Extensions 1→N→G→Q→1 with N=C₁₂ and Q=Dic₉

Direct product G=N×Q with N=C₁₂ and Q=Dic₉

		d	ρ	Label	ID
C₁₂×Dic₉		144		C12xDic9	432,128

Semidirect products G=N:Q with N=C₁₂ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁Dic₉ = C₃₆⋊Dic₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12:1Dic9	432,182
C₁₂⋊₂Dic₉ = C₄×C₉⋊Dic₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12:2Dic9	432,180
C₁₂⋊₃Dic₉ = C₃×C₄⋊Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	144		C12:3Dic9	432,130

Non-split extensions G=N.Q with N=C₁₂ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁Dic₉ = C₄.Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	216	2	C12.1Dic9	432,10
C₁₂.₂Dic₉ = C₄⋊Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.2Dic9	432,13
C₁₂.₃Dic₉ = C₃₆.₆₉D₆	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	216		C12.3Dic9	432,179
C₁₂.₄Dic₉ = C₂₇⋊C₁₆	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432	2	C12.4Dic9	432,1
C₁₂.₅Dic₉ = C₂×C₂₇⋊C₈	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.5Dic9	432,9
C₁₂.₆Dic₉ = C₄×Dic₂₇	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.6Dic9	432,11
C₁₂.₇Dic₉ = C₇₂.S₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.7Dic9	432,32
C₁₂.₈Dic₉ = C₂×C₃₆.S₃	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	432		C12.8Dic9	432,178
C₁₂.₉Dic₉ = C₃×C₄.Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₁₂	72	2	C12.9Dic9	432,125
C₁₂.₁₀Dic₉ = C₃×C₉⋊C₁₆	central extension (φ=1)	144	2	C12.10Dic9	432,28
C₁₂.₁₁Dic₉ = C₆×C₉⋊C₈	central extension (φ=1)	144		C12.11Dic9	432,124

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