Finite Group Databasebeta

← Group #202

Character table — Group #202

Order 48.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24
size111111112222222233333333
order184828483241224624122428482848
χ1111111111111111111111111
χ21ζiζ3-1−ζ−i−ζ31ζiζ3-1−ζ−i−ζ31ζiζ3-1−ζ−i−ζ3
χ31i-1−i1i-1−i1i-1−i1i-1−i1i-1−i1i-1−i
χ41ζ3−iζ-1−ζ3i−ζ1ζ3−iζ-1−ζ3i−ζ1ζ3−iζ-1−ζ3i−ζ
χ51-11-11-11-11-11-11-11-11-11-11-11-1
χ61−ζi−ζ3-1ζ−iζ31−ζi−ζ3-1ζ−iζ31−ζi−ζ3-1ζ−iζ3
χ71−i-1i1−i-1i1−i-1i1−i-1i1−i-1i1−i-1i
χ81−ζ3−i−ζ-1ζ3iζ1−ζ3−i−ζ-1ζ3iζ1−ζ3−i−ζ-1ζ3iζ
χ91111111111111111-1-1-1-1-1-1-1-1
χ101ζiζ3-1−ζ−i−ζ31ζiζ3-1−ζ−i−ζ3-1−ζ−i−ζ31ζiζ3
χ111i-1−i1i-1−i1i-1−i1i-1−i-1−i1i-1−i1i
χ121ζ3−iζ-1−ζ3i−ζ1ζ3−iζ-1−ζ3i−ζ-1−ζ3i−ζ1ζ3−iζ
χ131-11-11-11-11-11-11-11-1-11-11-11-11
χ141−ζi−ζ3-1ζ−iζ31−ζi−ζ3-1ζ−iζ3-1ζ−iζ31−ζi−ζ3
χ151−i-1i1−i-1i1−i-1i1−i-1i-1i1−i-1i1−i
χ161−ζ3−i−ζ-1ζ3iζ1−ζ3−i−ζ-1ζ3iζ-1ζ3iζ1−ζ3−i−ζ
χ1722222222-1-1-1-1-1-1-1-100000000
χ1822ζ2i2ζ3-2−2ζ−2i−2ζ3-1−ζ−i−ζ31ζiζ300000000
χ1922i-2−2i22i-2−2i-1−i1i-1−i1i00000000
χ2022ζ3−2i2ζ-2−2ζ32i−2ζ-1−ζ3i−ζ1ζ3−iζ00000000
χ212-22-22-22-2-11-11-11-1100000000
χ222−2ζ2i−2ζ3-22ζ−2i2ζ3-1ζ−iζ31−ζi−ζ300000000
χ232−2i-22i2−2i-22i-1i1−i-1i1−i00000000
χ242−2ζ3−2i−2ζ-22ζ32i2ζ-1ζ3iζ1−ζ3−i−ζ00000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.