Finite Group Databasebeta

← Group #12751

Character table — Group #12751

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order122224444882244888224444448816161616161616164488
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
χ511111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ811111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-11111-1-111
χ9111-1-11-11-1-1-11-11-111-11-11-111-1-11-1ii−i−iii−i−ii−ii−i
χ10111-1-11-11-1-1-11-11-111-11-11-111-1-11-1−i−iii−i−iii−ii−ii
χ11111-1-11-11-1-1-11-11-111-1-11-11-1-1111-1ii−i−iii−i−i−ii−ii
χ12111-1-11-11-1-1-11-11-111-1-11-11-1-1111-1−i−iii−i−iiii−ii−i
χ13111-1-11-11-1-1-1-11-1111-11-11-1-1-111-11ii−i−i−i−iii−iii−i
χ14111-1-11-11-1-1-1-11-1111-11-11-1-1-111-11−i−iiiii−i−ii−i−ii
χ15111-1-11-11-1-1-1-11-1111-1-11-1111-1-1-11ii−i−i−i−iiii−i−ii
χ16111-1-11-11-1-1-1-11-1111-1-11-1111-1-1-11−i−iiiii−i−i−iii−i
χ17222222222-2-22222-2-2-200000000-2-2000000000000
χ18222222222-2-2-2-2-2-2-2-2-20000000022000000000000
χ19222-2-22-22-2222-22-2-2-2200000000-22000000000000
χ20222-2-22-22-222-22-22-2-22000000002-2000000000000
χ2122-22-222-2-20022-2-20000000000000i2−i2i2−i2i2−i2i2−i20000
χ2222-22-222-2-20022-2-20000000000000−i2i2−i2i2−i2i2−i2i20000
χ2322-22-222-2-200-2-2220000000000000i2−i2i2−i2−i2i2−i2i20000
χ2422-22-222-2-200-2-2220000000000000−i2i2−i2i2i2−i2i2−i20000
χ2522-22-2-2-2222200002-2-222-2-2000000000000000000
χ2622-22-2-2-2222200002-2-2-2-222000000000000000000
χ2722-22-2-2-222-2-20000-22200002-22-200000000000000
χ2822-22-2-2-222-2-20000-2220000-22-2200000000000000
χ2922-2-222-2-22002-2-2200000000000002−2−222−2−220000
χ3022-2-222-2-22002-2-220000000000000−222−2−222−20000
χ3122-2-222-2-2200-222-200000000000002−2−22−222−20000
χ3222-2-222-2-2200-222-20000000000000−222−22−2−220000
χ3322-2-22-222-2220000-22-200002-2-2200000000000000
χ3422-2-22-222-2220000-22-20000-222-200000000000000
χ3522-2-22-222-2-2-200002-222-2-22000000000000000000
χ3622-2-22-222-2-2-200002-22-222-2000000000000000000
χ3744444-4-4-4-40000000000000000000000000000000
χ38444-4-4-44-440000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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