Finite Group Databasebeta

← Group #11521

Character table — Group #11521

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222244444444444444448888881616161616161616
order124424444422244444444488888888881616161616161616
χ11111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ511111111111-1-11-1-111-1-1-1-11111-1-111-1-111-1-111-1-1
χ611111111111-1-11-1-111-1-1-1-11111-1-111-1-1-1-111-1-111
χ711111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii
χ811111111111-1-11-1-111-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i
χ911111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-1111-11-11-11-1
χ1011111-1-1-1-11111111-1-1-1-1-1-11111-1-1-1-111-11-11-11-11
χ1111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1i−ii−i−ii−ii
χ1211111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11111-1-1−ii−iii−ii−i
χ1311111-1-1-1-111-1-11-1-1-1-11111111111-1-1-1-11-1-111-1-11
χ1411111-1-1-1-111-1-11-1-1-1-11111111111-1-1-1-1-111-1-111-1
χ1511111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-11111i−i−ii−iii−i
χ1611111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-11111−iii−ii−i−ii
χ172222222222-200-200-2-2000022-2-2002-20000000000
χ182222222222-200-200-2-20000-2-22200-220000000000
χ1922222-2-2-2-22-200-20022000022-2-200-220000000000
χ2022222-2-2-2-22-200-200220000-2-222002-20000000000
χ2122-2-220000-2222-2-2-20000002i−2i2i−2i00002i−2i00000000
χ2222-2-220000-2222-2-2-2000000−2i2i−2i2i0000−2i2i00000000
χ2322-2-220000-22-2-2-2220000002i−2i2i−2i0000−2i2i00000000
χ2422-2-220000-22-2-2-222000000−2i2i−2i2i00002i−2i00000000
χ2522-2-220000-2-2002000022-2-22i−2i−2i2i2i−2i000000000000
χ2622-2-220000-2-2002000022-2-2−2i2i2i−2i−2i2i000000000000
χ2722-2-220000-2-20020000-2-2222i−2i−2i2i−2i2i000000000000
χ2822-2-220000-2-20020000-2-222−2i2i2i−2i2i−2i000000000000
χ294444-40000-40000004i−4i0000000000000000000000
χ304444-40000-4000000−4i4i0000000000000000000000
χ3144-4-4-44i4i−4i−4i4000000000000000000000000000000
χ3244-4-4-4−4i−4i4i4i4000000000000000000000000000000
χ334-44i−4i02+2i−2−2i2−2i−2+2i002-202i−2i002-22i−2i000000000000000000
χ344-44i−4i02+2i−2−2i2−2i−2+2i00-220−2i2i00-22−2i2i000000000000000000
χ354-44i−4i0−2−2i2+2i−2+2i2−2i002-202i−2i00-22−2i2i000000000000000000
χ364-44i−4i0−2−2i2+2i−2+2i2−2i00-220−2i2i002-22i−2i000000000000000000
χ374-4−4i4i02−2i−2+2i2+2i−2−2i002-20−2i2i002-2−2i2i000000000000000000
χ384-4−4i4i02−2i−2+2i2+2i−2−2i00-2202i−2i00-222i−2i000000000000000000
χ394-4−4i4i0−2+2i2−2i−2−2i2+2i002-20−2i2i00-222i−2i000000000000000000
χ404-4−4i4i0−2+2i2−2i−2−2i2+2i00-2202i−2i002-2−2i2i000000000000000000

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