Finite Group Databasebeta

← Group #295821

Character table — Group #295821

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444444488888888222444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1111111
χ511111111111111111111-1-1-1-1-11111-11111-1-1-1-1-1-1-1-1111-111-1-111-1-11-1
χ611111111111111111111-1-1-1-1-11111-1-1-1-1-11111-1-1-1-1111-1-1-111-1-111-11
χ711111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1-1-111-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-11111-1-11-1
χ9111111111111111111-1-1111-1-111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-111
χ11111111111111111111-1-1111-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-111-1-111-111111111-1-1
χ13111111111111111111-1-1-1-1-1111111-11111-1-1-1-1-111-1-1-1-11-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-1111111-1-1-1-1-11111-111-1-1-1-1111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-11-1-11-1111-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-11-111111-1-111-1-1-11
χ172222222222-2-222-2-2-2-2222-2-2-2-200002000000000000-20020000000000
χ182222222222-2-222-2-2-2-222-222220000-2000000000000-200-20000000000
χ192222222222-2-222-2-2-2-2-2-22-2-22200002000000000000200-20000000000
χ202222222222-2-222-2-2-2-2-2-2-222-2-20000-200000000000020020000000000
χ2122222222-2-222-2-222-2-20022-20022-2-2-200000000200-200000000000000
χ2222222222-2-222-2-222-2-20022-200-2-222-200000000-200200000000000000
χ2322222222-2-222-2-222-2-200-2-220022-2-2200000000-200200000000000000
χ2422222222-2-222-2-222-2-200-2-2200-2-222200000000200-200000000000000
χ2522222222-2-2-2-2-2-2-2-222002-22000000-20000000002-2002-200000000000
χ2622222222-2-2-2-2-2-2-2-222002-22000000-2000000000-2200-2200000000000
χ2722222222-2-2-2-2-2-2-2-22200-22-200000020000000002-200-2200000000000
χ2822222222-2-2-2-2-2-2-2-22200-22-20000002000000000-22002-200000000000
χ29222-22-2-2-22-2-2-22-2222-200000002i−2i2i−2i000002i2i−2i−2i000000000000002-200
χ30222-22-2-2-22-2-2-22-2222-200000002i−2i2i−2i00000−2i−2i2i2i00000000000000-2200
χ31222-22-2-2-22-2-2-22-2222-20000000−2i2i−2i2i000002i2i−2i−2i00000000000000-2200
χ32222-22-2-2-22-2-2-22-2222-20000000−2i2i−2i2i00000−2i−2i2i2i000000000000002-200
χ33222-22-2-2-2-22-2-2-2222-2200000002i−2i−2i2i02i2i−2i−2i00000000000000002-20000
χ34222-22-2-2-2-22-2-2-2222-2200000002i−2i−2i2i0−2i−2i2i2i0000000000000000-220000
χ35222-22-2-2-2-22-2-2-2222-220000000−2i2i2i−2i02i2i−2i−2i0000000000000000-220000
χ36222-22-2-2-2-22-2-2-2222-220000000−2i2i2i−2i0−2i−2i2i2i00000000000000002-20000
χ37444-44-4-4-44-4444-4-4-4-4400000000000000000000000000000000000000
χ38444-44-4-4-4-4444-44-4-44-400000000000000000000000000000000000000
χ394-444-4-4-444400-4-40000000004i−4i0000000000000000000000000000000
χ404-444-4-4-444400-4-4000000000−4i4i0000000000000000000000000000000
χ414-444-4-4-44-4-4004400004-4000000000000000000000000000000000000
χ424-444-4-4-44-4-400440000-44000000000000000000000000000000000000
χ434-44-4-444-44-400-44000000000000000000000000000000002i2−2i200000000
χ444-44-4-444-44-400-4400000000000000000000000000000000−2i22i200000000
χ454-44-4-444-4-44004-400000000000000000000000000000000002i2−2i2000000
χ464-44-4-444-4-44004-40000000000000000000000000000000000−2i22i2000000
χ474-4-4444-4-4004-4004-40000000000000000002i2−2i22i2−2i2000000000000000000
χ484-4-4444-4-4004-4004-4000000000000000000−2i22i2−2i22i2000000000000000000
χ494-4-4444-4-400-4400-44000000000000002i2−2i22i2−2i20000000000000000000000
χ504-4-4444-4-400-4400-4400000000000000−2i22i2−2i22i20000000000000000000000
χ514-4-4-44-444004-400-440000000000000022−22−22220000000000000000000000
χ524-4-4-44-444004-400-4400000000000000−222222−220000000000000000000000
χ534-4-4-44-44400-44004-400000000000000000022−22−2222000000000000000000
χ544-4-4-44-44400-44004-4000000000000000000−222222−22000000000000000000
χ5588-88-8-88-8000000000000000000000000000000000000000000000000
χ5688-8-8-88-88000000000000000000000000000000000000000000000000

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