Extensions 1→N→G→Q→1 with N=C₂xC₃.He₃ and Q=C₃

Direct product G=NxQ with N=C₂xC₃.He₃ and Q=C₃

		d	ρ	Label	ID
C₆xC₃.He₃		162		C6xC3.He3	486,213

Semidirect products G=N:Q with N=C₂xC₃.He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃.He₃):₁C₃ = C₂xC₉²:C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	3	(C2xC3.He3):1C3	486,85
(C₂xC₃.He₃):₂C₃ = C₂xC₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	9	(C2xC3.He3):2C3	486,88
(C₂xC₃.He₃):₃C₃ = C₂xC₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	9	(C2xC3.He3):3C3	486,90
(C₂xC₃.He₃):₄C₃ = C₂xC₃².C₃³	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	9	(C2xC3.He3):4C3	486,218
(C₂xC₃.He₃):₅C₃ = C₂xC₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	9	(C2xC3.He3):5C3	486,219
(C₂xC₃.He₃):₆C₃ = C₂xC₉.He₃	φ: trivial image	54	3	(C2xC3.He3):6C3	486,214

Non-split extensions G=N.Q with N=C₂xC₃.He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₃.He₃).₁C₃ = C₂xC₉².C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	3	(C2xC3.He3).1C3	486,87
(C₂xC₃.He₃).₂C₃ = C₂xC₃².₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂xC₃.He₃	54	9	(C2xC3.He3).2C3	486,89

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