Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×F₅

Direct product G=N×Q with N=Dic₃ and Q=C₂×F₅

		d	ρ	Label	ID
C₂×Dic₃×F₅		120		C2xDic3xF5	480,998

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×F₅) = F₅×C₃⋊D₄	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	60	8	Dic3:1(C2xF5)	480,1010
Dic₃⋊₂(C₂×F₅) = C₃⋊D₄⋊F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	60	8	Dic3:2(C2xF5)	480,1012
Dic₃⋊₃(C₂×F₅) = S₃×C₄⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Dic₃	60	8	Dic3:3(C2xF5)	480,996
Dic₃⋊₄(C₂×F₅) = C₂×Dic₃⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Dic₃	120		Dic3:4(C2xF5)	480,1001
Dic₃⋊₅(C₂×F₅) = C₄×S₃×F₅	φ: trivial image	60	8	Dic3:5(C2xF5)	480,994

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×F₅) = F₅×Dic₆	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	120	8-	Dic3.1(C2xF5)	480,982
Dic₃.₂(C₂×F₅) = Dic₆⋊₅F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	120	8-	Dic3.2(C2xF5)	480,984
Dic₃.₃(C₂×F₅) = D₆₀.C₄	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	240	8+	Dic3.3(C2xF5)	480,990
Dic₃.₄(C₂×F₅) = Dic₆.F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	240	8+	Dic3.4(C2xF5)	480,992
Dic₃.₅(C₂×F₅) = C₅⋊C₈.D₆	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	240	8	Dic3.5(C2xF5)	480,1003
Dic₃.₆(C₂×F₅) = D₁₅⋊C₈⋊C₂	φ: C₂×F₅/F₅ → C₂ ⊆ Out Dic₃	240	8	Dic3.6(C2xF5)	480,1005
Dic₃.₇(C₂×F₅) = (C₄×S₃)⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Dic₃	120	8	Dic3.7(C2xF5)	480,985
Dic₃.₈(C₂×F₅) = S₃×C₄.F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Dic₃	120	8	Dic3.8(C2xF5)	480,988
Dic₃.₉(C₂×F₅) = C₅⋊C₈⋊D₆	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Dic₃	120	8	Dic3.9(C2xF5)	480,993
Dic₃.₁₀(C₂×F₅) = C₂×Dic₃.F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.10(C2xF5)	480,1009
Dic₃.₁₁(C₂×F₅) = C₄⋊F₅⋊₃S₃	φ: trivial image	120	8	Dic3.11(C2xF5)	480,983
Dic₃.₁₂(C₂×F₅) = S₃×D₅⋊C₈	φ: trivial image	120	8	Dic3.12(C2xF5)	480,986
Dic₃.₁₃(C₂×F₅) = D₁₅⋊M₄(2)	φ: trivial image	120	8	Dic3.13(C2xF5)	480,991
Dic₃.₁₄(C₂×F₅) = C₂²⋊F₅.S₃	φ: trivial image	120	8-	Dic3.14(C2xF5)	480,999
Dic₃.₁₅(C₂×F₅) = C₂×D₁₅⋊C₈	φ: trivial image	240		Dic3.15(C2xF5)	480,1006
Dic₃.₁₆(C₂×F₅) = D₁₅⋊₂M₄(2)	φ: trivial image	120	8+	Dic3.16(C2xF5)	480,1007

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