Finite Group Databasebeta

← Group #343049

Character table — Group #343049

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222222222448888888888888888161616161616161616161616161632323232
order12222244444444442244444488888888444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111-1-1-1-1-1-11111-1-1-1-11-1111111-1-111-1-1-1-11-1
χ6111111111111111111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-11111-1-111-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111-11111-1-111-1-111-1-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-111-1-1-1-111111-1
χ91111111111111111-1-111-1-1-1-11111-1-1-1-1-1111-1-11111-1-1111-1-1-1
χ101111111111111111-1-111-1-1-1-11111-1-1-1-1-11-1-111-1-1-1-1-1-111-1111
χ111111111111111111-1-111-1-1-1-1-1-1-1-11111-1111-1-1-1-1-1-111-1-11-111
χ121111111111111111-1-111-1-1-1-1-1-1-1-11111-11-1-111111111-1-1-11-1-1
χ131111111111111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-11-11
χ141111111111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11-11-1
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-111-1
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-11
χ1722222222-2-2-222-2-2-2222222-2-200000000-2-20000000000000000
χ1822222222-2-2-222-2-2-222-2-2-2-22200000000-220000000000000000
χ1922222222-2-2-222-2-2-2-2-222-2-222000000002-20000000000000000
χ2022222222-2-2-222-2-2-2-2-2-2-222-2-200000000220000000000000000
χ212222-2-22-22-2-22-222-200000000000022-2-200002-2002-200000000
χ222222-2-22-22-2-22-222-200000000000022-2-20000-2200-2200000000
χ232222-2-22-22-2-22-222-2000000000000-2-22200002-200-2200000000
χ242222-2-22-22-2-22-222-2000000000000-2-2220000-22002-200000000
χ252222-2-2-222-2-2-222-220000000022-2-20000002-2002-20000000000
χ262222-2-2-222-2-2-222-220000000022-2-2000000-2200-220000000000
χ272222-2-2-222-2-2-222-2200000000-2-2220000002-200-220000000000
χ282222-2-2-222-2-2-222-2200000000-2-222000000-22002-20000000000
χ2922-2-22-222000-2-20002-22-22-2002−22−22−22−200000000002−22−20000
χ3022-2-22-222000-2-20002-22-22-200−22−22−22−220000000000−22−220000
χ3122-2-22-222000-2-20002-2-22-22002−22−2−22−2200000000002−2−220000
χ3222-2-22-222000-2-20002-2-22-2200−22−222−22−20000000000−222−20000
χ3322-2-22-222000-2-2000-222-2-22002−22−2−22−220000000000−222−20000
χ3422-2-22-222000-2-2000-222-2-2200−22−222−22−200000000002−2−220000
χ3522-2-22-222000-2-2000-22-222-2002−22−22−22−20000000000−22−220000
χ3622-2-22-222000-2-2000-22-222-200−22−22−22−2200000000002−22−20000
χ37444444-4-4444-4-44-4-40000000000000000000000000000000000
χ38444444-4-4-4-4-4-4-4-4440000000000000000000000000000000000
χ394444-4-44-4-4444-4-4-440000000000000000000000000000000000
χ404444-4-4-44-444-44-44-40000000000000000000000000000000000
χ4144-4-44-4-4-4000440000000004i−4i00000000000000000000000000
χ4244-4-44-4-4-400044000000000−4i4i00000000000000000000000000
χ4344-4-4-444-4000-4400000000000000022−22−2222000000000000000000
χ4444-4-4-444-4000-44000000000000000−222222−22000000000000000000
χ4544-4-4-44-440004-40000000000022−22−22220000000000000000000000
χ4644-4-4-44-440004-400000000000−222222−220000000000000000000000
χ478-88-8000008i−8i000000000000000000000000000000000000000
χ488-88-800000−8i8i000000000000000000000000000000000000000
χ498-8-88000080000-8000000000000000000000000000000000000
χ508-8-880000-800008000000000000000000000000000000000000

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