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		72		C3^2xC8:C2^2	288,833

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)	288,679
C₃⋊₂(C₃×C₈⋊C₂²) = C₃×D₈⋊S₃	φ: C₃×C₈⋊C₂²/C₃×D₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC8:C2^2)	288,682
C₃⋊₃(C₃×C₈⋊C₂²) = C₃×Q₈⋊₃D₆	φ: C₃×C₈⋊C₂²/C₃×SD₁₆ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC8:C2^2)	288,685
C₃⋊₄(C₃×C₈⋊C₂²) = C₃×D₁₂⋊₆C₂²	φ: C₃×C₈⋊C₂²/C₆×D₄ → C₂ ⊆ Aut C₃	24	4	C3:4(C3xC8:C2^2)	288,703
C₃⋊₅(C₃×C₈⋊C₂²) = C₃×D₄⋊D₆	φ: C₃×C₈⋊C₂²/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:5(C3xC8:C2^2)	288,720

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)	72	4	C3.(C3xC8:C2^2)	288,186

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