Finite Group Databasebeta

← Group #13293

Character table — Group #13293

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222224422224444444444488888888444444
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
χ51111111111-1-1-1-11-1-11-11111iiii−i−i−i−i-1-1ii−i−i
χ61111111111-1-1-1-11-1-11-11111−i−i−i−iiiii-1-1−i−iii
χ71111111111-1-1-1-11-1-11-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ81111111111-1-1-1-11-1-11-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-11111-1-1-111-1-111-1-111-1-111-1-11-11-11-1
χ10111111-1-11111-1-1-111-1-111-1-1-1-111-1-1111-1-11-11
χ11111111-1-11111-1-1-111-1-1-1-11111-1-111-1-1-11-11-11
χ12111111-1-11111-1-1-111-1-1-1-111-1-111-1-111-111-11-1
χ13111111-1-111-1-111-1-1-1-1111-1-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-111-1-111-1-1-1-1111-1-1−i−iiiii−i−i-11−iii−i
χ15111111-1-111-1-111-1-1-1-11-1-111ii−i−i−i−iii1-1−iii−i
χ16111111-1-111-1-111-1-1-1-11-1-111−i−iiiii−i−i1-1i−i−ii
χ1722222222-2-222-2-22-2-2-22000000000000000000
χ1822222222-2-2-2-222222-2-2000000000000000000
χ19222222-2-2-2-22222-2-2-22-2000000000000000000
χ20222222-2-2-2-2-2-2-2-2-22222000000000000000000
χ2122-2-22-2002-22-20002-2000000002-2002-2000000
χ2222-2-22-2002-22-20002-200000000-2200-22000000
χ2322-2-22-2002-2-22000-22000000002i−2i00−2i2i000000
χ2422-2-22-2002-2-22000-2200000000−2i2i002i−2i000000
χ2522-2-22-200-222-2000-220000002-2002-200000000
χ2622-2-22-200-222-2000-22000000-2200-2200000000
χ2722-2-22-200-22-220002-20000002i−2i00−2i2i00000000
χ2822-2-22-200-22-220002-2000000−2i2i002i−2i00000000
χ294444-4-444000000-40000000000000000000000
χ304444-4-4-4-400000040000000000000000000000
χ3144-4-4-440000004i−4i00000000000000000000000
χ3244-4-4-44000000−4i4i00000000000000000000000
χ334-4-44004-4000000000002-22-200000000000000
χ344-4-44004-400000000000-22-2200000000000000
χ354-4-4400-44000000000002-2-2200000000000000
χ364-4-4400-4400000000000-222-200000000000000
χ378-88-8000000000000000000000000000000000

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