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

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

		d	ρ	Label	ID
C₃²×C₂²⋊C₈		144		C3^2xC2^2:C8	288,316

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₂²⋊C₈) = C₃×D₆⋊C₈	φ: C₃×C₂²⋊C₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:1(C3xC2^2:C8)	288,254
C₃⋊₂(C₃×C₂²⋊C₈) = C₃×C₁₂.₅₅D₄	φ: C₃×C₂²⋊C₈/C₂²×C₁₂ → C₂ ⊆ Aut C₃	48		C3:2(C3xC2^2:C8)	288,264

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₂²⋊C₈) = C₉×C₂²⋊C₈	central extension (φ=1)	144		C3.(C3xC2^2:C8)	288,48

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