Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃×C₆²

Direct product G=N×Q with N=C₄ and Q=C₃×C₆²

		d	ρ	Label	ID
C₆²×C₁₂		432		C6^2xC12	432,730

Semidirect products G=N:Q with N=C₄ and Q=C₃×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₃×C₆²) = D₄×C₃²×C₆	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₄	216		C4:(C3xC6^2)	432,731

Non-split extensions G=N.Q with N=C₄ and Q=C₃×C₆²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₃×C₆²) = D₈×C₃³	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₄	216		C4.1(C3xC6^2)	432,517
C₄.₂(C₃×C₆²) = SD₁₆×C₃³	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₄	216		C4.2(C3xC6^2)	432,518
C₄.₃(C₃×C₆²) = Q₁₆×C₃³	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₄	432		C4.3(C3xC6^2)	432,519
C₄.₄(C₃×C₆²) = Q₈×C₃²×C₆	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₄	432		C4.4(C3xC6^2)	432,732
C₄.₅(C₃×C₆²) = C₄○D₄×C₃³	φ: C₃×C₆²/C₃²×C₆ → C₂ ⊆ Aut C₄	216		C4.5(C3xC6^2)	432,733
C₄.₆(C₃×C₆²) = M₄(2)×C₃³	central extension (φ=1)	216		C4.6(C3xC6^2)	432,516

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