Finite Group Databasebeta

← Group #32971

Character table — Group #32971

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49
size1111222222224444444444444444444444444448888161616161616
order1222224444442222222244444444444444444444444448888
χ11111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ5111111111111-1-1-1-111-1-111-1-11-1-1-1-111-1-11111-1-11111-1-111-1-1
χ6111111111111-1-1-1-111-1-111-1-11-1-1-1-111-1-11111-1-1-1-1-1-111-1-111
χ7111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1
χ911111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-11-11-1
χ1011111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-11
χ1111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-11-1-11-11
χ1211111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-111-11-1
χ1311111111-1-111-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-11111-1-1-111-1-11
χ1411111111-1-111-1-1-1-111-1-111-1-1-11111-1-111-1-1-1-111-1-1111-1-111-1
χ1511111111-1-111-1-1-1-1-1-111-1-111-1111111-1-1-1-111-1-111-1-1-11-111-1
χ1611111111-1-111-1-1-1-1-1-111-1-111-1111111-1-1-1-111-1-1-1-1111-11-1-11
χ17222222-2-222-2-222-2-200000000222-2-20000-2-200000000000000
χ18222222-2-222-2-2-2-222000000002-2-2220000-2-200000000000000
χ19222222-2-2-2-2-2-222-2-200000000-2-2-22200002200000000000000
χ20222222-2-2-2-2-2-2-2-22200000000-222-2-200002200000000000000
χ212222-2-22-2222-20000002200-2-2-2000000222-200-2-20000000000
χ222222-2-22-2222-2000000-2-20022-2000000-2-22-200220000000000
χ232222-2-22-2-2-22-20000002200-2-22000000-2-2-2200220000000000
χ242222-2-22-2-2-22-2000000-2-20022200000022-2200-2-20000000000
χ252222-2-2-2222-2200002200-2-200-200002200-22-2-2000000000000
χ262222-2-2-2222-220000-2-2002200-20000-2-200-2222000000000000
χ272222-2-2-22-2-2-2200002200-2-20020000-2-2002-222000000000000
χ282222-2-2-22-2-2-220000-2-20022002000022002-2-2-2000000000000
χ2922-2-22-22200-2-22-22-22-22-22-22-20000000000000000000000000
χ3022-2-22-22200-2-22-22-2-22-22-22-220000000000000000000000000
χ3122-2-22-22200-2-2-22-222-2-222-2-220000000000000000000000000
χ3222-2-22-22200-2-2-22-22-222-2-222-20000000000000000000000000
χ3322-2-22-2-2-200222-2-2200000000000002i−2i2i−2i002i−2i2i−2i0000000000
χ3422-2-22-2-2-200222-2-220000000000000−2i2i−2i2i00−2i2i−2i2i0000000000
χ3522-2-22-2-2-20022-222-200000000000002i−2i−2i2i002i−2i−2i2i0000000000
χ3622-2-22-2-2-20022-222-20000000000000−2i2i2i−2i00−2i2i2i−2i0000000000
χ3722-2-2-222-200-220000002-200-2202i−2i2i−2i2i−2i0000−2i2i000000000000
χ3822-2-2-222-200-220000002-200-220−2i2i−2i2i−2i2i00002i−2i000000000000
χ3922-2-2-222-200-22000000-22002-202i−2i2i−2i−2i2i00002i−2i000000000000
χ4022-2-2-222-200-22000000-22002-20−2i2i−2i2i2i−2i0000−2i2i000000000000
χ4122-2-2-22-22002-200002-200-220002i−2i−2i2i002i−2i0000−2i2i0000000000
χ4222-2-2-22-22002-200002-200-22000−2i2i2i−2i00−2i2i00002i−2i0000000000
χ4322-2-2-22-22002-20000-22002-20002i−2i−2i2i00−2i2i00002i−2i0000000000
χ4422-2-2-22-22002-20000-22002-2000−2i2i2i−2i002i−2i0000−2i2i0000000000
χ454-44-400004-4000000000000000000000000000002i−2i2i−2i000000
χ464-44-400004-400000000000000000000000000000−2i2i−2i2i000000
χ474-44-40000-44000000000000000000000000000002i−2i−2i2i000000
χ484-44-40000-4400000000000000000000000000000−2i2i2i−2i000000
χ498-8-88000000000000000000000000000000000000000000000

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