Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×C₄○D₄

Direct product G=N×Q with N=C₅ and Q=C₄×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂₀		160		C4oD4xC20	320,1519

Semidirect products G=N:Q with N=C₅ and Q=C₄×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×C₄○D₄) = C₄○D₄×F₅	φ: C₄×C₄○D₄/C₄○D₄ → C₄ ⊆ Aut C₅	40	8	C5:(C4xC4oD4)	320,1603
C₅⋊₂(C₄×C₄○D₄) = C₄×C₄○D₂₀	φ: C₄×C₄○D₄/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:2(C4xC4oD4)	320,1146
C₅⋊₃(C₄×C₄○D₄) = C₄².₁₈₈D₁₀	φ: C₄×C₄○D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₅	160		C5:3(C4xC4oD4)	320,1194
C₅⋊₄(C₄×C₄○D₄) = C₄×D₄⋊₂D₅	φ: C₄×C₄○D₄/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:4(C4xC4oD4)	320,1208
C₅⋊₅(C₄×C₄○D₄) = C₄×Q₈⋊₂D₅	φ: C₄×C₄○D₄/C₄×Q₈ → C₂ ⊆ Aut C₅	160		C5:5(C4xC4oD4)	320,1245
C₅⋊₆(C₄×C₄○D₄) = C₄○D₄×Dic₅	φ: C₄×C₄○D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₅	160		C5:6(C4xC4oD4)	320,1498

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