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Extensions 1→N→G→Q→1 with N=C3×C18 and Q=D4

Direct product G=N×Q with N=C3×C18 and Q=D4
dρLabelID
D4×C3×C18216D4xC3xC18432,403

Semidirect products G=N:Q with N=C3×C18 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊1D4 = C2×C3⋊D36φ: D4/C2 → C22 ⊆ Aut C3×C1872(C3xC18):1D4432,307
(C3×C18)⋊2D4 = C2×D6⋊D9φ: D4/C2 → C22 ⊆ Aut C3×C18144(C3xC18):2D4432,311
(C3×C18)⋊3D4 = C2×C9⋊D12φ: D4/C2 → C22 ⊆ Aut C3×C1872(C3xC18):3D4432,312
(C3×C18)⋊4D4 = C18×D12φ: D4/C4 → C2 ⊆ Aut C3×C18144(C3xC18):4D4432,346
(C3×C18)⋊5D4 = C6×D36φ: D4/C4 → C2 ⊆ Aut C3×C18144(C3xC18):5D4432,343
(C3×C18)⋊6D4 = C2×C36⋊S3φ: D4/C4 → C2 ⊆ Aut C3×C18216(C3xC18):6D4432,382
(C3×C18)⋊7D4 = C18×C3⋊D4φ: D4/C22 → C2 ⊆ Aut C3×C1872(C3xC18):7D4432,375
(C3×C18)⋊8D4 = C6×C9⋊D4φ: D4/C22 → C2 ⊆ Aut C3×C1872(C3xC18):8D4432,374
(C3×C18)⋊9D4 = C2×C6.D18φ: D4/C22 → C2 ⊆ Aut C3×C18216(C3xC18):9D4432,397

Non-split extensions G=N.Q with N=C3×C18 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C3×C18).1D4 = D36.S3φ: D4/C2 → C22 ⊆ Aut C3×C181444-(C3xC18).1D4432,62
(C3×C18).2D4 = C6.D36φ: D4/C2 → C22 ⊆ Aut C3×C18724+(C3xC18).2D4432,63
(C3×C18).3D4 = C3⋊D72φ: D4/C2 → C22 ⊆ Aut C3×C18724+(C3xC18).3D4432,64
(C3×C18).4D4 = C3⋊Dic36φ: D4/C2 → C22 ⊆ Aut C3×C181444-(C3xC18).4D4432,65
(C3×C18).5D4 = D36⋊S3φ: D4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).5D4432,68
(C3×C18).6D4 = C9⋊D24φ: D4/C2 → C22 ⊆ Aut C3×C18724+(C3xC18).6D4432,69
(C3×C18).7D4 = D12.D9φ: D4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).7D4432,70
(C3×C18).8D4 = C36.D6φ: D4/C2 → C22 ⊆ Aut C3×C181444-(C3xC18).8D4432,71
(C3×C18).9D4 = Dic6⋊D9φ: D4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).9D4432,72
(C3×C18).10D4 = C18.D12φ: D4/C2 → C22 ⊆ Aut C3×C18724+(C3xC18).10D4432,73
(C3×C18).11D4 = C12.D18φ: D4/C2 → C22 ⊆ Aut C3×C181444(C3xC18).11D4432,74
(C3×C18).12D4 = C9⋊Dic12φ: D4/C2 → C22 ⊆ Aut C3×C181444-(C3xC18).12D4432,75
(C3×C18).13D4 = Dic9⋊Dic3φ: D4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).13D4432,88
(C3×C18).14D4 = C18.Dic6φ: D4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).14D4432,89
(C3×C18).15D4 = Dic3⋊Dic9φ: D4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).15D4432,90
(C3×C18).16D4 = D18⋊Dic3φ: D4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).16D4432,91
(C3×C18).17D4 = C6.18D36φ: D4/C2 → C22 ⊆ Aut C3×C1872(C3xC18).17D4432,92
(C3×C18).18D4 = D6⋊Dic9φ: D4/C2 → C22 ⊆ Aut C3×C18144(C3xC18).18D4432,93
(C3×C18).19D4 = C9×C24⋊C2φ: D4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).19D4432,111
(C3×C18).20D4 = C9×D24φ: D4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).20D4432,112
(C3×C18).21D4 = C9×Dic12φ: D4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).21D4432,113
(C3×C18).22D4 = C9×C4⋊Dic3φ: D4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).22D4432,133
(C3×C18).23D4 = C9×D6⋊C4φ: D4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).23D4432,135
(C3×C18).24D4 = C3×Dic36φ: D4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).24D4432,104
(C3×C18).25D4 = C3×C72⋊C2φ: D4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).25D4432,107
(C3×C18).26D4 = C3×D72φ: D4/C4 → C2 ⊆ Aut C3×C181442(C3xC18).26D4432,108
(C3×C18).27D4 = C3×C4⋊Dic9φ: D4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).27D4432,130
(C3×C18).28D4 = C3×D18⋊C4φ: D4/C4 → C2 ⊆ Aut C3×C18144(C3xC18).28D4432,134
(C3×C18).29D4 = C24.D9φ: D4/C4 → C2 ⊆ Aut C3×C18432(C3xC18).29D4432,168
(C3×C18).30D4 = C24⋊D9φ: D4/C4 → C2 ⊆ Aut C3×C18216(C3xC18).30D4432,171
(C3×C18).31D4 = C72⋊1S3φ: D4/C4 → C2 ⊆ Aut C3×C18216(C3xC18).31D4432,172
(C3×C18).32D4 = C36⋊Dic3φ: D4/C4 → C2 ⊆ Aut C3×C18432(C3xC18).32D4432,182
(C3×C18).33D4 = C9×Dic3⋊C4φ: D4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).33D4432,132
(C3×C18).34D4 = C9×D4⋊S3φ: D4/C22 → C2 ⊆ Aut C3×C18724(C3xC18).34D4432,150
(C3×C18).35D4 = C9×D4.S3φ: D4/C22 → C2 ⊆ Aut C3×C18724(C3xC18).35D4432,151
(C3×C18).36D4 = C9×Q8⋊2S3φ: D4/C22 → C2 ⊆ Aut C3×C181444(C3xC18).36D4432,158
(C3×C18).37D4 = C9×C3⋊Q16φ: D4/C22 → C2 ⊆ Aut C3×C181444(C3xC18).37D4432,159
(C3×C18).38D4 = C9×C6.D4φ: D4/C22 → C2 ⊆ Aut C3×C1872(C3xC18).38D4432,165
(C3×C18).39D4 = C3×Dic9⋊C4φ: D4/C22 → C2 ⊆ Aut C3×C18144(C3xC18).39D4432,129
(C3×C18).40D4 = C3×D4.D9φ: D4/C22 → C2 ⊆ Aut C3×C18724(C3xC18).40D4432,148
(C3×C18).41D4 = C3×D4⋊D9φ: D4/C22 → C2 ⊆ Aut C3×C18724(C3xC18).41D4432,149
(C3×C18).42D4 = C3×C9⋊Q16φ: D4/C22 → C2 ⊆ Aut C3×C181444(C3xC18).42D4432,156
(C3×C18).43D4 = C3×Q8⋊2D9φ: D4/C22 → C2 ⊆ Aut C3×C181444(C3xC18).43D4432,157
(C3×C18).44D4 = C3×C18.D4φ: D4/C22 → C2 ⊆ Aut C3×C1872(C3xC18).44D4432,164
(C3×C18).45D4 = C6.Dic18φ: D4/C22 → C2 ⊆ Aut C3×C18432(C3xC18).45D4432,181
(C3×C18).46D4 = C6.11D36φ: D4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).46D4432,183
(C3×C18).47D4 = C36.17D6φ: D4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).47D4432,190
(C3×C18).48D4 = C36.18D6φ: D4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).48D4432,191
(C3×C18).49D4 = C36.19D6φ: D4/C22 → C2 ⊆ Aut C3×C18432(C3xC18).49D4432,194
(C3×C18).50D4 = C36.20D6φ: D4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).50D4432,195
(C3×C18).51D4 = C62.127D6φ: D4/C22 → C2 ⊆ Aut C3×C18216(C3xC18).51D4432,198
(C3×C18).52D4 = C22⋊C4×C3×C9central extension (φ=1)216(C3xC18).52D4432,203
(C3×C18).53D4 = C4⋊C4×C3×C9central extension (φ=1)432(C3xC18).53D4432,206
(C3×C18).54D4 = D8×C3×C9central extension (φ=1)216(C3xC18).54D4432,215
(C3×C18).55D4 = SD16×C3×C9central extension (φ=1)216(C3xC18).55D4432,218
(C3×C18).56D4 = Q16×C3×C9central extension (φ=1)432(C3xC18).56D4432,221

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