Dimension2 $ASL(2,3)$
Group $G=ASL(2,3)$ has 1 irreducible 3-dimensional representation, but it is not faithful. Its cover group $SU(3,2).C3$ has 7 irreducible 3-dimensional representations, 1 representation is not faithful, the rest 6 representations 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:$(1)ASL(2,3)$, Magma state: $(1)ASL(2,3)$ Magma
- Representaion 2: Magma code:$(2)ASL(2,3)$, Magma state: $(2)ASL(2,3)$ Magma