Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=C₄

Direct product G=N×Q with N=He₃⋊C₂ and Q=C₄

		d	ρ	Label	ID
C₄×He₃⋊C₂		36	3	C4xHe3:C2	216,67

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊₁C₄ = C₂×He₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out He₃⋊C₂	36	3	He3:C2:1C4	216,100
He₃⋊C₂⋊₂C₄ = He₃⋊(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out He₃⋊C₂	36	6-	He3:C2:2C4	216,36

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.C₄ = He₃⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out He₃⋊C₂	27	6+	He3:C2.C4	216,86

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Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=C4