Extensions 1→N→G→Q→1 with N=C6xC18 and Q=C2

Direct product G=NxQ with N=C6xC18 and Q=C2
dρLabelID
C2xC6xC18216C2xC6xC18216,114

Semidirect products G=N:Q with N=C6xC18 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6xC18):1C2 = C9xC3:D4φ: C2/C1C2 ⊆ Aut C6xC18362(C6xC18):1C2216,58
(C6xC18):2C2 = D4xC3xC9φ: C2/C1C2 ⊆ Aut C6xC18108(C6xC18):2C2216,76
(C6xC18):3C2 = S3xC2xC18φ: C2/C1C2 ⊆ Aut C6xC1872(C6xC18):3C2216,109
(C6xC18):4C2 = C3xC9:D4φ: C2/C1C2 ⊆ Aut C6xC18362(C6xC18):4C2216,57
(C6xC18):5C2 = C6.D18φ: C2/C1C2 ⊆ Aut C6xC18108(C6xC18):5C2216,70
(C6xC18):6C2 = C2xC6xD9φ: C2/C1C2 ⊆ Aut C6xC1872(C6xC18):6C2216,108
(C6xC18):7C2 = C22xC9:S3φ: C2/C1C2 ⊆ Aut C6xC18108(C6xC18):7C2216,112

Non-split extensions G=N.Q with N=C6xC18 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C6xC18).1C2 = Dic3xC18φ: C2/C1C2 ⊆ Aut C6xC1872(C6xC18).1C2216,56
(C6xC18).2C2 = C6xDic9φ: C2/C1C2 ⊆ Aut C6xC1872(C6xC18).2C2216,55
(C6xC18).3C2 = C2xC9:Dic3φ: C2/C1C2 ⊆ Aut C6xC18216(C6xC18).3C2216,69

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