Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₈

Direct product G=N×Q with N=C₃₀ and Q=C₈

		d	ρ	Label	ID
C₂×C₁₂₀		240		C2xC120	240,84

Semidirect products G=N:Q with N=C₃₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁C₈ = C₂×C₁₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃₀	240		C30:1C8	240,122
C₃₀⋊₂C₈ = C₆×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃₀	240		C30:2C8	240,115
C₃₀⋊₃C₈ = C₂×C₁₅⋊₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:3C8	240,70
C₃₀⋊₄C₈ = C₆×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:4C8	240,38
C₃₀⋊₅C₈ = C₁₀×C₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:5C8	240,54

Non-split extensions G=N.Q with N=C₃₀ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₈ = C₁₅⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₃₀	240	4	C30.1C8	240,6
C₃₀.₂C₈ = C₃×C₅⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Aut C₃₀	240	4	C30.2C8	240,5
C₃₀.₃C₈ = C₁₅⋊₃C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240	2	C30.3C8	240,3
C₃₀.₄C₈ = C₃×C₅⋊₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240	2	C30.4C8	240,2
C₃₀.₅C₈ = C₅×C₃⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240	2	C30.5C8	240,1

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