Finite Group Databasebeta

← Group #305493

Character table — Group #305493

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122222222448888888888888888888888881616161616161616161616161616161632
order12222222444444444444444444444488888888888844444444888888884
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-11
χ4111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-11-1-1-1-1-1-11111-1
χ511111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ611111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1111-1-111-1-111-1
χ711111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1111-1-1111111-1-1-1
χ9111111111111111111-1-11111111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1-1-1-1-111-1
χ10111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-11111-1-11
χ11111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1-1-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1111
χ13111111111111111111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-11111-1-1-1-1-1
χ14111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-111-111-1-1-1-1-1-1-1-11
χ172222222222-2-222-2-2-2-22222-2-200000022-2-20000000000000-200000000000
χ182222222222-2-222-2-2-2-222-2-222000000-2-2220000000000000-200000000000
χ192222222222-2-222-2-2-2-2-2-222-2-2000000-2-2220000000000000200000000000
χ202222222222-2-222-2-2-2-2-2-2-2-22200000022-2-20000000000000200000000000
χ2122222222-2-222-2-222-2-200000022-2-222000022-2-2000000-200000000000000
χ2222222222-2-222-2-222-2-200000022-2-2-2-20000-2-222000000200000000000000
χ2322222222-2-222-2-222-2-2000000-2-222220000-2-222000000-200000000000000
χ2422222222-2-222-2-222-2-2000000-2-222-2-2000022-2-2000000200000000000000
χ252-22-22-22-22222-2-2-2-22-2002-22-22-22-2000000000000000002-2000000000000
χ262-22-22-22-22222-2-2-2-22-2002-22-2-22-2200000000000000000-22000000000000
χ272-22-22-22-22222-2-2-2-22-200-22-222-22-200000000000000000-22000000000000
χ282-22-22-22-22222-2-2-2-22-200-22-22-22-22000000000000000002-2000000000000
χ292-22-22-22-222-2-2-2-222-22002-2-220000000000000000000000002i−2i2i−2i0000000
χ302-22-22-22-222-2-2-2-222-22002-2-22000000000000000000000000−2i2i−2i2i0000000
χ312-22-22-22-222-2-2-2-222-2200-222-20000000000000000000000002i−2i−2i2i0000000
χ322-22-22-22-222-2-2-2-222-2200-222-2000000000000000000000000−2i2i2i−2i0000000
χ332-22-22-22-2-2-22222-2-2-220000002-2-22000000000000002i−2i0000000000002i−2i0
χ342-22-22-22-2-2-22222-2-2-220000002-2-2200000000000000−2i2i000000000000−2i2i0
χ352-22-22-22-2-2-22222-2-2-22000000-222-2000000000000002i−2i000000000000−2i2i0
χ362-22-22-22-2-2-22222-2-2-22000000-222-200000000000000−2i2i0000000000002i−2i0
χ3744444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000
χ384444-4-4-4-44-4004-4000000000000000000000000000000000000000022−22000
χ394444-4-4-4-44-4004-40000000000000000000000000000000000000000−2222000
χ404444-4-4-4-4-4400-4400004-4000000000000000000000000000000000000000
χ414444-4-4-4-4-4400-440000-44000000000000000000000000000000000000000
χ4244-4-4-4-444004-4004-400000000000000000000002i22i2−2i2−2i200000000000000000
χ4344-4-4-4-444004-4004-40000000000000000000000−2i2−2i22i22i200000000000000000
χ4444-4-4-4-44400-4400-440000000000000000004i−4i00000000000000000000000
χ4544-4-4-4-44400-4400-44000000000000000000−4i4i00000000000000000000000
χ464-44-44-44-4-4-4-4-444444-400000000000000000000000000000000000000000
χ474-44-4-44-444-400-440000000000000000000000002i2−2i22i2−2i200000000000000000
χ484-44-4-44-444-400-44000000000000000000000000−2i22i2−2i22i200000000000000000
χ494-44-4-44-44-44004-400000000000000004i−4i000000000000000000000000000
χ504-44-4-44-44-44004-40000000000000000−4i4i000000000000000000000000000
χ514-4-444-4-440000000000000000000000002i2−2i2002i2−2i22-2-2200000000000000000
χ524-4-444-4-440000000000000000000000002i2−2i200−2i22i2-222-200000000000000000
χ534-4-444-4-44000000000000000000000000−2i22i2002i2−2i2-222-200000000000000000
χ544-4-444-4-44000000000000000000000000−2i22i200−2i22i22-2-2200000000000000000
χ554-4-44-444-4004-400-440000000000000000000000000000000000002i2−2i200000
χ564-4-44-444-4004-400-44000000000000000000000000000000000000−2i22i200000
χ574-4-44-444-400-44004-40000000000004i−4i00000000000000000000000000000
χ584-4-44-444-400-44004-4000000000000−4i4i00000000000000000000000000000
χ5988-8-888-8-8000000000000000000000000000000000000000000000000000

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