Extensions 1→N→G→Q→1 with N=He₃⋊₃D₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊₃D₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₃D₄		72		C2xHe3:3D4	432,322

Semidirect products G=N:Q with N=He₃⋊₃D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₃D₄⋊₁C₂ = C₃⋊S₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃D₄	36	12+	He3:3D4:1C2	432,301
He₃⋊₃D₄⋊₂C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃D₄	72	12-	He3:3D4:2C2	432,318
He₃⋊₃D₄⋊₃C₂ = C₁₂.₈₄S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃D₄	72	6	He3:3D4:3C2	432,296
He₃⋊₃D₄⋊₄C₂ = C₁₂.S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃D₄	72	12-	He3:3D4:4C2	432,299
He₃⋊₃D₄⋊₅C₂ = C₆²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃D₄	36	12+	He3:3D4:5C2	432,323
He₃⋊₃D₄⋊₆C₂ = C₆²⋊₂D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₃D₄	36	6	He3:3D4:6C2	432,324
He₃⋊₃D₄⋊₇C₂ = C₁₂.₉₁S₃²	φ: trivial image	72	6	He3:3D4:7C2	432,297

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