Finite Group Databasebeta

← Group #13041

Character table — Group #13041

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111224444444444444444448888888888161616161616
order1222222222222244444444442244444444444488
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1
χ4111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ511111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1
χ611111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111
χ711111111-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ811111111-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1
χ91-11-11-11-111-1-11-11ii−i−iii−i−i-11-11-1i−i1-1i−i1-1i−ii−i
χ101-11-11-11-111-1-11-11ii−i−iii−i−i-1-11-11i−i1-1i−i-11−ii−ii
χ111-11-11-11-111-1-11-11−i−iii−i−iii-11-11-1−ii1-1−ii1-1−ii−ii
χ121-11-11-11-111-1-11-11−i−iii−i−iii-1-11-11−ii1-1−ii-11i−ii−i
χ131-11-11-11-1-1-1111-11ii−i−i−i−iii-11-11-1−ii-11i−i-11i−i−ii
χ141-11-11-11-1-1-1111-11ii−i−i−i−iii-1-11-11−ii-11i−i1-1−iii−i
χ151-11-11-11-1-1-1111-11−i−iiiii−i−i-11-11-1i−i-11−ii-11−iii−i
χ161-11-11-11-1-1-1111-11−i−iiiii−i−i-1-11-11i−i-11−ii1-1i−i−ii
χ172222222-20000-22-222220000-200000000-2-2000000
χ182222222-20000-22-2-2-2-2-20000-20000000022000000
χ19222222-2222222-2-200000000-2000000-2-200000000
χ20222222-22-2-2-2-22-2-200000000-20000002200000000
χ21222222-2-20000-2-220000222220000-2-20000000000
χ22222222-2-20000-2-220000-2-2-2-220000220000000000
χ232-22-22-2220000-2-2-22i2i−2i−2i0000200000000−2i2i000000
χ242-22-22-2220000-2-2-2−2i−2i2i2i00002000000002i−2i000000
χ252-22-22-2-220000-22200002i2i−2i−2i-20000−2i2i0000000000
χ262-22-22-2-220000-2220000−2i−2i2i2i-200002i−2i0000000000
χ272-22-22-2-2-222-2-222-2000000002000000-2200000000
χ282-22-22-2-2-2-2-22222-20000000020000002-200000000
χ294444-4-400000000000000000022-2-2000000000000
χ304444-4-4000000000000000000-2-222000000000000
χ3144-4-400002-22-20002i−2i2i−2i2i−2i2i−2i00000000000000000
χ3244-4-400002-22-2000−2i2i−2i2i−2i2i−2i2i00000000000000000
χ3344-4-40000-22-220002i−2i2i−2i−2i2i−2i2i00000000000000000
χ3444-4-40000-22-22000−2i2i−2i2i2i−2i2i−2i00000000000000000
χ354-44-4-440000000000000000002-2-22000000000000
χ364-44-4-44000000000000000000-222-2000000000000
χ374-4-4400002-2-220002-2-222-2-2200000000000000000
χ384-4-4400002-2-22000-222-2-222-200000000000000000
χ394-4-440000-222-20002-2-22-222-200000000000000000
χ404-4-440000-222-2000-222-22-2-2200000000000000000

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