Finite Group Databasebeta

← Group #488000

Character table — Group #488000

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122224444488888888888888888816161616161616161616161616161616163232
order12222244444442244444444444444442444444448888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11-1-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-11111-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11111-1-1-1-111
χ51111111111111-1-111-1-1111111-1-1-1-111-111-111-1-11-1-1-1-1-1-1-1-111
χ61111111111111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1111111111-1-1
χ71111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-1
χ81111111111111-1-111-1-1-1-1-1-1-1-11111111-1-11-1-1-1-1-1-1-1-1-1111111
χ9111111-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-11-11-1-111-1-111-1-11-1
χ10111111-1-1-1-1-11111-1-1-1-111-1-11111-1-1111-11-1-111-1-1-1-111-1-111-11
χ11111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-111-11-11-1-11111-1-1-11
χ12111111-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-111-1111-1-1-1-1111-1
χ13111111-1-1-1-1-111-1-1-1-11111-1-111-1-11111-11-111-1-11-1-1-111-1-1111-1
χ14111111-1-1-1-1-111-1-1-1-11111-1-111-1-11111-1-111-11-11-111-1-111-1-1-11
χ15111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-11-1-11111-1-1-1-111-11
χ16111111-1-1-1-1-111-1-1-1-111-1-111-1-111-1-1111-11-1-11-111-1-11111-1-11-1
χ1722222222222-2-222-2-22200000000002-2000000-2-200000000000
χ1822222222222-2-2-2-2-2-2-2-200000000002-20000002200000000000
χ19222222222-2-222002-2000000002222-2-2-200-2000000000000000
χ20222222222-2-222002-200000000-2-2-2-2-2-22002000000000000000
χ21222222222-2-2-2-200-22002222-2-20000-2200000000-20000000000
χ22222222222-2-2-2-200-2200-2-2-2-2220000-220000000020000000000
χ23222222-2-2-2222200-220000000022-2-2-2-2-2002000000000000000
χ24222222-2-2-2222200-2200000000-2-222-2-2200-2000000000000000
χ25222222-2-2-222-2-2002-20022-2-2-2-20000-220000000020000000000
χ26222222-2-2-222-2-2002-200-2-222220000-2200000000-20000000000
χ27222222-2-2-2-2-2-2-22222-2-200000000002-2000000-2200000000000
χ28222222-2-2-2-2-2-2-2-2-2222200000000002-20000002-200000000000
χ294444-4-444-4000000000000000000000002-20-220000000000000
χ304444-4-444-400000000000000000000000-2202-20000000000000
χ314444-4-4-4-4400000000000000000000000220-2-20000000000000
χ324444-4-4-4-4400000000000000000000000-2-20220000000000000
χ334-44-4004i−4i000002-2002i−2i2-22i−2i002-22i−2i000000000000000000000
χ344-44-4004i−4i000002-2002i−2i-22−2i2i00-22−2i2i000000000000000000000
χ354-44-4004i−4i00000-2200−2i2i2-22i−2i00-22−2i2i000000000000000000000
χ364-44-4004i−4i00000-2200−2i2i-22−2i2i002-22i−2i000000000000000000000
χ374-44-400−4i4i000002-200−2i2i2-2−2i2i002-2−2i2i000000000000000000000
χ384-44-400−4i4i000002-200−2i2i-222i−2i00-222i−2i000000000000000000000
χ394-44-400−4i4i00000-22002i−2i2-2−2i2i00-222i−2i000000000000000000000
χ404-44-400−4i4i00000-22002i−2i-222i−2i002-2−2i2i000000000000000000000
χ414-4-444-4000004-400000000000000000000000000000002i2−2i20000
χ424-4-444-4000004-40000000000000000000000000000000−2i22i20000
χ434-4-444-400000-440000000000000000000000000000000002i2−2i200
χ444-4-444-400000-44000000000000000000000000000000000−2i22i200
χ454-4-44-440004-4000000000000000000000000000002i−2i2i−2i000000
χ464-4-44-440004-400000000000000000000000000000−2i2i−2i2i000000
χ474-4-44-44000-44000000000000000000000000000002i−2i−2i2i000000
χ484-4-44-44000-4400000000000000000000000000000−2i2i2i−2i000000
χ4988-8-800000000000000000004-40000000000000000000000000
χ5088-8-80000000000000000000-440000000000000000000000000

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