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

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

		d	ρ	Label	ID
C₄⋊C₄×C₂₀		320		C4:C4xC20	320,879

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄×C₄⋊C₄) = C₄×C₄⋊F₅	φ: C₄×C₄⋊C₄/C₄² → C₄ ⊆ Aut C₅	80		C5:1(C4xC4:C4)	320,1025
C₅⋊₂(C₄×C₄⋊C₄) = C₄⋊C₄×F₅	φ: C₄×C₄⋊C₄/C₄⋊C₄ → C₄ ⊆ Aut C₅	80		C5:2(C4xC4:C4)	320,1048
C₅⋊₃(C₄×C₄⋊C₄) = Dic₅⋊₂C₄²	φ: C₄×C₄⋊C₄/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:3(C4xC4:C4)	320,276
C₅⋊₄(C₄×C₄⋊C₄) = C₄×C₁₀.D₄	φ: C₄×C₄⋊C₄/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:4(C4xC4:C4)	320,558
C₅⋊₅(C₄×C₄⋊C₄) = C₄×C₄⋊Dic₅	φ: C₄×C₄⋊C₄/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:5(C4xC4:C4)	320,561
C₅⋊₆(C₄×C₄⋊C₄) = C₄⋊C₄×Dic₅	φ: C₄×C₄⋊C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:6(C4xC4:C4)	320,602

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