Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₆⋊C₂²

Direct product G=N×Q with N=C₃ and Q=C₁₆⋊C₂²

		d	ρ	Label	ID
C₃×C₁₆⋊C₂²		48	4	C3xC16:C2^2	192,942

Semidirect products G=N:Q with N=C₃ and Q=C₁₆⋊C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₆⋊C₂²) = C₁₆⋊D₆	φ: C₁₆⋊C₂²/M₅(2) → C₂ ⊆ Aut C₃	48	4+	C3:1(C16:C2^2)	192,467
C₃⋊₂(C₁₆⋊C₂²) = D₈⋊D₆	φ: C₁₆⋊C₂²/D₁₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C16:C2^2)	192,470
C₃⋊₃(C₁₆⋊C₂²) = D₄₈⋊C₂	φ: C₁₆⋊C₂²/SD₃₂ → C₂ ⊆ Aut C₃	48	4+	C3:3(C16:C2^2)	192,473
C₃⋊₄(C₁₆⋊C₂²) = D₈.D₆	φ: C₁₆⋊C₂²/C₂×D₈ → C₂ ⊆ Aut C₃	48	4	C3:4(C16:C2^2)	192,706
C₃⋊₅(C₁₆⋊C₂²) = Q₁₆⋊D₆	φ: C₁₆⋊C₂²/C₄○D₈ → C₂ ⊆ Aut C₃	48	4+	C3:5(C16:C2^2)	192,752

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