Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄.A₄

Direct product G=N×Q with N=C₃ and Q=C₄.A₄

		d	ρ	Label	ID
C₃×C₄.A₄		48	2	C3xC4.A4	144,157

Semidirect products G=N:Q with N=C₃ and Q=C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄.A₄) = Dic₃.A₄	φ: C₄.A₄/SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4+	C3:(C4.A4)	144,127

Non-split extensions G=N.Q with N=C₃ and Q=C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄.A₄) = Q₈.C₁₈	central extension (φ=1)	72	2	C3.(C4.A4)	144,36

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C4.A4