Finite Group Databasebeta

← Group #103231

Character table — Group #103231

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222224444442244444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ92222222222222222-2-2-2-2-2-200000000000022-2-2000000000000
χ102222222222222222-2-2-2-2-2-2000000000000-2-222000000000000
χ11222222222222-2-2-2-222-2-22-200220000-2-2000000000000000000
χ12222222222222-2-2-2-222-2-22-200-2-2000022000000000000000000
χ13222222222222-2-2-2-2-2-222-22220000-2-200000000000000000000
χ14222222222222-2-2-2-2-2-222-22-2-200002200000000000000000000
χ1522222222-2-2-2-222-2-22222-2-20000220000-2-20000000000000000
χ1622222222-2-2-2-222-2-22222-2-20000-2-20000220000000000000000
χ1722222222-2-2-2-222-2-2-2-2-2-22200000000000000002i2i−2i−2i00000000
χ1822222222-2-2-2-222-2-2-2-2-2-2220000000000000000−2i−2i2i2i00000000
χ1922222222-2-2-2-2-2-22222-2-2-2200000000000000000000000022-2-2
χ2022222222-2-2-2-2-2-22222-2-2-22000000000000000000000000-2-222
χ2122222222-2-2-2-2-2-222-2-2222-20000000000000000000022-2-20000
χ2222222222-2-2-2-2-2-222-2-2222-200000000000000000000-2-2220000
χ232-2-2-222-222-22-22-2-22000000000000000000002-200002−22−22−22−2
χ242-2-2-222-222-22-22-2-22000000000000000000002-20000−22−22−22−22
χ252-2-2-222-222-22-22-2-2200000000000000000000-2200002−22−2−22−22
χ262-2-2-222-222-22-22-2-2200000000000000000000-220000−22−222−22−2
χ272-2-2-222-22-22-22-22-220000000000000000002-20000002−2−222−2−22
χ282-2-2-222-22-22-22-22-220000000000000000002-2000000−222−2−222−2
χ292-2-2-222-22-22-22-22-22000000000000000000-220000002−2−22−222−2
χ302-2-2-222-22-22-22-22-22000000000000000000-22000000−222−22−2−22
χ31444-44-4-4-444-4-4000000000000000000000000002-22-200000000
χ32444-44-4-4-444-4-400000000000000000000000000-22-2200000000
χ33444-44-4-4-4-4-444000000000000000000000000002i−2i−2i2i00000000
χ34444-44-4-4-4-4-44400000000000000000000000000−2i2i2i−2i00000000
χ3544-4-4-444-400000000004-400002i−2i00002i−2i000000000000000000
χ3644-4-4-444-400000000004-40000−2i2i0000−2i2i000000000000000000
χ3744-4-4-444-40000000000-4400002i−2i0000−2i2i000000000000000000
χ3844-4-4-444-40000000000-440000−2i2i00002i−2i000000000000000000
χ394-44-4-4-444000000004-400002-200002-200000000000000000000
χ404-44-4-4-444000000004-40000-220000-2200000000000000000000
χ414-44-4-4-44400000000-4400002-20000-2200000000000000000000
χ424-44-4-4-44400000000-440000-2200002-200000000000000000000
χ434-4-444-44-44-4-44000000000000002i−2i00002i−2i0000000000000000
χ444-4-444-44-44-4-4400000000000000−2i2i0000−2i2i0000000000000000
χ454-4-444-44-4-444-4000000000000002i−2i0000−2i2i0000000000000000
χ464-4-444-44-4-444-400000000000000−2i2i00002i−2i0000000000000000
χ474-4-4-444-444-44-4-444-40000000000000000000000000000000000
χ484-4-4-444-44-44-444-44-40000000000000000000000000000000000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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