Finite Group Databasebeta

← Group #289302

Character table — Group #289302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111222222222244444444444488888888888888888881616161616161616161632323232
order12224444448888244488888888888888888888888888824444488884488
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1
χ311111111111111111111111111-1-11111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1
χ411111111111111111111111111-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111
χ61111111111111111111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ71111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ81111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ91111111111-1-1-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-1111-11-1-1-11-11-11-1
χ101111111111-1-1-1-11111-1-1-1-1111111-111-1-11111-1-1-1-1-1-1-1-111-11-11-1-1-11-11-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-11-11-1111-1-11-11
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-11-1111-111-11-1
χ131111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-111-1-1111111-1-1-1-1-1-1-11-11111-1-111-1
χ141111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-11-11-111-111-1-11
χ151111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-11-11-1-11-11-1-11
χ161111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111111-11-1-1-1-11-111-1
χ17222222-2-2222222-2-22-222-2-2000000-200000000000000000022-2-200000000
χ18222222-2-2222222-2-22-222-2-2000000-2000000000000000000-2-22200000000
χ19222222-2-222-2-2-2-2-2-22-2-2-22200000020000000000000000002-2-2200000000
χ20222222-2-222-2-2-2-2-2-22-2-2-2220000002000000000000000000-222-200000000
χ2122222-2222-22222-2-2-22-2-222000000-2002222000000000000000000-2-20000
χ2222222-2222-22222-2-2-22-2-222000000-200-2-2-2-2000000000000000000220000
χ2322222-2222-2-2-2-2-2-2-2-2222-2-200000020022-2-2000000000000000000-220000
χ2422222-2222-2-2-2-2-2-2-2-2222-2-2000000200-2-2220000000000000000002-20000
χ2522222-2-2-22-2222222-2-2-2-2-2-22i2i−2i−2i0022i−2i0000002i2i−2i−2i000000000000000000
χ2622222-2-2-22-2222222-2-2-2-2-2-2−2i−2i2i2i002−2i2i000000−2i−2i2i2i000000000000000000
χ2722222-2-2-22-2-2-2-2-222-2-222222i2i−2i−2i00-22i−2i000000−2i−2i2i2i000000000000000000
χ2822222-2-2-22-2-2-2-2-222-2-22222−2i−2i2i2i00-2−2i2i0000002i2i−2i−2i000000000000000000
χ292222-2222-220000-22-2-200002222220-2-20000-2-200000000-22000000000000
χ302222-2222-220000-22-2-200002222-2-20-2-2000022000000002-2000000000000
χ312222-2222-220000-22-2-20000-2-2-2-2220220000-2-2000000002-2000000000000
χ322222-2222-220000-22-2-20000-2-2-2-2-2-202200002200000000-22000000000000
χ332222-2-2-2-2-2-20000-222200002i2i−2i−2i000−2i2i000000000022-2-20000002i−2i000000
χ342222-2-2-2-2-2-20000-222200002i2i−2i−2i000−2i2i0000000000-2-222000000−2i2i000000
χ352222-2-2-2-2-2-20000-22220000−2i−2i2i2i0002i−2i000000000022-2-2000000−2i2i000000
χ362222-2-2-2-2-2-20000-22220000−2i−2i2i2i0002i−2i0000000000-2-2220000002i−2i000000
χ374444-44-4-4-4400004-4-4400000000000000000000000000000000000000000
χ384444-4-444-4-400004-44-400000000000000000000000000000000000000000
χ3944-4-4004-4002222−22−2200000022−22000000000000022−2200002-22-200000000000000
χ4044-4-4004-4002222−22−2200000022−220000000000000−22220000-22-2200000000000000
χ4144-4-4004-400−22−222222000000−2222000000000000022−220000-22-2200000000000000
χ4244-4-4004-400−22−222222000000−22220000000000000−222200002-22-200000000000000
χ4344-4-400-44002222−22−22000000−2222000022−2200000000000002-2-2200000000000000
χ4444-4-400-44002222−22−22000000−22220000−22220000000000000-222-200000000000000
χ4544-4-400-4400−22−22222200000022−22000022−220000000000000-222-200000000000000
χ4644-4-400-4400−22−22222200000022−220000−222200000000000002-2-2200000000000000
χ474-44-4-4000404-44-4000000000000000002i2−2i22i2−2i2000000000000000000000000
χ484-44-4-4000404-44-400000000000000000−2i22i2−2i22i2000000000000000000000000
χ494-44-4-400040-44-44000000000000000002i2−2i2−2i22i2000000000000000000000000
χ504-44-4-400040-44-4400000000000000000−2i22i22i2−2i2000000000000000000000000
χ514-4-4404000-422−22−2222000022−22002i2−2i22i2−2i2000000000002i−2i2i−2i000000000000000000
χ524-4-4404000-422−22−2222000022−2200−2i22i2−2i22i200000000000−2i2i−2i2i000000000000000000
χ534-4-4404000-4−222222−220000−2222002i2−2i22i2−2i200000000000−2i2i−2i2i000000000000000000
χ544-4-4404000-4−222222−220000−222200−2i22i2−2i22i2000000000002i−2i2i−2i000000000000000000
χ554-4-440-4000422−22−22220000−22220022−22−2222000000000002-2-22000000000000000000
χ564-4-440-4000422−22−22220000−222200−222222−2200000000000-222-2000000000000000000
χ574-4-440-40004−222222−22000022−220022−22−222200000000000-222-2000000000000000000
χ584-4-440-40004−222222−22000022−2200−222222−22000000000002-2-22000000000000000000
χ598-88-88000-800000000000000000000000000000000000000000000000000

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