Extensions 1→N→G→Q→1 with N=C₃³⋊₅Q₈ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₅Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₅Q₈		48		C2xC3^3:5Q8	432,695

Semidirect products G=N:Q with N=C₃³⋊₅Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅Q₈⋊₁C₂ = C₃³⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	24	8+	C3^3:5Q8:1C2	432,589
C₃³⋊₅Q₈⋊₂C₂ = C₃³⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	24	4	C3^3:5Q8:2C2	432,584
C₃³⋊₅Q₈⋊₃C₂ = S₃×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	48	8-	C3^3:5Q8:3C2	432,603
C₃³⋊₅Q₈⋊₄C₂ = C₃³⋊₆(C₂×Q₈)	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	24	8+	C3^3:5Q8:4C2	432,605
C₃³⋊₅Q₈⋊₅C₂ = (S₃×C₆).D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	24	8+	C3^3:5Q8:5C2	432,606
C₃³⋊₅Q₈⋊₆C₂ = D₆⋊S₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	48	8-	C3^3:5Q8:6C2	432,610
C₃³⋊₅Q₈⋊₇C₂ = C₃⋊S₃⋊₄Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	48	4	C3^3:5Q8:7C2	432,687
C₃³⋊₅Q₈⋊₈C₂ = C₆².₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	24	4	C3^3:5Q8:8C2	432,693
C₃³⋊₅Q₈⋊₉C₂ = C₁₂.₉₅S₃²	φ: trivial image	48	4	C3^3:5Q8:9C2	432,689

Non-split extensions G=N.Q with N=C₃³⋊₅Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₅Q₈.₁C₂ = C₃³⋊₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	48	8-	C3^3:5Q8.1C2	432,590
C₃³⋊₅Q₈.₂C₂ = C₃³⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₅Q₈	48	4	C3^3:5Q8.2C2	432,585

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