Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₂.C₄²

Direct product G=N×Q with N=C₃ and Q=C₂×C₂.C₄²

		d	ρ	Label	ID
C₆×C₂.C₄²		192		C6xC2.C4^2	192,808

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₂.C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₂.C₄²) = S₃×C₂.C₄²	φ: C₂×C₂.C₄²/C₂.C₄² → C₂ ⊆ Aut C₃	96		C3:1(C2xC2.C4^2)	192,222
C₃⋊₂(C₂×C₂.C₄²) = C₂×C₆.C₄²	φ: C₂×C₂.C₄²/C₂³×C₄ → C₂ ⊆ Aut C₃	192		C3:2(C2xC2.C4^2)	192,767

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁