Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₆₇C₂³

Direct product G=N×Q with N=C₃ and Q=C₂³.₆₇C₂³

		d	ρ	Label	ID
C₃×C₂³.₆₇C₂³		192		C3xC2^3.67C2^3	192,824

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₆₇C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₆₇C₂³) = (C₂×C₁₂)⋊Q₈	φ: C₂³.₆₇C₂³/C₂.C₄² → C₂ ⊆ Aut C₃	192		C3:1(C2^3.67C2^3)	192,205
C₃⋊₂(C₂³.₆₇C₂³) = (C₂×Dic₆)⋊₇C₄	φ: C₂³.₆₇C₂³/C₂×C₄² → C₂ ⊆ Aut C₃	192		C3:2(C2^3.67C2^3)	192,488
C₃⋊₃(C₂³.₆₇C₂³) = C₄.(D₆⋊C₄)	φ: C₂³.₆₇C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	192		C3:3(C2^3.67C2^3)	192,532
C₃⋊₄(C₂³.₆₇C₂³) = (C₆×Q₈)⋊₇C₄	φ: C₂³.₆₇C₂³/C₂²×Q₈ → C₂ ⊆ Aut C₃	192		C3:4(C2^3.67C2^3)	192,788

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁