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

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

		d	ρ	Label	ID
C₃²×C₈.C₂²		144		C3^2xC8.C2^2	288,834

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₈.C₂²) = C₃×C₈.D₆	φ: C₃×C₈.C₂²/C₃×M₄(2) → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC8.C2^2)	288,680
C₃⋊₂(C₃×C₈.C₂²) = C₃×D₄.D₆	φ: C₃×C₈.C₂²/C₃×SD₁₆ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC8.C2^2)	288,686
C₃⋊₃(C₃×C₈.C₂²) = C₃×Q₁₆⋊S₃	φ: C₃×C₈.C₂²/C₃×Q₁₆ → C₂ ⊆ Aut C₃	96	4	C3:3(C3xC8.C2^2)	288,689
C₃⋊₄(C₃×C₈.C₂²) = C₃×Q₈.₁₁D₆	φ: C₃×C₈.C₂²/C₆×Q₈ → C₂ ⊆ Aut C₃	48	4	C3:4(C3xC8.C2^2)	288,713
C₃⋊₅(C₃×C₈.C₂²) = C₃×Q₈.₁₄D₆	φ: C₃×C₈.C₂²/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:5(C3xC8.C2^2)	288,722

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₈.C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₈.C₂²) = C₉×C₈.C₂²	central extension (φ=1)	144	4	C3.(C3xC8.C2^2)	288,187

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