Extensions 1→N→G→Q→1 with N=C₃₀ and Q=Q₈

Direct product G=N×Q with N=C₃₀ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃₀		240		Q8xC30	240,187

Semidirect products G=N:Q with N=C₃₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊Q₈ = C₂×C₁₅⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₀	240		C30:Q8	240,148
C₃₀⋊₂Q₈ = C₂×Dic₃₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:2Q8	240,175
C₃₀⋊₃Q₈ = C₆×Dic₁₀	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:3Q8	240,155
C₃₀⋊₄Q₈ = C₁₀×Dic₆	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:4Q8	240,165

Non-split extensions G=N.Q with N=C₃₀ and Q=Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁Q₈ = C₃₀.Q₈	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₀	240		C30.1Q8	240,29
C₃₀.₂Q₈ = Dic₁₅⋊₅C₄	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₀	240		C30.2Q8	240,30
C₃₀.₃Q₈ = C₆.Dic₁₀	φ: Q₈/C₂ → C₂² ⊆ Aut C₃₀	240		C30.3Q8	240,31
C₃₀.₄Q₈ = C₃₀.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30.4Q8	240,73
C₃₀.₅Q₈ = C₆₀⋊₅C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30.5Q8	240,74
C₃₀.₆Q₈ = C₃×C₁₀.D₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30.6Q8	240,41
C₃₀.₇Q₈ = C₃×C₄⋊Dic₅	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30.7Q8	240,42
C₃₀.₈Q₈ = C₅×Dic₃⋊C₄	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30.8Q8	240,57
C₃₀.₉Q₈ = C₅×C₄⋊Dic₃	φ: Q₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30.9Q8	240,58
C₃₀.₁₀Q₈ = C₁₅×C₄⋊C₄	central extension (φ=1)	240		C30.10Q8	240,83

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