Finite Group Databasebeta

← Group #12739

Character table — Group #12739

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11112222224444444488888888888888888816161616
order122222444422448888222244448816161616161616164444
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111-1-1-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111
χ81111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-1111111-1-1
χ91-1-111-11-1-111-11-111-1-11-11-11-11-11-1ii−i−iii−i−ii−ii−i
χ101-1-111-11-1-111-11-111-1-11-11-11-11-11-1−i−iii−i−iii−ii−ii
χ111-1-111-11-1-111-11-111-1-1-11-11-11-111-1ii−i−iii−i−i−ii−ii
χ121-1-111-11-1-111-11-111-1-1-11-11-11-111-1−i−iii−i−iiii−ii−i
χ131-1-111-11-1-11-11-1111-1-11-1-111-1-11-11ii−i−i−i−iiii−i−ii
χ141-1-111-11-1-11-11-1111-1-11-1-111-1-11-11−i−iiiii−i−i−iii−i
χ151-1-111-11-1-11-11-1111-1-1-111-1-111-1-11ii−i−i−i−iii−iii−i
χ161-1-111-11-1-11-11-1111-1-1-111-1-111-1-11−i−iiiii−i−ii−i−ii
χ1722222222222222-2-2-2-200000000-2-2000000000000
χ182222222222-2-2-2-2-2-2-2-20000000022000000000000
χ19222222-2-2-2-222-2-2000000000000002−22−22−22−20000
χ20222222-2-2-2-222-2-200000000000000−22−22−22−220000
χ21222222-2-2-2-2-2-222000000000000002−22−2−22−220000
χ22222222-2-2-2-2-2-22200000000000000−22−222−22−20000
χ232222-2-2-22-2200002-22-2002200-2-200000000000000
χ242222-2-2-22-2200002-22-200-2-2002200000000000000
χ252222-2-2-22-220000-22-222200-2-20000000000000000
χ262222-2-2-22-220000-22-22-2-200220000000000000000
χ272-2-222-22-2-222-22-2-2-22200000000-22000000000000
χ282-2-222-22-2-22-22-22-2-222000000002-2000000000000
χ292-2-222-2-222-22-2-2200000000000000i2−i2−i2i2i2−i2−i2i20000
χ302-2-222-2-222-22-2-2200000000000000−i2i2i2−i2−i2i2i2−i20000
χ312-2-222-2-222-2-222-200000000000000i2−i2−i2i2−i2i2i2−i20000
χ322-2-222-2-222-2-222-200000000000000−i2i2i2−i2i2−i2−i2i20000
χ332-2-22-22-2-22200002-2-22002-200-2200000000000000
χ342-2-22-22-2-22200002-2-2200-22002-200000000000000
χ352-2-22-22-2-2220000-222-22-200-220000000000000000
χ362-2-22-22-2-2220000-222-2-22002-20000000000000000
χ374444-4-44-44-4000000000000000000000000000000
χ384-4-44-4444-4-4000000000000000000000000000000
χ3988-8-8000000000000000000000000000000000000
χ408-88-8000000000000000000000000000000000000

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