Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₀×Dic₃

Direct product G=N×Q with N=C₄ and Q=C₁₀×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₂₀		480		Dic3xC2xC20	480,801

Semidirect products G=N:Q with N=C₄ and Q=C₁₀×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₁₀×Dic₃) = C₅×D₄×Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	240		C4:1(C10xDic3)	480,813
C₄⋊₂(C₁₀×Dic₃) = C₁₀×C₄⋊Dic₃	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4:2(C10xDic3)	480,804

Non-split extensions G=N.Q with N=C₄ and Q=C₁₀×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₁₀×Dic₃) = C₅×D₄⋊Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	240		C4.1(C10xDic3)	480,151
C₄.₂(C₁₀×Dic₃) = C₅×Q₈⋊₂Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	480		C4.2(C10xDic3)	480,154
C₄.₃(C₁₀×Dic₃) = C₅×Q₈⋊₃Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	120	4	C4.3(C10xDic3)	480,156
C₄.₄(C₁₀×Dic₃) = C₅×Q₈×Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	480		C4.4(C10xDic3)	480,824
C₄.₅(C₁₀×Dic₃) = C₅×D₄.Dic₃	φ: C₁₀×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	240	4	C4.5(C10xDic3)	480,827
C₄.₆(C₁₀×Dic₃) = C₅×C₈⋊Dic₃	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.6(C10xDic3)	480,136
C₄.₇(C₁₀×Dic₃) = C₅×C₂₄⋊₁C₄	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.7(C10xDic3)	480,137
C₄.₈(C₁₀×Dic₃) = C₅×C₂₄.C₄	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₄	240	2	C4.8(C10xDic3)	480,138
C₄.₉(C₁₀×Dic₃) = C₁₀×C₄.Dic₃	φ: C₁₀×Dic₃/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4.9(C10xDic3)	480,800
C₄.₁₀(C₁₀×Dic₃) = C₁₀×C₃⋊C₁₆	central extension (φ=1)	480		C4.10(C10xDic3)	480,130
C₄.₁₁(C₁₀×Dic₃) = C₅×C₁₂.C₈	central extension (φ=1)	240	2	C4.11(C10xDic3)	480,131
C₄.₁₂(C₁₀×Dic₃) = Dic₃×C₄₀	central extension (φ=1)	480		C4.12(C10xDic3)	480,132
C₄.₁₃(C₁₀×Dic₃) = C₅×C₂₄⋊C₄	central extension (φ=1)	480		C4.13(C10xDic3)	480,134
C₄.₁₄(C₁₀×Dic₃) = C₂×C₁₀×C₃⋊C₈	central extension (φ=1)	480		C4.14(C10xDic3)	480,799
C₄.₁₅(C₁₀×Dic₃) = C₅×C₂³.₂₆D₆	central extension (φ=1)	240		C4.15(C10xDic3)	480,805

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