Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₂₀D₄

Direct product G=N×Q with N=C₃ and Q=C₂³.₂₀D₄

		d	ρ	Label	ID
C₃×C₂³.₂₀D₄		96		C3xC2^3.20D4	192,918

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₂₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₂₀D₄) = C₂³.₁₅D₁₂	φ: C₂³.₂₀D₄/C₂²⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2^3.20D4)	192,282
C₃⋊₂(C₂³.₂₀D₄) = D₆⋊C₈.C₂	φ: C₂³.₂₀D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.20D4)	192,373
C₃⋊₃(C₂³.₂₀D₄) = C₈⋊Dic₃⋊C₂	φ: C₂³.₂₀D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.20D4)	192,374
C₃⋊₄(C₂³.₂₀D₄) = C₆.(C₄○D₈)	φ: C₂³.₂₀D₄/C₄.Q₈ → C₂ ⊆ Aut C₃	96		C3:4(C2^3.20D4)	192,427
C₃⋊₅(C₂³.₂₀D₄) = C₂.D₈⋊₇S₃	φ: C₂³.₂₀D₄/C₂.D₈ → C₂ ⊆ Aut C₃	96		C3:5(C2^3.20D4)	192,447
C₃⋊₆(C₂³.₂₀D₄) = C₄⋊C₄.₂₃₃D₆	φ: C₂³.₂₀D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:6(C2^3.20D4)	192,555
C₃⋊₇(C₂³.₂₀D₄) = (C₂×Q₈).₅₁D₆	φ: C₂³.₂₀D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₃	96		C3:7(C2^3.20D4)	192,604

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