Finite Group Databasebeta

← Group #488320

Character table — Group #488320

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111-1-111-1-1-1-111-111-1111-1-1-1-1-1-1-1-1-1-111
χ41111111111111111-1-1111-1-111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111-1-1111-1-111-1-1-1-1-1-111-111-111-111-1-1-1-11111-1-1
χ611111111111111-1-1111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ711111111111111-1-1-1-11-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1
χ811111111111111-1-1-1-11-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-111-11-111-111-111-1-111-1-11-1
χ10111111-1-1-1-1-111-11111-1-1-1-1-1-1-111-1-111-1-111-1111-1-1-111-1-111-11
χ11111111-1-1-1-1-111-111-1-1-1-1-111-1-1-1-1111111-1-11-11-11-1-111-1-1111-1
χ12111111-1-1-1-1-111-111-1-1-1-1-111-1-1-1-111111-11-1-111-1111-1-111-1-1-11
χ13111111-1-1-1-1-111-1-1-111-111-1-111-1-1111111-1-11-1-11-1-1-11111-1-1-11
χ14111111-1-1-1-1-111-1-1-111-111-1-111-1-111111-11-1-11-11-111-1-1-1-1111-1
χ15111111-1-1-1-1-111-1-1-1-1-1-111111111-1-111-11-111-1-1-1111-1-1-1-111-11
χ16111111-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111-11-1-11-1-11111-1-11-1
χ1722222222222-2-2-20022-200220000002-20000000-2-20000000000
χ1822222222222-2-2-200-2-2-200-2-20000002-20000000220000000000
χ1922222222-2-2222-2000020000002222-2-2-200-2000000000000000
χ2022222222-2-2222-200002000000-2-2-2-2-2-22002000000000000000
χ2122222222-2-22-2-222200-22200-2-20000-22000000-2000000000000
χ2222222222-2-22-2-22-2-200-2-2-200220000-220000002000000000000
χ23222222-2-222-22220000-200000022-2-2-2-2200-2000000000000000
χ24222222-2-222-22220000-2000000-2-222-2-2-2002000000000000000
χ25222222-2-222-2-2-2-222002-2-200220000-22000000-2000000000000
χ26222222-2-222-2-2-2-2-2-20022200-2-20000-220000002000000000000
χ27222222-2-2-2-2-2-2-220022200-2-20000002-20000000-220000000000
χ28222222-2-2-2-2-2-2-2200-2-2200220000002-200000002-20000000000
χ294444-4-44400-40000000000000000000002-20-220000000000000
χ304444-4-44400-4000000000000000000000-2202-20000000000000
χ314444-4-4-4-4004000000000000000000000220-2-20000000000000
χ324444-4-4-4-4004000000000000000000000-2-20220000000000000
χ3344-4-44-4000004-4000000000000000000000000000000022−220000
χ3444-4-44-4000004-40000000000000000000000000000000−22220000
χ3544-4-44-400000-4400000000000000000000000000000000022−2200
χ3644-4-44-400000-44000000000000000000000000000000000−222200
χ3744-4-4-44004-40000000000000000000000000000002-22-2000000
χ3844-4-4-44004-4000000000000000000000000000000-22-22000000
χ3944-4-4-4400-440000000000000000000000000000002-2-22000000
χ4044-4-4-4400-44000000000000000000000000000000-222-2000000
χ414-4-44004i−4i0000002i−2i2i−2i02-22-2002-22i−2i000000000000000000000
χ424-4-44004i−4i0000002i−2i−2i2i02-2-2200-22−2i2i000000000000000000000
χ434-4-44004i−4i000000−2i2i2i−2i0-222-200-22−2i2i000000000000000000000
χ444-4-44004i−4i000000−2i2i−2i2i0-22-22002-22i−2i000000000000000000000
χ454-4-4400−4i4i0000002i−2i2i−2i0-22-22002-2−2i2i000000000000000000000
χ464-4-4400−4i4i0000002i−2i−2i2i0-222-200-222i−2i000000000000000000000
χ474-4-4400−4i4i000000−2i2i2i−2i02-2-2200-222i−2i000000000000000000000
χ484-4-4400−4i4i000000−2i2i−2i2i02-22-2002-2−2i2i000000000000000000000
χ498-88-800000000000000000004-40000000000000000000000000
χ508-88-80000000000000000000-440000000000000000000000000

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