Finite Group Databasebeta

← Group #24927

Character table — Group #24927

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size1111222222444444444444888888888888888888161616
order1222224444224444448888224444444444888888488
χ11111111111111111111111111111111111111111111
χ211111111111111111111-1-11-111111-1-1-1-1-1111-1-1-1-1-1-1
χ3111111111111111111-1-111-1111-1-1-1111-1-1-1-1-1111-1-1-1
χ4111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111
χ5111111111111-1-1-1-11111111-1-1-1-1-11-1-1-1111-1-1111-11-1
χ6111111111111-1-1-1-11111-1-111-1-1-1-11111-1-11-1-1-1-1-11-11
χ7111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1111111-11
χ8111111111111-1-1-1-111-1-1-1-1-11-1-111-111111-111-1-1-1-11-1
χ91111111111-1-11111-1-11111-11-1-1-1-1-11-1-1111111-1-1-1-11
χ101111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-111-1-1111-11111-1
χ111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-11-1-111-1
χ121111111111-1-11111-1-1-1-1-1-11-1-1-1111-11111-1-1-1-111-1-11
χ131111111111-1-1-1-1-1-1-1-11111-1-11111-1-111111-1-11-1-11-1-1
χ141111111111-1-1-1-1-1-1-1-111-1-1-111111-11-1-1-1-11-1-1-111-111
χ151111111111-1-1-1-1-1-1-1-1-1-1111-111-1-11-111-1-1-1111-1-1-111
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-111-1111-1-1
χ172222-2-22-22-20022-2-20000220200000-20000000-200000
χ182222-2-22-22-20022-2-20000-2-20-20000020000000200000
χ192222-2-22-22-200-2-2220000220-20000020000000-200000
χ202222-2-22-22-200-2-2220000-2-20200000-20000000200000
χ212222-2-2-22-22220000-2-22200200000-200000-200000000
χ222222-2-2-22-22220000-2-2-2-200-200000200000200000000
χ232222-2-2-22-22-2-20000222200-200000200000-200000000
χ242222-2-2-22-22-2-2000022-2-200200000-200000200000000
χ252-2-222-22-2-22002i−2i2i−2i000000000000002-20000002i−2i000
χ262-2-222-22-2-22002i−2i2i−2i00000000000000-22000000−2i2i000
χ272-2-222-22-2-2200−2i2i−2i2i000000000000002-2000000−2i2i000
χ282-2-222-22-2-2200−2i2i−2i2i00000000000000-220000002i−2i000
χ292-2-222-2-222-22-200002-2000000002i−2i00000002i−2i000000
χ302-2-222-2-222-22-200002-200000000−2i2i0000000−2i2i000000
χ312-2-222-2-222-2-220000-22000000002i−2i0000000−2i2i000000
χ322-2-222-2-222-2-220000-2200000000−2i2i00000002i−2i000000
χ332-2-22-2222-2-22-22i−2i−2i2i-220000002i−2i00000000000000000
χ342-2-22-2222-2-22-2−2i2i2i−2i-22000000−2i2i00000000000000000
χ352-2-22-2222-2-2-222i−2i−2i2i2-2000000−2i2i00000000000000000
χ362-2-22-2222-2-2-22−2i2i2i−2i2-20000002i−2i00000000000000000
χ37444444-4-4-4-4000000000000000000000000000000000
χ384-44-40000000000000022−222i2−2i200000000002i−2i000000000
χ394-44-40000000000000022−22−2i22i20000000000−2i2i000000000
χ404-44-400000000000000−22222i2−2i20000000000−2i2i000000000
χ414-44-400000000000000−2222−2i22i200000000002i−2i000000000
χ424-4-44-44-4-444000000000000000000000000000000000
χ4388-8-8000000000000000000000000000000000000000

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