Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₃₀

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₃₀

		d	ρ	Label	ID
C₄⋊C₄×C₃₀		480		C4:C4xC30	480,921

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₃₀ = C₁₅×D₄⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:1C30	480,205
C₄⋊C₄⋊₂C₃₀ = C₁₅×C₄⋊D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:2C30	480,926
C₄⋊C₄⋊₃C₃₀ = C₁₅×C₂²⋊Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:3C30	480,927
C₄⋊C₄⋊₄C₃₀ = C₁₅×C₂².D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:4C30	480,928
C₄⋊C₄⋊₅C₃₀ = C₁₅×C₄²⋊₂C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	240		C4:C4:5C30	480,931
C₄⋊C₄⋊₆C₃₀ = C₁₅×C₄²⋊C₂	φ: trivial image	240		C4:C4:6C30	480,922
C₄⋊C₄⋊₇C₃₀ = D₄×C₆₀	φ: trivial image	240		C4:C4:7C30	480,923

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=C₃₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₃₀ = C₁₅×Q₈⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.1C30	480,206
C₄⋊C₄.₂C₃₀ = C₁₅×C₄.Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.2C30	480,209
C₄⋊C₄.₃C₃₀ = C₁₅×C₂.D₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.3C30	480,210
C₄⋊C₄.₄C₃₀ = C₁₅×C₄².C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.4C30	480,930
C₄⋊C₄.₅C₃₀ = C₁₅×C₄⋊Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Out C₄⋊C₄	480		C4:C4.5C30	480,933
C₄⋊C₄.₆C₃₀ = Q₈×C₆₀	φ: trivial image	480		C4:C4.6C30	480,924

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