Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₈.C₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₈.C₄

		d	ρ	Label	ID
C₃²×C₈.C₄		144		C3^2xC8.C4	288,326

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₈.C₄) = C₃×C₂₄.C₄	φ: C₃×C₈.C₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xC8.C4)	288,253
C₃⋊₂(C₃×C₈.C₄) = C₃×C₁₂.₅₃D₄	φ: C₃×C₈.C₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC8.C4)	288,256

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₈.C₄) = C₉×C₈.C₄	central extension (φ=1)	144	2	C3.(C3xC8.C4)	288,58

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C8.C4