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

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

		d	ρ	Label	ID
C₅×C₁₂⋊D₄		240		C5xC12:D4	480,774

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₁₂⋊D₄) = D₃₀⋊D₄	φ: C₁₂⋊D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C12:D4)	480,496
C₅⋊₂(C₁₂⋊D₄) = C₄⋊D₆₀	φ: C₁₂⋊D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(C12:D4)	480,860
C₅⋊₃(C₁₂⋊D₄) = C₆₀⋊₆D₄	φ: C₁₂⋊D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:3(C12:D4)	480,536
C₅⋊₄(C₁₂⋊D₄) = Dic₅⋊D₁₂	φ: C₁₂⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C12:D4)	480,492
C₅⋊₅(C₁₂⋊D₄) = C₂₀⋊₂D₁₂	φ: C₁₂⋊D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:5(C12:D4)	480,542

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