Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₀.₂₃D₄

Direct product G=N×Q with N=C₃ and Q=C₂₀.₂₃D₄

		d	ρ	Label	ID
C₃×C₂₀.₂₃D₄		240		C3xC20.23D4	480,740

Semidirect products G=N:Q with N=C₃ and Q=C₂₀.₂₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂₀.₂₃D₄) = C₆₀.₇₀D₄	φ: C₂₀.₂₃D₄/C₄×Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(C20.23D4)	480,451
C₃⋊₂(C₂₀.₂₃D₄) = (C₂×Dic₆)⋊D₅	φ: C₂₀.₂₃D₄/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C20.23D4)	480,531
C₃⋊₃(C₂₀.₂₃D₄) = C₆₀.₈₈D₄	φ: C₂₀.₂₃D₄/C₂×D₂₀ → C₂ ⊆ Aut C₃	240		C3:3(C20.23D4)	480,444
C₃⋊₄(C₂₀.₂₃D₄) = C₆₀.₂₃D₄	φ: C₂₀.₂₃D₄/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240		C3:4(C20.23D4)	480,912

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁