Finite Group Databasebeta

← Group #282540

Character table — Group #282540

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888824444448888888888222444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-11-1-1111111-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-11-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-111-111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111
χ9111111111111111111-1-11111-1-111-11111-1-1-1-11111-111-1-1-111-1-1-1-111-1-11-1
χ10111111111111111111-1-11111-1-111-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-11
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-1
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-11111111-1-111-1-1-11
χ13111111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-11
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111111-1-1-1-1-1-1111-1
χ172222222222-2-2-22-22-2-2220000-2-2222-2-20000000000-200200000000000000
χ182222222222-2-2-22-22-2-2220000-2-2-2-22220000000000200-200000000000000
χ192222222222-2-2-22-22-2-2-2-200002222-2-2-20000000000200-200000000000000
χ202222222222-2-2-22-22-2-2-2-2000022-2-2-2220000000000-200200000000000000
χ2122222222-2-2222-22-2-2-2222222-2200-200-2-222-2-20000000000000000000000
χ2222222222-2-2222-22-2-2-222-2-2-2-2-2200-20022-2-2220000000000000000000000
χ2322222222-2-2222-22-2-2-2-2-222222-200200-2-2-2-2220000000000000000000000
χ2422222222-2-2222-22-2-2-2-2-2-2-2-2-22-2002002222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222200002-200-2000000002i2i−2i−2i000000002i−2i00000000
χ2622222222-2-2-2-2-2-2-2-2222200002-200-200000000−2i−2i2i2i00000000−2i2i00000000
χ2722222222-2-2-2-2-2-2-2-222-2-20000-22002000000002i2i−2i−2i00000000−2i2i00000000
χ2822222222-2-2-2-2-2-2-2-222-2-20000-2200200000000−2i−2i2i2i000000002i−2i00000000
χ292-2-22-22-222-222-22-2-22-200000000000000000002i−2i2i−2i00002-2000000002i−2i00
χ302-2-22-22-222-222-22-2-22-200000000000000000002i−2i2i−2i0000-2200000000−2i2i00
χ312-2-22-22-222-222-22-2-22-20000000000000000000−2i2i−2i2i00002-200000000−2i2i00
χ322-2-22-22-222-222-22-2-22-20000000000000000000−2i2i−2i2i0000-22000000002i−2i00
χ332-2-22-22-22-22-2-22-2222-200000000000000000002-2-2202-20000000002-20000
χ342-2-22-22-22-22-2-22-2222-200000000000000000002-2-220-22000000000-220000
χ352-2-22-22-22-22-2-22-2222-20000000000000000000-222-202-2000000000-220000
χ362-2-22-22-22-22-2-22-2222-20000000000000000000-222-20-220000000002-20000
χ37444-4-44-4-4004-440-400000000000000000000000000000000000022−22000000
χ38444-4-44-4-4004-440-4000000000000000000000000000000000000−2222000000
χ39444-4-44-4-400-44-404000000000000000000000000000000002i2−2i20000000000
χ40444-4-44-4-400-44-40400000000000000000000000000000000−2i22i20000000000
χ4144-444-4-4-44-4000-40400000000000004i−4i0000000000000000000000000000
χ4244-444-4-4-44-4000-4040000000000000−4i4i0000000000000000000000000000
χ4344-444-4-4-4-4400040-400000000004-40000000000000000000000000000000
χ4444-444-4-4-4-4400040-40000000000-440000000000000000000000000000000
χ4544-4-4-4-44400000000004-42222−22−2200000000022−22000000000000000000000000
χ4644-4-4-4-44400000000004-4−22−222222000000000−2222000000000000000000000000
χ4744-4-4-4-4440000000000-442222−22−22000000000−2222000000000000000000000000
χ4844-4-4-4-4440000000000-44−22−22222200000000022−22000000000000000000000000
χ494-444-4-44-444000-40-4000022−2222−22000000022−2200000000000000000000000000
χ504-444-4-44-444000-40-40000−2222−22220000000−222200000000000000000000000000
χ514-444-4-44-4-4-4000404000022−2222−220000000−222200000000000000000000000000
χ524-444-4-44-4-4-40004040000−2222−2222000000022−2200000000000000000000000000
χ534-4-44-44-444-4-4-4444-4-4400000000000000000000000000000000000000000
χ544-4-44-44-44-4444-4-4-44-4400000000000000000000000000000000000000000
χ554-4-4-4444-4004-4-404000004-4-4400000000000000000000000000000000000
χ564-4-4-4444-4004-4-40400000-444-400000000000000000000000000000000000
χ574-4-4-4444-400-4440-4000000000000000000004i−4i0000000000000000000000
χ584-4-4-4444-400-4440-400000000000000000000−4i4i0000000000000000000000
χ598-88-88-8-88000000000000000000000000000000000000000000000000000

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