Extensions 1→N→G→Q→1 with N=He₃:₂Q₈ and Q=C₂

Direct product G=NxQ with N=He₃:₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₂xHe₃:₂Q₈		144		C2xHe3:2Q8	432,316

Semidirect products G=N:Q with N=He₃:₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:₂Q₈:₁C₂ = He₃:₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:₂Q₈	72	6	He3:2Q8:1C2	432,234
He₃:₂Q₈:₂C₂ = C₃:S₃:Dic₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:₂Q₈	72	12-	He3:2Q8:2C2	432,294
He₃:₂Q₈:₃C₂ = C₁₂.₈₅S₃²	φ: C₂/C₁ → C₂ ⊆ Out He₃:₂Q₈	72	6-	He3:2Q8:3C2	432,298
He₃:₂Q₈:₄C₂ = C₆².₈D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:₂Q₈	72	12-	He3:2Q8:4C2	432,318
He₃:₂Q₈:₅C₂ = C₆².₉D₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:₂Q₈	72	6	He3:2Q8:5C2	432,319
He₃:₂Q₈:₆C₂ = C₁₂.₉₁S₃²	φ: trivial image	72	6	He3:2Q8:6C2	432,297

Non-split extensions G=N.Q with N=He₃:₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:₂Q₈.C₂ = He₃:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out He₃:₂Q₈	144	6-	He3:2Q8.C2	432,236

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