Finite Group Databasebeta

← Group #11985

Character table — Group #11985

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222222224444444444888888881616161616161616
order122244444488882444888888161616161616161622448888
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-1-1-1-11-1-11111-1-1iiii−i−i−i−i1-11-1ii−i−i
χ611111111-1-1-1-1-1-1-11-1-11111-1-1iiii−i−i−i−i-11-11−i−iii
χ711111111-1-1-1-1-1-1-11-1-11111-1-1−i−i−i−iiiii1-11-1−i−iii
χ811111111-1-1-1-1-1-1-11-1-11111-1-1−i−i−i−iiiii-11-11ii−i−i
χ91111-1-111111111-1-11-111-1-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111111-1-11-111-1-1-1-111-1-111-1-1-1-111-11-11
χ111111-1-111111111-1-11-111-1-1-1-1-1-111-1-11111-1-1-11-11
χ121111-1-111111111-1-11-111-1-1-1-1-1-111-1-111-1-1111-11-1
χ131111-1-111-1-1-1-1-1-11-1-1111-1-111ii−i−i−i−iii1-1-11i−i−ii
χ141111-1-111-1-1-1-1-1-11-1-1111-1-111ii−i−i−i−iii-111-1−iii−i
χ151111-1-111-1-1-1-1-1-11-1-1111-1-111−i−iiiii−i−i1-1-11−iii−i
χ161111-1-111-1-1-1-1-1-11-1-1111-1-111−i−iiiii−i−i-111-1i−i−ii
χ172222222222-2-2-2-22222-2-2-2-2-2-20000000000000000
χ1822222222-2-22222-22-2-2-2-2-2-2220000000000000000
χ19222222-2-22200002-2-2-20000002−22−22−22−200000000
χ20222222-2-22200002-2-2-2000000−22−22−22−2200000000
χ21222222-2-2-2-20000-2-222000000i2−i2i2−i2−i2i2−i2i200000000
χ22222222-2-2-2-20000-2-222000000−i2i2−i2i2i2−i2i2−i200000000
χ232222-2-22222-2-2-2-2-2-22-2-2-222220000000000000000
χ242222-2-222-2-222222-2-22-2-222-2-20000000000000000
χ252222-2-2-2-2220000-22-220000002−2−222−2−2200000000
χ262222-2-2-2-2220000-22-22000000−222−2−222−200000000
χ272222-2-2-2-2-2-20000222-2000000i2−i2−i2i2−i2i2i2−i200000000
χ282222-2-2-2-2-2-20000222-2000000−i2i2i2−i2i2−i2−i2i200000000
χ2944-4-4004-40000000000004i−4i000000000000000000
χ3044-4-4004-4000000000000−4i4i000000000000000000
χ3144-4-400-440044-4-400000000000000000000000000
χ3244-4-400-4400-4-44400000000000000000000000000
χ334-44-44i−4i000022−2222−22000000002i2−2i20000000000000000
χ344-44-44i−4i0000−2222−222200000000−2i22i20000000000000000
χ354-44-4−4i4i000022−2222−2200000000−2i22i20000000000000000
χ364-44-4−4i4i0000−2222−2222000000002i2−2i20000000000000000
χ374-4-4400004-422−22−2222000022−2200000000000000000000
χ384-4-4400004-4−222222−220000−222200000000000000000000
χ394-4-440000-4422−22−22220000−222200000000000000000000
χ404-4-440000-44−222222−22000022−2200000000000000000000

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