Finite Group Databasebeta

← Group #310984

Character table — Group #310984

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444444444444444488888888888844444444888888882
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-111111-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ41111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-11-1-1-1-11111-1-1-1
χ511111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-1-1111-111-1-111-1-1-1-1-1
χ611111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111
χ711111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1-1-1
χ811111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111
χ9111111111111111111-1-11111-1-11111-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-1-111-1-11
χ10111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-1-111-1-111-1
χ11111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-11111111-1-1-1-11
χ12111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-1-11111-1
χ13111111111111111111-1-1-1-111-1-11111111111111111-1-11-1-1-1-1-111-1-1-1-111-1
χ14111111111111111111-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-111-1-1-1111111-1-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111-1-1-111-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-11
χ17222222222-2-22-2-222-2-2222200-2-20000220000-2-2000000000-200000000000
χ18222222222-2-22-2-222-2-222-2-200-2-20000-2-2000022000000000200000000000
χ19222222222-2-22-2-222-2-2-2-22200220000-2-2000022000000000-200000000000
χ20222222222-2-22-2-222-2-2-2-2-2-200220000220000-2-2000000000200000000000
χ2122222222-222-222-2-2-2-200002200-2-2220022-2-200000000-200000000000000
χ2222222222-222-222-2-2-2-200002200-2-2-2-200-2-22200000000200000000000000
χ2322222222-222-222-2-2-2-20000-2-200222200-2-22200000000-200000000000000
χ2422222222-222-222-2-2-2-20000-2-20022-2-20022-2-200000000200000000000000
χ252-22-2-22-22222-2-2-22-2-222i−2i002i−2i2i−2i2i−2i000000000000000000002-2000000000
χ262-22-2-22-22222-2-2-22-2-222i−2i00−2i2i2i−2i−2i2i00000000000000000000-22000000000
χ272-22-2-22-22222-2-2-22-2-22−2i2i002i−2i−2i2i2i−2i00000000000000000000-22000000000
χ282-22-2-22-22222-2-2-22-2-22−2i2i00−2i2i−2i2i−2i2i000000000000000000002-2000000000
χ292-22-2-22-222-2-2-2222-22-22i−2i0000−2i2i00000000000000002i−2i0000002-20000000
χ302-22-2-22-222-2-2-2222-22-22i−2i0000−2i2i0000000000000000−2i2i000000-220000000
χ312-22-2-22-222-2-2-2222-22-2−2i2i00002i−2i00000000000000002i−2i000000-220000000
χ322-22-2-22-222-2-2-2222-22-2−2i2i00002i−2i0000000000000000−2i2i0000002-20000000
χ332-22-2-22-22-2222-2-2-222-200002i−2i00−2i2i000000000000000002-2000002i−2i00000
χ342-22-2-22-22-2222-2-2-222-200002i−2i00−2i2i00000000000000000-2200000−2i2i00000
χ352-22-2-22-22-2222-2-2-222-20000−2i2i002i−2i000000000000000002-200000−2i2i00000
χ362-22-2-22-22-2222-2-2-222-20000−2i2i002i−2i00000000000000000-22000002i−2i00000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ3844-44-4-4-44400-400-4400004i−4i0000000000000000000000000000000000000
χ3944-44-4-4-44400-400-440000−4i4i0000000000000000000000000000000000000
χ4044-44-4-4-44-4004004-4000000000000000000000000000000000000002i2−2i2000
χ4144-44-4-4-44-4004004-400000000000000000000000000000000000000−2i22i2000
χ4244-4-4-444-404-404-40000000000000000000000002i22i2−2i2−2i200000000000000000
χ4344-4-4-444-404-404-4000000000000000000000000−2i2−2i22i22i200000000000000000
χ4444-4-4-444-40-440-440000000000000000004i−4i0000000000000000000000000
χ4544-4-4-444-40-440-44000000000000000000−4i4i0000000000000000000000000
χ464-444-4-44-400000000000000000000002i2−2i20022−22002i−2i2i−2i00000000000000000
χ474-444-4-44-400000000000000000000002i2−2i200−222200−2i2i−2i2i00000000000000000
χ484-444-4-44-40000000000000000000000−2i22i20022−2200−2i2i−2i2i00000000000000000
χ494-444-4-44-40000000000000000000000−2i22i200−2222002i−2i2i−2i00000000000000000
χ504-44-4-44-44-4-4-4444-44-4400000000000000000000000000000000000000000
χ514-4-4444-4-404-40-440000000000000000000000000000000000000000002i2−2i20
χ524-4-4444-4-404-40-44000000000000000000000000000000000000000000−2i22i20
χ534-4-4444-4-40-4404-4000000000000004i−4i00000000000000000000000000000
χ544-4-4444-4-40-4404-400000000000000−4i4i00000000000000000000000000000
χ554-4-4-44-444400400-4-4000000000000000000004i−4i000000000000000000000
χ564-4-4-44-444400400-4-400000000000000000000−4i4i000000000000000000000
χ574-4-4-44-444-400-40044000000000000000000000022−22−222200000000000000000
χ584-4-4-44-444-400-400440000000000000000000000−222222−2200000000000000000
χ59888-88-8-8-8000000000000000000000000000000000000000000000000000

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