Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₂⋊₇D₄

Direct product G=N×Q with N=C₅ and Q=C₁₂⋊₇D₄

		d	ρ	Label	ID
C₅×C₁₂⋊₇D₄		240		C5xC12:7D4	480,809

Semidirect products G=N:Q with N=C₅ and Q=C₁₂⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂⋊₇D₄) = C₁₂⋊₇D₂₀	φ: C₁₂⋊₇D₄/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:1(C12:7D4)	480,526
C₅⋊₂(C₁₂⋊₇D₄) = D₁₀⋊D₁₂	φ: C₁₂⋊₇D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C12:7D4)	480,524
C₅⋊₃(C₁₂⋊₇D₄) = C₆₀⋊D₄	φ: C₁₂⋊₇D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C12:7D4)	480,525
C₅⋊₄(C₁₂⋊₇D₄) = (C₂×C₁₀)⋊₄D₁₂	φ: C₁₂⋊₇D₄/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	240		C5:4(C12:7D4)	480,642
C₅⋊₅(C₁₂⋊₇D₄) = C₆₀⋊₂₉D₄	φ: C₁₂⋊₇D₄/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:5(C12:7D4)	480,895

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