Finite Group Databasebeta

← Group #142926

Character table — Group #142926

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222222244444424888844448888884444888816161616161616164444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ611111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ92222222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ102222222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ11222222-2-22-2222-2-2-2000000000022-2-20000000022−2−222−2−20000
χ12222222-2-22-2222-2-2-2000000000022-2-200000000−2−222−2−2220000
χ13222222-2-22-2222-2-2-20000000000-2-2220000000022−2−2−2−2220000
χ14222222-2-22-2222-2-2-20000000000-2-22200000000−2−22222−2−20000
χ15222222-2-2-22-2-2-22-2222220000-2-2000022-2-20000000000000000
χ16222222-2-2-22-2-2-22-2222220000-2-20000-2-2220000000000000000
χ17222222-2-2-22-2-2-22-22-2-2-2-2000022000000002i2i−2i−2i000000000000
χ18222222-2-2-22-2-2-22-22-2-2-2-200002200000000−2i−2i2i2i000000000000
χ192222-2-222222-2-22-2-222-2-200002-20000000000000000000020-20
χ202222-2-222222-2-22-2-222-2-200002-200000000000000000000-2020
χ212222-2-222222-2-22-2-2-2-2220000-2200000000000000000000020-2
χ222222-2-222222-2-22-2-2-2-2220000-22000000000000000000000-202
χ232222-2-222-2-2-222-2-22000022-2-2000000000000002−22−22−22−20000
χ242222-2-222-2-2-222-2-22000022-2-200000000000000−22−22−22−220000
χ252222-2-222-2-2-222-2-220000-2-222000000000000002−22−2−22−220000
χ262222-2-222-2-2-222-2-220000-2-22200000000000000−22−222−22−20000
χ272222-2-2-2-2-22-22222-222-2-20000-220000000000002-2-2200000000
χ282222-2-2-2-2-22-22222-222-2-20000-22000000000000-222-200000000
χ292222-2-2-2-2-22-22222-2-2-22200002-200000000000000002-2-220000
χ302222-2-2-2-2-22-22222-2-2-22200002-20000000000000000-222-20000
χ3144444444-4-4-4-4-4-44-40000000000000000000000000000000000
χ324444-4-4-4-44-44-4-4-4440000000000000000000000000000000000
χ3344-4-44-4000000000022−2222−222-22-2000022−2200000000000000000000
χ3444-4-44-4000000000022−2222−22-22-220000−222200000000000000000000
χ3544-4-44-40000000000−2222−22222-22-20000−222200000000000000000000
χ3644-4-44-40000000000−2222−2222-22-22000022−2200000000000000000000
χ3744-4-4-44000000000022−22−22222-2-220022−220000000000000000000000
χ3844-4-4-44000000000022−22−2222-222-200−22220000000000000000000000
χ3944-4-4-440000000000−222222−222-2-2200−22220000000000000000000000
χ4044-4-4-440000000000−222222−22-222-20022−220000000000000000000000
χ414-44-4004-444-400-4000000000000000000002-22-2000000000000
χ424-44-4004-444-400-400000000000000000000-22-22000000000000
χ434-44-4004-4-4-4400400000000000000002i−2i2i−2i0000000000000000
χ444-44-4004-4-4-440040000000000000000−2i2i−2i2i0000000000000000
χ454-44-400-444-4-400400000000000000002i−2i−2i2i0000000000000000
χ464-44-400-444-4-40040000000000000000−2i2i2i−2i0000000000000000
χ474-44-400-44-44400-4000000000000000000002i−2i−2i2i000000000000
χ484-44-400-44-44400-400000000000000000000−2i2i2i−2i000000000000
χ498-8-8800000008i−8i0000000000000000000000000000000000000
χ508-8-880000000−8i8i0000000000000000000000000000000000000

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