Finite Group Databasebeta

← Group #11849

Character table — Group #11849

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222224444444444424444488888888448888
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111-1-11-1-1-1-1-111111iiii−i−i−i−i-1-1ii−i−i
χ61111111111-1-11-1-1-1-1-111111−i−i−i−iiiii-1-1−i−iii
χ71111111111-1-11-1-1-1-1-11-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111-1-11-1-1-1-1-11-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-1-1-111-1-1-1-1-11111-1-1ii−i−iii−i−i1-1i−ii−i
χ10111111-1-1-1-111-1-1-1-1-11111-1-1−i−iii−i−iii1-1−ii−ii
χ11111111-1-1-1-111-1-1-1-1-111-1-111ii−i−iii−i−i-11−ii−ii
χ12111111-1-1-1-111-1-1-1-1-111-1-111−i−iii−i−iii-11i−ii−i
χ13111111-1-1-1-1-1-1-11111-1111-1-111-1-1-1-111-111-1-11
χ14111111-1-1-1-1-1-1-11111-1111-1-1-1-11111-1-1-11-111-1
χ15111111-1-1-1-1-1-1-11111-11-1-11111-1-1-1-1111-1-111-1
χ16111111-1-1-1-1-1-1-11111-11-1-111-1-11111-1-11-11-1-11
χ1722222222-2-222222-2-2-2-2000000000000000000
χ1822222222-2-2-2-22-2-2222-2000000000000000000
χ19222222-2-22222-2-2-222-2-2000000000000000000
χ20222222-2-222-2-2-222-2-22-2000000000000000000
χ212-22-22-2002i−2i2i−2i0002-2000000i2−i22−22−2i2−i2000000
χ222-22-22-2002i−2i2i−2i0002-2000000−i2i2−22−22−i2i2000000
χ232-22-22-2002i−2i−2i2i000-220000002−2−i2i2i2−i2−22000000
χ242-22-22-2002i−2i−2i2i000-22000000−22i2−i2−i2i22−2000000
χ252-22-22-200−2i2i2i−2i000-220000002−2i2−i2−i2i2−22000000
χ262-22-22-200−2i2i2i−2i000-22000000−22−i2i2i2−i22−2000000
χ272-22-22-200−2i2i−2i2i0002-2000000i2−i2−22−22i2−i2000000
χ282-22-22-200−2i2i−2i2i0002-2000000−i2i22−22−2−i2i2000000
χ294444-4-4440000-4000000000000000000000000
χ304444-4-4-4-400004000000000000000000000000
χ314-44-4-4400000004i−4i0000000000000000000000
χ324-44-4-440000000−4i4i0000000000000000000000
χ334-4-44004i−4i000000000002i−2i2-200000000000000
χ344-4-44004i−4i00000000000−2i2i-2200000000000000
χ354-4-4400−4i4i000000000002i−2i-2200000000000000
χ364-4-4400−4i4i00000000000−2i2i2-200000000000000
χ3788-8-8000000000000000000000000000000000

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