Extensions 1→N→G→Q→1 with N=He₃⋊₄Q₈ and Q=C₂

Direct product G=N×Q with N=He₃⋊₄Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊₄Q₈		144		C2xHe3:4Q8	432,384

Semidirect products G=N:Q with N=He₃⋊₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₄Q₈⋊₁C₂ = He₃⋊₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	12+	He3:4Q8:1C2	432,85
He₃⋊₄Q₈⋊₂C₂ = He₃⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	6	He3:4Q8:2C2	432,193
He₃⋊₄Q₈⋊₃C₂ = C₃⋊S₃⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	12-	He3:4Q8:3C2	432,294
He₃⋊₄Q₈⋊₄C₂ = C₁₂⋊S₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	12+	He3:4Q8:4C2	432,295
He₃⋊₄Q₈⋊₅C₂ = C₆².₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	6	He3:4Q8:5C2	432,391
He₃⋊₄Q₈⋊₆C₂ = Q₈×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	6	He3:4Q8:6C2	432,394
He₃⋊₄Q₈⋊₇C₂ = He₃⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	72	6	He3:4Q8:7C2	432,175
He₃⋊₄Q₈⋊₈C₂ = C₆².₄₇D₆	φ: trivial image	72	6	He3:4Q8:8C2	432,387

Non-split extensions G=N.Q with N=He₃⋊₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊₄Q₈.₁C₂ = He₃⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	144	12-	He3:4Q8.1C2	432,86
He₃⋊₄Q₈.₂C₂ = He₃⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	144	6	He3:4Q8.2C2	432,197
He₃⋊₄Q₈.₃C₂ = He₃⋊₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊₄Q₈	144	6	He3:4Q8.3C2	432,177

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