Finite Group Databasebeta

← Group #279799

Character table — Group #279799

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size11111111222222224444444488888888888888888161616161616161616161616161616163232
order12222222444444444444888822444448888888888444444888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111-1-11-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ511111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-111
χ711111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-1111111-1-111-1-111-1-11111-1-1
χ811111111111111111111-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ9111111111111111111-1-1111111-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-11
χ10111111111111111111-1-1111111-111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ11111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-11
χ12111111111111111111-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111-1
χ13111111111111111111-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1111-1
χ14111111111111111111-1-1-1-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-11
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-11
χ17222222222-2-222-22-2-2-222000022-2-2-22-20000000000002-200000000000000
χ18222222222-2-222-22-2-2-2220000-2-2-2222-2000000000000-2200000000000000
χ19222222222-2-222-22-2-2-2-2-20000222-2-2-22000000000000-2200000000000000
χ20222222222-2-222-22-2-2-2-2-20000-2-2222-220000000000002-200000000000000
χ2122222222-222-2-22-22-2-222222200200-2-2-2-222-2-20000000000000000000000
χ2222222222-222-2-22-22-2-222-2-2-2-200200-2-222-2-2220000000000000000000000
χ2322222222-222-2-22-22-2-2-2-2222200-20022-2-2-2-2220000000000000000000000
χ2422222222-222-2-22-22-2-2-2-2-2-2-2-200-200222222-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222000000-200-220000002i2i−2i−2i000000000000002i−2i00
χ2622222222-2-2-2-2-2-2-2-22222000000-200-22000000−2i−2i2i2i00000000000000−2i2i00
χ2722222222-2-2-2-2-2-2-2-222-2-20000002002-20000002i2i−2i−2i00000000000000−2i2i00
χ2822222222-2-2-2-2-2-2-2-222-2-20000002002-2000000−2i−2i2i2i000000000000002i−2i00
χ2922-222-2-2-22222-2-2-2-22-20000002-202-20000000000002-200002-20000000000
χ3022-222-2-2-22222-2-2-2-22-20000002-202-2000000000000-220000-220000000000
χ3122-222-2-2-22222-2-2-2-22-2000000-220-220000000000002-20000-220000000000
χ3222-222-2-2-22222-2-2-2-22-2000000-220-22000000000000-2200002-20000000000
χ3322-222-2-2-22-2-22-22-22-220000002-20-2200000000000000002i−2i00002i−2i000000
χ3422-222-2-2-22-2-22-22-22-220000002-20-220000000000000000−2i2i0000−2i2i000000
χ3522-222-2-2-22-2-22-22-22-22000000-2202-200000000000000002i−2i0000−2i2i000000
χ3622-222-2-2-22-2-22-22-22-22000000-2202-20000000000000000−2i2i00002i−2i000000
χ37444-4-4-44-4400-440-4000000000000000000000022−2222−22000000000000000000
χ38444-4-4-44-4400-440-40000000000000000000000−2222−2222000000000000000000
χ39444-4-4-44-4-4004-40400000000000000000000002i2−2i2−2i22i2000000000000000000
χ40444-4-4-44-4-4004-4040000000000000000000000−2i22i22i2−2i2000000000000000000
χ4144-444-4-4-4-444-44-44-4-4400000000000000000000000000000000000000000
χ4244-444-4-4-4-4-4-4-444444-400000000000000000000000000000000000000000
χ4344-4-4-44-44400-4-404000002i22i2−2i2−2i200000002i2−2i200000000000000000000000000
χ4444-4-4-44-44400-4-40400000−2i2−2i22i22i20000000−2i22i200000000000000000000000000
χ4544-4-4-44-44-400440-4000002i22i2−2i2−2i20000000−2i22i200000000000000000000000000
χ4644-4-4-44-44-400440-400000−2i2−2i22i22i200000002i2−2i200000000000000000000000000
χ474-444-44-4-404-40040-400000000000000000000000000000000022−2200000000
χ484-444-44-4-404-40040-4000000000000000000000000000000000−222200000000
χ494-444-44-4-40-4400-40400000000000000000000000000000000000002i2−2i20000
χ504-444-44-4-40-4400-4040000000000000000000000000000000000000−2i22i20000
χ514-44-44-4-4400000000004i−4i22−2222−220000000002i2−2i2000000000000000000000000
χ524-44-44-4-4400000000004i−4i−2222−2222000000000−2i22i2000000000000000000000000
χ534-44-44-4-440000000000−4i4i22−2222−22000000000−2i22i2000000000000000000000000
χ544-44-44-4-440000000000−4i4i−2222−22220000000002i2−2i2000000000000000000000000
χ554-4-44-4-44404-400-40400000000000000000004-40000000000000000000000
χ564-4-44-4-44404-400-4040000000000000000000-440000000000000000000000
χ574-4-44-4-4440-440040-400004i−4i−4i4i00000000000000000000000000000000000
χ584-4-44-4-4440-440040-40000−4i4i4i−4i00000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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