Extensions 1→N→G→Q→1 with N=D₆ and Q=C₆²

Direct product G=N×Q with N=D₆ and Q=C₆²

		d	ρ	Label	ID
S₃×C₂×C₆²		144		S3xC2xC6^2	432,772

Semidirect products G=N:Q with N=D₆ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₆² = C₃×C₆×D₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₆	144		D6:1C6^2	432,702
D₆⋊₂C₆² = S₃×D₄×C₃²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₆	72		D6:2C6^2	432,704
D₆⋊₃C₆² = C₃×C₆×C₃⋊D₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₆	72		D6:3C6^2	432,709

Non-split extensions G=N.Q with N=D₆ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁C₆² = C₃²×C₄○D₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₆	72		D6.1C6^2	432,703
D₆.₂C₆² = C₃²×D₄⋊₂S₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₆	72		D6.2C6^2	432,705
D₆.₃C₆² = C₃²×Q₈⋊₃S₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Out D₆	144		D6.3C6^2	432,707
D₆.₄C₆² = S₃×C₆×C₁₂	φ: trivial image	144		D6.4C6^2	432,701
D₆.₅C₆² = S₃×Q₈×C₃²	φ: trivial image	144		D6.5C6^2	432,706

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