Finite Group Databasebeta

← Group #24475

Character table — Group #24475

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size11222222244444444448888888888888888816161616
order1222244442222444444222244444888888884488
χ11111111111111111111111111111111111111111
χ211111111111111111111-1-1-11-11111111-1-1-1-1-1-1-1-1
χ311111111111111111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111-1-11-1-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111-1-111-1-111-1111-111-1-111-1-1-1-1-1-11-11-1
χ611111111111-1-111-1-111-1-1-1-1-1-11-1-111-1-11111-11-11
χ711111111111-1-111-1-1-1-1-1111-11-111-1-111-1-1-1-1-11-11
χ811111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-11111111-11-1
χ9111111111-1-111-1-11111-111-1-1-1111-1-1-1-111-1-11-1-11
χ10111111111-1-111-1-11111-1-1-11-11111-1-1-1-1-1-111-111-1
χ11111111111-1-111-1-111-1-1-111-1-1-1-1-1-1111111-1-1-111-1
χ12111111111-1-111-1-111-1-1-1-1-11-11-1-1-11111-1-1111-1-11
χ13111111111-1-1-1-1-1-1-1-111111-11-11-1-1-1-111-1-11111-1-1
χ14111111111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11111-1-1-1-111
χ15111111111-1-1-1-1-1-1-1-1-1-1111-11-1-11111-1-1-1-111-1-111
χ16111111111-1-1-1-1-1-1-1-1-1-11-1-1111-11111-1-111-1-111-1-1
χ17222-2-222-2-22200-2-2000000000002i−2i002i−2i00000000
χ18222-2-222-2-22200-2-200000000000−2i2i00−2i2i00000000
χ19222-2-222-2-2-2-20022000000000002i−2i00−2i2i00000000
χ20222-2-222-2-2-2-2002200000000000−2i2i002i−2i00000000
χ21222-2-2-2-222002-2002-20000020-20000000002-20000
χ22222-2-2-2-222002-2002-200000-202000000000-220000
χ23222-2-2-2-22200-2200-220000020-2000000000-220000
χ24222-2-2-2-22200-2200-2200000-2020000000002-20000
χ2522-22-2-22-222-22-22-2-22002000-20000000000000000
χ2622-22-2-22-222-2-222-22-200-200020000000000000000
χ2722-22-2-22-22-222-2-22-2200-200020000000000000000
χ2822-22-2-22-22-22-22-222-2002000-20000000000000000
χ2922-2-222-2-22002200-2-20002-200000000002-2000000
χ3022-2-222-2-22002200-2-2000-220000000000-22000000
χ3122-2-222-2-2200-2-200220002-20000000000-22000000
χ3222-2-222-2-2200-2-20022000-2200000000002-2000000
χ3322-2-22-222-22-200-220022000000-2002-20000000000
χ3422-2-22-222-22-200-2200-2-2000000200-220000000000
χ3522-2-22-222-2-22002-20022000000-200-220000000000
χ3622-2-22-222-2-22002-200-2-20000002002-20000000000
χ3744444-4-4-4-40000000000000000000000000000000
χ3844-44-44-44-40000000000000000000000000000000
χ398-80000000000000004i−4i000000000000000000000
χ408-8000000000000000−4i4i000000000000000000000

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