Finite Group Databasebeta

← Group #7215

Character table — Group #7215

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122222244444444444444448888881616161616161616
order1222222222444444444444444444444488888888
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
χ511111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−i−i−iii
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iiiii−i−i
χ9111111-1-1-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i1-1i−i1-1i−i
χ10111111-1-1-1-111-1-1iiii−i−i−i−i11-1-1-11ii−i−i-11−ii-11−ii
χ11111111-1-1-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iiii−i-11−ii1-1
χ12111111-1-1-1-111-1-1iiii−i−i−i−i-1-1111-1−i−iii−ii1-1i−i-11
χ13111111-1-1-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii1-1−ii1-1−ii
χ14111111-1-1-1-111-1-1−i−i−i−iiiii11-1-1-11−i−iii-11i−i-11i−i
χ15111111-1-1-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−ii−i1-1−ii-11
χ16111111-1-1-1-111-1-1−i−i−i−iiiii-1-1111-1ii−i−i−ii-11i−i1-1
χ172222222222-2-2-2-20000000022-2-22-2000000000000
χ182222222222-2-2-2-200000000-2-222-22000000000000
χ19222222-2-2-2-2-2-222000000002222-2-2000000000000
χ20222222-2-2-2-2-2-22200000000-2-2-2-222000000000000
χ212-22-22-20000002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i2-22i−2i001+i−1−i1−i−1+i00000000
χ222-22-22-20000002i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-22−2i2i00−1−i1+i−1+i1−i00000000
χ232-22-22-20000002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i2-22i−2i00−1−i1+i−1+i1−i00000000
χ242-22-22-20000002i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-22−2i2i001+i−1−i1−i−1+i00000000
χ252-22-22-2000000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i2-2−2i2i001−i−1+i1+i−1−i00000000
χ262-22-22-2000000−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-222i−2i00−1+i1−i−1−i1+i00000000
χ272-22-22-2000000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i2-2−2i2i00−1+i1−i−1−i1+i00000000
χ282-22-22-2000000−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-222i−2i001−i−1+i1+i−1−i00000000
χ294444-4-44-44-4000000000000000000000000000000
χ304444-4-4-44-44000000000000000000000000000000
χ3144-4-400040-400002-22-22-22-2000000000000000000
χ3244-4-400040-40000-22-22-22-22000000000000000000
χ3344-4-4000-40400002i−2i2i−2i−2i2i−2i2i000000000000000000
χ3444-4-4000-4040000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ354-44-4-4400004i−4i0000000000000000000000000000
χ364-44-4-440000−4i4i0000000000000000000000000000
χ374-4-440040-4000002i−2i−2i2i−2i2i2i−2i000000000000000000
χ384-4-440040-400000−2i2i2i−2i2i−2i−2i2i000000000000000000
χ394-4-4400-404000002-2-222-2-22000000000000000000
χ404-4-4400-40400000-222-2-222-2000000000000000000

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