Finite Group Databasebeta

← Group #307334

Character table — Group #307334

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444444444444444488888888888844444444888888882
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-111-1-111-1-1-1-11-111-1-111-1-1-1-111-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1111
χ511111111111111111111-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-1-1-11
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-11111-1
χ711111111111111111111-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-111-1
χ811111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11
χ9111111111111111111-1-1111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111
χ10111111111111111111-1-1111111-1-1-1-1111111111111-11-1-1-1-1-1-1-1-11111-1-1-1
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-111111111-1-1-1-1-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-111111
χ13111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1111-1-1111111-1-111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11-11111-1-1-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1111111-1-1-1-1-1-1-1-11
χ17222222222-22-22-22-2-2-222000000-2-222002200-2-20000-20000000000000000
χ18222222222-22-22-22-2-2-222000000-2-2-2-200-2-20022000020000000000000000
χ19222222222-22-22-22-2-2-2-2-2000000222200-2-200220000-20000000000000000
χ20222222222-22-22-22-2-2-2-2-200000022-2-2002200-2-2000020000000000000000
χ2122222222-22-22-22-22-2-20022-2-22200002200-2-20000000-2000000000000000
χ2222222222-22-22-22-22-2-20022-2-2-2-20000-2-2002200000002000000000000000
χ2322222222-22-22-22-22-2-200-2-222220000-2-200220000000-2000000000000000
χ2422222222-22-22-22-22-2-200-2-222-2-200002200-2-200000002000000000000000
χ252-22-222-2-22-2-222-2-22-22002-22-200000000000000000000002i−2i002i−2i0000000
χ262-22-222-2-22-2-222-2-22-22002-22-20000000000000000000000−2i2i00−2i2i0000000
χ272-22-222-2-22-2-222-2-22-2200-22-2200000000000000000000002i−2i00−2i2i0000000
χ282-22-222-2-22-2-222-2-22-2200-22-220000000000000000000000−2i2i002i−2i0000000
χ292-22-222-2-2-222-2-222-2-222i−2i0000002i−2i000000000000000000002i−2i00002-2000
χ302-22-222-2-2-222-2-222-2-222i−2i0000002i−2i00000000000000000000−2i2i0000-22000
χ312-22-222-2-2-222-2-222-2-22−2i2i000000−2i2i000000000000000000002i−2i0000-22000
χ322-22-222-2-2-222-2-222-2-22−2i2i000000−2i2i00000000000000000000−2i2i00002-2000
χ332-22-222-2-2-2-222-2-2222-22i−2i2-2-2200−2i2i00000000000000002i−2i0000000000000
χ342-22-222-2-2-2-222-2-2222-22i−2i-222-200−2i2i0000000000000000−2i2i0000000000000
χ352-22-222-2-2-2-222-2-2222-2−2i2i2-2-22002i−2i0000000000000000−2i2i0000000000000
χ362-22-222-2-2-2-222-2-2222-2−2i2i-222-2002i−2i00000000000000002i−2i0000000000000
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ38444-4-4-44-44040-40-4000000000000000000000002222−22−2200000000000000000
χ39444-4-4-44-44040-40-400000000000000000000000−22−22222200000000000000000
χ40444-4-4-44-4-40-40404000000000000000004i−4i0000000000000000000000000
χ41444-4-4-44-4-40-4040400000000000000000−4i4i0000000000000000000000000
χ4244-4-44-4-44040-40-4040000000000000000000000000000000000002i2−2i200000
χ4344-4-44-4-44040-40-404000000000000000000000000000000000000−2i22i200000
χ4444-4-44-4-440-404040-4000000004i−4i000000000000000000000000000000000
χ4544-4-44-4-440-404040-400000000−4i4i000000000000000000000000000000000
χ464-444-4-4-4440-40-40400000000000004i−4i00000000000000000000000000000
χ474-444-4-4-4440-40-4040000000000000−4i4i00000000000000000000000000000
χ484-444-4-4-44-404040-4000000000000000000000000000000000000000002i2−2i20
χ494-444-4-4-44-404040-400000000000000000000000000000000000000000−2i22i20
χ504-44-444-4-444-4-444-4-44-400000000000000000000000000000000000000000
χ514-4-444-44-404040-40-40000000000000000004i−4i00000000000000000000000
χ524-4-444-44-404040-40-4000000000000000000−4i4i00000000000000000000000
χ534-4-444-44-40-40-40404000000000000000000000022−2222−2200000000000000000
χ544-4-444-44-40-40-404040000000000000000000000−2222−222200000000000000000
χ554-4-4-4-4444000000000000000000000022−22000022−222-2-2200000000000000000
χ564-4-4-4-4444000000000000000000000022−220000−2222-222-200000000000000000
χ574-4-4-4-44440000000000000000000000−2222000022−22-222-200000000000000000
χ584-4-4-4-44440000000000000000000000−22220000−22222-2-2200000000000000000
χ5988-88-88-8-8000000000000000000000000000000000000000000000000000

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