Finite Group Databasebeta

← Group #12827

Character table — Group #12827

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order122224444884444888444444448816161616161616164488
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
χ511111111111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-1111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ811111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1111111-1-1
χ911-1-11-111-1-1-111-1-111-111-1-111-1-11-1ii−i−iii−i−ii−ii−i
χ1011-1-11-111-1-1-111-1-111-111-1-111-1-11-1−i−iii−i−iii−ii−ii
χ1111-1-11-111-1-1-111-1-111-1-1-111-1-1111-1ii−i−iii−i−i−ii−ii
χ1211-1-11-111-1-1-111-1-111-1-1-111-1-1111-1−i−iii−i−iiii−ii−i
χ1311-1-11-111-1-1-1-1-11111-111-1-1-1-111-11ii−i−i−i−iiii−i−ii
χ1411-1-11-111-1-1-1-1-11111-111-1-1-1-111-11−i−iiiii−i−i−iii−i
χ1511-1-11-111-1-1-1-1-11111-1-1-11111-1-1-11ii−i−i−i−iii−iii−i
χ1611-1-11-111-1-1-1-1-11111-1-1-11111-1-1-11−i−iiiii−i−ii−i−ii
χ17222222222-2-22222-2-2-200000000-2-2000000000000
χ18222222222-2-2-2-2-2-2-2-2-20000000022000000000000
χ19222-2-222-2-22200002-2-200002i−2i2i−2i00000000000000
χ20222-2-222-2-22200002-2-20000−2i2i−2i2i00000000000000
χ21222-2-222-2-2-2-20000-2222-22-2000000000000000000
χ22222-2-222-2-2-2-20000-222-22-22000000000000000000
χ23222-2-2-2-222002i−2i2i−2i0000000000000i2−i2i2−i22−22−20000
χ24222-2-2-2-222002i−2i2i−2i0000000000000−i2i2−i2i2−22−220000
χ25222-2-2-2-22200−2i2i−2i2i0000000000000i2−i2i2−i2−22−220000
χ26222-2-2-2-22200−2i2i−2i2i0000000000000−i2i2−i2i22−22−20000
χ2722-22-22-22-2002i−2i−2i2i00000000000002−2−22−i2i2i2−i20000
χ2822-22-22-22-2002i−2i−2i2i0000000000000−222−2i2−i2−i2i20000
χ2922-22-22-22-200−2i2i2i−2i00000000000002−2−22i2−i2−i2i20000
χ3022-22-22-22-200−2i2i2i−2i0000000000000−222−2−i2i2i2−i20000
χ3122-22-2-22-22220000-22-22-2-22000000000000000000
χ3222-22-2-22-22220000-22-2-222-2000000000000000000
χ3322-22-2-22-22-2-200002-2200002i−2i−2i2i00000000000000
χ3422-22-2-22-22-2-200002-220000−2i2i2i−2i00000000000000
χ3522-2-22-222-22222-2-2-2-2200000000-22000000000000
χ3622-2-22-222-222-2-222-2-22000000002-2000000000000
χ3744444-4-4-4-40000000000000000000000000000000
χ3844-4-444-4-440000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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