Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂⁴.C₂²

Direct product G=N×Q with N=C₃ and Q=C₂⁴.C₂²

		d	ρ	Label	ID
C₃×C₂⁴.C₂²		96		C3xC2^4.C2^2	192,821

Semidirect products G=N:Q with N=C₃ and Q=C₂⁴.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂⁴.C₂²) = D₆⋊C₄⋊₅C₄	φ: C₂⁴.C₂²/C₂.C₄² → C₂ ⊆ Aut C₃	96		C3:1(C2^4.C2^2)	192,228
C₃⋊₂(C₂⁴.C₂²) = D₆⋊C₄⋊₃C₄	φ: C₂⁴.C₂²/C₂.C₄² → C₂ ⊆ Aut C₃	96		C3:2(C2^4.C2^2)	192,229
C₃⋊₃(C₂⁴.C₂²) = (C₂×C₄²)⋊₃S₃	φ: C₂⁴.C₂²/C₂×C₄² → C₂ ⊆ Aut C₃	96		C3:3(C2^4.C2^2)	192,499
C₃⋊₄(C₂⁴.C₂²) = C₂⁴.₁₄D₆	φ: C₂⁴.C₂²/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:4(C2^4.C2^2)	192,503
C₃⋊₅(C₂⁴.C₂²) = C₂⁴.₁₅D₆	φ: C₂⁴.C₂²/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:5(C2^4.C2^2)	192,504
C₃⋊₆(C₂⁴.C₂²) = C₂⁴.₁₉D₆	φ: C₂⁴.C₂²/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₃	96		C3:6(C2^4.C2^2)	192,510
C₃⋊₇(C₂⁴.C₂²) = D₆⋊C₄⋊₇C₄	φ: C₂⁴.C₂²/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:7(C2^4.C2^2)	192,549

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