Extensions 1→N→G→Q→1 with N=C₅×C₄⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₅×C₄⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₄⋊C₄		160		C10xC4:C4	160,177

Semidirect products G=N:Q with N=C₅×C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄⋊C₄)⋊₁C₂ = D₂₀⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):1C2	160,16
(C₅×C₄⋊C₄)⋊₂C₂ = D₅×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):2C2	160,112
(C₅×C₄⋊C₄)⋊₃C₂ = C₄⋊C₄⋊₇D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):3C2	160,113
(C₅×C₄⋊C₄)⋊₄C₂ = D₂₀⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):4C2	160,114
(C₅×C₄⋊C₄)⋊₅C₂ = D₁₀.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):5C2	160,115
(C₅×C₄⋊C₄)⋊₆C₂ = C₄⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):6C2	160,116
(C₅×C₄⋊C₄)⋊₇C₂ = D₁₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):7C2	160,117
(C₅×C₄⋊C₄)⋊₈C₂ = D₁₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):8C2	160,118
(C₅×C₄⋊C₄)⋊₉C₂ = C₄⋊C₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):9C2	160,119
(C₅×C₄⋊C₄)⋊₁₀C₂ = C₅×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):10C2	160,52
(C₅×C₄⋊C₄)⋊₁₁C₂ = C₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):11C2	160,182
(C₅×C₄⋊C₄)⋊₁₂C₂ = C₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):12C2	160,183
(C₅×C₄⋊C₄)⋊₁₃C₂ = C₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):13C2	160,184
(C₅×C₄⋊C₄)⋊₁₄C₂ = C₅×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	80		(C5xC4:C4):14C2	160,187
(C₅×C₄⋊C₄)⋊₁₅C₂ = C₅×C₄²⋊C₂	φ: trivial image	80		(C5xC4:C4):15C2	160,178
(C₅×C₄⋊C₄)⋊₁₆C₂ = D₄×C₂₀	φ: trivial image	80		(C5xC4:C4):16C2	160,179

Non-split extensions G=N.Q with N=C₅×C₄⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₄⋊C₄).₁C₂ = C₁₀.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).1C2	160,14
(C₅×C₄⋊C₄).₂C₂ = C₂₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).2C2	160,15
(C₅×C₄⋊C₄).₃C₂ = C₁₀.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).3C2	160,17
(C₅×C₄⋊C₄).₄C₂ = Dic₅⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).4C2	160,108
(C₅×C₄⋊C₄).₅C₂ = C₂₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).5C2	160,109
(C₅×C₄⋊C₄).₆C₂ = Dic₅.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).6C2	160,110
(C₅×C₄⋊C₄).₇C₂ = C₄.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).7C2	160,111
(C₅×C₄⋊C₄).₈C₂ = C₅×Q₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).8C2	160,53
(C₅×C₄⋊C₄).₉C₂ = C₅×C₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).9C2	160,56
(C₅×C₄⋊C₄).₁₀C₂ = C₅×C₂.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).10C2	160,57
(C₅×C₄⋊C₄).₁₁C₂ = C₅×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).11C2	160,186
(C₅×C₄⋊C₄).₁₂C₂ = C₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₄⋊C₄	160		(C5xC4:C4).12C2	160,189
(C₅×C₄⋊C₄).₁₃C₂ = Q₈×C₂₀	φ: trivial image	160		(C5xC4:C4).13C2	160,180

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