Finite Group Databasebeta

← Group #11774

Character table — Group #11774

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37
size1111222244444444488888888888888161616161616
order1222224422444444422244444444444448888
χ11111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111-1-11-1-111111111-1-1-1-1-1-1
χ4111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1111-1-1-1-1-111111iiii−i−i−i−i-1-1ii−i−i
χ611111111-1-1111-1-1-1-1-111111−i−i−i−iiiii-1-1−i−iii
χ711111111-1-1111-1-1-1-1-1-1-11-1-1iiii−i−i−i−i11−i−iii
χ811111111-1-1111-1-1-1-1-1-1-11-1-1−i−i−i−iiiii11ii−i−i
χ9111111-1-111-1-1-1-1-111-1111-1-111-1-111-1-11-11-11-1
χ10111111-1-111-1-1-1-1-111-1111-1-1-1-111-1-1111-1-11-11
χ11111111-1-111-1-1-1-1-111-1-1-111111-1-111-1-1-11-11-11
χ12111111-1-111-1-1-1-1-111-1-1-1111-1-111-1-111-111-11-1
χ13111111-1-1-1-1-1-1-111-1-11111-1-1ii−i−i−i−iii-11i−i−ii
χ14111111-1-1-1-1-1-1-111-1-11111-1-1−i−iiiii−i−i-11−iii−i
χ15111111-1-1-1-1-1-1-111-1-11-1-1111ii−i−i−i−iii1-1−iii−i
χ16111111-1-1-1-1-1-1-111-1-11-1-1111−i−iiiii−i−i1-1i−i−ii
χ1722222222222-2-222-2-2-200-20000000000000000
χ1822222222-2-22-2-2-2-222200-20000000000000000
χ19222222-2-222-222-2-2-2-2200-20000000000000000
χ20222222-2-2-2-2-2222222-200-20000000000000000
χ212-22-22-2000002-22i−2i2i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000
χ222-22-22-2000002-22i−2i2i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000
χ232-22-22-2000002-2−2i2i−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000
χ242-22-22-2000002-2−2i2i−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000
χ252-22-22-200000-222i−2i−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i000000
χ262-22-22-200000-222i−2i−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i000000
χ272-22-22-200000-22−2i2i2i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i000000
χ282-22-22-200000-22−2i2i2i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i000000
χ294444-4-44400-400000000000000000000000000
χ304444-4-4-4-400400000000000000000000000000
χ3144-4-4004i−4i00000000002-202i−2i00000000000000
χ3244-4-4004i−4i0000000000-220−2i2i00000000000000
χ3344-4-400−4i4i00000000002-20−2i2i00000000000000
χ3444-4-400−4i4i0000000000-2202i−2i00000000000000
χ354-44-4-44004-4000000000000000000000000000
χ364-44-4-4400-44000000000000000000000000000
χ378-8-88000000000000000000000000000000000

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