Finite Group Databasebeta

← Group #12959

Character table — Group #12959

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111224444444444444444448888888888161616161616
order1222222222444444444444444444444444444488
χ11111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1
χ4111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1-1-11111
χ511111111111-1-1-1-11111-1-1-1-11-1-11111-1-111-1-111-1-1
χ611111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1-1-1-11111-1-111
χ711111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ811111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1
χ911-1-11-11-11-1-111-1-1ii−i−iii−i−i1i−iii−i−i1-1i−ii−i1-11-1
χ1011-1-11-11-11-1-111-1-1ii−i−iii−i−i1i−i−i−iii1-1i−i−ii-11-11
χ1111-1-11-11-11-1-111-1-1−i−iii−i−iii1−iiii−i−i1-1−iii−i-11-11
χ1211-1-11-11-11-1-111-1-1−i−iii−i−iii1−ii−i−iii1-1−ii−ii1-11-1
χ1311-1-11-11-11-1-1-1-111ii−i−i−i−iii1−iiii−i−i-11i−i−ii1-1-11
χ1411-1-11-11-11-1-1-1-111ii−i−i−i−iii1−ii−i−iii-11i−ii−i-111-1
χ1511-1-11-11-11-1-1-1-111−i−iiiii−i−i1i−iii−i−i-11−ii−ii-111-1
χ1611-1-11-11-11-1-1-1-111−i−iiiii−i−i1i−i−i−iii-11−iii−i1-1-11
χ172222222-2-22-2222200000000-2000000-2-200000000
χ182222222-2-22-2-2-2-2-200000000-20000002200000000
χ19222222-222-2-2000022220000-200000000-2-2000000
χ20222222-222-2-20000-2-2-2-20000-20000000022000000
χ21222222-2-2-2-220000000022222-2-200000000000000
χ22222222-2-2-2-2200000000-2-2-2-222200000000000000
χ2322-2-22-222-2-2222-2-200000000-2000000-2200000000
χ2422-2-22-222-2-22-2-22200000000-20000002-200000000
χ2522-2-22-2-22-22-2000000002i2i−2i−2i2−2i2i00000000000000
χ2622-2-22-2-22-22-200000000−2i−2i2i2i22i−2i00000000000000
χ2722-2-22-2-2-222200002i2i−2i−2i0000-200000000−2i2i000000
χ2822-2-22-2-2-22220000−2i−2i2i2i0000-2000000002i−2i000000
χ294444-4-4000000000000000000002-22-20000000000
χ304444-4-400000000000000000000-22-220000000000
χ3144-4-4-44000000000000000000002i−2i−2i2i0000000000
χ3244-4-4-4400000000000000000000−2i2i2i−2i0000000000
χ334-44-400000002i−2i2i−2i2-22-22i−2i2i−2i00000000000000000
χ344-44-400000002i−2i2i−2i-22-22−2i2i−2i2i00000000000000000
χ354-44-40000000−2i2i−2i2i2-22-2−2i2i−2i2i00000000000000000
χ364-44-40000000−2i2i−2i2i-22-222i−2i2i−2i00000000000000000
χ374-4-4400000002i−2i−2i2i2i−2i−2i2i-222-200000000000000000
χ384-4-4400000002i−2i−2i2i−2i2i2i−2i2-2-2200000000000000000
χ394-4-440000000−2i2i2i−2i2i−2i−2i2i2-2-2200000000000000000
χ404-4-440000000−2i2i2i−2i−2i2i2i−2i-222-200000000000000000

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