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

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

		d	ρ	Label	ID
C₆×C₃.He₃		162		C6xC3.He3	486,213

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.He₃)⋊₁C₃ = C₂×C₉²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	3	(C2xC3.He3):1C3	486,85
(C₂×C₃.He₃)⋊₂C₃ = C₂×C₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	9	(C2xC3.He3):2C3	486,88
(C₂×C₃.He₃)⋊₃C₃ = C₂×C₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	9	(C2xC3.He3):3C3	486,90
(C₂×C₃.He₃)⋊₄C₃ = C₂×C₃².C₃³	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	9	(C2xC3.He3):4C3	486,218
(C₂×C₃.He₃)⋊₅C₃ = C₂×C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	9	(C2xC3.He3):5C3	486,219
(C₂×C₃.He₃)⋊₆C₃ = C₂×C₉.He₃	φ: trivial image	54	3	(C2xC3.He3):6C3	486,214

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₃.He₃).₁C₃ = C₂×C₉².C₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	3	(C2xC3.He3).1C3	486,87
(C₂×C₃.He₃).₂C₃ = C₂×C₃².₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₂×C₃.He₃	54	9	(C2xC3.He3).2C3	486,89

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁