Finite Group Databasebeta

← Group #25518

Character table — Group #25518

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43
size111122222222444444488888888888888888888881616
order1222224444442244444224444444444448888888824
χ11111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ41111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111-1-1-1-11-1-1-111-1-11-111111111-1-1-1-1-1-1
χ6111111111111111-1-1-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1111111
χ7111111111111111-1-1-1-1-11-1-1-1-111-111111-1-1-1-11111-1-1
χ8111111111111111-1-1-1-1-11-1-1-1-111-11-1-1-1-11111-1-1-1-111
χ911111111-1-111-1-1-111111-1-1-11-11-1-1111-1-111-1-111-1-11-1
χ1011111111-1-111-1-1-111111-1-1-11-11-1-11-1-111-1-111-1-111-11
χ1111111111-1-111-1-1-11111-11-1-1-11-111-111-1-1-1-111-1-1111-1
χ1211111111-1-111-1-1-11111-11-1-1-11-111-1-1-11111-1-111-1-1-11
χ1311111111-1-111-1-1-1-1-1-1-111111-1-11-1-111-1-111-1-1-1-111-11
χ1411111111-1-111-1-1-1-1-1-1-111111-1-11-1-1-1-111-1-11111-1-11-1
χ1511111111-1-111-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-11111-1-1-11
χ1611111111-1-111-1-1-1-1-1-1-1-1-111-111-111-1-11111-1-1-1-1111-1
χ17222222-2-222-2-2-2-2222-2-2002-200000000000000000000
χ18222222-2-222-2-2-2-22-2-22200-2200000000000000000000
χ19222222-2-2-2-2-2-222-222-2-200-2200000000000000000000
χ20222222-2-2-2-2-2-222-2-2-222002-200000000000000000000
χ212222-2-22-2222-22-2-20000020000-2-20200000000000000
χ222222-2-22-2222-22-2-200000-20000220-200000000000000
χ232222-2-22-2-2-22-2-22200000200002-20-200000000000000
χ242222-2-22-2-2-22-2-22200000-20000-220200000000000000
χ252222-2-2-2222-22-22-200002000-2-2002000000000000000
χ262222-2-2-2222-22-22-20000-20002200-2000000000000000
χ272222-2-2-22-2-2-222-2200002000-2200-2000000000000000
χ282222-2-2-22-2-2-222-220000-20002-2002000000000000000
χ2922-2-22-22-200-220002i−2i2i−2i000000000000002i−2i002-20000
χ3022-2-22-22-200-220002i−2i2i−2i00000000000000−2i2i00-220000
χ3122-2-22-22-200-22000−2i2i−2i2i000000000000002i−2i00-220000
χ3222-2-22-22-200-22000−2i2i−2i2i00000000000000−2i2i002-20000
χ3322-2-22-2-22002-20002i−2i−2i2i00000000000000002-2002i−2i00
χ3422-2-22-2-22002-20002i−2i−2i2i0000000000000000-2200−2i2i00
χ3522-2-22-2-22002-2000−2i2i2i−2i00000000000000002-200−2i2i00
χ3622-2-22-2-22002-2000−2i2i2i−2i0000000000000000-22002i−2i00
χ3744-4-4-444400-4-40000000000000000000000000000000
χ3844-4-4-44-4-400440000000000000000000000000000000
χ394-44-400004i−4i00000000000000000002i−2i2-20000000000
χ404-44-400004i−4i0000000000000000000−2i2i-220000000000
χ414-44-40000−4i4i00000000000000000002i−2i-220000000000
χ424-44-40000−4i4i0000000000000000000−2i2i2-20000000000
χ438-8-88000000000000000000000000000000000000000

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