Extensions 1→N→G→Q→1 with N=C₂×He₃⋊C₃ and Q=C₃

Direct product G=N×Q with N=C₂×He₃⋊C₃ and Q=C₃

		d	ρ	Label	ID
C₆×He₃⋊C₃		162		C6xHe3:C3	486,212

Semidirect products G=N:Q with N=C₂×He₃⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₃)⋊₁C₃ = C₂×C₉²⋊₂C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₃	54	3	(C2xHe3:C3):1C3	486,86
(C₂×He₃⋊C₃)⋊₂C₃ = C₂×C₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₃	54	9	(C2xHe3:C3):2C3	486,88
(C₂×He₃⋊C₃)⋊₃C₃ = C₂×He₃⋊C₃²	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₃	54	9	(C2xHe3:C3):3C3	486,217
(C₂×He₃⋊C₃)⋊₄C₃ = C₂×C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₃	54	9	(C2xHe3:C3):4C3	486,219
(C₂×He₃⋊C₃)⋊₅C₃ = C₂×C₉.He₃	φ: trivial image	54	3	(C2xHe3:C3):5C3	486,214

Non-split extensions G=N.Q with N=C₂×He₃⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃⋊C₃).₁C₃ = C₂×C₉²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₃	54	3	(C2xHe3:C3).1C3	486,85
(C₂×He₃⋊C₃).₂C₃ = C₂×C₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×He₃⋊C₃	54	9	(C2xHe3:C3).2C3	486,90

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