Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₄²⋊₂C₂

Direct product G=N×Q with N=C₃ and Q=C₂×C₄²⋊₂C₂

		d	ρ	Label	ID
C₆×C₄²⋊₂C₂		96		C6xC4^2:2C2	192,1417

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₄²⋊₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₄²⋊₂C₂) = C₂×C₄²⋊₃S₃	φ: C₂×C₄²⋊₂C₂/C₂×C₄² → C₂ ⊆ Aut C₃	96		C3:1(C2xC4^2:2C2)	192,1037
C₃⋊₂(C₂×C₄²⋊₂C₂) = C₂×C₂³.₈D₆	φ: C₂×C₄²⋊₂C₂/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2xC4^2:2C2)	192,1041
C₃⋊₃(C₂×C₄²⋊₂C₂) = C₂×C₄⋊C₄⋊S₃	φ: C₂×C₄²⋊₂C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2xC4^2:2C2)	192,1071
C₃⋊₄(C₂×C₄²⋊₂C₂) = S₃×C₄²⋊₂C₂	φ: C₂×C₄²⋊₂C₂/C₄²⋊₂C₂ → C₂ ⊆ Aut C₃	48		C3:4(C2xC4^2:2C2)	192,1262

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