Finite Group Databasebeta

← Group #33595

Character table — Group #33595

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222222444444488888888888888888816161616
order122224444888888888224444888816161616161616162224
χ11111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ4111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ911-1-11-1-111111-1-111-1-11-11-11-111-1-111-1-111-1-11-11-1
χ1011-1-11-1-111111-1-111-1-11-11-11-111-1-1-1-111-1-111-11-11
χ1111-1-11-1-111111-1-111-1-1-11-111-1-1-11111-1-111-1-1-11-11
χ1211-1-11-1-111111-1-111-1-1-11-111-1-1-111-1-111-1-1111-11-1
χ1311-1-11-1-111111-1-1-1-1111-11-1-11-1-11111-1-1-1-1111-1-11
χ1411-1-11-1-111111-1-1-1-1111-11-1-11-1-111-1-11111-1-1-111-1
χ1511-1-11-1-111111-1-1-1-111-11-11-1111-1-111-1-1-1-111-111-1
χ1611-1-11-1-111111-1-1-1-111-11-11-1111-1-1-1-11111-1-11-1-11
χ17222222222-2-2-2-2-222220000-2-20000000000000000
χ18222222222-2-2-2-2-2-2-2-2-20000220000000000000000
χ19222-2-22-22-222-22-2000022-2-2000000000000000000
χ20222-2-22-22-222-22-20000-2-222000000000000000000
χ21222-2-22-22-2-2-22-2200000000002i−2i2i−2i000000000000
χ22222-2-22-22-2-2-22-220000000000−2i2i−2i2i000000000000
χ23222-2-2-22-22000002-22-200000000002−22−22−22−20000
χ24222-2-2-22-22000002-22-20000000000−22−22−22−220000
χ25222-2-2-22-2200000-22-2200000000002−22−2−22−220000
χ26222-2-2-22-2200000-22-220000000000−22−222−22−20000
χ2722-22-22-2-22000002-2-2200000000002−2−222−2−220000
χ2822-22-22-2-22000002-2-220000000000−222−2−222−20000
χ2922-22-22-2-2200000-222-200000000002−2−22−222−20000
χ3022-22-22-2-2200000-222-20000000000−222−22−2−220000
χ3122-22-2-222-222-2-2200002-2-22000000000000000000
χ3222-22-2-222-222-2-220000-222-2000000000000000000
χ3322-22-2-222-2-2-222-200000000002i−2i−2i2i000000000000
χ3422-22-2-222-2-2-222-20000000000−2i2i2i−2i000000000000
χ3522-2-22-2-222-2-2-22222-2-20000-220000000000000000
χ3622-2-22-2-222-2-2-222-2-22200002-20000000000000000
χ3744444-4-4-4-40000000000000000000000000000000
χ3844-4-4444-4-40000000000000000000000000000000
χ398-8000000042−4200000000000000000000000000000
χ408-80000000−424200000000000000000000000000000

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