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

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

		d	ρ	Label	ID
C₂xC₁₂₀		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 = C₂xC₁₅:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃₀	240		C30:1C8	240,122
C₃₀:₂C₈ = C₆xC₅:C₈	φ: C₈/C₂ → C₄ ⊆ Aut C₃₀	240		C30:2C8	240,115
C₃₀:₃C₈ = C₂xC₁₅:₃C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:3C8	240,70
C₃₀:₄C₈ = C₆xC₅:₂C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240		C30:4C8	240,38
C₃₀:₅C₈ = C₁₀xC₃: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 = C₃xC₅: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 = C₃xC₅:₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240	2	C30.4C8	240,2
C₃₀.₅C₈ = C₅xC₃:C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₃₀	240	2	C30.5C8	240,1

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