Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₈.C₂²

Direct product G=N×Q with N=C₃ and Q=C₂×C₈.C₂²

		d	ρ	Label	ID
C₆×C₈.C₂²		96		C6xC8.C2^2	192,1463

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂×C₈.C₂²) = C₂×C₈.D₆	φ: C₂×C₈.C₂²/C₂×M₄(2) → C₂ ⊆ Aut C₃	96		C3:1(C2xC8.C2^2)	192,1306
C₃⋊₂(C₂×C₈.C₂²) = C₂×D₄.D₆	φ: C₂×C₈.C₂²/C₂×SD₁₆ → C₂ ⊆ Aut C₃	96		C3:2(C2xC8.C2^2)	192,1319
C₃⋊₃(C₂×C₈.C₂²) = C₂×Q₁₆⋊S₃	φ: C₂×C₈.C₂²/C₂×Q₁₆ → C₂ ⊆ Aut C₃	96		C3:3(C2xC8.C2^2)	192,1323
C₃⋊₄(C₂×C₈.C₂²) = S₃×C₈.C₂²	φ: C₂×C₈.C₂²/C₈.C₂² → C₂ ⊆ Aut C₃	48	8-	C3:4(C2xC8.C2^2)	192,1335
C₃⋊₅(C₂×C₈.C₂²) = C₂×Q₈.₁₁D₆	φ: C₂×C₈.C₂²/C₂²×Q₈ → C₂ ⊆ Aut C₃	96		C3:5(C2xC8.C2^2)	192,1367
C₃⋊₆(C₂×C₈.C₂²) = C₂×Q₈.₁₄D₆	φ: C₂×C₈.C₂²/C₂×C₄○D₄ → C₂ ⊆ Aut C₃	96		C3:6(C2xC8.C2^2)	192,1382

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