Finite Group Databasebeta

← Group #487999

Character table — Group #487999

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244444442222444444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111-1-11111-1-111-1-1-1-111-1-111111-1-1-1-1-1-1-1-1-1-111
χ4111111111111111-1-11111-1-111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111-1-11111-1-111-1-1-1-1-1-111-1-11111-111-1-1-1-11111-1-1
χ61111111111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-111
χ71111111111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1
χ81111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-111-1-111-111-1-111-1-11-1
χ10111111-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-1-11111-1-1-111-1-111-11
χ11111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-1-11-11-1-111-1-1111-1
χ12111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-1111-1111-1-111-1-1-11
χ13111111-1-1-1-1-111-1-111-1-111-1-111-1-11111-1111-1-1-11-1-1-11111-1-1-11
χ14111111-1-1-1-1-111-1-111-1-111-1-111-1-11111-11-1-111-11-111-1-1-1-1111-1
χ15111111-1-1-1-1-111-1-1-1-1-1-111111111-1-1111-111-1-1-1-1111-1-1-1-111-11
χ16111111-1-1-1-1-111-1-1-1-1-1-111111111-1-1111-1-1-111-1-11-1-11111-1-11-1
χ1722222222222-2-20022-2-200220000002-20000000-2-20000000000
χ1822222222222-2-200-2-2-2-200-2-20000002-20000000220000000000
χ19222222222-2-22200002-20000002222-2-2-2-200000000000000000
χ20222222222-2-22200002-2000000-2-2-2-2-2-22200000000000000000
χ21222222222-2-2-2-22200-222200-2-20000-22000000-2000000000000
χ22222222222-2-2-2-2-2-200-22-2-200220000-220000002000000000000
χ23222222-2-2-222220000-2200000022-2-2-2-2-2200000000000000000
χ24222222-2-2-222220000-22000000-2-222-2-22-200000000000000000
χ25222222-2-2-222-2-222002-2-2-200220000-22000000-2000000000000
χ26222222-2-2-222-2-2-2-2002-22200-2-20000-220000002000000000000
χ27222222-2-2-2-2-2-2-200222200-2-20000002-20000000-220000000000
χ28222222-2-2-2-2-2-2-200-2-22200220000002-200000002-20000000000
χ294444-4-444-40000000000000000000000002-22-20000000000000
χ304444-4-444-4000000000000000000000000-22-220000000000000
χ314444-4-4-4-440000000000000000000000002-2-220000000000000
χ324444-4-4-4-44000000000000000000000000-222-20000000000000
χ3344-4-4004i−4i000002-22-2002i−2i2i−2i002-22i−2i000000000000000000000
χ3444-4-4004i−4i000002-2-22002i−2i−2i2i00-22−2i2i000000000000000000000
χ3544-4-4004i−4i00000-222-200−2i2i2i−2i00-22−2i2i000000000000000000000
χ3644-4-4004i−4i00000-22-2200−2i2i−2i2i002-22i−2i000000000000000000000
χ3744-4-400−4i4i000002-22-200−2i2i−2i2i002-2−2i2i000000000000000000000
χ3844-4-400−4i4i000002-2-2200−2i2i2i−2i00-222i−2i000000000000000000000
χ3944-4-400−4i4i00000-222-2002i−2i−2i2i00-222i−2i000000000000000000000
χ4044-4-400−4i4i00000-22-22002i−2i2i−2i002-2−2i2i000000000000000000000
χ414-44-44-4000004-40000000000000000000000000000000002i2−2i200
χ424-44-44-4000004-4000000000000000000000000000000000−2i22i200
χ434-44-44-400000-4400000000000000000000000000000002i2−2i20000
χ444-44-44-400000-440000000000000000000000000000000−2i22i20000
χ454-44-4-440004-4000000000000000000000000000002i−2i2i−2i000000
χ464-44-4-440004-400000000000000000000000000000−2i2i−2i2i000000
χ474-44-4-44000-44000000000000000000000000000002i−2i−2i2i000000
χ484-44-4-44000-4400000000000000000000000000000−2i2i2i−2i000000
χ498-8-8800000000000000000004i−4i0000000000000000000000000
χ508-8-880000000000000000000−4i4i0000000000000000000000000

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