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Extensions 1→N→G→Q→1 with N=C2×C12 and Q=D9

Direct product G=N×Q with N=C2×C12 and Q=D9
dρLabelID
D9×C2×C12144D9xC2xC12432,342

Semidirect products G=N:Q with N=C2×C12 and Q=D9
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1D9 = C3×D18⋊C4φ: D9/C9 → C2 ⊆ Aut C2×C12144(C2xC12):1D9432,134
(C2×C12)⋊2D9 = C6.11D36φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12):2D9432,183
(C2×C12)⋊3D9 = C2×C36⋊S3φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12):3D9432,382
(C2×C12)⋊4D9 = C36.70D6φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12):4D9432,383
(C2×C12)⋊5D9 = C2×C4×C9⋊S3φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12):5D9432,381
(C2×C12)⋊6D9 = C6×D36φ: D9/C9 → C2 ⊆ Aut C2×C12144(C2xC12):6D9432,343
(C2×C12)⋊7D9 = C3×D36⋊5C2φ: D9/C9 → C2 ⊆ Aut C2×C12722(C2xC12):7D9432,344

Non-split extensions G=N.Q with N=C2×C12 and Q=D9
extensionφ:Q→Aut NdρLabelID
(C2×C12).1D9 = Dic27⋊C4φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).1D9432,12
(C2×C12).2D9 = D54⋊C4φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12).2D9432,14
(C2×C12).3D9 = C3×Dic9⋊C4φ: D9/C9 → C2 ⊆ Aut C2×C12144(C2xC12).3D9432,129
(C2×C12).4D9 = C6.Dic18φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).4D9432,181
(C2×C12).5D9 = C4⋊Dic27φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).5D9432,13
(C2×C12).6D9 = C2×Dic54φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).6D9432,43
(C2×C12).7D9 = C2×D108φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12).7D9432,45
(C2×C12).8D9 = C36⋊Dic3φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).8D9432,182
(C2×C12).9D9 = C2×C12.D9φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).9D9432,380
(C2×C12).10D9 = C4.Dic27φ: D9/C9 → C2 ⊆ Aut C2×C122162(C2xC12).10D9432,10
(C2×C12).11D9 = D108⋊5C2φ: D9/C9 → C2 ⊆ Aut C2×C122162(C2xC12).11D9432,46
(C2×C12).12D9 = C36.69D6φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12).12D9432,179
(C2×C12).13D9 = C2×C27⋊C8φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).13D9432,9
(C2×C12).14D9 = C4×Dic27φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).14D9432,11
(C2×C12).15D9 = C2×C4×D27φ: D9/C9 → C2 ⊆ Aut C2×C12216(C2xC12).15D9432,44
(C2×C12).16D9 = C2×C36.S3φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).16D9432,178
(C2×C12).17D9 = C4×C9⋊Dic3φ: D9/C9 → C2 ⊆ Aut C2×C12432(C2xC12).17D9432,180
(C2×C12).18D9 = C3×C4.Dic9φ: D9/C9 → C2 ⊆ Aut C2×C12722(C2xC12).18D9432,125
(C2×C12).19D9 = C3×C4⋊Dic9φ: D9/C9 → C2 ⊆ Aut C2×C12144(C2xC12).19D9432,130
(C2×C12).20D9 = C6×Dic18φ: D9/C9 → C2 ⊆ Aut C2×C12144(C2xC12).20D9432,340
(C2×C12).21D9 = C6×C9⋊C8central extension (φ=1)144(C2xC12).21D9432,124
(C2×C12).22D9 = C12×Dic9central extension (φ=1)144(C2xC12).22D9432,128

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