Finite Group Databasebeta

← Group #29913

Character table — Group #29913

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222222224444444444444444444444888888884444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ911111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-111-1-111-1-111
χ1111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-11111-1-111-1-1-1-111
χ1211111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-111-1-111-1-11111-1-1
χ1311111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111-11-1
χ1411111111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-11-11
χ1511111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111-1-1-1-111-11-11
χ1611111111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11-11-1
χ17222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ212-222-2-2-2222-2-200000000002i−2i2i−2i00000000i2−i2i2−i22−22−20000
χ222-222-2-2-2222-2-200000000002i−2i2i−2i00000000−i2i2−i2i2−22−220000
χ232-222-2-2-2222-2-20000000000−2i2i−2i2i00000000i2−i2i2−i2−22−220000
χ242-222-2-2-2222-2-20000000000−2i2i−2i2i00000000−i2i2−i2i22−22−20000
χ252-222-2-2-22-2-22200000000002i−2i−2i2i00000000i2−i2−i2i22−2−220000
χ262-222-2-2-22-2-22200000000002i−2i−2i2i00000000−i2i2i2−i2−222−20000
χ272-222-2-2-22-2-2220000000000−2i2i2i−2i00000000i2−i2−i2i2−222−20000
χ282-222-2-2-22-2-2220000000000−2i2i2i−2i00000000−i2i2i2−i22−2−220000
χ292-22-222-2-22-22-222-2-200002-2000000002i−2i2i−2i000000000000
χ302-22-222-2-22-22-222-2-200002-200000000−2i2i−2i2i000000000000
χ312-22-222-2-22-22-2-2-2220000-2200002i−2i2i−2i0000000000000000
χ322-22-222-2-22-22-2-2-2220000-220000−2i2i−2i2i0000000000000000
χ332-22-222-2-2-22-2222-2-20000-22000000002i−2i−2i2i000000000000
χ342-22-222-2-2-22-2222-2-20000-2200000000−2i2i2i−2i000000000000
χ352-22-222-2-2-22-22-2-22200002-200002i−2i−2i2i0000000000000000
χ362-22-222-2-2-22-22-2-22200002-20000−2i2i2i−2i0000000000000000
χ37444-4-4-44-44-4-440000000000000000000000000000000000
χ38444-4-4-44-4-444-40000000000000000000000000000000000
χ3944-444-4-4-400004-44-4000000000000000000000000000000
χ4044-444-4-4-40000-44-44000000000000000000000000000000
χ4144-4-4-44-44000000004i−4i0000000000000000000000000000
χ4244-4-4-44-4400000000−4i4i0000000000000000000000000000
χ434-4-44-444-400000000004i−4i00000000000000000000000000
χ444-4-44-444-40000000000−4i4i00000000000000000000000000
χ454-4-4-44-44400004-4-44000000000000000000000000000000
χ464-4-4-44-4440000-444-4000000000000000000000000000000

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