Dimension2 $C_3:S_3.C_2$
Group $G=C_3:S_3.C_2$ does not have irreducible 3-dimensional representation. Its 3-cover $C_3^2:S_3.C_2$ has 8 irreducible 3-dimensional representations and form 2 classes of representations up to 1-dimensional representation.
The Magma code and all details are in the following files:
- Representaion 1: Magma code: $(1)C_3:S_3.C_2$, Magma state: $(1)C_3:S_3.C_2$ Magma.
- Representaion 2: Magma code: $(2)C_3:S_3.C_2$, Magma state: $(2)C_3:S_3.C_2$ Magma.