Extensions 1→N→G→Q→1 with N=C₃²:₄Q₈ and Q=C₂

Direct product G=NxQ with N=C₃²:₄Q₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₃²:₄Q₈		144		C2xC3^2:4Q8	144,168

Semidirect products G=N:Q with N=C₃²:₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²:₄Q₈:₁C₂ = C₂₄:₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:1C2	144,87
C₃²:₄Q₈:₂C₂ = D₁₂.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	48	4-	C3^2:4Q8:2C2	144,59
C₃²:₄Q₈:₃C₂ = C₃²:₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:3C2	144,97
C₃²:₄Q₈:₄C₂ = S₃xDic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	48	4-	C3^2:4Q8:4C2	144,137
C₃²:₄Q₈:₅C₂ = D₁₂:₅S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	48	4-	C3^2:4Q8:5C2	144,138
C₃²:₄Q₈:₆C₂ = C₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:6C2	144,173
C₃²:₄Q₈:₇C₂ = Q₈xC₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	72		C3^2:4Q8:7C2	144,174
C₃²:₄Q₈:₈C₂ = C₁₂.₅₉D₆	φ: trivial image	72		C3^2:4Q8:8C2	144,171

Non-split extensions G=N.Q with N=C₃²:₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²:₄Q₈.₁C₂ = C₃²:₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8.1C2	144,89
C₃²:₄Q₈.₂C₂ = C₃²:₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	48	4-	C3^2:4Q8.2C2	144,62
C₃²:₄Q₈.₃C₂ = C₃²:₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃²:₄Q₈	144		C3^2:4Q8.3C2	144,99

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