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

Direct product G=N×Q with N=C₃²⋊₄Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃²⋊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 = S₃×Dic₆	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 = Q₈×C₃⋊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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