Extensions 1→N→G→Q→1 with N=D₄×C₁₀ and Q=C₂

Direct product G=N×Q with N=D₄×C₁₀ and Q=C₂

		d	ρ	Label	ID
D₄×C₂×C₁₀		80		D4xC2xC10	160,229

Semidirect products G=N:Q with N=D₄×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀)⋊₁C₂ = C₂×D₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):1C2	160,152
(D₄×C₁₀)⋊₂C₂ = D₄.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10):2C2	160,153
(D₄×C₁₀)⋊₃C₂ = C₂₀⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):3C2	160,159
(D₄×C₁₀)⋊₄C₂ = C₂₀⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):4C2	160,161
(D₄×C₁₀)⋊₅C₂ = C₂×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40		(D4xC10):5C2	160,217
(D₄×C₁₀)⋊₆C₂ = C₂×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):6C2	160,218
(D₄×C₁₀)⋊₇C₂ = D₄⋊₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10):7C2	160,219
(D₄×C₁₀)⋊₈C₂ = C₂³⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40		(D4xC10):8C2	160,158
(D₄×C₁₀)⋊₉C₂ = Dic₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):9C2	160,160
(D₄×C₁₀)⋊₁₀C₂ = C₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40		(D4xC10):10C2	160,181
(D₄×C₁₀)⋊₁₁C₂ = C₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):11C2	160,182
(D₄×C₁₀)⋊₁₂C₂ = C₅×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):12C2	160,188
(D₄×C₁₀)⋊₁₃C₂ = C₁₀×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10):13C2	160,193
(D₄×C₁₀)⋊₁₄C₂ = C₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10):14C2	160,197
(D₄×C₁₀)⋊₁₅C₂ = C₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10):15C2	160,232
(D₄×C₁₀)⋊₁₆C₂ = C₁₀×C₄○D₄	φ: trivial image	80		(D4xC10):16C2	160,231

Non-split extensions G=N.Q with N=D₄×C₁₀ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₀).₁C₂ = D₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).1C2	160,39
(D₄×C₁₀).₂C₂ = C₂₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10).2C2	160,40
(D₄×C₁₀).₃C₂ = C₂×D₄.D₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).3C2	160,154
(D₄×C₁₀).₄C₂ = D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).4C2	160,155
(D₄×C₁₀).₅C₂ = C₂₀.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).5C2	160,157
(D₄×C₁₀).₆C₂ = C₂³⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10).6C2	160,41
(D₄×C₁₀).₇C₂ = C₅×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10).7C2	160,49
(D₄×C₁₀).₈C₂ = C₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	40	4	(D4xC10).8C2	160,50
(D₄×C₁₀).₉C₂ = C₅×D₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).9C2	160,52
(D₄×C₁₀).₁₀C₂ = C₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).10C2	160,156
(D₄×C₁₀).₁₁C₂ = C₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).11C2	160,184
(D₄×C₁₀).₁₂C₂ = C₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).12C2	160,185
(D₄×C₁₀).₁₃C₂ = C₁₀×SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₁₀	80		(D4xC10).13C2	160,194
(D₄×C₁₀).₁₄C₂ = D₄×C₂₀	φ: trivial image	80		(D4xC10).14C2	160,179

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