Extensions 1→N→G→Q→1 with N=C₁₀×A₄ and Q=C₂²

Direct product G=N×Q with N=C₁₀×A₄ and Q=C₂²

		d	ρ	Label	ID
A₄×C₂²×C₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₁₀×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×A₄)⋊C₂² = C₂×D₅×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	30	6+	(C10xA4):C2^2	480,1193
(C₁₀×A₄)⋊₂C₂² = C₂²×C₅⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60		(C10xA4):2C2^2	480,1199
(C₁₀×A₄)⋊₃C₂² = C₂²×D₅×A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60		(C10xA4):3C2^2	480,1202
(C₁₀×A₄)⋊₄C₂² = C₂×C₁₀×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60		(C10xA4):4C2^2	480,1198

Non-split extensions G=N.Q with N=C₁₀×A₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×A₄).₁C₂² = A₄⋊Dic₁₀	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	120	6-	(C10xA4).1C2^2	480,975
(C₁₀×A₄).₂C₂² = Dic₅×S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	60	6-	(C10xA4).2C2^2	480,976
(C₁₀×A₄).₃C₂² = Dic₅⋊₂S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	60	6	(C10xA4).3C2^2	480,977
(C₁₀×A₄).₄C₂² = Dic₅⋊S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	60	6	(C10xA4).4C2^2	480,978
(C₁₀×A₄).₅C₂² = D₅×A₄⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	60	6	(C10xA4).5C2^2	480,979
(C₁₀×A₄).₆C₂² = D₁₀⋊S₄	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	60	6	(C10xA4).6C2^2	480,980
(C₁₀×A₄).₇C₂² = A₄⋊D₂₀	φ: C₂²/C₁ → C₂² ⊆ Out C₁₀×A₄	60	6+	(C10xA4).7C2^2	480,981
(C₁₀×A₄).₈C₂² = C₂₀.₁S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	120	6-	(C10xA4).8C2^2	480,1024
(C₁₀×A₄).₉C₂² = C₄×C₅⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6	(C10xA4).9C2^2	480,1025
(C₁₀×A₄).₁₀C₂² = C₂₀⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6+	(C10xA4).10C2^2	480,1026
(C₁₀×A₄).₁₁C₂² = C₂×A₄⋊Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	120		(C10xA4).11C2^2	480,1033
(C₁₀×A₄).₁₂C₂² = C₂⁴⋊₂D₁₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6	(C10xA4).12C2^2	480,1034
(C₁₀×A₄).₁₃C₂² = A₄×Dic₁₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	120	6-	(C10xA4).13C2^2	480,1035
(C₁₀×A₄).₁₄C₂² = C₄×D₅×A₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6	(C10xA4).14C2^2	480,1036
(C₁₀×A₄).₁₅C₂² = A₄×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6+	(C10xA4).15C2^2	480,1037
(C₁₀×A₄).₁₆C₂² = C₂×A₄×Dic₅	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	120		(C10xA4).16C2^2	480,1044
(C₁₀×A₄).₁₇C₂² = A₄×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6	(C10xA4).17C2^2	480,1045
(C₁₀×A₄).₁₈C₂² = C₅×A₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	120	6	(C10xA4).18C2^2	480,1013
(C₁₀×A₄).₁₉C₂² = C₂₀×S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	3	(C10xA4).19C2^2	480,1014
(C₁₀×A₄).₂₀C₂² = C₅×C₄⋊S₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6	(C10xA4).20C2^2	480,1015
(C₁₀×A₄).₂₁C₂² = C₁₀×A₄⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	120		(C10xA4).21C2^2	480,1022
(C₁₀×A₄).₂₂C₂² = C₅×A₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₁₀×A₄	60	6	(C10xA4).22C2^2	480,1023
(C₁₀×A₄).₂₃C₂² = A₄×C₂×C₂₀	φ: trivial image	120		(C10xA4).23C2^2	480,1126
(C₁₀×A₄).₂₄C₂² = C₅×D₄×A₄	φ: trivial image	60	6	(C10xA4).24C2^2	480,1127
(C₁₀×A₄).₂₅C₂² = C₅×Q₈×A₄	φ: trivial image	120	6	(C10xA4).25C2^2	480,1129

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Extensions 1→N→G→Q→1 with N=C10×A4 and Q=C22

Extensions 1→N→G→Q→1 with N=C₁₀×A₄ and Q=C₂²