Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×C₈.C₂²

Direct product G=N×Q with N=C₃ and Q=C₅×C₈.C₂²

		d	ρ	Label	ID
C₁₅×C₈.C₂²		240	4	C15xC8.C2^2	480,942

Semidirect products G=N:Q with N=C₃ and Q=C₅×C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₈.C₂²) = C₅×C₈.D₆	φ: C₅×C₈.C₂²/C₅×M₄(2) → C₂ ⊆ Aut C₃	240	4	C3:1(C5xC8.C2^2)	480,788
C₃⋊₂(C₅×C₈.C₂²) = C₅×D₄.D₆	φ: C₅×C₈.C₂²/C₅×SD₁₆ → C₂ ⊆ Aut C₃	240	4	C3:2(C5xC8.C2^2)	480,794
C₃⋊₃(C₅×C₈.C₂²) = C₅×Q₁₆⋊S₃	φ: C₅×C₈.C₂²/C₅×Q₁₆ → C₂ ⊆ Aut C₃	240	4	C3:3(C5xC8.C2^2)	480,797
C₃⋊₄(C₅×C₈.C₂²) = C₅×Q₈.₁₁D₆	φ: C₅×C₈.C₂²/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240	4	C3:4(C5xC8.C2^2)	480,821
C₃⋊₅(C₅×C₈.C₂²) = C₅×Q₈.₁₄D₆	φ: C₅×C₈.C₂²/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	240	4	C3:5(C5xC8.C2^2)	480,830

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