Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×C₂²⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₄×C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₂₀		160		C2^2:C4xC20	320,878

Semidirect products G=N:Q with N=C₅ and Q=C₄×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄×C₂²⋊C₄) = C₂²⋊C₄×F₅	φ: C₄×C₂²⋊C₄/C₂²⋊C₄ → C₄ ⊆ Aut C₅	40		C5:1(C4xC2^2:C4)	320,1036
C₅⋊₂(C₄×C₂²⋊C₄) = C₄×C₂²⋊F₅	φ: C₄×C₂²⋊C₄/C₂²×C₄ → C₄ ⊆ Aut C₅	80		C5:2(C4xC2^2:C4)	320,1101
C₅⋊₃(C₄×C₂²⋊C₄) = D₁₀⋊₂C₄²	φ: C₄×C₂²⋊C₄/C₂.C₄² → C₂ ⊆ Aut C₅	160		C5:3(C4xC2^2:C4)	320,293
C₅⋊₄(C₄×C₂²⋊C₄) = C₄×D₁₀⋊C₄	φ: C₄×C₂²⋊C₄/C₂×C₄² → C₂ ⊆ Aut C₅	160		C5:4(C4xC2^2:C4)	320,565
C₅⋊₅(C₄×C₂²⋊C₄) = C₂²⋊C₄×Dic₅	φ: C₄×C₂²⋊C₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₅	160		C5:5(C4xC2^2:C4)	320,568
C₅⋊₆(C₄×C₂²⋊C₄) = C₄×C₂³.D₅	φ: C₄×C₂²⋊C₄/C₂³×C₄ → C₂ ⊆ Aut C₅	160		C5:6(C4xC2^2:C4)	320,836

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