Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₁₀

Direct product G=N×Q with N=C₁₂ and Q=Dic₁₀

		d	ρ	Label	ID
C₁₂×Dic₁₀		480		C12xDic10	480,661

Semidirect products G=N:Q with N=C₁₂ and Q=Dic₁₀

extension	φ:Q→Aut N	d	Label	ID
C₁₂⋊₁Dic₁₀ = C₂₀⋊₄Dic₆	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12:1Dic10	480,545
C₁₂⋊₂Dic₁₀ = C₂₀⋊Dic₆	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12:2Dic10	480,546
C₁₂⋊₃Dic₁₀ = C₄⋊Dic₃₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12:3Dic10	480,853
C₁₂⋊₄Dic₁₀ = C₆₀⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12:4Dic10	480,544
C₁₂⋊₅Dic₁₀ = C₄×C₁₅⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12:5Dic10	480,543
C₁₂⋊₆Dic₁₀ = C₃×C₂₀⋊Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12:6Dic10	480,681
C₁₂⋊₇Dic₁₀ = C₆₀⋊₈Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12:7Dic10	480,834
C₁₂⋊₈Dic₁₀ = C₄×Dic₃₀	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12:8Dic10	480,833
C₁₂⋊₉Dic₁₀ = C₃×C₂₀⋊₂Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12:9Dic10	480,662

Non-split extensions G=N.Q with N=C₁₂ and Q=Dic₁₀

extension	φ:Q→Aut N	d	Label	ID
C₁₂.₁Dic₁₀ = C₃₀.SD₁₆	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.1Dic10	480,62
C₁₂.₂Dic₁₀ = C₆₀.Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.2Dic10	480,63
C₁₂.₃Dic₁₀ = C₃₀.₂₀D₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.3Dic10	480,65
C₁₂.₄Dic₁₀ = C₆₀.₅Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.4Dic10	480,66
C₁₂.₅Dic₁₀ = C₆₀.₁Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.5Dic10	480,167
C₁₂.₆Dic₁₀ = C₆₀.₂Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.6Dic10	480,168
C₁₂.₇Dic₁₀ = C₆₀.₆Q₈	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.7Dic10	480,457
C₁₂.₈Dic₁₀ = C₁₂.Dic₁₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.8Dic10	480,460
C₁₂.₉Dic₁₀ = C₄.Dic₃₀	φ: Dic₁₀/C₁₀ → C₂² ⊆ Aut C₁₂	480	C12.9Dic10	480,855
C₁₂.₁₀Dic₁₀ = C₆₀.₇Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.10Dic10	480,61
C₁₂.₁₁Dic₁₀ = C₆₀.₈Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.11Dic10	480,64
C₁₂.₁₂Dic₁₀ = C₂₀.Dic₆	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.12Dic10	480,464
C₁₂.₁₃Dic₁₀ = C₆₀.₁₃Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.13Dic10	480,58
C₁₂.₁₄Dic₁₀ = C₆₀.₁₄Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.14Dic10	480,59
C₁₂.₁₅Dic₁₀ = C₆₀.₁₅Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.15Dic10	480,60
C₁₂.₁₆Dic₁₀ = C₃×C₁₀.D₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.16Dic10	480,85
C₁₂.₁₇Dic₁₀ = C₃×C₂₀.Q₈	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.17Dic10	480,86
C₁₂.₁₈Dic₁₀ = C₃×C₄.Dic₁₀	φ: Dic₁₀/Dic₅ → C₂ ⊆ Aut C₁₂	480	C12.18Dic10	480,683
C₁₂.₁₉Dic₁₀ = C₁₂₀⋊₁₀C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.19Dic10	480,177
C₁₂.₂₀Dic₁₀ = C₁₂₀⋊₉C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.20Dic10	480,178
C₁₂.₂₁Dic₁₀ = C₆₀.₂₄Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.21Dic10	480,835
C₁₂.₂₂Dic₁₀ = C₆₀⋊₅C₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.22Dic10	480,164
C₁₂.₂₃Dic₁₀ = C₆₀.₂₆Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.23Dic10	480,174
C₁₂.₂₄Dic₁₀ = C₃×C₄₀⋊₆C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.24Dic10	480,95
C₁₂.₂₅Dic₁₀ = C₃×C₄₀⋊₅C₄	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.25Dic10	480,96
C₁₂.₂₆Dic₁₀ = C₃×C₂₀.₆Q₈	φ: Dic₁₀/C₂₀ → C₂ ⊆ Aut C₁₂	480	C12.26Dic10	480,663
C₁₂.₂₇Dic₁₀ = C₃×C₂₀⋊₃C₈	central extension (φ=1)	480	C12.27Dic10	480,82
C₁₂.₂₈Dic₁₀ = C₃×C₂₀.₈Q₈	central extension (φ=1)	480	C12.28Dic10	480,92

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Extensions 1→N→G→Q→1 with N=C12 and Q=Dic10

Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₁₀