Finite Group Databasebeta

← Group #295816

Character table — Group #295816

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11111111222222224488888888888888888888161616161616161616161616161616163232
order12222222444444444444444444444488888888224444448888888844
χ111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-111-111-1-11111-1-1-1-111-1-11-1-1-111-1-111-1-11-1
χ611111111111111111111-1-1-111-111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1-111-11
χ711111111111111111111-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-111-11
χ811111111111111111111-1-1-111-1-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-11-1
χ9111111111111111111-1-1111-1-11111111111111-1-1-1-111-1-1-1-1-1-11111-1-1
χ10111111111111111111-1-1111-1-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111
χ11111111111111111111-1-1111-1-11-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1111-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111-111-1-11111-1-1-11
χ14111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111-11111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11-1-1-1-111-1-1111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-1-111-1-111-1-1-11
χ1722222222222-2-2-2-22-2-22222-2-2-2-2000000000000002-200000000000000
χ1822222222222-2-2-2-22-2-222-2-22-2-2200000000000000-2200000000000000
χ1922222222222-2-2-2-22-2-2-2-222-222-200000000000000-2200000000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-22222000000000000002-200000000000000
χ2122222222-2-2-22222-2-2-2002-2-200222-2-2000000000000-22000000000000
χ2222222222-2-2-22222-2-2-2002-2-2002-2-2220000000000002-2000000000000
χ2322222222-2-2-22222-2-2-200-22200-22222000000000000-2-2000000000000
χ2422222222-2-2-22222-2-2-200-22200-2-2-2-2-200000000000022000000000000
χ2522222222-2-2-2-2-2-2-2-222002-2200-20000000000002-200002-20000000000
χ2622222222-2-2-2-2-2-2-2-222002-2200-2000000000000-220000-220000000000
χ2722222222-2-2-2-2-2-2-2-22200-22-20020000000000002-20000-220000000000
χ2822222222-2-2-2-2-2-2-2-22200-22-2002000000000000-2200002-20000000000
χ29222-22-2-2-22-2-22-22-222-22i−2i0002i−2i0000000002i2i−2i−2i00000000002-2000000
χ30222-22-2-2-22-2-22-22-222-22i−2i0002i−2i000000000−2i−2i2i2i0000000000-22000000
χ31222-22-2-2-22-2-22-22-222-2−2i2i000−2i2i0000000002i2i−2i−2i0000000000-22000000
χ32222-22-2-2-22-2-22-22-222-2−2i2i000−2i2i000000000−2i−2i2i2i00000000002-2000000
χ33222-22-2-2-22-2-2-22-222-222i−2i000−2i2i000002i2i−2i−2i0000000000002-200000000
χ34222-22-2-2-22-2-2-22-222-222i−2i000−2i2i00000−2i−2i2i2i000000000000-2200000000
χ35222-22-2-2-22-2-2-22-222-22−2i2i0002i−2i000002i2i−2i−2i000000000000-2200000000
χ36222-22-2-2-22-2-2-22-222-22−2i2i0002i−2i00000−2i−2i2i2i0000000000002-200000000
χ37444-44-4-4-4-4444-44-4-4-4400000000000000000000000000000000000000
χ38444-44-4-4-4-444-44-44-44-400000000000000000000000000000000000000
χ3944-44-44-4-444-40000-40000000000000022−2222−220000000000000000000000
χ4044-44-44-4-444-40000-400000000000000−2222−22220000000000000000000000
χ4144-44-44-4-4-4-44000040000000000000000002i2−2i22i2−2i2000000000000000000
χ4244-44-44-4-4-4-4400004000000000000000000−2i22i2−2i22i2000000000000000000
χ4344-4-4-4-4444-440000-4000000000000002i2−2i2−2i22i20000000000000000000000
χ4444-4-4-4-4444-440000-400000000000000−2i22i22i2−2i20000000000000000000000
χ4544-4-4-4-444-44-40000400000000000000000022−22−2222000000000000000000
χ4644-4-4-4-444-44-400004000000000000000000−222222−22000000000000000000
χ474-4-444-4-4400044-4-4000000000000000000000000000000000002i2−2i20000
χ484-4-444-4-4400044-4-400000000000000000000000000000000000−2i22i20000
χ494-4-444-4-44000-4-444000000000000000000000000000000000000022−2200
χ504-4-444-4-44000-4-4440000000000000000000000000000000000000−222200
χ514-4-4-4444-40004-4-4400000000000004i−4i00000000000000000000000000
χ524-4-4-4444-40004-4-440000000000000−4i4i00000000000000000000000000
χ534-4-4-4444-4000-444-4000000000004i−4i0000000000000000000000000000
χ544-4-4-4444-4000-444-400000000000−4i4i0000000000000000000000000000
χ558-888-8-88-8000000000000000000000000000000000000000000000000
χ568-88-8-88-88000000000000000000000000000000000000000000000000

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