Extensions 1→N→G→Q→1 with N=He₃⋊₃C₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊₃C₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₃C₄		72		C2xHe3:3C4	216,71

Semidirect products G=N:Q with N=He₃⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃C₄⋊₁C₂ = He₃⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₄	36	6+	He3:3C4:1C2	216,35
He₃⋊₃C₄⋊₂C₂ = C₆.S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₄	36	6	He3:3C4:2C2	216,34
He₃⋊₃C₄⋊₃C₂ = He₃⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₄	36	6	He3:3C4:3C2	216,72
He₃⋊₃C₄⋊₄C₂ = C₄×He₃⋊C₂	φ: trivial image	36	3	He3:3C4:4C2	216,67

Non-split extensions G=N.Q with N=He₃⋊₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃C₄.₁C₂ = He₃⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₄	72	3	He3:3C4.1C2	216,25
He₃⋊₃C₄.₂C₂ = He₃⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₄	72	6-	He3:3C4.2C2	216,33
He₃⋊₃C₄.₃C₂ = He₃⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃C₄	72	6	He3:3C4.3C2	216,66

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