# Extensions 1→N→G→Q→1 with N=C3×C9 and Q=D6

Direct product G=N×Q with N=C3×C9 and Q=D6
dρLabelID
S3×C3×C18108S3xC3xC18324,137

Semidirect products G=N:Q with N=C3×C9 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C3×C9)⋊1D6 = C32⋊D18φ: D6/C1D6 ⊆ Aut C3×C91812+(C3xC9):1D6324,37
(C3×C9)⋊2D6 = He3.D6φ: D6/C1D6 ⊆ Aut C3×C9276+(C3xC9):2D6324,40
(C3×C9)⋊3D6 = He3.2D6φ: D6/C1D6 ⊆ Aut C3×C9276+(C3xC9):3D6324,41
(C3×C9)⋊4D6 = He3.6D6φ: D6/C1D6 ⊆ Aut C3×C9276+(C3xC9):4D6324,125
(C3×C9)⋊5D6 = C2×C32⋊C18φ: D6/C2S3 ⊆ Aut C3×C9366(C3xC9):5D6324,62
(C3×C9)⋊6D6 = C2×He3.C6φ: D6/C2S3 ⊆ Aut C3×C9543(C3xC9):6D6324,70
(C3×C9)⋊7D6 = C2×He3.2C6φ: D6/C2S3 ⊆ Aut C3×C9543(C3xC9):7D6324,72
(C3×C9)⋊8D6 = C2×C322D9φ: D6/C2S3 ⊆ Aut C3×C9366(C3xC9):8D6324,75
(C3×C9)⋊9D6 = C2×He3.3S3φ: D6/C2S3 ⊆ Aut C3×C9546+(C3xC9):9D6324,78
(C3×C9)⋊10D6 = C2×He3⋊S3φ: D6/C2S3 ⊆ Aut C3×C9546+(C3xC9):10D6324,79
(C3×C9)⋊11D6 = C2×He3.4S3φ: D6/C2S3 ⊆ Aut C3×C9546+(C3xC9):11D6324,147
(C3×C9)⋊12D6 = C2×He3.4C6φ: D6/C2S3 ⊆ Aut C3×C9543(C3xC9):12D6324,148
(C3×C9)⋊13D6 = D9×C3⋊S3φ: D6/C3C22 ⊆ Aut C3×C954(C3xC9):13D6324,119
(C3×C9)⋊14D6 = C325D18φ: D6/C3C22 ⊆ Aut C3×C9364(C3xC9):14D6324,123
(C3×C9)⋊15D6 = S32×C9φ: D6/S3C2 ⊆ Aut C3×C9364(C3xC9):15D6324,115
(C3×C9)⋊16D6 = C3×S3×D9φ: D6/S3C2 ⊆ Aut C3×C9364(C3xC9):16D6324,114
(C3×C9)⋊17D6 = S3×C9⋊S3φ: D6/S3C2 ⊆ Aut C3×C954(C3xC9):17D6324,120
(C3×C9)⋊18D6 = C18×C3⋊S3φ: D6/C6C2 ⊆ Aut C3×C9108(C3xC9):18D6324,143
(C3×C9)⋊19D6 = C6×C9⋊S3φ: D6/C6C2 ⊆ Aut C3×C9108(C3xC9):19D6324,142
(C3×C9)⋊20D6 = C2×C324D9φ: D6/C6C2 ⊆ Aut C3×C9162(C3xC9):20D6324,149

Non-split extensions G=N.Q with N=C3×C9 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C3×C9).1D6 = C2×C9⋊C18φ: D6/C2S3 ⊆ Aut C3×C9366(C3xC9).1D6324,64
(C3×C9).2D6 = C2×3- 1+2.S3φ: D6/C2S3 ⊆ Aut C3×C9546+(C3xC9).2D6324,80
(C3×C9).3D6 = C2×C27⋊C6φ: D6/C2S3 ⊆ Aut C3×C9546+(C3xC9).3D6324,67
(C3×C9).4D6 = D92φ: D6/C3C22 ⊆ Aut C3×C9184+(C3xC9).4D6324,36
(C3×C9).5D6 = S3×D27φ: D6/C3C22 ⊆ Aut C3×C9544+(C3xC9).5D6324,38
(C3×C9).6D6 = D9×C18φ: D6/C6C2 ⊆ Aut C3×C9362(C3xC9).6D6324,61
(C3×C9).7D6 = C6×D27φ: D6/C6C2 ⊆ Aut C3×C91082(C3xC9).7D6324,65
(C3×C9).8D6 = C2×C9⋊D9φ: D6/C6C2 ⊆ Aut C3×C9162(C3xC9).8D6324,74
(C3×C9).9D6 = C2×C27⋊S3φ: D6/C6C2 ⊆ Aut C3×C9162(C3xC9).9D6324,76

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