Extensions 1→N→G→Q→1 with N=C₃₀ and Q=SD₁₆

Direct product G=N×Q with N=C₃₀ and Q=SD₁₆

		d	ρ	Label	ID
SD₁₆×C₃₀		240		SD16xC30	480,938

Semidirect products G=N:Q with N=C₃₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃₀⋊₁SD₁₆ = C₂×C₃₀.D₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30:1SD16	480,382
C₃₀⋊₂SD₁₆ = C₂×C₂₀.D₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30:2SD16	480,384
C₃₀⋊₃SD₁₆ = C₂×C₆.D₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30:3SD16	480,386
C₃₀⋊₄SD₁₆ = C₂×C₁₅⋊SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30:4SD16	480,390
C₃₀⋊₅SD₁₆ = C₂×D₁₂.D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30:5SD16	480,392
C₃₀⋊₆SD₁₆ = C₂×Dic₆⋊D₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30:6SD16	480,393
C₃₀⋊₇SD₁₆ = C₂×C₂₄⋊D₅	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	240	C30:7SD16	480,867
C₃₀⋊₈SD₁₆ = C₆×C₄₀⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	240	C30:8SD16	480,695
C₃₀⋊₉SD₁₆ = C₁₀×C₂₄⋊C₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	240	C30:9SD16	480,781
C₃₀⋊₁₀SD₁₆ = C₂×D₄.D₁₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	240	C30:10SD16	480,898
C₃₀⋊₁₁SD₁₆ = C₆×D₄.D₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	240	C30:11SD16	480,726
C₃₀⋊₁₂SD₁₆ = C₁₀×D₄.S₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	240	C30:12SD16	480,812
C₃₀⋊₁₃SD₁₆ = C₂×Q₈⋊₂D₁₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	240	C30:13SD16	480,906
C₃₀⋊₁₄SD₁₆ = C₆×Q₈⋊D₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	240	C30:14SD16	480,734
C₃₀⋊₁₅SD₁₆ = C₁₀×Q₈⋊₂S₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	240	C30:15SD16	480,820

Non-split extensions G=N.Q with N=C₃₀ and Q=SD₁₆

extension	φ:Q→Aut N	d	Label	ID
C₃₀.₁SD₁₆ = C₃₀.D₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30.1SD16	480,40
C₃₀.₂SD₁₆ = C₆.D₄₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30.2SD16	480,41
C₃₀.₃SD₁₆ = D₁₂⋊Dic₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30.3SD16	480,42
C₃₀.₄SD₁₆ = C₁₀.D₂₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30.4SD16	480,43
C₃₀.₅SD₁₆ = D₆₀⋊₁₂C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30.5SD16	480,44
C₃₀.₆SD₁₆ = D₆₀⋊₁₅C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	240	C30.6SD16	480,45
C₃₀.₇SD₁₆ = C₃₀.Q₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.7SD16	480,46
C₃₀.₈SD₁₆ = C₆.Dic₂₀	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.8SD16	480,47
C₃₀.₉SD₁₆ = Dic₆⋊Dic₅	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.9SD16	480,48
C₃₀.₁₀SD₁₆ = C₁₀.Dic₁₂	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.10SD16	480,49
C₃₀.₁₁SD₁₆ = Dic₃₀⋊₁₂C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.11SD16	480,50
C₃₀.₁₂SD₁₆ = Dic₃₀⋊₁₅C₄	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.12SD16	480,51
C₃₀.₁₃SD₁₆ = C₆₀.₇Q₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.13SD16	480,61
C₃₀.₁₄SD₁₆ = C₃₀.SD₁₆	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.14SD16	480,62
C₃₀.₁₅SD₁₆ = C₆₀.Q₈	φ: SD₁₆/C₄ → C₂² ⊆ Aut C₃₀	480	C30.15SD16	480,63
C₃₀.₁₆SD₁₆ = Dic₃₀⋊₈C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.16SD16	480,176
C₃₀.₁₇SD₁₆ = C₁₂₀⋊₁₀C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.17SD16	480,177
C₃₀.₁₈SD₁₆ = D₆₀⋊₈C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	240	C30.18SD16	480,181
C₃₀.₁₉SD₁₆ = C₃×C₂₀.₄₄D₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.19SD16	480,94
C₃₀.₂₀SD₁₆ = C₃×C₄₀⋊₆C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.20SD16	480,95
C₃₀.₂₁SD₁₆ = C₃×D₂₀⋊₅C₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	240	C30.21SD16	480,99
C₃₀.₂₂SD₁₆ = C₅×C₂.Dic₁₂	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.22SD16	480,135
C₃₀.₂₃SD₁₆ = C₅×C₈⋊Dic₃	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	C30.23SD16	480,136
C₃₀.₂₄SD₁₆ = C₅×C₂.D₂₄	φ: SD₁₆/C₈ → C₂ ⊆ Aut C₃₀	240	C30.24SD16	480,140
C₃₀.₂₅SD₁₆ = C₆₀.₂Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	480	C30.25SD16	480,168
C₃₀.₂₆SD₁₆ = Dic₃₀⋊₉C₄	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	480	C30.26SD16	480,170
C₃₀.₂₇SD₁₆ = D₄⋊Dic₁₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	240	C30.27SD16	480,192
C₃₀.₂₈SD₁₆ = C₃×C₂₀.Q₈	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	480	C30.28SD16	480,86
C₃₀.₂₉SD₁₆ = C₃×C₁₀.Q₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	480	C30.29SD16	480,88
C₃₀.₃₀SD₁₆ = C₃×D₄⋊Dic₅	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	240	C30.30SD16	480,110
C₃₀.₃₁SD₁₆ = C₅×C₆.SD₁₆	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	480	C30.31SD16	480,129
C₃₀.₃₂SD₁₆ = C₅×D₄⋊Dic₃	φ: SD₁₆/D₄ → C₂ ⊆ Aut C₃₀	240	C30.32SD16	480,151
C₃₀.₃₃SD₁₆ = D₆₀⋊₉C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	240	C30.33SD16	480,169
C₃₀.₃₄SD₁₆ = Q₈⋊₂Dic₁₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.34SD16	480,195
C₃₀.₃₅SD₁₆ = C₃×D₂₀⋊₆C₄	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	240	C30.35SD16	480,87
C₃₀.₃₆SD₁₆ = C₃×Q₈⋊Dic₅	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.36SD16	480,113
C₃₀.₃₇SD₁₆ = C₅×C₁₂.Q₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.37SD16	480,127
C₃₀.₃₈SD₁₆ = C₅×C₆.D₈	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	240	C30.38SD16	480,128
C₃₀.₃₉SD₁₆ = C₅×Q₈⋊₂Dic₃	φ: SD₁₆/Q₈ → C₂ ⊆ Aut C₃₀	480	C30.39SD16	480,154
C₃₀.₄₀SD₁₆ = C₁₅×D₄⋊C₄	central extension (φ=1)	240	C30.40SD16	480,205
C₃₀.₄₁SD₁₆ = C₁₅×Q₈⋊C₄	central extension (φ=1)	480	C30.41SD16	480,206
C₃₀.₄₂SD₁₆ = C₁₅×C₄.Q₈	central extension (φ=1)	480	C30.42SD16	480,209

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Extensions 1→N→G→Q→1 with N=C30 and Q=SD16

Extensions 1→N→G→Q→1 with N=C₃₀ and Q=SD₁₆