Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₇₈C₂³

Direct product G=N×Q with N=C₃ and Q=C₂³.₇₈C₂³

		d	ρ	Label	ID
C₃×C₂³.₇₈C₂³		192		C3xC2^3.78C2^3	192,828

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₇₈C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₇₈C₂³) = (C₂×C₄)⋊Dic₆	φ: C₂³.₇₈C₂³/C₂.C₄² → C₂ ⊆ Aut C₃	192		C3:1(C2^3.78C2^3)	192,215
C₃⋊₂(C₂³.₇₈C₂³) = (C₂×Dic₃)⋊Q₈	φ: C₂³.₇₈C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	192		C3:2(C2^3.78C2^3)	192,538
C₃⋊₃(C₂³.₇₈C₂³) = C₂².₅₂(S₃×Q₈)	φ: C₂³.₇₈C₂³/C₂²×Q₈ → C₂ ⊆ Aut C₃	192		C3:3(C2^3.78C2^3)	192,789

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁