Extensions 1→N→G→Q→1 with N=C₆₀ and Q=Q₈

Direct product G=N×Q with N=C₆₀ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₆₀		480		Q8xC60	480,924

Semidirect products G=N:Q with N=C₆₀ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₆₀⋊₁Q₈ = C₄⋊Dic₃₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:1Q8	480,853
C₆₀⋊₂Q₈ = C₂₀⋊₄Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:2Q8	480,545
C₆₀⋊₃Q₈ = C₆₀⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:3Q8	480,544
C₆₀⋊₄Q₈ = C₂₀⋊Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:4Q8	480,546
C₆₀⋊₅Q₈ = C₄×C₁₅⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:5Q8	480,543
C₆₀⋊₆Q₈ = C₃×C₂₀⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:6Q8	480,681
C₆₀⋊₇Q₈ = C₅×C₁₂⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60:7Q8	480,767
C₆₀⋊₈Q₈ = C₆₀⋊₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:8Q8	480,834
C₆₀⋊₉Q₈ = C₄×Dic₃₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:9Q8	480,833
C₆₀⋊₁₀Q₈ = C₃×C₂₀⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:10Q8	480,662
C₆₀⋊₁₁Q₈ = C₅×C₁₂⋊₂Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:11Q8	480,748
C₆₀⋊₁₂Q₈ = C₁₂×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:12Q8	480,661
C₆₀⋊₁₃Q₈ = C₂₀×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:13Q8	480,747
C₆₀⋊₁₄Q₈ = C₁₅×C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60:14Q8	480,933

Non-split extensions G=N.Q with N=C₆₀ and Q=Q₈

extension	φ:Q→Aut N	d	Label	ID
C₆₀.₁Q₈ = C₆₀.₁Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.1Q8	480,167
C₆₀.₂Q₈ = C₆₀.₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.2Q8	480,168
C₆₀.₃Q₈ = C₄.Dic₃₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.3Q8	480,855
C₆₀.₄Q₈ = C₆₀.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.4Q8	480,63
C₆₀.₅Q₈ = C₆₀.₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.5Q8	480,66
C₆₀.₆Q₈ = C₆₀.₆Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.6Q8	480,457
C₆₀.₇Q₈ = C₆₀.₇Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.7Q8	480,61
C₆₀.₈Q₈ = C₆₀.₈Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.8Q8	480,64
C₆₀.₉Q₈ = C₂₀.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.9Q8	480,464
C₆₀.₁₀Q₈ = C₃₀.SD₁₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.10Q8	480,62
C₆₀.₁₁Q₈ = C₃₀.₂₀D₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.11Q8	480,65
C₆₀.₁₂Q₈ = C₁₂.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.12Q8	480,460
C₆₀.₁₃Q₈ = C₆₀.₁₃Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.13Q8	480,58
C₆₀.₁₄Q₈ = C₆₀.₁₄Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.14Q8	480,59
C₆₀.₁₅Q₈ = C₆₀.₁₅Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.15Q8	480,60
C₆₀.₁₆Q₈ = C₃×C₁₀.D₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.16Q8	480,85
C₆₀.₁₇Q₈ = C₃×C₂₀.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.17Q8	480,86
C₆₀.₁₈Q₈ = C₃×C₄.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.18Q8	480,683
C₆₀.₁₉Q₈ = C₅×C₆.Q₁₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.19Q8	480,126
C₆₀.₂₀Q₈ = C₅×C₁₂.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.20Q8	480,127
C₆₀.₂₁Q₈ = C₅×C₄.Dic₆	φ: Q₈/C₂ → C₂² ⊆ Aut C₆₀	480	C60.21Q8	480,769
C₆₀.₂₂Q₈ = C₁₂₀⋊₁₀C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.22Q8	480,177
C₆₀.₂₃Q₈ = C₁₂₀⋊₉C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.23Q8	480,178
C₆₀.₂₄Q₈ = C₆₀.₂₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.24Q8	480,835
C₆₀.₂₅Q₈ = C₆₀⋊₅C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.25Q8	480,164
C₆₀.₂₆Q₈ = C₆₀.₂₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.26Q8	480,174
C₆₀.₂₇Q₈ = C₃×C₄₀⋊₆C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.27Q8	480,95
C₆₀.₂₈Q₈ = C₃×C₄₀⋊₅C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.28Q8	480,96
C₆₀.₂₉Q₈ = C₃×C₂₀.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.29Q8	480,663
C₆₀.₃₀Q₈ = C₅×C₈⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.30Q8	480,136
C₆₀.₃₁Q₈ = C₅×C₂₄⋊₁C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.31Q8	480,137
C₆₀.₃₂Q₈ = C₅×C₁₂.₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.32Q8	480,749
C₆₀.₃₃Q₈ = C₃×C₂₀⋊₃C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.33Q8	480,82
C₆₀.₃₄Q₈ = C₃×C₂₀.₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.34Q8	480,92
C₆₀.₃₅Q₈ = C₅×C₁₂⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.35Q8	480,123
C₆₀.₃₆Q₈ = C₅×Dic₃⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.36Q8	480,133
C₆₀.₃₇Q₈ = C₁₅×C₄.Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.37Q8	480,209
C₆₀.₃₈Q₈ = C₁₅×C₂.D₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.38Q8	480,210
C₆₀.₃₉Q₈ = C₁₅×C₄².C₂	φ: Q₈/C₄ → C₂ ⊆ Aut C₆₀	480	C60.39Q8	480,930
C₆₀.₄₀Q₈ = C₁₅×C₄⋊C₈	central extension (φ=1)	480	C60.40Q8	480,208

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Extensions 1→N→G→Q→1 with N=C60 and Q=Q8

Extensions 1→N→G→Q→1 with N=C₆₀ and Q=Q₈