Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₆²

Direct product G=N×Q with N=Dic₃ and Q=C₆²

		d	ρ	Label	ID
Dic₃×C₆²		144		Dic3xC6^2	432,708

Semidirect products G=N:Q with N=Dic₃ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁C₆² = S₃×D₄×C₃²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Dic₃	72		Dic3:1C6^2	432,704
Dic₃⋊₂C₆² = C₃×C₆×C₃⋊D₄	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Dic₃	72		Dic3:2C6^2	432,709
Dic₃⋊₃C₆² = S₃×C₆×C₁₂	φ: trivial image	144		Dic3:3C6^2	432,701

Non-split extensions G=N.Q with N=Dic₃ and Q=C₆²

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁C₆² = C₃×C₆×Dic₆	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Dic₃	144		Dic3.1C6^2	432,700
Dic₃.₂C₆² = C₃²×C₄○D₁₂	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Dic₃	72		Dic3.2C6^2	432,703
Dic₃.₃C₆² = C₃²×D₄⋊₂S₃	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Dic₃	72		Dic3.3C6^2	432,705
Dic₃.₄C₆² = S₃×Q₈×C₃²	φ: C₆²/C₃×C₆ → C₂ ⊆ Out Dic₃	144		Dic3.4C6^2	432,706
Dic₃.₅C₆² = C₃²×Q₈⋊₃S₃	φ: trivial image	144		Dic3.5C6^2	432,707

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