Extensions 1→N→G→Q→1 with N=He₃⋊₂D₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊₂D₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₂D₄		72		C2xHe3:2D4	432,320

Semidirect products G=N:Q with N=He₃⋊₂D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₂D₄⋊₁C₂ = He₃⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂D₄	72	6+	He3:2D4:1C2	432,235
He₃⋊₂D₄⋊₂C₂ = C₁₂.₈₆S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂D₄	36	6+	He3:2D4:2C2	432,302
He₃⋊₂D₄⋊₃C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂D₄	72	6	He3:2D4:3C2	432,319
He₃⋊₂D₄⋊₄C₂ = C₁₂⋊S₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂D₄	72	12+	He3:2D4:4C2	432,295
He₃⋊₂D₄⋊₅C₂ = C₆²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂D₄	36	12+	He3:2D4:5C2	432,323
He₃⋊₂D₄⋊₆C₂ = C₁₂.₉₁S₃²	φ: trivial image	72	6	He3:2D4:6C2	432,297

Non-split extensions G=N.Q with N=He₃⋊₂D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₂D₄.C₂ = He₃⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₂D₄	72	6	He3:2D4.C2	432,234

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