Finite Group Databasebeta

← Group #486144

Character table — Group #486144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244222222444444444444444444442444444448888888844
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-11-1111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1111-1-1-1-111-1-11111-11-11-11-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-11-111111111-1-1
χ511111111-1-1-1-11111111111-1-111-1-1-1-1-1-11111-11-111-111111-1-1-1-1-1-1
χ611111111-1-1-1-11111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-11-11-1-1-1-1111111
χ711111111-1-1-1-11111111-1-11-1-1-1-111-1-11111111111-1-1-1-1-1-1-11111-1-1
χ811111111-1-1-1-11111111-1-11-1-1-1-111-1-11111-1-11-11-1-1-1-11111-1-1-1-111
χ9111111-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-11-1-11-11111-1-111-1-11-1
χ10111111-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-11111-1111-1-1-111-1-111-1-111-11
χ11111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-11111-1-1-111-1-1111-1
χ12111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-111-111-111-1-111-1-1-11
χ13111111-1-1-1-1-1-111-1-1-1-1-111-111-1-11111-1-1111-1-1-111-1-1111-1-1-1-111-11
χ14111111-1-1-1-1-1-111-1-1-1-1-111-111-1-11111-1-111-11-111-1-1-11-1-11111-1-11-1
χ15111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111-11-1-111-1-1-1-11111-1-1-11
χ16111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1111-1-11-1-111-1-1-1-1111-1
χ17222222220000-2-222-2-2222-20022000000-22000000-20-20000000000
χ18222222220000-2-222-2-22-2-2-200-2-2000000-220000002020000000000
χ19222222220000-2-2-2-222200-200002200222-200-20-200000000000000
χ20222222220000-2-2-2-222200-20000-2-200-2-22-20020200000000000000
χ2122222222222222-2-2-2-22002220000-2-200-2-20000000-200000000000
χ2222222222-2-2-2-222-2-2-2-22002-2-200002200-2-20000000200000000000
χ23222222-2-20000-2-222-2-2-200200002200-2-22-20020-200000000000000
χ24222222-2-20000-2-222-2-2-20020000-2-200222-200-20200000000000000
χ25222222-2-20000-2-2-2-222-222200-2-2000000-2200000020-20000000000
χ26222222-2-20000-2-2-2-222-2-2-220022000000-22000000-2020000000000
χ27222222-2-22222222222-200-2-2-200002200-2-20000000-200000000000
χ28222222-2-2-2-2-2-2222222-200-2220000-2-200-2-20000000200000000000
χ292-2-222-20022-2-22-22i−2i2i−2i00000000002i−2i0000000000000i2−i22−2i2−i22−200
χ302-2-222-20022-2-22-22i−2i2i−2i00000000002i−2i0000000000000−i2i2−22−i2i2−2200
χ312-2-222-20022-2-22-2−2i2i−2i2i0000000000−2i2i0000000000000i2−i2−22i2−i2−2200
χ322-2-222-20022-2-22-2−2i2i−2i2i0000000000−2i2i0000000000000−i2i22−2−i2i22−200
χ332-2-222-200-2-2222-22i−2i2i−2i0000000000−2i2i0000000000000i2−i22−2−i2i2−2200
χ342-2-222-200-2-2222-22i−2i2i−2i0000000000−2i2i0000000000000−i2i2−22i2−i22−200
χ352-2-222-200-2-2222-2−2i2i−2i2i00000000002i−2i0000000000000i2−i2−22−i2i22−200
χ362-2-222-200-2-2222-2−2i2i−2i2i00000000002i−2i0000000000000−i2i22−2i2−i2−2200
χ374444-4-4440000000000-4000000000000000220-20-20000000000000
χ384444-4-4440000000000-4000000000000000-2-202020000000000000
χ394444-4-4-4-4000000000040000000000000002-2020-20000000000000
χ404444-4-4-4-400000000004000000000000000-220-2020000000000000
χ414-44-4004i−4i2-22-200000002-202i−2i2i−2i2i−2i002-2000000000000000000000
χ424-44-4004i−4i2-22-20000000-2202i−2i−2i2i−2i2i00-22000000000000000000000
χ434-44-4004i−4i-22-2200000002-20−2i2i2i−2i−2i2i00-22000000000000000000000
χ444-44-4004i−4i-22-220000000-220−2i2i−2i2i2i−2i002-2000000000000000000000
χ454-44-400−4i4i2-22-200000002-20−2i2i−2i2i−2i2i002-2000000000000000000000
χ464-44-400−4i4i2-22-20000000-220−2i2i2i−2i2i−2i00-22000000000000000000000
χ474-44-400−4i4i-22-2200000002-202i−2i−2i2i2i−2i00-22000000000000000000000
χ484-44-400−4i4i-22-220000000-2202i−2i2i−2i−2i2i002-2000000000000000000000
χ494-4-444-4000000-444i−4i−4i4i00000000000000000000000000000000000
χ504-4-444-4000000-44−4i4i4i−4i00000000000000000000000000000000000
χ5188-8-800004-4-4400000000000000000000000000000000000000000
χ5288-8-80000-444-400000000000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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