Finite Group Databasebeta

← Group #29007

Character table — Group #29007

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888224444442444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ9111111111-1-1-1-11111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-11-11
χ10111111111-1-1-1-11111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1
χ11111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1
χ12111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-11-1-11
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-111-1
χ1722222222-22222-2-2-20000000022-2-222-2-2-2-2000000000000000000000000
χ1822222222-22222-2-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-2222222-2-2000000000000000000000000
χ21222-2-22-2-2-200002-222i2i2i2i−2i−2i−2i−2i0000000000000000000000002-2002i−2i0000
χ22222-2-22-2-2-200002-222i2i2i2i−2i−2i−2i−2i000000000000000000000000-2200−2i2i0000
χ23222-2-22-2-2-200002-22−2i−2i−2i−2i2i2i2i2i0000000000000000000000002-200−2i2i0000
χ24222-2-22-2-2-200002-22−2i−2i−2i−2i2i2i2i2i000000000000000000000000-22002i−2i0000
χ2522-2-22-22-202i2i−2i−2i00022−2−222−2−22i−2i002-20000i2i2−i2−i2i2i2−i2−i222−2−2000000000000
χ2622-2-22-22-202i2i−2i−2i00022−2−222−2−2−2i2i00-220000−i2−i2i2i2i2i2−i2−i2−2−222000000000000
χ2722-2-22-22-202i2i−2i−2i000−2−222−2−2222i−2i002-20000−i2−i2i2i2−i2−i2i2i2−2−222000000000000
χ2822-2-22-22-202i2i−2i−2i000−2−222−2−222−2i2i00-220000i2i2−i2−i2−i2−i2i2i222−2−2000000000000
χ2922-2-22-22-20−2i−2i2i2i00022−2−222−2−22i−2i00-220000i2i2−i2−i2−i2−i2i2i2−2−222000000000000
χ3022-2-22-22-20−2i−2i2i2i00022−2−222−2−2−2i2i002-20000−i2−i2i2i2−i2−i2i2i222−2−2000000000000
χ3122-2-22-22-20−2i−2i2i2i000−2−222−2−2222i−2i00-220000−i2−i2i2i2i2i2−i2−i222−2−2000000000000
χ3222-2-22-22-20−2i−2i2i2i000−2−222−2−222−2i2i002-20000i2i2−i2−i2i2i2−i2−i2−2−222000000000000
χ332-222-2-22-222i−2i2i−2i-2-2200000000002i−2i0000002i−2i2i−2i00002-22-2000000000000
χ342-222-2-22-222i−2i2i−2i-2-2200000000002i−2i000000−2i2i−2i2i0000-22-22000000000000
χ352-222-2-22-22−2i2i−2i2i-2-220000000000−2i2i0000002i−2i2i−2i0000-22-22000000000000
χ362-222-2-22-22−2i2i−2i2i-2-220000000000−2i2i000000−2i2i−2i2i00002-22-2000000000000
χ372-222-2-22-2-22i−2i2i−2i22-22-22-22-22-200−2i2i00000000002i−2i2i−2i0000000000000000
χ382-222-2-22-2-22i−2i2i−2i22-2-22-22-22-2200−2i2i0000000000−2i2i−2i2i0000000000000000
χ392-222-2-22-2-2−2i2i−2i2i22-22-22-22-22-2002i−2i0000000000−2i2i−2i2i0000000000000000
χ402-222-2-22-2-2−2i2i−2i2i22-2-22-22-22-22002i−2i00000000002i−2i2i−2i0000000000000000
χ412-22-22-2-22200002-2-22i−2i2i−2i−2i2i−2i2i00000000000000000000002-2002i−2i000000
χ422-22-22-2-22200002-2-22i−2i2i−2i−2i2i−2i2i0000000000000000000000-2200−2i2i000000
χ432-22-22-2-22200002-2-2−2i2i−2i2i2i−2i2i−2i00000000000000000000002-200−2i2i000000
χ442-22-22-2-22200002-2-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000-22002i−2i000000
χ452-2-2-2-222202-2-220002−2−222−2−220000002-22-22−2−222−2−222−2−22000000000000
χ462-2-2-2-222202-2-220002−2−222−2−22000000-22-22−222−22−2−22−222−2000000000000
χ472-2-2-2-222202-2-22000−222−2−222−20000002-22-2−222−2−222−2−222−2000000000000
χ482-2-2-2-222202-2-22000−222−2−222−2000000-22-222−2−22−222−22−2−22000000000000
χ492-2-2-2-22220-222-20002−2−222−2−220000002-2-222−2−22−222−2−222−2000000000000
χ502-2-2-2-22220-222-20002−2−222−2−22000000-222-2−222−2−222−22−2−22000000000000
χ512-2-2-2-22220-222-2000−222−2−222−20000002-2-22−222−22−2−222−2−22000000000000
χ522-2-2-2-22220-222-2000−222−2−222−2000000-222-22−2−222−2−22−222−2000000000000
χ53444-4-44-4-440000-44-4000000000000000000000000000000000000000000
χ5444-44-4-4-44000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ5544-44-4-4-4400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ564-44-44-4-44-40000-444000000000000000000000000000000000000000000
χ574-4-4444-4-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ584-4-4444-4-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000

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