Extensions 1→N→G→Q→1 with N=C₂² and Q=C₁₀×Dic₃

Direct product G=N×Q with N=C₂² and Q=C₁₀×Dic₃

		d	ρ	Label	ID
Dic₃×C₂²×C₁₀		480		Dic3xC2^2xC10	480,1163

Semidirect products G=N:Q with N=C₂² and Q=C₁₀×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₁₀×Dic₃) = C₁₀×A₄⋊C₄	φ: C₁₀×Dic₃/C₂×C₁₀ → S₃ ⊆ Aut C₂²	120		C2^2:(C10xDic3)	480,1022
C₂²⋊₂(C₁₀×Dic₃) = C₅×D₄×Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₂²	240		C2^2:2(C10xDic3)	480,813
C₂²⋊₃(C₁₀×Dic₃) = C₁₀×C₆.D₄	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240		C2^2:3(C10xDic3)	480,831

Non-split extensions G=N.Q with N=C₂² and Q=C₁₀×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₁₀×Dic₃) = C₅×D₄.Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₂²	240	4	C2^2.1(C10xDic3)	480,827
C₂².₂(C₁₀×Dic₃) = C₅×C₁₂.D₄	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.2(C10xDic3)	480,152
C₂².₃(C₁₀×Dic₃) = C₅×C₂³.₇D₆	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₂²	120	4	C2^2.3(C10xDic3)	480,153
C₂².₄(C₁₀×Dic₃) = C₅×C₁₂.₁₀D₄	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240	4	C2^2.4(C10xDic3)	480,155
C₂².₅(C₁₀×Dic₃) = C₅×C₂³.₂₆D₆	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₂²	240		C2^2.5(C10xDic3)	480,805
C₂².₆(C₁₀×Dic₃) = C₂₀×C₃⋊C₈	central extension (φ=1)	480		C2^2.6(C10xDic3)	480,121
C₂².₇(C₁₀×Dic₃) = C₅×C₄².S₃	central extension (φ=1)	480		C2^2.7(C10xDic3)	480,122
C₂².₈(C₁₀×Dic₃) = C₅×C₁₂⋊C₈	central extension (φ=1)	480		C2^2.8(C10xDic3)	480,123
C₂².₉(C₁₀×Dic₃) = C₅×C₁₂.₅₅D₄	central extension (φ=1)	240		C2^2.9(C10xDic3)	480,149
C₂².₁₀(C₁₀×Dic₃) = C₅×C₆.C₄²	central extension (φ=1)	480		C2^2.10(C10xDic3)	480,150
C₂².₁₁(C₁₀×Dic₃) = C₂×C₁₀×C₃⋊C₈	central extension (φ=1)	480		C2^2.11(C10xDic3)	480,799
C₂².₁₂(C₁₀×Dic₃) = C₁₀×C₄.Dic₃	central extension (φ=1)	240		C2^2.12(C10xDic3)	480,800
C₂².₁₃(C₁₀×Dic₃) = Dic₃×C₂×C₂₀	central extension (φ=1)	480		C2^2.13(C10xDic3)	480,801
C₂².₁₄(C₁₀×Dic₃) = C₁₀×C₄⋊Dic₃	central extension (φ=1)	480		C2^2.14(C10xDic3)	480,804

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