11
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-1-11111-1-11-1-1-1-1-1-111-11
χ611111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1111-1-111-1-11-1
χ711111111111111111111-1-111-1-1111111111111-11-1-11-1-1-11111-1-1-1-1-1-1
χ811111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111111111-1-111-1-1111111111111111-1-1-1-1-1-11-1-1-1-11111-1-1
χ10111111111111111111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-11-1-1111-1-1-1-1-1-111
χ11111111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11-111-1-1-1-1111111-1-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-1111-1
χ13111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-11-1-11111-1-11111-1-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1111111111111-1-111-111-1-1-1-1-1-1-1-1-111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-111-1-11111-1-1
χ172222222222-2-2-222-2-2-22200-2-200000022-2-200000200-20000000000000
χ182222222222-2-2-222-2-2-22200-2-2000000-2-22200000-20020000000000000
χ192222222222-2-2-222-2-2-2-2-2002200000022-2-200000-20020000000000000
χ202222222222-2-2-222-2-2-2-2-20022000000-2-22200000200-20000000000000
χ2122222222-2-2222-2-22-2-200220022-2-22200000000-2000000-20000000000
χ2222222222-2-2222-2-22-2-2002200-2-222-2-200000000-200000020000000000
χ2322222222-2-2222-2-22-2-200-2-2002222-2-2000000002000000-20000000000
χ2422222222-2-2222-2-22-2-200-2-200-2-2-2-22200000000200000020000000000
χ25222-22-2-2-2222-22-2-2-2-222-2002-2000000000022-2-2000000002-200000000
χ26222-22-2-2-2222-22-2-2-2-222-2002-20000000000-2-22200000000-2200000000
χ27222-22-2-2-2222-22-2-2-2-22-2200-22000000000022-2-200000000-2200000000
χ28222-22-2-2-2222-22-2-2-2-22-2200-220000000000-2-222000000002-200000000
χ29222-22-2-2-222-22-2-2-222-22-200-22002-22-20000000000000000002-2000000
χ30222-22-2-2-222-22-2-2-222-22-200-2200-22-22000000000000000000-22000000
χ31222-22-2-2-222-22-2-2-222-2-22002-2002-22-2000000000000000000-22000000
χ32222-22-2-2-222-22-2-2-222-2-22002-200-22-220000000000000000002-2000000
χ33222-22-2-2-2-2-2-22-2222-22000000002-2-2200000000002i−2i02i−2i00000000000
χ34222-22-2-2-2-2-2-22-2222-22000000002-2-220000000000−2i2i0−2i2i00000000000
χ35222-22-2-2-2-2-2-22-2222-2200000000-222-200000000002i−2i0−2i2i00000000000
χ36222-22-2-2-2-2-2-22-2222-2200000000-222-20000000000−2i2i02i−2i00000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000
χ38444-44-4-4-4-4-44-4444-44-400000000000000000000000000000000000000
χ3944-44-44-4-44-40004-4000000000000000000022−2222−22000000000000000000
χ4044-44-44-4-44-40004-40000000000000000000−2222−2222000000000000000000
χ4144-44-44-4-4-44000-440000000000000004-4000000000000000000000000
χ4244-44-44-4-4-44000-44000000000000000-44000000000000000000000000
χ4344-4-4-4-4444-4000-44000000000000000000022−22−2222000000000000000000
χ4444-4-4-4-4444-4000-440000000000000000000−222222−22000000000000000000
χ4544-4-4-4-444-440004-4000000000000000004-40000000000000000000000
χ4644-4-4-4-444-440004-400000000000000000-440000000000000000000000
χ474-4-444-4-440044-400-4000000004i−4i000000000000000000000000000000
χ484-4-444-4-440044-400-400000000−4i4i000000000000000000000000000000
χ494-4-444-4-4400-4-4400400000000000000000000000000000000000022−2200
χ504-4-444-4-4400-4-44004000000000000000000000000000000000000−222200
χ514-4-4-4444-4004-4-400400000000000000000000000000000000002i2−2i20000
χ524-4-4-4444-4004-4-40040000000000000000000000000000000000−2i22i20000
χ534-4-4-4444-400-44400-400004i−4i0000000000000000000000000000000000
χ544-4-4-4444-400-44400-40000−4i4i0000000000000000000000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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