Finite Group Databasebeta

← Group #508170

Character table — Group #508170

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222222244444488888888881616161616161616161616161616161632323232
order1222224444444444888824448888882244444416161616161616162244
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111-1-1-1-11-1111-1-1-11111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111-1-1-1-11-1111-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-11-1-1-11111111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-11-1-1-1111-1-1-1-1111111-1-1
χ911111111-1-1-1-111-1-1111111-1-1-1-111-1-11-11-1-111-111-1-111-1-11-11-1
χ1011111111-1-1-1-111-1-1111111-1-1-1-111-1-11-11-1-111-1-1-111-1-111-11-11
χ1111111111-1-1-1-111-1-1111111-1-1-1-111-1-1-11-111-1-1111-1-111-1-1-11-11
χ1211111111-1-1-1-111-1-1111111-1-1-1-111-1-1-11-111-1-11-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-11111-1-111-1-1-1-111111-1-1-1-1111-1-1-1-1111-1-11
χ1411111111-1-1-1-111-1-11111-1-111-1-1-1-111111-1-1-1-11-1-11111-1-1-111-1
χ1511111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-11111-111-1-1-1-111-111-1
χ1611111111-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-11111-1-1-11111-1-11-1-11
χ172222222222222222-2-2-2-22222-2-2-2-2-2-200000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2222200000000000000000000
χ1922222222-2-2-2-222-2-2-2-2-2-222-2-222-2-22200000000000000000000
χ2022222222-2-2-2-222-2-2-2-2-2-2-2-2222222-2-200000000000000000000
χ21222222-2-222-2-2-2-22-200002-22-2000000000000002−22−22−22−20000
χ22222222-2-222-2-2-2-22-200002-22-200000000000000−22−22−22−220000
χ23222222-2-222-2-2-2-22-20000-22-22000000000000002−22−2−22−220000
χ24222222-2-222-2-2-2-22-20000-22-2200000000000000−22−222−22−20000
χ25222222-2-2-2-222-2-2-2200002-2-22000000000000002−2−222−2−220000
χ26222222-2-2-2-222-2-2-2200002-2-2200000000000000−222−2−222−20000
χ27222222-2-2-2-222-2-2-220000-222-2000000000000002−2−22−222−20000
χ28222222-2-2-2-222-2-2-220000-222-200000000000000−222−22−2−220000
χ292222-2-2-2-222-2-222-222-22-200002-20000020002-2-2000000000000
χ302222-2-2-2-222-2-222-222-22-200002-200000-2000-222000000000000
χ312222-2-2-2-222-2-222-22-22-220000-22000020-22-2000000000000000
χ322222-2-2-2-222-2-222-22-22-220000-220000-202-22000000000000000
χ332222-2-2-2-2-2-222222-22-22-20000-22000002000-22-2000000000000
χ342222-2-2-2-2-2-222222-22-22-20000-2200000-20002-22000000000000
χ352222-2-2-2-2-2-222222-2-22-2200002-2000020-2-22000000000000000
χ362222-2-2-2-2-2-222222-2-22-2200002-20000-2022-2000000000000000
χ374444-4-4444444-4-4-4-40000000000000000000000000000000000
χ384444-4-444-4-4-4-4-4-4440000000000000000000000000000000000
χ3944-4-44-44-400004-40000000000004i−4i0000000000000000000000
χ4044-4-44-44-400004-4000000000000−4i4i0000000000000000000000
χ4144-4-44-4-440000-440044-4-4000000000000000000000000000000
χ4244-4-44-4-440000-4400-4-444000000000000000000000000000000
χ4344-4-4-444-40000-44004-4-44000000000000000000000000000000
χ4444-4-4-444-40000-4400-444-4000000000000000000000000000000
χ4544-4-4-44-4400004-4000000000000004-400000000000000000000
χ4644-4-4-44-4400004-400000000000000-4400000000000000000000
χ478-88-80000008-800000000000000000000000000000000000000
χ488-88-8000000-8800000000000000000000000000000000000000
χ498-8-8800008-80000000000000000000000000000000000000000
χ508-8-880000-880000000000000000000000000000000000000000

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