Extensions 1→N→G→Q→1 with N=C₃₀ and Q=Q₁₆

Direct product G=N×Q with N=C₃₀ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×C₃₀		480		Q16xC30	480,939

Semidirect products G=N:Q with N=C₃₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃₀⋊₁Q₁₆ = C₂×C₁₅⋊Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30:1Q16	480,394
C₃₀⋊₂Q₁₆ = C₂×C₃⋊Dic₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30:2Q16	480,395
C₃₀⋊₃Q₁₆ = C₂×C₅⋊Dic₁₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30:3Q16	480,396
C₃₀⋊₄Q₁₆ = C₂×Dic₆₀	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30:4Q16	480,870
C₃₀⋊₅Q₁₆ = C₆×Dic₂₀	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30:5Q16	480,698
C₃₀⋊₆Q₁₆ = C₁₀×Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30:6Q16	480,784
C₃₀⋊₇Q₁₆ = C₂×C₁₅⋊₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30:7Q16	480,908
C₃₀⋊₈Q₁₆ = C₆×C₅⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30:8Q16	480,736
C₃₀⋊₉Q₁₆ = C₁₀×C₃⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30:9Q16	480,822

Non-split extensions G=N.Q with N=C₃₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃₀.₁Q₁₆ = C₃₀.Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.1Q16	480,46
C₃₀.₂Q₁₆ = C₆.Dic₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.2Q16	480,47
C₃₀.₃Q₁₆ = Dic₆⋊Dic₅	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.3Q16	480,48
C₃₀.₄Q₁₆ = C₁₀.Dic₁₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.4Q16	480,49
C₃₀.₅Q₁₆ = Dic₃₀⋊₁₂C₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.5Q16	480,50
C₃₀.₆Q₁₆ = Dic₃₀⋊₁₅C₄	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.6Q16	480,51
C₃₀.₇Q₁₆ = C₆₀.₈Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.7Q16	480,64
C₃₀.₈Q₁₆ = C₃₀.₂₀D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.8Q16	480,65
C₃₀.₉Q₁₆ = C₆₀.₅Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.9Q16	480,66
C₃₀.₁₀Q₁₆ = Dic₃₀⋊₈C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.10Q16	480,176
C₃₀.₁₁Q₁₆ = C₁₂₀⋊₉C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.11Q16	480,178
C₃₀.₁₂Q₁₆ = C₃×C₂₀.₄₄D₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.12Q16	480,94
C₃₀.₁₃Q₁₆ = C₃×C₄₀⋊₅C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.13Q16	480,96
C₃₀.₁₄Q₁₆ = C₅×C₂.Dic₁₂	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.14Q16	480,135
C₃₀.₁₅Q₁₆ = C₅×C₂₄⋊₁C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.15Q16	480,137
C₃₀.₁₆Q₁₆ = C₆₀.₁Q₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.16Q16	480,167
C₃₀.₁₇Q₁₆ = Dic₃₀⋊₉C₄	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.17Q16	480,170
C₃₀.₁₈Q₁₆ = Q₈⋊₂Dic₁₅	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.18Q16	480,195
C₃₀.₁₉Q₁₆ = C₃×C₁₀.D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.19Q16	480,85
C₃₀.₂₀Q₁₆ = C₃×C₁₀.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.20Q16	480,88
C₃₀.₂₁Q₁₆ = C₃×Q₈⋊Dic₅	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.21Q16	480,113
C₃₀.₂₂Q₁₆ = C₅×C₆.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.22Q16	480,126
C₃₀.₂₃Q₁₆ = C₅×C₆.SD₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.23Q16	480,129
C₃₀.₂₄Q₁₆ = C₅×Q₈⋊₂Dic₃	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.24Q16	480,154
C₃₀.₂₅Q₁₆ = C₁₅×Q₈⋊C₄	central extension (φ=1)	480	C30.25Q16	480,206
C₃₀.₂₆Q₁₆ = C₁₅×C₂.D₈	central extension (φ=1)	480	C30.26Q16	480,210

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Extensions 1→N→G→Q→1 with N=C30 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₃₀ and Q=Q₁₆