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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₄×D₅) = Dic₁₅⋊₁₃D₄	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:1(C4xD5)	480,472
Dic₃⋊₂(C₄×D₅) = C₁₅⋊₂₀(C₄×D₄)	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:2(C4xD5)	480,520
Dic₃⋊₃(C₄×D₅) = Dic₃⋊₄D₂₀	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C4xD5)	480,471
Dic₃⋊₄(C₄×D₅) = C₄×C₃⋊D₂₀	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:4(C4xD5)	480,519
Dic₃⋊₅(C₄×D₅) = D₅×Dic₃⋊C₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:5(C4xD5)	480,468
Dic₃⋊₆(C₄×D₅) = D₃₀.Q₈	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:6(C4xD5)	480,480
Dic₃⋊₇(C₄×D₅) = C₄×D₃₀.C₂	φ: trivial image	240		Dic3:7(C4xD5)	480,477

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

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₄×D₅) = C₄₀.₃₄D₆	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.1(C4xD5)	480,342
Dic₃.₂(C₄×D₅) = C₄₀.₃₅D₆	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.2(C4xD5)	480,344
Dic₃.₃(C₄×D₅) = Dic₅⋊₅Dic₆	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.3(C4xD5)	480,399
Dic₃.₄(C₄×D₅) = Dic₁₅⋊₅Q₈	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.4(C4xD5)	480,401
Dic₃.₅(C₄×D₅) = C₄₀.₅₄D₆	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.5(C4xD5)	480,341
Dic₃.₆(C₄×D₅) = C₄₀.₅₅D₆	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.6(C4xD5)	480,343
Dic₃.₇(C₄×D₅) = Dic₃⋊₅Dic₁₀	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.7(C4xD5)	480,400
Dic₃.₈(C₄×D₅) = C₄×C₁₅⋊Q₈	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.8(C4xD5)	480,543
Dic₃.₉(C₄×D₅) = D₅×C₈⋊S₃	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.9(C4xD5)	480,320
Dic₃.₁₀(C₄×D₅) = C₄₀⋊D₆	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.10(C4xD5)	480,322
Dic₃.₁₁(C₄×D₅) = D₁₀.₁₉(C₄×S₃)	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.11(C4xD5)	480,470
Dic₃.₁₂(C₄×D₅) = D₃₀.C₂⋊C₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.12(C4xD5)	480,478
Dic₃.₁₃(C₄×D₅) = S₃×C₈×D₅	φ: trivial image	120	4	Dic3.13(C4xD5)	480,319
Dic₃.₁₄(C₄×D₅) = S₃×C₈⋊D₅	φ: trivial image	120	4	Dic3.14(C4xD5)	480,321
Dic₃.₁₅(C₄×D₅) = (D₅×Dic₃)⋊C₄	φ: trivial image	240		Dic3.15(C4xD5)	480,469
Dic₃.₁₆(C₄×D₅) = D₃₀.₂₃(C₂×C₄)	φ: trivial image	240		Dic3.16(C4xD5)	480,479

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