Finite Group Databasebeta

← Group #13087

Character table — Group #13087

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222224422224444422244444444444448888
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111-1-1-1-1111111111-1-1-1-1-1-1
χ4111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111-1-11-1-1-1-1-1-1-1-1-11iiii−i−i−i−i11−i−iii
χ81111111111-1-11-1-1-1-1-1-1-1-1-11−i−i−i−iiiii11ii−i−i
χ9111111-1-11111-1-1-111-111-1-1-111-1-111-1-11-11-11-1
χ10111111-1-11111-1-1-111-111-1-1-1-1-111-1-1111-1-11-11
χ11111111-1-11111-1-1-111-1-1-111-111-1-111-1-1-11-11-11
χ12111111-1-11111-1-1-111-1-1-111-1-1-111-1-111-111-11-1
χ13111111-1-111-1-1-111-1-1111-1-1-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-111-1-1-111-1-1111-1-1-1−i−iiiii−i−i-11−iii−i
χ15111111-1-111-1-1-111-1-11-1-111-1ii−i−i−i−iii1-1−iii−i
χ16111111-1-111-1-1-111-1-11-1-111-1−i−iiiii−i−i1-1i−i−ii
χ1722222222-2-222222-2-2-20000-200000000000000
χ1822222222-2-2-2-22-2-22220000-200000000000000
χ19222222-2-2-2-222-2-2-2-2-220000200000000000000
χ20222222-2-2-2-2-2-2-22222-20000200000000000000
χ212-2-222-2002-22-20002-2000000002i−2i002i−2i000000
χ222-2-222-2002-22-20002-200000000−2i2i00−2i2i000000
χ232-2-222-2002-2-22000-22000000002-200-22000000
χ242-2-222-2002-2-22000-2200000000-22002-2000000
χ252-2-222-200-222-2000-220000002i−2i002i−2i00000000
χ262-2-222-200-222-2000-22000000−2i2i00−2i2i00000000
χ272-2-222-200-22-220002-20000002-200-2200000000
χ282-2-222-200-22-220002-2000000-22002-200000000
χ294444-4-4440000-4000000000000000000000000
χ304444-4-4-4-400004000000000000000000000000
χ3144-4-4004i−4i00000000002-22i−2i000000000000000
χ3244-4-4004i−4i0000000000-22−2i2i000000000000000
χ3344-4-400−4i4i00000000002-2−2i2i000000000000000
χ3444-4-400−4i4i0000000000-222i−2i000000000000000
χ354-4-44-4400000004-40000000000000000000000
χ364-4-44-440000000-440000000000000000000000
χ378-88-8000000000000000000000000000000000

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