Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂×Dic₅

Direct product G=N×Q with N=C₆ and Q=C₂×Dic₅

		d	ρ	Label	ID
C₂×C₆×Dic₅		240		C2xC6xDic5	240,163

Semidirect products G=N:Q with N=C₆ and Q=C₂×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₂×Dic₅) = C₂×S₃×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₆	120		C6:1(C2xDic5)	240,142
C₆⋊₂(C₂×Dic₅) = C₂²×Dic₁₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₆	240		C6:2(C2xDic5)	240,183

Non-split extensions G=N.Q with N=C₆ and Q=C₂×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂×Dic₅) = S₃×C₅⋊₂C₈	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₆	120	4	C6.1(C2xDic5)	240,8
C₆.₂(C₂×Dic₅) = D₆.Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₆	120	4	C6.2(C2xDic5)	240,11
C₆.₃(C₂×Dic₅) = Dic₃×Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₆	240		C6.3(C2xDic5)	240,25
C₆.₄(C₂×Dic₅) = D₆⋊Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₆	120		C6.4(C2xDic5)	240,27
C₆.₅(C₂×Dic₅) = C₆.Dic₁₀	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Aut C₆	240		C6.5(C2xDic5)	240,31
C₆.₆(C₂×Dic₅) = C₂×C₁₅⋊₃C₈	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₆	240		C6.6(C2xDic5)	240,70
C₆.₇(C₂×Dic₅) = C₆₀.₇C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₆	120	2	C6.7(C2xDic5)	240,71
C₆.₈(C₂×Dic₅) = C₄×Dic₁₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₆	240		C6.8(C2xDic5)	240,72
C₆.₉(C₂×Dic₅) = C₆₀⋊₅C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₆	240		C6.9(C2xDic5)	240,74
C₆.₁₀(C₂×Dic₅) = C₃₀.₃₈D₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Aut C₆	120		C6.10(C2xDic5)	240,80
C₆.₁₁(C₂×Dic₅) = C₆×C₅⋊₂C₈	central extension (φ=1)	240		C6.11(C2xDic5)	240,38
C₆.₁₂(C₂×Dic₅) = C₃×C₄.Dic₅	central extension (φ=1)	120	2	C6.12(C2xDic5)	240,39
C₆.₁₃(C₂×Dic₅) = C₁₂×Dic₅	central extension (φ=1)	240		C6.13(C2xDic5)	240,40
C₆.₁₄(C₂×Dic₅) = C₃×C₄⋊Dic₅	central extension (φ=1)	240		C6.14(C2xDic5)	240,42
C₆.₁₅(C₂×Dic₅) = C₃×C₂³.D₅	central extension (φ=1)	120		C6.15(C2xDic5)	240,48

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