Finite Group Databasebeta

← Group #28992

Character table — Group #28992

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size11111111222222224444444444888888888888888816161616
order1222222244444444448888888822244444444488882444
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-11-1-1-1-111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-11-1-1-1-1-111-1
χ6111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111111-1-11
χ7111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11-1-11
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-11111-111-1
χ9111111111-1-1-1-1111-1-11111-1-1-1-1111-1-1-11-1-111-111-1-11-11-1
χ10111111111-1-1-1-1111-1-11111-1-1-1-111-11-1-1-1-1-1111-1-111-11-11
χ11111111111-1-1-1-1111-1-11111-1-1-1-1-1-11-111111-1-1-111-1-1-11-11
χ12111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1111-111-1-11-1-1111-11-1
χ13111111111-1-1-1-1111-1-1-1-1-1-11111111-1111-1-1-1-1-1-1-111-1-111
χ14111111111-1-1-1-1111-1-1-1-1-1-1111111-1111-1-1-1-1-1111-1-111-1-1
χ15111111111-1-1-1-1111-1-1-1-1-1-11111-1-11-1-1-111111-1-1-11111-1-1
χ16111111111-1-1-1-1111-1-1-1-1-1-11111-1-1-11-1-1-11111111-1-1-1-111
χ1722222222-22222-2-2-2-2-200000000002-200-20000200000000
χ1822222222-22222-2-2-2-2-20000000000-220020000-200000000
χ1922222222-2-2-2-2-2-2-2-22200000000002200-20000-200000000
χ2022222222-2-2-2-2-2-2-2-2220000000000-2-20020000200000000
χ21222-2-2-2-22200002-2-20000002i2i−2i−2i00000002i−2i2-2000000000
χ22222-2-2-2-22200002-2-20000002i2i−2i−2i0000000−2i2i-22000000000
χ23222-2-2-2-22200002-2-2000000−2i−2i2i2i00000002i−2i-22000000000
χ24222-2-2-2-22200002-2-2000000−2i−2i2i2i0000000−2i2i2-2000000000
χ252-2222-2-2-222i2i−2i−2i-2-222i−2i2i2i−2i−2i2-22-200000000000000000000
χ262-2222-2-2-222i2i−2i−2i-2-222i−2i−2i−2i2i2i-22-2200000000000000000000
χ272-2222-2-2-22−2i−2i2i2i-2-22−2i2i2i2i−2i−2i-22-2200000000000000000000
χ282-2222-2-2-22−2i−2i2i2i-2-22−2i2i−2i−2i2i2i2-22-200000000000000000000
χ292-2222-2-2-2-22i2i−2i−2i22-2−2i2i000000000000000000002-22i−2i0000
χ302-2222-2-2-2-22i2i−2i−2i22-2−2i2i00000000000000000000-22−2i2i0000
χ312-2222-2-2-2-2−2i−2i2i2i22-22i−2i000000000000000000002-2−2i2i0000
χ322-2222-2-2-2-2−2i−2i2i2i22-22i−2i00000000000000000000-222i−2i0000
χ332-22-2-222-220000-22-20000002i−2i−2i2i2-2002i−2i00000000000000
χ342-22-2-222-220000-22-20000002i−2i−2i2i-2200−2i2i00000000000000
χ352-22-2-222-220000-22-2000000−2i2i2i−2i2-200−2i2i00000000000000
χ362-22-2-222-220000-22-2000000−2i2i2i−2i-22002i−2i00000000000000
χ37444-4-4-4-44-40000-444000000000000000000000000000000
χ3844-44-44-4-400000000002i2−2i22i2−2i2000000000000000000000000
χ3944-44-44-4-40000000000−2i22i2−2i22i2000000000000000000000000
χ4044-4-44-44-404i−4i4i−4i000000000000000000000000000000000
χ4144-4-44-44-40−4i4i−4i4i000000000000000000000000000000000
χ424-44-4-444-4-400004-44000000000000000000000000000000
χ434-4-44-4-444000000000022−22−2222000000000000000000000000
χ444-4-44-4-4440000000000−222222−22000000000000000000000000
χ454-4-4-444-4404-4-44000000000000000000000000000000000
χ464-4-4-444-440-444-4000000000000000000000000000000000

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