Finite Group Databasebeta

← Group #33657

Character table — Group #33657

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order122224444882244888888888888816161616161616162244
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ611111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11-1-111-1-11-11-1-1111-111-1-111-1-111-1-111-1-11-11-1
χ1011-1-11-1-111-1-11-11-1-1111-111-1-111-1-1-1-111-1-111-11-11
χ1111-1-11-1-111-1-11-11-1-1111-1-1-111-1-11111-1-111-1-1-11-11
χ1211-1-11-1-111-1-11-11-1-1111-1-1-111-1-111-1-111-1-1111-11-1
χ1311-1-11-1-111-1-1-11-11-111-1111-1-1-1-11111-1-1-1-1111-1-11
χ1411-1-11-1-111-1-1-11-11-111-1111-1-1-1-111-1-11111-1-1-111-1
χ1511-1-11-1-111-1-1-11-11-111-11-1-11111-1-111-1-1-1-111-111-1
χ1611-1-11-1-111-1-1-11-11-111-11-1-11111-1-1-1-11111-1-11-1-11
χ17222222222-2-22222-2-2-2-2-200000000000000000000
χ18222222222-2-2-2-2-2-2-2-2-22200000000000000000000
χ1922222-2-2-2-2002-2-220000000000000i2−i2i2−i2i2−i2i2−i20000
χ2022222-2-2-2-2002-2-220000000000000−i2i2−i2i2−i2i2−i2i20000
χ2122222-2-2-2-200-222-20000000000000i2−i2i2−i2−i2i2−i2i20000
χ2222222-2-2-2-200-222-20000000000000−i2i2−i2i2i2−i2i2−i20000
χ23222-2-22-22-2220000-22-20000002i−2i2i−2i000000000000
χ24222-2-22-22-2220000-22-2000000−2i2i−2i2i000000000000
χ25222-2-22-22-2-2-200002-22002i−2i2i−2i0000000000000000
χ26222-2-22-22-2-2-200002-2200−2i2i−2i2i0000000000000000
χ2722-22-2-222-2220000-2-22002i−2i−2i2i0000000000000000
χ2822-22-2-222-2220000-2-2200−2i2i2i−2i0000000000000000
χ2922-22-2-222-2-2-2000022-20000002i−2i−2i2i000000000000
χ3022-22-2-222-2-2-2000022-2000000−2i2i2i−2i000000000000
χ3122-2-2222-2-20022-2-20000000000000i2−i2−i2i2i2−i2−i2i20000
χ3222-2-2222-2-20022-2-20000000000000−i2i2i2−i2−i2i2i2−i20000
χ3322-2-2222-2-200-2-2220000000000000i2−i2−i2i2−i2i2i2−i20000
χ3422-2-2222-2-200-2-2220000000000000−i2i2i2−i2i2−i2−i2i20000
χ3522-2-22-2-222222-22-22-2-2-2200000000000000000000
χ3622-2-22-2-22222-22-222-2-22-200000000000000000000
χ37444-4-4-44-440000000000000000000000000000000
χ3844-44-44-4-440000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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