Finite Group Databasebeta

← Group #7486

Character table — Group #7486

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34
size1111224444448888888888888888161616161616
order1244242444442244888888888888444444
χ11111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1
χ31111111111111111-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111-1-1-1-11-11-11111iiii−i−i−i−i-1-1ii−i−i
χ611111111-1-1-1-11-11-11111−i−i−i−iiiii-1-1−i−iii
χ711111111-1-1-1-11-11-1-1-1-1-1iiii−i−i−i−i11−i−iii
χ811111111-1-1-1-11-11-1-1-1-1-1−i−i−i−iiiii11ii−i−i
χ911-1-11-1-1111-1-111-1-1ii−i−iii−i−iii−i−ii−i1-11-1
χ1011-1-11-1-1111-1-111-1-1ii−i−i−i−iii−i−iiii−i-11-11
χ1111-1-11-1-1111-1-111-1-1−i−iiiii−i−iii−i−i−ii-11-11
χ1211-1-11-1-1111-1-111-1-1−i−iii−i−iii−i−iii−ii1-11-1
χ1311-1-11-1-11-1-1111-1-11ii−i−i11-1-1-1-111−ii−iii−i
χ1411-1-11-1-11-1-1111-1-11ii−i−i-1-11111-1-1−iii−i−ii
χ1511-1-11-1-11-1-1111-1-11−i−iii11-1-1-1-111i−ii−i−ii
χ1611-1-11-1-11-1-1111-1-11−i−iii-1-11111-1-1i−i−iii−i
χ17222222222222-2-2-2-2000000000000000000
χ1822222222-2-2-2-2-22-22000000000000000000
χ1922-2-22-2-2222-2-2-2-222000000000000000000
χ2022-2-22-2-22-2-222-222-2000000000000000000
χ21444444-4-400000000000000000000000000
χ224444-4-400000000002-22-200000000000000
χ234444-4-40000000000-22-2200000000000000
χ2444-4-44-44-400000000000000000000000000
χ2544-4-4-4400000000002i−2i−2i2i00000000000000
χ2644-4-4-440000000000−2i2i2i−2i00000000000000
χ274-44i−4i00002-22i−2i000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i000000
χ284-44i−4i00002-22i−2i00000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i000000
χ294-44i−4i0000-22−2i2i000000001−i−1+i−1−i1+i−1+i1−i1+i−1−i000000
χ304-44i−4i0000-22−2i2i00000000−1+i1−i1+i−1−i1−i−1+i−1−i1+i000000
χ314-4−4i4i00002-2−2i2i000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i000000
χ324-4−4i4i00002-2−2i2i00000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i000000
χ334-4−4i4i0000-222i−2i000000001+i−1−i−1+i1−i−1−i1+i1−i−1+i000000
χ344-4−4i4i0000-222i−2i00000000−1−i1+i1−i−1+i1+i−1−i−1+i1−i000000

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