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

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

		d	ρ	Label	ID
C₁₂²		144		C12^2	144,101

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₁₂ = C₃×C₄⋊Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	48		C12:1C12	144,78
C₁₂⋊₂C₁₂ = Dic₃×C₁₂	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	48		C12:2C12	144,76
C₁₂⋊₃C₁₂ = C₃²×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	144		C12:3C12	144,103

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₁₂ = C₃×C₄.Dic₃	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	24	2	C12.1C12	144,75
C₁₂.₂C₁₂ = C₃×C₃⋊C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	48	2	C12.2C12	144,28
C₁₂.₃C₁₂ = C₆×C₃⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	48		C12.3C12	144,74
C₁₂.₄C₁₂ = C₉×C₄⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	144		C12.4C12	144,22
C₁₂.₅C₁₂ = C₉×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	72	2	C12.5C12	144,24
C₁₂.₆C₁₂ = C₃²×M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₂	72		C12.6C12	144,105

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