Finite Group Databasebeta

← Group #19241

Character table — Group #19241

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size11112222222244444444444888888888888888816161616
order1222224444444448888888844448888888888884444
χ11111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-1
χ6111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111
χ8111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ91111-1-1-1-11111-11-111-1-111111-11-1111-1-1-1-1-111-1-11-11-1
χ101111-1-1-1-11111-11-111-1-111111-11-1-1-11-1-1-111-1-111-11-11
χ111111-1-1-1-11111-11-111-1-1-1-1-1-1-11-11111-111-1-111-1-1-11-11
χ121111-1-1-1-11111-11-111-1-1-1-1-1-1-11-11-1-11-11111-1-1111-11-1
χ131111-1-1-1-11111-11-1-1-1111111-11-1111-11-1-1-1-1-1-1111-1-11
χ141111-1-1-1-11111-11-1-1-1111111-11-11-1-1-11-1-11111-1-1-111-1
χ151111-1-1-1-11111-11-1-1-111-1-1-1-11-11-111-1111-1-1-1-111-111-1
χ161111-1-1-1-11111-11-1-1-111-1-1-1-11-11-1-1-1-11111111-1-11-1-11
χ17222222222-22-2-2-2-222220000000000-2-2000000000000
χ18222222222-22-2-2-2-2-2-2-2-2000000000022000000000000
χ19222222-2-2-22-222-2-2000000002-2-220000000000000000
χ20222222-2-2-22-222-2-200000000-222-20000000000000000
χ21222222-2-2-2-2-2-2-22200002i2i−2i−2i000000002i−2i0000000000
χ22222222-2-2-2-2-2-2-2220000−2i−2i2i2i00000000−2i2i0000000000
χ232222-2-222-22-22-2-220000000022-2-20000000000000000
χ242222-2-222-22-22-2-2200000000-2-2220000000000000000
χ252222-2-222-2-2-2-222-200002i2i−2i−2i00000000−2i2i0000000000
χ262222-2-222-2-2-2-222-20000−2i−2i2i2i000000002i−2i0000000000
χ272222-2-2-2-22-22-22-2222-2-20000000000-22000000000000
χ282222-2-2-2-22-22-22-22-2-22200000000002-2000000000000
χ2922-2-22-22-220-200002-22-2000000002−200002−22−22−20000
χ3022-2-22-22-220-200002-22-200000000−220000−22−22−220000
χ3122-2-22-22-220-20000-22-22000000002−200002−2−22−220000
χ3222-2-22-22-220-20000-22-2200000000−220000−222−22−20000
χ3322-2-2-22-2220-200002-2-22000000002−20000−222−2−220000
χ3422-2-2-22-2220-200002-2-2200000000−2200002−2−222−20000
χ3522-2-2-22-2220-20000-222-2000000002−20000−22−222−20000
χ3622-2-2-22-2220-20000-222-200000000−2200002−22−2−220000
χ3744-4-44-4-44-40400000000000000000000000000000000
χ3844-4-4-444-4-40400000000000000000000000000000000
χ394-44-40000040-4000000022−2222−2200000000000000000000
χ404-44-40000040-40000000−2222−222200000000000000000000
χ414-44-400000-40400000002i2−2i2−2i22i200000000000000000000
χ424-44-400000-4040000000−2i22i22i2−2i200000000000000000000
χ438-8-88000000000000000000000000000000000000000

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