Extensions 1→N→G→Q→1 with N=C₂×3_-¹⁺² and Q=C₂²

Direct product G=N×Q with N=C₂×3_-¹⁺² and Q=C₂²

		d	ρ	Label	ID
C₂³×3_-¹⁺²		72		C2^3xES-(3,1)	216,116

Semidirect products G=N:Q with N=C₂×3_-¹⁺² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²)⋊C₂² = C₂²×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×3_-¹⁺²	36		(C2xES-(3,1)):C2^2	216,111

Non-split extensions G=N.Q with N=C₂×3_-¹⁺² and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×3_-¹⁺²).₁C₂² = C₃₆.C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×3_-¹⁺²	72	6-	(C2xES-(3,1)).1C2^2	216,52
(C₂×3_-¹⁺²).₂C₂² = C₄×C₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×3_-¹⁺²	36	6	(C2xES-(3,1)).2C2^2	216,53
(C₂×3_-¹⁺²).₃C₂² = D₃₆⋊C₃	φ: C₂²/C₂ → C₂ ⊆ Out C₂×3_-¹⁺²	36	6+	(C2xES-(3,1)).3C2^2	216,54
(C₂×3_-¹⁺²).₄C₂² = C₂×C₉⋊C₁₂	φ: C₂²/C₂ → C₂ ⊆ Out C₂×3_-¹⁺²	72		(C2xES-(3,1)).4C2^2	216,61
(C₂×3_-¹⁺²).₅C₂² = Dic₉⋊C₆	φ: C₂²/C₂ → C₂ ⊆ Out C₂×3_-¹⁺²	36	6	(C2xES-(3,1)).5C2^2	216,62
(C₂×3_-¹⁺²).₆C₂² = C₂×C₄×3_-¹⁺²	φ: trivial image	72		(C2xES-(3,1)).6C2^2	216,75
(C₂×3_-¹⁺²).₇C₂² = D₄×3_-¹⁺²	φ: trivial image	36	6	(C2xES-(3,1)).7C2^2	216,78
(C₂×3_-¹⁺²).₈C₂² = Q₈×3_-¹⁺²	φ: trivial image	72	6	(C2xES-(3,1)).8C2^2	216,81

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