Extensions 1→N→G→Q→1 with N=C₂³xHe₃ and Q=C₂

Direct product G=NxQ with N=C₂³xHe₃ and Q=C₂

		d	ρ	Label	ID
C₂⁴xHe₃		144		C2^4xHe3	432,563

Semidirect products G=N:Q with N=C₂³xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xHe₃):₁C₂ = C₂xD₄xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3):1C2	432,404
(C₂³xHe₃):₂C₂ = C₂xHe₃:₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3):2C2	432,377
(C₂³xHe₃):₃C₂ = C₂xHe₃:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3):3C2	432,399
(C₂³xHe₃):₄C₂ = C₂³xC₃²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3):4C2	432,558
(C₂³xHe₃):₅C₂ = C₂³xHe₃:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3):5C2	432,561

Non-split extensions G=N.Q with N=C₂³xHe₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³xHe₃).₁C₂ = C₂²:C₄xHe₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3).1C2	432,204
(C₂³xHe₃).₂C₂ = C₆²:₃C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3).2C2	432,166
(C₂³xHe₃).₃C₂ = C₆²:₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	72		(C2^3xHe3).3C2	432,199
(C₂³xHe₃).₄C₂ = C₂²xC₃²:C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	144		(C2^3xHe3).4C2	432,376
(C₂³xHe₃).₅C₂ = C₂²xHe₃:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³xHe₃	144		(C2^3xHe3).5C2	432,398
(C₂³xHe₃).₆C₂ = C₂²xC₄xHe₃	φ: trivial image	144		(C2^3xHe3).6C2	432,401

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