Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊C₄⋊S₃

Direct product G=N×Q with N=C₅ and Q=C₄⋊C₄⋊S₃

		d	ρ	Label	ID
C₅×C₄⋊C₄⋊S₃		240		C5xC4:C4:S3	480,777

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊C₄⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄⋊C₄⋊S₃) = C₁₀.D₄⋊S₃	φ: C₄⋊C₄⋊S₃/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:1(C4:C4:S3)	480,456
C₅⋊₂(C₄⋊C₄⋊S₃) = C₄⋊Dic₅⋊S₃	φ: C₄⋊C₄⋊S₃/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C4:C4:S3)	480,421
C₅⋊₃(C₄⋊C₄⋊S₃) = C₄⋊Dic₃⋊D₅	φ: C₄⋊C₄⋊S₃/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:3(C4:C4:S3)	480,413
C₅⋊₄(C₄⋊C₄⋊S₃) = D₆⋊C₄.D₅	φ: C₄⋊C₄⋊S₃/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:4(C4:C4:S3)	480,417
C₅⋊₅(C₄⋊C₄⋊S₃) = C₆₀⋊₅C₄⋊C₂	φ: C₄⋊C₄⋊S₃/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:5(C4:C4:S3)	480,418
C₅⋊₆(C₄⋊C₄⋊S₃) = D₆⋊Dic₅.C₂	φ: C₄⋊C₄⋊S₃/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:6(C4:C4:S3)	480,443
C₅⋊₇(C₄⋊C₄⋊S₃) = C₄⋊C₄⋊D₁₅	φ: C₄⋊C₄⋊S₃/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:7(C4:C4:S3)	480,863

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