Finite Group Databasebeta

← Group #104754

Character table — Group #104754

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222224444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111
χ71111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1
χ92222222222222222-2-2-2-2-2-20000220000-2-20000000000000000
χ102222222222222222-2-2-2-2-2-20000-2-20000220000000000000000
χ11222222222222-2-2-2-222-2-22-200000000220000-2-2000000000000
χ12222222222222-2-2-2-222-2-22-200000000-2-2000022000000000000
χ13222222222222-2-2-2-2-2-222-22000000220000-2-200000000000000
χ14222222222222-2-2-2-2-2-222-22000000-2-200002200000000000000
χ1522222222-2-2-2-222-2-22222-2-200000000000000002i2i−2i−2i00000000
χ1622222222-2-2-2-222-2-22222-2-20000000000000000−2i−2i2i2i00000000
χ1722222222-2-2-2-222-2-2-2-2-2-22222-2-2000000000000000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-22000000000000000000002i2i−2i−2i0000
χ2022222222-2-2-2-2-2-22222-2-2-2200000000000000000000−2i−2i2i2i0000
χ2122222222-2-2-2-2-2-222-2-2222-20000000000000000000000002i2i−2i−2i
χ2222222222-2-2-2-2-2-222-2-2222-2000000000000000000000000−2i−2i2i2i
χ232222-2-2-2-222-2-22-22-200000000002-2000000000000002−22−22−22−2
χ242222-2-2-2-222-2-22-22-200000000002-200000000000000−22−22−22−22
χ252222-2-2-2-222-2-22-22-20000000000-22000000000000002−22−2−22−22
χ262222-2-2-2-222-2-22-22-20000000000-2200000000000000−22−222−22−2
χ272222-2-2-2-2-2-222-222-200000000000000002-200000000i2−i2−i2i2i2−i2−i2i2
χ282222-2-2-2-2-2-222-222-200000000000000002-200000000−i2i2i2−i2−i2i2i2−i2
χ292222-2-2-2-2-2-222-222-20000000000000000-2200000000i2−i2−i2i2−i2i2i2−i2
χ302222-2-2-2-2-2-222-222-20000000000000000-2200000000−i2i2i2−i2i2−i2−i2i2
χ314444-4-4-4-444-4-4-44-440000000000000000000000000000000000
χ324444-4-4-4-4-4-4444-4-440000000000000000000000000000000000
χ3344-4-444-4-44-44-4000000000000000000000000002-22-200000000
χ3444-4-444-4-44-44-400000000000000000000000000-22-2200000000
χ3544-4-444-4-4-44-44000000000000000000000000002i−2i−2i2i00000000
χ3644-4-444-4-4-44-4400000000000000000000000000−2i2i2i−2i00000000
χ3744-4-4-4-4444-4-4400000000002-22-2000000000000000000000000
χ3844-4-4-4-4444-4-440000000000-22-22000000000000000000000000
χ3944-4-4-4-444-444-400000000002-2-22000000000000000000000000
χ4044-4-4-4-444-444-40000000000-222-2000000000000000000000000
χ414-44-44-44-400000000004i−4i00000000002i−2i00002-2000000000000
χ424-44-44-44-400000000004i−4i0000000000−2i2i0000-22000000000000
χ434-44-44-44-40000000000−4i4i00000000002i−2i0000-22000000000000
χ444-44-44-44-40000000000−4i4i0000000000−2i2i00002-2000000000000
χ454-4-44-444-4000000004i−4i00000000002i−2i00002-200000000000000
χ464-4-44-444-4000000004i−4i0000000000−2i2i0000-2200000000000000
χ474-4-44-444-400000000−4i4i00000000002i−2i0000-2200000000000000
χ484-4-44-444-400000000−4i4i0000000000−2i2i00002-200000000000000
χ498-88-8-88-88000000000000000000000000000000000000000000
χ508-8-888-8-88000000000000000000000000000000000000000000

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