Finite Group Databasebeta

← Group #18313

Character table — Group #18313

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order1222224444444444442224444444888888884444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-111-1-111-111-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-111-1-111-111-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111-1-1-1-111-1-1-1-111-11-111-11-11-111-1-111-1-11-11-1
χ10111111-1-1-1-111-1-1-1-111-11-111-11-11-1-1-111-1-111-11-11
χ11111111-1-1-1-111-1-1-1-111-1-111-11-11-1111-1-111-1-1-11-11
χ12111111-1-1-1-111-1-1-1-111-1-111-11-11-11-1-111-1-1111-11-1
χ13111111-1-1-1-1-1-1-1-1111111-1-11-1-11-1111-1-1-1-1111-1-11
χ14111111-1-1-1-1-1-1-1-1111111-1-11-1-11-11-1-11111-1-1-111-1
χ15111111-1-1-1-1-1-1-1-111111-11-1-111-11-111-1-1-1-111-111-1
χ16111111-1-1-1-1-1-1-1-111111-11-1-111-11-1-1-11111-1-11-1-11
χ17222222222222-2-222-2-2-200-2000000000000000000
χ182222222222-2-2-2-2-2-2-2-22002000000000000000000
χ19222222-2-2-2-22222-2-2-2-2200-2000000000000000000
χ20222222-2-2-2-2-2-22222-2-2-2002000000000000000000
χ212222-2-222-2-2002-2002-200000022-2-2000000000000
χ222222-2-222-2-2002-2002-2000000-2-222000000000000
χ232222-2-222-2-200-2200-220220-2-20000000000000000
χ242222-2-222-2-200-2200-220-2-20220000000000000000
χ252222-2-2-2-222002-200-2202-20-220000000000000000
χ262222-2-2-2-222002-200-220-2202-20000000000000000
χ272222-2-2-2-22200-22002-20000002-2-22000000000000
χ282222-2-2-2-22200-22002-2000000-222-2000000000000
χ2922-2-2-222-22-22i−2i002i−2i000000000000i2−i2i2−i22−22−20000
χ3022-2-2-222-22-22i−2i002i−2i000000000000−i2i2−i2i2−22−220000
χ3122-2-2-222-22-2−2i2i00−2i2i000000000000i2−i2i2−i2−22−220000
χ3222-2-2-222-22-2−2i2i00−2i2i000000000000−i2i2−i2i22−22−20000
χ3322-2-2-22-22-222i−2i00−2i2i000000000000i2−i2−i2i22−2−220000
χ3422-2-2-22-22-222i−2i00−2i2i000000000000−i2i2i2−i2−222−20000
χ3522-2-2-22-22-22−2i2i002i−2i000000000000i2−i2−i2i2−222−20000
χ3622-2-2-22-22-22−2i2i002i−2i000000000000−i2i2i2−i22−2−220000
χ3744-4-44-44-4-44000000000000000000000000000000
χ3844-4-44-4-444-4000000000000000000000000000000
χ398-88-8000000000000000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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