Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₃⋊Dic₃

Direct product G=N×Q with N=C₃ and Q=C₂²×C₃⋊Dic₃

		d	ρ	Label	ID
C₂×C₆×C₃⋊Dic₃		144		C2xC6xC3:Dic3	432,718

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×C₃⋊Dic₃) = C₂×S₃×C₃⋊Dic₃	φ: C₂²×C₃⋊Dic₃/C₂×C₃⋊Dic₃ → C₂ ⊆ Aut C₃	144		C3:1(C2^2xC3:Dic3)	432,674
C₃⋊₂(C₂²×C₃⋊Dic₃) = C₂²×C₃³⋊₅C₄	φ: C₂²×C₃⋊Dic₃/C₂×C₆² → C₂ ⊆ Aut C₃	432		C3:2(C2^2xC3:Dic3)	432,728

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×C₃⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×C₃⋊Dic₃) = C₂²×C₉⋊Dic₃	φ: C₂²×C₃⋊Dic₃/C₂×C₆² → C₂ ⊆ Aut C₃	432		C3.(C2^2xC3:Dic3)	432,396
C₃.₂(C₂²×C₃⋊Dic₃) = C₂²×He₃⋊₃C₄	central stem extension (φ=1)	144		C3.2(C2^2xC3:Dic3)	432,398

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×C3⋊Dic3