Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₃

Direct product G=N×Q with N=C₁₂ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₁₂		48		Dic3xC12	144,76

Semidirect products G=N:Q with N=C₁₂ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁Dic₃ = C₁₂⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12:1Dic3	144,94
C₁₂⋊₂Dic₃ = C₄×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12:2Dic3	144,92
C₁₂⋊₃Dic₃ = C₃×C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	48		C12:3Dic3	144,78

Non-split extensions G=N.Q with N=C₁₂ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁Dic₃ = C₄.Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	72	2	C12.1Dic3	144,10
C₁₂.₂Dic₃ = C₄⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12.2Dic3	144,13
C₁₂.₃Dic₃ = C₁₂.₅₈D₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	72		C12.3Dic3	144,91
C₁₂.₄Dic₃ = C₉⋊C₁₆	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144	2	C12.4Dic3	144,1
C₁₂.₅Dic₃ = C₂×C₉⋊C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12.5Dic3	144,9
C₁₂.₆Dic₃ = C₄×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12.6Dic3	144,11
C₁₂.₇Dic₃ = C₂₄.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12.7Dic3	144,29
C₁₂.₈Dic₃ = C₂×C₃²⋊₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	144		C12.8Dic3	144,90
C₁₂.₉Dic₃ = C₃×C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₂	24	2	C12.9Dic3	144,75
C₁₂.₁₀Dic₃ = C₃×C₃⋊C₁₆	central extension (φ=1)	48	2	C12.10Dic3	144,28
C₁₂.₁₁Dic₃ = C₆×C₃⋊C₈	central extension (φ=1)	48		C12.11Dic3	144,74

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