Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂²

Direct product G=N×Q with N=D₆ and Q=C₂²

		d	ρ	Label	ID
S₃×C₂³		24		S3xC2^3	48,51

Semidirect products G=N:Q with N=D₆ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₂² = C₂×D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₆	24		D6:1C2^2	48,36
D₆⋊₂C₂² = S₃×D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₆	12	4+	D6:2C2^2	48,38
D₆⋊₃C₂² = C₂×C₃⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₆	24		D6:3C2^2	48,43

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁C₂² = C₄○D₁₂	φ: C₂²/C₂ → C₂ ⊆ Out D₆	24	2	D6.1C2^2	48,37
D₆.₂C₂² = D₄⋊₂S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₆	24	4-	D6.2C2^2	48,39
D₆.₃C₂² = Q₈⋊₃S₃	φ: C₂²/C₂ → C₂ ⊆ Out D₆	24	4+	D6.3C2^2	48,41
D₆.₄C₂² = S₃×C₂×C₄	φ: trivial image	24		D6.4C2^2	48,35
D₆.₅C₂² = S₃×Q₈	φ: trivial image	24	4-	D6.5C2^2	48,40

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