Extensions 1→N→G→Q→1 with N=C₃ and Q=C₁₅⋊Q₈

Direct product G=N×Q with N=C₃ and Q=C₁₅⋊Q₈

		d	ρ	Label	ID
C₃×C₁₅⋊Q₈		120	4	C3xC15:Q8	360,64

Semidirect products G=N:Q with N=C₃ and Q=C₁₅⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₁₅⋊Q₈) = C₃⋊Dic₃₀	φ: C₁₅⋊Q₈/C₅×Dic₃ → C₂ ⊆ Aut C₃	120	4-	C3:1(C15:Q8)	360,83
C₃⋊₂(C₁₅⋊Q₈) = C₁₅⋊Dic₆	φ: C₁₅⋊Q₈/C₃×Dic₅ → C₂ ⊆ Aut C₃	360		C3:2(C15:Q8)	360,71
C₃⋊₃(C₁₅⋊Q₈) = C₃²⋊₃Dic₁₀	φ: C₁₅⋊Q₈/Dic₁₅ → C₂ ⊆ Aut C₃	120	4	C3:3(C15:Q8)	360,88

Non-split extensions G=N.Q with N=C₃ and Q=C₁₅⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₁₅⋊Q₈) = C₄₅⋊Q₈	φ: C₁₅⋊Q₈/C₃×Dic₅ → C₂ ⊆ Aut C₃	360	4-	C3.(C15:Q8)	360,7

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Extensions 1→N→G→Q→1 with N=C3 and Q=C15⋊Q8