Finite Group Databasebeta

← Group #299615

Character table — Group #299615

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122222222444444444448888888816161616161616161616161616161616161616163232
order12222244444444444448888448888882244444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ51111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-11-1
χ61111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111-1-1-1-11111-11
χ71111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111-1
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-11
χ91111111111111-1-1-1-1111111-1-111-1-1-1-11-11-11-11-1111111-1-111-1-1-1-1
χ101111111111111-1-1-1-1111111-1-111-1-1-1-11-11-11-11-1-1-1-1-1-1-111-1-11111
χ111111111111111-1-1-1-1111111-1-111-1-1-1-1-11-11-11-111111-1-111-1-111-1-1
χ121111111111111-1-1-1-1111111-1-111-1-1-1-1-11-11-11-11-1-1-1-111-1-111-1-111
χ131111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-111-111-1-111-1-1-1-111-11
χ141111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1-11-111-1-1-111-1-11111-1-11-1
χ151111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11-1-1111-1-1-1-11111-1-1-11
χ161111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-11-1-11-1-11111-1-1-1-1111-1
χ172222222-2-2-2-22222-2-2-2-222222-2-2-222-2-20000000000000000000000
χ182222222-2-2-2-22222-2-2-2-2-2-2-2-22-222-2-2220000000000000000000000
χ192222222-2-2-2-222-2-222-2-22222-22-2-2-2-2220000000000000000000000
χ202222222-2-2-2-222-2-222-2-2-2-2-2-2-222222-2-20000000000000000000000
χ21222222-22222-2-22222-2-20000-2-20000000000000000002-22-2000000
χ22222222-22222-2-22222-2-20000-2-2000000000000000000-22-22000000
χ23222222-22222-2-2-2-2-2-2-2-20000220000000000000000002-2-22000000
χ24222222-22222-2-2-2-2-2-2-2-2000022000000000000000000-222-2000000
χ25222222-2-2-2-2-2-2-222-2-2220000-2200000000000000000000002-22-200
χ26222222-2-2-2-2-2-2-222-2-2220000-220000000000000000000000-22-2200
χ27222222-2-2-2-2-2-2-2-2-2222200002-200000000000000000000002-2-2200
χ28222222-2-2-2-2-2-2-2-2-2222200002-20000000000000000000000-222-200
χ292222-2-2222-2-22-200002-222-2-2002-2000002020-20-200000000000000
χ302222-2-2222-2-22-200002-222-2-2002-200000-20-2020200000000000000
χ312222-2-2222-2-22-200002-2-2-22200-220000020-2020-200000000000000
χ322222-2-2222-2-22-200002-2-2-22200-2200000-2020-20200000000000000
χ332222-2-22-2-2222-20000-2222-2-200-2200002020-20-2000000000000000
χ342222-2-22-2-2222-20000-2222-2-200-220000-20-20202000000000000000
χ352222-2-22-2-2222-20000-22-2-222002-2000020-2020-2000000000000000
χ362222-2-22-2-2222-20000-22-2-222002-20000-2020-202000000000000000
χ374444-4-4-444-4-4-440000-440000000000000000000000000000000000
χ384444-4-4-4-4-444-4400004-40000000000000000000000000000000000
χ3944-4-40040000-400000004-40000000000000000002-22-20000000000
χ4044-4-40040000-400000004-4000000000000000000-22-220000000000
χ4144-4-40040000-40000000-440000000000000000002-2-220000000000
χ4244-4-40040000-40000000-44000000000000000000-222-20000000000
χ434-4-444-404-44-400000000000000002i2−2i22i2−2i20000000000000000000000
χ444-4-444-404-44-40000000000000000−2i22i2−2i22i20000000000000000000000
χ454-4-444-40-44-4400000000000000002i2−2i2−2i22i20000000000000000000000
χ464-4-444-40-44-440000000000000000−2i22i22i2−2i20000000000000000000000
χ474-4-44-4404-4-44004-44-4000000000000000000000000000000000000
χ484-4-44-4404-4-4400-44-44000000000000000000000000000000000000
χ494-4-44-440-444-4004-4-44000000000000000000000000000000000000
χ504-4-44-440-444-400-444-4000000000000000000000000000000000000
χ5188-8-800-80000800000000000000000000000000000000000000000
χ528-88-80000000000000000042−42000000000000000000000000000000
χ538-88-800000000000000000−4242000000000000000000000000000000

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