Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₁₈

Direct product G=N×Q with N=C₁₂ and Q=C₁₈

		d	ρ	Label	ID
C₆×C₃₆		216		C6xC36	216,73

Semidirect products G=N:Q with N=C₁₂ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₁₈ = C₉×D₁₂	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	72	2	C12:1C18	216,48
C₁₂⋊₂C₁₈ = S₃×C₃₆	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	72	2	C12:2C18	216,47
C₁₂⋊₃C₁₈ = D₄×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	108		C12:3C18	216,76

Non-split extensions G=N.Q with N=C₁₂ and Q=C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₁₈ = C₉×Dic₆	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	72	2	C12.1C18	216,44
C₁₂.₂C₁₈ = C₉×C₃⋊C₈	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	72	2	C12.2C18	216,13
C₁₂.₃C₁₈ = D₄×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	108	2	C12.3C18	216,10
C₁₂.₄C₁₈ = Q₈×C₂₇	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	216	2	C12.4C18	216,11
C₁₂.₅C₁₈ = Q₈×C₃×C₉	φ: C₁₈/C₉ → C₂ ⊆ Aut C₁₂	216		C12.5C18	216,79

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