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

Direct product G=NxQ with N=He₃:₄Q₈ and Q=C₂

		d	ρ	Label	ID
C₂xHe₃:₄Q₈		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 = Q₈xHe₃: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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