Finite Group Databasebeta

← Group #486554

Character table — Group #486554

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122224444444444488888888888888816161616161616161616161616161616163232
order12222244444444444444444444444444442224444448888888888
χ111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-111
χ4111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-11111-1-1111111-1-1-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-111-1-11111-1-1-1-11111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-111
χ9111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-111-1-11111-11-11-11-111-1-111-1-11-1
χ10111111-1-1-11-1-1-1-111111-1-1-1-1-111-1-111-1-1111-111-11-1-11-1-111-1-111-11
χ11111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-1111111-1-11-111-1-1-111-1-1111-1
χ12111111-1-1-11-1-1-1-111111-1-1-1-1-1-1-111-1-111111-11-11-11-1111-1-111-1-1-11
χ13111111-1-1-11-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-11-11-1-111-111-1-1-1-111-11
χ14111111-1-1-11-1-1-1-1-1-1-1-11-1111111-1-1-1-11111-1-111-1-11-11-1-11111-1-11-1
χ15111111-1-1-11-1-1-1-1-1-1-1-11-11111-1-11111-1-111-11-1-111-11-1-1-11111-1-1-11
χ16111111-1-1-11-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-11-111-1-1111-1-1-1-1111-1
χ172222222222-2-2-2-2222222-2-22200000000-2-2-2000000000000000000
χ182222222222-2-2-2-2-2-2-2-22222-2-200000000-2-22000000000000000000
χ19222222222-222-2-20000-2-20000000022222-200000-2-2000000000000
χ20222222222-222-2-20000-2-200000000-2-2-2-22-20000022000000000000
χ21222222222-2-2-2220000-2-2000022220000-22000-2-200000000000000
χ22222222222-2-2-2220000-2-20000-2-2-2-20000-220002200000000000000
χ23222222-2-2-22222222222-222-2-200000000-2-2-2000000000000000000
χ24222222-2-2-222222-2-2-2-22-2-2-22200000000-2-22000000000000000000
χ25222222-2-2-2-222-2-20000-22000022-2-20000-22000-2200000000000000
χ26222222-2-2-2-222-2-20000-220000-2-2220000-220002-200000000000000
χ27222222-2-2-2-2-2-2220000-220000000022-2-22-200000-22000000000000
χ28222222-2-2-2-2-2-2220000-2200000000-2-2222-2000002-2000000000000
χ292-2-222-200022-22-22i2i−2i−2i-202i−2i000000000000000000000i2−i2i2−i22−22−200
χ302-2-222-200022-22-22i2i−2i−2i-202i−2i000000000000000000000−i2i2−i2i2−22−2200
χ312-2-222-200022-22-2−2i−2i2i2i-20−2i2i000000000000000000000i2−i2i2−i2−22−2200
χ322-2-222-200022-22-2−2i−2i2i2i-20−2i2i000000000000000000000−i2i2−i2i22−22−200
χ332-2-222-20002-22-222i2i−2i−2i-20−2i2i000000000000000000000i2−i2−i2i22−2−2200
χ342-2-222-20002-22-222i2i−2i−2i-20−2i2i000000000000000000000−i2i2i2−i2−222−200
χ352-2-222-20002-22-22−2i−2i2i2i-202i−2i000000000000000000000i2−i2−i2i2−222−200
χ362-2-222-20002-22-22−2i−2i2i2i-202i−2i000000000000000000000−i2i2i2−i22−2−2200
χ374444-4-444-400000000000000000000000000220000-2-20000000000
χ384444-4-444-400000000000000000000000000-2-20000220000000000
χ394444-4-4-4-44000000000000000000000000002-20000-220000000000
χ404444-4-4-4-4400000000000000000000000000-2200002-20000000000
χ414-44-4004-40000002i−2i2i−2i00002i−2i2i−2i2i−2i2-22-2000000000000000000000
χ424-44-4004-40000002i−2i2i−2i00002i−2i−2i2i−2i2i-22-22000000000000000000000
χ434-44-4004-4000000−2i2i−2i2i0000−2i2i2i−2i2i−2i-22-22000000000000000000000
χ444-44-4004-4000000−2i2i−2i2i0000−2i2i−2i2i−2i2i2-22-2000000000000000000000
χ454-44-400-440000002i−2i2i−2i0000−2i2i2i−2i−2i2i2-2-22000000000000000000000
χ464-44-400-440000002i−2i2i−2i0000−2i2i−2i2i2i−2i-222-2000000000000000000000
χ474-44-400-44000000−2i2i−2i2i00002i−2i2i−2i−2i2i-222-2000000000000000000000
χ484-44-400-44000000−2i2i−2i2i00002i−2i−2i2i2i−2i2-2-22000000000000000000000
χ494-4-444-4000-44-4-44000040000000000000000000000000000000000
χ504-4-444-4000-4-444-4000040000000000000000000000000000000000
χ5188-8-800000000004-4-4400000000000000000000000000000000000
χ5288-8-80000000000-444-400000000000000000000000000000000000
χ538-8-88-8800000000000000000000000000000000000000000000000

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