Extensions 1→N→G→Q→1 with N=C₆ and Q=C₄×Dic₅

Direct product G=N×Q with N=C₆ and Q=C₄×Dic₅

		d	ρ	Label	ID
Dic₅×C₂×C₁₂		480		Dic5xC2xC12	480,715

Semidirect products G=N:Q with N=C₆ and Q=C₄×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁(C₄×Dic₅) = C₂×Dic₃×Dic₅	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6:1(C4xDic5)	480,603
C₆⋊₂(C₄×Dic₅) = C₂×C₄×Dic₁₅	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6:2(C4xDic5)	480,887

Non-split extensions G=N.Q with N=C₆ and Q=C₄×Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₄×Dic₅) = Dic₅×C₃⋊C₈	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.1(C4xDic5)	480,25
C₆.₂(C₄×Dic₅) = Dic₃×C₅⋊₂C₈	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.2(C4xDic5)	480,26
C₆.₃(C₄×Dic₅) = Dic₁₅⋊₄C₈	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.3(C4xDic5)	480,27
C₆.₄(C₄×Dic₅) = C₃₀.₂₁C₄²	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.4(C4xDic5)	480,28
C₆.₅(C₄×Dic₅) = C₃₀.₂₂C₄²	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.5(C4xDic5)	480,29
C₆.₆(C₄×Dic₅) = C₃₀.₂₃C₄²	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.6(C4xDic5)	480,30
C₆.₇(C₄×Dic₅) = C₃₀.₂₄C₄²	φ: C₄×Dic₅/C₂×Dic₅ → C₂ ⊆ Aut C₆	480		C6.7(C4xDic5)	480,70
C₆.₈(C₄×Dic₅) = C₄×C₁₅⋊₃C₈	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.8(C4xDic5)	480,162
C₆.₉(C₄×Dic₅) = C₄².D₁₅	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.9(C4xDic5)	480,163
C₆.₁₀(C₄×Dic₅) = C₈×Dic₁₅	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.10(C4xDic5)	480,173
C₆.₁₁(C₄×Dic₅) = C₁₂₀⋊₁₃C₄	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.11(C4xDic5)	480,175
C₆.₁₂(C₄×Dic₅) = C₃₀.₂₉C₄²	φ: C₄×Dic₅/C₂×C₂₀ → C₂ ⊆ Aut C₆	480		C6.12(C4xDic5)	480,191
C₆.₁₃(C₄×Dic₅) = C₁₂×C₅⋊₂C₈	central extension (φ=1)	480		C6.13(C4xDic5)	480,80
C₆.₁₄(C₄×Dic₅) = C₃×C₄².D₅	central extension (φ=1)	480		C6.14(C4xDic5)	480,81
C₆.₁₅(C₄×Dic₅) = Dic₅×C₂₄	central extension (φ=1)	480		C6.15(C4xDic5)	480,91
C₆.₁₆(C₄×Dic₅) = C₃×C₄₀⋊₈C₄	central extension (φ=1)	480		C6.16(C4xDic5)	480,93
C₆.₁₇(C₄×Dic₅) = C₃×C₁₀.₁₀C₄²	central extension (φ=1)	480		C6.17(C4xDic5)	480,109

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