Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=Dic₃

Direct product G=N×Q with N=C₂²⋊C₄ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₂²⋊C₄		96		Dic3xC2^2:C4	192,500

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁Dic₃ = C₂⁴⋊₅Dic₃	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²⋊C₄	24	4	C2^2:C4:1Dic3	192,95
C₂²⋊C₄⋊₂Dic₃ = (C₂²×C₁₂)⋊C₄	φ: Dic₃/C₃ → C₄ ⊆ Out C₂²⋊C₄	48	4	C2^2:C4:2Dic3	192,98
C₂²⋊C₄⋊₃Dic₃ = C₂⁴.₁₃D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:3Dic3	192,86
C₂²⋊C₄⋊₄Dic₃ = C₂⁴.₅₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4:4Dic3	192,509
C₂²⋊C₄⋊₅Dic₃ = C₂⁴.₁₉D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4:5Dic3	192,510

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁Dic₃ = (C₂×C₁₂).Q₈	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	48	4	C2^2:C4.1Dic3	192,92
C₂²⋊C₄.₂Dic₃ = C₄².₄₃D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.2Dic3	192,558
C₂²⋊C₄.₃Dic₃ = C₄².₁₈₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.3Dic3	192,559
C₂²⋊C₄.₄Dic₃ = C₄².₄₇D₆	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.4Dic3	192,570
C₂²⋊C₄.₅Dic₃ = C₁₂⋊₃M₄(2)	φ: Dic₃/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.5Dic3	192,571
C₂²⋊C₄.₆Dic₃ = C₁₂.₅C₄²	φ: trivial image	96		C2^2:C4.6Dic3	192,556
C₂²⋊C₄.₇Dic₃ = D₄×C₃⋊C₈	φ: trivial image	96		C2^2:C4.7Dic3	192,569

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