Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²⋊₄D₆

Direct product G=N×Q with N=C₂² and Q=C₃²⋊₄D₆

		d	ρ	Label	ID
C₂²×C₃²⋊₄D₆		48		C2^2xC3^2:4D6	432,769

Semidirect products G=N:Q with N=C₂² and Q=C₃²⋊₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃²⋊₄D₆) = C₆²⋊₁₀D₆	φ: C₃²⋊₄D₆/C₃⋊S₃ → S₃ ⊆ Aut C₂²	24	12+	C2^2:(C3^2:4D6)	432,748
C₂²⋊₂(C₃²⋊₄D₆) = C₆²⋊₂₄D₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2:2(C3^2:4D6)	432,696

Non-split extensions G=N.Q with N=C₂² and Q=C₃²⋊₄D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²⋊₄D₆) = C₆².₉₆D₆	φ: C₃²⋊₄D₆/C₃×C₃⋊S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2.(C3^2:4D6)	432,693
C₂².₂(C₃²⋊₄D₆) = C₃³⋊₆C₄²	central extension (φ=1)	48		C2^2.2(C3^2:4D6)	432,460
C₂².₃(C₃²⋊₄D₆) = C₆².₈₄D₆	central extension (φ=1)	48		C2^2.3(C3^2:4D6)	432,461
C₂².₄(C₃²⋊₄D₆) = C₆².₈₅D₆	central extension (φ=1)	48		C2^2.4(C3^2:4D6)	432,462
C₂².₅(C₃²⋊₄D₆) = C₂×C₃³⋊₉(C₂×C₄)	central extension (φ=1)	48		C2^2.5(C3^2:4D6)	432,692
C₂².₆(C₃²⋊₄D₆) = C₂×C₃³⋊₉D₄	central extension (φ=1)	48		C2^2.6(C3^2:4D6)	432,694
C₂².₇(C₃²⋊₄D₆) = C₂×C₃³⋊₅Q₈	central extension (φ=1)	48		C2^2.7(C3^2:4D6)	432,695

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