Finite Group Databasebeta

← Group #254067

Character table — Group #254067

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111222222444488888888888888881616161616161616161616161616161616163232
order12222244444444444444444444444422244444448888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-111-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1
χ51111111111111111-1-1111111-1-111-1-1-111-1-111-11-1-1-1-1-11111-1-1
χ61111111111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-111
χ71111111111111111-1-111-1-1-1-1-1-1-1-111-1111111-1-111111-1-1-1-1-1-1
χ81111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-111-1-1-1-11-1-1-1-1111111
χ911111111111111-1-111-1-11111-1-1-1-11111-1-1-11-1-1-1111-1-111-1-11-1
χ1011111111111111-1-111-1-11111-1-1-1-1111-11-1-1-11-1-11-1-111-1-111-11
χ1111111111111111-1-111-1-1-1-1-1-1-1-111-1-111-1111-1-11-1-1-111-1-1111-1
χ1211111111111111-1-111-1-1-1-1-1-1-1-111-1-11-1111-11-11-111-1-111-1-1-11
χ1311111111111111-1-1-1-1-1-1111111-1-1-1-1-11-1111-11-1-1-1-11111-1-1-11
χ1411111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1111-111-1-111-1-1-1-1111-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111111-11-1-1-11-111111-1-1-1-111-11
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-1-11111-1-11111-1-11-1
χ172222222222-2-2-2-22222-2-20000220000-2000000-2000000000000
χ182222222222-2-2-2-222-2-2-2-20000-2-2000020000002000000000000
χ192222222222-2-2-2-2-2-222220000-2-20000-20000002000000000000
χ202222222222-2-2-2-2-2-2-2-22200002200002000000-2000000000000
χ21222222-2-2-2-22-2-222-2002-222-2-200220000000000-200000000000
χ22222222-2-2-2-22-2-222-2002-2-2-22200-2-20000000000200000000000
χ23222222-2-2-2-22-2-22-2200-2222-2-200-2-20000000000200000000000
χ24222222-2-2-2-22-2-22-2200-22-2-22200220000000000-200000000000
χ25222222-2-2-2-2-222-22-200-2200000000220002-20000-20000000000
χ26222222-2-2-2-2-222-22-200-2200000000-2-2000-22000020000000000
χ27222222-2-2-2-2-222-2-22002-20000000022000-220000-20000000000
χ28222222-2-2-2-2-222-2-22002-200000000-2-20002-2000020000000000
χ292222-2-22-22-222-2-20000002i−2i2i−2i000000002000-20000000002i−2i00
χ302222-2-22-22-222-2-20000002i−2i2i−2i00000000-20002000000000−2i2i00
χ312222-2-22-22-222-2-2000000−2i2i−2i2i000000002000-2000000000−2i2i00
χ322222-2-22-22-222-2-2000000−2i2i−2i2i00000000-200020000000002i−2i00
χ332222-2-2-22-222-22-20000002i−2i−2i2i00000002000-2000000002i−2i0000
χ342222-2-2-22-222-22-20000002i−2i−2i2i0000000-2000200000000−2i2i0000
χ352222-2-2-22-222-22-2000000−2i2i2i−2i00000002000-200000000−2i2i0000
χ362222-2-2-22-222-22-2000000−2i2i2i−2i0000000-20002000000002i−2i0000
χ374444-4-44-44-4-4-444000000000000000000000000000000000000
χ384444-4-4-44-44-44-44000000000000000000000000000000000000
χ394-4-444-44-4-44000000000000000000000000000000002i2−2i2000000
χ404-4-444-44-4-4400000000000000000000000000000000−2i22i2000000
χ414-4-444-4-444-40000000000000000000000000000002i2−2i200000000
χ424-4-444-4-444-4000000000000000000000000000000−2i22i200000000
χ434-4-44-4444-4-40000004i−4i00000000000000000000000000000000
χ444-4-44-4444-4-4000000−4i4i00000000000000000000000000000000
χ454-4-44-44-4-444000000000000004-4000000000000000000000000
χ464-4-44-44-4-44400000000000000-44000000000000000000000000
χ4788-8-80000000000000000000000004i−4i00000000000000000000
χ4888-8-8000000000000000000000000−4i4i00000000000000000000
χ498-88-800000000000000000000004i−4i0000000000000000000000
χ508-88-80000000000000000000000−4i4i0000000000000000000000

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