Extensions 1→N→G→Q→1 with N=C₂² and Q=D₅×Dic₃

Direct product G=N×Q with N=C₂² and Q=D₅×Dic₃

		d	ρ	Label	ID
C₂²×D₅×Dic₃		240		C2^2xD5xDic3	480,1112

Semidirect products G=N:Q with N=C₂² and Q=D₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(D₅×Dic₃) = D₅×A₄⋊C₄	φ: D₅×Dic₃/D₁₀ → S₃ ⊆ Aut C₂²	60	6	C2^2:(D5xDic3)	480,979
C₂²⋊₂(D₅×Dic₃) = Dic₃×C₅⋊D₄	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₂²	240		C2^2:2(D5xDic3)	480,629
C₂²⋊₃(D₅×Dic₃) = Dic₁₅⋊₁₆D₄	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₂²	240		C2^2:3(D5xDic3)	480,635
C₂²⋊₄(D₅×Dic₃) = D₅×C₆.D₄	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₂²	120		C2^2:4(D5xDic3)	480,623

Non-split extensions G=N.Q with N=C₂² and Q=D₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(D₅×Dic₃) = D₂₀.₃Dic₃	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₂²	240	4	C2^2.1(D5xDic3)	480,359
C₂².₂(D₅×Dic₃) = D₂₀.₂Dic₃	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₂²	240	4	C2^2.2(D5xDic3)	480,360
C₂².₃(D₅×Dic₃) = C₆₀.₂₈D₄	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.3(D5xDic3)	480,34
C₂².₄(D₅×Dic₃) = C₁₂.₆D₂₀	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₂²	240	4	C2^2.4(D5xDic3)	480,37
C₂².₅(D₅×Dic₃) = (C₂×C₆).D₂₀	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.5(D5xDic3)	480,71
C₂².₆(D₅×Dic₃) = D₅×C₄.Dic₃	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₂²	120	4	C2^2.6(D5xDic3)	480,358
C₂².₇(D₅×Dic₃) = (C₆×Dic₅)⋊₇C₄	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₂²	240		C2^2.7(D5xDic3)	480,604
C₂².₈(D₅×Dic₃) = Dic₅×C₃⋊C₈	central extension (φ=1)	480		C2^2.8(D5xDic3)	480,25
C₂².₉(D₅×Dic₃) = C₃₀.₂₁C₄²	central extension (φ=1)	480		C2^2.9(D5xDic3)	480,28
C₂².₁₀(D₅×Dic₃) = C₆₀.₉₃D₄	central extension (φ=1)	240		C2^2.10(D5xDic3)	480,31
C₂².₁₁(D₅×Dic₃) = C₆₀.₁₃Q₈	central extension (φ=1)	480		C2^2.11(D5xDic3)	480,58
C₂².₁₂(D₅×Dic₃) = C₃₀.₂₄C₄²	central extension (φ=1)	480		C2^2.12(D5xDic3)	480,70
C₂².₁₃(D₅×Dic₃) = C₂×D₅×C₃⋊C₈	central extension (φ=1)	240		C2^2.13(D5xDic3)	480,357
C₂².₁₄(D₅×Dic₃) = C₂×C₂₀.₃₂D₆	central extension (φ=1)	240		C2^2.14(D5xDic3)	480,369
C₂².₁₅(D₅×Dic₃) = C₂×Dic₃×Dic₅	central extension (φ=1)	480		C2^2.15(D5xDic3)	480,603
C₂².₁₆(D₅×Dic₃) = C₂×D₁₀⋊Dic₃	central extension (φ=1)	240		C2^2.16(D5xDic3)	480,611
C₂².₁₇(D₅×Dic₃) = C₂×C₃₀.Q₈	central extension (φ=1)	480		C2^2.17(D5xDic3)	480,617

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