Extensions 1→N→G→Q→1 with N=He₃⋊₅D₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊₅D₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₅D₄		72		C2xHe3:5D4	432,386

Semidirect products G=N:Q with N=He₃⋊₅D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₅D₄⋊₁C₂ = He₃⋊₃D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	12+	He3:5D4:1C2	432,83
He₃⋊₅D₄⋊₂C₂ = He₃⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	6	He3:5D4:2C2	432,192
He₃⋊₅D₄⋊₃C₂ = C₁₂.S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	12-	He3:5D4:3C2	432,299
He₃⋊₅D₄⋊₄C₂ = C₃⋊S₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	36	12+	He3:5D4:4C2	432,301
He₃⋊₅D₄⋊₅C₂ = D₄×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	36	6	He3:5D4:5C2	432,390
He₃⋊₅D₄⋊₆C₂ = He₃⋊₅D₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	6	He3:5D4:6C2	432,395
He₃⋊₅D₄⋊₇C₂ = He₃⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	6	He3:5D4:7C2	432,176
He₃⋊₅D₄⋊₈C₂ = C₆².₄₇D₆	φ: trivial image	72	6	He3:5D4:8C2	432,387

Non-split extensions G=N.Q with N=He₃⋊₅D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₅D₄.₁C₂ = He₃⋊₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	12-	He3:5D4.1C2	432,84
He₃⋊₅D₄.₂C₂ = He₃⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	6	He3:5D4.2C2	432,196
He₃⋊₅D₄.₃C₂ = He₃⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₅D₄	72	6	He3:5D4.3C2	432,175

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