Extensions 1→N→G→Q→1 with N=C₁₅ and Q=C₂×C₄²

Direct product G=N×Q with N=C₁₅ and Q=C₂×C₄²

		d	ρ	Label	ID
C₂×C₄×C₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₁₅ and Q=C₂×C₄²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₅⋊₁(C₂×C₄²) = C₄×S₃×F₅	φ: C₂×C₄²/C₄ → C₂×C₄ ⊆ Aut C₁₅	60	8	C15:1(C2xC4^2)	480,994
C₁₅⋊₂(C₂×C₄²) = C₂×Dic₃×F₅	φ: C₂×C₄²/C₂² → C₂×C₄ ⊆ Aut C₁₅	120		C15:2(C2xC4^2)	480,998
C₁₅⋊₃(C₂×C₄²) = C₂×C₄×C₃⋊F₅	φ: C₂×C₄²/C₂×C₄ → C₄ ⊆ Aut C₁₅	120		C15:3(C2xC4^2)	480,1063
C₁₅⋊₄(C₂×C₄²) = F₅×C₂×C₁₂	φ: C₂×C₄²/C₂×C₄ → C₄ ⊆ Aut C₁₅	120		C15:4(C2xC4^2)	480,1050
C₁₅⋊₅(C₂×C₄²) = C₄×D₅×Dic₃	φ: C₂×C₄²/C₂×C₄ → C₂² ⊆ Aut C₁₅	240		C15:5(C2xC4^2)	480,467
C₁₅⋊₆(C₂×C₄²) = C₄×S₃×Dic₅	φ: C₂×C₄²/C₂×C₄ → C₂² ⊆ Aut C₁₅	240		C15:6(C2xC4^2)	480,473
C₁₅⋊₇(C₂×C₄²) = C₄×D₃₀.C₂	φ: C₂×C₄²/C₂×C₄ → C₂² ⊆ Aut C₁₅	240		C15:7(C2xC4^2)	480,477
C₁₅⋊₈(C₂×C₄²) = C₂×Dic₃×Dic₅	φ: C₂×C₄²/C₂³ → C₂² ⊆ Aut C₁₅	480		C15:8(C2xC4^2)	480,603
C₁₅⋊₉(C₂×C₄²) = C₄²×D₁₅	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₅	240		C15:9(C2xC4^2)	480,836
C₁₅⋊₁₀(C₂×C₄²) = D₅×C₄×C₁₂	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₅	240		C15:10(C2xC4^2)	480,664
C₁₅⋊₁₁(C₂×C₄²) = S₃×C₄×C₂₀	φ: C₂×C₄²/C₄² → C₂ ⊆ Aut C₁₅	240		C15:11(C2xC4^2)	480,750
C₁₅⋊₁₂(C₂×C₄²) = C₂×C₄×Dic₁₅	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₅	480		C15:12(C2xC4^2)	480,887
C₁₅⋊₁₃(C₂×C₄²) = Dic₅×C₂×C₁₂	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₅	480		C15:13(C2xC4^2)	480,715
C₁₅⋊₁₄(C₂×C₄²) = Dic₃×C₂×C₂₀	φ: C₂×C₄²/C₂²×C₄ → C₂ ⊆ Aut C₁₅	480		C15:14(C2xC4^2)	480,801

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