Extensions 1→N→G→Q→1 with N=C₂³×C₁₀ and Q=C₄

Direct product G=N×Q with N=C₂³×C₁₀ and Q=C₄

		d	ρ	Label	ID
C₂⁴×C₂₀		320		C2^4xC20	320,1628

Semidirect products G=N:Q with N=C₂³×C₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₀)⋊₁C₄ = C₅×C₂≀C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	40	4	(C2^3xC10):1C4	320,156
(C₂³×C₁₀)⋊₂C₄ = C₁₀×C₂³⋊C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):2C4	320,910
(C₂³×C₁₀)⋊₃C₄ = C₂⁴⋊₂Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	40	4	(C2^3xC10):3C4	320,94
(C₂³×C₁₀)⋊₄C₄ = C₂×C₂³⋊Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):4C4	320,846
(C₂³×C₁₀)⋊₅C₄ = C₂⁴⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	40	4	(C2^3xC10):5C4	320,272
(C₂³×C₁₀)⋊₆C₄ = C₂×C₂³⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):6C4	320,1134
(C₂³×C₁₀)⋊₇C₄ = C₂⁴⋊₄F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	40		(C2^3xC10):7C4	320,1138
(C₂³×C₁₀)⋊₈C₄ = C₂²×C₂²⋊F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):8C4	320,1607
(C₂³×C₁₀)⋊₉C₄ = C₂⁴×F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):9C4	320,1638
(C₂³×C₁₀)⋊₁₀C₄ = C₅×C₂⁴⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):10C4	320,880
(C₂³×C₁₀)⋊₁₁C₄ = C₂²⋊C₄×C₂×C₁₀	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10):11C4	320,1514
(C₂³×C₁₀)⋊₁₂C₄ = C₂⁵.₂D₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10):12C4	320,874
(C₂³×C₁₀)⋊₁₃C₄ = C₂²×C₂³.D₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10):13C4	320,1511
(C₂³×C₁₀)⋊₁₄C₄ = C₂⁴×Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320		(C2^3xC10):14C4	320,1626

Non-split extensions G=N.Q with N=C₂³×C₁₀ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₁₀).₁C₄ = C₅×C₂³⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).1C4	320,128
(C₂³×C₁₀).₂C₄ = C₁₀×C₄.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).2C4	320,912
(C₂³×C₁₀).₃C₄ = C₂⁴.Dic₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).3C4	320,83
(C₂³×C₁₀).₄C₄ = C₂×C₂₀.D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).4C4	320,843
(C₂³×C₁₀).₅C₄ = C₂⁴.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).5C4	320,271
(C₂³×C₁₀).₆C₄ = C₂×C₂³.₂F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).6C4	320,1135
(C₂³×C₁₀).₇C₄ = C₂⁴.₄F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).7C4	320,1136
(C₂³×C₁₀).₈C₄ = C₂×C₂³.F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).8C4	320,1137
(C₂³×C₁₀).₉C₄ = C₂³×C₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	320		(C2^3xC10).9C4	320,1605
(C₂³×C₁₀).₁₀C₄ = C₂²×C₂².F₅	φ: C₄/C₁ → C₄ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).10C4	320,1606
(C₂³×C₁₀).₁₁C₄ = C₁₀×C₂²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).11C4	320,907
(C₂³×C₁₀).₁₂C₄ = C₅×C₂⁴.₄C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).12C4	320,908
(C₂³×C₁₀).₁₃C₄ = M₄(2)×C₂×C₁₀	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).13C4	320,1568
(C₂³×C₁₀).₁₄C₄ = C₂×C₂₀.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).14C4	320,833
(C₂³×C₁₀).₁₅C₄ = C₂⁴.₄Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	80		(C2^3xC10).15C4	320,834
(C₂³×C₁₀).₁₆C₄ = C₂³×C₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	320		(C2^3xC10).16C4	320,1452
(C₂³×C₁₀).₁₇C₄ = C₂²×C₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Aut C₂³×C₁₀	160		(C2^3xC10).17C4	320,1453

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