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Extensions 1→N→G→Q→1 with N=C3×C18 and Q=C6

Direct product G=N×Q with N=C3×C18 and Q=C6
dρLabelID
C3×C6×C18324C3xC6xC18324,151

Semidirect products G=N:Q with N=C3×C18 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊1C6 = C2×C32⋊D9φ: C6/C1 → C6 ⊆ Aut C3×C1854(C3xC18):1C6324,63
(C3×C18)⋊2C6 = C2×He3.S3φ: C6/C1 → C6 ⊆ Aut C3×C18546+(C3xC18):2C6324,71
(C3×C18)⋊3C6 = C2×He3.2S3φ: C6/C1 → C6 ⊆ Aut C3×C18546+(C3xC18):3C6324,73
(C3×C18)⋊4C6 = C6×C9⋊C6φ: C6/C1 → C6 ⊆ Aut C3×C18366(C3xC18):4C6324,140
(C3×C18)⋊5C6 = C2×C33.S3φ: C6/C1 → C6 ⊆ Aut C3×C1854(C3xC18):5C6324,146
(C3×C18)⋊6C6 = C2×He3.4S3φ: C6/C1 → C6 ⊆ Aut C3×C18546+(C3xC18):6C6324,147
(C3×C18)⋊7C6 = C2×S3×3- 1+2φ: C6/C1 → C6 ⊆ Aut C3×C18366(C3xC18):7C6324,141
(C3×C18)⋊8C6 = C22×C32⋊C9φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18):8C6324,82
(C3×C18)⋊9C6 = C22×He3.C3φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18):9C6324,87
(C3×C18)⋊10C6 = C22×He3⋊C3φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18):10C6324,88
(C3×C18)⋊11C6 = C2×C6×3- 1+2φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18):11C6324,153
(C3×C18)⋊12C6 = C22×C9○He3φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18):12C6324,154
(C3×C18)⋊13C6 = S3×C3×C18φ: C6/C3 → C2 ⊆ Aut C3×C18108(C3xC18):13C6324,137
(C3×C18)⋊14C6 = D9×C3×C6φ: C6/C3 → C2 ⊆ Aut C3×C18108(C3xC18):14C6324,136
(C3×C18)⋊15C6 = C6×C9⋊S3φ: C6/C3 → C2 ⊆ Aut C3×C18108(C3xC18):15C6324,142

Non-split extensions G=N.Q with N=C3×C18 and Q=C6
extensionφ:Q→Aut NdρLabelID
(C3×C18).1C6 = C32⋊Dic9φ: C6/C1 → C6 ⊆ Aut C3×C18108(C3xC18).1C6324,8
(C3×C18).2C6 = He3.Dic3φ: C6/C1 → C6 ⊆ Aut C3×C181086-(C3xC18).2C6324,16
(C3×C18).3C6 = He3.2Dic3φ: C6/C1 → C6 ⊆ Aut C3×C181086-(C3xC18).3C6324,18
(C3×C18).4C6 = C9⋊C36φ: C6/C1 → C6 ⊆ Aut C3×C18366(C3xC18).4C6324,9
(C3×C18).5C6 = C2×C9⋊C18φ: C6/C1 → C6 ⊆ Aut C3×C18366(C3xC18).5C6324,64
(C3×C18).6C6 = C3×C9⋊C12φ: C6/C1 → C6 ⊆ Aut C3×C18366(C3xC18).6C6324,94
(C3×C18).7C6 = C33.Dic3φ: C6/C1 → C6 ⊆ Aut C3×C18108(C3xC18).7C6324,100
(C3×C18).8C6 = He3.4Dic3φ: C6/C1 → C6 ⊆ Aut C3×C181086-(C3xC18).8C6324,101
(C3×C18).9C6 = Dic3×3- 1+2φ: C6/C1 → C6 ⊆ Aut C3×C18366(C3xC18).9C6324,95
(C3×C18).10C6 = C4×C32⋊C9φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18).10C6324,27
(C3×C18).11C6 = C4×C9⋊C9φ: C6/C2 → C3 ⊆ Aut C3×C18324(C3xC18).11C6324,28
(C3×C18).12C6 = C4×He3.C3φ: C6/C2 → C3 ⊆ Aut C3×C181083(C3xC18).12C6324,32
(C3×C18).13C6 = C4×He3⋊C3φ: C6/C2 → C3 ⊆ Aut C3×C181083(C3xC18).13C6324,33
(C3×C18).14C6 = C4×C3.He3φ: C6/C2 → C3 ⊆ Aut C3×C181083(C3xC18).14C6324,34
(C3×C18).15C6 = C22×C9⋊C9φ: C6/C2 → C3 ⊆ Aut C3×C18324(C3xC18).15C6324,83
(C3×C18).16C6 = C22×C3.He3φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18).16C6324,89
(C3×C18).17C6 = C4×C27⋊C3φ: C6/C2 → C3 ⊆ Aut C3×C181083(C3xC18).17C6324,30
(C3×C18).18C6 = C22×C27⋊C3φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18).18C6324,85
(C3×C18).19C6 = C12×3- 1+2φ: C6/C2 → C3 ⊆ Aut C3×C18108(C3xC18).19C6324,107
(C3×C18).20C6 = C4×C9○He3φ: C6/C2 → C3 ⊆ Aut C3×C181083(C3xC18).20C6324,108
(C3×C18).21C6 = Dic3×C27φ: C6/C3 → C2 ⊆ Aut C3×C181082(C3xC18).21C6324,11
(C3×C18).22C6 = S3×C54φ: C6/C3 → C2 ⊆ Aut C3×C181082(C3xC18).22C6324,66
(C3×C18).23C6 = Dic3×C3×C9φ: C6/C3 → C2 ⊆ Aut C3×C18108(C3xC18).23C6324,91
(C3×C18).24C6 = C9×Dic9φ: C6/C3 → C2 ⊆ Aut C3×C18362(C3xC18).24C6324,6
(C3×C18).25C6 = D9×C18φ: C6/C3 → C2 ⊆ Aut C3×C18362(C3xC18).25C6324,61
(C3×C18).26C6 = C32×Dic9φ: C6/C3 → C2 ⊆ Aut C3×C18108(C3xC18).26C6324,90
(C3×C18).27C6 = C3×C9⋊Dic3φ: C6/C3 → C2 ⊆ Aut C3×C18108(C3xC18).27C6324,96

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