Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=C₃²

Direct product G=N×Q with N=C₂×He₃ and Q=C₃²

		d	ρ	Label	ID
C₃×C₆×He₃		162		C3xC6xHe3	486,251

Semidirect products G=N:Q with N=C₂×He₃ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊₁C₃² = C₆×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	54		(C2xHe3):1C3^2	486,210
(C₂×He₃)⋊₂C₃² = C₆×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	162		(C2xHe3):2C3^2	486,212
(C₂×He₃)⋊₃C₃² = C₂×He₃⋊C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	54	9	(C2xHe3):3C3^2	486,217
(C₂×He₃)⋊₄C₃² = C₂×3₊¹⁺⁴	φ: trivial image	54	9	(C2xHe3):4C3^2	486,254

Non-split extensions G=N.Q with N=C₂×He₃ and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).₁C₃² = C₆×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	162		(C2xHe3).1C3^2	486,211
(C₂×He₃).₂C₃² = C₂×C₉.He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	54	3	(C2xHe3).2C3^2	486,214
(C₂×He₃).₃C₃² = C₂×C₃³⋊C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	54	9	(C2xHe3).3C3^2	486,215
(C₂×He₃).₄C₃² = C₂×He₃.C₃²	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	54	9	(C2xHe3).4C3^2	486,216
(C₂×He₃).₅C₃² = C₂×C₉.₂He₃	φ: C₃²/C₃ → C₃ ⊆ Out C₂×He₃	54	9	(C2xHe3).5C3^2	486,219
(C₂×He₃).₆C₃² = C₆×C₉○He₃	φ: trivial image	162		(C2xHe3).6C3^2	486,253
(C₂×He₃).₇C₃² = C₂×3_-¹⁺⁴	φ: trivial image	54	9	(C2xHe3).7C3^2	486,255

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