Finite Group Databasebeta

← Group #27995

Character table — Group #27995

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888444444444444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ9111111111-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ10111111111-1-1-1-11111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ11111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ12111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-111-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-11-1-11
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-111-1-1-1-1111-1-11
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-11111-1-1-111-1
χ1722222222-22222-2-2-2000000002222-2-2-2-2-2-2000000000000000000000000
χ1822222222-22222-2-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-22222-2-222000000000000000000000000
χ21222-22-2-2-2022-2-20002222−2−2−2−22-22-200000022−2−222−2−222−2−2000000000000
χ22222-22-2-2-2022-2-20002222−2−2−2−2-22-22000000−2−22222−2−2−2−222000000000000
χ23222-22-2-2-2022-2-2000−2−2−2−222222-22-2000000−2−222−2−222−2−222000000000000
χ24222-22-2-2-2022-2-2000−2−2−2−22222-22-2200000022−2−2−2−22222−2−2000000000000
χ25222-22-2-2-20-2-2220002222−2−2−2−22-2-2200000022−2−2−2−222−2−222000000000000
χ26222-22-2-2-20-2-2220002222−2−2−2−2-222-2000000−2−222−2−22222−2−2000000000000
χ27222-22-2-2-20-2-222000−2−2−2−222222-2-22000000−2−22222−2−222−2−2000000000000
χ28222-22-2-2-20-2-222000−2−2−2−22222-222-200000022−2−222−2−2−2−222000000000000
χ2922-22-22-2-2200002-2-222-2-222-2-200000000000000000000002-22-200000000
χ3022-22-22-2-2200002-2-222-2-222-2-20000000000000000000000-22-2200000000
χ3122-22-22-2-2200002-2-2-2-222-2-22200000000000000000000002-2-2200000000
χ3222-22-22-2-2200002-2-2-2-222-2-2220000000000000000000000-222-200000000
χ332-222-2-2-2222i−2i2i−2i-2-220000000000002i−2i00002i−2i2i−2i00002-22-2000000000000
χ342-222-2-2-2222i−2i2i−2i-2-220000000000002i−2i0000−2i2i−2i2i0000-22-22000000000000
χ352-222-2-2-222−2i2i−2i2i-2-22000000000000−2i2i00002i−2i2i−2i0000-22-22000000000000
χ362-222-2-2-222−2i2i−2i2i-2-22000000000000−2i2i0000−2i2i−2i2i00002-22-2000000000000
χ372-222-2-2-22-22i−2i2i−2i22-22-22-22-22-20000−2i2i000000002i−2i2i−2i0000000000000000
χ382-222-2-2-22-22i−2i2i−2i22-2-22-22-22-220000−2i2i00000000−2i2i−2i2i0000000000000000
χ392-222-2-2-22-2−2i2i−2i2i22-22-22-22-22-200002i−2i00000000−2i2i−2i2i0000000000000000
χ402-222-2-2-22-2−2i2i−2i2i22-2-22-22-22-2200002i−2i000000002i−2i2i−2i0000000000000000
χ412-22-2-222-202i−2i−2i2i0002−22−2−22−220000002-22i−2ii2−i2−i2i2i2−i2−i2i22−2−22000000000000
χ422-22-2-222-202i−2i−2i2i0002−22−2−22−22000000-22−2i2i−i2i2i2−i2i2−i2−i2i2−222−2000000000000
χ432-22-2-222-202i−2i−2i2i000−22−222−22−20000002-22i−2i−i2i2i2−i2−i2i2i2−i2−222−2000000000000
χ442-22-2-222-202i−2i−2i2i000−22−222−22−2000000-22−2i2ii2−i2−i2i2−i2i2i2−i22−2−22000000000000
χ452-22-2-222-20−2i2i2i−2i0002−22−2−22−220000002-2−2i2i−i2i2i2−i2−i2i2i2−i22−2−22000000000000
χ462-22-2-222-20−2i2i2i−2i0002−22−2−22−22000000-222i−2ii2−i2−i2i2−i2i2i2−i2−222−2000000000000
χ472-22-2-222-20−2i2i2i−2i000−22−222−22−20000002-2−2i2ii2−i2−i2i2i2−i2−i2i2−222−2000000000000
χ482-22-2-222-20−2i2i2i−2i000−22−222−22−2000000-222i−2i−i2i2i2−i2i2−i2−i2i22−2−22000000000000
χ492-2-222-22-2-200002-222-2-222-2-22000000000000000000000000002i−2i2i−2i0000
χ502-2-222-22-2-200002-222-2-222-2-2200000000000000000000000000−2i2i−2i2i0000
χ512-2-222-22-2-200002-22-222-2-222-2000000000000000000000000002i−2i−2i2i0000
χ522-2-222-22-2-200002-22-222-2-222-200000000000000000000000000−2i2i2i−2i0000
χ5344-44-44-4-4-40000-444000000000000000000000000000000000000000000
χ5444-4-4-4-444000000002222−22−22−22−2222220000000000000000000000000000000000
χ5544-4-4-4-44400000000−22−2222222222−22−220000000000000000000000000000000000
χ564-4-444-44-440000-44-4000000000000000000000000000000000000000000
χ574-4-4-444-440000000022−22−2222−222222−220000000000000000000000000000000000
χ584-4-4-444-4400000000−222222−2222−22−22220000000000000000000000000000000000

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