Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=C₁₀

Direct product G=N×Q with N=C₂×C₄² and Q=C₁₀

		d	ρ	Label	ID
C₂²×C₄×C₂₀		320		C2^2xC4xC20	320,1513

Semidirect products G=N:Q with N=C₂×C₄² and Q=C₁₀

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄²)⋊₁C₁₀ = C₂²⋊C₄×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):1C10	320,878
(C₂×C₄²)⋊₂C₁₀ = C₅×C₂⁴.C₂²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):2C10	320,889
(C₂×C₄²)⋊₃C₁₀ = C₁₀×C₄²⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):3C10	320,1516
(C₂×C₄²)⋊₄C₁₀ = C₁₀×C₄²⋊₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):4C10	320,1530
(C₂×C₄²)⋊₅C₁₀ = C₅×C₂⁴.₃C₂²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):5C10	320,891
(C₂×C₄²)⋊₆C₁₀ = C₁₀×C₄≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	80	(C2xC4^2):6C10	320,921
(C₂×C₄²)⋊₇C₁₀ = D₄×C₂×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):7C10	320,1517
(C₂×C₄²)⋊₈C₁₀ = C₄○D₄×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):8C10	320,1519
(C₂×C₄²)⋊₉C₁₀ = C₁₀×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):9C10	320,1528
(C₂×C₄²)⋊₁₀C₁₀ = C₅×C₂³.₃₆C₂³	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):10C10	320,1531
(C₂×C₄²)⋊₁₁C₁₀ = C₁₀×C₄⋊₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):11C10	320,1532
(C₂×C₄²)⋊₁₂C₁₀ = C₅×C₂².₂₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2):12C10	320,1534

Non-split extensions G=N.Q with N=C₂×C₄² and Q=C₁₀

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₄²).₁C₁₀ = C₅×C₂².₇C₄²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).1C10	320,141
(C₂×C₄²).₂C₁₀ = C₅×C₄²⋊₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).2C10	320,877
(C₂×C₄²).₃C₁₀ = C₄⋊C₄×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).3C10	320,879
(C₂×C₄²).₄C₁₀ = C₅×C₄²⋊₅C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).4C10	320,884
(C₂×C₄²).₅C₁₀ = C₅×C₂³.₆₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).5C10	320,888
(C₂×C₄²).₆C₁₀ = C₁₀×C₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).6C10	320,904
(C₂×C₄²).₇C₁₀ = C₅×C₄²⋊₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	80	(C2xC4^2).7C10	320,144
(C₂×C₄²).₈C₁₀ = C₅×C₄²⋊₈C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).8C10	320,883
(C₂×C₄²).₉C₁₀ = C₅×C₄²⋊₉C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).9C10	320,885
(C₂×C₄²).₁₀C₁₀ = C₅×C₂³.₆₅C₂³	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).10C10	320,890
(C₂×C₄²).₁₁C₁₀ = C₅×C₂³.₆₇C₂³	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).11C10	320,892
(C₂×C₄²).₁₂C₁₀ = M₄(2)×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).12C10	320,905
(C₂×C₄²).₁₃C₁₀ = C₁₀×C₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).13C10	320,923
(C₂×C₄²).₁₄C₁₀ = C₅×C₄⋊M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).14C10	320,924
(C₂×C₄²).₁₅C₁₀ = C₅×C₄².₁₂C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).15C10	320,932
(C₂×C₄²).₁₆C₁₀ = C₅×C₄².₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).16C10	320,933
(C₂×C₄²).₁₇C₁₀ = Q₈×C₂×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).17C10	320,1518
(C₂×C₄²).₁₈C₁₀ = C₁₀×C₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).18C10	320,1529
(C₂×C₄²).₁₉C₁₀ = C₁₀×C₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	320	(C2xC4^2).19C10	320,1533
(C₂×C₄²).₂₀C₁₀ = C₅×C₂³.₃₇C₂³	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₄²	160	(C2xC4^2).20C10	320,1535

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Extensions 1→N→G→Q→1 with N=C2×C42 and Q=C10

Extensions 1→N→G→Q→1 with N=C₂×C₄² and Q=C₁₀