Extensions 1→N→G→Q→1 with N=C₂₀ and Q=Dic₆

Direct product G=N×Q with N=C₂₀ and Q=Dic₆

		d	ρ	Label	ID
C₂₀×Dic₆		480		C20xDic6	480,747

Semidirect products G=N:Q with N=C₂₀ and Q=Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀⋊₁Dic₆ = C₆₀⋊Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20:1Dic6	480,544
C₂₀⋊₂Dic₆ = C₂₀⋊Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20:2Dic6	480,546
C₂₀⋊₃Dic₆ = C₄⋊Dic₃₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20:3Dic6	480,853
C₂₀⋊₄Dic₆ = C₂₀⋊₄Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20:4Dic6	480,545
C₂₀⋊₅Dic₆ = C₄×C₁₅⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20:5Dic6	480,543
C₂₀⋊₆Dic₆ = C₅×C₁₂⋊Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20:6Dic6	480,767
C₂₀⋊₇Dic₆ = C₆₀⋊₈Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20:7Dic6	480,834
C₂₀⋊₈Dic₆ = C₄×Dic₃₀	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20:8Dic6	480,833
C₂₀⋊₉Dic₆ = C₅×C₁₂⋊₂Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20:9Dic6	480,748

Non-split extensions G=N.Q with N=C₂₀ and Q=Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀.₁Dic₆ = C₆₀.₇Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.1Dic6	480,61
C₂₀.₂Dic₆ = C₃₀.SD₁₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.2Dic6	480,62
C₂₀.₃Dic₆ = C₆₀.₈Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.3Dic6	480,64
C₂₀.₄Dic₆ = C₃₀.₂₀D₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.4Dic6	480,65
C₂₀.₅Dic₆ = C₆₀.₁Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.5Dic6	480,167
C₂₀.₆Dic₆ = C₆₀.₂Q₈	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.6Dic6	480,168
C₂₀.₇Dic₆ = C₁₂.Dic₁₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.7Dic6	480,460
C₂₀.₈Dic₆ = C₂₀.Dic₆	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.8Dic6	480,464
C₂₀.₉Dic₆ = C₄.Dic₃₀	φ: Dic₆/C₆ → C₂² ⊆ Aut C₂₀	480	C20.9Dic6	480,855
C₂₀.₁₀Dic₆ = C₆₀.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.10Dic6	480,63
C₂₀.₁₁Dic₆ = C₆₀.₅Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.11Dic6	480,66
C₂₀.₁₂Dic₆ = C₆₀.₆Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.12Dic6	480,457
C₂₀.₁₃Dic₆ = C₆₀.₁₃Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.13Dic6	480,58
C₂₀.₁₄Dic₆ = C₆₀.₁₄Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.14Dic6	480,59
C₂₀.₁₅Dic₆ = C₆₀.₁₅Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.15Dic6	480,60
C₂₀.₁₆Dic₆ = C₅×C₆.Q₁₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.16Dic6	480,126
C₂₀.₁₇Dic₆ = C₅×C₁₂.Q₈	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.17Dic6	480,127
C₂₀.₁₈Dic₆ = C₅×C₄.Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Aut C₂₀	480	C20.18Dic6	480,769
C₂₀.₁₉Dic₆ = C₁₂₀⋊₁₀C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.19Dic6	480,177
C₂₀.₂₀Dic₆ = C₁₂₀⋊₉C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.20Dic6	480,178
C₂₀.₂₁Dic₆ = C₆₀.₂₄Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.21Dic6	480,835
C₂₀.₂₂Dic₆ = C₆₀⋊₅C₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.22Dic6	480,164
C₂₀.₂₃Dic₆ = C₆₀.₂₆Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.23Dic6	480,174
C₂₀.₂₄Dic₆ = C₅×C₈⋊Dic₃	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.24Dic6	480,136
C₂₀.₂₅Dic₆ = C₅×C₂₄⋊₁C₄	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.25Dic6	480,137
C₂₀.₂₆Dic₆ = C₅×C₁₂.₆Q₈	φ: Dic₆/C₁₂ → C₂ ⊆ Aut C₂₀	480	C20.26Dic6	480,749
C₂₀.₂₇Dic₆ = C₅×C₁₂⋊C₈	central extension (φ=1)	480	C20.27Dic6	480,123
C₂₀.₂₈Dic₆ = C₅×Dic₃⋊C₈	central extension (φ=1)	480	C20.28Dic6	480,133

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Extensions 1→N→G→Q→1 with N=C20 and Q=Dic6

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=Dic₆