Extensions 1→N→G→Q→1 with N=He₃:(C₂xC₄) and Q=C₂

Direct product G=NxQ with N=He₃:(C₂xC₄) and Q=C₂

		d	ρ	Label	ID
C₂xHe₃:(C₂xC₄)		72		C2xHe3:(C2xC4)	432,321

Semidirect products G=N:Q with N=He₃:(C₂xC₄) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:(C₂xC₄):₁C₂ = C₁₂.S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃:(C₂xC₄)	72	12-	He3:(C2xC4):1C2	432,299
He₃:(C₂xC₄):₂C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:(C₂xC₄)	72	12-	He3:(C2xC4):2C2	432,318
He₃:(C₂xC₄):₃C₂ = C₆²:₂D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:(C₂xC₄)	36	6	He3:(C2xC4):3C2	432,324
He₃:(C₂xC₄):₄C₂ = C₃²:D₆:C₄	φ: C₂/C₁ → C₂ ⊆ Out He₃:(C₂xC₄)	36	6	He3:(C2xC4):4C2	432,238
He₃:(C₂xC₄):₅C₂ = C₄xC₃²:D₆	φ: trivial image	36	6	He3:(C2xC4):5C2	432,300

Non-split extensions G=N.Q with N=He₃:(C₂xC₄) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:(C₂xC₄).₁C₂ = C₁₂.₈₅S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃:(C₂xC₄)	72	6-	He3:(C2xC4).1C2	432,298
He₃:(C₂xC₄).₂C₂ = C₆.S₃wrC₂	φ: C₂/C₁ → C₂ ⊆ Out He₃:(C₂xC₄)	72	6-	He3:(C2xC4).2C2	432,237

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