Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₅×D₄

Direct product G=N×Q with N=Dic₃ and Q=C₅×D₄

		d	ρ	Label	ID
C₅×D₄×Dic₃		240		C5xD4xDic3	480,813

Semidirect products G=N:Q with N=Dic₃ and Q=C₅×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₅×D₄) = C₅×C₁₂⋊₃D₄	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:1(C5xD4)	480,819
Dic₃⋊₂(C₅×D₄) = C₅×Dic₃⋊D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:2(C5xD4)	480,763
Dic₃⋊₃(C₅×D₄) = C₅×C₂³.₁₄D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C5xD4)	480,818
Dic₃⋊₄(C₅×D₄) = C₅×Dic₃⋊₄D₄	φ: trivial image	240		Dic3:4(C5xD4)	480,760
Dic₃⋊₅(C₅×D₄) = C₅×Dic₃⋊₅D₄	φ: trivial image	240		Dic3:5(C5xD4)	480,772

Non-split extensions G=N.Q with N=Dic₃ and Q=C₅×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₅×D₄) = C₅×C₂³.₁₁D₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3.1(C5xD4)	480,764
Dic₃.₂(C₅×D₄) = C₅×C₁₂⋊Q₈	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.2(C5xD4)	480,767
Dic₃.₃(C₅×D₄) = C₅×S₃×D₈	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.3(C5xD4)	480,789
Dic₃.₄(C₅×D₄) = C₅×S₃×SD₁₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.4(C5xD4)	480,792
Dic₃.₅(C₅×D₄) = C₅×S₃×Q₁₆	φ: C₅×D₄/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.5(C5xD4)	480,796
Dic₃.₆(C₅×D₄) = C₅×Dic₃.D₄	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.6(C5xD4)	480,757
Dic₃.₇(C₅×D₄) = C₅×D₆⋊Q₈	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.7(C5xD4)	480,775
Dic₃.₈(C₅×D₄) = C₅×D₈⋊S₃	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.8(C5xD4)	480,790
Dic₃.₉(C₅×D₄) = C₅×Q₈⋊₃D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.9(C5xD4)	480,793
Dic₃.₁₀(C₅×D₄) = C₅×D₄.D₆	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.10(C5xD4)	480,794
Dic₃.₁₁(C₅×D₄) = C₅×Q₁₆⋊S₃	φ: C₅×D₄/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.11(C5xD4)	480,797
Dic₃.₁₂(C₅×D₄) = C₅×D₈⋊₃S₃	φ: trivial image	240	4	Dic3.12(C5xD4)	480,791
Dic₃.₁₃(C₅×D₄) = C₅×Q₈.₇D₆	φ: trivial image	240	4	Dic3.13(C5xD4)	480,795
Dic₃.₁₄(C₅×D₄) = C₅×D₂₄⋊C₂	φ: trivial image	240	4	Dic3.14(C5xD4)	480,798

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