Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃₆

Direct product G=N×Q with N=C₁₂ and Q=C₃₆

		d	ρ	Label	ID
C₁₂×C₃₆		432		C12xC36	432,200

Semidirect products G=N:Q with N=C₁₂ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₃₆ = C₉×C₄⋊Dic₃	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12:1C36	432,133
C₁₂⋊₂C₃₆ = Dic₃×C₃₆	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12:2C36	432,131
C₁₂⋊₃C₃₆ = C₄⋊C₄×C₃×C₉	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12:3C36	432,206

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₃₆ = C₉×C₄.Dic₃	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	72	2	C12.1C36	432,127
C₁₂.₂C₃₆ = C₉×C₃⋊C₁₆	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	144	2	C12.2C36	432,29
C₁₂.₃C₃₆ = C₁₈×C₃⋊C₈	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12.3C36	432,126
C₁₂.₄C₃₆ = C₄⋊C₄×C₂₇	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.4C36	432,22
C₁₂.₅C₃₆ = M₄(2)×C₂₇	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.5C36	432,24
C₁₂.₆C₃₆ = M₄(2)×C₃×C₉	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.6C36	432,212

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