Finite Group Databasebeta

← Group #30985

Character table — Group #30985

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222244444444444444448888888888888816161616
order1222222244444444444488888888222224444488882444
χ11111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-1-1-111
χ51111111111111111-1-1-1-111111111-111-1-1-1-1-111-1-1-1-11-1-11
χ61111111111111111-1-1-1-111111111-1-1-111-111-1-1-1-1-1-1-111-1
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111111-11-1
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11
χ9111111111111-1-1-1-111-1-11111-1-1-1-1111-1-1-11111-1-111-1-11-1
χ10111111111111-1-1-1-111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-11111-11
χ11111111111111-1-1-1-111-1-1-1-1-1-1111111111-111-1-111-1-1-1-1-11
χ12111111111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1-1-11111-1-1111-1
χ13111111111111-1-1-1-1-1-1111111-1-1-1-1-111111-1-11111-1-1-11-1-1
χ14111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-111-1-11-111
χ15111111111111-1-1-1-1-1-111-1-1-1-11111-111-1-11-1-1-1-1-1-111-1111
χ16111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-11111111-1-1111-1-1-1
χ1722222222-2-2-2-222-2-2222200000000-20000-2000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000000200002000000000000
χ1922222222-2-2-2-2-2-22222-2-200000000-200002000000000000
χ2022222222-2-2-2-2-2-222-2-2220000000020000-2000000000000
χ21222-22-2-2-200002-2002i−2i2i−2ii2i2−i2−i2i2i2−i2−i200000000002−22−20000
χ22222-22-2-2-200002-2002i−2i2i−2i−i2−i2i2i2−i2−i2i2i20000000000−22−220000
χ23222-22-2-2-200002-200−2i2i−2i2ii2i2−i2−i2i2i2−i2−i20000000000−22−220000
χ24222-22-2-2-200002-200−2i2i−2i2i−i2−i2i2i2−i2−i2i2i200000000002−22−20000
χ25222-22-2-2-20000-22002i−2i−2i2ii2i2−i2−i2−i2−i2i2i20000000000−222−20000
χ26222-22-2-2-20000-22002i−2i−2i2i−i2−i2i2i2i2i2−i2−i200000000002−2−220000
χ27222-22-2-2-20000-2200−2i2i2i−2ii2i2−i2−i2−i2−i2i2i200000000002−2−220000
χ28222-22-2-2-20000-2200−2i2i2i−2i−i2−i2i2i2i2i2−i2−i20000000000−222−20000
χ2922-22-2-22-222-2-2000000002i−2i2i−2i000002-2000002i−2i00000000
χ3022-22-2-22-222-2-2000000002i−2i2i−2i00000-2200000−2i2i00000000
χ3122-22-2-22-222-2-200000000−2i2i−2i2i000002-200000−2i2i00000000
χ3222-22-2-22-222-2-200000000−2i2i−2i2i00000-22000002i−2i00000000
χ332-22-2-2-222-22-220000000000002-22-20002-202-20000000000
χ342-22-2-2-222-22-220000000000002-22-2000-220-220000000000
χ352-22-2-2-222-22-22000000000000-22-220002-20-220000000000
χ362-22-2-2-222-22-22000000000000-22-22000-2202-20000000000
χ3744-44-4-44-4-4-4440000000000000000000000000000000000
χ3844-4-4-44-4400000000000022−22−22220000000000000000000000
χ3944-4-4-44-44000000000000−222222−220000000000000000000000
χ404-444-44-4-400000000000000002i2−2i2−2i22i2000000000000000000
χ414-444-44-4-40000000000000000−2i22i22i2−2i2000000000000000000
χ424-44-4-4-4444-44-40000000000000000000000000000000000
χ434-4-444-4-440000004-4000000000000000000000000000000
χ444-4-444-4-44000000-44000000000000000000000000000000
χ454-4-4-4444-44-4-440000000000000000000000000000000000
χ464-4-4-4444-4-444-40000000000000000000000000000000000

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