Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³.₈Q₈

Direct product G=N×Q with N=C₃ and Q=C₂³.₈Q₈

		d	ρ	Label	ID
C₃×C₂³.₈Q₈		96		C3xC2^3.8Q8	192,818

Semidirect products G=N:Q with N=C₃ and Q=C₂³.₈Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³.₈Q₈) = D₆⋊C₄⋊C₄	φ: C₂³.₈Q₈/C₂.C₄² → C₂ ⊆ Aut C₃	96		C3:1(C2^3.8Q8)	192,227
C₃⋊₂(C₂³.₈Q₈) = C₂⁴.₅₇D₆	φ: C₂³.₈Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C2^3.8Q8)	192,505
C₃⋊₃(C₂³.₈Q₈) = C₂⁴.₅₈D₆	φ: C₂³.₈Q₈/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C2^3.8Q8)	192,509
C₃⋊₄(C₂³.₈Q₈) = D₆⋊C₄⋊₆C₄	φ: C₂³.₈Q₈/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:4(C2^3.8Q8)	192,548
C₃⋊₅(C₂³.₈Q₈) = C₂⁴.₇₃D₆	φ: C₂³.₈Q₈/C₂³×C₄ → C₂ ⊆ Aut C₃	96		C3:5(C2^3.8Q8)	192,769

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