Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅×Dic₃

Direct product G=N×Q with N=C₄ and Q=D₅×Dic₃

		d	ρ	Label	ID
C₄×D₅×Dic₃		240		C4xD5xDic3	480,467

Semidirect products G=N:Q with N=C₄ and Q=D₅×Dic₃

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(D₅×Dic₃) = Dic₃×D₂₀	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	240	C4:1(D5xDic3)	480,501
C₄⋊₂(D₅×Dic₃) = D₂₀⋊₈Dic₃	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₄	240	C4:2(D5xDic3)	480,510
C₄⋊₃(D₅×Dic₃) = D₅×C₄⋊Dic₃	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₄	240	C4:3(D5xDic3)	480,488

Non-split extensions G=N.Q with N=C₄ and Q=D₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₅×Dic₃) = C₆.D₄₀	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	240		C4.1(D5xDic3)	480,41
C₄.₂(D₅×Dic₃) = C₆.Dic₂₀	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	480		C4.2(D5xDic3)	480,47
C₄.₃(D₅×Dic₃) = C₆₀.₉₇D₄	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	120	4	C4.3(D5xDic3)	480,53
C₄.₄(D₅×Dic₃) = D₂₀.₃Dic₃	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	240	4	C4.4(D5xDic3)	480,359
C₄.₅(D₅×Dic₃) = Dic₃×Dic₁₀	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₄	480		C4.5(D5xDic3)	480,406
C₄.₆(D₅×Dic₃) = C₃₀.D₈	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₄	240		C4.6(D5xDic3)	480,40
C₄.₇(D₅×Dic₃) = C₃₀.Q₁₆	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.7(D5xDic3)	480,46
C₄.₈(D₅×Dic₃) = C₆₀.₉₆D₄	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₄	120	4	C4.8(D5xDic3)	480,52
C₄.₉(D₅×Dic₃) = D₂₀.₂Dic₃	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₄	240	4	C4.9(D5xDic3)	480,360
C₄.₁₀(D₅×Dic₃) = Dic₁₅⋊₆Q₈	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.10(D5xDic3)	480,407
C₄.₁₁(D₅×Dic₃) = C₆₀.₇Q₈	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₄	480		C4.11(D5xDic3)	480,61
C₄.₁₂(D₅×Dic₃) = C₆₀.₈Q₈	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₄	480		C4.12(D5xDic3)	480,64
C₄.₁₃(D₅×Dic₃) = C₆₀.₁₀₅D₄	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₄	240	4	C4.13(D5xDic3)	480,67
C₄.₁₄(D₅×Dic₃) = D₅×C₄.Dic₃	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₄	120	4	C4.14(D5xDic3)	480,358
C₄.₁₅(D₅×Dic₃) = (C₄×D₅)⋊Dic₃	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₄	240		C4.15(D5xDic3)	480,434
C₄.₁₆(D₅×Dic₃) = D₅×C₃⋊C₁₆	central extension (φ=1)	240	4	C4.16(D5xDic3)	480,7
C₄.₁₇(D₅×Dic₃) = C₄₀.₅₁D₆	central extension (φ=1)	240	4	C4.17(D5xDic3)	480,10
C₄.₁₈(D₅×Dic₃) = Dic₃×C₅⋊₂C₈	central extension (φ=1)	480		C4.18(D5xDic3)	480,26
C₄.₁₉(D₅×Dic₃) = Dic₁₅⋊₄C₈	central extension (φ=1)	480		C4.19(D5xDic3)	480,27
C₄.₂₀(D₅×Dic₃) = C₃₀.₂₂C₄²	central extension (φ=1)	480		C4.20(D5xDic3)	480,29
C₄.₂₁(D₅×Dic₃) = C₃₀.₂₃C₄²	central extension (φ=1)	480		C4.21(D5xDic3)	480,30
C₄.₂₂(D₅×Dic₃) = C₂×D₅×C₃⋊C₈	central extension (φ=1)	240		C4.22(D5xDic3)	480,357
C₄.₂₃(D₅×Dic₃) = C₂×C₂₀.₃₂D₆	central extension (φ=1)	240		C4.23(D5xDic3)	480,369
C₄.₂₄(D₅×Dic₃) = (D₅×C₁₂)⋊C₄	central extension (φ=1)	240		C4.24(D5xDic3)	480,433

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Extensions 1→N→G→Q→1 with N=C4 and Q=D5×Dic3

Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅×Dic₃