Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀⋊₇D₄

Direct product G=N×Q with N=C₃ and Q=C₂₀⋊₇D₄

		d	ρ	Label	ID
C₃×C₂₀⋊₇D₄		240		C3xC20:7D4	480,723

Semidirect products G=N:Q with N=C₃ and Q=C₂₀⋊₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀⋊₇D₄) = C₆₀⋊₆D₄	φ: C₂₀⋊₇D₄/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C20:7D4)	480,536
C₃⋊₂(C₂₀⋊₇D₄) = D₆⋊D₂₀	φ: C₂₀⋊₇D₄/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C20:7D4)	480,530
C₃⋊₃(C₂₀⋊₇D₄) = C₆₀⋊₄D₄	φ: C₂₀⋊₇D₄/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:3(C20:7D4)	480,532
C₃⋊₄(C₂₀⋊₇D₄) = (C₂×C₆)⋊D₂₀	φ: C₂₀⋊₇D₄/C₂×C₅⋊D₄ → C₂ ⊆ Aut C₃	240		C3:4(C20:7D4)	480,645
C₃⋊₅(C₂₀⋊₇D₄) = C₆₀⋊₂₉D₄	φ: C₂₀⋊₇D₄/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:5(C20:7D4)	480,895

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