Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²⋊₂S₃

Direct product G=N×Q with N=C₃ and Q=C₄²⋊₂S₃

		d	ρ	Label	ID
C₃×C₄²⋊₂S₃		96		C3xC4^2:2S3	288,643

Semidirect products G=N:Q with N=C₃ and Q=C₄²⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄²⋊₂S₃) = C₆².₄₄C₂³	φ: C₄²⋊₂S₃/C₄×Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C4^2:2S3)	288,522
C₃⋊₂(C₄²⋊₂S₃) = C₆².₆C₂³	φ: C₄²⋊₂S₃/Dic₃⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C4^2:2S3)	288,484
C₃⋊₃(C₄²⋊₂S₃) = C₆².₄₇C₂³	φ: C₄²⋊₂S₃/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C4^2:2S3)	288,525
C₃⋊₄(C₄²⋊₂S₃) = C₁₂²⋊₁₆C₂	φ: C₄²⋊₂S₃/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3:4(C4^2:2S3)	288,729
C₃⋊₅(C₄²⋊₂S₃) = C₆².₂₅C₂³	φ: C₄²⋊₂S₃/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:5(C4^2:2S3)	288,503

Non-split extensions G=N.Q with N=C₃ and Q=C₄²⋊₂S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄²⋊₂S₃) = C₄²⋊₂D₉	φ: C₄²⋊₂S₃/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C4^2:2S3)	288,82

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