# Extensions 1→N→G→Q→1 with N=C3×C18 and Q=C22

Direct product G=N×Q with N=C3×C18 and Q=C22
dρLabelID
C2×C6×C18216C2xC6xC18216,114

Semidirect products G=N:Q with N=C3×C18 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊C22 = C2×S3×D9φ: C22/C1C22 ⊆ Aut C3×C18364+(C3xC18):C2^2216,101
(C3×C18)⋊2C22 = S3×C2×C18φ: C22/C2C2 ⊆ Aut C3×C1872(C3xC18):2C2^2216,109
(C3×C18)⋊3C22 = C2×C6×D9φ: C22/C2C2 ⊆ Aut C3×C1872(C3xC18):3C2^2216,108
(C3×C18)⋊4C22 = C22×C9⋊S3φ: C22/C2C2 ⊆ Aut C3×C18108(C3xC18):4C2^2216,112

Non-split extensions G=N.Q with N=C3×C18 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C3×C18).1C22 = C9⋊Dic6φ: C22/C1C22 ⊆ Aut C3×C18724-(C3xC18).1C2^2216,26
(C3×C18).2C22 = Dic3×D9φ: C22/C1C22 ⊆ Aut C3×C18724-(C3xC18).2C2^2216,27
(C3×C18).3C22 = C18.D6φ: C22/C1C22 ⊆ Aut C3×C18364+(C3xC18).3C2^2216,28
(C3×C18).4C22 = C3⋊D36φ: C22/C1C22 ⊆ Aut C3×C18364+(C3xC18).4C2^2216,29
(C3×C18).5C22 = S3×Dic9φ: C22/C1C22 ⊆ Aut C3×C18724-(C3xC18).5C2^2216,30
(C3×C18).6C22 = D6⋊D9φ: C22/C1C22 ⊆ Aut C3×C18724-(C3xC18).6C2^2216,31
(C3×C18).7C22 = C9⋊D12φ: C22/C1C22 ⊆ Aut C3×C18364+(C3xC18).7C2^2216,32
(C3×C18).8C22 = C9×Dic6φ: C22/C2C2 ⊆ Aut C3×C18722(C3xC18).8C2^2216,44
(C3×C18).9C22 = S3×C36φ: C22/C2C2 ⊆ Aut C3×C18722(C3xC18).9C2^2216,47
(C3×C18).10C22 = C9×D12φ: C22/C2C2 ⊆ Aut C3×C18722(C3xC18).10C2^2216,48
(C3×C18).11C22 = Dic3×C18φ: C22/C2C2 ⊆ Aut C3×C1872(C3xC18).11C2^2216,56
(C3×C18).12C22 = C9×C3⋊D4φ: C22/C2C2 ⊆ Aut C3×C18362(C3xC18).12C2^2216,58
(C3×C18).13C22 = C3×Dic18φ: C22/C2C2 ⊆ Aut C3×C18722(C3xC18).13C2^2216,43
(C3×C18).14C22 = C12×D9φ: C22/C2C2 ⊆ Aut C3×C18722(C3xC18).14C2^2216,45
(C3×C18).15C22 = C3×D36φ: C22/C2C2 ⊆ Aut C3×C18722(C3xC18).15C2^2216,46
(C3×C18).16C22 = C6×Dic9φ: C22/C2C2 ⊆ Aut C3×C1872(C3xC18).16C2^2216,55
(C3×C18).17C22 = C3×C9⋊D4φ: C22/C2C2 ⊆ Aut C3×C18362(C3xC18).17C2^2216,57
(C3×C18).18C22 = C12.D9φ: C22/C2C2 ⊆ Aut C3×C18216(C3xC18).18C2^2216,63
(C3×C18).19C22 = C4×C9⋊S3φ: C22/C2C2 ⊆ Aut C3×C18108(C3xC18).19C2^2216,64
(C3×C18).20C22 = C36⋊S3φ: C22/C2C2 ⊆ Aut C3×C18108(C3xC18).20C2^2216,65
(C3×C18).21C22 = C2×C9⋊Dic3φ: C22/C2C2 ⊆ Aut C3×C18216(C3xC18).21C2^2216,69
(C3×C18).22C22 = C6.D18φ: C22/C2C2 ⊆ Aut C3×C18108(C3xC18).22C2^2216,70
(C3×C18).23C22 = D4×C3×C9central extension (φ=1)108(C3xC18).23C2^2216,76
(C3×C18).24C22 = Q8×C3×C9central extension (φ=1)216(C3xC18).24C2^2216,79

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